TSTP Solution File: ALG185+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG185+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 16:39:41 EDT 2023
% Result : Theorem 27.28s 4.57s
% Output : Proof 53.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG185+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 05:55:31 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.62 ________ _____
% 0.19/0.62 ___ __ \_________(_)________________________________
% 0.19/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.62
% 0.19/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.62 (2023-06-19)
% 0.19/0.62
% 0.19/0.62 (c) Philipp Rümmer, 2009-2023
% 0.19/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.62 Amanda Stjerna.
% 0.19/0.62 Free software under BSD-3-Clause.
% 0.19/0.62
% 0.19/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.62
% 0.19/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.63 Running up to 7 provers in parallel.
% 0.19/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.74/1.38 Prover 1: Preprocessing ...
% 3.74/1.38 Prover 4: Preprocessing ...
% 4.02/1.44 Prover 2: Preprocessing ...
% 4.02/1.44 Prover 5: Preprocessing ...
% 4.02/1.44 Prover 0: Preprocessing ...
% 4.02/1.44 Prover 3: Preprocessing ...
% 4.02/1.44 Prover 6: Preprocessing ...
% 10.18/2.22 Prover 0: Constructing countermodel ...
% 10.18/2.22 Prover 2: Constructing countermodel ...
% 10.18/2.22 Prover 6: Constructing countermodel ...
% 10.18/2.22 Prover 1: Constructing countermodel ...
% 10.18/2.22 Prover 4: Constructing countermodel ...
% 10.18/2.22 Prover 3: Constructing countermodel ...
% 13.31/2.80 Prover 5: Constructing countermodel ...
% 27.28/4.56 Prover 6: proved (3909ms)
% 27.28/4.56
% 27.28/4.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.28/4.57
% 27.37/4.58 Prover 2: stopped
% 27.37/4.58 Prover 5: stopped
% 27.37/4.58 Prover 0: stopped
% 27.37/4.58 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 27.37/4.58 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 27.37/4.58 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 27.37/4.58 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 27.37/4.59 Prover 3: stopped
% 27.37/4.60 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 27.88/4.71 Prover 10: Preprocessing ...
% 28.92/4.80 Prover 10: Constructing countermodel ...
% 28.92/4.82 Prover 8: Preprocessing ...
% 28.92/4.82 Prover 13: Preprocessing ...
% 28.92/4.83 Prover 7: Preprocessing ...
% 29.52/4.86 Prover 11: Preprocessing ...
% 29.68/4.91 Prover 8: Constructing countermodel ...
% 30.03/4.97 Prover 11: Constructing countermodel ...
% 30.03/4.99 Prover 7: Constructing countermodel ...
% 30.03/5.04 Prover 13: Constructing countermodel ...
% 47.65/7.31 Prover 4: Found proof (size 1722)
% 47.65/7.31 Prover 4: proved (6671ms)
% 47.65/7.32 Prover 8: stopped
% 47.65/7.32 Prover 13: stopped
% 47.65/7.32 Prover 7: stopped
% 47.65/7.32 Prover 11: stopped
% 47.65/7.32 Prover 1: stopped
% 47.65/7.32 Prover 10: stopped
% 47.65/7.32
% 47.65/7.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.65/7.32
% 50.26/7.86 % SZS output start Proof for theBenchmark
% 50.26/7.88 Assumptions after simplification:
% 50.26/7.88 ---------------------------------
% 50.43/7.89
% 50.43/7.89 (ax1)
% 50.43/7.91 ~ (e14 = e13) & ~ (e14 = e12) & ~ (e14 = e10) & ~ (e14 = e11) & ~ (e13 =
% 50.43/7.91 e12) & ~ (e13 = e10) & ~ (e13 = e11) & ~ (e12 = e10) & ~ (e12 = e11) &
% 50.43/7.91 ~ (e10 = e11) & $i(e14) & $i(e13) & $i(e12) & $i(e10) & $i(e11)
% 50.43/7.91
% 50.43/7.91 (ax2)
% 50.43/7.91 ~ (e24 = e23) & ~ (e24 = e22) & ~ (e24 = e20) & ~ (e24 = e21) & ~ (e23 =
% 50.43/7.92 e22) & ~ (e23 = e20) & ~ (e23 = e21) & ~ (e22 = e20) & ~ (e22 = e21) &
% 50.43/7.92 ~ (e20 = e21) & $i(e24) & $i(e23) & $i(e22) & $i(e20) & $i(e21)
% 50.43/7.92
% 50.43/7.92 (ax4)
% 50.71/7.97 op1(e14, e14) = e14 & op1(e14, e13) = e10 & op1(e14, e12) = e11 & op1(e14,
% 50.71/7.97 e10) = e13 & op1(e14, e11) = e12 & op1(e13, e14) = e11 & op1(e13, e13) = e13
% 50.71/7.97 & op1(e13, e12) = e10 & op1(e13, e10) = e12 & op1(e13, e11) = e14 & op1(e12,
% 50.71/7.97 e14) = e13 & op1(e12, e13) = e14 & op1(e12, e12) = e12 & op1(e12, e10) = e11
% 50.71/7.97 & op1(e12, e11) = e10 & op1(e10, e14) = e12 & op1(e10, e13) = e11 & op1(e10,
% 50.71/7.97 e12) = e14 & op1(e10, e10) = e10 & op1(e10, e11) = e13 & op1(e11, e14) = e10
% 50.71/7.97 & op1(e11, e13) = e12 & op1(e11, e12) = e13 & op1(e11, e10) = e14 & op1(e11,
% 50.71/7.97 e11) = e11 & $i(e14) & $i(e13) & $i(e12) & $i(e10) & $i(e11)
% 50.71/7.97
% 50.71/7.97 (ax5)
% 50.71/7.97 op2(e24, e24) = e24 & op2(e24, e23) = e21 & op2(e24, e22) = e20 & op2(e24,
% 50.71/7.97 e20) = e23 & op2(e24, e21) = e22 & op2(e23, e24) = e22 & op2(e23, e23) = e23
% 50.71/7.97 & op2(e23, e22) = e21 & op2(e23, e20) = e24 & op2(e23, e21) = e20 & op2(e22,
% 50.71/7.97 e24) = e23 & op2(e22, e23) = e20 & op2(e22, e22) = e22 & op2(e22, e20) = e21
% 50.71/7.97 & op2(e22, e21) = e24 & op2(e20, e24) = e21 & op2(e20, e23) = e22 & op2(e20,
% 50.71/7.97 e22) = e24 & op2(e20, e20) = e20 & op2(e20, e21) = e23 & op2(e21, e24) = e20
% 50.71/7.97 & op2(e21, e23) = e24 & op2(e21, e22) = e23 & op2(e21, e20) = e22 & op2(e21,
% 50.71/7.97 e21) = e21 & $i(e24) & $i(e23) & $i(e22) & $i(e20) & $i(e21)
% 50.71/7.97
% 50.71/7.97 (co1)
% 50.98/8.02 $i(e24) & $i(e23) & $i(e22) & $i(e20) & $i(e21) & $i(e14) & $i(e13) & $i(e12)
% 50.98/8.03 & $i(e10) & $i(e11) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 50.98/8.03 ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9:
% 50.98/8.03 $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 50.98/8.03 $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 50.98/8.03 $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24:
% 50.98/8.03 $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29:
% 50.98/8.03 $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34:
% 50.98/8.03 $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ? [v39:
% 50.98/8.03 $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] : ? [v44:
% 50.98/8.03 $i] : ? [v45: $i] : ? [v46: $i] : ? [v47: $i] : ? [v48: $i] : ? [v49:
% 50.98/8.03 $i] : ? [v50: $i] : ? [v51: $i] : ? [v52: $i] : ? [v53: $i] : ? [v54:
% 50.98/8.03 $i] : ? [v55: $i] : ? [v56: $i] : ? [v57: $i] : ? [v58: $i] : ? [v59:
% 50.98/8.03 $i] : ? [v60: $i] : ? [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64:
% 50.98/8.03 $i] : ? [v65: $i] : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69:
% 50.98/8.03 $i] : ? [v70: $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74:
% 50.98/8.03 $i] : ? [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79:
% 50.98/8.03 $i] : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84:
% 50.98/8.03 $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? [v89:
% 50.98/8.03 $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] : ? [v94:
% 50.98/8.03 $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: $i] : ? [v99:
% 50.98/8.03 $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] : ? [v103: $i] : ?
% 50.98/8.03 [v104: $i] : ? [v105: $i] : ? [v106: $i] : ? [v107: $i] : ? [v108: $i] :
% 50.98/8.03 ? [v109: $i] : (h(v58) = v59 & h(v56) = v57 & h(v54) = v55 & h(v52) = v53 &
% 50.98/8.03 h(v50) = v51 & h(v48) = v49 & h(v46) = v47 & h(v44) = v45 & h(v42) = v43 &
% 50.98/8.03 h(v40) = v41 & h(v38) = v39 & h(v36) = v37 & h(v34) = v35 & h(v32) = v33 &
% 50.98/8.03 h(v30) = v31 & h(v28) = v29 & h(v26) = v27 & h(v24) = v25 & h(v22) = v23 &
% 50.98/8.03 h(v20) = v21 & h(v18) = v19 & h(v16) = v17 & h(v14) = v15 & h(v12) = v13 &
% 50.98/8.03 h(v10) = v11 & h(v9) = e24 & h(v8) = e23 & h(v7) = e22 & h(v6) = e21 & h(v5)
% 50.98/8.03 = e20 & h(e14) = v4 & h(e13) = v3 & h(e12) = v2 & h(e10) = v0 & h(e11) = v1
% 50.98/8.03 & j(v108) = v109 & j(v106) = v107 & j(v104) = v105 & j(v102) = v103 &
% 50.98/8.03 j(v100) = v101 & j(v98) = v99 & j(v96) = v97 & j(v94) = v95 & j(v92) = v93 &
% 50.98/8.03 j(v90) = v91 & j(v88) = v89 & j(v86) = v87 & j(v84) = v85 & j(v82) = v83 &
% 50.98/8.03 j(v80) = v81 & j(v78) = v79 & j(v76) = v77 & j(v74) = v75 & j(v72) = v73 &
% 50.98/8.03 j(v70) = v71 & j(v68) = v69 & j(v66) = v67 & j(v64) = v65 & j(v62) = v63 &
% 50.98/8.03 j(v60) = v61 & j(v4) = e14 & j(v3) = e13 & j(v2) = e12 & j(v1) = e11 & j(v0)
% 50.98/8.03 = e10 & j(e24) = v9 & j(e23) = v8 & j(e22) = v7 & j(e20) = v5 & j(e21) = v6
% 50.98/8.03 & op2(v4, v4) = v59 & op2(v4, v3) = v57 & op2(v4, v2) = v55 & op2(v4, v1) =
% 50.98/8.03 v53 & op2(v4, v0) = v51 & op2(v3, v4) = v49 & op2(v3, v3) = v47 & op2(v3,
% 50.98/8.03 v2) = v45 & op2(v3, v1) = v43 & op2(v3, v0) = v41 & op2(v2, v4) = v39 &
% 50.98/8.03 op2(v2, v3) = v37 & op2(v2, v2) = v35 & op2(v2, v1) = v33 & op2(v2, v0) =
% 50.98/8.03 v31 & op2(v1, v4) = v29 & op2(v1, v3) = v27 & op2(v1, v2) = v25 & op2(v1,
% 50.98/8.03 v1) = v23 & op2(v1, v0) = v21 & op2(v0, v4) = v19 & op2(v0, v3) = v17 &
% 50.98/8.03 op2(v0, v2) = v15 & op2(v0, v1) = v13 & op2(v0, v0) = v11 & op2(e24, e24) =
% 50.98/8.03 v108 & op2(e24, e23) = v106 & op2(e24, e22) = v104 & op2(e24, e20) = v100 &
% 50.98/8.03 op2(e24, e21) = v102 & op2(e23, e24) = v98 & op2(e23, e23) = v96 & op2(e23,
% 50.98/8.03 e22) = v94 & op2(e23, e20) = v90 & op2(e23, e21) = v92 & op2(e22, e24) =
% 50.98/8.03 v88 & op2(e22, e23) = v86 & op2(e22, e22) = v84 & op2(e22, e20) = v80 &
% 50.98/8.03 op2(e22, e21) = v82 & op2(e20, e24) = v68 & op2(e20, e23) = v66 & op2(e20,
% 50.98/8.03 e22) = v64 & op2(e20, e20) = v60 & op2(e20, e21) = v62 & op2(e21, e24) =
% 50.98/8.03 v78 & op2(e21, e23) = v76 & op2(e21, e22) = v74 & op2(e21, e20) = v70 &
% 50.98/8.03 op2(e21, e21) = v72 & op1(v9, v9) = v109 & op1(v9, v8) = v107 & op1(v9, v7)
% 50.98/8.03 = v105 & op1(v9, v6) = v103 & op1(v9, v5) = v101 & op1(v8, v9) = v99 &
% 50.98/8.03 op1(v8, v8) = v97 & op1(v8, v7) = v95 & op1(v8, v6) = v93 & op1(v8, v5) =
% 50.98/8.03 v91 & op1(v7, v9) = v89 & op1(v7, v8) = v87 & op1(v7, v7) = v85 & op1(v7,
% 50.98/8.03 v6) = v83 & op1(v7, v5) = v81 & op1(v6, v9) = v79 & op1(v6, v8) = v77 &
% 50.98/8.03 op1(v6, v7) = v75 & op1(v6, v6) = v73 & op1(v6, v5) = v71 & op1(v5, v9) =
% 50.98/8.03 v69 & op1(v5, v8) = v67 & op1(v5, v7) = v65 & op1(v5, v6) = v63 & op1(v5,
% 50.98/8.03 v5) = v61 & op1(e14, e14) = v58 & op1(e14, e13) = v56 & op1(e14, e12) =
% 50.98/8.03 v54 & op1(e14, e10) = v50 & op1(e14, e11) = v52 & op1(e13, e14) = v48 &
% 50.98/8.03 op1(e13, e13) = v46 & op1(e13, e12) = v44 & op1(e13, e10) = v40 & op1(e13,
% 50.98/8.03 e11) = v42 & op1(e12, e14) = v38 & op1(e12, e13) = v36 & op1(e12, e12) =
% 50.98/8.03 v34 & op1(e12, e10) = v30 & op1(e12, e11) = v32 & op1(e10, e14) = v18 &
% 50.98/8.03 op1(e10, e13) = v16 & op1(e10, e12) = v14 & op1(e10, e10) = v10 & op1(e10,
% 50.98/8.03 e11) = v12 & op1(e11, e14) = v28 & op1(e11, e13) = v26 & op1(e11, e12) =
% 50.98/8.03 v24 & op1(e11, e10) = v20 & op1(e11, e11) = v22 & $i(v109) & $i(v108) &
% 50.98/8.03 $i(v107) & $i(v106) & $i(v105) & $i(v104) & $i(v103) & $i(v102) & $i(v101) &
% 50.98/8.03 $i(v100) & $i(v99) & $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) &
% 50.98/8.03 $i(v93) & $i(v92) & $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) &
% 50.98/8.03 $i(v86) & $i(v85) & $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) &
% 50.98/8.03 $i(v79) & $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) &
% 50.98/8.03 $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) &
% 50.98/8.03 $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) &
% 50.98/8.03 $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) &
% 50.98/8.03 $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) &
% 50.98/8.03 $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) &
% 50.98/8.03 $i(v37) & $i(v36) & $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) &
% 50.98/8.03 $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) &
% 50.98/8.03 $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) &
% 50.98/8.03 $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9)
% 50.98/8.03 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 50.98/8.03 $i(v0) & (v9 = e14 | v9 = e13 | v9 = e12 | v9 = e10 | v9 = e11) & (v8 = e14
% 50.98/8.03 | v8 = e13 | v8 = e12 | v8 = e10 | v8 = e11) & (v7 = e14 | v7 = e13 | v7 =
% 50.98/8.03 e12 | v7 = e10 | v7 = e11) & (v6 = e14 | v6 = e13 | v6 = e12 | v6 = e10 |
% 50.98/8.03 v6 = e11) & (v5 = e14 | v5 = e13 | v5 = e12 | v5 = e10 | v5 = e11) & (v4 =
% 50.98/8.03 e24 | v4 = e23 | v4 = e22 | v4 = e20 | v4 = e21) & (v3 = e24 | v3 = e23 |
% 50.98/8.03 v3 = e22 | v3 = e20 | v3 = e21) & (v2 = e24 | v2 = e23 | v2 = e22 | v2 =
% 50.98/8.03 e20 | v2 = e21) & (v1 = e24 | v1 = e23 | v1 = e22 | v1 = e20 | v1 = e21) &
% 50.98/8.03 (v0 = e24 | v0 = e23 | v0 = e22 | v0 = e20 | v0 = e21))
% 50.98/8.03
% 50.98/8.03 (function-axioms)
% 50.98/8.04 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op2(v3,
% 50.98/8.04 v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 50.98/8.04 $i] : ! [v3: $i] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) =
% 50.98/8.04 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) =
% 50.98/8.04 v1) | ~ (h(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 50.98/8.04 v0 | ~ (j(v2) = v1) | ~ (j(v2) = v0))
% 50.98/8.04
% 50.98/8.04 Further assumptions not needed in the proof:
% 50.98/8.04 --------------------------------------------
% 50.98/8.04 ax3
% 50.98/8.04
% 50.98/8.04 Those formulas are unsatisfiable:
% 50.98/8.04 ---------------------------------
% 50.98/8.04
% 50.98/8.04 Begin of proof
% 50.98/8.04 |
% 50.98/8.04 | ALPHA: (ax1) implies:
% 50.98/8.04 | (1) ~ (e10 = e11)
% 50.98/8.04 | (2) ~ (e12 = e11)
% 50.98/8.04 | (3) ~ (e12 = e10)
% 50.98/8.04 | (4) ~ (e13 = e11)
% 50.98/8.04 | (5) ~ (e13 = e10)
% 50.98/8.04 | (6) ~ (e13 = e12)
% 50.98/8.05 | (7) ~ (e14 = e11)
% 50.98/8.05 | (8) ~ (e14 = e10)
% 50.98/8.05 | (9) ~ (e14 = e12)
% 50.98/8.05 | (10) ~ (e14 = e13)
% 50.98/8.05 |
% 50.98/8.05 | ALPHA: (ax2) implies:
% 50.98/8.05 | (11) ~ (e22 = e21)
% 50.98/8.05 | (12) ~ (e22 = e20)
% 50.98/8.05 | (13) ~ (e23 = e21)
% 50.98/8.05 | (14) ~ (e23 = e22)
% 50.98/8.05 | (15) ~ (e24 = e23)
% 50.98/8.05 |
% 50.98/8.05 | ALPHA: (ax4) implies:
% 50.98/8.05 | (16) op1(e11, e11) = e11
% 50.98/8.05 | (17) op1(e11, e10) = e14
% 50.98/8.05 | (18) op1(e11, e12) = e13
% 50.98/8.05 | (19) op1(e11, e13) = e12
% 50.98/8.05 | (20) op1(e11, e14) = e10
% 50.98/8.05 | (21) op1(e10, e11) = e13
% 51.19/8.05 | (22) op1(e10, e10) = e10
% 51.19/8.05 | (23) op1(e10, e12) = e14
% 51.19/8.05 | (24) op1(e10, e13) = e11
% 51.19/8.05 | (25) op1(e10, e14) = e12
% 51.19/8.05 | (26) op1(e12, e11) = e10
% 51.19/8.05 | (27) op1(e12, e10) = e11
% 51.19/8.05 | (28) op1(e12, e12) = e12
% 51.19/8.05 | (29) op1(e12, e13) = e14
% 51.19/8.05 | (30) op1(e12, e14) = e13
% 51.19/8.05 | (31) op1(e13, e11) = e14
% 51.19/8.05 | (32) op1(e13, e10) = e12
% 51.19/8.05 | (33) op1(e13, e12) = e10
% 51.19/8.05 | (34) op1(e13, e13) = e13
% 51.19/8.05 | (35) op1(e13, e14) = e11
% 51.19/8.05 | (36) op1(e14, e11) = e12
% 51.19/8.06 | (37) op1(e14, e10) = e13
% 51.19/8.06 | (38) op1(e14, e12) = e11
% 51.19/8.06 | (39) op1(e14, e13) = e10
% 51.19/8.06 | (40) op1(e14, e14) = e14
% 51.19/8.06 |
% 51.19/8.06 | ALPHA: (ax5) implies:
% 51.19/8.06 | (41) op2(e21, e21) = e21
% 51.19/8.06 | (42) op2(e21, e20) = e22
% 51.19/8.06 | (43) op2(e21, e22) = e23
% 51.19/8.06 | (44) op2(e21, e23) = e24
% 51.19/8.06 | (45) op2(e21, e24) = e20
% 51.19/8.06 | (46) op2(e20, e21) = e23
% 51.19/8.06 | (47) op2(e20, e20) = e20
% 51.19/8.06 | (48) op2(e20, e22) = e24
% 51.19/8.06 | (49) op2(e20, e23) = e22
% 51.19/8.06 | (50) op2(e20, e24) = e21
% 51.19/8.06 | (51) op2(e22, e21) = e24
% 51.19/8.06 | (52) op2(e22, e20) = e21
% 51.19/8.06 | (53) op2(e22, e22) = e22
% 51.19/8.06 | (54) op2(e22, e23) = e20
% 51.19/8.06 | (55) op2(e22, e24) = e23
% 51.19/8.06 | (56) op2(e23, e21) = e20
% 51.19/8.06 | (57) op2(e23, e20) = e24
% 51.19/8.06 | (58) op2(e23, e22) = e21
% 51.19/8.06 | (59) op2(e23, e23) = e23
% 51.19/8.06 | (60) op2(e23, e24) = e22
% 51.19/8.06 | (61) op2(e24, e21) = e22
% 51.19/8.06 | (62) op2(e24, e20) = e23
% 51.19/8.06 | (63) op2(e24, e22) = e20
% 51.19/8.07 | (64) op2(e24, e23) = e21
% 51.19/8.07 | (65) op2(e24, e24) = e24
% 51.19/8.07 |
% 51.19/8.07 | ALPHA: (co1) implies:
% 51.19/8.10 | (66) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 51.19/8.10 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 51.19/8.10 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 51.19/8.10 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 51.19/8.10 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 51.19/8.10 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 51.19/8.10 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 51.19/8.10 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i]
% 51.19/8.10 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42:
% 51.19/8.10 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ?
% 51.19/8.10 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i]
% 51.19/8.10 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56:
% 51.19/8.10 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ?
% 51.19/8.10 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i]
% 51.19/8.10 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 51.19/8.10 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ?
% 51.19/8.10 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i]
% 51.19/8.10 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84:
% 51.19/8.10 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ?
% 51.19/8.10 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i]
% 51.19/8.10 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98:
% 51.19/8.10 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] :
% 51.19/8.10 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ?
% 51.19/8.10 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : (h(v58) = v59 & h(v56) =
% 51.19/8.10 | v57 & h(v54) = v55 & h(v52) = v53 & h(v50) = v51 & h(v48) = v49 &
% 51.19/8.10 | h(v46) = v47 & h(v44) = v45 & h(v42) = v43 & h(v40) = v41 & h(v38) =
% 51.19/8.10 | v39 & h(v36) = v37 & h(v34) = v35 & h(v32) = v33 & h(v30) = v31 &
% 51.19/8.10 | h(v28) = v29 & h(v26) = v27 & h(v24) = v25 & h(v22) = v23 & h(v20) =
% 51.19/8.10 | v21 & h(v18) = v19 & h(v16) = v17 & h(v14) = v15 & h(v12) = v13 &
% 51.19/8.10 | h(v10) = v11 & h(v9) = e24 & h(v8) = e23 & h(v7) = e22 & h(v6) = e21
% 51.19/8.10 | & h(v5) = e20 & h(e14) = v4 & h(e13) = v3 & h(e12) = v2 & h(e10) =
% 51.19/8.10 | v0 & h(e11) = v1 & j(v108) = v109 & j(v106) = v107 & j(v104) = v105
% 51.19/8.10 | & j(v102) = v103 & j(v100) = v101 & j(v98) = v99 & j(v96) = v97 &
% 51.19/8.10 | j(v94) = v95 & j(v92) = v93 & j(v90) = v91 & j(v88) = v89 & j(v86) =
% 51.19/8.10 | v87 & j(v84) = v85 & j(v82) = v83 & j(v80) = v81 & j(v78) = v79 &
% 51.19/8.10 | j(v76) = v77 & j(v74) = v75 & j(v72) = v73 & j(v70) = v71 & j(v68) =
% 51.19/8.10 | v69 & j(v66) = v67 & j(v64) = v65 & j(v62) = v63 & j(v60) = v61 &
% 51.19/8.10 | j(v4) = e14 & j(v3) = e13 & j(v2) = e12 & j(v1) = e11 & j(v0) = e10
% 51.19/8.10 | & j(e24) = v9 & j(e23) = v8 & j(e22) = v7 & j(e20) = v5 & j(e21) =
% 51.19/8.10 | v6 & op2(v4, v4) = v59 & op2(v4, v3) = v57 & op2(v4, v2) = v55 &
% 51.19/8.10 | op2(v4, v1) = v53 & op2(v4, v0) = v51 & op2(v3, v4) = v49 & op2(v3,
% 51.19/8.10 | v3) = v47 & op2(v3, v2) = v45 & op2(v3, v1) = v43 & op2(v3, v0) =
% 51.19/8.10 | v41 & op2(v2, v4) = v39 & op2(v2, v3) = v37 & op2(v2, v2) = v35 &
% 51.19/8.10 | op2(v2, v1) = v33 & op2(v2, v0) = v31 & op2(v1, v4) = v29 & op2(v1,
% 51.19/8.10 | v3) = v27 & op2(v1, v2) = v25 & op2(v1, v1) = v23 & op2(v1, v0) =
% 51.19/8.10 | v21 & op2(v0, v4) = v19 & op2(v0, v3) = v17 & op2(v0, v2) = v15 &
% 51.19/8.10 | op2(v0, v1) = v13 & op2(v0, v0) = v11 & op2(e24, e24) = v108 &
% 51.19/8.10 | op2(e24, e23) = v106 & op2(e24, e22) = v104 & op2(e24, e20) = v100 &
% 51.19/8.10 | op2(e24, e21) = v102 & op2(e23, e24) = v98 & op2(e23, e23) = v96 &
% 51.19/8.10 | op2(e23, e22) = v94 & op2(e23, e20) = v90 & op2(e23, e21) = v92 &
% 51.19/8.10 | op2(e22, e24) = v88 & op2(e22, e23) = v86 & op2(e22, e22) = v84 &
% 51.19/8.10 | op2(e22, e20) = v80 & op2(e22, e21) = v82 & op2(e20, e24) = v68 &
% 51.19/8.10 | op2(e20, e23) = v66 & op2(e20, e22) = v64 & op2(e20, e20) = v60 &
% 51.19/8.10 | op2(e20, e21) = v62 & op2(e21, e24) = v78 & op2(e21, e23) = v76 &
% 51.19/8.10 | op2(e21, e22) = v74 & op2(e21, e20) = v70 & op2(e21, e21) = v72 &
% 51.19/8.10 | op1(v9, v9) = v109 & op1(v9, v8) = v107 & op1(v9, v7) = v105 &
% 51.19/8.10 | op1(v9, v6) = v103 & op1(v9, v5) = v101 & op1(v8, v9) = v99 &
% 51.19/8.10 | op1(v8, v8) = v97 & op1(v8, v7) = v95 & op1(v8, v6) = v93 & op1(v8,
% 51.19/8.10 | v5) = v91 & op1(v7, v9) = v89 & op1(v7, v8) = v87 & op1(v7, v7) =
% 51.19/8.10 | v85 & op1(v7, v6) = v83 & op1(v7, v5) = v81 & op1(v6, v9) = v79 &
% 51.19/8.10 | op1(v6, v8) = v77 & op1(v6, v7) = v75 & op1(v6, v6) = v73 & op1(v6,
% 51.19/8.10 | v5) = v71 & op1(v5, v9) = v69 & op1(v5, v8) = v67 & op1(v5, v7) =
% 51.19/8.10 | v65 & op1(v5, v6) = v63 & op1(v5, v5) = v61 & op1(e14, e14) = v58 &
% 51.19/8.10 | op1(e14, e13) = v56 & op1(e14, e12) = v54 & op1(e14, e10) = v50 &
% 51.19/8.10 | op1(e14, e11) = v52 & op1(e13, e14) = v48 & op1(e13, e13) = v46 &
% 51.19/8.10 | op1(e13, e12) = v44 & op1(e13, e10) = v40 & op1(e13, e11) = v42 &
% 51.19/8.10 | op1(e12, e14) = v38 & op1(e12, e13) = v36 & op1(e12, e12) = v34 &
% 51.19/8.10 | op1(e12, e10) = v30 & op1(e12, e11) = v32 & op1(e10, e14) = v18 &
% 51.19/8.10 | op1(e10, e13) = v16 & op1(e10, e12) = v14 & op1(e10, e10) = v10 &
% 51.19/8.10 | op1(e10, e11) = v12 & op1(e11, e14) = v28 & op1(e11, e13) = v26 &
% 51.19/8.10 | op1(e11, e12) = v24 & op1(e11, e10) = v20 & op1(e11, e11) = v22 &
% 51.19/8.10 | $i(v109) & $i(v108) & $i(v107) & $i(v106) & $i(v105) & $i(v104) &
% 51.19/8.10 | $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) & $i(v98) &
% 51.19/8.10 | $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) & $i(v91)
% 51.19/8.10 | & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & $i(v85) &
% 51.19/8.10 | $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78)
% 51.19/8.10 | & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & $i(v72) &
% 51.19/8.10 | $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65)
% 51.19/8.10 | & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) &
% 51.19/8.10 | $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52)
% 51.19/8.10 | & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46) &
% 51.19/8.10 | $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39)
% 51.19/8.10 | & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) & $i(v33) &
% 51.19/8.10 | $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26)
% 51.19/8.10 | & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 51.19/8.10 | $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13)
% 51.19/8.10 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 51.19/8.10 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v9 = e14 | v9
% 51.19/8.10 | = e13 | v9 = e12 | v9 = e10 | v9 = e11) & (v8 = e14 | v8 = e13 |
% 51.19/8.10 | v8 = e12 | v8 = e10 | v8 = e11) & (v7 = e14 | v7 = e13 | v7 = e12
% 51.19/8.10 | | v7 = e10 | v7 = e11) & (v6 = e14 | v6 = e13 | v6 = e12 | v6 =
% 51.19/8.10 | e10 | v6 = e11) & (v5 = e14 | v5 = e13 | v5 = e12 | v5 = e10 | v5
% 51.19/8.10 | = e11) & (v4 = e24 | v4 = e23 | v4 = e22 | v4 = e20 | v4 = e21) &
% 51.19/8.10 | (v3 = e24 | v3 = e23 | v3 = e22 | v3 = e20 | v3 = e21) & (v2 = e24 |
% 51.19/8.10 | v2 = e23 | v2 = e22 | v2 = e20 | v2 = e21) & (v1 = e24 | v1 = e23
% 51.19/8.10 | | v1 = e22 | v1 = e20 | v1 = e21) & (v0 = e24 | v0 = e23 | v0 =
% 51.19/8.10 | e22 | v0 = e20 | v0 = e21))
% 51.19/8.10 |
% 51.19/8.10 | ALPHA: (function-axioms) implies:
% 51.19/8.11 | (67) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = v1) |
% 51.19/8.11 | ~ (j(v2) = v0))
% 51.19/8.11 | (68) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) = v1) |
% 51.19/8.11 | ~ (h(v2) = v0))
% 51.19/8.11 | (69) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 51.19/8.11 | (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 51.19/8.11 | (70) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 51.19/8.11 | (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 51.19/8.11 |
% 51.19/8.11 | DELTA: instantiating (66) with fresh symbols all_4_0, all_4_1, all_4_2,
% 51.19/8.11 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9,
% 51.19/8.11 | all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16,
% 51.19/8.11 | all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23,
% 51.19/8.11 | all_4_24, all_4_25, all_4_26, all_4_27, all_4_28, all_4_29, all_4_30,
% 51.19/8.11 | all_4_31, all_4_32, all_4_33, all_4_34, all_4_35, all_4_36, all_4_37,
% 51.19/8.11 | all_4_38, all_4_39, all_4_40, all_4_41, all_4_42, all_4_43, all_4_44,
% 51.19/8.11 | all_4_45, all_4_46, all_4_47, all_4_48, all_4_49, all_4_50, all_4_51,
% 51.19/8.11 | all_4_52, all_4_53, all_4_54, all_4_55, all_4_56, all_4_57, all_4_58,
% 51.19/8.11 | all_4_59, all_4_60, all_4_61, all_4_62, all_4_63, all_4_64, all_4_65,
% 51.19/8.11 | all_4_66, all_4_67, all_4_68, all_4_69, all_4_70, all_4_71, all_4_72,
% 51.19/8.11 | all_4_73, all_4_74, all_4_75, all_4_76, all_4_77, all_4_78, all_4_79,
% 51.19/8.11 | all_4_80, all_4_81, all_4_82, all_4_83, all_4_84, all_4_85, all_4_86,
% 51.19/8.11 | all_4_87, all_4_88, all_4_89, all_4_90, all_4_91, all_4_92, all_4_93,
% 51.19/8.11 | all_4_94, all_4_95, all_4_96, all_4_97, all_4_98, all_4_99, all_4_100,
% 51.19/8.11 | all_4_101, all_4_102, all_4_103, all_4_104, all_4_105, all_4_106,
% 51.19/8.11 | all_4_107, all_4_108, all_4_109 gives:
% 51.19/8.13 | (71) h(all_4_51) = all_4_50 & h(all_4_53) = all_4_52 & h(all_4_55) =
% 51.19/8.13 | all_4_54 & h(all_4_57) = all_4_56 & h(all_4_59) = all_4_58 &
% 51.19/8.13 | h(all_4_61) = all_4_60 & h(all_4_63) = all_4_62 & h(all_4_65) =
% 51.19/8.13 | all_4_64 & h(all_4_67) = all_4_66 & h(all_4_69) = all_4_68 &
% 51.19/8.13 | h(all_4_71) = all_4_70 & h(all_4_73) = all_4_72 & h(all_4_75) =
% 51.19/8.13 | all_4_74 & h(all_4_77) = all_4_76 & h(all_4_79) = all_4_78 &
% 51.19/8.13 | h(all_4_81) = all_4_80 & h(all_4_83) = all_4_82 & h(all_4_85) =
% 51.19/8.13 | all_4_84 & h(all_4_87) = all_4_86 & h(all_4_89) = all_4_88 &
% 51.19/8.13 | h(all_4_91) = all_4_90 & h(all_4_93) = all_4_92 & h(all_4_95) =
% 51.19/8.13 | all_4_94 & h(all_4_97) = all_4_96 & h(all_4_99) = all_4_98 &
% 51.19/8.13 | h(all_4_100) = e24 & h(all_4_101) = e23 & h(all_4_102) = e22 &
% 51.19/8.13 | h(all_4_103) = e21 & h(all_4_104) = e20 & h(e14) = all_4_105 & h(e13)
% 51.19/8.13 | = all_4_106 & h(e12) = all_4_107 & h(e10) = all_4_109 & h(e11) =
% 51.19/8.13 | all_4_108 & j(all_4_1) = all_4_0 & j(all_4_3) = all_4_2 & j(all_4_5) =
% 51.19/8.13 | all_4_4 & j(all_4_7) = all_4_6 & j(all_4_9) = all_4_8 & j(all_4_11) =
% 51.19/8.13 | all_4_10 & j(all_4_13) = all_4_12 & j(all_4_15) = all_4_14 &
% 51.19/8.13 | j(all_4_17) = all_4_16 & j(all_4_19) = all_4_18 & j(all_4_21) =
% 51.19/8.13 | all_4_20 & j(all_4_23) = all_4_22 & j(all_4_25) = all_4_24 &
% 51.19/8.13 | j(all_4_27) = all_4_26 & j(all_4_29) = all_4_28 & j(all_4_31) =
% 51.19/8.13 | all_4_30 & j(all_4_33) = all_4_32 & j(all_4_35) = all_4_34 &
% 51.19/8.13 | j(all_4_37) = all_4_36 & j(all_4_39) = all_4_38 & j(all_4_41) =
% 51.19/8.13 | all_4_40 & j(all_4_43) = all_4_42 & j(all_4_45) = all_4_44 &
% 51.19/8.13 | j(all_4_47) = all_4_46 & j(all_4_49) = all_4_48 & j(all_4_105) = e14 &
% 51.19/8.13 | j(all_4_106) = e13 & j(all_4_107) = e12 & j(all_4_108) = e11 &
% 51.19/8.13 | j(all_4_109) = e10 & j(e24) = all_4_100 & j(e23) = all_4_101 & j(e22)
% 51.19/8.13 | = all_4_102 & j(e20) = all_4_104 & j(e21) = all_4_103 & op2(all_4_105,
% 51.19/8.13 | all_4_105) = all_4_50 & op2(all_4_105, all_4_106) = all_4_52 &
% 51.19/8.13 | op2(all_4_105, all_4_107) = all_4_54 & op2(all_4_105, all_4_108) =
% 51.19/8.13 | all_4_56 & op2(all_4_105, all_4_109) = all_4_58 & op2(all_4_106,
% 51.19/8.13 | all_4_105) = all_4_60 & op2(all_4_106, all_4_106) = all_4_62 &
% 51.19/8.13 | op2(all_4_106, all_4_107) = all_4_64 & op2(all_4_106, all_4_108) =
% 51.19/8.13 | all_4_66 & op2(all_4_106, all_4_109) = all_4_68 & op2(all_4_107,
% 51.19/8.13 | all_4_105) = all_4_70 & op2(all_4_107, all_4_106) = all_4_72 &
% 51.19/8.13 | op2(all_4_107, all_4_107) = all_4_74 & op2(all_4_107, all_4_108) =
% 51.19/8.13 | all_4_76 & op2(all_4_107, all_4_109) = all_4_78 & op2(all_4_108,
% 51.19/8.13 | all_4_105) = all_4_80 & op2(all_4_108, all_4_106) = all_4_82 &
% 51.19/8.13 | op2(all_4_108, all_4_107) = all_4_84 & op2(all_4_108, all_4_108) =
% 51.19/8.13 | all_4_86 & op2(all_4_108, all_4_109) = all_4_88 & op2(all_4_109,
% 51.19/8.13 | all_4_105) = all_4_90 & op2(all_4_109, all_4_106) = all_4_92 &
% 51.19/8.13 | op2(all_4_109, all_4_107) = all_4_94 & op2(all_4_109, all_4_108) =
% 51.19/8.13 | all_4_96 & op2(all_4_109, all_4_109) = all_4_98 & op2(e24, e24) =
% 51.19/8.13 | all_4_1 & op2(e24, e23) = all_4_3 & op2(e24, e22) = all_4_5 & op2(e24,
% 51.19/8.13 | e20) = all_4_9 & op2(e24, e21) = all_4_7 & op2(e23, e24) = all_4_11
% 51.19/8.13 | & op2(e23, e23) = all_4_13 & op2(e23, e22) = all_4_15 & op2(e23, e20)
% 51.19/8.13 | = all_4_19 & op2(e23, e21) = all_4_17 & op2(e22, e24) = all_4_21 &
% 51.19/8.13 | op2(e22, e23) = all_4_23 & op2(e22, e22) = all_4_25 & op2(e22, e20) =
% 51.19/8.13 | all_4_29 & op2(e22, e21) = all_4_27 & op2(e20, e24) = all_4_41 &
% 51.19/8.13 | op2(e20, e23) = all_4_43 & op2(e20, e22) = all_4_45 & op2(e20, e20) =
% 51.19/8.13 | all_4_49 & op2(e20, e21) = all_4_47 & op2(e21, e24) = all_4_31 &
% 51.19/8.13 | op2(e21, e23) = all_4_33 & op2(e21, e22) = all_4_35 & op2(e21, e20) =
% 51.19/8.13 | all_4_39 & op2(e21, e21) = all_4_37 & op1(all_4_100, all_4_100) =
% 51.19/8.13 | all_4_0 & op1(all_4_100, all_4_101) = all_4_2 & op1(all_4_100,
% 51.19/8.13 | all_4_102) = all_4_4 & op1(all_4_100, all_4_103) = all_4_6 &
% 51.19/8.13 | op1(all_4_100, all_4_104) = all_4_8 & op1(all_4_101, all_4_100) =
% 51.19/8.13 | all_4_10 & op1(all_4_101, all_4_101) = all_4_12 & op1(all_4_101,
% 51.19/8.13 | all_4_102) = all_4_14 & op1(all_4_101, all_4_103) = all_4_16 &
% 51.19/8.13 | op1(all_4_101, all_4_104) = all_4_18 & op1(all_4_102, all_4_100) =
% 51.19/8.13 | all_4_20 & op1(all_4_102, all_4_101) = all_4_22 & op1(all_4_102,
% 51.19/8.13 | all_4_102) = all_4_24 & op1(all_4_102, all_4_103) = all_4_26 &
% 51.19/8.13 | op1(all_4_102, all_4_104) = all_4_28 & op1(all_4_103, all_4_100) =
% 51.19/8.13 | all_4_30 & op1(all_4_103, all_4_101) = all_4_32 & op1(all_4_103,
% 51.19/8.13 | all_4_102) = all_4_34 & op1(all_4_103, all_4_103) = all_4_36 &
% 51.19/8.13 | op1(all_4_103, all_4_104) = all_4_38 & op1(all_4_104, all_4_100) =
% 51.19/8.13 | all_4_40 & op1(all_4_104, all_4_101) = all_4_42 & op1(all_4_104,
% 51.19/8.13 | all_4_102) = all_4_44 & op1(all_4_104, all_4_103) = all_4_46 &
% 51.19/8.13 | op1(all_4_104, all_4_104) = all_4_48 & op1(e14, e14) = all_4_51 &
% 51.19/8.13 | op1(e14, e13) = all_4_53 & op1(e14, e12) = all_4_55 & op1(e14, e10) =
% 51.19/8.13 | all_4_59 & op1(e14, e11) = all_4_57 & op1(e13, e14) = all_4_61 &
% 51.19/8.13 | op1(e13, e13) = all_4_63 & op1(e13, e12) = all_4_65 & op1(e13, e10) =
% 51.19/8.13 | all_4_69 & op1(e13, e11) = all_4_67 & op1(e12, e14) = all_4_71 &
% 51.19/8.13 | op1(e12, e13) = all_4_73 & op1(e12, e12) = all_4_75 & op1(e12, e10) =
% 51.19/8.13 | all_4_79 & op1(e12, e11) = all_4_77 & op1(e10, e14) = all_4_91 &
% 51.19/8.13 | op1(e10, e13) = all_4_93 & op1(e10, e12) = all_4_95 & op1(e10, e10) =
% 51.19/8.13 | all_4_99 & op1(e10, e11) = all_4_97 & op1(e11, e14) = all_4_81 &
% 51.19/8.13 | op1(e11, e13) = all_4_83 & op1(e11, e12) = all_4_85 & op1(e11, e10) =
% 51.19/8.13 | all_4_89 & op1(e11, e11) = all_4_87 & $i(all_4_0) & $i(all_4_1) &
% 51.19/8.13 | $i(all_4_2) & $i(all_4_3) & $i(all_4_4) & $i(all_4_5) & $i(all_4_6) &
% 51.19/8.13 | $i(all_4_7) & $i(all_4_8) & $i(all_4_9) & $i(all_4_10) & $i(all_4_11)
% 51.19/8.13 | & $i(all_4_12) & $i(all_4_13) & $i(all_4_14) & $i(all_4_15) &
% 51.19/8.13 | $i(all_4_16) & $i(all_4_17) & $i(all_4_18) & $i(all_4_19) &
% 51.19/8.13 | $i(all_4_20) & $i(all_4_21) & $i(all_4_22) & $i(all_4_23) &
% 51.19/8.13 | $i(all_4_24) & $i(all_4_25) & $i(all_4_26) & $i(all_4_27) &
% 51.19/8.13 | $i(all_4_28) & $i(all_4_29) & $i(all_4_30) & $i(all_4_31) &
% 51.19/8.13 | $i(all_4_32) & $i(all_4_33) & $i(all_4_34) & $i(all_4_35) &
% 51.19/8.13 | $i(all_4_36) & $i(all_4_37) & $i(all_4_38) & $i(all_4_39) &
% 51.19/8.13 | $i(all_4_40) & $i(all_4_41) & $i(all_4_42) & $i(all_4_43) &
% 51.19/8.13 | $i(all_4_44) & $i(all_4_45) & $i(all_4_46) & $i(all_4_47) &
% 51.19/8.13 | $i(all_4_48) & $i(all_4_49) & $i(all_4_50) & $i(all_4_51) &
% 51.19/8.13 | $i(all_4_52) & $i(all_4_53) & $i(all_4_54) & $i(all_4_55) &
% 51.19/8.13 | $i(all_4_56) & $i(all_4_57) & $i(all_4_58) & $i(all_4_59) &
% 51.19/8.13 | $i(all_4_60) & $i(all_4_61) & $i(all_4_62) & $i(all_4_63) &
% 51.19/8.13 | $i(all_4_64) & $i(all_4_65) & $i(all_4_66) & $i(all_4_67) &
% 51.19/8.13 | $i(all_4_68) & $i(all_4_69) & $i(all_4_70) & $i(all_4_71) &
% 51.19/8.13 | $i(all_4_72) & $i(all_4_73) & $i(all_4_74) & $i(all_4_75) &
% 51.19/8.13 | $i(all_4_76) & $i(all_4_77) & $i(all_4_78) & $i(all_4_79) &
% 51.19/8.13 | $i(all_4_80) & $i(all_4_81) & $i(all_4_82) & $i(all_4_83) &
% 51.19/8.13 | $i(all_4_84) & $i(all_4_85) & $i(all_4_86) & $i(all_4_87) &
% 51.19/8.13 | $i(all_4_88) & $i(all_4_89) & $i(all_4_90) & $i(all_4_91) &
% 51.19/8.13 | $i(all_4_92) & $i(all_4_93) & $i(all_4_94) & $i(all_4_95) &
% 51.19/8.13 | $i(all_4_96) & $i(all_4_97) & $i(all_4_98) & $i(all_4_99) &
% 51.19/8.13 | $i(all_4_100) & $i(all_4_101) & $i(all_4_102) & $i(all_4_103) &
% 51.19/8.13 | $i(all_4_104) & $i(all_4_105) & $i(all_4_106) & $i(all_4_107) &
% 51.19/8.13 | $i(all_4_108) & $i(all_4_109) & (all_4_100 = e14 | all_4_100 = e13 |
% 51.19/8.13 | all_4_100 = e12 | all_4_100 = e10 | all_4_100 = e11) & (all_4_101 =
% 51.19/8.13 | e14 | all_4_101 = e13 | all_4_101 = e12 | all_4_101 = e10 |
% 51.19/8.13 | all_4_101 = e11) & (all_4_102 = e14 | all_4_102 = e13 | all_4_102 =
% 51.19/8.13 | e12 | all_4_102 = e10 | all_4_102 = e11) & (all_4_103 = e14 |
% 51.19/8.13 | all_4_103 = e13 | all_4_103 = e12 | all_4_103 = e10 | all_4_103 =
% 51.19/8.13 | e11) & (all_4_104 = e14 | all_4_104 = e13 | all_4_104 = e12 |
% 51.19/8.13 | all_4_104 = e10 | all_4_104 = e11) & (all_4_105 = e24 | all_4_105 =
% 51.19/8.13 | e23 | all_4_105 = e22 | all_4_105 = e20 | all_4_105 = e21) &
% 51.19/8.13 | (all_4_106 = e24 | all_4_106 = e23 | all_4_106 = e22 | all_4_106 = e20
% 51.19/8.13 | | all_4_106 = e21) & (all_4_107 = e24 | all_4_107 = e23 | all_4_107
% 51.19/8.13 | = e22 | all_4_107 = e20 | all_4_107 = e21) & (all_4_108 = e24 |
% 51.19/8.13 | all_4_108 = e23 | all_4_108 = e22 | all_4_108 = e20 | all_4_108 =
% 51.19/8.13 | e21) & (all_4_109 = e24 | all_4_109 = e23 | all_4_109 = e22 |
% 51.19/8.13 | all_4_109 = e20 | all_4_109 = e21)
% 51.19/8.13 |
% 51.19/8.13 | ALPHA: (71) implies:
% 51.19/8.14 | (72) op1(e11, e11) = all_4_87
% 51.61/8.14 | (73) op1(e11, e10) = all_4_89
% 51.61/8.14 | (74) op1(e11, e12) = all_4_85
% 51.61/8.14 | (75) op1(e11, e13) = all_4_83
% 51.61/8.14 | (76) op1(e11, e14) = all_4_81
% 51.61/8.14 | (77) op1(e10, e11) = all_4_97
% 51.61/8.14 | (78) op1(e10, e10) = all_4_99
% 51.61/8.14 | (79) op1(e10, e12) = all_4_95
% 51.61/8.14 | (80) op1(e10, e13) = all_4_93
% 51.61/8.14 | (81) op1(e10, e14) = all_4_91
% 51.61/8.14 | (82) op1(e12, e11) = all_4_77
% 51.61/8.14 | (83) op1(e12, e10) = all_4_79
% 51.61/8.14 | (84) op1(e12, e12) = all_4_75
% 51.61/8.14 | (85) op1(e12, e13) = all_4_73
% 51.61/8.14 | (86) op1(e12, e14) = all_4_71
% 51.61/8.14 | (87) op1(e13, e11) = all_4_67
% 51.61/8.14 | (88) op1(e13, e10) = all_4_69
% 51.61/8.14 | (89) op1(e13, e12) = all_4_65
% 51.61/8.14 | (90) op1(e13, e13) = all_4_63
% 51.61/8.14 | (91) op1(e13, e14) = all_4_61
% 51.61/8.14 | (92) op1(e14, e11) = all_4_57
% 51.61/8.14 | (93) op1(e14, e10) = all_4_59
% 51.61/8.14 | (94) op1(e14, e12) = all_4_55
% 51.61/8.14 | (95) op1(e14, e13) = all_4_53
% 51.61/8.14 | (96) op1(e14, e14) = all_4_51
% 51.61/8.14 | (97) op1(all_4_104, all_4_103) = all_4_46
% 51.61/8.14 | (98) op1(all_4_104, all_4_102) = all_4_44
% 51.61/8.14 | (99) op1(all_4_104, all_4_100) = all_4_40
% 51.61/8.14 | (100) op1(all_4_103, all_4_104) = all_4_38
% 51.61/8.14 | (101) op1(all_4_103, all_4_102) = all_4_34
% 51.61/8.14 | (102) op1(all_4_103, all_4_101) = all_4_32
% 51.61/8.14 | (103) op1(all_4_103, all_4_100) = all_4_30
% 51.61/8.14 | (104) op1(all_4_102, all_4_104) = all_4_28
% 51.61/8.14 | (105) op1(all_4_102, all_4_103) = all_4_26
% 51.61/8.15 | (106) op1(all_4_102, all_4_101) = all_4_22
% 51.61/8.15 | (107) op1(all_4_102, all_4_100) = all_4_20
% 51.61/8.15 | (108) op1(all_4_101, all_4_104) = all_4_18
% 51.61/8.15 | (109) op1(all_4_101, all_4_102) = all_4_14
% 51.61/8.15 | (110) op1(all_4_101, all_4_100) = all_4_10
% 51.61/8.15 | (111) op1(all_4_100, all_4_104) = all_4_8
% 51.61/8.15 | (112) op1(all_4_100, all_4_103) = all_4_6
% 51.61/8.15 | (113) op1(all_4_100, all_4_102) = all_4_4
% 51.61/8.15 | (114) op1(all_4_100, all_4_101) = all_4_2
% 51.61/8.15 | (115) op2(e21, e21) = all_4_37
% 51.61/8.15 | (116) op2(e21, e20) = all_4_39
% 51.61/8.15 | (117) op2(e21, e22) = all_4_35
% 51.61/8.15 | (118) op2(e21, e23) = all_4_33
% 51.61/8.15 | (119) op2(e21, e24) = all_4_31
% 51.61/8.15 | (120) op2(e20, e21) = all_4_47
% 51.61/8.15 | (121) op2(e20, e20) = all_4_49
% 51.61/8.15 | (122) op2(e20, e22) = all_4_45
% 51.61/8.15 | (123) op2(e20, e23) = all_4_43
% 51.61/8.15 | (124) op2(e20, e24) = all_4_41
% 51.61/8.15 | (125) op2(e22, e21) = all_4_27
% 51.61/8.15 | (126) op2(e22, e20) = all_4_29
% 51.61/8.15 | (127) op2(e22, e22) = all_4_25
% 51.61/8.15 | (128) op2(e22, e23) = all_4_23
% 51.61/8.15 | (129) op2(e22, e24) = all_4_21
% 51.61/8.15 | (130) op2(e23, e21) = all_4_17
% 51.61/8.15 | (131) op2(e23, e20) = all_4_19
% 51.61/8.15 | (132) op2(e23, e22) = all_4_15
% 51.61/8.15 | (133) op2(e23, e23) = all_4_13
% 51.61/8.15 | (134) op2(e23, e24) = all_4_11
% 51.61/8.15 | (135) op2(e24, e21) = all_4_7
% 51.61/8.15 | (136) op2(e24, e20) = all_4_9
% 51.61/8.15 | (137) op2(e24, e22) = all_4_5
% 51.61/8.15 | (138) op2(e24, e23) = all_4_3
% 51.61/8.15 | (139) op2(e24, e24) = all_4_1
% 51.61/8.15 | (140) op2(all_4_109, all_4_108) = all_4_96
% 51.61/8.15 | (141) op2(all_4_109, all_4_107) = all_4_94
% 51.61/8.15 | (142) op2(all_4_109, all_4_106) = all_4_92
% 51.61/8.15 | (143) op2(all_4_109, all_4_105) = all_4_90
% 51.61/8.15 | (144) op2(all_4_108, all_4_109) = all_4_88
% 51.61/8.15 | (145) op2(all_4_108, all_4_107) = all_4_84
% 51.61/8.15 | (146) op2(all_4_108, all_4_106) = all_4_82
% 51.61/8.15 | (147) op2(all_4_108, all_4_105) = all_4_80
% 51.61/8.15 | (148) op2(all_4_107, all_4_109) = all_4_78
% 51.61/8.15 | (149) op2(all_4_107, all_4_108) = all_4_76
% 51.61/8.15 | (150) op2(all_4_107, all_4_106) = all_4_72
% 51.61/8.15 | (151) op2(all_4_107, all_4_105) = all_4_70
% 51.61/8.15 | (152) op2(all_4_106, all_4_109) = all_4_68
% 51.61/8.15 | (153) op2(all_4_106, all_4_108) = all_4_66
% 51.61/8.15 | (154) op2(all_4_106, all_4_107) = all_4_64
% 51.61/8.15 | (155) op2(all_4_106, all_4_105) = all_4_60
% 51.61/8.15 | (156) op2(all_4_105, all_4_109) = all_4_58
% 51.61/8.15 | (157) op2(all_4_105, all_4_108) = all_4_56
% 51.61/8.15 | (158) op2(all_4_105, all_4_107) = all_4_54
% 51.61/8.15 | (159) op2(all_4_105, all_4_106) = all_4_52
% 51.61/8.15 | (160) j(e21) = all_4_103
% 51.61/8.15 | (161) j(e20) = all_4_104
% 51.61/8.15 | (162) j(e22) = all_4_102
% 51.61/8.16 | (163) j(e23) = all_4_101
% 51.61/8.16 | (164) j(e24) = all_4_100
% 51.61/8.16 | (165) j(all_4_109) = e10
% 51.61/8.16 | (166) j(all_4_108) = e11
% 51.61/8.16 | (167) j(all_4_107) = e12
% 51.61/8.16 | (168) j(all_4_106) = e13
% 51.61/8.16 | (169) j(all_4_105) = e14
% 51.61/8.16 | (170) j(all_4_49) = all_4_48
% 51.61/8.16 | (171) j(all_4_47) = all_4_46
% 51.61/8.16 | (172) j(all_4_45) = all_4_44
% 51.61/8.16 | (173) j(all_4_43) = all_4_42
% 51.61/8.16 | (174) j(all_4_41) = all_4_40
% 51.61/8.16 | (175) j(all_4_39) = all_4_38
% 51.61/8.16 | (176) j(all_4_37) = all_4_36
% 51.61/8.16 | (177) j(all_4_35) = all_4_34
% 51.61/8.16 | (178) j(all_4_33) = all_4_32
% 51.61/8.16 | (179) j(all_4_31) = all_4_30
% 51.61/8.16 | (180) j(all_4_29) = all_4_28
% 51.61/8.16 | (181) j(all_4_27) = all_4_26
% 51.61/8.16 | (182) j(all_4_25) = all_4_24
% 51.61/8.16 | (183) j(all_4_23) = all_4_22
% 51.61/8.16 | (184) j(all_4_21) = all_4_20
% 51.61/8.16 | (185) j(all_4_19) = all_4_18
% 51.61/8.16 | (186) j(all_4_17) = all_4_16
% 51.61/8.16 | (187) j(all_4_15) = all_4_14
% 51.61/8.16 | (188) j(all_4_13) = all_4_12
% 51.61/8.16 | (189) j(all_4_11) = all_4_10
% 51.61/8.16 | (190) j(all_4_9) = all_4_8
% 51.61/8.16 | (191) j(all_4_7) = all_4_6
% 51.61/8.16 | (192) j(all_4_5) = all_4_4
% 51.61/8.16 | (193) j(all_4_3) = all_4_2
% 51.61/8.16 | (194) j(all_4_1) = all_4_0
% 51.61/8.16 | (195) h(e11) = all_4_108
% 51.61/8.16 | (196) h(e10) = all_4_109
% 51.61/8.16 | (197) h(e12) = all_4_107
% 51.61/8.16 | (198) h(e13) = all_4_106
% 51.61/8.16 | (199) h(e14) = all_4_105
% 51.61/8.16 | (200) h(all_4_104) = e20
% 51.61/8.16 | (201) h(all_4_103) = e21
% 51.61/8.16 | (202) h(all_4_102) = e22
% 51.61/8.16 | (203) h(all_4_101) = e23
% 51.61/8.16 | (204) h(all_4_100) = e24
% 51.61/8.16 | (205) h(all_4_99) = all_4_98
% 51.61/8.16 | (206) h(all_4_97) = all_4_96
% 51.61/8.16 | (207) h(all_4_95) = all_4_94
% 51.61/8.16 | (208) h(all_4_93) = all_4_92
% 51.61/8.16 | (209) h(all_4_91) = all_4_90
% 51.61/8.16 | (210) h(all_4_89) = all_4_88
% 51.61/8.16 | (211) h(all_4_87) = all_4_86
% 51.61/8.16 | (212) h(all_4_85) = all_4_84
% 51.61/8.16 | (213) h(all_4_83) = all_4_82
% 51.61/8.16 | (214) h(all_4_81) = all_4_80
% 51.61/8.16 | (215) h(all_4_79) = all_4_78
% 51.61/8.16 | (216) h(all_4_77) = all_4_76
% 51.61/8.16 | (217) h(all_4_75) = all_4_74
% 51.61/8.16 | (218) h(all_4_73) = all_4_72
% 51.61/8.16 | (219) h(all_4_71) = all_4_70
% 51.61/8.16 | (220) h(all_4_69) = all_4_68
% 51.61/8.16 | (221) h(all_4_67) = all_4_66
% 51.61/8.16 | (222) h(all_4_65) = all_4_64
% 51.61/8.16 | (223) h(all_4_63) = all_4_62
% 51.61/8.17 | (224) h(all_4_61) = all_4_60
% 51.61/8.17 | (225) h(all_4_59) = all_4_58
% 51.61/8.17 | (226) h(all_4_57) = all_4_56
% 51.61/8.17 | (227) h(all_4_55) = all_4_54
% 51.61/8.17 | (228) h(all_4_53) = all_4_52
% 51.61/8.17 | (229) h(all_4_51) = all_4_50
% 51.61/8.17 | (230) all_4_109 = e24 | all_4_109 = e23 | all_4_109 = e22 | all_4_109 = e20
% 51.61/8.17 | | all_4_109 = e21
% 51.61/8.17 | (231) all_4_108 = e24 | all_4_108 = e23 | all_4_108 = e22 | all_4_108 = e20
% 51.61/8.17 | | all_4_108 = e21
% 51.61/8.17 | (232) all_4_107 = e24 | all_4_107 = e23 | all_4_107 = e22 | all_4_107 = e20
% 51.61/8.17 | | all_4_107 = e21
% 51.61/8.17 | (233) all_4_106 = e24 | all_4_106 = e23 | all_4_106 = e22 | all_4_106 = e20
% 51.61/8.17 | | all_4_106 = e21
% 51.61/8.17 | (234) all_4_105 = e24 | all_4_105 = e23 | all_4_105 = e22 | all_4_105 = e20
% 51.61/8.17 | | all_4_105 = e21
% 51.61/8.17 | (235) all_4_104 = e14 | all_4_104 = e13 | all_4_104 = e12 | all_4_104 = e10
% 51.61/8.17 | | all_4_104 = e11
% 51.61/8.17 | (236) all_4_103 = e14 | all_4_103 = e13 | all_4_103 = e12 | all_4_103 = e10
% 51.61/8.17 | | all_4_103 = e11
% 51.61/8.17 | (237) all_4_102 = e14 | all_4_102 = e13 | all_4_102 = e12 | all_4_102 = e10
% 51.61/8.17 | | all_4_102 = e11
% 51.61/8.17 | (238) all_4_101 = e14 | all_4_101 = e13 | all_4_101 = e12 | all_4_101 = e10
% 51.61/8.17 | | all_4_101 = e11
% 51.61/8.17 | (239) all_4_100 = e14 | all_4_100 = e13 | all_4_100 = e12 | all_4_100 = e10
% 51.61/8.17 | | all_4_100 = e11
% 51.61/8.17 |
% 51.61/8.17 | GROUND_INST: instantiating (69) with e11, all_4_87, e11, e11, simplifying with
% 51.61/8.17 | (16), (72) gives:
% 51.61/8.17 | (240) all_4_87 = e11
% 51.61/8.17 |
% 51.61/8.17 | GROUND_INST: instantiating (69) with e14, all_4_89, e10, e11, simplifying with
% 51.61/8.17 | (17), (73) gives:
% 51.61/8.17 | (241) all_4_89 = e14
% 51.61/8.17 |
% 51.61/8.17 | GROUND_INST: instantiating (69) with e13, all_4_85, e12, e11, simplifying with
% 51.61/8.17 | (18), (74) gives:
% 51.61/8.17 | (242) all_4_85 = e13
% 51.61/8.17 |
% 51.61/8.17 | GROUND_INST: instantiating (69) with e12, all_4_83, e13, e11, simplifying with
% 51.61/8.17 | (19), (75) gives:
% 51.61/8.17 | (243) all_4_83 = e12
% 51.61/8.17 |
% 51.61/8.17 | GROUND_INST: instantiating (69) with e10, all_4_81, e14, e11, simplifying with
% 51.61/8.17 | (20), (76) gives:
% 51.61/8.17 | (244) all_4_81 = e10
% 51.61/8.17 |
% 51.61/8.17 | GROUND_INST: instantiating (69) with e13, all_4_97, e11, e10, simplifying with
% 51.61/8.17 | (21), (77) gives:
% 51.61/8.17 | (245) all_4_97 = e13
% 51.61/8.17 |
% 51.61/8.17 | GROUND_INST: instantiating (69) with e10, all_4_99, e10, e10, simplifying with
% 51.61/8.17 | (22), (78) gives:
% 51.61/8.17 | (246) all_4_99 = e10
% 51.61/8.18 |
% 51.61/8.18 | GROUND_INST: instantiating (69) with e14, all_4_95, e12, e10, simplifying with
% 51.61/8.18 | (23), (79) gives:
% 51.61/8.18 | (247) all_4_95 = e14
% 51.61/8.18 |
% 51.61/8.18 | GROUND_INST: instantiating (69) with e11, all_4_93, e13, e10, simplifying with
% 51.61/8.18 | (24), (80) gives:
% 51.61/8.18 | (248) all_4_93 = e11
% 51.61/8.18 |
% 51.61/8.18 | GROUND_INST: instantiating (69) with e12, all_4_91, e14, e10, simplifying with
% 51.61/8.18 | (25), (81) gives:
% 51.61/8.18 | (249) all_4_91 = e12
% 51.61/8.18 |
% 51.61/8.18 | GROUND_INST: instantiating (69) with e10, all_4_77, e11, e12, simplifying with
% 51.61/8.18 | (26), (82) gives:
% 51.61/8.18 | (250) all_4_77 = e10
% 51.61/8.18 |
% 51.61/8.18 | GROUND_INST: instantiating (69) with e11, all_4_79, e10, e12, simplifying with
% 51.61/8.18 | (27), (83) gives:
% 51.61/8.18 | (251) all_4_79 = e11
% 51.61/8.18 |
% 51.61/8.18 | GROUND_INST: instantiating (69) with e12, all_4_75, e12, e12, simplifying with
% 51.61/8.18 | (28), (84) gives:
% 51.61/8.18 | (252) all_4_75 = e12
% 51.61/8.18 |
% 51.61/8.18 | GROUND_INST: instantiating (69) with e14, all_4_73, e13, e12, simplifying with
% 51.61/8.18 | (29), (85) gives:
% 51.61/8.18 | (253) all_4_73 = e14
% 51.61/8.18 |
% 51.61/8.18 | GROUND_INST: instantiating (69) with e13, all_4_71, e14, e12, simplifying with
% 51.61/8.18 | (30), (86) gives:
% 51.61/8.18 | (254) all_4_71 = e13
% 51.61/8.18 |
% 51.61/8.18 | GROUND_INST: instantiating (69) with e14, all_4_67, e11, e13, simplifying with
% 51.61/8.18 | (31), (87) gives:
% 51.61/8.18 | (255) all_4_67 = e14
% 51.61/8.18 |
% 51.61/8.18 | GROUND_INST: instantiating (69) with e12, all_4_69, e10, e13, simplifying with
% 51.61/8.18 | (32), (88) gives:
% 51.61/8.18 | (256) all_4_69 = e12
% 51.61/8.18 |
% 51.61/8.18 | GROUND_INST: instantiating (69) with e10, all_4_65, e12, e13, simplifying with
% 51.61/8.18 | (33), (89) gives:
% 51.61/8.18 | (257) all_4_65 = e10
% 51.61/8.18 |
% 51.61/8.18 | GROUND_INST: instantiating (69) with e13, all_4_63, e13, e13, simplifying with
% 51.61/8.18 | (34), (90) gives:
% 51.61/8.18 | (258) all_4_63 = e13
% 51.61/8.18 |
% 51.61/8.18 | GROUND_INST: instantiating (69) with e11, all_4_61, e14, e13, simplifying with
% 51.61/8.18 | (35), (91) gives:
% 51.61/8.18 | (259) all_4_61 = e11
% 51.61/8.18 |
% 51.61/8.18 | GROUND_INST: instantiating (69) with e12, all_4_57, e11, e14, simplifying with
% 51.61/8.18 | (36), (92) gives:
% 51.61/8.18 | (260) all_4_57 = e12
% 51.61/8.18 |
% 51.61/8.18 | GROUND_INST: instantiating (69) with e13, all_4_59, e10, e14, simplifying with
% 51.61/8.18 | (37), (93) gives:
% 51.61/8.18 | (261) all_4_59 = e13
% 51.61/8.18 |
% 51.61/8.18 | GROUND_INST: instantiating (69) with e11, all_4_55, e12, e14, simplifying with
% 51.61/8.18 | (38), (94) gives:
% 51.61/8.18 | (262) all_4_55 = e11
% 51.61/8.18 |
% 51.61/8.18 | GROUND_INST: instantiating (69) with e10, all_4_53, e13, e14, simplifying with
% 51.61/8.18 | (39), (95) gives:
% 51.61/8.18 | (263) all_4_53 = e10
% 51.61/8.18 |
% 51.61/8.18 | GROUND_INST: instantiating (69) with e14, all_4_51, e14, e14, simplifying with
% 51.61/8.18 | (40), (96) gives:
% 51.61/8.18 | (264) all_4_51 = e14
% 51.61/8.18 |
% 51.61/8.18 | GROUND_INST: instantiating (70) with e21, all_4_37, e21, e21, simplifying with
% 51.61/8.18 | (41), (115) gives:
% 51.61/8.18 | (265) all_4_37 = e21
% 51.61/8.18 |
% 51.61/8.19 | GROUND_INST: instantiating (70) with e22, all_4_39, e20, e21, simplifying with
% 51.61/8.19 | (42), (116) gives:
% 51.61/8.19 | (266) all_4_39 = e22
% 51.61/8.19 |
% 51.61/8.19 | GROUND_INST: instantiating (70) with e23, all_4_35, e22, e21, simplifying with
% 51.61/8.19 | (43), (117) gives:
% 51.61/8.19 | (267) all_4_35 = e23
% 51.61/8.19 |
% 51.61/8.19 | GROUND_INST: instantiating (70) with e24, all_4_33, e23, e21, simplifying with
% 51.61/8.19 | (44), (118) gives:
% 51.61/8.19 | (268) all_4_33 = e24
% 51.61/8.19 |
% 51.61/8.19 | GROUND_INST: instantiating (70) with e20, all_4_31, e24, e21, simplifying with
% 51.61/8.19 | (45), (119) gives:
% 51.61/8.19 | (269) all_4_31 = e20
% 51.61/8.19 |
% 51.61/8.19 | GROUND_INST: instantiating (70) with e23, all_4_47, e21, e20, simplifying with
% 51.61/8.19 | (46), (120) gives:
% 51.61/8.19 | (270) all_4_47 = e23
% 51.61/8.19 |
% 51.61/8.19 | GROUND_INST: instantiating (70) with e20, all_4_49, e20, e20, simplifying with
% 51.61/8.19 | (47), (121) gives:
% 51.61/8.19 | (271) all_4_49 = e20
% 51.61/8.19 |
% 51.61/8.19 | GROUND_INST: instantiating (70) with e24, all_4_45, e22, e20, simplifying with
% 51.61/8.19 | (48), (122) gives:
% 51.61/8.19 | (272) all_4_45 = e24
% 51.61/8.19 |
% 51.61/8.19 | GROUND_INST: instantiating (70) with e22, all_4_43, e23, e20, simplifying with
% 51.61/8.19 | (49), (123) gives:
% 51.61/8.19 | (273) all_4_43 = e22
% 51.61/8.19 |
% 51.61/8.19 | GROUND_INST: instantiating (70) with e21, all_4_41, e24, e20, simplifying with
% 51.61/8.19 | (50), (124) gives:
% 51.61/8.19 | (274) all_4_41 = e21
% 51.61/8.19 |
% 51.61/8.19 | GROUND_INST: instantiating (70) with e24, all_4_27, e21, e22, simplifying with
% 51.61/8.19 | (51), (125) gives:
% 51.61/8.19 | (275) all_4_27 = e24
% 51.61/8.19 |
% 51.61/8.19 | GROUND_INST: instantiating (70) with e21, all_4_29, e20, e22, simplifying with
% 51.61/8.19 | (52), (126) gives:
% 51.61/8.19 | (276) all_4_29 = e21
% 51.61/8.19 |
% 51.61/8.19 | GROUND_INST: instantiating (70) with e22, all_4_25, e22, e22, simplifying with
% 51.61/8.19 | (53), (127) gives:
% 51.61/8.19 | (277) all_4_25 = e22
% 51.61/8.19 |
% 51.61/8.19 | GROUND_INST: instantiating (70) with e20, all_4_23, e23, e22, simplifying with
% 51.61/8.19 | (54), (128) gives:
% 51.61/8.19 | (278) all_4_23 = e20
% 51.61/8.19 |
% 51.61/8.19 | GROUND_INST: instantiating (70) with e23, all_4_21, e24, e22, simplifying with
% 51.61/8.19 | (55), (129) gives:
% 51.61/8.19 | (279) all_4_21 = e23
% 51.61/8.19 |
% 51.61/8.19 | GROUND_INST: instantiating (70) with e20, all_4_17, e21, e23, simplifying with
% 51.61/8.19 | (56), (130) gives:
% 51.61/8.19 | (280) all_4_17 = e20
% 51.61/8.19 |
% 51.61/8.19 | GROUND_INST: instantiating (70) with e24, all_4_19, e20, e23, simplifying with
% 51.61/8.19 | (57), (131) gives:
% 51.61/8.19 | (281) all_4_19 = e24
% 51.61/8.19 |
% 51.61/8.19 | GROUND_INST: instantiating (70) with e21, all_4_15, e22, e23, simplifying with
% 51.61/8.19 | (58), (132) gives:
% 51.61/8.19 | (282) all_4_15 = e21
% 51.61/8.19 |
% 51.61/8.19 | GROUND_INST: instantiating (70) with e23, all_4_13, e23, e23, simplifying with
% 51.61/8.19 | (59), (133) gives:
% 51.61/8.19 | (283) all_4_13 = e23
% 51.61/8.19 |
% 51.61/8.19 | GROUND_INST: instantiating (70) with e22, all_4_11, e24, e23, simplifying with
% 51.61/8.20 | (60), (134) gives:
% 51.61/8.20 | (284) all_4_11 = e22
% 51.61/8.20 |
% 51.61/8.20 | GROUND_INST: instantiating (70) with e22, all_4_7, e21, e24, simplifying with
% 51.61/8.20 | (61), (135) gives:
% 51.61/8.20 | (285) all_4_7 = e22
% 51.61/8.20 |
% 51.61/8.20 | GROUND_INST: instantiating (70) with e23, all_4_9, e20, e24, simplifying with
% 51.61/8.20 | (62), (136) gives:
% 51.61/8.20 | (286) all_4_9 = e23
% 51.61/8.20 |
% 51.61/8.20 | GROUND_INST: instantiating (70) with e20, all_4_5, e22, e24, simplifying with
% 51.61/8.20 | (63), (137) gives:
% 51.61/8.20 | (287) all_4_5 = e20
% 51.61/8.20 |
% 51.61/8.20 | GROUND_INST: instantiating (70) with e21, all_4_3, e23, e24, simplifying with
% 51.61/8.20 | (64), (138) gives:
% 51.61/8.20 | (288) all_4_3 = e21
% 51.61/8.20 |
% 51.61/8.20 | GROUND_INST: instantiating (70) with e24, all_4_1, e24, e24, simplifying with
% 51.61/8.20 | (65), (139) gives:
% 51.61/8.20 | (289) all_4_1 = e24
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (229), (264) imply:
% 51.61/8.20 | (290) h(e14) = all_4_50
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (228), (263) imply:
% 51.61/8.20 | (291) h(e10) = all_4_52
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (227), (262) imply:
% 51.61/8.20 | (292) h(e11) = all_4_54
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (226), (260) imply:
% 51.61/8.20 | (293) h(e12) = all_4_56
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (225), (261) imply:
% 51.61/8.20 | (294) h(e13) = all_4_58
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (224), (259) imply:
% 51.61/8.20 | (295) h(e11) = all_4_60
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (223), (258) imply:
% 51.61/8.20 | (296) h(e13) = all_4_62
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (222), (257) imply:
% 51.61/8.20 | (297) h(e10) = all_4_64
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (221), (255) imply:
% 51.61/8.20 | (298) h(e14) = all_4_66
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (220), (256) imply:
% 51.61/8.20 | (299) h(e12) = all_4_68
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (219), (254) imply:
% 51.61/8.20 | (300) h(e13) = all_4_70
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (218), (253) imply:
% 51.61/8.20 | (301) h(e14) = all_4_72
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (217), (252) imply:
% 51.61/8.20 | (302) h(e12) = all_4_74
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (216), (250) imply:
% 51.61/8.20 | (303) h(e10) = all_4_76
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (215), (251) imply:
% 51.61/8.20 | (304) h(e11) = all_4_78
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (214), (244) imply:
% 51.61/8.20 | (305) h(e10) = all_4_80
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (213), (243) imply:
% 51.61/8.20 | (306) h(e12) = all_4_82
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (212), (242) imply:
% 51.61/8.20 | (307) h(e13) = all_4_84
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (211), (240) imply:
% 51.61/8.20 | (308) h(e11) = all_4_86
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (210), (241) imply:
% 51.61/8.20 | (309) h(e14) = all_4_88
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (209), (249) imply:
% 51.61/8.20 | (310) h(e12) = all_4_90
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (208), (248) imply:
% 51.61/8.20 | (311) h(e11) = all_4_92
% 51.61/8.20 |
% 51.61/8.20 | REDUCE: (207), (247) imply:
% 51.61/8.21 | (312) h(e14) = all_4_94
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (206), (245) imply:
% 51.61/8.21 | (313) h(e13) = all_4_96
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (205), (246) imply:
% 51.61/8.21 | (314) h(e10) = all_4_98
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (194), (289) imply:
% 51.61/8.21 | (315) j(e24) = all_4_0
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (193), (288) imply:
% 51.61/8.21 | (316) j(e21) = all_4_2
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (192), (287) imply:
% 51.61/8.21 | (317) j(e20) = all_4_4
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (191), (285) imply:
% 51.61/8.21 | (318) j(e22) = all_4_6
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (190), (286) imply:
% 51.61/8.21 | (319) j(e23) = all_4_8
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (189), (284) imply:
% 51.61/8.21 | (320) j(e22) = all_4_10
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (188), (283) imply:
% 51.61/8.21 | (321) j(e23) = all_4_12
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (187), (282) imply:
% 51.61/8.21 | (322) j(e21) = all_4_14
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (186), (280) imply:
% 51.61/8.21 | (323) j(e20) = all_4_16
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (185), (281) imply:
% 51.61/8.21 | (324) j(e24) = all_4_18
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (184), (279) imply:
% 51.61/8.21 | (325) j(e23) = all_4_20
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (183), (278) imply:
% 51.61/8.21 | (326) j(e20) = all_4_22
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (182), (277) imply:
% 51.61/8.21 | (327) j(e22) = all_4_24
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (181), (275) imply:
% 51.61/8.21 | (328) j(e24) = all_4_26
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (180), (276) imply:
% 51.61/8.21 | (329) j(e21) = all_4_28
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (179), (269) imply:
% 51.61/8.21 | (330) j(e20) = all_4_30
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (178), (268) imply:
% 51.61/8.21 | (331) j(e24) = all_4_32
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (177), (267) imply:
% 51.61/8.21 | (332) j(e23) = all_4_34
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (176), (265) imply:
% 51.61/8.21 | (333) j(e21) = all_4_36
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (175), (266) imply:
% 51.61/8.21 | (334) j(e22) = all_4_38
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (174), (274) imply:
% 51.61/8.21 | (335) j(e21) = all_4_40
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (173), (273) imply:
% 51.61/8.21 | (336) j(e22) = all_4_42
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (172), (272) imply:
% 51.61/8.21 | (337) j(e24) = all_4_44
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (171), (270) imply:
% 51.61/8.21 | (338) j(e23) = all_4_46
% 51.61/8.21 |
% 51.61/8.21 | REDUCE: (170), (271) imply:
% 51.61/8.21 | (339) j(e20) = all_4_48
% 51.61/8.21 |
% 51.61/8.21 | GROUND_INST: instantiating (67) with all_4_103, all_4_14, e21, simplifying
% 51.61/8.21 | with (160), (322) gives:
% 51.61/8.21 | (340) all_4_14 = all_4_103
% 51.61/8.21 |
% 51.61/8.21 | GROUND_INST: instantiating (67) with all_4_28, all_4_14, e21, simplifying with
% 51.61/8.21 | (322), (329) gives:
% 51.61/8.21 | (341) all_4_14 = all_4_28
% 51.61/8.21 |
% 51.61/8.21 | GROUND_INST: instantiating (67) with all_4_36, all_4_14, e21, simplifying with
% 51.61/8.21 | (322), (333) gives:
% 51.61/8.21 | (342) all_4_14 = all_4_36
% 51.61/8.21 |
% 51.61/8.21 | GROUND_INST: instantiating (67) with all_4_28, all_4_2, e21, simplifying with
% 51.61/8.21 | (316), (329) gives:
% 51.61/8.21 | (343) all_4_2 = all_4_28
% 51.61/8.21 |
% 51.61/8.21 | GROUND_INST: instantiating (67) with all_4_40, all_4_2, e21, simplifying with
% 51.61/8.21 | (316), (335) gives:
% 51.61/8.21 | (344) all_4_2 = all_4_40
% 51.61/8.21 |
% 51.61/8.21 | GROUND_INST: instantiating (67) with all_4_104, all_4_22, e20, simplifying
% 51.61/8.21 | with (161), (326) gives:
% 51.61/8.21 | (345) all_4_22 = all_4_104
% 51.61/8.21 |
% 51.61/8.21 | GROUND_INST: instantiating (67) with all_4_30, all_4_22, e20, simplifying with
% 51.61/8.21 | (326), (330) gives:
% 51.61/8.21 | (346) all_4_22 = all_4_30
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (67) with all_4_16, all_4_4, e20, simplifying with
% 51.61/8.22 | (317), (323) gives:
% 51.61/8.22 | (347) all_4_4 = all_4_16
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (67) with all_4_22, all_4_4, e20, simplifying with
% 51.61/8.22 | (317), (326) gives:
% 51.61/8.22 | (348) all_4_4 = all_4_22
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (67) with all_4_48, all_4_4, e20, simplifying with
% 51.61/8.22 | (317), (339) gives:
% 51.61/8.22 | (349) all_4_4 = all_4_48
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (67) with all_4_102, all_4_10, e22, simplifying
% 51.61/8.22 | with (162), (320) gives:
% 51.61/8.22 | (350) all_4_10 = all_4_102
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (67) with all_4_24, all_4_10, e22, simplifying with
% 51.61/8.22 | (320), (327) gives:
% 51.61/8.22 | (351) all_4_10 = all_4_24
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (67) with all_4_38, all_4_10, e22, simplifying with
% 51.61/8.22 | (320), (334) gives:
% 51.61/8.22 | (352) all_4_10 = all_4_38
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (67) with all_4_24, all_4_6, e22, simplifying with
% 51.61/8.22 | (318), (327) gives:
% 51.61/8.22 | (353) all_4_6 = all_4_24
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (67) with all_4_42, all_4_6, e22, simplifying with
% 51.61/8.22 | (318), (336) gives:
% 51.61/8.22 | (354) all_4_6 = all_4_42
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (67) with all_4_101, all_4_20, e23, simplifying
% 51.61/8.22 | with (163), (325) gives:
% 51.61/8.22 | (355) all_4_20 = all_4_101
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (67) with all_4_34, all_4_20, e23, simplifying with
% 51.61/8.22 | (325), (332) gives:
% 51.61/8.22 | (356) all_4_20 = all_4_34
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (67) with all_4_20, all_4_12, e23, simplifying with
% 51.61/8.22 | (321), (325) gives:
% 51.61/8.22 | (357) all_4_12 = all_4_20
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (67) with all_4_12, all_4_8, e23, simplifying with
% 51.61/8.22 | (319), (321) gives:
% 51.61/8.22 | (358) all_4_8 = all_4_12
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (67) with all_4_46, all_4_8, e23, simplifying with
% 51.61/8.22 | (319), (338) gives:
% 51.61/8.22 | (359) all_4_8 = all_4_46
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (67) with all_4_100, all_4_26, e24, simplifying
% 51.61/8.22 | with (164), (328) gives:
% 51.61/8.22 | (360) all_4_26 = all_4_100
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (67) with all_4_32, all_4_26, e24, simplifying with
% 51.61/8.22 | (328), (331) gives:
% 51.61/8.22 | (361) all_4_26 = all_4_32
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (67) with all_4_18, all_4_0, e24, simplifying with
% 51.61/8.22 | (315), (324) gives:
% 51.61/8.22 | (362) all_4_0 = all_4_18
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (67) with all_4_32, all_4_0, e24, simplifying with
% 51.61/8.22 | (315), (331) gives:
% 51.61/8.22 | (363) all_4_0 = all_4_32
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (67) with all_4_44, all_4_0, e24, simplifying with
% 51.61/8.22 | (315), (337) gives:
% 51.61/8.22 | (364) all_4_0 = all_4_44
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (68) with all_4_92, all_4_86, e11, simplifying with
% 51.61/8.22 | (308), (311) gives:
% 51.61/8.22 | (365) all_4_86 = all_4_92
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (68) with all_4_108, all_4_60, e11, simplifying
% 51.61/8.22 | with (195), (295) gives:
% 51.61/8.22 | (366) all_4_60 = all_4_108
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (68) with all_4_60, all_4_54, e11, simplifying with
% 51.61/8.22 | (292), (295) gives:
% 51.61/8.22 | (367) all_4_54 = all_4_60
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (68) with all_4_78, all_4_54, e11, simplifying with
% 51.61/8.22 | (292), (304) gives:
% 51.61/8.22 | (368) all_4_54 = all_4_78
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (68) with all_4_86, all_4_54, e11, simplifying with
% 51.61/8.22 | (292), (308) gives:
% 51.61/8.22 | (369) all_4_54 = all_4_86
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (68) with all_4_80, all_4_76, e10, simplifying with
% 51.61/8.22 | (303), (305) gives:
% 51.61/8.22 | (370) all_4_76 = all_4_80
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (68) with all_4_80, all_4_64, e10, simplifying with
% 51.61/8.22 | (297), (305) gives:
% 51.61/8.22 | (371) all_4_64 = all_4_80
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (68) with all_4_98, all_4_64, e10, simplifying with
% 51.61/8.22 | (297), (314) gives:
% 51.61/8.22 | (372) all_4_64 = all_4_98
% 51.61/8.22 |
% 51.61/8.22 | GROUND_INST: instantiating (68) with all_4_109, all_4_52, e10, simplifying
% 51.61/8.22 | with (196), (291) gives:
% 51.61/8.23 | (373) all_4_52 = all_4_109
% 51.61/8.23 |
% 51.61/8.23 | GROUND_INST: instantiating (68) with all_4_76, all_4_52, e10, simplifying with
% 51.61/8.23 | (291), (303) gives:
% 51.61/8.23 | (374) all_4_52 = all_4_76
% 51.61/8.23 |
% 51.61/8.23 | GROUND_INST: instantiating (68) with all_4_107, all_4_68, e12, simplifying
% 51.61/8.23 | with (197), (299) gives:
% 51.61/8.23 | (375) all_4_68 = all_4_107
% 51.61/8.23 |
% 51.61/8.23 | GROUND_INST: instantiating (68) with all_4_74, all_4_68, e12, simplifying with
% 51.61/8.23 | (299), (302) gives:
% 51.61/8.23 | (376) all_4_68 = all_4_74
% 51.61/8.23 |
% 51.61/8.23 | GROUND_INST: instantiating (68) with all_4_82, all_4_68, e12, simplifying with
% 51.61/8.23 | (299), (306) gives:
% 51.61/8.23 | (377) all_4_68 = all_4_82
% 51.61/8.23 |
% 51.61/8.23 | GROUND_INST: instantiating (68) with all_4_68, all_4_56, e12, simplifying with
% 51.61/8.23 | (293), (299) gives:
% 51.61/8.23 | (378) all_4_56 = all_4_68
% 51.61/8.23 |
% 51.61/8.23 | GROUND_INST: instantiating (68) with all_4_90, all_4_56, e12, simplifying with
% 51.61/8.23 | (293), (310) gives:
% 51.61/8.23 | (379) all_4_56 = all_4_90
% 51.61/8.23 |
% 51.61/8.23 | GROUND_INST: instantiating (68) with all_4_106, all_4_62, e13, simplifying
% 51.61/8.23 | with (198), (296) gives:
% 51.61/8.23 | (380) all_4_62 = all_4_106
% 51.61/8.23 |
% 51.61/8.23 | GROUND_INST: instantiating (68) with all_4_70, all_4_62, e13, simplifying with
% 51.61/8.23 | (296), (300) gives:
% 51.61/8.23 | (381) all_4_62 = all_4_70
% 51.61/8.23 |
% 51.61/8.23 | GROUND_INST: instantiating (68) with all_4_96, all_4_62, e13, simplifying with
% 51.61/8.23 | (296), (313) gives:
% 51.61/8.23 | (382) all_4_62 = all_4_96
% 51.61/8.23 |
% 51.61/8.23 | GROUND_INST: instantiating (68) with all_4_62, all_4_58, e13, simplifying with
% 51.61/8.23 | (294), (296) gives:
% 51.61/8.23 | (383) all_4_58 = all_4_62
% 51.61/8.23 |
% 51.61/8.23 | GROUND_INST: instantiating (68) with all_4_84, all_4_58, e13, simplifying with
% 51.61/8.23 | (294), (307) gives:
% 51.61/8.23 | (384) all_4_58 = all_4_84
% 51.61/8.23 |
% 51.61/8.23 | GROUND_INST: instantiating (68) with all_4_88, all_4_72, e14, simplifying with
% 51.61/8.23 | (301), (309) gives:
% 51.61/8.23 | (385) all_4_72 = all_4_88
% 51.61/8.23 |
% 51.61/8.23 | GROUND_INST: instantiating (68) with all_4_105, all_4_66, e14, simplifying
% 51.61/8.23 | with (199), (298) gives:
% 51.61/8.23 | (386) all_4_66 = all_4_105
% 51.61/8.23 |
% 51.61/8.23 | GROUND_INST: instantiating (68) with all_4_72, all_4_66, e14, simplifying with
% 51.61/8.23 | (298), (301) gives:
% 51.61/8.23 | (387) all_4_66 = all_4_72
% 51.61/8.23 |
% 51.61/8.23 | GROUND_INST: instantiating (68) with all_4_88, all_4_50, e14, simplifying with
% 51.61/8.23 | (290), (309) gives:
% 51.61/8.23 | (388) all_4_50 = all_4_88
% 51.61/8.23 |
% 51.61/8.23 | GROUND_INST: instantiating (68) with all_4_94, all_4_50, e14, simplifying with
% 51.61/8.23 | (290), (312) gives:
% 51.61/8.23 | (389) all_4_50 = all_4_94
% 51.61/8.23 |
% 51.61/8.23 | COMBINE_EQS: (362), (364) imply:
% 51.61/8.23 | (390) all_4_18 = all_4_44
% 51.61/8.23 |
% 51.61/8.23 | COMBINE_EQS: (362), (363) imply:
% 51.61/8.23 | (391) all_4_18 = all_4_32
% 51.61/8.23 |
% 51.61/8.23 | COMBINE_EQS: (343), (344) imply:
% 51.61/8.23 | (392) all_4_28 = all_4_40
% 51.61/8.23 |
% 51.61/8.23 | SIMP: (392) implies:
% 51.61/8.23 | (393) all_4_28 = all_4_40
% 51.61/8.23 |
% 51.61/8.23 | COMBINE_EQS: (347), (349) imply:
% 51.61/8.23 | (394) all_4_16 = all_4_48
% 51.61/8.23 |
% 51.61/8.23 | COMBINE_EQS: (347), (348) imply:
% 51.61/8.23 | (395) all_4_16 = all_4_22
% 51.61/8.23 |
% 51.61/8.23 | COMBINE_EQS: (353), (354) imply:
% 51.61/8.23 | (396) all_4_24 = all_4_42
% 51.61/8.23 |
% 51.61/8.23 | SIMP: (396) implies:
% 51.61/8.23 | (397) all_4_24 = all_4_42
% 51.61/8.23 |
% 51.61/8.23 | COMBINE_EQS: (358), (359) imply:
% 51.61/8.23 | (398) all_4_12 = all_4_46
% 51.61/8.23 |
% 51.61/8.23 | SIMP: (398) implies:
% 51.61/8.23 | (399) all_4_12 = all_4_46
% 51.61/8.23 |
% 51.61/8.23 | COMBINE_EQS: (351), (352) imply:
% 51.61/8.23 | (400) all_4_24 = all_4_38
% 51.61/8.23 |
% 51.61/8.23 | SIMP: (400) implies:
% 51.61/8.23 | (401) all_4_24 = all_4_38
% 51.61/8.23 |
% 51.61/8.23 | COMBINE_EQS: (350), (352) imply:
% 51.61/8.23 | (402) all_4_38 = all_4_102
% 51.61/8.23 |
% 51.61/8.23 | COMBINE_EQS: (357), (399) imply:
% 51.61/8.23 | (403) all_4_20 = all_4_46
% 51.61/8.23 |
% 51.61/8.23 | SIMP: (403) implies:
% 51.61/8.23 | (404) all_4_20 = all_4_46
% 51.61/8.23 |
% 51.61/8.23 | COMBINE_EQS: (341), (342) imply:
% 51.61/8.23 | (405) all_4_28 = all_4_36
% 51.61/8.23 |
% 51.61/8.23 | SIMP: (405) implies:
% 51.61/8.23 | (406) all_4_28 = all_4_36
% 51.61/8.23 |
% 51.61/8.23 | COMBINE_EQS: (340), (342) imply:
% 51.61/8.23 | (407) all_4_36 = all_4_103
% 51.61/8.23 |
% 51.61/8.23 | COMBINE_EQS: (394), (395) imply:
% 51.61/8.24 | (408) all_4_22 = all_4_48
% 51.61/8.24 |
% 51.61/8.24 | SIMP: (408) implies:
% 51.61/8.24 | (409) all_4_22 = all_4_48
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (390), (391) imply:
% 51.61/8.24 | (410) all_4_32 = all_4_44
% 51.61/8.24 |
% 51.61/8.24 | SIMP: (410) implies:
% 51.61/8.24 | (411) all_4_32 = all_4_44
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (355), (356) imply:
% 51.61/8.24 | (412) all_4_34 = all_4_101
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (356), (404) imply:
% 51.61/8.24 | (413) all_4_34 = all_4_46
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (345), (346) imply:
% 51.61/8.24 | (414) all_4_30 = all_4_104
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (346), (409) imply:
% 51.61/8.24 | (415) all_4_30 = all_4_48
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (397), (401) imply:
% 51.61/8.24 | (416) all_4_38 = all_4_42
% 51.61/8.24 |
% 51.61/8.24 | SIMP: (416) implies:
% 51.61/8.24 | (417) all_4_38 = all_4_42
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (360), (361) imply:
% 51.61/8.24 | (418) all_4_32 = all_4_100
% 51.61/8.24 |
% 51.61/8.24 | SIMP: (418) implies:
% 51.61/8.24 | (419) all_4_32 = all_4_100
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (393), (406) imply:
% 51.61/8.24 | (420) all_4_36 = all_4_40
% 51.61/8.24 |
% 51.61/8.24 | SIMP: (420) implies:
% 51.61/8.24 | (421) all_4_36 = all_4_40
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (414), (415) imply:
% 51.61/8.24 | (422) all_4_48 = all_4_104
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (411), (419) imply:
% 51.61/8.24 | (423) all_4_44 = all_4_100
% 51.61/8.24 |
% 51.61/8.24 | SIMP: (423) implies:
% 51.61/8.24 | (424) all_4_44 = all_4_100
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (412), (413) imply:
% 51.61/8.24 | (425) all_4_46 = all_4_101
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (407), (421) imply:
% 51.61/8.24 | (426) all_4_40 = all_4_103
% 51.61/8.24 |
% 51.61/8.24 | SIMP: (426) implies:
% 51.61/8.24 | (427) all_4_40 = all_4_103
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (402), (417) imply:
% 51.61/8.24 | (428) all_4_42 = all_4_102
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (388), (389) imply:
% 51.61/8.24 | (429) all_4_88 = all_4_94
% 51.61/8.24 |
% 51.61/8.24 | SIMP: (429) implies:
% 51.61/8.24 | (430) all_4_88 = all_4_94
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (373), (374) imply:
% 51.61/8.24 | (431) all_4_76 = all_4_109
% 51.61/8.24 |
% 51.61/8.24 | SIMP: (431) implies:
% 51.61/8.24 | (432) all_4_76 = all_4_109
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (367), (368) imply:
% 51.61/8.24 | (433) all_4_60 = all_4_78
% 51.61/8.24 |
% 51.61/8.24 | SIMP: (433) implies:
% 51.61/8.24 | (434) all_4_60 = all_4_78
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (368), (369) imply:
% 51.61/8.24 | (435) all_4_78 = all_4_86
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (378), (379) imply:
% 51.61/8.24 | (436) all_4_68 = all_4_90
% 51.61/8.24 |
% 51.61/8.24 | SIMP: (436) implies:
% 51.61/8.24 | (437) all_4_68 = all_4_90
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (383), (384) imply:
% 51.61/8.24 | (438) all_4_62 = all_4_84
% 51.61/8.24 |
% 51.61/8.24 | SIMP: (438) implies:
% 51.61/8.24 | (439) all_4_62 = all_4_84
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (366), (434) imply:
% 51.61/8.24 | (440) all_4_78 = all_4_108
% 51.61/8.24 |
% 51.61/8.24 | SIMP: (440) implies:
% 51.61/8.24 | (441) all_4_78 = all_4_108
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (380), (381) imply:
% 51.61/8.24 | (442) all_4_70 = all_4_106
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (381), (439) imply:
% 51.61/8.24 | (443) all_4_70 = all_4_84
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (381), (382) imply:
% 51.61/8.24 | (444) all_4_70 = all_4_96
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (371), (372) imply:
% 51.61/8.24 | (445) all_4_80 = all_4_98
% 51.61/8.24 |
% 51.61/8.24 | SIMP: (445) implies:
% 51.61/8.24 | (446) all_4_80 = all_4_98
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (386), (387) imply:
% 51.61/8.24 | (447) all_4_72 = all_4_105
% 51.61/8.24 |
% 51.61/8.24 | SIMP: (447) implies:
% 51.61/8.24 | (448) all_4_72 = all_4_105
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (375), (376) imply:
% 51.61/8.24 | (449) all_4_74 = all_4_107
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (376), (377) imply:
% 51.61/8.24 | (450) all_4_74 = all_4_82
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (376), (437) imply:
% 51.61/8.24 | (451) all_4_74 = all_4_90
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (443), (444) imply:
% 51.61/8.24 | (452) all_4_84 = all_4_96
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (442), (443) imply:
% 51.61/8.24 | (453) all_4_84 = all_4_106
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (385), (448) imply:
% 51.61/8.24 | (454) all_4_88 = all_4_105
% 51.61/8.24 |
% 51.61/8.24 | SIMP: (454) implies:
% 51.61/8.24 | (455) all_4_88 = all_4_105
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (449), (450) imply:
% 51.61/8.24 | (456) all_4_82 = all_4_107
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (450), (451) imply:
% 51.61/8.24 | (457) all_4_82 = all_4_90
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (370), (432) imply:
% 51.61/8.24 | (458) all_4_80 = all_4_109
% 51.61/8.24 |
% 51.61/8.24 | SIMP: (458) implies:
% 51.61/8.24 | (459) all_4_80 = all_4_109
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (435), (441) imply:
% 51.61/8.24 | (460) all_4_86 = all_4_108
% 51.61/8.24 |
% 51.61/8.24 | SIMP: (460) implies:
% 51.61/8.24 | (461) all_4_86 = all_4_108
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (446), (459) imply:
% 51.61/8.24 | (462) all_4_98 = all_4_109
% 51.61/8.24 |
% 51.61/8.24 | SIMP: (462) implies:
% 51.61/8.24 | (463) all_4_98 = all_4_109
% 51.61/8.24 |
% 51.61/8.24 | COMBINE_EQS: (456), (457) imply:
% 51.61/8.24 | (464) all_4_90 = all_4_107
% 51.61/8.24 |
% 51.61/8.24 | SIMP: (464) implies:
% 51.61/8.24 | (465) all_4_90 = all_4_107
% 51.61/8.24 |
% 51.61/8.25 | COMBINE_EQS: (452), (453) imply:
% 51.61/8.25 | (466) all_4_96 = all_4_106
% 51.61/8.25 |
% 51.61/8.25 | COMBINE_EQS: (365), (461) imply:
% 51.61/8.25 | (467) all_4_92 = all_4_108
% 51.61/8.25 |
% 51.61/8.25 | SIMP: (467) implies:
% 51.61/8.25 | (468) all_4_92 = all_4_108
% 51.61/8.25 |
% 51.61/8.25 | COMBINE_EQS: (430), (455) imply:
% 51.61/8.25 | (469) all_4_94 = all_4_105
% 51.61/8.25 |
% 51.61/8.25 | SIMP: (469) implies:
% 51.61/8.25 | (470) all_4_94 = all_4_105
% 51.61/8.25 |
% 51.61/8.25 | COMBINE_EQS: (372), (463) imply:
% 51.61/8.25 | (471) all_4_64 = all_4_109
% 51.61/8.25 |
% 51.61/8.25 | COMBINE_EQS: (384), (453) imply:
% 51.61/8.25 | (472) all_4_58 = all_4_106
% 51.61/8.25 |
% 51.61/8.25 | COMBINE_EQS: (379), (465) imply:
% 51.61/8.25 | (473) all_4_56 = all_4_107
% 51.61/8.25 |
% 51.61/8.25 | COMBINE_EQS: (368), (441) imply:
% 51.61/8.25 | (474) all_4_54 = all_4_108
% 51.61/8.25 |
% 51.61/8.25 | COMBINE_EQS: (393), (427) imply:
% 51.61/8.25 | (475) all_4_28 = all_4_103
% 51.61/8.25 |
% 51.61/8.25 | COMBINE_EQS: (390), (424) imply:
% 51.61/8.25 | (476) all_4_18 = all_4_100
% 51.61/8.25 |
% 51.61/8.25 | COMBINE_EQS: (394), (422) imply:
% 51.61/8.25 | (477) all_4_16 = all_4_104
% 51.61/8.25 |
% 51.61/8.25 | COMBINE_EQS: (359), (425) imply:
% 51.61/8.25 | (478) all_4_8 = all_4_101
% 51.61/8.25 |
% 51.61/8.25 | COMBINE_EQS: (354), (428) imply:
% 51.61/8.25 | (479) all_4_6 = all_4_102
% 51.61/8.25 |
% 51.61/8.25 | COMBINE_EQS: (347), (477) imply:
% 51.61/8.25 | (480) all_4_4 = all_4_104
% 51.61/8.25 |
% 51.61/8.25 | COMBINE_EQS: (344), (427) imply:
% 51.61/8.25 | (481) all_4_2 = all_4_103
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (159), (373) imply:
% 51.61/8.25 | (482) op2(all_4_105, all_4_106) = all_4_109
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (158), (474) imply:
% 51.61/8.25 | (483) op2(all_4_105, all_4_107) = all_4_108
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (157), (473) imply:
% 51.61/8.25 | (484) op2(all_4_105, all_4_108) = all_4_107
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (156), (472) imply:
% 51.61/8.25 | (485) op2(all_4_105, all_4_109) = all_4_106
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (155), (366) imply:
% 51.61/8.25 | (486) op2(all_4_106, all_4_105) = all_4_108
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (154), (471) imply:
% 51.61/8.25 | (487) op2(all_4_106, all_4_107) = all_4_109
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (153), (386) imply:
% 51.61/8.25 | (488) op2(all_4_106, all_4_108) = all_4_105
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (152), (375) imply:
% 51.61/8.25 | (489) op2(all_4_106, all_4_109) = all_4_107
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (151), (442) imply:
% 51.61/8.25 | (490) op2(all_4_107, all_4_105) = all_4_106
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (150), (448) imply:
% 51.61/8.25 | (491) op2(all_4_107, all_4_106) = all_4_105
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (149), (432) imply:
% 51.61/8.25 | (492) op2(all_4_107, all_4_108) = all_4_109
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (148), (441) imply:
% 51.61/8.25 | (493) op2(all_4_107, all_4_109) = all_4_108
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (147), (459) imply:
% 51.61/8.25 | (494) op2(all_4_108, all_4_105) = all_4_109
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (146), (456) imply:
% 51.61/8.25 | (495) op2(all_4_108, all_4_106) = all_4_107
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (145), (453) imply:
% 51.61/8.25 | (496) op2(all_4_108, all_4_107) = all_4_106
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (144), (455) imply:
% 51.61/8.25 | (497) op2(all_4_108, all_4_109) = all_4_105
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (143), (465) imply:
% 51.61/8.25 | (498) op2(all_4_109, all_4_105) = all_4_107
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (142), (468) imply:
% 51.61/8.25 | (499) op2(all_4_109, all_4_106) = all_4_108
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (141), (470) imply:
% 51.61/8.25 | (500) op2(all_4_109, all_4_107) = all_4_105
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (140), (466) imply:
% 51.61/8.25 | (501) op2(all_4_109, all_4_108) = all_4_106
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (114), (481) imply:
% 51.61/8.25 | (502) op1(all_4_100, all_4_101) = all_4_103
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (113), (480) imply:
% 51.61/8.25 | (503) op1(all_4_100, all_4_102) = all_4_104
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (112), (479) imply:
% 51.61/8.25 | (504) op1(all_4_100, all_4_103) = all_4_102
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (111), (478) imply:
% 51.61/8.25 | (505) op1(all_4_100, all_4_104) = all_4_101
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (110), (350) imply:
% 51.61/8.25 | (506) op1(all_4_101, all_4_100) = all_4_102
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (109), (340) imply:
% 51.61/8.25 | (507) op1(all_4_101, all_4_102) = all_4_103
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (108), (476) imply:
% 51.61/8.25 | (508) op1(all_4_101, all_4_104) = all_4_100
% 51.61/8.25 |
% 51.61/8.25 | REDUCE: (107), (355) imply:
% 51.61/8.25 | (509) op1(all_4_102, all_4_100) = all_4_101
% 51.61/8.25 |
% 51.61/8.26 | REDUCE: (106), (345) imply:
% 51.61/8.26 | (510) op1(all_4_102, all_4_101) = all_4_104
% 51.61/8.26 |
% 51.61/8.26 | REDUCE: (105), (360) imply:
% 51.61/8.26 | (511) op1(all_4_102, all_4_103) = all_4_100
% 51.61/8.26 |
% 51.61/8.26 | REDUCE: (104), (475) imply:
% 51.61/8.26 | (512) op1(all_4_102, all_4_104) = all_4_103
% 51.61/8.26 |
% 51.61/8.26 | REDUCE: (103), (414) imply:
% 51.61/8.26 | (513) op1(all_4_103, all_4_100) = all_4_104
% 51.61/8.26 |
% 51.61/8.26 | REDUCE: (102), (419) imply:
% 51.61/8.26 | (514) op1(all_4_103, all_4_101) = all_4_100
% 51.61/8.26 |
% 51.61/8.26 | REDUCE: (101), (412) imply:
% 51.61/8.26 | (515) op1(all_4_103, all_4_102) = all_4_101
% 51.61/8.26 |
% 51.61/8.26 | REDUCE: (100), (402) imply:
% 51.61/8.26 | (516) op1(all_4_103, all_4_104) = all_4_102
% 51.61/8.26 |
% 51.61/8.26 | REDUCE: (99), (427) imply:
% 51.61/8.26 | (517) op1(all_4_104, all_4_100) = all_4_103
% 51.61/8.26 |
% 51.61/8.26 | REDUCE: (98), (424) imply:
% 51.61/8.26 | (518) op1(all_4_104, all_4_102) = all_4_100
% 51.61/8.26 |
% 51.61/8.26 | REDUCE: (97), (425) imply:
% 51.61/8.26 | (519) op1(all_4_104, all_4_103) = all_4_101
% 51.61/8.26 |
% 51.61/8.26 | BETA: splitting (230) gives:
% 51.61/8.26 |
% 51.61/8.26 | Case 1:
% 51.61/8.26 | |
% 51.61/8.26 | | (520) all_4_109 = e24
% 51.61/8.26 | |
% 51.61/8.26 | | REDUCE: (165), (520) imply:
% 51.61/8.26 | | (521) j(e24) = e10
% 51.61/8.26 | |
% 51.61/8.26 | | REDUCE: (489), (520) imply:
% 51.61/8.26 | | (522) op2(all_4_106, e24) = all_4_107
% 51.61/8.26 | |
% 51.61/8.26 | | REDUCE: (493), (520) imply:
% 51.61/8.26 | | (523) op2(all_4_107, e24) = all_4_108
% 51.61/8.26 | |
% 51.61/8.26 | | REDUCE: (497), (520) imply:
% 51.61/8.26 | | (524) op2(all_4_108, e24) = all_4_105
% 51.61/8.26 | |
% 51.61/8.26 | | REDUCE: (499), (520) imply:
% 51.61/8.26 | | (525) op2(e24, all_4_106) = all_4_108
% 51.61/8.26 | |
% 51.61/8.26 | | REDUCE: (501), (520) imply:
% 51.61/8.26 | | (526) op2(e24, all_4_108) = all_4_106
% 51.61/8.26 | |
% 51.61/8.26 | | GROUND_INST: instantiating (67) with all_4_100, e10, e24, simplifying with
% 51.61/8.26 | | (164), (521) gives:
% 51.61/8.26 | | (527) all_4_100 = e10
% 51.61/8.26 | |
% 51.61/8.26 | | REDUCE: (502), (527) imply:
% 51.61/8.26 | | (528) op1(e10, all_4_101) = all_4_103
% 51.61/8.26 | |
% 51.61/8.26 | | REDUCE: (503), (527) imply:
% 51.61/8.26 | | (529) op1(e10, all_4_102) = all_4_104
% 51.61/8.26 | |
% 51.61/8.26 | | REDUCE: (504), (527) imply:
% 51.61/8.26 | | (530) op1(e10, all_4_103) = all_4_102
% 51.61/8.26 | |
% 51.61/8.26 | | REDUCE: (505), (527) imply:
% 51.61/8.26 | | (531) op1(e10, all_4_104) = all_4_101
% 51.61/8.26 | |
% 51.61/8.26 | | REDUCE: (506), (527) imply:
% 51.61/8.26 | | (532) op1(all_4_101, e10) = all_4_102
% 51.61/8.26 | |
% 51.61/8.26 | | REDUCE: (508), (527) imply:
% 51.61/8.26 | | (533) op1(all_4_101, all_4_104) = e10
% 51.61/8.26 | |
% 51.61/8.26 | | REDUCE: (509), (527) imply:
% 51.61/8.26 | | (534) op1(all_4_102, e10) = all_4_101
% 51.61/8.26 | |
% 51.61/8.26 | | REDUCE: (511), (527) imply:
% 51.61/8.26 | | (535) op1(all_4_102, all_4_103) = e10
% 51.61/8.26 | |
% 51.61/8.26 | | REDUCE: (513), (527) imply:
% 51.61/8.26 | | (536) op1(all_4_103, e10) = all_4_104
% 51.61/8.26 | |
% 51.61/8.26 | | REDUCE: (514), (527) imply:
% 51.61/8.26 | | (537) op1(all_4_103, all_4_101) = e10
% 51.61/8.26 | |
% 51.61/8.26 | | REDUCE: (517), (527) imply:
% 51.61/8.26 | | (538) op1(all_4_104, e10) = all_4_103
% 51.61/8.26 | |
% 51.61/8.26 | | REDUCE: (518), (527) imply:
% 51.61/8.26 | | (539) op1(all_4_104, all_4_102) = e10
% 51.61/8.26 | |
% 51.61/8.26 | | BETA: splitting (237) gives:
% 51.61/8.26 | |
% 51.61/8.26 | | Case 1:
% 51.61/8.26 | | |
% 51.61/8.26 | | | (540) all_4_102 = e14
% 51.61/8.26 | | |
% 51.61/8.26 | | | REDUCE: (532), (540) imply:
% 51.61/8.26 | | | (541) op1(all_4_101, e10) = e14
% 51.61/8.26 | | |
% 51.61/8.26 | | | REDUCE: (534), (540) imply:
% 51.61/8.26 | | | (542) op1(e14, e10) = all_4_101
% 51.61/8.26 | | |
% 51.61/8.26 | | | REDUCE: (539), (540) imply:
% 51.61/8.26 | | | (543) op1(all_4_104, e14) = e10
% 51.61/8.26 | | |
% 51.61/8.26 | | | REDUCE: (529), (540) imply:
% 51.61/8.26 | | | (544) op1(e10, e14) = all_4_104
% 51.61/8.26 | | |
% 51.61/8.26 | | | GROUND_INST: instantiating (69) with e12, all_4_104, e14, e10, simplifying
% 51.61/8.26 | | | with (25), (544) gives:
% 51.61/8.26 | | | (545) all_4_104 = e12
% 51.61/8.26 | | |
% 51.61/8.26 | | | GROUND_INST: instantiating (69) with e13, all_4_101, e10, e14, simplifying
% 51.61/8.26 | | | with (37), (542) gives:
% 51.61/8.26 | | | (546) all_4_101 = e13
% 51.61/8.27 | | |
% 51.61/8.27 | | | REDUCE: (541), (546) imply:
% 51.61/8.27 | | | (547) op1(e13, e10) = e14
% 51.61/8.27 | | |
% 51.61/8.27 | | | REDUCE: (543), (545) imply:
% 51.61/8.27 | | | (548) op1(e12, e14) = e10
% 51.61/8.27 | | |
% 51.61/8.27 | | | REDUCE: (531), (545), (546) imply:
% 51.61/8.27 | | | (549) op1(e10, e12) = e13
% 51.61/8.27 | | |
% 51.61/8.27 | | | REF_CLOSE: (3), (23), (30), (32), (69), (547), (548), (549) are
% 51.61/8.27 | | | inconsistent by sub-proof #22.
% 51.61/8.27 | | |
% 51.61/8.27 | | Case 2:
% 51.61/8.27 | | |
% 51.61/8.27 | | | (550) ~ (all_4_102 = e14)
% 51.61/8.27 | | | (551) all_4_102 = e13 | all_4_102 = e12 | all_4_102 = e10 | all_4_102 =
% 51.61/8.27 | | | e11
% 51.61/8.27 | | |
% 51.61/8.27 | | | BETA: splitting (233) gives:
% 51.61/8.27 | | |
% 51.61/8.27 | | | Case 1:
% 51.61/8.27 | | | |
% 51.61/8.27 | | | | (552) all_4_106 = e24
% 51.61/8.27 | | | |
% 51.61/8.27 | | | | REDUCE: (168), (552) imply:
% 51.61/8.27 | | | | (553) j(e24) = e13
% 51.61/8.27 | | | |
% 51.61/8.27 | | | | GROUND_INST: instantiating (67) with e10, e13, e24, simplifying with
% 51.61/8.27 | | | | (521), (553) gives:
% 51.61/8.27 | | | | (554) e13 = e10
% 51.61/8.27 | | | |
% 51.61/8.27 | | | | REDUCE: (5), (554) imply:
% 51.61/8.27 | | | | (555) $false
% 51.61/8.27 | | | |
% 51.61/8.27 | | | | CLOSE: (555) is inconsistent.
% 51.61/8.27 | | | |
% 51.61/8.27 | | | Case 2:
% 51.61/8.27 | | | |
% 51.61/8.27 | | | | (556) all_4_106 = e23 | all_4_106 = e22 | all_4_106 = e20 | all_4_106
% 51.61/8.27 | | | | = e21
% 51.61/8.27 | | | |
% 51.61/8.27 | | | | BETA: splitting (234) gives:
% 51.61/8.27 | | | |
% 51.61/8.27 | | | | Case 1:
% 51.61/8.27 | | | | |
% 51.61/8.27 | | | | | (557) all_4_105 = e24
% 51.61/8.27 | | | | |
% 51.61/8.27 | | | | | REDUCE: (169), (557) imply:
% 51.61/8.27 | | | | | (558) j(e24) = e14
% 51.61/8.27 | | | | |
% 51.61/8.27 | | | | | GROUND_INST: instantiating (67) with e10, e14, e24, simplifying with
% 51.61/8.27 | | | | | (521), (558) gives:
% 51.61/8.27 | | | | | (559) e14 = e10
% 51.61/8.27 | | | | |
% 51.61/8.27 | | | | | REDUCE: (8), (559) imply:
% 51.61/8.27 | | | | | (560) $false
% 51.61/8.27 | | | | |
% 51.61/8.27 | | | | | CLOSE: (560) is inconsistent.
% 51.61/8.27 | | | | |
% 51.61/8.27 | | | | Case 2:
% 51.61/8.27 | | | | |
% 51.61/8.27 | | | | | (561) all_4_105 = e23 | all_4_105 = e22 | all_4_105 = e20 |
% 51.61/8.27 | | | | | all_4_105 = e21
% 51.61/8.27 | | | | |
% 51.61/8.27 | | | | | BETA: splitting (235) gives:
% 51.61/8.27 | | | | |
% 51.61/8.27 | | | | | Case 1:
% 51.61/8.27 | | | | | |
% 51.61/8.27 | | | | | | (562) all_4_104 = e14
% 51.61/8.27 | | | | | |
% 51.61/8.27 | | | | | | REDUCE: (533), (562) imply:
% 51.61/8.27 | | | | | | (563) op1(all_4_101, e14) = e10
% 51.61/8.27 | | | | | |
% 51.61/8.27 | | | | | | REDUCE: (536), (562) imply:
% 51.61/8.27 | | | | | | (564) op1(all_4_103, e10) = e14
% 51.61/8.27 | | | | | |
% 51.61/8.27 | | | | | | REDUCE: (538), (562) imply:
% 51.61/8.27 | | | | | | (565) op1(e14, e10) = all_4_103
% 51.61/8.27 | | | | | |
% 51.61/8.27 | | | | | | REDUCE: (531), (562) imply:
% 51.61/8.27 | | | | | | (566) op1(e10, e14) = all_4_101
% 51.61/8.27 | | | | | |
% 51.61/8.27 | | | | | | GROUND_INST: instantiating (69) with e12, all_4_101, e14, e10,
% 51.61/8.27 | | | | | | simplifying with (25), (566) gives:
% 51.61/8.27 | | | | | | (567) all_4_101 = e12
% 51.61/8.27 | | | | | |
% 51.61/8.27 | | | | | | GROUND_INST: instantiating (69) with e13, all_4_103, e10, e14,
% 51.61/8.27 | | | | | | simplifying with (37), (565) gives:
% 51.61/8.27 | | | | | | (568) all_4_103 = e13
% 51.61/8.27 | | | | | |
% 51.61/8.28 | | | | | | REDUCE: (563), (567) imply:
% 51.61/8.28 | | | | | | (569) op1(e12, e14) = e10
% 51.61/8.28 | | | | | |
% 51.61/8.28 | | | | | | REDUCE: (564), (568) imply:
% 51.61/8.28 | | | | | | (570) op1(e13, e10) = e14
% 51.61/8.28 | | | | | |
% 51.61/8.28 | | | | | | REDUCE: (528), (567), (568) imply:
% 51.61/8.28 | | | | | | (571) op1(e10, e12) = e13
% 51.61/8.28 | | | | | |
% 51.61/8.28 | | | | | | REF_CLOSE: (3), (23), (30), (32), (69), (569), (570), (571) are
% 51.61/8.28 | | | | | | inconsistent by sub-proof #22.
% 51.61/8.28 | | | | | |
% 51.61/8.28 | | | | | Case 2:
% 51.61/8.28 | | | | | |
% 51.61/8.28 | | | | | | (572) ~ (all_4_104 = e14)
% 51.61/8.28 | | | | | |
% 51.61/8.28 | | | | | | BETA: splitting (238) gives:
% 51.61/8.28 | | | | | |
% 51.61/8.28 | | | | | | Case 1:
% 51.61/8.28 | | | | | | |
% 51.61/8.28 | | | | | | | (573) all_4_101 = e14
% 51.61/8.28 | | | | | | |
% 51.61/8.28 | | | | | | | REDUCE: (532), (573) imply:
% 51.61/8.28 | | | | | | | (574) op1(e14, e10) = all_4_102
% 51.61/8.28 | | | | | | |
% 51.61/8.28 | | | | | | | REDUCE: (534), (573) imply:
% 51.61/8.28 | | | | | | | (575) op1(all_4_102, e10) = e14
% 51.61/8.28 | | | | | | |
% 51.61/8.28 | | | | | | | REDUCE: (537), (573) imply:
% 51.61/8.28 | | | | | | | (576) op1(all_4_103, e14) = e10
% 51.61/8.28 | | | | | | |
% 51.61/8.28 | | | | | | | REDUCE: (528), (573) imply:
% 51.61/8.28 | | | | | | | (577) op1(e10, e14) = all_4_103
% 51.61/8.28 | | | | | | |
% 51.61/8.28 | | | | | | | GROUND_INST: instantiating (69) with e12, all_4_103, e14, e10,
% 51.61/8.28 | | | | | | | simplifying with (25), (577) gives:
% 51.61/8.28 | | | | | | | (578) all_4_103 = e12
% 51.61/8.28 | | | | | | |
% 51.61/8.28 | | | | | | | GROUND_INST: instantiating (69) with e13, all_4_102, e10, e14,
% 51.61/8.28 | | | | | | | simplifying with (37), (574) gives:
% 51.61/8.28 | | | | | | | (579) all_4_102 = e13
% 51.61/8.28 | | | | | | |
% 51.61/8.28 | | | | | | | REDUCE: (575), (579) imply:
% 51.61/8.28 | | | | | | | (580) op1(e13, e10) = e14
% 51.61/8.28 | | | | | | |
% 51.61/8.28 | | | | | | | REDUCE: (576), (578) imply:
% 51.61/8.28 | | | | | | | (581) op1(e12, e14) = e10
% 51.61/8.28 | | | | | | |
% 51.61/8.28 | | | | | | | REDUCE: (530), (578), (579) imply:
% 51.61/8.28 | | | | | | | (582) op1(e10, e12) = e13
% 51.61/8.28 | | | | | | |
% 51.61/8.28 | | | | | | | REF_CLOSE: (3), (23), (30), (32), (69), (580), (581), (582) are
% 51.61/8.28 | | | | | | | inconsistent by sub-proof #22.
% 51.61/8.28 | | | | | | |
% 51.61/8.28 | | | | | | Case 2:
% 51.61/8.28 | | | | | | |
% 51.61/8.28 | | | | | | | (583) ~ (all_4_101 = e14)
% 51.61/8.28 | | | | | | | (584) all_4_101 = e13 | all_4_101 = e12 | all_4_101 = e10 |
% 51.61/8.28 | | | | | | | all_4_101 = e11
% 51.61/8.28 | | | | | | |
% 51.61/8.28 | | | | | | | BETA: splitting (231) gives:
% 51.61/8.28 | | | | | | |
% 51.61/8.28 | | | | | | | Case 1:
% 51.61/8.28 | | | | | | | |
% 51.61/8.28 | | | | | | | | (585) all_4_108 = e24
% 51.61/8.28 | | | | | | | |
% 51.61/8.28 | | | | | | | | REDUCE: (166), (585) imply:
% 51.61/8.28 | | | | | | | | (586) j(e24) = e11
% 51.61/8.28 | | | | | | | |
% 51.61/8.28 | | | | | | | | GROUND_INST: instantiating (67) with e10, e11, e24, simplifying
% 51.61/8.28 | | | | | | | | with (521), (586) gives:
% 51.61/8.28 | | | | | | | | (587) e10 = e11
% 51.61/8.28 | | | | | | | |
% 51.61/8.28 | | | | | | | | REDUCE: (1), (587) imply:
% 51.61/8.28 | | | | | | | | (588) $false
% 51.61/8.28 | | | | | | | |
% 51.61/8.28 | | | | | | | | CLOSE: (588) is inconsistent.
% 51.61/8.28 | | | | | | | |
% 51.61/8.28 | | | | | | | Case 2:
% 51.61/8.28 | | | | | | | |
% 51.61/8.28 | | | | | | | | (589) all_4_108 = e23 | all_4_108 = e22 | all_4_108 = e20 |
% 51.61/8.28 | | | | | | | | all_4_108 = e21
% 51.61/8.28 | | | | | | | |
% 51.61/8.28 | | | | | | | | BETA: splitting (236) gives:
% 51.61/8.28 | | | | | | | |
% 51.61/8.28 | | | | | | | | Case 1:
% 51.61/8.28 | | | | | | | | |
% 51.61/8.28 | | | | | | | | | (590) all_4_103 = e14
% 51.61/8.28 | | | | | | | | |
% 51.61/8.28 | | | | | | | | | REDUCE: (535), (590) imply:
% 51.61/8.28 | | | | | | | | | (591) op1(all_4_102, e14) = e10
% 51.61/8.28 | | | | | | | | |
% 51.61/8.28 | | | | | | | | | REDUCE: (536), (590) imply:
% 51.61/8.28 | | | | | | | | | (592) op1(e14, e10) = all_4_104
% 51.61/8.28 | | | | | | | | |
% 51.61/8.28 | | | | | | | | | REDUCE: (538), (590) imply:
% 51.61/8.28 | | | | | | | | | (593) op1(all_4_104, e10) = e14
% 51.61/8.28 | | | | | | | | |
% 51.61/8.28 | | | | | | | | | REDUCE: (530), (590) imply:
% 51.61/8.28 | | | | | | | | | (594) op1(e10, e14) = all_4_102
% 51.61/8.28 | | | | | | | | |
% 51.61/8.28 | | | | | | | | | GROUND_INST: instantiating (69) with e12, all_4_102, e14, e10,
% 51.61/8.28 | | | | | | | | | simplifying with (25), (594) gives:
% 51.61/8.28 | | | | | | | | | (595) all_4_102 = e12
% 51.61/8.28 | | | | | | | | |
% 51.61/8.28 | | | | | | | | | GROUND_INST: instantiating (69) with e13, all_4_104, e10, e14,
% 51.61/8.28 | | | | | | | | | simplifying with (37), (592) gives:
% 51.61/8.28 | | | | | | | | | (596) all_4_104 = e13
% 51.61/8.28 | | | | | | | | |
% 51.61/8.28 | | | | | | | | | REDUCE: (591), (595) imply:
% 51.61/8.28 | | | | | | | | | (597) op1(e12, e14) = e10
% 51.61/8.28 | | | | | | | | |
% 51.61/8.28 | | | | | | | | | REDUCE: (593), (596) imply:
% 51.61/8.28 | | | | | | | | | (598) op1(e13, e10) = e14
% 51.61/8.28 | | | | | | | | |
% 51.61/8.28 | | | | | | | | | REDUCE: (529), (595), (596) imply:
% 51.61/8.28 | | | | | | | | | (599) op1(e10, e12) = e13
% 51.61/8.28 | | | | | | | | |
% 51.61/8.28 | | | | | | | | | REF_CLOSE: (3), (23), (30), (32), (69), (597), (598), (599)
% 51.61/8.28 | | | | | | | | | are inconsistent by sub-proof #22.
% 51.61/8.28 | | | | | | | | |
% 51.61/8.29 | | | | | | | | Case 2:
% 51.61/8.29 | | | | | | | | |
% 51.61/8.29 | | | | | | | | | (600) ~ (all_4_103 = e14)
% 51.61/8.29 | | | | | | | | |
% 51.61/8.29 | | | | | | | | | BETA: splitting (551) gives:
% 51.61/8.29 | | | | | | | | |
% 51.61/8.29 | | | | | | | | | Case 1:
% 51.61/8.29 | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | (601) all_4_102 = e13
% 51.61/8.29 | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | REDUCE: (534), (601) imply:
% 51.61/8.29 | | | | | | | | | | (602) op1(e13, e10) = all_4_101
% 51.61/8.29 | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | GROUND_INST: instantiating (69) with e12, all_4_101, e10, e13,
% 51.61/8.29 | | | | | | | | | | simplifying with (32), (602) gives:
% 51.61/8.29 | | | | | | | | | | (603) all_4_101 = e12
% 51.61/8.29 | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | REDUCE: (528), (603) imply:
% 51.61/8.29 | | | | | | | | | | (604) op1(e10, e12) = all_4_103
% 51.61/8.29 | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | GROUND_INST: instantiating (69) with e14, all_4_103, e12, e10,
% 51.61/8.29 | | | | | | | | | | simplifying with (23), (604) gives:
% 51.61/8.29 | | | | | | | | | | (605) all_4_103 = e14
% 51.61/8.29 | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | REDUCE: (600), (605) imply:
% 51.61/8.29 | | | | | | | | | | (606) $false
% 51.61/8.29 | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | CLOSE: (606) is inconsistent.
% 51.61/8.29 | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | Case 2:
% 51.61/8.29 | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | (607) all_4_102 = e12 | all_4_102 = e10 | all_4_102 = e11
% 51.61/8.29 | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | BETA: splitting (556) gives:
% 51.61/8.29 | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | Case 1:
% 51.61/8.29 | | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | | (608) all_4_106 = e23
% 51.61/8.29 | | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | | REDUCE: (522), (608) imply:
% 51.61/8.29 | | | | | | | | | | | (609) op2(e23, e24) = all_4_107
% 51.61/8.29 | | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | | REDUCE: (525), (608) imply:
% 51.61/8.29 | | | | | | | | | | | (610) op2(e24, e23) = all_4_108
% 51.61/8.29 | | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | | REDUCE: (526), (608) imply:
% 51.61/8.29 | | | | | | | | | | | (611) op2(e24, all_4_108) = e23
% 51.61/8.29 | | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | | GROUND_INST: instantiating (70) with e22, all_4_107, e24, e23,
% 51.61/8.29 | | | | | | | | | | | simplifying with (60), (609) gives:
% 51.61/8.29 | | | | | | | | | | | (612) all_4_107 = e22
% 51.61/8.29 | | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | | GROUND_INST: instantiating (70) with e21, all_4_108, e23, e24,
% 51.61/8.29 | | | | | | | | | | | simplifying with (64), (610) gives:
% 51.61/8.29 | | | | | | | | | | | (613) all_4_108 = e21
% 51.61/8.29 | | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | | REDUCE: (523), (612), (613) imply:
% 51.61/8.29 | | | | | | | | | | | (614) op2(e22, e24) = e21
% 51.61/8.29 | | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | | REDUCE: (611), (613) imply:
% 51.61/8.29 | | | | | | | | | | | (615) op2(e24, e21) = e23
% 51.61/8.29 | | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | | REF_CLOSE: (11), (55), (61), (70), (614), (615) are
% 51.61/8.29 | | | | | | | | | | | inconsistent by sub-proof #21.
% 51.61/8.29 | | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | Case 2:
% 51.61/8.29 | | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | | (616) ~ (all_4_106 = e23)
% 51.61/8.29 | | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | | BETA: splitting (561) gives:
% 51.61/8.29 | | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | | Case 1:
% 51.61/8.29 | | | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | | | (617) all_4_105 = e23
% 51.61/8.29 | | | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | | | REF_CLOSE: (67), (163), (169), (583), (617) are inconsistent
% 51.61/8.29 | | | | | | | | | | | | by sub-proof #20.
% 51.61/8.29 | | | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | | Case 2:
% 51.61/8.29 | | | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | | | (618) ~ (all_4_105 = e23)
% 51.61/8.29 | | | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | | | BETA: splitting (584) gives:
% 51.61/8.29 | | | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | | | Case 1:
% 51.61/8.29 | | | | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | | | | (619) all_4_101 = e13
% 51.61/8.29 | | | | | | | | | | | | |
% 51.61/8.29 | | | | | | | | | | | | | REDUCE: (203), (619) imply:
% 51.61/8.29 | | | | | | | | | | | | | (620) h(e13) = e23
% 51.61/8.30 | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | GROUND_INST: instantiating (68) with all_4_106, e23, e13,
% 51.61/8.30 | | | | | | | | | | | | | simplifying with (198), (620) gives:
% 51.61/8.30 | | | | | | | | | | | | | (621) all_4_106 = e23
% 51.61/8.30 | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | REDUCE: (616), (621) imply:
% 51.61/8.30 | | | | | | | | | | | | | (622) $false
% 51.61/8.30 | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | CLOSE: (622) is inconsistent.
% 51.61/8.30 | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | Case 2:
% 51.61/8.30 | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | (623) all_4_101 = e12 | all_4_101 = e10 | all_4_101 =
% 51.61/8.30 | | | | | | | | | | | | | e11
% 51.61/8.30 | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | BETA: splitting (589) gives:
% 51.61/8.30 | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | Case 1:
% 51.61/8.30 | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | (624) all_4_108 = e23
% 51.61/8.30 | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | REDUCE: (524), (624) imply:
% 51.61/8.30 | | | | | | | | | | | | | | (625) op2(e23, e24) = all_4_105
% 51.61/8.30 | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | REF_CLOSE: (60), (67), (70), (162), (169), (550), (625) are
% 51.61/8.30 | | | | | | | | | | | | | | inconsistent by sub-proof #19.
% 51.61/8.30 | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | Case 2:
% 51.61/8.30 | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | (626) ~ (all_4_108 = e23)
% 51.61/8.30 | | | | | | | | | | | | | | (627) all_4_108 = e22 | all_4_108 = e20 | all_4_108 =
% 51.61/8.30 | | | | | | | | | | | | | | e21
% 51.61/8.30 | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | BETA: splitting (607) gives:
% 51.61/8.30 | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | Case 1:
% 51.61/8.30 | | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | | (628) all_4_102 = e12
% 51.61/8.30 | | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | | REDUCE: (529), (628) imply:
% 51.61/8.30 | | | | | | | | | | | | | | | (629) op1(e10, e12) = all_4_104
% 51.61/8.30 | | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | | REF_CLOSE: (23), (69), (572), (629) are inconsistent by
% 51.61/8.30 | | | | | | | | | | | | | | | sub-proof #18.
% 51.61/8.30 | | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | Case 2:
% 51.61/8.30 | | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | | (630) all_4_102 = e10 | all_4_102 = e11
% 51.61/8.30 | | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | | BETA: splitting (627) gives:
% 51.61/8.30 | | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | | Case 1:
% 51.61/8.30 | | | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | | | (631) all_4_108 = e22
% 51.61/8.30 | | | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | | | REDUCE: (524), (631) imply:
% 51.61/8.30 | | | | | | | | | | | | | | | | (632) op2(e22, e24) = all_4_105
% 51.61/8.30 | | | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e23, all_4_105, e24, e22,
% 51.61/8.30 | | | | | | | | | | | | | | | | simplifying with (55), (632) gives:
% 51.61/8.30 | | | | | | | | | | | | | | | | (633) all_4_105 = e23
% 51.61/8.30 | | | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | | | REDUCE: (618), (633) imply:
% 51.61/8.30 | | | | | | | | | | | | | | | | (634) $false
% 51.61/8.30 | | | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | | | CLOSE: (634) is inconsistent.
% 51.61/8.30 | | | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | | Case 2:
% 51.61/8.30 | | | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | | | (635) ~ (all_4_108 = e22)
% 51.61/8.30 | | | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | | | REF_CLOSE: (14), (23), (67), (68), (69), (162), (195), (202),
% 51.61/8.30 | | | | | | | | | | | | | | | | (203), (510), (572), (623), (626), (630), (635)
% 51.61/8.30 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #16.
% 51.61/8.30 | | | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | | End of split
% 51.61/8.30 | | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | | End of split
% 51.61/8.30 | | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | | End of split
% 51.61/8.30 | | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | | End of split
% 51.61/8.30 | | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | | End of split
% 51.61/8.30 | | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | | End of split
% 51.61/8.30 | | | | | | | | | |
% 51.61/8.30 | | | | | | | | | End of split
% 51.61/8.30 | | | | | | | | |
% 51.61/8.30 | | | | | | | | End of split
% 51.61/8.30 | | | | | | | |
% 51.61/8.30 | | | | | | | End of split
% 51.61/8.30 | | | | | | |
% 51.61/8.30 | | | | | | End of split
% 51.61/8.30 | | | | | |
% 51.61/8.30 | | | | | End of split
% 51.61/8.30 | | | | |
% 51.61/8.30 | | | | End of split
% 51.61/8.30 | | | |
% 51.61/8.30 | | | End of split
% 51.61/8.30 | | |
% 51.61/8.30 | | End of split
% 51.61/8.30 | |
% 51.61/8.30 | Case 2:
% 51.61/8.30 | |
% 51.61/8.30 | | (636) ~ (all_4_109 = e24)
% 51.61/8.30 | | (637) all_4_109 = e23 | all_4_109 = e22 | all_4_109 = e20 | all_4_109 =
% 51.61/8.30 | | e21
% 51.61/8.30 | |
% 51.61/8.30 | | BETA: splitting (237) gives:
% 51.61/8.30 | |
% 51.61/8.30 | | Case 1:
% 51.61/8.30 | | |
% 51.61/8.30 | | | (638) all_4_102 = e14
% 51.61/8.30 | | |
% 51.61/8.30 | | | REDUCE: (202), (638) imply:
% 51.61/8.30 | | | (639) h(e14) = e22
% 51.61/8.30 | | |
% 51.61/8.30 | | | REDUCE: (507), (638) imply:
% 51.61/8.30 | | | (640) op1(all_4_101, e14) = all_4_103
% 51.61/8.30 | | |
% 51.61/8.30 | | | REDUCE: (510), (638) imply:
% 51.61/8.30 | | | (641) op1(e14, all_4_101) = all_4_104
% 51.61/8.30 | | |
% 51.61/8.30 | | | REDUCE: (512), (638) imply:
% 51.61/8.30 | | | (642) op1(e14, all_4_104) = all_4_103
% 51.61/8.30 | | |
% 51.61/8.30 | | | REDUCE: (515), (638) imply:
% 51.61/8.30 | | | (643) op1(all_4_103, e14) = all_4_101
% 51.61/8.30 | | |
% 51.61/8.30 | | | GROUND_INST: instantiating (68) with all_4_105, e22, e14, simplifying with
% 51.61/8.30 | | | (199), (639) gives:
% 51.61/8.30 | | | (644) all_4_105 = e22
% 51.61/8.30 | | |
% 51.61/8.30 | | | REDUCE: (482), (644) imply:
% 51.61/8.30 | | | (645) op2(e22, all_4_106) = all_4_109
% 51.61/8.30 | | |
% 51.61/8.30 | | | REDUCE: (483), (644) imply:
% 51.61/8.30 | | | (646) op2(e22, all_4_107) = all_4_108
% 51.61/8.30 | | |
% 51.61/8.30 | | | REDUCE: (484), (644) imply:
% 51.61/8.30 | | | (647) op2(e22, all_4_108) = all_4_107
% 51.61/8.30 | | |
% 51.61/8.30 | | | REDUCE: (485), (644) imply:
% 51.61/8.30 | | | (648) op2(e22, all_4_109) = all_4_106
% 51.61/8.30 | | |
% 51.61/8.30 | | | REDUCE: (486), (644) imply:
% 51.61/8.30 | | | (649) op2(all_4_106, e22) = all_4_108
% 51.61/8.30 | | |
% 51.61/8.30 | | | REDUCE: (488), (644) imply:
% 51.61/8.30 | | | (650) op2(all_4_106, all_4_108) = e22
% 51.61/8.30 | | |
% 51.61/8.30 | | | REDUCE: (490), (644) imply:
% 51.61/8.30 | | | (651) op2(all_4_107, e22) = all_4_106
% 51.61/8.30 | | |
% 51.61/8.31 | | | REDUCE: (491), (644) imply:
% 51.61/8.31 | | | (652) op2(all_4_107, all_4_106) = e22
% 51.61/8.31 | | |
% 51.61/8.31 | | | REDUCE: (494), (644) imply:
% 51.61/8.31 | | | (653) op2(all_4_108, e22) = all_4_109
% 51.61/8.31 | | |
% 51.61/8.31 | | | REDUCE: (497), (644) imply:
% 51.61/8.31 | | | (654) op2(all_4_108, all_4_109) = e22
% 51.61/8.31 | | |
% 51.61/8.31 | | | REDUCE: (498), (644) imply:
% 51.61/8.31 | | | (655) op2(all_4_109, e22) = all_4_107
% 51.61/8.31 | | |
% 51.61/8.31 | | | BETA: splitting (238) gives:
% 51.61/8.31 | | |
% 51.61/8.31 | | | Case 1:
% 51.61/8.31 | | | |
% 51.61/8.31 | | | | (656) all_4_101 = e14
% 51.61/8.31 | | | |
% 51.61/8.31 | | | | REDUCE: (203), (656) imply:
% 51.61/8.31 | | | | (657) h(e14) = e23
% 51.61/8.31 | | | |
% 51.61/8.31 | | | | GROUND_INST: instantiating (68) with e22, e23, e14, simplifying with
% 51.61/8.31 | | | | (639), (657) gives:
% 51.61/8.31 | | | | (658) e23 = e22
% 51.61/8.31 | | | |
% 51.61/8.31 | | | | REDUCE: (14), (658) imply:
% 51.61/8.31 | | | | (659) $false
% 51.61/8.31 | | | |
% 51.61/8.31 | | | | CLOSE: (659) is inconsistent.
% 51.61/8.31 | | | |
% 51.61/8.31 | | | Case 2:
% 51.61/8.31 | | | |
% 51.61/8.31 | | | | (660) all_4_101 = e13 | all_4_101 = e12 | all_4_101 = e10 | all_4_101
% 51.61/8.31 | | | | = e11
% 51.61/8.31 | | | |
% 51.61/8.31 | | | | BETA: splitting (231) gives:
% 51.61/8.31 | | | |
% 51.61/8.31 | | | | Case 1:
% 51.61/8.31 | | | | |
% 51.61/8.31 | | | | | (661) all_4_108 = e24
% 51.61/8.31 | | | | |
% 51.61/8.31 | | | | | REDUCE: (654), (661) imply:
% 51.61/8.31 | | | | | (662) op2(e24, all_4_109) = e22
% 51.61/8.31 | | | | |
% 51.61/8.31 | | | | | REDUCE: (653), (661) imply:
% 51.61/8.31 | | | | | (663) op2(e24, e22) = all_4_109
% 51.61/8.31 | | | | |
% 51.61/8.31 | | | | | REDUCE: (646), (661) imply:
% 51.61/8.31 | | | | | (664) op2(e22, all_4_107) = e24
% 51.61/8.31 | | | | |
% 51.61/8.31 | | | | | REDUCE: (647), (661) imply:
% 51.61/8.31 | | | | | (665) op2(e22, e24) = all_4_107
% 51.61/8.31 | | | | |
% 51.61/8.31 | | | | | GROUND_INST: instantiating (70) with e23, all_4_107, e24, e22,
% 51.61/8.31 | | | | | simplifying with (55), (665) gives:
% 51.61/8.31 | | | | | (666) all_4_107 = e23
% 51.61/8.31 | | | | |
% 51.61/8.31 | | | | | GROUND_INST: instantiating (70) with e20, all_4_109, e22, e24,
% 51.61/8.31 | | | | | simplifying with (63), (663) gives:
% 51.61/8.31 | | | | | (667) all_4_109 = e20
% 51.61/8.31 | | | | |
% 51.61/8.31 | | | | | REDUCE: (655), (666), (667) imply:
% 51.61/8.31 | | | | | (668) op2(e20, e22) = e23
% 51.61/8.31 | | | | |
% 51.61/8.31 | | | | | REDUCE: (662), (667) imply:
% 51.61/8.31 | | | | | (669) op2(e24, e20) = e22
% 51.61/8.31 | | | | |
% 51.61/8.31 | | | | | REDUCE: (664), (666) imply:
% 51.61/8.31 | | | | | (670) op2(e22, e23) = e24
% 51.61/8.31 | | | | |
% 51.61/8.31 | | | | | REF_CLOSE: (12), (48), (54), (62), (70), (668), (669), (670) are
% 51.61/8.31 | | | | | inconsistent by sub-proof #15.
% 51.61/8.31 | | | | |
% 51.61/8.31 | | | | Case 2:
% 51.61/8.31 | | | | |
% 51.61/8.31 | | | | | (671) ~ (all_4_108 = e24)
% 51.61/8.31 | | | | | (672) all_4_108 = e23 | all_4_108 = e22 | all_4_108 = e20 |
% 51.61/8.31 | | | | | all_4_108 = e21
% 51.61/8.31 | | | | |
% 51.61/8.31 | | | | | BETA: splitting (233) gives:
% 51.61/8.31 | | | | |
% 51.61/8.31 | | | | | Case 1:
% 51.61/8.31 | | | | | |
% 51.61/8.31 | | | | | | (673) all_4_106 = e24
% 51.61/8.31 | | | | | |
% 51.61/8.31 | | | | | | REDUCE: (650), (673) imply:
% 51.61/8.31 | | | | | | (674) op2(e24, all_4_108) = e22
% 51.61/8.31 | | | | | |
% 51.61/8.31 | | | | | | REDUCE: (649), (673) imply:
% 51.61/8.31 | | | | | | (675) op2(e24, e22) = all_4_108
% 51.61/8.31 | | | | | |
% 51.61/8.31 | | | | | | REDUCE: (645), (673) imply:
% 51.61/8.31 | | | | | | (676) op2(e22, e24) = all_4_109
% 51.61/8.31 | | | | | |
% 51.61/8.31 | | | | | | REDUCE: (648), (673) imply:
% 51.61/8.31 | | | | | | (677) op2(e22, all_4_109) = e24
% 51.61/8.31 | | | | | |
% 51.61/8.31 | | | | | | GROUND_INST: instantiating (70) with e23, all_4_109, e24, e22,
% 51.61/8.31 | | | | | | simplifying with (55), (676) gives:
% 51.61/8.31 | | | | | | (678) all_4_109 = e23
% 51.61/8.31 | | | | | |
% 51.61/8.31 | | | | | | GROUND_INST: instantiating (70) with e20, all_4_108, e22, e24,
% 51.61/8.31 | | | | | | simplifying with (63), (675) gives:
% 51.61/8.31 | | | | | | (679) all_4_108 = e20
% 51.61/8.31 | | | | | |
% 51.61/8.31 | | | | | | REDUCE: (653), (678), (679) imply:
% 51.61/8.31 | | | | | | (680) op2(e20, e22) = e23
% 51.61/8.31 | | | | | |
% 51.61/8.31 | | | | | | REDUCE: (674), (679) imply:
% 51.61/8.31 | | | | | | (681) op2(e24, e20) = e22
% 51.61/8.31 | | | | | |
% 51.61/8.31 | | | | | | REDUCE: (677), (678) imply:
% 51.61/8.31 | | | | | | (682) op2(e22, e23) = e24
% 51.61/8.31 | | | | | |
% 51.61/8.31 | | | | | | REF_CLOSE: (12), (48), (54), (62), (70), (680), (681), (682) are
% 51.61/8.31 | | | | | | inconsistent by sub-proof #15.
% 51.61/8.31 | | | | | |
% 51.61/8.31 | | | | | Case 2:
% 51.61/8.31 | | | | | |
% 51.61/8.31 | | | | | | (683) ~ (all_4_106 = e24)
% 51.61/8.31 | | | | | |
% 51.61/8.31 | | | | | | BETA: splitting (235) gives:
% 51.61/8.31 | | | | | |
% 51.61/8.31 | | | | | | Case 1:
% 51.61/8.31 | | | | | | |
% 51.61/8.31 | | | | | | | (684) all_4_104 = e14
% 51.61/8.31 | | | | | | |
% 51.61/8.31 | | | | | | | REDUCE: (200), (684) imply:
% 51.61/8.31 | | | | | | | (685) h(e14) = e20
% 51.61/8.31 | | | | | | |
% 51.61/8.31 | | | | | | | GROUND_INST: instantiating (68) with e22, e20, e14, simplifying
% 51.61/8.31 | | | | | | | with (639), (685) gives:
% 51.61/8.31 | | | | | | | (686) e22 = e20
% 51.61/8.31 | | | | | | |
% 51.61/8.31 | | | | | | | REDUCE: (12), (686) imply:
% 51.61/8.31 | | | | | | | (687) $false
% 51.61/8.31 | | | | | | |
% 51.61/8.31 | | | | | | | CLOSE: (687) is inconsistent.
% 51.61/8.31 | | | | | | |
% 51.61/8.31 | | | | | | Case 2:
% 51.61/8.31 | | | | | | |
% 51.61/8.31 | | | | | | | (688) ~ (all_4_104 = e14)
% 51.61/8.31 | | | | | | |
% 51.61/8.31 | | | | | | | BETA: splitting (232) gives:
% 51.61/8.31 | | | | | | |
% 51.61/8.31 | | | | | | | Case 1:
% 51.61/8.31 | | | | | | | |
% 51.61/8.31 | | | | | | | | (689) all_4_107 = e24
% 51.61/8.32 | | | | | | | |
% 51.61/8.32 | | | | | | | | REDUCE: (652), (689) imply:
% 51.61/8.32 | | | | | | | | (690) op2(e24, all_4_106) = e22
% 51.61/8.32 | | | | | | | |
% 51.61/8.32 | | | | | | | | REDUCE: (651), (689) imply:
% 51.61/8.32 | | | | | | | | (691) op2(e24, e22) = all_4_106
% 51.61/8.32 | | | | | | | |
% 51.61/8.32 | | | | | | | | REDUCE: (646), (689) imply:
% 51.61/8.32 | | | | | | | | (692) op2(e22, e24) = all_4_108
% 51.61/8.32 | | | | | | | |
% 51.61/8.32 | | | | | | | | REDUCE: (647), (689) imply:
% 51.61/8.32 | | | | | | | | (693) op2(e22, all_4_108) = e24
% 51.61/8.32 | | | | | | | |
% 51.61/8.32 | | | | | | | | GROUND_INST: instantiating (70) with e23, all_4_108, e24, e22,
% 51.61/8.32 | | | | | | | | simplifying with (55), (692) gives:
% 51.61/8.32 | | | | | | | | (694) all_4_108 = e23
% 51.61/8.32 | | | | | | | |
% 51.61/8.32 | | | | | | | | GROUND_INST: instantiating (70) with e20, all_4_106, e22, e24,
% 51.61/8.32 | | | | | | | | simplifying with (63), (691) gives:
% 51.61/8.32 | | | | | | | | (695) all_4_106 = e20
% 51.61/8.32 | | | | | | | |
% 51.61/8.32 | | | | | | | | REDUCE: (649), (694), (695) imply:
% 51.61/8.32 | | | | | | | | (696) op2(e20, e22) = e23
% 51.61/8.32 | | | | | | | |
% 51.61/8.32 | | | | | | | | REDUCE: (690), (695) imply:
% 51.61/8.32 | | | | | | | | (697) op2(e24, e20) = e22
% 51.61/8.32 | | | | | | | |
% 51.61/8.32 | | | | | | | | REDUCE: (693), (694) imply:
% 51.61/8.32 | | | | | | | | (698) op2(e22, e23) = e24
% 51.61/8.32 | | | | | | | |
% 51.61/8.32 | | | | | | | | GROUND_INST: instantiating (70) with e24, e23, e22, e20,
% 51.61/8.32 | | | | | | | | simplifying with (48), (696) gives:
% 51.61/8.32 | | | | | | | | (699) e24 = e23
% 51.61/8.32 | | | | | | | |
% 51.61/8.32 | | | | | | | | GROUND_INST: instantiating (70) with e20, e24, e23, e22,
% 51.61/8.32 | | | | | | | | simplifying with (54), (698) gives:
% 51.61/8.32 | | | | | | | | (700) e24 = e20
% 51.61/8.32 | | | | | | | |
% 51.61/8.32 | | | | | | | | GROUND_INST: instantiating (70) with e23, e22, e20, e24,
% 51.61/8.32 | | | | | | | | simplifying with (62), (697) gives:
% 51.61/8.32 | | | | | | | | (701) e23 = e22
% 51.61/8.32 | | | | | | | |
% 51.61/8.32 | | | | | | | | COMBINE_EQS: (699), (700) imply:
% 51.61/8.32 | | | | | | | | (702) e23 = e20
% 51.61/8.32 | | | | | | | |
% 51.61/8.32 | | | | | | | | SIMP: (702) implies:
% 51.61/8.32 | | | | | | | | (703) e23 = e20
% 51.61/8.32 | | | | | | | |
% 51.61/8.32 | | | | | | | | COMBINE_EQS: (701), (703) imply:
% 51.61/8.32 | | | | | | | | (704) e22 = e20
% 51.61/8.32 | | | | | | | |
% 51.61/8.32 | | | | | | | | REDUCE: (12), (704) imply:
% 51.61/8.32 | | | | | | | | (705) $false
% 51.61/8.32 | | | | | | | |
% 51.61/8.32 | | | | | | | | CLOSE: (705) is inconsistent.
% 51.61/8.32 | | | | | | | |
% 51.61/8.32 | | | | | | | Case 2:
% 51.61/8.32 | | | | | | | |
% 51.61/8.32 | | | | | | | | (706) ~ (all_4_107 = e24)
% 51.61/8.32 | | | | | | | | (707) all_4_107 = e23 | all_4_107 = e22 | all_4_107 = e20 |
% 51.61/8.32 | | | | | | | | all_4_107 = e21
% 51.61/8.32 | | | | | | | |
% 51.61/8.32 | | | | | | | | BETA: splitting (637) gives:
% 51.61/8.32 | | | | | | | |
% 51.61/8.32 | | | | | | | | Case 1:
% 51.61/8.32 | | | | | | | | |
% 51.61/8.32 | | | | | | | | | (708) all_4_109 = e23
% 51.61/8.32 | | | | | | | | |
% 51.61/8.32 | | | | | | | | | REDUCE: (655), (708) imply:
% 51.61/8.32 | | | | | | | | | (709) op2(e23, e22) = all_4_107
% 51.61/8.32 | | | | | | | | |
% 51.61/8.32 | | | | | | | | | GROUND_INST: instantiating (70) with e21, all_4_107, e22, e23,
% 51.61/8.32 | | | | | | | | | simplifying with (58), (709) gives:
% 51.61/8.32 | | | | | | | | | (710) all_4_107 = e21
% 51.61/8.32 | | | | | | | | |
% 51.61/8.32 | | | | | | | | | REDUCE: (646), (710) imply:
% 51.61/8.32 | | | | | | | | | (711) op2(e22, e21) = all_4_108
% 51.61/8.32 | | | | | | | | |
% 51.61/8.32 | | | | | | | | | REF_CLOSE: (51), (70), (671), (711) are inconsistent by
% 51.61/8.32 | | | | | | | | | sub-proof #14.
% 51.61/8.32 | | | | | | | | |
% 51.61/8.32 | | | | | | | | Case 2:
% 51.61/8.32 | | | | | | | | |
% 51.61/8.32 | | | | | | | | | (712) ~ (all_4_109 = e23)
% 51.61/8.32 | | | | | | | | | (713) all_4_109 = e22 | all_4_109 = e20 | all_4_109 = e21
% 51.61/8.32 | | | | | | | | |
% 51.61/8.32 | | | | | | | | | BETA: splitting (660) gives:
% 51.61/8.32 | | | | | | | | |
% 51.61/8.32 | | | | | | | | | Case 1:
% 51.61/8.32 | | | | | | | | | |
% 51.61/8.32 | | | | | | | | | | (714) all_4_101 = e13
% 51.61/8.32 | | | | | | | | | |
% 51.61/8.32 | | | | | | | | | | REDUCE: (640), (714) imply:
% 51.61/8.32 | | | | | | | | | | (715) op1(e13, e14) = all_4_103
% 51.61/8.32 | | | | | | | | | |
% 51.61/8.32 | | | | | | | | | | REDUCE: (643), (714) imply:
% 51.61/8.32 | | | | | | | | | | (716) op1(all_4_103, e14) = e13
% 51.61/8.32 | | | | | | | | | |
% 51.61/8.32 | | | | | | | | | | REDUCE: (641), (714) imply:
% 51.61/8.32 | | | | | | | | | | (717) op1(e14, e13) = all_4_104
% 51.61/8.32 | | | | | | | | | |
% 51.61/8.32 | | | | | | | | | | GROUND_INST: instantiating (69) with e11, all_4_103, e14, e13,
% 51.61/8.32 | | | | | | | | | | simplifying with (35), (715) gives:
% 51.61/8.32 | | | | | | | | | | (718) all_4_103 = e11
% 51.61/8.32 | | | | | | | | | |
% 51.61/8.32 | | | | | | | | | | GROUND_INST: instantiating (69) with e10, all_4_104, e13, e14,
% 51.61/8.32 | | | | | | | | | | simplifying with (39), (717) gives:
% 51.61/8.32 | | | | | | | | | | (719) all_4_104 = e10
% 51.61/8.32 | | | | | | | | | |
% 51.61/8.32 | | | | | | | | | | REDUCE: (716), (718) imply:
% 51.61/8.32 | | | | | | | | | | (720) op1(e11, e14) = e13
% 51.61/8.32 | | | | | | | | | |
% 51.61/8.32 | | | | | | | | | | REDUCE: (642), (718), (719) imply:
% 51.61/8.32 | | | | | | | | | | (721) op1(e14, e10) = e11
% 51.61/8.32 | | | | | | | | | |
% 51.61/8.32 | | | | | | | | | | REF_CLOSE: (1), (20), (37), (69), (720), (721) are
% 51.61/8.32 | | | | | | | | | | inconsistent by sub-proof #13.
% 51.61/8.32 | | | | | | | | | |
% 51.61/8.32 | | | | | | | | | Case 2:
% 51.61/8.32 | | | | | | | | | |
% 51.61/8.32 | | | | | | | | | | (722) all_4_101 = e12 | all_4_101 = e10 | all_4_101 = e11
% 51.61/8.32 | | | | | | | | | |
% 51.61/8.32 | | | | | | | | | | BETA: splitting (672) gives:
% 51.61/8.32 | | | | | | | | | |
% 51.61/8.32 | | | | | | | | | | Case 1:
% 51.61/8.32 | | | | | | | | | | |
% 51.61/8.32 | | | | | | | | | | | (723) all_4_108 = e23
% 51.61/8.32 | | | | | | | | | | |
% 51.61/8.32 | | | | | | | | | | | REDUCE: (496), (723) imply:
% 51.61/8.32 | | | | | | | | | | | (724) op2(e23, all_4_107) = all_4_106
% 51.61/8.32 | | | | | | | | | | |
% 51.61/8.32 | | | | | | | | | | | REDUCE: (647), (723) imply:
% 51.61/8.32 | | | | | | | | | | | (725) op2(e22, e23) = all_4_107
% 51.61/8.32 | | | | | | | | | | |
% 51.61/8.32 | | | | | | | | | | | GROUND_INST: instantiating (70) with e20, all_4_107, e23, e22,
% 51.61/8.32 | | | | | | | | | | | simplifying with (54), (725) gives:
% 51.61/8.32 | | | | | | | | | | | (726) all_4_107 = e20
% 51.61/8.32 | | | | | | | | | | |
% 51.61/8.32 | | | | | | | | | | | REDUCE: (724), (726) imply:
% 51.61/8.32 | | | | | | | | | | | (727) op2(e23, e20) = all_4_106
% 51.61/8.32 | | | | | | | | | | |
% 51.61/8.32 | | | | | | | | | | | REF_CLOSE: (57), (70), (683), (727) are inconsistent by
% 51.61/8.32 | | | | | | | | | | | sub-proof #12.
% 51.61/8.32 | | | | | | | | | | |
% 51.61/8.32 | | | | | | | | | | Case 2:
% 51.61/8.32 | | | | | | | | | | |
% 51.61/8.32 | | | | | | | | | | | (728) ~ (all_4_108 = e23)
% 51.61/8.33 | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | BETA: splitting (707) gives:
% 51.61/8.33 | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | Case 1:
% 51.61/8.33 | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | (729) all_4_107 = e23
% 51.61/8.33 | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | REDUCE: (651), (729) imply:
% 51.61/8.33 | | | | | | | | | | | | (730) op2(e23, e22) = all_4_106
% 51.61/8.33 | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | GROUND_INST: instantiating (70) with e21, all_4_106, e22, e23,
% 51.61/8.33 | | | | | | | | | | | | simplifying with (58), (730) gives:
% 51.61/8.33 | | | | | | | | | | | | (731) all_4_106 = e21
% 51.61/8.33 | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | REDUCE: (645), (731) imply:
% 51.61/8.33 | | | | | | | | | | | | (732) op2(e22, e21) = all_4_109
% 51.61/8.33 | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | REF_CLOSE: (51), (70), (636), (732) are inconsistent by
% 51.61/8.33 | | | | | | | | | | | | sub-proof #11.
% 51.61/8.33 | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | Case 2:
% 51.61/8.33 | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | (733) ~ (all_4_107 = e23)
% 51.61/8.33 | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | BETA: splitting (713) gives:
% 51.61/8.33 | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | Case 1:
% 51.61/8.33 | | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | | (734) all_4_109 = e22
% 51.61/8.33 | | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | | REF_CLOSE: (23), (67), (68), (69), (162), (165), (195),
% 51.61/8.33 | | | | | | | | | | | | | (202), (203), (510), (688), (712), (722), (728),
% 51.61/8.33 | | | | | | | | | | | | | (734) are inconsistent by sub-proof #10.
% 51.61/8.33 | | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | Case 2:
% 51.61/8.33 | | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | | (735) all_4_109 = e20 | all_4_109 = e21
% 51.61/8.33 | | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | | BETA: splitting (735) gives:
% 51.61/8.33 | | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | | Case 1:
% 51.61/8.33 | | | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | | | (736) all_4_109 = e20
% 51.61/8.33 | | | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | | | REDUCE: (655), (736) imply:
% 51.61/8.33 | | | | | | | | | | | | | | (737) op2(e20, e22) = all_4_107
% 51.61/8.33 | | | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e24, all_4_107, e22, e20,
% 51.61/8.33 | | | | | | | | | | | | | | simplifying with (48), (737) gives:
% 51.61/8.33 | | | | | | | | | | | | | | (738) all_4_107 = e24
% 51.61/8.33 | | | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | | | REDUCE: (706), (738) imply:
% 51.61/8.33 | | | | | | | | | | | | | | (739) $false
% 51.61/8.33 | | | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | | | CLOSE: (739) is inconsistent.
% 51.61/8.33 | | | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | | Case 2:
% 51.61/8.33 | | | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | | | (740) all_4_109 = e21
% 51.61/8.33 | | | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | | | REDUCE: (655), (740) imply:
% 51.61/8.33 | | | | | | | | | | | | | | (741) op2(e21, e22) = all_4_107
% 51.61/8.33 | | | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e23, all_4_107, e22, e21,
% 51.61/8.33 | | | | | | | | | | | | | | simplifying with (43), (741) gives:
% 51.61/8.33 | | | | | | | | | | | | | | (742) all_4_107 = e23
% 51.61/8.33 | | | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | | | REDUCE: (733), (742) imply:
% 51.61/8.33 | | | | | | | | | | | | | | (743) $false
% 51.61/8.33 | | | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | | | CLOSE: (743) is inconsistent.
% 51.61/8.33 | | | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | | End of split
% 51.61/8.33 | | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | | End of split
% 51.61/8.33 | | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | | End of split
% 51.61/8.33 | | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | | End of split
% 51.61/8.33 | | | | | | | | | |
% 51.61/8.33 | | | | | | | | | End of split
% 51.61/8.33 | | | | | | | | |
% 51.61/8.33 | | | | | | | | End of split
% 51.61/8.33 | | | | | | | |
% 51.61/8.33 | | | | | | | End of split
% 51.61/8.33 | | | | | | |
% 51.61/8.33 | | | | | | End of split
% 51.61/8.33 | | | | | |
% 51.61/8.33 | | | | | End of split
% 51.61/8.33 | | | | |
% 51.61/8.33 | | | | End of split
% 51.61/8.33 | | | |
% 51.61/8.33 | | | End of split
% 51.61/8.33 | | |
% 51.61/8.33 | | Case 2:
% 51.61/8.33 | | |
% 51.61/8.33 | | | (744) ~ (all_4_102 = e14)
% 51.61/8.33 | | | (745) all_4_102 = e13 | all_4_102 = e12 | all_4_102 = e10 | all_4_102 =
% 51.61/8.33 | | | e11
% 51.61/8.33 | | |
% 51.61/8.33 | | | BETA: splitting (238) gives:
% 51.61/8.33 | | |
% 51.61/8.33 | | | Case 1:
% 51.61/8.33 | | | |
% 51.61/8.33 | | | | (746) all_4_101 = e14
% 51.61/8.33 | | | |
% 51.61/8.33 | | | | REDUCE: (203), (746) imply:
% 51.61/8.33 | | | | (747) h(e14) = e23
% 51.61/8.33 | | | |
% 51.61/8.33 | | | | GROUND_INST: instantiating (68) with all_4_105, e23, e14, simplifying
% 51.61/8.33 | | | | with (199), (747) gives:
% 51.61/8.33 | | | | (748) all_4_105 = e23
% 51.61/8.33 | | | |
% 51.61/8.33 | | | | REDUCE: (482), (748) imply:
% 51.61/8.33 | | | | (749) op2(e23, all_4_106) = all_4_109
% 51.61/8.33 | | | |
% 51.61/8.33 | | | | REDUCE: (483), (748) imply:
% 51.61/8.33 | | | | (750) op2(e23, all_4_107) = all_4_108
% 51.61/8.33 | | | |
% 51.61/8.33 | | | | REDUCE: (484), (748) imply:
% 51.61/8.33 | | | | (751) op2(e23, all_4_108) = all_4_107
% 51.61/8.33 | | | |
% 51.61/8.33 | | | | REDUCE: (485), (748) imply:
% 51.61/8.33 | | | | (752) op2(e23, all_4_109) = all_4_106
% 51.61/8.33 | | | |
% 51.61/8.33 | | | | REDUCE: (486), (748) imply:
% 51.61/8.33 | | | | (753) op2(all_4_106, e23) = all_4_108
% 51.61/8.33 | | | |
% 51.61/8.33 | | | | REDUCE: (488), (748) imply:
% 51.61/8.33 | | | | (754) op2(all_4_106, all_4_108) = e23
% 51.61/8.33 | | | |
% 51.61/8.33 | | | | REDUCE: (490), (748) imply:
% 51.61/8.33 | | | | (755) op2(all_4_107, e23) = all_4_106
% 51.61/8.33 | | | |
% 51.61/8.33 | | | | REDUCE: (491), (748) imply:
% 51.61/8.33 | | | | (756) op2(all_4_107, all_4_106) = e23
% 51.61/8.33 | | | |
% 51.61/8.33 | | | | REDUCE: (494), (748) imply:
% 51.61/8.33 | | | | (757) op2(all_4_108, e23) = all_4_109
% 51.61/8.33 | | | |
% 51.61/8.33 | | | | REDUCE: (497), (748) imply:
% 51.61/8.33 | | | | (758) op2(all_4_108, all_4_109) = e23
% 51.61/8.33 | | | |
% 51.61/8.33 | | | | REDUCE: (498), (748) imply:
% 51.61/8.33 | | | | (759) op2(all_4_109, e23) = all_4_107
% 51.61/8.33 | | | |
% 51.61/8.33 | | | | BETA: splitting (231) gives:
% 51.61/8.33 | | | |
% 51.61/8.33 | | | | Case 1:
% 51.61/8.33 | | | | |
% 51.61/8.33 | | | | | (760) all_4_108 = e24
% 51.61/8.33 | | | | |
% 51.61/8.33 | | | | | REDUCE: (492), (760) imply:
% 51.61/8.33 | | | | | (761) op2(all_4_107, e24) = all_4_109
% 51.61/8.33 | | | | |
% 51.61/8.33 | | | | | REDUCE: (758), (760) imply:
% 51.61/8.33 | | | | | (762) op2(e24, all_4_109) = e23
% 51.61/8.33 | | | | |
% 51.61/8.33 | | | | | REDUCE: (757), (760) imply:
% 51.61/8.33 | | | | | (763) op2(e24, e23) = all_4_109
% 51.61/8.33 | | | | |
% 51.61/8.33 | | | | | REDUCE: (751), (760) imply:
% 51.61/8.33 | | | | | (764) op2(e23, e24) = all_4_107
% 51.61/8.33 | | | | |
% 51.61/8.33 | | | | | GROUND_INST: instantiating (70) with e22, all_4_107, e24, e23,
% 51.61/8.33 | | | | | simplifying with (60), (764) gives:
% 51.61/8.33 | | | | | (765) all_4_107 = e22
% 51.61/8.33 | | | | |
% 51.61/8.33 | | | | | GROUND_INST: instantiating (70) with e21, all_4_109, e23, e24,
% 51.61/8.33 | | | | | simplifying with (64), (763) gives:
% 51.61/8.33 | | | | | (766) all_4_109 = e21
% 51.61/8.33 | | | | |
% 51.61/8.33 | | | | | REDUCE: (761), (765), (766) imply:
% 51.61/8.33 | | | | | (767) op2(e22, e24) = e21
% 51.61/8.33 | | | | |
% 51.61/8.33 | | | | | REDUCE: (762), (766) imply:
% 51.61/8.33 | | | | | (768) op2(e24, e21) = e23
% 51.61/8.33 | | | | |
% 51.61/8.33 | | | | | REF_CLOSE: (11), (55), (61), (70), (767), (768) are inconsistent by
% 51.61/8.33 | | | | | sub-proof #21.
% 51.61/8.33 | | | | |
% 51.61/8.34 | | | | Case 2:
% 51.61/8.34 | | | | |
% 51.61/8.34 | | | | | (769) ~ (all_4_108 = e24)
% 51.61/8.34 | | | | | (770) all_4_108 = e23 | all_4_108 = e22 | all_4_108 = e20 |
% 51.61/8.34 | | | | | all_4_108 = e21
% 51.61/8.34 | | | | |
% 51.61/8.34 | | | | | BETA: splitting (233) gives:
% 51.61/8.34 | | | | |
% 51.61/8.34 | | | | | Case 1:
% 51.61/8.34 | | | | | |
% 51.61/8.34 | | | | | | (771) all_4_106 = e24
% 51.61/8.34 | | | | | |
% 51.61/8.34 | | | | | | REDUCE: (754), (771) imply:
% 51.61/8.34 | | | | | | (772) op2(e24, all_4_108) = e23
% 51.61/8.34 | | | | | |
% 51.61/8.34 | | | | | | REDUCE: (753), (771) imply:
% 51.61/8.34 | | | | | | (773) op2(e24, e23) = all_4_108
% 51.61/8.34 | | | | | |
% 51.61/8.34 | | | | | | REDUCE: (499), (771) imply:
% 51.61/8.34 | | | | | | (774) op2(all_4_109, e24) = all_4_108
% 51.61/8.34 | | | | | |
% 51.61/8.34 | | | | | | REDUCE: (749), (771) imply:
% 51.61/8.34 | | | | | | (775) op2(e23, e24) = all_4_109
% 51.61/8.34 | | | | | |
% 51.61/8.34 | | | | | | GROUND_INST: instantiating (70) with e22, all_4_109, e24, e23,
% 51.61/8.34 | | | | | | simplifying with (60), (775) gives:
% 51.61/8.34 | | | | | | (776) all_4_109 = e22
% 51.61/8.34 | | | | | |
% 51.61/8.34 | | | | | | GROUND_INST: instantiating (70) with e21, all_4_108, e23, e24,
% 51.61/8.34 | | | | | | simplifying with (64), (773) gives:
% 51.61/8.34 | | | | | | (777) all_4_108 = e21
% 51.61/8.34 | | | | | |
% 51.61/8.34 | | | | | | REDUCE: (774), (776), (777) imply:
% 51.61/8.34 | | | | | | (778) op2(e22, e24) = e21
% 51.61/8.34 | | | | | |
% 51.61/8.34 | | | | | | REDUCE: (772), (777) imply:
% 51.61/8.34 | | | | | | (779) op2(e24, e21) = e23
% 51.61/8.34 | | | | | |
% 51.61/8.34 | | | | | | REF_CLOSE: (11), (55), (61), (70), (778), (779) are inconsistent by
% 51.61/8.34 | | | | | | sub-proof #21.
% 51.61/8.34 | | | | | |
% 51.61/8.34 | | | | | Case 2:
% 51.61/8.34 | | | | | |
% 51.61/8.34 | | | | | | (780) ~ (all_4_106 = e24)
% 51.61/8.34 | | | | | |
% 51.61/8.34 | | | | | | BETA: splitting (239) gives:
% 51.61/8.34 | | | | | |
% 51.61/8.34 | | | | | | Case 1:
% 51.61/8.34 | | | | | | |
% 51.61/8.34 | | | | | | | (781) all_4_100 = e14
% 51.61/8.34 | | | | | | |
% 51.61/8.34 | | | | | | | REDUCE: (204), (781) imply:
% 51.61/8.34 | | | | | | | (782) h(e14) = e24
% 51.61/8.34 | | | | | | |
% 51.61/8.34 | | | | | | | GROUND_INST: instantiating (68) with e23, e24, e14, simplifying
% 51.61/8.34 | | | | | | | with (747), (782) gives:
% 51.61/8.34 | | | | | | | (783) e24 = e23
% 51.61/8.34 | | | | | | |
% 51.61/8.34 | | | | | | | REDUCE: (15), (783) imply:
% 51.61/8.34 | | | | | | | (784) $false
% 51.61/8.34 | | | | | | |
% 51.61/8.34 | | | | | | | CLOSE: (784) is inconsistent.
% 51.61/8.34 | | | | | | |
% 51.61/8.34 | | | | | | Case 2:
% 51.61/8.34 | | | | | | |
% 51.61/8.34 | | | | | | | (785) ~ (all_4_100 = e14)
% 51.61/8.34 | | | | | | |
% 51.61/8.34 | | | | | | | BETA: splitting (232) gives:
% 51.61/8.34 | | | | | | |
% 51.61/8.34 | | | | | | | Case 1:
% 51.61/8.34 | | | | | | | |
% 51.61/8.34 | | | | | | | | (786) all_4_107 = e24
% 51.61/8.34 | | | | | | | |
% 51.61/8.34 | | | | | | | | REDUCE: (756), (786) imply:
% 51.61/8.34 | | | | | | | | (787) op2(e24, all_4_106) = e23
% 51.61/8.34 | | | | | | | |
% 51.61/8.34 | | | | | | | | REDUCE: (755), (786) imply:
% 51.61/8.34 | | | | | | | | (788) op2(e24, e23) = all_4_106
% 51.61/8.34 | | | | | | | |
% 51.61/8.34 | | | | | | | | REDUCE: (496), (786) imply:
% 51.61/8.34 | | | | | | | | (789) op2(all_4_108, e24) = all_4_106
% 51.61/8.34 | | | | | | | |
% 51.61/8.34 | | | | | | | | REDUCE: (750), (786) imply:
% 51.61/8.34 | | | | | | | | (790) op2(e23, e24) = all_4_108
% 51.61/8.34 | | | | | | | |
% 51.61/8.34 | | | | | | | | GROUND_INST: instantiating (70) with e22, all_4_108, e24, e23,
% 51.61/8.34 | | | | | | | | simplifying with (60), (790) gives:
% 51.61/8.34 | | | | | | | | (791) all_4_108 = e22
% 51.61/8.34 | | | | | | | |
% 51.61/8.34 | | | | | | | | GROUND_INST: instantiating (70) with e21, all_4_106, e23, e24,
% 51.61/8.34 | | | | | | | | simplifying with (64), (788) gives:
% 51.61/8.34 | | | | | | | | (792) all_4_106 = e21
% 51.61/8.34 | | | | | | | |
% 51.61/8.34 | | | | | | | | REDUCE: (789), (791), (792) imply:
% 51.61/8.34 | | | | | | | | (793) op2(e22, e24) = e21
% 51.61/8.34 | | | | | | | |
% 51.61/8.34 | | | | | | | | REDUCE: (787), (792) imply:
% 51.61/8.34 | | | | | | | | (794) op2(e24, e21) = e23
% 51.61/8.34 | | | | | | | |
% 51.61/8.34 | | | | | | | | REF_CLOSE: (11), (55), (61), (70), (793), (794) are inconsistent
% 51.61/8.34 | | | | | | | | by sub-proof #21.
% 51.61/8.34 | | | | | | | |
% 51.61/8.34 | | | | | | | Case 2:
% 51.61/8.34 | | | | | | | |
% 51.61/8.34 | | | | | | | | (795) ~ (all_4_107 = e24)
% 51.61/8.34 | | | | | | | |
% 51.61/8.34 | | | | | | | | BETA: splitting (236) gives:
% 51.61/8.34 | | | | | | | |
% 51.61/8.34 | | | | | | | | Case 1:
% 51.61/8.34 | | | | | | | | |
% 51.61/8.34 | | | | | | | | | (796) all_4_103 = e14
% 51.61/8.34 | | | | | | | | |
% 51.61/8.34 | | | | | | | | | REDUCE: (201), (796) imply:
% 51.61/8.34 | | | | | | | | | (797) h(e14) = e21
% 51.61/8.34 | | | | | | | | |
% 51.61/8.34 | | | | | | | | | GROUND_INST: instantiating (68) with e23, e21, e14, simplifying
% 51.61/8.34 | | | | | | | | | with (747), (797) gives:
% 51.61/8.34 | | | | | | | | | (798) e23 = e21
% 51.61/8.34 | | | | | | | | |
% 51.61/8.34 | | | | | | | | | REDUCE: (13), (798) imply:
% 51.61/8.34 | | | | | | | | | (799) $false
% 51.61/8.34 | | | | | | | | |
% 51.61/8.34 | | | | | | | | | CLOSE: (799) is inconsistent.
% 51.61/8.34 | | | | | | | | |
% 51.61/8.34 | | | | | | | | Case 2:
% 51.61/8.34 | | | | | | | | |
% 51.61/8.34 | | | | | | | | | (800) ~ (all_4_103 = e14)
% 51.61/8.34 | | | | | | | | |
% 51.61/8.34 | | | | | | | | | BETA: splitting (637) gives:
% 51.61/8.34 | | | | | | | | |
% 51.61/8.34 | | | | | | | | | Case 1:
% 51.61/8.34 | | | | | | | | | |
% 51.61/8.34 | | | | | | | | | | (801) all_4_109 = e23
% 51.61/8.34 | | | | | | | | | |
% 51.61/8.34 | | | | | | | | | | REDUCE: (165), (801) imply:
% 51.61/8.34 | | | | | | | | | | (802) j(e23) = e10
% 51.61/8.34 | | | | | | | | | |
% 51.61/8.34 | | | | | | | | | | REDUCE: (501), (801) imply:
% 51.61/8.34 | | | | | | | | | | (803) op2(e23, all_4_108) = all_4_106
% 51.61/8.34 | | | | | | | | | |
% 51.61/8.34 | | | | | | | | | | REF_CLOSE: (1), (14), (23), (32), (51), (58), (67), (68),
% 51.61/8.34 | | | | | | | | | | (69), (70), (163), (166), (195), (202), (203),
% 51.61/8.34 | | | | | | | | | | (495), (507), (508), (510), (745), (770), (785),
% 51.61/8.34 | | | | | | | | | | (795), (800), (802), (803) are inconsistent by
% 51.61/8.34 | | | | | | | | | | sub-proof #8.
% 51.61/8.34 | | | | | | | | | |
% 51.61/8.34 | | | | | | | | | Case 2:
% 51.61/8.34 | | | | | | | | | |
% 51.61/8.34 | | | | | | | | | | (804) all_4_109 = e22 | all_4_109 = e20 | all_4_109 = e21
% 51.61/8.34 | | | | | | | | | |
% 51.61/8.34 | | | | | | | | | | BETA: splitting (804) gives:
% 51.61/8.34 | | | | | | | | | |
% 51.61/8.34 | | | | | | | | | | Case 1:
% 51.61/8.34 | | | | | | | | | | |
% 51.61/8.34 | | | | | | | | | | | (805) all_4_109 = e22
% 51.61/8.34 | | | | | | | | | | |
% 51.61/8.34 | | | | | | | | | | | REDUCE: (499), (805) imply:
% 51.61/8.34 | | | | | | | | | | | (806) op2(e22, all_4_106) = all_4_108
% 51.61/8.34 | | | | | | | | | | |
% 51.61/8.34 | | | | | | | | | | | REDUCE: (752), (805) imply:
% 51.61/8.34 | | | | | | | | | | | (807) op2(e23, e22) = all_4_106
% 51.61/8.34 | | | | | | | | | | |
% 51.61/8.34 | | | | | | | | | | | GROUND_INST: instantiating (70) with e21, all_4_106, e22, e23,
% 51.61/8.34 | | | | | | | | | | | simplifying with (58), (807) gives:
% 51.61/8.34 | | | | | | | | | | | (808) all_4_106 = e21
% 51.61/8.34 | | | | | | | | | | |
% 51.61/8.34 | | | | | | | | | | | REDUCE: (806), (808) imply:
% 51.61/8.34 | | | | | | | | | | | (809) op2(e22, e21) = all_4_108
% 51.61/8.34 | | | | | | | | | | |
% 51.61/8.34 | | | | | | | | | | | REF_CLOSE: (51), (70), (769), (809) are inconsistent by
% 51.61/8.34 | | | | | | | | | | | sub-proof #14.
% 51.61/8.34 | | | | | | | | | | |
% 51.61/8.34 | | | | | | | | | | Case 2:
% 51.61/8.34 | | | | | | | | | | |
% 51.61/8.35 | | | | | | | | | | | (810) all_4_109 = e20 | all_4_109 = e21
% 51.61/8.35 | | | | | | | | | | |
% 51.61/8.35 | | | | | | | | | | | BETA: splitting (810) gives:
% 51.61/8.35 | | | | | | | | | | |
% 51.61/8.35 | | | | | | | | | | | Case 1:
% 51.61/8.35 | | | | | | | | | | | |
% 51.61/8.35 | | | | | | | | | | | | (811) all_4_109 = e20
% 51.61/8.35 | | | | | | | | | | | |
% 51.61/8.35 | | | | | | | | | | | | REDUCE: (752), (811) imply:
% 51.61/8.35 | | | | | | | | | | | | (812) op2(e23, e20) = all_4_106
% 51.61/8.35 | | | | | | | | | | | |
% 51.61/8.35 | | | | | | | | | | | | REF_CLOSE: (57), (70), (780), (812) are inconsistent by
% 51.61/8.35 | | | | | | | | | | | | sub-proof #12.
% 51.61/8.35 | | | | | | | | | | | |
% 51.61/8.35 | | | | | | | | | | | Case 2:
% 51.61/8.35 | | | | | | | | | | | |
% 51.61/8.35 | | | | | | | | | | | | (813) all_4_109 = e21
% 51.61/8.35 | | | | | | | | | | | |
% 51.61/8.35 | | | | | | | | | | | | REDUCE: (759), (813) imply:
% 51.61/8.35 | | | | | | | | | | | | (814) op2(e21, e23) = all_4_107
% 51.61/8.35 | | | | | | | | | | | |
% 51.61/8.35 | | | | | | | | | | | | GROUND_INST: instantiating (70) with e24, all_4_107, e23, e21,
% 51.61/8.35 | | | | | | | | | | | | simplifying with (44), (814) gives:
% 51.61/8.35 | | | | | | | | | | | | (815) all_4_107 = e24
% 51.61/8.35 | | | | | | | | | | | |
% 51.61/8.35 | | | | | | | | | | | | REDUCE: (795), (815) imply:
% 51.61/8.35 | | | | | | | | | | | | (816) $false
% 51.61/8.35 | | | | | | | | | | | |
% 51.61/8.35 | | | | | | | | | | | | CLOSE: (816) is inconsistent.
% 51.61/8.35 | | | | | | | | | | | |
% 51.61/8.35 | | | | | | | | | | | End of split
% 51.61/8.35 | | | | | | | | | | |
% 51.61/8.35 | | | | | | | | | | End of split
% 51.61/8.35 | | | | | | | | | |
% 51.61/8.35 | | | | | | | | | End of split
% 51.61/8.35 | | | | | | | | |
% 51.61/8.35 | | | | | | | | End of split
% 51.61/8.35 | | | | | | | |
% 51.61/8.35 | | | | | | | End of split
% 51.61/8.35 | | | | | | |
% 51.61/8.35 | | | | | | End of split
% 51.61/8.35 | | | | | |
% 51.61/8.35 | | | | | End of split
% 51.61/8.35 | | | | |
% 51.61/8.35 | | | | End of split
% 51.61/8.35 | | | |
% 51.61/8.35 | | | Case 2:
% 51.61/8.35 | | | |
% 51.61/8.35 | | | | (817) ~ (all_4_101 = e14)
% 51.61/8.35 | | | | (818) all_4_101 = e13 | all_4_101 = e12 | all_4_101 = e10 | all_4_101
% 51.61/8.35 | | | | = e11
% 51.61/8.35 | | | |
% 51.61/8.35 | | | | BETA: splitting (231) gives:
% 51.61/8.35 | | | |
% 51.61/8.35 | | | | Case 1:
% 51.61/8.35 | | | | |
% 51.61/8.35 | | | | | (819) all_4_108 = e24
% 51.61/8.35 | | | | |
% 51.61/8.35 | | | | | REDUCE: (166), (819) imply:
% 51.61/8.35 | | | | | (820) j(e24) = e11
% 51.61/8.35 | | | | |
% 51.61/8.35 | | | | | REDUCE: (484), (819) imply:
% 51.61/8.35 | | | | | (821) op2(all_4_105, e24) = all_4_107
% 51.61/8.35 | | | | |
% 51.61/8.35 | | | | | REDUCE: (488), (819) imply:
% 51.61/8.35 | | | | | (822) op2(all_4_106, e24) = all_4_105
% 51.61/8.35 | | | | |
% 51.61/8.35 | | | | | REDUCE: (492), (819) imply:
% 51.61/8.35 | | | | | (823) op2(all_4_107, e24) = all_4_109
% 51.61/8.35 | | | | |
% 51.61/8.35 | | | | | REDUCE: (494), (819) imply:
% 51.61/8.35 | | | | | (824) op2(e24, all_4_105) = all_4_109
% 51.61/8.35 | | | | |
% 51.61/8.35 | | | | | REDUCE: (495), (819) imply:
% 51.61/8.35 | | | | | (825) op2(e24, all_4_106) = all_4_107
% 51.61/8.35 | | | | |
% 51.61/8.35 | | | | | REDUCE: (496), (819) imply:
% 51.61/8.35 | | | | | (826) op2(e24, all_4_107) = all_4_106
% 51.61/8.35 | | | | |
% 51.61/8.35 | | | | | REDUCE: (497), (819) imply:
% 51.61/8.35 | | | | | (827) op2(e24, all_4_109) = all_4_105
% 51.61/8.35 | | | | |
% 51.61/8.35 | | | | | REDUCE: (501), (819) imply:
% 51.61/8.35 | | | | | (828) op2(all_4_109, e24) = all_4_106
% 51.61/8.35 | | | | |
% 51.61/8.35 | | | | | GROUND_INST: instantiating (67) with all_4_100, e11, e24, simplifying
% 51.61/8.35 | | | | | with (164), (820) gives:
% 51.61/8.35 | | | | | (829) all_4_100 = e11
% 51.61/8.35 | | | | |
% 51.61/8.35 | | | | | REDUCE: (506), (829) imply:
% 51.61/8.35 | | | | | (830) op1(all_4_101, e11) = all_4_102
% 51.61/8.35 | | | | |
% 51.61/8.35 | | | | | BETA: splitting (232) gives:
% 51.61/8.35 | | | | |
% 51.61/8.35 | | | | | Case 1:
% 51.61/8.35 | | | | | |
% 51.61/8.35 | | | | | | (831) all_4_107 = e24
% 51.61/8.35 | | | | | |
% 51.61/8.35 | | | | | | REDUCE: (167), (831) imply:
% 51.61/8.35 | | | | | | (832) j(e24) = e12
% 51.61/8.35 | | | | | |
% 51.61/8.35 | | | | | | GROUND_INST: instantiating (67) with e11, e12, e24, simplifying with
% 51.61/8.35 | | | | | | (820), (832) gives:
% 51.61/8.35 | | | | | | (833) e12 = e11
% 51.61/8.35 | | | | | |
% 51.61/8.35 | | | | | | REDUCE: (2), (833) imply:
% 51.61/8.35 | | | | | | (834) $false
% 51.61/8.35 | | | | | |
% 51.61/8.35 | | | | | | CLOSE: (834) is inconsistent.
% 51.61/8.35 | | | | | |
% 51.61/8.35 | | | | | Case 2:
% 51.61/8.35 | | | | | |
% 51.61/8.35 | | | | | | (835) all_4_107 = e23 | all_4_107 = e22 | all_4_107 = e20 |
% 51.61/8.35 | | | | | | all_4_107 = e21
% 51.61/8.35 | | | | | |
% 51.61/8.35 | | | | | | BETA: splitting (233) gives:
% 51.61/8.35 | | | | | |
% 51.61/8.35 | | | | | | Case 1:
% 51.61/8.35 | | | | | | |
% 51.61/8.35 | | | | | | | (836) all_4_106 = e24
% 51.61/8.35 | | | | | | |
% 51.61/8.35 | | | | | | | REDUCE: (168), (836) imply:
% 51.61/8.35 | | | | | | | (837) j(e24) = e13
% 51.61/8.35 | | | | | | |
% 51.61/8.35 | | | | | | | GROUND_INST: instantiating (67) with e11, e13, e24, simplifying
% 51.61/8.35 | | | | | | | with (820), (837) gives:
% 51.61/8.35 | | | | | | | (838) e13 = e11
% 51.61/8.35 | | | | | | |
% 51.61/8.35 | | | | | | | REDUCE: (4), (838) imply:
% 51.61/8.35 | | | | | | | (839) $false
% 51.61/8.35 | | | | | | |
% 51.61/8.35 | | | | | | | CLOSE: (839) is inconsistent.
% 51.61/8.35 | | | | | | |
% 51.61/8.35 | | | | | | Case 2:
% 51.61/8.35 | | | | | | |
% 51.61/8.35 | | | | | | | (840) all_4_106 = e23 | all_4_106 = e22 | all_4_106 = e20 |
% 51.61/8.35 | | | | | | | all_4_106 = e21
% 51.61/8.35 | | | | | | |
% 51.61/8.35 | | | | | | | BETA: splitting (234) gives:
% 51.61/8.35 | | | | | | |
% 51.61/8.35 | | | | | | | Case 1:
% 51.61/8.35 | | | | | | | |
% 51.61/8.35 | | | | | | | | (841) all_4_105 = e24
% 51.61/8.35 | | | | | | | |
% 51.61/8.35 | | | | | | | | REDUCE: (169), (841) imply:
% 51.61/8.35 | | | | | | | | (842) j(e24) = e14
% 51.61/8.35 | | | | | | | |
% 51.61/8.35 | | | | | | | | GROUND_INST: instantiating (67) with e11, e14, e24, simplifying
% 51.61/8.35 | | | | | | | | with (820), (842) gives:
% 51.61/8.35 | | | | | | | | (843) e14 = e11
% 51.61/8.35 | | | | | | | |
% 51.61/8.35 | | | | | | | | REDUCE: (7), (843) imply:
% 51.61/8.35 | | | | | | | | (844) $false
% 51.61/8.35 | | | | | | | |
% 51.61/8.35 | | | | | | | | CLOSE: (844) is inconsistent.
% 51.61/8.35 | | | | | | | |
% 51.61/8.35 | | | | | | | Case 2:
% 51.61/8.35 | | | | | | | |
% 51.61/8.35 | | | | | | | | (845) all_4_105 = e23 | all_4_105 = e22 | all_4_105 = e20 |
% 51.61/8.35 | | | | | | | | all_4_105 = e21
% 51.61/8.35 | | | | | | | |
% 51.61/8.35 | | | | | | | | BETA: splitting (637) gives:
% 51.61/8.35 | | | | | | | |
% 51.61/8.35 | | | | | | | | Case 1:
% 51.61/8.35 | | | | | | | | |
% 51.61/8.35 | | | | | | | | | (846) all_4_109 = e23
% 51.61/8.35 | | | | | | | | |
% 51.61/8.35 | | | | | | | | | REDUCE: (828), (846) imply:
% 51.61/8.35 | | | | | | | | | (847) op2(e23, e24) = all_4_106
% 51.61/8.35 | | | | | | | | |
% 51.61/8.35 | | | | | | | | | REDUCE: (824), (846) imply:
% 51.61/8.35 | | | | | | | | | (848) op2(e24, all_4_105) = e23
% 51.61/8.35 | | | | | | | | |
% 51.61/8.35 | | | | | | | | | REDUCE: (827), (846) imply:
% 52.05/8.35 | | | | | | | | | (849) op2(e24, e23) = all_4_105
% 52.05/8.35 | | | | | | | | |
% 52.05/8.35 | | | | | | | | | GROUND_INST: instantiating (70) with e22, all_4_106, e24, e23,
% 52.05/8.35 | | | | | | | | | simplifying with (60), (847) gives:
% 52.05/8.35 | | | | | | | | | (850) all_4_106 = e22
% 52.05/8.35 | | | | | | | | |
% 52.05/8.36 | | | | | | | | | GROUND_INST: instantiating (70) with e21, all_4_105, e23, e24,
% 52.05/8.36 | | | | | | | | | simplifying with (64), (849) gives:
% 52.05/8.36 | | | | | | | | | (851) all_4_105 = e21
% 52.05/8.36 | | | | | | | | |
% 52.05/8.36 | | | | | | | | | REDUCE: (822), (850), (851) imply:
% 52.05/8.36 | | | | | | | | | (852) op2(e22, e24) = e21
% 52.05/8.36 | | | | | | | | |
% 52.05/8.36 | | | | | | | | | REDUCE: (848), (851) imply:
% 52.05/8.36 | | | | | | | | | (853) op2(e24, e21) = e23
% 52.05/8.36 | | | | | | | | |
% 52.05/8.36 | | | | | | | | | REF_CLOSE: (11), (55), (61), (70), (852), (853) are
% 52.05/8.36 | | | | | | | | | inconsistent by sub-proof #21.
% 52.05/8.36 | | | | | | | | |
% 52.05/8.36 | | | | | | | | Case 2:
% 52.05/8.36 | | | | | | | | |
% 52.05/8.36 | | | | | | | | | (854) all_4_109 = e22 | all_4_109 = e20 | all_4_109 = e21
% 52.05/8.36 | | | | | | | | |
% 52.05/8.36 | | | | | | | | | BETA: splitting (818) gives:
% 52.05/8.36 | | | | | | | | |
% 52.05/8.36 | | | | | | | | | Case 1:
% 52.05/8.36 | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | (855) all_4_101 = e13
% 52.05/8.36 | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | REDUCE: (830), (855) imply:
% 52.05/8.36 | | | | | | | | | | (856) op1(e13, e11) = all_4_102
% 52.05/8.36 | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | GROUND_INST: instantiating (69) with e14, all_4_102, e11, e13,
% 52.05/8.36 | | | | | | | | | | simplifying with (31), (856) gives:
% 52.05/8.36 | | | | | | | | | | (857) all_4_102 = e14
% 52.05/8.36 | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | REDUCE: (744), (857) imply:
% 52.05/8.36 | | | | | | | | | | (858) $false
% 52.05/8.36 | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | CLOSE: (858) is inconsistent.
% 52.05/8.36 | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | Case 2:
% 52.05/8.36 | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | (859) ~ (all_4_101 = e13)
% 52.05/8.36 | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | BETA: splitting (835) gives:
% 52.05/8.36 | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | Case 1:
% 52.05/8.36 | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | (860) all_4_107 = e23
% 52.05/8.36 | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | REDUCE: (823), (860) imply:
% 52.05/8.36 | | | | | | | | | | | (861) op2(e23, e24) = all_4_109
% 52.05/8.36 | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | REDUCE: (825), (860) imply:
% 52.05/8.36 | | | | | | | | | | | (862) op2(e24, all_4_106) = e23
% 52.05/8.36 | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | REDUCE: (826), (860) imply:
% 52.05/8.36 | | | | | | | | | | | (863) op2(e24, e23) = all_4_106
% 52.05/8.36 | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | GROUND_INST: instantiating (70) with e22, all_4_109, e24, e23,
% 52.05/8.36 | | | | | | | | | | | simplifying with (60), (861) gives:
% 52.05/8.36 | | | | | | | | | | | (864) all_4_109 = e22
% 52.05/8.36 | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | GROUND_INST: instantiating (70) with e21, all_4_106, e23, e24,
% 52.05/8.36 | | | | | | | | | | | simplifying with (64), (863) gives:
% 52.05/8.36 | | | | | | | | | | | (865) all_4_106 = e21
% 52.05/8.36 | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | REDUCE: (828), (864), (865) imply:
% 52.05/8.36 | | | | | | | | | | | (866) op2(e22, e24) = e21
% 52.05/8.36 | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | REDUCE: (862), (865) imply:
% 52.05/8.36 | | | | | | | | | | | (867) op2(e24, e21) = e23
% 52.05/8.36 | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | REF_CLOSE: (11), (55), (61), (70), (866), (867) are
% 52.05/8.36 | | | | | | | | | | | inconsistent by sub-proof #21.
% 52.05/8.36 | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | Case 2:
% 52.05/8.36 | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | (868) ~ (all_4_107 = e23)
% 52.05/8.36 | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | BETA: splitting (840) gives:
% 52.05/8.36 | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | Case 1:
% 52.05/8.36 | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | (869) all_4_106 = e23
% 52.05/8.36 | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | REF_CLOSE: (67), (163), (168), (859), (869) are inconsistent
% 52.05/8.36 | | | | | | | | | | | | by sub-proof #7.
% 52.05/8.36 | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | Case 2:
% 52.05/8.36 | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | (870) ~ (all_4_106 = e23)
% 52.05/8.36 | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | BETA: splitting (845) gives:
% 52.05/8.36 | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | Case 1:
% 52.05/8.36 | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | (871) all_4_105 = e23
% 52.05/8.36 | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | REF_CLOSE: (67), (163), (169), (817), (871) are inconsistent
% 52.05/8.36 | | | | | | | | | | | | | by sub-proof #20.
% 52.05/8.36 | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | Case 2:
% 52.05/8.36 | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | (872) ~ (all_4_105 = e23)
% 52.05/8.36 | | | | | | | | | | | | | (873) all_4_105 = e22 | all_4_105 = e20 | all_4_105 =
% 52.05/8.36 | | | | | | | | | | | | | e21
% 52.05/8.36 | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | BETA: splitting (854) gives:
% 52.05/8.36 | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | Case 1:
% 52.05/8.36 | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | (874) all_4_109 = e22
% 52.05/8.36 | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | REDUCE: (828), (874) imply:
% 52.05/8.36 | | | | | | | | | | | | | | (875) op2(e22, e24) = all_4_106
% 52.05/8.36 | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e23, all_4_106, e24, e22,
% 52.05/8.36 | | | | | | | | | | | | | | simplifying with (55), (875) gives:
% 52.05/8.36 | | | | | | | | | | | | | | (876) all_4_106 = e23
% 52.05/8.36 | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | REDUCE: (870), (876) imply:
% 52.05/8.36 | | | | | | | | | | | | | | (877) $false
% 52.05/8.36 | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | CLOSE: (877) is inconsistent.
% 52.05/8.36 | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | Case 2:
% 52.05/8.36 | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | (878) all_4_109 = e20 | all_4_109 = e21
% 52.05/8.36 | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | BETA: splitting (873) gives:
% 52.05/8.36 | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | Case 1:
% 52.05/8.36 | | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | | (879) all_4_105 = e22
% 52.05/8.36 | | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | | REDUCE: (821), (879) imply:
% 52.05/8.36 | | | | | | | | | | | | | | | (880) op2(e22, e24) = all_4_107
% 52.05/8.36 | | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | | REF_CLOSE: (55), (70), (868), (880) are inconsistent by
% 52.05/8.36 | | | | | | | | | | | | | | | sub-proof #6.
% 52.05/8.36 | | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | Case 2:
% 52.05/8.36 | | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | | (881) ~ (all_4_105 = e22)
% 52.05/8.36 | | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | | BETA: splitting (878) gives:
% 52.05/8.36 | | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | | Case 1:
% 52.05/8.36 | | | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | | | (882) all_4_109 = e20
% 52.05/8.36 | | | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | | | REDUCE: (827), (882) imply:
% 52.05/8.36 | | | | | | | | | | | | | | | | (883) op2(e24, e20) = all_4_105
% 52.05/8.36 | | | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e23, all_4_105, e20, e24,
% 52.05/8.36 | | | | | | | | | | | | | | | | simplifying with (62), (883) gives:
% 52.05/8.36 | | | | | | | | | | | | | | | | (884) all_4_105 = e23
% 52.05/8.36 | | | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | | | REDUCE: (872), (884) imply:
% 52.05/8.36 | | | | | | | | | | | | | | | | (885) $false
% 52.05/8.36 | | | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | | | CLOSE: (885) is inconsistent.
% 52.05/8.36 | | | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | | Case 2:
% 52.05/8.36 | | | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | | | (886) all_4_109 = e21
% 52.05/8.36 | | | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | | | REDUCE: (827), (886) imply:
% 52.05/8.36 | | | | | | | | | | | | | | | | (887) op2(e24, e21) = all_4_105
% 52.05/8.36 | | | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e22, all_4_105, e21, e24,
% 52.05/8.36 | | | | | | | | | | | | | | | | simplifying with (61), (887) gives:
% 52.05/8.36 | | | | | | | | | | | | | | | | (888) all_4_105 = e22
% 52.05/8.36 | | | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | | | REDUCE: (881), (888) imply:
% 52.05/8.36 | | | | | | | | | | | | | | | | (889) $false
% 52.05/8.36 | | | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | | | CLOSE: (889) is inconsistent.
% 52.05/8.36 | | | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | | End of split
% 52.05/8.36 | | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | | End of split
% 52.05/8.36 | | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | | End of split
% 52.05/8.36 | | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | | End of split
% 52.05/8.36 | | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | | End of split
% 52.05/8.36 | | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | | End of split
% 52.05/8.36 | | | | | | | | | |
% 52.05/8.36 | | | | | | | | | End of split
% 52.05/8.36 | | | | | | | | |
% 52.05/8.36 | | | | | | | | End of split
% 52.05/8.36 | | | | | | | |
% 52.05/8.36 | | | | | | | End of split
% 52.05/8.36 | | | | | | |
% 52.05/8.36 | | | | | | End of split
% 52.05/8.36 | | | | | |
% 52.05/8.36 | | | | | End of split
% 52.05/8.36 | | | | |
% 52.05/8.36 | | | | Case 2:
% 52.05/8.36 | | | | |
% 52.05/8.36 | | | | | (890) ~ (all_4_108 = e24)
% 52.05/8.36 | | | | | (891) all_4_108 = e23 | all_4_108 = e22 | all_4_108 = e20 |
% 52.05/8.36 | | | | | all_4_108 = e21
% 52.05/8.36 | | | | |
% 52.05/8.36 | | | | | BETA: splitting (232) gives:
% 52.05/8.36 | | | | |
% 52.05/8.36 | | | | | Case 1:
% 52.05/8.36 | | | | | |
% 52.05/8.36 | | | | | | (892) all_4_107 = e24
% 52.05/8.37 | | | | | |
% 52.05/8.37 | | | | | | REDUCE: (167), (892) imply:
% 52.05/8.37 | | | | | | (893) j(e24) = e12
% 52.05/8.37 | | | | | |
% 52.05/8.37 | | | | | | REDUCE: (496), (892) imply:
% 52.05/8.37 | | | | | | (894) op2(all_4_108, e24) = all_4_106
% 52.05/8.37 | | | | | |
% 52.05/8.37 | | | | | | REDUCE: (500), (892) imply:
% 52.05/8.37 | | | | | | (895) op2(all_4_109, e24) = all_4_105
% 52.05/8.37 | | | | | |
% 52.05/8.37 | | | | | | GROUND_INST: instantiating (67) with all_4_100, e12, e24,
% 52.05/8.37 | | | | | | simplifying with (164), (893) gives:
% 52.05/8.37 | | | | | | (896) all_4_100 = e12
% 52.05/8.37 | | | | | |
% 52.05/8.37 | | | | | | REDUCE: (502), (896) imply:
% 52.05/8.37 | | | | | | (897) op1(e12, all_4_101) = all_4_103
% 52.05/8.37 | | | | | |
% 52.05/8.37 | | | | | | REDUCE: (503), (896) imply:
% 52.05/8.37 | | | | | | (898) op1(e12, all_4_102) = all_4_104
% 52.05/8.37 | | | | | |
% 52.05/8.37 | | | | | | REDUCE: (504), (896) imply:
% 52.05/8.37 | | | | | | (899) op1(e12, all_4_103) = all_4_102
% 52.05/8.37 | | | | | |
% 52.05/8.37 | | | | | | REDUCE: (505), (896) imply:
% 52.05/8.37 | | | | | | (900) op1(e12, all_4_104) = all_4_101
% 52.05/8.37 | | | | | |
% 52.05/8.37 | | | | | | REDUCE: (513), (896) imply:
% 52.05/8.37 | | | | | | (901) op1(all_4_103, e12) = all_4_104
% 52.05/8.37 | | | | | |
% 52.05/8.37 | | | | | | REDUCE: (517), (896) imply:
% 52.05/8.37 | | | | | | (902) op1(all_4_104, e12) = all_4_103
% 52.05/8.37 | | | | | |
% 52.05/8.37 | | | | | | BETA: splitting (233) gives:
% 52.05/8.37 | | | | | |
% 52.05/8.37 | | | | | | Case 1:
% 52.05/8.37 | | | | | | |
% 52.05/8.37 | | | | | | | (903) all_4_106 = e24
% 52.05/8.37 | | | | | | |
% 52.05/8.37 | | | | | | | REDUCE: (168), (903) imply:
% 52.05/8.37 | | | | | | | (904) j(e24) = e13
% 52.05/8.37 | | | | | | |
% 52.05/8.37 | | | | | | | GROUND_INST: instantiating (67) with e12, e13, e24, simplifying
% 52.05/8.37 | | | | | | | with (893), (904) gives:
% 52.05/8.37 | | | | | | | (905) e13 = e12
% 52.05/8.37 | | | | | | |
% 52.05/8.37 | | | | | | | REDUCE: (6), (905) imply:
% 52.05/8.37 | | | | | | | (906) $false
% 52.05/8.37 | | | | | | |
% 52.05/8.37 | | | | | | | CLOSE: (906) is inconsistent.
% 52.05/8.37 | | | | | | |
% 52.05/8.37 | | | | | | Case 2:
% 52.05/8.37 | | | | | | |
% 52.05/8.37 | | | | | | | (907) ~ (all_4_106 = e24)
% 52.05/8.37 | | | | | | | (908) all_4_106 = e23 | all_4_106 = e22 | all_4_106 = e20 |
% 52.05/8.37 | | | | | | | all_4_106 = e21
% 52.05/8.37 | | | | | | |
% 52.05/8.37 | | | | | | | BETA: splitting (234) gives:
% 52.05/8.37 | | | | | | |
% 52.05/8.37 | | | | | | | Case 1:
% 52.05/8.37 | | | | | | | |
% 52.05/8.37 | | | | | | | | (909) all_4_105 = e24
% 52.05/8.37 | | | | | | | |
% 52.05/8.37 | | | | | | | | REDUCE: (169), (909) imply:
% 52.05/8.37 | | | | | | | | (910) j(e24) = e14
% 52.05/8.37 | | | | | | | |
% 52.05/8.37 | | | | | | | | GROUND_INST: instantiating (67) with e12, e14, e24, simplifying
% 52.05/8.37 | | | | | | | | with (893), (910) gives:
% 52.05/8.37 | | | | | | | | (911) e14 = e12
% 52.05/8.37 | | | | | | | |
% 52.05/8.37 | | | | | | | | REDUCE: (9), (911) imply:
% 52.05/8.37 | | | | | | | | (912) $false
% 52.05/8.37 | | | | | | | |
% 52.05/8.37 | | | | | | | | CLOSE: (912) is inconsistent.
% 52.05/8.37 | | | | | | | |
% 52.05/8.37 | | | | | | | Case 2:
% 52.05/8.37 | | | | | | | |
% 52.05/8.37 | | | | | | | | (913) ~ (all_4_105 = e24)
% 52.05/8.37 | | | | | | | |
% 52.05/8.37 | | | | | | | | BETA: splitting (235) gives:
% 52.05/8.37 | | | | | | | |
% 52.05/8.37 | | | | | | | | Case 1:
% 52.05/8.37 | | | | | | | | |
% 52.05/8.37 | | | | | | | | | (914) all_4_104 = e14
% 52.05/8.37 | | | | | | | | |
% 52.05/8.37 | | | | | | | | | REDUCE: (901), (914) imply:
% 52.05/8.37 | | | | | | | | | (915) op1(all_4_103, e12) = e14
% 52.05/8.37 | | | | | | | | |
% 52.05/8.37 | | | | | | | | | REDUCE: (519), (914) imply:
% 52.05/8.37 | | | | | | | | | (916) op1(e14, all_4_103) = all_4_101
% 52.05/8.37 | | | | | | | | |
% 52.05/8.37 | | | | | | | | | REDUCE: (902), (914) imply:
% 52.05/8.37 | | | | | | | | | (917) op1(e14, e12) = all_4_103
% 52.05/8.37 | | | | | | | | |
% 52.05/8.37 | | | | | | | | | REDUCE: (900), (914) imply:
% 52.05/8.37 | | | | | | | | | (918) op1(e12, e14) = all_4_101
% 52.05/8.37 | | | | | | | | |
% 52.05/8.37 | | | | | | | | | GROUND_INST: instantiating (69) with e13, all_4_101, e14, e12,
% 52.05/8.37 | | | | | | | | | simplifying with (30), (918) gives:
% 52.05/8.37 | | | | | | | | | (919) all_4_101 = e13
% 52.05/8.37 | | | | | | | | |
% 52.05/8.37 | | | | | | | | | GROUND_INST: instantiating (69) with e11, all_4_103, e12, e14,
% 52.05/8.37 | | | | | | | | | simplifying with (38), (917) gives:
% 52.05/8.37 | | | | | | | | | (920) all_4_103 = e11
% 52.05/8.37 | | | | | | | | |
% 52.05/8.37 | | | | | | | | | REDUCE: (915), (920) imply:
% 52.05/8.37 | | | | | | | | | (921) op1(e11, e12) = e14
% 52.05/8.37 | | | | | | | | |
% 52.05/8.37 | | | | | | | | | REDUCE: (916), (919), (920) imply:
% 52.05/8.37 | | | | | | | | | (922) op1(e14, e11) = e13
% 52.05/8.37 | | | | | | | | |
% 52.05/8.37 | | | | | | | | | REDUCE: (897), (919), (920) imply:
% 52.05/8.37 | | | | | | | | | (923) op1(e12, e13) = e11
% 52.05/8.37 | | | | | | | | |
% 52.05/8.37 | | | | | | | | | REF_CLOSE: (2), (18), (29), (36), (69), (921), (922), (923)
% 52.05/8.37 | | | | | | | | | are inconsistent by sub-proof #5.
% 52.05/8.37 | | | | | | | | |
% 52.05/8.37 | | | | | | | | Case 2:
% 52.05/8.37 | | | | | | | | |
% 52.05/8.37 | | | | | | | | | (924) ~ (all_4_104 = e14)
% 52.05/8.37 | | | | | | | | |
% 52.05/8.37 | | | | | | | | | BETA: splitting (236) gives:
% 52.05/8.37 | | | | | | | | |
% 52.05/8.37 | | | | | | | | | Case 1:
% 52.05/8.37 | | | | | | | | | |
% 52.05/8.37 | | | | | | | | | | (925) all_4_103 = e14
% 52.05/8.37 | | | | | | | | | |
% 52.05/8.37 | | | | | | | | | | REDUCE: (516), (925) imply:
% 52.05/8.37 | | | | | | | | | | (926) op1(e14, all_4_104) = all_4_102
% 52.05/8.37 | | | | | | | | | |
% 52.05/8.37 | | | | | | | | | | REDUCE: (901), (925) imply:
% 52.05/8.38 | | | | | | | | | | (927) op1(e14, e12) = all_4_104
% 52.05/8.38 | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | REDUCE: (902), (925) imply:
% 52.05/8.38 | | | | | | | | | | (928) op1(all_4_104, e12) = e14
% 52.05/8.38 | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | REDUCE: (899), (925) imply:
% 52.05/8.38 | | | | | | | | | | (929) op1(e12, e14) = all_4_102
% 52.05/8.38 | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | GROUND_INST: instantiating (69) with e13, all_4_102, e14, e12,
% 52.05/8.38 | | | | | | | | | | simplifying with (30), (929) gives:
% 52.05/8.38 | | | | | | | | | | (930) all_4_102 = e13
% 52.05/8.38 | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | GROUND_INST: instantiating (69) with e11, all_4_104, e12, e14,
% 52.05/8.38 | | | | | | | | | | simplifying with (38), (927) gives:
% 52.05/8.38 | | | | | | | | | | (931) all_4_104 = e11
% 52.05/8.38 | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | REDUCE: (928), (931) imply:
% 52.05/8.38 | | | | | | | | | | (932) op1(e11, e12) = e14
% 52.05/8.38 | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | REDUCE: (926), (930), (931) imply:
% 52.05/8.38 | | | | | | | | | | (933) op1(e14, e11) = e13
% 52.05/8.38 | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | REDUCE: (898), (930), (931) imply:
% 52.05/8.38 | | | | | | | | | | (934) op1(e12, e13) = e11
% 52.05/8.38 | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | REF_CLOSE: (2), (18), (29), (36), (69), (932), (933), (934)
% 52.05/8.38 | | | | | | | | | | are inconsistent by sub-proof #5.
% 52.05/8.38 | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | Case 2:
% 52.05/8.38 | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | (935) ~ (all_4_103 = e14)
% 52.05/8.38 | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | BETA: splitting (637) gives:
% 52.05/8.38 | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | Case 1:
% 52.05/8.38 | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | (936) all_4_109 = e23
% 52.05/8.38 | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | REDUCE: (895), (936) imply:
% 52.05/8.38 | | | | | | | | | | | (937) op2(e23, e24) = all_4_105
% 52.05/8.38 | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | REF_CLOSE: (60), (67), (70), (162), (169), (744), (937) are
% 52.05/8.38 | | | | | | | | | | | inconsistent by sub-proof #19.
% 52.05/8.38 | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | Case 2:
% 52.05/8.38 | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | (938) ~ (all_4_109 = e23)
% 52.05/8.38 | | | | | | | | | | | (939) all_4_109 = e22 | all_4_109 = e20 | all_4_109 =
% 52.05/8.38 | | | | | | | | | | | e21
% 52.05/8.38 | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | BETA: splitting (745) gives:
% 52.05/8.38 | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | Case 1:
% 52.05/8.38 | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | (940) all_4_102 = e13
% 52.05/8.38 | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | REDUCE: (898), (940) imply:
% 52.05/8.38 | | | | | | | | | | | | (941) op1(e12, e13) = all_4_104
% 52.05/8.38 | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | GROUND_INST: instantiating (69) with e14, all_4_104, e13, e12,
% 52.05/8.38 | | | | | | | | | | | | simplifying with (29), (941) gives:
% 52.05/8.38 | | | | | | | | | | | | (942) all_4_104 = e14
% 52.05/8.38 | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | REDUCE: (924), (942) imply:
% 52.05/8.38 | | | | | | | | | | | | (943) $false
% 52.05/8.38 | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | CLOSE: (943) is inconsistent.
% 52.05/8.38 | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | Case 2:
% 52.05/8.38 | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | (944) ~ (all_4_102 = e13)
% 52.05/8.38 | | | | | | | | | | | | (945) all_4_102 = e12 | all_4_102 = e10 | all_4_102 =
% 52.05/8.38 | | | | | | | | | | | | e11
% 52.05/8.38 | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | BETA: splitting (818) gives:
% 52.05/8.38 | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | Case 1:
% 52.05/8.38 | | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | | (946) all_4_101 = e13
% 52.05/8.38 | | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | | REDUCE: (897), (946) imply:
% 52.05/8.38 | | | | | | | | | | | | | (947) op1(e12, e13) = all_4_103
% 52.05/8.38 | | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | | GROUND_INST: instantiating (69) with e14, all_4_103, e13, e12,
% 52.05/8.38 | | | | | | | | | | | | | simplifying with (29), (947) gives:
% 52.05/8.38 | | | | | | | | | | | | | (948) all_4_103 = e14
% 52.05/8.38 | | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | | REDUCE: (935), (948) imply:
% 52.05/8.38 | | | | | | | | | | | | | (949) $false
% 52.05/8.38 | | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | | CLOSE: (949) is inconsistent.
% 52.05/8.38 | | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | Case 2:
% 52.05/8.38 | | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | | (950) ~ (all_4_101 = e13)
% 52.05/8.38 | | | | | | | | | | | | | (951) all_4_101 = e12 | all_4_101 = e10 | all_4_101 =
% 52.05/8.38 | | | | | | | | | | | | | e11
% 52.05/8.38 | | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | | BETA: splitting (891) gives:
% 52.05/8.38 | | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | | Case 1:
% 52.05/8.38 | | | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | | | (952) all_4_108 = e23
% 52.05/8.38 | | | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | | | REDUCE: (894), (952) imply:
% 52.05/8.38 | | | | | | | | | | | | | | (953) op2(e23, e24) = all_4_106
% 52.05/8.38 | | | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e22, all_4_106, e24, e23,
% 52.05/8.38 | | | | | | | | | | | | | | simplifying with (60), (953) gives:
% 52.05/8.38 | | | | | | | | | | | | | | (954) all_4_106 = e22
% 52.05/8.38 | | | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | | | REDUCE: (168), (954) imply:
% 52.05/8.38 | | | | | | | | | | | | | | (955) j(e22) = e13
% 52.05/8.38 | | | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | | | REF_CLOSE: (67), (162), (944), (955) are inconsistent by
% 52.05/8.38 | | | | | | | | | | | | | | sub-proof #4.
% 52.05/8.38 | | | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | | Case 2:
% 52.05/8.38 | | | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | | | (956) ~ (all_4_108 = e23)
% 52.05/8.38 | | | | | | | | | | | | | | (957) all_4_108 = e22 | all_4_108 = e20 | all_4_108 =
% 52.05/8.38 | | | | | | | | | | | | | | e21
% 52.05/8.38 | | | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | | | REF_CLOSE: (14), (23), (43), (48), (51), (67), (68), (69),
% 52.05/8.38 | | | | | | | | | | | | | | (70), (162), (163), (165), (168), (195), (197),
% 52.05/8.38 | | | | | | | | | | | | | | (202), (203), (493), (500), (501), (510), (890),
% 52.05/8.38 | | | | | | | | | | | | | | (907), (908), (913), (924), (938), (939), (945),
% 52.05/8.38 | | | | | | | | | | | | | | (950), (951), (956), (957) are inconsistent by
% 52.05/8.38 | | | | | | | | | | | | | | sub-proof #2.
% 52.05/8.38 | | | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | | End of split
% 52.05/8.38 | | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | | End of split
% 52.05/8.38 | | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | | End of split
% 52.05/8.38 | | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | | End of split
% 52.05/8.38 | | | | | | | | | |
% 52.05/8.38 | | | | | | | | | End of split
% 52.05/8.38 | | | | | | | | |
% 52.05/8.38 | | | | | | | | End of split
% 52.05/8.38 | | | | | | | |
% 52.05/8.38 | | | | | | | End of split
% 52.05/8.38 | | | | | | |
% 52.05/8.38 | | | | | | End of split
% 52.05/8.38 | | | | | |
% 52.05/8.38 | | | | | Case 2:
% 52.05/8.38 | | | | | |
% 52.05/8.39 | | | | | | (958) ~ (all_4_107 = e24)
% 52.05/8.39 | | | | | | (959) all_4_107 = e23 | all_4_107 = e22 | all_4_107 = e20 |
% 52.05/8.39 | | | | | | all_4_107 = e21
% 52.05/8.39 | | | | | |
% 52.05/8.39 | | | | | | BETA: splitting (233) gives:
% 52.05/8.39 | | | | | |
% 52.05/8.39 | | | | | | Case 1:
% 52.05/8.39 | | | | | | |
% 52.05/8.39 | | | | | | | (960) all_4_106 = e24
% 52.05/8.39 | | | | | | |
% 52.05/8.39 | | | | | | | REDUCE: (168), (960) imply:
% 52.05/8.39 | | | | | | | (961) j(e24) = e13
% 52.05/8.39 | | | | | | |
% 52.05/8.39 | | | | | | | REDUCE: (482), (960) imply:
% 52.05/8.39 | | | | | | | (962) op2(all_4_105, e24) = all_4_109
% 52.05/8.39 | | | | | | |
% 52.05/8.39 | | | | | | | REDUCE: (486), (960) imply:
% 52.05/8.39 | | | | | | | (963) op2(e24, all_4_105) = all_4_108
% 52.05/8.39 | | | | | | |
% 52.05/8.39 | | | | | | | REDUCE: (487), (960) imply:
% 52.05/8.39 | | | | | | | (964) op2(e24, all_4_107) = all_4_109
% 52.05/8.39 | | | | | | |
% 52.05/8.39 | | | | | | | REDUCE: (488), (960) imply:
% 52.05/8.39 | | | | | | | (965) op2(e24, all_4_108) = all_4_105
% 52.05/8.39 | | | | | | |
% 52.05/8.39 | | | | | | | REDUCE: (489), (960) imply:
% 52.05/8.39 | | | | | | | (966) op2(e24, all_4_109) = all_4_107
% 52.05/8.39 | | | | | | |
% 52.05/8.39 | | | | | | | REDUCE: (491), (960) imply:
% 52.05/8.39 | | | | | | | (967) op2(all_4_107, e24) = all_4_105
% 52.05/8.39 | | | | | | |
% 52.05/8.39 | | | | | | | REDUCE: (495), (960) imply:
% 52.05/8.39 | | | | | | | (968) op2(all_4_108, e24) = all_4_107
% 52.05/8.39 | | | | | | |
% 52.05/8.39 | | | | | | | REDUCE: (499), (960) imply:
% 52.05/8.39 | | | | | | | (969) op2(all_4_109, e24) = all_4_108
% 52.05/8.39 | | | | | | |
% 52.05/8.39 | | | | | | | GROUND_INST: instantiating (67) with all_4_100, e13, e24,
% 52.05/8.39 | | | | | | | simplifying with (164), (961) gives:
% 52.05/8.39 | | | | | | | (970) all_4_100 = e13
% 52.05/8.39 | | | | | | |
% 52.05/8.39 | | | | | | | BETA: splitting (234) gives:
% 52.05/8.39 | | | | | | |
% 52.05/8.39 | | | | | | | Case 1:
% 52.05/8.39 | | | | | | | |
% 52.05/8.39 | | | | | | | | (971) all_4_105 = e24
% 52.05/8.39 | | | | | | | |
% 52.05/8.39 | | | | | | | | REDUCE: (169), (971) imply:
% 52.05/8.39 | | | | | | | | (972) j(e24) = e14
% 52.05/8.39 | | | | | | | |
% 52.05/8.39 | | | | | | | | GROUND_INST: instantiating (67) with e13, e14, e24, simplifying
% 52.05/8.39 | | | | | | | | with (961), (972) gives:
% 52.05/8.39 | | | | | | | | (973) e14 = e13
% 52.05/8.39 | | | | | | | |
% 52.05/8.39 | | | | | | | | REDUCE: (10), (973) imply:
% 52.05/8.39 | | | | | | | | (974) $false
% 52.05/8.39 | | | | | | | |
% 52.05/8.39 | | | | | | | | CLOSE: (974) is inconsistent.
% 52.05/8.39 | | | | | | | |
% 52.05/8.39 | | | | | | | Case 2:
% 52.05/8.39 | | | | | | | |
% 52.05/8.39 | | | | | | | | (975) all_4_105 = e23 | all_4_105 = e22 | all_4_105 = e20 |
% 52.05/8.39 | | | | | | | | all_4_105 = e21
% 52.05/8.39 | | | | | | | |
% 52.05/8.39 | | | | | | | | BETA: splitting (637) gives:
% 52.05/8.39 | | | | | | | |
% 52.05/8.39 | | | | | | | | Case 1:
% 52.05/8.39 | | | | | | | | |
% 52.05/8.39 | | | | | | | | | (976) all_4_109 = e23
% 52.05/8.39 | | | | | | | | |
% 52.05/8.39 | | | | | | | | | REDUCE: (969), (976) imply:
% 52.05/8.39 | | | | | | | | | (977) op2(e23, e24) = all_4_108
% 52.05/8.39 | | | | | | | | |
% 52.05/8.39 | | | | | | | | | REDUCE: (964), (976) imply:
% 52.05/8.39 | | | | | | | | | (978) op2(e24, all_4_107) = e23
% 52.05/8.39 | | | | | | | | |
% 52.05/8.39 | | | | | | | | | REDUCE: (966), (976) imply:
% 52.05/8.39 | | | | | | | | | (979) op2(e24, e23) = all_4_107
% 52.05/8.39 | | | | | | | | |
% 52.05/8.39 | | | | | | | | | GROUND_INST: instantiating (70) with e22, all_4_108, e24, e23,
% 52.05/8.39 | | | | | | | | | simplifying with (60), (977) gives:
% 52.05/8.39 | | | | | | | | | (980) all_4_108 = e22
% 52.05/8.39 | | | | | | | | |
% 52.05/8.39 | | | | | | | | | GROUND_INST: instantiating (70) with e21, all_4_107, e23, e24,
% 52.05/8.39 | | | | | | | | | simplifying with (64), (979) gives:
% 52.05/8.39 | | | | | | | | | (981) all_4_107 = e21
% 52.05/8.39 | | | | | | | | |
% 52.05/8.39 | | | | | | | | | REDUCE: (968), (980), (981) imply:
% 52.05/8.39 | | | | | | | | | (982) op2(e22, e24) = e21
% 52.05/8.39 | | | | | | | | |
% 52.05/8.39 | | | | | | | | | REDUCE: (978), (981) imply:
% 52.05/8.39 | | | | | | | | | (983) op2(e24, e21) = e23
% 52.05/8.39 | | | | | | | | |
% 52.05/8.39 | | | | | | | | | REF_CLOSE: (11), (55), (61), (70), (982), (983) are
% 52.05/8.39 | | | | | | | | | inconsistent by sub-proof #21.
% 52.05/8.39 | | | | | | | | |
% 52.05/8.39 | | | | | | | | Case 2:
% 52.05/8.39 | | | | | | | | |
% 52.05/8.39 | | | | | | | | | (984) all_4_109 = e22 | all_4_109 = e20 | all_4_109 = e21
% 52.05/8.39 | | | | | | | | |
% 52.05/8.39 | | | | | | | | | BETA: splitting (891) gives:
% 52.05/8.39 | | | | | | | | |
% 52.05/8.39 | | | | | | | | | Case 1:
% 52.05/8.39 | | | | | | | | | |
% 52.05/8.39 | | | | | | | | | | (985) all_4_108 = e23
% 52.05/8.39 | | | | | | | | | |
% 52.05/8.39 | | | | | | | | | | REDUCE: (968), (985) imply:
% 52.05/8.39 | | | | | | | | | | (986) op2(e23, e24) = all_4_107
% 52.05/8.39 | | | | | | | | | |
% 52.05/8.39 | | | | | | | | | | REDUCE: (963), (985) imply:
% 52.05/8.39 | | | | | | | | | | (987) op2(e24, all_4_105) = e23
% 52.05/8.39 | | | | | | | | | |
% 52.05/8.39 | | | | | | | | | | REDUCE: (965), (985) imply:
% 52.05/8.39 | | | | | | | | | | (988) op2(e24, e23) = all_4_105
% 52.05/8.39 | | | | | | | | | |
% 52.05/8.39 | | | | | | | | | | GROUND_INST: instantiating (70) with e22, all_4_107, e24, e23,
% 52.05/8.39 | | | | | | | | | | simplifying with (60), (986) gives:
% 52.05/8.39 | | | | | | | | | | (989) all_4_107 = e22
% 52.05/8.39 | | | | | | | | | |
% 52.05/8.39 | | | | | | | | | | GROUND_INST: instantiating (70) with e21, all_4_105, e23, e24,
% 52.05/8.39 | | | | | | | | | | simplifying with (64), (988) gives:
% 52.05/8.39 | | | | | | | | | | (990) all_4_105 = e21
% 52.05/8.39 | | | | | | | | | |
% 52.05/8.39 | | | | | | | | | | REDUCE: (967), (989), (990) imply:
% 52.05/8.39 | | | | | | | | | | (991) op2(e22, e24) = e21
% 52.05/8.39 | | | | | | | | | |
% 52.05/8.39 | | | | | | | | | | REDUCE: (987), (990) imply:
% 52.05/8.39 | | | | | | | | | | (992) op2(e24, e21) = e23
% 52.05/8.39 | | | | | | | | | |
% 52.05/8.39 | | | | | | | | | | REF_CLOSE: (11), (55), (61), (70), (991), (992) are
% 52.05/8.39 | | | | | | | | | | inconsistent by sub-proof #21.
% 52.05/8.39 | | | | | | | | | |
% 52.05/8.39 | | | | | | | | | Case 2:
% 52.05/8.39 | | | | | | | | | |
% 52.05/8.39 | | | | | | | | | | (993) ~ (all_4_108 = e23)
% 52.05/8.39 | | | | | | | | | |
% 52.05/8.39 | | | | | | | | | | BETA: splitting (959) gives:
% 52.05/8.39 | | | | | | | | | |
% 52.05/8.39 | | | | | | | | | | Case 1:
% 52.05/8.39 | | | | | | | | | | |
% 52.05/8.39 | | | | | | | | | | | (994) all_4_107 = e23
% 52.05/8.39 | | | | | | | | | | |
% 52.05/8.39 | | | | | | | | | | | REDUCE: (967), (994) imply:
% 52.05/8.39 | | | | | | | | | | | (995) op2(e23, e24) = all_4_105
% 52.05/8.39 | | | | | | | | | | |
% 52.05/8.39 | | | | | | | | | | | REDUCE: (964), (994) imply:
% 52.05/8.39 | | | | | | | | | | | (996) op2(e24, e23) = all_4_109
% 52.05/8.39 | | | | | | | | | | |
% 52.05/8.39 | | | | | | | | | | | REDUCE: (966), (994) imply:
% 52.05/8.40 | | | | | | | | | | | (997) op2(e24, all_4_109) = e23
% 52.05/8.40 | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | GROUND_INST: instantiating (70) with e22, all_4_105, e24, e23,
% 52.05/8.40 | | | | | | | | | | | simplifying with (60), (995) gives:
% 52.05/8.40 | | | | | | | | | | | (998) all_4_105 = e22
% 52.05/8.40 | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | GROUND_INST: instantiating (70) with e21, all_4_109, e23, e24,
% 52.05/8.40 | | | | | | | | | | | simplifying with (64), (996) gives:
% 52.05/8.40 | | | | | | | | | | | (999) all_4_109 = e21
% 52.05/8.40 | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | REDUCE: (962), (998), (999) imply:
% 52.05/8.40 | | | | | | | | | | | (1000) op2(e22, e24) = e21
% 52.05/8.40 | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | REDUCE: (997), (999) imply:
% 52.05/8.40 | | | | | | | | | | | (1001) op2(e24, e21) = e23
% 52.05/8.40 | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | REF_CLOSE: (11), (55), (61), (70), (1000), (1001) are
% 52.05/8.40 | | | | | | | | | | | inconsistent by sub-proof #21.
% 52.05/8.40 | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | Case 2:
% 52.05/8.40 | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | (1002) ~ (all_4_107 = e23)
% 52.05/8.40 | | | | | | | | | | | (1003) all_4_107 = e22 | all_4_107 = e20 | all_4_107 =
% 52.05/8.40 | | | | | | | | | | | e21
% 52.05/8.40 | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | BETA: splitting (975) gives:
% 52.05/8.40 | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | Case 1:
% 52.05/8.40 | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | (1004) all_4_105 = e23
% 52.05/8.40 | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | REDUCE: (169), (1004) imply:
% 52.05/8.40 | | | | | | | | | | | | (1005) j(e23) = e14
% 52.05/8.40 | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | GROUND_INST: instantiating (67) with all_4_101, e14, e23,
% 52.05/8.40 | | | | | | | | | | | | simplifying with (163), (1005) gives:
% 52.05/8.40 | | | | | | | | | | | | (1006) all_4_101 = e14
% 52.05/8.40 | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | REDUCE: (817), (1006) imply:
% 52.05/8.40 | | | | | | | | | | | | (1007) $false
% 52.05/8.40 | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | CLOSE: (1007) is inconsistent.
% 52.05/8.40 | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | Case 2:
% 52.05/8.40 | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | (1008) ~ (all_4_105 = e23)
% 52.05/8.40 | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | BETA: splitting (984) gives:
% 52.05/8.40 | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | Case 1:
% 52.05/8.40 | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | (1009) all_4_109 = e22
% 52.05/8.40 | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | REDUCE: (969), (1009) imply:
% 52.05/8.40 | | | | | | | | | | | | | (1010) op2(e22, e24) = all_4_108
% 52.05/8.40 | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e23, all_4_108, e24, e22,
% 52.05/8.40 | | | | | | | | | | | | | simplifying with (55), (1010) gives:
% 52.05/8.40 | | | | | | | | | | | | | (1011) all_4_108 = e23
% 52.05/8.40 | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | REDUCE: (993), (1011) imply:
% 52.05/8.40 | | | | | | | | | | | | | (1012) $false
% 52.05/8.40 | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | CLOSE: (1012) is inconsistent.
% 52.05/8.40 | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | Case 2:
% 52.05/8.40 | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | (1013) all_4_109 = e20 | all_4_109 = e21
% 52.05/8.40 | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | BETA: splitting (1003) gives:
% 52.05/8.40 | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | Case 1:
% 52.05/8.40 | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | | (1014) all_4_107 = e22
% 52.05/8.40 | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | | REDUCE: (967), (1014) imply:
% 52.05/8.40 | | | | | | | | | | | | | | (1015) op2(e22, e24) = all_4_105
% 52.05/8.40 | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e23, all_4_105, e24, e22,
% 52.05/8.40 | | | | | | | | | | | | | | simplifying with (55), (1015) gives:
% 52.05/8.40 | | | | | | | | | | | | | | (1016) all_4_105 = e23
% 52.05/8.40 | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | | REDUCE: (1008), (1016) imply:
% 52.05/8.40 | | | | | | | | | | | | | | (1017) $false
% 52.05/8.40 | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | | CLOSE: (1017) is inconsistent.
% 52.05/8.40 | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | Case 2:
% 52.05/8.40 | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | | (1018) ~ (all_4_107 = e22)
% 52.05/8.40 | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | | BETA: splitting (1013) gives:
% 52.05/8.40 | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | | Case 1:
% 52.05/8.40 | | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | | | (1019) all_4_109 = e20
% 52.05/8.40 | | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | | | REDUCE: (966), (1019) imply:
% 52.05/8.40 | | | | | | | | | | | | | | | (1020) op2(e24, e20) = all_4_107
% 52.05/8.40 | | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e23, all_4_107, e20, e24,
% 52.05/8.40 | | | | | | | | | | | | | | | simplifying with (62), (1020) gives:
% 52.05/8.40 | | | | | | | | | | | | | | | (1021) all_4_107 = e23
% 52.05/8.40 | | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | | | REDUCE: (1002), (1021) imply:
% 52.05/8.40 | | | | | | | | | | | | | | | (1022) $false
% 52.05/8.40 | | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | | | CLOSE: (1022) is inconsistent.
% 52.05/8.40 | | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | | Case 2:
% 52.05/8.40 | | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | | | (1023) all_4_109 = e21
% 52.05/8.40 | | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | | | REDUCE: (966), (1023) imply:
% 52.05/8.40 | | | | | | | | | | | | | | | (1024) op2(e24, e21) = all_4_107
% 52.05/8.40 | | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e22, all_4_107, e21, e24,
% 52.05/8.40 | | | | | | | | | | | | | | | simplifying with (61), (1024) gives:
% 52.05/8.40 | | | | | | | | | | | | | | | (1025) all_4_107 = e22
% 52.05/8.40 | | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | | | REDUCE: (1018), (1025) imply:
% 52.05/8.40 | | | | | | | | | | | | | | | (1026) $false
% 52.05/8.40 | | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | | | CLOSE: (1026) is inconsistent.
% 52.05/8.40 | | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | | End of split
% 52.05/8.40 | | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | | End of split
% 52.05/8.40 | | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | | End of split
% 52.05/8.40 | | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | End of split
% 52.05/8.40 | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | End of split
% 52.05/8.40 | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | End of split
% 52.05/8.40 | | | | | | | | |
% 52.05/8.40 | | | | | | | | End of split
% 52.05/8.40 | | | | | | | |
% 52.05/8.40 | | | | | | | End of split
% 52.05/8.40 | | | | | | |
% 52.05/8.40 | | | | | | Case 2:
% 52.05/8.40 | | | | | | |
% 52.05/8.40 | | | | | | | (1027) ~ (all_4_106 = e24)
% 52.05/8.40 | | | | | | | (1028) all_4_106 = e23 | all_4_106 = e22 | all_4_106 = e20 |
% 52.05/8.40 | | | | | | | all_4_106 = e21
% 52.05/8.40 | | | | | | |
% 52.05/8.40 | | | | | | | BETA: splitting (235) gives:
% 52.05/8.40 | | | | | | |
% 52.05/8.40 | | | | | | | Case 1:
% 52.05/8.40 | | | | | | | |
% 52.05/8.40 | | | | | | | | (1029) all_4_104 = e14
% 52.05/8.40 | | | | | | | |
% 52.05/8.40 | | | | | | | | REDUCE: (200), (1029) imply:
% 52.05/8.40 | | | | | | | | (1030) h(e14) = e20
% 52.05/8.40 | | | | | | | |
% 52.05/8.40 | | | | | | | | GROUND_INST: instantiating (68) with all_4_105, e20, e14,
% 52.05/8.40 | | | | | | | | simplifying with (199), (1030) gives:
% 52.05/8.40 | | | | | | | | (1031) all_4_105 = e20
% 52.05/8.40 | | | | | | | |
% 52.05/8.40 | | | | | | | | REDUCE: (169), (1031) imply:
% 52.05/8.40 | | | | | | | | (1032) j(e20) = e14
% 52.05/8.40 | | | | | | | |
% 52.05/8.40 | | | | | | | | REDUCE: (483), (1031) imply:
% 52.05/8.40 | | | | | | | | (1033) op2(e20, all_4_107) = all_4_108
% 52.05/8.40 | | | | | | | |
% 52.05/8.40 | | | | | | | | REDUCE: (485), (1031) imply:
% 52.05/8.40 | | | | | | | | (1034) op2(e20, all_4_109) = all_4_106
% 52.05/8.40 | | | | | | | |
% 52.05/8.40 | | | | | | | | REDUCE: (490), (1031) imply:
% 52.05/8.40 | | | | | | | | (1035) op2(all_4_107, e20) = all_4_106
% 52.05/8.40 | | | | | | | |
% 52.05/8.40 | | | | | | | | REDUCE: (498), (1031) imply:
% 52.05/8.40 | | | | | | | | (1036) op2(all_4_109, e20) = all_4_107
% 52.05/8.40 | | | | | | | |
% 52.05/8.40 | | | | | | | | BETA: splitting (637) gives:
% 52.05/8.40 | | | | | | | |
% 52.05/8.40 | | | | | | | | Case 1:
% 52.05/8.40 | | | | | | | | |
% 52.05/8.40 | | | | | | | | | (1037) all_4_109 = e23
% 52.05/8.40 | | | | | | | | |
% 52.05/8.40 | | | | | | | | | REDUCE: (1036), (1037) imply:
% 52.05/8.40 | | | | | | | | | (1038) op2(e23, e20) = all_4_107
% 52.05/8.40 | | | | | | | | |
% 52.05/8.40 | | | | | | | | | GROUND_INST: instantiating (70) with e24, all_4_107, e20, e23,
% 52.05/8.40 | | | | | | | | | simplifying with (57), (1038) gives:
% 52.05/8.40 | | | | | | | | | (1039) all_4_107 = e24
% 52.05/8.40 | | | | | | | | |
% 52.05/8.40 | | | | | | | | | REDUCE: (958), (1039) imply:
% 52.05/8.40 | | | | | | | | | (1040) $false
% 52.05/8.40 | | | | | | | | |
% 52.05/8.40 | | | | | | | | | CLOSE: (1040) is inconsistent.
% 52.05/8.40 | | | | | | | | |
% 52.05/8.40 | | | | | | | | Case 2:
% 52.05/8.40 | | | | | | | | |
% 52.05/8.40 | | | | | | | | | (1041) all_4_109 = e22 | all_4_109 = e20 | all_4_109 = e21
% 52.05/8.40 | | | | | | | | |
% 52.05/8.40 | | | | | | | | | BETA: splitting (959) gives:
% 52.05/8.40 | | | | | | | | |
% 52.05/8.40 | | | | | | | | | Case 1:
% 52.05/8.40 | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | (1042) all_4_107 = e23
% 52.05/8.40 | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | REDUCE: (1035), (1042) imply:
% 52.05/8.40 | | | | | | | | | | (1043) op2(e23, e20) = all_4_106
% 52.05/8.40 | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | GROUND_INST: instantiating (70) with e24, all_4_106, e20, e23,
% 52.05/8.40 | | | | | | | | | | simplifying with (57), (1043) gives:
% 52.05/8.40 | | | | | | | | | | (1044) all_4_106 = e24
% 52.05/8.40 | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | REDUCE: (1027), (1044) imply:
% 52.05/8.40 | | | | | | | | | | (1045) $false
% 52.05/8.40 | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | CLOSE: (1045) is inconsistent.
% 52.05/8.40 | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | Case 2:
% 52.05/8.40 | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | (1046) all_4_107 = e22 | all_4_107 = e20 | all_4_107 =
% 52.05/8.40 | | | | | | | | | | e21
% 52.05/8.40 | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | BETA: splitting (1041) gives:
% 52.05/8.40 | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | Case 1:
% 52.05/8.40 | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | (1047) all_4_109 = e22
% 52.05/8.40 | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | REDUCE: (1034), (1047) imply:
% 52.05/8.40 | | | | | | | | | | | (1048) op2(e20, e22) = all_4_106
% 52.05/8.40 | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | GROUND_INST: instantiating (70) with e24, all_4_106, e22, e20,
% 52.05/8.40 | | | | | | | | | | | simplifying with (48), (1048) gives:
% 52.05/8.40 | | | | | | | | | | | (1049) all_4_106 = e24
% 52.05/8.40 | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | REDUCE: (1027), (1049) imply:
% 52.05/8.40 | | | | | | | | | | | (1050) $false
% 52.05/8.40 | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | | CLOSE: (1050) is inconsistent.
% 52.05/8.40 | | | | | | | | | | |
% 52.05/8.40 | | | | | | | | | | Case 2:
% 52.05/8.40 | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | (1051) all_4_109 = e20 | all_4_109 = e21
% 52.05/8.41 | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | BETA: splitting (1046) gives:
% 52.05/8.41 | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | Case 1:
% 52.05/8.41 | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | (1052) all_4_107 = e22
% 52.05/8.41 | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | REDUCE: (1033), (1052) imply:
% 52.05/8.41 | | | | | | | | | | | | (1053) op2(e20, e22) = all_4_108
% 52.05/8.41 | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | GROUND_INST: instantiating (70) with e24, all_4_108, e22, e20,
% 52.05/8.41 | | | | | | | | | | | | simplifying with (48), (1053) gives:
% 52.05/8.41 | | | | | | | | | | | | (1054) all_4_108 = e24
% 52.05/8.41 | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | REDUCE: (890), (1054) imply:
% 52.05/8.41 | | | | | | | | | | | | (1055) $false
% 52.05/8.41 | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | CLOSE: (1055) is inconsistent.
% 52.05/8.41 | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | Case 2:
% 52.05/8.41 | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | (1056) ~ (all_4_107 = e22)
% 52.05/8.41 | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | BETA: splitting (1051) gives:
% 52.05/8.41 | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | Case 1:
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | | (1057) all_4_109 = e20
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | | REDUCE: (165), (1057) imply:
% 52.05/8.41 | | | | | | | | | | | | | (1058) j(e20) = e10
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | | GROUND_INST: instantiating (67) with e14, e10, e20, simplifying
% 52.05/8.41 | | | | | | | | | | | | | with (1032), (1058) gives:
% 52.05/8.41 | | | | | | | | | | | | | (1059) e14 = e10
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | | REDUCE: (8), (1059) imply:
% 52.05/8.41 | | | | | | | | | | | | | (1060) $false
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | | CLOSE: (1060) is inconsistent.
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | Case 2:
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | | (1061) all_4_109 = e21
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | | REDUCE: (1036), (1061) imply:
% 52.05/8.41 | | | | | | | | | | | | | (1062) op2(e21, e20) = all_4_107
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e22, all_4_107, e20, e21,
% 52.05/8.41 | | | | | | | | | | | | | simplifying with (42), (1062) gives:
% 52.05/8.41 | | | | | | | | | | | | | (1063) all_4_107 = e22
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | | REDUCE: (1056), (1063) imply:
% 52.05/8.41 | | | | | | | | | | | | | (1064) $false
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | | CLOSE: (1064) is inconsistent.
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | End of split
% 52.05/8.41 | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | End of split
% 52.05/8.41 | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | End of split
% 52.05/8.41 | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | End of split
% 52.05/8.41 | | | | | | | | |
% 52.05/8.41 | | | | | | | | End of split
% 52.05/8.41 | | | | | | | |
% 52.05/8.41 | | | | | | | Case 2:
% 52.05/8.41 | | | | | | | |
% 52.05/8.41 | | | | | | | | (1065) ~ (all_4_104 = e14)
% 52.05/8.41 | | | | | | | |
% 52.05/8.41 | | | | | | | | BETA: splitting (236) gives:
% 52.05/8.41 | | | | | | | |
% 52.05/8.41 | | | | | | | | Case 1:
% 52.05/8.41 | | | | | | | | |
% 52.05/8.41 | | | | | | | | | (1066) all_4_103 = e14
% 52.05/8.41 | | | | | | | | |
% 52.05/8.41 | | | | | | | | | REDUCE: (201), (1066) imply:
% 52.05/8.41 | | | | | | | | | (1067) h(e14) = e21
% 52.05/8.41 | | | | | | | | |
% 52.05/8.41 | | | | | | | | | GROUND_INST: instantiating (68) with all_4_105, e21, e14,
% 52.05/8.41 | | | | | | | | | simplifying with (199), (1067) gives:
% 52.05/8.41 | | | | | | | | | (1068) all_4_105 = e21
% 52.05/8.41 | | | | | | | | |
% 52.05/8.41 | | | | | | | | | REDUCE: (169), (1068) imply:
% 52.05/8.41 | | | | | | | | | (1069) j(e21) = e14
% 52.05/8.41 | | | | | | | | |
% 52.05/8.41 | | | | | | | | | REDUCE: (483), (1068) imply:
% 52.05/8.41 | | | | | | | | | (1070) op2(e21, all_4_107) = all_4_108
% 52.05/8.41 | | | | | | | | |
% 52.05/8.41 | | | | | | | | | REDUCE: (485), (1068) imply:
% 52.05/8.41 | | | | | | | | | (1071) op2(e21, all_4_109) = all_4_106
% 52.05/8.41 | | | | | | | | |
% 52.05/8.41 | | | | | | | | | REDUCE: (498), (1068) imply:
% 52.05/8.41 | | | | | | | | | (1072) op2(all_4_109, e21) = all_4_107
% 52.05/8.41 | | | | | | | | |
% 52.05/8.41 | | | | | | | | | BETA: splitting (637) gives:
% 52.05/8.41 | | | | | | | | |
% 52.05/8.41 | | | | | | | | | Case 1:
% 52.05/8.41 | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | (1073) all_4_109 = e23
% 52.05/8.41 | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | REDUCE: (1071), (1073) imply:
% 52.05/8.41 | | | | | | | | | | (1074) op2(e21, e23) = all_4_106
% 52.05/8.41 | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | GROUND_INST: instantiating (70) with e24, all_4_106, e23, e21,
% 52.05/8.41 | | | | | | | | | | simplifying with (44), (1074) gives:
% 52.05/8.41 | | | | | | | | | | (1075) all_4_106 = e24
% 52.05/8.41 | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | REDUCE: (1027), (1075) imply:
% 52.05/8.41 | | | | | | | | | | (1076) $false
% 52.05/8.41 | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | CLOSE: (1076) is inconsistent.
% 52.05/8.41 | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | Case 2:
% 52.05/8.41 | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | (1077) all_4_109 = e22 | all_4_109 = e20 | all_4_109 =
% 52.05/8.41 | | | | | | | | | | e21
% 52.05/8.41 | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | BETA: splitting (959) gives:
% 52.05/8.41 | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | Case 1:
% 52.05/8.41 | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | (1078) all_4_107 = e23
% 52.05/8.41 | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | REDUCE: (1070), (1078) imply:
% 52.05/8.41 | | | | | | | | | | | (1079) op2(e21, e23) = all_4_108
% 52.05/8.41 | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | GROUND_INST: instantiating (70) with e24, all_4_108, e23, e21,
% 52.05/8.41 | | | | | | | | | | | simplifying with (44), (1079) gives:
% 52.05/8.41 | | | | | | | | | | | (1080) all_4_108 = e24
% 52.05/8.41 | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | REDUCE: (890), (1080) imply:
% 52.05/8.41 | | | | | | | | | | | (1081) $false
% 52.05/8.41 | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | CLOSE: (1081) is inconsistent.
% 52.05/8.41 | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | Case 2:
% 52.05/8.41 | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | (1082) ~ (all_4_107 = e23)
% 52.05/8.41 | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | BETA: splitting (1077) gives:
% 52.05/8.41 | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | Case 1:
% 52.05/8.41 | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | (1083) all_4_109 = e22
% 52.05/8.41 | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | REDUCE: (1072), (1083) imply:
% 52.05/8.41 | | | | | | | | | | | | (1084) op2(e22, e21) = all_4_107
% 52.05/8.41 | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | GROUND_INST: instantiating (70) with e24, all_4_107, e21, e22,
% 52.05/8.41 | | | | | | | | | | | | simplifying with (51), (1084) gives:
% 52.05/8.41 | | | | | | | | | | | | (1085) all_4_107 = e24
% 52.05/8.41 | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | REDUCE: (958), (1085) imply:
% 52.05/8.41 | | | | | | | | | | | | (1086) $false
% 52.05/8.41 | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | CLOSE: (1086) is inconsistent.
% 52.05/8.41 | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | Case 2:
% 52.05/8.41 | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | (1087) all_4_109 = e20 | all_4_109 = e21
% 52.05/8.41 | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | BETA: splitting (1087) gives:
% 52.05/8.41 | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | Case 1:
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | | (1088) all_4_109 = e20
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | | REDUCE: (1072), (1088) imply:
% 52.05/8.41 | | | | | | | | | | | | | (1089) op2(e20, e21) = all_4_107
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e23, all_4_107, e21, e20,
% 52.05/8.41 | | | | | | | | | | | | | simplifying with (46), (1089) gives:
% 52.05/8.41 | | | | | | | | | | | | | (1090) all_4_107 = e23
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | | REDUCE: (1082), (1090) imply:
% 52.05/8.41 | | | | | | | | | | | | | (1091) $false
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | | CLOSE: (1091) is inconsistent.
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | Case 2:
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | | (1092) all_4_109 = e21
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | | REDUCE: (165), (1092) imply:
% 52.05/8.41 | | | | | | | | | | | | | (1093) j(e21) = e10
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | | GROUND_INST: instantiating (67) with e14, e10, e21, simplifying
% 52.05/8.41 | | | | | | | | | | | | | with (1069), (1093) gives:
% 52.05/8.41 | | | | | | | | | | | | | (1094) e14 = e10
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | | REDUCE: (8), (1094) imply:
% 52.05/8.41 | | | | | | | | | | | | | (1095) $false
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | | CLOSE: (1095) is inconsistent.
% 52.05/8.41 | | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | | End of split
% 52.05/8.41 | | | | | | | | | | | |
% 52.05/8.41 | | | | | | | | | | | End of split
% 52.05/8.41 | | | | | | | | | | |
% 52.92/8.41 | | | | | | | | | | End of split
% 52.92/8.41 | | | | | | | | | |
% 52.92/8.41 | | | | | | | | | End of split
% 52.92/8.41 | | | | | | | | |
% 52.92/8.41 | | | | | | | | Case 2:
% 52.92/8.41 | | | | | | | | |
% 52.92/8.41 | | | | | | | | | (1096) ~ (all_4_103 = e14)
% 52.92/8.41 | | | | | | | | |
% 52.92/8.41 | | | | | | | | | BETA: splitting (234) gives:
% 52.92/8.41 | | | | | | | | |
% 52.92/8.41 | | | | | | | | | Case 1:
% 52.92/8.41 | | | | | | | | | |
% 52.92/8.41 | | | | | | | | | | (1097) all_4_105 = e24
% 52.92/8.41 | | | | | | | | | |
% 52.92/8.41 | | | | | | | | | | REDUCE: (169), (1097) imply:
% 52.92/8.41 | | | | | | | | | | (1098) j(e24) = e14
% 52.92/8.41 | | | | | | | | | |
% 52.92/8.41 | | | | | | | | | | REDUCE: (482), (1097) imply:
% 52.92/8.42 | | | | | | | | | | (1099) op2(e24, all_4_106) = all_4_109
% 52.92/8.42 | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | REDUCE: (483), (1097) imply:
% 52.92/8.42 | | | | | | | | | | (1100) op2(e24, all_4_107) = all_4_108
% 52.92/8.42 | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | REDUCE: (484), (1097) imply:
% 52.92/8.42 | | | | | | | | | | (1101) op2(e24, all_4_108) = all_4_107
% 52.92/8.42 | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | REDUCE: (485), (1097) imply:
% 52.92/8.42 | | | | | | | | | | (1102) op2(e24, all_4_109) = all_4_106
% 52.92/8.42 | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | REDUCE: (490), (1097) imply:
% 52.92/8.42 | | | | | | | | | | (1103) op2(all_4_107, e24) = all_4_106
% 52.92/8.42 | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | REDUCE: (494), (1097) imply:
% 52.92/8.42 | | | | | | | | | | (1104) op2(all_4_108, e24) = all_4_109
% 52.92/8.42 | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | REDUCE: (498), (1097) imply:
% 52.92/8.42 | | | | | | | | | | (1105) op2(all_4_109, e24) = all_4_107
% 52.92/8.42 | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | GROUND_INST: instantiating (67) with all_4_100, e14, e24,
% 52.92/8.42 | | | | | | | | | | simplifying with (164), (1098) gives:
% 52.92/8.42 | | | | | | | | | | (1106) all_4_100 = e14
% 52.92/8.42 | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | REDUCE: (502), (1106) imply:
% 52.92/8.42 | | | | | | | | | | (1107) op1(e14, all_4_101) = all_4_103
% 52.92/8.42 | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | REDUCE: (504), (1106) imply:
% 52.92/8.42 | | | | | | | | | | (1108) op1(e14, all_4_103) = all_4_102
% 52.92/8.42 | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | REDUCE: (506), (1106) imply:
% 52.92/8.42 | | | | | | | | | | (1109) op1(all_4_101, e14) = all_4_102
% 52.92/8.42 | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | REDUCE: (509), (1106) imply:
% 52.92/8.42 | | | | | | | | | | (1110) op1(all_4_102, e14) = all_4_101
% 52.92/8.42 | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | BETA: splitting (637) gives:
% 52.92/8.42 | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | Case 1:
% 52.92/8.42 | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | (1111) all_4_109 = e23
% 52.92/8.42 | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | REDUCE: (1105), (1111) imply:
% 52.92/8.42 | | | | | | | | | | | (1112) op2(e23, e24) = all_4_107
% 52.92/8.42 | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | REDUCE: (1099), (1111) imply:
% 52.92/8.42 | | | | | | | | | | | (1113) op2(e24, all_4_106) = e23
% 52.92/8.42 | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | REDUCE: (1102), (1111) imply:
% 52.92/8.42 | | | | | | | | | | | (1114) op2(e24, e23) = all_4_106
% 52.92/8.42 | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | GROUND_INST: instantiating (70) with e22, all_4_107, e24, e23,
% 52.92/8.42 | | | | | | | | | | | simplifying with (60), (1112) gives:
% 52.92/8.42 | | | | | | | | | | | (1115) all_4_107 = e22
% 52.92/8.42 | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | GROUND_INST: instantiating (70) with e21, all_4_106, e23, e24,
% 52.92/8.42 | | | | | | | | | | | simplifying with (64), (1114) gives:
% 52.92/8.42 | | | | | | | | | | | (1116) all_4_106 = e21
% 52.92/8.42 | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | REDUCE: (1103), (1115), (1116) imply:
% 52.92/8.42 | | | | | | | | | | | (1117) op2(e22, e24) = e21
% 52.92/8.42 | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | REDUCE: (1113), (1116) imply:
% 52.92/8.42 | | | | | | | | | | | (1118) op2(e24, e21) = e23
% 52.92/8.42 | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | REF_CLOSE: (11), (55), (61), (70), (1117), (1118) are
% 52.92/8.42 | | | | | | | | | | | inconsistent by sub-proof #21.
% 52.92/8.42 | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | Case 2:
% 52.92/8.42 | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | (1119) ~ (all_4_109 = e23)
% 52.92/8.42 | | | | | | | | | | | (1120) all_4_109 = e22 | all_4_109 = e20 | all_4_109 =
% 52.92/8.42 | | | | | | | | | | | e21
% 52.92/8.42 | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | BETA: splitting (745) gives:
% 52.92/8.42 | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | Case 1:
% 52.92/8.42 | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | (1121) all_4_102 = e13
% 52.92/8.42 | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | REDUCE: (202), (1121) imply:
% 52.92/8.42 | | | | | | | | | | | | (1122) h(e13) = e22
% 52.92/8.42 | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | REF_CLOSE: (14), (23), (48), (51), (58), (67), (68), (69),
% 52.92/8.42 | | | | | | | | | | | | (70), (162), (165), (195), (198), (202), (203),
% 52.92/8.42 | | | | | | | | | | | | (487), (489), (495), (499), (510), (636), (818),
% 52.92/8.42 | | | | | | | | | | | | (890), (891), (958), (1065), (1119), (1120),
% 52.92/8.42 | | | | | | | | | | | | (1122) are inconsistent by sub-proof #1.
% 52.92/8.42 | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | Case 2:
% 52.92/8.42 | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | (1123) ~ (all_4_102 = e13)
% 52.92/8.42 | | | | | | | | | | | | (1124) all_4_102 = e12 | all_4_102 = e10 | all_4_102 =
% 52.92/8.42 | | | | | | | | | | | | e11
% 52.92/8.42 | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | BETA: splitting (818) gives:
% 52.92/8.42 | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | Case 1:
% 52.92/8.42 | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | (1125) all_4_101 = e13
% 52.92/8.42 | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | REDUCE: (1109), (1125) imply:
% 52.92/8.42 | | | | | | | | | | | | | (1126) op1(e13, e14) = all_4_102
% 52.92/8.42 | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | REDUCE: (1110), (1125) imply:
% 52.92/8.42 | | | | | | | | | | | | | (1127) op1(all_4_102, e14) = e13
% 52.92/8.42 | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | REDUCE: (1107), (1125) imply:
% 52.92/8.42 | | | | | | | | | | | | | (1128) op1(e14, e13) = all_4_103
% 52.92/8.42 | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | GROUND_INST: instantiating (69) with e11, all_4_102, e14, e13,
% 52.92/8.42 | | | | | | | | | | | | | simplifying with (35), (1126) gives:
% 52.92/8.42 | | | | | | | | | | | | | (1129) all_4_102 = e11
% 52.92/8.42 | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | GROUND_INST: instantiating (69) with e10, all_4_103, e13, e14,
% 52.92/8.42 | | | | | | | | | | | | | simplifying with (39), (1128) gives:
% 52.92/8.42 | | | | | | | | | | | | | (1130) all_4_103 = e10
% 52.92/8.42 | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | REDUCE: (1127), (1129) imply:
% 52.92/8.42 | | | | | | | | | | | | | (1131) op1(e11, e14) = e13
% 52.92/8.42 | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | REDUCE: (1108), (1129), (1130) imply:
% 52.92/8.42 | | | | | | | | | | | | | (1132) op1(e14, e10) = e11
% 52.92/8.42 | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | REF_CLOSE: (1), (20), (37), (69), (1131), (1132) are
% 52.92/8.42 | | | | | | | | | | | | | inconsistent by sub-proof #13.
% 52.92/8.42 | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | Case 2:
% 52.92/8.42 | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | (1133) ~ (all_4_101 = e13)
% 52.92/8.42 | | | | | | | | | | | | | (1134) all_4_101 = e12 | all_4_101 = e10 | all_4_101 =
% 52.92/8.42 | | | | | | | | | | | | | e11
% 52.92/8.42 | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | BETA: splitting (891) gives:
% 52.92/8.42 | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | Case 1:
% 52.92/8.42 | | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | | (1135) all_4_108 = e23
% 52.92/8.42 | | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | | REDUCE: (1104), (1135) imply:
% 52.92/8.42 | | | | | | | | | | | | | | (1136) op2(e23, e24) = all_4_109
% 52.92/8.42 | | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | | REDUCE: (1100), (1135) imply:
% 52.92/8.42 | | | | | | | | | | | | | | (1137) op2(e24, all_4_107) = e23
% 52.92/8.42 | | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | | REDUCE: (1101), (1135) imply:
% 52.92/8.42 | | | | | | | | | | | | | | (1138) op2(e24, e23) = all_4_107
% 52.92/8.42 | | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e22, all_4_109, e24, e23,
% 52.92/8.42 | | | | | | | | | | | | | | simplifying with (60), (1136) gives:
% 52.92/8.42 | | | | | | | | | | | | | | (1139) all_4_109 = e22
% 52.92/8.42 | | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e21, all_4_107, e23, e24,
% 52.92/8.42 | | | | | | | | | | | | | | simplifying with (64), (1138) gives:
% 52.92/8.42 | | | | | | | | | | | | | | (1140) all_4_107 = e21
% 52.92/8.42 | | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | | REDUCE: (1105), (1139), (1140) imply:
% 52.92/8.42 | | | | | | | | | | | | | | (1141) op2(e22, e24) = e21
% 52.92/8.42 | | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | | REDUCE: (1137), (1140) imply:
% 52.92/8.42 | | | | | | | | | | | | | | (1142) op2(e24, e21) = e23
% 52.92/8.42 | | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | | REF_CLOSE: (11), (55), (61), (70), (1141), (1142) are
% 52.92/8.42 | | | | | | | | | | | | | | inconsistent by sub-proof #21.
% 52.92/8.42 | | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | Case 2:
% 52.92/8.42 | | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | | (1143) ~ (all_4_108 = e23)
% 52.92/8.42 | | | | | | | | | | | | | | (1144) all_4_108 = e22 | all_4_108 = e20 | all_4_108 =
% 52.92/8.42 | | | | | | | | | | | | | | e21
% 52.92/8.42 | | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | | BETA: splitting (959) gives:
% 52.92/8.42 | | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | | Case 1:
% 52.92/8.42 | | | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | | | (1145) all_4_107 = e23
% 52.92/8.42 | | | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | | | REDUCE: (1103), (1145) imply:
% 52.92/8.42 | | | | | | | | | | | | | | | (1146) op2(e23, e24) = all_4_106
% 52.92/8.42 | | | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e22, all_4_106, e24, e23,
% 52.92/8.42 | | | | | | | | | | | | | | | simplifying with (60), (1146) gives:
% 52.92/8.42 | | | | | | | | | | | | | | | (1147) all_4_106 = e22
% 52.92/8.42 | | | | | | | | | | | | | | |
% 52.92/8.42 | | | | | | | | | | | | | | | REDUCE: (168), (1147) imply:
% 52.92/8.43 | | | | | | | | | | | | | | | (1148) j(e22) = e13
% 52.92/8.43 | | | | | | | | | | | | | | |
% 52.92/8.43 | | | | | | | | | | | | | | | REF_CLOSE: (67), (162), (1123), (1148) are inconsistent by
% 52.92/8.43 | | | | | | | | | | | | | | | sub-proof #4.
% 52.92/8.43 | | | | | | | | | | | | | | |
% 52.92/8.43 | | | | | | | | | | | | | | Case 2:
% 52.92/8.43 | | | | | | | | | | | | | | |
% 52.92/8.43 | | | | | | | | | | | | | | | (1149) ~ (all_4_107 = e23)
% 52.92/8.43 | | | | | | | | | | | | | | |
% 52.92/8.43 | | | | | | | | | | | | | | | BETA: splitting (1028) gives:
% 52.92/8.43 | | | | | | | | | | | | | | |
% 52.92/8.43 | | | | | | | | | | | | | | | Case 1:
% 52.92/8.43 | | | | | | | | | | | | | | | |
% 52.92/8.43 | | | | | | | | | | | | | | | | (1150) all_4_106 = e23
% 52.92/8.43 | | | | | | | | | | | | | | | |
% 52.92/8.43 | | | | | | | | | | | | | | | | REF_CLOSE: (67), (163), (168), (1133), (1150) are
% 52.92/8.43 | | | | | | | | | | | | | | | | inconsistent by sub-proof #7.
% 52.92/8.43 | | | | | | | | | | | | | | | |
% 52.92/8.43 | | | | | | | | | | | | | | | Case 2:
% 52.92/8.43 | | | | | | | | | | | | | | | |
% 52.92/8.43 | | | | | | | | | | | | | | | | (1151) ~ (all_4_106 = e23)
% 52.97/8.43 | | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | | BETA: splitting (1120) gives:
% 52.97/8.43 | | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | | Case 1:
% 52.97/8.43 | | | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | | | (1152) all_4_109 = e22
% 52.97/8.43 | | | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | | | REDUCE: (1105), (1152) imply:
% 52.97/8.43 | | | | | | | | | | | | | | | | | (1153) op2(e22, e24) = all_4_107
% 52.97/8.43 | | | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | | | REF_CLOSE: (55), (70), (1149), (1153) are inconsistent by
% 52.97/8.43 | | | | | | | | | | | | | | | | | sub-proof #6.
% 52.97/8.43 | | | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | | Case 2:
% 52.97/8.43 | | | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | | | (1154) all_4_109 = e20 | all_4_109 = e21
% 52.97/8.43 | | | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | | | BETA: splitting (1124) gives:
% 52.97/8.43 | | | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | | | Case 1:
% 52.97/8.43 | | | | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | | | | (1155) all_4_102 = e12
% 52.97/8.43 | | | | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | | | | REDUCE: (1110), (1155) imply:
% 52.97/8.43 | | | | | | | | | | | | | | | | | | (1156) op1(e12, e14) = all_4_101
% 52.97/8.43 | | | | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (69) with e13, all_4_101, e14, e12,
% 52.97/8.43 | | | | | | | | | | | | | | | | | | simplifying with (30), (1156) gives:
% 52.97/8.43 | | | | | | | | | | | | | | | | | | (1157) all_4_101 = e13
% 52.97/8.43 | | | | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | | | | REDUCE: (1133), (1157) imply:
% 52.97/8.43 | | | | | | | | | | | | | | | | | | (1158) $false
% 52.97/8.43 | | | | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | | | | CLOSE: (1158) is inconsistent.
% 52.97/8.43 | | | | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | | | Case 2:
% 52.97/8.43 | | | | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | | | | (1159) all_4_102 = e10 | all_4_102 = e11
% 52.97/8.43 | | | | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (23), (43), (48), (67), (68), (69), (70),
% 52.97/8.43 | | | | | | | | | | | | | | | | | | (162), (195), (202), (203), (501), (510), (1027),
% 52.97/8.43 | | | | | | | | | | | | | | | | | | (1065), (1134), (1143), (1144), (1151), (1154),
% 52.97/8.43 | | | | | | | | | | | | | | | | | | (1159) are inconsistent by sub-proof #3.
% 52.97/8.43 | | | | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | | | End of split
% 52.97/8.43 | | | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | | End of split
% 52.97/8.43 | | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | End of split
% 52.97/8.43 | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | End of split
% 52.97/8.43 | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | End of split
% 52.97/8.43 | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | End of split
% 52.97/8.43 | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | End of split
% 52.97/8.43 | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | End of split
% 52.97/8.43 | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | Case 2:
% 52.97/8.43 | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | (1160) ~ (all_4_105 = e24)
% 52.97/8.43 | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | BETA: splitting (239) gives:
% 52.97/8.43 | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | Case 1:
% 52.97/8.43 | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | (1161) all_4_100 = e14
% 52.97/8.43 | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | REDUCE: (204), (1161) imply:
% 52.97/8.43 | | | | | | | | | | | (1162) h(e14) = e24
% 52.97/8.43 | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | GROUND_INST: instantiating (68) with all_4_105, e24, e14,
% 52.97/8.43 | | | | | | | | | | | simplifying with (199), (1162) gives:
% 52.97/8.43 | | | | | | | | | | | (1163) all_4_105 = e24
% 52.97/8.43 | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | REDUCE: (1160), (1163) imply:
% 52.97/8.43 | | | | | | | | | | | (1164) $false
% 52.97/8.43 | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | CLOSE: (1164) is inconsistent.
% 52.97/8.43 | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | Case 2:
% 52.97/8.43 | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | (1165) ~ (all_4_100 = e14)
% 52.97/8.43 | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | BETA: splitting (637) gives:
% 52.97/8.43 | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | Case 1:
% 52.97/8.43 | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | (1166) all_4_109 = e23
% 52.97/8.43 | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | REDUCE: (165), (1166) imply:
% 52.97/8.43 | | | | | | | | | | | | (1167) j(e23) = e10
% 52.97/8.43 | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | REDUCE: (501), (1166) imply:
% 52.97/8.43 | | | | | | | | | | | | (1168) op2(e23, all_4_108) = all_4_106
% 52.97/8.43 | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | REF_CLOSE: (1), (14), (23), (32), (51), (58), (67), (68),
% 52.97/8.43 | | | | | | | | | | | | (69), (70), (163), (166), (195), (202), (203),
% 52.97/8.43 | | | | | | | | | | | | (495), (507), (508), (510), (745), (891), (958),
% 52.97/8.43 | | | | | | | | | | | | (1096), (1165), (1167), (1168) are inconsistent by
% 52.97/8.43 | | | | | | | | | | | | sub-proof #8.
% 52.97/8.43 | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | Case 2:
% 52.97/8.43 | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | (1169) ~ (all_4_109 = e23)
% 52.97/8.43 | | | | | | | | | | | | (1170) all_4_109 = e22 | all_4_109 = e20 | all_4_109 =
% 52.97/8.43 | | | | | | | | | | | | e21
% 52.97/8.43 | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | BETA: splitting (745) gives:
% 52.97/8.43 | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | Case 1:
% 52.97/8.43 | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | (1171) all_4_102 = e13
% 52.97/8.43 | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | REDUCE: (202), (1171) imply:
% 52.97/8.43 | | | | | | | | | | | | | (1172) h(e13) = e22
% 52.97/8.43 | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | REF_CLOSE: (14), (23), (48), (51), (58), (67), (68), (69),
% 52.97/8.43 | | | | | | | | | | | | | (70), (162), (165), (195), (198), (202), (203),
% 52.97/8.43 | | | | | | | | | | | | | (487), (489), (495), (499), (510), (636), (818),
% 52.97/8.43 | | | | | | | | | | | | | (890), (891), (958), (1065), (1169), (1170),
% 52.97/8.43 | | | | | | | | | | | | | (1172) are inconsistent by sub-proof #1.
% 52.97/8.43 | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | Case 2:
% 52.97/8.43 | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | (1173) ~ (all_4_102 = e13)
% 52.97/8.43 | | | | | | | | | | | | | (1174) all_4_102 = e12 | all_4_102 = e10 | all_4_102 =
% 52.97/8.43 | | | | | | | | | | | | | e11
% 52.97/8.43 | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | BETA: splitting (818) gives:
% 52.97/8.43 | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | Case 1:
% 52.97/8.43 | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | (1175) all_4_101 = e13
% 52.97/8.43 | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | REDUCE: (203), (1175) imply:
% 52.97/8.43 | | | | | | | | | | | | | | (1176) h(e13) = e23
% 52.97/8.43 | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | GROUND_INST: instantiating (68) with all_4_106, e23, e13,
% 52.97/8.43 | | | | | | | | | | | | | | simplifying with (198), (1176) gives:
% 52.97/8.43 | | | | | | | | | | | | | | (1177) all_4_106 = e23
% 52.97/8.43 | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | REDUCE: (489), (1177) imply:
% 52.97/8.43 | | | | | | | | | | | | | | (1178) op2(e23, all_4_109) = all_4_107
% 52.97/8.43 | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | REDUCE: (499), (1177) imply:
% 52.97/8.43 | | | | | | | | | | | | | | (1179) op2(all_4_109, e23) = all_4_108
% 52.97/8.43 | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | BETA: splitting (1170) gives:
% 52.97/8.43 | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | Case 1:
% 52.97/8.43 | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | (1180) all_4_109 = e22
% 52.97/8.43 | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | REDUCE: (497), (1180) imply:
% 52.97/8.43 | | | | | | | | | | | | | | | (1181) op2(all_4_108, e22) = all_4_105
% 52.97/8.43 | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | REDUCE: (1179), (1180) imply:
% 52.97/8.43 | | | | | | | | | | | | | | | (1182) op2(e22, e23) = all_4_108
% 52.97/8.43 | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e20, all_4_108, e23, e22,
% 52.97/8.43 | | | | | | | | | | | | | | | simplifying with (54), (1182) gives:
% 52.97/8.43 | | | | | | | | | | | | | | | (1183) all_4_108 = e20
% 52.97/8.43 | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | REDUCE: (1181), (1183) imply:
% 52.97/8.43 | | | | | | | | | | | | | | | (1184) op2(e20, e22) = all_4_105
% 52.97/8.43 | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e24, all_4_105, e22, e20,
% 52.97/8.43 | | | | | | | | | | | | | | | simplifying with (48), (1184) gives:
% 52.97/8.43 | | | | | | | | | | | | | | | (1185) all_4_105 = e24
% 52.97/8.43 | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | REDUCE: (1160), (1185) imply:
% 52.97/8.43 | | | | | | | | | | | | | | | (1186) $false
% 52.97/8.43 | | | | | | | | | | | | | | |
% 52.97/8.43 | | | | | | | | | | | | | | | CLOSE: (1186) is inconsistent.
% 52.97/8.43 | | | | | | | | | | | | | | |
% 52.97/8.44 | | | | | | | | | | | | | | Case 2:
% 52.97/8.44 | | | | | | | | | | | | | | |
% 52.97/8.44 | | | | | | | | | | | | | | | (1187) all_4_109 = e20 | all_4_109 = e21
% 52.97/8.44 | | | | | | | | | | | | | | |
% 52.97/8.44 | | | | | | | | | | | | | | | BETA: splitting (1187) gives:
% 52.97/8.44 | | | | | | | | | | | | | | |
% 52.97/8.44 | | | | | | | | | | | | | | | Case 1:
% 52.97/8.44 | | | | | | | | | | | | | | | |
% 52.97/8.44 | | | | | | | | | | | | | | | | (1188) all_4_109 = e20
% 52.97/8.44 | | | | | | | | | | | | | | | |
% 52.97/8.44 | | | | | | | | | | | | | | | | REDUCE: (1178), (1188) imply:
% 52.97/8.44 | | | | | | | | | | | | | | | | (1189) op2(e23, e20) = all_4_107
% 52.97/8.44 | | | | | | | | | | | | | | | |
% 52.97/8.44 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e24, all_4_107, e20, e23,
% 52.97/8.44 | | | | | | | | | | | | | | | | simplifying with (57), (1189) gives:
% 52.97/8.44 | | | | | | | | | | | | | | | | (1190) all_4_107 = e24
% 52.97/8.44 | | | | | | | | | | | | | | | |
% 52.97/8.44 | | | | | | | | | | | | | | | | REDUCE: (958), (1190) imply:
% 52.97/8.44 | | | | | | | | | | | | | | | | (1191) $false
% 52.97/8.44 | | | | | | | | | | | | | | | |
% 52.97/8.44 | | | | | | | | | | | | | | | | CLOSE: (1191) is inconsistent.
% 52.97/8.44 | | | | | | | | | | | | | | | |
% 52.97/8.44 | | | | | | | | | | | | | | | Case 2:
% 52.97/8.44 | | | | | | | | | | | | | | | |
% 52.97/8.44 | | | | | | | | | | | | | | | | (1192) all_4_109 = e21
% 52.97/8.44 | | | | | | | | | | | | | | | |
% 52.97/8.44 | | | | | | | | | | | | | | | | REDUCE: (1179), (1192) imply:
% 52.97/8.44 | | | | | | | | | | | | | | | | (1193) op2(e21, e23) = all_4_108
% 52.97/8.44 | | | | | | | | | | | | | | | |
% 52.97/8.44 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e24, all_4_108, e23, e21,
% 52.97/8.44 | | | | | | | | | | | | | | | | simplifying with (44), (1193) gives:
% 52.97/8.44 | | | | | | | | | | | | | | | | (1194) all_4_108 = e24
% 52.97/8.44 | | | | | | | | | | | | | | | |
% 52.97/8.44 | | | | | | | | | | | | | | | | REDUCE: (890), (1194) imply:
% 52.97/8.44 | | | | | | | | | | | | | | | | (1195) $false
% 52.97/8.44 | | | | | | | | | | | | | | | |
% 52.97/8.44 | | | | | | | | | | | | | | | | CLOSE: (1195) is inconsistent.
% 52.97/8.44 | | | | | | | | | | | | | | | |
% 52.97/8.44 | | | | | | | | | | | | | | | End of split
% 52.97/8.44 | | | | | | | | | | | | | | |
% 52.97/8.44 | | | | | | | | | | | | | | End of split
% 52.97/8.44 | | | | | | | | | | | | | |
% 52.97/8.44 | | | | | | | | | | | | | Case 2:
% 52.97/8.44 | | | | | | | | | | | | | |
% 52.97/8.44 | | | | | | | | | | | | | | (1196) ~ (all_4_101 = e13)
% 52.97/8.44 | | | | | | | | | | | | | | (1197) all_4_101 = e12 | all_4_101 = e10 | all_4_101 =
% 52.97/8.44 | | | | | | | | | | | | | | e11
% 52.97/8.45 | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | BETA: splitting (891) gives:
% 52.97/8.45 | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | Case 1:
% 52.97/8.45 | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | (1198) all_4_108 = e23
% 52.97/8.45 | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | REDUCE: (497), (1198) imply:
% 52.97/8.45 | | | | | | | | | | | | | | | (1199) op2(e23, all_4_109) = all_4_105
% 52.97/8.45 | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | REDUCE: (501), (1198) imply:
% 52.97/8.45 | | | | | | | | | | | | | | | (1200) op2(all_4_109, e23) = all_4_106
% 52.97/8.45 | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | BETA: splitting (1028) gives:
% 52.97/8.45 | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | Case 1:
% 52.97/8.45 | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | (1201) all_4_106 = e23
% 52.97/8.45 | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | REF_CLOSE: (67), (163), (168), (1196), (1201) are
% 52.97/8.45 | | | | | | | | | | | | | | | | inconsistent by sub-proof #7.
% 52.97/8.45 | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | Case 2:
% 52.97/8.45 | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | (1202) all_4_106 = e22 | all_4_106 = e20 | all_4_106 =
% 52.97/8.45 | | | | | | | | | | | | | | | | e21
% 52.97/8.45 | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | BETA: splitting (1170) gives:
% 52.97/8.45 | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | Case 1:
% 52.97/8.45 | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | (1203) all_4_109 = e22
% 52.97/8.45 | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | REDUCE: (498), (1203) imply:
% 52.97/8.45 | | | | | | | | | | | | | | | | | (1204) op2(e22, all_4_105) = all_4_107
% 52.97/8.45 | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | REDUCE: (1199), (1203) imply:
% 52.97/8.45 | | | | | | | | | | | | | | | | | (1205) op2(e23, e22) = all_4_105
% 52.97/8.45 | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e21, all_4_105, e22, e23,
% 52.97/8.45 | | | | | | | | | | | | | | | | | simplifying with (58), (1205) gives:
% 52.97/8.45 | | | | | | | | | | | | | | | | | (1206) all_4_105 = e21
% 52.97/8.45 | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | REDUCE: (1204), (1206) imply:
% 52.97/8.45 | | | | | | | | | | | | | | | | | (1207) op2(e22, e21) = all_4_107
% 52.97/8.45 | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (70), (958), (1207) are inconsistent by
% 52.97/8.45 | | | | | | | | | | | | | | | | | sub-proof #9.
% 52.97/8.45 | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | Case 2:
% 52.97/8.45 | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | (1208) all_4_109 = e20 | all_4_109 = e21
% 52.97/8.45 | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | BETA: splitting (1202) gives:
% 52.97/8.45 | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | Case 1:
% 52.97/8.45 | | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | | (1209) all_4_106 = e22
% 52.97/8.45 | | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | | REDUCE: (168), (1209) imply:
% 52.97/8.45 | | | | | | | | | | | | | | | | | | (1210) j(e22) = e13
% 52.97/8.45 | | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | | REF_CLOSE: (67), (162), (1173), (1210) are inconsistent by
% 52.97/8.45 | | | | | | | | | | | | | | | | | | sub-proof #4.
% 52.97/8.45 | | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | Case 2:
% 52.97/8.45 | | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | | (1211) ~ (all_4_106 = e22)
% 52.97/8.45 | | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | | BETA: splitting (1208) gives:
% 52.97/8.45 | | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | | Case 1:
% 52.97/8.45 | | | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | | | (1212) all_4_109 = e20
% 52.97/8.45 | | | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | | | REDUCE: (1200), (1212) imply:
% 52.97/8.45 | | | | | | | | | | | | | | | | | | | (1213) op2(e20, e23) = all_4_106
% 52.97/8.45 | | | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e22, all_4_106, e23, e20,
% 52.97/8.45 | | | | | | | | | | | | | | | | | | | simplifying with (49), (1213) gives:
% 52.97/8.45 | | | | | | | | | | | | | | | | | | | (1214) all_4_106 = e22
% 52.97/8.45 | | | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | | | REDUCE: (1211), (1214) imply:
% 52.97/8.45 | | | | | | | | | | | | | | | | | | | (1215) $false
% 52.97/8.45 | | | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | | | CLOSE: (1215) is inconsistent.
% 52.97/8.45 | | | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | | Case 2:
% 52.97/8.45 | | | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | | | (1216) all_4_109 = e21
% 52.97/8.45 | | | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | | | REDUCE: (1200), (1216) imply:
% 52.97/8.45 | | | | | | | | | | | | | | | | | | | (1217) op2(e21, e23) = all_4_106
% 52.97/8.45 | | | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e24, all_4_106, e23, e21,
% 52.97/8.45 | | | | | | | | | | | | | | | | | | | simplifying with (44), (1217) gives:
% 52.97/8.45 | | | | | | | | | | | | | | | | | | | (1218) all_4_106 = e24
% 52.97/8.45 | | | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | | | REDUCE: (1027), (1218) imply:
% 52.97/8.45 | | | | | | | | | | | | | | | | | | | (1219) $false
% 52.97/8.45 | | | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | | | CLOSE: (1219) is inconsistent.
% 52.97/8.45 | | | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | | End of split
% 52.97/8.45 | | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | | End of split
% 52.97/8.45 | | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | | End of split
% 52.97/8.45 | | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | End of split
% 52.97/8.45 | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | Case 2:
% 52.97/8.45 | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | (1220) ~ (all_4_108 = e23)
% 52.97/8.45 | | | | | | | | | | | | | | | (1221) all_4_108 = e22 | all_4_108 = e20 | all_4_108 =
% 52.97/8.45 | | | | | | | | | | | | | | | e21
% 52.97/8.45 | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | | REF_CLOSE: (14), (23), (43), (48), (51), (67), (68), (69),
% 52.97/8.45 | | | | | | | | | | | | | | | (70), (162), (163), (165), (168), (195), (197),
% 52.97/8.45 | | | | | | | | | | | | | | | (202), (203), (493), (500), (501), (510), (890),
% 52.97/8.45 | | | | | | | | | | | | | | | (1027), (1028), (1065), (1160), (1169), (1170),
% 52.97/8.45 | | | | | | | | | | | | | | | (1174), (1196), (1197), (1220), (1221) are
% 52.97/8.45 | | | | | | | | | | | | | | | inconsistent by sub-proof #2.
% 52.97/8.45 | | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | | End of split
% 52.97/8.45 | | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | | End of split
% 52.97/8.45 | | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | | End of split
% 52.97/8.45 | | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | | End of split
% 52.97/8.45 | | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | | End of split
% 52.97/8.45 | | | | | | | | | |
% 52.97/8.45 | | | | | | | | | End of split
% 52.97/8.45 | | | | | | | | |
% 52.97/8.45 | | | | | | | | End of split
% 52.97/8.45 | | | | | | | |
% 52.97/8.45 | | | | | | | End of split
% 52.97/8.45 | | | | | | |
% 52.97/8.45 | | | | | | End of split
% 52.97/8.45 | | | | | |
% 52.97/8.45 | | | | | End of split
% 52.97/8.45 | | | | |
% 52.97/8.45 | | | | End of split
% 52.97/8.45 | | | |
% 52.97/8.45 | | | End of split
% 52.97/8.45 | | |
% 52.97/8.45 | | End of split
% 52.97/8.45 | |
% 52.97/8.45 | End of split
% 52.97/8.45 |
% 52.97/8.45 End of proof
% 52.97/8.45
% 52.97/8.45 Sub-proof #1 shows that the following formulas are inconsistent:
% 52.97/8.45 ----------------------------------------------------------------
% 52.97/8.45 (1) ~ (all_4_109 = e24)
% 52.97/8.45 (2) h(e13) = all_4_106
% 52.97/8.45 (3) op2(all_4_106, all_4_109) = all_4_107
% 52.97/8.45 (4) ~ (all_4_108 = e24)
% 52.97/8.45 (5) h(all_4_102) = e22
% 52.97/8.45 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) = v1) | ~
% 52.97/8.45 (h(v2) = v0))
% 52.97/8.45 (7) j(all_4_109) = e10
% 52.97/8.45 (8) h(all_4_101) = e23
% 52.97/8.45 (9) h(e11) = all_4_108
% 52.97/8.45 (10) ~ (all_4_104 = e14)
% 52.97/8.45 (11) op2(e23, e22) = e21
% 52.97/8.45 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.97/8.45 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 52.97/8.45 (13) op2(all_4_108, all_4_106) = all_4_107
% 52.97/8.45 (14) op2(all_4_109, all_4_106) = all_4_108
% 52.97/8.46 (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = v1) |
% 52.97/8.46 ~ (j(v2) = v0))
% 52.97/8.46 (16) all_4_109 = e22 | all_4_109 = e20 | all_4_109 = e21
% 52.97/8.46 (17) j(e22) = all_4_102
% 52.97/8.46 (18) op1(all_4_102, all_4_101) = all_4_104
% 52.97/8.46 (19) ~ (e23 = e22)
% 52.97/8.46 (20) op1(e10, e12) = e14
% 52.97/8.46 (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.97/8.46 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 52.97/8.46 (22) h(e13) = e22
% 52.97/8.46 (23) op2(e22, e21) = e24
% 52.97/8.46 (24) ~ (all_4_107 = e24)
% 52.97/8.46 (25) all_4_101 = e13 | all_4_101 = e12 | all_4_101 = e10 | all_4_101 = e11
% 52.97/8.46 (26) op2(e20, e22) = e24
% 52.97/8.46 (27) all_4_108 = e23 | all_4_108 = e22 | all_4_108 = e20 | all_4_108 = e21
% 52.97/8.46 (28) ~ (all_4_109 = e23)
% 52.97/8.46 (29) op2(all_4_106, all_4_107) = all_4_109
% 52.97/8.46
% 52.97/8.46 Begin of proof
% 52.97/8.46 |
% 52.97/8.46 | GROUND_INST: instantiating (6) with all_4_106, e22, e13, simplifying with (2),
% 52.97/8.46 | (22) gives:
% 52.97/8.46 | (30) all_4_106 = e22
% 52.97/8.46 |
% 52.97/8.46 | REDUCE: (29), (30) imply:
% 52.97/8.46 | (31) op2(e22, all_4_107) = all_4_109
% 52.97/8.46 |
% 52.97/8.46 | REDUCE: (3), (30) imply:
% 52.97/8.46 | (32) op2(e22, all_4_109) = all_4_107
% 52.97/8.46 |
% 52.97/8.46 | REDUCE: (13), (30) imply:
% 52.97/8.46 | (33) op2(all_4_108, e22) = all_4_107
% 52.97/8.46 |
% 52.97/8.46 | REDUCE: (14), (30) imply:
% 52.97/8.46 | (34) op2(all_4_109, e22) = all_4_108
% 52.97/8.46 |
% 52.97/8.46 | BETA: splitting (25) gives:
% 52.97/8.46 |
% 52.97/8.46 | Case 1:
% 52.97/8.46 | |
% 52.97/8.46 | | (35) all_4_101 = e13
% 52.97/8.46 | |
% 52.97/8.46 | | REDUCE: (8), (35) imply:
% 52.97/8.46 | | (36) h(e13) = e23
% 52.97/8.46 | |
% 52.97/8.46 | | GROUND_INST: instantiating (6) with e22, e23, e13, simplifying with (22),
% 52.97/8.46 | | (36) gives:
% 52.97/8.46 | | (37) e23 = e22
% 52.97/8.46 | |
% 52.97/8.46 | | REDUCE: (19), (37) imply:
% 52.97/8.46 | | (38) $false
% 52.97/8.46 | |
% 52.97/8.46 | | CLOSE: (38) is inconsistent.
% 52.97/8.46 | |
% 52.97/8.46 | Case 2:
% 52.97/8.46 | |
% 52.97/8.46 | | (39) all_4_101 = e12 | all_4_101 = e10 | all_4_101 = e11
% 52.97/8.46 | |
% 52.97/8.46 | | BETA: splitting (27) gives:
% 52.97/8.46 | |
% 52.97/8.46 | | Case 1:
% 52.97/8.46 | | |
% 52.97/8.46 | | | (40) all_4_108 = e23
% 52.97/8.46 | | |
% 52.97/8.46 | | | REDUCE: (33), (40) imply:
% 52.97/8.46 | | | (41) op2(e23, e22) = all_4_107
% 52.97/8.46 | | |
% 52.97/8.46 | | | GROUND_INST: instantiating (12) with e21, all_4_107, e22, e23, simplifying
% 52.97/8.46 | | | with (11), (41) gives:
% 52.97/8.46 | | | (42) all_4_107 = e21
% 52.97/8.46 | | |
% 52.97/8.46 | | | REDUCE: (31), (42) imply:
% 52.97/8.46 | | | (43) op2(e22, e21) = all_4_109
% 52.97/8.46 | | |
% 52.97/8.46 | | | REF_CLOSE: (1), (12), (23), (43) are inconsistent by sub-proof #11.
% 52.97/8.46 | | |
% 52.97/8.46 | | Case 2:
% 52.97/8.46 | | |
% 52.97/8.46 | | | (44) ~ (all_4_108 = e23)
% 52.97/8.46 | | |
% 52.97/8.46 | | | BETA: splitting (16) gives:
% 52.97/8.46 | | |
% 52.97/8.46 | | | Case 1:
% 52.97/8.46 | | | |
% 52.97/8.46 | | | | (45) all_4_109 = e22
% 52.97/8.46 | | | |
% 52.97/8.46 | | | | REF_CLOSE: (5), (6), (7), (8), (9), (10), (15), (17), (18), (20), (21),
% 52.97/8.46 | | | | (28), (39), (44), (45) are inconsistent by sub-proof #10.
% 52.97/8.46 | | | |
% 52.97/8.46 | | | Case 2:
% 52.97/8.46 | | | |
% 52.97/8.46 | | | | (46) all_4_109 = e20 | all_4_109 = e21
% 52.97/8.46 | | | |
% 52.97/8.46 | | | | BETA: splitting (46) gives:
% 52.97/8.46 | | | |
% 52.97/8.46 | | | | Case 1:
% 52.97/8.46 | | | | |
% 52.97/8.46 | | | | | (47) all_4_109 = e20
% 52.97/8.46 | | | | |
% 52.97/8.46 | | | | | REDUCE: (34), (47) imply:
% 52.97/8.46 | | | | | (48) op2(e20, e22) = all_4_108
% 52.97/8.46 | | | | |
% 52.97/8.46 | | | | | GROUND_INST: instantiating (12) with e24, all_4_108, e22, e20,
% 52.97/8.46 | | | | | simplifying with (26), (48) gives:
% 52.97/8.46 | | | | | (49) all_4_108 = e24
% 52.97/8.46 | | | | |
% 52.97/8.46 | | | | | REDUCE: (4), (49) imply:
% 52.97/8.46 | | | | | (50) $false
% 52.97/8.46 | | | | |
% 52.97/8.46 | | | | | CLOSE: (50) is inconsistent.
% 52.97/8.46 | | | | |
% 52.97/8.46 | | | | Case 2:
% 52.97/8.46 | | | | |
% 52.97/8.46 | | | | | (51) all_4_109 = e21
% 52.97/8.46 | | | | |
% 52.97/8.46 | | | | | REDUCE: (32), (51) imply:
% 52.97/8.46 | | | | | (52) op2(e22, e21) = all_4_107
% 52.97/8.46 | | | | |
% 52.97/8.46 | | | | | REF_CLOSE: (12), (23), (24), (52) are inconsistent by sub-proof #9.
% 52.97/8.46 | | | | |
% 52.97/8.46 | | | | End of split
% 52.97/8.46 | | | |
% 52.97/8.46 | | | End of split
% 52.97/8.46 | | |
% 52.97/8.46 | | End of split
% 52.97/8.46 | |
% 52.97/8.46 | End of split
% 52.97/8.46 |
% 52.97/8.46 End of proof
% 52.97/8.46
% 52.97/8.46 Sub-proof #2 shows that the following formulas are inconsistent:
% 52.97/8.46 ----------------------------------------------------------------
% 52.97/8.46 (1) all_4_108 = e22 | all_4_108 = e20 | all_4_108 = e21
% 52.97/8.46 (2) ~ (all_4_108 = e24)
% 52.97/8.46 (3) all_4_101 = e12 | all_4_101 = e10 | all_4_101 = e11
% 52.97/8.46 (4) h(all_4_102) = e22
% 52.97/8.46 (5) ~ (all_4_105 = e24)
% 52.97/8.46 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) = v1) | ~
% 52.97/8.46 (h(v2) = v0))
% 52.97/8.46 (7) j(all_4_109) = e10
% 52.97/8.46 (8) ~ (all_4_106 = e24)
% 52.97/8.46 (9) h(e12) = all_4_107
% 52.97/8.46 (10) h(all_4_101) = e23
% 52.97/8.46 (11) h(e11) = all_4_108
% 52.97/8.46 (12) ~ (all_4_104 = e14)
% 52.97/8.46 (13) all_4_106 = e23 | all_4_106 = e22 | all_4_106 = e20 | all_4_106 = e21
% 52.97/8.46 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.97/8.46 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 52.97/8.46 (15) op2(e21, e22) = e23
% 52.97/8.46 (16) op2(all_4_107, all_4_109) = all_4_108
% 52.97/8.46 (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = v1) |
% 52.97/8.46 ~ (j(v2) = v0))
% 52.97/8.47 (18) j(e23) = all_4_101
% 52.97/8.47 (19) j(all_4_106) = e13
% 52.97/8.47 (20) op2(all_4_109, all_4_107) = all_4_105
% 52.97/8.47 (21) all_4_109 = e22 | all_4_109 = e20 | all_4_109 = e21
% 52.97/8.47 (22) j(e22) = all_4_102
% 52.97/8.47 (23) op1(all_4_102, all_4_101) = all_4_104
% 52.97/8.47 (24) ~ (e23 = e22)
% 52.97/8.47 (25) ~ (all_4_108 = e23)
% 52.97/8.47 (26) op1(e10, e12) = e14
% 52.97/8.47 (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.97/8.47 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 52.97/8.47 (28) op2(e22, e21) = e24
% 52.97/8.47 (29) op2(e20, e22) = e24
% 52.97/8.47 (30) ~ (all_4_109 = e23)
% 52.97/8.47 (31) all_4_102 = e12 | all_4_102 = e10 | all_4_102 = e11
% 52.97/8.47 (32) ~ (all_4_101 = e13)
% 52.97/8.47 (33) op2(all_4_109, all_4_108) = all_4_106
% 52.97/8.47
% 52.97/8.47 Begin of proof
% 52.97/8.47 |
% 52.97/8.47 | BETA: splitting (13) gives:
% 52.97/8.47 |
% 52.97/8.47 | Case 1:
% 52.97/8.47 | |
% 52.97/8.47 | | (34) all_4_106 = e23
% 52.97/8.47 | |
% 52.97/8.47 | | REDUCE: (19), (34) imply:
% 52.97/8.47 | | (35) j(e23) = e13
% 52.97/8.47 | |
% 52.97/8.47 | | GROUND_INST: instantiating (17) with all_4_101, e13, e23, simplifying with
% 52.97/8.47 | | (18), (35) gives:
% 52.97/8.47 | | (36) all_4_101 = e13
% 52.97/8.47 | |
% 52.97/8.47 | | REDUCE: (32), (36) imply:
% 52.97/8.47 | | (37) $false
% 52.97/8.47 | |
% 52.97/8.47 | | CLOSE: (37) is inconsistent.
% 52.97/8.47 | |
% 52.97/8.47 | Case 2:
% 52.97/8.47 | |
% 52.97/8.47 | | (38) ~ (all_4_106 = e23)
% 52.97/8.47 | |
% 52.97/8.47 | | BETA: splitting (21) gives:
% 52.97/8.47 | |
% 52.97/8.47 | | Case 1:
% 52.97/8.47 | | |
% 52.97/8.47 | | | (39) all_4_109 = e22
% 52.97/8.47 | | |
% 52.97/8.47 | | | REDUCE: (30), (39) imply:
% 52.97/8.47 | | | (40) ~ (e23 = e22)
% 52.97/8.47 | | |
% 52.97/8.47 | | | REDUCE: (7), (39) imply:
% 52.97/8.47 | | | (41) j(e22) = e10
% 52.97/8.47 | | |
% 52.97/8.47 | | | REF_CLOSE: (3), (4), (6), (10), (11), (12), (17), (22), (23), (24), (25),
% 52.97/8.47 | | | (26), (27), (41) are inconsistent by sub-proof #17.
% 52.97/8.47 | | |
% 52.97/8.47 | | Case 2:
% 52.97/8.47 | | |
% 52.97/8.47 | | | (42) all_4_109 = e20 | all_4_109 = e21
% 52.97/8.47 | | |
% 52.97/8.47 | | | BETA: splitting (31) gives:
% 52.97/8.47 | | |
% 52.97/8.47 | | | Case 1:
% 52.97/8.47 | | | |
% 52.97/8.47 | | | | (43) all_4_102 = e12
% 52.97/8.47 | | | |
% 52.97/8.47 | | | | REDUCE: (4), (43) imply:
% 52.97/8.47 | | | | (44) h(e12) = e22
% 52.97/8.47 | | | |
% 52.97/8.47 | | | | GROUND_INST: instantiating (6) with all_4_107, e22, e12, simplifying
% 52.97/8.47 | | | | with (9), (44) gives:
% 52.97/8.47 | | | | (45) all_4_107 = e22
% 52.97/8.47 | | | |
% 52.97/8.47 | | | | REDUCE: (16), (45) imply:
% 52.97/8.47 | | | | (46) op2(e22, all_4_109) = all_4_108
% 52.97/8.47 | | | |
% 52.97/8.47 | | | | REDUCE: (20), (45) imply:
% 52.97/8.47 | | | | (47) op2(all_4_109, e22) = all_4_105
% 52.97/8.47 | | | |
% 52.97/8.47 | | | | BETA: splitting (42) gives:
% 52.97/8.47 | | | |
% 52.97/8.47 | | | | Case 1:
% 52.97/8.47 | | | | |
% 52.97/8.47 | | | | | (48) all_4_109 = e20
% 52.97/8.47 | | | | |
% 52.97/8.47 | | | | | REDUCE: (47), (48) imply:
% 52.97/8.47 | | | | | (49) op2(e20, e22) = all_4_105
% 52.97/8.47 | | | | |
% 52.97/8.47 | | | | | GROUND_INST: instantiating (14) with e24, all_4_105, e22, e20,
% 52.97/8.47 | | | | | simplifying with (29), (49) gives:
% 52.97/8.47 | | | | | (50) all_4_105 = e24
% 52.97/8.47 | | | | |
% 52.97/8.47 | | | | | REDUCE: (5), (50) imply:
% 52.97/8.47 | | | | | (51) $false
% 52.97/8.47 | | | | |
% 52.97/8.47 | | | | | CLOSE: (51) is inconsistent.
% 52.97/8.47 | | | | |
% 52.97/8.47 | | | | Case 2:
% 52.97/8.47 | | | | |
% 52.97/8.47 | | | | | (52) all_4_109 = e21
% 52.97/8.47 | | | | |
% 52.97/8.47 | | | | | REDUCE: (46), (52) imply:
% 52.97/8.47 | | | | | (53) op2(e22, e21) = all_4_108
% 52.97/8.47 | | | | |
% 52.97/8.47 | | | | | REF_CLOSE: (2), (14), (28), (53) are inconsistent by sub-proof #14.
% 52.97/8.47 | | | | |
% 52.97/8.47 | | | | End of split
% 52.97/8.47 | | | |
% 52.97/8.47 | | | Case 2:
% 52.97/8.47 | | | |
% 52.97/8.47 | | | | (54) all_4_102 = e10 | all_4_102 = e11
% 52.97/8.47 | | | |
% 52.97/8.47 | | | | REF_CLOSE: (1), (3), (4), (6), (8), (10), (11), (12), (14), (15), (17),
% 52.97/8.47 | | | | (22), (23), (24), (25), (26), (27), (29), (33), (38), (42),
% 52.97/8.47 | | | | (54) are inconsistent by sub-proof #3.
% 52.97/8.47 | | | |
% 52.97/8.47 | | | End of split
% 52.97/8.47 | | |
% 52.97/8.47 | | End of split
% 52.97/8.47 | |
% 52.97/8.47 | End of split
% 52.97/8.47 |
% 52.97/8.47 End of proof
% 52.97/8.47
% 52.97/8.47 Sub-proof #3 shows that the following formulas are inconsistent:
% 52.97/8.47 ----------------------------------------------------------------
% 52.97/8.47 (1) all_4_102 = e10 | all_4_102 = e11
% 52.97/8.47 (2) all_4_108 = e22 | all_4_108 = e20 | all_4_108 = e21
% 52.97/8.47 (3) all_4_101 = e12 | all_4_101 = e10 | all_4_101 = e11
% 52.97/8.47 (4) h(all_4_102) = e22
% 52.97/8.47 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) = v1) | ~
% 52.97/8.47 (h(v2) = v0))
% 52.97/8.47 (6) ~ (all_4_106 = e24)
% 52.97/8.47 (7) h(all_4_101) = e23
% 52.97/8.47 (8) ~ (all_4_106 = e23)
% 52.97/8.47 (9) h(e11) = all_4_108
% 52.97/8.47 (10) ~ (all_4_104 = e14)
% 52.97/8.47 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.97/8.47 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 52.97/8.47 (12) op2(e21, e22) = e23
% 52.97/8.47 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = v1) |
% 52.97/8.47 ~ (j(v2) = v0))
% 52.97/8.47 (14) j(e22) = all_4_102
% 52.97/8.47 (15) op1(all_4_102, all_4_101) = all_4_104
% 52.97/8.47 (16) ~ (e23 = e22)
% 52.97/8.47 (17) ~ (all_4_108 = e23)
% 52.97/8.47 (18) op1(e10, e12) = e14
% 52.97/8.47 (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.97/8.47 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 52.97/8.48 (20) op2(e20, e22) = e24
% 52.97/8.48 (21) all_4_109 = e20 | all_4_109 = e21
% 52.97/8.48 (22) op2(all_4_109, all_4_108) = all_4_106
% 52.97/8.48
% 52.97/8.48 Begin of proof
% 52.97/8.48 |
% 52.97/8.48 | BETA: splitting (2) gives:
% 52.97/8.48 |
% 52.97/8.48 | Case 1:
% 52.97/8.48 | |
% 52.97/8.48 | | (23) all_4_108 = e22
% 52.97/8.48 | |
% 52.97/8.48 | | REDUCE: (22), (23) imply:
% 52.97/8.48 | | (24) op2(all_4_109, e22) = all_4_106
% 52.97/8.48 | |
% 52.97/8.48 | | BETA: splitting (21) gives:
% 52.97/8.48 | |
% 52.97/8.48 | | Case 1:
% 52.97/8.48 | | |
% 52.97/8.48 | | | (25) all_4_109 = e20
% 52.97/8.48 | | |
% 52.97/8.48 | | | REDUCE: (24), (25) imply:
% 52.97/8.48 | | | (26) op2(e20, e22) = all_4_106
% 52.97/8.48 | | |
% 52.97/8.48 | | | GROUND_INST: instantiating (11) with e24, all_4_106, e22, e20, simplifying
% 52.97/8.48 | | | with (20), (26) gives:
% 52.97/8.48 | | | (27) all_4_106 = e24
% 52.97/8.48 | | |
% 52.97/8.48 | | | REDUCE: (6), (27) imply:
% 52.97/8.48 | | | (28) $false
% 52.97/8.48 | | |
% 52.97/8.48 | | | CLOSE: (28) is inconsistent.
% 52.97/8.48 | | |
% 52.97/8.48 | | Case 2:
% 52.97/8.48 | | |
% 52.97/8.48 | | | (29) all_4_109 = e21
% 52.97/8.48 | | |
% 52.97/8.48 | | | REDUCE: (24), (29) imply:
% 52.97/8.48 | | | (30) op2(e21, e22) = all_4_106
% 52.97/8.48 | | |
% 52.97/8.48 | | | GROUND_INST: instantiating (11) with e23, all_4_106, e22, e21, simplifying
% 52.97/8.48 | | | with (12), (30) gives:
% 52.97/8.48 | | | (31) all_4_106 = e23
% 52.97/8.48 | | |
% 52.97/8.48 | | | REDUCE: (8), (31) imply:
% 52.97/8.48 | | | (32) $false
% 52.97/8.48 | | |
% 52.97/8.48 | | | CLOSE: (32) is inconsistent.
% 52.97/8.48 | | |
% 52.97/8.48 | | End of split
% 52.97/8.48 | |
% 52.97/8.48 | Case 2:
% 52.97/8.48 | |
% 52.97/8.48 | | (33) ~ (all_4_108 = e22)
% 52.97/8.48 | |
% 52.97/8.48 | | REF_CLOSE: (1), (3), (4), (5), (7), (9), (10), (13), (14), (15), (16), (17),
% 52.97/8.48 | | (18), (19), (33) are inconsistent by sub-proof #16.
% 52.97/8.48 | |
% 52.97/8.48 | End of split
% 52.97/8.48 |
% 52.97/8.48 End of proof
% 52.97/8.48
% 52.97/8.48 Sub-proof #4 shows that the following formulas are inconsistent:
% 52.97/8.48 ----------------------------------------------------------------
% 52.97/8.48 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = v1) | ~
% 52.97/8.48 (j(v2) = v0))
% 52.97/8.48 (2) j(e22) = all_4_102
% 52.97/8.48 (3) j(e22) = e13
% 52.97/8.48 (4) ~ (all_4_102 = e13)
% 52.97/8.48
% 52.97/8.48 Begin of proof
% 52.97/8.48 |
% 52.97/8.48 | GROUND_INST: instantiating (1) with all_4_102, e13, e22, simplifying with (2),
% 52.97/8.48 | (3) gives:
% 52.97/8.48 | (5) all_4_102 = e13
% 52.97/8.48 |
% 52.97/8.48 | REDUCE: (4), (5) imply:
% 52.97/8.48 | (6) $false
% 52.97/8.48 |
% 52.97/8.48 | CLOSE: (6) is inconsistent.
% 52.97/8.48 |
% 52.97/8.48 End of proof
% 52.97/8.48
% 52.97/8.48 Sub-proof #5 shows that the following formulas are inconsistent:
% 52.97/8.48 ----------------------------------------------------------------
% 52.97/8.48 (1) op1(e14, e11) = e13
% 52.97/8.48 (2) op1(e11, e12) = e14
% 52.97/8.48 (3) ~ (e12 = e11)
% 52.97/8.48 (4) op1(e12, e13) = e14
% 52.97/8.48 (5) op1(e14, e11) = e12
% 52.97/8.48 (6) op1(e11, e12) = e13
% 52.97/8.48 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.97/8.48 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 52.97/8.48 (8) op1(e12, e13) = e11
% 52.97/8.48
% 52.97/8.48 Begin of proof
% 52.97/8.48 |
% 52.97/8.48 | GROUND_INST: instantiating (7) with e13, e14, e12, e11, simplifying with (2),
% 52.97/8.48 | (6) gives:
% 52.97/8.48 | (9) e14 = e13
% 52.97/8.48 |
% 52.97/8.48 | GROUND_INST: instantiating (7) with e14, e11, e13, e12, simplifying with (4),
% 52.97/8.48 | (8) gives:
% 52.97/8.48 | (10) e14 = e11
% 52.97/8.48 |
% 52.97/8.48 | GROUND_INST: instantiating (7) with e12, e13, e11, e14, simplifying with (1),
% 52.97/8.48 | (5) gives:
% 52.97/8.48 | (11) e13 = e12
% 52.97/8.48 |
% 52.97/8.48 | COMBINE_EQS: (9), (10) imply:
% 52.97/8.48 | (12) e13 = e11
% 52.97/8.48 |
% 52.97/8.48 | COMBINE_EQS: (11), (12) imply:
% 52.97/8.48 | (13) e12 = e11
% 52.97/8.48 |
% 52.97/8.48 | REDUCE: (3), (13) imply:
% 52.97/8.48 | (14) $false
% 52.97/8.48 |
% 52.97/8.48 | CLOSE: (14) is inconsistent.
% 52.97/8.48 |
% 52.97/8.48 End of proof
% 52.97/8.48
% 52.97/8.48 Sub-proof #6 shows that the following formulas are inconsistent:
% 52.97/8.48 ----------------------------------------------------------------
% 52.97/8.48 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.97/8.48 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 52.97/8.48 (2) op2(e22, e24) = all_4_107
% 52.97/8.48 (3) op2(e22, e24) = e23
% 52.97/8.48 (4) ~ (all_4_107 = e23)
% 52.97/8.48
% 52.97/8.48 Begin of proof
% 52.97/8.48 |
% 52.97/8.48 | GROUND_INST: instantiating (1) with e23, all_4_107, e24, e22, simplifying with
% 52.97/8.48 | (2), (3) gives:
% 52.97/8.48 | (5) all_4_107 = e23
% 52.97/8.48 |
% 52.97/8.48 | REDUCE: (4), (5) imply:
% 52.97/8.48 | (6) $false
% 52.97/8.48 |
% 52.97/8.48 | CLOSE: (6) is inconsistent.
% 52.97/8.48 |
% 52.97/8.48 End of proof
% 52.97/8.48
% 52.97/8.48 Sub-proof #7 shows that the following formulas are inconsistent:
% 52.97/8.48 ----------------------------------------------------------------
% 52.97/8.48 (1) all_4_106 = e23
% 52.97/8.48 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = v1) | ~
% 52.97/8.48 (j(v2) = v0))
% 52.97/8.48 (3) j(e23) = all_4_101
% 52.97/8.48 (4) j(all_4_106) = e13
% 52.97/8.48 (5) ~ (all_4_101 = e13)
% 52.97/8.48
% 52.97/8.48 Begin of proof
% 52.97/8.48 |
% 52.97/8.48 | REDUCE: (1), (4) imply:
% 52.97/8.48 | (6) j(e23) = e13
% 52.97/8.48 |
% 52.97/8.48 | GROUND_INST: instantiating (2) with all_4_101, e13, e23, simplifying with (3),
% 52.97/8.48 | (6) gives:
% 52.97/8.48 | (7) all_4_101 = e13
% 52.97/8.48 |
% 52.97/8.48 | REDUCE: (5), (7) imply:
% 52.97/8.48 | (8) $false
% 52.97/8.48 |
% 52.97/8.48 | CLOSE: (8) is inconsistent.
% 52.97/8.48 |
% 52.97/8.48 End of proof
% 52.97/8.48
% 52.97/8.48 Sub-proof #8 shows that the following formulas are inconsistent:
% 52.97/8.48 ----------------------------------------------------------------
% 52.97/8.48 (1) op2(e23, all_4_108) = all_4_106
% 52.97/8.48 (2) ~ (all_4_100 = e14)
% 52.97/8.48 (3) h(all_4_102) = e22
% 52.97/8.48 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) = v1) | ~
% 52.97/8.48 (h(v2) = v0))
% 52.97/8.48 (5) op1(e13, e10) = e12
% 52.97/8.48 (6) h(all_4_101) = e23
% 52.97/8.49 (7) h(e11) = all_4_108
% 52.97/8.49 (8) op2(e23, e22) = e21
% 52.97/8.49 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.97/8.49 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 52.97/8.49 (10) all_4_102 = e13 | all_4_102 = e12 | all_4_102 = e10 | all_4_102 = e11
% 52.97/8.49 (11) op1(all_4_101, all_4_102) = all_4_103
% 52.97/8.49 (12) op2(all_4_108, all_4_106) = all_4_107
% 52.97/8.49 (13) ~ (all_4_103 = e14)
% 52.97/8.49 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = v1) |
% 52.97/8.49 ~ (j(v2) = v0))
% 52.97/8.49 (15) j(e23) = e10
% 52.97/8.49 (16) ~ (e10 = e11)
% 52.97/8.49 (17) j(e23) = all_4_101
% 52.97/8.49 (18) op1(all_4_102, all_4_101) = all_4_104
% 52.97/8.49 (19) ~ (e23 = e22)
% 52.97/8.49 (20) op1(e10, e12) = e14
% 52.97/8.49 (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.97/8.49 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 52.97/8.49 (22) op2(e22, e21) = e24
% 52.97/8.49 (23) ~ (all_4_107 = e24)
% 52.97/8.49 (24) all_4_108 = e23 | all_4_108 = e22 | all_4_108 = e20 | all_4_108 = e21
% 52.97/8.49 (25) j(all_4_108) = e11
% 52.97/8.49 (26) op1(all_4_101, all_4_104) = all_4_100
% 52.97/8.49
% 52.97/8.49 Begin of proof
% 52.97/8.49 |
% 52.97/8.49 | GROUND_INST: instantiating (14) with all_4_101, e10, e23, simplifying with
% 52.97/8.49 | (15), (17) gives:
% 52.97/8.49 | (27) all_4_101 = e10
% 52.97/8.49 |
% 52.97/8.49 | REDUCE: (6), (27) imply:
% 52.97/8.49 | (28) h(e10) = e23
% 52.97/8.49 |
% 52.97/8.49 | REDUCE: (11), (27) imply:
% 52.97/8.49 | (29) op1(e10, all_4_102) = all_4_103
% 52.97/8.49 |
% 52.97/8.49 | REDUCE: (26), (27) imply:
% 52.97/8.49 | (30) op1(e10, all_4_104) = all_4_100
% 52.97/8.49 |
% 52.97/8.49 | REDUCE: (18), (27) imply:
% 52.97/8.49 | (31) op1(all_4_102, e10) = all_4_104
% 52.97/8.49 |
% 52.97/8.49 | BETA: splitting (10) gives:
% 52.97/8.49 |
% 52.97/8.49 | Case 1:
% 52.97/8.49 | |
% 52.97/8.49 | | (32) all_4_102 = e13
% 52.97/8.49 | |
% 52.97/8.49 | | REDUCE: (31), (32) imply:
% 52.97/8.49 | | (33) op1(e13, e10) = all_4_104
% 52.97/8.49 | |
% 52.97/8.49 | | GROUND_INST: instantiating (21) with e12, all_4_104, e10, e13, simplifying
% 52.97/8.49 | | with (5), (33) gives:
% 52.97/8.49 | | (34) all_4_104 = e12
% 52.97/8.49 | |
% 52.97/8.49 | | REDUCE: (30), (34) imply:
% 52.97/8.49 | | (35) op1(e10, e12) = all_4_100
% 52.97/8.49 | |
% 52.97/8.49 | | GROUND_INST: instantiating (21) with e14, all_4_100, e12, e10, simplifying
% 52.97/8.49 | | with (20), (35) gives:
% 52.97/8.49 | | (36) all_4_100 = e14
% 52.97/8.49 | |
% 52.97/8.49 | | REDUCE: (2), (36) imply:
% 52.97/8.49 | | (37) $false
% 52.97/8.49 | |
% 52.97/8.49 | | CLOSE: (37) is inconsistent.
% 52.97/8.49 | |
% 52.97/8.49 | Case 2:
% 52.97/8.49 | |
% 52.97/8.49 | | (38) all_4_102 = e12 | all_4_102 = e10 | all_4_102 = e11
% 52.97/8.49 | |
% 52.97/8.49 | | BETA: splitting (24) gives:
% 52.97/8.49 | |
% 52.97/8.49 | | Case 1:
% 52.97/8.49 | | |
% 52.97/8.49 | | | (39) all_4_108 = e23
% 52.97/8.49 | | |
% 52.97/8.49 | | | REDUCE: (25), (39) imply:
% 52.97/8.49 | | | (40) j(e23) = e11
% 52.97/8.49 | | |
% 52.97/8.49 | | | GROUND_INST: instantiating (14) with e10, e11, e23, simplifying with (15),
% 52.97/8.49 | | | (40) gives:
% 52.97/8.49 | | | (41) e10 = e11
% 52.97/8.49 | | |
% 52.97/8.49 | | | REDUCE: (16), (41) imply:
% 52.97/8.49 | | | (42) $false
% 52.97/8.49 | | |
% 52.97/8.49 | | | CLOSE: (42) is inconsistent.
% 52.97/8.49 | | |
% 52.97/8.49 | | Case 2:
% 52.97/8.49 | | |
% 52.97/8.49 | | | (43) all_4_108 = e22 | all_4_108 = e20 | all_4_108 = e21
% 52.97/8.49 | | |
% 52.97/8.49 | | | BETA: splitting (38) gives:
% 52.97/8.49 | | |
% 52.97/8.49 | | | Case 1:
% 52.97/8.49 | | | |
% 52.97/8.49 | | | | (44) all_4_102 = e12
% 52.97/8.49 | | | |
% 52.97/8.49 | | | | REDUCE: (29), (44) imply:
% 52.97/8.49 | | | | (45) op1(e10, e12) = all_4_103
% 52.97/8.49 | | | |
% 52.97/8.49 | | | | GROUND_INST: instantiating (21) with e14, all_4_103, e12, e10,
% 52.97/8.49 | | | | simplifying with (20), (45) gives:
% 52.97/8.49 | | | | (46) all_4_103 = e14
% 52.97/8.49 | | | |
% 52.97/8.49 | | | | REDUCE: (13), (46) imply:
% 52.97/8.49 | | | | (47) $false
% 52.97/8.49 | | | |
% 52.97/8.49 | | | | CLOSE: (47) is inconsistent.
% 52.97/8.49 | | | |
% 52.97/8.49 | | | Case 2:
% 52.97/8.49 | | | |
% 52.97/8.49 | | | | (48) all_4_102 = e10 | all_4_102 = e11
% 52.97/8.49 | | | |
% 52.97/8.49 | | | | BETA: splitting (43) gives:
% 52.97/8.49 | | | |
% 52.97/8.49 | | | | Case 1:
% 52.97/8.49 | | | | |
% 52.97/8.49 | | | | | (49) all_4_108 = e22
% 52.97/8.49 | | | | |
% 52.97/8.49 | | | | | REDUCE: (12), (49) imply:
% 52.97/8.49 | | | | | (50) op2(e22, all_4_106) = all_4_107
% 52.97/8.49 | | | | |
% 52.97/8.49 | | | | | REDUCE: (1), (49) imply:
% 52.97/8.49 | | | | | (51) op2(e23, e22) = all_4_106
% 52.97/8.49 | | | | |
% 52.97/8.49 | | | | | GROUND_INST: instantiating (9) with e21, all_4_106, e22, e23,
% 52.97/8.49 | | | | | simplifying with (8), (51) gives:
% 52.97/8.49 | | | | | (52) all_4_106 = e21
% 52.97/8.49 | | | | |
% 52.97/8.49 | | | | | REDUCE: (50), (52) imply:
% 52.97/8.49 | | | | | (53) op2(e22, e21) = all_4_107
% 52.97/8.49 | | | | |
% 52.97/8.49 | | | | | REF_CLOSE: (9), (22), (23), (53) are inconsistent by sub-proof #9.
% 52.97/8.49 | | | | |
% 52.97/8.49 | | | | Case 2:
% 52.97/8.49 | | | | |
% 52.97/8.49 | | | | | (54) ~ (all_4_108 = e22)
% 52.97/8.49 | | | | |
% 52.97/8.49 | | | | | BETA: splitting (48) gives:
% 52.97/8.49 | | | | |
% 52.97/8.49 | | | | | Case 1:
% 52.97/8.49 | | | | | |
% 52.97/8.49 | | | | | | (55) all_4_102 = e10
% 52.97/8.49 | | | | | |
% 52.97/8.49 | | | | | | REDUCE: (3), (55) imply:
% 52.97/8.49 | | | | | | (56) h(e10) = e22
% 52.97/8.49 | | | | | |
% 52.97/8.49 | | | | | | GROUND_INST: instantiating (4) with e23, e22, e10, simplifying with
% 52.97/8.49 | | | | | | (28), (56) gives:
% 52.97/8.49 | | | | | | (57) e23 = e22
% 52.97/8.49 | | | | | |
% 52.97/8.49 | | | | | | REDUCE: (19), (57) imply:
% 52.97/8.49 | | | | | | (58) $false
% 52.97/8.49 | | | | | |
% 52.97/8.49 | | | | | | CLOSE: (58) is inconsistent.
% 52.97/8.49 | | | | | |
% 52.97/8.49 | | | | | Case 2:
% 52.97/8.49 | | | | | |
% 52.97/8.49 | | | | | | (59) all_4_102 = e11
% 52.97/8.49 | | | | | |
% 52.97/8.49 | | | | | | REDUCE: (3), (59) imply:
% 52.97/8.49 | | | | | | (60) h(e11) = e22
% 52.97/8.49 | | | | | |
% 52.97/8.49 | | | | | | GROUND_INST: instantiating (4) with all_4_108, e22, e11, simplifying
% 52.97/8.49 | | | | | | with (7), (60) gives:
% 52.97/8.49 | | | | | | (61) all_4_108 = e22
% 52.97/8.49 | | | | | |
% 52.97/8.49 | | | | | | REDUCE: (54), (61) imply:
% 52.97/8.49 | | | | | | (62) $false
% 52.97/8.49 | | | | | |
% 52.97/8.49 | | | | | | CLOSE: (62) is inconsistent.
% 52.97/8.49 | | | | | |
% 52.97/8.49 | | | | | End of split
% 52.97/8.49 | | | | |
% 52.97/8.49 | | | | End of split
% 52.97/8.49 | | | |
% 52.97/8.49 | | | End of split
% 52.97/8.49 | | |
% 52.97/8.49 | | End of split
% 52.97/8.49 | |
% 52.97/8.49 | End of split
% 52.97/8.49 |
% 52.97/8.49 End of proof
% 52.97/8.49
% 52.97/8.49 Sub-proof #9 shows that the following formulas are inconsistent:
% 52.97/8.49 ----------------------------------------------------------------
% 52.97/8.50 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.97/8.50 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 52.97/8.50 (2) op2(e22, e21) = all_4_107
% 52.97/8.50 (3) op2(e22, e21) = e24
% 52.97/8.50 (4) ~ (all_4_107 = e24)
% 52.97/8.50
% 52.97/8.50 Begin of proof
% 52.97/8.50 |
% 52.97/8.50 | GROUND_INST: instantiating (1) with e24, all_4_107, e21, e22, simplifying with
% 52.97/8.50 | (2), (3) gives:
% 52.97/8.50 | (5) all_4_107 = e24
% 52.97/8.50 |
% 52.97/8.50 | REDUCE: (4), (5) imply:
% 52.97/8.50 | (6) $false
% 52.97/8.50 |
% 52.97/8.50 | CLOSE: (6) is inconsistent.
% 52.97/8.50 |
% 52.97/8.50 End of proof
% 52.97/8.50
% 52.97/8.50 Sub-proof #10 shows that the following formulas are inconsistent:
% 52.97/8.50 ----------------------------------------------------------------
% 52.97/8.50 (1) all_4_101 = e12 | all_4_101 = e10 | all_4_101 = e11
% 52.97/8.50 (2) h(all_4_102) = e22
% 52.97/8.50 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) = v1) | ~
% 52.97/8.50 (h(v2) = v0))
% 52.97/8.50 (4) j(all_4_109) = e10
% 52.97/8.50 (5) h(all_4_101) = e23
% 52.97/8.50 (6) h(e11) = all_4_108
% 52.97/8.50 (7) ~ (all_4_104 = e14)
% 52.97/8.50 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = v1) | ~
% 52.97/8.50 (j(v2) = v0))
% 52.97/8.50 (9) j(e22) = all_4_102
% 52.97/8.50 (10) op1(all_4_102, all_4_101) = all_4_104
% 52.97/8.50 (11) ~ (all_4_108 = e23)
% 52.97/8.50 (12) op1(e10, e12) = e14
% 52.97/8.50 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.97/8.50 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 52.97/8.50 (14) ~ (all_4_109 = e23)
% 52.97/8.50 (15) all_4_109 = e22
% 52.97/8.50
% 52.97/8.50 Begin of proof
% 52.97/8.50 |
% 52.97/8.50 | REDUCE: (14), (15) imply:
% 52.97/8.50 | (16) ~ (e23 = e22)
% 52.97/8.50 |
% 52.97/8.50 | SIMP: (16) implies:
% 52.97/8.50 | (17) ~ (e23 = e22)
% 52.97/8.50 |
% 52.97/8.50 | REDUCE: (4), (15) imply:
% 52.97/8.50 | (18) j(e22) = e10
% 52.97/8.50 |
% 52.97/8.50 | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 52.97/8.50 | (17), (18) are inconsistent by sub-proof #17.
% 52.97/8.50 |
% 52.97/8.50 End of proof
% 52.97/8.50
% 52.97/8.50 Sub-proof #11 shows that the following formulas are inconsistent:
% 52.97/8.50 ----------------------------------------------------------------
% 52.97/8.50 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.97/8.50 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 52.97/8.50 (2) op2(e22, e21) = all_4_109
% 52.97/8.50 (3) op2(e22, e21) = e24
% 52.97/8.50 (4) ~ (all_4_109 = e24)
% 52.97/8.50
% 52.97/8.50 Begin of proof
% 52.97/8.50 |
% 52.97/8.50 | GROUND_INST: instantiating (1) with e24, all_4_109, e21, e22, simplifying with
% 52.97/8.50 | (2), (3) gives:
% 52.97/8.50 | (5) all_4_109 = e24
% 52.97/8.50 |
% 52.97/8.50 | REDUCE: (4), (5) imply:
% 52.97/8.50 | (6) $false
% 52.97/8.50 |
% 52.97/8.50 | CLOSE: (6) is inconsistent.
% 52.97/8.50 |
% 52.97/8.50 End of proof
% 52.97/8.50
% 52.97/8.50 Sub-proof #12 shows that the following formulas are inconsistent:
% 52.97/8.50 ----------------------------------------------------------------
% 52.97/8.50 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.97/8.50 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 52.97/8.50 (2) op2(e23, e20) = all_4_106
% 52.97/8.50 (3) op2(e23, e20) = e24
% 52.97/8.50 (4) ~ (all_4_106 = e24)
% 52.97/8.50
% 52.97/8.50 Begin of proof
% 52.97/8.50 |
% 52.97/8.50 | GROUND_INST: instantiating (1) with e24, all_4_106, e20, e23, simplifying with
% 52.97/8.50 | (2), (3) gives:
% 52.97/8.50 | (5) all_4_106 = e24
% 52.97/8.50 |
% 52.97/8.50 | REDUCE: (4), (5) imply:
% 52.97/8.50 | (6) $false
% 52.97/8.50 |
% 52.97/8.50 | CLOSE: (6) is inconsistent.
% 52.97/8.50 |
% 52.97/8.50 End of proof
% 52.97/8.50
% 52.97/8.50 Sub-proof #13 shows that the following formulas are inconsistent:
% 52.97/8.50 ----------------------------------------------------------------
% 52.97/8.50 (1) op1(e11, e14) = e13
% 52.97/8.50 (2) op1(e14, e10) = e13
% 52.97/8.50 (3) op1(e11, e14) = e10
% 52.97/8.50 (4) op1(e14, e10) = e11
% 52.97/8.50 (5) ~ (e10 = e11)
% 52.97/8.50 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.97/8.50 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 52.97/8.50
% 52.97/8.50 Begin of proof
% 52.97/8.50 |
% 52.97/8.50 | GROUND_INST: instantiating (6) with e10, e13, e14, e11, simplifying with (1),
% 52.97/8.50 | (3) gives:
% 52.97/8.50 | (7) e13 = e10
% 52.97/8.50 |
% 52.97/8.50 | GROUND_INST: instantiating (6) with e13, e11, e10, e14, simplifying with (2),
% 52.97/8.50 | (4) gives:
% 52.97/8.50 | (8) e13 = e11
% 52.97/8.50 |
% 52.97/8.50 | COMBINE_EQS: (7), (8) imply:
% 52.97/8.50 | (9) e10 = e11
% 52.97/8.50 |
% 52.97/8.50 | SIMP: (9) implies:
% 52.97/8.50 | (10) e10 = e11
% 52.97/8.50 |
% 52.97/8.50 | REDUCE: (5), (10) imply:
% 52.97/8.50 | (11) $false
% 52.97/8.50 |
% 52.97/8.50 | CLOSE: (11) is inconsistent.
% 52.97/8.50 |
% 52.97/8.50 End of proof
% 52.97/8.50
% 52.97/8.50 Sub-proof #14 shows that the following formulas are inconsistent:
% 52.97/8.50 ----------------------------------------------------------------
% 52.97/8.50 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.97/8.50 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 52.97/8.50 (2) op2(e22, e21) = all_4_108
% 52.97/8.50 (3) op2(e22, e21) = e24
% 52.97/8.50 (4) ~ (all_4_108 = e24)
% 52.97/8.50
% 52.97/8.50 Begin of proof
% 52.97/8.50 |
% 52.97/8.50 | GROUND_INST: instantiating (1) with e24, all_4_108, e21, e22, simplifying with
% 52.97/8.51 | (2), (3) gives:
% 52.97/8.51 | (5) all_4_108 = e24
% 52.97/8.51 |
% 52.97/8.51 | REDUCE: (4), (5) imply:
% 52.97/8.51 | (6) $false
% 52.97/8.51 |
% 52.97/8.51 | CLOSE: (6) is inconsistent.
% 52.97/8.51 |
% 52.97/8.51 End of proof
% 52.97/8.51
% 52.97/8.51 Sub-proof #15 shows that the following formulas are inconsistent:
% 52.97/8.51 ----------------------------------------------------------------
% 52.97/8.51 (1) op2(e22, e23) = e20
% 52.97/8.51 (2) op2(e22, e23) = e24
% 52.97/8.51 (3) op2(e24, e20) = e22
% 52.97/8.51 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.97/8.51 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 52.97/8.51 (5) op2(e20, e22) = e23
% 52.97/8.51 (6) op2(e24, e20) = e23
% 52.97/8.51 (7) ~ (e22 = e20)
% 52.97/8.51 (8) op2(e20, e22) = e24
% 52.97/8.51
% 52.97/8.51 Begin of proof
% 52.97/8.51 |
% 52.97/8.51 | GROUND_INST: instantiating (4) with e24, e23, e22, e20, simplifying with (5),
% 52.97/8.51 | (8) gives:
% 52.97/8.51 | (9) e24 = e23
% 52.97/8.51 |
% 52.97/8.51 | GROUND_INST: instantiating (4) with e20, e24, e23, e22, simplifying with (1),
% 52.97/8.51 | (2) gives:
% 52.97/8.51 | (10) e24 = e20
% 52.97/8.51 |
% 52.97/8.51 | GROUND_INST: instantiating (4) with e23, e22, e20, e24, simplifying with (3),
% 52.97/8.51 | (6) gives:
% 52.97/8.51 | (11) e23 = e22
% 52.97/8.51 |
% 52.97/8.51 | COMBINE_EQS: (9), (10) imply:
% 52.97/8.51 | (12) e23 = e20
% 52.97/8.51 |
% 52.97/8.51 | COMBINE_EQS: (11), (12) imply:
% 52.97/8.51 | (13) e22 = e20
% 52.97/8.51 |
% 52.97/8.51 | REDUCE: (7), (13) imply:
% 52.97/8.51 | (14) $false
% 52.97/8.51 |
% 52.97/8.51 | CLOSE: (14) is inconsistent.
% 52.97/8.51 |
% 52.97/8.51 End of proof
% 52.97/8.51
% 52.97/8.51 Sub-proof #16 shows that the following formulas are inconsistent:
% 52.97/8.51 ----------------------------------------------------------------
% 52.97/8.51 (1) all_4_102 = e10 | all_4_102 = e11
% 52.97/8.51 (2) all_4_101 = e12 | all_4_101 = e10 | all_4_101 = e11
% 52.97/8.51 (3) h(all_4_102) = e22
% 52.97/8.51 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) = v1) | ~
% 52.97/8.51 (h(v2) = v0))
% 52.97/8.51 (5) h(all_4_101) = e23
% 52.97/8.51 (6) h(e11) = all_4_108
% 52.97/8.51 (7) ~ (all_4_104 = e14)
% 52.97/8.51 (8) ~ (all_4_108 = e22)
% 52.97/8.51 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = v1) | ~
% 52.97/8.51 (j(v2) = v0))
% 52.97/8.51 (10) j(e22) = all_4_102
% 52.97/8.51 (11) op1(all_4_102, all_4_101) = all_4_104
% 52.97/8.51 (12) ~ (e23 = e22)
% 52.97/8.51 (13) ~ (all_4_108 = e23)
% 52.97/8.51 (14) op1(e10, e12) = e14
% 53.34/8.51 (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 53.34/8.51 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 53.34/8.51
% 53.34/8.51 Begin of proof
% 53.34/8.51 |
% 53.34/8.51 | BETA: splitting (1) gives:
% 53.34/8.51 |
% 53.34/8.51 | Case 1:
% 53.34/8.51 | |
% 53.34/8.51 | | (16) all_4_102 = e10
% 53.34/8.51 | |
% 53.34/8.51 | | REDUCE: (10), (16) imply:
% 53.34/8.51 | | (17) j(e22) = e10
% 53.34/8.51 | |
% 53.34/8.51 | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13), (14),
% 53.34/8.51 | | (15), (17) are inconsistent by sub-proof #17.
% 53.34/8.51 | |
% 53.34/8.51 | Case 2:
% 53.34/8.51 | |
% 53.34/8.51 | | (18) all_4_102 = e11
% 53.34/8.51 | |
% 53.34/8.51 | | REDUCE: (3), (18) imply:
% 53.34/8.51 | | (19) h(e11) = e22
% 53.34/8.51 | |
% 53.34/8.51 | | GROUND_INST: instantiating (4) with all_4_108, e22, e11, simplifying with
% 53.34/8.51 | | (6), (19) gives:
% 53.34/8.51 | | (20) all_4_108 = e22
% 53.34/8.51 | |
% 53.34/8.51 | | REDUCE: (8), (20) imply:
% 53.34/8.51 | | (21) $false
% 53.34/8.51 | |
% 53.34/8.51 | | CLOSE: (21) is inconsistent.
% 53.34/8.51 | |
% 53.34/8.51 | End of split
% 53.34/8.51 |
% 53.34/8.51 End of proof
% 53.34/8.51
% 53.34/8.51 Sub-proof #17 shows that the following formulas are inconsistent:
% 53.34/8.51 ----------------------------------------------------------------
% 53.34/8.51 (1) all_4_101 = e12 | all_4_101 = e10 | all_4_101 = e11
% 53.34/8.51 (2) h(all_4_102) = e22
% 53.34/8.51 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) = v1) | ~
% 53.34/8.51 (h(v2) = v0))
% 53.34/8.51 (4) h(all_4_101) = e23
% 53.34/8.51 (5) h(e11) = all_4_108
% 53.34/8.51 (6) ~ (all_4_104 = e14)
% 53.34/8.51 (7) j(e22) = e10
% 53.34/8.51 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = v1) | ~
% 53.34/8.51 (j(v2) = v0))
% 53.34/8.51 (9) j(e22) = all_4_102
% 53.34/8.51 (10) op1(all_4_102, all_4_101) = all_4_104
% 53.34/8.51 (11) ~ (e23 = e22)
% 53.34/8.51 (12) ~ (all_4_108 = e23)
% 53.34/8.51 (13) op1(e10, e12) = e14
% 53.34/8.51 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 53.34/8.51 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 53.34/8.51
% 53.34/8.51 Begin of proof
% 53.34/8.51 |
% 53.34/8.51 | GROUND_INST: instantiating (8) with all_4_102, e10, e22, simplifying with (7),
% 53.34/8.51 | (9) gives:
% 53.34/8.51 | (15) all_4_102 = e10
% 53.34/8.51 |
% 53.34/8.51 | REDUCE: (2), (15) imply:
% 53.34/8.51 | (16) h(e10) = e22
% 53.34/8.51 |
% 53.34/8.51 | REDUCE: (10), (15) imply:
% 53.34/8.51 | (17) op1(e10, all_4_101) = all_4_104
% 53.34/8.51 |
% 53.34/8.51 | BETA: splitting (1) gives:
% 53.34/8.51 |
% 53.34/8.51 | Case 1:
% 53.34/8.51 | |
% 53.34/8.51 | | (18) all_4_101 = e12
% 53.34/8.51 | |
% 53.34/8.51 | | REDUCE: (17), (18) imply:
% 53.34/8.52 | | (19) op1(e10, e12) = all_4_104
% 53.34/8.52 | |
% 53.34/8.52 | | REF_CLOSE: (6), (13), (14), (19) are inconsistent by sub-proof #18.
% 53.34/8.52 | |
% 53.34/8.52 | Case 2:
% 53.34/8.52 | |
% 53.34/8.52 | | (20) all_4_101 = e10 | all_4_101 = e11
% 53.34/8.52 | |
% 53.34/8.52 | | BETA: splitting (20) gives:
% 53.34/8.52 | |
% 53.34/8.52 | | Case 1:
% 53.34/8.52 | | |
% 53.34/8.52 | | | (21) all_4_101 = e10
% 53.34/8.52 | | |
% 53.34/8.52 | | | REDUCE: (4), (21) imply:
% 53.34/8.52 | | | (22) h(e10) = e23
% 53.34/8.52 | | |
% 53.34/8.52 | | | GROUND_INST: instantiating (3) with e23, e22, e10, simplifying with (16),
% 53.34/8.52 | | | (22) gives:
% 53.34/8.52 | | | (23) e23 = e22
% 53.34/8.52 | | |
% 53.34/8.52 | | | REDUCE: (11), (23) imply:
% 53.34/8.52 | | | (24) $false
% 53.34/8.52 | | |
% 53.34/8.52 | | | CLOSE: (24) is inconsistent.
% 53.34/8.52 | | |
% 53.34/8.52 | | Case 2:
% 53.34/8.52 | | |
% 53.34/8.52 | | | (25) all_4_101 = e11
% 53.34/8.52 | | |
% 53.34/8.52 | | | REDUCE: (4), (25) imply:
% 53.34/8.52 | | | (26) h(e11) = e23
% 53.34/8.52 | | |
% 53.34/8.52 | | | GROUND_INST: instantiating (3) with all_4_108, e23, e11, simplifying with
% 53.34/8.52 | | | (5), (26) gives:
% 53.34/8.52 | | | (27) all_4_108 = e23
% 53.34/8.52 | | |
% 53.34/8.52 | | | REDUCE: (12), (27) imply:
% 53.34/8.52 | | | (28) $false
% 53.34/8.52 | | |
% 53.34/8.52 | | | CLOSE: (28) is inconsistent.
% 53.34/8.52 | | |
% 53.34/8.52 | | End of split
% 53.34/8.52 | |
% 53.34/8.52 | End of split
% 53.34/8.52 |
% 53.34/8.52 End of proof
% 53.34/8.52
% 53.34/8.52 Sub-proof #18 shows that the following formulas are inconsistent:
% 53.34/8.52 ----------------------------------------------------------------
% 53.34/8.52 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 53.34/8.52 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 53.34/8.52 (2) op1(e10, e12) = all_4_104
% 53.34/8.52 (3) op1(e10, e12) = e14
% 53.34/8.52 (4) ~ (all_4_104 = e14)
% 53.34/8.52
% 53.34/8.52 Begin of proof
% 53.34/8.52 |
% 53.34/8.52 | GROUND_INST: instantiating (1) with e14, all_4_104, e12, e10, simplifying with
% 53.34/8.52 | (2), (3) gives:
% 53.34/8.52 | (5) all_4_104 = e14
% 53.34/8.52 |
% 53.34/8.52 | REDUCE: (4), (5) imply:
% 53.34/8.52 | (6) $false
% 53.34/8.52 |
% 53.34/8.52 | CLOSE: (6) is inconsistent.
% 53.34/8.52 |
% 53.34/8.52 End of proof
% 53.34/8.52
% 53.34/8.52 Sub-proof #19 shows that the following formulas are inconsistent:
% 53.34/8.52 ----------------------------------------------------------------
% 53.34/8.52 (1) ~ (all_4_102 = e14)
% 53.34/8.52 (2) op2(e23, e24) = all_4_105
% 53.34/8.52 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 53.34/8.52 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 53.34/8.52 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = v1) | ~
% 53.34/8.52 (j(v2) = v0))
% 53.34/8.52 (5) op2(e23, e24) = e22
% 53.34/8.52 (6) j(e22) = all_4_102
% 53.34/8.52 (7) j(all_4_105) = e14
% 53.34/8.52
% 53.34/8.52 Begin of proof
% 53.34/8.52 |
% 53.34/8.52 | GROUND_INST: instantiating (3) with e22, all_4_105, e24, e23, simplifying with
% 53.34/8.52 | (2), (5) gives:
% 53.34/8.52 | (8) all_4_105 = e22
% 53.34/8.52 |
% 53.34/8.52 | REDUCE: (7), (8) imply:
% 53.34/8.52 | (9) j(e22) = e14
% 53.34/8.52 |
% 53.34/8.52 | GROUND_INST: instantiating (4) with all_4_102, e14, e22, simplifying with (6),
% 53.34/8.52 | (9) gives:
% 53.34/8.52 | (10) all_4_102 = e14
% 53.34/8.52 |
% 53.34/8.52 | REDUCE: (1), (10) imply:
% 53.34/8.52 | (11) $false
% 53.34/8.52 |
% 53.34/8.52 | CLOSE: (11) is inconsistent.
% 53.34/8.52 |
% 53.34/8.52 End of proof
% 53.34/8.52
% 53.34/8.52 Sub-proof #20 shows that the following formulas are inconsistent:
% 53.34/8.52 ----------------------------------------------------------------
% 53.34/8.52 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = v1) | ~
% 53.34/8.52 (j(v2) = v0))
% 53.34/8.52 (2) j(e23) = all_4_101
% 53.34/8.52 (3) all_4_105 = e23
% 53.34/8.52 (4) ~ (all_4_101 = e14)
% 53.34/8.52 (5) j(all_4_105) = e14
% 53.34/8.52
% 53.34/8.52 Begin of proof
% 53.34/8.52 |
% 53.34/8.52 | REDUCE: (3), (5) imply:
% 53.34/8.52 | (6) j(e23) = e14
% 53.34/8.52 |
% 53.34/8.52 | GROUND_INST: instantiating (1) with all_4_101, e14, e23, simplifying with (2),
% 53.34/8.52 | (6) gives:
% 53.34/8.52 | (7) all_4_101 = e14
% 53.34/8.52 |
% 53.34/8.52 | REDUCE: (4), (7) imply:
% 53.34/8.52 | (8) $false
% 53.34/8.52 |
% 53.34/8.52 | CLOSE: (8) is inconsistent.
% 53.34/8.52 |
% 53.34/8.52 End of proof
% 53.34/8.52
% 53.34/8.52 Sub-proof #21 shows that the following formulas are inconsistent:
% 53.34/8.52 ----------------------------------------------------------------
% 53.34/8.52 (1) op2(e22, e24) = e21
% 53.34/8.52 (2) ~ (e22 = e21)
% 53.34/8.52 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 53.34/8.52 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 53.34/8.52 (4) op2(e24, e21) = e23
% 53.34/8.52 (5) op2(e24, e21) = e22
% 53.34/8.52 (6) op2(e22, e24) = e23
% 53.34/8.52
% 53.34/8.52 Begin of proof
% 53.34/8.52 |
% 53.34/8.52 | GROUND_INST: instantiating (3) with e23, e21, e24, e22, simplifying with (1),
% 53.34/8.52 | (6) gives:
% 53.34/8.52 | (7) e23 = e21
% 53.34/8.52 |
% 53.34/8.52 | GROUND_INST: instantiating (3) with e22, e23, e21, e24, simplifying with (4),
% 53.34/8.52 | (5) gives:
% 53.34/8.52 | (8) e23 = e22
% 53.34/8.52 |
% 53.34/8.52 | COMBINE_EQS: (7), (8) imply:
% 53.34/8.52 | (9) e22 = e21
% 53.34/8.52 |
% 53.34/8.52 | SIMP: (9) implies:
% 53.34/8.52 | (10) e22 = e21
% 53.34/8.52 |
% 53.34/8.52 | REDUCE: (2), (10) imply:
% 53.34/8.52 | (11) $false
% 53.34/8.52 |
% 53.34/8.52 | CLOSE: (11) is inconsistent.
% 53.34/8.52 |
% 53.34/8.52 End of proof
% 53.34/8.52
% 53.34/8.52 Sub-proof #22 shows that the following formulas are inconsistent:
% 53.34/8.52 ----------------------------------------------------------------
% 53.34/8.52 (1) op1(e13, e10) = e12
% 53.34/8.52 (2) op1(e10, e12) = e13
% 53.34/8.52 (3) op1(e12, e14) = e10
% 53.34/8.52 (4) op1(e13, e10) = e14
% 53.34/8.52 (5) ~ (e12 = e10)
% 53.34/8.52 (6) op1(e12, e14) = e13
% 53.34/8.52 (7) op1(e10, e12) = e14
% 53.34/8.53 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 53.34/8.53 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 53.34/8.53
% 53.34/8.53 Begin of proof
% 53.34/8.53 |
% 53.34/8.53 | GROUND_INST: instantiating (8) with e14, e13, e12, e10, simplifying with (2),
% 53.34/8.53 | (7) gives:
% 53.34/8.53 | (9) e14 = e13
% 53.34/8.53 |
% 53.34/8.53 | GROUND_INST: instantiating (8) with e13, e10, e14, e12, simplifying with (3),
% 53.34/8.53 | (6) gives:
% 53.34/8.53 | (10) e13 = e10
% 53.34/8.53 |
% 53.34/8.53 | GROUND_INST: instantiating (8) with e12, e14, e10, e13, simplifying with (1),
% 53.34/8.53 | (4) gives:
% 53.34/8.53 | (11) e14 = e12
% 53.34/8.53 |
% 53.34/8.53 | COMBINE_EQS: (9), (11) imply:
% 53.34/8.53 | (12) e13 = e12
% 53.34/8.53 |
% 53.34/8.53 | SIMP: (12) implies:
% 53.34/8.53 | (13) e13 = e12
% 53.34/8.53 |
% 53.34/8.53 | COMBINE_EQS: (10), (13) imply:
% 53.34/8.53 | (14) e12 = e10
% 53.34/8.53 |
% 53.34/8.53 | SIMP: (14) implies:
% 53.34/8.53 | (15) e12 = e10
% 53.34/8.53 |
% 53.34/8.53 | REDUCE: (5), (15) imply:
% 53.34/8.53 | (16) $false
% 53.34/8.53 |
% 53.34/8.53 | CLOSE: (16) is inconsistent.
% 53.34/8.53 |
% 53.34/8.53 End of proof
% 53.34/8.53 % SZS output end Proof for theBenchmark
% 53.34/8.53
% 53.34/8.53 7907ms
%------------------------------------------------------------------------------