TSTP Solution File: ALG078+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG078+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 : n007.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 16:36:13 EDT 2023
% Result : Theorem 10.92s 2.28s
% Output : Proof 19.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG078+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 02:26:58 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.63 ________ _____
% 0.22/0.63 ___ __ \_________(_)________________________________
% 0.22/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.22/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.22/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.22/0.63
% 0.22/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.22/0.63 (2023-06-19)
% 0.22/0.63
% 0.22/0.63 (c) Philipp Rümmer, 2009-2023
% 0.22/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.22/0.63 Amanda Stjerna.
% 0.22/0.63 Free software under BSD-3-Clause.
% 0.22/0.63
% 0.22/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.22/0.63
% 0.22/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.22/0.64 Running up to 7 provers in parallel.
% 0.22/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.22/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.22/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.22/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.22/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.22/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.22/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.13/1.21 Prover 4: Preprocessing ...
% 3.13/1.21 Prover 1: Preprocessing ...
% 3.71/1.25 Prover 3: Preprocessing ...
% 3.71/1.25 Prover 2: Preprocessing ...
% 3.71/1.25 Prover 6: Preprocessing ...
% 3.71/1.25 Prover 0: Preprocessing ...
% 3.71/1.26 Prover 5: Preprocessing ...
% 6.76/1.67 Prover 4: Constructing countermodel ...
% 6.76/1.68 Prover 2: Constructing countermodel ...
% 6.96/1.69 Prover 1: Constructing countermodel ...
% 6.96/1.69 Prover 3: Constructing countermodel ...
% 6.96/1.70 Prover 0: Constructing countermodel ...
% 6.96/1.71 Prover 6: Constructing countermodel ...
% 8.25/1.94 Prover 5: Constructing countermodel ...
% 10.92/2.27 Prover 3: proved (1607ms)
% 10.92/2.27
% 10.92/2.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.92/2.28
% 11.33/2.29 Prover 2: stopped
% 11.33/2.29 Prover 6: stopped
% 11.33/2.29 Prover 5: stopped
% 11.33/2.29 Prover 0: stopped
% 11.33/2.30 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 11.33/2.30 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 11.33/2.30 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 11.33/2.30 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 11.33/2.30 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 12.43/2.46 Prover 8: Preprocessing ...
% 12.43/2.47 Prover 7: Preprocessing ...
% 12.43/2.49 Prover 13: Preprocessing ...
% 12.43/2.49 Prover 10: Preprocessing ...
% 12.43/2.49 Prover 11: Preprocessing ...
% 13.11/2.53 Prover 8: Constructing countermodel ...
% 13.11/2.60 Prover 10: Constructing countermodel ...
% 13.11/2.60 Prover 7: Constructing countermodel ...
% 13.11/2.61 Prover 11: Constructing countermodel ...
% 14.42/2.73 Prover 13: Constructing countermodel ...
% 16.81/3.11 Prover 1: Found proof (size 437)
% 16.81/3.11 Prover 1: proved (2460ms)
% 17.39/3.11 Prover 11: stopped
% 17.39/3.11 Prover 10: stopped
% 17.39/3.11 Prover 8: stopped
% 17.39/3.11 Prover 7: stopped
% 17.39/3.11 Prover 13: stopped
% 17.39/3.13 Prover 4: Found proof (size 439)
% 17.39/3.13 Prover 4: proved (2473ms)
% 17.39/3.13
% 17.39/3.13 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.39/3.13
% 18.23/3.33 % SZS output start Proof for theBenchmark
% 18.23/3.34 Assumptions after simplification:
% 18.23/3.34 ---------------------------------
% 18.23/3.34
% 18.23/3.34 (ax1)
% 18.23/3.34 ~ (e14 = e13) & ~ (e14 = e12) & ~ (e14 = e10) & ~ (e14 = e11) & ~ (e13 =
% 18.23/3.34 e12) & ~ (e13 = e10) & ~ (e13 = e11) & ~ (e12 = e10) & ~ (e12 = e11) &
% 18.23/3.34 ~ (e10 = e11) & $i(e14) & $i(e13) & $i(e12) & $i(e10) & $i(e11)
% 18.23/3.34
% 18.23/3.34 (ax2)
% 18.23/3.34 ~ (e24 = e23) & ~ (e24 = e22) & ~ (e24 = e20) & ~ (e24 = e21) & ~ (e23 =
% 18.23/3.34 e22) & ~ (e23 = e20) & ~ (e23 = e21) & ~ (e22 = e20) & ~ (e22 = e21) &
% 18.23/3.35 ~ (e20 = e21) & $i(e24) & $i(e23) & $i(e22) & $i(e20) & $i(e21)
% 18.23/3.35
% 18.23/3.35 (ax4)
% 18.38/3.37 op1(e14, e14) = e10 & op1(e14, e13) = e12 & op1(e14, e12) = e11 & op1(e14,
% 18.38/3.37 e10) = e14 & op1(e14, e11) = e13 & op1(e13, e14) = e11 & op1(e13, e13) = e14
% 18.38/3.37 & op1(e13, e12) = e10 & op1(e13, e10) = e13 & op1(e13, e11) = e12 & op1(e12,
% 18.38/3.37 e14) = e13 & op1(e12, e13) = e11 & op1(e12, e12) = e14 & op1(e12, e10) = e12
% 18.38/3.38 & op1(e12, e11) = e10 & op1(e10, e14) = e14 & op1(e10, e13) = e13 & op1(e10,
% 18.38/3.38 e12) = e12 & op1(e10, e10) = e10 & op1(e10, e11) = e11 & op1(e11, e14) = e12
% 18.38/3.38 & op1(e11, e13) = e10 & op1(e11, e12) = e13 & op1(e11, e10) = e11 & op1(e11,
% 18.38/3.38 e11) = e14 & $i(e14) & $i(e13) & $i(e12) & $i(e10) & $i(e11)
% 18.38/3.38
% 18.38/3.38 (ax5)
% 18.38/3.38 op2(e24, e24) = e20 & op2(e24, e23) = e22 & op2(e24, e22) = e21 & op2(e24,
% 18.38/3.38 e20) = e24 & op2(e24, e21) = e23 & op2(e23, e24) = e22 & op2(e23, e23) = e21
% 18.38/3.38 & op2(e23, e22) = e20 & op2(e23, e20) = e23 & op2(e23, e21) = e24 & op2(e22,
% 18.38/3.38 e24) = e21 & op2(e22, e23) = e24 & op2(e22, e22) = e23 & op2(e22, e20) = e22
% 18.38/3.38 & op2(e22, e21) = e20 & op2(e20, e24) = e24 & op2(e20, e23) = e23 & op2(e20,
% 18.38/3.38 e22) = e22 & op2(e20, e20) = e20 & op2(e20, e21) = e21 & op2(e21, e24) = e23
% 18.38/3.38 & op2(e21, e23) = e20 & op2(e21, e22) = e24 & op2(e21, e20) = e21 & op2(e21,
% 18.38/3.38 e21) = e22 & $i(e24) & $i(e23) & $i(e22) & $i(e20) & $i(e21)
% 18.38/3.38
% 18.38/3.38 (co1)
% 18.57/3.41 $i(e24) & $i(e23) & $i(e22) & $i(e20) & $i(e21) & $i(e14) & $i(e13) & $i(e12)
% 18.57/3.41 & $i(e10) & $i(e11) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 18.57/3.41 ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9:
% 18.57/3.41 $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 18.57/3.41 $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 18.57/3.41 $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24:
% 18.57/3.41 $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29:
% 18.57/3.41 $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34:
% 18.57/3.41 $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ? [v39:
% 18.57/3.41 $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] : ? [v44:
% 18.57/3.41 $i] : ? [v45: $i] : ? [v46: $i] : ? [v47: $i] : ? [v48: $i] : ? [v49:
% 18.57/3.41 $i] : ? [v50: $i] : ? [v51: $i] : ? [v52: $i] : ? [v53: $i] : ? [v54:
% 18.57/3.41 $i] : ? [v55: $i] : ? [v56: $i] : ? [v57: $i] : ? [v58: $i] : ? [v59:
% 18.57/3.41 $i] : ? [v60: $i] : ? [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64:
% 18.57/3.41 $i] : ? [v65: $i] : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69:
% 18.57/3.41 $i] : ? [v70: $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74:
% 18.57/3.41 $i] : ? [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79:
% 18.57/3.41 $i] : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84:
% 18.57/3.41 $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? [v89:
% 18.57/3.41 $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] : ? [v94:
% 18.57/3.41 $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: $i] : ? [v99:
% 18.57/3.41 $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] : ? [v103: $i] : ?
% 18.57/3.41 [v104: $i] : ? [v105: $i] : ? [v106: $i] : ? [v107: $i] : ? [v108: $i] :
% 18.57/3.41 ? [v109: $i] : (h(v58) = v59 & h(v56) = v57 & h(v54) = v55 & h(v52) = v53 &
% 18.57/3.41 h(v50) = v51 & h(v48) = v49 & h(v46) = v47 & h(v44) = v45 & h(v42) = v43 &
% 18.57/3.41 h(v40) = v41 & h(v38) = v39 & h(v36) = v37 & h(v34) = v35 & h(v32) = v33 &
% 18.57/3.41 h(v30) = v31 & h(v28) = v29 & h(v26) = v27 & h(v24) = v25 & h(v22) = v23 &
% 18.57/3.41 h(v20) = v21 & h(v18) = v19 & h(v16) = v17 & h(v14) = v15 & h(v12) = v13 &
% 18.57/3.41 h(v10) = v11 & h(v9) = e24 & h(v8) = e23 & h(v7) = e22 & h(v6) = e21 & h(v5)
% 18.57/3.41 = e20 & h(e14) = v4 & h(e13) = v3 & h(e12) = v2 & h(e10) = v0 & h(e11) = v1
% 18.57/3.41 & j(v108) = v109 & j(v106) = v107 & j(v104) = v105 & j(v102) = v103 &
% 18.57/3.41 j(v100) = v101 & j(v98) = v99 & j(v96) = v97 & j(v94) = v95 & j(v92) = v93 &
% 18.57/3.41 j(v90) = v91 & j(v88) = v89 & j(v86) = v87 & j(v84) = v85 & j(v82) = v83 &
% 18.57/3.41 j(v80) = v81 & j(v78) = v79 & j(v76) = v77 & j(v74) = v75 & j(v72) = v73 &
% 18.57/3.41 j(v70) = v71 & j(v68) = v69 & j(v66) = v67 & j(v64) = v65 & j(v62) = v63 &
% 18.57/3.41 j(v60) = v61 & j(v4) = e14 & j(v3) = e13 & j(v2) = e12 & j(v1) = e11 & j(v0)
% 18.57/3.41 = e10 & j(e24) = v9 & j(e23) = v8 & j(e22) = v7 & j(e20) = v5 & j(e21) = v6
% 18.57/3.41 & op2(v4, v4) = v59 & op2(v4, v3) = v57 & op2(v4, v2) = v55 & op2(v4, v1) =
% 18.57/3.41 v53 & op2(v4, v0) = v51 & op2(v3, v4) = v49 & op2(v3, v3) = v47 & op2(v3,
% 18.57/3.41 v2) = v45 & op2(v3, v1) = v43 & op2(v3, v0) = v41 & op2(v2, v4) = v39 &
% 18.57/3.41 op2(v2, v3) = v37 & op2(v2, v2) = v35 & op2(v2, v1) = v33 & op2(v2, v0) =
% 18.57/3.41 v31 & op2(v1, v4) = v29 & op2(v1, v3) = v27 & op2(v1, v2) = v25 & op2(v1,
% 18.57/3.41 v1) = v23 & op2(v1, v0) = v21 & op2(v0, v4) = v19 & op2(v0, v3) = v17 &
% 18.57/3.41 op2(v0, v2) = v15 & op2(v0, v1) = v13 & op2(v0, v0) = v11 & op2(e24, e24) =
% 18.57/3.41 v108 & op2(e24, e23) = v106 & op2(e24, e22) = v104 & op2(e24, e20) = v100 &
% 18.57/3.41 op2(e24, e21) = v102 & op2(e23, e24) = v98 & op2(e23, e23) = v96 & op2(e23,
% 18.57/3.41 e22) = v94 & op2(e23, e20) = v90 & op2(e23, e21) = v92 & op2(e22, e24) =
% 18.57/3.41 v88 & op2(e22, e23) = v86 & op2(e22, e22) = v84 & op2(e22, e20) = v80 &
% 18.57/3.41 op2(e22, e21) = v82 & op2(e20, e24) = v68 & op2(e20, e23) = v66 & op2(e20,
% 18.57/3.41 e22) = v64 & op2(e20, e20) = v60 & op2(e20, e21) = v62 & op2(e21, e24) =
% 18.57/3.41 v78 & op2(e21, e23) = v76 & op2(e21, e22) = v74 & op2(e21, e20) = v70 &
% 18.57/3.41 op2(e21, e21) = v72 & op1(v9, v9) = v109 & op1(v9, v8) = v107 & op1(v9, v7)
% 18.57/3.41 = v105 & op1(v9, v6) = v103 & op1(v9, v5) = v101 & op1(v8, v9) = v99 &
% 18.57/3.41 op1(v8, v8) = v97 & op1(v8, v7) = v95 & op1(v8, v6) = v93 & op1(v8, v5) =
% 18.57/3.41 v91 & op1(v7, v9) = v89 & op1(v7, v8) = v87 & op1(v7, v7) = v85 & op1(v7,
% 18.57/3.41 v6) = v83 & op1(v7, v5) = v81 & op1(v6, v9) = v79 & op1(v6, v8) = v77 &
% 18.57/3.41 op1(v6, v7) = v75 & op1(v6, v6) = v73 & op1(v6, v5) = v71 & op1(v5, v9) =
% 18.57/3.41 v69 & op1(v5, v8) = v67 & op1(v5, v7) = v65 & op1(v5, v6) = v63 & op1(v5,
% 18.57/3.41 v5) = v61 & op1(e14, e14) = v58 & op1(e14, e13) = v56 & op1(e14, e12) =
% 18.57/3.41 v54 & op1(e14, e10) = v50 & op1(e14, e11) = v52 & op1(e13, e14) = v48 &
% 18.57/3.41 op1(e13, e13) = v46 & op1(e13, e12) = v44 & op1(e13, e10) = v40 & op1(e13,
% 18.57/3.41 e11) = v42 & op1(e12, e14) = v38 & op1(e12, e13) = v36 & op1(e12, e12) =
% 18.57/3.41 v34 & op1(e12, e10) = v30 & op1(e12, e11) = v32 & op1(e10, e14) = v18 &
% 18.57/3.41 op1(e10, e13) = v16 & op1(e10, e12) = v14 & op1(e10, e10) = v10 & op1(e10,
% 18.57/3.41 e11) = v12 & op1(e11, e14) = v28 & op1(e11, e13) = v26 & op1(e11, e12) =
% 18.57/3.41 v24 & op1(e11, e10) = v20 & op1(e11, e11) = v22 & $i(v109) & $i(v108) &
% 18.57/3.41 $i(v107) & $i(v106) & $i(v105) & $i(v104) & $i(v103) & $i(v102) & $i(v101) &
% 18.57/3.41 $i(v100) & $i(v99) & $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) &
% 18.57/3.41 $i(v93) & $i(v92) & $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) &
% 18.57/3.41 $i(v86) & $i(v85) & $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) &
% 18.57/3.41 $i(v79) & $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) &
% 18.57/3.41 $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) &
% 18.57/3.41 $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) &
% 18.57/3.41 $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) &
% 18.57/3.41 $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) &
% 18.57/3.41 $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) &
% 18.57/3.41 $i(v37) & $i(v36) & $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) &
% 18.57/3.41 $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) &
% 18.57/3.41 $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) &
% 18.57/3.41 $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9)
% 18.57/3.41 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 18.57/3.41 $i(v0) & (v9 = e14 | v9 = e13 | v9 = e12 | v9 = e10 | v9 = e11) & (v8 = e14
% 18.57/3.41 | v8 = e13 | v8 = e12 | v8 = e10 | v8 = e11) & (v7 = e14 | v7 = e13 | v7 =
% 18.57/3.41 e12 | v7 = e10 | v7 = e11) & (v6 = e14 | v6 = e13 | v6 = e12 | v6 = e10 |
% 18.57/3.41 v6 = e11) & (v5 = e14 | v5 = e13 | v5 = e12 | v5 = e10 | v5 = e11) & (v4 =
% 18.57/3.41 e24 | v4 = e23 | v4 = e22 | v4 = e20 | v4 = e21) & (v3 = e24 | v3 = e23 |
% 18.57/3.41 v3 = e22 | v3 = e20 | v3 = e21) & (v2 = e24 | v2 = e23 | v2 = e22 | v2 =
% 18.57/3.41 e20 | v2 = e21) & (v1 = e24 | v1 = e23 | v1 = e22 | v1 = e20 | v1 = e21) &
% 18.57/3.41 (v0 = e24 | v0 = e23 | v0 = e22 | v0 = e20 | v0 = e21))
% 18.57/3.41
% 18.57/3.42 (function-axioms)
% 18.57/3.42 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op2(v3,
% 18.57/3.42 v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 18.57/3.42 $i] : ! [v3: $i] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) =
% 18.57/3.42 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) =
% 18.57/3.42 v1) | ~ (h(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 18.57/3.42 v0 | ~ (j(v2) = v1) | ~ (j(v2) = v0))
% 18.57/3.42
% 18.57/3.42 Further assumptions not needed in the proof:
% 18.57/3.42 --------------------------------------------
% 18.57/3.42 ax3
% 18.57/3.42
% 18.57/3.42 Those formulas are unsatisfiable:
% 18.57/3.42 ---------------------------------
% 18.57/3.42
% 18.57/3.42 Begin of proof
% 18.57/3.42 |
% 18.57/3.42 | ALPHA: (ax1) implies:
% 18.57/3.42 | (1) ~ (e14 = e10)
% 18.57/3.42 |
% 18.57/3.42 | ALPHA: (ax2) implies:
% 18.57/3.42 | (2) ~ (e22 = e20)
% 18.57/3.42 | (3) ~ (e23 = e21)
% 18.57/3.42 | (4) ~ (e24 = e21)
% 18.57/3.42 | (5) ~ (e24 = e20)
% 18.57/3.42 | (6) ~ (e24 = e23)
% 18.57/3.42 |
% 18.57/3.42 | ALPHA: (ax4) implies:
% 18.57/3.42 | (7) op1(e11, e11) = e14
% 18.57/3.42 | (8) op1(e11, e10) = e11
% 18.57/3.42 | (9) op1(e11, e13) = e10
% 18.57/3.42 | (10) op1(e11, e14) = e12
% 18.57/3.42 | (11) op1(e10, e11) = e11
% 18.57/3.42 | (12) op1(e10, e10) = e10
% 18.57/3.42 | (13) op1(e10, e12) = e12
% 18.57/3.42 | (14) op1(e10, e14) = e14
% 18.57/3.42 | (15) op1(e12, e11) = e10
% 18.57/3.42 | (16) op1(e12, e10) = e12
% 18.57/3.42 | (17) op1(e12, e12) = e14
% 18.57/3.42 | (18) op1(e12, e13) = e11
% 18.57/3.42 | (19) op1(e13, e11) = e12
% 18.57/3.42 | (20) op1(e13, e12) = e10
% 18.57/3.43 | (21) op1(e13, e13) = e14
% 18.57/3.43 | (22) op1(e13, e14) = e11
% 18.57/3.43 | (23) op1(e14, e10) = e14
% 18.57/3.43 | (24) op1(e14, e12) = e11
% 18.57/3.43 | (25) op1(e14, e13) = e12
% 18.57/3.43 | (26) op1(e14, e14) = e10
% 18.57/3.43 |
% 18.57/3.43 | ALPHA: (ax5) implies:
% 18.57/3.43 | (27) op2(e21, e21) = e22
% 18.57/3.43 | (28) op2(e21, e20) = e21
% 18.57/3.43 | (29) op2(e21, e22) = e24
% 18.57/3.43 | (30) op2(e21, e23) = e20
% 18.57/3.43 | (31) op2(e21, e24) = e23
% 18.57/3.43 | (32) op2(e20, e21) = e21
% 18.57/3.43 | (33) op2(e20, e20) = e20
% 18.57/3.43 | (34) op2(e20, e22) = e22
% 18.57/3.43 | (35) op2(e20, e23) = e23
% 18.57/3.43 | (36) op2(e20, e24) = e24
% 18.57/3.43 | (37) op2(e22, e21) = e20
% 18.57/3.43 | (38) op2(e22, e20) = e22
% 18.57/3.43 | (39) op2(e22, e22) = e23
% 18.57/3.43 | (40) op2(e22, e23) = e24
% 18.57/3.43 | (41) op2(e22, e24) = e21
% 18.57/3.43 | (42) op2(e23, e21) = e24
% 18.57/3.43 | (43) op2(e23, e20) = e23
% 18.57/3.43 | (44) op2(e23, e22) = e20
% 18.57/3.43 | (45) op2(e23, e23) = e21
% 18.57/3.43 | (46) op2(e23, e24) = e22
% 18.57/3.43 | (47) op2(e24, e21) = e23
% 18.57/3.43 | (48) op2(e24, e20) = e24
% 18.57/3.43 | (49) op2(e24, e22) = e21
% 18.57/3.43 | (50) op2(e24, e23) = e22
% 18.57/3.43 | (51) op2(e24, e24) = e20
% 18.57/3.43 |
% 18.57/3.43 | ALPHA: (co1) implies:
% 18.82/3.45 | (52) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 18.82/3.45 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 18.82/3.45 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 18.82/3.45 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 18.82/3.45 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 18.82/3.45 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 18.82/3.45 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 18.82/3.45 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i]
% 18.82/3.45 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42:
% 18.82/3.45 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ?
% 18.82/3.45 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i]
% 18.82/3.45 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56:
% 18.82/3.45 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ?
% 18.82/3.45 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i]
% 18.82/3.45 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 18.82/3.45 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ?
% 18.82/3.45 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i]
% 18.82/3.45 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84:
% 18.82/3.45 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ?
% 18.82/3.45 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i]
% 18.82/3.45 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98:
% 18.82/3.45 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] :
% 18.82/3.45 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ?
% 18.88/3.45 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : (h(v58) = v59 & h(v56) =
% 18.88/3.45 | v57 & h(v54) = v55 & h(v52) = v53 & h(v50) = v51 & h(v48) = v49 &
% 18.88/3.45 | h(v46) = v47 & h(v44) = v45 & h(v42) = v43 & h(v40) = v41 & h(v38) =
% 18.88/3.45 | v39 & h(v36) = v37 & h(v34) = v35 & h(v32) = v33 & h(v30) = v31 &
% 18.88/3.45 | h(v28) = v29 & h(v26) = v27 & h(v24) = v25 & h(v22) = v23 & h(v20) =
% 18.88/3.45 | v21 & h(v18) = v19 & h(v16) = v17 & h(v14) = v15 & h(v12) = v13 &
% 18.88/3.45 | h(v10) = v11 & h(v9) = e24 & h(v8) = e23 & h(v7) = e22 & h(v6) = e21
% 18.88/3.45 | & h(v5) = e20 & h(e14) = v4 & h(e13) = v3 & h(e12) = v2 & h(e10) =
% 18.88/3.45 | v0 & h(e11) = v1 & j(v108) = v109 & j(v106) = v107 & j(v104) = v105
% 18.88/3.45 | & j(v102) = v103 & j(v100) = v101 & j(v98) = v99 & j(v96) = v97 &
% 18.88/3.45 | j(v94) = v95 & j(v92) = v93 & j(v90) = v91 & j(v88) = v89 & j(v86) =
% 18.88/3.45 | v87 & j(v84) = v85 & j(v82) = v83 & j(v80) = v81 & j(v78) = v79 &
% 18.88/3.45 | j(v76) = v77 & j(v74) = v75 & j(v72) = v73 & j(v70) = v71 & j(v68) =
% 18.88/3.45 | v69 & j(v66) = v67 & j(v64) = v65 & j(v62) = v63 & j(v60) = v61 &
% 18.88/3.45 | j(v4) = e14 & j(v3) = e13 & j(v2) = e12 & j(v1) = e11 & j(v0) = e10
% 18.88/3.45 | & j(e24) = v9 & j(e23) = v8 & j(e22) = v7 & j(e20) = v5 & j(e21) =
% 18.88/3.45 | v6 & op2(v4, v4) = v59 & op2(v4, v3) = v57 & op2(v4, v2) = v55 &
% 18.88/3.45 | op2(v4, v1) = v53 & op2(v4, v0) = v51 & op2(v3, v4) = v49 & op2(v3,
% 18.88/3.45 | v3) = v47 & op2(v3, v2) = v45 & op2(v3, v1) = v43 & op2(v3, v0) =
% 18.88/3.45 | v41 & op2(v2, v4) = v39 & op2(v2, v3) = v37 & op2(v2, v2) = v35 &
% 18.88/3.45 | op2(v2, v1) = v33 & op2(v2, v0) = v31 & op2(v1, v4) = v29 & op2(v1,
% 18.88/3.45 | v3) = v27 & op2(v1, v2) = v25 & op2(v1, v1) = v23 & op2(v1, v0) =
% 18.88/3.45 | v21 & op2(v0, v4) = v19 & op2(v0, v3) = v17 & op2(v0, v2) = v15 &
% 18.88/3.45 | op2(v0, v1) = v13 & op2(v0, v0) = v11 & op2(e24, e24) = v108 &
% 18.88/3.45 | op2(e24, e23) = v106 & op2(e24, e22) = v104 & op2(e24, e20) = v100 &
% 18.88/3.45 | op2(e24, e21) = v102 & op2(e23, e24) = v98 & op2(e23, e23) = v96 &
% 18.88/3.45 | op2(e23, e22) = v94 & op2(e23, e20) = v90 & op2(e23, e21) = v92 &
% 18.88/3.45 | op2(e22, e24) = v88 & op2(e22, e23) = v86 & op2(e22, e22) = v84 &
% 18.88/3.45 | op2(e22, e20) = v80 & op2(e22, e21) = v82 & op2(e20, e24) = v68 &
% 18.88/3.45 | op2(e20, e23) = v66 & op2(e20, e22) = v64 & op2(e20, e20) = v60 &
% 18.88/3.45 | op2(e20, e21) = v62 & op2(e21, e24) = v78 & op2(e21, e23) = v76 &
% 18.88/3.45 | op2(e21, e22) = v74 & op2(e21, e20) = v70 & op2(e21, e21) = v72 &
% 18.88/3.45 | op1(v9, v9) = v109 & op1(v9, v8) = v107 & op1(v9, v7) = v105 &
% 18.88/3.45 | op1(v9, v6) = v103 & op1(v9, v5) = v101 & op1(v8, v9) = v99 &
% 18.88/3.45 | op1(v8, v8) = v97 & op1(v8, v7) = v95 & op1(v8, v6) = v93 & op1(v8,
% 18.88/3.45 | v5) = v91 & op1(v7, v9) = v89 & op1(v7, v8) = v87 & op1(v7, v7) =
% 18.88/3.45 | v85 & op1(v7, v6) = v83 & op1(v7, v5) = v81 & op1(v6, v9) = v79 &
% 18.88/3.45 | op1(v6, v8) = v77 & op1(v6, v7) = v75 & op1(v6, v6) = v73 & op1(v6,
% 18.88/3.45 | v5) = v71 & op1(v5, v9) = v69 & op1(v5, v8) = v67 & op1(v5, v7) =
% 18.88/3.45 | v65 & op1(v5, v6) = v63 & op1(v5, v5) = v61 & op1(e14, e14) = v58 &
% 18.88/3.45 | op1(e14, e13) = v56 & op1(e14, e12) = v54 & op1(e14, e10) = v50 &
% 18.88/3.45 | op1(e14, e11) = v52 & op1(e13, e14) = v48 & op1(e13, e13) = v46 &
% 18.88/3.45 | op1(e13, e12) = v44 & op1(e13, e10) = v40 & op1(e13, e11) = v42 &
% 18.88/3.45 | op1(e12, e14) = v38 & op1(e12, e13) = v36 & op1(e12, e12) = v34 &
% 18.88/3.45 | op1(e12, e10) = v30 & op1(e12, e11) = v32 & op1(e10, e14) = v18 &
% 18.88/3.45 | op1(e10, e13) = v16 & op1(e10, e12) = v14 & op1(e10, e10) = v10 &
% 18.88/3.45 | op1(e10, e11) = v12 & op1(e11, e14) = v28 & op1(e11, e13) = v26 &
% 18.88/3.45 | op1(e11, e12) = v24 & op1(e11, e10) = v20 & op1(e11, e11) = v22 &
% 18.88/3.45 | $i(v109) & $i(v108) & $i(v107) & $i(v106) & $i(v105) & $i(v104) &
% 18.88/3.45 | $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) & $i(v98) &
% 18.88/3.45 | $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) & $i(v91)
% 18.88/3.45 | & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & $i(v85) &
% 18.88/3.45 | $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78)
% 18.88/3.45 | & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & $i(v72) &
% 18.88/3.45 | $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65)
% 18.88/3.45 | & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) &
% 18.88/3.45 | $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52)
% 18.88/3.45 | & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46) &
% 18.88/3.45 | $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39)
% 18.88/3.45 | & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) & $i(v33) &
% 18.88/3.45 | $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26)
% 18.88/3.45 | & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 18.88/3.45 | $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13)
% 18.88/3.45 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 18.88/3.45 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v9 = e14 | v9
% 18.88/3.45 | = e13 | v9 = e12 | v9 = e10 | v9 = e11) & (v8 = e14 | v8 = e13 |
% 18.88/3.45 | v8 = e12 | v8 = e10 | v8 = e11) & (v7 = e14 | v7 = e13 | v7 = e12
% 18.88/3.45 | | v7 = e10 | v7 = e11) & (v6 = e14 | v6 = e13 | v6 = e12 | v6 =
% 18.88/3.45 | e10 | v6 = e11) & (v5 = e14 | v5 = e13 | v5 = e12 | v5 = e10 | v5
% 18.88/3.45 | = e11) & (v4 = e24 | v4 = e23 | v4 = e22 | v4 = e20 | v4 = e21) &
% 18.88/3.45 | (v3 = e24 | v3 = e23 | v3 = e22 | v3 = e20 | v3 = e21) & (v2 = e24 |
% 18.88/3.45 | v2 = e23 | v2 = e22 | v2 = e20 | v2 = e21) & (v1 = e24 | v1 = e23
% 18.88/3.45 | | v1 = e22 | v1 = e20 | v1 = e21) & (v0 = e24 | v0 = e23 | v0 =
% 18.88/3.45 | e22 | v0 = e20 | v0 = e21))
% 18.88/3.45 |
% 18.88/3.45 | ALPHA: (function-axioms) implies:
% 18.88/3.45 | (53) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = v1) |
% 18.88/3.45 | ~ (j(v2) = v0))
% 18.88/3.45 | (54) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) = v1) |
% 18.88/3.45 | ~ (h(v2) = v0))
% 18.88/3.45 | (55) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 18.88/3.45 | (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 18.88/3.45 | (56) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 18.88/3.45 | (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 18.88/3.45 |
% 18.88/3.45 | DELTA: instantiating (52) with fresh symbols all_4_0, all_4_1, all_4_2,
% 18.88/3.45 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9,
% 18.88/3.45 | all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16,
% 18.88/3.45 | all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23,
% 18.88/3.45 | all_4_24, all_4_25, all_4_26, all_4_27, all_4_28, all_4_29, all_4_30,
% 18.88/3.45 | all_4_31, all_4_32, all_4_33, all_4_34, all_4_35, all_4_36, all_4_37,
% 18.88/3.45 | all_4_38, all_4_39, all_4_40, all_4_41, all_4_42, all_4_43, all_4_44,
% 18.88/3.45 | all_4_45, all_4_46, all_4_47, all_4_48, all_4_49, all_4_50, all_4_51,
% 18.88/3.45 | all_4_52, all_4_53, all_4_54, all_4_55, all_4_56, all_4_57, all_4_58,
% 18.88/3.45 | all_4_59, all_4_60, all_4_61, all_4_62, all_4_63, all_4_64, all_4_65,
% 18.88/3.45 | all_4_66, all_4_67, all_4_68, all_4_69, all_4_70, all_4_71, all_4_72,
% 18.88/3.45 | all_4_73, all_4_74, all_4_75, all_4_76, all_4_77, all_4_78, all_4_79,
% 18.88/3.45 | all_4_80, all_4_81, all_4_82, all_4_83, all_4_84, all_4_85, all_4_86,
% 18.88/3.45 | all_4_87, all_4_88, all_4_89, all_4_90, all_4_91, all_4_92, all_4_93,
% 18.88/3.45 | all_4_94, all_4_95, all_4_96, all_4_97, all_4_98, all_4_99, all_4_100,
% 18.88/3.45 | all_4_101, all_4_102, all_4_103, all_4_104, all_4_105, all_4_106,
% 18.88/3.45 | all_4_107, all_4_108, all_4_109 gives:
% 18.88/3.46 | (57) h(all_4_51) = all_4_50 & h(all_4_53) = all_4_52 & h(all_4_55) =
% 18.88/3.46 | all_4_54 & h(all_4_57) = all_4_56 & h(all_4_59) = all_4_58 &
% 18.88/3.46 | h(all_4_61) = all_4_60 & h(all_4_63) = all_4_62 & h(all_4_65) =
% 18.88/3.46 | all_4_64 & h(all_4_67) = all_4_66 & h(all_4_69) = all_4_68 &
% 18.88/3.46 | h(all_4_71) = all_4_70 & h(all_4_73) = all_4_72 & h(all_4_75) =
% 18.88/3.46 | all_4_74 & h(all_4_77) = all_4_76 & h(all_4_79) = all_4_78 &
% 18.88/3.46 | h(all_4_81) = all_4_80 & h(all_4_83) = all_4_82 & h(all_4_85) =
% 18.88/3.46 | all_4_84 & h(all_4_87) = all_4_86 & h(all_4_89) = all_4_88 &
% 18.88/3.46 | h(all_4_91) = all_4_90 & h(all_4_93) = all_4_92 & h(all_4_95) =
% 18.88/3.46 | all_4_94 & h(all_4_97) = all_4_96 & h(all_4_99) = all_4_98 &
% 18.88/3.46 | h(all_4_100) = e24 & h(all_4_101) = e23 & h(all_4_102) = e22 &
% 18.88/3.46 | h(all_4_103) = e21 & h(all_4_104) = e20 & h(e14) = all_4_105 & h(e13)
% 18.88/3.46 | = all_4_106 & h(e12) = all_4_107 & h(e10) = all_4_109 & h(e11) =
% 18.88/3.46 | all_4_108 & j(all_4_1) = all_4_0 & j(all_4_3) = all_4_2 & j(all_4_5) =
% 18.88/3.46 | all_4_4 & j(all_4_7) = all_4_6 & j(all_4_9) = all_4_8 & j(all_4_11) =
% 18.88/3.46 | all_4_10 & j(all_4_13) = all_4_12 & j(all_4_15) = all_4_14 &
% 18.88/3.46 | j(all_4_17) = all_4_16 & j(all_4_19) = all_4_18 & j(all_4_21) =
% 18.88/3.46 | all_4_20 & j(all_4_23) = all_4_22 & j(all_4_25) = all_4_24 &
% 18.88/3.46 | j(all_4_27) = all_4_26 & j(all_4_29) = all_4_28 & j(all_4_31) =
% 18.88/3.46 | all_4_30 & j(all_4_33) = all_4_32 & j(all_4_35) = all_4_34 &
% 18.88/3.46 | j(all_4_37) = all_4_36 & j(all_4_39) = all_4_38 & j(all_4_41) =
% 18.88/3.46 | all_4_40 & j(all_4_43) = all_4_42 & j(all_4_45) = all_4_44 &
% 18.88/3.46 | j(all_4_47) = all_4_46 & j(all_4_49) = all_4_48 & j(all_4_105) = e14 &
% 18.88/3.46 | j(all_4_106) = e13 & j(all_4_107) = e12 & j(all_4_108) = e11 &
% 18.88/3.46 | j(all_4_109) = e10 & j(e24) = all_4_100 & j(e23) = all_4_101 & j(e22)
% 18.88/3.46 | = all_4_102 & j(e20) = all_4_104 & j(e21) = all_4_103 & op2(all_4_105,
% 18.88/3.46 | all_4_105) = all_4_50 & op2(all_4_105, all_4_106) = all_4_52 &
% 18.88/3.46 | op2(all_4_105, all_4_107) = all_4_54 & op2(all_4_105, all_4_108) =
% 18.88/3.46 | all_4_56 & op2(all_4_105, all_4_109) = all_4_58 & op2(all_4_106,
% 18.88/3.46 | all_4_105) = all_4_60 & op2(all_4_106, all_4_106) = all_4_62 &
% 18.88/3.46 | op2(all_4_106, all_4_107) = all_4_64 & op2(all_4_106, all_4_108) =
% 18.88/3.46 | all_4_66 & op2(all_4_106, all_4_109) = all_4_68 & op2(all_4_107,
% 18.88/3.46 | all_4_105) = all_4_70 & op2(all_4_107, all_4_106) = all_4_72 &
% 18.88/3.46 | op2(all_4_107, all_4_107) = all_4_74 & op2(all_4_107, all_4_108) =
% 18.88/3.46 | all_4_76 & op2(all_4_107, all_4_109) = all_4_78 & op2(all_4_108,
% 18.88/3.46 | all_4_105) = all_4_80 & op2(all_4_108, all_4_106) = all_4_82 &
% 18.88/3.46 | op2(all_4_108, all_4_107) = all_4_84 & op2(all_4_108, all_4_108) =
% 18.88/3.46 | all_4_86 & op2(all_4_108, all_4_109) = all_4_88 & op2(all_4_109,
% 18.88/3.46 | all_4_105) = all_4_90 & op2(all_4_109, all_4_106) = all_4_92 &
% 18.88/3.46 | op2(all_4_109, all_4_107) = all_4_94 & op2(all_4_109, all_4_108) =
% 18.88/3.46 | all_4_96 & op2(all_4_109, all_4_109) = all_4_98 & op2(e24, e24) =
% 18.88/3.46 | all_4_1 & op2(e24, e23) = all_4_3 & op2(e24, e22) = all_4_5 & op2(e24,
% 18.88/3.46 | e20) = all_4_9 & op2(e24, e21) = all_4_7 & op2(e23, e24) = all_4_11
% 18.88/3.46 | & op2(e23, e23) = all_4_13 & op2(e23, e22) = all_4_15 & op2(e23, e20)
% 18.88/3.46 | = all_4_19 & op2(e23, e21) = all_4_17 & op2(e22, e24) = all_4_21 &
% 18.88/3.46 | op2(e22, e23) = all_4_23 & op2(e22, e22) = all_4_25 & op2(e22, e20) =
% 18.88/3.46 | all_4_29 & op2(e22, e21) = all_4_27 & op2(e20, e24) = all_4_41 &
% 18.88/3.46 | op2(e20, e23) = all_4_43 & op2(e20, e22) = all_4_45 & op2(e20, e20) =
% 18.88/3.46 | all_4_49 & op2(e20, e21) = all_4_47 & op2(e21, e24) = all_4_31 &
% 18.88/3.46 | op2(e21, e23) = all_4_33 & op2(e21, e22) = all_4_35 & op2(e21, e20) =
% 18.88/3.46 | all_4_39 & op2(e21, e21) = all_4_37 & op1(all_4_100, all_4_100) =
% 18.88/3.46 | all_4_0 & op1(all_4_100, all_4_101) = all_4_2 & op1(all_4_100,
% 18.88/3.46 | all_4_102) = all_4_4 & op1(all_4_100, all_4_103) = all_4_6 &
% 18.88/3.46 | op1(all_4_100, all_4_104) = all_4_8 & op1(all_4_101, all_4_100) =
% 18.88/3.46 | all_4_10 & op1(all_4_101, all_4_101) = all_4_12 & op1(all_4_101,
% 18.88/3.46 | all_4_102) = all_4_14 & op1(all_4_101, all_4_103) = all_4_16 &
% 18.88/3.46 | op1(all_4_101, all_4_104) = all_4_18 & op1(all_4_102, all_4_100) =
% 18.88/3.46 | all_4_20 & op1(all_4_102, all_4_101) = all_4_22 & op1(all_4_102,
% 18.88/3.46 | all_4_102) = all_4_24 & op1(all_4_102, all_4_103) = all_4_26 &
% 18.88/3.46 | op1(all_4_102, all_4_104) = all_4_28 & op1(all_4_103, all_4_100) =
% 18.88/3.46 | all_4_30 & op1(all_4_103, all_4_101) = all_4_32 & op1(all_4_103,
% 18.88/3.46 | all_4_102) = all_4_34 & op1(all_4_103, all_4_103) = all_4_36 &
% 18.88/3.46 | op1(all_4_103, all_4_104) = all_4_38 & op1(all_4_104, all_4_100) =
% 18.88/3.46 | all_4_40 & op1(all_4_104, all_4_101) = all_4_42 & op1(all_4_104,
% 18.88/3.46 | all_4_102) = all_4_44 & op1(all_4_104, all_4_103) = all_4_46 &
% 18.88/3.46 | op1(all_4_104, all_4_104) = all_4_48 & op1(e14, e14) = all_4_51 &
% 18.88/3.46 | op1(e14, e13) = all_4_53 & op1(e14, e12) = all_4_55 & op1(e14, e10) =
% 18.88/3.46 | all_4_59 & op1(e14, e11) = all_4_57 & op1(e13, e14) = all_4_61 &
% 18.88/3.46 | op1(e13, e13) = all_4_63 & op1(e13, e12) = all_4_65 & op1(e13, e10) =
% 18.88/3.46 | all_4_69 & op1(e13, e11) = all_4_67 & op1(e12, e14) = all_4_71 &
% 18.88/3.46 | op1(e12, e13) = all_4_73 & op1(e12, e12) = all_4_75 & op1(e12, e10) =
% 18.88/3.46 | all_4_79 & op1(e12, e11) = all_4_77 & op1(e10, e14) = all_4_91 &
% 18.88/3.46 | op1(e10, e13) = all_4_93 & op1(e10, e12) = all_4_95 & op1(e10, e10) =
% 18.88/3.46 | all_4_99 & op1(e10, e11) = all_4_97 & op1(e11, e14) = all_4_81 &
% 18.88/3.46 | op1(e11, e13) = all_4_83 & op1(e11, e12) = all_4_85 & op1(e11, e10) =
% 18.88/3.46 | all_4_89 & op1(e11, e11) = all_4_87 & $i(all_4_0) & $i(all_4_1) &
% 18.88/3.46 | $i(all_4_2) & $i(all_4_3) & $i(all_4_4) & $i(all_4_5) & $i(all_4_6) &
% 18.88/3.46 | $i(all_4_7) & $i(all_4_8) & $i(all_4_9) & $i(all_4_10) & $i(all_4_11)
% 18.88/3.47 | & $i(all_4_12) & $i(all_4_13) & $i(all_4_14) & $i(all_4_15) &
% 18.88/3.47 | $i(all_4_16) & $i(all_4_17) & $i(all_4_18) & $i(all_4_19) &
% 18.88/3.47 | $i(all_4_20) & $i(all_4_21) & $i(all_4_22) & $i(all_4_23) &
% 18.88/3.47 | $i(all_4_24) & $i(all_4_25) & $i(all_4_26) & $i(all_4_27) &
% 18.88/3.47 | $i(all_4_28) & $i(all_4_29) & $i(all_4_30) & $i(all_4_31) &
% 18.88/3.47 | $i(all_4_32) & $i(all_4_33) & $i(all_4_34) & $i(all_4_35) &
% 18.88/3.47 | $i(all_4_36) & $i(all_4_37) & $i(all_4_38) & $i(all_4_39) &
% 18.88/3.47 | $i(all_4_40) & $i(all_4_41) & $i(all_4_42) & $i(all_4_43) &
% 18.88/3.47 | $i(all_4_44) & $i(all_4_45) & $i(all_4_46) & $i(all_4_47) &
% 18.88/3.47 | $i(all_4_48) & $i(all_4_49) & $i(all_4_50) & $i(all_4_51) &
% 18.88/3.47 | $i(all_4_52) & $i(all_4_53) & $i(all_4_54) & $i(all_4_55) &
% 18.88/3.47 | $i(all_4_56) & $i(all_4_57) & $i(all_4_58) & $i(all_4_59) &
% 18.88/3.47 | $i(all_4_60) & $i(all_4_61) & $i(all_4_62) & $i(all_4_63) &
% 18.88/3.47 | $i(all_4_64) & $i(all_4_65) & $i(all_4_66) & $i(all_4_67) &
% 18.88/3.47 | $i(all_4_68) & $i(all_4_69) & $i(all_4_70) & $i(all_4_71) &
% 18.88/3.47 | $i(all_4_72) & $i(all_4_73) & $i(all_4_74) & $i(all_4_75) &
% 18.88/3.47 | $i(all_4_76) & $i(all_4_77) & $i(all_4_78) & $i(all_4_79) &
% 18.88/3.47 | $i(all_4_80) & $i(all_4_81) & $i(all_4_82) & $i(all_4_83) &
% 18.88/3.47 | $i(all_4_84) & $i(all_4_85) & $i(all_4_86) & $i(all_4_87) &
% 18.88/3.47 | $i(all_4_88) & $i(all_4_89) & $i(all_4_90) & $i(all_4_91) &
% 18.88/3.47 | $i(all_4_92) & $i(all_4_93) & $i(all_4_94) & $i(all_4_95) &
% 18.88/3.47 | $i(all_4_96) & $i(all_4_97) & $i(all_4_98) & $i(all_4_99) &
% 18.88/3.47 | $i(all_4_100) & $i(all_4_101) & $i(all_4_102) & $i(all_4_103) &
% 18.88/3.47 | $i(all_4_104) & $i(all_4_105) & $i(all_4_106) & $i(all_4_107) &
% 18.88/3.47 | $i(all_4_108) & $i(all_4_109) & (all_4_100 = e14 | all_4_100 = e13 |
% 18.88/3.47 | all_4_100 = e12 | all_4_100 = e10 | all_4_100 = e11) & (all_4_101 =
% 18.88/3.47 | e14 | all_4_101 = e13 | all_4_101 = e12 | all_4_101 = e10 |
% 18.88/3.47 | all_4_101 = e11) & (all_4_102 = e14 | all_4_102 = e13 | all_4_102 =
% 18.88/3.47 | e12 | all_4_102 = e10 | all_4_102 = e11) & (all_4_103 = e14 |
% 18.88/3.47 | all_4_103 = e13 | all_4_103 = e12 | all_4_103 = e10 | all_4_103 =
% 18.88/3.47 | e11) & (all_4_104 = e14 | all_4_104 = e13 | all_4_104 = e12 |
% 18.88/3.47 | all_4_104 = e10 | all_4_104 = e11) & (all_4_105 = e24 | all_4_105 =
% 18.88/3.47 | e23 | all_4_105 = e22 | all_4_105 = e20 | all_4_105 = e21) &
% 18.88/3.47 | (all_4_106 = e24 | all_4_106 = e23 | all_4_106 = e22 | all_4_106 = e20
% 18.88/3.47 | | all_4_106 = e21) & (all_4_107 = e24 | all_4_107 = e23 | all_4_107
% 18.88/3.47 | = e22 | all_4_107 = e20 | all_4_107 = e21) & (all_4_108 = e24 |
% 18.88/3.47 | all_4_108 = e23 | all_4_108 = e22 | all_4_108 = e20 | all_4_108 =
% 18.88/3.47 | e21) & (all_4_109 = e24 | all_4_109 = e23 | all_4_109 = e22 |
% 18.88/3.47 | all_4_109 = e20 | all_4_109 = e21)
% 18.88/3.47 |
% 18.88/3.47 | ALPHA: (57) implies:
% 18.88/3.47 | (58) op1(e11, e11) = all_4_87
% 18.88/3.47 | (59) op1(e11, e10) = all_4_89
% 18.88/3.47 | (60) op1(e11, e13) = all_4_83
% 18.88/3.47 | (61) op1(e11, e14) = all_4_81
% 18.88/3.47 | (62) op1(e10, e11) = all_4_97
% 18.88/3.47 | (63) op1(e10, e10) = all_4_99
% 18.88/3.47 | (64) op1(e10, e12) = all_4_95
% 18.88/3.47 | (65) op1(e10, e14) = all_4_91
% 18.88/3.47 | (66) op1(e12, e11) = all_4_77
% 18.88/3.47 | (67) op1(e12, e10) = all_4_79
% 18.88/3.47 | (68) op1(e12, e12) = all_4_75
% 18.88/3.47 | (69) op1(e12, e13) = all_4_73
% 18.88/3.47 | (70) op1(e13, e11) = all_4_67
% 18.88/3.47 | (71) op1(e13, e12) = all_4_65
% 18.88/3.47 | (72) op1(e13, e13) = all_4_63
% 18.88/3.47 | (73) op1(e13, e14) = all_4_61
% 18.88/3.47 | (74) op1(e14, e10) = all_4_59
% 18.88/3.47 | (75) op1(e14, e12) = all_4_55
% 18.88/3.47 | (76) op1(e14, e13) = all_4_53
% 18.88/3.47 | (77) op1(e14, e14) = all_4_51
% 18.88/3.47 | (78) op1(all_4_104, all_4_104) = all_4_48
% 18.88/3.47 | (79) op1(all_4_103, all_4_103) = all_4_36
% 18.88/3.47 | (80) op1(all_4_103, all_4_101) = all_4_32
% 18.88/3.47 | (81) op1(all_4_102, all_4_104) = all_4_28
% 18.88/3.47 | (82) op1(all_4_102, all_4_102) = all_4_24
% 18.88/3.47 | (83) op1(all_4_102, all_4_101) = all_4_22
% 18.88/3.47 | (84) op1(all_4_102, all_4_100) = all_4_20
% 18.88/3.47 | (85) op1(all_4_101, all_4_104) = all_4_18
% 18.88/3.47 | (86) op1(all_4_101, all_4_103) = all_4_16
% 18.88/3.47 | (87) op1(all_4_101, all_4_102) = all_4_14
% 18.88/3.47 | (88) op1(all_4_101, all_4_101) = all_4_12
% 18.88/3.47 | (89) op1(all_4_101, all_4_100) = all_4_10
% 18.88/3.47 | (90) op2(e21, e21) = all_4_37
% 18.88/3.47 | (91) op2(e21, e20) = all_4_39
% 18.88/3.47 | (92) op2(e21, e22) = all_4_35
% 18.88/3.47 | (93) op2(e21, e23) = all_4_33
% 18.88/3.47 | (94) op2(e21, e24) = all_4_31
% 18.88/3.47 | (95) op2(e20, e21) = all_4_47
% 18.88/3.47 | (96) op2(e20, e20) = all_4_49
% 18.88/3.47 | (97) op2(e20, e22) = all_4_45
% 18.88/3.47 | (98) op2(e20, e23) = all_4_43
% 18.88/3.47 | (99) op2(e20, e24) = all_4_41
% 18.88/3.47 | (100) op2(e22, e21) = all_4_27
% 18.88/3.47 | (101) op2(e22, e20) = all_4_29
% 18.88/3.47 | (102) op2(e22, e22) = all_4_25
% 18.88/3.47 | (103) op2(e22, e23) = all_4_23
% 18.88/3.47 | (104) op2(e22, e24) = all_4_21
% 18.88/3.47 | (105) op2(e23, e21) = all_4_17
% 18.88/3.47 | (106) op2(e23, e20) = all_4_19
% 18.88/3.47 | (107) op2(e23, e22) = all_4_15
% 18.88/3.47 | (108) op2(e23, e23) = all_4_13
% 18.88/3.47 | (109) op2(e23, e24) = all_4_11
% 18.88/3.47 | (110) op2(e24, e21) = all_4_7
% 18.88/3.47 | (111) op2(e24, e20) = all_4_9
% 18.88/3.47 | (112) op2(e24, e22) = all_4_5
% 18.88/3.48 | (113) op2(e24, e23) = all_4_3
% 18.88/3.48 | (114) op2(e24, e24) = all_4_1
% 18.88/3.48 | (115) op2(all_4_109, all_4_109) = all_4_98
% 18.88/3.48 | (116) op2(all_4_108, all_4_108) = all_4_86
% 18.88/3.48 | (117) op2(all_4_108, all_4_105) = all_4_80
% 18.88/3.48 | (118) op2(all_4_107, all_4_107) = all_4_74
% 18.88/3.48 | (119) op2(all_4_105, all_4_107) = all_4_54
% 18.88/3.48 | (120) op2(all_4_105, all_4_105) = all_4_50
% 18.88/3.48 | (121) j(e21) = all_4_103
% 18.88/3.48 | (122) j(e20) = all_4_104
% 18.88/3.48 | (123) j(e22) = all_4_102
% 18.88/3.48 | (124) j(e23) = all_4_101
% 18.88/3.48 | (125) j(e24) = all_4_100
% 18.88/3.48 | (126) j(all_4_109) = e10
% 18.88/3.48 | (127) j(all_4_105) = e14
% 18.88/3.48 | (128) j(all_4_49) = all_4_48
% 18.88/3.48 | (129) j(all_4_47) = all_4_46
% 18.88/3.48 | (130) j(all_4_45) = all_4_44
% 18.88/3.48 | (131) j(all_4_43) = all_4_42
% 18.88/3.48 | (132) j(all_4_41) = all_4_40
% 18.88/3.48 | (133) j(all_4_39) = all_4_38
% 18.88/3.48 | (134) j(all_4_37) = all_4_36
% 18.88/3.48 | (135) j(all_4_35) = all_4_34
% 18.88/3.48 | (136) j(all_4_33) = all_4_32
% 18.88/3.48 | (137) j(all_4_31) = all_4_30
% 18.88/3.48 | (138) j(all_4_29) = all_4_28
% 18.88/3.48 | (139) j(all_4_27) = all_4_26
% 18.88/3.48 | (140) j(all_4_25) = all_4_24
% 18.88/3.48 | (141) j(all_4_23) = all_4_22
% 18.88/3.48 | (142) j(all_4_21) = all_4_20
% 18.88/3.48 | (143) j(all_4_19) = all_4_18
% 18.88/3.48 | (144) j(all_4_17) = all_4_16
% 18.88/3.48 | (145) j(all_4_15) = all_4_14
% 18.88/3.48 | (146) j(all_4_13) = all_4_12
% 18.88/3.48 | (147) j(all_4_11) = all_4_10
% 18.88/3.48 | (148) j(all_4_9) = all_4_8
% 18.88/3.48 | (149) j(all_4_7) = all_4_6
% 18.88/3.48 | (150) j(all_4_5) = all_4_4
% 18.88/3.48 | (151) j(all_4_3) = all_4_2
% 18.88/3.48 | (152) j(all_4_1) = all_4_0
% 18.88/3.48 | (153) h(e11) = all_4_108
% 18.88/3.48 | (154) h(e10) = all_4_109
% 18.88/3.48 | (155) h(e12) = all_4_107
% 18.88/3.48 | (156) h(e14) = all_4_105
% 18.88/3.48 | (157) h(all_4_104) = e20
% 18.88/3.48 | (158) h(all_4_102) = e22
% 18.88/3.48 | (159) h(all_4_99) = all_4_98
% 18.88/3.48 | (160) h(all_4_97) = all_4_96
% 18.88/3.48 | (161) h(all_4_95) = all_4_94
% 18.88/3.48 | (162) h(all_4_91) = all_4_90
% 18.88/3.48 | (163) h(all_4_89) = all_4_88
% 18.88/3.48 | (164) h(all_4_87) = all_4_86
% 18.88/3.48 | (165) h(all_4_83) = all_4_82
% 18.88/3.48 | (166) h(all_4_81) = all_4_80
% 18.88/3.48 | (167) h(all_4_79) = all_4_78
% 18.88/3.48 | (168) h(all_4_77) = all_4_76
% 18.88/3.48 | (169) h(all_4_75) = all_4_74
% 18.88/3.48 | (170) h(all_4_73) = all_4_72
% 18.88/3.48 | (171) h(all_4_67) = all_4_66
% 18.88/3.48 | (172) h(all_4_65) = all_4_64
% 18.88/3.48 | (173) h(all_4_63) = all_4_62
% 18.88/3.48 | (174) h(all_4_61) = all_4_60
% 18.88/3.48 | (175) h(all_4_59) = all_4_58
% 18.88/3.48 | (176) h(all_4_55) = all_4_54
% 18.88/3.48 | (177) h(all_4_53) = all_4_52
% 18.88/3.48 | (178) h(all_4_51) = all_4_50
% 18.88/3.48 | (179) all_4_109 = e24 | all_4_109 = e23 | all_4_109 = e22 | all_4_109 = e20
% 18.88/3.48 | | all_4_109 = e21
% 18.88/3.48 | (180) all_4_108 = e24 | all_4_108 = e23 | all_4_108 = e22 | all_4_108 = e20
% 18.88/3.48 | | all_4_108 = e21
% 18.88/3.48 | (181) all_4_107 = e24 | all_4_107 = e23 | all_4_107 = e22 | all_4_107 = e20
% 18.88/3.48 | | all_4_107 = e21
% 18.88/3.48 | (182) all_4_105 = e24 | all_4_105 = e23 | all_4_105 = e22 | all_4_105 = e20
% 18.88/3.48 | | all_4_105 = e21
% 18.88/3.48 | (183) all_4_102 = e14 | all_4_102 = e13 | all_4_102 = e12 | all_4_102 = e10
% 18.88/3.48 | | all_4_102 = e11
% 18.88/3.48 | (184) all_4_101 = e14 | all_4_101 = e13 | all_4_101 = e12 | all_4_101 = e10
% 18.88/3.48 | | all_4_101 = e11
% 18.88/3.48 |
% 18.88/3.48 | GROUND_INST: instantiating (55) with e14, all_4_87, e11, e11, simplifying with
% 18.88/3.48 | (7), (58) gives:
% 18.88/3.48 | (185) all_4_87 = e14
% 18.88/3.48 |
% 18.88/3.48 | GROUND_INST: instantiating (55) with e11, all_4_89, e10, e11, simplifying with
% 18.88/3.48 | (8), (59) gives:
% 18.88/3.48 | (186) all_4_89 = e11
% 18.88/3.48 |
% 18.88/3.48 | GROUND_INST: instantiating (55) with e10, all_4_83, e13, e11, simplifying with
% 18.88/3.48 | (9), (60) gives:
% 18.88/3.48 | (187) all_4_83 = e10
% 18.88/3.48 |
% 18.88/3.48 | GROUND_INST: instantiating (55) with e12, all_4_81, e14, e11, simplifying with
% 18.88/3.48 | (10), (61) gives:
% 18.88/3.48 | (188) all_4_81 = e12
% 18.88/3.48 |
% 18.88/3.48 | GROUND_INST: instantiating (55) with e11, all_4_97, e11, e10, simplifying with
% 18.88/3.48 | (11), (62) gives:
% 18.88/3.48 | (189) all_4_97 = e11
% 18.88/3.48 |
% 18.88/3.48 | GROUND_INST: instantiating (55) with e10, all_4_99, e10, e10, simplifying with
% 18.88/3.48 | (12), (63) gives:
% 18.88/3.48 | (190) all_4_99 = e10
% 18.88/3.48 |
% 18.88/3.48 | GROUND_INST: instantiating (55) with e12, all_4_95, e12, e10, simplifying with
% 18.88/3.48 | (13), (64) gives:
% 18.88/3.48 | (191) all_4_95 = e12
% 18.88/3.48 |
% 18.88/3.48 | GROUND_INST: instantiating (55) with e14, all_4_91, e14, e10, simplifying with
% 18.88/3.48 | (14), (65) gives:
% 18.88/3.48 | (192) all_4_91 = e14
% 18.88/3.48 |
% 18.88/3.49 | GROUND_INST: instantiating (55) with e10, all_4_77, e11, e12, simplifying with
% 18.88/3.49 | (15), (66) gives:
% 18.88/3.49 | (193) all_4_77 = e10
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (55) with e12, all_4_79, e10, e12, simplifying with
% 18.88/3.49 | (16), (67) gives:
% 18.88/3.49 | (194) all_4_79 = e12
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (55) with e14, all_4_75, e12, e12, simplifying with
% 18.88/3.49 | (17), (68) gives:
% 18.88/3.49 | (195) all_4_75 = e14
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (55) with e11, all_4_73, e13, e12, simplifying with
% 18.88/3.49 | (18), (69) gives:
% 18.88/3.49 | (196) all_4_73 = e11
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (55) with e12, all_4_67, e11, e13, simplifying with
% 18.88/3.49 | (19), (70) gives:
% 18.88/3.49 | (197) all_4_67 = e12
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (55) with e10, all_4_65, e12, e13, simplifying with
% 18.88/3.49 | (20), (71) gives:
% 18.88/3.49 | (198) all_4_65 = e10
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (55) with e14, all_4_63, e13, e13, simplifying with
% 18.88/3.49 | (21), (72) gives:
% 18.88/3.49 | (199) all_4_63 = e14
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (55) with e11, all_4_61, e14, e13, simplifying with
% 18.88/3.49 | (22), (73) gives:
% 18.88/3.49 | (200) all_4_61 = e11
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (55) with e14, all_4_59, e10, e14, simplifying with
% 18.88/3.49 | (23), (74) gives:
% 18.88/3.49 | (201) all_4_59 = e14
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (55) with e11, all_4_55, e12, e14, simplifying with
% 18.88/3.49 | (24), (75) gives:
% 18.88/3.49 | (202) all_4_55 = e11
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (55) with e12, all_4_53, e13, e14, simplifying with
% 18.88/3.49 | (25), (76) gives:
% 18.88/3.49 | (203) all_4_53 = e12
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (55) with e10, all_4_51, e14, e14, simplifying with
% 18.88/3.49 | (26), (77) gives:
% 18.88/3.49 | (204) all_4_51 = e10
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e22, all_4_37, e21, e21, simplifying with
% 18.88/3.49 | (27), (90) gives:
% 18.88/3.49 | (205) all_4_37 = e22
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e21, all_4_39, e20, e21, simplifying with
% 18.88/3.49 | (28), (91) gives:
% 18.88/3.49 | (206) all_4_39 = e21
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e24, all_4_35, e22, e21, simplifying with
% 18.88/3.49 | (29), (92) gives:
% 18.88/3.49 | (207) all_4_35 = e24
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e20, all_4_33, e23, e21, simplifying with
% 18.88/3.49 | (30), (93) gives:
% 18.88/3.49 | (208) all_4_33 = e20
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e23, all_4_31, e24, e21, simplifying with
% 18.88/3.49 | (31), (94) gives:
% 18.88/3.49 | (209) all_4_31 = e23
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e21, all_4_47, e21, e20, simplifying with
% 18.88/3.49 | (32), (95) gives:
% 18.88/3.49 | (210) all_4_47 = e21
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e20, all_4_49, e20, e20, simplifying with
% 18.88/3.49 | (33), (96) gives:
% 18.88/3.49 | (211) all_4_49 = e20
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e22, all_4_45, e22, e20, simplifying with
% 18.88/3.49 | (34), (97) gives:
% 18.88/3.49 | (212) all_4_45 = e22
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e23, all_4_43, e23, e20, simplifying with
% 18.88/3.49 | (35), (98) gives:
% 18.88/3.49 | (213) all_4_43 = e23
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e24, all_4_41, e24, e20, simplifying with
% 18.88/3.49 | (36), (99) gives:
% 18.88/3.49 | (214) all_4_41 = e24
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e20, all_4_27, e21, e22, simplifying with
% 18.88/3.49 | (37), (100) gives:
% 18.88/3.49 | (215) all_4_27 = e20
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e22, all_4_29, e20, e22, simplifying with
% 18.88/3.49 | (38), (101) gives:
% 18.88/3.49 | (216) all_4_29 = e22
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e23, all_4_25, e22, e22, simplifying with
% 18.88/3.49 | (39), (102) gives:
% 18.88/3.49 | (217) all_4_25 = e23
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e24, all_4_23, e23, e22, simplifying with
% 18.88/3.49 | (40), (103) gives:
% 18.88/3.49 | (218) all_4_23 = e24
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e21, all_4_21, e24, e22, simplifying with
% 18.88/3.49 | (41), (104) gives:
% 18.88/3.49 | (219) all_4_21 = e21
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e24, all_4_17, e21, e23, simplifying with
% 18.88/3.49 | (42), (105) gives:
% 18.88/3.49 | (220) all_4_17 = e24
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e23, all_4_19, e20, e23, simplifying with
% 18.88/3.49 | (43), (106) gives:
% 18.88/3.49 | (221) all_4_19 = e23
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e20, all_4_15, e22, e23, simplifying with
% 18.88/3.49 | (44), (107) gives:
% 18.88/3.49 | (222) all_4_15 = e20
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e21, all_4_13, e23, e23, simplifying with
% 18.88/3.49 | (45), (108) gives:
% 18.88/3.49 | (223) all_4_13 = e21
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e22, all_4_11, e24, e23, simplifying with
% 18.88/3.49 | (46), (109) gives:
% 18.88/3.49 | (224) all_4_11 = e22
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e23, all_4_7, e21, e24, simplifying with
% 18.88/3.49 | (47), (110) gives:
% 18.88/3.49 | (225) all_4_7 = e23
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e24, all_4_9, e20, e24, simplifying with
% 18.88/3.49 | (48), (111) gives:
% 18.88/3.49 | (226) all_4_9 = e24
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e21, all_4_5, e22, e24, simplifying with
% 18.88/3.49 | (49), (112) gives:
% 18.88/3.49 | (227) all_4_5 = e21
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e22, all_4_3, e23, e24, simplifying with
% 18.88/3.49 | (50), (113) gives:
% 18.88/3.49 | (228) all_4_3 = e22
% 18.88/3.49 |
% 18.88/3.49 | GROUND_INST: instantiating (56) with e20, all_4_1, e24, e24, simplifying with
% 18.88/3.49 | (51), (114) gives:
% 18.88/3.49 | (229) all_4_1 = e20
% 18.88/3.49 |
% 18.88/3.49 | REDUCE: (178), (204) imply:
% 18.88/3.49 | (230) h(e10) = all_4_50
% 18.88/3.49 |
% 18.88/3.49 | REDUCE: (177), (203) imply:
% 18.88/3.49 | (231) h(e12) = all_4_52
% 18.88/3.49 |
% 18.88/3.49 | REDUCE: (176), (202) imply:
% 18.88/3.49 | (232) h(e11) = all_4_54
% 18.88/3.49 |
% 18.88/3.49 | REDUCE: (175), (201) imply:
% 18.88/3.49 | (233) h(e14) = all_4_58
% 18.88/3.49 |
% 18.88/3.49 | REDUCE: (174), (200) imply:
% 18.88/3.50 | (234) h(e11) = all_4_60
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (173), (199) imply:
% 18.88/3.50 | (235) h(e14) = all_4_62
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (172), (198) imply:
% 18.88/3.50 | (236) h(e10) = all_4_64
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (171), (197) imply:
% 18.88/3.50 | (237) h(e12) = all_4_66
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (170), (196) imply:
% 18.88/3.50 | (238) h(e11) = all_4_72
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (169), (195) imply:
% 18.88/3.50 | (239) h(e14) = all_4_74
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (168), (193) imply:
% 18.88/3.50 | (240) h(e10) = all_4_76
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (167), (194) imply:
% 18.88/3.50 | (241) h(e12) = all_4_78
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (166), (188) imply:
% 18.88/3.50 | (242) h(e12) = all_4_80
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (165), (187) imply:
% 18.88/3.50 | (243) h(e10) = all_4_82
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (164), (185) imply:
% 18.88/3.50 | (244) h(e14) = all_4_86
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (163), (186) imply:
% 18.88/3.50 | (245) h(e11) = all_4_88
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (162), (192) imply:
% 18.88/3.50 | (246) h(e14) = all_4_90
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (161), (191) imply:
% 18.88/3.50 | (247) h(e12) = all_4_94
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (160), (189) imply:
% 18.88/3.50 | (248) h(e11) = all_4_96
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (159), (190) imply:
% 18.88/3.50 | (249) h(e10) = all_4_98
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (152), (229) imply:
% 18.88/3.50 | (250) j(e20) = all_4_0
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (151), (228) imply:
% 18.88/3.50 | (251) j(e22) = all_4_2
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (150), (227) imply:
% 18.88/3.50 | (252) j(e21) = all_4_4
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (149), (225) imply:
% 18.88/3.50 | (253) j(e23) = all_4_6
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (148), (226) imply:
% 18.88/3.50 | (254) j(e24) = all_4_8
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (147), (224) imply:
% 18.88/3.50 | (255) j(e22) = all_4_10
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (146), (223) imply:
% 18.88/3.50 | (256) j(e21) = all_4_12
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (145), (222) imply:
% 18.88/3.50 | (257) j(e20) = all_4_14
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (144), (220) imply:
% 18.88/3.50 | (258) j(e24) = all_4_16
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (143), (221) imply:
% 18.88/3.50 | (259) j(e23) = all_4_18
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (142), (219) imply:
% 18.88/3.50 | (260) j(e21) = all_4_20
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (141), (218) imply:
% 18.88/3.50 | (261) j(e24) = all_4_22
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (140), (217) imply:
% 18.88/3.50 | (262) j(e23) = all_4_24
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (139), (215) imply:
% 18.88/3.50 | (263) j(e20) = all_4_26
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (138), (216) imply:
% 18.88/3.50 | (264) j(e22) = all_4_28
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (137), (209) imply:
% 18.88/3.50 | (265) j(e23) = all_4_30
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (136), (208) imply:
% 18.88/3.50 | (266) j(e20) = all_4_32
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (135), (207) imply:
% 18.88/3.50 | (267) j(e24) = all_4_34
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (134), (205) imply:
% 18.88/3.50 | (268) j(e22) = all_4_36
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (133), (206) imply:
% 18.88/3.50 | (269) j(e21) = all_4_38
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (132), (214) imply:
% 18.88/3.50 | (270) j(e24) = all_4_40
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (131), (213) imply:
% 18.88/3.50 | (271) j(e23) = all_4_42
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (130), (212) imply:
% 18.88/3.50 | (272) j(e22) = all_4_44
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (129), (210) imply:
% 18.88/3.50 | (273) j(e21) = all_4_46
% 18.88/3.50 |
% 18.88/3.50 | REDUCE: (128), (211) imply:
% 18.88/3.50 | (274) j(e20) = all_4_48
% 18.88/3.50 |
% 18.88/3.50 | GROUND_INST: instantiating (53) with all_4_103, all_4_38, e21, simplifying
% 18.88/3.50 | with (121), (269) gives:
% 18.88/3.50 | (275) all_4_38 = all_4_103
% 18.88/3.50 |
% 18.88/3.50 | GROUND_INST: instantiating (53) with all_4_38, all_4_20, e21, simplifying with
% 18.88/3.50 | (260), (269) gives:
% 18.88/3.50 | (276) all_4_20 = all_4_38
% 18.88/3.50 |
% 18.88/3.50 | GROUND_INST: instantiating (53) with all_4_20, all_4_12, e21, simplifying with
% 18.88/3.50 | (256), (260) gives:
% 18.88/3.50 | (277) all_4_12 = all_4_20
% 18.88/3.50 |
% 18.88/3.50 | GROUND_INST: instantiating (53) with all_4_12, all_4_4, e21, simplifying with
% 18.88/3.50 | (252), (256) gives:
% 18.88/3.50 | (278) all_4_4 = all_4_12
% 18.88/3.50 |
% 18.88/3.50 | GROUND_INST: instantiating (53) with all_4_46, all_4_4, e21, simplifying with
% 18.88/3.50 | (252), (273) gives:
% 18.88/3.50 | (279) all_4_4 = all_4_46
% 18.88/3.50 |
% 18.88/3.50 | GROUND_INST: instantiating (53) with all_4_32, all_4_14, e20, simplifying with
% 18.88/3.50 | (257), (266) gives:
% 18.88/3.50 | (280) all_4_14 = all_4_32
% 18.88/3.50 |
% 18.88/3.50 | GROUND_INST: instantiating (53) with all_4_48, all_4_14, e20, simplifying with
% 18.88/3.50 | (257), (274) gives:
% 18.88/3.50 | (281) all_4_14 = all_4_48
% 18.88/3.50 |
% 18.88/3.50 | GROUND_INST: instantiating (53) with all_4_104, all_4_0, e20, simplifying with
% 18.88/3.50 | (122), (250) gives:
% 18.88/3.50 | (282) all_4_0 = all_4_104
% 18.88/3.50 |
% 18.88/3.50 | GROUND_INST: instantiating (53) with all_4_26, all_4_0, e20, simplifying with
% 18.88/3.50 | (250), (263) gives:
% 18.88/3.50 | (283) all_4_0 = all_4_26
% 18.88/3.50 |
% 18.88/3.50 | GROUND_INST: instantiating (53) with all_4_32, all_4_0, e20, simplifying with
% 18.88/3.50 | (250), (266) gives:
% 18.88/3.50 | (284) all_4_0 = all_4_32
% 18.88/3.50 |
% 18.88/3.50 | GROUND_INST: instantiating (53) with all_4_102, all_4_10, e22, simplifying
% 18.88/3.50 | with (123), (255) gives:
% 18.88/3.50 | (285) all_4_10 = all_4_102
% 18.88/3.50 |
% 18.88/3.50 | GROUND_INST: instantiating (53) with all_4_28, all_4_10, e22, simplifying with
% 18.88/3.50 | (255), (264) gives:
% 18.88/3.50 | (286) all_4_10 = all_4_28
% 18.88/3.50 |
% 18.88/3.50 | GROUND_INST: instantiating (53) with all_4_36, all_4_10, e22, simplifying with
% 18.88/3.50 | (255), (268) gives:
% 18.88/3.50 | (287) all_4_10 = all_4_36
% 18.88/3.50 |
% 18.88/3.50 | GROUND_INST: instantiating (53) with all_4_28, all_4_2, e22, simplifying with
% 18.88/3.50 | (251), (264) gives:
% 18.88/3.50 | (288) all_4_2 = all_4_28
% 18.88/3.50 |
% 18.88/3.50 | GROUND_INST: instantiating (53) with all_4_44, all_4_2, e22, simplifying with
% 18.88/3.50 | (251), (272) gives:
% 18.88/3.50 | (289) all_4_2 = all_4_44
% 18.88/3.50 |
% 18.88/3.50 | GROUND_INST: instantiating (53) with all_4_101, all_4_30, e23, simplifying
% 18.88/3.50 | with (124), (265) gives:
% 18.88/3.50 | (290) all_4_30 = all_4_101
% 18.88/3.50 |
% 18.88/3.50 | GROUND_INST: instantiating (53) with all_4_30, all_4_24, e23, simplifying with
% 18.88/3.50 | (262), (265) gives:
% 18.88/3.50 | (291) all_4_24 = all_4_30
% 18.88/3.50 |
% 18.88/3.50 | GROUND_INST: instantiating (53) with all_4_24, all_4_18, e23, simplifying with
% 18.88/3.50 | (259), (262) gives:
% 18.88/3.50 | (292) all_4_18 = all_4_24
% 18.88/3.50 |
% 18.88/3.50 | GROUND_INST: instantiating (53) with all_4_18, all_4_6, e23, simplifying with
% 18.88/3.50 | (253), (259) gives:
% 18.88/3.50 | (293) all_4_6 = all_4_18
% 18.88/3.50 |
% 18.88/3.51 | GROUND_INST: instantiating (53) with all_4_42, all_4_6, e23, simplifying with
% 18.88/3.51 | (253), (271) gives:
% 18.88/3.51 | (294) all_4_6 = all_4_42
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (53) with all_4_100, all_4_22, e24, simplifying
% 18.88/3.51 | with (125), (261) gives:
% 18.88/3.51 | (295) all_4_22 = all_4_100
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (53) with all_4_34, all_4_22, e24, simplifying with
% 18.88/3.51 | (261), (267) gives:
% 18.88/3.51 | (296) all_4_22 = all_4_34
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (53) with all_4_16, all_4_8, e24, simplifying with
% 18.88/3.51 | (254), (258) gives:
% 18.88/3.51 | (297) all_4_8 = all_4_16
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (53) with all_4_34, all_4_8, e24, simplifying with
% 18.88/3.51 | (254), (267) gives:
% 18.88/3.51 | (298) all_4_8 = all_4_34
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (53) with all_4_40, all_4_8, e24, simplifying with
% 18.88/3.51 | (254), (270) gives:
% 18.88/3.51 | (299) all_4_8 = all_4_40
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (54) with all_4_88, all_4_60, e11, simplifying with
% 18.88/3.51 | (234), (245) gives:
% 18.88/3.51 | (300) all_4_60 = all_4_88
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (54) with all_4_108, all_4_54, e11, simplifying
% 18.88/3.51 | with (153), (232) gives:
% 18.88/3.51 | (301) all_4_54 = all_4_108
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (54) with all_4_60, all_4_54, e11, simplifying with
% 18.88/3.51 | (232), (234) gives:
% 18.88/3.51 | (302) all_4_54 = all_4_60
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (54) with all_4_72, all_4_54, e11, simplifying with
% 18.88/3.51 | (232), (238) gives:
% 18.88/3.51 | (303) all_4_54 = all_4_72
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (54) with all_4_96, all_4_54, e11, simplifying with
% 18.88/3.51 | (232), (248) gives:
% 18.88/3.51 | (304) all_4_54 = all_4_96
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (54) with all_4_82, all_4_76, e10, simplifying with
% 18.88/3.51 | (240), (243) gives:
% 18.88/3.51 | (305) all_4_76 = all_4_82
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (54) with all_4_76, all_4_64, e10, simplifying with
% 18.88/3.51 | (236), (240) gives:
% 18.88/3.51 | (306) all_4_64 = all_4_76
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (54) with all_4_98, all_4_64, e10, simplifying with
% 18.88/3.51 | (236), (249) gives:
% 18.88/3.51 | (307) all_4_64 = all_4_98
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (54) with all_4_109, all_4_50, e10, simplifying
% 18.88/3.51 | with (154), (230) gives:
% 18.88/3.51 | (308) all_4_50 = all_4_109
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (54) with all_4_82, all_4_50, e10, simplifying with
% 18.88/3.51 | (230), (243) gives:
% 18.88/3.51 | (309) all_4_50 = all_4_82
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (54) with all_4_107, all_4_80, e12, simplifying
% 18.88/3.51 | with (155), (242) gives:
% 18.88/3.51 | (310) all_4_80 = all_4_107
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (54) with all_4_80, all_4_78, e12, simplifying with
% 18.88/3.51 | (241), (242) gives:
% 18.88/3.51 | (311) all_4_78 = all_4_80
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (54) with all_4_78, all_4_66, e12, simplifying with
% 18.88/3.51 | (237), (241) gives:
% 18.88/3.51 | (312) all_4_66 = all_4_78
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (54) with all_4_66, all_4_52, e12, simplifying with
% 18.88/3.51 | (231), (237) gives:
% 18.88/3.51 | (313) all_4_52 = all_4_66
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (54) with all_4_94, all_4_52, e12, simplifying with
% 18.88/3.51 | (231), (247) gives:
% 18.88/3.51 | (314) all_4_52 = all_4_94
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (54) with all_4_105, all_4_62, e14, simplifying
% 18.88/3.51 | with (156), (235) gives:
% 18.88/3.51 | (315) all_4_62 = all_4_105
% 18.88/3.51 |
% 18.88/3.51 | GROUND_INST: instantiating (54) with all_4_86, all_4_62, e14, simplifying with
% 18.88/3.51 | (235), (244) gives:
% 19.18/3.51 | (316) all_4_62 = all_4_86
% 19.18/3.51 |
% 19.18/3.51 | GROUND_INST: instantiating (54) with all_4_62, all_4_58, e14, simplifying with
% 19.18/3.51 | (233), (235) gives:
% 19.18/3.51 | (317) all_4_58 = all_4_62
% 19.18/3.51 |
% 19.18/3.51 | GROUND_INST: instantiating (54) with all_4_74, all_4_58, e14, simplifying with
% 19.18/3.51 | (233), (239) gives:
% 19.18/3.51 | (318) all_4_58 = all_4_74
% 19.18/3.51 |
% 19.18/3.51 | GROUND_INST: instantiating (54) with all_4_90, all_4_58, e14, simplifying with
% 19.18/3.51 | (233), (246) gives:
% 19.18/3.51 | (319) all_4_58 = all_4_90
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (283), (284) imply:
% 19.18/3.51 | (320) all_4_26 = all_4_32
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (282), (283) imply:
% 19.18/3.51 | (321) all_4_26 = all_4_104
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (288), (289) imply:
% 19.18/3.51 | (322) all_4_28 = all_4_44
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (322) implies:
% 19.18/3.51 | (323) all_4_28 = all_4_44
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (278), (279) imply:
% 19.18/3.51 | (324) all_4_12 = all_4_46
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (324) implies:
% 19.18/3.51 | (325) all_4_12 = all_4_46
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (293), (294) imply:
% 19.18/3.51 | (326) all_4_18 = all_4_42
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (326) implies:
% 19.18/3.51 | (327) all_4_18 = all_4_42
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (297), (299) imply:
% 19.18/3.51 | (328) all_4_16 = all_4_40
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (297), (298) imply:
% 19.18/3.51 | (329) all_4_16 = all_4_34
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (286), (287) imply:
% 19.18/3.51 | (330) all_4_28 = all_4_36
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (330) implies:
% 19.18/3.51 | (331) all_4_28 = all_4_36
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (285), (287) imply:
% 19.18/3.51 | (332) all_4_36 = all_4_102
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (277), (325) imply:
% 19.18/3.51 | (333) all_4_20 = all_4_46
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (333) implies:
% 19.18/3.51 | (334) all_4_20 = all_4_46
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (280), (281) imply:
% 19.18/3.51 | (335) all_4_32 = all_4_48
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (335) implies:
% 19.18/3.51 | (336) all_4_32 = all_4_48
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (328), (329) imply:
% 19.18/3.51 | (337) all_4_34 = all_4_40
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (337) implies:
% 19.18/3.51 | (338) all_4_34 = all_4_40
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (292), (327) imply:
% 19.18/3.51 | (339) all_4_24 = all_4_42
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (339) implies:
% 19.18/3.51 | (340) all_4_24 = all_4_42
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (276), (334) imply:
% 19.18/3.51 | (341) all_4_38 = all_4_46
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (341) implies:
% 19.18/3.51 | (342) all_4_38 = all_4_46
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (295), (296) imply:
% 19.18/3.51 | (343) all_4_34 = all_4_100
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (343) implies:
% 19.18/3.51 | (344) all_4_34 = all_4_100
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (291), (340) imply:
% 19.18/3.51 | (345) all_4_30 = all_4_42
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (345) implies:
% 19.18/3.51 | (346) all_4_30 = all_4_42
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (320), (321) imply:
% 19.18/3.51 | (347) all_4_32 = all_4_104
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (347) implies:
% 19.18/3.51 | (348) all_4_32 = all_4_104
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (323), (331) imply:
% 19.18/3.51 | (349) all_4_36 = all_4_44
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (349) implies:
% 19.18/3.51 | (350) all_4_36 = all_4_44
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (290), (346) imply:
% 19.18/3.51 | (351) all_4_42 = all_4_101
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (336), (348) imply:
% 19.18/3.51 | (352) all_4_48 = all_4_104
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (338), (344) imply:
% 19.18/3.51 | (353) all_4_40 = all_4_100
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (353) implies:
% 19.18/3.51 | (354) all_4_40 = all_4_100
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (332), (350) imply:
% 19.18/3.51 | (355) all_4_44 = all_4_102
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (275), (342) imply:
% 19.18/3.51 | (356) all_4_46 = all_4_103
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (356) implies:
% 19.18/3.51 | (357) all_4_46 = all_4_103
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (308), (309) imply:
% 19.18/3.51 | (358) all_4_82 = all_4_109
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (358) implies:
% 19.18/3.51 | (359) all_4_82 = all_4_109
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (313), (314) imply:
% 19.18/3.51 | (360) all_4_66 = all_4_94
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (360) implies:
% 19.18/3.51 | (361) all_4_66 = all_4_94
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (302), (303) imply:
% 19.18/3.51 | (362) all_4_60 = all_4_72
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (362) implies:
% 19.18/3.51 | (363) all_4_60 = all_4_72
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (301), (303) imply:
% 19.18/3.51 | (364) all_4_72 = all_4_108
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (303), (304) imply:
% 19.18/3.51 | (365) all_4_72 = all_4_96
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (318), (319) imply:
% 19.18/3.51 | (366) all_4_74 = all_4_90
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (317), (318) imply:
% 19.18/3.51 | (367) all_4_62 = all_4_74
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (367) implies:
% 19.18/3.51 | (368) all_4_62 = all_4_74
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (300), (363) imply:
% 19.18/3.51 | (369) all_4_72 = all_4_88
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (369) implies:
% 19.18/3.51 | (370) all_4_72 = all_4_88
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (316), (368) imply:
% 19.18/3.51 | (371) all_4_74 = all_4_86
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (371) implies:
% 19.18/3.51 | (372) all_4_74 = all_4_86
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (315), (316) imply:
% 19.18/3.51 | (373) all_4_86 = all_4_105
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (306), (307) imply:
% 19.18/3.51 | (374) all_4_76 = all_4_98
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (374) implies:
% 19.18/3.51 | (375) all_4_76 = all_4_98
% 19.18/3.51 |
% 19.18/3.51 | COMBINE_EQS: (312), (361) imply:
% 19.18/3.51 | (376) all_4_78 = all_4_94
% 19.18/3.51 |
% 19.18/3.51 | SIMP: (376) implies:
% 19.18/3.52 | (377) all_4_78 = all_4_94
% 19.18/3.52 |
% 19.18/3.52 | COMBINE_EQS: (364), (370) imply:
% 19.18/3.52 | (378) all_4_88 = all_4_108
% 19.18/3.52 |
% 19.18/3.52 | COMBINE_EQS: (365), (370) imply:
% 19.18/3.52 | (379) all_4_88 = all_4_96
% 19.18/3.52 |
% 19.18/3.52 | COMBINE_EQS: (366), (372) imply:
% 19.18/3.52 | (380) all_4_86 = all_4_90
% 19.18/3.52 |
% 19.18/3.52 | SIMP: (380) implies:
% 19.18/3.52 | (381) all_4_86 = all_4_90
% 19.18/3.52 |
% 19.18/3.52 | COMBINE_EQS: (305), (375) imply:
% 19.18/3.52 | (382) all_4_82 = all_4_98
% 19.18/3.52 |
% 19.18/3.52 | SIMP: (382) implies:
% 19.18/3.52 | (383) all_4_82 = all_4_98
% 19.18/3.52 |
% 19.18/3.52 | COMBINE_EQS: (311), (377) imply:
% 19.18/3.52 | (384) all_4_80 = all_4_94
% 19.18/3.52 |
% 19.18/3.52 | SIMP: (384) implies:
% 19.18/3.52 | (385) all_4_80 = all_4_94
% 19.18/3.52 |
% 19.18/3.52 | COMBINE_EQS: (310), (385) imply:
% 19.18/3.52 | (386) all_4_94 = all_4_107
% 19.18/3.52 |
% 19.18/3.52 | COMBINE_EQS: (359), (383) imply:
% 19.18/3.52 | (387) all_4_98 = all_4_109
% 19.18/3.52 |
% 19.18/3.52 | COMBINE_EQS: (373), (381) imply:
% 19.18/3.52 | (388) all_4_90 = all_4_105
% 19.18/3.52 |
% 19.18/3.52 | COMBINE_EQS: (378), (379) imply:
% 19.18/3.52 | (389) all_4_96 = all_4_108
% 19.18/3.52 |
% 19.18/3.52 | SIMP: (389) implies:
% 19.18/3.52 | (390) all_4_96 = all_4_108
% 19.18/3.52 |
% 19.18/3.52 | COMBINE_EQS: (366), (388) imply:
% 19.18/3.52 | (391) all_4_74 = all_4_105
% 19.18/3.52 |
% 19.18/3.52 | COMBINE_EQS: (323), (355) imply:
% 19.18/3.52 | (392) all_4_28 = all_4_102
% 19.18/3.52 |
% 19.18/3.52 | COMBINE_EQS: (340), (351) imply:
% 19.18/3.52 | (393) all_4_24 = all_4_101
% 19.18/3.52 |
% 19.18/3.52 | COMBINE_EQS: (334), (357) imply:
% 19.18/3.52 | (394) all_4_20 = all_4_103
% 19.18/3.52 |
% 19.18/3.52 | COMBINE_EQS: (327), (351) imply:
% 19.18/3.52 | (395) all_4_18 = all_4_101
% 19.18/3.52 |
% 19.18/3.52 | COMBINE_EQS: (328), (354) imply:
% 19.18/3.52 | (396) all_4_16 = all_4_100
% 19.18/3.52 |
% 19.18/3.52 | COMBINE_EQS: (281), (352) imply:
% 19.18/3.52 | (397) all_4_14 = all_4_104
% 19.18/3.52 |
% 19.18/3.52 | COMBINE_EQS: (325), (357) imply:
% 19.18/3.52 | (398) all_4_12 = all_4_103
% 19.18/3.52 |
% 19.18/3.52 | REDUCE: (120), (308) imply:
% 19.18/3.52 | (399) op2(all_4_105, all_4_105) = all_4_109
% 19.18/3.52 |
% 19.18/3.52 | REDUCE: (119), (301) imply:
% 19.18/3.52 | (400) op2(all_4_105, all_4_107) = all_4_108
% 19.18/3.52 |
% 19.18/3.52 | REDUCE: (118), (391) imply:
% 19.18/3.52 | (401) op2(all_4_107, all_4_107) = all_4_105
% 19.18/3.52 |
% 19.18/3.52 | REDUCE: (117), (310) imply:
% 19.18/3.52 | (402) op2(all_4_108, all_4_105) = all_4_107
% 19.18/3.52 |
% 19.18/3.52 | REDUCE: (116), (373) imply:
% 19.18/3.52 | (403) op2(all_4_108, all_4_108) = all_4_105
% 19.18/3.52 |
% 19.18/3.52 | REDUCE: (115), (387) imply:
% 19.18/3.52 | (404) op2(all_4_109, all_4_109) = all_4_109
% 19.18/3.52 |
% 19.18/3.52 | REDUCE: (89), (285) imply:
% 19.18/3.52 | (405) op1(all_4_101, all_4_100) = all_4_102
% 19.18/3.52 |
% 19.18/3.52 | REDUCE: (88), (398) imply:
% 19.18/3.52 | (406) op1(all_4_101, all_4_101) = all_4_103
% 19.18/3.52 |
% 19.18/3.52 | REDUCE: (87), (397) imply:
% 19.18/3.52 | (407) op1(all_4_101, all_4_102) = all_4_104
% 19.18/3.52 |
% 19.18/3.52 | REDUCE: (86), (396) imply:
% 19.18/3.52 | (408) op1(all_4_101, all_4_103) = all_4_100
% 19.18/3.52 |
% 19.18/3.52 | REDUCE: (85), (395) imply:
% 19.18/3.52 | (409) op1(all_4_101, all_4_104) = all_4_101
% 19.18/3.52 |
% 19.18/3.52 | REDUCE: (84), (394) imply:
% 19.18/3.52 | (410) op1(all_4_102, all_4_100) = all_4_103
% 19.18/3.52 |
% 19.18/3.52 | REDUCE: (83), (295) imply:
% 19.18/3.52 | (411) op1(all_4_102, all_4_101) = all_4_100
% 19.18/3.52 |
% 19.18/3.52 | REDUCE: (82), (393) imply:
% 19.18/3.52 | (412) op1(all_4_102, all_4_102) = all_4_101
% 19.18/3.52 |
% 19.18/3.52 | REDUCE: (81), (392) imply:
% 19.18/3.52 | (413) op1(all_4_102, all_4_104) = all_4_102
% 19.18/3.52 |
% 19.18/3.52 | REDUCE: (80), (348) imply:
% 19.18/3.52 | (414) op1(all_4_103, all_4_101) = all_4_104
% 19.18/3.52 |
% 19.18/3.52 | REDUCE: (79), (332) imply:
% 19.18/3.52 | (415) op1(all_4_103, all_4_103) = all_4_102
% 19.18/3.52 |
% 19.18/3.52 | REDUCE: (78), (352) imply:
% 19.18/3.52 | (416) op1(all_4_104, all_4_104) = all_4_104
% 19.18/3.52 |
% 19.18/3.52 | BETA: splitting (179) gives:
% 19.18/3.52 |
% 19.18/3.52 | Case 1:
% 19.18/3.52 | |
% 19.18/3.52 | | (417) all_4_109 = e24
% 19.18/3.52 | |
% 19.18/3.52 | | REDUCE: (404), (417) imply:
% 19.18/3.52 | | (418) op2(e24, e24) = e24
% 19.18/3.52 | |
% 19.18/3.52 | | GROUND_INST: instantiating (56) with e20, e24, e24, e24, simplifying with
% 19.18/3.52 | | (51), (418) gives:
% 19.18/3.52 | | (419) e24 = e20
% 19.18/3.52 | |
% 19.18/3.52 | | REDUCE: (5), (419) imply:
% 19.18/3.52 | | (420) $false
% 19.18/3.52 | |
% 19.18/3.52 | | CLOSE: (420) is inconsistent.
% 19.18/3.52 | |
% 19.18/3.52 | Case 2:
% 19.18/3.52 | |
% 19.18/3.52 | | (421) all_4_109 = e23 | all_4_109 = e22 | all_4_109 = e20 | all_4_109 =
% 19.18/3.52 | | e21
% 19.18/3.52 | |
% 19.18/3.52 | | BETA: splitting (183) gives:
% 19.18/3.52 | |
% 19.18/3.52 | | Case 1:
% 19.18/3.52 | | |
% 19.18/3.52 | | | (422) all_4_102 = e14
% 19.18/3.52 | | |
% 19.18/3.52 | | | REDUCE: (407), (422) imply:
% 19.18/3.52 | | | (423) op1(all_4_101, e14) = all_4_104
% 19.18/3.52 | | |
% 19.18/3.52 | | | REDUCE: (410), (422) imply:
% 19.18/3.52 | | | (424) op1(e14, all_4_100) = all_4_103
% 19.18/3.52 | | |
% 19.18/3.52 | | | REDUCE: (411), (422) imply:
% 19.18/3.52 | | | (425) op1(e14, all_4_101) = all_4_100
% 19.18/3.52 | | |
% 19.18/3.52 | | | REDUCE: (412), (422) imply:
% 19.18/3.52 | | | (426) op1(e14, e14) = all_4_101
% 19.18/3.52 | | |
% 19.18/3.52 | | | REDUCE: (413), (422) imply:
% 19.18/3.52 | | | (427) op1(e14, all_4_104) = e14
% 19.18/3.52 | | |
% 19.18/3.52 | | | GROUND_INST: instantiating (55) with e10, all_4_101, e14, e14, simplifying
% 19.18/3.52 | | | with (26), (426) gives:
% 19.18/3.52 | | | (428) all_4_101 = e10
% 19.18/3.52 | | |
% 19.18/3.52 | | | REDUCE: (406), (428) imply:
% 19.18/3.52 | | | (429) op1(e10, e10) = all_4_103
% 19.18/3.52 | | |
% 19.18/3.52 | | | REDUCE: (423), (428) imply:
% 19.18/3.52 | | | (430) op1(e10, e14) = all_4_104
% 19.18/3.52 | | |
% 19.18/3.52 | | | REDUCE: (425), (428) imply:
% 19.18/3.52 | | | (431) op1(e14, e10) = all_4_100
% 19.18/3.52 | | |
% 19.18/3.52 | | | GROUND_INST: instantiating (55) with e10, all_4_103, e10, e10, simplifying
% 19.18/3.52 | | | with (12), (429) gives:
% 19.18/3.52 | | | (432) all_4_103 = e10
% 19.18/3.52 | | |
% 19.18/3.52 | | | GROUND_INST: instantiating (55) with e14, all_4_104, e14, e10, simplifying
% 19.18/3.52 | | | with (14), (430) gives:
% 19.18/3.52 | | | (433) all_4_104 = e14
% 19.18/3.52 | | |
% 19.18/3.52 | | | GROUND_INST: instantiating (55) with e14, all_4_100, e10, e14, simplifying
% 19.18/3.52 | | | with (23), (431) gives:
% 19.18/3.52 | | | (434) all_4_100 = e14
% 19.18/3.52 | | |
% 19.18/3.52 | | | REDUCE: (427), (433) imply:
% 19.18/3.52 | | | (435) op1(e14, e14) = e14
% 19.18/3.52 | | |
% 19.18/3.52 | | | GROUND_INST: instantiating (55) with e10, e14, e14, e14, simplifying with
% 19.18/3.52 | | | (26), (435) gives:
% 19.18/3.52 | | | (436) e14 = e10
% 19.18/3.52 | | |
% 19.18/3.52 | | | REDUCE: (1), (436) imply:
% 19.18/3.52 | | | (437) $false
% 19.18/3.52 | | |
% 19.18/3.52 | | | CLOSE: (437) is inconsistent.
% 19.18/3.52 | | |
% 19.18/3.53 | | Case 2:
% 19.18/3.53 | | |
% 19.18/3.53 | | | (438) ~ (all_4_102 = e14)
% 19.18/3.53 | | | (439) all_4_102 = e13 | all_4_102 = e12 | all_4_102 = e10 | all_4_102 =
% 19.18/3.53 | | | e11
% 19.18/3.53 | | |
% 19.18/3.53 | | | BETA: splitting (184) gives:
% 19.18/3.53 | | |
% 19.18/3.53 | | | Case 1:
% 19.18/3.53 | | | |
% 19.18/3.53 | | | | (440) all_4_101 = e14
% 19.18/3.53 | | | |
% 19.18/3.53 | | | | REDUCE: (405), (440) imply:
% 19.18/3.53 | | | | (441) op1(e14, all_4_100) = all_4_102
% 19.18/3.53 | | | |
% 19.18/3.53 | | | | REDUCE: (406), (440) imply:
% 19.18/3.53 | | | | (442) op1(e14, e14) = all_4_103
% 19.18/3.53 | | | |
% 19.18/3.53 | | | | REDUCE: (408), (440) imply:
% 19.18/3.53 | | | | (443) op1(e14, all_4_103) = all_4_100
% 19.18/3.53 | | | |
% 19.18/3.53 | | | | REDUCE: (409), (440) imply:
% 19.18/3.53 | | | | (444) op1(e14, all_4_104) = e14
% 19.18/3.53 | | | |
% 19.18/3.53 | | | | REDUCE: (414), (440) imply:
% 19.18/3.53 | | | | (445) op1(all_4_103, e14) = all_4_104
% 19.18/3.53 | | | |
% 19.18/3.53 | | | | GROUND_INST: instantiating (55) with e10, all_4_103, e14, e14,
% 19.18/3.53 | | | | simplifying with (26), (442) gives:
% 19.18/3.53 | | | | (446) all_4_103 = e10
% 19.18/3.53 | | | |
% 19.18/3.53 | | | | REDUCE: (415), (446) imply:
% 19.18/3.53 | | | | (447) op1(e10, e10) = all_4_102
% 19.18/3.53 | | | |
% 19.18/3.53 | | | | REDUCE: (445), (446) imply:
% 19.18/3.53 | | | | (448) op1(e10, e14) = all_4_104
% 19.18/3.53 | | | |
% 19.18/3.53 | | | | REDUCE: (443), (446) imply:
% 19.18/3.53 | | | | (449) op1(e14, e10) = all_4_100
% 19.18/3.53 | | | |
% 19.18/3.53 | | | | GROUND_INST: instantiating (55) with e10, all_4_102, e10, e10,
% 19.18/3.53 | | | | simplifying with (12), (447) gives:
% 19.18/3.53 | | | | (450) all_4_102 = e10
% 19.18/3.53 | | | |
% 19.18/3.53 | | | | GROUND_INST: instantiating (55) with e14, all_4_104, e14, e10,
% 19.18/3.53 | | | | simplifying with (14), (448) gives:
% 19.18/3.53 | | | | (451) all_4_104 = e14
% 19.18/3.53 | | | |
% 19.18/3.53 | | | | GROUND_INST: instantiating (55) with e14, all_4_100, e10, e14,
% 19.18/3.53 | | | | simplifying with (23), (449) gives:
% 19.18/3.53 | | | | (452) all_4_100 = e14
% 19.18/3.53 | | | |
% 19.18/3.53 | | | | REDUCE: (438), (450) imply:
% 19.18/3.53 | | | | (453) ~ (e14 = e10)
% 19.18/3.53 | | | |
% 19.18/3.53 | | | | REDUCE: (444), (451) imply:
% 19.18/3.53 | | | | (454) op1(e14, e14) = e14
% 19.18/3.53 | | | |
% 19.18/3.53 | | | | REF_CLOSE: (1), (26), (55), (454) are inconsistent by sub-proof #2.
% 19.18/3.53 | | | |
% 19.18/3.53 | | | Case 2:
% 19.18/3.53 | | | |
% 19.18/3.53 | | | | (455) ~ (all_4_101 = e14)
% 19.18/3.53 | | | |
% 19.18/3.53 | | | | BETA: splitting (180) gives:
% 19.18/3.53 | | | |
% 19.18/3.53 | | | | Case 1:
% 19.18/3.53 | | | | |
% 19.18/3.53 | | | | | (456) all_4_108 = e24
% 19.18/3.53 | | | | |
% 19.18/3.53 | | | | | REDUCE: (403), (456) imply:
% 19.18/3.53 | | | | | (457) op2(e24, e24) = all_4_105
% 19.18/3.53 | | | | |
% 19.18/3.53 | | | | | GROUND_INST: instantiating (56) with e20, all_4_105, e24, e24,
% 19.18/3.53 | | | | | simplifying with (51), (457) gives:
% 19.18/3.53 | | | | | (458) all_4_105 = e20
% 19.18/3.53 | | | | |
% 19.18/3.53 | | | | | REDUCE: (127), (458) imply:
% 19.18/3.53 | | | | | (459) j(e20) = e14
% 19.18/3.53 | | | | |
% 19.18/3.53 | | | | | GROUND_INST: instantiating (53) with all_4_104, e14, e20, simplifying
% 19.18/3.53 | | | | | with (122), (459) gives:
% 19.18/3.53 | | | | | (460) all_4_104 = e14
% 19.18/3.53 | | | | |
% 19.18/3.53 | | | | | REDUCE: (416), (460) imply:
% 19.18/3.53 | | | | | (461) op1(e14, e14) = e14
% 19.18/3.53 | | | | |
% 19.18/3.53 | | | | | REF_CLOSE: (1), (26), (55), (461) are inconsistent by sub-proof #2.
% 19.18/3.53 | | | | |
% 19.18/3.53 | | | | Case 2:
% 19.18/3.53 | | | | |
% 19.18/3.53 | | | | | (462) ~ (all_4_108 = e24)
% 19.18/3.53 | | | | | (463) all_4_108 = e23 | all_4_108 = e22 | all_4_108 = e20 |
% 19.18/3.53 | | | | | all_4_108 = e21
% 19.18/3.53 | | | | |
% 19.18/3.53 | | | | | BETA: splitting (181) gives:
% 19.18/3.53 | | | | |
% 19.18/3.53 | | | | | Case 1:
% 19.18/3.53 | | | | | |
% 19.18/3.53 | | | | | | (464) all_4_107 = e24
% 19.18/3.53 | | | | | |
% 19.18/3.53 | | | | | | REDUCE: (400), (464) imply:
% 19.18/3.53 | | | | | | (465) op2(all_4_105, e24) = all_4_108
% 19.18/3.53 | | | | | |
% 19.18/3.53 | | | | | | REDUCE: (401), (464) imply:
% 19.18/3.53 | | | | | | (466) op2(e24, e24) = all_4_105
% 19.18/3.53 | | | | | |
% 19.18/3.53 | | | | | | GROUND_INST: instantiating (56) with e20, all_4_105, e24, e24,
% 19.18/3.53 | | | | | | simplifying with (51), (466) gives:
% 19.18/3.53 | | | | | | (467) all_4_105 = e20
% 19.18/3.53 | | | | | |
% 19.18/3.53 | | | | | | REDUCE: (465), (467) imply:
% 19.18/3.53 | | | | | | (468) op2(e20, e24) = all_4_108
% 19.18/3.53 | | | | | |
% 19.18/3.53 | | | | | | GROUND_INST: instantiating (56) with e24, all_4_108, e24, e20,
% 19.18/3.53 | | | | | | simplifying with (36), (468) gives:
% 19.18/3.53 | | | | | | (469) all_4_108 = e24
% 19.18/3.53 | | | | | |
% 19.18/3.53 | | | | | | REDUCE: (462), (469) imply:
% 19.18/3.53 | | | | | | (470) $false
% 19.18/3.53 | | | | | |
% 19.18/3.53 | | | | | | CLOSE: (470) is inconsistent.
% 19.18/3.53 | | | | | |
% 19.18/3.53 | | | | | Case 2:
% 19.18/3.53 | | | | | |
% 19.18/3.53 | | | | | | (471) ~ (all_4_107 = e24)
% 19.18/3.53 | | | | | |
% 19.18/3.53 | | | | | | BETA: splitting (182) gives:
% 19.18/3.53 | | | | | |
% 19.18/3.53 | | | | | | Case 1:
% 19.18/3.53 | | | | | | |
% 19.18/3.53 | | | | | | | (472) all_4_105 = e24
% 19.18/3.53 | | | | | | |
% 19.18/3.53 | | | | | | | REDUCE: (399), (472) imply:
% 19.18/3.53 | | | | | | | (473) op2(e24, e24) = all_4_109
% 19.18/3.53 | | | | | | |
% 19.18/3.53 | | | | | | | REDUCE: (403), (472) imply:
% 19.18/3.53 | | | | | | | (474) op2(all_4_108, all_4_108) = e24
% 19.18/3.53 | | | | | | |
% 19.18/3.53 | | | | | | | GROUND_INST: instantiating (56) with e20, all_4_109, e24, e24,
% 19.18/3.53 | | | | | | | simplifying with (51), (473) gives:
% 19.18/3.53 | | | | | | | (475) all_4_109 = e20
% 19.18/3.53 | | | | | | |
% 19.18/3.53 | | | | | | | REDUCE: (126), (475) imply:
% 19.18/3.53 | | | | | | | (476) j(e20) = e10
% 19.18/3.53 | | | | | | |
% 19.18/3.53 | | | | | | | GROUND_INST: instantiating (53) with all_4_104, e10, e20,
% 19.18/3.53 | | | | | | | simplifying with (122), (476) gives:
% 19.18/3.53 | | | | | | | (477) all_4_104 = e10
% 19.18/3.53 | | | | | | |
% 19.18/3.53 | | | | | | | BETA: splitting (439) gives:
% 19.18/3.53 | | | | | | |
% 19.18/3.53 | | | | | | | Case 1:
% 19.18/3.53 | | | | | | | |
% 19.18/3.53 | | | | | | | | (478) all_4_102 = e13
% 19.18/3.53 | | | | | | | |
% 19.18/3.53 | | | | | | | | REDUCE: (412), (478) imply:
% 19.18/3.53 | | | | | | | | (479) op1(e13, e13) = all_4_101
% 19.18/3.53 | | | | | | | |
% 19.18/3.53 | | | | | | | | GROUND_INST: instantiating (55) with e14, all_4_101, e13, e13,
% 19.18/3.53 | | | | | | | | simplifying with (21), (479) gives:
% 19.18/3.53 | | | | | | | | (480) all_4_101 = e14
% 19.18/3.53 | | | | | | | |
% 19.18/3.53 | | | | | | | | REDUCE: (455), (480) imply:
% 19.18/3.53 | | | | | | | | (481) $false
% 19.18/3.53 | | | | | | | |
% 19.18/3.53 | | | | | | | | CLOSE: (481) is inconsistent.
% 19.18/3.53 | | | | | | | |
% 19.18/3.53 | | | | | | | Case 2:
% 19.18/3.53 | | | | | | | |
% 19.18/3.53 | | | | | | | | (482) all_4_102 = e12 | all_4_102 = e10 | all_4_102 = e11
% 19.18/3.53 | | | | | | | |
% 19.18/3.53 | | | | | | | | BETA: splitting (463) gives:
% 19.18/3.53 | | | | | | | |
% 19.18/3.53 | | | | | | | | Case 1:
% 19.18/3.53 | | | | | | | | |
% 19.18/3.53 | | | | | | | | | (483) all_4_108 = e23
% 19.18/3.53 | | | | | | | | |
% 19.18/3.53 | | | | | | | | | REDUCE: (474), (483) imply:
% 19.18/3.53 | | | | | | | | | (484) op2(e23, e23) = e24
% 19.18/3.53 | | | | | | | | |
% 19.18/3.53 | | | | | | | | | GROUND_INST: instantiating (56) with e21, e24, e23, e23,
% 19.18/3.53 | | | | | | | | | simplifying with (45), (484) gives:
% 19.18/3.53 | | | | | | | | | (485) e24 = e21
% 19.18/3.53 | | | | | | | | |
% 19.18/3.53 | | | | | | | | | REDUCE: (4), (485) imply:
% 19.18/3.53 | | | | | | | | | (486) $false
% 19.18/3.53 | | | | | | | | |
% 19.18/3.53 | | | | | | | | | CLOSE: (486) is inconsistent.
% 19.18/3.53 | | | | | | | | |
% 19.18/3.53 | | | | | | | | Case 2:
% 19.18/3.53 | | | | | | | | |
% 19.18/3.53 | | | | | | | | | (487) all_4_108 = e22 | all_4_108 = e20 | all_4_108 = e21
% 19.18/3.53 | | | | | | | | |
% 19.18/3.53 | | | | | | | | | BETA: splitting (482) gives:
% 19.18/3.53 | | | | | | | | |
% 19.18/3.53 | | | | | | | | | Case 1:
% 19.18/3.53 | | | | | | | | | |
% 19.18/3.53 | | | | | | | | | | (488) all_4_102 = e12
% 19.18/3.53 | | | | | | | | | |
% 19.18/3.53 | | | | | | | | | | REDUCE: (412), (488) imply:
% 19.18/3.53 | | | | | | | | | | (489) op1(e12, e12) = all_4_101
% 19.18/3.53 | | | | | | | | | |
% 19.18/3.53 | | | | | | | | | | GROUND_INST: instantiating (55) with e14, all_4_101, e12, e12,
% 19.18/3.53 | | | | | | | | | | simplifying with (17), (489) gives:
% 19.18/3.53 | | | | | | | | | | (490) all_4_101 = e14
% 19.18/3.53 | | | | | | | | | |
% 19.18/3.53 | | | | | | | | | | REDUCE: (455), (490) imply:
% 19.18/3.53 | | | | | | | | | | (491) $false
% 19.18/3.53 | | | | | | | | | |
% 19.18/3.53 | | | | | | | | | | CLOSE: (491) is inconsistent.
% 19.18/3.53 | | | | | | | | | |
% 19.18/3.53 | | | | | | | | | Case 2:
% 19.18/3.53 | | | | | | | | | |
% 19.18/3.53 | | | | | | | | | | (492) all_4_102 = e10 | all_4_102 = e11
% 19.18/3.53 | | | | | | | | | |
% 19.18/3.53 | | | | | | | | | | BETA: splitting (487) gives:
% 19.18/3.53 | | | | | | | | | |
% 19.18/3.53 | | | | | | | | | | Case 1:
% 19.18/3.53 | | | | | | | | | | |
% 19.18/3.53 | | | | | | | | | | | (493) all_4_108 = e22
% 19.18/3.53 | | | | | | | | | | |
% 19.18/3.53 | | | | | | | | | | | REDUCE: (474), (493) imply:
% 19.18/3.53 | | | | | | | | | | | (494) op2(e22, e22) = e24
% 19.18/3.53 | | | | | | | | | | |
% 19.18/3.53 | | | | | | | | | | | GROUND_INST: instantiating (56) with e23, e24, e22, e22,
% 19.18/3.53 | | | | | | | | | | | simplifying with (39), (494) gives:
% 19.18/3.53 | | | | | | | | | | | (495) e24 = e23
% 19.18/3.53 | | | | | | | | | | |
% 19.18/3.53 | | | | | | | | | | | REDUCE: (6), (495) imply:
% 19.18/3.53 | | | | | | | | | | | (496) $false
% 19.18/3.53 | | | | | | | | | | |
% 19.18/3.53 | | | | | | | | | | | CLOSE: (496) is inconsistent.
% 19.18/3.53 | | | | | | | | | | |
% 19.18/3.53 | | | | | | | | | | Case 2:
% 19.18/3.53 | | | | | | | | | | |
% 19.18/3.53 | | | | | | | | | | | (497) ~ (all_4_108 = e22)
% 19.18/3.53 | | | | | | | | | | |
% 19.18/3.53 | | | | | | | | | | | REF_CLOSE: (2), (53), (54), (122), (153), (157), (158),
% 19.18/3.53 | | | | | | | | | | | (476), (492), (497) are inconsistent by sub-proof
% 19.18/3.53 | | | | | | | | | | | #1.
% 19.18/3.53 | | | | | | | | | | |
% 19.18/3.53 | | | | | | | | | | End of split
% 19.18/3.53 | | | | | | | | | |
% 19.18/3.53 | | | | | | | | | End of split
% 19.18/3.53 | | | | | | | | |
% 19.18/3.53 | | | | | | | | End of split
% 19.18/3.53 | | | | | | | |
% 19.18/3.53 | | | | | | | End of split
% 19.18/3.53 | | | | | | |
% 19.18/3.53 | | | | | | Case 2:
% 19.18/3.53 | | | | | | |
% 19.18/3.53 | | | | | | | (498) all_4_105 = e23 | all_4_105 = e22 | all_4_105 = e20 |
% 19.18/3.53 | | | | | | | all_4_105 = e21
% 19.18/3.53 | | | | | | |
% 19.18/3.53 | | | | | | | BETA: splitting (421) gives:
% 19.18/3.53 | | | | | | |
% 19.18/3.53 | | | | | | | Case 1:
% 19.18/3.53 | | | | | | | |
% 19.18/3.53 | | | | | | | | (499) all_4_109 = e23
% 19.18/3.53 | | | | | | | |
% 19.18/3.53 | | | | | | | | REDUCE: (404), (499) imply:
% 19.18/3.53 | | | | | | | | (500) op2(e23, e23) = e23
% 19.18/3.53 | | | | | | | |
% 19.18/3.53 | | | | | | | | GROUND_INST: instantiating (56) with e21, e23, e23, e23,
% 19.18/3.53 | | | | | | | | simplifying with (45), (500) gives:
% 19.18/3.53 | | | | | | | | (501) e23 = e21
% 19.18/3.53 | | | | | | | |
% 19.18/3.53 | | | | | | | | REDUCE: (3), (501) imply:
% 19.18/3.53 | | | | | | | | (502) $false
% 19.18/3.53 | | | | | | | |
% 19.18/3.53 | | | | | | | | CLOSE: (502) is inconsistent.
% 19.18/3.53 | | | | | | | |
% 19.18/3.53 | | | | | | | Case 2:
% 19.18/3.53 | | | | | | | |
% 19.18/3.53 | | | | | | | | (503) ~ (all_4_109 = e23)
% 19.18/3.53 | | | | | | | | (504) all_4_109 = e22 | all_4_109 = e20 | all_4_109 = e21
% 19.18/3.53 | | | | | | | |
% 19.18/3.53 | | | | | | | | BETA: splitting (439) gives:
% 19.18/3.53 | | | | | | | |
% 19.18/3.53 | | | | | | | | Case 1:
% 19.18/3.53 | | | | | | | | |
% 19.18/3.53 | | | | | | | | | (505) all_4_102 = e13
% 19.18/3.53 | | | | | | | | |
% 19.18/3.53 | | | | | | | | | REDUCE: (412), (505) imply:
% 19.18/3.53 | | | | | | | | | (506) op1(e13, e13) = all_4_101
% 19.18/3.53 | | | | | | | | |
% 19.18/3.53 | | | | | | | | | GROUND_INST: instantiating (55) with e14, all_4_101, e13, e13,
% 19.18/3.53 | | | | | | | | | simplifying with (21), (506) gives:
% 19.18/3.54 | | | | | | | | | (507) all_4_101 = e14
% 19.18/3.54 | | | | | | | | |
% 19.18/3.54 | | | | | | | | | REDUCE: (455), (507) imply:
% 19.18/3.54 | | | | | | | | | (508) $false
% 19.18/3.54 | | | | | | | | |
% 19.18/3.54 | | | | | | | | | CLOSE: (508) is inconsistent.
% 19.18/3.54 | | | | | | | | |
% 19.18/3.54 | | | | | | | | Case 2:
% 19.18/3.54 | | | | | | | | |
% 19.18/3.54 | | | | | | | | | (509) all_4_102 = e12 | all_4_102 = e10 | all_4_102 = e11
% 19.18/3.54 | | | | | | | | |
% 19.18/3.54 | | | | | | | | | BETA: splitting (463) gives:
% 19.18/3.54 | | | | | | | | |
% 19.18/3.54 | | | | | | | | | Case 1:
% 19.18/3.54 | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | (510) all_4_108 = e23
% 19.18/3.54 | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | REDUCE: (402), (510) imply:
% 19.18/3.54 | | | | | | | | | | (511) op2(e23, all_4_105) = all_4_107
% 19.18/3.54 | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | REDUCE: (403), (510) imply:
% 19.18/3.54 | | | | | | | | | | (512) op2(e23, e23) = all_4_105
% 19.18/3.54 | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | GROUND_INST: instantiating (56) with e21, all_4_105, e23, e23,
% 19.18/3.54 | | | | | | | | | | simplifying with (45), (512) gives:
% 19.18/3.54 | | | | | | | | | | (513) all_4_105 = e21
% 19.18/3.54 | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | REDUCE: (511), (513) imply:
% 19.18/3.54 | | | | | | | | | | (514) op2(e23, e21) = all_4_107
% 19.18/3.54 | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | GROUND_INST: instantiating (56) with e24, all_4_107, e21, e23,
% 19.18/3.54 | | | | | | | | | | simplifying with (42), (514) gives:
% 19.18/3.54 | | | | | | | | | | (515) all_4_107 = e24
% 19.18/3.54 | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | REDUCE: (471), (515) imply:
% 19.18/3.54 | | | | | | | | | | (516) $false
% 19.18/3.54 | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | CLOSE: (516) is inconsistent.
% 19.18/3.54 | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | Case 2:
% 19.18/3.54 | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | (517) all_4_108 = e22 | all_4_108 = e20 | all_4_108 = e21
% 19.18/3.54 | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | BETA: splitting (498) gives:
% 19.18/3.54 | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | Case 1:
% 19.18/3.54 | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | (518) all_4_105 = e23
% 19.18/3.54 | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | REDUCE: (127), (518) imply:
% 19.18/3.54 | | | | | | | | | | | (519) j(e23) = e14
% 19.18/3.54 | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | GROUND_INST: instantiating (53) with all_4_101, e14, e23,
% 19.18/3.54 | | | | | | | | | | | simplifying with (124), (519) gives:
% 19.18/3.54 | | | | | | | | | | | (520) all_4_101 = e14
% 19.18/3.54 | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | REDUCE: (455), (520) imply:
% 19.18/3.54 | | | | | | | | | | | (521) $false
% 19.18/3.54 | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | CLOSE: (521) is inconsistent.
% 19.18/3.54 | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | Case 2:
% 19.18/3.54 | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | (522) ~ (all_4_105 = e23)
% 19.18/3.54 | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | BETA: splitting (504) gives:
% 19.18/3.54 | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | Case 1:
% 19.18/3.54 | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | (523) all_4_109 = e22
% 19.18/3.54 | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | REDUCE: (503), (523) imply:
% 19.18/3.54 | | | | | | | | | | | | (524) ~ (e23 = e22)
% 19.18/3.54 | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | SIMP: (524) implies:
% 19.18/3.54 | | | | | | | | | | | | (525) ~ (e23 = e22)
% 19.18/3.54 | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | REDUCE: (404), (523) imply:
% 19.18/3.54 | | | | | | | | | | | | (526) op2(e22, e22) = e22
% 19.18/3.54 | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | GROUND_INST: instantiating (56) with e23, e22, e22, e22,
% 19.18/3.54 | | | | | | | | | | | | simplifying with (39), (526) gives:
% 19.18/3.54 | | | | | | | | | | | | (527) e23 = e22
% 19.18/3.54 | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | REDUCE: (525), (527) imply:
% 19.18/3.54 | | | | | | | | | | | | (528) $false
% 19.18/3.54 | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | CLOSE: (528) is inconsistent.
% 19.18/3.54 | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | Case 2:
% 19.18/3.54 | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | (529) ~ (all_4_109 = e22)
% 19.18/3.54 | | | | | | | | | | | | (530) all_4_109 = e20 | all_4_109 = e21
% 19.18/3.54 | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | BETA: splitting (509) gives:
% 19.18/3.54 | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | Case 1:
% 19.18/3.54 | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | (531) all_4_102 = e12
% 19.18/3.54 | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | REDUCE: (412), (531) imply:
% 19.18/3.54 | | | | | | | | | | | | | (532) op1(e12, e12) = all_4_101
% 19.18/3.54 | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | GROUND_INST: instantiating (55) with e14, all_4_101, e12, e12,
% 19.18/3.54 | | | | | | | | | | | | | simplifying with (17), (532) gives:
% 19.18/3.54 | | | | | | | | | | | | | (533) all_4_101 = e14
% 19.18/3.54 | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | REDUCE: (455), (533) imply:
% 19.18/3.54 | | | | | | | | | | | | | (534) $false
% 19.18/3.54 | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | CLOSE: (534) is inconsistent.
% 19.18/3.54 | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | Case 2:
% 19.18/3.54 | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | (535) all_4_102 = e10 | all_4_102 = e11
% 19.18/3.54 | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | BETA: splitting (517) gives:
% 19.18/3.54 | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | Case 1:
% 19.18/3.54 | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | | (536) all_4_108 = e22
% 19.18/3.54 | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | | REDUCE: (403), (536) imply:
% 19.18/3.54 | | | | | | | | | | | | | | (537) op2(e22, e22) = all_4_105
% 19.18/3.54 | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e23, all_4_105, e22, e22,
% 19.18/3.54 | | | | | | | | | | | | | | simplifying with (39), (537) gives:
% 19.18/3.54 | | | | | | | | | | | | | | (538) all_4_105 = e23
% 19.18/3.54 | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | | REDUCE: (522), (538) imply:
% 19.18/3.54 | | | | | | | | | | | | | | (539) $false
% 19.18/3.54 | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | | CLOSE: (539) is inconsistent.
% 19.18/3.54 | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | Case 2:
% 19.18/3.54 | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | | (540) ~ (all_4_108 = e22)
% 19.18/3.54 | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | | BETA: splitting (530) gives:
% 19.18/3.54 | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | | Case 1:
% 19.18/3.54 | | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | | | (541) all_4_109 = e20
% 19.18/3.54 | | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | | | REDUCE: (529), (541) imply:
% 19.18/3.54 | | | | | | | | | | | | | | | (542) ~ (e22 = e20)
% 19.18/3.54 | | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | | | REDUCE: (126), (541) imply:
% 19.18/3.54 | | | | | | | | | | | | | | | (543) j(e20) = e10
% 19.18/3.54 | | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | | | REF_CLOSE: (2), (53), (54), (122), (153), (157), (158),
% 19.18/3.54 | | | | | | | | | | | | | | | (535), (540), (543) are inconsistent by sub-proof
% 19.18/3.54 | | | | | | | | | | | | | | | #1.
% 19.18/3.54 | | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | | Case 2:
% 19.18/3.54 | | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | | | (544) all_4_109 = e21
% 19.18/3.54 | | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | | | REDUCE: (529), (544) imply:
% 19.18/3.54 | | | | | | | | | | | | | | | (545) ~ (e22 = e21)
% 19.18/3.54 | | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | | | SIMP: (545) implies:
% 19.18/3.54 | | | | | | | | | | | | | | | (546) ~ (e22 = e21)
% 19.18/3.54 | | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | | | REDUCE: (404), (544) imply:
% 19.18/3.54 | | | | | | | | | | | | | | | (547) op2(e21, e21) = e21
% 19.18/3.54 | | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e22, e21, e21, e21,
% 19.18/3.54 | | | | | | | | | | | | | | | simplifying with (27), (547) gives:
% 19.18/3.54 | | | | | | | | | | | | | | | (548) e22 = e21
% 19.18/3.54 | | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | | | REDUCE: (546), (548) imply:
% 19.18/3.54 | | | | | | | | | | | | | | | (549) $false
% 19.18/3.54 | | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | | | CLOSE: (549) is inconsistent.
% 19.18/3.54 | | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | | End of split
% 19.18/3.54 | | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | | End of split
% 19.18/3.54 | | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | | End of split
% 19.18/3.54 | | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | | End of split
% 19.18/3.54 | | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | | End of split
% 19.18/3.54 | | | | | | | | | |
% 19.18/3.54 | | | | | | | | | End of split
% 19.18/3.54 | | | | | | | | |
% 19.18/3.54 | | | | | | | | End of split
% 19.18/3.54 | | | | | | | |
% 19.18/3.54 | | | | | | | End of split
% 19.18/3.54 | | | | | | |
% 19.18/3.54 | | | | | | End of split
% 19.18/3.54 | | | | | |
% 19.18/3.54 | | | | | End of split
% 19.18/3.54 | | | | |
% 19.18/3.54 | | | | End of split
% 19.18/3.54 | | | |
% 19.18/3.54 | | | End of split
% 19.18/3.54 | | |
% 19.18/3.54 | | End of split
% 19.18/3.54 | |
% 19.18/3.54 | End of split
% 19.18/3.54 |
% 19.18/3.54 End of proof
% 19.18/3.54
% 19.18/3.54 Sub-proof #1 shows that the following formulas are inconsistent:
% 19.18/3.54 ----------------------------------------------------------------
% 19.18/3.54 (1) h(all_4_104) = e20
% 19.18/3.54 (2) ~ (all_4_108 = e22)
% 19.18/3.54 (3) h(all_4_102) = e22
% 19.18/3.54 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) = v1) | ~
% 19.18/3.54 (h(v2) = v0))
% 19.18/3.54 (5) h(e11) = all_4_108
% 19.18/3.54 (6) all_4_102 = e10 | all_4_102 = e11
% 19.18/3.54 (7) ~ (e22 = e20)
% 19.18/3.54 (8) j(e20) = e10
% 19.18/3.54 (9) j(e20) = all_4_104
% 19.18/3.54 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = v1) |
% 19.18/3.54 ~ (j(v2) = v0))
% 19.18/3.54
% 19.18/3.54 Begin of proof
% 19.18/3.54 |
% 19.18/3.54 | GROUND_INST: instantiating (10) with all_4_104, e10, e20, simplifying with
% 19.18/3.54 | (8), (9) gives:
% 19.18/3.54 | (11) all_4_104 = e10
% 19.18/3.54 |
% 19.18/3.54 | REDUCE: (1), (11) imply:
% 19.18/3.54 | (12) h(e10) = e20
% 19.18/3.54 |
% 19.18/3.54 | BETA: splitting (6) gives:
% 19.18/3.54 |
% 19.18/3.54 | Case 1:
% 19.18/3.54 | |
% 19.18/3.54 | | (13) all_4_102 = e10
% 19.18/3.54 | |
% 19.18/3.54 | | REDUCE: (3), (13) imply:
% 19.18/3.54 | | (14) h(e10) = e22
% 19.18/3.54 | |
% 19.18/3.54 | | GROUND_INST: instantiating (4) with e20, e22, e10, simplifying with (12),
% 19.18/3.54 | | (14) gives:
% 19.18/3.54 | | (15) e22 = e20
% 19.18/3.54 | |
% 19.18/3.54 | | REDUCE: (7), (15) imply:
% 19.18/3.54 | | (16) $false
% 19.18/3.54 | |
% 19.18/3.54 | | CLOSE: (16) is inconsistent.
% 19.18/3.54 | |
% 19.18/3.54 | Case 2:
% 19.18/3.54 | |
% 19.18/3.54 | | (17) all_4_102 = e11
% 19.18/3.54 | |
% 19.18/3.54 | | REDUCE: (3), (17) imply:
% 19.18/3.54 | | (18) h(e11) = e22
% 19.18/3.54 | |
% 19.18/3.54 | | GROUND_INST: instantiating (4) with all_4_108, e22, e11, simplifying with
% 19.18/3.54 | | (5), (18) gives:
% 19.18/3.54 | | (19) all_4_108 = e22
% 19.18/3.54 | |
% 19.18/3.54 | | REDUCE: (2), (19) imply:
% 19.18/3.54 | | (20) $false
% 19.18/3.54 | |
% 19.18/3.54 | | CLOSE: (20) is inconsistent.
% 19.18/3.54 | |
% 19.18/3.54 | End of split
% 19.18/3.54 |
% 19.18/3.54 End of proof
% 19.18/3.54
% 19.18/3.54 Sub-proof #2 shows that the following formulas are inconsistent:
% 19.18/3.54 ----------------------------------------------------------------
% 19.18/3.54 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 19.18/3.54 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 19.18/3.54 (2) op1(e14, e14) = e14
% 19.18/3.54 (3) op1(e14, e14) = e10
% 19.18/3.55 (4) ~ (e14 = e10)
% 19.18/3.55
% 19.18/3.55 Begin of proof
% 19.18/3.55 |
% 19.18/3.55 | GROUND_INST: instantiating (1) with e10, e14, e14, e14, simplifying with (2),
% 19.18/3.55 | (3) gives:
% 19.18/3.55 | (5) e14 = e10
% 19.18/3.55 |
% 19.18/3.55 | REDUCE: (4), (5) imply:
% 19.18/3.55 | (6) $false
% 19.18/3.55 |
% 19.18/3.55 | CLOSE: (6) is inconsistent.
% 19.18/3.55 |
% 19.18/3.55 End of proof
% 19.18/3.55 % SZS output end Proof for theBenchmark
% 19.18/3.55
% 19.18/3.55 2916ms
%------------------------------------------------------------------------------