%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GEO177+3 : TPTP v8.1.2. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n020.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 23:21:53 EDT 2023 % Result : Theorem 14.89s 2.67s % Output : Proof 25.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO177+3 : TPTP v8.1.2. Released v4.0.0. % 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n020.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Tue Aug 29 21:14:13 EDT 2023 % 0.13/0.34 % CPUTime : % 0.20/0.61 ________ _____ % 0.20/0.61 ___ __ \_________(_)________________________________ % 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.61 % 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.61 (2023-06-19) % 0.20/0.61 % 0.20/0.61 (c) Philipp Rümmer, 2009-2023 % 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.61 Amanda Stjerna. % 0.20/0.61 Free software under BSD-3-Clause. % 0.20/0.61 % 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.61 % 0.20/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.63 Running up to 7 provers in parallel. % 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.10/1.10 Prover 1: Preprocessing ... % 3.10/1.10 Prover 4: Preprocessing ... % 3.10/1.13 Prover 0: Preprocessing ... % 3.10/1.13 Prover 3: Preprocessing ... % 3.10/1.13 Prover 5: Preprocessing ... % 3.10/1.13 Prover 2: Preprocessing ... % 3.10/1.13 Prover 6: Preprocessing ... % 5.91/1.56 Prover 5: Proving ... % 6.65/1.58 Prover 2: Proving ... % 6.96/1.63 Prover 6: Constructing countermodel ... % 6.96/1.63 Prover 1: Constructing countermodel ... % 6.96/1.65 Prover 3: Constructing countermodel ... % 8.19/1.78 Prover 6: gave up % 8.19/1.78 Prover 3: gave up % 8.19/1.78 Prover 1: gave up % 8.19/1.81 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.19/1.81 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.19/1.81 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 8.19/1.83 Prover 7: Preprocessing ... % 8.19/1.86 Prover 9: Preprocessing ... % 8.19/1.87 Prover 8: Preprocessing ... % 8.87/1.89 Prover 7: Warning: ignoring some quantifiers % 8.87/1.92 Prover 7: Constructing countermodel ... % 9.77/2.01 Prover 4: Constructing countermodel ... % 9.98/2.09 Prover 0: Proving ... % 9.98/2.09 Prover 8: Warning: ignoring some quantifiers % 9.98/2.11 Prover 8: Constructing countermodel ... % 11.27/2.26 Prover 8: gave up % 11.88/2.27 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 12.32/2.33 Prover 10: Preprocessing ... % 12.32/2.34 Prover 9: Constructing countermodel ... % 12.32/2.43 Prover 10: Warning: ignoring some quantifiers % 12.32/2.44 Prover 10: Constructing countermodel ... % 13.93/2.60 Prover 10: gave up % 13.93/2.62 Prover 7: gave up % 14.51/2.62 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 14.51/2.63 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 14.51/2.66 Prover 12: Preprocessing ... % 14.51/2.66 Prover 11: Preprocessing ... % 14.89/2.67 Prover 0: proved (2039ms) % 14.89/2.67 % 14.89/2.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 14.89/2.67 % 14.89/2.67 Prover 9: stopped % 14.89/2.68 Prover 2: stopped % 14.89/2.69 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 14.89/2.69 Prover 5: stopped % 14.89/2.69 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 14.89/2.69 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 14.89/2.70 Prover 13: Preprocessing ... % 14.89/2.71 Prover 16: Preprocessing ... % 14.89/2.73 Prover 19: Preprocessing ... % 15.44/2.76 Prover 16: Warning: ignoring some quantifiers % 15.44/2.77 Prover 13: Warning: ignoring some quantifiers % 15.44/2.77 Prover 16: Constructing countermodel ... % 15.64/2.79 Prover 12: stopped % 15.64/2.79 Prover 13: Constructing countermodel ... % 16.23/2.88 Prover 19: Warning: ignoring some quantifiers % 16.23/2.89 Prover 19: Constructing countermodel ... % 16.23/2.91 Prover 11: Constructing countermodel ... % 17.15/3.04 Prover 13: gave up % 17.72/3.07 Prover 19: gave up % 18.93/3.29 Prover 16: gave up % 23.84/4.14 Prover 4: Found proof (size 625) % 23.84/4.14 Prover 4: proved (3505ms) % 23.84/4.15 Prover 11: stopped % 23.84/4.15 % 23.84/4.15 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 23.84/4.15 % 24.16/4.23 % SZS output start Proof for theBenchmark % 24.16/4.24 Assumptions after simplification: % 24.16/4.24 --------------------------------- % 24.16/4.24 % 24.16/4.24 (ceq2) % 24.40/4.27 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = % 24.40/4.27 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_lines(v1, % 24.40/4.27 v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = % 24.40/4.27 0) & apart_point_and_line(v0, v1) = v5)) & ! [v0: $i] : ! [v1: $i] : % 24.40/4.27 ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0, v2) = v3) | % 24.40/4.27 ~ (apart_point_and_line(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 24.40/4.28 distinct_lines(v1, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 24.40/4.28 [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0, v1) = 0) | ~ % 24.40/4.28 (distinct_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 24.40/4.28 apart_point_and_line(v0, v2) = 0) % 24.40/4.28 % 24.40/4.28 (ci1) % 24.40/4.28 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) | % 24.40/4.28 ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 24.40/4.28 (apart_point_and_line(v0, v2) = v4 & distinct_points(v0, v1) = v3 & ( ~ (v4 % 24.40/4.28 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 24.40/4.28 (distinct_points(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ? % 24.40/4.28 [v3: int] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 & % 24.40/4.28 apart_point_and_line(v0, v2) = v3 & $i(v2))) % 24.40/4.28 % 24.40/4.28 (ci2) % 24.40/4.29 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) | % 24.40/4.29 ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 24.40/4.29 (apart_point_and_line(v1, v2) = v4 & distinct_points(v0, v1) = v3 & ( ~ (v4 % 24.40/4.29 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 24.40/4.29 (distinct_points(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ? % 24.40/4.29 [v3: int] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 & % 24.40/4.29 apart_point_and_line(v1, v2) = v3 & $i(v2))) % 24.40/4.29 % 24.40/4.29 (con) % 24.40/4.29 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 24.40/4.29 any] : ? [v6: any] : ? [v7: $i] : ? [v8: int] : ? [v9: int] : ( ~ (v9 = % 24.40/4.29 0) & ~ (v8 = 0) & line_connecting(v2, v3) = v4 & line_connecting(v0, v1) % 24.40/4.29 = v7 & apart_point_and_line(v3, v7) = v9 & apart_point_and_line(v2, v7) = v8 % 24.40/4.29 & apart_point_and_line(v1, v4) = v6 & apart_point_and_line(v0, v4) = v5 & % 24.40/4.29 distinct_points(v2, v3) = 0 & distinct_points(v0, v1) = 0 & $i(v7) & $i(v4) % 24.40/4.29 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v6 = 0 | v5 = 0)) % 24.40/4.29 % 24.40/4.29 (con1) % 24.40/4.30 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) | % 24.40/4.30 ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: % 24.40/4.30 any] : (point(v1) = v4 & point(v0) = v3 & line(v2) = v6 & % 24.40/4.30 distinct_points(v0, v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | % 24.40/4.30 v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ( ~ (distinct_points(v0, v1) = % 24.40/4.30 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] : % 24.40/4.30 ? [v5: any] : (point(v1) = v3 & point(v0) = v2 & line(v4) = v5 & % 24.40/4.30 line_connecting(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = % 24.40/4.30 0))) % 24.40/4.30 % 24.40/4.30 (cu1) % 24.40/4.32 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: % 24.40/4.32 int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) | ~ % 24.40/4.32 (apart_point_and_line(v1, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~ % 24.40/4.32 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : % 24.40/4.32 ? [v8: any] : (apart_point_and_line(v0, v3) = v8 & apart_point_and_line(v0, % 24.40/4.32 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = % 24.40/4.32 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 24.40/4.32 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = % 24.40/4.32 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ (distinct_lines(v2, v3) % 24.40/4.32 = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? % 24.40/4.32 [v7: any] : ? [v8: any] : (apart_point_and_line(v1, v2) = v8 & % 24.40/4.32 apart_point_and_line(v0, v2) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v6 % 24.40/4.32 = 0) | v8 = 0 | v7 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 24.40/4.32 ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ % 24.40/4.32 (apart_point_and_line(v1, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4) % 24.40/4.32 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: % 24.40/4.32 any] : ? [v8: any] : ? [v9: any] : (apart_point_and_line(v1, v2) = v9 & % 24.40/4.32 apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 & % 24.40/4.32 distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = % 24.40/4.32 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 24.40/4.32 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = % 24.40/4.32 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 24.40/4.32 $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: % 24.40/4.32 any] : (apart_point_and_line(v1, v3) = v9 & apart_point_and_line(v0, v2) = % 24.40/4.32 v8 & distinct_lines(v2, v3) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v7 % 24.40/4.32 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = 0))) & ! [v0: $i] : ! [v1: $i] : % 24.40/4.32 ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ % 24.40/4.32 (apart_point_and_line(v1, v2) = v5) | ~ (apart_point_and_line(v0, v2) = v4) % 24.40/4.32 | ~ (distinct_lines(v2, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 24.40/4.32 $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : % 24.40/4.32 (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v0, v3) = v7 & % 24.40/4.32 distinct_points(v0, v1) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) & ! [v0: % 24.40/4.32 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] % 24.40/4.32 : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v0, v3) = v5) | ~ % 24.40/4.32 (apart_point_and_line(v0, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~ % 24.40/4.32 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : % 24.40/4.32 ? [v8: any] : (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v1, % 24.40/4.32 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = % 24.40/4.32 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 24.40/4.32 (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ~ $i(v3) % 24.40/4.32 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: % 24.40/4.32 any] : ? [v7: any] : (apart_point_and_line(v1, v3) = v7 & % 24.40/4.32 apart_point_and_line(v1, v2) = v6 & apart_point_and_line(v0, v3) = v5 & % 24.40/4.32 apart_point_and_line(v0, v2) = v4 & (v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0))) % 24.40/4.32 % 24.40/4.32 (cup1) % 24.40/4.32 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = % 24.40/4.32 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~ % 24.40/4.32 (apart_point_and_line(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 24.40/4.32 [v5: any] : ? [v6: any] : (convergent_lines(v1, v2) = v6 & % 24.40/4.32 distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0: $i] : ! % 24.40/4.32 [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = 0 | v3 = 0 | ~ % 24.40/4.32 (apart_point_and_line(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = v4) | % 24.40/4.32 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : % 24.40/4.32 (apart_point_and_line(v0, v1) = v6 & distinct_lines(v1, v2) = v5 & ( ~ (v5 = % 24.40/4.32 0) | v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 24.40/4.32 int] : ! [v4: int] : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v1) = % 24.40/4.32 v3) | ~ (convergent_lines(v1, v2) = v4) | ~ $i(v2) | ~ $i(v1) | ~ % 24.40/4.32 $i(v0) | ? [v5: any] : ? [v6: any] : (apart_point_and_line(v0, v2) = v6 & % 24.40/4.32 distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0: $i] : ! % 24.40/4.32 [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0, % 24.40/4.32 v2) = v3) | ~ (distinct_lines(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ % 24.40/4.32 $i(v0) | ? [v4: any] : ? [v5: any] : (apart_point_and_line(v0, v1) = v4 & % 24.40/4.32 convergent_lines(v1, v2) = v5 & (v5 = 0 | v4 = 0))) & ! [v0: $i] : ! % 24.40/4.32 [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0, % 24.40/4.32 v1) = v3) | ~ (distinct_lines(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ % 24.40/4.32 $i(v0) | ? [v4: any] : ? [v5: any] : (apart_point_and_line(v0, v2) = v4 & % 24.40/4.32 convergent_lines(v1, v2) = v5 & (v5 = 0 | v4 = 0))) % 24.40/4.32 % 24.40/4.32 (function-axioms) % 24.40/4.33 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 24.40/4.33 [v3: $i] : (v1 = v0 | ~ (orthogonal_lines(v3, v2) = v1) | ~ % 24.40/4.33 (orthogonal_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 24.40/4.33 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 24.40/4.33 (incident_point_and_line(v3, v2) = v1) | ~ (incident_point_and_line(v3, v2) % 24.40/4.33 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 24.40/4.33 $i] : ! [v3: $i] : (v1 = v0 | ~ (parallel_lines(v3, v2) = v1) | ~ % 24.40/4.33 (parallel_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 24.40/4.33 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 24.40/4.33 (equal_lines(v3, v2) = v1) | ~ (equal_lines(v3, v2) = v0)) & ! [v0: % 24.40/4.33 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 24.40/4.33 : (v1 = v0 | ~ (equal_points(v3, v2) = v1) | ~ (equal_points(v3, v2) = v0)) % 24.40/4.33 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 24.40/4.33 (orthogonal_through_point(v3, v2) = v1) | ~ (orthogonal_through_point(v3, % 24.40/4.33 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 24.40/4.33 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (unorthogonal_lines(v3, v2) = v1) | % 24.40/4.33 ~ (unorthogonal_lines(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 24.40/4.33 $i] : ! [v3: $i] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~ % 24.40/4.33 (parallel_through_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 24.40/4.33 $i] : ! [v3: $i] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~ % 24.40/4.33 (intersection_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 24.40/4.33 : ! [v3: $i] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~ % 24.40/4.33 (line_connecting(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 24.40/4.33 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 24.40/4.33 (apart_point_and_line(v3, v2) = v1) | ~ (apart_point_and_line(v3, v2) = % 24.40/4.33 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 24.40/4.33 $i] : ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ % 24.40/4.33 (convergent_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 24.40/4.33 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 24.40/4.33 (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0)) & ! [v0: % 24.40/4.33 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 24.40/4.33 : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) = % 24.40/4.33 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 24.40/4.33 $i] : (v1 = v0 | ~ (point(v2) = v1) | ~ (point(v2) = v0)) & ! [v0: % 24.40/4.33 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 24.40/4.33 ~ (line(v2) = v1) | ~ (line(v2) = v0)) % 24.40/4.33 % 24.40/4.33 Further assumptions not needed in the proof: % 24.40/4.33 -------------------------------------------- % 24.40/4.33 a3, a4, a5, apart1, apart2, apart3, apart4, apart5, ax1, ax2, ax6, ceq1, ceq3, % 24.40/4.33 ci3, ci4, coipo1, cotno1, couo1, cp1, cp2, int1, oac1, occu1, ooc1, ooc2, orth1, % 24.40/4.33 ouo1, p1, par1 % 24.40/4.33 % 24.40/4.33 Those formulas are unsatisfiable: % 24.40/4.33 --------------------------------- % 24.40/4.33 % 24.40/4.33 Begin of proof % 24.40/4.33 | % 24.40/4.33 | ALPHA: (ci1) implies: % 24.40/4.34 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (distinct_points(v0, v1) = 0) | ~ % 24.40/4.34 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) & % 24.40/4.34 | line_connecting(v0, v1) = v2 & apart_point_and_line(v0, v2) = v3 & % 24.40/4.34 | $i(v2))) % 24.40/4.34 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) % 24.40/4.34 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 24.40/4.34 | (apart_point_and_line(v0, v2) = v4 & distinct_points(v0, v1) = v3 & ( % 24.40/4.34 | ~ (v4 = 0) | ~ (v3 = 0)))) % 24.40/4.34 | % 24.40/4.34 | ALPHA: (ci2) implies: % 24.40/4.34 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (distinct_points(v0, v1) = 0) | ~ % 24.40/4.34 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) & % 24.40/4.34 | line_connecting(v0, v1) = v2 & apart_point_and_line(v1, v2) = v3 & % 24.40/4.34 | $i(v2))) % 24.40/4.34 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) % 24.40/4.34 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 24.40/4.34 | (apart_point_and_line(v1, v2) = v4 & distinct_points(v0, v1) = v3 & ( % 24.40/4.34 | ~ (v4 = 0) | ~ (v3 = 0)))) % 24.40/4.34 | % 24.40/4.34 | ALPHA: (cu1) implies: % 24.40/4.34 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 24.40/4.34 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v0, v3) = v5) % 24.40/4.34 | | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_points(v0, % 24.40/4.34 | v1) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 24.40/4.34 | [v6: any] : ? [v7: any] : ? [v8: any] : (apart_point_and_line(v1, % 24.40/4.34 | v3) = v8 & apart_point_and_line(v1, v2) = v7 & distinct_lines(v2, % 24.40/4.34 | v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) % 24.40/4.34 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 24.40/4.34 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = v5) % 24.40/4.34 | | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 24.40/4.34 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? % 24.40/4.34 | [v9: any] : (apart_point_and_line(v1, v3) = v9 & % 24.40/4.34 | apart_point_and_line(v0, v2) = v8 & distinct_lines(v2, v3) = v7 & % 24.40/4.34 | distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 % 24.40/4.34 | | v8 = 0))) % 24.40/4.35 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 24.40/4.35 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) % 24.40/4.35 | | ~ (apart_point_and_line(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 24.40/4.35 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? % 24.40/4.35 | [v9: any] : (apart_point_and_line(v1, v2) = v9 & % 24.40/4.35 | apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 & % 24.40/4.35 | distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 % 24.40/4.35 | | v8 = 0))) % 24.40/4.35 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 24.40/4.35 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) % 24.40/4.35 | | ~ (apart_point_and_line(v1, v2) = v4) | ~ (distinct_points(v0, % 24.40/4.35 | v1) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 24.40/4.35 | [v6: any] : ? [v7: any] : ? [v8: any] : (apart_point_and_line(v0, % 24.40/4.35 | v3) = v8 & apart_point_and_line(v0, v2) = v7 & distinct_lines(v2, % 24.40/4.35 | v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) % 24.40/4.35 | % 24.40/4.35 | ALPHA: (ceq2) implies: % 24.40/4.35 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 24.40/4.35 | (apart_point_and_line(v0, v1) = 0) | ~ (distinct_lines(v1, v2) = v3) % 24.40/4.35 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | apart_point_and_line(v0, v2) = % 24.40/4.35 | 0) % 24.40/4.35 | % 24.40/4.35 | ALPHA: (cup1) implies: % 24.40/4.35 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] % 24.40/4.35 | : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~ % 24.40/4.35 | (apart_point_and_line(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 24.40/4.35 | $i(v0) | ? [v5: any] : ? [v6: any] : (convergent_lines(v1, v2) = % 24.40/4.35 | v6 & distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) % 24.40/4.35 | % 24.40/4.35 | ALPHA: (con1) implies: % 24.40/4.35 | (11) ! [v0: $i] : ! [v1: $i] : ( ~ (distinct_points(v0, v1) = 0) | ~ % 24.40/4.35 | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] : ? % 24.40/4.35 | [v5: any] : (point(v1) = v3 & point(v0) = v2 & line(v4) = v5 & % 24.40/4.35 | line_connecting(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) % 24.40/4.35 | | v5 = 0))) % 24.40/4.35 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) % 24.40/4.35 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? % 24.40/4.35 | [v5: any] : ? [v6: any] : (point(v1) = v4 & point(v0) = v3 & % 24.40/4.35 | line(v2) = v6 & distinct_points(v0, v1) = v5 & ( ~ (v5 = 0) | ~ % 24.40/4.35 | (v4 = 0) | ~ (v3 = 0) | v6 = 0))) % 24.40/4.35 | % 24.40/4.35 | ALPHA: (function-axioms) implies: % 24.40/4.35 | (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 24.40/4.35 | : ! [v3: $i] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ % 24.40/4.35 | (distinct_points(v3, v2) = v0)) % 24.40/4.35 | (14) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 24.40/4.35 | : ! [v3: $i] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ % 24.40/4.35 | (distinct_lines(v3, v2) = v0)) % 24.40/4.36 | (15) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 24.40/4.36 | : ! [v3: $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ % 24.40/4.36 | (apart_point_and_line(v3, v2) = v0)) % 24.40/4.36 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 24.40/4.36 | (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0)) % 24.40/4.36 | % 24.40/4.36 | DELTA: instantiating (con) with fresh symbols all_38_0, all_38_1, all_38_2, % 24.40/4.36 | all_38_3, all_38_4, all_38_5, all_38_6, all_38_7, all_38_8, all_38_9 % 24.40/4.36 | gives: % 24.40/4.36 | (17) ~ (all_38_0 = 0) & ~ (all_38_1 = 0) & line_connecting(all_38_7, % 24.40/4.36 | all_38_6) = all_38_5 & line_connecting(all_38_9, all_38_8) = % 24.40/4.36 | all_38_2 & apart_point_and_line(all_38_6, all_38_2) = all_38_0 & % 24.40/4.36 | apart_point_and_line(all_38_7, all_38_2) = all_38_1 & % 24.40/4.36 | apart_point_and_line(all_38_8, all_38_5) = all_38_3 & % 24.40/4.36 | apart_point_and_line(all_38_9, all_38_5) = all_38_4 & % 24.40/4.36 | distinct_points(all_38_7, all_38_6) = 0 & distinct_points(all_38_9, % 24.40/4.36 | all_38_8) = 0 & $i(all_38_2) & $i(all_38_5) & $i(all_38_6) & % 24.40/4.36 | $i(all_38_7) & $i(all_38_8) & $i(all_38_9) & (all_38_3 = 0 | all_38_4 % 24.40/4.36 | = 0) % 24.40/4.36 | % 24.40/4.36 | ALPHA: (17) implies: % 24.40/4.36 | (18) ~ (all_38_1 = 0) % 24.40/4.36 | (19) ~ (all_38_0 = 0) % 24.40/4.36 | (20) $i(all_38_9) % 24.40/4.36 | (21) $i(all_38_8) % 24.40/4.36 | (22) $i(all_38_7) % 24.40/4.36 | (23) $i(all_38_6) % 24.40/4.36 | (24) $i(all_38_5) % 24.40/4.36 | (25) $i(all_38_2) % 24.40/4.36 | (26) distinct_points(all_38_9, all_38_8) = 0 % 24.40/4.36 | (27) distinct_points(all_38_7, all_38_6) = 0 % 24.40/4.36 | (28) apart_point_and_line(all_38_9, all_38_5) = all_38_4 % 24.40/4.36 | (29) apart_point_and_line(all_38_8, all_38_5) = all_38_3 % 24.40/4.36 | (30) apart_point_and_line(all_38_7, all_38_2) = all_38_1 % 24.40/4.36 | (31) apart_point_and_line(all_38_6, all_38_2) = all_38_0 % 24.40/4.36 | (32) line_connecting(all_38_9, all_38_8) = all_38_2 % 24.40/4.36 | (33) line_connecting(all_38_7, all_38_6) = all_38_5 % 24.40/4.36 | (34) all_38_3 = 0 | all_38_4 = 0 % 24.40/4.36 | % 24.40/4.36 | GROUND_INST: instantiating (11) with all_38_9, all_38_8, simplifying with % 24.40/4.36 | (20), (21), (26) gives: % 24.40/4.36 | (35) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : % 24.40/4.36 | (point(all_38_8) = v1 & point(all_38_9) = v0 & line(v2) = v3 & % 24.40/4.36 | line_connecting(all_38_9, all_38_8) = v2 & $i(v2) & ( ~ (v1 = 0) | % 24.40/4.36 | ~ (v0 = 0) | v3 = 0)) % 24.40/4.36 | % 24.40/4.36 | GROUND_INST: instantiating (3) with all_38_9, all_38_8, simplifying with (20), % 24.40/4.36 | (21), (26) gives: % 24.40/4.36 | (36) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_9, % 24.40/4.36 | all_38_8) = v0 & apart_point_and_line(all_38_8, v0) = v1 & $i(v0)) % 24.40/4.36 | % 24.40/4.36 | GROUND_INST: instantiating (1) with all_38_9, all_38_8, simplifying with (20), % 24.40/4.36 | (21), (26) gives: % 24.40/4.36 | (37) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_9, % 24.40/4.36 | all_38_8) = v0 & apart_point_and_line(all_38_9, v0) = v1 & $i(v0)) % 24.40/4.36 | % 24.40/4.36 | GROUND_INST: instantiating (11) with all_38_7, all_38_6, simplifying with % 24.40/4.36 | (22), (23), (27) gives: % 24.40/4.37 | (38) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : % 24.40/4.37 | (point(all_38_6) = v1 & point(all_38_7) = v0 & line(v2) = v3 & % 24.40/4.37 | line_connecting(all_38_7, all_38_6) = v2 & $i(v2) & ( ~ (v1 = 0) | % 24.40/4.37 | ~ (v0 = 0) | v3 = 0)) % 24.40/4.37 | % 24.40/4.37 | GROUND_INST: instantiating (3) with all_38_7, all_38_6, simplifying with (22), % 24.40/4.37 | (23), (27) gives: % 24.40/4.37 | (39) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_7, % 24.40/4.37 | all_38_6) = v0 & apart_point_and_line(all_38_6, v0) = v1 & $i(v0)) % 24.40/4.37 | % 24.40/4.37 | GROUND_INST: instantiating (1) with all_38_7, all_38_6, simplifying with (22), % 24.40/4.37 | (23), (27) gives: % 24.40/4.37 | (40) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_7, % 24.40/4.37 | all_38_6) = v0 & apart_point_and_line(all_38_7, v0) = v1 & $i(v0)) % 24.40/4.37 | % 24.40/4.37 | GROUND_INST: instantiating (5) with all_38_7, all_38_6, all_38_2, all_38_2, % 24.40/4.37 | all_38_1, all_38_1, simplifying with (22), (23), (25), (27), (30) % 24.40/4.37 | gives: % 24.40/4.37 | (41) all_38_1 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 24.40/4.37 | (apart_point_and_line(all_38_6, all_38_2) = v2 & % 24.40/4.37 | apart_point_and_line(all_38_6, all_38_2) = v1 & % 24.40/4.37 | distinct_lines(all_38_2, all_38_2) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 % 24.40/4.37 | = 0)) % 24.40/4.37 | % 24.40/4.37 | GROUND_INST: instantiating (7) with all_38_7, all_38_7, all_38_2, all_38_2, % 24.40/4.37 | all_38_1, all_38_1, simplifying with (22), (25), (30) gives: % 24.40/4.37 | (42) all_38_1 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 24.40/4.37 | any] : (apart_point_and_line(all_38_7, all_38_2) = v3 & % 24.40/4.37 | apart_point_and_line(all_38_7, all_38_2) = v2 & % 24.40/4.37 | distinct_lines(all_38_2, all_38_2) = v1 & distinct_points(all_38_7, % 24.40/4.37 | all_38_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 24.40/4.37 | % 24.40/4.37 | GROUND_INST: instantiating (6) with all_38_7, all_38_8, all_38_5, all_38_2, % 24.40/4.37 | all_38_1, all_38_3, simplifying with (21), (22), (24), (25), % 24.40/4.37 | (29), (30) gives: % 24.40/4.37 | (43) all_38_1 = 0 | all_38_3 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 24.40/4.37 | any] : ? [v3: any] : (apart_point_and_line(all_38_7, all_38_5) = v2 % 24.40/4.37 | & apart_point_and_line(all_38_8, all_38_2) = v3 & % 24.40/4.37 | distinct_lines(all_38_5, all_38_2) = v1 & distinct_points(all_38_7, % 24.40/4.37 | all_38_8) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 24.40/4.37 | % 24.40/4.37 | GROUND_INST: instantiating (8) with all_38_7, all_38_6, all_38_2, all_38_2, % 24.40/4.37 | all_38_0, all_38_0, simplifying with (22), (23), (25), (27), (31) % 24.40/4.37 | gives: % 24.40/4.38 | (44) all_38_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 24.40/4.38 | (apart_point_and_line(all_38_7, all_38_2) = v2 & % 24.40/4.38 | apart_point_and_line(all_38_7, all_38_2) = v1 & % 24.40/4.38 | distinct_lines(all_38_2, all_38_2) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 % 24.40/4.38 | = 0)) % 24.40/4.38 | % 24.40/4.38 | GROUND_INST: instantiating (7) with all_38_6, all_38_6, all_38_2, all_38_2, % 24.40/4.38 | all_38_0, all_38_0, simplifying with (23), (25), (31) gives: % 24.40/4.38 | (45) all_38_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 24.40/4.38 | any] : (apart_point_and_line(all_38_6, all_38_2) = v3 & % 24.40/4.38 | apart_point_and_line(all_38_6, all_38_2) = v2 & % 24.40/4.38 | distinct_lines(all_38_2, all_38_2) = v1 & distinct_points(all_38_6, % 24.40/4.38 | all_38_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 24.40/4.38 | % 24.40/4.38 | GROUND_INST: instantiating (7) with all_38_6, all_38_7, all_38_2, all_38_2, % 24.40/4.38 | all_38_0, all_38_1, simplifying with (22), (23), (25), (30), (31) % 24.40/4.38 | gives: % 24.40/4.38 | (46) all_38_0 = 0 | all_38_1 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 24.40/4.38 | any] : ? [v3: any] : (apart_point_and_line(all_38_6, all_38_2) = v2 % 24.40/4.38 | & apart_point_and_line(all_38_7, all_38_2) = v3 & % 24.40/4.38 | distinct_lines(all_38_2, all_38_2) = v1 & distinct_points(all_38_6, % 24.40/4.38 | all_38_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 24.40/4.38 | % 24.40/4.38 | GROUND_INST: instantiating (4) with all_38_9, all_38_8, all_38_2, simplifying % 24.40/4.38 | with (20), (21), (32) gives: % 24.40/4.38 | (47) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_8, % 24.40/4.38 | all_38_2) = v1 & distinct_points(all_38_9, all_38_8) = v0 & ( ~ % 24.40/4.38 | (v1 = 0) | ~ (v0 = 0))) % 24.40/4.38 | % 24.40/4.38 | GROUND_INST: instantiating (2) with all_38_9, all_38_8, all_38_2, simplifying % 24.40/4.38 | with (20), (21), (32) gives: % 24.40/4.38 | (48) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_9, % 24.40/4.38 | all_38_2) = v1 & distinct_points(all_38_9, all_38_8) = v0 & ( ~ % 24.40/4.38 | (v1 = 0) | ~ (v0 = 0))) % 24.40/4.38 | % 24.40/4.38 | GROUND_INST: instantiating (12) with all_38_7, all_38_6, all_38_5, simplifying % 24.40/4.38 | with (22), (23), (33) gives: % 24.40/4.38 | (49) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 24.40/4.38 | (point(all_38_6) = v1 & point(all_38_7) = v0 & line(all_38_5) = v3 & % 24.40/4.38 | distinct_points(all_38_7, all_38_6) = v2 & ( ~ (v2 = 0) | ~ (v1 = % 24.40/4.38 | 0) | ~ (v0 = 0) | v3 = 0)) % 24.40/4.38 | % 24.40/4.38 | GROUND_INST: instantiating (4) with all_38_7, all_38_6, all_38_5, simplifying % 24.40/4.38 | with (22), (23), (33) gives: % 24.40/4.38 | (50) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_6, % 24.40/4.38 | all_38_5) = v1 & distinct_points(all_38_7, all_38_6) = v0 & ( ~ % 24.40/4.38 | (v1 = 0) | ~ (v0 = 0))) % 24.40/4.38 | % 24.40/4.38 | GROUND_INST: instantiating (2) with all_38_7, all_38_6, all_38_5, simplifying % 24.40/4.38 | with (22), (23), (33) gives: % 24.40/4.38 | (51) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_7, % 24.40/4.38 | all_38_5) = v1 & distinct_points(all_38_7, all_38_6) = v0 & ( ~ % 24.40/4.38 | (v1 = 0) | ~ (v0 = 0))) % 24.40/4.38 | % 24.40/4.38 | DELTA: instantiating (51) with fresh symbols all_49_0, all_49_1 gives: % 24.40/4.38 | (52) apart_point_and_line(all_38_7, all_38_5) = all_49_0 & % 24.40/4.38 | distinct_points(all_38_7, all_38_6) = all_49_1 & ( ~ (all_49_0 = 0) | % 24.40/4.39 | ~ (all_49_1 = 0)) % 24.40/4.39 | % 24.40/4.39 | ALPHA: (52) implies: % 24.40/4.39 | (53) distinct_points(all_38_7, all_38_6) = all_49_1 % 24.40/4.39 | (54) apart_point_and_line(all_38_7, all_38_5) = all_49_0 % 24.40/4.39 | % 24.40/4.39 | DELTA: instantiating (48) with fresh symbols all_51_0, all_51_1 gives: % 24.40/4.39 | (55) apart_point_and_line(all_38_9, all_38_2) = all_51_0 & % 24.40/4.39 | distinct_points(all_38_9, all_38_8) = all_51_1 & ( ~ (all_51_0 = 0) | % 24.40/4.39 | ~ (all_51_1 = 0)) % 24.40/4.39 | % 24.40/4.39 | ALPHA: (55) implies: % 24.40/4.39 | (56) apart_point_and_line(all_38_9, all_38_2) = all_51_0 % 24.40/4.39 | % 24.40/4.39 | DELTA: instantiating (47) with fresh symbols all_53_0, all_53_1 gives: % 24.40/4.39 | (57) apart_point_and_line(all_38_8, all_38_2) = all_53_0 & % 24.40/4.39 | distinct_points(all_38_9, all_38_8) = all_53_1 & ( ~ (all_53_0 = 0) | % 24.40/4.39 | ~ (all_53_1 = 0)) % 24.40/4.39 | % 24.40/4.39 | ALPHA: (57) implies: % 24.40/4.39 | (58) apart_point_and_line(all_38_8, all_38_2) = all_53_0 % 24.40/4.39 | % 24.40/4.39 | DELTA: instantiating (40) with fresh symbols all_55_0, all_55_1 gives: % 24.40/4.39 | (59) ~ (all_55_0 = 0) & line_connecting(all_38_7, all_38_6) = all_55_1 & % 24.40/4.39 | apart_point_and_line(all_38_7, all_55_1) = all_55_0 & $i(all_55_1) % 24.40/4.39 | % 24.40/4.39 | ALPHA: (59) implies: % 24.40/4.39 | (60) ~ (all_55_0 = 0) % 24.40/4.39 | (61) $i(all_55_1) % 24.40/4.39 | (62) apart_point_and_line(all_38_7, all_55_1) = all_55_0 % 24.40/4.39 | (63) line_connecting(all_38_7, all_38_6) = all_55_1 % 24.40/4.39 | % 24.40/4.39 | DELTA: instantiating (39) with fresh symbols all_57_0, all_57_1 gives: % 24.40/4.39 | (64) ~ (all_57_0 = 0) & line_connecting(all_38_7, all_38_6) = all_57_1 & % 24.40/4.39 | apart_point_and_line(all_38_6, all_57_1) = all_57_0 & $i(all_57_1) % 24.40/4.39 | % 24.40/4.39 | ALPHA: (64) implies: % 24.40/4.39 | (65) apart_point_and_line(all_38_6, all_57_1) = all_57_0 % 24.40/4.39 | (66) line_connecting(all_38_7, all_38_6) = all_57_1 % 24.40/4.39 | % 24.40/4.39 | DELTA: instantiating (50) with fresh symbols all_59_0, all_59_1 gives: % 24.40/4.39 | (67) apart_point_and_line(all_38_6, all_38_5) = all_59_0 & % 24.40/4.39 | distinct_points(all_38_7, all_38_6) = all_59_1 & ( ~ (all_59_0 = 0) | % 24.40/4.39 | ~ (all_59_1 = 0)) % 24.40/4.39 | % 24.40/4.39 | ALPHA: (67) implies: % 24.40/4.39 | (68) distinct_points(all_38_7, all_38_6) = all_59_1 % 24.40/4.39 | (69) apart_point_and_line(all_38_6, all_38_5) = all_59_0 % 24.40/4.39 | (70) ~ (all_59_0 = 0) | ~ (all_59_1 = 0) % 24.40/4.39 | % 24.40/4.39 | DELTA: instantiating (37) with fresh symbols all_61_0, all_61_1 gives: % 24.40/4.39 | (71) ~ (all_61_0 = 0) & line_connecting(all_38_9, all_38_8) = all_61_1 & % 24.40/4.39 | apart_point_and_line(all_38_9, all_61_1) = all_61_0 & $i(all_61_1) % 24.40/4.39 | % 24.40/4.39 | ALPHA: (71) implies: % 24.40/4.39 | (72) ~ (all_61_0 = 0) % 24.40/4.39 | (73) $i(all_61_1) % 24.40/4.39 | (74) apart_point_and_line(all_38_9, all_61_1) = all_61_0 % 24.40/4.39 | (75) line_connecting(all_38_9, all_38_8) = all_61_1 % 24.40/4.39 | % 24.40/4.39 | DELTA: instantiating (36) with fresh symbols all_63_0, all_63_1 gives: % 24.40/4.39 | (76) ~ (all_63_0 = 0) & line_connecting(all_38_9, all_38_8) = all_63_1 & % 24.40/4.39 | apart_point_and_line(all_38_8, all_63_1) = all_63_0 & $i(all_63_1) % 24.40/4.39 | % 24.40/4.39 | ALPHA: (76) implies: % 24.40/4.39 | (77) ~ (all_63_0 = 0) % 24.40/4.39 | (78) apart_point_and_line(all_38_8, all_63_1) = all_63_0 % 24.40/4.39 | (79) line_connecting(all_38_9, all_38_8) = all_63_1 % 24.40/4.39 | % 24.40/4.39 | DELTA: instantiating (35) with fresh symbols all_65_0, all_65_1, all_65_2, % 24.40/4.39 | all_65_3 gives: % 24.40/4.39 | (80) point(all_38_8) = all_65_2 & point(all_38_9) = all_65_3 & % 24.40/4.39 | line(all_65_1) = all_65_0 & line_connecting(all_38_9, all_38_8) = % 24.40/4.39 | all_65_1 & $i(all_65_1) & ( ~ (all_65_2 = 0) | ~ (all_65_3 = 0) | % 24.40/4.39 | all_65_0 = 0) % 24.40/4.39 | % 24.40/4.39 | ALPHA: (80) implies: % 24.40/4.39 | (81) line_connecting(all_38_9, all_38_8) = all_65_1 % 24.40/4.39 | % 24.40/4.39 | DELTA: instantiating (38) with fresh symbols all_67_0, all_67_1, all_67_2, % 24.40/4.39 | all_67_3 gives: % 24.40/4.39 | (82) point(all_38_6) = all_67_2 & point(all_38_7) = all_67_3 & % 24.40/4.39 | line(all_67_1) = all_67_0 & line_connecting(all_38_7, all_38_6) = % 24.40/4.39 | all_67_1 & $i(all_67_1) & ( ~ (all_67_2 = 0) | ~ (all_67_3 = 0) | % 24.40/4.39 | all_67_0 = 0) % 24.40/4.39 | % 24.40/4.39 | ALPHA: (82) implies: % 24.40/4.39 | (83) line_connecting(all_38_7, all_38_6) = all_67_1 % 24.40/4.39 | % 24.40/4.39 | DELTA: instantiating (49) with fresh symbols all_71_0, all_71_1, all_71_2, % 24.40/4.39 | all_71_3 gives: % 24.40/4.39 | (84) point(all_38_6) = all_71_2 & point(all_38_7) = all_71_3 & % 24.40/4.39 | line(all_38_5) = all_71_0 & distinct_points(all_38_7, all_38_6) = % 24.40/4.39 | all_71_1 & ( ~ (all_71_1 = 0) | ~ (all_71_2 = 0) | ~ (all_71_3 = 0) % 24.40/4.39 | | all_71_0 = 0) % 24.40/4.39 | % 24.40/4.39 | ALPHA: (84) implies: % 24.40/4.39 | (85) distinct_points(all_38_7, all_38_6) = all_71_1 % 24.40/4.39 | % 24.40/4.39 | BETA: splitting (44) gives: % 24.40/4.39 | % 24.40/4.40 | Case 1: % 24.40/4.40 | | % 24.40/4.40 | | (86) all_38_0 = 0 % 24.40/4.40 | | % 24.40/4.40 | | REDUCE: (19), (86) imply: % 24.40/4.40 | | (87) $false % 24.40/4.40 | | % 24.40/4.40 | | CLOSE: (87) is inconsistent. % 24.40/4.40 | | % 24.40/4.40 | Case 2: % 24.40/4.40 | | % 24.40/4.40 | | (88) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 24.40/4.40 | | (apart_point_and_line(all_38_7, all_38_2) = v2 & % 24.40/4.40 | | apart_point_and_line(all_38_7, all_38_2) = v1 & % 24.40/4.40 | | distinct_lines(all_38_2, all_38_2) = v0 & ( ~ (v0 = 0) | v2 = 0 | % 24.40/4.40 | | v1 = 0)) % 24.40/4.40 | | % 24.40/4.40 | | DELTA: instantiating (88) with fresh symbols all_85_0, all_85_1, all_85_2 % 24.40/4.40 | | gives: % 24.40/4.40 | | (89) apart_point_and_line(all_38_7, all_38_2) = all_85_0 & % 24.40/4.40 | | apart_point_and_line(all_38_7, all_38_2) = all_85_1 & % 24.40/4.40 | | distinct_lines(all_38_2, all_38_2) = all_85_2 & ( ~ (all_85_2 = 0) | % 24.40/4.40 | | all_85_0 = 0 | all_85_1 = 0) % 24.40/4.40 | | % 24.40/4.40 | | ALPHA: (89) implies: % 24.40/4.40 | | (90) apart_point_and_line(all_38_7, all_38_2) = all_85_1 % 24.40/4.40 | | (91) apart_point_and_line(all_38_7, all_38_2) = all_85_0 % 24.40/4.40 | | % 24.40/4.40 | | BETA: splitting (41) gives: % 24.40/4.40 | | % 24.40/4.40 | | Case 1: % 24.40/4.40 | | | % 24.40/4.40 | | | (92) all_38_1 = 0 % 24.40/4.40 | | | % 24.40/4.40 | | | REDUCE: (18), (92) imply: % 24.40/4.40 | | | (93) $false % 24.40/4.40 | | | % 24.40/4.40 | | | CLOSE: (93) is inconsistent. % 24.40/4.40 | | | % 24.40/4.40 | | Case 2: % 24.40/4.40 | | | % 24.40/4.40 | | | (94) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 24.40/4.40 | | | (apart_point_and_line(all_38_6, all_38_2) = v2 & % 24.40/4.40 | | | apart_point_and_line(all_38_6, all_38_2) = v1 & % 24.40/4.40 | | | distinct_lines(all_38_2, all_38_2) = v0 & ( ~ (v0 = 0) | v2 = 0 % 24.40/4.40 | | | | v1 = 0)) % 24.40/4.40 | | | % 24.40/4.40 | | | DELTA: instantiating (94) with fresh symbols all_90_0, all_90_1, all_90_2 % 24.40/4.40 | | | gives: % 24.40/4.40 | | | (95) apart_point_and_line(all_38_6, all_38_2) = all_90_0 & % 24.40/4.40 | | | apart_point_and_line(all_38_6, all_38_2) = all_90_1 & % 24.40/4.40 | | | distinct_lines(all_38_2, all_38_2) = all_90_2 & ( ~ (all_90_2 = 0) % 24.40/4.40 | | | | all_90_0 = 0 | all_90_1 = 0) % 24.40/4.40 | | | % 24.40/4.40 | | | ALPHA: (95) implies: % 24.40/4.40 | | | (96) apart_point_and_line(all_38_6, all_38_2) = all_90_1 % 24.40/4.40 | | | (97) apart_point_and_line(all_38_6, all_38_2) = all_90_0 % 24.40/4.40 | | | % 24.40/4.40 | | | BETA: splitting (45) gives: % 24.40/4.40 | | | % 24.40/4.40 | | | Case 1: % 24.40/4.40 | | | | % 24.40/4.40 | | | | (98) all_38_0 = 0 % 24.40/4.40 | | | | % 24.40/4.40 | | | | REDUCE: (19), (98) imply: % 24.40/4.40 | | | | (99) $false % 24.40/4.40 | | | | % 24.40/4.40 | | | | CLOSE: (99) is inconsistent. % 24.40/4.40 | | | | % 24.40/4.40 | | | Case 2: % 24.40/4.40 | | | | % 24.40/4.40 | | | | (100) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 24.40/4.40 | | | | (apart_point_and_line(all_38_6, all_38_2) = v3 & % 24.40/4.40 | | | | apart_point_and_line(all_38_6, all_38_2) = v2 & % 24.40/4.40 | | | | distinct_lines(all_38_2, all_38_2) = v1 & % 24.40/4.40 | | | | distinct_points(all_38_6, all_38_6) = v0 & ( ~ (v1 = 0) | ~ % 24.40/4.40 | | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 24.40/4.40 | | | | % 24.40/4.40 | | | | DELTA: instantiating (100) with fresh symbols all_95_0, all_95_1, % 24.40/4.40 | | | | all_95_2, all_95_3 gives: % 24.40/4.40 | | | | (101) apart_point_and_line(all_38_6, all_38_2) = all_95_0 & % 24.40/4.40 | | | | apart_point_and_line(all_38_6, all_38_2) = all_95_1 & % 24.40/4.40 | | | | distinct_lines(all_38_2, all_38_2) = all_95_2 & % 24.40/4.40 | | | | distinct_points(all_38_6, all_38_6) = all_95_3 & ( ~ (all_95_2 % 24.40/4.40 | | | | = 0) | ~ (all_95_3 = 0) | all_95_0 = 0 | all_95_1 = 0) % 24.40/4.40 | | | | % 24.40/4.40 | | | | ALPHA: (101) implies: % 24.40/4.40 | | | | (102) apart_point_and_line(all_38_6, all_38_2) = all_95_1 % 24.40/4.40 | | | | (103) apart_point_and_line(all_38_6, all_38_2) = all_95_0 % 24.40/4.40 | | | | % 24.40/4.40 | | | | BETA: splitting (42) gives: % 24.40/4.40 | | | | % 24.40/4.40 | | | | Case 1: % 24.40/4.40 | | | | | % 24.40/4.40 | | | | | (104) all_38_1 = 0 % 24.40/4.40 | | | | | % 24.40/4.40 | | | | | REDUCE: (18), (104) imply: % 24.40/4.40 | | | | | (105) $false % 24.40/4.40 | | | | | % 24.40/4.40 | | | | | CLOSE: (105) is inconsistent. % 24.40/4.40 | | | | | % 24.40/4.40 | | | | Case 2: % 24.40/4.40 | | | | | % 24.40/4.40 | | | | | (106) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 24.40/4.40 | | | | | (apart_point_and_line(all_38_7, all_38_2) = v3 & % 24.40/4.40 | | | | | apart_point_and_line(all_38_7, all_38_2) = v2 & % 24.40/4.40 | | | | | distinct_lines(all_38_2, all_38_2) = v1 & % 24.40/4.40 | | | | | distinct_points(all_38_7, all_38_7) = v0 & ( ~ (v1 = 0) | % 24.40/4.40 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 24.40/4.40 | | | | | % 24.40/4.40 | | | | | DELTA: instantiating (106) with fresh symbols all_100_0, all_100_1, % 24.40/4.40 | | | | | all_100_2, all_100_3 gives: % 24.40/4.41 | | | | | (107) apart_point_and_line(all_38_7, all_38_2) = all_100_0 & % 24.40/4.41 | | | | | apart_point_and_line(all_38_7, all_38_2) = all_100_1 & % 24.40/4.41 | | | | | distinct_lines(all_38_2, all_38_2) = all_100_2 & % 24.40/4.41 | | | | | distinct_points(all_38_7, all_38_7) = all_100_3 & ( ~ % 24.40/4.41 | | | | | (all_100_2 = 0) | ~ (all_100_3 = 0) | all_100_0 = 0 | % 24.40/4.41 | | | | | all_100_1 = 0) % 24.40/4.41 | | | | | % 24.40/4.41 | | | | | ALPHA: (107) implies: % 24.40/4.41 | | | | | (108) apart_point_and_line(all_38_7, all_38_2) = all_100_1 % 24.40/4.41 | | | | | (109) apart_point_and_line(all_38_7, all_38_2) = all_100_0 % 24.40/4.41 | | | | | % 24.40/4.41 | | | | | BETA: splitting (46) gives: % 24.40/4.41 | | | | | % 24.40/4.41 | | | | | Case 1: % 24.40/4.41 | | | | | | % 24.40/4.41 | | | | | | (110) all_38_0 = 0 % 24.40/4.41 | | | | | | % 24.40/4.41 | | | | | | REDUCE: (19), (110) imply: % 24.40/4.41 | | | | | | (111) $false % 24.40/4.41 | | | | | | % 24.40/4.41 | | | | | | CLOSE: (111) is inconsistent. % 24.40/4.41 | | | | | | % 24.40/4.41 | | | | | Case 2: % 24.40/4.41 | | | | | | % 24.40/4.41 | | | | | | (112) all_38_1 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 24.40/4.41 | | | | | | ? [v3: any] : (apart_point_and_line(all_38_6, all_38_2) = % 24.40/4.41 | | | | | | v2 & apart_point_and_line(all_38_7, all_38_2) = v3 & % 24.40/4.41 | | | | | | distinct_lines(all_38_2, all_38_2) = v1 & % 24.40/4.41 | | | | | | distinct_points(all_38_6, all_38_7) = v0 & ( ~ (v1 = 0) | % 24.40/4.41 | | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 24.40/4.41 | | | | | | % 24.40/4.41 | | | | | | BETA: splitting (112) gives: % 24.40/4.41 | | | | | | % 24.40/4.41 | | | | | | Case 1: % 24.40/4.41 | | | | | | | % 24.40/4.41 | | | | | | | (113) all_38_1 = 0 % 24.40/4.41 | | | | | | | % 24.40/4.41 | | | | | | | REDUCE: (18), (113) imply: % 24.40/4.41 | | | | | | | (114) $false % 24.40/4.41 | | | | | | | % 24.40/4.41 | | | | | | | CLOSE: (114) is inconsistent. % 24.40/4.41 | | | | | | | % 24.40/4.41 | | | | | | Case 2: % 24.40/4.41 | | | | | | | % 24.40/4.41 | | | | | | | (115) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] % 24.40/4.41 | | | | | | | : (apart_point_and_line(all_38_6, all_38_2) = v2 & % 24.40/4.41 | | | | | | | apart_point_and_line(all_38_7, all_38_2) = v3 & % 24.40/4.41 | | | | | | | distinct_lines(all_38_2, all_38_2) = v1 & % 24.40/4.41 | | | | | | | distinct_points(all_38_6, all_38_7) = v0 & ( ~ (v1 = 0) % 24.40/4.41 | | | | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 24.98/4.41 | | | | | | | % 24.98/4.41 | | | | | | | DELTA: instantiating (115) with fresh symbols all_122_0, % 24.98/4.41 | | | | | | | all_122_1, all_122_2, all_122_3 gives: % 24.98/4.41 | | | | | | | (116) apart_point_and_line(all_38_6, all_38_2) = all_122_1 & % 24.98/4.41 | | | | | | | apart_point_and_line(all_38_7, all_38_2) = all_122_0 & % 24.98/4.41 | | | | | | | distinct_lines(all_38_2, all_38_2) = all_122_2 & % 24.98/4.41 | | | | | | | distinct_points(all_38_6, all_38_7) = all_122_3 & ( ~ % 24.98/4.41 | | | | | | | (all_122_2 = 0) | ~ (all_122_3 = 0) | all_122_0 = 0 | % 24.98/4.41 | | | | | | | all_122_1 = 0) % 24.98/4.41 | | | | | | | % 24.98/4.41 | | | | | | | ALPHA: (116) implies: % 24.98/4.41 | | | | | | | (117) apart_point_and_line(all_38_7, all_38_2) = all_122_0 % 24.98/4.41 | | | | | | | (118) apart_point_and_line(all_38_6, all_38_2) = all_122_1 % 24.98/4.41 | | | | | | | % 24.98/4.41 | | | | | | | GROUND_INST: instantiating (13) with 0, all_59_1, all_38_6, % 24.98/4.41 | | | | | | | all_38_7, simplifying with (27), (68) gives: % 24.98/4.41 | | | | | | | (119) all_59_1 = 0 % 24.98/4.41 | | | | | | | % 24.98/4.41 | | | | | | | GROUND_INST: instantiating (13) with all_59_1, all_71_1, all_38_6, % 24.98/4.41 | | | | | | | all_38_7, simplifying with (68), (85) gives: % 24.98/4.41 | | | | | | | (120) all_71_1 = all_59_1 % 24.98/4.41 | | | | | | | % 24.98/4.41 | | | | | | | GROUND_INST: instantiating (13) with all_49_1, all_71_1, all_38_6, % 24.98/4.41 | | | | | | | all_38_7, simplifying with (53), (85) gives: % 24.98/4.41 | | | | | | | (121) all_71_1 = all_49_1 % 24.98/4.41 | | | | | | | % 24.98/4.41 | | | | | | | GROUND_INST: instantiating (15) with all_38_1, all_100_1, % 24.98/4.41 | | | | | | | all_38_2, all_38_7, simplifying with (30), (108) % 24.98/4.41 | | | | | | | gives: % 24.98/4.41 | | | | | | | (122) all_100_1 = all_38_1 % 24.98/4.41 | | | | | | | % 24.98/4.41 | | | | | | | GROUND_INST: instantiating (15) with all_85_1, all_100_1, % 24.98/4.41 | | | | | | | all_38_2, all_38_7, simplifying with (90), (108) % 24.98/4.41 | | | | | | | gives: % 24.98/4.41 | | | | | | | (123) all_100_1 = all_85_1 % 24.98/4.41 | | | | | | | % 24.98/4.41 | | | | | | | GROUND_INST: instantiating (15) with all_100_1, all_100_0, % 24.98/4.41 | | | | | | | all_38_2, all_38_7, simplifying with (108), (109) % 24.98/4.41 | | | | | | | gives: % 24.98/4.41 | | | | | | | (124) all_100_0 = all_100_1 % 24.98/4.41 | | | | | | | % 24.98/4.41 | | | | | | | GROUND_INST: instantiating (15) with all_100_0, all_122_0, % 24.98/4.41 | | | | | | | all_38_2, all_38_7, simplifying with (109), (117) % 24.98/4.41 | | | | | | | gives: % 24.98/4.41 | | | | | | | (125) all_122_0 = all_100_0 % 24.98/4.41 | | | | | | | % 24.98/4.41 | | | | | | | GROUND_INST: instantiating (15) with all_85_0, all_122_0, % 24.98/4.41 | | | | | | | all_38_2, all_38_7, simplifying with (91), (117) % 24.98/4.41 | | | | | | | gives: % 24.98/4.41 | | | | | | | (126) all_122_0 = all_85_0 % 24.98/4.41 | | | | | | | % 24.98/4.41 | | | | | | | GROUND_INST: instantiating (15) with all_38_0, all_90_0, all_38_2, % 24.98/4.41 | | | | | | | all_38_6, simplifying with (31), (97) gives: % 24.98/4.41 | | | | | | | (127) all_90_0 = all_38_0 % 24.98/4.41 | | | | | | | % 24.98/4.41 | | | | | | | GROUND_INST: instantiating (15) with all_90_0, all_95_1, all_38_2, % 24.98/4.41 | | | | | | | all_38_6, simplifying with (97), (102) gives: % 24.98/4.41 | | | | | | | (128) all_95_1 = all_90_0 % 24.98/4.41 | | | | | | | % 24.98/4.41 | | | | | | | GROUND_INST: instantiating (15) with all_95_1, all_95_0, all_38_2, % 24.98/4.41 | | | | | | | all_38_6, simplifying with (102), (103) gives: % 24.98/4.41 | | | | | | | (129) all_95_0 = all_95_1 % 24.98/4.41 | | | | | | | % 24.98/4.41 | | | | | | | GROUND_INST: instantiating (15) with all_95_0, all_122_1, % 24.98/4.41 | | | | | | | all_38_2, all_38_6, simplifying with (103), (118) % 24.98/4.41 | | | | | | | gives: % 24.98/4.41 | | | | | | | (130) all_122_1 = all_95_0 % 24.98/4.41 | | | | | | | % 24.98/4.41 | | | | | | | GROUND_INST: instantiating (15) with all_90_1, all_122_1, % 24.98/4.41 | | | | | | | all_38_2, all_38_6, simplifying with (96), (118) % 24.98/4.41 | | | | | | | gives: % 24.98/4.41 | | | | | | | (131) all_122_1 = all_90_1 % 24.98/4.41 | | | | | | | % 24.98/4.41 | | | | | | | GROUND_INST: instantiating (16) with all_61_1, all_63_1, all_38_8, % 24.98/4.41 | | | | | | | all_38_9, simplifying with (75), (79) gives: % 24.98/4.41 | | | | | | | (132) all_63_1 = all_61_1 % 24.98/4.41 | | | | | | | % 24.98/4.42 | | | | | | | GROUND_INST: instantiating (16) with all_38_2, all_65_1, all_38_8, % 24.98/4.42 | | | | | | | all_38_9, simplifying with (32), (81) gives: % 24.98/4.42 | | | | | | | (133) all_65_1 = all_38_2 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | GROUND_INST: instantiating (16) with all_63_1, all_65_1, all_38_8, % 24.98/4.42 | | | | | | | all_38_9, simplifying with (79), (81) gives: % 24.98/4.42 | | | | | | | (134) all_65_1 = all_63_1 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | GROUND_INST: instantiating (16) with all_38_5, all_57_1, all_38_6, % 24.98/4.42 | | | | | | | all_38_7, simplifying with (33), (66) gives: % 24.98/4.42 | | | | | | | (135) all_57_1 = all_38_5 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | GROUND_INST: instantiating (16) with all_57_1, all_67_1, all_38_6, % 24.98/4.42 | | | | | | | all_38_7, simplifying with (66), (83) gives: % 24.98/4.42 | | | | | | | (136) all_67_1 = all_57_1 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | GROUND_INST: instantiating (16) with all_55_1, all_67_1, all_38_6, % 24.98/4.42 | | | | | | | all_38_7, simplifying with (63), (83) gives: % 24.98/4.42 | | | | | | | (137) all_67_1 = all_55_1 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | COMBINE_EQS: (125), (126) imply: % 24.98/4.42 | | | | | | | (138) all_100_0 = all_85_0 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | SIMP: (138) implies: % 24.98/4.42 | | | | | | | (139) all_100_0 = all_85_0 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | COMBINE_EQS: (130), (131) imply: % 24.98/4.42 | | | | | | | (140) all_95_0 = all_90_1 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | SIMP: (140) implies: % 24.98/4.42 | | | | | | | (141) all_95_0 = all_90_1 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | COMBINE_EQS: (124), (139) imply: % 24.98/4.42 | | | | | | | (142) all_100_1 = all_85_0 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | SIMP: (142) implies: % 24.98/4.42 | | | | | | | (143) all_100_1 = all_85_0 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | COMBINE_EQS: (123), (143) imply: % 24.98/4.42 | | | | | | | (144) all_85_0 = all_85_1 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | COMBINE_EQS: (122), (143) imply: % 24.98/4.42 | | | | | | | (145) all_85_0 = all_38_1 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | COMBINE_EQS: (129), (141) imply: % 24.98/4.42 | | | | | | | (146) all_95_1 = all_90_1 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | SIMP: (146) implies: % 24.98/4.42 | | | | | | | (147) all_95_1 = all_90_1 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | COMBINE_EQS: (128), (147) imply: % 24.98/4.42 | | | | | | | (148) all_90_0 = all_90_1 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | SIMP: (148) implies: % 24.98/4.42 | | | | | | | (149) all_90_0 = all_90_1 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | COMBINE_EQS: (127), (149) imply: % 24.98/4.42 | | | | | | | (150) all_90_1 = all_38_0 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | COMBINE_EQS: (144), (145) imply: % 24.98/4.42 | | | | | | | (151) all_85_1 = all_38_1 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | COMBINE_EQS: (120), (121) imply: % 24.98/4.42 | | | | | | | (152) all_59_1 = all_49_1 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | SIMP: (152) implies: % 24.98/4.42 | | | | | | | (153) all_59_1 = all_49_1 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | COMBINE_EQS: (136), (137) imply: % 24.98/4.42 | | | | | | | (154) all_57_1 = all_55_1 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | SIMP: (154) implies: % 24.98/4.42 | | | | | | | (155) all_57_1 = all_55_1 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | COMBINE_EQS: (133), (134) imply: % 24.98/4.42 | | | | | | | (156) all_63_1 = all_38_2 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | SIMP: (156) implies: % 24.98/4.42 | | | | | | | (157) all_63_1 = all_38_2 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | COMBINE_EQS: (132), (157) imply: % 24.98/4.42 | | | | | | | (158) all_61_1 = all_38_2 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | SIMP: (158) implies: % 24.98/4.42 | | | | | | | (159) all_61_1 = all_38_2 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | COMBINE_EQS: (119), (153) imply: % 24.98/4.42 | | | | | | | (160) all_49_1 = 0 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | COMBINE_EQS: (135), (155) imply: % 24.98/4.42 | | | | | | | (161) all_55_1 = all_38_5 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | REDUCE: (65), (135) imply: % 24.98/4.42 | | | | | | | (162) apart_point_and_line(all_38_6, all_38_5) = all_57_0 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | REDUCE: (62), (161) imply: % 24.98/4.42 | | | | | | | (163) apart_point_and_line(all_38_7, all_38_5) = all_55_0 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | REDUCE: (78), (157) imply: % 24.98/4.42 | | | | | | | (164) apart_point_and_line(all_38_8, all_38_2) = all_63_0 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | REDUCE: (74), (159) imply: % 24.98/4.42 | | | | | | | (165) apart_point_and_line(all_38_9, all_38_2) = all_61_0 % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | BETA: splitting (70) gives: % 24.98/4.42 | | | | | | | % 24.98/4.42 | | | | | | | Case 1: % 24.98/4.42 | | | | | | | | % 24.98/4.42 | | | | | | | | (166) ~ (all_59_0 = 0) % 24.98/4.42 | | | | | | | | % 24.98/4.42 | | | | | | | | GROUND_INST: instantiating (15) with all_51_0, all_61_0, % 24.98/4.42 | | | | | | | | all_38_2, all_38_9, simplifying with (56), (165) % 24.98/4.42 | | | | | | | | gives: % 24.98/4.42 | | | | | | | | (167) all_61_0 = all_51_0 % 24.98/4.42 | | | | | | | | % 24.98/4.42 | | | | | | | | GROUND_INST: instantiating (15) with all_53_0, all_63_0, % 24.98/4.42 | | | | | | | | all_38_2, all_38_8, simplifying with (58), (164) % 24.98/4.42 | | | | | | | | gives: % 24.98/4.42 | | | | | | | | (168) all_63_0 = all_53_0 % 24.98/4.42 | | | | | | | | % 24.98/4.42 | | | | | | | | GROUND_INST: instantiating (15) with all_49_0, all_55_0, % 24.98/4.42 | | | | | | | | all_38_5, all_38_7, simplifying with (54), (163) % 24.98/4.42 | | | | | | | | gives: % 24.98/4.42 | | | | | | | | (169) all_55_0 = all_49_0 % 24.98/4.42 | | | | | | | | % 24.98/4.42 | | | | | | | | GROUND_INST: instantiating (15) with all_59_0, all_57_0, % 24.98/4.42 | | | | | | | | all_38_5, all_38_6, simplifying with (69), (162) % 24.98/4.42 | | | | | | | | gives: % 24.98/4.42 | | | | | | | | (170) all_59_0 = all_57_0 % 24.98/4.42 | | | | | | | | % 24.98/4.42 | | | | | | | | REDUCE: (77), (168) imply: % 24.98/4.42 | | | | | | | | (171) ~ (all_53_0 = 0) % 24.98/4.42 | | | | | | | | % 24.98/4.42 | | | | | | | | REDUCE: (72), (167) imply: % 24.98/4.42 | | | | | | | | (172) ~ (all_51_0 = 0) % 24.98/4.42 | | | | | | | | % 24.98/4.42 | | | | | | | | REDUCE: (166), (170) imply: % 24.98/4.42 | | | | | | | | (173) ~ (all_57_0 = 0) % 24.98/4.42 | | | | | | | | % 24.98/4.42 | | | | | | | | REDUCE: (60), (169) imply: % 24.98/4.42 | | | | | | | | (174) ~ (all_49_0 = 0) % 24.98/4.42 | | | | | | | | % 24.98/4.42 | | | | | | | | GROUND_INST: instantiating (7) with all_38_9, all_38_7, % 24.98/4.42 | | | | | | | | all_38_2, all_38_2, all_51_0, all_38_1, simplifying % 24.98/4.42 | | | | | | | | with (20), (22), (25), (30), (56) gives: % 24.98/4.42 | | | | | | | | (175) all_51_0 = 0 | all_38_1 = 0 | ? [v0: any] : ? [v1: % 24.98/4.42 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 24.98/4.42 | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v3 & % 24.98/4.42 | | | | | | | | apart_point_and_line(all_38_9, all_38_2) = v2 & % 24.98/4.42 | | | | | | | | distinct_lines(all_38_2, all_38_2) = v1 & % 24.98/4.42 | | | | | | | | distinct_points(all_38_9, all_38_7) = v0 & ( ~ (v1 = % 24.98/4.42 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 24.98/4.42 | | | | | | | | % 24.98/4.43 | | | | | | | | GROUND_INST: instantiating (7) with all_38_7, all_38_8, % 24.98/4.43 | | | | | | | | all_38_2, all_38_2, all_38_1, all_53_0, simplifying % 24.98/4.43 | | | | | | | | with (21), (22), (25), (30), (58) gives: % 24.98/4.43 | | | | | | | | (176) all_53_0 = 0 | all_38_1 = 0 | ? [v0: any] : ? [v1: % 24.98/4.43 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 24.98/4.43 | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v2 & % 24.98/4.43 | | | | | | | | apart_point_and_line(all_38_8, all_38_2) = v3 & % 24.98/4.43 | | | | | | | | distinct_lines(all_38_2, all_38_2) = v1 & % 24.98/4.43 | | | | | | | | distinct_points(all_38_7, all_38_8) = v0 & ( ~ (v1 = % 24.98/4.43 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 24.98/4.43 | | | | | | | | % 24.98/4.43 | | | | | | | | GROUND_INST: instantiating (7) with all_38_8, all_38_7, % 24.98/4.43 | | | | | | | | all_38_2, all_38_2, all_53_0, all_38_1, simplifying % 24.98/4.43 | | | | | | | | with (21), (22), (25), (30), (58) gives: % 24.98/4.43 | | | | | | | | (177) all_53_0 = 0 | all_38_1 = 0 | ? [v0: any] : ? [v1: % 24.98/4.43 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 24.98/4.43 | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v3 & % 24.98/4.43 | | | | | | | | apart_point_and_line(all_38_8, all_38_2) = v2 & % 24.98/4.43 | | | | | | | | distinct_lines(all_38_2, all_38_2) = v1 & % 24.98/4.43 | | | | | | | | distinct_points(all_38_8, all_38_7) = v0 & ( ~ (v1 = % 24.98/4.43 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 24.98/4.43 | | | | | | | | % 24.98/4.43 | | | | | | | | GROUND_INST: instantiating (7) with all_38_8, all_38_8, % 24.98/4.43 | | | | | | | | all_38_2, all_38_2, all_53_0, all_53_0, simplifying % 24.98/4.43 | | | | | | | | with (21), (25), (58) gives: % 24.98/4.43 | | | | | | | | (178) all_53_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 24.98/4.43 | | | | | | | | any] : ? [v3: any] : (apart_point_and_line(all_38_8, % 24.98/4.43 | | | | | | | | all_38_2) = v3 & apart_point_and_line(all_38_8, % 24.98/4.43 | | | | | | | | all_38_2) = v2 & distinct_lines(all_38_2, all_38_2) % 24.98/4.43 | | | | | | | | = v1 & distinct_points(all_38_8, all_38_8) = v0 & ( ~ % 24.98/4.43 | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 24.98/4.43 | | | | | | | | % 24.98/4.43 | | | | | | | | GROUND_INST: instantiating (7) with all_38_8, all_38_9, % 24.98/4.43 | | | | | | | | all_38_2, all_38_2, all_53_0, all_51_0, simplifying % 24.98/4.43 | | | | | | | | with (20), (21), (25), (56), (58) gives: % 24.98/4.43 | | | | | | | | (179) all_53_0 = 0 | all_51_0 = 0 | ? [v0: any] : ? [v1: % 24.98/4.43 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 24.98/4.43 | | | | | | | | (apart_point_and_line(all_38_8, all_38_2) = v2 & % 24.98/4.43 | | | | | | | | apart_point_and_line(all_38_9, all_38_2) = v3 & % 24.98/4.43 | | | | | | | | distinct_lines(all_38_2, all_38_2) = v1 & % 24.98/4.43 | | | | | | | | distinct_points(all_38_8, all_38_9) = v0 & ( ~ (v1 = % 24.98/4.43 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 24.98/4.43 | | | | | | | | % 24.98/4.43 | | | | | | | | GROUND_INST: instantiating (7) with all_38_7, all_38_6, % 24.98/4.43 | | | | | | | | all_38_5, all_38_2, all_49_0, all_38_0, simplifying % 24.98/4.43 | | | | | | | | with (22), (23), (24), (25), (31), (54) gives: % 24.98/4.43 | | | | | | | | (180) all_49_0 = 0 | all_38_0 = 0 | ? [v0: any] : ? [v1: % 24.98/4.43 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 24.98/4.43 | | | | | | | | (apart_point_and_line(all_38_6, all_38_5) = v3 & % 24.98/4.43 | | | | | | | | apart_point_and_line(all_38_7, all_38_2) = v2 & % 24.98/4.43 | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 24.98/4.43 | | | | | | | | distinct_points(all_38_7, all_38_6) = v0 & ( ~ (v1 = % 24.98/4.43 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 24.98/4.43 | | | | | | | | % 24.98/4.43 | | | | | | | | GROUND_INST: instantiating (5) with all_38_7, all_38_6, % 24.98/4.43 | | | | | | | | all_38_5, all_38_2, all_49_0, all_38_1, simplifying % 24.98/4.43 | | | | | | | | with (22), (23), (24), (25), (27), (30), (54) % 24.98/4.43 | | | | | | | | gives: % 24.98/4.43 | | | | | | | | (181) all_49_0 = 0 | all_38_1 = 0 | ? [v0: any] : ? [v1: % 24.98/4.43 | | | | | | | | any] : ? [v2: any] : (apart_point_and_line(all_38_6, % 24.98/4.43 | | | | | | | | all_38_2) = v2 & apart_point_and_line(all_38_6, % 24.98/4.43 | | | | | | | | all_38_5) = v1 & distinct_lines(all_38_5, all_38_2) % 24.98/4.43 | | | | | | | | = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 = 0)) % 24.98/4.43 | | | | | | | | % 24.98/4.43 | | | | | | | | GROUND_INST: instantiating (5) with all_38_7, all_38_6, % 24.98/4.43 | | | | | | | | all_38_5, all_38_5, all_49_0, all_49_0, simplifying % 24.98/4.43 | | | | | | | | with (22), (23), (24), (27), (54) gives: % 24.98/4.43 | | | | | | | | (182) all_49_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 24.98/4.43 | | | | | | | | any] : (apart_point_and_line(all_38_6, all_38_5) = v2 % 24.98/4.43 | | | | | | | | & apart_point_and_line(all_38_6, all_38_5) = v1 & % 24.98/4.43 | | | | | | | | distinct_lines(all_38_5, all_38_5) = v0 & ( ~ (v0 = % 24.98/4.43 | | | | | | | | 0) | v2 = 0 | v1 = 0)) % 24.98/4.43 | | | | | | | | % 24.98/4.43 | | | | | | | | GROUND_INST: instantiating (7) with all_38_7, all_38_7, % 24.98/4.43 | | | | | | | | all_38_5, all_38_5, all_49_0, all_49_0, simplifying % 24.98/4.43 | | | | | | | | with (22), (24), (54) gives: % 24.98/4.43 | | | | | | | | (183) all_49_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 24.98/4.43 | | | | | | | | any] : ? [v3: any] : (apart_point_and_line(all_38_7, % 24.98/4.43 | | | | | | | | all_38_5) = v3 & apart_point_and_line(all_38_7, % 24.98/4.43 | | | | | | | | all_38_5) = v2 & distinct_lines(all_38_5, all_38_5) % 24.98/4.43 | | | | | | | | = v1 & distinct_points(all_38_7, all_38_7) = v0 & ( ~ % 24.98/4.43 | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 24.98/4.43 | | | | | | | | % 24.98/4.43 | | | | | | | | GROUND_INST: instantiating (7) with all_38_8, all_38_7, % 24.98/4.43 | | | | | | | | all_38_2, all_38_5, all_53_0, all_49_0, simplifying % 24.98/4.43 | | | | | | | | with (21), (22), (24), (25), (54), (58) gives: % 24.98/4.43 | | | | | | | | (184) all_53_0 = 0 | all_49_0 = 0 | ? [v0: any] : ? [v1: % 24.98/4.43 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 24.98/4.43 | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v3 & % 24.98/4.43 | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v2 & % 24.98/4.43 | | | | | | | | distinct_lines(all_38_2, all_38_5) = v1 & % 24.98/4.43 | | | | | | | | distinct_points(all_38_8, all_38_7) = v0 & ( ~ (v1 = % 24.98/4.43 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 24.98/4.43 | | | | | | | | % 24.98/4.43 | | | | | | | | GROUND_INST: instantiating (7) with all_38_7, all_38_8, % 24.98/4.43 | | | | | | | | all_38_5, all_38_2, all_49_0, all_53_0, simplifying % 24.98/4.43 | | | | | | | | with (21), (22), (24), (25), (54), (58) gives: % 24.98/4.44 | | | | | | | | (185) all_53_0 = 0 | all_49_0 = 0 | ? [v0: any] : ? [v1: % 24.98/4.44 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 24.98/4.44 | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v2 & % 24.98/4.44 | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v3 & % 24.98/4.44 | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 24.98/4.44 | | | | | | | | distinct_points(all_38_7, all_38_8) = v0 & ( ~ (v1 = % 24.98/4.44 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 24.98/4.44 | | | | | | | | % 24.98/4.44 | | | | | | | | GROUND_INST: instantiating (6) with all_38_8, all_38_7, % 24.98/4.44 | | | | | | | | all_38_5, all_38_2, all_53_0, all_49_0, simplifying % 24.98/4.44 | | | | | | | | with (21), (22), (24), (25), (54), (58) gives: % 24.98/4.44 | | | | | | | | (186) all_53_0 = 0 | all_49_0 = 0 | ? [v0: any] : ? [v1: % 24.98/4.44 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 24.98/4.44 | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v3 & % 24.98/4.44 | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v2 & % 24.98/4.44 | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 24.98/4.44 | | | | | | | | distinct_points(all_38_8, all_38_7) = v0 & ( ~ (v1 = % 24.98/4.44 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 24.98/4.44 | | | | | | | | % 24.98/4.44 | | | | | | | | GROUND_INST: instantiating (6) with all_38_7, all_38_8, % 24.98/4.44 | | | | | | | | all_38_2, all_38_5, all_49_0, all_53_0, simplifying % 24.98/4.44 | | | | | | | | with (21), (22), (24), (25), (54), (58) gives: % 24.98/4.44 | | | | | | | | (187) all_53_0 = 0 | all_49_0 = 0 | ? [v0: any] : ? [v1: % 24.98/4.44 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 24.98/4.44 | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v2 & % 24.98/4.44 | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v3 & % 24.98/4.44 | | | | | | | | distinct_lines(all_38_2, all_38_5) = v1 & % 24.98/4.44 | | | | | | | | distinct_points(all_38_7, all_38_8) = v0 & ( ~ (v1 = % 24.98/4.44 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 24.98/4.44 | | | | | | | | % 24.98/4.44 | | | | | | | | GROUND_INST: instantiating (7) with all_38_9, all_38_7, % 24.98/4.44 | | | | | | | | all_38_2, all_38_5, all_51_0, all_49_0, simplifying % 24.98/4.44 | | | | | | | | with (20), (22), (24), (25), (54), (56) gives: % 25.24/4.44 | | | | | | | | (188) all_51_0 = 0 | all_49_0 = 0 | ? [v0: any] : ? [v1: % 25.24/4.44 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 25.24/4.44 | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v3 & % 25.24/4.44 | | | | | | | | apart_point_and_line(all_38_9, all_38_5) = v2 & % 25.24/4.44 | | | | | | | | distinct_lines(all_38_2, all_38_5) = v1 & % 25.24/4.44 | | | | | | | | distinct_points(all_38_9, all_38_7) = v0 & ( ~ (v1 = % 25.24/4.44 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.44 | | | | | | | | % 25.24/4.44 | | | | | | | | GROUND_INST: instantiating (6) with all_38_9, all_38_7, % 25.24/4.44 | | | | | | | | all_38_5, all_38_2, all_51_0, all_49_0, simplifying % 25.24/4.44 | | | | | | | | with (20), (22), (24), (25), (54), (56) gives: % 25.24/4.44 | | | | | | | | (189) all_51_0 = 0 | all_49_0 = 0 | ? [v0: any] : ? [v1: % 25.24/4.44 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 25.24/4.44 | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v3 & % 25.24/4.44 | | | | | | | | apart_point_and_line(all_38_9, all_38_5) = v2 & % 25.24/4.44 | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.24/4.44 | | | | | | | | distinct_points(all_38_9, all_38_7) = v0 & ( ~ (v1 = % 25.24/4.44 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.44 | | | | | | | | % 25.24/4.44 | | | | | | | | GROUND_INST: instantiating (6) with all_38_7, all_38_9, % 25.24/4.44 | | | | | | | | all_38_2, all_38_5, all_49_0, all_51_0, simplifying % 25.24/4.44 | | | | | | | | with (20), (22), (24), (25), (54), (56) gives: % 25.24/4.44 | | | | | | | | (190) all_51_0 = 0 | all_49_0 = 0 | ? [v0: any] : ? [v1: % 25.24/4.44 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 25.24/4.44 | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v2 & % 25.24/4.44 | | | | | | | | apart_point_and_line(all_38_9, all_38_5) = v3 & % 25.24/4.44 | | | | | | | | distinct_lines(all_38_2, all_38_5) = v1 & % 25.24/4.44 | | | | | | | | distinct_points(all_38_7, all_38_9) = v0 & ( ~ (v1 = % 25.24/4.44 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.44 | | | | | | | | % 25.24/4.44 | | | | | | | | GROUND_INST: instantiating (8) with all_38_7, all_38_6, % 25.24/4.44 | | | | | | | | all_38_2, all_38_5, all_38_0, all_57_0, simplifying % 25.24/4.44 | | | | | | | | with (22), (23), (24), (25), (27), (31), (162) % 25.24/4.44 | | | | | | | | gives: % 25.24/4.44 | | | | | | | | (191) all_57_0 = 0 | all_38_0 = 0 | ? [v0: any] : ? [v1: % 25.24/4.44 | | | | | | | | any] : ? [v2: any] : (apart_point_and_line(all_38_7, % 25.24/4.44 | | | | | | | | all_38_2) = v1 & apart_point_and_line(all_38_7, % 25.24/4.44 | | | | | | | | all_38_5) = v2 & distinct_lines(all_38_2, all_38_5) % 25.24/4.44 | | | | | | | | = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 = 0)) % 25.24/4.44 | | | | | | | | % 25.24/4.44 | | | | | | | | GROUND_INST: instantiating (8) with all_38_7, all_38_6, % 25.24/4.44 | | | | | | | | all_38_5, all_38_2, all_57_0, all_38_0, simplifying % 25.24/4.44 | | | | | | | | with (22), (23), (24), (25), (27), (31), (162) % 25.24/4.44 | | | | | | | | gives: % 25.24/4.44 | | | | | | | | (192) all_57_0 = 0 | all_38_0 = 0 | ? [v0: any] : ? [v1: % 25.24/4.44 | | | | | | | | any] : ? [v2: any] : (apart_point_and_line(all_38_7, % 25.24/4.44 | | | | | | | | all_38_2) = v2 & apart_point_and_line(all_38_7, % 25.24/4.44 | | | | | | | | all_38_5) = v1 & distinct_lines(all_38_5, all_38_2) % 25.24/4.44 | | | | | | | | = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 = 0)) % 25.24/4.44 | | | | | | | | % 25.24/4.44 | | | | | | | | GROUND_INST: instantiating (10) with all_38_6, all_38_5, % 25.24/4.44 | | | | | | | | all_38_2, all_57_0, all_38_0, simplifying with % 25.24/4.44 | | | | | | | | (23), (24), (25), (31), (162) gives: % 25.24/4.44 | | | | | | | | (193) all_57_0 = 0 | all_38_0 = 0 | ? [v0: any] : ? [v1: % 25.24/4.44 | | | | | | | | any] : (convergent_lines(all_38_5, all_38_2) = v1 & % 25.24/4.44 | | | | | | | | distinct_lines(all_38_5, all_38_2) = v0 & ( ~ (v0 = % 25.24/4.44 | | | | | | | | 0) | v1 = 0)) % 25.24/4.44 | | | | | | | | % 25.24/4.44 | | | | | | | | GROUND_INST: instantiating (6) with all_38_7, all_38_6, % 25.24/4.44 | | | | | | | | all_38_5, all_38_2, all_38_1, all_57_0, simplifying % 25.24/4.44 | | | | | | | | with (22), (23), (24), (25), (30), (162) gives: % 25.24/4.45 | | | | | | | | (194) all_57_0 = 0 | all_38_1 = 0 | ? [v0: any] : ? [v1: % 25.24/4.45 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 25.24/4.45 | | | | | | | | (apart_point_and_line(all_38_6, all_38_2) = v3 & % 25.24/4.45 | | | | | | | | apart_point_and_line(all_38_7, all_38_5) = v2 & % 25.24/4.45 | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.24/4.45 | | | | | | | | distinct_points(all_38_7, all_38_6) = v0 & ( ~ (v1 = % 25.24/4.45 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.45 | | | | | | | | % 25.24/4.45 | | | | | | | | GROUND_INST: instantiating (7) with all_38_6, all_38_7, % 25.24/4.45 | | | | | | | | all_38_5, all_38_5, all_57_0, all_49_0, simplifying % 25.24/4.45 | | | | | | | | with (22), (23), (24), (54), (162) gives: % 25.24/4.45 | | | | | | | | (195) all_57_0 = 0 | all_49_0 = 0 | ? [v0: any] : ? [v1: % 25.24/4.45 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 25.24/4.45 | | | | | | | | (apart_point_and_line(all_38_6, all_38_5) = v2 & % 25.24/4.45 | | | | | | | | apart_point_and_line(all_38_7, all_38_5) = v3 & % 25.24/4.45 | | | | | | | | distinct_lines(all_38_5, all_38_5) = v1 & % 25.24/4.45 | | | | | | | | distinct_points(all_38_6, all_38_7) = v0 & ( ~ (v1 = % 25.24/4.45 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.45 | | | | | | | | % 25.24/4.45 | | | | | | | | GROUND_INST: instantiating (7) with all_38_8, all_38_6, % 25.24/4.45 | | | | | | | | all_38_2, all_38_5, all_53_0, all_57_0, simplifying % 25.24/4.45 | | | | | | | | with (21), (23), (24), (25), (58), (162) gives: % 25.24/4.45 | | | | | | | | (196) all_57_0 = 0 | all_53_0 = 0 | ? [v0: any] : ? [v1: % 25.24/4.45 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 25.24/4.45 | | | | | | | | (apart_point_and_line(all_38_6, all_38_2) = v3 & % 25.24/4.45 | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v2 & % 25.24/4.45 | | | | | | | | distinct_lines(all_38_2, all_38_5) = v1 & % 25.24/4.45 | | | | | | | | distinct_points(all_38_8, all_38_6) = v0 & ( ~ (v1 = % 25.24/4.45 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.45 | | | | | | | | % 25.24/4.45 | | | | | | | | GROUND_INST: instantiating (7) with all_38_6, all_38_8, % 25.24/4.45 | | | | | | | | all_38_5, all_38_2, all_57_0, all_53_0, simplifying % 25.24/4.45 | | | | | | | | with (21), (23), (24), (25), (58), (162) gives: % 25.24/4.45 | | | | | | | | (197) all_57_0 = 0 | all_53_0 = 0 | ? [v0: any] : ? [v1: % 25.24/4.45 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 25.24/4.45 | | | | | | | | (apart_point_and_line(all_38_6, all_38_2) = v2 & % 25.24/4.45 | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v3 & % 25.24/4.45 | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.24/4.45 | | | | | | | | distinct_points(all_38_6, all_38_8) = v0 & ( ~ (v1 = % 25.24/4.45 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.45 | | | | | | | | % 25.24/4.45 | | | | | | | | GROUND_INST: instantiating (6) with all_38_8, all_38_6, % 25.24/4.45 | | | | | | | | all_38_5, all_38_2, all_53_0, all_57_0, simplifying % 25.24/4.45 | | | | | | | | with (21), (23), (24), (25), (58), (162) gives: % 25.24/4.45 | | | | | | | | (198) all_57_0 = 0 | all_53_0 = 0 | ? [v0: any] : ? [v1: % 25.24/4.45 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 25.24/4.45 | | | | | | | | (apart_point_and_line(all_38_6, all_38_2) = v3 & % 25.24/4.45 | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v2 & % 25.24/4.45 | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.24/4.45 | | | | | | | | distinct_points(all_38_8, all_38_6) = v0 & ( ~ (v1 = % 25.24/4.45 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.45 | | | | | | | | % 25.24/4.45 | | | | | | | | GROUND_INST: instantiating (6) with all_38_6, all_38_8, % 25.24/4.45 | | | | | | | | all_38_2, all_38_5, all_57_0, all_53_0, simplifying % 25.24/4.45 | | | | | | | | with (21), (23), (24), (25), (58), (162) gives: % 25.24/4.45 | | | | | | | | (199) all_57_0 = 0 | all_53_0 = 0 | ? [v0: any] : ? [v1: % 25.24/4.45 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 25.24/4.45 | | | | | | | | (apart_point_and_line(all_38_6, all_38_2) = v2 & % 25.24/4.45 | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v3 & % 25.24/4.45 | | | | | | | | distinct_lines(all_38_2, all_38_5) = v1 & % 25.24/4.45 | | | | | | | | distinct_points(all_38_6, all_38_8) = v0 & ( ~ (v1 = % 25.24/4.45 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.45 | | | | | | | | % 25.24/4.45 | | | | | | | | GROUND_INST: instantiating (7) with all_38_6, all_38_9, % 25.24/4.45 | | | | | | | | all_38_5, all_38_2, all_57_0, all_51_0, simplifying % 25.24/4.45 | | | | | | | | with (20), (23), (24), (25), (56), (162) gives: % 25.24/4.45 | | | | | | | | (200) all_57_0 = 0 | all_51_0 = 0 | ? [v0: any] : ? [v1: % 25.24/4.45 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 25.24/4.45 | | | | | | | | (apart_point_and_line(all_38_6, all_38_2) = v2 & % 25.24/4.45 | | | | | | | | apart_point_and_line(all_38_9, all_38_5) = v3 & % 25.24/4.45 | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.24/4.45 | | | | | | | | distinct_points(all_38_6, all_38_9) = v0 & ( ~ (v1 = % 25.24/4.45 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.45 | | | | | | | | % 25.24/4.45 | | | | | | | | GROUND_INST: instantiating (6) with all_38_9, all_38_6, % 25.24/4.45 | | | | | | | | all_38_5, all_38_2, all_51_0, all_57_0, simplifying % 25.24/4.45 | | | | | | | | with (20), (23), (24), (25), (56), (162) gives: % 25.24/4.45 | | | | | | | | (201) all_57_0 = 0 | all_51_0 = 0 | ? [v0: any] : ? [v1: % 25.24/4.45 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 25.24/4.45 | | | | | | | | (apart_point_and_line(all_38_6, all_38_2) = v3 & % 25.24/4.45 | | | | | | | | apart_point_and_line(all_38_9, all_38_5) = v2 & % 25.24/4.45 | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.24/4.45 | | | | | | | | distinct_points(all_38_9, all_38_6) = v0 & ( ~ (v1 = % 25.24/4.45 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.45 | | | | | | | | % 25.24/4.45 | | | | | | | | BETA: splitting (34) gives: % 25.24/4.45 | | | | | | | | % 25.24/4.45 | | | | | | | | Case 1: % 25.24/4.45 | | | | | | | | | % 25.24/4.45 | | | | | | | | | (202) all_38_3 = 0 % 25.24/4.45 | | | | | | | | | % 25.24/4.45 | | | | | | | | | REDUCE: (29), (202) imply: % 25.24/4.45 | | | | | | | | | (203) apart_point_and_line(all_38_8, all_38_5) = 0 % 25.24/4.45 | | | | | | | | | % 25.24/4.45 | | | | | | | | | BETA: splitting (192) gives: % 25.24/4.45 | | | | | | | | | % 25.24/4.45 | | | | | | | | | Case 1: % 25.24/4.45 | | | | | | | | | | % 25.24/4.45 | | | | | | | | | | (204) all_57_0 = 0 % 25.24/4.45 | | | | | | | | | | % 25.24/4.45 | | | | | | | | | | REDUCE: (173), (204) imply: % 25.24/4.45 | | | | | | | | | | (205) $false % 25.24/4.45 | | | | | | | | | | % 25.24/4.45 | | | | | | | | | | CLOSE: (205) is inconsistent. % 25.24/4.45 | | | | | | | | | | % 25.24/4.45 | | | | | | | | | Case 2: % 25.24/4.45 | | | | | | | | | | % 25.24/4.45 | | | | | | | | | | (206) all_38_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.45 | | | | | | | | | | [v2: any] : (apart_point_and_line(all_38_7, % 25.24/4.45 | | | | | | | | | | all_38_2) = v2 & apart_point_and_line(all_38_7, % 25.24/4.45 | | | | | | | | | | all_38_5) = v1 & distinct_lines(all_38_5, % 25.24/4.45 | | | | | | | | | | all_38_2) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 = % 25.24/4.45 | | | | | | | | | | 0)) % 25.24/4.45 | | | | | | | | | | % 25.24/4.45 | | | | | | | | | | BETA: splitting (191) gives: % 25.24/4.45 | | | | | | | | | | % 25.24/4.45 | | | | | | | | | | Case 1: % 25.24/4.45 | | | | | | | | | | | % 25.24/4.45 | | | | | | | | | | | (207) all_57_0 = 0 % 25.24/4.45 | | | | | | | | | | | % 25.24/4.45 | | | | | | | | | | | REDUCE: (173), (207) imply: % 25.24/4.45 | | | | | | | | | | | (208) $false % 25.24/4.45 | | | | | | | | | | | % 25.24/4.45 | | | | | | | | | | | CLOSE: (208) is inconsistent. % 25.24/4.45 | | | | | | | | | | | % 25.24/4.45 | | | | | | | | | | Case 2: % 25.24/4.45 | | | | | | | | | | | % 25.24/4.45 | | | | | | | | | | | (209) all_38_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.45 | | | | | | | | | | | [v2: any] : (apart_point_and_line(all_38_7, % 25.24/4.45 | | | | | | | | | | | all_38_2) = v1 & % 25.24/4.45 | | | | | | | | | | | apart_point_and_line(all_38_7, all_38_5) = v2 & % 25.24/4.45 | | | | | | | | | | | distinct_lines(all_38_2, all_38_5) = v0 & ( ~ % 25.24/4.45 | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 25.24/4.45 | | | | | | | | | | | % 25.24/4.45 | | | | | | | | | | | BETA: splitting (198) gives: % 25.24/4.45 | | | | | | | | | | | % 25.24/4.45 | | | | | | | | | | | Case 1: % 25.24/4.45 | | | | | | | | | | | | % 25.24/4.45 | | | | | | | | | | | | (210) all_57_0 = 0 % 25.24/4.45 | | | | | | | | | | | | % 25.24/4.45 | | | | | | | | | | | | REDUCE: (173), (210) imply: % 25.24/4.45 | | | | | | | | | | | | (211) $false % 25.24/4.45 | | | | | | | | | | | | % 25.24/4.45 | | | | | | | | | | | | CLOSE: (211) is inconsistent. % 25.24/4.45 | | | | | | | | | | | | % 25.24/4.45 | | | | | | | | | | | Case 2: % 25.24/4.45 | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | (212) all_53_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.46 | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.24/4.46 | | | | | | | | | | | | (apart_point_and_line(all_38_6, all_38_2) = v3 & % 25.24/4.46 | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v2 & % 25.24/4.46 | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.24/4.46 | | | | | | | | | | | | distinct_points(all_38_8, all_38_6) = v0 & ( ~ % 25.24/4.46 | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.46 | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | BETA: splitting (199) gives: % 25.24/4.46 | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | Case 1: % 25.24/4.46 | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | (213) all_57_0 = 0 % 25.24/4.46 | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | REDUCE: (173), (213) imply: % 25.24/4.46 | | | | | | | | | | | | | (214) $false % 25.24/4.46 | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | CLOSE: (214) is inconsistent. % 25.24/4.46 | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | Case 2: % 25.24/4.46 | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | (215) all_53_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.46 | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.24/4.46 | | | | | | | | | | | | | (apart_point_and_line(all_38_6, all_38_2) = v2 & % 25.24/4.46 | | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v3 & % 25.24/4.46 | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_5) = v1 & % 25.24/4.46 | | | | | | | | | | | | | distinct_points(all_38_6, all_38_8) = v0 & ( ~ % 25.24/4.46 | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.46 | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | BETA: splitting (196) gives: % 25.24/4.46 | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | Case 1: % 25.24/4.46 | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | (216) all_57_0 = 0 % 25.24/4.46 | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | REDUCE: (173), (216) imply: % 25.24/4.46 | | | | | | | | | | | | | | (217) $false % 25.24/4.46 | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | CLOSE: (217) is inconsistent. % 25.24/4.46 | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | Case 2: % 25.24/4.46 | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | (218) all_53_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.46 | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.24/4.46 | | | | | | | | | | | | | | (apart_point_and_line(all_38_6, all_38_2) = v3 & % 25.24/4.46 | | | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v2 & % 25.24/4.46 | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_5) = v1 & % 25.24/4.46 | | | | | | | | | | | | | | distinct_points(all_38_8, all_38_6) = v0 & ( ~ % 25.24/4.46 | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.46 | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | BETA: splitting (197) gives: % 25.24/4.46 | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | Case 1: % 25.24/4.46 | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | (219) all_57_0 = 0 % 25.24/4.46 | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | REDUCE: (173), (219) imply: % 25.24/4.46 | | | | | | | | | | | | | | | (220) $false % 25.24/4.46 | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | CLOSE: (220) is inconsistent. % 25.24/4.46 | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | Case 2: % 25.24/4.46 | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | (221) all_53_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.46 | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.24/4.46 | | | | | | | | | | | | | | | (apart_point_and_line(all_38_6, all_38_2) = v2 & % 25.24/4.46 | | | | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v3 & % 25.24/4.46 | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.24/4.46 | | | | | | | | | | | | | | | distinct_points(all_38_6, all_38_8) = v0 & ( ~ % 25.24/4.46 | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.46 | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | BETA: splitting (193) gives: % 25.24/4.46 | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | Case 1: % 25.24/4.46 | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | (222) all_57_0 = 0 % 25.24/4.46 | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | REDUCE: (173), (222) imply: % 25.24/4.46 | | | | | | | | | | | | | | | | (223) $false % 25.24/4.46 | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | CLOSE: (223) is inconsistent. % 25.24/4.46 | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | Case 2: % 25.24/4.46 | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | (224) all_38_0 = 0 | ? [v0: any] : ? [v1: any] : % 25.24/4.46 | | | | | | | | | | | | | | | | (convergent_lines(all_38_5, all_38_2) = v1 & % 25.24/4.46 | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v0 & ( ~ % 25.24/4.46 | | | | | | | | | | | | | | | | (v0 = 0) | v1 = 0)) % 25.24/4.46 | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | BETA: splitting (195) gives: % 25.24/4.46 | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | Case 1: % 25.24/4.46 | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | (225) all_57_0 = 0 % 25.24/4.46 | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | REDUCE: (173), (225) imply: % 25.24/4.46 | | | | | | | | | | | | | | | | | (226) $false % 25.24/4.46 | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | CLOSE: (226) is inconsistent. % 25.24/4.46 | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | Case 2: % 25.24/4.46 | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | (227) all_49_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.46 | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.24/4.46 | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_6, all_38_5) = v2 & % 25.24/4.46 | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_7, all_38_5) = v3 & % 25.24/4.46 | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_5) = v1 & % 25.24/4.46 | | | | | | | | | | | | | | | | | distinct_points(all_38_6, all_38_7) = v0 & ( ~ % 25.24/4.46 | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.46 | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | BETA: splitting (201) gives: % 25.24/4.46 | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | Case 1: % 25.24/4.46 | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | (228) all_57_0 = 0 % 25.24/4.46 | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | REDUCE: (173), (228) imply: % 25.24/4.46 | | | | | | | | | | | | | | | | | | (229) $false % 25.24/4.46 | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | CLOSE: (229) is inconsistent. % 25.24/4.46 | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | Case 2: % 25.24/4.46 | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | (230) all_51_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.46 | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.24/4.46 | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_6, all_38_2) = v3 & % 25.24/4.46 | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_9, all_38_5) = v2 & % 25.24/4.46 | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.24/4.46 | | | | | | | | | | | | | | | | | | distinct_points(all_38_9, all_38_6) = v0 & ( ~ % 25.24/4.46 | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.46 | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives: % 25.24/4.46 | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | Case 1: % 25.24/4.46 | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | (231) all_57_0 = 0 % 25.24/4.46 | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | REDUCE: (173), (231) imply: % 25.24/4.46 | | | | | | | | | | | | | | | | | | | (232) $false % 25.24/4.46 | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | CLOSE: (232) is inconsistent. % 25.24/4.46 | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | Case 2: % 25.24/4.46 | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | (233) all_51_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.46 | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.24/4.46 | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_6, all_38_2) = v2 & % 25.24/4.46 | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_9, all_38_5) = v3 & % 25.24/4.46 | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.24/4.46 | | | | | | | | | | | | | | | | | | | distinct_points(all_38_6, all_38_9) = v0 & ( ~ % 25.24/4.46 | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.46 | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives: % 25.24/4.46 | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | Case 1: % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | (234) all_51_0 = 0 % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (234) imply: % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | (235) $false % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | CLOSE: (235) is inconsistent. % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | Case 2: % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | (236) all_49_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v2 & % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_9, all_38_5) = v3 & % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_5) = v1 & % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_9) = v0 & ( ~ % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives: % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | Case 1: % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | (237) all_53_0 = 0 % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (237) imply: % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | (238) $false % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | CLOSE: (238) is inconsistent. % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | Case 2: % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | (239) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_8, % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | all_38_2) = v3 & % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_2) = v2 & % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_2) = v1 & % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_8, all_38_8) = v0 & ( ~ % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (239) with fresh symbols all_245_0, % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | all_245_1, all_245_2, all_245_3 gives: % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | (240) apart_point_and_line(all_38_8, all_38_2) = % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | all_245_0 & apart_point_and_line(all_38_8, % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_245_1 & distinct_lines(all_38_2, % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_245_2 & % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_8, all_38_8) = all_245_3 & % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_245_2 = 0) | ~ (all_245_3 = 0) | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | all_245_0 = 0 | all_245_1 = 0) % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | ALPHA: (240) implies: % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | (241) apart_point_and_line(all_38_8, all_38_2) = % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | all_245_1 % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | (242) apart_point_and_line(all_38_8, all_38_2) = % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | all_245_0 % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives: % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | | (243) all_49_0 = 0 % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (243) imply: % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | | (244) $false % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (244) is inconsistent. % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.24/4.46 | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | (245) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_7, % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | all_38_5) = v3 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_7, all_38_5) = v2 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_5) = v1 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_7) = v0 & ( ~ % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (245) with fresh symbols all_260_0, % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | all_260_1, all_260_2, all_260_3 gives: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | (246) apart_point_and_line(all_38_7, all_38_5) = % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | all_260_0 & apart_point_and_line(all_38_7, % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_260_1 & distinct_lines(all_38_5, % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_260_2 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_7) = all_260_3 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_260_2 = 0) | ~ (all_260_3 = 0) | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | all_260_0 = 0 | all_260_1 = 0) % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (246) implies: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | (247) apart_point_and_line(all_38_7, all_38_5) = % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | all_260_1 % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | (248) all_53_0 = 0 % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (248) imply: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | (249) $false % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (249) is inconsistent. % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | (250) all_51_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_8, all_38_2) = v2 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_9, all_38_2) = v3 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_2) = v1 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_8, all_38_9) = v0 & ( ~ % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | (251) all_51_0 = 0 % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (251) imply: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | (252) $false % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (252) is inconsistent. % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | (253) all_38_1 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v3 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_9, all_38_2) = v2 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_2) = v1 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_9, all_38_7) = v0 & ( ~ % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | (254) all_53_0 = 0 % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (254) imply: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | (255) $false % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (255) is inconsistent. % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | (256) all_38_1 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v3 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_2) = v2 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_2) = v1 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_8, all_38_7) = v0 & ( ~ % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (257) all_53_0 = 0 % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (257) imply: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (258) $false % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (258) is inconsistent. % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (259) all_38_1 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v2 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_2) = v3 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_2) = v1 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_8) = v0 & ( ~ % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (260) all_53_0 = 0 % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (260) imply: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (261) $false % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (261) is inconsistent. % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (262) all_49_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v2 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v3 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_8) = v0 & ( ~ % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (263) all_53_0 = 0 % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (263) imply: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (264) $false % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (264) is inconsistent. % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (265) all_49_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v2 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v3 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_5) = v1 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_8) = v0 & ( ~ % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (266) all_53_0 = 0 % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (266) imply: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (267) $false % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (267) is inconsistent. % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (268) all_49_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v3 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v2 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_5) = v1 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_8, all_38_7) = v0 & ( ~ % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269) all_57_0 = 0 % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (173), (269) imply: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270) $false % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (270) is inconsistent. % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271) all_38_1 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_6, all_38_2) = v3 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_7, all_38_5) = v2 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_6) = v0 & ( ~ % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272) all_53_0 = 0 % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (272) imply: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (273) $false % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (273) is inconsistent. % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (274) all_49_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v3 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v2 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_8, all_38_7) = v0 & ( ~ % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275) all_49_0 = 0 % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (275) imply: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (276) $false % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (276) is inconsistent. % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.24/4.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (277) all_38_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_6, all_38_5) = v3 & % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_7, all_38_2) = v2 & % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_6) = v0 & ( ~ % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (278) all_51_0 = 0 % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (278) imply: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (279) $false % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (279) is inconsistent. % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (280) all_49_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v3 & % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_9, all_38_5) = v2 & % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_5) = v1 & % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_9, all_38_7) = v0 & ( ~ % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (281) all_51_0 = 0 % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (281) imply: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (282) $false % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (282) is inconsistent. % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (283) all_49_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v3 & % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_9, all_38_5) = v2 & % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_9, all_38_7) = v0 & ( ~ % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (284) all_38_0 = 0 % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (284) imply: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (285) $false % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (285) is inconsistent. % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (286) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v2 & % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_7, all_38_5) = v1 & % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v0 & ( ~ % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (286) with fresh symbols all_376_0, % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_376_1, all_376_2 gives: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (287) apart_point_and_line(all_38_7, all_38_2) = % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_376_0 & apart_point_and_line(all_38_7, % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_376_1 & distinct_lines(all_38_5, % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_376_2 & ( ~ (all_376_2 = 0) | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_376_0 = 0 | all_376_1 = 0) % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (287) implies: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (288) distinct_lines(all_38_5, all_38_2) = all_376_2 % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (289) apart_point_and_line(all_38_7, all_38_5) = % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_376_1 % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (290) apart_point_and_line(all_38_7, all_38_2) = % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_376_0 % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (291) ~ (all_376_2 = 0) | all_376_0 = 0 | all_376_1 = 0 % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (292) all_38_0 = 0 % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (292) imply: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (293) $false % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (293) is inconsistent. % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (294) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v1 & % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_7, all_38_5) = v2 & % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_5) = v0 & ( ~ % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (294) with fresh symbols all_381_0, % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_381_1, all_381_2 gives: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (295) apart_point_and_line(all_38_7, all_38_2) = % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_381_1 & apart_point_and_line(all_38_7, % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_381_0 & distinct_lines(all_38_2, % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_381_2 & ( ~ (all_381_2 = 0) | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_381_0 = 0 | all_381_1 = 0) % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (295) implies: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (296) apart_point_and_line(all_38_7, all_38_2) = % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_381_1 % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (297) all_53_0 = 0 % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (297) imply: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (298) $false % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (298) is inconsistent. % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (299) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_6, % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v3 & % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v2 & % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_8, all_38_6) = v0 & ( ~ % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (299) with fresh symbols all_386_0, % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_386_1, all_386_2, all_386_3 gives: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (300) apart_point_and_line(all_38_6, all_38_2) = % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_386_0 & apart_point_and_line(all_38_8, % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_386_1 & distinct_lines(all_38_5, % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_386_2 & % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_8, all_38_6) = all_386_3 & % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_386_2 = 0) | ~ (all_386_3 = 0) | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_386_0 = 0 | all_386_1 = 0) % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (300) implies: % 25.24/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (301) distinct_lines(all_38_5, all_38_2) = all_386_2 % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (302) apart_point_and_line(all_38_8, all_38_5) = % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_386_1 % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives: % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (303) all_53_0 = 0 % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (303) imply: % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (304) $false % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (304) is inconsistent. % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (305) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_6, % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v2 & % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v3 & % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_5) = v1 & % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_6, all_38_8) = v0 & ( ~ % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (305) with fresh symbols all_391_0, % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_391_1, all_391_2, all_391_3 gives: % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (306) apart_point_and_line(all_38_6, all_38_2) = % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_391_1 & apart_point_and_line(all_38_8, % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_391_0 & distinct_lines(all_38_2, % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_391_2 & % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_6, all_38_8) = all_391_3 & % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_391_2 = 0) | ~ (all_391_3 = 0) | % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_391_0 = 0 | all_391_1 = 0) % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (306) implies: % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (307) apart_point_and_line(all_38_8, all_38_5) = % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_391_0 % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives: % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (308) all_53_0 = 0 % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (308) imply: % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (309) $false % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (309) is inconsistent. % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (310) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_6, % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v3 & % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v2 & % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_5) = v1 & % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_8, all_38_6) = v0 & ( ~ % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (310) with fresh symbols all_396_0, % 25.45/4.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_396_1, all_396_2, all_396_3 gives: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (311) apart_point_and_line(all_38_6, all_38_2) = % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_396_0 & apart_point_and_line(all_38_8, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_396_1 & distinct_lines(all_38_2, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_396_2 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_8, all_38_6) = all_396_3 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_396_2 = 0) | ~ (all_396_3 = 0) | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_396_0 = 0 | all_396_1 = 0) % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (311) implies: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (312) apart_point_and_line(all_38_8, all_38_5) = % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_396_1 % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (313) all_53_0 = 0 % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (313) imply: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (314) $false % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (314) is inconsistent. % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (315) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_6, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v2 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v3 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_6, all_38_8) = v0 & ( ~ % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (315) with fresh symbols all_401_0, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_401_1, all_401_2, all_401_3 gives: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (316) apart_point_and_line(all_38_6, all_38_2) = % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_401_1 & apart_point_and_line(all_38_8, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_401_0 & distinct_lines(all_38_5, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_401_2 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_6, all_38_8) = all_401_3 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_401_2 = 0) | ~ (all_401_3 = 0) | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_401_0 = 0 | all_401_1 = 0) % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (316) implies: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (317) distinct_lines(all_38_5, all_38_2) = all_401_2 % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (318) apart_point_and_line(all_38_8, all_38_5) = % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_401_0 % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (319) all_38_0 = 0 % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (319) imply: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (320) $false % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (320) is inconsistent. % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (321) ? [v0: any] : ? [v1: any] : % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (convergent_lines(all_38_5, all_38_2) = v1 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v0 & ( ~ % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v1 = 0)) % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (321) with fresh symbols all_406_0, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_406_1 gives: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (322) convergent_lines(all_38_5, all_38_2) = all_406_0 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = all_406_1 & ( % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_406_1 = 0) | all_406_0 = 0) % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (322) implies: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (323) distinct_lines(all_38_5, all_38_2) = all_406_1 % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (324) all_49_0 = 0 % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (324) imply: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (325) $false % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (325) is inconsistent. % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (326) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_6, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = v2 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_7, all_38_5) = v3 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_5) = v1 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_6, all_38_7) = v0 & ( ~ % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (326) with fresh symbols all_411_0, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_411_1, all_411_2, all_411_3 gives: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (327) apart_point_and_line(all_38_6, all_38_5) = % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_411_1 & apart_point_and_line(all_38_7, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_411_0 & distinct_lines(all_38_5, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_411_2 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_6, all_38_7) = all_411_3 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_411_2 = 0) | ~ (all_411_3 = 0) | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_411_0 = 0 | all_411_1 = 0) % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (327) implies: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (328) apart_point_and_line(all_38_7, all_38_5) = % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_411_0 % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (329) all_51_0 = 0 % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (329) imply: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (330) $false % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (330) is inconsistent. % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (331) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_6, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v3 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_9, all_38_5) = v2 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_9, all_38_6) = v0 & ( ~ % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (331) with fresh symbols all_426_0, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_426_1, all_426_2, all_426_3 gives: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (332) apart_point_and_line(all_38_6, all_38_2) = % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_426_0 & apart_point_and_line(all_38_9, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_426_1 & distinct_lines(all_38_5, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_426_2 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_9, all_38_6) = all_426_3 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_426_2 = 0) | ~ (all_426_3 = 0) | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_426_0 = 0 | all_426_1 = 0) % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (332) implies: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (333) distinct_lines(all_38_5, all_38_2) = all_426_2 % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (334) all_51_0 = 0 % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (334) imply: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (335) $false % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (335) is inconsistent. % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (336) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_6, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v2 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_9, all_38_5) = v3 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_6, all_38_9) = v0 & ( ~ % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (336) with fresh symbols all_431_0, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_431_1, all_431_2, all_431_3 gives: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (337) apart_point_and_line(all_38_6, all_38_2) = % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_431_1 & apart_point_and_line(all_38_9, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_431_0 & distinct_lines(all_38_5, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_431_2 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_6, all_38_9) = all_431_3 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_431_2 = 0) | ~ (all_431_3 = 0) | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_431_0 = 0 | all_431_1 = 0) % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (337) implies: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (338) distinct_lines(all_38_5, all_38_2) = all_431_2 % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (339) all_49_0 = 0 % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (339) imply: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (340) $false % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (340) is inconsistent. % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (341) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_7, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v2 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_9, all_38_5) = v3 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_5) = v1 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_9) = v0 & ( ~ % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (341) with fresh symbols all_436_0, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_436_1, all_436_2, all_436_3 gives: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (342) apart_point_and_line(all_38_7, all_38_2) = % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_436_1 & apart_point_and_line(all_38_9, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_436_0 & distinct_lines(all_38_2, % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_436_2 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_9) = all_436_3 & % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_436_2 = 0) | ~ (all_436_3 = 0) | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_436_0 = 0 | all_436_1 = 0) % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (342) implies: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (343) apart_point_and_line(all_38_7, all_38_2) = % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_436_1 % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (344) all_51_0 = 0 % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (344) imply: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (345) $false % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (345) is inconsistent. % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (346) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_8, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v2 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_9, all_38_2) = v3 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_2) = v1 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_8, all_38_9) = v0 & ( ~ % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (346) with fresh symbols all_442_0, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_442_1, all_442_2, all_442_3 gives: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (347) apart_point_and_line(all_38_8, all_38_2) = % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_442_1 & apart_point_and_line(all_38_9, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_442_0 & distinct_lines(all_38_2, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_442_2 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_8, all_38_9) = all_442_3 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_442_2 = 0) | ~ (all_442_3 = 0) | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_442_0 = 0 | all_442_1 = 0) % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (347) implies: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (348) apart_point_and_line(all_38_8, all_38_2) = % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_442_1 % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (349) all_38_1 = 0 % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (349) imply: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350) $false % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (350) is inconsistent. % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (351) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_7, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v3 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_9, all_38_2) = v2 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_2) = v1 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_9, all_38_7) = v0 & ( ~ % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (351) with fresh symbols all_447_0, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_447_1, all_447_2, all_447_3 gives: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (352) apart_point_and_line(all_38_7, all_38_2) = % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_447_0 & apart_point_and_line(all_38_9, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_447_1 & distinct_lines(all_38_2, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_447_2 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_9, all_38_7) = all_447_3 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_447_2 = 0) | ~ (all_447_3 = 0) | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_447_0 = 0 | all_447_1 = 0) % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (352) implies: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (353) apart_point_and_line(all_38_7, all_38_2) = % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_447_0 % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (354) all_38_1 = 0 % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (354) imply: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355) $false % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (355) is inconsistent. % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (356) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_7, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v3 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_2) = v2 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_2) = v1 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_8, all_38_7) = v0 & ( ~ % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (356) with fresh symbols all_452_0, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_452_1, all_452_2, all_452_3 gives: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (357) apart_point_and_line(all_38_7, all_38_2) = % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_452_0 & apart_point_and_line(all_38_8, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_452_1 & distinct_lines(all_38_2, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_452_2 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_8, all_38_7) = all_452_3 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_452_2 = 0) | ~ (all_452_3 = 0) | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_452_0 = 0 | all_452_1 = 0) % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (357) implies: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358) apart_point_and_line(all_38_8, all_38_2) = % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_452_1 % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (359) apart_point_and_line(all_38_7, all_38_2) = % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_452_0 % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (360) all_38_1 = 0 % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (360) imply: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (361) $false % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (361) is inconsistent. % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_7, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v2 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_2) = v3 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_2) = v1 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_8) = v0 & ( ~ % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (362) with fresh symbols all_457_0, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_457_1, all_457_2, all_457_3 gives: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363) apart_point_and_line(all_38_7, all_38_2) = % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_457_1 & apart_point_and_line(all_38_8, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_457_0 & distinct_lines(all_38_2, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_457_2 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_8) = all_457_3 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_457_2 = 0) | ~ (all_457_3 = 0) | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_457_0 = 0 | all_457_1 = 0) % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (363) implies: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (364) apart_point_and_line(all_38_8, all_38_2) = % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_457_0 % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (365) apart_point_and_line(all_38_7, all_38_2) = % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_457_1 % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (366) all_49_0 = 0 % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (366) imply: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (367) $false % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (367) is inconsistent. % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (368) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_7, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v2 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v3 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_8) = v0 & ( ~ % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (368) with fresh symbols all_462_0, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_462_1, all_462_2, all_462_3 gives: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (369) apart_point_and_line(all_38_7, all_38_2) = % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_462_1 & apart_point_and_line(all_38_8, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_462_0 & distinct_lines(all_38_5, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_462_2 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_8) = all_462_3 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_462_2 = 0) | ~ (all_462_3 = 0) | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_462_0 = 0 | all_462_1 = 0) % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (369) implies: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370) distinct_lines(all_38_5, all_38_2) = all_462_2 % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (371) apart_point_and_line(all_38_8, all_38_5) = % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_462_0 % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (372) apart_point_and_line(all_38_7, all_38_2) = % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_462_1 % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373) all_49_0 = 0 % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (373) imply: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374) $false % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (374) is inconsistent. % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (375) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_7, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v2 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v3 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_5) = v1 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_8) = v0 & ( ~ % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (375) with fresh symbols all_467_0, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_467_1, all_467_2, all_467_3 gives: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376) apart_point_and_line(all_38_7, all_38_2) = % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_467_1 & apart_point_and_line(all_38_8, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_467_0 & distinct_lines(all_38_2, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_467_2 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_8) = all_467_3 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_467_2 = 0) | ~ (all_467_3 = 0) | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_467_0 = 0 | all_467_1 = 0) % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (376) implies: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (377) apart_point_and_line(all_38_8, all_38_5) = % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_467_0 % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (378) apart_point_and_line(all_38_7, all_38_2) = % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_467_1 % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (379) all_49_0 = 0 % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (379) imply: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (380) $false % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (380) is inconsistent. % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (381) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_7, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v3 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v2 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_5) = v1 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_8, all_38_7) = v0 & ( ~ % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (381) with fresh symbols all_472_0, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_472_1, all_472_2, all_472_3 gives: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (382) apart_point_and_line(all_38_7, all_38_2) = % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_472_0 & apart_point_and_line(all_38_8, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_472_1 & distinct_lines(all_38_2, % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_472_2 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_8, all_38_7) = all_472_3 & % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_472_2 = 0) | ~ (all_472_3 = 0) | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_472_0 = 0 | all_472_1 = 0) % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (382) implies: % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (383) apart_point_and_line(all_38_8, all_38_5) = % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_472_1 % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384) apart_point_and_line(all_38_7, all_38_2) = % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_472_0 % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (385) all_49_0 = 0 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (385) imply: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386) $false % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (386) is inconsistent. % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_7, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v3 & % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_5) = v2 & % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_8, all_38_7) = v0 & ( ~ % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (387) with fresh symbols all_477_0, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_477_1, all_477_2, all_477_3 gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (388) apart_point_and_line(all_38_7, all_38_2) = % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_477_0 & apart_point_and_line(all_38_8, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_477_1 & distinct_lines(all_38_5, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_477_2 & % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_8, all_38_7) = all_477_3 & % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_477_2 = 0) | ~ (all_477_3 = 0) | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_477_0 = 0 | all_477_1 = 0) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (388) implies: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389) distinct_lines(all_38_5, all_38_2) = all_477_2 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (390) apart_point_and_line(all_38_8, all_38_5) = % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_477_1 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391) apart_point_and_line(all_38_7, all_38_2) = % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_477_0 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (392) all_49_0 = 0 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (392) imply: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (393) $false % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (393) is inconsistent. % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (394) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_7, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v3 & % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_9, all_38_5) = v2 & % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_5) = v1 & % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_9, all_38_7) = v0 & ( ~ % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (394) with fresh symbols all_482_0, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_482_1, all_482_2, all_482_3 gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (395) apart_point_and_line(all_38_7, all_38_2) = % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_482_0 & apart_point_and_line(all_38_9, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_482_1 & distinct_lines(all_38_2, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_482_2 & % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_9, all_38_7) = all_482_3 & % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_482_2 = 0) | ~ (all_482_3 = 0) | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_482_0 = 0 | all_482_1 = 0) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (395) implies: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (396) apart_point_and_line(all_38_7, all_38_2) = % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_482_0 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (397) all_49_0 = 0 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (397) imply: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (398) $false % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (398) is inconsistent. % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (399) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_7, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v3 & % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_9, all_38_5) = v2 & % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_9, all_38_7) = v0 & ( ~ % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (399) with fresh symbols all_487_0, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_487_1, all_487_2, all_487_3 gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (400) apart_point_and_line(all_38_7, all_38_2) = % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_487_0 & apart_point_and_line(all_38_9, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_487_1 & distinct_lines(all_38_5, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_487_2 & % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_9, all_38_7) = all_487_3 & % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_487_2 = 0) | ~ (all_487_3 = 0) | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_487_0 = 0 | all_487_1 = 0) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (400) implies: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (401) distinct_lines(all_38_5, all_38_2) = all_487_2 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (402) apart_point_and_line(all_38_7, all_38_2) = % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_487_0 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_406_1, all_431_2, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (323), (338) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (403) all_431_2 = all_406_1 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_386_2, all_431_2, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (301), (338) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (404) all_431_2 = all_386_2 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_431_2, all_462_2, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (338), (370) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (405) all_462_2 = all_431_2 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_431_2, all_477_2, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (338), (389) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (406) all_477_2 = all_431_2 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_401_2, all_477_2, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (317), (389) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407) all_477_2 = all_401_2 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_376_2, all_477_2, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (288), (389) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408) all_477_2 = all_376_2 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_462_2, all_487_2, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (370), (401) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (409) all_487_2 = all_462_2 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_426_2, all_487_2, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (333), (401) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (410) all_487_2 = all_426_2 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_386_1, all_391_0, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5, all_38_8, simplifying with (302), (307) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (411) all_391_0 = all_386_1 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with 0, all_462_0, all_38_5, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_8, simplifying with (203), (371) gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (412) all_462_0 = 0 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_462_0, all_467_0, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5, all_38_8, simplifying with (371), (377) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (413) all_467_0 = all_462_0 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_401_0, all_467_0, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5, all_38_8, simplifying with (318), (377) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414) all_467_0 = all_401_0 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_472_1, all_477_1, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5, all_38_8, simplifying with (383), (390) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (415) all_477_1 = all_472_1 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_462_0, all_477_1, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5, all_38_8, simplifying with (371), (390) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (416) all_477_1 = all_462_0 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_396_1, all_477_1, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5, all_38_8, simplifying with (312), (390) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (417) all_477_1 = all_396_1 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_391_0, all_477_1, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5, all_38_8, simplifying with (307), (390) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (418) all_477_1 = all_391_0 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_53_0, all_442_1, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_8, simplifying with (58), (348) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (419) all_442_1 = all_53_0 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_245_0, all_442_1, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_8, simplifying with (242), (348) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (420) all_442_1 = all_245_0 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_245_0, all_452_1, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_8, simplifying with (242), (358) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (421) all_452_1 = all_245_0 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_452_1, all_457_0, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_8, simplifying with (358), (364) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (422) all_457_0 = all_452_1 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_245_1, all_457_0, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_8, simplifying with (241), (364) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (423) all_457_0 = all_245_1 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_49_0, all_376_1, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5, all_38_7, simplifying with (54), (289) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (424) all_376_1 = all_49_0 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_376_1, all_411_0, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5, all_38_7, simplifying with (289), (328) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (425) all_411_0 = all_376_1 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_260_1, all_411_0, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5, all_38_7, simplifying with (247), (328) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (426) all_411_0 = all_260_1 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_38_1, all_436_1, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_7, simplifying with (30), (343) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (427) all_436_1 = all_38_1 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_436_1, all_452_0, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_7, simplifying with (343), (359) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (428) all_452_0 = all_436_1 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_452_0, all_457_1, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_7, simplifying with (359), (365) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (429) all_457_1 = all_452_0 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_462_1, all_472_0, % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_7, simplifying with (372), (384) % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (430) all_472_0 = all_462_1 % 25.45/4.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_457_1, all_472_0, % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_7, simplifying with (365), (384) % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (431) all_472_0 = all_457_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_472_0, all_477_0, % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_7, simplifying with (384), (391) % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (432) all_477_0 = all_472_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_467_1, all_482_0, % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_7, simplifying with (378), (396) % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (433) all_482_0 = all_467_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_447_0, all_482_0, % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_7, simplifying with (353), (396) % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (434) all_482_0 = all_447_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_436_1, all_482_0, % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_7, simplifying with (343), (396) % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (435) all_482_0 = all_436_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_381_1, all_482_0, % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_7, simplifying with (296), (396) % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (436) all_482_0 = all_381_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_477_0, all_487_0, % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_7, simplifying with (391), (402) % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (437) all_487_0 = all_477_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_376_0, all_487_0, % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_7, simplifying with (290), (402) % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (438) all_487_0 = all_376_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (437), (438) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (439) all_477_0 = all_376_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (439) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440) all_477_0 = all_376_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (410) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441) all_462_2 = all_426_2 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (441) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (442) all_462_2 = all_426_2 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (433), (436) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (443) all_467_1 = all_381_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (433), (435) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (444) all_467_1 = all_436_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (433), (434) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (445) all_467_1 = all_447_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (440) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (446) all_472_0 = all_376_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (446) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (447) all_472_0 = all_376_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (418) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (448) all_472_1 = all_391_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (416) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (449) all_472_1 = all_462_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (417) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450) all_472_1 = all_396_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (407) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451) all_431_2 = all_401_2 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (451) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (452) all_431_2 = all_401_2 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (408) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (453) all_401_2 = all_376_2 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (431) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (454) all_462_1 = all_457_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (447) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455) all_462_1 = all_376_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (450) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (456) all_396_1 = all_391_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (450) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (457) all_462_0 = all_396_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (457) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (458) all_462_0 = all_396_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (414) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (459) all_462_0 = all_401_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (459) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (460) all_462_0 = all_401_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (443), (445) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (461) all_447_0 = all_381_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (445) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (462) all_447_0 = all_436_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (460) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463) all_401_0 = all_396_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (460) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (464) all_401_0 = 0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (455) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (465) all_457_1 = all_376_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (465) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (466) all_457_1 = all_376_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (442) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (467) all_431_2 = all_426_2 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (467) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (468) all_431_2 = all_426_2 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (423) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (469) all_452_1 = all_245_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (469) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (470) all_452_1 = all_245_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (466) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (471) all_452_0 = all_376_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (471) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472) all_452_0 = all_376_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (428), (472) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (473) all_436_1 = all_376_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (473) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (474) all_436_1 = all_376_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (470) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (475) all_245_0 = all_245_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (475) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (476) all_245_0 = all_245_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (462) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (477) all_436_1 = all_381_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (477) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (478) all_436_1 = all_381_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (419), (420) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (479) all_245_0 = all_53_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (479) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (480) all_245_0 = all_53_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (427), (478) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (481) all_381_1 = all_38_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (478) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (482) all_381_1 = all_376_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (468) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (483) all_426_2 = all_406_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (468) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (484) all_426_2 = all_401_2 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (404), (468) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (485) all_426_2 = all_386_2 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (485) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (486) all_406_1 = all_386_2 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (484) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (487) all_406_1 = all_401_2 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (426) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (488) all_376_1 = all_260_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (488) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (489) all_376_1 = all_260_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (487) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (490) all_401_2 = all_386_2 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (490) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (491) all_401_2 = all_386_2 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (464) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (492) all_396_1 = 0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (492) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (493) all_396_1 = 0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (491) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (494) all_386_2 = all_376_2 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (494) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (495) all_386_2 = all_376_2 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (493) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (496) all_391_0 = 0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (496) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (497) all_391_0 = 0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (497) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (498) all_386_1 = 0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (498) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (499) all_386_1 = 0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (482) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (500) all_376_0 = all_38_1 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (489) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (501) all_260_1 = all_49_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (476), (480) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (502) all_245_1 = all_53_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (502) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (503) all_245_1 = all_53_0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (504) all_38_0 = 0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (504) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (505) $false % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (505) is inconsistent. % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_6, % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = v3 & % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_7, all_38_2) = v2 & % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_6) = v0 & ( ~ % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (506) with fresh symbols all_513_0, % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_513_1, all_513_2, all_513_3 gives: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (507) apart_point_and_line(all_38_6, all_38_5) = % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_513_0 & apart_point_and_line(all_38_7, % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_513_1 & distinct_lines(all_38_5, % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_513_2 & % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_6) = all_513_3 & % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_513_2 = 0) | ~ (all_513_3 = 0) | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_513_0 = 0 | all_513_1 = 0) % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (507) implies: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (508) distinct_lines(all_38_5, all_38_2) = all_513_2 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (509) all_38_1 = 0 % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (509) imply: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (510) $false % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (510) is inconsistent. % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (511) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_6, % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = v3 & % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_7, all_38_5) = v2 & % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_6) = v0 & ( ~ % 25.45/4.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (511) with fresh symbols all_523_0, % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_523_1, all_523_2, all_523_3 gives: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512) apart_point_and_line(all_38_6, all_38_2) = % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_523_0 & apart_point_and_line(all_38_7, % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_523_1 & distinct_lines(all_38_5, % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = all_523_2 & % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_6) = all_523_3 & % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_523_2 = 0) | ~ (all_523_3 = 0) | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_523_0 = 0 | all_523_1 = 0) % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (512) implies: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (513) distinct_lines(all_38_5, all_38_2) = all_523_2 % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514) ~ (all_376_2 = 0) % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_376_2, all_523_2, % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (288), (513) % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515) all_523_2 = all_376_2 % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_513_2, all_523_2, % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (508), (513) % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516) all_523_2 = all_513_2 % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (516) imply: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (517) all_513_2 = all_376_2 % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_38_8, all_38_5, % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_376_2, simplifying with (21), (24), % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (25), (203), (288) gives: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518) all_376_2 = 0 | apart_point_and_line(all_38_8, % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2) = 0 % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (518) gives: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (519) apart_point_and_line(all_38_8, all_38_2) = 0 % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_53_0, 0, all_38_2, % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_8, simplifying with (58), (519) gives: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (520) all_53_0 = 0 % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (520) imply: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521) $false % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (521) is inconsistent. % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (522) all_376_2 = 0 % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (514), (522) imply: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (523) $false % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (523) is inconsistent. % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (524) all_376_0 = 0 | all_376_1 = 0 % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (524) gives: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (525) all_376_0 = 0 % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (525) imply: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (526) all_38_1 = 0 % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (526) implies: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (527) all_38_1 = 0 % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (527) imply: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528) $false % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (528) is inconsistent. % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529) all_376_1 = 0 % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (529) imply: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (530) all_49_0 = 0 % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (530) implies: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (531) all_49_0 = 0 % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (531) imply: % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532) $false % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (532) is inconsistent. % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | | % 25.45/4.53 | | | | | | | | | End of split % 25.45/4.53 | | | | | | | | | % 25.45/4.53 | | | | | | | | Case 2: % 25.45/4.53 | | | | | | | | | % 25.45/4.53 | | | | | | | | | (533) all_38_4 = 0 % 25.45/4.53 | | | | | | | | | (534) ~ (all_38_3 = 0) % 25.45/4.53 | | | | | | | | | % 25.45/4.53 | | | | | | | | | REDUCE: (28), (533) imply: % 25.45/4.53 | | | | | | | | | (535) apart_point_and_line(all_38_9, all_38_5) = 0 % 25.45/4.53 | | | | | | | | | % 25.45/4.53 | | | | | | | | | BETA: splitting (43) gives: % 25.45/4.53 | | | | | | | | | % 25.45/4.53 | | | | | | | | | Case 1: % 25.45/4.53 | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | (536) all_38_1 = 0 % 25.45/4.53 | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | REDUCE: (18), (536) imply: % 25.45/4.53 | | | | | | | | | | (537) $false % 25.45/4.53 | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | CLOSE: (537) is inconsistent. % 25.45/4.53 | | | | | | | | | | % 25.45/4.53 | | | | | | | | | Case 2: % 25.45/4.53 | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | (538) all_38_3 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.45/4.53 | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.45/4.53 | | | | | | | | | | (apart_point_and_line(all_38_7, all_38_5) = v2 & % 25.45/4.53 | | | | | | | | | | apart_point_and_line(all_38_8, all_38_2) = v3 & % 25.45/4.53 | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.45/4.53 | | | | | | | | | | distinct_points(all_38_7, all_38_8) = v0 & ( ~ % 25.45/4.53 | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.53 | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | BETA: splitting (192) gives: % 25.45/4.53 | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | Case 1: % 25.45/4.53 | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | (539) all_57_0 = 0 % 25.45/4.53 | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | REDUCE: (173), (539) imply: % 25.45/4.53 | | | | | | | | | | | (540) $false % 25.45/4.53 | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | CLOSE: (540) is inconsistent. % 25.45/4.53 | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | Case 2: % 25.45/4.53 | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | (541) all_38_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.45/4.53 | | | | | | | | | | | [v2: any] : (apart_point_and_line(all_38_7, % 25.45/4.53 | | | | | | | | | | | all_38_2) = v2 & % 25.45/4.53 | | | | | | | | | | | apart_point_and_line(all_38_7, all_38_5) = v1 & % 25.45/4.53 | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v0 & ( ~ % 25.45/4.53 | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 25.45/4.53 | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | BETA: splitting (194) gives: % 25.45/4.53 | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | Case 1: % 25.45/4.53 | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | (542) all_57_0 = 0 % 25.45/4.53 | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | REDUCE: (173), (542) imply: % 25.45/4.53 | | | | | | | | | | | | (543) $false % 25.45/4.53 | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | CLOSE: (543) is inconsistent. % 25.45/4.53 | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | Case 2: % 25.45/4.53 | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | (544) all_38_1 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.45/4.53 | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.45/4.53 | | | | | | | | | | | | (apart_point_and_line(all_38_6, all_38_2) = v3 & % 25.45/4.53 | | | | | | | | | | | | apart_point_and_line(all_38_7, all_38_5) = v2 & % 25.45/4.53 | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.45/4.53 | | | | | | | | | | | | distinct_points(all_38_7, all_38_6) = v0 & ( ~ % 25.45/4.53 | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.53 | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | BETA: splitting (180) gives: % 25.45/4.53 | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | Case 1: % 25.45/4.53 | | | | | | | | | | | | | % 25.45/4.53 | | | | | | | | | | | | | (545) all_49_0 = 0 % 25.45/4.54 | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | REDUCE: (174), (545) imply: % 25.45/4.54 | | | | | | | | | | | | | (546) $false % 25.45/4.54 | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | CLOSE: (546) is inconsistent. % 25.45/4.54 | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | Case 2: % 25.45/4.54 | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | (547) all_38_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.45/4.54 | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 25.45/4.54 | | | | | | | | | | | | | (apart_point_and_line(all_38_6, all_38_5) = v3 & % 25.45/4.54 | | | | | | | | | | | | | apart_point_and_line(all_38_7, all_38_2) = v2 & % 25.45/4.54 | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.45/4.54 | | | | | | | | | | | | | distinct_points(all_38_7, all_38_6) = v0 & ( ~ % 25.45/4.54 | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.54 | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | BETA: splitting (181) gives: % 25.45/4.54 | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | Case 1: % 25.45/4.54 | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | (548) all_49_0 = 0 % 25.45/4.54 | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | REDUCE: (174), (548) imply: % 25.45/4.54 | | | | | | | | | | | | | | (549) $false % 25.45/4.54 | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | CLOSE: (549) is inconsistent. % 25.45/4.54 | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | Case 2: % 25.45/4.54 | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | (550) all_38_1 = 0 | ? [v0: any] : ? [v1: any] : ? % 25.45/4.54 | | | | | | | | | | | | | | [v2: any] : (apart_point_and_line(all_38_6, % 25.45/4.54 | | | | | | | | | | | | | | all_38_2) = v2 & % 25.45/4.54 | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_5) = v1 & % 25.45/4.54 | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v0 & ( ~ % 25.45/4.54 | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 25.45/4.54 | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | BETA: splitting (538) gives: % 25.45/4.54 | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | Case 1: % 25.45/4.54 | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | (551) all_38_3 = 0 % 25.45/4.54 | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | REDUCE: (534), (551) imply: % 25.45/4.54 | | | | | | | | | | | | | | | (552) $false % 25.45/4.54 | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | CLOSE: (552) is inconsistent. % 25.45/4.54 | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | Case 2: % 25.45/4.54 | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | (553) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.54 | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_7, % 25.45/4.54 | | | | | | | | | | | | | | | all_38_5) = v2 & % 25.45/4.54 | | | | | | | | | | | | | | | apart_point_and_line(all_38_8, all_38_2) = v3 & % 25.45/4.54 | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.45/4.54 | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_8) = v0 & ( ~ % 25.45/4.54 | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.54 | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | DELTA: instantiating (553) with fresh symbols all_434_0, % 25.45/4.54 | | | | | | | | | | | | | | | all_434_1, all_434_2, all_434_3 gives: % 25.45/4.54 | | | | | | | | | | | | | | | (554) apart_point_and_line(all_38_7, all_38_5) = % 25.45/4.54 | | | | | | | | | | | | | | | all_434_1 & apart_point_and_line(all_38_8, % 25.45/4.54 | | | | | | | | | | | | | | | all_38_2) = all_434_0 & distinct_lines(all_38_5, % 25.45/4.54 | | | | | | | | | | | | | | | all_38_2) = all_434_2 & % 25.45/4.54 | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_8) = all_434_3 & % 25.45/4.54 | | | | | | | | | | | | | | | ( ~ (all_434_2 = 0) | ~ (all_434_3 = 0) | % 25.45/4.54 | | | | | | | | | | | | | | | all_434_0 = 0 | all_434_1 = 0) % 25.45/4.54 | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | ALPHA: (554) implies: % 25.45/4.54 | | | | | | | | | | | | | | | (555) distinct_lines(all_38_5, all_38_2) = all_434_2 % 25.45/4.54 | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | BETA: splitting (550) gives: % 25.45/4.54 | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | Case 1: % 25.45/4.54 | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | (556) all_38_1 = 0 % 25.45/4.54 | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | REDUCE: (18), (556) imply: % 25.45/4.54 | | | | | | | | | | | | | | | | (557) $false % 25.45/4.54 | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | CLOSE: (557) is inconsistent. % 25.45/4.54 | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | Case 2: % 25.45/4.54 | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | (558) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 25.45/4.54 | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_6, all_38_2) = v2 & % 25.45/4.54 | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_5) = v1 & % 25.45/4.54 | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v0 & ( ~ % 25.45/4.54 | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 25.45/4.54 | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | DELTA: instantiating (558) with fresh symbols all_579_0, % 25.45/4.54 | | | | | | | | | | | | | | | | all_579_1, all_579_2 gives: % 25.45/4.54 | | | | | | | | | | | | | | | | (559) apart_point_and_line(all_38_6, all_38_2) = % 25.45/4.54 | | | | | | | | | | | | | | | | all_579_0 & apart_point_and_line(all_38_6, % 25.45/4.54 | | | | | | | | | | | | | | | | all_38_5) = all_579_1 & distinct_lines(all_38_5, % 25.45/4.54 | | | | | | | | | | | | | | | | all_38_2) = all_579_2 & ( ~ (all_579_2 = 0) | % 25.45/4.54 | | | | | | | | | | | | | | | | all_579_0 = 0 | all_579_1 = 0) % 25.45/4.54 | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | ALPHA: (559) implies: % 25.45/4.54 | | | | | | | | | | | | | | | | (560) distinct_lines(all_38_5, all_38_2) = all_579_2 % 25.45/4.54 | | | | | | | | | | | | | | | | (561) apart_point_and_line(all_38_6, all_38_5) = % 25.45/4.54 | | | | | | | | | | | | | | | | all_579_1 % 25.45/4.54 | | | | | | | | | | | | | | | | (562) apart_point_and_line(all_38_6, all_38_2) = % 25.45/4.54 | | | | | | | | | | | | | | | | all_579_0 % 25.45/4.54 | | | | | | | | | | | | | | | | (563) ~ (all_579_2 = 0) | all_579_0 = 0 | all_579_1 = 0 % 25.45/4.54 | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | BETA: splitting (182) gives: % 25.45/4.54 | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | Case 1: % 25.45/4.54 | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | (564) all_49_0 = 0 % 25.45/4.54 | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | REDUCE: (174), (564) imply: % 25.45/4.54 | | | | | | | | | | | | | | | | | (565) $false % 25.45/4.54 | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | CLOSE: (565) is inconsistent. % 25.45/4.54 | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | Case 2: % 25.45/4.54 | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | (566) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 25.45/4.54 | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_6, all_38_5) = v2 & % 25.45/4.54 | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_6, all_38_5) = v1 & % 25.45/4.54 | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_5) = v0 & ( ~ % 25.45/4.54 | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 25.45/4.54 | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | DELTA: instantiating (566) with fresh symbols all_589_0, % 25.45/4.54 | | | | | | | | | | | | | | | | | all_589_1, all_589_2 gives: % 25.45/4.54 | | | | | | | | | | | | | | | | | (567) apart_point_and_line(all_38_6, all_38_5) = % 25.45/4.54 | | | | | | | | | | | | | | | | | all_589_0 & apart_point_and_line(all_38_6, % 25.45/4.54 | | | | | | | | | | | | | | | | | all_38_5) = all_589_1 & distinct_lines(all_38_5, % 25.45/4.54 | | | | | | | | | | | | | | | | | all_38_5) = all_589_2 & ( ~ (all_589_2 = 0) | % 25.45/4.54 | | | | | | | | | | | | | | | | | all_589_0 = 0 | all_589_1 = 0) % 25.45/4.54 | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | ALPHA: (567) implies: % 25.45/4.54 | | | | | | | | | | | | | | | | | (568) apart_point_and_line(all_38_6, all_38_5) = % 25.45/4.54 | | | | | | | | | | | | | | | | | all_589_1 % 25.45/4.54 | | | | | | | | | | | | | | | | | (569) apart_point_and_line(all_38_6, all_38_5) = % 25.45/4.54 | | | | | | | | | | | | | | | | | all_589_0 % 25.45/4.54 | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | BETA: splitting (544) gives: % 25.45/4.54 | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.54 | | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | | (570) all_38_1 = 0 % 25.45/4.54 | | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | | REDUCE: (18), (570) imply: % 25.45/4.54 | | | | | | | | | | | | | | | | | | (571) $false % 25.45/4.54 | | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | | CLOSE: (571) is inconsistent. % 25.45/4.54 | | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.54 | | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | | (572) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.54 | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_6, % 25.45/4.54 | | | | | | | | | | | | | | | | | | all_38_2) = v3 & % 25.45/4.54 | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_7, all_38_5) = v2 & % 25.45/4.54 | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.45/4.54 | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_6) = v0 & ( ~ % 25.45/4.54 | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.54 | | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | | DELTA: instantiating (572) with fresh symbols all_603_0, % 25.45/4.54 | | | | | | | | | | | | | | | | | | all_603_1, all_603_2, all_603_3 gives: % 25.45/4.54 | | | | | | | | | | | | | | | | | | (573) apart_point_and_line(all_38_6, all_38_2) = % 25.45/4.54 | | | | | | | | | | | | | | | | | | all_603_0 & apart_point_and_line(all_38_7, % 25.45/4.54 | | | | | | | | | | | | | | | | | | all_38_5) = all_603_1 & distinct_lines(all_38_5, % 25.45/4.54 | | | | | | | | | | | | | | | | | | all_38_2) = all_603_2 & % 25.45/4.54 | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_6) = all_603_3 & % 25.45/4.54 | | | | | | | | | | | | | | | | | | ( ~ (all_603_2 = 0) | ~ (all_603_3 = 0) | % 25.45/4.54 | | | | | | | | | | | | | | | | | | all_603_0 = 0 | all_603_1 = 0) % 25.45/4.54 | | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | | ALPHA: (573) implies: % 25.45/4.54 | | | | | | | | | | | | | | | | | | (574) distinct_lines(all_38_5, all_38_2) = all_603_2 % 25.45/4.54 | | | | | | | | | | | | | | | | | | (575) apart_point_and_line(all_38_6, all_38_2) = % 25.45/4.54 | | | | | | | | | | | | | | | | | | all_603_0 % 25.45/4.54 | | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | | BETA: splitting (547) gives: % 25.45/4.54 | | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | | Case 1: % 25.45/4.54 | | | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | | | (576) all_38_0 = 0 % 25.45/4.54 | | | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | | | REDUCE: (19), (576) imply: % 25.45/4.54 | | | | | | | | | | | | | | | | | | | (577) $false % 25.45/4.54 | | | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | | | CLOSE: (577) is inconsistent. % 25.45/4.54 | | | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | | Case 2: % 25.45/4.54 | | | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | | | (578) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 25.45/4.54 | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_6, % 25.45/4.54 | | | | | | | | | | | | | | | | | | | all_38_5) = v3 & % 25.45/4.54 | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_7, all_38_2) = v2 & % 25.45/4.54 | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v1 & % 25.45/4.54 | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_6) = v0 & ( ~ % 25.45/4.54 | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 25.45/4.54 | | | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (578) with fresh symbols all_613_0, % 25.45/4.54 | | | | | | | | | | | | | | | | | | | all_613_1, all_613_2, all_613_3 gives: % 25.45/4.54 | | | | | | | | | | | | | | | | | | | (579) apart_point_and_line(all_38_6, all_38_5) = % 25.45/4.54 | | | | | | | | | | | | | | | | | | | all_613_0 & apart_point_and_line(all_38_7, % 25.45/4.54 | | | | | | | | | | | | | | | | | | | all_38_2) = all_613_1 & distinct_lines(all_38_5, % 25.45/4.54 | | | | | | | | | | | | | | | | | | | all_38_2) = all_613_2 & % 25.45/4.54 | | | | | | | | | | | | | | | | | | | distinct_points(all_38_7, all_38_6) = all_613_3 & % 25.45/4.54 | | | | | | | | | | | | | | | | | | | ( ~ (all_613_2 = 0) | ~ (all_613_3 = 0) | % 25.45/4.54 | | | | | | | | | | | | | | | | | | | all_613_0 = 0 | all_613_1 = 0) % 25.45/4.54 | | | | | | | | | | | | | | | | | | | % 25.45/4.54 | | | | | | | | | | | | | | | | | | | ALPHA: (579) implies: % 25.45/4.54 | | | | | | | | | | | | | | | | | | | (580) distinct_lines(all_38_5, all_38_2) = all_613_2 % 25.45/4.54 | | | | | | | | | | | | | | | | | | | (581) apart_point_and_line(all_38_6, all_38_5) = % 25.45/4.54 | | | | | | | | | | | | | | | | | | | all_613_0 % 25.45/4.54 | | | | | | | | | | | | | | | | | | | (582) ~ (all_613_2 = 0) | ~ (all_613_3 = 0) | % 25.45/4.54 | | | | | | | | | | | | | | | | | | | all_613_0 = 0 | all_613_1 = 0 % 25.45/4.54 | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (541) gives: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | Case 1: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (583) all_38_0 = 0 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (583) imply: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (584) $false % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | CLOSE: (584) is inconsistent. % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | Case 2: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (585) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_7, all_38_2) = v2 & % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_7, all_38_5) = v1 & % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_2) = v0 & ( ~ % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (585) with fresh symbols all_619_0, % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | all_619_1, all_619_2 gives: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (586) apart_point_and_line(all_38_7, all_38_2) = % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | all_619_0 & apart_point_and_line(all_38_7, % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | all_38_5) = all_619_1 & distinct_lines(all_38_5, % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | all_38_2) = all_619_2 & ( ~ (all_619_2 = 0) | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | all_619_0 = 0 | all_619_1 = 0) % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | ALPHA: (586) implies: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (587) distinct_lines(all_38_5, all_38_2) = all_619_2 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_434_2, all_603_2, % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (555), (574) % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | gives: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (588) all_603_2 = all_434_2 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_613_2, all_619_2, % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (580), (587) % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | gives: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (589) all_619_2 = all_613_2 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_603_2, all_619_2, % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (574), (587) % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | gives: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (590) all_619_2 = all_603_2 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with all_579_2, all_619_2, % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (560), (587) % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | gives: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (591) all_619_2 = all_579_2 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_57_0, all_613_0, % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | all_38_5, all_38_6, simplifying with (162), (581) % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | gives: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (592) all_613_0 = all_57_0 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_589_0, all_613_0, % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | all_38_5, all_38_6, simplifying with (569), (581) % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | gives: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (593) all_613_0 = all_589_0 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_589_1, all_613_0, % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | all_38_5, all_38_6, simplifying with (568), (581) % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | gives: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (594) all_613_0 = all_589_1 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_579_1, all_613_0, % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | all_38_5, all_38_6, simplifying with (561), (581) % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | gives: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (595) all_613_0 = all_579_1 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_38_0, all_603_0, % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_6, simplifying with (31), (575) % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | gives: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (596) all_603_0 = all_38_0 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_579_0, all_603_0, % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_6, simplifying with (562), (575) % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | gives: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (597) all_603_0 = all_579_0 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (591) imply: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (598) all_613_2 = all_579_2 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (590) imply: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (599) all_613_2 = all_603_2 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (593), (594) imply: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (600) all_589_0 = all_589_1 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (593) imply: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (601) all_589_0 = all_57_0 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (593), (595) imply: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (602) all_589_0 = all_579_1 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (599) imply: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (603) all_603_2 = all_579_2 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | SIMP: (603) implies: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (604) all_603_2 = all_579_2 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (596), (597) imply: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (605) all_579_0 = all_38_0 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (604) imply: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (606) all_579_2 = all_434_2 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | SIMP: (606) implies: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (607) all_579_2 = all_434_2 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (602) imply: % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | (608) all_589_1 = all_579_1 % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | % 25.72/4.54 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (601) imply: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | (609) all_589_1 = all_57_0 % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (608), (609) imply: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | (610) all_579_1 = all_57_0 % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (607) imply: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | (611) all_613_2 = all_434_2 % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | BETA: splitting (582) gives: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | Case 1: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | (612) ~ (all_613_2 = 0) % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | REDUCE: (611), (612) imply: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | (613) ~ (all_434_2 = 0) % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_38_9, all_38_5, % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | all_38_2, all_434_2, simplifying with (20), (24), % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | (25), (535), (555) gives: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | (614) all_434_2 = 0 | apart_point_and_line(all_38_9, % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | all_38_2) = 0 % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (614) gives: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | (615) apart_point_and_line(all_38_9, all_38_2) = 0 % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (15) with all_51_0, 0, all_38_2, % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | all_38_9, simplifying with (56), (615) gives: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | (616) all_51_0 = 0 % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (616) imply: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | (617) $false % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (617) is inconsistent. % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | (618) all_434_2 = 0 % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (613), (618) imply: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | (619) $false % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (619) is inconsistent. % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | End of split % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | Case 2: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | (620) all_613_2 = 0 % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (611), (620) imply: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | (621) all_434_2 = 0 % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | SIMP: (621) implies: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | (622) all_434_2 = 0 % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (622) imply: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | (623) all_579_2 = 0 % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (563) gives: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | (624) ~ (all_579_2 = 0) % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (623), (624) imply: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | (625) $false % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (625) is inconsistent. % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | (626) all_579_0 = 0 | all_579_1 = 0 % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (626) gives: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | (627) all_579_0 = 0 % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (605), (627) imply: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | (628) all_38_0 = 0 % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (628) implies: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | (629) all_38_0 = 0 % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (629) imply: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | (630) $false % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (630) is inconsistent. % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | (631) all_579_1 = 0 % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (631) imply: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | (632) all_57_0 = 0 % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (173), (632) imply: % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | (633) $false % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (633) is inconsistent. % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | End of split % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | End of split % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | End of split % 25.72/4.55 | | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | | End of split % 25.72/4.55 | | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | | End of split % 25.72/4.55 | | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | | End of split % 25.72/4.55 | | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | | End of split % 25.72/4.55 | | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | | End of split % 25.72/4.55 | | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | | End of split % 25.72/4.55 | | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | | End of split % 25.72/4.55 | | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | | End of split % 25.72/4.55 | | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | | End of split % 25.72/4.55 | | | | | | | | | | | % 25.72/4.55 | | | | | | | | | | End of split % 25.72/4.55 | | | | | | | | | | % 25.72/4.55 | | | | | | | | | End of split % 25.72/4.55 | | | | | | | | | % 25.72/4.55 | | | | | | | | End of split % 25.72/4.55 | | | | | | | | % 25.72/4.55 | | | | | | | Case 2: % 25.72/4.55 | | | | | | | | % 25.72/4.55 | | | | | | | | (634) ~ (all_59_1 = 0) % 25.72/4.55 | | | | | | | | % 25.72/4.55 | | | | | | | | REDUCE: (119), (634) imply: % 25.72/4.55 | | | | | | | | (635) $false % 25.72/4.55 | | | | | | | | % 25.72/4.55 | | | | | | | | CLOSE: (635) is inconsistent. % 25.72/4.55 | | | | | | | | % 25.72/4.55 | | | | | | | End of split % 25.72/4.55 | | | | | | | % 25.72/4.55 | | | | | | End of split % 25.72/4.55 | | | | | | % 25.72/4.55 | | | | | End of split % 25.72/4.55 | | | | | % 25.72/4.55 | | | | End of split % 25.72/4.55 | | | | % 25.72/4.55 | | | End of split % 25.72/4.55 | | | % 25.72/4.55 | | End of split % 25.72/4.55 | | % 25.72/4.55 | End of split % 25.72/4.55 | % 25.72/4.55 End of proof % 25.72/4.55 % SZS output end Proof for theBenchmark % 25.72/4.55 % 25.72/4.55 3934ms %------------------------------------------------------------------------------