%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GEO197+1 : TPTP v8.1.2. Released v3.3.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n029.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 23:22:10 EDT 2023 % Result : Theorem 13.50s 2.51s % Output : Proof 20.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.12 % Problem : GEO197+1 : TPTP v8.1.2. Released v3.3.0. % 0.13/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.34 % Computer : n029.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Aug 29 22:49:57 EDT 2023 % 0.14/0.34 % CPUTime : % 0.58/0.59 ________ _____ % 0.58/0.59 ___ __ \_________(_)________________________________ % 0.58/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.58/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.58/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.58/0.59 % 0.58/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.58/0.59 (2023-06-19) % 0.58/0.59 % 0.58/0.59 (c) Philipp Rümmer, 2009-2023 % 0.58/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.58/0.59 Amanda Stjerna. % 0.58/0.59 Free software under BSD-3-Clause. % 0.58/0.59 % 0.58/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.58/0.59 % 0.63/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.63/0.60 Running up to 7 provers in parallel. % 0.63/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.63/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.63/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.63/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.63/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.63/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.63/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.50/1.05 Prover 1: Preprocessing ... % 2.50/1.05 Prover 4: Preprocessing ... % 2.92/1.09 Prover 0: Preprocessing ... % 2.92/1.09 Prover 2: Preprocessing ... % 2.92/1.09 Prover 5: Preprocessing ... % 2.92/1.09 Prover 6: Preprocessing ... % 2.92/1.09 Prover 3: Preprocessing ... % 4.10/1.31 Prover 5: Proving ... % 4.10/1.32 Prover 2: Proving ... % 4.10/1.33 Prover 6: Constructing countermodel ... % 4.82/1.34 Prover 3: Constructing countermodel ... % 4.82/1.35 Prover 1: Constructing countermodel ... % 5.28/1.43 Prover 1: gave up % 5.28/1.43 Prover 3: gave up % 5.28/1.44 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.28/1.44 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.28/1.44 Prover 6: gave up % 5.77/1.46 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 5.77/1.46 Prover 0: Proving ... % 5.80/1.48 Prover 7: Preprocessing ... % 5.80/1.49 Prover 8: Preprocessing ... % 5.80/1.49 Prover 4: Constructing countermodel ... % 6.08/1.50 Prover 9: Preprocessing ... % 6.08/1.53 Prover 7: Warning: ignoring some quantifiers % 6.33/1.54 Prover 7: Constructing countermodel ... % 6.33/1.59 Prover 8: Warning: ignoring some quantifiers % 6.33/1.59 Prover 8: Constructing countermodel ... % 7.06/1.65 Prover 9: Constructing countermodel ... % 7.06/1.65 Prover 8: gave up % 7.06/1.66 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 7.06/1.68 Prover 10: Preprocessing ... % 7.54/1.73 Prover 10: Warning: ignoring some quantifiers % 7.54/1.73 Prover 10: Constructing countermodel ... % 8.07/1.77 Prover 10: gave up % 8.07/1.77 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.11/1.79 Prover 7: gave up % 8.11/1.80 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 8.27/1.80 Prover 11: Preprocessing ... % 8.27/1.82 Prover 12: Preprocessing ... % 9.09/1.93 Prover 12: Proving ... % 9.09/1.98 Prover 11: Constructing countermodel ... % 13.50/2.50 Prover 9: proved (1045ms) % 13.50/2.51 % 13.50/2.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 13.50/2.51 % 13.50/2.51 Prover 12: stopped % 13.50/2.51 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 13.50/2.51 Prover 2: stopped % 13.50/2.51 Prover 0: stopped % 13.50/2.51 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 13.50/2.51 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 13.73/2.52 Prover 5: stopped % 13.73/2.52 Prover 13: Preprocessing ... % 13.73/2.52 Prover 19: Preprocessing ... % 13.73/2.53 Prover 16: Preprocessing ... % 13.73/2.55 Prover 13: Warning: ignoring some quantifiers % 13.73/2.55 Prover 16: Warning: ignoring some quantifiers % 13.73/2.56 Prover 16: Constructing countermodel ... % 13.73/2.56 Prover 13: Constructing countermodel ... % 13.73/2.57 Prover 19: Warning: ignoring some quantifiers % 13.73/2.57 Prover 19: Constructing countermodel ... % 13.73/2.59 Prover 19: gave up % 14.41/2.63 Prover 13: gave up % 14.99/2.74 Prover 16: gave up % 18.71/3.38 Prover 4: Found proof (size 573) % 18.71/3.38 Prover 4: proved (2772ms) % 18.71/3.38 Prover 11: stopped % 18.71/3.39 % 18.71/3.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 18.71/3.39 % 19.06/3.48 % SZS output start Proof for theBenchmark % 19.06/3.49 Assumptions after simplification: % 19.06/3.49 --------------------------------- % 19.06/3.49 % 19.06/3.49 (apart3) % 19.39/3.52 ! [v0: $i] : ( ~ (convergent_lines(v0, v0) = 0) | ~ $i(v0)) % 19.39/3.52 % 19.39/3.52 (ceq1) % 19.39/3.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = % 19.39/3.53 0 | v3 = 0 | ~ (apart_point_and_line(v2, v1) = v4) | ~ % 19.39/3.53 (distinct_points(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: % 19.39/3.53 int] : ( ~ (v5 = 0) & apart_point_and_line(v0, v1) = v5)) & ! [v0: $i] : % 19.39/3.53 ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 19.39/3.53 (apart_point_and_line(v2, v1) = v3) | ~ (apart_point_and_line(v0, v1) = 0) % 19.39/3.53 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | distinct_points(v0, v2) = 0) & ! [v0: % 19.39/3.53 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 19.39/3.53 (apart_point_and_line(v0, v1) = 0) | ~ (distinct_points(v0, v2) = v3) | ~ % 19.39/3.53 $i(v2) | ~ $i(v1) | ~ $i(v0) | apart_point_and_line(v2, v1) = 0) % 19.39/3.53 % 19.39/3.53 (ceq2) % 19.39/3.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = % 19.39/3.53 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_lines(v1, % 19.39/3.53 v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = % 19.39/3.53 0) & apart_point_and_line(v0, v1) = v5)) & ! [v0: $i] : ! [v1: $i] : % 19.39/3.53 ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0, v2) = v3) | % 19.39/3.53 ~ (apart_point_and_line(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 19.39/3.53 distinct_lines(v1, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 19.39/3.53 [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0, v1) = 0) | ~ % 19.39/3.53 (distinct_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 19.39/3.53 apart_point_and_line(v0, v2) = 0) % 19.39/3.53 % 19.39/3.53 (ceq3) % 19.39/3.54 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = % 19.39/3.54 0 | v3 = 0 | ~ (convergent_lines(v0, v2) = v4) | ~ (distinct_lines(v1, v2) % 19.39/3.54 = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) & % 19.39/3.54 convergent_lines(v0, v1) = v5)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 19.39/3.54 : ! [v3: int] : (v3 = 0 | ~ (convergent_lines(v0, v2) = v3) | ~ % 19.39/3.54 (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 19.39/3.54 distinct_lines(v1, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 19.39/3.54 [v3: int] : (v3 = 0 | ~ (convergent_lines(v0, v1) = 0) | ~ % 19.39/3.54 (distinct_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 19.39/3.54 convergent_lines(v0, v2) = 0) % 19.39/3.54 % 19.39/3.54 (ci3) % 19.39/3.54 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, v1) = % 19.39/3.54 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 19.39/3.54 (apart_point_and_line(v2, v0) = v4 & convergent_lines(v0, v1) = v3 & ( ~ (v4 % 19.39/3.54 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 19.39/3.54 (convergent_lines(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ? % 19.39/3.54 [v3: int] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 & % 19.39/3.54 apart_point_and_line(v2, v0) = v3 & $i(v2))) % 19.39/3.54 % 19.39/3.54 (ci4) % 19.39/3.55 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, v1) = % 19.39/3.55 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 19.39/3.55 (apart_point_and_line(v2, v1) = v4 & convergent_lines(v0, v1) = v3 & ( ~ (v4 % 19.39/3.55 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 19.39/3.55 (convergent_lines(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ? % 19.39/3.55 [v3: int] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 & % 19.39/3.55 apart_point_and_line(v2, v1) = v3 & $i(v2))) % 19.39/3.55 % 19.39/3.55 (con) % 19.39/3.55 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: int] : ? [v5: % 19.39/3.55 $i] : ( ~ (v4 = 0) & intersection_point(v2, v1) = v5 & % 19.39/3.55 intersection_point(v0, v1) = v3 & apart_point_and_line(v5, v0) = 0 & % 19.39/3.55 apart_point_and_line(v3, v2) = v4 & convergent_lines(v2, v1) = 0 & % 19.39/3.55 convergent_lines(v0, v2) = 0 & convergent_lines(v0, v1) = 0 & $i(v5) & % 19.39/3.55 $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 19.39/3.55 % 19.39/3.55 (cu1) % 19.39/3.56 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: % 19.39/3.56 int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) | ~ % 19.39/3.56 (apart_point_and_line(v1, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~ % 19.39/3.56 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : % 19.39/3.56 ? [v8: any] : (apart_point_and_line(v0, v3) = v8 & apart_point_and_line(v0, % 19.39/3.56 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = % 19.39/3.56 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 19.39/3.56 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = % 19.39/3.56 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ (distinct_lines(v2, v3) % 19.39/3.56 = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? % 19.39/3.56 [v7: any] : ? [v8: any] : (apart_point_and_line(v1, v2) = v8 & % 19.39/3.56 apart_point_and_line(v0, v2) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v6 % 19.39/3.56 = 0) | v8 = 0 | v7 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 19.39/3.56 ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ % 19.39/3.56 (apart_point_and_line(v1, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4) % 19.39/3.56 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: % 19.39/3.56 any] : ? [v8: any] : ? [v9: any] : (apart_point_and_line(v1, v2) = v9 & % 19.39/3.56 apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 & % 19.39/3.56 distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = % 19.39/3.56 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 19.39/3.56 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = % 19.39/3.56 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 19.39/3.56 $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: % 19.39/3.56 any] : (apart_point_and_line(v1, v3) = v9 & apart_point_and_line(v0, v2) = % 19.39/3.56 v8 & distinct_lines(v2, v3) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v7 % 19.39/3.56 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = 0))) & ! [v0: $i] : ! [v1: $i] : % 19.39/3.56 ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ % 19.39/3.56 (apart_point_and_line(v1, v2) = v5) | ~ (apart_point_and_line(v0, v2) = v4) % 19.39/3.56 | ~ (distinct_lines(v2, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 19.39/3.56 $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : % 19.39/3.56 (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v0, v3) = v7 & % 19.39/3.56 distinct_points(v0, v1) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) & ! [v0: % 19.39/3.56 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] % 19.39/3.57 : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v0, v3) = v5) | ~ % 19.39/3.57 (apart_point_and_line(v0, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~ % 19.39/3.57 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : % 19.39/3.57 ? [v8: any] : (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v1, % 19.39/3.57 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = % 19.39/3.57 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 19.39/3.57 (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ~ $i(v3) % 19.39/3.57 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: % 19.39/3.57 any] : ? [v7: any] : (apart_point_and_line(v1, v3) = v7 & % 19.39/3.57 apart_point_and_line(v1, v2) = v6 & apart_point_and_line(v0, v3) = v5 & % 19.39/3.57 apart_point_and_line(v0, v2) = v4 & (v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0))) % 19.39/3.57 % 19.39/3.57 (function-axioms) % 19.39/3.57 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 19.39/3.57 (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0)) & % 19.39/3.57 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 19.39/3.57 (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0)) & ! % 19.39/3.57 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 19.39/3.57 $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ % 19.39/3.57 (apart_point_and_line(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 19.39/3.57 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 19.39/3.57 (convergent_lines(v3, v2) = v1) | ~ (convergent_lines(v3, v2) = v0)) & ! % 19.39/3.57 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 19.39/3.57 $i] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, % 19.39/3.57 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 19.39/3.57 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ % 19.39/3.57 (distinct_points(v3, v2) = v0)) % 19.39/3.57 % 19.39/3.57 Further assumptions not needed in the proof: % 19.39/3.57 -------------------------------------------- % 19.39/3.57 apart1, apart2, apart4, apart5, ax6, ci1, ci2 % 19.39/3.57 % 19.39/3.57 Those formulas are unsatisfiable: % 19.39/3.57 --------------------------------- % 19.39/3.57 % 19.39/3.57 Begin of proof % 19.39/3.57 | % 19.39/3.57 | ALPHA: (ci3) implies: % 19.67/3.57 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (convergent_lines(v0, v1) = 0) | ~ % 19.67/3.57 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) & % 19.67/3.57 | intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v0) = v3 % 19.67/3.57 | & $i(v2))) % 19.67/3.57 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, % 19.67/3.57 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 19.67/3.57 | (apart_point_and_line(v2, v0) = v4 & convergent_lines(v0, v1) = v3 & % 19.67/3.57 | ( ~ (v4 = 0) | ~ (v3 = 0)))) % 19.67/3.57 | % 19.67/3.57 | ALPHA: (ci4) implies: % 19.67/3.58 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (convergent_lines(v0, v1) = 0) | ~ % 19.67/3.58 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) & % 19.67/3.58 | intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v1) = v3 % 19.67/3.58 | & $i(v2))) % 19.67/3.58 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, % 19.67/3.58 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 19.67/3.58 | (apart_point_and_line(v2, v1) = v4 & convergent_lines(v0, v1) = v3 & % 19.67/3.58 | ( ~ (v4 = 0) | ~ (v3 = 0)))) % 19.67/3.58 | % 19.67/3.58 | ALPHA: (cu1) implies: % 19.67/3.58 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 19.67/3.58 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = v5) % 19.67/3.58 | | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 19.67/3.58 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? % 19.67/3.58 | [v9: any] : (apart_point_and_line(v1, v3) = v9 & % 19.67/3.58 | apart_point_and_line(v0, v2) = v8 & distinct_lines(v2, v3) = v7 & % 19.67/3.58 | distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 % 19.67/3.58 | | v8 = 0))) % 19.67/3.58 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 19.67/3.58 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) % 19.67/3.58 | | ~ (apart_point_and_line(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 19.67/3.58 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? % 19.67/3.58 | [v9: any] : (apart_point_and_line(v1, v2) = v9 & % 19.67/3.58 | apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 & % 19.67/3.58 | distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 % 19.67/3.58 | | v8 = 0))) % 19.67/3.58 | % 19.67/3.58 | ALPHA: (ceq1) implies: % 19.67/3.58 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 19.67/3.58 | (apart_point_and_line(v2, v1) = v3) | ~ (apart_point_and_line(v0, % 19.67/3.58 | v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 19.67/3.58 | distinct_points(v0, v2) = 0) % 19.67/3.58 | % 19.67/3.58 | ALPHA: (ceq2) implies: % 19.67/3.58 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 19.67/3.58 | (apart_point_and_line(v0, v2) = v3) | ~ (apart_point_and_line(v0, % 19.67/3.58 | v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | distinct_lines(v1, % 19.67/3.58 | v2) = 0) % 19.67/3.58 | % 19.67/3.58 | ALPHA: (ceq3) implies: % 19.67/3.58 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 19.67/3.58 | (convergent_lines(v0, v1) = 0) | ~ (distinct_lines(v1, v2) = v3) | % 19.67/3.58 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | convergent_lines(v0, v2) = 0) % 19.67/3.58 | % 19.67/3.58 | ALPHA: (function-axioms) implies: % 19.67/3.58 | (10) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 19.67/3.58 | : ! [v3: $i] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ % 19.67/3.58 | (distinct_points(v3, v2) = v0)) % 19.67/3.59 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 19.67/3.59 | : ! [v3: $i] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ % 19.67/3.59 | (distinct_lines(v3, v2) = v0)) % 19.67/3.59 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 19.67/3.59 | : ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ % 19.67/3.59 | (convergent_lines(v3, v2) = v0)) % 19.67/3.59 | (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 19.67/3.59 | : ! [v3: $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ % 19.67/3.59 | (apart_point_and_line(v3, v2) = v0)) % 19.67/3.59 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 19.67/3.59 | (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = % 19.67/3.59 | v0)) % 19.67/3.59 | % 19.67/3.59 | DELTA: instantiating (con) with fresh symbols all_17_0, all_17_1, all_17_2, % 19.67/3.59 | all_17_3, all_17_4, all_17_5 gives: % 19.67/3.59 | (15) ~ (all_17_1 = 0) & intersection_point(all_17_3, all_17_4) = all_17_0 % 19.67/3.59 | & intersection_point(all_17_5, all_17_4) = all_17_2 & % 19.67/3.59 | apart_point_and_line(all_17_0, all_17_5) = 0 & % 19.67/3.59 | apart_point_and_line(all_17_2, all_17_3) = all_17_1 & % 19.67/3.59 | convergent_lines(all_17_3, all_17_4) = 0 & convergent_lines(all_17_5, % 19.67/3.59 | all_17_3) = 0 & convergent_lines(all_17_5, all_17_4) = 0 & % 19.67/3.59 | $i(all_17_0) & $i(all_17_2) & $i(all_17_3) & $i(all_17_4) & % 19.67/3.59 | $i(all_17_5) % 19.67/3.59 | % 19.67/3.59 | ALPHA: (15) implies: % 19.67/3.59 | (16) ~ (all_17_1 = 0) % 19.67/3.59 | (17) $i(all_17_5) % 19.67/3.59 | (18) $i(all_17_4) % 19.67/3.59 | (19) $i(all_17_3) % 19.67/3.59 | (20) $i(all_17_2) % 19.67/3.59 | (21) convergent_lines(all_17_5, all_17_4) = 0 % 19.67/3.59 | (22) convergent_lines(all_17_5, all_17_3) = 0 % 19.67/3.59 | (23) convergent_lines(all_17_3, all_17_4) = 0 % 19.67/3.59 | (24) apart_point_and_line(all_17_2, all_17_3) = all_17_1 % 19.67/3.59 | (25) apart_point_and_line(all_17_0, all_17_5) = 0 % 19.67/3.59 | (26) intersection_point(all_17_5, all_17_4) = all_17_2 % 19.67/3.59 | (27) intersection_point(all_17_3, all_17_4) = all_17_0 % 19.67/3.59 | % 19.67/3.59 | GROUND_INST: instantiating (3) with all_17_5, all_17_4, simplifying with (17), % 19.67/3.59 | (18), (21) gives: % 19.67/3.59 | (28) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 19.67/3.59 | intersection_point(all_17_5, all_17_4) = v0 & % 19.67/3.59 | apart_point_and_line(v0, all_17_4) = v1 & $i(v0)) % 19.67/3.59 | % 19.67/3.59 | GROUND_INST: instantiating (1) with all_17_5, all_17_4, simplifying with (17), % 19.67/3.59 | (18), (21) gives: % 19.67/3.59 | (29) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 19.67/3.59 | intersection_point(all_17_5, all_17_4) = v0 & % 19.67/3.59 | apart_point_and_line(v0, all_17_5) = v1 & $i(v0)) % 19.67/3.59 | % 19.67/3.59 | GROUND_INST: instantiating (3) with all_17_5, all_17_3, simplifying with (17), % 19.67/3.59 | (19), (22) gives: % 19.67/3.59 | (30) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 19.67/3.59 | intersection_point(all_17_5, all_17_3) = v0 & % 19.67/3.59 | apart_point_and_line(v0, all_17_3) = v1 & $i(v0)) % 19.67/3.59 | % 19.67/3.59 | GROUND_INST: instantiating (1) with all_17_5, all_17_3, simplifying with (17), % 19.67/3.60 | (19), (22) gives: % 19.67/3.60 | (31) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 19.67/3.60 | intersection_point(all_17_5, all_17_3) = v0 & % 19.67/3.60 | apart_point_and_line(v0, all_17_5) = v1 & $i(v0)) % 19.67/3.60 | % 19.67/3.60 | GROUND_INST: instantiating (3) with all_17_3, all_17_4, simplifying with (18), % 19.67/3.60 | (19), (23) gives: % 19.67/3.60 | (32) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 19.67/3.60 | intersection_point(all_17_3, all_17_4) = v0 & % 19.67/3.60 | apart_point_and_line(v0, all_17_4) = v1 & $i(v0)) % 19.67/3.60 | % 19.67/3.60 | GROUND_INST: instantiating (1) with all_17_3, all_17_4, simplifying with (18), % 19.67/3.60 | (19), (23) gives: % 19.67/3.60 | (33) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 19.67/3.60 | intersection_point(all_17_3, all_17_4) = v0 & % 19.67/3.60 | apart_point_and_line(v0, all_17_3) = v1 & $i(v0)) % 19.67/3.60 | % 19.67/3.60 | GROUND_INST: instantiating (6) with all_17_2, all_17_2, all_17_3, all_17_3, % 19.67/3.60 | all_17_1, all_17_1, simplifying with (19), (20), (24) gives: % 19.67/3.60 | (34) all_17_1 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 19.67/3.60 | any] : (apart_point_and_line(all_17_2, all_17_3) = v3 & % 19.67/3.60 | apart_point_and_line(all_17_2, all_17_3) = v2 & % 19.67/3.60 | distinct_lines(all_17_3, all_17_3) = v1 & distinct_points(all_17_2, % 19.67/3.60 | all_17_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.60 | % 19.67/3.60 | GROUND_INST: instantiating (4) with all_17_5, all_17_4, all_17_2, simplifying % 19.67/3.60 | with (17), (18), (26) gives: % 19.67/3.60 | (35) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_17_2, % 19.67/3.60 | all_17_4) = v1 & convergent_lines(all_17_5, all_17_4) = v0 & ( ~ % 19.67/3.60 | (v1 = 0) | ~ (v0 = 0))) % 19.67/3.60 | % 19.67/3.60 | GROUND_INST: instantiating (2) with all_17_5, all_17_4, all_17_2, simplifying % 19.67/3.60 | with (17), (18), (26) gives: % 19.67/3.60 | (36) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_17_2, % 19.67/3.60 | all_17_5) = v1 & convergent_lines(all_17_5, all_17_4) = v0 & ( ~ % 19.67/3.60 | (v1 = 0) | ~ (v0 = 0))) % 19.67/3.60 | % 19.67/3.60 | GROUND_INST: instantiating (4) with all_17_3, all_17_4, all_17_0, simplifying % 19.67/3.60 | with (18), (19), (27) gives: % 19.67/3.60 | (37) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_17_0, % 19.67/3.60 | all_17_4) = v1 & convergent_lines(all_17_3, all_17_4) = v0 & ( ~ % 19.67/3.60 | (v1 = 0) | ~ (v0 = 0))) % 19.67/3.60 | % 19.67/3.60 | GROUND_INST: instantiating (2) with all_17_3, all_17_4, all_17_0, simplifying % 19.67/3.60 | with (18), (19), (27) gives: % 19.67/3.60 | (38) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_17_0, % 19.67/3.60 | all_17_3) = v1 & convergent_lines(all_17_3, all_17_4) = v0 & ( ~ % 19.67/3.60 | (v1 = 0) | ~ (v0 = 0))) % 19.67/3.60 | % 19.67/3.60 | DELTA: instantiating (38) with fresh symbols all_24_0, all_24_1 gives: % 19.67/3.60 | (39) apart_point_and_line(all_17_0, all_17_3) = all_24_0 & % 19.67/3.60 | convergent_lines(all_17_3, all_17_4) = all_24_1 & ( ~ (all_24_0 = 0) | % 19.67/3.60 | ~ (all_24_1 = 0)) % 19.67/3.60 | % 19.67/3.60 | ALPHA: (39) implies: % 19.67/3.60 | (40) convergent_lines(all_17_3, all_17_4) = all_24_1 % 19.67/3.60 | (41) apart_point_and_line(all_17_0, all_17_3) = all_24_0 % 19.67/3.60 | % 19.67/3.60 | DELTA: instantiating (35) with fresh symbols all_26_0, all_26_1 gives: % 19.67/3.60 | (42) apart_point_and_line(all_17_2, all_17_4) = all_26_0 & % 19.67/3.60 | convergent_lines(all_17_5, all_17_4) = all_26_1 & ( ~ (all_26_0 = 0) | % 19.67/3.61 | ~ (all_26_1 = 0)) % 19.67/3.61 | % 19.67/3.61 | ALPHA: (42) implies: % 19.67/3.61 | (43) apart_point_and_line(all_17_2, all_17_4) = all_26_0 % 19.67/3.61 | % 19.67/3.61 | DELTA: instantiating (33) with fresh symbols all_28_0, all_28_1 gives: % 19.67/3.61 | (44) ~ (all_28_0 = 0) & intersection_point(all_17_3, all_17_4) = all_28_1 % 19.67/3.61 | & apart_point_and_line(all_28_1, all_17_3) = all_28_0 & $i(all_28_1) % 19.67/3.61 | % 19.67/3.61 | ALPHA: (44) implies: % 19.67/3.61 | (45) ~ (all_28_0 = 0) % 19.67/3.61 | (46) $i(all_28_1) % 19.67/3.61 | (47) apart_point_and_line(all_28_1, all_17_3) = all_28_0 % 19.67/3.61 | (48) intersection_point(all_17_3, all_17_4) = all_28_1 % 19.67/3.61 | % 19.67/3.61 | DELTA: instantiating (32) with fresh symbols all_30_0, all_30_1 gives: % 19.67/3.61 | (49) ~ (all_30_0 = 0) & intersection_point(all_17_3, all_17_4) = all_30_1 % 19.67/3.61 | & apart_point_and_line(all_30_1, all_17_4) = all_30_0 & $i(all_30_1) % 19.67/3.61 | % 19.67/3.61 | ALPHA: (49) implies: % 19.67/3.61 | (50) apart_point_and_line(all_30_1, all_17_4) = all_30_0 % 19.67/3.61 | (51) intersection_point(all_17_3, all_17_4) = all_30_1 % 19.67/3.61 | % 19.67/3.61 | DELTA: instantiating (37) with fresh symbols all_32_0, all_32_1 gives: % 19.67/3.61 | (52) apart_point_and_line(all_17_0, all_17_4) = all_32_0 & % 19.67/3.61 | convergent_lines(all_17_3, all_17_4) = all_32_1 & ( ~ (all_32_0 = 0) | % 19.67/3.61 | ~ (all_32_1 = 0)) % 19.67/3.61 | % 19.67/3.61 | ALPHA: (52) implies: % 19.67/3.61 | (53) convergent_lines(all_17_3, all_17_4) = all_32_1 % 19.67/3.61 | (54) apart_point_and_line(all_17_0, all_17_4) = all_32_0 % 19.67/3.61 | (55) ~ (all_32_0 = 0) | ~ (all_32_1 = 0) % 19.67/3.61 | % 19.67/3.61 | DELTA: instantiating (36) with fresh symbols all_34_0, all_34_1 gives: % 19.67/3.61 | (56) apart_point_and_line(all_17_2, all_17_5) = all_34_0 & % 19.67/3.61 | convergent_lines(all_17_5, all_17_4) = all_34_1 & ( ~ (all_34_0 = 0) | % 19.67/3.61 | ~ (all_34_1 = 0)) % 19.67/3.61 | % 19.67/3.61 | ALPHA: (56) implies: % 19.67/3.61 | (57) apart_point_and_line(all_17_2, all_17_5) = all_34_0 % 19.67/3.61 | % 19.67/3.61 | DELTA: instantiating (31) with fresh symbols all_36_0, all_36_1 gives: % 19.67/3.61 | (58) ~ (all_36_0 = 0) & intersection_point(all_17_5, all_17_3) = all_36_1 % 19.67/3.61 | & apart_point_and_line(all_36_1, all_17_5) = all_36_0 & $i(all_36_1) % 19.67/3.61 | % 19.67/3.61 | ALPHA: (58) implies: % 19.67/3.61 | (59) ~ (all_36_0 = 0) % 19.67/3.61 | (60) apart_point_and_line(all_36_1, all_17_5) = all_36_0 % 19.67/3.61 | (61) intersection_point(all_17_5, all_17_3) = all_36_1 % 19.67/3.61 | % 19.67/3.61 | DELTA: instantiating (30) with fresh symbols all_38_0, all_38_1 gives: % 19.67/3.61 | (62) ~ (all_38_0 = 0) & intersection_point(all_17_5, all_17_3) = all_38_1 % 19.67/3.61 | & apart_point_and_line(all_38_1, all_17_3) = all_38_0 & $i(all_38_1) % 19.67/3.61 | % 19.67/3.61 | ALPHA: (62) implies: % 19.67/3.61 | (63) ~ (all_38_0 = 0) % 19.67/3.61 | (64) $i(all_38_1) % 19.67/3.61 | (65) apart_point_and_line(all_38_1, all_17_3) = all_38_0 % 19.67/3.61 | (66) intersection_point(all_17_5, all_17_3) = all_38_1 % 19.67/3.61 | % 19.67/3.61 | DELTA: instantiating (29) with fresh symbols all_40_0, all_40_1 gives: % 19.67/3.61 | (67) ~ (all_40_0 = 0) & intersection_point(all_17_5, all_17_4) = all_40_1 % 19.67/3.61 | & apart_point_and_line(all_40_1, all_17_5) = all_40_0 & $i(all_40_1) % 19.67/3.61 | % 19.67/3.61 | ALPHA: (67) implies: % 19.67/3.61 | (68) ~ (all_40_0 = 0) % 19.67/3.61 | (69) $i(all_40_1) % 19.67/3.61 | (70) apart_point_and_line(all_40_1, all_17_5) = all_40_0 % 19.67/3.61 | (71) intersection_point(all_17_5, all_17_4) = all_40_1 % 19.67/3.61 | % 19.67/3.61 | DELTA: instantiating (28) with fresh symbols all_42_0, all_42_1 gives: % 19.67/3.61 | (72) ~ (all_42_0 = 0) & intersection_point(all_17_5, all_17_4) = all_42_1 % 19.67/3.61 | & apart_point_and_line(all_42_1, all_17_4) = all_42_0 & $i(all_42_1) % 19.67/3.61 | % 19.67/3.61 | ALPHA: (72) implies: % 19.67/3.61 | (73) ~ (all_42_0 = 0) % 19.67/3.61 | (74) apart_point_and_line(all_42_1, all_17_4) = all_42_0 % 19.67/3.61 | (75) intersection_point(all_17_5, all_17_4) = all_42_1 % 19.67/3.61 | % 19.67/3.61 | BETA: splitting (34) gives: % 19.67/3.61 | % 19.67/3.61 | Case 1: % 19.67/3.61 | | % 19.67/3.62 | | (76) all_17_1 = 0 % 19.67/3.62 | | % 19.67/3.62 | | REDUCE: (16), (76) imply: % 19.67/3.62 | | (77) $false % 19.67/3.62 | | % 19.67/3.62 | | CLOSE: (77) is inconsistent. % 19.67/3.62 | | % 19.67/3.62 | Case 2: % 19.67/3.62 | | % 19.67/3.62 | | (78) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 19.67/3.62 | | (apart_point_and_line(all_17_2, all_17_3) = v3 & % 19.67/3.62 | | apart_point_and_line(all_17_2, all_17_3) = v2 & % 19.67/3.62 | | distinct_lines(all_17_3, all_17_3) = v1 & % 19.67/3.62 | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 19.67/3.62 | | 0) | v3 = 0 | v2 = 0)) % 19.67/3.62 | | % 19.67/3.62 | | DELTA: instantiating (78) with fresh symbols all_48_0, all_48_1, all_48_2, % 19.67/3.62 | | all_48_3 gives: % 19.67/3.62 | | (79) apart_point_and_line(all_17_2, all_17_3) = all_48_0 & % 19.67/3.62 | | apart_point_and_line(all_17_2, all_17_3) = all_48_1 & % 19.67/3.62 | | distinct_lines(all_17_3, all_17_3) = all_48_2 & % 19.67/3.62 | | distinct_points(all_17_2, all_17_2) = all_48_3 & ( ~ (all_48_2 = 0) % 19.67/3.62 | | | ~ (all_48_3 = 0) | all_48_0 = 0 | all_48_1 = 0) % 19.67/3.62 | | % 19.67/3.62 | | ALPHA: (79) implies: % 19.67/3.62 | | (80) apart_point_and_line(all_17_2, all_17_3) = all_48_1 % 19.67/3.62 | | (81) apart_point_and_line(all_17_2, all_17_3) = all_48_0 % 19.67/3.62 | | % 19.67/3.62 | | GROUND_INST: instantiating (12) with 0, all_32_1, all_17_4, all_17_3, % 19.67/3.62 | | simplifying with (23), (53) gives: % 19.67/3.62 | | (82) all_32_1 = 0 % 19.67/3.62 | | % 19.67/3.62 | | GROUND_INST: instantiating (12) with all_24_1, all_32_1, all_17_4, all_17_3, % 19.67/3.62 | | simplifying with (40), (53) gives: % 19.67/3.62 | | (83) all_32_1 = all_24_1 % 19.67/3.62 | | % 19.67/3.62 | | GROUND_INST: instantiating (13) with all_17_1, all_48_0, all_17_3, all_17_2, % 19.67/3.62 | | simplifying with (24), (81) gives: % 19.67/3.62 | | (84) all_48_0 = all_17_1 % 19.67/3.62 | | % 19.67/3.62 | | GROUND_INST: instantiating (13) with all_48_1, all_48_0, all_17_3, all_17_2, % 19.67/3.62 | | simplifying with (80), (81) gives: % 19.67/3.62 | | (85) all_48_0 = all_48_1 % 19.67/3.62 | | % 19.67/3.62 | | GROUND_INST: instantiating (14) with all_17_2, all_42_1, all_17_4, all_17_5, % 19.67/3.62 | | simplifying with (26), (75) gives: % 19.67/3.62 | | (86) all_42_1 = all_17_2 % 19.67/3.62 | | % 19.67/3.62 | | GROUND_INST: instantiating (14) with all_40_1, all_42_1, all_17_4, all_17_5, % 19.67/3.62 | | simplifying with (71), (75) gives: % 19.67/3.62 | | (87) all_42_1 = all_40_1 % 19.67/3.62 | | % 19.67/3.62 | | GROUND_INST: instantiating (14) with all_36_1, all_38_1, all_17_3, all_17_5, % 19.67/3.62 | | simplifying with (61), (66) gives: % 19.67/3.62 | | (88) all_38_1 = all_36_1 % 19.67/3.62 | | % 19.67/3.62 | | GROUND_INST: instantiating (14) with all_17_0, all_30_1, all_17_4, all_17_3, % 19.67/3.62 | | simplifying with (27), (51) gives: % 19.67/3.62 | | (89) all_30_1 = all_17_0 % 19.67/3.62 | | % 19.67/3.62 | | GROUND_INST: instantiating (14) with all_28_1, all_30_1, all_17_4, all_17_3, % 19.67/3.62 | | simplifying with (48), (51) gives: % 19.67/3.62 | | (90) all_30_1 = all_28_1 % 19.67/3.62 | | % 19.67/3.62 | | COMBINE_EQS: (84), (85) imply: % 19.67/3.62 | | (91) all_48_1 = all_17_1 % 19.67/3.62 | | % 19.67/3.62 | | SIMP: (91) implies: % 19.67/3.62 | | (92) all_48_1 = all_17_1 % 19.67/3.62 | | % 19.67/3.62 | | COMBINE_EQS: (86), (87) imply: % 19.67/3.62 | | (93) all_40_1 = all_17_2 % 19.67/3.62 | | % 19.67/3.62 | | SIMP: (93) implies: % 19.67/3.62 | | (94) all_40_1 = all_17_2 % 19.67/3.62 | | % 19.67/3.62 | | COMBINE_EQS: (82), (83) imply: % 19.67/3.62 | | (95) all_24_1 = 0 % 19.67/3.62 | | % 19.67/3.62 | | COMBINE_EQS: (89), (90) imply: % 19.67/3.62 | | (96) all_28_1 = all_17_0 % 19.67/3.62 | | % 19.67/3.62 | | REDUCE: (74), (86) imply: % 19.67/3.62 | | (97) apart_point_and_line(all_17_2, all_17_4) = all_42_0 % 19.67/3.62 | | % 19.67/3.62 | | REDUCE: (70), (94) imply: % 19.67/3.62 | | (98) apart_point_and_line(all_17_2, all_17_5) = all_40_0 % 19.67/3.62 | | % 19.67/3.62 | | REDUCE: (65), (88) imply: % 19.67/3.62 | | (99) apart_point_and_line(all_36_1, all_17_3) = all_38_0 % 19.67/3.62 | | % 19.67/3.62 | | REDUCE: (50), (89) imply: % 19.67/3.62 | | (100) apart_point_and_line(all_17_0, all_17_4) = all_30_0 % 19.67/3.62 | | % 19.67/3.62 | | REDUCE: (47), (96) imply: % 19.67/3.62 | | (101) apart_point_and_line(all_17_0, all_17_3) = all_28_0 % 19.67/3.62 | | % 19.67/3.62 | | REDUCE: (64), (88) imply: % 19.67/3.63 | | (102) $i(all_36_1) % 19.67/3.63 | | % 19.67/3.63 | | REDUCE: (46), (96) imply: % 19.67/3.63 | | (103) $i(all_17_0) % 19.67/3.63 | | % 19.67/3.63 | | BETA: splitting (55) gives: % 19.67/3.63 | | % 19.67/3.63 | | Case 1: % 19.67/3.63 | | | % 19.67/3.63 | | | (104) ~ (all_32_0 = 0) % 19.67/3.63 | | | % 19.67/3.63 | | | GROUND_INST: instantiating (13) with all_34_0, all_40_0, all_17_5, % 19.67/3.63 | | | all_17_2, simplifying with (57), (98) gives: % 19.67/3.63 | | | (105) all_40_0 = all_34_0 % 19.67/3.63 | | | % 19.67/3.63 | | | GROUND_INST: instantiating (13) with all_26_0, all_42_0, all_17_4, % 19.67/3.63 | | | all_17_2, simplifying with (43), (97) gives: % 19.67/3.63 | | | (106) all_42_0 = all_26_0 % 19.67/3.63 | | | % 19.67/3.63 | | | GROUND_INST: instantiating (13) with all_32_0, all_30_0, all_17_4, % 19.67/3.63 | | | all_17_0, simplifying with (54), (100) gives: % 19.67/3.63 | | | (107) all_32_0 = all_30_0 % 19.67/3.63 | | | % 19.67/3.63 | | | GROUND_INST: instantiating (13) with all_24_0, all_28_0, all_17_3, % 19.67/3.63 | | | all_17_0, simplifying with (41), (101) gives: % 19.67/3.63 | | | (108) all_28_0 = all_24_0 % 19.67/3.63 | | | % 19.67/3.63 | | | REDUCE: (73), (106) imply: % 19.67/3.63 | | | (109) ~ (all_26_0 = 0) % 19.67/3.63 | | | % 19.67/3.63 | | | REDUCE: (68), (105) imply: % 19.67/3.63 | | | (110) ~ (all_34_0 = 0) % 19.67/3.63 | | | % 19.67/3.63 | | | REDUCE: (104), (107) imply: % 19.67/3.63 | | | (111) ~ (all_30_0 = 0) % 19.67/3.63 | | | % 19.67/3.63 | | | REDUCE: (45), (108) imply: % 19.67/3.63 | | | (112) ~ (all_24_0 = 0) % 19.67/3.63 | | | % 19.67/3.63 | | | GROUND_INST: instantiating (7) with all_17_0, all_17_5, all_17_2, % 19.67/3.63 | | | all_34_0, simplifying with (17), (20), (25), (57), (103) % 19.67/3.63 | | | gives: % 19.67/3.63 | | | (113) all_34_0 = 0 | distinct_points(all_17_0, all_17_2) = 0 % 19.67/3.63 | | | % 19.67/3.63 | | | GROUND_INST: instantiating (6) with all_17_2, all_17_2, all_17_3, % 19.67/3.63 | | | all_17_5, all_17_1, all_34_0, simplifying with (17), (19), % 19.67/3.63 | | | (20), (24), (57) gives: % 19.67/3.63 | | | (114) all_34_0 = 0 | all_17_1 = 0 | ? [v0: any] : ? [v1: any] : ? % 19.67/3.63 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_2, % 19.67/3.63 | | | all_17_3) = v3 & apart_point_and_line(all_17_2, all_17_5) = % 19.67/3.63 | | | v2 & distinct_lines(all_17_3, all_17_5) = v1 & % 19.67/3.63 | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.63 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.63 | | | % 19.67/3.63 | | | GROUND_INST: instantiating (6) with all_17_2, all_17_2, all_17_5, % 19.67/3.63 | | | all_17_3, all_34_0, all_17_1, simplifying with (17), (19), % 19.67/3.63 | | | (20), (24), (57) gives: % 19.67/3.63 | | | (115) all_34_0 = 0 | all_17_1 = 0 | ? [v0: any] : ? [v1: any] : ? % 19.67/3.63 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_2, % 19.67/3.63 | | | all_17_3) = v2 & apart_point_and_line(all_17_2, all_17_5) = % 19.67/3.63 | | | v3 & distinct_lines(all_17_5, all_17_3) = v1 & % 19.67/3.63 | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.63 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.63 | | | % 19.67/3.63 | | | GROUND_INST: instantiating (6) with all_17_2, all_17_2, all_17_5, % 19.67/3.63 | | | all_17_5, all_34_0, all_34_0, simplifying with (17), (20), % 19.67/3.63 | | | (57) gives: % 19.67/3.63 | | | (116) all_34_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 19.67/3.63 | | | [v3: any] : (apart_point_and_line(all_17_2, all_17_5) = v3 & % 19.67/3.63 | | | apart_point_and_line(all_17_2, all_17_5) = v2 & % 19.67/3.63 | | | distinct_lines(all_17_5, all_17_5) = v1 & % 19.67/3.63 | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.63 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.63 | | | % 19.67/3.63 | | | GROUND_INST: instantiating (5) with all_17_2, all_17_2, all_17_3, % 19.67/3.63 | | | all_17_4, all_26_0, all_17_1, simplifying with (18), (19), % 19.67/3.63 | | | (20), (24), (43) gives: % 19.67/3.63 | | | (117) all_26_0 = 0 | all_17_1 = 0 | ? [v0: any] : ? [v1: any] : ? % 19.67/3.63 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_2, % 19.67/3.63 | | | all_17_3) = v2 & apart_point_and_line(all_17_2, all_17_4) = % 19.67/3.63 | | | v3 & distinct_lines(all_17_3, all_17_4) = v1 & % 19.67/3.63 | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.63 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.63 | | | % 19.67/3.63 | | | GROUND_INST: instantiating (6) with all_17_2, all_17_2, all_17_4, % 19.67/3.63 | | | all_17_4, all_26_0, all_26_0, simplifying with (18), (20), % 19.67/3.63 | | | (43) gives: % 19.67/3.63 | | | (118) all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 19.67/3.63 | | | [v3: any] : (apart_point_and_line(all_17_2, all_17_4) = v3 & % 19.67/3.63 | | | apart_point_and_line(all_17_2, all_17_4) = v2 & % 19.67/3.63 | | | distinct_lines(all_17_4, all_17_4) = v1 & % 19.67/3.63 | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.63 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.63 | | | % 19.67/3.63 | | | GROUND_INST: instantiating (6) with all_17_2, all_17_2, all_17_4, % 19.67/3.63 | | | all_17_5, all_26_0, all_34_0, simplifying with (17), (18), % 19.67/3.63 | | | (20), (43), (57) gives: % 19.67/3.64 | | | (119) all_34_0 = 0 | all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 19.67/3.64 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_2, % 19.67/3.64 | | | all_17_4) = v3 & apart_point_and_line(all_17_2, all_17_5) = % 19.67/3.64 | | | v2 & distinct_lines(all_17_4, all_17_5) = v1 & % 19.67/3.64 | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.64 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.64 | | | % 19.67/3.64 | | | GROUND_INST: instantiating (5) with all_17_2, all_17_2, all_17_4, % 19.67/3.64 | | | all_17_5, all_34_0, all_26_0, simplifying with (17), (18), % 19.67/3.64 | | | (20), (43), (57) gives: % 19.67/3.64 | | | (120) all_34_0 = 0 | all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 19.67/3.64 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_2, % 19.67/3.64 | | | all_17_4) = v2 & apart_point_and_line(all_17_2, all_17_5) = % 19.67/3.64 | | | v3 & distinct_lines(all_17_4, all_17_5) = v1 & % 19.67/3.64 | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.64 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.64 | | | % 19.67/3.64 | | | GROUND_INST: instantiating (6) with all_17_0, all_17_2, all_17_4, % 19.67/3.64 | | | all_17_3, all_30_0, all_17_1, simplifying with (18), (19), % 19.67/3.64 | | | (20), (24), (100), (103) gives: % 19.67/3.64 | | | (121) all_30_0 = 0 | all_17_1 = 0 | ? [v0: any] : ? [v1: any] : ? % 19.67/3.64 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_0, % 19.67/3.64 | | | all_17_3) = v2 & apart_point_and_line(all_17_2, all_17_4) = % 19.67/3.64 | | | v3 & distinct_lines(all_17_4, all_17_3) = v1 & % 19.67/3.64 | | | distinct_points(all_17_0, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.64 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.64 | | | % 19.67/3.64 | | | GROUND_INST: instantiating (5) with all_17_0, all_17_2, all_17_3, % 19.67/3.64 | | | all_17_4, all_30_0, all_17_1, simplifying with (18), (19), % 19.67/3.64 | | | (20), (24), (100), (103) gives: % 19.67/3.64 | | | (122) all_30_0 = 0 | all_17_1 = 0 | ? [v0: any] : ? [v1: any] : ? % 19.67/3.64 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_0, % 19.67/3.64 | | | all_17_3) = v2 & apart_point_and_line(all_17_2, all_17_4) = % 19.67/3.64 | | | v3 & distinct_lines(all_17_3, all_17_4) = v1 & % 19.67/3.64 | | | distinct_points(all_17_0, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.64 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.64 | | | % 19.67/3.64 | | | GROUND_INST: instantiating (6) with all_17_0, all_17_0, all_17_4, % 19.67/3.64 | | | all_17_4, all_30_0, all_30_0, simplifying with (18), (100), % 19.67/3.64 | | | (103) gives: % 19.67/3.64 | | | (123) all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 19.67/3.64 | | | [v3: any] : (apart_point_and_line(all_17_0, all_17_4) = v3 & % 19.67/3.64 | | | apart_point_and_line(all_17_0, all_17_4) = v2 & % 19.67/3.64 | | | distinct_lines(all_17_4, all_17_4) = v1 & % 19.67/3.64 | | | distinct_points(all_17_0, all_17_0) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.64 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.64 | | | % 19.67/3.64 | | | GROUND_INST: instantiating (6) with all_17_0, all_17_2, all_17_4, % 19.67/3.64 | | | all_17_4, all_30_0, all_26_0, simplifying with (18), (20), % 19.67/3.64 | | | (43), (100), (103) gives: % 19.67/3.64 | | | (124) all_30_0 = 0 | all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 19.67/3.64 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_0, % 19.67/3.64 | | | all_17_4) = v2 & apart_point_and_line(all_17_2, all_17_4) = % 19.67/3.64 | | | v3 & distinct_lines(all_17_4, all_17_4) = v1 & % 19.67/3.64 | | | distinct_points(all_17_0, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.64 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.64 | | | % 19.67/3.64 | | | GROUND_INST: instantiating (6) with all_17_2, all_17_0, all_17_5, % 19.67/3.64 | | | all_17_4, all_34_0, all_30_0, simplifying with (17), (18), % 19.67/3.64 | | | (20), (57), (100), (103) gives: % 19.67/3.64 | | | (125) all_34_0 = 0 | all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 19.67/3.64 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_0, % 19.67/3.64 | | | all_17_5) = v3 & apart_point_and_line(all_17_2, all_17_4) = % 19.67/3.64 | | | v2 & distinct_lines(all_17_5, all_17_4) = v1 & % 19.67/3.64 | | | distinct_points(all_17_2, all_17_0) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.64 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.64 | | | % 19.67/3.64 | | | GROUND_INST: instantiating (6) with all_17_0, all_17_2, all_17_4, % 19.67/3.64 | | | all_17_5, all_30_0, all_34_0, simplifying with (17), (18), % 19.67/3.64 | | | (20), (57), (100), (103) gives: % 19.67/3.64 | | | (126) all_34_0 = 0 | all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 19.67/3.64 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_0, % 19.67/3.64 | | | all_17_5) = v2 & apart_point_and_line(all_17_2, all_17_4) = % 19.67/3.64 | | | v3 & distinct_lines(all_17_4, all_17_5) = v1 & % 19.67/3.64 | | | distinct_points(all_17_0, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.64 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.64 | | | % 19.67/3.64 | | | GROUND_INST: instantiating (5) with all_17_2, all_17_0, all_17_4, % 19.67/3.64 | | | all_17_5, all_34_0, all_30_0, simplifying with (17), (18), % 19.67/3.64 | | | (20), (57), (100), (103) gives: % 19.67/3.64 | | | (127) all_34_0 = 0 | all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 19.67/3.64 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_0, % 19.67/3.64 | | | all_17_5) = v3 & apart_point_and_line(all_17_2, all_17_4) = % 19.67/3.64 | | | v2 & distinct_lines(all_17_4, all_17_5) = v1 & % 19.67/3.64 | | | distinct_points(all_17_2, all_17_0) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.64 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.64 | | | % 19.67/3.64 | | | GROUND_INST: instantiating (8) with all_17_0, all_17_5, all_17_3, % 19.67/3.64 | | | all_24_0, simplifying with (17), (19), (25), (41), (103) % 19.67/3.64 | | | gives: % 19.67/3.64 | | | (128) all_24_0 = 0 | distinct_lines(all_17_5, all_17_3) = 0 % 19.67/3.64 | | | % 19.67/3.64 | | | GROUND_INST: instantiating (6) with all_17_2, all_17_0, all_17_3, % 19.67/3.64 | | | all_17_3, all_17_1, all_24_0, simplifying with (19), (20), % 19.67/3.64 | | | (24), (41), (103) gives: % 19.67/3.65 | | | (129) all_24_0 = 0 | all_17_1 = 0 | ? [v0: any] : ? [v1: any] : ? % 19.67/3.65 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_0, % 19.67/3.65 | | | all_17_3) = v3 & apart_point_and_line(all_17_2, all_17_3) = % 19.67/3.65 | | | v2 & distinct_lines(all_17_3, all_17_3) = v1 & % 19.67/3.65 | | | distinct_points(all_17_2, all_17_0) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.65 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.65 | | | % 19.67/3.65 | | | GROUND_INST: instantiating (6) with all_17_0, all_17_0, all_17_3, % 19.67/3.65 | | | all_17_3, all_24_0, all_24_0, simplifying with (19), (41), % 19.67/3.65 | | | (103) gives: % 19.67/3.65 | | | (130) all_24_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 19.67/3.65 | | | [v3: any] : (apart_point_and_line(all_17_0, all_17_3) = v3 & % 19.67/3.65 | | | apart_point_and_line(all_17_0, all_17_3) = v2 & % 19.67/3.65 | | | distinct_lines(all_17_3, all_17_3) = v1 & % 19.67/3.65 | | | distinct_points(all_17_0, all_17_0) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.65 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.65 | | | % 19.67/3.65 | | | GROUND_INST: instantiating (6) with all_17_0, all_17_2, all_17_3, % 19.67/3.65 | | | all_17_4, all_24_0, all_26_0, simplifying with (18), (19), % 19.67/3.65 | | | (20), (41), (43), (103) gives: % 19.67/3.65 | | | (131) all_26_0 = 0 | all_24_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 19.67/3.65 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_0, % 19.67/3.65 | | | all_17_4) = v2 & apart_point_and_line(all_17_2, all_17_3) = % 19.67/3.65 | | | v3 & distinct_lines(all_17_3, all_17_4) = v1 & % 19.67/3.65 | | | distinct_points(all_17_0, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.65 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.65 | | | % 19.67/3.65 | | | GROUND_INST: instantiating (5) with all_17_0, all_17_2, all_17_4, % 19.67/3.65 | | | all_17_3, all_24_0, all_26_0, simplifying with (18), (19), % 19.67/3.65 | | | (20), (41), (43), (103) gives: % 19.67/3.65 | | | (132) all_26_0 = 0 | all_24_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 19.67/3.65 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_0, % 19.67/3.65 | | | all_17_4) = v2 & apart_point_and_line(all_17_2, all_17_3) = % 19.67/3.65 | | | v3 & distinct_lines(all_17_4, all_17_3) = v1 & % 19.67/3.65 | | | distinct_points(all_17_0, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.65 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.65 | | | % 19.67/3.65 | | | GROUND_INST: instantiating (6) with all_36_1, all_17_2, all_17_5, % 19.67/3.65 | | | all_17_3, all_36_0, all_17_1, simplifying with (17), (19), % 19.67/3.65 | | | (20), (24), (60), (102) gives: % 19.67/3.65 | | | (133) all_36_0 = 0 | all_17_1 = 0 | ? [v0: any] : ? [v1: any] : ? % 19.67/3.65 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_36_1, % 19.67/3.65 | | | all_17_3) = v2 & apart_point_and_line(all_17_2, all_17_5) = % 19.67/3.65 | | | v3 & distinct_lines(all_17_5, all_17_3) = v1 & % 19.67/3.65 | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.65 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.65 | | | % 19.67/3.65 | | | GROUND_INST: instantiating (6) with all_36_1, all_17_2, all_17_3, % 19.67/3.65 | | | all_17_3, all_38_0, all_17_1, simplifying with (19), (20), % 19.67/3.65 | | | (24), (99), (102) gives: % 19.67/3.65 | | | (134) all_38_0 = 0 | all_17_1 = 0 | ? [v0: any] : ? [v1: any] : ? % 19.67/3.65 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_36_1, % 19.67/3.65 | | | all_17_3) = v2 & apart_point_and_line(all_17_2, all_17_3) = % 19.67/3.65 | | | v3 & distinct_lines(all_17_3, all_17_3) = v1 & % 19.67/3.65 | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.65 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.65 | | | % 19.67/3.65 | | | GROUND_INST: instantiating (6) with all_36_1, all_17_0, all_17_3, % 19.67/3.65 | | | all_17_3, all_38_0, all_24_0, simplifying with (19), (41), % 19.67/3.65 | | | (99), (102), (103) gives: % 19.67/3.65 | | | (135) all_38_0 = 0 | all_24_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 19.67/3.65 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_36_1, % 19.67/3.65 | | | all_17_3) = v2 & apart_point_and_line(all_17_0, all_17_3) = % 19.67/3.65 | | | v3 & distinct_lines(all_17_3, all_17_3) = v1 & % 19.67/3.65 | | | distinct_points(all_36_1, all_17_0) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.65 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.65 | | | % 19.67/3.65 | | | GROUND_INST: instantiating (6) with all_36_1, all_17_0, all_17_3, % 19.67/3.65 | | | all_17_4, all_38_0, all_30_0, simplifying with (18), (19), % 19.67/3.65 | | | (99), (100), (102), (103) gives: % 19.67/3.65 | | | (136) all_38_0 = 0 | all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 19.67/3.65 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_36_1, % 19.67/3.65 | | | all_17_4) = v2 & apart_point_and_line(all_17_0, all_17_3) = % 19.67/3.65 | | | v3 & distinct_lines(all_17_3, all_17_4) = v1 & % 19.67/3.65 | | | distinct_points(all_36_1, all_17_0) = v0 & ( ~ (v1 = 0) | ~ % 19.67/3.65 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 19.67/3.65 | | | % 19.67/3.65 | | | GROUND_INST: instantiating (5) with all_17_0, all_36_1, all_17_3, % 19.67/3.65 | | | all_17_4, all_30_0, all_38_0, simplifying with (18), (19), % 19.67/3.65 | | | (99), (100), (102), (103) gives: % 20.08/3.65 | | | (137) all_38_0 = 0 | all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.08/3.65 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_36_1, % 20.08/3.65 | | | all_17_4) = v3 & apart_point_and_line(all_17_0, all_17_3) = % 20.08/3.65 | | | v2 & distinct_lines(all_17_3, all_17_4) = v1 & % 20.08/3.65 | | | distinct_points(all_17_0, all_36_1) = v0 & ( ~ (v1 = 0) | ~ % 20.08/3.65 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.65 | | | % 20.08/3.65 | | | GROUND_INST: instantiating (5) with all_36_1, all_17_0, all_17_4, % 20.08/3.65 | | | all_17_3, all_38_0, all_30_0, simplifying with (18), (19), % 20.08/3.65 | | | (99), (100), (102), (103) gives: % 20.08/3.65 | | | (138) all_38_0 = 0 | all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.08/3.65 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_36_1, % 20.08/3.65 | | | all_17_4) = v2 & apart_point_and_line(all_17_0, all_17_3) = % 20.08/3.65 | | | v3 & distinct_lines(all_17_4, all_17_3) = v1 & % 20.08/3.65 | | | distinct_points(all_36_1, all_17_0) = v0 & ( ~ (v1 = 0) | ~ % 20.08/3.65 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.65 | | | % 20.08/3.66 | | | GROUND_INST: instantiating (6) with all_17_2, all_36_1, all_17_4, % 20.08/3.66 | | | all_17_3, all_26_0, all_38_0, simplifying with (18), (19), % 20.08/3.66 | | | (20), (43), (99), (102) gives: % 20.08/3.66 | | | (139) all_38_0 = 0 | all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.08/3.66 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_36_1, % 20.08/3.66 | | | all_17_4) = v3 & apart_point_and_line(all_17_2, all_17_3) = % 20.08/3.66 | | | v2 & distinct_lines(all_17_4, all_17_3) = v1 & % 20.08/3.66 | | | distinct_points(all_17_2, all_36_1) = v0 & ( ~ (v1 = 0) | ~ % 20.08/3.66 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.66 | | | % 20.08/3.66 | | | GROUND_INST: instantiating (6) with all_36_1, all_17_2, all_17_3, % 20.08/3.66 | | | all_17_4, all_38_0, all_26_0, simplifying with (18), (19), % 20.08/3.66 | | | (20), (43), (99), (102) gives: % 20.08/3.66 | | | (140) all_38_0 = 0 | all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.08/3.66 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_36_1, % 20.08/3.66 | | | all_17_4) = v2 & apart_point_and_line(all_17_2, all_17_3) = % 20.08/3.66 | | | v3 & distinct_lines(all_17_3, all_17_4) = v1 & % 20.08/3.66 | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 20.08/3.66 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.66 | | | % 20.08/3.66 | | | GROUND_INST: instantiating (5) with all_17_2, all_36_1, all_17_3, % 20.08/3.66 | | | all_17_4, all_26_0, all_38_0, simplifying with (18), (19), % 20.08/3.66 | | | (20), (43), (99), (102) gives: % 20.08/3.66 | | | (141) all_38_0 = 0 | all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.08/3.66 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_36_1, % 20.08/3.66 | | | all_17_4) = v3 & apart_point_and_line(all_17_2, all_17_3) = % 20.08/3.66 | | | v2 & distinct_lines(all_17_3, all_17_4) = v1 & % 20.08/3.66 | | | distinct_points(all_17_2, all_36_1) = v0 & ( ~ (v1 = 0) | ~ % 20.08/3.66 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.66 | | | % 20.08/3.66 | | | GROUND_INST: instantiating (5) with all_36_1, all_17_2, all_17_4, % 20.08/3.66 | | | all_17_3, all_38_0, all_26_0, simplifying with (18), (19), % 20.08/3.66 | | | (20), (43), (99), (102) gives: % 20.08/3.66 | | | (142) all_38_0 = 0 | all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.08/3.66 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_36_1, % 20.08/3.66 | | | all_17_4) = v2 & apart_point_and_line(all_17_2, all_17_3) = % 20.08/3.66 | | | v3 & distinct_lines(all_17_4, all_17_3) = v1 & % 20.08/3.66 | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 20.08/3.66 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.66 | | | % 20.08/3.66 | | | GROUND_INST: instantiating (6) with all_36_1, all_17_2, all_17_3, % 20.08/3.66 | | | all_17_5, all_38_0, all_34_0, simplifying with (17), (19), % 20.08/3.66 | | | (20), (57), (99), (102) gives: % 20.08/3.66 | | | (143) all_38_0 = 0 | all_34_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.08/3.66 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_36_1, % 20.08/3.66 | | | all_17_5) = v2 & apart_point_and_line(all_17_2, all_17_3) = % 20.08/3.66 | | | v3 & distinct_lines(all_17_3, all_17_5) = v1 & % 20.08/3.66 | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 20.08/3.66 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.66 | | | % 20.08/3.66 | | | GROUND_INST: instantiating (5) with all_17_2, all_36_1, all_17_3, % 20.08/3.66 | | | all_17_5, all_34_0, all_38_0, simplifying with (17), (19), % 20.08/3.66 | | | (20), (57), (99), (102) gives: % 20.08/3.66 | | | (144) all_38_0 = 0 | all_34_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.08/3.66 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_36_1, % 20.08/3.66 | | | all_17_5) = v3 & apart_point_and_line(all_17_2, all_17_3) = % 20.08/3.66 | | | v2 & distinct_lines(all_17_3, all_17_5) = v1 & % 20.08/3.66 | | | distinct_points(all_17_2, all_36_1) = v0 & ( ~ (v1 = 0) | ~ % 20.08/3.66 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.66 | | | % 20.08/3.66 | | | GROUND_INST: instantiating (5) with all_36_1, all_17_2, all_17_5, % 20.08/3.66 | | | all_17_3, all_38_0, all_34_0, simplifying with (17), (19), % 20.08/3.66 | | | (20), (57), (99), (102) gives: % 20.08/3.66 | | | (145) all_38_0 = 0 | all_34_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.08/3.66 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_36_1, % 20.08/3.66 | | | all_17_5) = v2 & apart_point_and_line(all_17_2, all_17_3) = % 20.08/3.66 | | | v3 & distinct_lines(all_17_5, all_17_3) = v1 & % 20.08/3.66 | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 20.08/3.66 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.66 | | | % 20.08/3.66 | | | BETA: splitting (128) gives: % 20.08/3.66 | | | % 20.08/3.66 | | | Case 1: % 20.08/3.66 | | | | % 20.08/3.66 | | | | (146) distinct_lines(all_17_5, all_17_3) = 0 % 20.08/3.66 | | | | % 20.08/3.66 | | | | BETA: splitting (113) gives: % 20.08/3.66 | | | | % 20.08/3.66 | | | | Case 1: % 20.08/3.66 | | | | | % 20.08/3.66 | | | | | (147) distinct_points(all_17_0, all_17_2) = 0 % 20.08/3.66 | | | | | % 20.08/3.66 | | | | | BETA: splitting (115) gives: % 20.08/3.66 | | | | | % 20.08/3.66 | | | | | Case 1: % 20.08/3.66 | | | | | | % 20.08/3.66 | | | | | | (148) all_34_0 = 0 % 20.08/3.66 | | | | | | % 20.08/3.66 | | | | | | REDUCE: (110), (148) imply: % 20.08/3.66 | | | | | | (149) $false % 20.08/3.66 | | | | | | % 20.08/3.66 | | | | | | CLOSE: (149) is inconsistent. % 20.08/3.66 | | | | | | % 20.08/3.66 | | | | | Case 2: % 20.08/3.66 | | | | | | % 20.08/3.66 | | | | | | (150) all_17_1 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 20.08/3.66 | | | | | | ? [v3: any] : (apart_point_and_line(all_17_2, all_17_3) = % 20.08/3.66 | | | | | | v2 & apart_point_and_line(all_17_2, all_17_5) = v3 & % 20.08/3.66 | | | | | | distinct_lines(all_17_5, all_17_3) = v1 & % 20.08/3.66 | | | | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ (v1 = 0) | % 20.08/3.66 | | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.66 | | | | | | % 20.08/3.66 | | | | | | BETA: splitting (118) gives: % 20.08/3.66 | | | | | | % 20.08/3.66 | | | | | | Case 1: % 20.08/3.66 | | | | | | | % 20.08/3.66 | | | | | | | (151) all_26_0 = 0 % 20.08/3.66 | | | | | | | % 20.08/3.66 | | | | | | | REDUCE: (109), (151) imply: % 20.08/3.66 | | | | | | | (152) $false % 20.08/3.66 | | | | | | | % 20.08/3.66 | | | | | | | CLOSE: (152) is inconsistent. % 20.08/3.66 | | | | | | | % 20.08/3.66 | | | | | | Case 2: % 20.08/3.66 | | | | | | | % 20.08/3.66 | | | | | | | (153) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] % 20.08/3.66 | | | | | | | : (apart_point_and_line(all_17_2, all_17_4) = v3 & % 20.08/3.66 | | | | | | | apart_point_and_line(all_17_2, all_17_4) = v2 & % 20.08/3.66 | | | | | | | distinct_lines(all_17_4, all_17_4) = v1 & % 20.08/3.66 | | | | | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ (v1 = 0) % 20.08/3.66 | | | | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.66 | | | | | | | % 20.08/3.66 | | | | | | | DELTA: instantiating (153) with fresh symbols all_109_0, % 20.08/3.66 | | | | | | | all_109_1, all_109_2, all_109_3 gives: % 20.08/3.67 | | | | | | | (154) apart_point_and_line(all_17_2, all_17_4) = all_109_0 & % 20.08/3.67 | | | | | | | apart_point_and_line(all_17_2, all_17_4) = all_109_1 & % 20.08/3.67 | | | | | | | distinct_lines(all_17_4, all_17_4) = all_109_2 & % 20.08/3.67 | | | | | | | distinct_points(all_17_2, all_17_2) = all_109_3 & ( ~ % 20.08/3.67 | | | | | | | (all_109_2 = 0) | ~ (all_109_3 = 0) | all_109_0 = 0 | % 20.08/3.67 | | | | | | | all_109_1 = 0) % 20.08/3.67 | | | | | | | % 20.08/3.67 | | | | | | | ALPHA: (154) implies: % 20.08/3.67 | | | | | | | (155) apart_point_and_line(all_17_2, all_17_4) = all_109_1 % 20.08/3.67 | | | | | | | (156) apart_point_and_line(all_17_2, all_17_4) = all_109_0 % 20.08/3.67 | | | | | | | % 20.08/3.67 | | | | | | | BETA: splitting (135) gives: % 20.08/3.67 | | | | | | | % 20.08/3.67 | | | | | | | Case 1: % 20.08/3.67 | | | | | | | | % 20.08/3.67 | | | | | | | | (157) all_38_0 = 0 % 20.08/3.67 | | | | | | | | % 20.08/3.67 | | | | | | | | REDUCE: (63), (157) imply: % 20.08/3.67 | | | | | | | | (158) $false % 20.08/3.67 | | | | | | | | % 20.08/3.67 | | | | | | | | CLOSE: (158) is inconsistent. % 20.08/3.67 | | | | | | | | % 20.08/3.67 | | | | | | | Case 2: % 20.08/3.67 | | | | | | | | % 20.08/3.67 | | | | | | | | (159) all_24_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 20.08/3.67 | | | | | | | | any] : ? [v3: any] : (apart_point_and_line(all_36_1, % 20.08/3.67 | | | | | | | | all_17_3) = v2 & apart_point_and_line(all_17_0, % 20.08/3.67 | | | | | | | | all_17_3) = v3 & distinct_lines(all_17_3, all_17_3) % 20.08/3.67 | | | | | | | | = v1 & distinct_points(all_36_1, all_17_0) = v0 & ( ~ % 20.08/3.67 | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.67 | | | | | | | | % 20.08/3.67 | | | | | | | | BETA: splitting (129) gives: % 20.08/3.67 | | | | | | | | % 20.08/3.67 | | | | | | | | Case 1: % 20.08/3.67 | | | | | | | | | % 20.08/3.67 | | | | | | | | | (160) all_24_0 = 0 % 20.08/3.67 | | | | | | | | | % 20.08/3.67 | | | | | | | | | REDUCE: (112), (160) imply: % 20.08/3.67 | | | | | | | | | (161) $false % 20.08/3.67 | | | | | | | | | % 20.08/3.67 | | | | | | | | | CLOSE: (161) is inconsistent. % 20.08/3.67 | | | | | | | | | % 20.08/3.67 | | | | | | | | Case 2: % 20.08/3.67 | | | | | | | | | % 20.08/3.67 | | | | | | | | | (162) all_17_1 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 20.08/3.67 | | | | | | | | | any] : ? [v3: any] : % 20.08/3.67 | | | | | | | | | (apart_point_and_line(all_17_0, all_17_3) = v3 & % 20.08/3.67 | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v2 & % 20.08/3.67 | | | | | | | | | distinct_lines(all_17_3, all_17_3) = v1 & % 20.08/3.67 | | | | | | | | | distinct_points(all_17_2, all_17_0) = v0 & ( ~ (v1 % 20.08/3.67 | | | | | | | | | = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.67 | | | | | | | | | % 20.08/3.67 | | | | | | | | | BETA: splitting (126) gives: % 20.08/3.67 | | | | | | | | | % 20.08/3.67 | | | | | | | | | Case 1: % 20.08/3.67 | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | (163) all_34_0 = 0 % 20.08/3.67 | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | REDUCE: (110), (163) imply: % 20.08/3.67 | | | | | | | | | | (164) $false % 20.08/3.67 | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | CLOSE: (164) is inconsistent. % 20.08/3.67 | | | | | | | | | | % 20.08/3.67 | | | | | | | | | Case 2: % 20.08/3.67 | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | (165) all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.08/3.67 | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.08/3.67 | | | | | | | | | | (apart_point_and_line(all_17_0, all_17_5) = v2 & % 20.08/3.67 | | | | | | | | | | apart_point_and_line(all_17_2, all_17_4) = v3 & % 20.08/3.67 | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 & % 20.08/3.67 | | | | | | | | | | distinct_points(all_17_0, all_17_2) = v0 & ( ~ % 20.08/3.67 | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.67 | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | BETA: splitting (125) gives: % 20.08/3.67 | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | Case 1: % 20.08/3.67 | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | (166) all_34_0 = 0 % 20.08/3.67 | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | REDUCE: (110), (166) imply: % 20.08/3.67 | | | | | | | | | | | (167) $false % 20.08/3.67 | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | CLOSE: (167) is inconsistent. % 20.08/3.67 | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | Case 2: % 20.08/3.67 | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | (168) all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.08/3.67 | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.08/3.67 | | | | | | | | | | | (apart_point_and_line(all_17_0, all_17_5) = v3 & % 20.08/3.67 | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_4) = v2 & % 20.08/3.67 | | | | | | | | | | | distinct_lines(all_17_5, all_17_4) = v1 & % 20.08/3.67 | | | | | | | | | | | distinct_points(all_17_2, all_17_0) = v0 & ( ~ % 20.08/3.67 | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.67 | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | BETA: splitting (145) gives: % 20.08/3.67 | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | Case 1: % 20.08/3.67 | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | (169) all_38_0 = 0 % 20.08/3.67 | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | REDUCE: (63), (169) imply: % 20.08/3.67 | | | | | | | | | | | | (170) $false % 20.08/3.67 | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | CLOSE: (170) is inconsistent. % 20.08/3.67 | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | Case 2: % 20.08/3.67 | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | (171) all_34_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.08/3.67 | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.08/3.67 | | | | | | | | | | | | (apart_point_and_line(all_36_1, all_17_5) = v2 & % 20.08/3.67 | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v3 & % 20.08/3.67 | | | | | | | | | | | | distinct_lines(all_17_5, all_17_3) = v1 & % 20.08/3.67 | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~ % 20.08/3.67 | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.67 | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | BETA: splitting (134) gives: % 20.08/3.67 | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | Case 1: % 20.08/3.67 | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | (172) all_38_0 = 0 % 20.08/3.67 | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | REDUCE: (63), (172) imply: % 20.08/3.67 | | | | | | | | | | | | | (173) $false % 20.08/3.67 | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | CLOSE: (173) is inconsistent. % 20.08/3.67 | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | Case 2: % 20.08/3.67 | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | (174) all_17_1 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.08/3.67 | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.08/3.67 | | | | | | | | | | | | | (apart_point_and_line(all_36_1, all_17_3) = v2 & % 20.08/3.67 | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v3 & % 20.08/3.67 | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_3) = v1 & % 20.08/3.67 | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~ % 20.08/3.67 | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.67 | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | BETA: splitting (127) gives: % 20.08/3.67 | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | Case 1: % 20.08/3.67 | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | (175) all_34_0 = 0 % 20.08/3.67 | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | REDUCE: (110), (175) imply: % 20.08/3.67 | | | | | | | | | | | | | | (176) $false % 20.08/3.67 | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | CLOSE: (176) is inconsistent. % 20.08/3.67 | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | Case 2: % 20.08/3.67 | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | (177) all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.08/3.67 | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.08/3.67 | | | | | | | | | | | | | | (apart_point_and_line(all_17_0, all_17_5) = v3 & % 20.08/3.67 | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_4) = v2 & % 20.08/3.67 | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 & % 20.08/3.67 | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_0) = v0 & ( ~ % 20.08/3.67 | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.67 | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | BETA: splitting (137) gives: % 20.08/3.67 | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | Case 1: % 20.08/3.67 | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | (178) all_38_0 = 0 % 20.08/3.67 | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | REDUCE: (63), (178) imply: % 20.08/3.67 | | | | | | | | | | | | | | | (179) $false % 20.08/3.67 | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | CLOSE: (179) is inconsistent. % 20.08/3.67 | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | Case 2: % 20.08/3.67 | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | (180) all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.08/3.67 | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.08/3.67 | | | | | | | | | | | | | | | (apart_point_and_line(all_36_1, all_17_4) = v3 & % 20.08/3.67 | | | | | | | | | | | | | | | apart_point_and_line(all_17_0, all_17_3) = v2 & % 20.08/3.67 | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_4) = v1 & % 20.08/3.67 | | | | | | | | | | | | | | | distinct_points(all_17_0, all_36_1) = v0 & ( ~ % 20.08/3.67 | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.67 | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | BETA: splitting (144) gives: % 20.08/3.67 | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | Case 1: % 20.08/3.67 | | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | | (181) all_38_0 = 0 % 20.08/3.67 | | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | | REDUCE: (63), (181) imply: % 20.08/3.67 | | | | | | | | | | | | | | | | (182) $false % 20.08/3.67 | | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | | CLOSE: (182) is inconsistent. % 20.08/3.67 | | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | Case 2: % 20.08/3.67 | | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | | (183) all_34_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.08/3.67 | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.08/3.67 | | | | | | | | | | | | | | | | (apart_point_and_line(all_36_1, all_17_5) = v3 & % 20.08/3.67 | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v2 & % 20.08/3.67 | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_5) = v1 & % 20.08/3.67 | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_36_1) = v0 & ( ~ % 20.08/3.67 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.67 | | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | | BETA: splitting (143) gives: % 20.08/3.67 | | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | | Case 1: % 20.08/3.67 | | | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | | | (184) all_38_0 = 0 % 20.08/3.67 | | | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | | | REDUCE: (63), (184) imply: % 20.08/3.67 | | | | | | | | | | | | | | | | | (185) $false % 20.08/3.67 | | | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | | | CLOSE: (185) is inconsistent. % 20.08/3.67 | | | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | | Case 2: % 20.08/3.67 | | | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | | | (186) all_34_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.08/3.67 | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.08/3.67 | | | | | | | | | | | | | | | | | (apart_point_and_line(all_36_1, all_17_5) = v2 & % 20.08/3.67 | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v3 & % 20.08/3.67 | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_5) = v1 & % 20.08/3.67 | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~ % 20.08/3.67 | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.67 | | | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | | | BETA: splitting (140) gives: % 20.08/3.67 | | | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | | | Case 1: % 20.08/3.67 | | | | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | | | | (187) all_38_0 = 0 % 20.08/3.67 | | | | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | | | | REDUCE: (63), (187) imply: % 20.08/3.67 | | | | | | | | | | | | | | | | | | (188) $false % 20.08/3.67 | | | | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | | | | CLOSE: (188) is inconsistent. % 20.08/3.67 | | | | | | | | | | | | | | | | | | % 20.08/3.67 | | | | | | | | | | | | | | | | | Case 2: % 20.08/3.67 | | | | | | | | | | | | | | | | | | % 20.08/3.68 | | | | | | | | | | | | | | | | | | (189) all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.08/3.68 | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.08/3.68 | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_36_1, all_17_4) = v2 & % 20.08/3.68 | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v3 & % 20.08/3.68 | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_4) = v1 & % 20.08/3.68 | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~ % 20.08/3.68 | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.68 | | | | | | | | | | | | | | | | | | % 20.08/3.68 | | | | | | | | | | | | | | | | | | BETA: splitting (141) gives: % 20.08/3.68 | | | | | | | | | | | | | | | | | | % 20.08/3.68 | | | | | | | | | | | | | | | | | | Case 1: % 20.08/3.68 | | | | | | | | | | | | | | | | | | | % 20.08/3.68 | | | | | | | | | | | | | | | | | | | (190) all_38_0 = 0 % 20.08/3.68 | | | | | | | | | | | | | | | | | | | % 20.08/3.68 | | | | | | | | | | | | | | | | | | | REDUCE: (63), (190) imply: % 20.08/3.68 | | | | | | | | | | | | | | | | | | | (191) $false % 20.08/3.68 | | | | | | | | | | | | | | | | | | | % 20.08/3.68 | | | | | | | | | | | | | | | | | | | CLOSE: (191) is inconsistent. % 20.08/3.68 | | | | | | | | | | | | | | | | | | | % 20.08/3.68 | | | | | | | | | | | | | | | | | | Case 2: % 20.08/3.68 | | | | | | | | | | | | | | | | | | | % 20.08/3.68 | | | | | | | | | | | | | | | | | | | (192) all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.08/3.68 | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.08/3.68 | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_36_1, all_17_4) = v3 & % 20.08/3.68 | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v2 & % 20.08/3.68 | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_4) = v1 & % 20.08/3.68 | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_36_1) = v0 & ( ~ % 20.08/3.68 | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.68 | | | | | | | | | | | | | | | | | | | % 20.08/3.68 | | | | | | | | | | | | | | | | | | | BETA: splitting (142) gives: % 20.08/3.68 | | | | | | | | | | | | | | | | | | | % 20.08/3.68 | | | | | | | | | | | | | | | | | | | Case 1: % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | (193) all_38_0 = 0 % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (193) imply: % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | (194) $false % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | CLOSE: (194) is inconsistent. % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | % 20.08/3.68 | | | | | | | | | | | | | | | | | | | Case 2: % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | (195) all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_36_1, all_17_4) = v2 & % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v3 & % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_3) = v1 & % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~ % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | BETA: splitting (136) gives: % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | Case 1: % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | | % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | | (196) all_38_0 = 0 % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | | % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (196) imply: % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | | (197) $false % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | | % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | | CLOSE: (197) is inconsistent. % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | | % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | Case 2: % 20.08/3.68 | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | (198) all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_36_1, all_17_4) = v2 & % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_0, all_17_3) = v3 & % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_4) = v1 & % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_0) = v0 & ( ~ % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (138) gives: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | (199) all_38_0 = 0 % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (199) imply: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | (200) $false % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (200) is inconsistent. % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | (201) all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_36_1, all_17_4) = v2 & % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_0, all_17_3) = v3 & % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_3) = v1 & % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_0) = v0 & ( ~ % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (139) gives: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | (202) all_38_0 = 0 % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (202) imply: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | (203) $false % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (203) is inconsistent. % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | (204) all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_36_1, all_17_4) = v3 & % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v2 & % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_3) = v1 & % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_36_1) = v0 & ( ~ % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | (205) all_17_1 = 0 % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (205) imply: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | (206) $false % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (206) is inconsistent. % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | (207) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_2, % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = v2 & % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v3 & % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_3) = v1 & % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (207) with fresh symbols all_190_0, % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | all_190_1, all_190_2, all_190_3 gives: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | (208) apart_point_and_line(all_17_2, all_17_3) = % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | all_190_1 & apart_point_and_line(all_17_2, % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_190_0 & distinct_lines(all_17_5, % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_190_2 & % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = all_190_3 & % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_190_2 = 0) | ~ (all_190_3 = 0) | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | all_190_0 = 0 | all_190_1 = 0) % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (208) implies: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | (209) distinct_lines(all_17_5, all_17_3) = all_190_2 % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | (210) apart_point_and_line(all_17_2, all_17_5) = % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | all_190_0 % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | (211) apart_point_and_line(all_17_2, all_17_3) = % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | all_190_1 % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | (212) ~ (all_190_2 = 0) | ~ (all_190_3 = 0) | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | all_190_0 = 0 | all_190_1 = 0 % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (133) gives: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | (213) all_36_0 = 0 % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (213) imply: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | (214) $false % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (214) is inconsistent. % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | (215) all_17_1 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_36_1, all_17_3) = v2 & % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v3 & % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_3) = v1 & % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~ % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (114) gives: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (216) all_34_0 = 0 % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (216) imply: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (217) $false % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (217) is inconsistent. % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (218) all_17_1 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_17_2, all_17_3) = v3 & % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v2 & % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_5) = v1 & % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (119) gives: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (219) all_34_0 = 0 % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (219) imply: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (220) $false % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (220) is inconsistent. % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (221) all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_17_2, all_17_4) = v3 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v2 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (120) gives: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222) all_34_0 = 0 % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (222) imply: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223) $false % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (223) is inconsistent. % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224) all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_17_2, all_17_4) = v2 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v3 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (117) gives: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225) all_26_0 = 0 % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (225) imply: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226) $false % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (226) is inconsistent. % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227) all_17_1 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_17_2, all_17_3) = v2 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_4) = v3 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_4) = v1 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228) all_26_0 = 0 % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (228) imply: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229) $false % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (229) is inconsistent. % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_36_1, % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v3 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v2 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_3) = v1 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_36_1) = v0 & ( ~ % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (230) with fresh symbols all_213_0, % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_213_1, all_213_2, all_213_3 gives: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231) apart_point_and_line(all_36_1, all_17_4) = % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_213_0 & apart_point_and_line(all_17_2, % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_213_1 & distinct_lines(all_17_4, % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_213_2 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_36_1) = all_213_3 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_213_2 = 0) | ~ (all_213_3 = 0) | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_213_0 = 0 | all_213_1 = 0) % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (231) implies: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232) distinct_lines(all_17_4, all_17_3) = all_213_2 % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233) apart_point_and_line(all_17_2, all_17_3) = % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_213_1 % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (130) gives: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234) all_24_0 = 0 % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (234) imply: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235) $false % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (235) is inconsistent. % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_0, % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = v3 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_0, all_17_3) = v2 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_3) = v1 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_17_0) = v0 & ( ~ % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (236) with fresh symbols all_219_0, % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_219_1, all_219_2, all_219_3 gives: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237) apart_point_and_line(all_17_0, all_17_3) = % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_219_0 & apart_point_and_line(all_17_0, % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_219_1 & distinct_lines(all_17_3, % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_219_2 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_17_0) = all_219_3 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_219_2 = 0) | ~ (all_219_3 = 0) | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_219_0 = 0 | all_219_1 = 0) % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (237) implies: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238) apart_point_and_line(all_17_0, all_17_3) = % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_219_1 % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239) apart_point_and_line(all_17_0, all_17_3) = % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_219_0 % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (123) gives: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240) all_30_0 = 0 % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (240) imply: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241) $false % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (241) is inconsistent. % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_0, % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v3 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_0, all_17_4) = v2 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_4) = v1 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_17_0) = v0 & ( ~ % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (242) with fresh symbols all_224_0, % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_224_1, all_224_2, all_224_3 gives: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243) apart_point_and_line(all_17_0, all_17_4) = % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_224_0 & apart_point_and_line(all_17_0, % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_224_1 & distinct_lines(all_17_4, % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_224_2 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_17_0) = all_224_3 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_224_2 = 0) | ~ (all_224_3 = 0) | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_224_0 = 0 | all_224_1 = 0) % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (243) implies: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244) apart_point_and_line(all_17_0, all_17_4) = % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_224_1 % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245) apart_point_and_line(all_17_0, all_17_4) = % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_224_0 % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (116) gives: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246) all_34_0 = 0 % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (246) imply: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247) $false % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (247) is inconsistent. % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (248) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_2, % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = v3 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v2 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_5) = v1 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (248) with fresh symbols all_234_0, % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_234_1, all_234_2, all_234_3 gives: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (249) apart_point_and_line(all_17_2, all_17_5) = % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_234_0 & apart_point_and_line(all_17_2, % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_234_1 & distinct_lines(all_17_5, % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_234_2 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = all_234_3 & % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_234_2 = 0) | ~ (all_234_3 = 0) | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_234_0 = 0 | all_234_1 = 0) % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (249) implies: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250) apart_point_and_line(all_17_2, all_17_5) = % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_234_1 % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251) apart_point_and_line(all_17_2, all_17_5) = % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_234_0 % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (252) all_26_0 = 0 % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (252) imply: % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (253) $false % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (253) is inconsistent. % 20.20/3.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (254) all_24_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_17_0, all_17_4) = v2 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v3 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_4) = v1 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_17_2) = v0 & ( ~ % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (122) gives: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (255) all_30_0 = 0 % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (255) imply: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (256) $false % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (256) is inconsistent. % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257) all_17_1 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_17_0, all_17_3) = v2 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_4) = v3 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_4) = v1 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_17_2) = v0 & ( ~ % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258) all_24_0 = 0 % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (258) imply: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259) $false % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (259) is inconsistent. % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (260) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_36_1, % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = v2 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_0, all_17_3) = v3 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_3) = v1 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_0) = v0 & ( ~ % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (260) with fresh symbols all_326_0, % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_326_1, all_326_2, all_326_3 gives: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (261) apart_point_and_line(all_36_1, all_17_3) = % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_326_1 & apart_point_and_line(all_17_0, % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_326_0 & distinct_lines(all_17_3, % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_326_2 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_0) = all_326_3 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_326_2 = 0) | ~ (all_326_3 = 0) | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_326_0 = 0 | all_326_1 = 0) % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (261) implies: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (262) apart_point_and_line(all_17_0, all_17_3) = % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_326_0 % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (263) all_17_1 = 0 % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (263) imply: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (264) $false % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (264) is inconsistent. % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (265) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_0, % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = v3 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v2 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_3) = v1 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_0) = v0 & ( ~ % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (265) with fresh symbols all_331_0, % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_331_1, all_331_2, all_331_3 gives: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (266) apart_point_and_line(all_17_0, all_17_3) = % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_331_0 & apart_point_and_line(all_17_2, % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_331_1 & distinct_lines(all_17_3, % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_331_2 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_0) = all_331_3 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_331_2 = 0) | ~ (all_331_3 = 0) | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_331_0 = 0 | all_331_1 = 0) % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (266) implies: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (267) apart_point_and_line(all_17_2, all_17_3) = % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_331_1 % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (268) apart_point_and_line(all_17_0, all_17_3) = % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_331_0 % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269) all_30_0 = 0 % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (269) imply: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270) $false % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (270) is inconsistent. % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_0, % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = v2 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_4) = v3 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_17_2) = v0 & ( ~ % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (271) with fresh symbols all_336_0, % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_336_1, all_336_2, all_336_3 gives: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272) apart_point_and_line(all_17_0, all_17_5) = % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_336_1 & apart_point_and_line(all_17_2, % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_336_0 & distinct_lines(all_17_4, % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_336_2 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_17_2) = all_336_3 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_336_2 = 0) | ~ (all_336_3 = 0) | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_336_0 = 0 | all_336_1 = 0) % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (272) implies: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (273) distinct_points(all_17_0, all_17_2) = all_336_3 % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (274) apart_point_and_line(all_17_2, all_17_4) = % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_336_0 % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275) all_30_0 = 0 % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (275) imply: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (276) $false % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (276) is inconsistent. % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (277) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_0, % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = v3 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_4) = v2 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_4) = v1 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_0) = v0 & ( ~ % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (277) with fresh symbols all_341_0, % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_341_1, all_341_2, all_341_3 gives: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (278) apart_point_and_line(all_17_0, all_17_5) = % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_341_0 & apart_point_and_line(all_17_2, % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_341_1 & distinct_lines(all_17_5, % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_341_2 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_0) = all_341_3 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_341_2 = 0) | ~ (all_341_3 = 0) | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_341_0 = 0 | all_341_1 = 0) % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (278) implies: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (279) apart_point_and_line(all_17_2, all_17_4) = % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_341_1 % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (280) all_34_0 = 0 % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (280) imply: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (281) $false % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (281) is inconsistent. % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (282) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_36_1, % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = v2 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v3 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_3) = v1 & % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~ % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (282) with fresh symbols all_346_0, % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_346_1, all_346_2, all_346_3 gives: % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (283) apart_point_and_line(all_36_1, all_17_5) = % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_346_1 & apart_point_and_line(all_17_2, % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_346_0 & distinct_lines(all_17_5, % 20.20/3.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_346_2 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = all_346_3 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_346_2 = 0) | ~ (all_346_3 = 0) | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_346_0 = 0 | all_346_1 = 0) % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (283) implies: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (284) distinct_lines(all_17_5, all_17_3) = all_346_2 % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (285) apart_point_and_line(all_17_2, all_17_3) = % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_346_0 % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (286) all_17_1 = 0 % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (286) imply: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (287) $false % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (287) is inconsistent. % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (288) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_36_1, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = v2 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v3 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_3) = v1 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~ % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (288) with fresh symbols all_351_0, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_351_1, all_351_2, all_351_3 gives: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (289) apart_point_and_line(all_36_1, all_17_3) = % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_351_1 & apart_point_and_line(all_17_2, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_351_0 & distinct_lines(all_17_3, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_351_2 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = all_351_3 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_351_2 = 0) | ~ (all_351_3 = 0) | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_351_0 = 0 | all_351_1 = 0) % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (289) implies: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (290) apart_point_and_line(all_17_2, all_17_3) = % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_351_0 % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (291) all_30_0 = 0 % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (291) imply: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (292) $false % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (292) is inconsistent. % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (293) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_0, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = v3 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_4) = v2 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_0) = v0 & ( ~ % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (293) with fresh symbols all_356_0, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_356_1, all_356_2, all_356_3 gives: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (294) apart_point_and_line(all_17_0, all_17_5) = % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_356_0 & apart_point_and_line(all_17_2, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_356_1 & distinct_lines(all_17_4, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_356_2 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_0) = all_356_3 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_356_2 = 0) | ~ (all_356_3 = 0) | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_356_0 = 0 | all_356_1 = 0) % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (294) implies: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (295) apart_point_and_line(all_17_2, all_17_4) = % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_356_1 % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (296) all_30_0 = 0 % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (296) imply: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (297) $false % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (297) is inconsistent. % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (298) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_36_1, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v3 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_0, all_17_3) = v2 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_4) = v1 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_36_1) = v0 & ( ~ % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (298) with fresh symbols all_361_0, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_361_1, all_361_2, all_361_3 gives: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (299) apart_point_and_line(all_36_1, all_17_4) = % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_361_0 & apart_point_and_line(all_17_0, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_361_1 & distinct_lines(all_17_3, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_361_2 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_36_1) = all_361_3 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_361_2 = 0) | ~ (all_361_3 = 0) | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_361_0 = 0 | all_361_1 = 0) % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (299) implies: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (300) apart_point_and_line(all_17_0, all_17_3) = % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_361_1 % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (301) all_34_0 = 0 % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (301) imply: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (302) $false % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (302) is inconsistent. % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (303) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_36_1, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = v3 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v2 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_5) = v1 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_36_1) = v0 & ( ~ % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (303) with fresh symbols all_366_0, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_366_1, all_366_2, all_366_3 gives: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (304) apart_point_and_line(all_36_1, all_17_5) = % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_366_0 & apart_point_and_line(all_17_2, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_366_1 & distinct_lines(all_17_3, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_366_2 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_36_1) = all_366_3 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_366_2 = 0) | ~ (all_366_3 = 0) | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_366_0 = 0 | all_366_1 = 0) % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (304) implies: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (305) apart_point_and_line(all_17_2, all_17_3) = % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_366_1 % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (306) all_34_0 = 0 % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (306) imply: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (307) $false % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (307) is inconsistent. % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (308) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_36_1, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = v2 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v3 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_5) = v1 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~ % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (308) with fresh symbols all_381_0, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_381_1, all_381_2, all_381_3 gives: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (309) apart_point_and_line(all_36_1, all_17_5) = % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_381_1 & apart_point_and_line(all_17_2, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_381_0 & distinct_lines(all_17_3, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_381_2 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = all_381_3 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_381_2 = 0) | ~ (all_381_3 = 0) | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_381_0 = 0 | all_381_1 = 0) % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (309) implies: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (310) apart_point_and_line(all_17_2, all_17_3) = % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_381_0 % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (311) all_26_0 = 0 % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (311) imply: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (312) $false % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (312) is inconsistent. % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (313) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_36_1, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v2 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v3 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_4) = v1 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~ % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (313) with fresh symbols all_386_0, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_386_1, all_386_2, all_386_3 gives: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (314) apart_point_and_line(all_36_1, all_17_4) = % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_386_1 & apart_point_and_line(all_17_2, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_386_0 & distinct_lines(all_17_3, % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_386_2 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = all_386_3 & % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_386_2 = 0) | ~ (all_386_3 = 0) | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_386_0 = 0 | all_386_1 = 0) % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (314) implies: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (315) apart_point_and_line(all_17_2, all_17_3) = % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_386_0 % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (316) all_26_0 = 0 % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (316) imply: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (317) $false % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (317) is inconsistent. % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (318) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_36_1, % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v3 & % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v2 & % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_4) = v1 & % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_36_1) = v0 & ( ~ % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (318) with fresh symbols all_391_0, % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_391_1, all_391_2, all_391_3 gives: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (319) apart_point_and_line(all_36_1, all_17_4) = % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_391_0 & apart_point_and_line(all_17_2, % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_391_1 & distinct_lines(all_17_3, % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_391_2 & % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_36_1) = all_391_3 & % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_391_2 = 0) | ~ (all_391_3 = 0) | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_391_0 = 0 | all_391_1 = 0) % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (319) implies: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (320) apart_point_and_line(all_17_2, all_17_3) = % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_391_1 % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (321) all_26_0 = 0 % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (321) imply: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (322) $false % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (322) is inconsistent. % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (323) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_36_1, % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v2 & % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v3 & % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_3) = v1 & % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~ % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (323) with fresh symbols all_396_0, % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_396_1, all_396_2, all_396_3 gives: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (324) apart_point_and_line(all_36_1, all_17_4) = % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_396_1 & apart_point_and_line(all_17_2, % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_396_0 & distinct_lines(all_17_4, % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_396_2 & % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = all_396_3 & % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_396_2 = 0) | ~ (all_396_3 = 0) | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_396_0 = 0 | all_396_1 = 0) % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (324) implies: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (325) distinct_lines(all_17_4, all_17_3) = all_396_2 % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (326) apart_point_and_line(all_17_2, all_17_3) = % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_396_0 % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (327) all_30_0 = 0 % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (327) imply: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (328) $false % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (328) is inconsistent. % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (329) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_36_1, % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v2 & % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_0, all_17_3) = v3 & % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_4) = v1 & % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_0) = v0 & ( ~ % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (329) with fresh symbols all_401_0, % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_401_1, all_401_2, all_401_3 gives: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (330) apart_point_and_line(all_36_1, all_17_4) = % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_401_1 & apart_point_and_line(all_17_0, % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_401_0 & distinct_lines(all_17_3, % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_401_2 & % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_0) = all_401_3 & % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_401_2 = 0) | ~ (all_401_3 = 0) | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_401_0 = 0 | all_401_1 = 0) % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (330) implies: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (331) apart_point_and_line(all_17_0, all_17_3) = % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_401_0 % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (332) all_30_0 = 0 % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (332) imply: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (333) $false % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (333) is inconsistent. % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (334) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_36_1, % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v2 & % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_0, all_17_3) = v3 & % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_3) = v1 & % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_0) = v0 & ( ~ % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (334) with fresh symbols all_406_0, % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_406_1, all_406_2, all_406_3 gives: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (335) apart_point_and_line(all_36_1, all_17_4) = % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_406_1 & apart_point_and_line(all_17_0, % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_406_0 & distinct_lines(all_17_4, % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_406_2 & % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_0) = all_406_3 & % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_406_2 = 0) | ~ (all_406_3 = 0) | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_406_0 = 0 | all_406_1 = 0) % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (335) implies: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (336) distinct_lines(all_17_4, all_17_3) = all_406_2 % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (337) apart_point_and_line(all_17_0, all_17_3) = % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_406_0 % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (338) all_17_1 = 0 % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (338) imply: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (339) $false % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (339) is inconsistent. % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.20/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (340) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_36_1, % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = v2 & % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v3 & % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_3) = v1 & % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = v0 & ( ~ % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (340) with fresh symbols all_411_0, % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_411_1, all_411_2, all_411_3 gives: % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (341) apart_point_and_line(all_36_1, all_17_3) = % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_411_1 & apart_point_and_line(all_17_2, % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_411_0 & distinct_lines(all_17_5, % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_411_2 & % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_36_1, all_17_2) = all_411_3 & % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_411_2 = 0) | ~ (all_411_3 = 0) | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_411_0 = 0 | all_411_1 = 0) % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (341) implies: % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (342) distinct_lines(all_17_5, all_17_3) = all_411_2 % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (343) apart_point_and_line(all_17_2, all_17_5) = % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_411_0 % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives: % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (344) all_17_1 = 0 % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (344) imply: % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (345) $false % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (345) is inconsistent. % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (346) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_2, % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = v3 & % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v2 & % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_5) = v1 & % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (346) with fresh symbols all_416_0, % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_416_1, all_416_2, all_416_3 gives: % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (347) apart_point_and_line(all_17_2, all_17_3) = % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_416_0 & apart_point_and_line(all_17_2, % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_416_1 & distinct_lines(all_17_3, % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_416_2 & % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = all_416_3 & % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_416_2 = 0) | ~ (all_416_3 = 0) | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_416_0 = 0 | all_416_1 = 0) % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (347) implies: % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (348) apart_point_and_line(all_17_2, all_17_5) = % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_416_1 % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (349) apart_point_and_line(all_17_2, all_17_3) = % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_416_0 % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives: % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350) all_26_0 = 0 % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (350) imply: % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (351) $false % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (351) is inconsistent. % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (352) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_2, % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v3 & % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v2 & % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 & % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (352) with fresh symbols all_421_0, % 20.41/3.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_421_1, all_421_2, all_421_3 gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (353) apart_point_and_line(all_17_2, all_17_4) = % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_421_0 & apart_point_and_line(all_17_2, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_421_1 & distinct_lines(all_17_4, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_421_2 & % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = all_421_3 & % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_421_2 = 0) | ~ (all_421_3 = 0) | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_421_0 = 0 | all_421_1 = 0) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (353) implies: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (354) apart_point_and_line(all_17_2, all_17_5) = % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_421_1 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355) apart_point_and_line(all_17_2, all_17_4) = % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_421_0 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (356) all_26_0 = 0 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (356) imply: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (357) $false % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (357) is inconsistent. % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_2, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v2 & % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v3 & % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 & % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (358) with fresh symbols all_426_0, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_426_1, all_426_2, all_426_3 gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (359) apart_point_and_line(all_17_2, all_17_4) = % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_426_1 & apart_point_and_line(all_17_2, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_426_0 & distinct_lines(all_17_4, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_426_2 & % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = all_426_3 & % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_426_2 = 0) | ~ (all_426_3 = 0) | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_426_0 = 0 | all_426_1 = 0) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (359) implies: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (360) apart_point_and_line(all_17_2, all_17_5) = % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_426_0 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (361) apart_point_and_line(all_17_2, all_17_4) = % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_426_1 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362) all_17_1 = 0 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (362) imply: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363) $false % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (363) is inconsistent. % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (364) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_2, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = v2 & % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_4) = v3 & % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_4) = v1 & % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (364) with fresh symbols all_431_0, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_431_1, all_431_2, all_431_3 gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (365) apart_point_and_line(all_17_2, all_17_3) = % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_431_1 & apart_point_and_line(all_17_2, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_431_0 & distinct_lines(all_17_3, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_431_2 & % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = all_431_3 & % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_431_2 = 0) | ~ (all_431_3 = 0) | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_431_0 = 0 | all_431_1 = 0) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (365) implies: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (366) apart_point_and_line(all_17_2, all_17_4) = % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_431_0 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (367) apart_point_and_line(all_17_2, all_17_3) = % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_431_1 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with 0, all_336_3, all_17_2, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_0, simplifying with (147), (273) gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (368) all_336_3 = 0 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with 0, all_346_2, all_17_3, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, simplifying with (146), (284) gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (369) all_346_2 = 0 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_346_2, all_411_2, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_5, simplifying with (284), (342) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370) all_411_2 = all_346_2 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_190_2, all_411_2, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_5, simplifying with (209), (342) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (371) all_411_2 = all_190_2 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_396_2, all_406_2, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_4, simplifying with (325), (336) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (372) all_406_2 = all_396_2 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_213_2, all_406_2, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_4, simplifying with (232), (336) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373) all_406_2 = all_213_2 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_190_0, all_234_1, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (210), (250) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374) all_234_1 = all_190_0 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_34_0, all_411_0, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (57), (343) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (375) all_411_0 = all_34_0 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_234_1, all_411_0, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (250), (343) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376) all_411_0 = all_234_1 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_411_0, all_416_1, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (343), (348) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (377) all_416_1 = all_411_0 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_416_1, all_421_1, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (348), (354) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (378) all_421_1 = all_416_1 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_421_1, all_426_0, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (354), (360) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (379) all_426_0 = all_421_1 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_234_0, all_426_0, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (251), (360) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (380) all_426_0 = all_234_0 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_26_0, all_109_0, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_2, simplifying with (43), (156) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (381) all_109_0 = all_26_0 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_341_1, all_356_1, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_2, simplifying with (279), (295) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (382) all_356_1 = all_341_1 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_341_1, all_421_0, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_2, simplifying with (279), (355) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (383) all_421_0 = all_341_1 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_336_0, all_421_0, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_2, simplifying with (274), (355) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384) all_421_0 = all_336_0 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_109_0, all_421_0, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_2, simplifying with (156), (355) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (385) all_421_0 = all_109_0 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_356_1, all_426_1, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_2, simplifying with (295), (361) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386) all_426_1 = all_356_1 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_426_1, all_431_0, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_2, simplifying with (361), (366) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387) all_431_0 = all_426_1 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_109_1, all_431_0, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_2, simplifying with (155), (366) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (388) all_431_0 = all_109_1 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_331_1, all_346_0, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_2, simplifying with (267), (285) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389) all_346_0 = all_331_1 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_346_0, all_366_1, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_2, simplifying with (285), (305) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (390) all_366_1 = all_346_0 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_331_1, all_386_0, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_2, simplifying with (267), (315) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391) all_386_0 = all_331_1 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_190_1, all_386_0, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_2, simplifying with (211), (315) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (392) all_386_0 = all_190_1 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_381_0, all_391_1, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_2, simplifying with (310), (320) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (393) all_391_1 = all_381_0 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_391_1, all_396_0, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_2, simplifying with (320), (326) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (394) all_396_0 = all_391_1 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_351_0, all_396_0, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_2, simplifying with (290), (326) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (395) all_396_0 = all_351_0 % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_331_1, all_396_0, % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_2, simplifying with (267), (326) % 20.41/3.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (396) all_396_0 = all_331_1 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_17_1, all_416_0, % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_2, simplifying with (24), (349) % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (397) all_416_0 = all_17_1 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_391_1, all_416_0, % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_2, simplifying with (320), (349) % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (398) all_416_0 = all_391_1 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_366_1, all_431_1, % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_2, simplifying with (305), (367) % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (399) all_431_1 = all_366_1 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_213_1, all_431_1, % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_2, simplifying with (233), (367) % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (400) all_431_1 = all_213_1 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_30_0, all_224_0, % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_0, simplifying with (100), (245) % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (401) all_224_0 = all_30_0 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_224_1, all_224_0, % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_0, simplifying with (244), (245) % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (402) all_224_0 = all_224_1 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_24_0, all_219_0, % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_0, simplifying with (41), (239) % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (403) all_219_0 = all_24_0 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_219_0, all_326_0, % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_0, simplifying with (239), (262) % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (404) all_326_0 = all_219_0 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_326_0, all_331_0, % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_0, simplifying with (262), (268) % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (405) all_331_0 = all_326_0 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_331_0, all_361_1, % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_0, simplifying with (268), (300) % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (406) all_361_1 = all_331_0 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_401_0, all_406_0, % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_0, simplifying with (331), (337) % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407) all_406_0 = all_401_0 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_361_1, all_406_0, % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_0, simplifying with (300), (337) % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408) all_406_0 = all_361_1 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_219_1, all_406_0, % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_0, simplifying with (238), (337) % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (409) all_406_0 = all_219_1 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (387), (388) imply: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (410) all_426_1 = all_109_1 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (410) implies: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (411) all_426_1 = all_109_1 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (399), (400) imply: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (412) all_366_1 = all_213_1 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (412) implies: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (413) all_366_1 = all_213_1 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (380) imply: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414) all_421_1 = all_234_0 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (414) implies: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (415) all_421_1 = all_234_0 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (386), (411) imply: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (416) all_356_1 = all_109_1 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (416) implies: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (417) all_356_1 = all_109_1 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (385) imply: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (418) all_336_0 = all_109_0 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (383), (384) imply: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (419) all_341_1 = all_336_0 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (419) implies: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (420) all_341_1 = all_336_0 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (415) imply: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (421) all_416_1 = all_234_0 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (421) implies: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (422) all_416_1 = all_234_0 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (398) imply: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (423) all_391_1 = all_17_1 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (423) implies: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (424) all_391_1 = all_17_1 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (422) imply: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (425) all_411_0 = all_234_0 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (425) implies: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (426) all_411_0 = all_234_0 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (376), (426) imply: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (427) all_234_0 = all_234_1 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (426) imply: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (428) all_234_0 = all_34_0 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (371) imply: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (429) all_346_2 = all_190_2 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (429) implies: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (430) all_346_2 = all_190_2 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (408) imply: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (431) all_401_0 = all_361_1 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (409) imply: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (432) all_401_0 = all_219_1 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (373) imply: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (433) all_396_2 = all_213_2 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (433) implies: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (434) all_396_2 = all_213_2 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (432) imply: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (435) all_361_1 = all_219_1 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (435) implies: % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (436) all_361_1 = all_219_1 % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.41/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (395) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (437) all_391_1 = all_351_0 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (437) implies: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (438) all_391_1 = all_351_0 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (396) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (439) all_351_0 = all_331_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (393), (424) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440) all_381_0 = all_17_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (393), (438) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441) all_381_0 = all_351_0 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (392) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (442) all_331_1 = all_190_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (442) implies: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (443) all_331_1 = all_190_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (441) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (444) all_351_0 = all_17_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (444) implies: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (445) all_351_0 = all_17_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (413) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (446) all_346_0 = all_213_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (446) implies: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (447) all_346_0 = all_213_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (436) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (448) all_331_0 = all_219_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (448) implies: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (449) all_331_0 = all_219_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (417) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450) all_341_1 = all_109_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (450) implies: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451) all_341_1 = all_109_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (445) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (452) all_331_1 = all_17_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (452) implies: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (453) all_331_1 = all_17_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (447) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (454) all_331_1 = all_213_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (454) implies: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455) all_331_1 = all_213_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (430) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (456) all_190_2 = 0 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (451) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (457) all_336_0 = all_109_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (457) implies: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (458) all_336_0 = all_109_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (458) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (459) all_109_0 = all_109_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (459) implies: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (460) all_109_0 = all_109_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (449) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (461) all_326_0 = all_219_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (461) implies: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (462) all_326_0 = all_219_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (443), (455) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463) all_213_1 = all_190_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (455) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (464) all_213_1 = all_17_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (404), (462) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (465) all_219_0 = all_219_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (465) implies: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (466) all_219_0 = all_219_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (427), (428) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (467) all_234_1 = all_34_0 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (467) implies: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (468) all_234_1 = all_34_0 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (468) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (469) all_190_0 = all_34_0 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (469) implies: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (470) all_190_0 = all_34_0 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (401), (402) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (471) all_224_1 = all_30_0 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (471) implies: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472) all_224_1 = all_30_0 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (466) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (473) all_219_1 = all_24_0 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (464) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (474) all_190_1 = all_17_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (474) implies: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (475) all_190_1 = all_17_1 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (381), (460) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (476) all_109_1 = all_26_0 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (121) gives: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (477) all_30_0 = 0 % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (477) imply: % 20.50/3.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (478) $false % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (478) is inconsistent. % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (479) all_17_1 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_17_0, all_17_3) = v2 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_4) = v3 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_3) = v1 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_17_2) = v0 & ( ~ % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (479) gives: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (480) all_17_1 = 0 % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (480) imply: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (481) $false % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (481) is inconsistent. % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (482) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_0, % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = v2 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_4) = v3 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_3) = v1 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_17_2) = v0 & ( ~ % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (482) with fresh symbols all_455_0, % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_455_1, all_455_2, all_455_3 gives: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (483) apart_point_and_line(all_17_0, all_17_3) = % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_455_1 & apart_point_and_line(all_17_2, % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_455_0 & distinct_lines(all_17_4, % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_455_2 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_17_2) = all_455_3 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_455_2 = 0) | ~ (all_455_3 = 0) | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_455_0 = 0 | all_455_1 = 0) % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (483) implies: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (484) distinct_points(all_17_0, all_17_2) = all_455_3 % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (485) distinct_lines(all_17_4, all_17_3) = all_455_2 % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (486) apart_point_and_line(all_17_2, all_17_4) = % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_455_0 % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (487) apart_point_and_line(all_17_0, all_17_3) = % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_455_1 % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (488) ~ (all_455_2 = 0) | ~ (all_455_3 = 0) | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_455_0 = 0 | all_455_1 = 0 % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (489) ~ (all_190_2 = 0) % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (456), (489) imply: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (490) $false % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (490) is inconsistent. % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (491) ~ (all_190_3 = 0) | all_190_0 = 0 | all_190_1 = 0 % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (132) gives: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (492) all_26_0 = 0 % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (492) imply: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (493) $false % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (493) is inconsistent. % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (494) all_24_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_17_0, all_17_4) = v2 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v3 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_3) = v1 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_17_2) = v0 & ( ~ % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (124) gives: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (495) all_30_0 = 0 % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (495) imply: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (496) $false % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (496) is inconsistent. % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (497) all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_17_0, all_17_4) = v2 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_4) = v3 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_4) = v1 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_17_2) = v0 & ( ~ % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (498) all_24_0 = 0 % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (498) imply: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (499) $false % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (499) is inconsistent. % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (500) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_0, % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v2 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v3 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_4) = v1 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_17_2) = v0 & ( ~ % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (500) with fresh symbols all_485_0, % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_485_1, all_485_2, all_485_3 gives: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (501) apart_point_and_line(all_17_0, all_17_4) = % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_485_1 & apart_point_and_line(all_17_2, % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_485_0 & distinct_lines(all_17_3, % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_485_2 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_17_2) = all_485_3 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_485_2 = 0) | ~ (all_485_3 = 0) | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_485_0 = 0 | all_485_1 = 0) % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (501) implies: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (502) distinct_points(all_17_0, all_17_2) = all_485_3 % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (503) apart_point_and_line(all_17_0, all_17_4) = % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_485_1 % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (504) all_17_1 = 0 % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (504) imply: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (505) $false % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (505) is inconsistent. % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_0, % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = v2 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_4) = v3 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_4) = v1 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_17_2) = v0 & ( ~ % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (506) with fresh symbols all_517_0, % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_517_1, all_517_2, all_517_3 gives: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (507) apart_point_and_line(all_17_0, all_17_3) = % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_517_1 & apart_point_and_line(all_17_2, % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_517_0 & distinct_lines(all_17_3, % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_517_2 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_17_2) = all_517_3 & % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_517_2 = 0) | ~ (all_517_3 = 0) | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_517_0 = 0 | all_517_1 = 0) % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (507) implies: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (508) distinct_points(all_17_0, all_17_2) = all_517_3 % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (509) apart_point_and_line(all_17_2, all_17_4) = % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_517_0 % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (510) apart_point_and_line(all_17_0, all_17_3) = % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_517_1 % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (491) gives: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with 0, all_517_3, all_17_2, % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_0, simplifying with (147), (508) gives: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (511) all_517_3 = 0 % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_485_3, all_517_3, % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_2, all_17_0, simplifying with (502), (508) % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512) all_517_3 = all_485_3 % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_455_3, all_517_3, % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_2, all_17_0, simplifying with (484), (508) % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (513) all_517_3 = all_455_3 % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_213_2, all_455_2, % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_4, simplifying with (232), (485) % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514) all_455_2 = all_213_2 % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_26_0, all_517_0, % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_2, simplifying with (43), (509) % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515) all_517_0 = all_26_0 % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_455_0, all_517_0, % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_2, simplifying with (486), (509) % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.50/3.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516) all_517_0 = all_455_0 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_30_0, all_485_1, % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_0, simplifying with (100), (503) % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (517) all_485_1 = all_30_0 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_24_0, all_517_1, % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_0, simplifying with (41), (510) % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518) all_517_1 = all_24_0 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_455_1, all_517_1, % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_0, simplifying with (487), (510) % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (519) all_517_1 = all_455_1 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (516) imply: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (520) all_455_0 = all_26_0 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (519) imply: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521) all_455_1 = all_24_0 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (521) implies: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (522) all_455_1 = all_24_0 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (512) imply: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (523) all_485_3 = 0 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (513) imply: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (524) all_485_3 = all_455_3 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (524) imply: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (525) all_455_3 = 0 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (494) gives: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (526) all_24_0 = 0 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (526) imply: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (527) $false % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (527) is inconsistent. % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_0, % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v2 & % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v3 & % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_3) = v1 & % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_17_2) = v0 & ( ~ % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (528) with fresh symbols all_543_0, % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_543_1, all_543_2, all_543_3 gives: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529) apart_point_and_line(all_17_0, all_17_4) = % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_543_1 & apart_point_and_line(all_17_2, % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_543_0 & distinct_lines(all_17_4, % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_543_2 & % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_17_2) = all_543_3 & % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_543_2 = 0) | ~ (all_543_3 = 0) | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_543_0 = 0 | all_543_1 = 0) % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (529) implies: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (530) distinct_lines(all_17_4, all_17_3) = all_543_2 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (531) apart_point_and_line(all_17_0, all_17_4) = % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_543_1 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (497) gives: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532) all_26_0 = 0 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (532) imply: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (533) $false % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (533) is inconsistent. % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (534) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_0, % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v2 & % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_4) = v3 & % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_4) = v1 & % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_17_2) = v0 & ( ~ % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (534) with fresh symbols all_549_0, % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_549_1, all_549_2, all_549_3 gives: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (535) apart_point_and_line(all_17_0, all_17_4) = % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_549_1 & apart_point_and_line(all_17_2, % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_549_0 & distinct_lines(all_17_4, % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_549_2 & % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_0, all_17_2) = all_549_3 & % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_549_2 = 0) | ~ (all_549_3 = 0) | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_549_0 = 0 | all_549_1 = 0) % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (535) implies: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (536) distinct_points(all_17_0, all_17_2) = all_549_3 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (537) apart_point_and_line(all_17_2, all_17_4) = % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_549_0 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (538) apart_point_and_line(all_17_0, all_17_4) = % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_549_1 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (539) ~ (all_549_2 = 0) | ~ (all_549_3 = 0) | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_549_0 = 0 | all_549_1 = 0 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (488) gives: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (540) ~ (all_455_2 = 0) % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (514), (540) imply: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (541) ~ (all_213_2 = 0) % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with 0, all_549_3, all_17_2, % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_0, simplifying with (147), (536) gives: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (542) all_549_3 = 0 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (11) with all_213_2, all_543_2, % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_17_4, simplifying with (232), (530) % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (543) all_543_2 = all_213_2 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_26_0, all_549_0, % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_2, simplifying with (43), (537) % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (544) all_549_0 = all_26_0 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_30_0, all_549_1, % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_0, simplifying with (100), (538) % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (545) all_549_1 = all_30_0 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with all_543_1, all_549_1, % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_0, simplifying with (531), (538) % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (546) all_549_1 = all_543_1 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (545), (546) imply: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547) all_543_1 = all_30_0 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (539) gives: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_17_3, all_17_4, % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3, all_213_2, simplifying with (18), (19), % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (23), (232) gives: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (548) all_213_2 = 0 | convergent_lines(all_17_3, % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = 0 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (548) gives: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (549) convergent_lines(all_17_3, all_17_3) = 0 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (apart3) with all_17_3, simplifying % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (19), (549) gives: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550) $false % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (550) is inconsistent. % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551) all_213_2 = 0 % 20.50/3.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (541), (551) imply: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (552) $false % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (552) is inconsistent. % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553) ~ (all_549_3 = 0) | all_549_0 = 0 | all_549_1 = 0 % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (553) gives: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (554) ~ (all_549_3 = 0) % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (542), (554) imply: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (555) $false % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (555) is inconsistent. % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (556) all_549_0 = 0 | all_549_1 = 0 % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (556) gives: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (557) all_549_0 = 0 % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (557) imply: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (558) all_26_0 = 0 % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (558) imply: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (559) $false % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (559) is inconsistent. % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (560) all_549_1 = 0 % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (545), (560) imply: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (561) all_30_0 = 0 % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (561) imply: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562) $false % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (562) is inconsistent. % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (563) ~ (all_455_3 = 0) | all_455_0 = 0 | all_455_1 = 0 % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (563) gives: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (564) ~ (all_455_3 = 0) % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (525), (564) imply: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (565) $false % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (565) is inconsistent. % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (566) all_455_0 = 0 | all_455_1 = 0 % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (566) gives: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (567) all_455_0 = 0 % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (520), (567) imply: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (568) all_26_0 = 0 % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (568) implies: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (569) all_26_0 = 0 % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (569) imply: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (570) $false % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (570) is inconsistent. % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (571) all_455_1 = 0 % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (522), (571) imply: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (572) all_24_0 = 0 % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (572) implies: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (573) all_24_0 = 0 % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (573) imply: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (574) $false % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (574) is inconsistent. % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (575) all_190_0 = 0 | all_190_1 = 0 % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (575) gives: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (576) all_190_0 = 0 % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (576) imply: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (577) all_34_0 = 0 % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (577) implies: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (578) all_34_0 = 0 % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (578) imply: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (579) $false % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (579) is inconsistent. % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (580) all_190_1 = 0 % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (580) imply: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (581) all_17_1 = 0 % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (581) imply: % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (582) $false % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (582) is inconsistent. % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 20.50/3.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | | | | 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| | | | | | | | | % 20.50/3.77 | | | | | | | | | | | | End of split % 20.50/3.77 | | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | | End of split % 20.50/3.77 | | | | | | | | | | | % 20.50/3.77 | | | | | | | | | | End of split % 20.50/3.77 | | | | | | | | | | % 20.50/3.77 | | | | | | | | | End of split % 20.50/3.77 | | | | | | | | | % 20.50/3.77 | | | | | | | | End of split % 20.50/3.77 | | | | | | | | % 20.50/3.77 | | | | | | | End of split % 20.50/3.77 | | | | | | | % 20.50/3.77 | | | | | | End of split % 20.50/3.77 | | | | | | % 20.50/3.77 | | | | | End of split % 20.50/3.77 | | | | | % 20.50/3.77 | | | | Case 2: % 20.50/3.77 | | | | | % 20.50/3.77 | | | | | (583) all_34_0 = 0 % 20.50/3.77 | | | | | % 20.50/3.77 | | | | | REDUCE: (110), (583) imply: % 20.50/3.77 | | | | | (584) $false % 20.50/3.77 | | | | | % 20.50/3.77 | | | | | CLOSE: (584) is inconsistent. % 20.50/3.77 | | | | | % 20.50/3.77 | | | | End of split % 20.50/3.77 | | | | % 20.50/3.77 | | | Case 2: % 20.50/3.77 | | | | % 20.50/3.77 | | | | (585) all_24_0 = 0 % 20.50/3.77 | | | | % 20.50/3.77 | | | | REDUCE: (112), (585) imply: % 20.50/3.77 | | | | (586) $false % 20.50/3.77 | | | | % 20.50/3.77 | | | | CLOSE: (586) is inconsistent. % 20.50/3.77 | | | | % 20.50/3.77 | | | End of split % 20.50/3.77 | | | % 20.50/3.77 | | Case 2: % 20.50/3.77 | | | % 20.50/3.77 | | | (587) ~ (all_32_1 = 0) % 20.50/3.77 | | | % 20.50/3.77 | | | REDUCE: (82), (587) imply: % 20.50/3.77 | | | (588) $false % 20.50/3.77 | | | % 20.50/3.77 | | | CLOSE: (588) is inconsistent. % 20.50/3.77 | | | % 20.50/3.77 | | End of split % 20.50/3.77 | | % 20.50/3.77 | End of split % 20.50/3.77 | % 20.50/3.78 End of proof % 20.50/3.78 % SZS output end Proof for theBenchmark % 20.50/3.78 % 20.50/3.78 3185ms %------------------------------------------------------------------------------