%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GEO223+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 : n023.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 23:22:31 EDT 2023 % Result : Theorem 41.51s 6.18s % Output : Proof 82.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : GEO223+1 : TPTP v8.1.2. Released v3.3.0. % 0.04/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n023.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Tue Aug 29 23:07:40 EDT 2023 % 0.13/0.34 % CPUTime : % 0.65/0.67 ________ _____ % 0.65/0.67 ___ __ \_________(_)________________________________ % 0.65/0.67 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.65/0.67 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.65/0.67 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.65/0.67 % 0.65/0.67 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.65/0.67 (2023-06-19) % 0.65/0.67 % 0.65/0.67 (c) Philipp Rümmer, 2009-2023 % 0.65/0.67 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.65/0.67 Amanda Stjerna. % 0.65/0.67 Free software under BSD-3-Clause. % 0.65/0.67 % 0.65/0.67 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.65/0.67 % 0.65/0.67 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.74/0.68 Running up to 7 provers in parallel. % 0.74/0.69 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.74/0.69 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.74/0.69 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.74/0.69 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.74/0.69 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.74/0.69 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.74/0.69 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.73/1.15 Prover 1: Preprocessing ... % 2.73/1.15 Prover 4: Preprocessing ... % 2.96/1.19 Prover 0: Preprocessing ... % 2.96/1.19 Prover 2: Preprocessing ... % 2.96/1.19 Prover 5: Preprocessing ... % 2.96/1.19 Prover 3: Preprocessing ... % 2.96/1.19 Prover 6: Preprocessing ... % 5.16/1.46 Prover 5: Proving ... % 5.16/1.49 Prover 2: Proving ... % 5.16/1.51 Prover 3: Constructing countermodel ... % 5.16/1.52 Prover 6: Constructing countermodel ... % 5.66/1.54 Prover 1: Constructing countermodel ... % 5.93/1.60 Prover 3: gave up % 5.93/1.60 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.93/1.61 Prover 1: gave up % 5.93/1.61 Prover 6: gave up % 5.93/1.61 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 5.93/1.62 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.47/1.65 Prover 7: Preprocessing ... % 6.47/1.66 Prover 8: Preprocessing ... % 6.47/1.66 Prover 9: Preprocessing ... % 6.72/1.72 Prover 7: Warning: ignoring some quantifiers % 7.36/1.76 Prover 4: Constructing countermodel ... % 7.36/1.77 Prover 7: Constructing countermodel ... % 7.36/1.77 Prover 0: Proving ... % 7.36/1.81 Prover 8: Warning: ignoring some quantifiers % 7.78/1.82 Prover 8: Constructing countermodel ... % 8.07/1.90 Prover 8: gave up % 8.07/1.91 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.63/1.94 Prover 9: Constructing countermodel ... % 8.63/1.96 Prover 10: Preprocessing ... % 8.97/1.98 Prover 7: gave up % 8.97/1.98 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.97/2.00 Prover 11: Preprocessing ... % 8.97/2.01 Prover 10: Warning: ignoring some quantifiers % 8.97/2.01 Prover 10: Constructing countermodel ... % 9.64/2.07 Prover 10: gave up % 9.64/2.07 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 9.64/2.10 Prover 12: Preprocessing ... % 10.41/2.23 Prover 12: Proving ... % 11.03/2.28 Prover 11: Constructing countermodel ... % 34.36/5.24 Prover 12: stopped % 34.36/5.25 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 34.36/5.28 Prover 13: Preprocessing ... % 35.19/5.38 Prover 13: Warning: ignoring some quantifiers % 35.19/5.39 Prover 13: Constructing countermodel ... % 35.97/5.47 Prover 13: gave up % 35.97/5.49 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 35.97/5.51 Prover 14: Preprocessing ... % 37.47/5.66 Prover 14: Proving ... % 41.51/6.18 Prover 0: proved (5496ms) % 41.51/6.18 % 41.51/6.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 41.51/6.18 % 41.51/6.19 Prover 14: stopped % 41.51/6.20 Prover 5: stopped % 41.51/6.20 Prover 2: stopped % 41.51/6.20 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 41.51/6.20 Prover 9: proved (4573ms) % 41.51/6.20 % 41.51/6.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 41.51/6.20 % 41.51/6.20 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 41.80/6.21 Prover 16: Preprocessing ... % 41.80/6.21 Prover 19: Preprocessing ... % 41.80/6.23 Prover 16: Warning: ignoring some quantifiers % 41.80/6.23 Prover 16: Constructing countermodel ... % 42.10/6.25 Prover 19: Warning: ignoring some quantifiers % 42.10/6.26 Prover 19: Constructing countermodel ... % 42.10/6.28 Prover 19: gave up % 42.10/6.32 Prover 16: gave up % 81.04/15.69 Prover 4: Found proof (size 684) % 81.04/15.69 Prover 4: proved (14998ms) % 81.04/15.70 Prover 11: stopped % 81.04/15.70 % 81.04/15.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 81.04/15.70 % 81.41/15.77 % SZS output start Proof for theBenchmark % 81.41/15.77 Assumptions after simplification: % 81.41/15.77 --------------------------------- % 81.41/15.77 % 81.41/15.77 (apart3) % 81.41/15.80 ! [v0: $i] : ( ~ (convergent_lines(v0, v0) = 0) | ~ $i(v0)) % 81.41/15.80 % 81.41/15.80 (apart5) % 81.41/15.80 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = % 81.41/15.80 0 | v3 = 0 | ~ (distinct_lines(v1, v2) = v4) | ~ (distinct_lines(v0, v2) = % 81.41/15.80 v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) & % 81.41/15.80 distinct_lines(v0, v1) = v5)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 81.41/15.80 ! [v3: int] : (v3 = 0 | ~ (distinct_lines(v1, v2) = v3) | ~ % 81.41/15.80 (distinct_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 81.41/15.80 distinct_lines(v0, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 81.41/15.80 [v3: int] : (v3 = 0 | ~ (distinct_lines(v0, v2) = v3) | ~ % 81.41/15.80 (distinct_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 81.41/15.80 distinct_lines(v1, v2) = 0) % 81.41/15.80 % 81.41/15.80 (ax6) % 81.41/15.80 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = % 81.41/15.80 0 | v3 = 0 | ~ (convergent_lines(v1, v2) = v4) | ~ (convergent_lines(v0, % 81.41/15.80 v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = % 81.41/15.80 0) & convergent_lines(v0, v1) = v5)) & ! [v0: $i] : ! [v1: $i] : ! % 81.41/15.80 [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (convergent_lines(v1, v2) = v3) | ~ % 81.41/15.80 (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 81.41/15.81 convergent_lines(v0, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 81.41/15.81 [v3: int] : (v3 = 0 | ~ (convergent_lines(v0, v2) = v3) | ~ % 81.41/15.81 (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 81.41/15.81 convergent_lines(v1, v2) = 0) % 81.41/15.81 % 81.41/15.81 (ceq3) % 81.41/15.81 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = % 81.41/15.81 0 | v3 = 0 | ~ (convergent_lines(v0, v2) = v4) | ~ (distinct_lines(v1, v2) % 81.41/15.81 = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) & % 81.41/15.81 convergent_lines(v0, v1) = v5)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 81.41/15.81 : ! [v3: int] : (v3 = 0 | ~ (convergent_lines(v0, v2) = v3) | ~ % 81.41/15.81 (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 81.41/15.81 distinct_lines(v1, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 81.41/15.81 [v3: int] : (v3 = 0 | ~ (convergent_lines(v0, v1) = 0) | ~ % 81.41/15.81 (distinct_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 81.41/15.81 convergent_lines(v0, v2) = 0) % 81.41/15.81 % 81.41/15.81 (con) % 81.41/15.81 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 81.41/15.81 (orthogonal_through_point(v3, v0) = v4 & orthogonal_through_point(v1, v0) = v3 % 81.41/15.81 & parallel_through_point(v1, v0) = v2 & distinct_lines(v2, v4) = 0 & $i(v4) % 81.41/15.81 & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 81.41/15.81 % 81.41/15.81 (cp1) % 81.41/15.81 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (parallel_through_point(v1, v0) % 81.41/15.81 = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & % 81.41/15.81 convergent_lines(v2, v1) = v3)) % 81.41/15.81 % 81.41/15.81 (cp2) % 81.41/15.81 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (parallel_through_point(v1, v0) % 81.41/15.81 = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & % 81.41/15.81 apart_point_and_line(v0, v2) = v3)) % 81.41/15.81 % 81.41/15.81 (cu1) % 81.41/15.83 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: % 81.41/15.83 int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) | ~ % 81.41/15.83 (apart_point_and_line(v1, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~ % 81.41/15.83 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : % 81.41/15.83 ? [v8: any] : (apart_point_and_line(v0, v3) = v8 & apart_point_and_line(v0, % 81.41/15.83 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = % 81.41/15.83 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 81.41/15.83 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = % 81.41/15.83 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ (distinct_lines(v2, v3) % 81.41/15.83 = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? % 81.41/15.83 [v7: any] : ? [v8: any] : (apart_point_and_line(v1, v2) = v8 & % 81.41/15.83 apart_point_and_line(v0, v2) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v6 % 81.41/15.83 = 0) | v8 = 0 | v7 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 81.41/15.83 ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ % 81.41/15.83 (apart_point_and_line(v1, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4) % 81.41/15.83 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: % 81.41/15.83 any] : ? [v8: any] : ? [v9: any] : (apart_point_and_line(v1, v2) = v9 & % 81.41/15.83 apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 & % 81.76/15.83 distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = % 81.76/15.83 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 81.76/15.83 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = % 81.76/15.83 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 81.76/15.83 $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: % 81.76/15.83 any] : (apart_point_and_line(v1, v3) = v9 & apart_point_and_line(v0, v2) = % 81.76/15.83 v8 & distinct_lines(v2, v3) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v7 % 81.76/15.83 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = 0))) & ! [v0: $i] : ! [v1: $i] : % 81.76/15.83 ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ % 81.76/15.83 (apart_point_and_line(v1, v2) = v5) | ~ (apart_point_and_line(v0, v2) = v4) % 81.76/15.83 | ~ (distinct_lines(v2, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 81.76/15.83 $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : % 81.76/15.83 (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v0, v3) = v7 & % 81.76/15.83 distinct_points(v0, v1) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) & ! [v0: % 81.76/15.83 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] % 81.76/15.83 : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v0, v3) = v5) | ~ % 81.76/15.83 (apart_point_and_line(v0, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~ % 81.76/15.83 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : % 81.76/15.83 ? [v8: any] : (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v1, % 81.76/15.83 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = % 81.76/15.83 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 81.76/15.83 (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ~ $i(v3) % 81.76/15.83 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: % 81.76/15.83 any] : ? [v7: any] : (apart_point_and_line(v1, v3) = v7 & % 81.76/15.83 apart_point_and_line(v1, v2) = v6 & apart_point_and_line(v0, v3) = v5 & % 81.76/15.83 apart_point_and_line(v0, v2) = v4 & (v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0))) % 81.76/15.83 % 81.76/15.83 (cup1) % 81.76/15.84 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = % 81.76/15.84 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~ % 81.76/15.84 (apart_point_and_line(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 81.76/15.84 [v5: any] : ? [v6: any] : (convergent_lines(v1, v2) = v6 & % 81.76/15.84 distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0: $i] : ! % 81.76/15.84 [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = 0 | v3 = 0 | ~ % 81.76/15.84 (apart_point_and_line(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = v4) | % 81.76/15.84 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : % 81.76/15.84 (apart_point_and_line(v0, v1) = v6 & distinct_lines(v1, v2) = v5 & ( ~ (v5 = % 81.76/15.84 0) | v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 81.76/15.84 int] : ! [v4: int] : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v1) = % 81.76/15.84 v3) | ~ (convergent_lines(v1, v2) = v4) | ~ $i(v2) | ~ $i(v1) | ~ % 81.76/15.84 $i(v0) | ? [v5: any] : ? [v6: any] : (apart_point_and_line(v0, v2) = v6 & % 81.76/15.84 distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0: $i] : ! % 81.76/15.84 [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0, % 81.76/15.84 v2) = v3) | ~ (distinct_lines(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ % 81.76/15.84 $i(v0) | ? [v4: any] : ? [v5: any] : (apart_point_and_line(v0, v1) = v4 & % 81.76/15.84 convergent_lines(v1, v2) = v5 & (v5 = 0 | v4 = 0))) & ! [v0: $i] : ! % 81.76/15.84 [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0, % 81.76/15.84 v1) = v3) | ~ (distinct_lines(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ % 81.76/15.84 $i(v0) | ? [v4: any] : ? [v5: any] : (apart_point_and_line(v0, v2) = v4 & % 81.76/15.84 convergent_lines(v1, v2) = v5 & (v5 = 0 | v4 = 0))) % 81.76/15.84 % 81.76/15.84 (oac1) % 81.76/15.85 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~ % 81.76/15.85 (unorthogonal_lines(v1, v2) = v4) | ~ (unorthogonal_lines(v0, v2) = v3) | % 81.76/15.85 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: % 81.76/15.85 any] : ? [v8: any] : (unorthogonal_lines(v0, v1) = v6 & % 81.76/15.85 convergent_lines(v1, v2) = v8 & convergent_lines(v0, v2) = v7 & % 81.76/15.85 convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (v8 = 0 & v4 % 81.76/15.85 = 0) | (v7 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 81.76/15.85 : ! [v3: any] : ! [v4: any] : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~ % 81.76/15.85 (convergent_lines(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 81.76/15.85 [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : % 81.76/15.85 (unorthogonal_lines(v0, v2) = v7 & unorthogonal_lines(v0, v1) = v6 & % 81.76/15.85 convergent_lines(v1, v2) = v8 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = % 81.76/15.85 0) | ~ (v5 = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0)))) & ! [v0: % 81.76/15.85 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~ % 81.76/15.85 (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = v4) | ~ % 81.76/15.85 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] % 81.76/15.85 : ? [v8: any] : (unorthogonal_lines(v1, v2) = v8 & unorthogonal_lines(v0, % 81.76/15.85 v1) = v6 & convergent_lines(v0, v2) = v7 & convergent_lines(v0, v1) = v5 % 81.76/15.85 & ( ~ (v6 = 0) | ~ (v5 = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0)))) & % 81.76/15.85 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~ % 81.76/15.85 (convergent_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) = v3) | ~ % 81.76/15.85 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] % 81.76/15.85 : ? [v8: any] : (unorthogonal_lines(v1, v2) = v8 & unorthogonal_lines(v0, % 81.76/15.85 v2) = v7 & unorthogonal_lines(v0, v1) = v6 & convergent_lines(v0, v1) = % 81.76/15.85 v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0)))) % 81.76/15.85 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ % 81.76/15.85 (unorthogonal_lines(v1, v2) = v3) | ~ (unorthogonal_lines(v0, v1) = 0) | ~ % 81.76/15.85 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any] % 81.76/15.85 : ? [v7: any] : (unorthogonal_lines(v0, v2) = v6 & convergent_lines(v1, v2) % 81.76/15.85 = v7 & convergent_lines(v0, v2) = v5 & convergent_lines(v0, v1) = v4 & ( ~ % 81.76/15.85 (v4 = 0) | (v7 = 0 & v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0: $i] : ! % 81.76/15.85 [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v1, v2) = v3) % 81.76/15.85 | ~ (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 81.76/15.85 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 81.76/15.85 (unorthogonal_lines(v0, v2) = v6 & unorthogonal_lines(v0, v1) = v4 & % 81.76/15.85 convergent_lines(v1, v2) = v7 & convergent_lines(v0, v2) = v5 & ( ~ (v4 = % 81.76/15.85 0) | (v7 = 0 & v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0: $i] : ! [v1: % 81.76/15.85 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v2) = v3) | % 81.76/15.85 ~ (unorthogonal_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 81.76/15.85 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 81.76/15.85 (unorthogonal_lines(v1, v2) = v7 & convergent_lines(v1, v2) = v6 & % 81.76/15.85 convergent_lines(v0, v2) = v5 & convergent_lines(v0, v1) = v4 & ( ~ (v4 = % 81.76/15.86 0) | (v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1: % 81.76/15.86 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v2) = v3) | % 81.76/15.86 ~ (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 81.76/15.86 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 81.76/15.86 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v1) = v4 & % 81.76/15.86 convergent_lines(v1, v2) = v6 & convergent_lines(v0, v2) = v5 & ( ~ (v4 = % 81.76/15.86 0) | (v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1: % 81.76/15.86 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ~ % 81.76/15.86 (convergent_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 81.76/15.86 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 81.76/15.86 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v6 & % 81.76/15.86 convergent_lines(v0, v2) = v5 & convergent_lines(v0, v1) = v4 & ( ~ (v4 = % 81.76/15.86 0) | (v7 = 0 & v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0: $i] : ! [v1: % 81.76/15.86 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ~ % 81.76/15.86 (convergent_lines(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 81.76/15.86 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 81.76/15.86 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v5 & % 81.76/15.86 convergent_lines(v1, v2) = v6 & convergent_lines(v0, v1) = v4 & ( ~ (v4 = % 81.76/15.86 0) | (v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1: % 81.76/15.86 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (convergent_lines(v1, v2) = v3) | ~ % 81.76/15.86 (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: % 81.76/15.86 any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 81.76/15.86 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v6 & % 81.76/15.86 unorthogonal_lines(v0, v1) = v4 & convergent_lines(v0, v2) = v5 & ( ~ (v4 % 81.76/15.86 = 0) | (v7 = 0 & v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0: $i] : ! % 81.76/15.86 [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (convergent_lines(v0, v2) = v3) | % 81.76/15.86 ~ (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 81.76/15.86 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 81.76/15.86 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v5 & % 81.76/15.86 unorthogonal_lines(v0, v1) = v4 & convergent_lines(v1, v2) = v6 & ( ~ (v4 % 81.76/15.86 = 0) | (v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0)))) % 81.76/15.86 % 81.76/15.86 (occu1) % 81.76/15.86 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 81.76/15.86 (unorthogonal_lines(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | % 81.76/15.86 convergent_lines(v0, v1) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : % 81.76/15.86 (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | % 81.76/15.86 unorthogonal_lines(v0, v1) = 0) % 81.76/15.86 % 81.76/15.86 (ooc1) % 81.76/15.86 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (orthogonal_through_point(v1, % 81.76/15.86 v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & % 81.76/15.86 unorthogonal_lines(v2, v1) = v3)) % 81.76/15.86 % 81.76/15.86 (ooc2) % 81.76/15.86 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (orthogonal_through_point(v1, % 81.76/15.86 v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & % 81.76/15.86 apart_point_and_line(v0, v2) = v3)) % 81.76/15.86 % 81.76/15.86 (ouo1) % 81.76/15.86 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: % 81.76/15.86 int] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v2, v3) = v5) | ~ % 81.76/15.86 (apart_point_and_line(v0, v2) = v4) | ~ (distinct_lines(v1, v2) = 0) | ~ % 81.76/15.86 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : % 81.76/15.86 (unorthogonal_lines(v1, v3) = v7 & apart_point_and_line(v0, v1) = v6 & (v7 = % 81.76/15.86 0 | v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 81.76/15.86 ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v2, v3) % 81.76/15.86 = v5) | ~ (apart_point_and_line(v0, v1) = v4) | ~ $i(v3) | ~ $i(v2) | % 81.76/15.86 ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : % 81.76/15.86 (unorthogonal_lines(v1, v3) = v8 & apart_point_and_line(v0, v2) = v7 & % 81.76/15.86 distinct_lines(v1, v2) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) & ! [v0: % 81.76/15.86 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] % 81.76/15.86 : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v1, v3) = v5) | ~ % 81.76/15.86 (apart_point_and_line(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 81.76/15.86 $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : % 81.76/15.86 (unorthogonal_lines(v2, v3) = v8 & apart_point_and_line(v0, v1) = v7 & % 81.76/15.86 distinct_lines(v1, v2) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) & ! [v0: % 81.76/15.86 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] % 81.76/15.86 : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v1, v3) = v5) | ~ % 81.76/15.86 (apart_point_and_line(v0, v1) = v4) | ~ (distinct_lines(v1, v2) = 0) | ~ % 81.76/15.86 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : % 81.76/15.86 (unorthogonal_lines(v2, v3) = v7 & apart_point_and_line(v0, v2) = v6 & (v7 = % 81.76/15.86 0 | v6 = 0))) % 81.76/15.86 % 81.76/15.86 (function-axioms) % 81.76/15.87 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 81.76/15.87 (orthogonal_through_point(v3, v2) = v1) | ~ (orthogonal_through_point(v3, % 81.76/15.87 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 81.76/15.87 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (unorthogonal_lines(v3, v2) = v1) | % 81.76/15.87 ~ (unorthogonal_lines(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 81.76/15.87 $i] : ! [v3: $i] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~ % 81.76/15.87 (parallel_through_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 81.76/15.87 $i] : ! [v3: $i] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~ % 81.76/15.87 (intersection_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 81.76/15.87 : ! [v3: $i] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~ % 81.76/15.87 (line_connecting(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 81.76/15.87 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 81.76/15.87 (apart_point_and_line(v3, v2) = v1) | ~ (apart_point_and_line(v3, v2) = % 81.76/15.87 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 81.76/15.87 $i] : ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ % 81.76/15.87 (convergent_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 81.76/15.87 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 81.76/15.87 (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0)) & ! [v0: % 81.76/15.87 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 81.76/15.87 : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) = % 81.76/15.87 v0)) % 81.76/15.87 % 81.76/15.87 Further assumptions not needed in the proof: % 81.76/15.87 -------------------------------------------- % 81.76/15.87 apart1, apart2, apart4, ceq1, ceq2, ci1, ci2, ci3, ci4 % 81.76/15.87 % 81.76/15.87 Those formulas are unsatisfiable: % 81.76/15.87 --------------------------------- % 81.76/15.87 % 81.76/15.87 Begin of proof % 81.76/15.87 | % 81.76/15.87 | ALPHA: (apart5) implies: % 81.76/15.87 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : % 81.76/15.87 | (v4 = 0 | v3 = 0 | ~ (distinct_lines(v1, v2) = v4) | ~ % 81.76/15.87 | (distinct_lines(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 81.76/15.87 | ? [v5: int] : ( ~ (v5 = 0) & distinct_lines(v0, v1) = v5)) % 81.76/15.87 | % 81.76/15.87 | ALPHA: (ax6) implies: % 81.76/15.87 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 81.76/15.87 | (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | % 81.76/15.87 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | convergent_lines(v1, v2) = 0) % 81.76/15.87 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 81.76/15.87 | (convergent_lines(v1, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | % 81.76/15.87 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | convergent_lines(v0, v2) = 0) % 81.76/15.87 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : % 81.76/15.87 | (v4 = 0 | v3 = 0 | ~ (convergent_lines(v1, v2) = v4) | ~ % 81.76/15.87 | (convergent_lines(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 81.76/15.87 | ? [v5: int] : ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5)) % 81.76/15.87 | % 81.76/15.87 | ALPHA: (cu1) implies: % 81.76/15.88 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 81.76/15.88 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = v5) % 81.76/15.88 | | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 81.76/15.88 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? % 81.76/15.88 | [v9: any] : (apart_point_and_line(v1, v3) = v9 & % 81.76/15.88 | apart_point_and_line(v0, v2) = v8 & distinct_lines(v2, v3) = v7 & % 81.76/15.88 | distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 % 81.76/15.88 | | v8 = 0))) % 81.76/15.88 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 81.76/15.88 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) % 81.76/15.88 | | ~ (apart_point_and_line(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 81.76/15.88 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? % 81.76/15.88 | [v9: any] : (apart_point_and_line(v1, v2) = v9 & % 81.76/15.88 | apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 & % 81.76/15.88 | distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 % 81.76/15.88 | | v8 = 0))) % 81.76/15.88 | % 81.76/15.88 | ALPHA: (ceq3) implies: % 81.99/15.88 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 81.99/15.88 | (convergent_lines(v0, v1) = 0) | ~ (distinct_lines(v1, v2) = v3) | % 81.99/15.88 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | convergent_lines(v0, v2) = 0) % 81.99/15.88 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 81.99/15.88 | (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | % 81.99/15.88 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | distinct_lines(v1, v2) = 0) % 81.99/15.88 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : % 81.99/15.88 | (v4 = 0 | v3 = 0 | ~ (convergent_lines(v0, v2) = v4) | ~ % 81.99/15.88 | (distinct_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 81.99/15.88 | ? [v5: int] : ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5)) % 81.99/15.88 | % 81.99/15.88 | ALPHA: (cup1) implies: % 81.99/15.88 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 81.99/15.88 | (apart_point_and_line(v0, v1) = v3) | ~ (distinct_lines(v1, v2) = % 81.99/15.88 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: % 81.99/15.88 | any] : (apart_point_and_line(v0, v2) = v4 & convergent_lines(v1, % 81.99/15.88 | v2) = v5 & (v5 = 0 | v4 = 0))) % 81.99/15.88 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 81.99/15.88 | (apart_point_and_line(v0, v2) = v3) | ~ (distinct_lines(v1, v2) = % 81.99/15.88 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: % 81.99/15.88 | any] : (apart_point_and_line(v0, v1) = v4 & convergent_lines(v1, % 81.99/15.88 | v2) = v5 & (v5 = 0 | v4 = 0))) % 81.99/15.88 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] % 81.99/15.88 | : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v1) = v3) | ~ % 81.99/15.88 | (convergent_lines(v1, v2) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) % 81.99/15.88 | | ? [v5: any] : ? [v6: any] : (apart_point_and_line(v0, v2) = v6 & % 81.99/15.88 | distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) % 81.99/15.88 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] % 81.99/15.88 | : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~ % 81.99/15.88 | (apart_point_and_line(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 81.99/15.88 | $i(v0) | ? [v5: any] : ? [v6: any] : (convergent_lines(v1, v2) = % 81.99/15.88 | v6 & distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) % 81.99/15.88 | % 81.99/15.88 | ALPHA: (occu1) implies: % 81.99/15.89 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 81.99/15.89 | (convergent_lines(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | % 81.99/15.89 | unorthogonal_lines(v0, v1) = 0) % 81.99/15.89 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 81.99/15.89 | (unorthogonal_lines(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | % 81.99/15.89 | convergent_lines(v0, v1) = 0) % 81.99/15.89 | % 81.99/15.89 | ALPHA: (oac1) implies: % 81.99/15.89 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ % 81.99/15.89 | (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) % 81.99/15.89 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : % 81.99/15.89 | ? [v6: any] : ? [v7: any] : (unorthogonal_lines(v1, v2) = v7 & % 81.99/15.89 | unorthogonal_lines(v0, v2) = v5 & unorthogonal_lines(v0, v1) = v4 % 81.99/15.89 | & convergent_lines(v1, v2) = v6 & ( ~ (v4 = 0) | (v7 = 0 & v6 = 0) % 81.99/15.89 | | (v5 = 0 & v3 = 0)))) % 81.99/15.89 | (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ % 81.99/15.89 | (unorthogonal_lines(v0, v1) = 0) | ~ (convergent_lines(v0, v2) = % 81.99/15.89 | v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: % 81.99/15.89 | any] : ? [v6: any] : ? [v7: any] : (unorthogonal_lines(v1, v2) = % 81.99/15.89 | v7 & unorthogonal_lines(v0, v2) = v5 & convergent_lines(v1, v2) = % 81.99/15.89 | v6 & convergent_lines(v0, v1) = v4 & ( ~ (v4 = 0) | (v7 = 0 & v6 = % 81.99/15.89 | 0) | (v5 = 0 & v3 = 0)))) % 81.99/15.89 | (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ % 81.99/15.89 | (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = % 81.99/15.89 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: % 81.99/15.89 | any] : ? [v6: any] : ? [v7: any] : (unorthogonal_lines(v1, v2) = % 81.99/15.89 | v7 & unorthogonal_lines(v0, v1) = v4 & convergent_lines(v1, v2) = % 81.99/15.89 | v6 & convergent_lines(v0, v2) = v5 & ( ~ (v4 = 0) | (v7 = 0 & v6 = % 81.99/15.89 | 0) | (v5 = 0 & v3 = 0)))) % 81.99/15.89 | (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ % 81.99/15.89 | (unorthogonal_lines(v0, v2) = v3) | ~ (unorthogonal_lines(v0, v1) = % 81.99/15.89 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: % 81.99/15.89 | any] : ? [v6: any] : ? [v7: any] : (unorthogonal_lines(v1, v2) = % 81.99/15.89 | v7 & convergent_lines(v1, v2) = v6 & convergent_lines(v0, v2) = v5 % 81.99/15.89 | & convergent_lines(v0, v1) = v4 & ( ~ (v4 = 0) | (v7 = 0 & v6 = 0) % 81.99/15.89 | | (v5 = 0 & v3 = 0)))) % 81.99/15.89 | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ % 81.99/15.89 | (unorthogonal_lines(v1, v2) = v3) | ~ (convergent_lines(v0, v1) = % 81.99/15.89 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: % 81.99/15.89 | any] : ? [v6: any] : ? [v7: any] : (unorthogonal_lines(v0, v2) = % 81.99/15.89 | v6 & unorthogonal_lines(v0, v1) = v4 & convergent_lines(v1, v2) = % 81.99/15.89 | v7 & convergent_lines(v0, v2) = v5 & ( ~ (v4 = 0) | (v7 = 0 & v3 = % 81.99/15.89 | 0) | (v6 = 0 & v5 = 0)))) % 81.99/15.90 | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] % 81.99/15.90 | : ( ~ (convergent_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) = % 81.99/15.90 | v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: % 81.99/15.90 | any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v1, v2) = % 81.99/15.90 | v8 & unorthogonal_lines(v0, v2) = v7 & unorthogonal_lines(v0, v1) % 81.99/15.90 | = v6 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) % 81.99/15.90 | | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0)))) % 81.99/15.90 | (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] % 81.99/15.90 | : ( ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2) % 81.99/15.90 | = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: % 81.99/15.90 | any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v1, v2) = % 81.99/15.90 | v8 & unorthogonal_lines(v0, v1) = v6 & convergent_lines(v0, v2) = % 81.99/15.90 | v7 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | % 81.99/15.90 | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0)))) % 81.99/15.90 | (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] % 81.99/15.90 | : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) % 81.99/15.90 | = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: % 81.99/15.90 | any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v0, v2) = % 81.99/15.90 | v7 & unorthogonal_lines(v0, v1) = v6 & convergent_lines(v1, v2) = % 81.99/15.90 | v8 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | % 81.99/15.90 | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0)))) % 81.99/15.90 | (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] % 81.99/15.90 | : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~ (unorthogonal_lines(v0, % 81.99/15.90 | v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : % 81.99/15.90 | ? [v6: any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v0, % 81.99/15.90 | v1) = v6 & convergent_lines(v1, v2) = v8 & convergent_lines(v0, % 81.99/15.90 | v2) = v7 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 % 81.99/15.90 | = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0)))) % 81.99/15.90 | % 81.99/15.90 | ALPHA: (ouo1) implies: % 81.99/15.90 | (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 81.99/15.90 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v1, v3) = v5) % 81.99/15.90 | | ~ (apart_point_and_line(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2) | % 81.99/15.90 | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : % 81.99/15.90 | (unorthogonal_lines(v2, v3) = v8 & apart_point_and_line(v0, v1) = v7 % 81.99/15.90 | & distinct_lines(v1, v2) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) % 81.99/15.90 | (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 81.99/15.90 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v2, v3) = v5) % 81.99/15.90 | | ~ (apart_point_and_line(v0, v1) = v4) | ~ $i(v3) | ~ $i(v2) | % 81.99/15.90 | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : % 81.99/15.90 | (unorthogonal_lines(v1, v3) = v8 & apart_point_and_line(v0, v2) = v7 % 81.99/15.90 | & distinct_lines(v1, v2) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) % 81.99/15.90 | (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 81.99/15.90 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v2, v3) = v5) % 81.99/15.90 | | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_lines(v1, % 81.99/15.90 | v2) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 81.99/15.90 | [v6: any] : ? [v7: any] : (unorthogonal_lines(v1, v3) = v7 & % 81.99/15.90 | apart_point_and_line(v0, v1) = v6 & (v7 = 0 | v6 = 0))) % 81.99/15.90 | % 81.99/15.90 | ALPHA: (function-axioms) implies: % 81.99/15.90 | (28) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 81.99/15.90 | : ! [v3: $i] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ % 81.99/15.90 | (distinct_lines(v3, v2) = v0)) % 81.99/15.90 | (29) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 81.99/15.90 | : ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ % 81.99/15.90 | (convergent_lines(v3, v2) = v0)) % 81.99/15.90 | (30) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 81.99/15.90 | : ! [v3: $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ % 81.99/15.90 | (apart_point_and_line(v3, v2) = v0)) % 81.99/15.91 | (31) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 81.99/15.91 | : ! [v3: $i] : (v1 = v0 | ~ (unorthogonal_lines(v3, v2) = v1) | ~ % 81.99/15.91 | (unorthogonal_lines(v3, v2) = v0)) % 81.99/15.91 | % 81.99/15.91 | DELTA: instantiating (con) with fresh symbols all_25_0, all_25_1, all_25_2, % 81.99/15.91 | all_25_3, all_25_4 gives: % 81.99/15.91 | (32) orthogonal_through_point(all_25_1, all_25_4) = all_25_0 & % 81.99/15.91 | orthogonal_through_point(all_25_3, all_25_4) = all_25_1 & % 81.99/15.91 | parallel_through_point(all_25_3, all_25_4) = all_25_2 & % 81.99/15.91 | distinct_lines(all_25_2, all_25_0) = 0 & $i(all_25_0) & $i(all_25_1) & % 81.99/15.91 | $i(all_25_2) & $i(all_25_3) & $i(all_25_4) % 81.99/15.91 | % 81.99/15.91 | ALPHA: (32) implies: % 81.99/15.91 | (33) $i(all_25_4) % 81.99/15.91 | (34) $i(all_25_3) % 81.99/15.91 | (35) $i(all_25_2) % 81.99/15.91 | (36) $i(all_25_1) % 81.99/15.91 | (37) $i(all_25_0) % 81.99/15.91 | (38) distinct_lines(all_25_2, all_25_0) = 0 % 81.99/15.91 | (39) parallel_through_point(all_25_3, all_25_4) = all_25_2 % 81.99/15.91 | (40) orthogonal_through_point(all_25_3, all_25_4) = all_25_1 % 81.99/15.91 | (41) orthogonal_through_point(all_25_1, all_25_4) = all_25_0 % 81.99/15.91 | % 81.99/15.91 | GROUND_INST: instantiating (cp2) with all_25_4, all_25_3, all_25_2, % 81.99/15.91 | simplifying with (33), (34), (39) gives: % 81.99/15.91 | (42) ? [v0: int] : ( ~ (v0 = 0) & apart_point_and_line(all_25_4, all_25_2) % 81.99/15.91 | = v0) % 81.99/15.91 | % 81.99/15.91 | GROUND_INST: instantiating (cp1) with all_25_4, all_25_3, all_25_2, % 81.99/15.91 | simplifying with (33), (34), (39) gives: % 81.99/15.91 | (43) ? [v0: int] : ( ~ (v0 = 0) & convergent_lines(all_25_2, all_25_3) = % 81.99/15.91 | v0) % 81.99/15.91 | % 81.99/15.91 | GROUND_INST: instantiating (ooc1) with all_25_4, all_25_3, all_25_1, % 81.99/15.91 | simplifying with (33), (34), (40) gives: % 81.99/15.91 | (44) ? [v0: int] : ( ~ (v0 = 0) & unorthogonal_lines(all_25_1, all_25_3) = % 81.99/15.91 | v0) % 81.99/15.91 | % 81.99/15.91 | GROUND_INST: instantiating (ooc2) with all_25_4, all_25_3, all_25_1, % 81.99/15.91 | simplifying with (33), (34), (40) gives: % 81.99/15.91 | (45) ? [v0: int] : ( ~ (v0 = 0) & apart_point_and_line(all_25_4, all_25_1) % 81.99/15.91 | = v0) % 81.99/15.91 | % 81.99/15.91 | GROUND_INST: instantiating (ooc1) with all_25_4, all_25_1, all_25_0, % 81.99/15.91 | simplifying with (33), (36), (41) gives: % 81.99/15.91 | (46) ? [v0: int] : ( ~ (v0 = 0) & unorthogonal_lines(all_25_0, all_25_1) = % 81.99/15.91 | v0) % 81.99/15.91 | % 81.99/15.91 | GROUND_INST: instantiating (ooc2) with all_25_4, all_25_1, all_25_0, % 81.99/15.91 | simplifying with (33), (36), (41) gives: % 81.99/15.91 | (47) ? [v0: int] : ( ~ (v0 = 0) & apart_point_and_line(all_25_4, all_25_0) % 81.99/15.91 | = v0) % 81.99/15.91 | % 81.99/15.91 | DELTA: instantiating (47) with fresh symbol all_32_0 gives: % 81.99/15.91 | (48) ~ (all_32_0 = 0) & apart_point_and_line(all_25_4, all_25_0) = % 81.99/15.91 | all_32_0 % 81.99/15.91 | % 81.99/15.91 | ALPHA: (48) implies: % 81.99/15.91 | (49) ~ (all_32_0 = 0) % 81.99/15.91 | (50) apart_point_and_line(all_25_4, all_25_0) = all_32_0 % 81.99/15.91 | % 81.99/15.91 | DELTA: instantiating (45) with fresh symbol all_34_0 gives: % 81.99/15.91 | (51) ~ (all_34_0 = 0) & apart_point_and_line(all_25_4, all_25_1) = % 81.99/15.91 | all_34_0 % 81.99/15.91 | % 81.99/15.91 | ALPHA: (51) implies: % 81.99/15.91 | (52) ~ (all_34_0 = 0) % 81.99/15.91 | (53) apart_point_and_line(all_25_4, all_25_1) = all_34_0 % 81.99/15.91 | % 81.99/15.91 | DELTA: instantiating (43) with fresh symbol all_36_0 gives: % 81.99/15.91 | (54) ~ (all_36_0 = 0) & convergent_lines(all_25_2, all_25_3) = all_36_0 % 81.99/15.91 | % 81.99/15.91 | ALPHA: (54) implies: % 81.99/15.91 | (55) ~ (all_36_0 = 0) % 81.99/15.91 | (56) convergent_lines(all_25_2, all_25_3) = all_36_0 % 81.99/15.91 | % 81.99/15.91 | DELTA: instantiating (42) with fresh symbol all_38_0 gives: % 81.99/15.91 | (57) ~ (all_38_0 = 0) & apart_point_and_line(all_25_4, all_25_2) = % 81.99/15.91 | all_38_0 % 81.99/15.91 | % 81.99/15.91 | ALPHA: (57) implies: % 81.99/15.91 | (58) ~ (all_38_0 = 0) % 81.99/15.91 | (59) apart_point_and_line(all_25_4, all_25_2) = all_38_0 % 81.99/15.91 | % 81.99/15.91 | DELTA: instantiating (44) with fresh symbol all_40_0 gives: % 81.99/15.91 | (60) ~ (all_40_0 = 0) & unorthogonal_lines(all_25_1, all_25_3) = all_40_0 % 81.99/15.91 | % 81.99/15.91 | ALPHA: (60) implies: % 81.99/15.91 | (61) ~ (all_40_0 = 0) % 81.99/15.91 | (62) unorthogonal_lines(all_25_1, all_25_3) = all_40_0 % 81.99/15.91 | % 81.99/15.91 | DELTA: instantiating (46) with fresh symbol all_42_0 gives: % 81.99/15.91 | (63) ~ (all_42_0 = 0) & unorthogonal_lines(all_25_0, all_25_1) = all_42_0 % 81.99/15.91 | % 81.99/15.91 | ALPHA: (63) implies: % 81.99/15.91 | (64) ~ (all_42_0 = 0) % 81.99/15.91 | (65) unorthogonal_lines(all_25_0, all_25_1) = all_42_0 % 81.99/15.91 | % 81.99/15.91 | GROUND_INST: instantiating (4) with all_25_2, all_25_2, all_25_3, all_36_0, % 81.99/15.91 | all_36_0, simplifying with (34), (35), (56) gives: % 81.99/15.92 | (66) all_36_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & % 81.99/15.92 | convergent_lines(all_25_2, all_25_2) = v0) % 81.99/15.92 | % 81.99/15.92 | GROUND_INST: instantiating (21) with all_25_2, all_25_2, all_25_3, all_36_0, % 81.99/15.92 | all_36_0, simplifying with (34), (35), (56) gives: % 81.99/15.92 | (67) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 81.99/15.92 | (unorthogonal_lines(all_25_2, all_25_2) = v1 & % 81.99/15.92 | unorthogonal_lines(all_25_2, all_25_3) = v3 & % 81.99/15.92 | unorthogonal_lines(all_25_2, all_25_3) = v2 & % 81.99/15.92 | convergent_lines(all_25_2, all_25_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 81.99/15.92 | 0) | (v3 = 0 & all_36_0 = 0) | (v2 = 0 & all_36_0 = 0))) % 81.99/15.92 | % 81.99/15.92 | GROUND_INST: instantiating (14) with all_25_2, all_25_3, all_36_0, simplifying % 81.99/15.92 | with (34), (35), (56) gives: % 81.99/15.92 | (68) all_36_0 = 0 | unorthogonal_lines(all_25_2, all_25_3) = 0 % 81.99/15.92 | % 81.99/15.92 | GROUND_INST: instantiating (13) with all_25_4, all_25_2, all_25_2, all_38_0, % 81.99/15.92 | all_38_0, simplifying with (33), (35), (59) gives: % 81.99/15.92 | (69) all_38_0 = 0 | ? [v0: any] : ? [v1: any] : % 81.99/15.92 | (convergent_lines(all_25_2, all_25_2) = v1 & distinct_lines(all_25_2, % 81.99/15.92 | all_25_2) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 81.99/15.92 | % 81.99/15.92 | GROUND_INST: instantiating (6) with all_25_4, all_25_4, all_25_2, all_25_2, % 81.99/15.92 | all_38_0, all_38_0, simplifying with (33), (35), (59) gives: % 81.99/15.92 | (70) all_38_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 81.99/15.92 | any] : (apart_point_and_line(all_25_4, all_25_2) = v3 & % 81.99/15.92 | apart_point_and_line(all_25_4, all_25_2) = v2 & % 81.99/15.92 | distinct_lines(all_25_2, all_25_2) = v1 & distinct_points(all_25_4, % 81.99/15.92 | all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 81.99/15.92 | % 81.99/15.92 | GROUND_INST: instantiating (10) with all_25_4, all_25_2, all_25_0, all_38_0, % 81.99/15.92 | simplifying with (33), (35), (37), (38), (59) gives: % 81.99/15.92 | (71) all_38_0 = 0 | ? [v0: any] : ? [v1: any] : % 81.99/15.92 | (apart_point_and_line(all_25_4, all_25_0) = v0 & % 81.99/15.92 | convergent_lines(all_25_2, all_25_0) = v1 & (v1 = 0 | v0 = 0)) % 81.99/15.92 | % 81.99/15.92 | GROUND_INST: instantiating (12) with all_25_4, all_25_2, all_25_3, all_38_0, % 81.99/15.92 | all_36_0, simplifying with (33), (34), (35), (56), (59) gives: % 81.99/15.92 | (72) all_38_0 = 0 | all_36_0 = 0 | ? [v0: any] : ? [v1: any] : % 81.99/15.92 | (apart_point_and_line(all_25_4, all_25_3) = v1 & % 81.99/15.92 | distinct_lines(all_25_2, all_25_3) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 81.99/15.92 | % 81.99/15.92 | GROUND_INST: instantiating (13) with all_25_4, all_25_2, all_25_1, all_38_0, % 81.99/15.92 | all_34_0, simplifying with (33), (35), (36), (53), (59) gives: % 81.99/15.92 | (73) all_38_0 = 0 | all_34_0 = 0 | ? [v0: any] : ? [v1: any] : % 81.99/15.92 | (convergent_lines(all_25_2, all_25_1) = v1 & distinct_lines(all_25_2, % 81.99/15.92 | all_25_1) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 81.99/15.92 | % 81.99/15.92 | GROUND_INST: instantiating (6) with all_25_4, all_25_4, all_25_1, all_25_2, % 81.99/15.92 | all_34_0, all_38_0, simplifying with (33), (35), (36), (53), (59) % 81.99/15.92 | gives: % 81.99/15.92 | (74) all_38_0 = 0 | all_34_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 81.99/15.92 | any] : ? [v3: any] : (apart_point_and_line(all_25_4, all_25_1) = v3 % 81.99/15.92 | & apart_point_and_line(all_25_4, all_25_2) = v2 & % 81.99/15.92 | distinct_lines(all_25_1, all_25_2) = v1 & distinct_points(all_25_4, % 81.99/15.92 | all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 81.99/15.92 | % 81.99/15.92 | GROUND_INST: instantiating (6) with all_25_4, all_25_4, all_25_0, all_25_0, % 81.99/15.92 | all_32_0, all_32_0, simplifying with (33), (37), (50) gives: % 81.99/15.92 | (75) all_32_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 81.99/15.92 | any] : (apart_point_and_line(all_25_4, all_25_0) = v3 & % 81.99/15.92 | apart_point_and_line(all_25_4, all_25_0) = v2 & % 81.99/15.92 | distinct_lines(all_25_0, all_25_0) = v1 & distinct_points(all_25_4, % 81.99/15.92 | all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 81.99/15.92 | % 81.99/15.92 | GROUND_INST: instantiating (6) with all_25_4, all_25_4, all_25_1, all_25_0, % 81.99/15.92 | all_34_0, all_32_0, simplifying with (33), (36), (37), (50), (53) % 81.99/15.92 | gives: % 81.99/15.92 | (76) all_34_0 = 0 | all_32_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 81.99/15.92 | any] : ? [v3: any] : (apart_point_and_line(all_25_4, all_25_0) = v2 % 81.99/15.92 | & apart_point_and_line(all_25_4, all_25_1) = v3 & % 81.99/15.92 | distinct_lines(all_25_1, all_25_0) = v1 & distinct_points(all_25_4, % 81.99/15.92 | all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 81.99/15.92 | % 81.99/15.92 | GROUND_INST: instantiating (5) with all_25_4, all_25_4, all_25_0, all_25_1, % 81.99/15.92 | all_34_0, all_32_0, simplifying with (33), (36), (37), (50), (53) % 81.99/15.92 | gives: % 81.99/15.92 | (77) all_34_0 = 0 | all_32_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 81.99/15.92 | any] : ? [v3: any] : (apart_point_and_line(all_25_4, all_25_0) = v2 % 81.99/15.92 | & apart_point_and_line(all_25_4, all_25_1) = v3 & % 81.99/15.92 | distinct_lines(all_25_0, all_25_1) = v1 & distinct_points(all_25_4, % 81.99/15.92 | all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 81.99/15.92 | % 81.99/15.92 | GROUND_INST: instantiating (13) with all_25_4, all_25_2, all_25_0, all_38_0, % 81.99/15.92 | all_32_0, simplifying with (33), (35), (37), (50), (59) gives: % 81.99/15.92 | (78) all_38_0 = 0 | all_32_0 = 0 | ? [v0: any] : ? [v1: any] : % 81.99/15.92 | (convergent_lines(all_25_2, all_25_0) = v1 & distinct_lines(all_25_2, % 81.99/15.92 | all_25_0) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 81.99/15.92 | % 81.99/15.93 | GROUND_INST: instantiating (6) with all_25_4, all_25_4, all_25_0, all_25_2, % 81.99/15.93 | all_32_0, all_38_0, simplifying with (33), (35), (37), (50), (59) % 81.99/15.93 | gives: % 81.99/15.93 | (79) all_38_0 = 0 | all_32_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 81.99/15.93 | any] : ? [v3: any] : (apart_point_and_line(all_25_4, all_25_0) = v3 % 81.99/15.93 | & apart_point_and_line(all_25_4, all_25_2) = v2 & % 81.99/15.93 | distinct_lines(all_25_0, all_25_2) = v1 & distinct_points(all_25_4, % 81.99/15.93 | all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 81.99/15.93 | % 81.99/15.93 | GROUND_INST: instantiating (5) with all_25_4, all_25_4, all_25_0, all_25_2, % 81.99/15.93 | all_38_0, all_32_0, simplifying with (33), (35), (37), (50), (59) % 81.99/15.93 | gives: % 81.99/15.93 | (80) all_38_0 = 0 | all_32_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 81.99/15.93 | any] : ? [v3: any] : (apart_point_and_line(all_25_4, all_25_0) = v2 % 81.99/15.93 | & apart_point_and_line(all_25_4, all_25_2) = v3 & % 81.99/15.93 | distinct_lines(all_25_0, all_25_2) = v1 & distinct_points(all_25_4, % 81.99/15.93 | all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 81.99/15.93 | % 81.99/15.93 | GROUND_INST: instantiating (11) with all_25_4, all_25_2, all_25_0, all_32_0, % 81.99/15.93 | simplifying with (33), (35), (37), (38), (50) gives: % 81.99/15.93 | (81) all_32_0 = 0 | ? [v0: any] : ? [v1: any] : % 81.99/15.93 | (apart_point_and_line(all_25_4, all_25_2) = v0 & % 81.99/15.93 | convergent_lines(all_25_2, all_25_0) = v1 & (v1 = 0 | v0 = 0)) % 81.99/15.93 | % 81.99/15.93 | GROUND_INST: instantiating (26) with all_25_4, all_25_0, all_25_1, all_25_3, % 81.99/15.93 | all_32_0, all_40_0, simplifying with (33), (34), (36), (37), % 81.99/15.93 | (50), (62) gives: % 81.99/15.93 | (82) all_40_0 = 0 | all_32_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 81.99/15.93 | any] : (unorthogonal_lines(all_25_0, all_25_3) = v2 & % 81.99/15.93 | apart_point_and_line(all_25_4, all_25_1) = v1 & % 81.99/15.93 | distinct_lines(all_25_0, all_25_1) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 % 81.99/15.93 | = 0)) % 81.99/15.93 | % 81.99/15.93 | GROUND_INST: instantiating (25) with all_25_4, all_25_1, all_25_0, all_25_3, % 81.99/15.93 | all_32_0, all_40_0, simplifying with (33), (34), (36), (37), % 81.99/15.93 | (50), (62) gives: % 81.99/15.93 | (83) all_40_0 = 0 | all_32_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 81.99/15.93 | any] : (unorthogonal_lines(all_25_0, all_25_3) = v2 & % 81.99/15.93 | apart_point_and_line(all_25_4, all_25_1) = v1 & % 81.99/15.93 | distinct_lines(all_25_1, all_25_0) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 % 81.99/15.93 | = 0)) % 81.99/15.93 | % 81.99/15.93 | GROUND_INST: instantiating (26) with all_25_4, all_25_2, all_25_1, all_25_3, % 81.99/15.93 | all_38_0, all_40_0, simplifying with (33), (34), (35), (36), % 81.99/15.93 | (59), (62) gives: % 81.99/15.93 | (84) all_40_0 = 0 | all_38_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 81.99/15.93 | any] : (unorthogonal_lines(all_25_2, all_25_3) = v2 & % 81.99/15.93 | apart_point_and_line(all_25_4, all_25_1) = v1 & % 81.99/15.93 | distinct_lines(all_25_2, all_25_1) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 % 81.99/15.93 | = 0)) % 81.99/15.93 | % 81.99/15.93 | GROUND_INST: instantiating (25) with all_25_4, all_25_1, all_25_2, all_25_3, % 81.99/15.93 | all_38_0, all_40_0, simplifying with (33), (34), (35), (36), % 81.99/15.93 | (59), (62) gives: % 81.99/15.93 | (85) all_40_0 = 0 | all_38_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 81.99/15.93 | any] : (unorthogonal_lines(all_25_2, all_25_3) = v2 & % 81.99/15.93 | apart_point_and_line(all_25_4, all_25_1) = v1 & % 81.99/15.93 | distinct_lines(all_25_1, all_25_2) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 % 81.99/15.93 | = 0)) % 81.99/15.93 | % 81.99/15.93 | GROUND_INST: instantiating (24) with all_25_1, all_25_1, all_25_3, all_40_0, % 81.99/15.93 | all_40_0, simplifying with (34), (36), (62) gives: % 81.99/15.93 | (86) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 81.99/15.93 | (unorthogonal_lines(all_25_1, all_25_1) = v1 & % 81.99/15.93 | convergent_lines(all_25_1, all_25_1) = v0 & % 81.99/15.93 | convergent_lines(all_25_1, all_25_3) = v3 & % 81.99/15.93 | convergent_lines(all_25_1, all_25_3) = v2 & ( ~ (v1 = 0) | ~ (v0 = % 81.99/15.93 | 0) | (v3 = 0 & all_40_0 = 0) | (v2 = 0 & all_40_0 = 0))) % 81.99/15.93 | % 81.99/15.93 | GROUND_INST: instantiating (23) with all_25_2, all_25_1, all_25_3, all_36_0, % 81.99/15.93 | all_40_0, simplifying with (34), (35), (36), (56), (62) gives: % 81.99/15.93 | (87) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 81.99/15.93 | (unorthogonal_lines(all_25_2, all_25_1) = v1 & % 81.99/15.93 | unorthogonal_lines(all_25_2, all_25_3) = v2 & % 81.99/15.93 | convergent_lines(all_25_1, all_25_3) = v3 & % 81.99/15.93 | convergent_lines(all_25_2, all_25_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 81.99/15.93 | 0) | (v3 = 0 & all_40_0 = 0) | (v2 = 0 & all_36_0 = 0))) % 81.99/15.93 | % 81.99/15.93 | GROUND_INST: instantiating (22) with all_25_1, all_25_2, all_25_3, all_40_0, % 81.99/15.93 | all_36_0, simplifying with (34), (35), (36), (56), (62) gives: % 81.99/15.93 | (88) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 81.99/15.93 | (unorthogonal_lines(all_25_1, all_25_2) = v1 & % 81.99/15.93 | unorthogonal_lines(all_25_2, all_25_3) = v3 & % 81.99/15.93 | convergent_lines(all_25_1, all_25_2) = v0 & % 81.99/15.93 | convergent_lines(all_25_1, all_25_3) = v2 & ( ~ (v1 = 0) | ~ (v0 = % 81.99/15.93 | 0) | (v3 = 0 & all_36_0 = 0) | (v2 = 0 & all_40_0 = 0))) % 81.99/15.93 | % 81.99/15.93 | GROUND_INST: instantiating (15) with all_25_1, all_25_3, all_40_0, simplifying % 81.99/15.93 | with (34), (36), (62) gives: % 81.99/15.93 | (89) all_40_0 = 0 | convergent_lines(all_25_1, all_25_3) = 0 % 81.99/15.93 | % 81.99/15.93 | GROUND_INST: instantiating (27) with all_25_4, all_25_2, all_25_0, all_25_1, % 81.99/15.93 | all_32_0, all_42_0, simplifying with (33), (35), (36), (37), % 81.99/15.93 | (38), (50), (65) gives: % 81.99/15.93 | (90) all_42_0 = 0 | all_32_0 = 0 | ? [v0: any] : ? [v1: any] : % 81.99/15.93 | (unorthogonal_lines(all_25_2, all_25_1) = v1 & % 81.99/15.93 | apart_point_and_line(all_25_4, all_25_2) = v0 & (v1 = 0 | v0 = 0)) % 81.99/15.93 | % 81.99/15.93 | GROUND_INST: instantiating (25) with all_25_4, all_25_0, all_25_1, all_25_1, % 81.99/15.93 | all_34_0, all_42_0, simplifying with (33), (36), (37), (53), (65) % 81.99/15.93 | gives: % 81.99/15.93 | (91) all_42_0 = 0 | all_34_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 81.99/15.93 | any] : (unorthogonal_lines(all_25_1, all_25_1) = v2 & % 81.99/15.93 | apart_point_and_line(all_25_4, all_25_0) = v1 & % 81.99/15.93 | distinct_lines(all_25_0, all_25_1) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 % 81.99/15.93 | = 0)) % 81.99/15.93 | % 81.99/15.94 | GROUND_INST: instantiating (26) with all_25_4, all_25_2, all_25_0, all_25_1, % 81.99/15.94 | all_38_0, all_42_0, simplifying with (33), (35), (36), (37), % 81.99/15.94 | (59), (65) gives: % 81.99/15.94 | (92) all_42_0 = 0 | all_38_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 81.99/15.94 | any] : (unorthogonal_lines(all_25_2, all_25_1) = v2 & % 81.99/15.94 | apart_point_and_line(all_25_4, all_25_0) = v1 & % 81.99/15.94 | distinct_lines(all_25_2, all_25_0) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 % 81.99/15.94 | = 0)) % 81.99/15.94 | % 81.99/15.94 | GROUND_INST: instantiating (25) with all_25_4, all_25_0, all_25_2, all_25_1, % 81.99/15.94 | all_38_0, all_42_0, simplifying with (33), (35), (36), (37), % 81.99/15.94 | (59), (65) gives: % 81.99/15.94 | (93) all_42_0 = 0 | all_38_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 81.99/15.94 | any] : (unorthogonal_lines(all_25_2, all_25_1) = v2 & % 81.99/15.94 | apart_point_and_line(all_25_4, all_25_0) = v1 & % 81.99/15.94 | distinct_lines(all_25_0, all_25_2) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 % 81.99/15.94 | = 0)) % 81.99/15.94 | % 81.99/15.94 | DELTA: instantiating (67) with fresh symbols all_51_0, all_51_1, all_51_2, % 81.99/15.94 | all_51_3 gives: % 81.99/15.94 | (94) unorthogonal_lines(all_25_2, all_25_2) = all_51_2 & % 81.99/15.94 | unorthogonal_lines(all_25_2, all_25_3) = all_51_0 & % 81.99/15.94 | unorthogonal_lines(all_25_2, all_25_3) = all_51_1 & % 81.99/15.94 | convergent_lines(all_25_2, all_25_2) = all_51_3 & ( ~ (all_51_2 = 0) | % 81.99/15.94 | ~ (all_51_3 = 0) | (all_51_0 = 0 & all_36_0 = 0) | (all_51_1 = 0 & % 81.99/15.94 | all_36_0 = 0)) % 81.99/15.94 | % 81.99/15.94 | ALPHA: (94) implies: % 81.99/15.94 | (95) convergent_lines(all_25_2, all_25_2) = all_51_3 % 81.99/15.94 | (96) unorthogonal_lines(all_25_2, all_25_3) = all_51_1 % 81.99/15.94 | (97) unorthogonal_lines(all_25_2, all_25_3) = all_51_0 % 81.99/15.94 | % 81.99/15.94 | DELTA: instantiating (88) with fresh symbols all_53_0, all_53_1, all_53_2, % 81.99/15.94 | all_53_3 gives: % 81.99/15.94 | (98) unorthogonal_lines(all_25_1, all_25_2) = all_53_2 & % 81.99/15.94 | unorthogonal_lines(all_25_2, all_25_3) = all_53_0 & % 81.99/15.94 | convergent_lines(all_25_1, all_25_2) = all_53_3 & % 81.99/15.94 | convergent_lines(all_25_1, all_25_3) = all_53_1 & ( ~ (all_53_2 = 0) | % 81.99/15.94 | ~ (all_53_3 = 0) | (all_53_0 = 0 & all_36_0 = 0) | (all_53_1 = 0 & % 81.99/15.94 | all_40_0 = 0)) % 81.99/15.94 | % 81.99/15.94 | ALPHA: (98) implies: % 81.99/15.94 | (99) convergent_lines(all_25_1, all_25_3) = all_53_1 % 81.99/15.94 | (100) convergent_lines(all_25_1, all_25_2) = all_53_3 % 81.99/15.94 | (101) unorthogonal_lines(all_25_2, all_25_3) = all_53_0 % 81.99/15.94 | (102) unorthogonal_lines(all_25_1, all_25_2) = all_53_2 % 81.99/15.94 | % 81.99/15.94 | DELTA: instantiating (86) with fresh symbols all_55_0, all_55_1, all_55_2, % 81.99/15.94 | all_55_3 gives: % 81.99/15.94 | (103) unorthogonal_lines(all_25_1, all_25_1) = all_55_2 & % 81.99/15.94 | convergent_lines(all_25_1, all_25_1) = all_55_3 & % 81.99/15.94 | convergent_lines(all_25_1, all_25_3) = all_55_0 & % 81.99/15.94 | convergent_lines(all_25_1, all_25_3) = all_55_1 & ( ~ (all_55_2 = 0) % 81.99/15.94 | | ~ (all_55_3 = 0) | (all_55_0 = 0 & all_40_0 = 0) | (all_55_1 = 0 % 81.99/15.94 | & all_40_0 = 0)) % 81.99/15.94 | % 81.99/15.94 | ALPHA: (103) implies: % 81.99/15.94 | (104) convergent_lines(all_25_1, all_25_3) = all_55_1 % 81.99/15.94 | (105) convergent_lines(all_25_1, all_25_3) = all_55_0 % 81.99/15.94 | (106) convergent_lines(all_25_1, all_25_1) = all_55_3 % 81.99/15.94 | (107) unorthogonal_lines(all_25_1, all_25_1) = all_55_2 % 81.99/15.94 | (108) ~ (all_55_2 = 0) | ~ (all_55_3 = 0) | (all_55_0 = 0 & all_40_0 = 0) % 81.99/15.94 | | (all_55_1 = 0 & all_40_0 = 0) % 81.99/15.94 | % 81.99/15.94 | DELTA: instantiating (87) with fresh symbols all_57_0, all_57_1, all_57_2, % 81.99/15.94 | all_57_3 gives: % 81.99/15.94 | (109) unorthogonal_lines(all_25_2, all_25_1) = all_57_2 & % 81.99/15.94 | unorthogonal_lines(all_25_2, all_25_3) = all_57_1 & % 81.99/15.94 | convergent_lines(all_25_1, all_25_3) = all_57_0 & % 81.99/15.94 | convergent_lines(all_25_2, all_25_1) = all_57_3 & ( ~ (all_57_2 = 0) % 81.99/15.94 | | ~ (all_57_3 = 0) | (all_57_0 = 0 & all_40_0 = 0) | (all_57_1 = 0 % 81.99/15.94 | & all_36_0 = 0)) % 81.99/15.94 | % 81.99/15.94 | ALPHA: (109) implies: % 81.99/15.94 | (110) convergent_lines(all_25_2, all_25_1) = all_57_3 % 81.99/15.94 | (111) convergent_lines(all_25_1, all_25_3) = all_57_0 % 81.99/15.94 | (112) unorthogonal_lines(all_25_2, all_25_3) = all_57_1 % 81.99/15.94 | (113) unorthogonal_lines(all_25_2, all_25_1) = all_57_2 % 81.99/15.94 | (114) ~ (all_57_2 = 0) | ~ (all_57_3 = 0) | (all_57_0 = 0 & all_40_0 = 0) % 81.99/15.94 | | (all_57_1 = 0 & all_36_0 = 0) % 81.99/15.94 | % 81.99/15.94 | BETA: splitting (68) gives: % 81.99/15.94 | % 81.99/15.94 | Case 1: % 81.99/15.94 | | % 81.99/15.94 | | (115) unorthogonal_lines(all_25_2, all_25_3) = 0 % 81.99/15.94 | | % 81.99/15.94 | | BETA: splitting (89) gives: % 81.99/15.94 | | % 81.99/15.94 | | Case 1: % 81.99/15.94 | | | % 81.99/15.94 | | | (116) convergent_lines(all_25_1, all_25_3) = 0 % 81.99/15.94 | | | % 81.99/15.94 | | | BETA: splitting (81) gives: % 81.99/15.94 | | | % 81.99/15.94 | | | Case 1: % 81.99/15.94 | | | | % 81.99/15.94 | | | | (117) all_32_0 = 0 % 81.99/15.94 | | | | % 81.99/15.94 | | | | REDUCE: (49), (117) imply: % 81.99/15.94 | | | | (118) $false % 82.31/15.94 | | | | % 82.31/15.94 | | | | CLOSE: (118) is inconsistent. % 82.31/15.94 | | | | % 82.31/15.94 | | | Case 2: % 82.31/15.94 | | | | % 82.31/15.94 | | | | (119) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_25_4, % 82.31/15.94 | | | | all_25_2) = v0 & convergent_lines(all_25_2, all_25_0) = v1 % 82.31/15.94 | | | | & (v1 = 0 | v0 = 0)) % 82.31/15.94 | | | | % 82.31/15.94 | | | | DELTA: instantiating (119) with fresh symbols all_75_0, all_75_1 gives: % 82.31/15.94 | | | | (120) apart_point_and_line(all_25_4, all_25_2) = all_75_1 & % 82.31/15.94 | | | | convergent_lines(all_25_2, all_25_0) = all_75_0 & (all_75_0 = 0 % 82.31/15.94 | | | | | all_75_1 = 0) % 82.31/15.94 | | | | % 82.31/15.94 | | | | ALPHA: (120) implies: % 82.31/15.94 | | | | (121) convergent_lines(all_25_2, all_25_0) = all_75_0 % 82.31/15.95 | | | | (122) apart_point_and_line(all_25_4, all_25_2) = all_75_1 % 82.31/15.95 | | | | % 82.31/15.95 | | | | BETA: splitting (71) gives: % 82.31/15.95 | | | | % 82.31/15.95 | | | | Case 1: % 82.31/15.95 | | | | | % 82.31/15.95 | | | | | (123) all_38_0 = 0 % 82.31/15.95 | | | | | % 82.31/15.95 | | | | | REDUCE: (58), (123) imply: % 82.31/15.95 | | | | | (124) $false % 82.31/15.95 | | | | | % 82.31/15.95 | | | | | CLOSE: (124) is inconsistent. % 82.31/15.95 | | | | | % 82.31/15.95 | | | | Case 2: % 82.31/15.95 | | | | | % 82.31/15.95 | | | | | (125) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_25_4, % 82.31/15.95 | | | | | all_25_0) = v0 & convergent_lines(all_25_2, all_25_0) = % 82.31/15.95 | | | | | v1 & (v1 = 0 | v0 = 0)) % 82.31/15.95 | | | | | % 82.31/15.95 | | | | | DELTA: instantiating (125) with fresh symbols all_86_0, all_86_1 % 82.31/15.95 | | | | | gives: % 82.31/15.95 | | | | | (126) apart_point_and_line(all_25_4, all_25_0) = all_86_1 & % 82.31/15.95 | | | | | convergent_lines(all_25_2, all_25_0) = all_86_0 & (all_86_0 = % 82.31/15.95 | | | | | 0 | all_86_1 = 0) % 82.31/15.95 | | | | | % 82.31/15.95 | | | | | ALPHA: (126) implies: % 82.31/15.95 | | | | | (127) convergent_lines(all_25_2, all_25_0) = all_86_0 % 82.31/15.95 | | | | | (128) apart_point_and_line(all_25_4, all_25_0) = all_86_1 % 82.31/15.95 | | | | | (129) all_86_0 = 0 | all_86_1 = 0 % 82.31/15.95 | | | | | % 82.31/15.95 | | | | | BETA: splitting (66) gives: % 82.31/15.95 | | | | | % 82.31/15.95 | | | | | Case 1: % 82.31/15.95 | | | | | | % 82.31/15.95 | | | | | | (130) all_36_0 = 0 % 82.31/15.95 | | | | | | % 82.31/15.95 | | | | | | REDUCE: (55), (130) imply: % 82.31/15.95 | | | | | | (131) $false % 82.31/15.95 | | | | | | % 82.31/15.95 | | | | | | CLOSE: (131) is inconsistent. % 82.31/15.95 | | | | | | % 82.31/15.95 | | | | | Case 2: % 82.31/15.95 | | | | | | % 82.31/15.95 | | | | | | (132) ? [v0: int] : ( ~ (v0 = 0) & convergent_lines(all_25_2, % 82.31/15.95 | | | | | | all_25_2) = v0) % 82.31/15.95 | | | | | | % 82.31/15.95 | | | | | | DELTA: instantiating (132) with fresh symbol all_92_0 gives: % 82.31/15.95 | | | | | | (133) ~ (all_92_0 = 0) & convergent_lines(all_25_2, all_25_2) = % 82.31/15.95 | | | | | | all_92_0 % 82.31/15.95 | | | | | | % 82.31/15.95 | | | | | | ALPHA: (133) implies: % 82.31/15.95 | | | | | | (134) convergent_lines(all_25_2, all_25_2) = all_92_0 % 82.31/15.95 | | | | | | % 82.31/15.95 | | | | | | BETA: splitting (78) gives: % 82.31/15.95 | | | | | | % 82.31/15.95 | | | | | | Case 1: % 82.31/15.95 | | | | | | | % 82.31/15.95 | | | | | | | (135) all_38_0 = 0 % 82.31/15.95 | | | | | | | % 82.31/15.95 | | | | | | | REDUCE: (58), (135) imply: % 82.31/15.95 | | | | | | | (136) $false % 82.31/15.95 | | | | | | | % 82.31/15.95 | | | | | | | CLOSE: (136) is inconsistent. % 82.31/15.95 | | | | | | | % 82.31/15.95 | | | | | | Case 2: % 82.31/15.95 | | | | | | | % 82.31/15.95 | | | | | | | (137) all_32_0 = 0 | ? [v0: any] : ? [v1: any] : % 82.31/15.95 | | | | | | | (convergent_lines(all_25_2, all_25_0) = v1 & % 82.31/15.95 | | | | | | | distinct_lines(all_25_2, all_25_0) = v0 & ( ~ (v0 = 0) % 82.31/15.95 | | | | | | | | v1 = 0)) % 82.31/15.95 | | | | | | | % 82.31/15.95 | | | | | | | BETA: splitting (69) gives: % 82.31/15.95 | | | | | | | % 82.31/15.95 | | | | | | | Case 1: % 82.31/15.95 | | | | | | | | % 82.31/15.95 | | | | | | | | (138) all_38_0 = 0 % 82.31/15.95 | | | | | | | | % 82.31/15.95 | | | | | | | | REDUCE: (58), (138) imply: % 82.31/15.95 | | | | | | | | (139) $false % 82.31/15.95 | | | | | | | | % 82.31/15.95 | | | | | | | | CLOSE: (139) is inconsistent. % 82.31/15.95 | | | | | | | | % 82.31/15.95 | | | | | | | Case 2: % 82.31/15.95 | | | | | | | | % 82.31/15.95 | | | | | | | | (140) ? [v0: any] : ? [v1: any] : % 82.31/15.95 | | | | | | | | (convergent_lines(all_25_2, all_25_2) = v1 & % 82.31/15.95 | | | | | | | | distinct_lines(all_25_2, all_25_2) = v0 & ( ~ (v0 = % 82.31/15.95 | | | | | | | | 0) | v1 = 0)) % 82.31/15.95 | | | | | | | | % 82.31/15.95 | | | | | | | | DELTA: instantiating (140) with fresh symbols all_101_0, % 82.31/15.95 | | | | | | | | all_101_1 gives: % 82.31/15.95 | | | | | | | | (141) convergent_lines(all_25_2, all_25_2) = all_101_0 & % 82.31/15.95 | | | | | | | | distinct_lines(all_25_2, all_25_2) = all_101_1 & ( ~ % 82.31/15.95 | | | | | | | | (all_101_1 = 0) | all_101_0 = 0) % 82.31/15.95 | | | | | | | | % 82.31/15.95 | | | | | | | | ALPHA: (141) implies: % 82.31/15.95 | | | | | | | | (142) convergent_lines(all_25_2, all_25_2) = all_101_0 % 82.31/15.95 | | | | | | | | % 82.31/15.95 | | | | | | | | BETA: splitting (70) gives: % 82.31/15.95 | | | | | | | | % 82.31/15.95 | | | | | | | | Case 1: % 82.31/15.95 | | | | | | | | | % 82.31/15.95 | | | | | | | | | (143) all_38_0 = 0 % 82.31/15.95 | | | | | | | | | % 82.31/15.95 | | | | | | | | | REDUCE: (58), (143) imply: % 82.31/15.95 | | | | | | | | | (144) $false % 82.31/15.95 | | | | | | | | | % 82.31/15.95 | | | | | | | | | CLOSE: (144) is inconsistent. % 82.31/15.95 | | | | | | | | | % 82.31/15.95 | | | | | | | | Case 2: % 82.31/15.95 | | | | | | | | | % 82.31/15.95 | | | | | | | | | (145) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 82.31/15.95 | | | | | | | | | any] : (apart_point_and_line(all_25_4, all_25_2) = % 82.31/15.95 | | | | | | | | | v3 & apart_point_and_line(all_25_4, all_25_2) = v2 % 82.31/15.95 | | | | | | | | | & distinct_lines(all_25_2, all_25_2) = v1 & % 82.31/15.95 | | | | | | | | | distinct_points(all_25_4, all_25_4) = v0 & ( ~ (v1 % 82.31/15.95 | | | | | | | | | = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 82.31/15.95 | | | | | | | | | % 82.31/15.95 | | | | | | | | | DELTA: instantiating (145) with fresh symbols all_106_0, % 82.31/15.95 | | | | | | | | | all_106_1, all_106_2, all_106_3 gives: % 82.31/15.95 | | | | | | | | | (146) apart_point_and_line(all_25_4, all_25_2) = all_106_0 % 82.31/15.95 | | | | | | | | | & apart_point_and_line(all_25_4, all_25_2) = % 82.31/15.95 | | | | | | | | | all_106_1 & distinct_lines(all_25_2, all_25_2) = % 82.31/15.95 | | | | | | | | | all_106_2 & distinct_points(all_25_4, all_25_4) = % 82.31/15.95 | | | | | | | | | all_106_3 & ( ~ (all_106_2 = 0) | ~ (all_106_3 = 0) % 82.31/15.95 | | | | | | | | | | all_106_0 = 0 | all_106_1 = 0) % 82.31/15.95 | | | | | | | | | % 82.31/15.95 | | | | | | | | | ALPHA: (146) implies: % 82.31/15.95 | | | | | | | | | (147) apart_point_and_line(all_25_4, all_25_2) = all_106_1 % 82.31/15.95 | | | | | | | | | (148) apart_point_and_line(all_25_4, all_25_2) = all_106_0 % 82.31/15.95 | | | | | | | | | % 82.31/15.95 | | | | | | | | | BETA: splitting (75) gives: % 82.31/15.95 | | | | | | | | | % 82.31/15.95 | | | | | | | | | Case 1: % 82.31/15.95 | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | (149) all_32_0 = 0 % 82.31/15.95 | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | REDUCE: (49), (149) imply: % 82.31/15.95 | | | | | | | | | | (150) $false % 82.31/15.95 | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | CLOSE: (150) is inconsistent. % 82.31/15.95 | | | | | | | | | | % 82.31/15.95 | | | | | | | | | Case 2: % 82.31/15.95 | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | (151) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.31/15.95 | | | | | | | | | | [v3: any] : (apart_point_and_line(all_25_4, % 82.31/15.95 | | | | | | | | | | all_25_0) = v3 & apart_point_and_line(all_25_4, % 82.31/15.95 | | | | | | | | | | all_25_0) = v2 & distinct_lines(all_25_0, % 82.31/15.95 | | | | | | | | | | all_25_0) = v1 & distinct_points(all_25_4, % 82.31/15.95 | | | | | | | | | | all_25_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | % 82.31/15.95 | | | | | | | | | | v3 = 0 | v2 = 0)) % 82.31/15.95 | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | DELTA: instantiating (151) with fresh symbols all_111_0, % 82.31/15.95 | | | | | | | | | | all_111_1, all_111_2, all_111_3 gives: % 82.31/15.95 | | | | | | | | | | (152) apart_point_and_line(all_25_4, all_25_0) = % 82.31/15.95 | | | | | | | | | | all_111_0 & apart_point_and_line(all_25_4, % 82.31/15.95 | | | | | | | | | | all_25_0) = all_111_1 & distinct_lines(all_25_0, % 82.31/15.95 | | | | | | | | | | all_25_0) = all_111_2 & distinct_points(all_25_4, % 82.31/15.95 | | | | | | | | | | all_25_4) = all_111_3 & ( ~ (all_111_2 = 0) | ~ % 82.31/15.95 | | | | | | | | | | (all_111_3 = 0) | all_111_0 = 0 | all_111_1 = 0) % 82.31/15.95 | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | ALPHA: (152) implies: % 82.31/15.95 | | | | | | | | | | (153) apart_point_and_line(all_25_4, all_25_0) = % 82.31/15.95 | | | | | | | | | | all_111_1 % 82.31/15.95 | | | | | | | | | | (154) apart_point_and_line(all_25_4, all_25_0) = % 82.31/15.95 | | | | | | | | | | all_111_0 % 82.31/15.95 | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | BETA: splitting (73) gives: % 82.31/15.95 | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | Case 1: % 82.31/15.95 | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | (155) all_38_0 = 0 % 82.31/15.95 | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | REDUCE: (58), (155) imply: % 82.31/15.95 | | | | | | | | | | | (156) $false % 82.31/15.95 | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | CLOSE: (156) is inconsistent. % 82.31/15.95 | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | Case 2: % 82.31/15.95 | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | (157) all_34_0 = 0 | ? [v0: any] : ? [v1: any] : % 82.31/15.95 | | | | | | | | | | | (convergent_lines(all_25_2, all_25_1) = v1 & % 82.31/15.95 | | | | | | | | | | | distinct_lines(all_25_2, all_25_1) = v0 & ( ~ % 82.31/15.95 | | | | | | | | | | | (v0 = 0) | v1 = 0)) % 82.31/15.95 | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | BETA: splitting (85) gives: % 82.31/15.95 | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | Case 1: % 82.31/15.95 | | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | | (158) all_40_0 = 0 % 82.31/15.95 | | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | | REDUCE: (61), (158) imply: % 82.31/15.95 | | | | | | | | | | | | (159) $false % 82.31/15.95 | | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | | CLOSE: (159) is inconsistent. % 82.31/15.95 | | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | Case 2: % 82.31/15.95 | | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | | (160) all_38_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 82.31/15.95 | | | | | | | | | | | | [v2: any] : (unorthogonal_lines(all_25_2, % 82.31/15.95 | | | | | | | | | | | | all_25_3) = v2 & % 82.31/15.95 | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_1) = v1 & % 82.31/15.95 | | | | | | | | | | | | distinct_lines(all_25_1, all_25_2) = v0 & ( ~ % 82.31/15.95 | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 82.31/15.95 | | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | | BETA: splitting (84) gives: % 82.31/15.95 | | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | | Case 1: % 82.31/15.95 | | | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | | | (161) all_40_0 = 0 % 82.31/15.95 | | | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | | | REDUCE: (61), (161) imply: % 82.31/15.95 | | | | | | | | | | | | | (162) $false % 82.31/15.95 | | | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | | | CLOSE: (162) is inconsistent. % 82.31/15.95 | | | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | | Case 2: % 82.31/15.95 | | | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | | | (163) all_38_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 82.31/15.95 | | | | | | | | | | | | | [v2: any] : (unorthogonal_lines(all_25_2, % 82.31/15.95 | | | | | | | | | | | | | all_25_3) = v2 & % 82.31/15.95 | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_1) = v1 & % 82.31/15.95 | | | | | | | | | | | | | distinct_lines(all_25_2, all_25_1) = v0 & ( ~ % 82.31/15.95 | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 82.31/15.95 | | | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | | | BETA: splitting (74) gives: % 82.31/15.95 | | | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | | | Case 1: % 82.31/15.95 | | | | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | | | | (164) all_38_0 = 0 % 82.31/15.95 | | | | | | | | | | | | | | % 82.31/15.95 | | | | | | | | | | | | | | REDUCE: (58), (164) imply: % 82.31/15.96 | | | | | | | | | | | | | | (165) $false % 82.31/15.96 | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | CLOSE: (165) is inconsistent. % 82.31/15.96 | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | Case 2: % 82.31/15.96 | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | (166) all_34_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 82.31/15.96 | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 82.31/15.96 | | | | | | | | | | | | | | (apart_point_and_line(all_25_4, all_25_1) = v3 & % 82.31/15.96 | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_2) = v2 & % 82.31/15.96 | | | | | | | | | | | | | | distinct_lines(all_25_1, all_25_2) = v1 & % 82.31/15.96 | | | | | | | | | | | | | | distinct_points(all_25_4, all_25_4) = v0 & ( ~ % 82.31/15.96 | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 82.31/15.96 | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | BETA: splitting (83) gives: % 82.31/15.96 | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | Case 1: % 82.31/15.96 | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | (167) all_40_0 = 0 % 82.31/15.96 | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | REDUCE: (61), (167) imply: % 82.31/15.96 | | | | | | | | | | | | | | | (168) $false % 82.31/15.96 | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | CLOSE: (168) is inconsistent. % 82.31/15.96 | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | Case 2: % 82.31/15.96 | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | (169) all_32_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 82.31/15.96 | | | | | | | | | | | | | | | [v2: any] : (unorthogonal_lines(all_25_0, % 82.31/15.96 | | | | | | | | | | | | | | | all_25_3) = v2 & % 82.31/15.96 | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_1) = v1 & % 82.31/15.96 | | | | | | | | | | | | | | | distinct_lines(all_25_1, all_25_0) = v0 & ( ~ % 82.31/15.96 | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 82.31/15.96 | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | BETA: splitting (82) gives: % 82.31/15.96 | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | Case 1: % 82.31/15.96 | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | (170) all_40_0 = 0 % 82.31/15.96 | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | REDUCE: (61), (170) imply: % 82.31/15.96 | | | | | | | | | | | | | | | | (171) $false % 82.31/15.96 | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | CLOSE: (171) is inconsistent. % 82.31/15.96 | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | Case 2: % 82.31/15.96 | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | (172) all_32_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 82.31/15.96 | | | | | | | | | | | | | | | | [v2: any] : (unorthogonal_lines(all_25_0, % 82.31/15.96 | | | | | | | | | | | | | | | | all_25_3) = v2 & % 82.31/15.96 | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_1) = v1 & % 82.31/15.96 | | | | | | | | | | | | | | | | distinct_lines(all_25_0, all_25_1) = v0 & ( ~ % 82.31/15.96 | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 82.31/15.96 | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | BETA: splitting (77) gives: % 82.31/15.96 | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | Case 1: % 82.31/15.96 | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | (173) all_34_0 = 0 % 82.31/15.96 | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | REDUCE: (52), (173) imply: % 82.31/15.96 | | | | | | | | | | | | | | | | | (174) $false % 82.31/15.96 | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | CLOSE: (174) is inconsistent. % 82.31/15.96 | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | Case 2: % 82.31/15.96 | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | (175) all_32_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 82.31/15.96 | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 82.31/15.96 | | | | | | | | | | | | | | | | | (apart_point_and_line(all_25_4, all_25_0) = v2 & % 82.31/15.96 | | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_1) = v3 & % 82.31/15.96 | | | | | | | | | | | | | | | | | distinct_lines(all_25_0, all_25_1) = v1 & % 82.31/15.96 | | | | | | | | | | | | | | | | | distinct_points(all_25_4, all_25_4) = v0 & ( ~ % 82.31/15.96 | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 82.31/15.96 | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | BETA: splitting (93) gives: % 82.31/15.96 | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | Case 1: % 82.31/15.96 | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | (176) all_42_0 = 0 % 82.31/15.96 | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | REDUCE: (64), (176) imply: % 82.31/15.96 | | | | | | | | | | | | | | | | | | (177) $false % 82.31/15.96 | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | CLOSE: (177) is inconsistent. % 82.31/15.96 | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | Case 2: % 82.31/15.96 | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | (178) all_38_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 82.31/15.96 | | | | | | | | | | | | | | | | | | [v2: any] : (unorthogonal_lines(all_25_2, % 82.31/15.96 | | | | | | | | | | | | | | | | | | all_25_1) = v2 & % 82.31/15.96 | | | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_0) = v1 & % 82.31/15.96 | | | | | | | | | | | | | | | | | | distinct_lines(all_25_0, all_25_2) = v0 & ( ~ % 82.31/15.96 | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 82.31/15.96 | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives: % 82.31/15.96 | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | Case 1: % 82.31/15.96 | | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | | (179) all_42_0 = 0 % 82.31/15.96 | | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | | REDUCE: (64), (179) imply: % 82.31/15.96 | | | | | | | | | | | | | | | | | | | (180) $false % 82.31/15.96 | | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | | CLOSE: (180) is inconsistent. % 82.31/15.96 | | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | Case 2: % 82.31/15.96 | | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | | (181) all_34_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 82.31/15.96 | | | | | | | | | | | | | | | | | | | [v2: any] : (unorthogonal_lines(all_25_1, % 82.31/15.96 | | | | | | | | | | | | | | | | | | | all_25_1) = v2 & % 82.31/15.96 | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_0) = v1 & % 82.31/15.96 | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_0, all_25_1) = v0 & ( ~ % 82.31/15.96 | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 82.31/15.96 | | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives: % 82.31/15.96 | | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | | Case 1: % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | (182) all_34_0 = 0 % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (182) imply: % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | (183) $false % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | CLOSE: (183) is inconsistent. % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | | Case 2: % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | (184) all_32_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_25_4, all_25_0) = v2 & % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_1) = v3 & % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_1, all_25_0) = v1 & % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | distinct_points(all_25_4, all_25_4) = v0 & ( ~ % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (137) gives: % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | Case 1: % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | | (185) all_32_0 = 0 % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (185) imply: % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | | (186) $false % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | | CLOSE: (186) is inconsistent. % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | | % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | Case 2: % 82.31/15.96 | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | (187) ? [v0: any] : ? [v1: any] : % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | (convergent_lines(all_25_2, all_25_0) = v1 & % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_2, all_25_0) = v0 & ( ~ % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v1 = 0)) % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (187) with fresh symbols all_174_0, % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | all_174_1 gives: % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | (188) convergent_lines(all_25_2, all_25_0) = all_174_0 & % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_2, all_25_0) = all_174_1 & ( % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | ~ (all_174_1 = 0) | all_174_0 = 0) % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | ALPHA: (188) implies: % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | (189) convergent_lines(all_25_2, all_25_0) = all_174_0 % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (72) gives: % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | (190) all_38_0 = 0 % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (190) imply: % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | (191) $false % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (191) is inconsistent. % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | (192) all_36_0 = 0 | ? [v0: any] : ? [v1: any] : % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_25_4, all_25_3) = v1 & % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_2, all_25_3) = v0 & ( ~ % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v1 = 0)) % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (80) gives: % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | (193) all_38_0 = 0 % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (193) imply: % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | (194) $false % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (194) is inconsistent. % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | (195) all_32_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_25_4, all_25_0) = v2 & % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_2) = v3 & % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_0, all_25_2) = v1 & % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_25_4, all_25_4) = v0 & ( ~ % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives: % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | (196) all_38_0 = 0 % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (196) imply: % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | (197) $false % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (197) is inconsistent. % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | (198) all_32_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_25_4, all_25_0) = v3 & % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_2) = v2 & % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_0, all_25_2) = v1 & % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_25_4, all_25_4) = v0 & ( ~ % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives: % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | | (199) all_38_0 = 0 % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (199) imply: % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | | (200) $false % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (200) is inconsistent. % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.40/15.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | (201) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | (unorthogonal_lines(all_25_2, all_25_3) = v2 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_1) = v1 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_1, all_25_2) = v0 & ( ~ % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (201) with fresh symbols all_194_0, % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | all_194_1, all_194_2 gives: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | (202) unorthogonal_lines(all_25_2, all_25_3) = all_194_0 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | & apart_point_and_line(all_25_4, all_25_1) = % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | all_194_1 & distinct_lines(all_25_1, all_25_2) = % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | all_194_2 & ( ~ (all_194_2 = 0) | all_194_0 = 0 | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | all_194_1 = 0) % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (202) implies: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | (203) unorthogonal_lines(all_25_2, all_25_3) = all_194_0 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (204) all_38_0 = 0 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (204) imply: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (205) $false % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (205) is inconsistent. % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (206) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (unorthogonal_lines(all_25_2, all_25_3) = v2 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_1) = v1 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_2, all_25_1) = v0 & ( ~ % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (206) with fresh symbols all_199_0, % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | all_199_1, all_199_2 gives: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (207) unorthogonal_lines(all_25_2, all_25_3) = all_199_0 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | & apart_point_and_line(all_25_4, all_25_1) = % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | all_199_1 & distinct_lines(all_25_2, all_25_1) = % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | all_199_2 & ( ~ (all_199_2 = 0) | all_199_0 = 0 | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | all_199_1 = 0) % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (207) implies: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (208) distinct_lines(all_25_2, all_25_1) = all_199_2 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (209) unorthogonal_lines(all_25_2, all_25_3) = all_199_0 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (210) all_34_0 = 0 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (210) imply: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (211) $false % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (211) is inconsistent. % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (212) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_25_4, % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1) = v3 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_2) = v2 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_1, all_25_2) = v1 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_25_4, all_25_4) = v0 & ( ~ % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (212) with fresh symbols all_204_0, % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_204_1, all_204_2, all_204_3 gives: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (213) apart_point_and_line(all_25_4, all_25_1) = % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_204_0 & apart_point_and_line(all_25_4, % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = all_204_1 & distinct_lines(all_25_1, % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = all_204_2 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_25_4, all_25_4) = all_204_3 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_204_2 = 0) | ~ (all_204_3 = 0) | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_204_0 = 0 | all_204_1 = 0) % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (213) implies: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (214) apart_point_and_line(all_25_4, all_25_2) = % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_204_1 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215) all_32_0 = 0 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (215) imply: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216) $false % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (216) is inconsistent. % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_25_4, % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0) = v2 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_1) = v3 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_0, all_25_1) = v1 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_25_4, all_25_4) = v0 & ( ~ % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (217) with fresh symbols all_209_0, % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_209_1, all_209_2, all_209_3 gives: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218) apart_point_and_line(all_25_4, all_25_0) = % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_209_1 & apart_point_and_line(all_25_4, % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1) = all_209_0 & distinct_lines(all_25_0, % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1) = all_209_2 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_25_4, all_25_4) = all_209_3 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_209_2 = 0) | ~ (all_209_3 = 0) | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_209_0 = 0 | all_209_1 = 0) % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (218) implies: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219) distinct_lines(all_25_0, all_25_1) = all_209_2 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220) apart_point_and_line(all_25_4, all_25_0) = % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_209_1 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221) all_34_0 = 0 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (221) imply: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222) $false % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (222) is inconsistent. % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unorthogonal_lines(all_25_1, all_25_1) = v2 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_0) = v1 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_0, all_25_1) = v0 & ( ~ % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (223) with fresh symbols all_214_0, % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_214_1, all_214_2 gives: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224) unorthogonal_lines(all_25_1, all_25_1) = all_214_0 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & apart_point_and_line(all_25_4, all_25_0) = % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_214_1 & distinct_lines(all_25_0, all_25_1) = % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_214_2 & ( ~ (all_214_2 = 0) | all_214_0 = 0 | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_214_1 = 0) % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (224) implies: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225) distinct_lines(all_25_0, all_25_1) = all_214_2 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226) apart_point_and_line(all_25_4, all_25_0) = % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_214_1 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227) unorthogonal_lines(all_25_1, all_25_1) = all_214_0 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228) ~ (all_214_2 = 0) | all_214_0 = 0 | all_214_1 = 0 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229) all_32_0 = 0 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (229) imply: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230) $false % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (230) is inconsistent. % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_25_4, % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0) = v2 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_1) = v3 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_1, all_25_0) = v1 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_25_4, all_25_4) = v0 & ( ~ % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (231) with fresh symbols all_219_0, % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_219_1, all_219_2, all_219_3 gives: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232) apart_point_and_line(all_25_4, all_25_0) = % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_219_1 & apart_point_and_line(all_25_4, % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1) = all_219_0 & distinct_lines(all_25_1, % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0) = all_219_2 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_25_4, all_25_4) = all_219_3 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_219_2 = 0) | ~ (all_219_3 = 0) | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_219_0 = 0 | all_219_1 = 0) % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (232) implies: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233) apart_point_and_line(all_25_4, all_25_0) = % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_219_1 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234) all_32_0 = 0 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (234) imply: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235) $false % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (235) is inconsistent. % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unorthogonal_lines(all_25_0, all_25_3) = v2 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_1) = v1 & % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_1, all_25_0) = v0 & ( ~ % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (236) with fresh symbols all_225_0, % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_225_1, all_225_2 gives: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237) unorthogonal_lines(all_25_0, all_25_3) = all_225_0 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & apart_point_and_line(all_25_4, all_25_1) = % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_225_1 & distinct_lines(all_25_1, all_25_0) = % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_225_2 & ( ~ (all_225_2 = 0) | all_225_0 = 0 | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_225_1 = 0) % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (237) implies: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238) unorthogonal_lines(all_25_0, all_25_3) = all_225_0 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (172) gives: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239) all_32_0 = 0 % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (239) imply: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240) $false % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (240) is inconsistent. % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.40/15.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unorthogonal_lines(all_25_0, all_25_3) = v2 & % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_1) = v1 & % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_0, all_25_1) = v0 & ( ~ % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (241) with fresh symbols all_230_0, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_230_1, all_230_2 gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242) unorthogonal_lines(all_25_0, all_25_3) = all_230_0 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & apart_point_and_line(all_25_4, all_25_1) = % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_230_1 & distinct_lines(all_25_0, all_25_1) = % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_230_2 & ( ~ (all_230_2 = 0) | all_230_0 = 0 | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_230_1 = 0) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (242) implies: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243) distinct_lines(all_25_0, all_25_1) = all_230_2 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244) unorthogonal_lines(all_25_0, all_25_3) = all_230_0 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245) all_38_0 = 0 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (245) imply: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246) $false % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (246) is inconsistent. % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unorthogonal_lines(all_25_2, all_25_1) = v2 & % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_0) = v1 & % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_0, all_25_2) = v0 & ( ~ % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (247) with fresh symbols all_240_0, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_240_1, all_240_2 gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (248) unorthogonal_lines(all_25_2, all_25_1) = all_240_0 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & apart_point_and_line(all_25_4, all_25_0) = % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_240_1 & distinct_lines(all_25_0, all_25_2) = % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_240_2 & ( ~ (all_240_2 = 0) | all_240_0 = 0 | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_240_1 = 0) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (248) implies: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (249) apart_point_and_line(all_25_4, all_25_0) = % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_240_1 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250) unorthogonal_lines(all_25_2, all_25_1) = all_240_0 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251) all_36_0 = 0 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (251) imply: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (252) $false % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (252) is inconsistent. % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (253) ? [v0: any] : ? [v1: any] : % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_25_4, all_25_3) = v1 & % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_2, all_25_3) = v0 & ( ~ % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v1 = 0)) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (253) with fresh symbols all_245_0, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_245_1 gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (254) apart_point_and_line(all_25_4, all_25_3) = % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_245_0 & distinct_lines(all_25_2, all_25_3) = % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_245_1 & ( ~ (all_245_1 = 0) | all_245_0 = 0) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (254) implies: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (255) distinct_lines(all_25_2, all_25_3) = all_245_1 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (256) ~ (all_245_1 = 0) | all_245_0 = 0 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257) all_32_0 = 0 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (257) imply: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258) $false % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (258) is inconsistent. % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_25_4, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0) = v2 & % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_2) = v3 & % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_0, all_25_2) = v1 & % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_25_4, all_25_4) = v0 & ( ~ % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (259) with fresh symbols all_255_0, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_255_1, all_255_2, all_255_3 gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (260) apart_point_and_line(all_25_4, all_25_0) = % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_255_1 & apart_point_and_line(all_25_4, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = all_255_0 & distinct_lines(all_25_0, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = all_255_2 & % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_25_4, all_25_4) = all_255_3 & % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_255_2 = 0) | ~ (all_255_3 = 0) | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_255_0 = 0 | all_255_1 = 0) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (260) implies: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (261) apart_point_and_line(all_25_4, all_25_2) = % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_255_0 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (262) apart_point_and_line(all_25_4, all_25_0) = % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_255_1 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (263) all_32_0 = 0 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (263) imply: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (264) $false % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (264) is inconsistent. % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (265) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_25_4, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0) = v3 & % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_2) = v2 & % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_0, all_25_2) = v1 & % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_25_4, all_25_4) = v0 & ( ~ % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (265) with fresh symbols all_260_0, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_260_1, all_260_2, all_260_3 gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (266) apart_point_and_line(all_25_4, all_25_0) = % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_260_0 & apart_point_and_line(all_25_4, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = all_260_1 & distinct_lines(all_25_0, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = all_260_2 & % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_25_4, all_25_4) = all_260_3 & % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_260_2 = 0) | ~ (all_260_3 = 0) | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_260_0 = 0 | all_260_1 = 0) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (266) implies: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (267) apart_point_and_line(all_25_4, all_25_2) = % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_260_1 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (268) apart_point_and_line(all_25_4, all_25_0) = % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_260_0 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_214_2, all_230_2, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1, all_25_0, simplifying with (225), (243) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269) all_230_2 = all_214_2 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_209_2, all_230_2, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1, all_25_0, simplifying with (219), (243) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270) all_230_2 = all_209_2 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_92_0, all_101_0, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_2, simplifying with (134), (142) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271) all_101_0 = all_92_0 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_51_3, all_101_0, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_2, simplifying with (95), (142) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272) all_101_0 = all_51_3 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_86_0, all_174_0, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0, all_25_2, simplifying with (127), (189) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (273) all_174_0 = all_86_0 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_75_0, all_174_0, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0, all_25_2, simplifying with (121), (189) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (274) all_174_0 = all_75_0 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_53_1, all_55_1, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_1, simplifying with (99), (104) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275) all_55_1 = all_53_1 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_55_0, all_57_0, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_1, simplifying with (105), (111) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (276) all_57_0 = all_55_0 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_55_1, all_57_0, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_1, simplifying with (104), (111) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (277) all_57_0 = all_55_1 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with 0, all_57_0, all_25_3, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1, simplifying with (111), (116) gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (278) all_57_0 = 0 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_38_0, all_204_1, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_4, simplifying with (59), (214) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (279) all_204_1 = all_38_0 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_106_0, all_204_1, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_4, simplifying with (148), (214) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (280) all_204_1 = all_106_0 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_204_1, all_255_0, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_4, simplifying with (214), (261) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (281) all_255_0 = all_204_1 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_75_1, all_255_0, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_4, simplifying with (122), (261) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (282) all_255_0 = all_75_1 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_255_0, all_260_1, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_4, simplifying with (261), (267) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (283) all_260_1 = all_255_0 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_106_1, all_260_1, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_4, simplifying with (147), (267) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (284) all_260_1 = all_106_1 % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_86_1, all_111_0, % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0, all_25_4, simplifying with (128), (154) % 82.40/15.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (285) all_111_0 = all_86_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_32_0, all_209_1, % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0, all_25_4, simplifying with (50), (220) % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (286) all_209_1 = all_32_0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_111_0, all_209_1, % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0, all_25_4, simplifying with (154), (220) % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (287) all_209_1 = all_111_0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_214_1, all_240_1, % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0, all_25_4, simplifying with (226), (249) % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (288) all_240_1 = all_214_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_240_1, all_255_1, % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0, all_25_4, simplifying with (249), (262) % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (289) all_255_1 = all_240_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_219_1, all_255_1, % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0, all_25_4, simplifying with (233), (262) % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (290) all_255_1 = all_219_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_209_1, all_255_1, % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0, all_25_4, simplifying with (220), (262) % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (291) all_255_1 = all_209_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_255_1, all_260_0, % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0, all_25_4, simplifying with (262), (268) % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (292) all_260_0 = all_255_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_111_1, all_260_0, % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0, all_25_4, simplifying with (153), (268) % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (293) all_260_0 = all_111_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_51_0, all_53_0, % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_2, simplifying with (97), (101) % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (294) all_53_0 = all_51_0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_51_1, all_53_0, % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_2, simplifying with (96), (101) % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (295) all_53_0 = all_51_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_57_1, all_194_0, % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_2, simplifying with (112), (203) % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (296) all_194_0 = all_57_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_53_0, all_194_0, % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_2, simplifying with (101), (203) % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (297) all_194_0 = all_53_0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_194_0, all_199_0, % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_2, simplifying with (203), (209) % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (298) all_199_0 = all_194_0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with 0, all_199_0, all_25_3, % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, simplifying with (115), (209) gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (299) all_199_0 = 0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_57_2, all_240_0, % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1, all_25_2, simplifying with (113), (250) % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (300) all_240_0 = all_57_2 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_55_2, all_214_0, % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1, all_25_1, simplifying with (107), (227) % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (301) all_214_0 = all_55_2 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_225_0, all_230_0, % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_25_0, simplifying with (238), (244) % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (302) all_230_0 = all_225_0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (293) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (303) all_255_1 = all_111_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (303) implies: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (304) all_255_1 = all_111_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (284) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (305) all_255_0 = all_106_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (305) implies: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (306) all_255_0 = all_106_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (306) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (307) all_204_1 = all_106_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (307) implies: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (308) all_204_1 = all_106_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (306) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (309) all_106_1 = all_75_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (291) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (310) all_219_1 = all_209_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (304) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (311) all_219_1 = all_111_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (289), (290) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (312) all_240_1 = all_219_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (312) implies: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (313) all_240_1 = all_219_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (288), (313) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (314) all_219_1 = all_214_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (314) implies: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (315) all_219_1 = all_214_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (270) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (316) all_214_2 = all_209_2 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (316) implies: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (317) all_214_2 = all_209_2 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (315) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (318) all_214_1 = all_111_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (315) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (319) all_214_1 = all_209_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (319) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (320) all_209_1 = all_111_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (320) implies: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (321) all_209_1 = all_111_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (321) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (322) all_111_0 = all_111_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (322) implies: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (323) all_111_0 = all_111_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (321) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (324) all_111_1 = all_32_0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (280) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (325) all_106_0 = all_38_0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (308) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (326) all_106_0 = all_106_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (299) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (327) all_194_0 = 0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (327) implies: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (328) all_194_0 = 0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (296), (297) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (329) all_57_1 = all_53_0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (296), (328) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (330) all_57_1 = 0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (274) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (331) all_86_0 = all_75_0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (323) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (332) all_111_1 = all_86_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (332) implies: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (333) all_111_1 = all_86_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (324), (333) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (334) all_86_1 = all_32_0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (325), (326) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (335) all_106_1 = all_38_0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (335) implies: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (336) all_106_1 = all_38_0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (336) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (337) all_75_1 = all_38_0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (337) implies: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (338) all_75_1 = all_38_0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (272) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (339) all_92_0 = all_51_3 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (339) implies: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (340) all_92_0 = all_51_3 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (278) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (341) all_55_0 = 0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (277) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (342) all_55_0 = all_55_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (330) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (343) all_53_0 = 0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (343) implies: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (344) all_53_0 = 0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (342) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (345) all_55_1 = 0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (345) implies: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (346) all_55_1 = 0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (346) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (347) all_53_1 = 0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (347) implies: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (348) all_53_1 = 0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (295) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (349) all_51_0 = all_51_1 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (344) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350) all_51_0 = 0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (350) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (351) all_51_1 = 0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (351) implies: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (352) all_51_1 = 0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (324) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (353) all_214_1 = all_32_0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (129) gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (354) all_86_0 = 0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (331), (354) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (355) all_75_0 = 0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (355) implies: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (356) all_75_0 = 0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (356) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (357) convergent_lines(all_25_2, all_25_0) = 0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (92) gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (358) all_42_0 = 0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (358) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (359) $false % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (359) is inconsistent. % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (360) all_38_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v2: any] : (unorthogonal_lines(all_25_2, % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1) = v2 & % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_0) = v1 & % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_2, all_25_0) = v0 & ( ~ % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (90) gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (361) all_42_0 = 0 % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (361) imply: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (362) $false % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (362) is inconsistent. % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363) all_32_0 = 0 | ? [v0: any] : ? [v1: any] : % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unorthogonal_lines(all_25_2, all_25_1) = v1 & % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_2) = v0 & % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0 | v0 = 0)) % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/15.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (364) all_38_0 = 0 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (364) imply: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (365) $false % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (365) is inconsistent. % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (366) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unorthogonal_lines(all_25_2, all_25_1) = v2 & % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_0) = v1 & % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_2, all_25_0) = v0 & ( ~ % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (366) with fresh symbols all_334_0, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_334_1, all_334_2 gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (367) unorthogonal_lines(all_25_2, all_25_1) = all_334_0 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & apart_point_and_line(all_25_4, all_25_0) = % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_334_1 & distinct_lines(all_25_2, all_25_0) = % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_334_2 & ( ~ (all_334_2 = 0) | all_334_0 = 0 | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_334_1 = 0) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (367) implies: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (368) unorthogonal_lines(all_25_2, all_25_1) = all_334_0 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (369) all_32_0 = 0 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (369) imply: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370) $false % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (370) is inconsistent. % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (371) ? [v0: any] : ? [v1: any] : % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unorthogonal_lines(all_25_2, all_25_1) = v1 & % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_25_4, all_25_2) = v0 & % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0 | v0 = 0)) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (371) with fresh symbols all_340_0, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_340_1 gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (372) unorthogonal_lines(all_25_2, all_25_1) = all_340_0 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & apart_point_and_line(all_25_4, all_25_2) = % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_340_1 & (all_340_0 = 0 | all_340_1 = 0) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (372) implies: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373) apart_point_and_line(all_25_4, all_25_2) = % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_340_1 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374) unorthogonal_lines(all_25_2, all_25_1) = all_340_0 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (375) all_340_0 = 0 | all_340_1 = 0 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (30) with all_38_0, all_340_1, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_25_4, simplifying with (59), (373) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376) all_340_1 = all_38_0 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_57_2, all_340_0, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1, all_25_2, simplifying with (113), (374) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (377) all_340_0 = all_57_2 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_334_0, all_340_0, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1, all_25_2, simplifying with (368), (374) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (378) all_340_0 = all_334_0 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (378) imply: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (379) all_334_0 = all_57_2 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (380) all_340_0 = 0 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (380) imply: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (381) all_57_2 = 0 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (381) imply: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (382) unorthogonal_lines(all_25_2, all_25_1) = 0 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (114) gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (383) ~ (all_57_2 = 0) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (381), (383) imply: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384) $false % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (384) is inconsistent. % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (385) ~ (all_57_3 = 0) | (all_57_0 = 0 & all_40_0 = 0) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_1 = 0 & all_36_0 = 0) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386) ~ (all_57_3 = 0) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387) all_34_0 = 0 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (387) imply: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (388) $false % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (388) is inconsistent. % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389) ? [v0: any] : ? [v1: any] : % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (convergent_lines(all_25_2, all_25_1) = v1 & % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_2, all_25_1) = v0 & ( ~ % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v1 = 0)) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (389) with fresh symbols all_366_0, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_366_1 gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (390) convergent_lines(all_25_2, all_25_1) = all_366_0 & % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_2, all_25_1) = all_366_1 & ( % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_366_1 = 0) | all_366_0 = 0) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (390) implies: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391) distinct_lines(all_25_2, all_25_1) = all_366_1 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (392) convergent_lines(all_25_2, all_25_1) = all_366_0 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (393) ~ (all_366_1 = 0) | all_366_0 = 0 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_199_2, all_366_1, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1, all_25_2, simplifying with (208), (391) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (394) all_366_1 = all_199_2 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_57_3, all_366_0, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1, all_25_2, simplifying with (110), (392) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (395) all_366_0 = all_57_3 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (396) ~ (all_366_1 = 0) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (396) imply: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (397) ~ (all_199_2 = 0) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1) with all_25_0, all_25_2, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1, all_209_2, all_199_2, simplifying with % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (35), (36), (37), (208), (219) gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (398) all_209_2 = 0 | all_199_2 = 0 | ? [v0: int] : ( ~ % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) & distinct_lines(all_25_0, all_25_2) = % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v0) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_25_2, all_25_0, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1, all_57_3, simplifying with (35), (36), % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (37), (110), (357) gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (399) all_57_3 = 0 | distinct_lines(all_25_0, all_25_1) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (2) with all_25_1, all_25_3, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_53_3, simplifying with (34), (35), % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (36), (100), (116) gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (400) all_53_3 = 0 | convergent_lines(all_25_3, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = 0 % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (16) with all_25_1, all_25_3, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_53_3, simplifying with (34), (35), % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (36), (100), (116) gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (401) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_1, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v1 & unorthogonal_lines(all_25_1, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v0 & unorthogonal_lines(all_25_3, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v3 & convergent_lines(all_25_3, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v2 & ( ~ (v0 = 0) | (v3 = 0 & v2 = % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | (v1 = 0 & all_53_3 = 0))) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (4) with all_25_1, all_25_2, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1, all_55_3, all_57_3, simplifying with % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (35), (36), (106), (110) gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (402) all_57_3 = 0 | all_55_3 = 0 | ? [v0: int] : ( ~ % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) & convergent_lines(all_25_1, all_25_2) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v0) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_25_1, all_25_2, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1, all_199_2, all_55_3, simplifying with % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (35), (36), (106), (208) gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (403) all_199_2 = 0 | all_55_3 = 0 | ? [v0: int] : ( ~ % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) & convergent_lines(all_25_1, all_25_2) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = v0) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_25_1, all_25_2, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_40_0, 0, simplifying with (34), % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (35), (36), (62), (115) gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (404) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_1, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v1 & convergent_lines(all_25_1, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v0 & convergent_lines(all_25_1, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v2 & convergent_lines(all_25_2, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v3 = 0 | (v2 = 0 & all_40_0 = 0))) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_25_2, all_25_2, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, 0, 0, simplifying with (34), (35), (115) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (405) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v1 & convergent_lines(all_25_2, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v0 & convergent_lines(all_25_2, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v3 & convergent_lines(all_25_2, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v3 = 0 | v2 = 0)) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_25_2, all_25_3, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, 0, simplifying with (34), (35), (115) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (406) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_3, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v3 & convergent_lines(all_25_2, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v1 & convergent_lines(all_25_2, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v0 & convergent_lines(all_25_3, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v2 & ( ~ (v0 = 0) | v1 = 0 | (v3 = % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 & v2 = 0))) % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_25_2, all_25_2, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_36_0, 0, simplifying with (34), % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (35), (56), (115) gives: % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2, % 82.40/16.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v1 & unorthogonal_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v2 & convergent_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v0 & convergent_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v3 = 0 | (v2 = 0 & all_36_0 = 0))) % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_25_2, all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, 0, all_36_0, simplifying with (34), % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (35), (56), (115) gives: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v1 & unorthogonal_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v3 & convergent_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v0 & convergent_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v2 = 0 | (v3 = 0 & all_36_0 = 0))) % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_25_1, all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, 0, 0, simplifying with (34), (35), (36), % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (115), (116) gives: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (409) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_1, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v1 & unorthogonal_lines(all_25_1, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v2 & convergent_lines(all_25_1, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v0 & convergent_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v3 = 0 | v2 = 0)) % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_25_2, all_25_0, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, 0, simplifying with (34), (35), (37), % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (115), (357) gives: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (410) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_0, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v3 & unorthogonal_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0) = v0 & convergent_lines(all_25_0, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v2 & convergent_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v1 & ( ~ (v0 = 0) | v1 = 0 | (v3 = % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 & v2 = 0))) % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_25_2, all_25_3, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_36_0, simplifying with (34), (35), % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (56), (115) gives: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (411) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v1 & unorthogonal_lines(all_25_3, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v3 & convergent_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v0 & convergent_lines(all_25_3, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v2 & ( ~ (v0 = 0) | (v3 = 0 & v2 = % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | (v1 = 0 & all_36_0 = 0))) % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_25_2, all_25_3, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0, 0, simplifying with (34), (35), (37), % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (115), (357) gives: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (412) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0) = v1 & unorthogonal_lines(all_25_3, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0) = v3 & convergent_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v0 & convergent_lines(all_25_3, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0) = v2 & ( ~ (v0 = 0) | v1 = 0 | (v3 = % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 & v2 = 0))) % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_25_2, all_25_3, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1, all_57_3, simplifying with (34), (35), % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (36), (110), (115) gives: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (413) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1) = v1 & unorthogonal_lines(all_25_3, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1) = v3 & convergent_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v0 & convergent_lines(all_25_3, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1) = v2 & ( ~ (v0 = 0) | (v3 = 0 & v2 = % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | (v1 = 0 & all_57_3 = 0))) % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with all_25_2, all_25_3, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_51_3, simplifying with (34), (35), % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (95), (115) gives: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v1 & unorthogonal_lines(all_25_3, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v3 & convergent_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v0 & convergent_lines(all_25_3, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v2 & ( ~ (v0 = 0) | (v3 = 0 & v2 = % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | (v1 = 0 & all_51_3 = 0))) % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_25_2, all_25_3, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1, 0, simplifying with (34), (35), (36), % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (115), (382) gives: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (415) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_3, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1) = v3 & convergent_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1) = v1 & convergent_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v0 & convergent_lines(all_25_3, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_1) = v2 & ( ~ (v0 = 0) | v1 = 0 | (v3 = % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 & v2 = 0))) % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_25_1, all_25_3, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2, all_53_2, simplifying with (34), (35), % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (36), (102), (116) gives: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (416) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_1, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v0 & unorthogonal_lines(all_25_3, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v3 & convergent_lines(all_25_1, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v1 & convergent_lines(all_25_3, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v2 & ( ~ (v0 = 0) | (v3 = 0 & v2 = % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | (v1 = 0 & all_53_2 = 0))) % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_25_2, all_25_0, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, 0, all_225_0, simplifying with (34), % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (35), (37), (115), (238) gives: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (417) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0) = v1 & convergent_lines(all_25_0, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v3 & convergent_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0) = v0 & convergent_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v2 = 0 | (v3 = 0 & all_225_0 = 0))) % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_25_0, all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_225_0, 0, simplifying with (34), % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (35), (37), (115), (238) gives: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (418) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_0, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v1 & convergent_lines(all_25_0, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_2) = v0 & convergent_lines(all_25_0, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v2 & convergent_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | v3 = 0 | (v2 = 0 & all_225_0 = 0))) % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with all_25_2, all_25_0, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3, all_225_0, simplifying with (34), (35), % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (37), (238), (357) gives: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (419) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (unorthogonal_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0) = v0 & unorthogonal_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v2 & convergent_lines(all_25_0, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v3 & convergent_lines(all_25_2, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_3) = v1 & ( ~ (v0 = 0) | (v3 = 0 & % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_225_0 = 0) | (v2 = 0 & v1 = 0))) % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (406) with fresh symbols all_395_0, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_395_1, all_395_2, all_395_3 gives: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (420) unorthogonal_lines(all_25_3, all_25_3) = all_395_0 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_2, all_25_3) = all_395_2 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_2, all_25_3) = all_395_3 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_3, all_25_3) = all_395_1 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_395_3 = 0) | all_395_2 = 0 | (all_395_0 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0 & all_395_1 = 0)) % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (420) implies: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (421) convergent_lines(all_25_2, all_25_3) = all_395_3 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (422) convergent_lines(all_25_2, all_25_3) = all_395_2 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (405) with fresh symbols all_397_0, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_397_1, all_397_2, all_397_3 gives: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (423) unorthogonal_lines(all_25_2, all_25_2) = all_397_2 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_2, all_25_2) = all_397_3 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_2, all_25_3) = all_397_0 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_2, all_25_3) = all_397_1 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_397_2 = 0) | ~ (all_397_3 = 0) | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_397_0 = 0 | all_397_1 = 0) % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (423) implies: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (424) convergent_lines(all_25_2, all_25_3) = all_397_1 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (425) convergent_lines(all_25_2, all_25_3) = all_397_0 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (415) with fresh symbols all_409_0, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_409_1, all_409_2, all_409_3 gives: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (426) unorthogonal_lines(all_25_3, all_25_1) = all_409_0 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_2, all_25_1) = all_409_2 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_2, all_25_3) = all_409_3 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_3, all_25_1) = all_409_1 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_409_3 = 0) | all_409_2 = 0 | (all_409_0 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0 & all_409_1 = 0)) % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (426) implies: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (427) convergent_lines(all_25_2, all_25_3) = all_409_3 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (412) with fresh symbols all_415_0, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_415_1, all_415_2, all_415_3 gives: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (428) unorthogonal_lines(all_25_2, all_25_0) = all_415_2 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_3, all_25_0) = % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_415_0 & convergent_lines(all_25_2, all_25_3) = % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_415_3 & convergent_lines(all_25_3, all_25_0) = % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_415_1 & ( ~ (all_415_3 = 0) | all_415_2 = 0 | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_415_0 = 0 & all_415_1 = 0)) % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (428) implies: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (429) convergent_lines(all_25_2, all_25_3) = all_415_3 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (410) with fresh symbols all_417_0, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_417_1, all_417_2, all_417_3 gives: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (430) unorthogonal_lines(all_25_0, all_25_3) = all_417_0 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_2, all_25_0) = % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_417_3 & convergent_lines(all_25_0, all_25_3) = % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_417_1 & convergent_lines(all_25_2, all_25_3) = % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_417_2 & ( ~ (all_417_3 = 0) | all_417_2 = 0 | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_417_0 = 0 & all_417_1 = 0)) % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (430) implies: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (431) convergent_lines(all_25_2, all_25_3) = all_417_2 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (409) with fresh symbols all_419_0, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_419_1, all_419_2, all_419_3 gives: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (432) unorthogonal_lines(all_25_1, all_25_2) = all_419_2 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_1, all_25_3) = % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_419_1 & convergent_lines(all_25_1, all_25_2) = % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_419_3 & convergent_lines(all_25_2, all_25_3) = % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_419_0 & ( ~ (all_419_2 = 0) | ~ (all_419_3 = % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | all_419_0 = 0 | all_419_1 = 0) % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (432) implies: % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (433) convergent_lines(all_25_2, all_25_3) = all_419_0 % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (408) with fresh symbols all_429_0, % 82.40/16.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_429_1, all_429_2, all_429_3 gives: % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (434) unorthogonal_lines(all_25_2, all_25_2) = all_429_2 % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_2, all_25_3) = % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_429_0 & convergent_lines(all_25_2, all_25_2) = % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_429_3 & convergent_lines(all_25_2, all_25_3) = % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_429_1 & ( ~ (all_429_2 = 0) | ~ (all_429_3 = % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | all_429_1 = 0 | (all_429_0 = 0 & all_36_0 % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)) % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (434) implies: % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (435) convergent_lines(all_25_2, all_25_3) = all_429_1 % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (413) with fresh symbols all_437_0, % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_437_1, all_437_2, all_437_3 gives: % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (436) unorthogonal_lines(all_25_2, all_25_1) = all_437_2 % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_3, all_25_1) = % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_437_0 & convergent_lines(all_25_2, all_25_3) = % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_437_3 & convergent_lines(all_25_3, all_25_1) = % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_437_1 & ( ~ (all_437_3 = 0) | (all_437_0 = 0 & % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_437_1 = 0) | (all_437_2 = 0 & all_57_3 = % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0)) % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (436) implies: % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (437) convergent_lines(all_25_2, all_25_3) = all_437_3 % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (411) with fresh symbols all_453_0, % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_453_1, all_453_2, all_453_3 gives: % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (438) unorthogonal_lines(all_25_2, all_25_3) = all_453_2 % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_3, all_25_3) = % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_453_0 & convergent_lines(all_25_2, all_25_3) = % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_453_3 & convergent_lines(all_25_3, all_25_3) = % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_453_1 & ( ~ (all_453_3 = 0) | (all_453_0 = 0 & % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_453_1 = 0) | (all_453_2 = 0 & all_36_0 = % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0)) % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (438) implies: % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (439) convergent_lines(all_25_2, all_25_3) = all_453_3 % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (404) with fresh symbols all_461_0, % 82.40/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_461_1, all_461_2, all_461_3 gives: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440) unorthogonal_lines(all_25_1, all_25_2) = all_461_2 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_1, all_25_2) = all_461_3 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_1, all_25_3) = all_461_1 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_2, all_25_3) = all_461_0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_461_2 = 0) | ~ (all_461_3 = 0) | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_461_0 = 0 | (all_461_1 = 0 & all_40_0 = 0)) % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (440) implies: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441) convergent_lines(all_25_2, all_25_3) = all_461_0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (407) with fresh symbols all_463_0, % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_463_1, all_463_2, all_463_3 gives: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (442) unorthogonal_lines(all_25_2, all_25_2) = all_463_2 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_2, all_25_3) = % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_463_1 & convergent_lines(all_25_2, all_25_2) = % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_463_3 & convergent_lines(all_25_2, all_25_3) = % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_463_0 & ( ~ (all_463_2 = 0) | ~ (all_463_3 = % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0) | all_463_0 = 0 | (all_463_1 = 0 & all_36_0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = 0)) % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (442) implies: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (443) convergent_lines(all_25_2, all_25_3) = all_463_0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (414) with fresh symbols all_485_0, % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_485_1, all_485_2, all_485_3 gives: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (444) unorthogonal_lines(all_25_2, all_25_2) = all_485_2 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_3, all_25_2) = % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_485_0 & convergent_lines(all_25_2, all_25_3) = % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_485_3 & convergent_lines(all_25_3, all_25_2) = % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_485_1 & ( ~ (all_485_3 = 0) | (all_485_0 = 0 & % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_485_1 = 0) | (all_485_2 = 0 & all_51_3 = % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0)) % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (444) implies: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (445) convergent_lines(all_25_3, all_25_2) = all_485_1 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (446) convergent_lines(all_25_2, all_25_3) = all_485_3 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (401) with fresh symbols all_501_0, % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_501_1, all_501_2, all_501_3 gives: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (447) unorthogonal_lines(all_25_1, all_25_2) = all_501_2 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_1, all_25_3) = % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_501_3 & unorthogonal_lines(all_25_3, all_25_2) % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_501_0 & convergent_lines(all_25_3, all_25_2) % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_501_1 & ( ~ (all_501_3 = 0) | (all_501_0 = 0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_501_1 = 0) | (all_501_2 = 0 & all_53_3 = % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0)) % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (447) implies: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (448) convergent_lines(all_25_3, all_25_2) = all_501_1 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (419) with fresh symbols all_511_0, % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_511_1, all_511_2, all_511_3 gives: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (449) unorthogonal_lines(all_25_2, all_25_0) = all_511_3 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_2, all_25_3) = % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_511_1 & convergent_lines(all_25_0, all_25_3) = % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_511_0 & convergent_lines(all_25_2, all_25_3) = % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_511_2 & ( ~ (all_511_3 = 0) | (all_511_0 = 0 & % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_225_0 = 0) | (all_511_1 = 0 & all_511_2 = % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0)) % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (449) implies: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450) convergent_lines(all_25_2, all_25_3) = all_511_2 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (418) with fresh symbols all_519_0, % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_519_1, all_519_2, all_519_3 gives: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451) unorthogonal_lines(all_25_0, all_25_2) = all_519_2 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_0, all_25_2) = all_519_3 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_0, all_25_3) = all_519_1 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_2, all_25_3) = all_519_0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_519_2 = 0) | ~ (all_519_3 = 0) | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_519_0 = 0 | (all_519_1 = 0 & all_225_0 = 0)) % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (451) implies: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (452) convergent_lines(all_25_2, all_25_3) = all_519_0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (417) with fresh symbols all_521_0, % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_521_1, all_521_2, all_521_3 gives: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (453) unorthogonal_lines(all_25_2, all_25_0) = all_521_2 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_0, all_25_3) = all_521_0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_2, all_25_0) = all_521_3 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & convergent_lines(all_25_2, all_25_3) = all_521_1 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_521_2 = 0) | ~ (all_521_3 = 0) | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_521_1 = 0 | (all_521_0 = 0 & all_225_0 = 0)) % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (453) implies: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (454) convergent_lines(all_25_2, all_25_3) = all_521_1 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (416) with fresh symbols all_541_0, % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_541_1, all_541_2, all_541_3 gives: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455) unorthogonal_lines(all_25_1, all_25_3) = all_541_3 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & unorthogonal_lines(all_25_3, all_25_2) = % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_541_0 & convergent_lines(all_25_1, all_25_2) = % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_541_2 & convergent_lines(all_25_3, all_25_2) = % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_541_1 & ( ~ (all_541_3 = 0) | (all_541_0 = 0 & % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_541_1 = 0) | (all_541_2 = 0 & all_53_2 = % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0)) % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (455) implies: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (456) convergent_lines(all_25_3, all_25_2) = all_541_1 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (457) distinct_lines(all_25_0, all_25_1) = 0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (458) all_209_2 = 0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (317), (458) imply: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (459) all_214_2 = 0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (7), (29), (34), (35), (49), (55), (56), % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (61), (100), (108), (228), (255), (256), (301), % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (353), (386), (397), (400), (402), (403), (421), % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (422), (424), (425), (427), (429), (431), (433), % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (435), (437), (439), (441), (443), (445), (446), % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (448), (450), (452), (454), (456), (459), (apart3) % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1. % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (460) all_199_2 = 0 | ? [v0: int] : ( ~ (v0 = 0) & % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_25_0, all_25_2) = v0) % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (460) gives: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (461) all_199_2 = 0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (397), (461) imply: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (462) $false % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (462) is inconsistent. % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_209_2, 0, all_25_1, % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_25_0, simplifying with (219), (457) gives: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463) all_209_2 = 0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (317), (463) imply: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (464) all_214_2 = 0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (7), (29), (34), (35), (49), (55), (56), % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (61), (100), (108), (228), (255), (256), (301), % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (353), (386), (397), (400), (402), (403), (421), % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (422), (424), (425), (427), (429), (431), (433), % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (435), (437), (439), (441), (443), (445), (446), % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (448), (450), (452), (454), (456), (464), (apart3) % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1. % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (465) all_57_3 = 0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (386), (465) imply: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (466) $false % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (466) is inconsistent. % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (467) all_366_0 = 0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (467) imply: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (468) all_57_3 = 0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (386), (468) imply: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (469) $false % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (469) is inconsistent. % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (470) (all_57_0 = 0 & all_40_0 = 0) | (all_57_1 = 0 & % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_36_0 = 0) % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (470) gives: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (471) all_57_0 = 0 & all_40_0 = 0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (471) implies: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472) all_40_0 = 0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (472) imply: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (473) $false % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (473) is inconsistent. % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (474) all_57_1 = 0 & all_36_0 = 0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (474) implies: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (475) all_36_0 = 0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (475) imply: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (476) $false % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (476) is inconsistent. % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (477) all_340_1 = 0 % 82.66/16.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (376), (477) imply: % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (478) all_38_0 = 0 % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (478) imply: % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (479) $false % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (479) is inconsistent. % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (480) all_86_1 = 0 % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (480) imply: % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (481) all_32_0 = 0 % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (481) imply: % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (482) $false % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (482) is inconsistent. % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | | % 82.66/16.03 | | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | | % 82.66/16.03 | | | | | | | | | End of split % 82.66/16.03 | | | | | | | | | % 82.66/16.03 | | | | | | | | End of split % 82.66/16.03 | | | | | | | | % 82.66/16.03 | | | | | | | End of split % 82.66/16.03 | | | | | | | % 82.66/16.03 | | | | | | End of split % 82.66/16.03 | | | | | | % 82.66/16.03 | | | | | End of split % 82.66/16.03 | | | | | % 82.66/16.03 | | | | End of split % 82.66/16.03 | | | | % 82.66/16.03 | | | End of split % 82.66/16.03 | | | % 82.66/16.03 | | Case 2: % 82.66/16.03 | | | % 82.66/16.03 | | | (483) all_40_0 = 0 % 82.66/16.03 | | | % 82.66/16.03 | | | REDUCE: (61), (483) imply: % 82.66/16.03 | | | (484) $false % 82.66/16.03 | | | % 82.66/16.03 | | | CLOSE: (484) is inconsistent. % 82.66/16.03 | | | % 82.66/16.03 | | End of split % 82.66/16.03 | | % 82.66/16.03 | Case 2: % 82.66/16.03 | | % 82.66/16.03 | | (485) all_36_0 = 0 % 82.66/16.03 | | % 82.66/16.03 | | REDUCE: (55), (485) imply: % 82.66/16.03 | | (486) $false % 82.66/16.03 | | % 82.66/16.03 | | CLOSE: (486) is inconsistent. % 82.66/16.03 | | % 82.66/16.03 | End of split % 82.66/16.03 | % 82.66/16.03 End of proof % 82.66/16.03 % 82.66/16.03 Sub-proof #1 shows that the following formulas are inconsistent: % 82.66/16.03 ---------------------------------------------------------------- % 82.66/16.03 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 82.66/16.03 (convergent_lines(v0, v1) = 0) | ~ (distinct_lines(v1, v2) = v3) | ~ % 82.66/16.03 $i(v2) | ~ $i(v1) | ~ $i(v0) | convergent_lines(v0, v2) = 0) % 82.66/16.03 (2) convergent_lines(all_25_2, all_25_3) = all_397_0 % 82.66/16.03 (3) convergent_lines(all_25_2, all_25_3) = all_519_0 % 82.66/16.03 (4) ~ (all_199_2 = 0) % 82.66/16.03 (5) convergent_lines(all_25_2, all_25_3) = all_453_3 % 82.66/16.03 (6) convergent_lines(all_25_2, all_25_3) = all_409_3 % 82.66/16.03 (7) all_214_2 = 0 % 82.66/16.03 (8) convergent_lines(all_25_2, all_25_3) = all_463_0 % 82.66/16.03 (9) convergent_lines(all_25_1, all_25_2) = all_53_3 % 82.66/16.03 (10) convergent_lines(all_25_3, all_25_2) = all_485_1 % 82.66/16.03 (11) ~ (all_32_0 = 0) % 82.66/16.03 (12) convergent_lines(all_25_2, all_25_3) = all_419_0 % 82.66/16.03 (13) ~ (all_57_3 = 0) % 82.66/16.03 (14) convergent_lines(all_25_2, all_25_3) = all_395_2 % 82.66/16.03 (15) convergent_lines(all_25_2, all_25_3) = all_437_3 % 82.66/16.03 (16) all_53_3 = 0 | convergent_lines(all_25_3, all_25_2) = 0 % 82.66/16.03 (17) convergent_lines(all_25_2, all_25_3) = all_397_1 % 82.66/16.03 (18) ! [v0: $i] : ( ~ (convergent_lines(v0, v0) = 0) | ~ $i(v0)) % 82.66/16.03 (19) all_199_2 = 0 | all_55_3 = 0 | ? [v0: int] : ( ~ (v0 = 0) & % 82.66/16.03 convergent_lines(all_25_1, all_25_2) = v0) % 82.66/16.03 (20) ~ (all_55_2 = 0) | ~ (all_55_3 = 0) | (all_55_0 = 0 & all_40_0 = 0) | % 82.66/16.03 (all_55_1 = 0 & all_40_0 = 0) % 82.66/16.03 (21) convergent_lines(all_25_2, all_25_3) = all_395_3 % 82.66/16.03 (22) convergent_lines(all_25_2, all_25_3) = all_461_0 % 82.66/16.03 (23) all_214_1 = all_32_0 % 82.66/16.03 (24) ~ (all_214_2 = 0) | all_214_0 = 0 | all_214_1 = 0 % 82.66/16.03 (25) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 82.66/16.03 ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ % 82.66/16.03 (convergent_lines(v3, v2) = v0)) % 82.66/16.03 (26) convergent_lines(all_25_3, all_25_2) = all_541_1 % 82.66/16.03 (27) convergent_lines(all_25_2, all_25_3) = all_415_3 % 82.66/16.03 (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 82.66/16.03 (convergent_lines(v1, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | % 82.66/16.03 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | convergent_lines(v0, v2) = 0) % 82.66/16.03 (29) convergent_lines(all_25_2, all_25_3) = all_36_0 % 82.66/16.03 (30) all_57_3 = 0 | all_55_3 = 0 | ? [v0: int] : ( ~ (v0 = 0) & % 82.66/16.03 convergent_lines(all_25_1, all_25_2) = v0) % 82.66/16.03 (31) convergent_lines(all_25_2, all_25_3) = all_429_1 % 82.66/16.03 (32) ~ (all_36_0 = 0) % 82.66/16.03 (33) ~ (all_245_1 = 0) | all_245_0 = 0 % 82.66/16.03 (34) convergent_lines(all_25_2, all_25_3) = all_511_2 % 82.66/16.03 (35) ~ (all_40_0 = 0) % 82.66/16.03 (36) convergent_lines(all_25_2, all_25_3) = all_485_3 % 82.66/16.03 (37) convergent_lines(all_25_3, all_25_2) = all_501_1 % 82.66/16.03 (38) distinct_lines(all_25_2, all_25_3) = all_245_1 % 82.66/16.03 (39) convergent_lines(all_25_2, all_25_3) = all_521_1 % 82.66/16.03 (40) convergent_lines(all_25_2, all_25_3) = all_417_2 % 82.66/16.03 (41) $i(all_25_2) % 82.66/16.03 (42) $i(all_25_3) % 82.66/16.03 (43) all_214_0 = all_55_2 % 82.66/16.03 % 82.66/16.03 Begin of proof % 82.66/16.03 | % 82.66/16.03 | BETA: splitting (24) gives: % 82.66/16.03 | % 82.66/16.03 | Case 1: % 82.66/16.03 | | % 82.66/16.03 | | (44) ~ (all_214_2 = 0) % 82.66/16.03 | | % 82.66/16.03 | | REDUCE: (7), (44) imply: % 82.66/16.03 | | (45) $false % 82.66/16.03 | | % 82.66/16.03 | | CLOSE: (45) is inconsistent. % 82.66/16.03 | | % 82.66/16.03 | Case 2: % 82.66/16.03 | | % 82.66/16.03 | | (46) all_214_0 = 0 | all_214_1 = 0 % 82.66/16.03 | | % 82.66/16.03 | | BETA: splitting (46) gives: % 82.66/16.03 | | % 82.66/16.03 | | Case 1: % 82.66/16.03 | | | % 82.66/16.03 | | | (47) all_214_0 = 0 % 82.66/16.03 | | | % 82.66/16.03 | | | COMBINE_EQS: (43), (47) imply: % 82.66/16.03 | | | (48) all_55_2 = 0 % 82.66/16.03 | | | % 82.66/16.03 | | | SIMP: (48) implies: % 82.66/16.03 | | | (49) all_55_2 = 0 % 82.66/16.03 | | | % 82.66/16.03 | | | BETA: splitting (20) gives: % 82.66/16.03 | | | % 82.66/16.03 | | | Case 1: % 82.66/16.03 | | | | % 82.66/16.03 | | | | (50) ~ (all_55_2 = 0) % 82.66/16.03 | | | | % 82.66/16.03 | | | | REDUCE: (49), (50) imply: % 82.66/16.03 | | | | (51) $false % 82.66/16.03 | | | | % 82.66/16.03 | | | | CLOSE: (51) is inconsistent. % 82.66/16.03 | | | | % 82.66/16.03 | | | Case 2: % 82.66/16.03 | | | | % 82.66/16.03 | | | | (52) ~ (all_55_3 = 0) | (all_55_0 = 0 & all_40_0 = 0) | (all_55_1 = % 82.66/16.03 | | | | 0 & all_40_0 = 0) % 82.66/16.03 | | | | % 82.66/16.03 | | | | BETA: splitting (52) gives: % 82.66/16.03 | | | | % 82.66/16.03 | | | | Case 1: % 82.66/16.03 | | | | | % 82.66/16.03 | | | | | (53) ~ (all_55_3 = 0) % 82.66/16.03 | | | | | % 82.66/16.03 | | | | | BETA: splitting (30) gives: % 82.66/16.03 | | | | | % 82.66/16.03 | | | | | Case 1: % 82.66/16.03 | | | | | | % 82.66/16.03 | | | | | | (54) all_57_3 = 0 % 82.66/16.03 | | | | | | % 82.66/16.03 | | | | | | REDUCE: (13), (54) imply: % 82.66/16.03 | | | | | | (55) $false % 82.66/16.03 | | | | | | % 82.66/16.03 | | | | | | CLOSE: (55) is inconsistent. % 82.66/16.03 | | | | | | % 82.66/16.03 | | | | | Case 2: % 82.66/16.03 | | | | | | % 82.66/16.03 | | | | | | (56) all_55_3 = 0 | ? [v0: int] : ( ~ (v0 = 0) & % 82.66/16.03 | | | | | | convergent_lines(all_25_1, all_25_2) = v0) % 82.66/16.03 | | | | | | % 82.66/16.03 | | | | | | BETA: splitting (56) gives: % 82.66/16.03 | | | | | | % 82.66/16.03 | | | | | | Case 1: % 82.66/16.03 | | | | | | | % 82.66/16.03 | | | | | | | (57) all_55_3 = 0 % 82.66/16.03 | | | | | | | % 82.66/16.03 | | | | | | | REDUCE: (53), (57) imply: % 82.66/16.03 | | | | | | | (58) $false % 82.66/16.03 | | | | | | | % 82.66/16.03 | | | | | | | CLOSE: (58) is inconsistent. % 82.66/16.03 | | | | | | | % 82.66/16.03 | | | | | | Case 2: % 82.66/16.03 | | | | | | | % 82.66/16.03 | | | | | | | (59) ? [v0: int] : ( ~ (v0 = 0) & convergent_lines(all_25_1, % 82.66/16.03 | | | | | | | all_25_2) = v0) % 82.66/16.03 | | | | | | | % 82.66/16.03 | | | | | | | DELTA: instantiating (59) with fresh symbol all_699_0 gives: % 82.66/16.03 | | | | | | | (60) ~ (all_699_0 = 0) & convergent_lines(all_25_1, all_25_2) % 82.66/16.03 | | | | | | | = all_699_0 % 82.66/16.03 | | | | | | | % 82.66/16.03 | | | | | | | ALPHA: (60) implies: % 82.66/16.03 | | | | | | | (61) ~ (all_699_0 = 0) % 82.66/16.03 | | | | | | | (62) convergent_lines(all_25_1, all_25_2) = all_699_0 % 82.66/16.03 | | | | | | | % 82.66/16.03 | | | | | | | BETA: splitting (19) gives: % 82.66/16.03 | | | | | | | % 82.66/16.03 | | | | | | | Case 1: % 82.66/16.03 | | | | | | | | % 82.66/16.03 | | | | | | | | (63) all_199_2 = 0 % 82.66/16.03 | | | | | | | | % 82.66/16.03 | | | | | | | | REDUCE: (4), (63) imply: % 82.66/16.03 | | | | | | | | (64) $false % 82.66/16.03 | | | | | | | | % 82.66/16.03 | | | | | | | | CLOSE: (64) is inconsistent. % 82.66/16.03 | | | | | | | | % 82.66/16.03 | | | | | | | Case 2: % 82.66/16.03 | | | | | | | | % 82.66/16.03 | | | | | | | | % 82.66/16.03 | | | | | | | | GROUND_INST: instantiating (25) with all_501_1, all_541_1, % 82.66/16.03 | | | | | | | | all_25_2, all_25_3, simplifying with (26), (37) % 82.66/16.04 | | | | | | | | gives: % 82.66/16.04 | | | | | | | | (65) all_541_1 = all_501_1 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | GROUND_INST: instantiating (25) with all_485_1, all_541_1, % 82.66/16.04 | | | | | | | | all_25_2, all_25_3, simplifying with (10), (26) % 82.66/16.04 | | | | | | | | gives: % 82.66/16.04 | | | | | | | | (66) all_541_1 = all_485_1 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | GROUND_INST: instantiating (25) with all_395_3, all_395_2, % 82.66/16.04 | | | | | | | | all_25_3, all_25_2, simplifying with (14), (21) % 82.66/16.04 | | | | | | | | gives: % 82.66/16.04 | | | | | | | | (67) all_395_2 = all_395_3 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | GROUND_INST: instantiating (25) with all_395_2, all_397_0, % 82.66/16.04 | | | | | | | | all_25_3, all_25_2, simplifying with (2), (14) % 82.66/16.04 | | | | | | | | gives: % 82.66/16.04 | | | | | | | | (68) all_397_0 = all_395_2 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | GROUND_INST: instantiating (25) with all_397_0, all_415_3, % 82.66/16.04 | | | | | | | | all_25_3, all_25_2, simplifying with (2), (27) % 82.66/16.04 | | | | | | | | gives: % 82.66/16.04 | | | | | | | | (69) all_415_3 = all_397_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | GROUND_INST: instantiating (25) with all_429_1, all_437_3, % 82.66/16.04 | | | | | | | | all_25_3, all_25_2, simplifying with (15), (31) % 82.66/16.04 | | | | | | | | gives: % 82.66/16.04 | | | | | | | | (70) all_437_3 = all_429_1 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | GROUND_INST: instantiating (25) with all_419_0, all_437_3, % 82.66/16.04 | | | | | | | | all_25_3, all_25_2, simplifying with (12), (15) % 82.66/16.04 | | | | | | | | gives: % 82.66/16.04 | | | | | | | | (71) all_437_3 = all_419_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | GROUND_INST: instantiating (25) with all_437_3, all_461_0, % 82.66/16.04 | | | | | | | | all_25_3, all_25_2, simplifying with (15), (22) % 82.66/16.04 | | | | | | | | gives: % 82.66/16.04 | | | | | | | | (72) all_461_0 = all_437_3 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | GROUND_INST: instantiating (25) with all_409_3, all_463_0, % 82.66/16.04 | | | | | | | | all_25_3, all_25_2, simplifying with (6), (8) % 82.66/16.04 | | | | | | | | gives: % 82.66/16.04 | | | | | | | | (73) all_463_0 = all_409_3 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | GROUND_INST: instantiating (25) with all_397_0, all_463_0, % 82.66/16.04 | | | | | | | | all_25_3, all_25_2, simplifying with (2), (8) % 82.66/16.04 | | | | | | | | gives: % 82.66/16.04 | | | | | | | | (74) all_463_0 = all_397_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | GROUND_INST: instantiating (25) with all_463_0, all_485_3, % 82.66/16.04 | | | | | | | | all_25_3, all_25_2, simplifying with (8), (36) % 82.66/16.04 | | | | | | | | gives: % 82.66/16.04 | | | | | | | | (75) all_485_3 = all_463_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | GROUND_INST: instantiating (25) with all_397_1, all_485_3, % 82.66/16.04 | | | | | | | | all_25_3, all_25_2, simplifying with (17), (36) % 82.66/16.04 | | | | | | | | gives: % 82.66/16.04 | | | | | | | | (76) all_485_3 = all_397_1 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | GROUND_INST: instantiating (25) with all_36_0, all_511_2, % 82.66/16.04 | | | | | | | | all_25_3, all_25_2, simplifying with (29), (34) % 82.66/16.04 | | | | | | | | gives: % 82.66/16.04 | | | | | | | | (77) all_511_2 = all_36_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | GROUND_INST: instantiating (25) with all_461_0, all_511_2, % 82.66/16.04 | | | | | | | | all_25_3, all_25_2, simplifying with (22), (34) % 82.66/16.04 | | | | | | | | gives: % 82.66/16.04 | | | | | | | | (78) all_511_2 = all_461_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | GROUND_INST: instantiating (25) with all_417_2, all_519_0, % 82.66/16.04 | | | | | | | | all_25_3, all_25_2, simplifying with (3), (40) % 82.66/16.04 | | | | | | | | gives: % 82.66/16.04 | | | | | | | | (79) all_519_0 = all_417_2 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | GROUND_INST: instantiating (25) with all_519_0, all_521_1, % 82.66/16.04 | | | | | | | | all_25_3, all_25_2, simplifying with (3), (39) % 82.66/16.04 | | | | | | | | gives: % 82.66/16.04 | | | | | | | | (80) all_521_1 = all_519_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | GROUND_INST: instantiating (25) with all_453_3, all_521_1, % 82.66/16.04 | | | | | | | | all_25_3, all_25_2, simplifying with (5), (39) % 82.66/16.04 | | | | | | | | gives: % 82.66/16.04 | | | | | | | | (81) all_521_1 = all_453_3 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | GROUND_INST: instantiating (25) with all_419_0, all_521_1, % 82.66/16.04 | | | | | | | | all_25_3, all_25_2, simplifying with (12), (39) % 82.66/16.04 | | | | | | | | gives: % 82.66/16.04 | | | | | | | | (82) all_521_1 = all_419_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | GROUND_INST: instantiating (25) with all_415_3, all_521_1, % 82.66/16.04 | | | | | | | | all_25_3, all_25_2, simplifying with (27), (39) % 82.66/16.04 | | | | | | | | gives: % 82.66/16.04 | | | | | | | | (83) all_521_1 = all_415_3 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | GROUND_INST: instantiating (25) with all_53_3, all_699_0, % 82.66/16.04 | | | | | | | | all_25_2, all_25_1, simplifying with (9), (62) % 82.66/16.04 | | | | | | | | gives: % 82.66/16.04 | | | | | | | | (84) all_699_0 = all_53_3 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (65), (66) imply: % 82.66/16.04 | | | | | | | | (85) all_501_1 = all_485_1 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | SIMP: (85) implies: % 82.66/16.04 | | | | | | | | (86) all_501_1 = all_485_1 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (80), (81) imply: % 82.66/16.04 | | | | | | | | (87) all_519_0 = all_453_3 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | SIMP: (87) implies: % 82.66/16.04 | | | | | | | | (88) all_519_0 = all_453_3 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (81), (83) imply: % 82.66/16.04 | | | | | | | | (89) all_453_3 = all_415_3 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (81), (82) imply: % 82.66/16.04 | | | | | | | | (90) all_453_3 = all_419_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (79), (88) imply: % 82.66/16.04 | | | | | | | | (91) all_453_3 = all_417_2 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | SIMP: (91) implies: % 82.66/16.04 | | | | | | | | (92) all_453_3 = all_417_2 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (77), (78) imply: % 82.66/16.04 | | | | | | | | (93) all_461_0 = all_36_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | SIMP: (93) implies: % 82.66/16.04 | | | | | | | | (94) all_461_0 = all_36_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (75), (76) imply: % 82.66/16.04 | | | | | | | | (95) all_463_0 = all_397_1 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | SIMP: (95) implies: % 82.66/16.04 | | | | | | | | (96) all_463_0 = all_397_1 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (73), (74) imply: % 82.66/16.04 | | | | | | | | (97) all_409_3 = all_397_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (73), (96) imply: % 82.66/16.04 | | | | | | | | (98) all_409_3 = all_397_1 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (72), (94) imply: % 82.66/16.04 | | | | | | | | (99) all_437_3 = all_36_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | SIMP: (99) implies: % 82.66/16.04 | | | | | | | | (100) all_437_3 = all_36_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (90), (92) imply: % 82.66/16.04 | | | | | | | | (101) all_419_0 = all_417_2 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | SIMP: (101) implies: % 82.66/16.04 | | | | | | | | (102) all_419_0 = all_417_2 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (89), (92) imply: % 82.66/16.04 | | | | | | | | (103) all_417_2 = all_415_3 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (70), (71) imply: % 82.66/16.04 | | | | | | | | (104) all_429_1 = all_419_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (70), (100) imply: % 82.66/16.04 | | | | | | | | (105) all_429_1 = all_36_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (104), (105) imply: % 82.66/16.04 | | | | | | | | (106) all_419_0 = all_36_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | SIMP: (106) implies: % 82.66/16.04 | | | | | | | | (107) all_419_0 = all_36_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (102), (107) imply: % 82.66/16.04 | | | | | | | | (108) all_417_2 = all_36_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | SIMP: (108) implies: % 82.66/16.04 | | | | | | | | (109) all_417_2 = all_36_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (103), (109) imply: % 82.66/16.04 | | | | | | | | (110) all_415_3 = all_36_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | SIMP: (110) implies: % 82.66/16.04 | | | | | | | | (111) all_415_3 = all_36_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (69), (111) imply: % 82.66/16.04 | | | | | | | | (112) all_397_0 = all_36_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | SIMP: (112) implies: % 82.66/16.04 | | | | | | | | (113) all_397_0 = all_36_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (97), (98) imply: % 82.66/16.04 | | | | | | | | (114) all_397_0 = all_397_1 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | SIMP: (114) implies: % 82.66/16.04 | | | | | | | | (115) all_397_0 = all_397_1 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (68), (115) imply: % 82.66/16.04 | | | | | | | | (116) all_397_1 = all_395_2 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (113), (115) imply: % 82.66/16.04 | | | | | | | | (117) all_397_1 = all_36_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (116), (117) imply: % 82.66/16.04 | | | | | | | | (118) all_395_2 = all_36_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | SIMP: (118) implies: % 82.66/16.04 | | | | | | | | (119) all_395_2 = all_36_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | COMBINE_EQS: (67), (119) imply: % 82.66/16.04 | | | | | | | | (120) all_395_3 = all_36_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | SIMP: (120) implies: % 82.66/16.04 | | | | | | | | (121) all_395_3 = all_36_0 % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | REDUCE: (61), (84) imply: % 82.66/16.04 | | | | | | | | (122) ~ (all_53_3 = 0) % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | BETA: splitting (16) gives: % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | | Case 1: % 82.66/16.04 | | | | | | | | | % 82.66/16.04 | | | | | | | | | (123) convergent_lines(all_25_3, all_25_2) = 0 % 82.66/16.04 | | | | | | | | | % 82.66/16.04 | | | | | | | | | GROUND_INST: instantiating (25) with all_485_1, 0, all_25_2, % 82.66/16.04 | | | | | | | | | all_25_3, simplifying with (10), (123) gives: % 82.66/16.04 | | | | | | | | | (124) all_485_1 = 0 % 82.66/16.04 | | | | | | | | | % 82.66/16.04 | | | | | | | | | BETA: splitting (33) gives: % 82.66/16.04 | | | | | | | | | % 82.66/16.04 | | | | | | | | | Case 1: % 82.66/16.04 | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | (125) ~ (all_245_1 = 0) % 82.66/16.04 | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | GROUND_INST: instantiating (1) with all_25_3, all_25_2, % 82.66/16.04 | | | | | | | | | | all_25_3, all_245_1, simplifying with (38), (41), % 82.66/16.04 | | | | | | | | | | (42), (123) gives: % 82.66/16.04 | | | | | | | | | | (126) all_245_1 = 0 | convergent_lines(all_25_3, % 82.66/16.04 | | | | | | | | | | all_25_3) = 0 % 82.66/16.04 | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | BETA: splitting (126) gives: % 82.66/16.04 | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | Case 1: % 82.66/16.04 | | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | | (127) convergent_lines(all_25_3, all_25_3) = 0 % 82.66/16.04 | | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | | GROUND_INST: instantiating (18) with all_25_3, simplifying with % 82.66/16.04 | | | | | | | | | | | (42), (127) gives: % 82.66/16.04 | | | | | | | | | | | (128) $false % 82.66/16.04 | | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | | CLOSE: (128) is inconsistent. % 82.66/16.04 | | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | Case 2: % 82.66/16.04 | | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | | (129) all_245_1 = 0 % 82.66/16.04 | | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | | REDUCE: (125), (129) imply: % 82.66/16.04 | | | | | | | | | | | (130) $false % 82.66/16.04 | | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | | CLOSE: (130) is inconsistent. % 82.66/16.04 | | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | End of split % 82.66/16.04 | | | | | | | | | | % 82.66/16.04 | | | | | | | | | Case 2: % 82.66/16.04 | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | GROUND_INST: instantiating (28) with all_25_3, all_25_2, % 82.66/16.04 | | | | | | | | | | all_25_3, all_36_0, simplifying with (29), (41), % 82.66/16.04 | | | | | | | | | | (42), (123) gives: % 82.66/16.04 | | | | | | | | | | (131) all_36_0 = 0 | convergent_lines(all_25_3, all_25_3) % 82.66/16.04 | | | | | | | | | | = 0 % 82.66/16.04 | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | BETA: splitting (131) gives: % 82.66/16.04 | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | Case 1: % 82.66/16.04 | | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | | (132) convergent_lines(all_25_3, all_25_3) = 0 % 82.66/16.04 | | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | | GROUND_INST: instantiating (18) with all_25_3, simplifying with % 82.66/16.04 | | | | | | | | | | | (42), (132) gives: % 82.66/16.04 | | | | | | | | | | | (133) $false % 82.66/16.04 | | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | | CLOSE: (133) is inconsistent. % 82.66/16.04 | | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | Case 2: % 82.66/16.04 | | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | | (134) all_36_0 = 0 % 82.66/16.04 | | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | | REDUCE: (32), (134) imply: % 82.66/16.04 | | | | | | | | | | | (135) $false % 82.66/16.04 | | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | | CLOSE: (135) is inconsistent. % 82.66/16.04 | | | | | | | | | | | % 82.66/16.04 | | | | | | | | | | End of split % 82.66/16.04 | | | | | | | | | | % 82.66/16.04 | | | | | | | | | End of split % 82.66/16.04 | | | | | | | | | % 82.66/16.04 | | | | | | | | Case 2: % 82.66/16.04 | | | | | | | | | % 82.66/16.04 | | | | | | | | | (136) all_53_3 = 0 % 82.66/16.04 | | | | | | | | | % 82.66/16.04 | | | | | | | | | REDUCE: (122), (136) imply: % 82.66/16.04 | | | | | | | | | (137) $false % 82.66/16.04 | | | | | | | | | % 82.66/16.04 | | | | | | | | | CLOSE: (137) is inconsistent. % 82.66/16.04 | | | | | | | | | % 82.66/16.04 | | | | | | | | End of split % 82.66/16.04 | | | | | | | | % 82.66/16.04 | | | | | | | End of split % 82.66/16.04 | | | | | | | % 82.66/16.04 | | | | | | End of split % 82.66/16.04 | | | | | | % 82.66/16.04 | | | | | End of split % 82.66/16.04 | | | | | % 82.66/16.04 | | | | Case 2: % 82.66/16.04 | | | | | % 82.66/16.04 | | | | | (138) (all_55_0 = 0 & all_40_0 = 0) | (all_55_1 = 0 & all_40_0 = 0) % 82.66/16.04 | | | | | % 82.66/16.04 | | | | | BETA: splitting (138) gives: % 82.66/16.04 | | | | | % 82.66/16.04 | | | | | Case 1: % 82.66/16.04 | | | | | | % 82.66/16.04 | | | | | | (139) all_55_0 = 0 & all_40_0 = 0 % 82.66/16.04 | | | | | | % 82.66/16.04 | | | | | | ALPHA: (139) implies: % 82.66/16.04 | | | | | | (140) all_40_0 = 0 % 82.66/16.04 | | | | | | % 82.66/16.04 | | | | | | REDUCE: (35), (140) imply: % 82.66/16.04 | | | | | | (141) $false % 82.66/16.04 | | | | | | % 82.66/16.04 | | | | | | CLOSE: (141) is inconsistent. % 82.66/16.04 | | | | | | % 82.66/16.04 | | | | | Case 2: % 82.66/16.04 | | | | | | % 82.66/16.04 | | | | | | (142) all_55_1 = 0 & all_40_0 = 0 % 82.66/16.04 | | | | | | % 82.66/16.04 | | | | | | ALPHA: (142) implies: % 82.66/16.04 | | | | | | (143) all_40_0 = 0 % 82.66/16.04 | | | | | | % 82.66/16.04 | | | | | | REDUCE: (35), (143) imply: % 82.66/16.04 | | | | | | (144) $false % 82.66/16.04 | | | | | | % 82.66/16.04 | | | | | | CLOSE: (144) is inconsistent. % 82.66/16.04 | | | | | | % 82.66/16.04 | | | | | End of split % 82.66/16.04 | | | | | % 82.66/16.04 | | | | End of split % 82.66/16.04 | | | | % 82.66/16.04 | | | End of split % 82.66/16.04 | | | % 82.66/16.04 | | Case 2: % 82.66/16.04 | | | % 82.66/16.04 | | | (145) all_214_1 = 0 % 82.66/16.04 | | | % 82.66/16.04 | | | COMBINE_EQS: (23), (145) imply: % 82.66/16.04 | | | (146) all_32_0 = 0 % 82.66/16.04 | | | % 82.66/16.04 | | | SIMP: (146) implies: % 82.66/16.04 | | | (147) all_32_0 = 0 % 82.66/16.04 | | | % 82.66/16.04 | | | REDUCE: (11), (147) imply: % 82.66/16.04 | | | (148) $false % 82.66/16.04 | | | % 82.66/16.04 | | | CLOSE: (148) is inconsistent. % 82.66/16.04 | | | % 82.66/16.04 | | End of split % 82.66/16.04 | | % 82.66/16.04 | End of split % 82.66/16.04 | % 82.66/16.04 End of proof % 82.66/16.04 % SZS output end Proof for theBenchmark % 82.66/16.04 % 82.66/16.04 15377ms %------------------------------------------------------------------------------