%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GEO205+3 : TPTP v8.1.2. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n008.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 23:22:17 EDT 2023 % Result : Theorem 14.63s 2.81s % Output : Proof 39.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO205+3 : TPTP v8.1.2. Released v4.0.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.34 % Computer : n008.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Tue Aug 29 20:36:32 EDT 2023 % 0.12/0.34 % CPUTime : % 0.19/0.61 ________ _____ % 0.19/0.61 ___ __ \_________(_)________________________________ % 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.61 % 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.61 (2023-06-19) % 0.19/0.61 % 0.19/0.61 (c) Philipp Rümmer, 2009-2023 % 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.61 Amanda Stjerna. % 0.19/0.61 Free software under BSD-3-Clause. % 0.19/0.61 % 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.61 % 0.19/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.62 Running up to 7 provers in parallel. % 0.19/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.79/1.12 Prover 4: Preprocessing ... % 3.21/1.12 Prover 1: Preprocessing ... % 3.48/1.17 Prover 6: Preprocessing ... % 3.48/1.17 Prover 5: Preprocessing ... % 3.48/1.17 Prover 2: Preprocessing ... % 3.48/1.17 Prover 0: Preprocessing ... % 3.48/1.17 Prover 3: Preprocessing ... % 6.11/1.56 Prover 5: Proving ... % 6.11/1.57 Prover 2: Proving ... % 6.48/1.64 Prover 6: Constructing countermodel ... % 6.94/1.65 Prover 1: Constructing countermodel ... % 7.05/1.67 Prover 3: Constructing countermodel ... % 7.69/1.80 Prover 3: gave up % 7.69/1.82 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.31/1.87 Prover 6: gave up % 8.31/1.88 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.60/1.92 Prover 7: Preprocessing ... % 8.60/1.94 Prover 4: Constructing countermodel ... % 9.05/1.94 Prover 8: Preprocessing ... % 9.16/1.96 Prover 0: Proving ... % 9.16/1.99 Prover 7: Warning: ignoring some quantifiers % 9.16/2.01 Prover 7: Constructing countermodel ... % 9.16/2.08 Prover 8: Warning: ignoring some quantifiers % 9.16/2.10 Prover 8: Constructing countermodel ... % 9.16/2.10 Prover 1: gave up % 9.16/2.13 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 9.16/2.16 Prover 9: Preprocessing ... % 11.55/2.36 Prover 8: gave up % 11.55/2.37 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 12.45/2.44 Prover 10: Preprocessing ... % 12.45/2.46 Prover 7: gave up % 12.45/2.46 Prover 9: Constructing countermodel ... % 12.45/2.47 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 13.10/2.51 Prover 11: Preprocessing ... % 13.10/2.52 Prover 10: Warning: ignoring some quantifiers % 13.10/2.53 Prover 10: Constructing countermodel ... % 14.56/2.69 Prover 10: gave up % 14.63/2.69 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 14.63/2.73 Prover 11: Constructing countermodel ... % 14.63/2.73 Prover 12: Preprocessing ... % 14.63/2.81 Prover 0: proved (2186ms) % 14.63/2.81 % 14.63/2.81 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 14.63/2.81 % 14.63/2.83 Prover 9: stopped % 14.63/2.83 Prover 12: stopped % 14.63/2.84 Prover 5: stopped % 14.63/2.84 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 14.63/2.84 Prover 2: stopped % 14.63/2.84 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 14.63/2.85 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 15.56/2.86 Prover 13: Preprocessing ... % 15.81/2.87 Prover 16: Preprocessing ... % 15.81/2.88 Prover 19: Preprocessing ... % 15.81/2.89 Prover 13: Warning: ignoring some quantifiers % 15.81/2.92 Prover 13: Constructing countermodel ... % 15.81/2.92 Prover 16: Warning: ignoring some quantifiers % 15.81/2.93 Prover 16: Constructing countermodel ... % 16.42/2.97 Prover 19: Warning: ignoring some quantifiers % 16.42/2.98 Prover 19: Constructing countermodel ... % 17.09/3.07 Prover 13: gave up % 18.04/3.18 Prover 19: gave up % 19.78/3.46 Prover 16: gave up % 38.11/6.89 Prover 4: Found proof (size 454) % 38.11/6.89 Prover 4: proved (6258ms) % 38.11/6.90 Prover 11: stopped % 38.11/6.90 % 38.11/6.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 38.11/6.90 % 38.30/6.95 % SZS output start Proof for theBenchmark % 38.30/6.96 Assumptions after simplification: % 38.30/6.96 --------------------------------- % 38.30/6.96 % 38.30/6.96 (apart3) % 38.30/6.98 ! [v0: $i] : ( ~ (convergent_lines(v0, v0) = 0) | ~ $i(v0)) % 38.30/6.98 % 38.30/6.98 (ax1) % 38.30/6.99 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (equal_points(v0, v1) % 38.30/6.99 = v2) | ~ $i(v1) | ~ $i(v0) | distinct_points(v0, v1) = 0) & ! [v0: $i] % 38.30/6.99 : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (distinct_points(v0, v1) = v2) | % 38.30/6.99 ~ $i(v1) | ~ $i(v0) | equal_points(v0, v1) = 0) & ! [v0: $i] : ! [v1: $i] % 38.30/6.99 : ( ~ (equal_points(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: int] : ( ~ % 38.30/6.99 (v2 = 0) & distinct_points(v0, v1) = v2)) & ! [v0: $i] : ! [v1: $i] : ( % 38.30/6.99 ~ (distinct_points(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: int] : ( ~ % 38.30/6.99 (v2 = 0) & equal_points(v0, v1) = v2)) % 38.30/6.99 % 38.30/6.99 (ax2) % 38.30/6.99 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (equal_lines(v0, v1) = % 38.30/6.99 v2) | ~ $i(v1) | ~ $i(v0) | distinct_lines(v0, v1) = 0) & ! [v0: $i] : % 38.30/6.99 ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (distinct_lines(v0, v1) = v2) | ~ % 38.30/6.99 $i(v1) | ~ $i(v0) | equal_lines(v0, v1) = 0) & ! [v0: $i] : ! [v1: $i] : % 38.30/6.99 ( ~ (equal_lines(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 % 38.30/6.99 = 0) & distinct_lines(v0, v1) = v2)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 38.30/6.99 (distinct_lines(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: int] : ( ~ % 38.30/6.99 (v2 = 0) & equal_lines(v0, v1) = v2)) % 38.30/6.99 % 38.30/6.99 (ceq2) % 38.30/7.00 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = % 38.30/7.00 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_lines(v1, % 38.30/7.00 v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = % 38.30/7.00 0) & apart_point_and_line(v0, v1) = v5)) & ! [v0: $i] : ! [v1: $i] : % 38.30/7.00 ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0, v2) = v3) | % 38.30/7.00 ~ (apart_point_and_line(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 38.30/7.00 distinct_lines(v1, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 38.30/7.00 [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0, v1) = 0) | ~ % 38.30/7.00 (distinct_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 38.30/7.00 apart_point_and_line(v0, v2) = 0) % 38.30/7.00 % 38.30/7.00 (ceq3) % 38.30/7.00 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = % 38.30/7.00 0 | v3 = 0 | ~ (convergent_lines(v0, v2) = v4) | ~ (distinct_lines(v1, v2) % 38.30/7.00 = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) & % 38.30/7.00 convergent_lines(v0, v1) = v5)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 38.30/7.00 : ! [v3: int] : (v3 = 0 | ~ (convergent_lines(v0, v2) = v3) | ~ % 38.30/7.00 (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 38.30/7.00 distinct_lines(v1, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 38.30/7.00 [v3: int] : (v3 = 0 | ~ (convergent_lines(v0, v1) = 0) | ~ % 38.30/7.00 (distinct_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 38.30/7.00 convergent_lines(v0, v2) = 0) % 38.30/7.00 % 38.30/7.00 (ci3) % 38.58/7.00 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, v1) = % 38.58/7.00 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 38.58/7.00 (apart_point_and_line(v2, v0) = v4 & convergent_lines(v0, v1) = v3 & ( ~ (v4 % 38.58/7.00 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 38.58/7.00 (convergent_lines(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ? % 38.58/7.00 [v3: int] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 & % 38.58/7.00 apart_point_and_line(v2, v0) = v3 & $i(v2))) % 38.58/7.00 % 38.58/7.00 (ci4) % 38.58/7.01 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, v1) = % 38.58/7.01 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 38.58/7.01 (apart_point_and_line(v2, v1) = v4 & convergent_lines(v0, v1) = v3 & ( ~ (v4 % 38.58/7.01 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 38.58/7.01 (convergent_lines(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ? % 38.58/7.01 [v3: int] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 & % 38.58/7.01 apart_point_and_line(v2, v1) = v3 & $i(v2))) % 38.58/7.01 % 38.58/7.01 (con) % 38.58/7.01 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: any] : ? [v4: $i] : ? [v5: % 38.58/7.01 $i] : ? [v6: any] : (equal_lines(v1, v2) = 0 & equal_points(v4, v5) = v6 & % 38.58/7.01 intersection_point(v0, v2) = v5 & intersection_point(v0, v1) = v4 & % 38.58/7.01 convergent_lines(v0, v2) = v3 & convergent_lines(v0, v1) = 0 & $i(v5) & % 38.58/7.01 $i(v4) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v6 = 0) | ~ (v3 = 0))) % 38.58/7.01 % 38.58/7.01 (cotno1) % 38.58/7.02 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~ % 38.58/7.02 (unorthogonal_lines(v0, v2) = v4) | ~ (unorthogonal_lines(v0, v1) = v3) | % 38.58/7.02 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: % 38.58/7.02 any] : ? [v8: any] : (unorthogonal_lines(v1, v2) = v8 & % 38.58/7.02 convergent_lines(v1, v2) = v7 & convergent_lines(v0, v2) = v6 & % 38.58/7.02 convergent_lines(v0, v1) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0) | (v6 = 0 & v4 % 38.58/7.02 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 38.58/7.02 : ! [v3: any] : ! [v4: any] : ( ~ (unorthogonal_lines(v0, v2) = v4) | ~ % 38.58/7.02 (convergent_lines(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 38.58/7.02 [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : % 38.58/7.02 (unorthogonal_lines(v1, v2) = v8 & unorthogonal_lines(v0, v1) = v5 & % 38.58/7.02 convergent_lines(v1, v2) = v7 & convergent_lines(v0, v2) = v6 & ( ~ (v8 = % 38.58/7.02 0) | ~ (v7 = 0) | (v6 = 0 & v4 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0: % 38.58/7.02 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~ % 38.58/7.02 (unorthogonal_lines(v0, v1) = v3) | ~ (convergent_lines(v0, v2) = v4) | ~ % 38.58/7.02 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] % 38.58/7.02 : ? [v8: any] : (unorthogonal_lines(v1, v2) = v8 & unorthogonal_lines(v0, % 38.58/7.02 v2) = v6 & convergent_lines(v1, v2) = v7 & convergent_lines(v0, v1) = v5 % 38.58/7.02 & ( ~ (v8 = 0) | ~ (v7 = 0) | (v6 = 0 & v4 = 0) | (v5 = 0 & v3 = 0)))) & % 38.58/7.02 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~ % 38.58/7.02 (convergent_lines(v0, v2) = v4) | ~ (convergent_lines(v0, v1) = v3) | ~ % 38.58/7.02 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] % 38.58/7.02 : ? [v8: any] : (unorthogonal_lines(v1, v2) = v8 & unorthogonal_lines(v0, % 38.58/7.02 v2) = v6 & unorthogonal_lines(v0, v1) = v5 & convergent_lines(v1, v2) = % 38.58/7.02 v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (v6 = 0 & v4 = 0) | (v5 = 0 & v3 = 0)))) % 38.58/7.02 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ % 38.58/7.02 (unorthogonal_lines(v1, v2) = 0) | ~ (unorthogonal_lines(v0, v2) = v3) | ~ % 38.58/7.02 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any] % 38.58/7.02 : ? [v7: any] : (unorthogonal_lines(v0, v1) = v5 & convergent_lines(v1, v2) % 38.58/7.02 = v7 & convergent_lines(v0, v2) = v6 & convergent_lines(v0, v1) = v4 & ( ~ % 38.58/7.02 (v7 = 0) | (v6 = 0 & v3 = 0) | (v5 = 0 & v4 = 0)))) & ! [v0: $i] : ! % 38.58/7.02 [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v1, v2) = 0) | % 38.58/7.02 ~ (unorthogonal_lines(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 38.58/7.02 ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 38.58/7.02 (unorthogonal_lines(v0, v2) = v6 & convergent_lines(v1, v2) = v7 & % 38.58/7.02 convergent_lines(v0, v2) = v5 & convergent_lines(v0, v1) = v4 & ( ~ (v7 = % 38.58/7.02 0) | (v6 = 0 & v5 = 0) | (v4 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1: % 38.58/7.02 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~ % 38.58/7.02 (convergent_lines(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 38.58/7.02 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 38.58/7.02 (unorthogonal_lines(v0, v2) = v6 & unorthogonal_lines(v0, v1) = v5 & % 38.58/7.02 convergent_lines(v1, v2) = v7 & convergent_lines(v0, v1) = v4 & ( ~ (v7 = % 38.58/7.02 0) | (v6 = 0 & v3 = 0) | (v5 = 0 & v4 = 0)))) & ! [v0: $i] : ! [v1: % 38.58/7.02 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~ % 38.58/7.02 (convergent_lines(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 38.58/7.02 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 38.58/7.02 (unorthogonal_lines(v0, v2) = v6 & unorthogonal_lines(v0, v1) = v4 & % 38.58/7.02 convergent_lines(v1, v2) = v7 & convergent_lines(v0, v2) = v5 & ( ~ (v7 = % 38.58/7.02 0) | (v6 = 0 & v5 = 0) | (v4 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1: % 38.58/7.02 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v2) = v3) | % 38.58/7.02 ~ (convergent_lines(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 38.58/7.02 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 38.58/7.02 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v1) = v5 & % 38.58/7.02 convergent_lines(v0, v2) = v6 & convergent_lines(v0, v1) = v4 & ( ~ (v7 = % 38.58/7.02 0) | (v6 = 0 & v3 = 0) | (v5 = 0 & v4 = 0)))) & ! [v0: $i] : ! [v1: % 38.58/7.02 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v1) = v3) | % 38.58/7.02 ~ (convergent_lines(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 38.58/7.02 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 38.58/7.02 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v6 & % 38.58/7.02 convergent_lines(v0, v2) = v5 & convergent_lines(v0, v1) = v4 & ( ~ (v7 = % 38.58/7.02 0) | (v6 = 0 & v5 = 0) | (v4 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1: % 38.58/7.02 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (convergent_lines(v1, v2) = 0) | ~ % 38.58/7.02 (convergent_lines(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 38.58/7.02 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 38.58/7.02 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v6 & % 38.58/7.02 unorthogonal_lines(v0, v1) = v5 & convergent_lines(v0, v1) = v4 & ( ~ (v7 % 38.58/7.02 = 0) | (v6 = 0 & v3 = 0) | (v5 = 0 & v4 = 0)))) & ! [v0: $i] : ! % 38.58/7.02 [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (convergent_lines(v1, v2) = 0) | % 38.58/7.02 ~ (convergent_lines(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 38.58/7.02 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 38.58/7.02 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v6 & % 38.58/7.02 unorthogonal_lines(v0, v1) = v4 & convergent_lines(v0, v2) = v5 & ( ~ (v7 % 38.58/7.02 = 0) | (v6 = 0 & v5 = 0) | (v4 = 0 & v3 = 0)))) % 38.58/7.02 % 38.58/7.02 (cu1) % 38.58/7.03 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: % 38.58/7.03 int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) | ~ % 38.58/7.03 (apart_point_and_line(v1, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~ % 38.58/7.03 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : % 38.58/7.03 ? [v8: any] : (apart_point_and_line(v0, v3) = v8 & apart_point_and_line(v0, % 38.58/7.03 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = % 38.58/7.03 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 38.58/7.03 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = % 38.58/7.03 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ (distinct_lines(v2, v3) % 38.58/7.03 = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? % 38.58/7.03 [v7: any] : ? [v8: any] : (apart_point_and_line(v1, v2) = v8 & % 38.58/7.03 apart_point_and_line(v0, v2) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v6 % 38.58/7.03 = 0) | v8 = 0 | v7 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 38.58/7.03 ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ % 38.58/7.03 (apart_point_and_line(v1, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4) % 38.58/7.03 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: % 38.58/7.03 any] : ? [v8: any] : ? [v9: any] : (apart_point_and_line(v1, v2) = v9 & % 38.58/7.03 apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 & % 38.58/7.03 distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = % 38.58/7.03 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 38.58/7.03 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = % 38.58/7.03 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 38.58/7.03 $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: % 38.58/7.03 any] : (apart_point_and_line(v1, v3) = v9 & apart_point_and_line(v0, v2) = % 38.58/7.03 v8 & distinct_lines(v2, v3) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v7 % 38.58/7.03 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = 0))) & ! [v0: $i] : ! [v1: $i] : % 38.58/7.03 ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ % 38.58/7.03 (apart_point_and_line(v1, v2) = v5) | ~ (apart_point_and_line(v0, v2) = v4) % 38.58/7.03 | ~ (distinct_lines(v2, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 38.58/7.03 $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : % 38.58/7.03 (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v0, v3) = v7 & % 38.58/7.03 distinct_points(v0, v1) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) & ! [v0: % 38.58/7.03 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] % 38.58/7.03 : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v0, v3) = v5) | ~ % 38.58/7.03 (apart_point_and_line(v0, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~ % 38.58/7.03 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : % 38.58/7.03 ? [v8: any] : (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v1, % 38.58/7.03 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = % 38.58/7.03 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 38.58/7.03 (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ~ $i(v3) % 38.58/7.03 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: % 38.58/7.03 any] : ? [v7: any] : (apart_point_and_line(v1, v3) = v7 & % 38.58/7.03 apart_point_and_line(v1, v2) = v6 & apart_point_and_line(v0, v3) = v5 & % 38.58/7.03 apart_point_and_line(v0, v2) = v4 & (v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0))) % 38.58/7.03 % 38.58/7.03 (cup1) % 38.58/7.03 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = % 38.58/7.03 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~ % 38.58/7.03 (apart_point_and_line(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 38.58/7.03 [v5: any] : ? [v6: any] : (convergent_lines(v1, v2) = v6 & % 38.58/7.03 distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0: $i] : ! % 38.58/7.03 [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = 0 | v3 = 0 | ~ % 38.58/7.03 (apart_point_and_line(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = v4) | % 38.58/7.03 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : % 38.58/7.03 (apart_point_and_line(v0, v1) = v6 & distinct_lines(v1, v2) = v5 & ( ~ (v5 = % 38.58/7.03 0) | v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 38.58/7.03 int] : ! [v4: int] : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v1) = % 38.58/7.03 v3) | ~ (convergent_lines(v1, v2) = v4) | ~ $i(v2) | ~ $i(v1) | ~ % 38.58/7.03 $i(v0) | ? [v5: any] : ? [v6: any] : (apart_point_and_line(v0, v2) = v6 & % 38.58/7.03 distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0: $i] : ! % 38.58/7.03 [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0, % 38.58/7.03 v2) = v3) | ~ (distinct_lines(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ % 38.58/7.03 $i(v0) | ? [v4: any] : ? [v5: any] : (apart_point_and_line(v0, v1) = v4 & % 38.58/7.03 convergent_lines(v1, v2) = v5 & (v5 = 0 | v4 = 0))) & ! [v0: $i] : ! % 38.58/7.03 [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0, % 38.58/7.03 v1) = v3) | ~ (distinct_lines(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ % 38.58/7.03 $i(v0) | ? [v4: any] : ? [v5: any] : (apart_point_and_line(v0, v2) = v4 & % 38.58/7.03 convergent_lines(v1, v2) = v5 & (v5 = 0 | v4 = 0))) % 38.58/7.03 % 38.58/7.03 (int1) % 38.58/7.04 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, v1) = % 38.58/7.04 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 38.58/7.04 ? [v6: any] : (point(v2) = v6 & line(v1) = v4 & line(v0) = v3 & % 38.58/7.04 convergent_lines(v0, v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | % 38.58/7.04 v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ( ~ (convergent_lines(v0, v1) = % 38.58/7.04 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] : % 38.58/7.04 ? [v5: any] : (point(v4) = v5 & line(v1) = v3 & line(v0) = v2 & % 38.58/7.04 intersection_point(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 % 38.58/7.04 = 0))) % 38.58/7.04 % 38.58/7.04 (oac1) % 38.58/7.05 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~ % 38.58/7.05 (unorthogonal_lines(v1, v2) = v4) | ~ (unorthogonal_lines(v0, v2) = v3) | % 38.58/7.05 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: % 38.58/7.05 any] : ? [v8: any] : (unorthogonal_lines(v0, v1) = v6 & % 38.58/7.05 convergent_lines(v1, v2) = v8 & convergent_lines(v0, v2) = v7 & % 38.58/7.05 convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (v8 = 0 & v4 % 38.58/7.05 = 0) | (v7 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 38.58/7.05 : ! [v3: any] : ! [v4: any] : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~ % 38.58/7.05 (convergent_lines(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 38.58/7.05 [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: any] : % 38.58/7.05 (unorthogonal_lines(v0, v2) = v7 & unorthogonal_lines(v0, v1) = v6 & % 38.58/7.05 convergent_lines(v1, v2) = v8 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = % 38.58/7.05 0) | ~ (v5 = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0)))) & ! [v0: % 38.58/7.05 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~ % 38.58/7.05 (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = v4) | ~ % 38.58/7.05 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] % 38.58/7.05 : ? [v8: any] : (unorthogonal_lines(v1, v2) = v8 & unorthogonal_lines(v0, % 38.58/7.05 v1) = v6 & convergent_lines(v0, v2) = v7 & convergent_lines(v0, v1) = v5 % 38.58/7.05 & ( ~ (v6 = 0) | ~ (v5 = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0)))) & % 38.58/7.05 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] : ( ~ % 38.58/7.05 (convergent_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) = v3) | ~ % 38.58/7.05 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : ? [v7: any] % 38.58/7.05 : ? [v8: any] : (unorthogonal_lines(v1, v2) = v8 & unorthogonal_lines(v0, % 38.58/7.05 v2) = v7 & unorthogonal_lines(v0, v1) = v6 & convergent_lines(v0, v1) = % 38.58/7.05 v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0)))) % 38.58/7.05 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ % 38.58/7.05 (unorthogonal_lines(v1, v2) = v3) | ~ (unorthogonal_lines(v0, v1) = 0) | ~ % 38.58/7.05 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: any] % 38.58/7.05 : ? [v7: any] : (unorthogonal_lines(v0, v2) = v6 & convergent_lines(v1, v2) % 38.58/7.05 = v7 & convergent_lines(v0, v2) = v5 & convergent_lines(v0, v1) = v4 & ( ~ % 38.58/7.05 (v4 = 0) | (v7 = 0 & v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0: $i] : ! % 38.58/7.05 [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v1, v2) = v3) % 38.58/7.05 | ~ (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 38.58/7.05 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 38.58/7.05 (unorthogonal_lines(v0, v2) = v6 & unorthogonal_lines(v0, v1) = v4 & % 38.58/7.05 convergent_lines(v1, v2) = v7 & convergent_lines(v0, v2) = v5 & ( ~ (v4 = % 38.58/7.05 0) | (v7 = 0 & v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0: $i] : ! [v1: % 38.58/7.05 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v2) = v3) | % 38.58/7.05 ~ (unorthogonal_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 38.58/7.05 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 38.58/7.05 (unorthogonal_lines(v1, v2) = v7 & convergent_lines(v1, v2) = v6 & % 38.58/7.05 convergent_lines(v0, v2) = v5 & convergent_lines(v0, v1) = v4 & ( ~ (v4 = % 38.58/7.05 0) | (v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1: % 38.58/7.05 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v2) = v3) | % 38.58/7.05 ~ (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 38.58/7.05 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 38.58/7.05 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v1) = v4 & % 38.58/7.05 convergent_lines(v1, v2) = v6 & convergent_lines(v0, v2) = v5 & ( ~ (v4 = % 38.58/7.05 0) | (v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1: % 38.58/7.05 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ~ % 38.58/7.05 (convergent_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 38.58/7.05 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 38.58/7.05 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v6 & % 38.58/7.05 convergent_lines(v0, v2) = v5 & convergent_lines(v0, v1) = v4 & ( ~ (v4 = % 38.58/7.05 0) | (v7 = 0 & v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0: $i] : ! [v1: % 38.58/7.05 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ~ % 38.58/7.05 (convergent_lines(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 38.58/7.05 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 38.58/7.05 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v5 & % 38.58/7.05 convergent_lines(v1, v2) = v6 & convergent_lines(v0, v1) = v4 & ( ~ (v4 = % 38.58/7.05 0) | (v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0: $i] : ! [v1: % 38.58/7.05 $i] : ! [v2: $i] : ! [v3: any] : ( ~ (convergent_lines(v1, v2) = v3) | ~ % 38.58/7.05 (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: % 38.58/7.05 any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 38.58/7.05 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v6 & % 38.58/7.05 unorthogonal_lines(v0, v1) = v4 & convergent_lines(v0, v2) = v5 & ( ~ (v4 % 38.58/7.05 = 0) | (v7 = 0 & v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0: $i] : ! % 38.58/7.05 [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (convergent_lines(v0, v2) = v3) | % 38.58/7.05 ~ (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 38.58/7.05 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : % 38.58/7.05 (unorthogonal_lines(v1, v2) = v7 & unorthogonal_lines(v0, v2) = v5 & % 38.58/7.05 unorthogonal_lines(v0, v1) = v4 & convergent_lines(v1, v2) = v6 & ( ~ (v4 % 38.58/7.05 = 0) | (v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0)))) % 38.58/7.05 % 38.58/7.05 (function-axioms) % 38.58/7.05 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 38.58/7.05 [v3: $i] : (v1 = v0 | ~ (orthogonal_lines(v3, v2) = v1) | ~ % 38.58/7.05 (orthogonal_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 38.58/7.05 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 38.58/7.06 (incident_point_and_line(v3, v2) = v1) | ~ (incident_point_and_line(v3, v2) % 38.58/7.06 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 38.58/7.06 $i] : ! [v3: $i] : (v1 = v0 | ~ (parallel_lines(v3, v2) = v1) | ~ % 38.58/7.06 (parallel_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 38.58/7.06 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 38.58/7.06 (equal_lines(v3, v2) = v1) | ~ (equal_lines(v3, v2) = v0)) & ! [v0: % 38.58/7.06 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 38.58/7.06 : (v1 = v0 | ~ (equal_points(v3, v2) = v1) | ~ (equal_points(v3, v2) = v0)) % 38.58/7.06 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 38.58/7.06 (orthogonal_through_point(v3, v2) = v1) | ~ (orthogonal_through_point(v3, % 38.58/7.06 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 38.58/7.06 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (unorthogonal_lines(v3, v2) = v1) | % 38.58/7.06 ~ (unorthogonal_lines(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 38.58/7.06 $i] : ! [v3: $i] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~ % 38.58/7.06 (parallel_through_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 38.58/7.06 $i] : ! [v3: $i] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~ % 38.58/7.06 (intersection_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 38.58/7.06 : ! [v3: $i] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~ % 38.58/7.06 (line_connecting(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 38.58/7.06 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 38.58/7.06 (apart_point_and_line(v3, v2) = v1) | ~ (apart_point_and_line(v3, v2) = % 38.58/7.06 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 38.58/7.06 $i] : ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ % 38.58/7.06 (convergent_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 38.58/7.06 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 38.58/7.06 (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0)) & ! [v0: % 38.58/7.06 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 38.58/7.06 : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) = % 38.58/7.06 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 38.58/7.06 $i] : (v1 = v0 | ~ (point(v2) = v1) | ~ (point(v2) = v0)) & ! [v0: % 38.58/7.06 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 38.58/7.06 ~ (line(v2) = v1) | ~ (line(v2) = v0)) % 38.58/7.06 % 38.58/7.06 Further assumptions not needed in the proof: % 38.58/7.06 -------------------------------------------- % 38.58/7.06 a3, a4, a5, apart1, apart2, apart4, apart5, ax6, ceq1, ci1, ci2, coipo1, con1, % 38.58/7.06 couo1, cp1, cp2, occu1, ooc1, ooc2, orth1, ouo1, p1, par1 % 38.58/7.06 % 38.58/7.06 Those formulas are unsatisfiable: % 38.58/7.06 --------------------------------- % 38.58/7.06 % 38.58/7.06 Begin of proof % 38.58/7.06 | % 38.58/7.06 | ALPHA: (ci3) implies: % 38.58/7.06 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (convergent_lines(v0, v1) = 0) | ~ % 38.58/7.06 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) & % 38.58/7.06 | intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v0) = v3 % 38.58/7.06 | & $i(v2))) % 38.58/7.06 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, % 38.58/7.06 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 38.58/7.06 | (apart_point_and_line(v2, v0) = v4 & convergent_lines(v0, v1) = v3 & % 38.58/7.06 | ( ~ (v4 = 0) | ~ (v3 = 0)))) % 38.58/7.06 | % 38.58/7.06 | ALPHA: (ci4) implies: % 38.58/7.06 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (convergent_lines(v0, v1) = 0) | ~ % 38.58/7.06 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) & % 38.58/7.06 | intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v1) = v3 % 38.88/7.06 | & $i(v2))) % 38.88/7.06 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, % 38.88/7.06 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 38.88/7.06 | (apart_point_and_line(v2, v1) = v4 & convergent_lines(v0, v1) = v3 & % 38.88/7.06 | ( ~ (v4 = 0) | ~ (v3 = 0)))) % 38.88/7.06 | % 38.88/7.06 | ALPHA: (cu1) implies: % 38.88/7.06 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 38.88/7.06 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v0, v3) = v5) % 38.88/7.06 | | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_points(v0, % 38.88/7.06 | v1) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 38.88/7.06 | [v6: any] : ? [v7: any] : ? [v8: any] : (apart_point_and_line(v1, % 38.88/7.06 | v3) = v8 & apart_point_and_line(v1, v2) = v7 & distinct_lines(v2, % 38.88/7.06 | v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) % 38.88/7.07 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 38.88/7.07 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = v5) % 38.88/7.07 | | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 38.88/7.07 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? % 38.88/7.07 | [v9: any] : (apart_point_and_line(v1, v3) = v9 & % 38.88/7.07 | apart_point_and_line(v0, v2) = v8 & distinct_lines(v2, v3) = v7 & % 38.88/7.07 | distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 % 38.88/7.07 | | v8 = 0))) % 38.88/7.07 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 38.88/7.07 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) % 38.88/7.07 | | ~ (apart_point_and_line(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 38.88/7.07 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? % 38.88/7.07 | [v9: any] : (apart_point_and_line(v1, v2) = v9 & % 38.88/7.07 | apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 & % 38.88/7.07 | distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 % 38.88/7.07 | | v8 = 0))) % 38.88/7.07 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 38.88/7.07 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) % 38.88/7.07 | | ~ (apart_point_and_line(v1, v2) = v4) | ~ (distinct_points(v0, % 38.88/7.07 | v1) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 38.88/7.07 | [v6: any] : ? [v7: any] : ? [v8: any] : (apart_point_and_line(v0, % 38.88/7.07 | v3) = v8 & apart_point_and_line(v0, v2) = v7 & distinct_lines(v2, % 38.88/7.07 | v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) % 38.88/7.07 | % 38.88/7.07 | ALPHA: (ceq2) implies: % 38.88/7.07 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : % 38.88/7.07 | (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~ % 38.88/7.07 | (distinct_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 38.88/7.07 | ? [v5: int] : ( ~ (v5 = 0) & apart_point_and_line(v0, v1) = v5)) % 38.88/7.07 | % 38.88/7.07 | ALPHA: (ceq3) implies: % 38.88/7.07 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 38.88/7.07 | (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) % 38.88/7.07 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | distinct_lines(v1, v2) = 0) % 38.88/7.07 | % 38.88/7.07 | ALPHA: (cup1) implies: % 38.88/7.07 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] % 38.88/7.07 | : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~ % 38.88/7.07 | (apart_point_and_line(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 38.88/7.07 | $i(v0) | ? [v5: any] : ? [v6: any] : (convergent_lines(v1, v2) = % 38.88/7.07 | v6 & distinct_lines(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) % 38.88/7.07 | % 38.88/7.07 | ALPHA: (oac1) implies: % 38.88/7.07 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ % 38.88/7.07 | (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) % 38.88/7.07 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : % 38.88/7.07 | ? [v6: any] : ? [v7: any] : (unorthogonal_lines(v1, v2) = v7 & % 38.88/7.07 | unorthogonal_lines(v0, v2) = v5 & unorthogonal_lines(v0, v1) = v4 % 38.88/7.07 | & convergent_lines(v1, v2) = v6 & ( ~ (v4 = 0) | (v7 = 0 & v6 = 0) % 38.88/7.07 | | (v5 = 0 & v3 = 0)))) % 38.88/7.07 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ % 38.88/7.07 | (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = % 38.88/7.07 | 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: % 38.88/7.07 | any] : ? [v6: any] : ? [v7: any] : (unorthogonal_lines(v1, v2) = % 38.88/7.07 | v7 & unorthogonal_lines(v0, v1) = v4 & convergent_lines(v1, v2) = % 38.88/7.07 | v6 & convergent_lines(v0, v2) = v5 & ( ~ (v4 = 0) | (v7 = 0 & v6 = % 38.88/7.07 | 0) | (v5 = 0 & v3 = 0)))) % 38.88/7.07 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] % 38.88/7.07 | : ( ~ (convergent_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) = % 38.88/7.07 | v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: % 38.88/7.07 | any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v1, v2) = % 38.88/7.07 | v8 & unorthogonal_lines(v0, v2) = v7 & unorthogonal_lines(v0, v1) % 38.88/7.07 | = v6 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) % 38.88/7.07 | | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0)))) % 38.88/7.07 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] % 38.88/7.07 | : ( ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2) % 38.88/7.07 | = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: % 38.88/7.07 | any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v1, v2) = % 38.88/7.07 | v8 & unorthogonal_lines(v0, v1) = v6 & convergent_lines(v0, v2) = % 38.88/7.07 | v7 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | % 38.88/7.07 | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0)))) % 38.88/7.08 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] % 38.88/7.08 | : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) % 38.88/7.08 | = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: % 38.88/7.08 | any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v0, v2) = % 38.88/7.08 | v7 & unorthogonal_lines(v0, v1) = v6 & convergent_lines(v1, v2) = % 38.88/7.08 | v8 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | % 38.88/7.08 | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0)))) % 38.88/7.08 | (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] % 38.88/7.08 | : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~ (unorthogonal_lines(v0, % 38.88/7.08 | v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : % 38.88/7.08 | ? [v6: any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v0, % 38.88/7.08 | v1) = v6 & convergent_lines(v1, v2) = v8 & convergent_lines(v0, % 38.88/7.08 | v2) = v7 & convergent_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 % 38.88/7.08 | = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0)))) % 38.88/7.08 | % 38.88/7.08 | ALPHA: (cotno1) implies: % 38.88/7.08 | (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ % 38.88/7.08 | (convergent_lines(v1, v2) = 0) | ~ (convergent_lines(v0, v2) = v3) % 38.88/7.08 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : % 38.88/7.08 | ? [v6: any] : ? [v7: any] : (unorthogonal_lines(v1, v2) = v7 & % 38.88/7.08 | unorthogonal_lines(v0, v2) = v6 & unorthogonal_lines(v0, v1) = v5 % 38.88/7.08 | & convergent_lines(v0, v1) = v4 & ( ~ (v7 = 0) | (v6 = 0 & v3 = 0) % 38.88/7.08 | | (v5 = 0 & v4 = 0)))) % 38.88/7.08 | (19) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] % 38.88/7.08 | : ( ~ (convergent_lines(v0, v2) = v4) | ~ (convergent_lines(v0, v1) = % 38.88/7.08 | v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: % 38.88/7.08 | any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v1, v2) = % 38.88/7.08 | v8 & unorthogonal_lines(v0, v2) = v6 & unorthogonal_lines(v0, v1) % 38.88/7.08 | = v5 & convergent_lines(v1, v2) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) % 38.88/7.08 | | (v6 = 0 & v4 = 0) | (v5 = 0 & v3 = 0)))) % 38.88/7.08 | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] % 38.88/7.08 | : ( ~ (unorthogonal_lines(v0, v2) = v4) | ~ (convergent_lines(v0, v1) % 38.88/7.08 | = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: % 38.88/7.08 | any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v1, v2) = % 38.88/7.08 | v8 & unorthogonal_lines(v0, v1) = v5 & convergent_lines(v1, v2) = % 38.88/7.08 | v7 & convergent_lines(v0, v2) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | % 38.88/7.08 | (v6 = 0 & v4 = 0) | (v5 = 0 & v3 = 0)))) % 38.88/7.08 | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ! [v4: any] % 38.88/7.08 | : ( ~ (unorthogonal_lines(v0, v2) = v4) | ~ (unorthogonal_lines(v0, % 38.88/7.08 | v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : % 38.88/7.08 | ? [v6: any] : ? [v7: any] : ? [v8: any] : (unorthogonal_lines(v1, % 38.88/7.08 | v2) = v8 & convergent_lines(v1, v2) = v7 & convergent_lines(v0, % 38.88/7.08 | v2) = v6 & convergent_lines(v0, v1) = v5 & ( ~ (v8 = 0) | ~ (v7 % 38.88/7.08 | = 0) | (v6 = 0 & v4 = 0) | (v5 = 0 & v3 = 0)))) % 38.88/7.08 | % 38.88/7.08 | ALPHA: (int1) implies: % 38.88/7.08 | (22) ! [v0: $i] : ! [v1: $i] : ( ~ (convergent_lines(v0, v1) = 0) | ~ % 38.88/7.08 | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] : ? % 38.88/7.08 | [v5: any] : (point(v4) = v5 & line(v1) = v3 & line(v0) = v2 & % 38.88/7.08 | intersection_point(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = % 38.88/7.08 | 0) | v5 = 0))) % 38.88/7.08 | (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, % 38.88/7.08 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] % 38.88/7.08 | : ? [v5: any] : ? [v6: any] : (point(v2) = v6 & line(v1) = v4 & % 38.88/7.08 | line(v0) = v3 & convergent_lines(v0, v1) = v5 & ( ~ (v5 = 0) | ~ % 38.88/7.08 | (v4 = 0) | ~ (v3 = 0) | v6 = 0))) % 38.88/7.08 | % 38.88/7.08 | ALPHA: (ax1) implies: % 38.88/7.08 | (24) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 38.88/7.08 | (equal_points(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | % 38.88/7.08 | distinct_points(v0, v1) = 0) % 38.88/7.08 | % 38.88/7.08 | ALPHA: (ax2) implies: % 38.88/7.08 | (25) ! [v0: $i] : ! [v1: $i] : ( ~ (equal_lines(v0, v1) = 0) | ~ $i(v1) % 38.88/7.08 | | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & distinct_lines(v0, v1) = % 38.88/7.08 | v2)) % 38.88/7.08 | % 38.88/7.08 | ALPHA: (function-axioms) implies: % 38.88/7.08 | (26) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 38.88/7.08 | : ! [v3: $i] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ % 38.88/7.08 | (distinct_points(v3, v2) = v0)) % 38.88/7.08 | (27) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 38.88/7.08 | : ! [v3: $i] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ % 38.88/7.08 | (distinct_lines(v3, v2) = v0)) % 38.88/7.08 | (28) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 38.88/7.08 | : ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ % 38.88/7.08 | (convergent_lines(v3, v2) = v0)) % 38.88/7.08 | (29) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 38.88/7.08 | : ! [v3: $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ % 38.88/7.08 | (apart_point_and_line(v3, v2) = v0)) % 38.88/7.09 | (30) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 38.88/7.09 | (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = % 38.88/7.09 | v0)) % 38.88/7.09 | (31) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 38.88/7.09 | : ! [v3: $i] : (v1 = v0 | ~ (unorthogonal_lines(v3, v2) = v1) | ~ % 38.88/7.09 | (unorthogonal_lines(v3, v2) = v0)) % 38.88/7.09 | % 38.88/7.09 | DELTA: instantiating (con) with fresh symbols all_38_0, all_38_1, all_38_2, % 38.88/7.09 | all_38_3, all_38_4, all_38_5, all_38_6 gives: % 38.88/7.09 | (32) equal_lines(all_38_5, all_38_4) = 0 & equal_points(all_38_2, all_38_1) % 38.88/7.09 | = all_38_0 & intersection_point(all_38_6, all_38_4) = all_38_1 & % 38.88/7.09 | intersection_point(all_38_6, all_38_5) = all_38_2 & % 38.88/7.09 | convergent_lines(all_38_6, all_38_4) = all_38_3 & % 38.88/7.09 | convergent_lines(all_38_6, all_38_5) = 0 & $i(all_38_1) & $i(all_38_2) % 38.88/7.09 | & $i(all_38_4) & $i(all_38_5) & $i(all_38_6) & ( ~ (all_38_0 = 0) | ~ % 38.88/7.09 | (all_38_3 = 0)) % 38.88/7.09 | % 38.88/7.09 | ALPHA: (32) implies: % 38.88/7.09 | (33) $i(all_38_6) % 38.88/7.09 | (34) $i(all_38_5) % 38.88/7.09 | (35) $i(all_38_4) % 38.88/7.09 | (36) $i(all_38_2) % 38.88/7.09 | (37) $i(all_38_1) % 38.88/7.09 | (38) convergent_lines(all_38_6, all_38_5) = 0 % 38.88/7.09 | (39) convergent_lines(all_38_6, all_38_4) = all_38_3 % 38.88/7.09 | (40) intersection_point(all_38_6, all_38_5) = all_38_2 % 38.88/7.09 | (41) intersection_point(all_38_6, all_38_4) = all_38_1 % 38.88/7.09 | (42) equal_points(all_38_2, all_38_1) = all_38_0 % 38.88/7.09 | (43) equal_lines(all_38_5, all_38_4) = 0 % 38.88/7.09 | (44) ~ (all_38_0 = 0) | ~ (all_38_3 = 0) % 38.88/7.09 | % 38.88/7.09 | GROUND_INST: instantiating (12) with all_38_6, all_38_5, all_38_5, 0, % 38.88/7.09 | simplifying with (33), (34), (38) gives: % 38.88/7.09 | (45) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 38.88/7.09 | (unorthogonal_lines(all_38_5, all_38_5) = v3 & % 38.88/7.09 | unorthogonal_lines(all_38_6, all_38_5) = v1 & % 38.88/7.09 | unorthogonal_lines(all_38_6, all_38_5) = v0 & % 38.88/7.09 | convergent_lines(all_38_5, all_38_5) = v2 & ( ~ (v0 = 0) | v1 = 0 | % 38.88/7.09 | (v3 = 0 & v2 = 0))) % 38.88/7.09 | % 38.88/7.09 | GROUND_INST: instantiating (18) with all_38_6, all_38_6, all_38_5, 0, % 38.88/7.09 | simplifying with (33), (34), (38) gives: % 38.88/7.09 | (46) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 38.88/7.09 | (unorthogonal_lines(all_38_6, all_38_5) = v3 & % 38.88/7.09 | unorthogonal_lines(all_38_6, all_38_5) = v2 & % 38.88/7.09 | unorthogonal_lines(all_38_6, all_38_6) = v1 & % 38.88/7.09 | convergent_lines(all_38_6, all_38_6) = v0 & ( ~ (v3 = 0) | v2 = 0 | % 38.88/7.09 | (v1 = 0 & v0 = 0))) % 38.88/7.09 | % 38.88/7.09 | GROUND_INST: instantiating (14) with all_38_6, all_38_6, all_38_5, 0, 0, % 38.88/7.09 | simplifying with (33), (34), (38) gives: % 38.88/7.09 | (47) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 38.88/7.09 | (unorthogonal_lines(all_38_6, all_38_5) = v3 & % 38.88/7.09 | unorthogonal_lines(all_38_6, all_38_5) = v2 & % 38.88/7.09 | unorthogonal_lines(all_38_6, all_38_6) = v1 & % 38.88/7.09 | convergent_lines(all_38_6, all_38_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 38.88/7.09 | 0) | v3 = 0 | v2 = 0)) % 38.88/7.09 | % 38.88/7.09 | GROUND_INST: instantiating (19) with all_38_6, all_38_5, all_38_5, 0, 0, % 38.88/7.09 | simplifying with (33), (34), (38) gives: % 38.88/7.09 | (48) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 38.88/7.09 | (unorthogonal_lines(all_38_5, all_38_5) = v3 & % 38.88/7.09 | unorthogonal_lines(all_38_6, all_38_5) = v1 & % 38.88/7.09 | unorthogonal_lines(all_38_6, all_38_5) = v0 & % 38.88/7.09 | convergent_lines(all_38_5, all_38_5) = v2 & ( ~ (v3 = 0) | ~ (v2 = % 38.88/7.09 | 0) | v1 = 0 | v0 = 0)) % 38.88/7.09 | % 38.88/7.09 | GROUND_INST: instantiating (22) with all_38_6, all_38_5, simplifying with % 38.88/7.09 | (33), (34), (38) gives: % 38.88/7.09 | (49) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : (point(v2) % 38.88/7.09 | = v3 & line(all_38_5) = v1 & line(all_38_6) = v0 & % 38.88/7.09 | intersection_point(all_38_6, all_38_5) = v2 & $i(v2) & ( ~ (v1 = 0) % 38.88/7.09 | | ~ (v0 = 0) | v3 = 0)) % 38.88/7.09 | % 38.88/7.09 | GROUND_INST: instantiating (3) with all_38_6, all_38_5, simplifying with (33), % 38.88/7.09 | (34), (38) gives: % 38.88/7.09 | (50) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 38.88/7.09 | intersection_point(all_38_6, all_38_5) = v0 & % 38.88/7.09 | apart_point_and_line(v0, all_38_5) = v1 & $i(v0)) % 38.88/7.09 | % 38.88/7.09 | GROUND_INST: instantiating (1) with all_38_6, all_38_5, simplifying with (33), % 38.88/7.09 | (34), (38) gives: % 38.88/7.09 | (51) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 38.88/7.09 | intersection_point(all_38_6, all_38_5) = v0 & % 38.88/7.09 | apart_point_and_line(v0, all_38_6) = v1 & $i(v0)) % 38.88/7.09 | % 38.88/7.09 | GROUND_INST: instantiating (14) with all_38_6, all_38_6, all_38_4, all_38_3, % 38.88/7.09 | all_38_3, simplifying with (33), (35), (39) gives: % 38.88/7.09 | (52) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 38.88/7.09 | (unorthogonal_lines(all_38_6, all_38_4) = v3 & % 38.88/7.09 | unorthogonal_lines(all_38_6, all_38_4) = v2 & % 38.88/7.09 | unorthogonal_lines(all_38_6, all_38_6) = v1 & % 38.88/7.09 | convergent_lines(all_38_6, all_38_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 38.88/7.09 | 0) | (v3 = 0 & all_38_3 = 0) | (v2 = 0 & all_38_3 = 0))) % 38.88/7.09 | % 38.88/7.10 | GROUND_INST: instantiating (19) with all_38_6, all_38_4, all_38_4, all_38_3, % 38.88/7.10 | all_38_3, simplifying with (33), (35), (39) gives: % 38.88/7.10 | (53) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 38.88/7.10 | (unorthogonal_lines(all_38_4, all_38_4) = v3 & % 38.88/7.10 | unorthogonal_lines(all_38_6, all_38_4) = v1 & % 38.88/7.10 | unorthogonal_lines(all_38_6, all_38_4) = v0 & % 38.88/7.10 | convergent_lines(all_38_4, all_38_4) = v2 & ( ~ (v3 = 0) | ~ (v2 = % 38.88/7.10 | 0) | (v1 = 0 & all_38_3 = 0) | (v0 = 0 & all_38_3 = 0))) % 38.88/7.10 | % 38.88/7.10 | GROUND_INST: instantiating (10) with all_38_6, all_38_5, all_38_4, all_38_3, % 38.88/7.10 | simplifying with (33), (34), (35), (38), (39) gives: % 38.88/7.10 | (54) all_38_3 = 0 | distinct_lines(all_38_5, all_38_4) = 0 % 38.88/7.10 | % 38.88/7.10 | GROUND_INST: instantiating (12) with all_38_6, all_38_5, all_38_4, all_38_3, % 38.88/7.10 | simplifying with (33), (34), (35), (38), (39) gives: % 38.88/7.10 | (55) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 38.88/7.10 | (unorthogonal_lines(all_38_5, all_38_4) = v3 & % 38.88/7.10 | unorthogonal_lines(all_38_6, all_38_4) = v1 & % 38.88/7.10 | unorthogonal_lines(all_38_6, all_38_5) = v0 & % 38.88/7.10 | convergent_lines(all_38_5, all_38_4) = v2 & ( ~ (v0 = 0) | (v3 = 0 & % 38.88/7.10 | v2 = 0) | (v1 = 0 & all_38_3 = 0))) % 38.88/7.10 | % 38.88/7.10 | GROUND_INST: instantiating (19) with all_38_6, all_38_5, all_38_4, 0, % 38.88/7.10 | all_38_3, simplifying with (33), (34), (35), (38), (39) gives: % 38.88/7.10 | (56) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 38.88/7.10 | (unorthogonal_lines(all_38_5, all_38_4) = v3 & % 38.88/7.10 | unorthogonal_lines(all_38_6, all_38_4) = v1 & % 38.88/7.10 | unorthogonal_lines(all_38_6, all_38_5) = v0 & % 38.88/7.10 | convergent_lines(all_38_5, all_38_4) = v2 & ( ~ (v3 = 0) | ~ (v2 = % 38.88/7.10 | 0) | v0 = 0 | (v1 = 0 & all_38_3 = 0))) % 38.88/7.10 | % 38.88/7.10 | GROUND_INST: instantiating (19) with all_38_6, all_38_4, all_38_5, all_38_3, % 38.88/7.10 | 0, simplifying with (33), (34), (35), (38), (39) gives: % 38.88/7.10 | (57) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 38.88/7.10 | (unorthogonal_lines(all_38_4, all_38_5) = v3 & % 38.88/7.10 | unorthogonal_lines(all_38_6, all_38_4) = v0 & % 38.88/7.10 | unorthogonal_lines(all_38_6, all_38_5) = v1 & % 38.88/7.10 | convergent_lines(all_38_4, all_38_5) = v2 & ( ~ (v3 = 0) | ~ (v2 = % 38.88/7.10 | 0) | v1 = 0 | (v0 = 0 & all_38_3 = 0))) % 38.88/7.10 | % 38.88/7.10 | GROUND_INST: instantiating (23) with all_38_6, all_38_5, all_38_2, simplifying % 38.88/7.10 | with (33), (34), (40) gives: % 38.88/7.10 | (58) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 38.88/7.10 | (point(all_38_2) = v3 & line(all_38_5) = v1 & line(all_38_6) = v0 & % 38.88/7.10 | convergent_lines(all_38_6, all_38_5) = v2 & ( ~ (v2 = 0) | ~ (v1 = % 38.88/7.10 | 0) | ~ (v0 = 0) | v3 = 0)) % 38.88/7.10 | % 38.88/7.10 | GROUND_INST: instantiating (4) with all_38_6, all_38_5, all_38_2, simplifying % 38.88/7.10 | with (33), (34), (40) gives: % 38.88/7.10 | (59) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_2, % 38.88/7.10 | all_38_5) = v1 & convergent_lines(all_38_6, all_38_5) = v0 & ( ~ % 38.88/7.10 | (v1 = 0) | ~ (v0 = 0))) % 38.88/7.10 | % 38.88/7.10 | GROUND_INST: instantiating (2) with all_38_6, all_38_5, all_38_2, simplifying % 38.88/7.10 | with (33), (34), (40) gives: % 38.88/7.10 | (60) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_2, % 38.88/7.10 | all_38_6) = v1 & convergent_lines(all_38_6, all_38_5) = v0 & ( ~ % 38.88/7.10 | (v1 = 0) | ~ (v0 = 0))) % 38.88/7.10 | % 38.88/7.10 | GROUND_INST: instantiating (23) with all_38_6, all_38_4, all_38_1, simplifying % 38.88/7.10 | with (33), (35), (41) gives: % 38.88/7.10 | (61) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 38.88/7.10 | (point(all_38_1) = v3 & line(all_38_4) = v1 & line(all_38_6) = v0 & % 38.88/7.10 | convergent_lines(all_38_6, all_38_4) = v2 & ( ~ (v2 = 0) | ~ (v1 = % 38.88/7.10 | 0) | ~ (v0 = 0) | v3 = 0)) % 38.88/7.10 | % 38.88/7.10 | GROUND_INST: instantiating (4) with all_38_6, all_38_4, all_38_1, simplifying % 38.88/7.10 | with (33), (35), (41) gives: % 38.88/7.10 | (62) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_1, % 38.88/7.10 | all_38_4) = v1 & convergent_lines(all_38_6, all_38_4) = v0 & ( ~ % 38.88/7.10 | (v1 = 0) | ~ (v0 = 0))) % 38.88/7.10 | % 38.88/7.10 | GROUND_INST: instantiating (2) with all_38_6, all_38_4, all_38_1, simplifying % 38.88/7.10 | with (33), (35), (41) gives: % 38.88/7.10 | (63) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_1, % 38.88/7.10 | all_38_6) = v1 & convergent_lines(all_38_6, all_38_4) = v0 & ( ~ % 38.88/7.10 | (v1 = 0) | ~ (v0 = 0))) % 38.88/7.10 | % 38.88/7.10 | GROUND_INST: instantiating (24) with all_38_2, all_38_1, all_38_0, simplifying % 38.88/7.10 | with (36), (37), (42) gives: % 38.88/7.10 | (64) all_38_0 = 0 | distinct_points(all_38_2, all_38_1) = 0 % 38.88/7.10 | % 38.88/7.10 | GROUND_INST: instantiating (25) with all_38_5, all_38_4, simplifying with % 38.88/7.10 | (34), (35), (43) gives: % 38.88/7.10 | (65) ? [v0: int] : ( ~ (v0 = 0) & distinct_lines(all_38_5, all_38_4) = v0) % 38.88/7.10 | % 38.88/7.10 | DELTA: instantiating (65) with fresh symbol all_45_0 gives: % 38.88/7.10 | (66) ~ (all_45_0 = 0) & distinct_lines(all_38_5, all_38_4) = all_45_0 % 38.88/7.10 | % 38.88/7.10 | ALPHA: (66) implies: % 38.88/7.10 | (67) ~ (all_45_0 = 0) % 38.88/7.10 | (68) distinct_lines(all_38_5, all_38_4) = all_45_0 % 38.88/7.10 | % 38.88/7.10 | DELTA: instantiating (51) with fresh symbols all_49_0, all_49_1 gives: % 38.88/7.10 | (69) ~ (all_49_0 = 0) & intersection_point(all_38_6, all_38_5) = all_49_1 % 38.88/7.10 | & apart_point_and_line(all_49_1, all_38_6) = all_49_0 & $i(all_49_1) % 38.88/7.10 | % 38.88/7.10 | ALPHA: (69) implies: % 38.88/7.10 | (70) $i(all_49_1) % 38.88/7.10 | (71) apart_point_and_line(all_49_1, all_38_6) = all_49_0 % 38.88/7.11 | (72) intersection_point(all_38_6, all_38_5) = all_49_1 % 38.88/7.11 | % 38.88/7.11 | DELTA: instantiating (63) with fresh symbols all_51_0, all_51_1 gives: % 38.88/7.11 | (73) apart_point_and_line(all_38_1, all_38_6) = all_51_0 & % 38.88/7.11 | convergent_lines(all_38_6, all_38_4) = all_51_1 & ( ~ (all_51_0 = 0) | % 38.88/7.11 | ~ (all_51_1 = 0)) % 38.88/7.11 | % 38.88/7.11 | ALPHA: (73) implies: % 38.88/7.11 | (74) convergent_lines(all_38_6, all_38_4) = all_51_1 % 38.88/7.11 | (75) apart_point_and_line(all_38_1, all_38_6) = all_51_0 % 38.88/7.11 | (76) ~ (all_51_0 = 0) | ~ (all_51_1 = 0) % 38.88/7.11 | % 38.88/7.11 | DELTA: instantiating (50) with fresh symbols all_53_0, all_53_1 gives: % 38.88/7.11 | (77) ~ (all_53_0 = 0) & intersection_point(all_38_6, all_38_5) = all_53_1 % 38.88/7.11 | & apart_point_and_line(all_53_1, all_38_5) = all_53_0 & $i(all_53_1) % 38.88/7.11 | % 38.88/7.11 | ALPHA: (77) implies: % 38.88/7.11 | (78) apart_point_and_line(all_53_1, all_38_5) = all_53_0 % 38.88/7.11 | (79) intersection_point(all_38_6, all_38_5) = all_53_1 % 38.88/7.11 | % 38.88/7.11 | DELTA: instantiating (60) with fresh symbols all_55_0, all_55_1 gives: % 38.88/7.11 | (80) apart_point_and_line(all_38_2, all_38_6) = all_55_0 & % 38.88/7.11 | convergent_lines(all_38_6, all_38_5) = all_55_1 & ( ~ (all_55_0 = 0) | % 38.88/7.11 | ~ (all_55_1 = 0)) % 38.88/7.11 | % 38.88/7.11 | ALPHA: (80) implies: % 38.88/7.11 | (81) convergent_lines(all_38_6, all_38_5) = all_55_1 % 38.88/7.11 | (82) apart_point_and_line(all_38_2, all_38_6) = all_55_0 % 38.88/7.11 | (83) ~ (all_55_0 = 0) | ~ (all_55_1 = 0) % 38.88/7.11 | % 38.88/7.11 | DELTA: instantiating (62) with fresh symbols all_57_0, all_57_1 gives: % 38.88/7.11 | (84) apart_point_and_line(all_38_1, all_38_4) = all_57_0 & % 38.88/7.11 | convergent_lines(all_38_6, all_38_4) = all_57_1 & ( ~ (all_57_0 = 0) | % 38.88/7.11 | ~ (all_57_1 = 0)) % 38.88/7.11 | % 38.88/7.11 | ALPHA: (84) implies: % 38.88/7.11 | (85) convergent_lines(all_38_6, all_38_4) = all_57_1 % 38.88/7.11 | (86) apart_point_and_line(all_38_1, all_38_4) = all_57_0 % 38.88/7.11 | (87) ~ (all_57_0 = 0) | ~ (all_57_1 = 0) % 38.88/7.11 | % 38.88/7.11 | DELTA: instantiating (59) with fresh symbols all_59_0, all_59_1 gives: % 38.88/7.11 | (88) apart_point_and_line(all_38_2, all_38_5) = all_59_0 & % 38.88/7.11 | convergent_lines(all_38_6, all_38_5) = all_59_1 & ( ~ (all_59_0 = 0) | % 38.88/7.11 | ~ (all_59_1 = 0)) % 38.88/7.11 | % 38.88/7.11 | ALPHA: (88) implies: % 38.88/7.11 | (89) convergent_lines(all_38_6, all_38_5) = all_59_1 % 38.88/7.11 | (90) apart_point_and_line(all_38_2, all_38_5) = all_59_0 % 38.88/7.11 | (91) ~ (all_59_0 = 0) | ~ (all_59_1 = 0) % 38.88/7.11 | % 38.88/7.11 | DELTA: instantiating (61) with fresh symbols all_61_0, all_61_1, all_61_2, % 38.88/7.11 | all_61_3 gives: % 38.88/7.11 | (92) point(all_38_1) = all_61_0 & line(all_38_4) = all_61_2 & % 38.88/7.11 | line(all_38_6) = all_61_3 & convergent_lines(all_38_6, all_38_4) = % 38.88/7.11 | all_61_1 & ( ~ (all_61_1 = 0) | ~ (all_61_2 = 0) | ~ (all_61_3 = 0) % 38.88/7.11 | | all_61_0 = 0) % 38.88/7.11 | % 38.88/7.11 | ALPHA: (92) implies: % 38.88/7.11 | (93) convergent_lines(all_38_6, all_38_4) = all_61_1 % 38.88/7.11 | % 38.88/7.11 | DELTA: instantiating (58) with fresh symbols all_63_0, all_63_1, all_63_2, % 38.88/7.11 | all_63_3 gives: % 38.88/7.11 | (94) point(all_38_2) = all_63_0 & line(all_38_5) = all_63_2 & % 38.88/7.11 | line(all_38_6) = all_63_3 & convergent_lines(all_38_6, all_38_5) = % 38.88/7.11 | all_63_1 & ( ~ (all_63_1 = 0) | ~ (all_63_2 = 0) | ~ (all_63_3 = 0) % 38.88/7.11 | | all_63_0 = 0) % 38.88/7.11 | % 38.88/7.11 | ALPHA: (94) implies: % 38.88/7.11 | (95) convergent_lines(all_38_6, all_38_5) = all_63_1 % 38.88/7.11 | % 38.88/7.11 | DELTA: instantiating (47) with fresh symbols all_65_0, all_65_1, all_65_2, % 38.88/7.11 | all_65_3 gives: % 38.88/7.11 | (96) unorthogonal_lines(all_38_6, all_38_5) = all_65_0 & % 38.88/7.11 | unorthogonal_lines(all_38_6, all_38_5) = all_65_1 & % 38.88/7.11 | unorthogonal_lines(all_38_6, all_38_6) = all_65_2 & % 38.88/7.11 | convergent_lines(all_38_6, all_38_6) = all_65_3 & ( ~ (all_65_2 = 0) | % 38.88/7.11 | ~ (all_65_3 = 0) | all_65_0 = 0 | all_65_1 = 0) % 38.88/7.11 | % 38.88/7.11 | ALPHA: (96) implies: % 38.88/7.11 | (97) convergent_lines(all_38_6, all_38_6) = all_65_3 % 38.88/7.11 | (98) unorthogonal_lines(all_38_6, all_38_6) = all_65_2 % 38.88/7.11 | (99) unorthogonal_lines(all_38_6, all_38_5) = all_65_1 % 38.88/7.11 | (100) unorthogonal_lines(all_38_6, all_38_5) = all_65_0 % 38.88/7.11 | % 38.88/7.11 | DELTA: instantiating (46) with fresh symbols all_67_0, all_67_1, all_67_2, % 38.88/7.11 | all_67_3 gives: % 38.88/7.11 | (101) unorthogonal_lines(all_38_6, all_38_5) = all_67_0 & % 38.88/7.11 | unorthogonal_lines(all_38_6, all_38_5) = all_67_1 & % 38.88/7.11 | unorthogonal_lines(all_38_6, all_38_6) = all_67_2 & % 38.88/7.11 | convergent_lines(all_38_6, all_38_6) = all_67_3 & ( ~ (all_67_0 = 0) % 38.88/7.11 | | all_67_1 = 0 | (all_67_2 = 0 & all_67_3 = 0)) % 38.88/7.11 | % 38.88/7.11 | ALPHA: (101) implies: % 38.88/7.11 | (102) convergent_lines(all_38_6, all_38_6) = all_67_3 % 38.88/7.11 | (103) unorthogonal_lines(all_38_6, all_38_6) = all_67_2 % 38.88/7.11 | (104) unorthogonal_lines(all_38_6, all_38_5) = all_67_1 % 38.88/7.11 | (105) unorthogonal_lines(all_38_6, all_38_5) = all_67_0 % 38.88/7.11 | % 38.88/7.11 | DELTA: instantiating (49) with fresh symbols all_69_0, all_69_1, all_69_2, % 38.88/7.11 | all_69_3 gives: % 38.88/7.11 | (106) point(all_69_1) = all_69_0 & line(all_38_5) = all_69_2 & % 38.88/7.11 | line(all_38_6) = all_69_3 & intersection_point(all_38_6, all_38_5) = % 38.88/7.11 | all_69_1 & $i(all_69_1) & ( ~ (all_69_2 = 0) | ~ (all_69_3 = 0) | % 38.88/7.11 | all_69_0 = 0) % 38.88/7.11 | % 38.88/7.11 | ALPHA: (106) implies: % 38.88/7.11 | (107) intersection_point(all_38_6, all_38_5) = all_69_1 % 38.88/7.11 | % 38.88/7.11 | DELTA: instantiating (48) with fresh symbols all_71_0, all_71_1, all_71_2, % 38.88/7.11 | all_71_3 gives: % 38.88/7.11 | (108) unorthogonal_lines(all_38_5, all_38_5) = all_71_0 & % 38.88/7.11 | unorthogonal_lines(all_38_6, all_38_5) = all_71_2 & % 38.88/7.11 | unorthogonal_lines(all_38_6, all_38_5) = all_71_3 & % 38.88/7.11 | convergent_lines(all_38_5, all_38_5) = all_71_1 & ( ~ (all_71_0 = 0) % 38.88/7.11 | | ~ (all_71_1 = 0) | all_71_2 = 0 | all_71_3 = 0) % 38.88/7.11 | % 38.88/7.11 | ALPHA: (108) implies: % 38.88/7.11 | (109) unorthogonal_lines(all_38_6, all_38_5) = all_71_3 % 38.88/7.11 | (110) unorthogonal_lines(all_38_6, all_38_5) = all_71_2 % 38.88/7.11 | % 38.88/7.11 | DELTA: instantiating (45) with fresh symbols all_73_0, all_73_1, all_73_2, % 38.88/7.11 | all_73_3 gives: % 38.88/7.11 | (111) unorthogonal_lines(all_38_5, all_38_5) = all_73_0 & % 38.88/7.11 | unorthogonal_lines(all_38_6, all_38_5) = all_73_2 & % 38.88/7.11 | unorthogonal_lines(all_38_6, all_38_5) = all_73_3 & % 38.88/7.11 | convergent_lines(all_38_5, all_38_5) = all_73_1 & ( ~ (all_73_3 = 0) % 38.88/7.11 | | all_73_2 = 0 | (all_73_0 = 0 & all_73_1 = 0)) % 38.88/7.11 | % 38.88/7.11 | ALPHA: (111) implies: % 38.88/7.11 | (112) unorthogonal_lines(all_38_6, all_38_5) = all_73_3 % 38.88/7.11 | (113) unorthogonal_lines(all_38_6, all_38_5) = all_73_2 % 38.88/7.11 | % 38.88/7.11 | DELTA: instantiating (57) with fresh symbols all_75_0, all_75_1, all_75_2, % 38.88/7.11 | all_75_3 gives: % 38.88/7.11 | (114) unorthogonal_lines(all_38_4, all_38_5) = all_75_0 & % 38.88/7.11 | unorthogonal_lines(all_38_6, all_38_4) = all_75_3 & % 38.88/7.11 | unorthogonal_lines(all_38_6, all_38_5) = all_75_2 & % 38.88/7.11 | convergent_lines(all_38_4, all_38_5) = all_75_1 & ( ~ (all_75_0 = 0) % 38.88/7.11 | | ~ (all_75_1 = 0) | all_75_2 = 0 | (all_75_3 = 0 & all_38_3 = 0)) % 38.88/7.11 | % 38.88/7.11 | ALPHA: (114) implies: % 38.88/7.11 | (115) unorthogonal_lines(all_38_6, all_38_5) = all_75_2 % 38.88/7.11 | (116) unorthogonal_lines(all_38_6, all_38_4) = all_75_3 % 38.88/7.11 | % 38.88/7.11 | DELTA: instantiating (56) with fresh symbols all_77_0, all_77_1, all_77_2, % 38.88/7.11 | all_77_3 gives: % 38.88/7.11 | (117) unorthogonal_lines(all_38_5, all_38_4) = all_77_0 & % 38.88/7.11 | unorthogonal_lines(all_38_6, all_38_4) = all_77_2 & % 38.88/7.11 | unorthogonal_lines(all_38_6, all_38_5) = all_77_3 & % 38.88/7.11 | convergent_lines(all_38_5, all_38_4) = all_77_1 & ( ~ (all_77_0 = 0) % 38.88/7.11 | | ~ (all_77_1 = 0) | all_77_3 = 0 | (all_77_2 = 0 & all_38_3 = 0)) % 38.88/7.11 | % 38.88/7.11 | ALPHA: (117) implies: % 38.88/7.11 | (118) unorthogonal_lines(all_38_6, all_38_5) = all_77_3 % 38.88/7.11 | (119) unorthogonal_lines(all_38_6, all_38_4) = all_77_2 % 38.88/7.11 | % 38.88/7.11 | DELTA: instantiating (55) with fresh symbols all_79_0, all_79_1, all_79_2, % 38.88/7.11 | all_79_3 gives: % 38.88/7.12 | (120) unorthogonal_lines(all_38_5, all_38_4) = all_79_0 & % 38.88/7.12 | unorthogonal_lines(all_38_6, all_38_4) = all_79_2 & % 38.88/7.12 | unorthogonal_lines(all_38_6, all_38_5) = all_79_3 & % 38.88/7.12 | convergent_lines(all_38_5, all_38_4) = all_79_1 & ( ~ (all_79_3 = 0) % 38.88/7.12 | | (all_79_0 = 0 & all_79_1 = 0) | (all_79_2 = 0 & all_38_3 = 0)) % 38.88/7.12 | % 38.88/7.12 | ALPHA: (120) implies: % 38.88/7.12 | (121) unorthogonal_lines(all_38_6, all_38_5) = all_79_3 % 38.88/7.12 | (122) unorthogonal_lines(all_38_6, all_38_4) = all_79_2 % 38.88/7.12 | % 38.88/7.12 | DELTA: instantiating (53) with fresh symbols all_81_0, all_81_1, all_81_2, % 38.88/7.12 | all_81_3 gives: % 38.88/7.12 | (123) unorthogonal_lines(all_38_4, all_38_4) = all_81_0 & % 38.88/7.12 | unorthogonal_lines(all_38_6, all_38_4) = all_81_2 & % 38.88/7.12 | unorthogonal_lines(all_38_6, all_38_4) = all_81_3 & % 38.88/7.12 | convergent_lines(all_38_4, all_38_4) = all_81_1 & ( ~ (all_81_0 = 0) % 38.88/7.12 | | ~ (all_81_1 = 0) | (all_81_2 = 0 & all_38_3 = 0) | (all_81_3 = 0 % 38.88/7.12 | & all_38_3 = 0)) % 38.88/7.12 | % 38.88/7.12 | ALPHA: (123) implies: % 38.88/7.12 | (124) unorthogonal_lines(all_38_6, all_38_4) = all_81_3 % 38.88/7.12 | (125) unorthogonal_lines(all_38_6, all_38_4) = all_81_2 % 38.88/7.12 | % 38.88/7.12 | DELTA: instantiating (52) with fresh symbols all_83_0, all_83_1, all_83_2, % 38.88/7.12 | all_83_3 gives: % 38.88/7.12 | (126) unorthogonal_lines(all_38_6, all_38_4) = all_83_0 & % 38.88/7.12 | unorthogonal_lines(all_38_6, all_38_4) = all_83_1 & % 38.88/7.12 | unorthogonal_lines(all_38_6, all_38_6) = all_83_2 & % 38.88/7.12 | convergent_lines(all_38_6, all_38_6) = all_83_3 & ( ~ (all_83_2 = 0) % 38.88/7.12 | | ~ (all_83_3 = 0) | (all_83_0 = 0 & all_38_3 = 0) | (all_83_1 = 0 % 38.88/7.12 | & all_38_3 = 0)) % 38.88/7.12 | % 38.88/7.12 | ALPHA: (126) implies: % 38.88/7.12 | (127) convergent_lines(all_38_6, all_38_6) = all_83_3 % 38.88/7.12 | (128) unorthogonal_lines(all_38_6, all_38_6) = all_83_2 % 38.88/7.12 | (129) unorthogonal_lines(all_38_6, all_38_4) = all_83_1 % 38.88/7.12 | (130) unorthogonal_lines(all_38_6, all_38_4) = all_83_0 % 38.88/7.12 | % 38.88/7.12 | BETA: splitting (54) gives: % 38.88/7.12 | % 38.88/7.12 | Case 1: % 38.88/7.12 | | % 38.88/7.12 | | (131) distinct_lines(all_38_5, all_38_4) = 0 % 38.88/7.12 | | % 38.88/7.12 | | GROUND_INST: instantiating (27) with 0, all_45_0, all_38_4, all_38_5, % 38.88/7.12 | | simplifying with (68), (131) gives: % 38.88/7.12 | | (132) all_45_0 = 0 % 38.88/7.12 | | % 38.88/7.12 | | REDUCE: (67), (132) imply: % 38.88/7.12 | | (133) $false % 38.88/7.12 | | % 38.88/7.12 | | CLOSE: (133) is inconsistent. % 38.88/7.12 | | % 38.88/7.12 | Case 2: % 38.88/7.12 | | % 38.88/7.12 | | (134) all_38_3 = 0 % 38.88/7.12 | | % 38.88/7.12 | | REDUCE: (39), (134) imply: % 38.88/7.12 | | (135) convergent_lines(all_38_6, all_38_4) = 0 % 38.88/7.12 | | % 38.88/7.12 | | BETA: splitting (44) gives: % 38.88/7.12 | | % 38.88/7.12 | | Case 1: % 38.88/7.12 | | | % 38.88/7.12 | | | (136) ~ (all_38_0 = 0) % 38.88/7.12 | | | % 38.88/7.12 | | | BETA: splitting (64) gives: % 38.88/7.12 | | | % 38.88/7.12 | | | Case 1: % 38.88/7.12 | | | | % 38.88/7.12 | | | | (137) distinct_points(all_38_2, all_38_1) = 0 % 38.88/7.12 | | | | % 38.88/7.12 | | | | GROUND_INST: instantiating (28) with all_67_3, all_83_3, all_38_6, % 38.88/7.12 | | | | all_38_6, simplifying with (102), (127) gives: % 38.88/7.12 | | | | (138) all_83_3 = all_67_3 % 38.88/7.12 | | | | % 38.88/7.12 | | | | GROUND_INST: instantiating (28) with all_65_3, all_83_3, all_38_6, % 38.88/7.12 | | | | all_38_6, simplifying with (97), (127) gives: % 38.88/7.12 | | | | (139) all_83_3 = all_65_3 % 38.88/7.12 | | | | % 38.88/7.12 | | | | GROUND_INST: instantiating (28) with 0, all_63_1, all_38_5, all_38_6, % 38.88/7.12 | | | | simplifying with (38), (95) gives: % 38.88/7.12 | | | | (140) all_63_1 = 0 % 38.88/7.12 | | | | % 38.88/7.12 | | | | GROUND_INST: instantiating (28) with all_59_1, all_63_1, all_38_5, % 38.88/7.12 | | | | all_38_6, simplifying with (89), (95) gives: % 38.88/7.12 | | | | (141) all_63_1 = all_59_1 % 38.88/7.12 | | | | % 38.88/7.12 | | | | GROUND_INST: instantiating (28) with all_55_1, all_63_1, all_38_5, % 38.88/7.12 | | | | all_38_6, simplifying with (81), (95) gives: % 38.88/7.12 | | | | (142) all_63_1 = all_55_1 % 38.88/7.12 | | | | % 38.88/7.12 | | | | GROUND_INST: instantiating (28) with all_57_1, all_61_1, all_38_4, % 38.88/7.12 | | | | all_38_6, simplifying with (85), (93) gives: % 38.88/7.12 | | | | (143) all_61_1 = all_57_1 % 38.88/7.12 | | | | % 38.88/7.12 | | | | GROUND_INST: instantiating (28) with all_51_1, all_61_1, all_38_4, % 38.88/7.12 | | | | all_38_6, simplifying with (74), (93) gives: % 38.88/7.12 | | | | (144) all_61_1 = all_51_1 % 38.88/7.12 | | | | % 38.88/7.12 | | | | GROUND_INST: instantiating (28) with 0, all_61_1, all_38_4, all_38_6, % 38.88/7.12 | | | | simplifying with (93), (135) gives: % 38.88/7.12 | | | | (145) all_61_1 = 0 % 38.88/7.12 | | | | % 38.88/7.12 | | | | GROUND_INST: instantiating (30) with all_38_2, all_69_1, all_38_5, % 38.88/7.12 | | | | all_38_6, simplifying with (40), (107) gives: % 38.88/7.12 | | | | (146) all_69_1 = all_38_2 % 38.88/7.12 | | | | % 38.88/7.12 | | | | GROUND_INST: instantiating (30) with all_53_1, all_69_1, all_38_5, % 38.88/7.12 | | | | all_38_6, simplifying with (79), (107) gives: % 38.88/7.12 | | | | (147) all_69_1 = all_53_1 % 38.88/7.12 | | | | % 38.88/7.12 | | | | GROUND_INST: instantiating (30) with all_49_1, all_69_1, all_38_5, % 38.88/7.12 | | | | all_38_6, simplifying with (72), (107) gives: % 38.88/7.12 | | | | (148) all_69_1 = all_49_1 % 38.88/7.12 | | | | % 38.88/7.12 | | | | GROUND_INST: instantiating (31) with all_67_2, all_83_2, all_38_6, % 38.88/7.12 | | | | all_38_6, simplifying with (103), (128) gives: % 38.88/7.12 | | | | (149) all_83_2 = all_67_2 % 38.88/7.12 | | | | % 38.88/7.12 | | | | GROUND_INST: instantiating (31) with all_65_2, all_83_2, all_38_6, % 38.88/7.12 | | | | all_38_6, simplifying with (98), (128) gives: % 38.88/7.12 | | | | (150) all_83_2 = all_65_2 % 38.88/7.12 | | | | % 38.88/7.12 | | | | GROUND_INST: instantiating (31) with all_65_0, all_67_0, all_38_5, % 38.88/7.12 | | | | all_38_6, simplifying with (100), (105) gives: % 38.88/7.12 | | | | (151) all_67_0 = all_65_0 % 38.88/7.12 | | | | % 38.88/7.12 | | | | GROUND_INST: instantiating (31) with all_65_1, all_73_3, all_38_5, % 38.88/7.12 | | | | all_38_6, simplifying with (99), (112) gives: % 38.88/7.12 | | | | (152) all_73_3 = all_65_1 % 38.88/7.12 | | | | % 38.88/7.12 | | | | GROUND_INST: instantiating (31) with all_67_1, all_73_2, all_38_5, % 38.88/7.12 | | | | all_38_6, simplifying with (104), (113) gives: % 38.88/7.12 | | | | (153) all_73_2 = all_67_1 % 38.88/7.12 | | | | % 38.88/7.12 | | | | GROUND_INST: instantiating (31) with all_73_3, all_75_2, all_38_5, % 38.88/7.12 | | | | all_38_6, simplifying with (112), (115) gives: % 38.88/7.12 | | | | (154) all_75_2 = all_73_3 % 38.88/7.12 | | | | % 38.88/7.12 | | | | GROUND_INST: instantiating (31) with all_71_2, all_75_2, all_38_5, % 38.88/7.12 | | | | all_38_6, simplifying with (110), (115) gives: % 38.88/7.12 | | | | (155) all_75_2 = all_71_2 % 38.88/7.12 | | | | % 38.88/7.12 | | | | GROUND_INST: instantiating (31) with all_77_3, all_79_3, all_38_5, % 38.88/7.12 | | | | all_38_6, simplifying with (118), (121) gives: % 38.88/7.12 | | | | (156) all_79_3 = all_77_3 % 38.88/7.12 | | | | % 38.88/7.13 | | | | GROUND_INST: instantiating (31) with all_73_2, all_79_3, all_38_5, % 38.88/7.13 | | | | all_38_6, simplifying with (113), (121) gives: % 38.88/7.13 | | | | (157) all_79_3 = all_73_2 % 38.88/7.13 | | | | % 38.88/7.13 | | | | GROUND_INST: instantiating (31) with all_73_3, all_79_3, all_38_5, % 38.88/7.13 | | | | all_38_6, simplifying with (112), (121) gives: % 38.88/7.13 | | | | (158) all_79_3 = all_73_3 % 38.88/7.13 | | | | % 38.88/7.13 | | | | GROUND_INST: instantiating (31) with all_71_3, all_79_3, all_38_5, % 38.88/7.13 | | | | all_38_6, simplifying with (109), (121) gives: % 38.88/7.13 | | | | (159) all_79_3 = all_71_3 % 38.88/7.13 | | | | % 38.88/7.13 | | | | GROUND_INST: instantiating (31) with all_67_0, all_79_3, all_38_5, % 38.88/7.13 | | | | all_38_6, simplifying with (105), (121) gives: % 38.88/7.13 | | | | (160) all_79_3 = all_67_0 % 38.88/7.13 | | | | % 38.88/7.13 | | | | GROUND_INST: instantiating (31) with all_81_3, all_81_2, all_38_4, % 38.88/7.13 | | | | all_38_6, simplifying with (124), (125) gives: % 38.88/7.13 | | | | (161) all_81_2 = all_81_3 % 38.88/7.13 | | | | % 38.88/7.13 | | | | GROUND_INST: instantiating (31) with all_81_2, all_83_1, all_38_4, % 38.88/7.13 | | | | all_38_6, simplifying with (125), (129) gives: % 38.88/7.13 | | | | (162) all_83_1 = all_81_2 % 38.88/7.13 | | | | % 38.88/7.13 | | | | GROUND_INST: instantiating (31) with all_77_2, all_83_1, all_38_4, % 38.88/7.13 | | | | all_38_6, simplifying with (119), (129) gives: % 38.88/7.13 | | | | (163) all_83_1 = all_77_2 % 38.88/7.13 | | | | % 38.88/7.13 | | | | GROUND_INST: instantiating (31) with all_81_3, all_83_0, all_38_4, % 38.88/7.13 | | | | all_38_6, simplifying with (124), (130) gives: % 38.88/7.13 | | | | (164) all_83_0 = all_81_3 % 38.88/7.13 | | | | % 38.88/7.13 | | | | GROUND_INST: instantiating (31) with all_79_2, all_83_0, all_38_4, % 38.88/7.13 | | | | all_38_6, simplifying with (122), (130) gives: % 38.88/7.13 | | | | (165) all_83_0 = all_79_2 % 38.88/7.13 | | | | % 38.88/7.13 | | | | GROUND_INST: instantiating (31) with all_75_3, all_83_0, all_38_4, % 38.88/7.13 | | | | all_38_6, simplifying with (116), (130) gives: % 38.88/7.13 | | | | (166) all_83_0 = all_75_3 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (164), (165) imply: % 38.88/7.13 | | | | (167) all_81_3 = all_79_2 % 38.88/7.13 | | | | % 38.88/7.13 | | | | SIMP: (167) implies: % 38.88/7.13 | | | | (168) all_81_3 = all_79_2 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (165), (166) imply: % 38.88/7.13 | | | | (169) all_79_2 = all_75_3 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (162), (163) imply: % 38.88/7.13 | | | | (170) all_81_2 = all_77_2 % 38.88/7.13 | | | | % 38.88/7.13 | | | | SIMP: (170) implies: % 38.88/7.13 | | | | (171) all_81_2 = all_77_2 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (149), (150) imply: % 38.88/7.13 | | | | (172) all_67_2 = all_65_2 % 38.88/7.13 | | | | % 38.88/7.13 | | | | SIMP: (172) implies: % 38.88/7.13 | | | | (173) all_67_2 = all_65_2 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (138), (139) imply: % 38.88/7.13 | | | | (174) all_67_3 = all_65_3 % 38.88/7.13 | | | | % 38.88/7.13 | | | | SIMP: (174) implies: % 38.88/7.13 | | | | (175) all_67_3 = all_65_3 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (161), (171) imply: % 38.88/7.13 | | | | (176) all_81_3 = all_77_2 % 38.88/7.13 | | | | % 38.88/7.13 | | | | SIMP: (176) implies: % 38.88/7.13 | | | | (177) all_81_3 = all_77_2 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (168), (177) imply: % 38.88/7.13 | | | | (178) all_79_2 = all_77_2 % 38.88/7.13 | | | | % 38.88/7.13 | | | | SIMP: (178) implies: % 38.88/7.13 | | | | (179) all_79_2 = all_77_2 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (169), (179) imply: % 38.88/7.13 | | | | (180) all_77_2 = all_75_3 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (156), (158) imply: % 38.88/7.13 | | | | (181) all_77_3 = all_73_3 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (156), (159) imply: % 38.88/7.13 | | | | (182) all_77_3 = all_71_3 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (156), (160) imply: % 38.88/7.13 | | | | (183) all_77_3 = all_67_0 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (156), (157) imply: % 38.88/7.13 | | | | (184) all_77_3 = all_73_2 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (182), (183) imply: % 38.88/7.13 | | | | (185) all_71_3 = all_67_0 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (181), (182) imply: % 38.88/7.13 | | | | (186) all_73_3 = all_71_3 % 38.88/7.13 | | | | % 38.88/7.13 | | | | SIMP: (186) implies: % 38.88/7.13 | | | | (187) all_73_3 = all_71_3 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (182), (184) imply: % 38.88/7.13 | | | | (188) all_73_2 = all_71_3 % 38.88/7.13 | | | | % 38.88/7.13 | | | | SIMP: (188) implies: % 38.88/7.13 | | | | (189) all_73_2 = all_71_3 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (154), (155) imply: % 38.88/7.13 | | | | (190) all_73_3 = all_71_2 % 38.88/7.13 | | | | % 38.88/7.13 | | | | SIMP: (190) implies: % 38.88/7.13 | | | | (191) all_73_3 = all_71_2 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (153), (189) imply: % 38.88/7.13 | | | | (192) all_71_3 = all_67_1 % 38.88/7.13 | | | | % 38.88/7.13 | | | | SIMP: (192) implies: % 38.88/7.13 | | | | (193) all_71_3 = all_67_1 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (152), (191) imply: % 38.88/7.13 | | | | (194) all_71_2 = all_65_1 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (187), (191) imply: % 38.88/7.13 | | | | (195) all_71_2 = all_71_3 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (194), (195) imply: % 38.88/7.13 | | | | (196) all_71_3 = all_65_1 % 38.88/7.13 | | | | % 38.88/7.13 | | | | SIMP: (196) implies: % 38.88/7.13 | | | | (197) all_71_3 = all_65_1 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (185), (193) imply: % 38.88/7.13 | | | | (198) all_67_0 = all_67_1 % 38.88/7.13 | | | | % 38.88/7.13 | | | | SIMP: (198) implies: % 38.88/7.13 | | | | (199) all_67_0 = all_67_1 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (193), (197) imply: % 38.88/7.13 | | | | (200) all_67_1 = all_65_1 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (147), (148) imply: % 38.88/7.13 | | | | (201) all_53_1 = all_49_1 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (146), (147) imply: % 38.88/7.13 | | | | (202) all_53_1 = all_38_2 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (151), (199) imply: % 38.88/7.13 | | | | (203) all_67_1 = all_65_0 % 38.88/7.13 | | | | % 38.88/7.13 | | | | SIMP: (203) implies: % 38.88/7.13 | | | | (204) all_67_1 = all_65_0 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (200), (204) imply: % 38.88/7.13 | | | | (205) all_65_0 = all_65_1 % 38.88/7.13 | | | | % 38.88/7.13 | | | | SIMP: (205) implies: % 38.88/7.13 | | | | (206) all_65_0 = all_65_1 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (141), (142) imply: % 38.88/7.13 | | | | (207) all_59_1 = all_55_1 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (140), (141) imply: % 38.88/7.13 | | | | (208) all_59_1 = 0 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (143), (145) imply: % 38.88/7.13 | | | | (209) all_57_1 = 0 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (143), (144) imply: % 38.88/7.13 | | | | (210) all_57_1 = all_51_1 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (207), (208) imply: % 38.88/7.13 | | | | (211) all_55_1 = 0 % 38.88/7.13 | | | | % 38.88/7.13 | | | | SIMP: (211) implies: % 38.88/7.13 | | | | (212) all_55_1 = 0 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (209), (210) imply: % 38.88/7.13 | | | | (213) all_51_1 = 0 % 38.88/7.13 | | | | % 38.88/7.13 | | | | SIMP: (213) implies: % 38.88/7.13 | | | | (214) all_51_1 = 0 % 38.88/7.13 | | | | % 38.88/7.13 | | | | COMBINE_EQS: (201), (202) imply: % 38.88/7.13 | | | | (215) all_49_1 = all_38_2 % 38.88/7.13 | | | | % 38.88/7.13 | | | | SIMP: (215) implies: % 38.88/7.13 | | | | (216) all_49_1 = all_38_2 % 38.88/7.13 | | | | % 38.88/7.13 | | | | REDUCE: (78), (202) imply: % 38.88/7.13 | | | | (217) apart_point_and_line(all_38_2, all_38_5) = all_53_0 % 38.88/7.13 | | | | % 38.88/7.13 | | | | REDUCE: (71), (216) imply: % 38.88/7.13 | | | | (218) apart_point_and_line(all_38_2, all_38_6) = all_49_0 % 38.88/7.13 | | | | % 38.88/7.13 | | | | BETA: splitting (76) gives: % 38.88/7.13 | | | | % 38.88/7.13 | | | | Case 1: % 38.88/7.13 | | | | | % 38.88/7.13 | | | | | (219) ~ (all_51_0 = 0) % 38.88/7.13 | | | | | % 38.88/7.13 | | | | | BETA: splitting (83) gives: % 38.88/7.13 | | | | | % 38.88/7.13 | | | | | Case 1: % 38.88/7.13 | | | | | | % 38.88/7.13 | | | | | | (220) ~ (all_55_0 = 0) % 38.88/7.13 | | | | | | % 38.88/7.13 | | | | | | BETA: splitting (91) gives: % 38.88/7.13 | | | | | | % 38.88/7.13 | | | | | | Case 1: % 38.88/7.13 | | | | | | | % 38.88/7.13 | | | | | | | (221) ~ (all_59_0 = 0) % 38.88/7.13 | | | | | | | % 38.88/7.13 | | | | | | | BETA: splitting (87) gives: % 38.88/7.13 | | | | | | | % 38.88/7.13 | | | | | | | Case 1: % 38.88/7.13 | | | | | | | | % 38.88/7.13 | | | | | | | | (222) ~ (all_57_0 = 0) % 38.88/7.13 | | | | | | | | % 38.88/7.13 | | | | | | | | GROUND_INST: instantiating (29) with all_55_0, all_49_0, % 38.88/7.13 | | | | | | | | all_38_6, all_38_2, simplifying with (82), (218) % 38.88/7.13 | | | | | | | | gives: % 38.88/7.13 | | | | | | | | (223) all_55_0 = all_49_0 % 38.88/7.13 | | | | | | | | % 38.88/7.13 | | | | | | | | GROUND_INST: instantiating (29) with all_59_0, all_53_0, % 38.88/7.13 | | | | | | | | all_38_5, all_38_2, simplifying with (90), (217) % 38.88/7.13 | | | | | | | | gives: % 38.88/7.13 | | | | | | | | (224) all_59_0 = all_53_0 % 38.88/7.13 | | | | | | | | % 38.88/7.13 | | | | | | | | REDUCE: (221), (224) imply: % 38.88/7.13 | | | | | | | | (225) ~ (all_53_0 = 0) % 38.88/7.13 | | | | | | | | % 38.88/7.13 | | | | | | | | REDUCE: (220), (223) imply: % 38.88/7.13 | | | | | | | | (226) ~ (all_49_0 = 0) % 38.88/7.13 | | | | | | | | % 38.88/7.13 | | | | | | | | GROUND_INST: instantiating (10) with all_38_6, all_38_5, % 38.88/7.13 | | | | | | | | all_38_6, all_65_3, simplifying with (33), (34), % 38.88/7.13 | | | | | | | | (38), (97) gives: % 38.88/7.13 | | | | | | | | (227) all_65_3 = 0 | distinct_lines(all_38_5, all_38_6) = 0 % 38.88/7.13 | | | | | | | | % 38.88/7.13 | | | | | | | | GROUND_INST: instantiating (7) with all_38_2, all_38_2, % 38.88/7.13 | | | | | | | | all_38_6, all_38_6, all_49_0, all_49_0, simplifying % 38.88/7.14 | | | | | | | | with (33), (36), (218) gives: % 38.88/7.14 | | | | | | | | (228) all_49_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 38.88/7.14 | | | | | | | | any] : ? [v3: any] : (apart_point_and_line(all_38_2, % 38.88/7.14 | | | | | | | | all_38_6) = v3 & apart_point_and_line(all_38_2, % 38.88/7.14 | | | | | | | | all_38_6) = v2 & distinct_lines(all_38_6, all_38_6) % 38.88/7.14 | | | | | | | | = v1 & distinct_points(all_38_2, all_38_2) = v0 & ( ~ % 38.88/7.14 | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 38.88/7.14 | | | | | | | | % 38.88/7.14 | | | | | | | | GROUND_INST: instantiating (5) with all_38_2, all_38_1, % 38.88/7.14 | | | | | | | | all_38_5, all_38_5, all_53_0, all_53_0, simplifying % 38.88/7.14 | | | | | | | | with (34), (36), (37), (137), (217) gives: % 38.88/7.14 | | | | | | | | (229) all_53_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 38.88/7.14 | | | | | | | | any] : (apart_point_and_line(all_38_1, all_38_5) = v2 % 38.88/7.14 | | | | | | | | & apart_point_and_line(all_38_1, all_38_5) = v1 & % 38.88/7.14 | | | | | | | | distinct_lines(all_38_5, all_38_5) = v0 & ( ~ (v0 = % 38.88/7.14 | | | | | | | | 0) | v2 = 0 | v1 = 0)) % 38.88/7.14 | | | | | | | | % 38.88/7.14 | | | | | | | | GROUND_INST: instantiating (8) with all_38_2, all_38_1, % 38.88/7.14 | | | | | | | | all_38_6, all_38_6, all_51_0, all_51_0, simplifying % 38.88/7.14 | | | | | | | | with (33), (36), (37), (75), (137) gives: % 38.88/7.14 | | | | | | | | (230) all_51_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 38.88/7.14 | | | | | | | | any] : (apart_point_and_line(all_38_2, all_38_6) = v2 % 38.88/7.14 | | | | | | | | & apart_point_and_line(all_38_2, all_38_6) = v1 & % 38.88/7.14 | | | | | | | | distinct_lines(all_38_6, all_38_6) = v0 & ( ~ (v0 = % 38.88/7.14 | | | | | | | | 0) | v2 = 0 | v1 = 0)) % 38.88/7.14 | | | | | | | | % 38.88/7.14 | | | | | | | | GROUND_INST: instantiating (11) with all_38_1, all_38_6, % 38.88/7.14 | | | | | | | | all_38_6, all_51_0, all_51_0, simplifying with % 38.88/7.14 | | | | | | | | (33), (37), (75) gives: % 38.88/7.14 | | | | | | | | (231) all_51_0 = 0 | ? [v0: any] : ? [v1: any] : % 38.88/7.14 | | | | | | | | (convergent_lines(all_38_6, all_38_6) = v1 & % 38.88/7.14 | | | | | | | | distinct_lines(all_38_6, all_38_6) = v0 & ( ~ (v0 = % 38.88/7.14 | | | | | | | | 0) | v1 = 0)) % 38.88/7.14 | | | | | | | | % 38.88/7.14 | | | | | | | | GROUND_INST: instantiating (7) with all_38_2, all_38_1, % 38.88/7.14 | | | | | | | | all_38_5, all_38_6, all_53_0, all_51_0, simplifying % 38.88/7.14 | | | | | | | | with (33), (34), (36), (37), (75), (217) gives: % 38.88/7.14 | | | | | | | | (232) all_53_0 = 0 | all_51_0 = 0 | ? [v0: any] : ? [v1: % 38.88/7.14 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 38.88/7.14 | | | | | | | | (apart_point_and_line(all_38_1, all_38_5) = v3 & % 38.88/7.14 | | | | | | | | apart_point_and_line(all_38_2, all_38_6) = v2 & % 38.88/7.14 | | | | | | | | distinct_lines(all_38_5, all_38_6) = v1 & % 38.88/7.14 | | | | | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~ (v1 = % 38.88/7.14 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 38.88/7.14 | | | | | | | | % 38.88/7.14 | | | | | | | | GROUND_INST: instantiating (7) with all_38_1, all_38_2, % 38.88/7.14 | | | | | | | | all_38_6, all_38_5, all_51_0, all_53_0, simplifying % 38.88/7.14 | | | | | | | | with (33), (34), (36), (37), (75), (217) gives: % 38.88/7.14 | | | | | | | | (233) all_53_0 = 0 | all_51_0 = 0 | ? [v0: any] : ? [v1: % 38.88/7.14 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 38.88/7.14 | | | | | | | | (apart_point_and_line(all_38_1, all_38_5) = v2 & % 38.88/7.14 | | | | | | | | apart_point_and_line(all_38_2, all_38_6) = v3 & % 38.88/7.14 | | | | | | | | distinct_lines(all_38_6, all_38_5) = v1 & % 38.88/7.14 | | | | | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~ (v1 = % 38.88/7.14 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 38.88/7.14 | | | | | | | | % 38.88/7.14 | | | | | | | | GROUND_INST: instantiating (8) with all_38_2, all_38_1, % 38.88/7.14 | | | | | | | | all_38_6, all_38_4, all_51_0, all_57_0, simplifying % 38.88/7.14 | | | | | | | | with (33), (35), (36), (37), (75), (86), (137) % 38.88/7.14 | | | | | | | | gives: % 38.88/7.14 | | | | | | | | (234) all_57_0 = 0 | all_51_0 = 0 | ? [v0: any] : ? [v1: % 38.88/7.14 | | | | | | | | any] : ? [v2: any] : (apart_point_and_line(all_38_2, % 38.88/7.14 | | | | | | | | all_38_4) = v2 & apart_point_and_line(all_38_2, % 38.88/7.14 | | | | | | | | all_38_6) = v1 & distinct_lines(all_38_6, all_38_4) % 38.88/7.14 | | | | | | | | = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 = 0)) % 38.88/7.14 | | | | | | | | % 38.88/7.14 | | | | | | | | GROUND_INST: instantiating (8) with all_38_2, all_38_1, % 38.88/7.14 | | | | | | | | all_38_4, all_38_6, all_57_0, all_51_0, simplifying % 38.88/7.14 | | | | | | | | with (33), (35), (36), (37), (75), (86), (137) % 38.88/7.14 | | | | | | | | gives: % 38.88/7.14 | | | | | | | | (235) all_57_0 = 0 | all_51_0 = 0 | ? [v0: any] : ? [v1: % 38.88/7.14 | | | | | | | | any] : ? [v2: any] : (apart_point_and_line(all_38_2, % 38.88/7.14 | | | | | | | | all_38_4) = v1 & apart_point_and_line(all_38_2, % 38.88/7.14 | | | | | | | | all_38_6) = v2 & distinct_lines(all_38_4, all_38_6) % 38.88/7.14 | | | | | | | | = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 = 0)) % 38.88/7.14 | | | | | | | | % 38.88/7.14 | | | | | | | | GROUND_INST: instantiating (7) with all_38_1, all_38_2, % 38.88/7.14 | | | | | | | | all_38_4, all_38_5, all_57_0, all_53_0, simplifying % 38.88/7.14 | | | | | | | | with (34), (35), (36), (37), (86), (217) gives: % 38.88/7.14 | | | | | | | | (236) all_57_0 = 0 | all_53_0 = 0 | ? [v0: any] : ? [v1: % 38.88/7.14 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 38.88/7.14 | | | | | | | | (apart_point_and_line(all_38_1, all_38_5) = v2 & % 38.88/7.14 | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v3 & % 38.88/7.14 | | | | | | | | distinct_lines(all_38_4, all_38_5) = v1 & % 38.88/7.14 | | | | | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~ (v1 = % 38.88/7.14 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 38.88/7.14 | | | | | | | | % 38.88/7.14 | | | | | | | | GROUND_INST: instantiating (6) with all_38_2, all_38_1, % 38.88/7.14 | | | | | | | | all_38_4, all_38_5, all_53_0, all_57_0, simplifying % 38.88/7.14 | | | | | | | | with (34), (35), (36), (37), (86), (217) gives: % 38.88/7.14 | | | | | | | | (237) all_57_0 = 0 | all_53_0 = 0 | ? [v0: any] : ? [v1: % 38.88/7.14 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 38.88/7.14 | | | | | | | | (apart_point_and_line(all_38_1, all_38_5) = v3 & % 38.88/7.14 | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v2 & % 38.88/7.14 | | | | | | | | distinct_lines(all_38_4, all_38_5) = v1 & % 38.88/7.14 | | | | | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~ (v1 = % 38.88/7.14 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 38.88/7.14 | | | | | | | | % 38.88/7.14 | | | | | | | | GROUND_INST: instantiating (7) with all_38_2, all_38_1, % 38.88/7.14 | | | | | | | | all_38_6, all_38_4, all_49_0, all_57_0, simplifying % 38.88/7.14 | | | | | | | | with (33), (35), (36), (37), (86), (218) gives: % 38.88/7.14 | | | | | | | | (238) all_57_0 = 0 | all_49_0 = 0 | ? [v0: any] : ? [v1: % 38.88/7.14 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 38.88/7.14 | | | | | | | | (apart_point_and_line(all_38_1, all_38_6) = v3 & % 38.88/7.14 | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v2 & % 38.88/7.14 | | | | | | | | distinct_lines(all_38_6, all_38_4) = v1 & % 38.88/7.14 | | | | | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~ (v1 = % 38.88/7.14 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 38.88/7.14 | | | | | | | | % 38.88/7.14 | | | | | | | | GROUND_INST: instantiating (6) with all_38_2, all_38_1, % 38.88/7.14 | | | | | | | | all_38_4, all_38_6, all_49_0, all_57_0, simplifying % 38.88/7.14 | | | | | | | | with (33), (35), (36), (37), (86), (218) gives: % 38.88/7.14 | | | | | | | | (239) all_57_0 = 0 | all_49_0 = 0 | ? [v0: any] : ? [v1: % 38.88/7.14 | | | | | | | | any] : ? [v2: any] : ? [v3: any] : % 38.88/7.14 | | | | | | | | (apart_point_and_line(all_38_1, all_38_6) = v3 & % 38.88/7.14 | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v2 & % 38.88/7.14 | | | | | | | | distinct_lines(all_38_4, all_38_6) = v1 & % 38.88/7.14 | | | | | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~ (v1 = % 38.88/7.14 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 38.88/7.14 | | | | | | | | % 38.88/7.14 | | | | | | | | GROUND_INST: instantiating (9) with all_38_1, all_38_5, % 38.88/7.14 | | | | | | | | all_38_4, all_45_0, all_57_0, simplifying with % 38.88/7.14 | | | | | | | | (34), (35), (37), (68), (86) gives: % 38.88/7.14 | | | | | | | | (240) all_57_0 = 0 | all_45_0 = 0 | ? [v0: int] : ( ~ (v0 = % 38.88/7.14 | | | | | | | | 0) & apart_point_and_line(all_38_1, all_38_5) = v0) % 38.88/7.14 | | | | | | | | % 38.88/7.14 | | | | | | | | GROUND_INST: instantiating (13) with all_38_6, all_38_5, % 38.88/7.14 | | | | | | | | all_38_6, all_65_2, simplifying with (33), (34), % 38.88/7.14 | | | | | | | | (38), (98) gives: % 38.88/7.15 | | | | | | | | (241) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 38.88/7.15 | | | | | | | | any] : (unorthogonal_lines(all_38_5, all_38_6) = v3 & % 38.88/7.15 | | | | | | | | unorthogonal_lines(all_38_6, all_38_5) = v0 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_5, all_38_6) = v2 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_6) = v1 & ( ~ (v0 = % 38.88/7.15 | | | | | | | | 0) | (v3 = 0 & v2 = 0) | (v1 = 0 & all_65_2 = % 38.88/7.15 | | | | | | | | 0))) % 38.88/7.15 | | | | | | | | % 38.88/7.15 | | | | | | | | GROUND_INST: instantiating (20) with all_38_6, all_38_5, % 38.88/7.15 | | | | | | | | all_38_6, 0, all_65_2, simplifying with (33), (34), % 38.88/7.15 | | | | | | | | (38), (98) gives: % 38.88/7.15 | | | | | | | | (242) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 38.88/7.15 | | | | | | | | any] : (unorthogonal_lines(all_38_5, all_38_6) = v3 & % 38.88/7.15 | | | | | | | | unorthogonal_lines(all_38_6, all_38_5) = v0 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_5, all_38_6) = v2 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_6) = v1 & ( ~ (v3 = % 38.88/7.15 | | | | | | | | 0) | ~ (v2 = 0) | v0 = 0 | (v1 = 0 & all_65_2 = % 38.88/7.15 | | | | | | | | 0))) % 38.88/7.15 | | | | | | | | % 38.88/7.15 | | | | | | | | GROUND_INST: instantiating (13) with all_38_6, all_38_4, % 38.88/7.15 | | | | | | | | all_38_6, all_65_2, simplifying with (33), (35), % 38.88/7.15 | | | | | | | | (98), (135) gives: % 38.88/7.15 | | | | | | | | (243) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 38.88/7.15 | | | | | | | | any] : (unorthogonal_lines(all_38_4, all_38_6) = v3 & % 38.88/7.15 | | | | | | | | unorthogonal_lines(all_38_6, all_38_4) = v0 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_4, all_38_6) = v2 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_6) = v1 & ( ~ (v0 = % 38.88/7.15 | | | | | | | | 0) | (v3 = 0 & v2 = 0) | (v1 = 0 & all_65_2 = % 38.88/7.15 | | | | | | | | 0))) % 38.88/7.15 | | | | | | | | % 38.88/7.15 | | | | | | | | GROUND_INST: instantiating (20) with all_38_6, all_38_4, % 38.88/7.15 | | | | | | | | all_38_6, 0, all_65_2, simplifying with (33), (35), % 38.88/7.15 | | | | | | | | (98), (135) gives: % 38.88/7.15 | | | | | | | | (244) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 38.88/7.15 | | | | | | | | any] : (unorthogonal_lines(all_38_4, all_38_6) = v3 & % 38.88/7.15 | | | | | | | | unorthogonal_lines(all_38_6, all_38_4) = v0 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_4, all_38_6) = v2 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_6) = v1 & ( ~ (v3 = % 38.88/7.15 | | | | | | | | 0) | ~ (v2 = 0) | v0 = 0 | (v1 = 0 & all_65_2 = % 38.88/7.15 | | | | | | | | 0))) % 38.88/7.15 | | | | | | | | % 38.88/7.15 | | | | | | | | GROUND_INST: instantiating (17) with all_38_6, all_38_6, % 38.88/7.15 | | | | | | | | all_38_5, all_65_1, all_65_1, simplifying with % 38.88/7.15 | | | | | | | | (33), (34), (99) gives: % 38.88/7.15 | | | | | | | | (245) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 38.88/7.15 | | | | | | | | any] : (unorthogonal_lines(all_38_6, all_38_6) = v1 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_5) = v3 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_5) = v2 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_6) = v0 & ( ~ (v1 = % 38.88/7.15 | | | | | | | | 0) | ~ (v0 = 0) | (v3 = 0 & all_65_1 = 0) | (v2 % 38.88/7.15 | | | | | | | | = 0 & all_65_1 = 0))) % 38.88/7.15 | | | | | | | | % 38.88/7.15 | | | | | | | | GROUND_INST: instantiating (21) with all_38_6, all_38_5, % 38.88/7.15 | | | | | | | | all_38_6, all_65_1, all_65_2, simplifying with % 38.88/7.15 | | | | | | | | (33), (34), (98), (99) gives: % 38.88/7.15 | | | | | | | | (246) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 38.88/7.15 | | | | | | | | any] : (unorthogonal_lines(all_38_5, all_38_6) = v3 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_5, all_38_6) = v2 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_5) = v0 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_6) = v1 & ( ~ (v3 = % 38.88/7.15 | | | | | | | | 0) | ~ (v2 = 0) | (v1 = 0 & all_65_2 = 0) | (v0 % 38.88/7.15 | | | | | | | | = 0 & all_65_1 = 0))) % 38.88/7.15 | | | | | | | | % 38.88/7.15 | | | | | | | | GROUND_INST: instantiating (16) with all_38_6, all_38_6, % 38.88/7.15 | | | | | | | | all_38_5, 0, all_65_1, simplifying with (33), (34), % 38.88/7.15 | | | | | | | | (38), (99) gives: % 38.88/7.15 | | | | | | | | (247) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 38.88/7.15 | | | | | | | | any] : (unorthogonal_lines(all_38_6, all_38_5) = v2 & % 38.88/7.15 | | | | | | | | unorthogonal_lines(all_38_6, all_38_6) = v1 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_5) = v3 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_6) = v0 & ( ~ (v1 = % 38.88/7.15 | | | | | | | | 0) | ~ (v0 = 0) | v2 = 0 | (v3 = 0 & all_65_1 = % 38.88/7.15 | | | | | | | | 0))) % 38.88/7.15 | | | | | | | | % 38.88/7.15 | | | | | | | | GROUND_INST: instantiating (15) with all_38_6, all_38_6, % 38.88/7.15 | | | | | | | | all_38_5, all_65_1, 0, simplifying with (33), (34), % 38.88/7.15 | | | | | | | | (38), (99) gives: % 38.88/7.15 | | | | | | | | (248) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 38.88/7.15 | | | | | | | | any] : (unorthogonal_lines(all_38_6, all_38_5) = v3 & % 38.88/7.15 | | | | | | | | unorthogonal_lines(all_38_6, all_38_6) = v1 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_5) = v2 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_6) = v0 & ( ~ (v1 = % 38.88/7.15 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | (v2 = 0 & all_65_1 = % 38.88/7.15 | | | | | | | | 0))) % 38.88/7.15 | | | | | | | | % 38.88/7.15 | | | | | | | | GROUND_INST: instantiating (17) with all_38_6, all_38_6, % 38.88/7.15 | | | | | | | | all_38_4, all_75_3, all_75_3, simplifying with % 38.88/7.15 | | | | | | | | (33), (35), (116) gives: % 38.88/7.15 | | | | | | | | (249) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 38.88/7.15 | | | | | | | | any] : (unorthogonal_lines(all_38_6, all_38_6) = v1 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_4) = v3 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_4) = v2 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_6) = v0 & ( ~ (v1 = % 38.88/7.15 | | | | | | | | 0) | ~ (v0 = 0) | (v3 = 0 & all_75_3 = 0) | (v2 % 38.88/7.15 | | | | | | | | = 0 & all_75_3 = 0))) % 38.88/7.15 | | | | | | | | % 38.88/7.15 | | | | | | | | GROUND_INST: instantiating (21) with all_38_6, all_38_4, % 38.88/7.15 | | | | | | | | all_38_6, all_75_3, all_65_2, simplifying with % 38.88/7.15 | | | | | | | | (33), (35), (98), (116) gives: % 38.88/7.15 | | | | | | | | (250) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 38.88/7.15 | | | | | | | | any] : (unorthogonal_lines(all_38_4, all_38_6) = v3 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_4, all_38_6) = v2 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_4) = v0 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_6) = v1 & ( ~ (v3 = % 38.88/7.15 | | | | | | | | 0) | ~ (v2 = 0) | (v1 = 0 & all_65_2 = 0) | (v0 % 38.88/7.15 | | | | | | | | = 0 & all_75_3 = 0))) % 38.88/7.15 | | | | | | | | % 38.88/7.15 | | | | | | | | GROUND_INST: instantiating (16) with all_38_6, all_38_6, % 38.88/7.15 | | | | | | | | all_38_4, 0, all_75_3, simplifying with (33), (35), % 38.88/7.15 | | | | | | | | (116), (135) gives: % 38.88/7.15 | | | | | | | | (251) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 38.88/7.15 | | | | | | | | any] : (unorthogonal_lines(all_38_6, all_38_4) = v2 & % 38.88/7.15 | | | | | | | | unorthogonal_lines(all_38_6, all_38_6) = v1 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_4) = v3 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_6) = v0 & ( ~ (v1 = % 38.88/7.15 | | | | | | | | 0) | ~ (v0 = 0) | v2 = 0 | (v3 = 0 & all_75_3 = % 38.88/7.15 | | | | | | | | 0))) % 38.88/7.15 | | | | | | | | % 38.88/7.15 | | | | | | | | GROUND_INST: instantiating (15) with all_38_6, all_38_6, % 38.88/7.15 | | | | | | | | all_38_4, all_75_3, 0, simplifying with (33), (35), % 38.88/7.15 | | | | | | | | (116), (135) gives: % 38.88/7.15 | | | | | | | | (252) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 38.88/7.15 | | | | | | | | any] : (unorthogonal_lines(all_38_6, all_38_4) = v3 & % 38.88/7.15 | | | | | | | | unorthogonal_lines(all_38_6, all_38_6) = v1 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_4) = v2 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_6) = v0 & ( ~ (v1 = % 38.88/7.15 | | | | | | | | 0) | ~ (v0 = 0) | v3 = 0 | (v2 = 0 & all_75_3 = % 38.88/7.15 | | | | | | | | 0))) % 38.88/7.15 | | | | | | | | % 38.88/7.15 | | | | | | | | DELTA: instantiating (251) with fresh symbols all_178_0, % 38.88/7.15 | | | | | | | | all_178_1, all_178_2, all_178_3 gives: % 38.88/7.15 | | | | | | | | (253) unorthogonal_lines(all_38_6, all_38_4) = all_178_1 & % 38.88/7.15 | | | | | | | | unorthogonal_lines(all_38_6, all_38_6) = all_178_2 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_4) = all_178_0 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_6) = all_178_3 & ( ~ % 38.88/7.15 | | | | | | | | (all_178_2 = 0) | ~ (all_178_3 = 0) | all_178_1 = 0 % 38.88/7.15 | | | | | | | | | (all_178_0 = 0 & all_75_3 = 0)) % 38.88/7.15 | | | | | | | | % 38.88/7.15 | | | | | | | | ALPHA: (253) implies: % 38.88/7.15 | | | | | | | | (254) convergent_lines(all_38_6, all_38_6) = all_178_3 % 38.88/7.15 | | | | | | | | % 38.88/7.15 | | | | | | | | DELTA: instantiating (252) with fresh symbols all_194_0, % 38.88/7.15 | | | | | | | | all_194_1, all_194_2, all_194_3 gives: % 38.88/7.15 | | | | | | | | (255) unorthogonal_lines(all_38_6, all_38_4) = all_194_0 & % 38.88/7.15 | | | | | | | | unorthogonal_lines(all_38_6, all_38_6) = all_194_2 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_4) = all_194_1 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_6) = all_194_3 & ( ~ % 38.88/7.15 | | | | | | | | (all_194_2 = 0) | ~ (all_194_3 = 0) | all_194_0 = 0 % 38.88/7.15 | | | | | | | | | (all_194_1 = 0 & all_75_3 = 0)) % 38.88/7.15 | | | | | | | | % 38.88/7.15 | | | | | | | | ALPHA: (255) implies: % 38.88/7.15 | | | | | | | | (256) convergent_lines(all_38_6, all_38_6) = all_194_3 % 38.88/7.15 | | | | | | | | % 38.88/7.15 | | | | | | | | DELTA: instantiating (244) with fresh symbols all_200_0, % 38.88/7.15 | | | | | | | | all_200_1, all_200_2, all_200_3 gives: % 38.88/7.15 | | | | | | | | (257) unorthogonal_lines(all_38_4, all_38_6) = all_200_0 & % 38.88/7.15 | | | | | | | | unorthogonal_lines(all_38_6, all_38_4) = all_200_3 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_4, all_38_6) = all_200_1 & % 38.88/7.15 | | | | | | | | convergent_lines(all_38_6, all_38_6) = all_200_2 & ( ~ % 38.88/7.15 | | | | | | | | (all_200_0 = 0) | ~ (all_200_1 = 0) | all_200_3 = 0 % 38.88/7.15 | | | | | | | | | (all_200_2 = 0 & all_65_2 = 0)) % 38.88/7.15 | | | | | | | | % 38.88/7.15 | | | | | | | | ALPHA: (257) implies: % 38.88/7.15 | | | | | | | | (258) convergent_lines(all_38_6, all_38_6) = all_200_2 % 38.88/7.15 | | | | | | | | % 38.88/7.15 | | | | | | | | DELTA: instantiating (243) with fresh symbols all_206_0, % 38.88/7.15 | | | | | | | | all_206_1, all_206_2, all_206_3 gives: % 38.88/7.16 | | | | | | | | (259) unorthogonal_lines(all_38_4, all_38_6) = all_206_0 & % 38.88/7.16 | | | | | | | | unorthogonal_lines(all_38_6, all_38_4) = all_206_3 & % 38.88/7.16 | | | | | | | | convergent_lines(all_38_4, all_38_6) = all_206_1 & % 38.88/7.16 | | | | | | | | convergent_lines(all_38_6, all_38_6) = all_206_2 & ( ~ % 38.88/7.16 | | | | | | | | (all_206_3 = 0) | (all_206_0 = 0 & all_206_1 = 0) | % 38.88/7.16 | | | | | | | | (all_206_2 = 0 & all_65_2 = 0)) % 38.88/7.16 | | | | | | | | % 38.88/7.16 | | | | | | | | ALPHA: (259) implies: % 38.88/7.16 | | | | | | | | (260) convergent_lines(all_38_6, all_38_6) = all_206_2 % 38.88/7.16 | | | | | | | | % 38.88/7.16 | | | | | | | | DELTA: instantiating (242) with fresh symbols all_208_0, % 38.88/7.16 | | | | | | | | all_208_1, all_208_2, all_208_3 gives: % 38.88/7.16 | | | | | | | | (261) unorthogonal_lines(all_38_5, all_38_6) = all_208_0 & % 38.88/7.16 | | | | | | | | unorthogonal_lines(all_38_6, all_38_5) = all_208_3 & % 38.88/7.16 | | | | | | | | convergent_lines(all_38_5, all_38_6) = all_208_1 & % 38.88/7.16 | | | | | | | | convergent_lines(all_38_6, all_38_6) = all_208_2 & ( ~ % 38.88/7.16 | | | | | | | | (all_208_0 = 0) | ~ (all_208_1 = 0) | all_208_3 = 0 % 38.88/7.16 | | | | | | | | | (all_208_2 = 0 & all_65_2 = 0)) % 38.88/7.16 | | | | | | | | % 38.88/7.16 | | | | | | | | ALPHA: (261) implies: % 38.88/7.16 | | | | | | | | (262) convergent_lines(all_38_6, all_38_6) = all_208_2 % 38.88/7.16 | | | | | | | | % 38.88/7.16 | | | | | | | | DELTA: instantiating (248) with fresh symbols all_210_0, % 38.88/7.16 | | | | | | | | all_210_1, all_210_2, all_210_3 gives: % 38.88/7.16 | | | | | | | | (263) unorthogonal_lines(all_38_6, all_38_5) = all_210_0 & % 38.88/7.16 | | | | | | | | unorthogonal_lines(all_38_6, all_38_6) = all_210_2 & % 38.88/7.16 | | | | | | | | convergent_lines(all_38_6, all_38_5) = all_210_1 & % 38.88/7.16 | | | | | | | | convergent_lines(all_38_6, all_38_6) = all_210_3 & ( ~ % 38.88/7.16 | | | | | | | | (all_210_2 = 0) | ~ (all_210_3 = 0) | all_210_0 = 0 % 38.88/7.16 | | | | | | | | | (all_210_1 = 0 & all_65_1 = 0)) % 38.88/7.16 | | | | | | | | % 38.88/7.16 | | | | | | | | ALPHA: (263) implies: % 38.88/7.16 | | | | | | | | (264) convergent_lines(all_38_6, all_38_6) = all_210_3 % 38.88/7.16 | | | | | | | | % 38.88/7.16 | | | | | | | | DELTA: instantiating (247) with fresh symbols all_212_0, % 38.88/7.16 | | | | | | | | all_212_1, all_212_2, all_212_3 gives: % 39.32/7.16 | | | | | | | | (265) unorthogonal_lines(all_38_6, all_38_5) = all_212_1 & % 39.32/7.16 | | | | | | | | unorthogonal_lines(all_38_6, all_38_6) = all_212_2 & % 39.32/7.16 | | | | | | | | convergent_lines(all_38_6, all_38_5) = all_212_0 & % 39.32/7.16 | | | | | | | | convergent_lines(all_38_6, all_38_6) = all_212_3 & ( ~ % 39.32/7.16 | | | | | | | | (all_212_2 = 0) | ~ (all_212_3 = 0) | all_212_1 = 0 % 39.32/7.16 | | | | | | | | | (all_212_0 = 0 & all_65_1 = 0)) % 39.32/7.16 | | | | | | | | % 39.32/7.16 | | | | | | | | ALPHA: (265) implies: % 39.32/7.16 | | | | | | | | (266) convergent_lines(all_38_6, all_38_6) = all_212_3 % 39.32/7.16 | | | | | | | | % 39.32/7.16 | | | | | | | | DELTA: instantiating (241) with fresh symbols all_228_0, % 39.32/7.16 | | | | | | | | all_228_1, all_228_2, all_228_3 gives: % 39.32/7.16 | | | | | | | | (267) unorthogonal_lines(all_38_5, all_38_6) = all_228_0 & % 39.32/7.16 | | | | | | | | unorthogonal_lines(all_38_6, all_38_5) = all_228_3 & % 39.32/7.16 | | | | | | | | convergent_lines(all_38_5, all_38_6) = all_228_1 & % 39.32/7.16 | | | | | | | | convergent_lines(all_38_6, all_38_6) = all_228_2 & ( ~ % 39.32/7.16 | | | | | | | | (all_228_3 = 0) | (all_228_0 = 0 & all_228_1 = 0) | % 39.32/7.16 | | | | | | | | (all_228_2 = 0 & all_65_2 = 0)) % 39.32/7.16 | | | | | | | | % 39.32/7.16 | | | | | | | | ALPHA: (267) implies: % 39.32/7.16 | | | | | | | | (268) convergent_lines(all_38_6, all_38_6) = all_228_2 % 39.32/7.16 | | | | | | | | % 39.32/7.16 | | | | | | | | DELTA: instantiating (249) with fresh symbols all_240_0, % 39.32/7.16 | | | | | | | | all_240_1, all_240_2, all_240_3 gives: % 39.32/7.16 | | | | | | | | (269) unorthogonal_lines(all_38_6, all_38_6) = all_240_2 & % 39.32/7.16 | | | | | | | | convergent_lines(all_38_6, all_38_4) = all_240_0 & % 39.32/7.16 | | | | | | | | convergent_lines(all_38_6, all_38_4) = all_240_1 & % 39.32/7.16 | | | | | | | | convergent_lines(all_38_6, all_38_6) = all_240_3 & ( ~ % 39.32/7.16 | | | | | | | | (all_240_2 = 0) | ~ (all_240_3 = 0) | (all_240_0 = 0 % 39.32/7.16 | | | | | | | | & all_75_3 = 0) | (all_240_1 = 0 & all_75_3 = 0)) % 39.32/7.16 | | | | | | | | % 39.32/7.16 | | | | | | | | ALPHA: (269) implies: % 39.32/7.16 | | | | | | | | (270) convergent_lines(all_38_6, all_38_6) = all_240_3 % 39.32/7.16 | | | | | | | | % 39.32/7.16 | | | | | | | | DELTA: instantiating (250) with fresh symbols all_248_0, % 39.32/7.16 | | | | | | | | all_248_1, all_248_2, all_248_3 gives: % 39.32/7.16 | | | | | | | | (271) unorthogonal_lines(all_38_4, all_38_6) = all_248_0 & % 39.32/7.16 | | | | | | | | convergent_lines(all_38_4, all_38_6) = all_248_1 & % 39.32/7.16 | | | | | | | | convergent_lines(all_38_6, all_38_4) = all_248_3 & % 39.32/7.16 | | | | | | | | convergent_lines(all_38_6, all_38_6) = all_248_2 & ( ~ % 39.32/7.16 | | | | | | | | (all_248_0 = 0) | ~ (all_248_1 = 0) | (all_248_2 = 0 % 39.32/7.16 | | | | | | | | & all_65_2 = 0) | (all_248_3 = 0 & all_75_3 = 0)) % 39.32/7.16 | | | | | | | | % 39.32/7.16 | | | | | | | | ALPHA: (271) implies: % 39.32/7.16 | | | | | | | | (272) convergent_lines(all_38_6, all_38_6) = all_248_2 % 39.32/7.16 | | | | | | | | % 39.32/7.16 | | | | | | | | DELTA: instantiating (245) with fresh symbols all_292_0, % 39.32/7.16 | | | | | | | | all_292_1, all_292_2, all_292_3 gives: % 39.32/7.16 | | | | | | | | (273) unorthogonal_lines(all_38_6, all_38_6) = all_292_2 & % 39.32/7.16 | | | | | | | | convergent_lines(all_38_6, all_38_5) = all_292_0 & % 39.32/7.16 | | | | | | | | convergent_lines(all_38_6, all_38_5) = all_292_1 & % 39.32/7.16 | | | | | | | | convergent_lines(all_38_6, all_38_6) = all_292_3 & ( ~ % 39.32/7.16 | | | | | | | | (all_292_2 = 0) | ~ (all_292_3 = 0) | (all_292_0 = 0 % 39.32/7.16 | | | | | | | | & all_65_1 = 0) | (all_292_1 = 0 & all_65_1 = 0)) % 39.32/7.16 | | | | | | | | % 39.32/7.16 | | | | | | | | ALPHA: (273) implies: % 39.32/7.16 | | | | | | | | (274) convergent_lines(all_38_6, all_38_6) = all_292_3 % 39.32/7.16 | | | | | | | | % 39.32/7.16 | | | | | | | | DELTA: instantiating (246) with fresh symbols all_302_0, % 39.32/7.16 | | | | | | | | all_302_1, all_302_2, all_302_3 gives: % 39.32/7.16 | | | | | | | | (275) unorthogonal_lines(all_38_5, all_38_6) = all_302_0 & % 39.32/7.16 | | | | | | | | convergent_lines(all_38_5, all_38_6) = all_302_1 & % 39.32/7.16 | | | | | | | | convergent_lines(all_38_6, all_38_5) = all_302_3 & % 39.32/7.16 | | | | | | | | convergent_lines(all_38_6, all_38_6) = all_302_2 & ( ~ % 39.32/7.16 | | | | | | | | (all_302_0 = 0) | ~ (all_302_1 = 0) | (all_302_2 = 0 % 39.32/7.16 | | | | | | | | & all_65_2 = 0) | (all_302_3 = 0 & all_65_1 = 0)) % 39.32/7.16 | | | | | | | | % 39.32/7.16 | | | | | | | | ALPHA: (275) implies: % 39.32/7.16 | | | | | | | | (276) convergent_lines(all_38_6, all_38_6) = all_302_2 % 39.32/7.16 | | | | | | | | % 39.32/7.16 | | | | | | | | BETA: splitting (231) gives: % 39.32/7.16 | | | | | | | | % 39.32/7.16 | | | | | | | | Case 1: % 39.32/7.16 | | | | | | | | | % 39.32/7.16 | | | | | | | | | (277) all_51_0 = 0 % 39.32/7.16 | | | | | | | | | % 39.32/7.16 | | | | | | | | | REDUCE: (219), (277) imply: % 39.32/7.16 | | | | | | | | | (278) $false % 39.32/7.16 | | | | | | | | | % 39.32/7.16 | | | | | | | | | CLOSE: (278) is inconsistent. % 39.32/7.16 | | | | | | | | | % 39.32/7.16 | | | | | | | | Case 2: % 39.32/7.16 | | | | | | | | | % 39.32/7.16 | | | | | | | | | (279) ? [v0: any] : ? [v1: any] : % 39.32/7.16 | | | | | | | | | (convergent_lines(all_38_6, all_38_6) = v1 & % 39.32/7.16 | | | | | | | | | distinct_lines(all_38_6, all_38_6) = v0 & ( ~ (v0 = % 39.32/7.16 | | | | | | | | | 0) | v1 = 0)) % 39.32/7.16 | | | | | | | | | % 39.32/7.16 | | | | | | | | | DELTA: instantiating (279) with fresh symbols all_358_0, % 39.32/7.16 | | | | | | | | | all_358_1 gives: % 39.32/7.16 | | | | | | | | | (280) convergent_lines(all_38_6, all_38_6) = all_358_0 & % 39.32/7.16 | | | | | | | | | distinct_lines(all_38_6, all_38_6) = all_358_1 & ( ~ % 39.32/7.16 | | | | | | | | | (all_358_1 = 0) | all_358_0 = 0) % 39.32/7.16 | | | | | | | | | % 39.32/7.16 | | | | | | | | | ALPHA: (280) implies: % 39.32/7.16 | | | | | | | | | (281) convergent_lines(all_38_6, all_38_6) = all_358_0 % 39.32/7.16 | | | | | | | | | % 39.32/7.16 | | | | | | | | | BETA: splitting (230) gives: % 39.32/7.16 | | | | | | | | | % 39.32/7.16 | | | | | | | | | Case 1: % 39.32/7.16 | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | (282) all_51_0 = 0 % 39.32/7.16 | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | REDUCE: (219), (282) imply: % 39.32/7.16 | | | | | | | | | | (283) $false % 39.32/7.16 | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | CLOSE: (283) is inconsistent. % 39.32/7.16 | | | | | | | | | | % 39.32/7.16 | | | | | | | | | Case 2: % 39.32/7.16 | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | (284) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 39.32/7.16 | | | | | | | | | | (apart_point_and_line(all_38_2, all_38_6) = v2 & % 39.32/7.16 | | | | | | | | | | apart_point_and_line(all_38_2, all_38_6) = v1 & % 39.32/7.16 | | | | | | | | | | distinct_lines(all_38_6, all_38_6) = v0 & ( ~ (v0 % 39.32/7.16 | | | | | | | | | | = 0) | v2 = 0 | v1 = 0)) % 39.32/7.16 | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | DELTA: instantiating (284) with fresh symbols all_368_0, % 39.32/7.16 | | | | | | | | | | all_368_1, all_368_2 gives: % 39.32/7.16 | | | | | | | | | | (285) apart_point_and_line(all_38_2, all_38_6) = % 39.32/7.16 | | | | | | | | | | all_368_0 & apart_point_and_line(all_38_2, % 39.32/7.16 | | | | | | | | | | all_38_6) = all_368_1 & distinct_lines(all_38_6, % 39.32/7.16 | | | | | | | | | | all_38_6) = all_368_2 & ( ~ (all_368_2 = 0) | % 39.32/7.16 | | | | | | | | | | all_368_0 = 0 | all_368_1 = 0) % 39.32/7.16 | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | ALPHA: (285) implies: % 39.32/7.16 | | | | | | | | | | (286) apart_point_and_line(all_38_2, all_38_6) = % 39.32/7.16 | | | | | | | | | | all_368_1 % 39.32/7.16 | | | | | | | | | | (287) apart_point_and_line(all_38_2, all_38_6) = % 39.32/7.16 | | | | | | | | | | all_368_0 % 39.32/7.16 | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | BETA: splitting (232) gives: % 39.32/7.16 | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | Case 1: % 39.32/7.16 | | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | | (288) all_53_0 = 0 % 39.32/7.16 | | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | | REDUCE: (225), (288) imply: % 39.32/7.16 | | | | | | | | | | | (289) $false % 39.32/7.16 | | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | | CLOSE: (289) is inconsistent. % 39.32/7.16 | | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | Case 2: % 39.32/7.16 | | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | | (290) all_51_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 39.32/7.16 | | | | | | | | | | | [v2: any] : ? [v3: any] : % 39.32/7.16 | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_5) = v3 & % 39.32/7.16 | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_6) = v2 & % 39.32/7.16 | | | | | | | | | | | distinct_lines(all_38_5, all_38_6) = v1 & % 39.32/7.16 | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~ % 39.32/7.16 | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 39.32/7.16 | | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | | BETA: splitting (233) gives: % 39.32/7.16 | | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | | Case 1: % 39.32/7.16 | | | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | | | (291) all_53_0 = 0 % 39.32/7.16 | | | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | | | REDUCE: (225), (291) imply: % 39.32/7.16 | | | | | | | | | | | | (292) $false % 39.32/7.16 | | | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | | | CLOSE: (292) is inconsistent. % 39.32/7.16 | | | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | | Case 2: % 39.32/7.16 | | | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | | | (293) all_51_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 39.32/7.16 | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 39.32/7.16 | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_5) = v2 & % 39.32/7.16 | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_6) = v3 & % 39.32/7.16 | | | | | | | | | | | | distinct_lines(all_38_6, all_38_5) = v1 & % 39.32/7.16 | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~ % 39.32/7.16 | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 39.32/7.16 | | | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | | | BETA: splitting (229) gives: % 39.32/7.16 | | | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | | | Case 1: % 39.32/7.16 | | | | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | | | | (294) all_53_0 = 0 % 39.32/7.16 | | | | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | | | | REDUCE: (225), (294) imply: % 39.32/7.16 | | | | | | | | | | | | | (295) $false % 39.32/7.16 | | | | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | | | | CLOSE: (295) is inconsistent. % 39.32/7.16 | | | | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | | | Case 2: % 39.32/7.16 | | | | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | | | | (296) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 39.32/7.16 | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_5) = v2 & % 39.32/7.16 | | | | | | | | | | | | | apart_point_and_line(all_38_1, all_38_5) = v1 & % 39.32/7.16 | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_5) = v0 & ( ~ % 39.32/7.16 | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 39.32/7.16 | | | | | | | | | | | | | % 39.32/7.16 | | | | | | | | | | | | | DELTA: instantiating (296) with fresh symbols all_394_0, % 39.32/7.16 | | | | | | | | | | | | | all_394_1, all_394_2 gives: % 39.32/7.16 | | | | | | | | | | | | | (297) apart_point_and_line(all_38_1, all_38_5) = % 39.32/7.16 | | | | | | | | | | | | | all_394_0 & apart_point_and_line(all_38_1, % 39.32/7.16 | | | | | | | | | | | | | all_38_5) = all_394_1 & distinct_lines(all_38_5, % 39.32/7.16 | | | | | | | | | | | | | all_38_5) = all_394_2 & ( ~ (all_394_2 = 0) | % 39.32/7.17 | | | | | | | | | | | | | all_394_0 = 0 | all_394_1 = 0) % 39.32/7.17 | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | ALPHA: (297) implies: % 39.32/7.17 | | | | | | | | | | | | | (298) apart_point_and_line(all_38_1, all_38_5) = % 39.32/7.17 | | | | | | | | | | | | | all_394_1 % 39.32/7.17 | | | | | | | | | | | | | (299) apart_point_and_line(all_38_1, all_38_5) = % 39.32/7.17 | | | | | | | | | | | | | all_394_0 % 39.32/7.17 | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | BETA: splitting (228) gives: % 39.32/7.17 | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | Case 1: % 39.32/7.17 | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | (300) all_49_0 = 0 % 39.32/7.17 | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | REDUCE: (226), (300) imply: % 39.32/7.17 | | | | | | | | | | | | | | (301) $false % 39.32/7.17 | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | CLOSE: (301) is inconsistent. % 39.32/7.17 | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | Case 2: % 39.32/7.17 | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | (302) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 39.32/7.17 | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_2, % 39.32/7.17 | | | | | | | | | | | | | | all_38_6) = v3 & % 39.32/7.17 | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_6) = v2 & % 39.32/7.17 | | | | | | | | | | | | | | distinct_lines(all_38_6, all_38_6) = v1 & % 39.32/7.17 | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_2) = v0 & ( ~ % 39.32/7.17 | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 39.32/7.17 | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | DELTA: instantiating (302) with fresh symbols all_414_0, % 39.32/7.17 | | | | | | | | | | | | | | all_414_1, all_414_2, all_414_3 gives: % 39.32/7.17 | | | | | | | | | | | | | | (303) apart_point_and_line(all_38_2, all_38_6) = % 39.32/7.17 | | | | | | | | | | | | | | all_414_0 & apart_point_and_line(all_38_2, % 39.32/7.17 | | | | | | | | | | | | | | all_38_6) = all_414_1 & distinct_lines(all_38_6, % 39.32/7.17 | | | | | | | | | | | | | | all_38_6) = all_414_2 & % 39.32/7.17 | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_2) = all_414_3 & % 39.32/7.17 | | | | | | | | | | | | | | ( ~ (all_414_2 = 0) | ~ (all_414_3 = 0) | % 39.32/7.17 | | | | | | | | | | | | | | all_414_0 = 0 | all_414_1 = 0) % 39.32/7.17 | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | ALPHA: (303) implies: % 39.32/7.17 | | | | | | | | | | | | | | (304) apart_point_and_line(all_38_2, all_38_6) = % 39.32/7.17 | | | | | | | | | | | | | | all_414_1 % 39.32/7.17 | | | | | | | | | | | | | | (305) apart_point_and_line(all_38_2, all_38_6) = % 39.32/7.17 | | | | | | | | | | | | | | all_414_0 % 39.32/7.17 | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | BETA: splitting (240) gives: % 39.32/7.17 | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | Case 1: % 39.32/7.17 | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | (306) all_57_0 = 0 % 39.32/7.17 | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | REDUCE: (222), (306) imply: % 39.32/7.17 | | | | | | | | | | | | | | | (307) $false % 39.32/7.17 | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | CLOSE: (307) is inconsistent. % 39.32/7.17 | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | Case 2: % 39.32/7.17 | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | (308) all_45_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & % 39.32/7.17 | | | | | | | | | | | | | | | apart_point_and_line(all_38_1, all_38_5) = v0) % 39.32/7.17 | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | BETA: splitting (239) gives: % 39.32/7.17 | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | Case 1: % 39.32/7.17 | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | (309) all_57_0 = 0 % 39.32/7.17 | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | REDUCE: (222), (309) imply: % 39.32/7.17 | | | | | | | | | | | | | | | | (310) $false % 39.32/7.17 | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | CLOSE: (310) is inconsistent. % 39.32/7.17 | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | Case 2: % 39.32/7.17 | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | (311) all_49_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 39.32/7.17 | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 39.32/7.17 | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_6) = v3 & % 39.32/7.17 | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v2 & % 39.32/7.17 | | | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_6) = v1 & % 39.32/7.17 | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~ % 39.32/7.17 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 39.32/7.17 | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | BETA: splitting (234) gives: % 39.32/7.17 | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | Case 1: % 39.32/7.17 | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | (312) all_57_0 = 0 % 39.32/7.17 | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | REDUCE: (222), (312) imply: % 39.32/7.17 | | | | | | | | | | | | | | | | | (313) $false % 39.32/7.17 | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | CLOSE: (313) is inconsistent. % 39.32/7.17 | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | Case 2: % 39.32/7.17 | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | (314) all_51_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 39.32/7.17 | | | | | | | | | | | | | | | | | [v2: any] : (apart_point_and_line(all_38_2, % 39.32/7.17 | | | | | | | | | | | | | | | | | all_38_4) = v2 & % 39.32/7.17 | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_6) = v1 & % 39.32/7.17 | | | | | | | | | | | | | | | | | distinct_lines(all_38_6, all_38_4) = v0 & ( ~ % 39.32/7.17 | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 39.32/7.17 | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | BETA: splitting (238) gives: % 39.32/7.17 | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | Case 1: % 39.32/7.17 | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | (315) all_57_0 = 0 % 39.32/7.17 | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | REDUCE: (222), (315) imply: % 39.32/7.17 | | | | | | | | | | | | | | | | | | (316) $false % 39.32/7.17 | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | CLOSE: (316) is inconsistent. % 39.32/7.17 | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | Case 2: % 39.32/7.17 | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | (317) all_49_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 39.32/7.17 | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 39.32/7.17 | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_6) = v3 & % 39.32/7.17 | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v2 & % 39.32/7.17 | | | | | | | | | | | | | | | | | | distinct_lines(all_38_6, all_38_4) = v1 & % 39.32/7.17 | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~ % 39.32/7.17 | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 39.32/7.17 | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives: % 39.32/7.17 | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | Case 1: % 39.32/7.17 | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | (318) all_57_0 = 0 % 39.32/7.17 | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | REDUCE: (222), (318) imply: % 39.32/7.17 | | | | | | | | | | | | | | | | | | | (319) $false % 39.32/7.17 | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | CLOSE: (319) is inconsistent. % 39.32/7.17 | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | Case 2: % 39.32/7.17 | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | (320) all_51_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 39.32/7.17 | | | | | | | | | | | | | | | | | | | [v2: any] : (apart_point_and_line(all_38_2, % 39.32/7.17 | | | | | | | | | | | | | | | | | | | all_38_4) = v1 & % 39.32/7.17 | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_6) = v2 & % 39.32/7.17 | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_6) = v0 & ( ~ % 39.32/7.17 | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 39.32/7.17 | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives: % 39.32/7.17 | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | Case 1: % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | (321) all_57_0 = 0 % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | REDUCE: (222), (321) imply: % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | (322) $false % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | CLOSE: (322) is inconsistent. % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | Case 2: % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | (323) all_53_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_5) = v3 & % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v2 & % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_5) = v1 & % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~ % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives: % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | Case 1: % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | (324) all_57_0 = 0 % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (222), (324) imply: % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | (325) $false % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | CLOSE: (325) is inconsistent. % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | Case 2: % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | (326) all_53_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_1, all_38_5) = v2 & % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v3 & % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_5) = v1 & % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~ % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives: % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | (327) all_51_0 = 0 % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (219), (327) imply: % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | (328) $false % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (328) is inconsistent. % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | (329) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1, % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | all_38_5) = v3 & % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_6) = v2 & % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_5, all_38_6) = v1 & % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~ % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (329) with fresh symbols all_503_0, % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | all_503_1, all_503_2, all_503_3 gives: % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | (330) apart_point_and_line(all_38_1, all_38_5) = % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | all_503_0 & apart_point_and_line(all_38_2, % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | all_38_6) = all_503_1 & distinct_lines(all_38_5, % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | all_38_6) = all_503_2 & % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = all_503_3 & % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_503_2 = 0) | ~ (all_503_3 = 0) | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | all_503_0 = 0 | all_503_1 = 0) % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (330) implies: % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | (331) distinct_points(all_38_2, all_38_1) = all_503_3 % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | (332) distinct_lines(all_38_5, all_38_6) = all_503_2 % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | (333) apart_point_and_line(all_38_2, all_38_6) = % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | all_503_1 % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | (334) apart_point_and_line(all_38_1, all_38_5) = % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | all_503_0 % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | (335) ~ (all_503_2 = 0) | ~ (all_503_3 = 0) | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | all_503_0 = 0 | all_503_1 = 0 % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives: % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | | (336) all_51_0 = 0 % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (219), (336) imply: % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | | (337) $false % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (337) is inconsistent. % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.32/7.17 | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | (338) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = v2 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_6) = v3 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_6, all_38_5) = v1 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~ % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (338) with fresh symbols all_508_0, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | all_508_1, all_508_2, all_508_3 gives: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | (339) apart_point_and_line(all_38_1, all_38_5) = % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | all_508_1 & apart_point_and_line(all_38_2, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | all_38_6) = all_508_0 & distinct_lines(all_38_6, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_508_2 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = all_508_3 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_508_2 = 0) | ~ (all_508_3 = 0) | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | all_508_0 = 0 | all_508_1 = 0) % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (339) implies: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | (340) apart_point_and_line(all_38_2, all_38_6) = % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | all_508_0 % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | (341) apart_point_and_line(all_38_1, all_38_5) = % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | all_508_1 % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | (342) all_45_0 = 0 % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (342) imply: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | (343) $false % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (343) is inconsistent. % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | (344) ? [v0: int] : ( ~ (v0 = 0) & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_1, all_38_5) = v0) % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (344) with fresh symbol all_514_0 % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | (345) ~ (all_514_0 = 0) & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_1, all_38_5) = % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | all_514_0 % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (345) implies: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | (346) ~ (all_514_0 = 0) % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | (347) apart_point_and_line(all_38_1, all_38_5) = % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | all_514_0 % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | (348) all_49_0 = 0 % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (226), (348) imply: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | (349) $false % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (349) is inconsistent. % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | (350) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6) = v3 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v2 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_6) = v1 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~ % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (350) with fresh symbols all_529_0, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | all_529_1, all_529_2, all_529_3 gives: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | (351) apart_point_and_line(all_38_1, all_38_6) = % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | all_529_0 & apart_point_and_line(all_38_2, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_529_1 & distinct_lines(all_38_4, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6) = all_529_2 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = all_529_3 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_529_2 = 0) | ~ (all_529_3 = 0) | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | all_529_0 = 0 | all_529_1 = 0) % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (351) implies: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | (352) distinct_points(all_38_2, all_38_1) = all_529_3 % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (353) all_51_0 = 0 % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (219), (353) imply: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (354) $false % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (354) is inconsistent. % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (355) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_2, all_38_4) = v2 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_6) = v1 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_6, all_38_4) = v0 & ( ~ % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (355) with fresh symbols all_554_0, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | all_554_1, all_554_2 gives: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (356) apart_point_and_line(all_38_2, all_38_4) = % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | all_554_0 & apart_point_and_line(all_38_2, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6) = all_554_1 & distinct_lines(all_38_6, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_554_2 & ( ~ (all_554_2 = 0) | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | all_554_0 = 0 | all_554_1 = 0) % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (356) implies: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (357) apart_point_and_line(all_38_2, all_38_6) = % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | all_554_1 % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (358) all_49_0 = 0 % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (226), (358) imply: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (359) $false % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (359) is inconsistent. % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (360) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6) = v3 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v2 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_6, all_38_4) = v1 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~ % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (360) with fresh symbols all_559_0, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_559_1, all_559_2, all_559_3 gives: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (361) apart_point_and_line(all_38_1, all_38_6) = % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_559_0 & apart_point_and_line(all_38_2, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_559_1 & distinct_lines(all_38_6, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_559_2 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = all_559_3 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_559_2 = 0) | ~ (all_559_3 = 0) | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_559_0 = 0 | all_559_1 = 0) % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (361) implies: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (362) distinct_points(all_38_2, all_38_1) = all_559_3 % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363) all_51_0 = 0 % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (219), (363) imply: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (364) $false % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (364) is inconsistent. % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (365) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_2, all_38_4) = v1 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_6) = v2 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_6) = v0 & ( ~ % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (365) with fresh symbols all_564_0, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_564_1, all_564_2 gives: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (366) apart_point_and_line(all_38_2, all_38_4) = % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_564_1 & apart_point_and_line(all_38_2, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6) = all_564_0 & distinct_lines(all_38_4, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6) = all_564_2 & ( ~ (all_564_2 = 0) | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_564_0 = 0 | all_564_1 = 0) % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (366) implies: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (367) apart_point_and_line(all_38_2, all_38_6) = % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_564_0 % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (368) all_53_0 = 0 % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (225), (368) imply: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (369) $false % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (369) is inconsistent. % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = v3 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v2 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_5) = v1 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = v0 & ( ~ % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (370) with fresh symbols all_569_0, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_569_1, all_569_2, all_569_3 gives: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (371) apart_point_and_line(all_38_1, all_38_5) = % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_569_0 & apart_point_and_line(all_38_2, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_569_1 & distinct_lines(all_38_4, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_569_2 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_2, all_38_1) = all_569_3 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_569_2 = 0) | ~ (all_569_3 = 0) | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_569_0 = 0 | all_569_1 = 0) % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (371) implies: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (372) distinct_points(all_38_2, all_38_1) = all_569_3 % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373) apart_point_and_line(all_38_1, all_38_5) = % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_569_0 % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374) all_53_0 = 0 % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (225), (374) imply: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (375) $false % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (375) is inconsistent. % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_1, % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = v2 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_2, all_38_4) = v3 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_38_4, all_38_5) = v1 & % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = v0 & ( ~ % 39.32/7.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (376) with fresh symbols all_584_0, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_584_1, all_584_2, all_584_3 gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (377) apart_point_and_line(all_38_1, all_38_5) = % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_584_1 & apart_point_and_line(all_38_2, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_4) = all_584_0 & distinct_lines(all_38_4, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5) = all_584_2 & % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_1, all_38_2) = all_584_3 & % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_584_2 = 0) | ~ (all_584_3 = 0) | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_584_0 = 0 | all_584_1 = 0) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (377) implies: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (378) apart_point_and_line(all_38_1, all_38_5) = % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_584_1 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with 0, all_529_3, all_38_1, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, simplifying with (137), (352) gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (379) all_529_3 = 0 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_529_3, all_559_3, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_2, simplifying with (352), (362) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (380) all_559_3 = all_529_3 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_559_3, all_569_3, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_2, simplifying with (362), (372) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (381) all_569_3 = all_559_3 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with all_503_3, all_569_3, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_2, simplifying with (331), (372) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (382) all_569_3 = all_503_3 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_178_3, all_194_3, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6, all_38_6, simplifying with (254), (256) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (383) all_194_3 = all_178_3 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_194_3, all_206_2, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6, all_38_6, simplifying with (256), (260) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (384) all_206_2 = all_194_3 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_65_3, all_210_3, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6, all_38_6, simplifying with (97), (264) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (385) all_210_3 = all_65_3 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_208_2, all_210_3, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6, all_38_6, simplifying with (262), (264) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (386) all_210_3 = all_208_2 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_206_2, all_210_3, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6, all_38_6, simplifying with (260), (264) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (387) all_210_3 = all_206_2 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_206_2, all_212_3, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6, all_38_6, simplifying with (260), (266) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (388) all_212_3 = all_206_2 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_212_3, all_228_2, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6, all_38_6, simplifying with (266), (268) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389) all_228_2 = all_212_3 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_228_2, all_240_3, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6, all_38_6, simplifying with (268), (270) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (390) all_240_3 = all_228_2 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_240_3, all_248_2, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6, all_38_6, simplifying with (270), (272) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391) all_248_2 = all_240_3 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_248_2, all_292_3, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6, all_38_6, simplifying with (272), (274) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (392) all_292_3 = all_248_2 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_292_3, all_302_2, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6, all_38_6, simplifying with (274), (276) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (393) all_302_2 = all_292_3 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_302_2, all_358_0, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6, all_38_6, simplifying with (276), (281) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (394) all_358_0 = all_302_2 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_200_2, all_358_0, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6, all_38_6, simplifying with (258), (281) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (395) all_358_0 = all_200_2 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_368_0, all_414_0, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6, all_38_2, simplifying with (287), (305) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (396) all_414_0 = all_368_0 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_414_0, all_503_1, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6, all_38_2, simplifying with (305), (333) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (397) all_503_1 = all_414_0 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_503_1, all_508_0, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6, all_38_2, simplifying with (333), (340) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (398) all_508_0 = all_503_1 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_368_1, all_508_0, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6, all_38_2, simplifying with (286), (340) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (399) all_508_0 = all_368_1 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_414_1, all_554_1, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6, all_38_2, simplifying with (304), (357) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (400) all_554_1 = all_414_1 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_368_0, all_554_1, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6, all_38_2, simplifying with (287), (357) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (401) all_554_1 = all_368_0 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_49_0, all_564_0, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6, all_38_2, simplifying with (218), (367) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (402) all_564_0 = all_49_0 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_554_1, all_564_0, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_6, all_38_2, simplifying with (357), (367) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (403) all_564_0 = all_554_1 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_394_0, all_503_0, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5, all_38_1, simplifying with (299), (334) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (404) all_503_0 = all_394_0 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_514_0, all_569_0, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5, all_38_1, simplifying with (347), (373) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (405) all_569_0 = all_514_0 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_508_1, all_569_0, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5, all_38_1, simplifying with (341), (373) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (406) all_569_0 = all_508_1 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_503_0, all_569_0, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5, all_38_1, simplifying with (334), (373) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407) all_569_0 = all_503_0 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_514_0, all_584_1, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5, all_38_1, simplifying with (347), (378) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408) all_584_1 = all_514_0 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_394_1, all_584_1, % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5, all_38_1, simplifying with (298), (378) % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (409) all_584_1 = all_394_1 % 39.32/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (408), (409) imply: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (410) all_514_0 = all_394_1 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (410) implies: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (411) all_514_0 = all_394_1 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (406) imply: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (412) all_514_0 = all_508_1 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (412) implies: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (413) all_514_0 = all_508_1 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (407) imply: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414) all_508_1 = all_503_0 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (381), (382) imply: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (415) all_559_3 = all_503_3 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (415) implies: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (416) all_559_3 = all_503_3 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (403) imply: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (417) all_554_1 = all_49_0 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (417) implies: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (418) all_554_1 = all_49_0 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (380), (416) imply: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (419) all_529_3 = all_503_3 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (419) implies: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (420) all_529_3 = all_503_3 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (418) imply: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (421) all_414_1 = all_49_0 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (401) imply: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (422) all_414_1 = all_368_0 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (420) imply: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (423) all_503_3 = 0 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (413) imply: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (424) all_508_1 = all_394_1 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (424) implies: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (425) all_508_1 = all_394_1 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (398), (399) imply: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (426) all_503_1 = all_368_1 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (426) implies: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (427) all_503_1 = all_368_1 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (425) imply: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (428) all_503_0 = all_394_1 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (428) implies: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (429) all_503_0 = all_394_1 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (404), (429) imply: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (430) all_394_0 = all_394_1 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (427) imply: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (431) all_414_0 = all_368_1 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (431) implies: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (432) all_414_0 = all_368_1 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (432) imply: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (433) all_368_0 = all_368_1 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (433) implies: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (434) all_368_0 = all_368_1 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (422) imply: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (435) all_368_0 = all_49_0 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (435) implies: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (436) all_368_0 = all_49_0 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (434), (436) imply: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (437) all_368_1 = all_49_0 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (437) implies: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (438) all_368_1 = all_49_0 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (395) imply: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (439) all_302_2 = all_200_2 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (439) implies: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440) all_302_2 = all_200_2 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (393), (440) imply: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441) all_292_3 = all_200_2 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (441) implies: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (442) all_292_3 = all_200_2 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (442) imply: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (443) all_248_2 = all_200_2 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (443) implies: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (444) all_248_2 = all_200_2 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (444) imply: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (445) all_240_3 = all_200_2 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (445) implies: % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (446) all_240_3 = all_200_2 % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (446) imply: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (447) all_228_2 = all_200_2 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (447) implies: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (448) all_228_2 = all_200_2 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (448) imply: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (449) all_212_3 = all_200_2 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (449) implies: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450) all_212_3 = all_200_2 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (450) imply: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451) all_206_2 = all_200_2 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (451) implies: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (452) all_206_2 = all_200_2 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (386), (387) imply: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (453) all_208_2 = all_206_2 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (386) imply: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (454) all_208_2 = all_65_3 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (454) imply: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455) all_206_2 = all_65_3 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (455) implies: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (456) all_206_2 = all_65_3 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (452) imply: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (457) all_200_2 = all_194_3 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (456) imply: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (458) all_200_2 = all_65_3 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (457), (458) imply: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (459) all_194_3 = all_65_3 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (459) implies: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (460) all_194_3 = all_65_3 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (383), (460) imply: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (461) all_178_3 = all_65_3 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (461) implies: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (462) all_178_3 = all_65_3 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (427), (438) imply: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463) all_503_1 = all_49_0 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (346), (411) imply: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (464) ~ (all_394_1 = 0) % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (465) ~ (all_503_2 = 0) % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (466) distinct_lines(all_38_5, all_38_6) = 0 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_503_2, 0, all_38_6, % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_5, simplifying with (332), (466) gives: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (467) all_503_2 = 0 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (465), (467) imply: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (468) $false % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (468) is inconsistent. % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (469) all_65_3 = 0 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (469) imply: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (470) convergent_lines(all_38_6, all_38_6) = 0 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (apart3) with all_38_6, simplifying % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (33), (470) gives: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (471) $false % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (471) is inconsistent. % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472) ~ (all_503_3 = 0) | all_503_0 = 0 | all_503_1 = 0 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (472) gives: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (473) ~ (all_503_3 = 0) % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (423), (473) imply: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (474) $false % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (474) is inconsistent. % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (475) all_503_0 = 0 | all_503_1 = 0 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (475) gives: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (476) all_503_0 = 0 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (476) imply: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (477) all_394_1 = 0 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (464), (477) imply: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (478) $false % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (478) is inconsistent. % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (479) all_503_1 = 0 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (479) imply: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (480) all_49_0 = 0 % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (226), (480) imply: % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (481) $false % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (481) is inconsistent. % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | | % 39.47/7.20 | | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | | % 39.47/7.20 | | | | | | | | | End of split % 39.47/7.20 | | | | | | | | | % 39.47/7.20 | | | | | | | | End of split % 39.47/7.20 | | | | | | | | % 39.47/7.20 | | | | | | | Case 2: % 39.47/7.20 | | | | | | | | % 39.47/7.20 | | | | | | | | (482) ~ (all_57_1 = 0) % 39.47/7.20 | | | | | | | | % 39.47/7.20 | | | | | | | | REDUCE: (209), (482) imply: % 39.47/7.20 | | | | | | | | (483) $false % 39.47/7.20 | | | | | | | | % 39.47/7.20 | | | | | | | | CLOSE: (483) is inconsistent. % 39.47/7.20 | | | | | | | | % 39.47/7.20 | | | | | | | End of split % 39.47/7.20 | | | | | | | % 39.47/7.20 | | | | | | Case 2: % 39.47/7.20 | | | | | | | % 39.47/7.20 | | | | | | | (484) ~ (all_59_1 = 0) % 39.47/7.20 | | | | | | | % 39.47/7.20 | | | | | | | REDUCE: (208), (484) imply: % 39.47/7.20 | | | | | | | (485) $false % 39.47/7.20 | | | | | | | % 39.47/7.20 | | | | | | | CLOSE: (485) is inconsistent. % 39.47/7.20 | | | | | | | % 39.47/7.20 | | | | | | End of split % 39.47/7.20 | | | | | | % 39.47/7.20 | | | | | Case 2: % 39.47/7.20 | | | | | | % 39.47/7.20 | | | | | | (486) ~ (all_55_1 = 0) % 39.47/7.20 | | | | | | % 39.47/7.20 | | | | | | REDUCE: (212), (486) imply: % 39.47/7.20 | | | | | | (487) $false % 39.47/7.20 | | | | | | % 39.47/7.20 | | | | | | CLOSE: (487) is inconsistent. % 39.47/7.20 | | | | | | % 39.47/7.20 | | | | | End of split % 39.47/7.20 | | | | | % 39.47/7.20 | | | | Case 2: % 39.47/7.20 | | | | | % 39.47/7.20 | | | | | (488) ~ (all_51_1 = 0) % 39.47/7.20 | | | | | % 39.47/7.20 | | | | | REDUCE: (214), (488) imply: % 39.47/7.20 | | | | | (489) $false % 39.47/7.20 | | | | | % 39.47/7.20 | | | | | CLOSE: (489) is inconsistent. % 39.47/7.20 | | | | | % 39.47/7.20 | | | | End of split % 39.47/7.20 | | | | % 39.47/7.20 | | | Case 2: % 39.47/7.20 | | | | % 39.47/7.20 | | | | (490) all_38_0 = 0 % 39.47/7.20 | | | | % 39.47/7.20 | | | | REDUCE: (136), (490) imply: % 39.47/7.20 | | | | (491) $false % 39.47/7.20 | | | | % 39.47/7.20 | | | | CLOSE: (491) is inconsistent. % 39.47/7.20 | | | | % 39.47/7.20 | | | End of split % 39.47/7.20 | | | % 39.47/7.20 | | Case 2: % 39.47/7.20 | | | % 39.47/7.20 | | | (492) ~ (all_38_3 = 0) % 39.47/7.20 | | | % 39.47/7.20 | | | REDUCE: (134), (492) imply: % 39.47/7.20 | | | (493) $false % 39.47/7.20 | | | % 39.47/7.20 | | | CLOSE: (493) is inconsistent. % 39.47/7.20 | | | % 39.47/7.20 | | End of split % 39.47/7.20 | | % 39.47/7.20 | End of split % 39.47/7.20 | % 39.47/7.20 End of proof % 39.47/7.20 % SZS output end Proof for theBenchmark % 39.47/7.20 % 39.47/7.20 6596ms %------------------------------------------------------------------------------