%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GEO194+1 : TPTP v8.1.2. Released v3.3.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n003.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 23:22:06 EDT 2023 % Result : Theorem 15.09s 2.72s % Output : Proof 21.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GEO194+1 : TPTP v8.1.2. Released v3.3.0. % 0.03/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n003.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Tue Aug 29 22:48:56 EDT 2023 % 0.13/0.34 % CPUTime : % 0.49/0.61 ________ _____ % 0.49/0.61 ___ __ \_________(_)________________________________ % 0.49/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.49/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.49/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.49/0.61 % 0.49/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.49/0.61 (2023-06-19) % 0.49/0.61 % 0.49/0.61 (c) Philipp Rümmer, 2009-2023 % 0.49/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.49/0.61 Amanda Stjerna. % 0.49/0.61 Free software under BSD-3-Clause. % 0.49/0.61 % 0.49/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.49/0.61 % 0.49/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.49/0.62 Running up to 7 provers in parallel. % 0.49/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.49/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.49/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.49/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.49/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.49/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.49/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.48/1.06 Prover 1: Preprocessing ... % 2.48/1.06 Prover 4: Preprocessing ... % 2.67/1.10 Prover 0: Preprocessing ... % 2.67/1.10 Prover 3: Preprocessing ... % 2.67/1.10 Prover 6: Preprocessing ... % 2.67/1.10 Prover 5: Preprocessing ... % 2.67/1.10 Prover 2: Preprocessing ... % 4.43/1.33 Prover 2: Proving ... % 4.61/1.34 Prover 5: Proving ... % 4.61/1.36 Prover 6: Constructing countermodel ... % 4.61/1.36 Prover 1: Constructing countermodel ... % 4.61/1.37 Prover 3: Constructing countermodel ... % 5.23/1.47 Prover 0: Proving ... % 5.23/1.48 Prover 6: gave up % 5.23/1.48 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.65/1.49 Prover 1: gave up % 5.65/1.50 Prover 3: gave up % 5.65/1.50 Prover 4: Constructing countermodel ... % 5.65/1.50 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.65/1.50 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 5.65/1.51 Prover 7: Preprocessing ... % 5.65/1.53 Prover 9: Preprocessing ... % 5.65/1.53 Prover 8: Preprocessing ... % 5.65/1.54 Prover 7: Warning: ignoring some quantifiers % 6.23/1.56 Prover 7: Constructing countermodel ... % 6.85/1.65 Prover 8: Warning: ignoring some quantifiers % 6.85/1.66 Prover 8: Constructing countermodel ... % 6.85/1.71 Prover 9: Constructing countermodel ... % 6.85/1.71 Prover 8: gave up % 7.49/1.72 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 7.49/1.76 Prover 10: Preprocessing ... % 7.49/1.79 Prover 10: Warning: ignoring some quantifiers % 7.49/1.81 Prover 10: Constructing countermodel ... % 7.49/1.84 Prover 7: gave up % 8.08/1.85 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.08/1.87 Prover 10: gave up % 8.08/1.88 Prover 11: Preprocessing ... % 8.08/1.89 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 8.08/1.92 Prover 12: Preprocessing ... % 9.12/2.01 Prover 12: Proving ... % 9.68/2.06 Prover 11: Constructing countermodel ... % 15.09/2.72 Prover 9: proved (1217ms) % 15.09/2.72 % 15.09/2.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 15.09/2.72 % 15.09/2.74 Prover 5: stopped % 15.09/2.74 Prover 2: stopped % 15.09/2.74 Prover 0: stopped % 15.09/2.74 Prover 12: stopped % 15.09/2.74 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 15.09/2.74 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 15.09/2.74 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 15.31/2.75 Prover 13: Preprocessing ... % 15.31/2.75 Prover 19: Preprocessing ... % 15.31/2.76 Prover 16: Preprocessing ... % 15.31/2.78 Prover 13: Warning: ignoring some quantifiers % 15.31/2.78 Prover 13: Constructing countermodel ... % 15.31/2.79 Prover 16: Warning: ignoring some quantifiers % 15.31/2.79 Prover 16: Constructing countermodel ... % 15.31/2.80 Prover 19: Warning: ignoring some quantifiers % 15.31/2.80 Prover 19: Constructing countermodel ... % 15.89/2.83 Prover 19: gave up % 15.89/2.87 Prover 13: gave up % 17.29/3.08 Prover 16: gave up % 20.08/3.60 Prover 4: Found proof (size 324) % 20.08/3.60 Prover 4: proved (2971ms) % 20.08/3.60 Prover 11: stopped % 20.08/3.60 % 20.08/3.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 20.08/3.60 % 20.08/3.66 % SZS output start Proof for theBenchmark % 20.08/3.66 Assumptions after simplification: % 20.08/3.66 --------------------------------- % 20.08/3.66 % 20.08/3.66 (apart3) % 20.80/3.69 ! [v0: $i] : ( ~ (convergent_lines(v0, v0) = 0) | ~ $i(v0)) % 20.80/3.69 % 20.80/3.69 (ceq1) % 20.80/3.69 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = % 20.80/3.69 0 | v3 = 0 | ~ (apart_point_and_line(v2, v1) = v4) | ~ % 20.80/3.69 (distinct_points(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: % 20.80/3.69 int] : ( ~ (v5 = 0) & apart_point_and_line(v0, v1) = v5)) & ! [v0: $i] : % 20.80/3.69 ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 20.80/3.69 (apart_point_and_line(v2, v1) = v3) | ~ (apart_point_and_line(v0, v1) = 0) % 20.80/3.69 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | distinct_points(v0, v2) = 0) & ! [v0: % 20.80/3.69 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 20.80/3.69 (apart_point_and_line(v0, v1) = 0) | ~ (distinct_points(v0, v2) = v3) | ~ % 20.80/3.69 $i(v2) | ~ $i(v1) | ~ $i(v0) | apart_point_and_line(v2, v1) = 0) % 20.80/3.69 % 20.80/3.69 (ceq3) % 20.80/3.70 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = % 20.80/3.70 0 | v3 = 0 | ~ (convergent_lines(v0, v2) = v4) | ~ (distinct_lines(v1, v2) % 20.80/3.70 = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) & % 20.80/3.70 convergent_lines(v0, v1) = v5)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 20.80/3.70 : ! [v3: int] : (v3 = 0 | ~ (convergent_lines(v0, v2) = v3) | ~ % 20.80/3.70 (convergent_lines(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 20.80/3.70 distinct_lines(v1, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 20.80/3.70 [v3: int] : (v3 = 0 | ~ (convergent_lines(v0, v1) = 0) | ~ % 20.80/3.70 (distinct_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 20.80/3.70 convergent_lines(v0, v2) = 0) % 20.80/3.70 % 20.80/3.70 (ci3) % 20.80/3.70 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, v1) = % 20.80/3.70 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 20.80/3.70 (apart_point_and_line(v2, v0) = v4 & convergent_lines(v0, v1) = v3 & ( ~ (v4 % 20.80/3.70 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 20.80/3.70 (convergent_lines(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ? % 20.80/3.70 [v3: int] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 & % 20.80/3.70 apart_point_and_line(v2, v0) = v3 & $i(v2))) % 20.80/3.70 % 20.80/3.70 (ci4) % 20.80/3.71 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, v1) = % 20.80/3.71 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 20.80/3.71 (apart_point_and_line(v2, v1) = v4 & convergent_lines(v0, v1) = v3 & ( ~ (v4 % 20.80/3.71 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 20.80/3.71 (convergent_lines(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ? % 20.80/3.71 [v3: int] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 & % 20.80/3.71 apart_point_and_line(v2, v1) = v3 & $i(v2))) % 20.80/3.71 % 20.80/3.71 (con) % 20.80/3.71 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 20.80/3.71 int] : ( ~ (v5 = 0) & intersection_point(v0, v2) = v4 & % 20.80/3.71 intersection_point(v0, v1) = v3 & apart_point_and_line(v4, v1) = v5 & % 20.80/3.71 apart_point_and_line(v3, v2) = 0 & convergent_lines(v2, v1) = 0 & % 20.80/3.71 convergent_lines(v0, v2) = 0 & convergent_lines(v0, v1) = 0 & $i(v4) & % 20.80/3.71 $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 20.80/3.71 % 20.80/3.71 (cu1) % 20.80/3.72 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: % 20.80/3.72 int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) | ~ % 20.80/3.72 (apart_point_and_line(v1, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~ % 20.80/3.72 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : % 20.80/3.72 ? [v8: any] : (apart_point_and_line(v0, v3) = v8 & apart_point_and_line(v0, % 20.80/3.72 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = % 20.80/3.72 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 20.80/3.72 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = % 20.80/3.72 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ (distinct_lines(v2, v3) % 20.80/3.72 = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? % 20.80/3.72 [v7: any] : ? [v8: any] : (apart_point_and_line(v1, v2) = v8 & % 20.80/3.72 apart_point_and_line(v0, v2) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v6 % 20.80/3.72 = 0) | v8 = 0 | v7 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 20.80/3.72 ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ % 20.80/3.72 (apart_point_and_line(v1, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4) % 20.80/3.72 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: % 20.80/3.72 any] : ? [v8: any] : ? [v9: any] : (apart_point_and_line(v1, v2) = v9 & % 20.80/3.72 apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 & % 20.80/3.72 distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = % 20.80/3.72 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 20.80/3.72 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = % 20.80/3.72 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 20.80/3.72 $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: % 20.80/3.72 any] : (apart_point_and_line(v1, v3) = v9 & apart_point_and_line(v0, v2) = % 20.80/3.72 v8 & distinct_lines(v2, v3) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v7 % 20.80/3.72 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = 0))) & ! [v0: $i] : ! [v1: $i] : % 20.80/3.72 ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ % 20.80/3.72 (apart_point_and_line(v1, v2) = v5) | ~ (apart_point_and_line(v0, v2) = v4) % 20.80/3.72 | ~ (distinct_lines(v2, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 20.80/3.72 $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : % 20.80/3.72 (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v0, v3) = v7 & % 20.80/3.72 distinct_points(v0, v1) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) & ! [v0: % 20.80/3.72 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] % 20.80/3.72 : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v0, v3) = v5) | ~ % 20.80/3.72 (apart_point_and_line(v0, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~ % 20.80/3.72 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : % 20.80/3.72 ? [v8: any] : (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v1, % 20.80/3.72 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = % 20.80/3.72 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 20.80/3.72 (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ~ $i(v3) % 20.80/3.72 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: % 20.80/3.72 any] : ? [v7: any] : (apart_point_and_line(v1, v3) = v7 & % 20.80/3.72 apart_point_and_line(v1, v2) = v6 & apart_point_and_line(v0, v3) = v5 & % 20.80/3.72 apart_point_and_line(v0, v2) = v4 & (v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0))) % 20.80/3.72 % 20.80/3.72 (function-axioms) % 20.80/3.73 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 20.80/3.73 (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0)) & % 20.80/3.73 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 20.80/3.73 (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0)) & ! % 20.80/3.73 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 20.80/3.73 $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ % 20.80/3.73 (apart_point_and_line(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.80/3.73 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 20.80/3.73 (convergent_lines(v3, v2) = v1) | ~ (convergent_lines(v3, v2) = v0)) & ! % 20.80/3.73 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 20.80/3.73 $i] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, % 20.80/3.73 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 20.80/3.73 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ % 20.80/3.73 (distinct_points(v3, v2) = v0)) % 20.80/3.73 % 20.80/3.73 Further assumptions not needed in the proof: % 20.80/3.73 -------------------------------------------- % 20.80/3.73 apart1, apart2, apart4, apart5, ax6, ceq2, ci1, ci2 % 20.80/3.73 % 20.80/3.73 Those formulas are unsatisfiable: % 20.80/3.73 --------------------------------- % 20.80/3.73 % 20.80/3.73 Begin of proof % 20.80/3.73 | % 20.80/3.73 | ALPHA: (ci3) implies: % 20.80/3.73 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (convergent_lines(v0, v1) = 0) | ~ % 20.80/3.73 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) & % 20.80/3.73 | intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v0) = v3 % 20.80/3.73 | & $i(v2))) % 20.80/3.73 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, % 20.80/3.73 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 20.80/3.73 | (apart_point_and_line(v2, v0) = v4 & convergent_lines(v0, v1) = v3 & % 20.80/3.73 | ( ~ (v4 = 0) | ~ (v3 = 0)))) % 20.80/3.73 | % 20.80/3.73 | ALPHA: (ci4) implies: % 20.80/3.73 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (convergent_lines(v0, v1) = 0) | ~ % 20.80/3.73 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) & % 20.80/3.73 | intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v1) = v3 % 20.80/3.73 | & $i(v2))) % 20.80/3.73 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, % 20.80/3.73 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 20.80/3.73 | (apart_point_and_line(v2, v1) = v4 & convergent_lines(v0, v1) = v3 & % 20.80/3.73 | ( ~ (v4 = 0) | ~ (v3 = 0)))) % 20.80/3.73 | % 20.80/3.73 | ALPHA: (cu1) implies: % 20.80/3.73 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 20.80/3.73 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = v5) % 20.80/3.73 | | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 20.80/3.73 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? % 20.80/3.73 | [v9: any] : (apart_point_and_line(v1, v3) = v9 & % 20.80/3.73 | apart_point_and_line(v0, v2) = v8 & distinct_lines(v2, v3) = v7 & % 20.80/3.73 | distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 % 20.80/3.73 | | v8 = 0))) % 20.80/3.74 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 20.80/3.74 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) % 20.80/3.74 | | ~ (apart_point_and_line(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 20.80/3.74 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? % 20.80/3.74 | [v9: any] : (apart_point_and_line(v1, v2) = v9 & % 20.80/3.74 | apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 & % 20.80/3.74 | distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 % 20.80/3.74 | | v8 = 0))) % 20.80/3.74 | % 20.80/3.74 | ALPHA: (ceq1) implies: % 20.80/3.74 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 20.80/3.74 | (apart_point_and_line(v2, v1) = v3) | ~ (apart_point_and_line(v0, % 20.80/3.74 | v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 20.80/3.74 | distinct_points(v0, v2) = 0) % 20.80/3.74 | % 20.80/3.74 | ALPHA: (ceq3) implies: % 20.80/3.74 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 20.80/3.74 | (convergent_lines(v0, v1) = 0) | ~ (distinct_lines(v1, v2) = v3) | % 20.80/3.74 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | convergent_lines(v0, v2) = 0) % 20.80/3.74 | % 20.80/3.74 | ALPHA: (function-axioms) implies: % 20.80/3.74 | (9) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 20.80/3.74 | ! [v3: $i] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ % 20.80/3.74 | (distinct_points(v3, v2) = v0)) % 20.80/3.74 | (10) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 20.80/3.74 | : ! [v3: $i] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ % 20.80/3.74 | (distinct_lines(v3, v2) = v0)) % 20.80/3.74 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 20.80/3.74 | : ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ % 20.80/3.74 | (convergent_lines(v3, v2) = v0)) % 20.80/3.74 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 20.80/3.74 | : ! [v3: $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ % 20.80/3.74 | (apart_point_and_line(v3, v2) = v0)) % 20.80/3.74 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 20.80/3.74 | (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = % 20.80/3.74 | v0)) % 20.80/3.74 | % 20.80/3.74 | DELTA: instantiating (con) with fresh symbols all_17_0, all_17_1, all_17_2, % 20.80/3.74 | all_17_3, all_17_4, all_17_5 gives: % 20.80/3.74 | (14) ~ (all_17_0 = 0) & intersection_point(all_17_5, all_17_3) = all_17_1 % 20.80/3.74 | & intersection_point(all_17_5, all_17_4) = all_17_2 & % 20.80/3.74 | apart_point_and_line(all_17_1, all_17_4) = all_17_0 & % 20.80/3.74 | apart_point_and_line(all_17_2, all_17_3) = 0 & % 20.80/3.74 | convergent_lines(all_17_3, all_17_4) = 0 & convergent_lines(all_17_5, % 20.80/3.74 | all_17_3) = 0 & convergent_lines(all_17_5, all_17_4) = 0 & % 20.80/3.74 | $i(all_17_1) & $i(all_17_2) & $i(all_17_3) & $i(all_17_4) & % 20.80/3.74 | $i(all_17_5) % 20.80/3.74 | % 20.80/3.74 | ALPHA: (14) implies: % 20.80/3.74 | (15) ~ (all_17_0 = 0) % 20.80/3.74 | (16) $i(all_17_5) % 20.80/3.74 | (17) $i(all_17_4) % 20.80/3.74 | (18) $i(all_17_3) % 20.80/3.74 | (19) $i(all_17_1) % 20.80/3.74 | (20) convergent_lines(all_17_5, all_17_4) = 0 % 20.80/3.74 | (21) convergent_lines(all_17_5, all_17_3) = 0 % 20.80/3.74 | (22) convergent_lines(all_17_3, all_17_4) = 0 % 20.80/3.74 | (23) apart_point_and_line(all_17_2, all_17_3) = 0 % 20.80/3.74 | (24) apart_point_and_line(all_17_1, all_17_4) = all_17_0 % 20.80/3.74 | (25) intersection_point(all_17_5, all_17_4) = all_17_2 % 20.80/3.74 | (26) intersection_point(all_17_5, all_17_3) = all_17_1 % 20.80/3.74 | % 20.80/3.74 | GROUND_INST: instantiating (3) with all_17_5, all_17_4, simplifying with (16), % 20.80/3.74 | (17), (20) gives: % 20.80/3.75 | (27) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 20.80/3.75 | intersection_point(all_17_5, all_17_4) = v0 & % 20.80/3.75 | apart_point_and_line(v0, all_17_4) = v1 & $i(v0)) % 20.80/3.75 | % 20.80/3.75 | GROUND_INST: instantiating (1) with all_17_5, all_17_4, simplifying with (16), % 20.80/3.75 | (17), (20) gives: % 20.80/3.75 | (28) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 20.80/3.75 | intersection_point(all_17_5, all_17_4) = v0 & % 20.80/3.75 | apart_point_and_line(v0, all_17_5) = v1 & $i(v0)) % 20.80/3.75 | % 20.80/3.75 | GROUND_INST: instantiating (3) with all_17_5, all_17_3, simplifying with (16), % 20.80/3.75 | (18), (21) gives: % 20.80/3.75 | (29) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 20.80/3.75 | intersection_point(all_17_5, all_17_3) = v0 & % 20.80/3.75 | apart_point_and_line(v0, all_17_3) = v1 & $i(v0)) % 20.80/3.75 | % 20.80/3.75 | GROUND_INST: instantiating (1) with all_17_5, all_17_3, simplifying with (16), % 20.80/3.75 | (18), (21) gives: % 20.80/3.75 | (30) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 20.80/3.75 | intersection_point(all_17_5, all_17_3) = v0 & % 20.80/3.75 | apart_point_and_line(v0, all_17_5) = v1 & $i(v0)) % 20.80/3.75 | % 20.80/3.75 | GROUND_INST: instantiating (3) with all_17_3, all_17_4, simplifying with (17), % 20.80/3.75 | (18), (22) gives: % 20.80/3.75 | (31) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 20.80/3.75 | intersection_point(all_17_3, all_17_4) = v0 & % 20.80/3.75 | apart_point_and_line(v0, all_17_4) = v1 & $i(v0)) % 20.80/3.75 | % 20.80/3.75 | GROUND_INST: instantiating (1) with all_17_3, all_17_4, simplifying with (17), % 20.80/3.75 | (18), (22) gives: % 20.80/3.75 | (32) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 20.80/3.75 | intersection_point(all_17_3, all_17_4) = v0 & % 20.80/3.75 | apart_point_and_line(v0, all_17_3) = v1 & $i(v0)) % 20.80/3.75 | % 20.80/3.75 | GROUND_INST: instantiating (6) with all_17_1, all_17_1, all_17_4, all_17_4, % 20.80/3.75 | all_17_0, all_17_0, simplifying with (17), (19), (24) gives: % 20.80/3.75 | (33) all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: % 20.80/3.75 | any] : (apart_point_and_line(all_17_1, all_17_4) = v3 & % 20.80/3.75 | apart_point_and_line(all_17_1, all_17_4) = v2 & % 20.80/3.75 | distinct_lines(all_17_4, all_17_4) = v1 & distinct_points(all_17_1, % 20.80/3.75 | all_17_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 20.80/3.75 | % 20.80/3.75 | GROUND_INST: instantiating (4) with all_17_5, all_17_4, all_17_2, simplifying % 20.80/3.75 | with (16), (17), (25) gives: % 20.80/3.75 | (34) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_17_2, % 20.80/3.75 | all_17_4) = v1 & convergent_lines(all_17_5, all_17_4) = v0 & ( ~ % 20.80/3.75 | (v1 = 0) | ~ (v0 = 0))) % 20.80/3.75 | % 20.80/3.75 | GROUND_INST: instantiating (2) with all_17_5, all_17_4, all_17_2, simplifying % 20.80/3.75 | with (16), (17), (25) gives: % 20.80/3.75 | (35) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_17_2, % 20.80/3.75 | all_17_5) = v1 & convergent_lines(all_17_5, all_17_4) = v0 & ( ~ % 20.80/3.75 | (v1 = 0) | ~ (v0 = 0))) % 20.80/3.75 | % 20.80/3.75 | GROUND_INST: instantiating (4) with all_17_5, all_17_3, all_17_1, simplifying % 20.80/3.75 | with (16), (18), (26) gives: % 20.80/3.75 | (36) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_17_1, % 20.80/3.75 | all_17_3) = v1 & convergent_lines(all_17_5, all_17_3) = v0 & ( ~ % 20.80/3.75 | (v1 = 0) | ~ (v0 = 0))) % 20.80/3.75 | % 20.80/3.75 | GROUND_INST: instantiating (2) with all_17_5, all_17_3, all_17_1, simplifying % 20.80/3.75 | with (16), (18), (26) gives: % 20.80/3.75 | (37) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_17_1, % 20.80/3.75 | all_17_5) = v1 & convergent_lines(all_17_5, all_17_3) = v0 & ( ~ % 20.80/3.75 | (v1 = 0) | ~ (v0 = 0))) % 20.80/3.75 | % 20.80/3.75 | DELTA: instantiating (37) with fresh symbols all_24_0, all_24_1 gives: % 20.80/3.75 | (38) apart_point_and_line(all_17_1, all_17_5) = all_24_0 & % 20.80/3.75 | convergent_lines(all_17_5, all_17_3) = all_24_1 & ( ~ (all_24_0 = 0) | % 20.80/3.75 | ~ (all_24_1 = 0)) % 20.80/3.75 | % 20.80/3.75 | ALPHA: (38) implies: % 20.80/3.76 | (39) apart_point_and_line(all_17_1, all_17_5) = all_24_0 % 20.80/3.76 | % 20.80/3.76 | DELTA: instantiating (34) with fresh symbols all_26_0, all_26_1 gives: % 20.80/3.76 | (40) apart_point_and_line(all_17_2, all_17_4) = all_26_0 & % 20.80/3.76 | convergent_lines(all_17_5, all_17_4) = all_26_1 & ( ~ (all_26_0 = 0) | % 20.80/3.76 | ~ (all_26_1 = 0)) % 20.80/3.76 | % 20.80/3.76 | ALPHA: (40) implies: % 20.80/3.76 | (41) convergent_lines(all_17_5, all_17_4) = all_26_1 % 20.80/3.76 | (42) apart_point_and_line(all_17_2, all_17_4) = all_26_0 % 20.80/3.76 | % 20.80/3.76 | DELTA: instantiating (32) with fresh symbols all_28_0, all_28_1 gives: % 20.80/3.76 | (43) ~ (all_28_0 = 0) & intersection_point(all_17_3, all_17_4) = all_28_1 % 20.80/3.76 | & apart_point_and_line(all_28_1, all_17_3) = all_28_0 & $i(all_28_1) % 20.80/3.76 | % 20.80/3.76 | ALPHA: (43) implies: % 20.80/3.76 | (44) intersection_point(all_17_3, all_17_4) = all_28_1 % 20.80/3.76 | % 21.15/3.76 | DELTA: instantiating (31) with fresh symbols all_30_0, all_30_1 gives: % 21.15/3.76 | (45) ~ (all_30_0 = 0) & intersection_point(all_17_3, all_17_4) = all_30_1 % 21.15/3.76 | & apart_point_and_line(all_30_1, all_17_4) = all_30_0 & $i(all_30_1) % 21.15/3.76 | % 21.15/3.76 | ALPHA: (45) implies: % 21.15/3.76 | (46) ~ (all_30_0 = 0) % 21.15/3.76 | (47) $i(all_30_1) % 21.15/3.76 | (48) apart_point_and_line(all_30_1, all_17_4) = all_30_0 % 21.15/3.76 | (49) intersection_point(all_17_3, all_17_4) = all_30_1 % 21.15/3.76 | % 21.15/3.76 | DELTA: instantiating (36) with fresh symbols all_32_0, all_32_1 gives: % 21.15/3.76 | (50) apart_point_and_line(all_17_1, all_17_3) = all_32_0 & % 21.15/3.76 | convergent_lines(all_17_5, all_17_3) = all_32_1 & ( ~ (all_32_0 = 0) | % 21.15/3.76 | ~ (all_32_1 = 0)) % 21.15/3.76 | % 21.15/3.76 | ALPHA: (50) implies: % 21.15/3.76 | (51) convergent_lines(all_17_5, all_17_3) = all_32_1 % 21.15/3.76 | (52) apart_point_and_line(all_17_1, all_17_3) = all_32_0 % 21.15/3.76 | (53) ~ (all_32_0 = 0) | ~ (all_32_1 = 0) % 21.15/3.76 | % 21.15/3.76 | DELTA: instantiating (35) with fresh symbols all_34_0, all_34_1 gives: % 21.15/3.76 | (54) apart_point_and_line(all_17_2, all_17_5) = all_34_0 & % 21.15/3.76 | convergent_lines(all_17_5, all_17_4) = all_34_1 & ( ~ (all_34_0 = 0) | % 21.15/3.76 | ~ (all_34_1 = 0)) % 21.15/3.76 | % 21.15/3.76 | ALPHA: (54) implies: % 21.15/3.76 | (55) convergent_lines(all_17_5, all_17_4) = all_34_1 % 21.15/3.76 | (56) apart_point_and_line(all_17_2, all_17_5) = all_34_0 % 21.15/3.76 | % 21.15/3.76 | DELTA: instantiating (30) with fresh symbols all_36_0, all_36_1 gives: % 21.15/3.76 | (57) ~ (all_36_0 = 0) & intersection_point(all_17_5, all_17_3) = all_36_1 % 21.15/3.76 | & apart_point_and_line(all_36_1, all_17_5) = all_36_0 & $i(all_36_1) % 21.15/3.76 | % 21.15/3.76 | ALPHA: (57) implies: % 21.15/3.76 | (58) ~ (all_36_0 = 0) % 21.15/3.76 | (59) $i(all_36_1) % 21.15/3.76 | (60) apart_point_and_line(all_36_1, all_17_5) = all_36_0 % 21.15/3.76 | (61) intersection_point(all_17_5, all_17_3) = all_36_1 % 21.15/3.76 | % 21.15/3.76 | DELTA: instantiating (29) with fresh symbols all_38_0, all_38_1 gives: % 21.15/3.76 | (62) ~ (all_38_0 = 0) & intersection_point(all_17_5, all_17_3) = all_38_1 % 21.15/3.76 | & apart_point_and_line(all_38_1, all_17_3) = all_38_0 & $i(all_38_1) % 21.15/3.76 | % 21.15/3.76 | ALPHA: (62) implies: % 21.15/3.76 | (63) ~ (all_38_0 = 0) % 21.15/3.76 | (64) apart_point_and_line(all_38_1, all_17_3) = all_38_0 % 21.15/3.76 | (65) intersection_point(all_17_5, all_17_3) = all_38_1 % 21.15/3.76 | % 21.15/3.76 | DELTA: instantiating (28) with fresh symbols all_40_0, all_40_1 gives: % 21.15/3.76 | (66) ~ (all_40_0 = 0) & intersection_point(all_17_5, all_17_4) = all_40_1 % 21.15/3.76 | & apart_point_and_line(all_40_1, all_17_5) = all_40_0 & $i(all_40_1) % 21.15/3.76 | % 21.15/3.76 | ALPHA: (66) implies: % 21.15/3.76 | (67) ~ (all_40_0 = 0) % 21.15/3.76 | (68) $i(all_40_1) % 21.15/3.76 | (69) apart_point_and_line(all_40_1, all_17_5) = all_40_0 % 21.15/3.76 | (70) intersection_point(all_17_5, all_17_4) = all_40_1 % 21.15/3.76 | % 21.15/3.76 | DELTA: instantiating (27) with fresh symbols all_42_0, all_42_1 gives: % 21.15/3.76 | (71) ~ (all_42_0 = 0) & intersection_point(all_17_5, all_17_4) = all_42_1 % 21.15/3.76 | & apart_point_and_line(all_42_1, all_17_4) = all_42_0 & $i(all_42_1) % 21.15/3.76 | % 21.15/3.76 | ALPHA: (71) implies: % 21.15/3.76 | (72) ~ (all_42_0 = 0) % 21.15/3.76 | (73) apart_point_and_line(all_42_1, all_17_4) = all_42_0 % 21.15/3.76 | (74) intersection_point(all_17_5, all_17_4) = all_42_1 % 21.15/3.76 | % 21.15/3.76 | BETA: splitting (33) gives: % 21.15/3.76 | % 21.15/3.76 | Case 1: % 21.15/3.76 | | % 21.15/3.76 | | (75) all_17_0 = 0 % 21.15/3.76 | | % 21.15/3.76 | | REDUCE: (15), (75) imply: % 21.15/3.76 | | (76) $false % 21.15/3.77 | | % 21.15/3.77 | | CLOSE: (76) is inconsistent. % 21.15/3.77 | | % 21.15/3.77 | Case 2: % 21.15/3.77 | | % 21.15/3.77 | | (77) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 21.15/3.77 | | (apart_point_and_line(all_17_1, all_17_4) = v3 & % 21.15/3.77 | | apart_point_and_line(all_17_1, all_17_4) = v2 & % 21.15/3.77 | | distinct_lines(all_17_4, all_17_4) = v1 & % 21.15/3.77 | | distinct_points(all_17_1, all_17_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 21.15/3.77 | | 0) | v3 = 0 | v2 = 0)) % 21.15/3.77 | | % 21.15/3.77 | | DELTA: instantiating (77) with fresh symbols all_48_0, all_48_1, all_48_2, % 21.15/3.77 | | all_48_3 gives: % 21.15/3.77 | | (78) apart_point_and_line(all_17_1, all_17_4) = all_48_0 & % 21.15/3.77 | | apart_point_and_line(all_17_1, all_17_4) = all_48_1 & % 21.15/3.77 | | distinct_lines(all_17_4, all_17_4) = all_48_2 & % 21.15/3.77 | | distinct_points(all_17_1, all_17_1) = all_48_3 & ( ~ (all_48_2 = 0) % 21.15/3.77 | | | ~ (all_48_3 = 0) | all_48_0 = 0 | all_48_1 = 0) % 21.15/3.77 | | % 21.15/3.77 | | ALPHA: (78) implies: % 21.15/3.77 | | (79) apart_point_and_line(all_17_1, all_17_4) = all_48_1 % 21.15/3.77 | | (80) apart_point_and_line(all_17_1, all_17_4) = all_48_0 % 21.15/3.77 | | % 21.15/3.77 | | GROUND_INST: instantiating (11) with 0, all_34_1, all_17_4, all_17_5, % 21.15/3.77 | | simplifying with (20), (55) gives: % 21.15/3.77 | | (81) all_34_1 = 0 % 21.15/3.77 | | % 21.20/3.77 | | GROUND_INST: instantiating (11) with all_26_1, all_34_1, all_17_4, all_17_5, % 21.20/3.77 | | simplifying with (41), (55) gives: % 21.20/3.77 | | (82) all_34_1 = all_26_1 % 21.20/3.77 | | % 21.20/3.77 | | GROUND_INST: instantiating (11) with 0, all_32_1, all_17_3, all_17_5, % 21.20/3.77 | | simplifying with (21), (51) gives: % 21.20/3.77 | | (83) all_32_1 = 0 % 21.20/3.77 | | % 21.20/3.77 | | GROUND_INST: instantiating (12) with all_17_0, all_48_0, all_17_4, all_17_1, % 21.20/3.77 | | simplifying with (24), (80) gives: % 21.20/3.77 | | (84) all_48_0 = all_17_0 % 21.20/3.77 | | % 21.20/3.77 | | GROUND_INST: instantiating (12) with all_48_1, all_48_0, all_17_4, all_17_1, % 21.20/3.77 | | simplifying with (79), (80) gives: % 21.20/3.77 | | (85) all_48_0 = all_48_1 % 21.20/3.77 | | % 21.20/3.77 | | GROUND_INST: instantiating (13) with all_17_2, all_42_1, all_17_4, all_17_5, % 21.20/3.77 | | simplifying with (25), (74) gives: % 21.20/3.77 | | (86) all_42_1 = all_17_2 % 21.20/3.77 | | % 21.20/3.77 | | GROUND_INST: instantiating (13) with all_40_1, all_42_1, all_17_4, all_17_5, % 21.20/3.77 | | simplifying with (70), (74) gives: % 21.20/3.77 | | (87) all_42_1 = all_40_1 % 21.20/3.77 | | % 21.20/3.77 | | GROUND_INST: instantiating (13) with all_17_1, all_38_1, all_17_3, all_17_5, % 21.20/3.77 | | simplifying with (26), (65) gives: % 21.20/3.77 | | (88) all_38_1 = all_17_1 % 21.20/3.77 | | % 21.20/3.77 | | GROUND_INST: instantiating (13) with all_36_1, all_38_1, all_17_3, all_17_5, % 21.20/3.77 | | simplifying with (61), (65) gives: % 21.20/3.77 | | (89) all_38_1 = all_36_1 % 21.20/3.77 | | % 21.20/3.77 | | GROUND_INST: instantiating (13) with all_28_1, all_30_1, all_17_4, all_17_3, % 21.20/3.77 | | simplifying with (44), (49) gives: % 21.20/3.77 | | (90) all_30_1 = all_28_1 % 21.20/3.77 | | % 21.20/3.77 | | COMBINE_EQS: (84), (85) imply: % 21.20/3.77 | | (91) all_48_1 = all_17_0 % 21.20/3.77 | | % 21.20/3.77 | | SIMP: (91) implies: % 21.20/3.77 | | (92) all_48_1 = all_17_0 % 21.20/3.77 | | % 21.20/3.77 | | COMBINE_EQS: (86), (87) imply: % 21.20/3.77 | | (93) all_40_1 = all_17_2 % 21.20/3.77 | | % 21.20/3.77 | | SIMP: (93) implies: % 21.20/3.77 | | (94) all_40_1 = all_17_2 % 21.20/3.77 | | % 21.20/3.77 | | COMBINE_EQS: (88), (89) imply: % 21.20/3.77 | | (95) all_36_1 = all_17_1 % 21.20/3.77 | | % 21.20/3.77 | | COMBINE_EQS: (81), (82) imply: % 21.20/3.77 | | (96) all_26_1 = 0 % 21.20/3.77 | | % 21.20/3.77 | | REDUCE: (73), (86) imply: % 21.20/3.77 | | (97) apart_point_and_line(all_17_2, all_17_4) = all_42_0 % 21.20/3.77 | | % 21.20/3.77 | | REDUCE: (69), (94) imply: % 21.20/3.77 | | (98) apart_point_and_line(all_17_2, all_17_5) = all_40_0 % 21.20/3.77 | | % 21.20/3.77 | | REDUCE: (64), (88) imply: % 21.20/3.77 | | (99) apart_point_and_line(all_17_1, all_17_3) = all_38_0 % 21.20/3.77 | | % 21.20/3.78 | | REDUCE: (60), (95) imply: % 21.20/3.78 | | (100) apart_point_and_line(all_17_1, all_17_5) = all_36_0 % 21.20/3.78 | | % 21.20/3.78 | | REDUCE: (48), (90) imply: % 21.20/3.78 | | (101) apart_point_and_line(all_28_1, all_17_4) = all_30_0 % 21.20/3.78 | | % 21.20/3.78 | | REDUCE: (68), (94) imply: % 21.20/3.78 | | (102) $i(all_17_2) % 21.20/3.78 | | % 21.20/3.78 | | REDUCE: (47), (90) imply: % 21.20/3.78 | | (103) $i(all_28_1) % 21.20/3.78 | | % 21.20/3.78 | | BETA: splitting (53) gives: % 21.20/3.78 | | % 21.20/3.78 | | Case 1: % 21.20/3.78 | | | % 21.20/3.78 | | | % 21.20/3.78 | | | GROUND_INST: instantiating (12) with all_34_0, all_40_0, all_17_5, % 21.20/3.78 | | | all_17_2, simplifying with (56), (98) gives: % 21.20/3.78 | | | (104) all_40_0 = all_34_0 % 21.20/3.78 | | | % 21.20/3.78 | | | GROUND_INST: instantiating (12) with all_26_0, all_42_0, all_17_4, % 21.20/3.78 | | | all_17_2, simplifying with (42), (97) gives: % 21.20/3.78 | | | (105) all_42_0 = all_26_0 % 21.20/3.78 | | | % 21.20/3.78 | | | GROUND_INST: instantiating (12) with all_24_0, all_36_0, all_17_5, % 21.20/3.78 | | | all_17_1, simplifying with (39), (100) gives: % 21.20/3.78 | | | (106) all_36_0 = all_24_0 % 21.20/3.78 | | | % 21.20/3.78 | | | GROUND_INST: instantiating (12) with all_32_0, all_38_0, all_17_3, % 21.20/3.78 | | | all_17_1, simplifying with (52), (99) gives: % 21.20/3.78 | | | (107) all_38_0 = all_32_0 % 21.20/3.78 | | | % 21.20/3.78 | | | REDUCE: (72), (105) imply: % 21.20/3.78 | | | (108) ~ (all_26_0 = 0) % 21.20/3.78 | | | % 21.20/3.78 | | | REDUCE: (67), (104) imply: % 21.20/3.78 | | | (109) ~ (all_34_0 = 0) % 21.20/3.78 | | | % 21.20/3.78 | | | REDUCE: (63), (107) imply: % 21.20/3.78 | | | (110) ~ (all_32_0 = 0) % 21.20/3.78 | | | % 21.20/3.78 | | | REDUCE: (58), (106) imply: % 21.20/3.78 | | | (111) ~ (all_24_0 = 0) % 21.20/3.78 | | | % 21.20/3.78 | | | GROUND_INST: instantiating (6) with all_17_2, all_17_1, all_17_5, % 21.20/3.78 | | | all_17_4, all_34_0, all_17_0, simplifying with (16), (17), % 21.20/3.78 | | | (19), (24), (56), (102) gives: % 21.20/3.78 | | | (112) all_34_0 = 0 | all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.20/3.78 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_1, % 21.20/3.78 | | | all_17_5) = v3 & apart_point_and_line(all_17_2, all_17_4) = % 21.20/3.78 | | | v2 & distinct_lines(all_17_5, all_17_4) = v1 & % 21.20/3.78 | | | distinct_points(all_17_2, all_17_1) = v0 & ( ~ (v1 = 0) | ~ % 21.20/3.78 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 21.20/3.78 | | | % 21.20/3.78 | | | GROUND_INST: instantiating (5) with all_17_2, all_17_1, all_17_4, % 21.20/3.78 | | | all_17_5, all_34_0, all_17_0, simplifying with (16), (17), % 21.20/3.78 | | | (19), (24), (56), (102) gives: % 21.20/3.78 | | | (113) all_34_0 = 0 | all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.20/3.78 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_1, % 21.20/3.78 | | | all_17_5) = v3 & apart_point_and_line(all_17_2, all_17_4) = % 21.20/3.78 | | | v2 & distinct_lines(all_17_4, all_17_5) = v1 & % 21.20/3.78 | | | distinct_points(all_17_2, all_17_1) = v0 & ( ~ (v1 = 0) | ~ % 21.20/3.78 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 21.20/3.78 | | | % 21.20/3.78 | | | GROUND_INST: instantiating (6) with all_17_2, all_17_2, all_17_5, % 21.20/3.78 | | | all_17_5, all_34_0, all_34_0, simplifying with (16), (56), % 21.20/3.78 | | | (102) gives: % 21.20/3.78 | | | (114) all_34_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 21.20/3.78 | | | [v3: any] : (apart_point_and_line(all_17_2, all_17_5) = v3 & % 21.20/3.78 | | | apart_point_and_line(all_17_2, all_17_5) = v2 & % 21.20/3.78 | | | distinct_lines(all_17_5, all_17_5) = v1 & % 21.20/3.78 | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 21.20/3.78 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 21.20/3.78 | | | % 21.20/3.78 | | | GROUND_INST: instantiating (6) with all_17_1, all_17_2, all_17_4, % 21.20/3.78 | | | all_17_4, all_17_0, all_26_0, simplifying with (17), (19), % 21.20/3.78 | | | (24), (42), (102) gives: % 21.20/3.79 | | | (115) all_26_0 = 0 | all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.20/3.79 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_1, % 21.20/3.79 | | | all_17_4) = v2 & apart_point_and_line(all_17_2, all_17_4) = % 21.20/3.79 | | | v3 & distinct_lines(all_17_4, all_17_4) = v1 & % 21.20/3.79 | | | distinct_points(all_17_1, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 21.20/3.79 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 21.20/3.79 | | | % 21.20/3.79 | | | GROUND_INST: instantiating (6) with all_17_2, all_17_2, all_17_5, % 21.20/3.79 | | | all_17_4, all_34_0, all_26_0, simplifying with (16), (17), % 21.20/3.79 | | | (42), (56), (102) gives: % 21.20/3.79 | | | (116) all_34_0 = 0 | all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.20/3.79 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_2, % 21.20/3.79 | | | all_17_4) = v2 & apart_point_and_line(all_17_2, all_17_5) = % 21.20/3.79 | | | v3 & distinct_lines(all_17_5, all_17_4) = v1 & % 21.20/3.79 | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 21.20/3.79 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 21.20/3.79 | | | % 21.20/3.79 | | | GROUND_INST: instantiating (6) with all_17_1, all_17_1, all_17_5, % 21.20/3.79 | | | all_17_4, all_24_0, all_17_0, simplifying with (16), (17), % 21.20/3.79 | | | (19), (24), (39) gives: % 21.20/3.79 | | | (117) all_24_0 = 0 | all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.20/3.79 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_1, % 21.20/3.79 | | | all_17_4) = v2 & apart_point_and_line(all_17_1, all_17_5) = % 21.20/3.79 | | | v3 & distinct_lines(all_17_5, all_17_4) = v1 & % 21.20/3.79 | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~ (v1 = 0) | ~ % 21.20/3.79 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 21.20/3.79 | | | % 21.20/3.80 | | | GROUND_INST: instantiating (5) with all_17_1, all_17_1, all_17_5, % 21.20/3.80 | | | all_17_4, all_17_0, all_24_0, simplifying with (16), (17), % 21.20/3.80 | | | (19), (24), (39) gives: % 21.20/3.80 | | | (118) all_24_0 = 0 | all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.20/3.80 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_1, % 21.20/3.80 | | | all_17_4) = v3 & apart_point_and_line(all_17_1, all_17_5) = % 21.20/3.80 | | | v2 & distinct_lines(all_17_5, all_17_4) = v1 & % 21.20/3.80 | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~ (v1 = 0) | ~ % 21.20/3.80 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 21.20/3.80 | | | % 21.20/3.81 | | | GROUND_INST: instantiating (5) with all_17_1, all_17_1, all_17_4, % 21.20/3.81 | | | all_17_5, all_24_0, all_17_0, simplifying with (16), (17), % 21.20/3.81 | | | (19), (24), (39) gives: % 21.20/3.81 | | | (119) all_24_0 = 0 | all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.20/3.81 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_1, % 21.20/3.81 | | | all_17_4) = v2 & apart_point_and_line(all_17_1, all_17_5) = % 21.20/3.81 | | | v3 & distinct_lines(all_17_4, all_17_5) = v1 & % 21.20/3.81 | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~ (v1 = 0) | ~ % 21.20/3.81 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 21.20/3.81 | | | % 21.20/3.81 | | | GROUND_INST: instantiating (6) with all_17_2, all_17_1, all_17_4, % 21.20/3.81 | | | all_17_5, all_26_0, all_24_0, simplifying with (16), (17), % 21.20/3.81 | | | (19), (39), (42), (102) gives: % 21.20/3.81 | | | (120) all_26_0 = 0 | all_24_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.20/3.81 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_1, % 21.20/3.81 | | | all_17_4) = v3 & apart_point_and_line(all_17_2, all_17_5) = % 21.20/3.81 | | | v2 & distinct_lines(all_17_4, all_17_5) = v1 & % 21.20/3.81 | | | distinct_points(all_17_2, all_17_1) = v0 & ( ~ (v1 = 0) | ~ % 21.20/3.81 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 21.20/3.81 | | | % 21.41/3.81 | | | GROUND_INST: instantiating (5) with all_17_2, all_17_1, all_17_5, % 21.41/3.81 | | | all_17_4, all_26_0, all_24_0, simplifying with (16), (17), % 21.41/3.81 | | | (19), (39), (42), (102) gives: % 21.41/3.81 | | | (121) all_26_0 = 0 | all_24_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.41/3.81 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_1, % 21.41/3.81 | | | all_17_4) = v3 & apart_point_and_line(all_17_2, all_17_5) = % 21.41/3.81 | | | v2 & distinct_lines(all_17_5, all_17_4) = v1 & % 21.41/3.81 | | | distinct_points(all_17_2, all_17_1) = v0 & ( ~ (v1 = 0) | ~ % 21.41/3.81 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 21.41/3.81 | | | % 21.41/3.81 | | | GROUND_INST: instantiating (6) with all_17_1, all_17_2, all_17_5, % 21.41/3.81 | | | all_17_5, all_24_0, all_34_0, simplifying with (16), (19), % 21.41/3.81 | | | (39), (56), (102) gives: % 21.41/3.81 | | | (122) all_34_0 = 0 | all_24_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.41/3.81 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_1, % 21.41/3.81 | | | all_17_5) = v2 & apart_point_and_line(all_17_2, all_17_5) = % 21.41/3.81 | | | v3 & distinct_lines(all_17_5, all_17_5) = v1 & % 21.41/3.81 | | | distinct_points(all_17_1, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 21.41/3.81 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 21.41/3.81 | | | % 21.41/3.81 | | | GROUND_INST: instantiating (7) with all_17_2, all_17_3, all_17_1, % 21.41/3.81 | | | all_32_0, simplifying with (18), (19), (23), (52), (102) % 21.41/3.81 | | | gives: % 21.41/3.81 | | | (123) all_32_0 = 0 | distinct_points(all_17_2, all_17_1) = 0 % 21.41/3.81 | | | % 21.41/3.81 | | | GROUND_INST: instantiating (6) with all_17_2, all_17_1, all_17_4, % 21.41/3.81 | | | all_17_3, all_26_0, all_32_0, simplifying with (17), (18), % 21.41/3.81 | | | (19), (42), (52), (102) gives: % 21.41/3.81 | | | (124) all_32_0 = 0 | all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.41/3.81 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_1, % 21.41/3.81 | | | all_17_4) = v3 & apart_point_and_line(all_17_2, all_17_3) = % 21.41/3.81 | | | v2 & distinct_lines(all_17_4, all_17_3) = v1 & % 21.41/3.81 | | | distinct_points(all_17_2, all_17_1) = v0 & ( ~ (v1 = 0) | ~ % 21.41/3.81 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 21.41/3.81 | | | % 21.41/3.81 | | | GROUND_INST: instantiating (6) with all_17_1, all_17_2, all_17_3, % 21.41/3.81 | | | all_17_4, all_32_0, all_26_0, simplifying with (17), (18), % 21.41/3.81 | | | (19), (42), (52), (102) gives: % 21.41/3.82 | | | (125) all_32_0 = 0 | all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.41/3.82 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_17_1, % 21.41/3.82 | | | all_17_4) = v2 & apart_point_and_line(all_17_2, all_17_3) = % 21.41/3.82 | | | v3 & distinct_lines(all_17_3, all_17_4) = v1 & % 21.41/3.82 | | | distinct_points(all_17_1, all_17_2) = v0 & ( ~ (v1 = 0) | ~ % 21.41/3.82 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 21.41/3.82 | | | % 21.41/3.82 | | | GROUND_INST: instantiating (6) with all_17_1, all_28_1, all_17_4, % 21.41/3.82 | | | all_17_4, all_17_0, all_30_0, simplifying with (17), (19), % 21.41/3.82 | | | (24), (101), (103) gives: % 21.41/3.82 | | | (126) all_30_0 = 0 | all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.41/3.82 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_28_1, % 21.41/3.82 | | | all_17_4) = v3 & apart_point_and_line(all_17_1, all_17_4) = % 21.41/3.82 | | | v2 & distinct_lines(all_17_4, all_17_4) = v1 & % 21.41/3.82 | | | distinct_points(all_17_1, all_28_1) = v0 & ( ~ (v1 = 0) | ~ % 21.41/3.82 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 21.41/3.82 | | | % 21.41/3.82 | | | GROUND_INST: instantiating (6) with all_17_1, all_28_1, all_17_3, % 21.41/3.82 | | | all_17_4, all_32_0, all_30_0, simplifying with (17), (18), % 21.41/3.82 | | | (19), (52), (101), (103) gives: % 21.41/3.82 | | | (127) all_32_0 = 0 | all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.41/3.82 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_28_1, % 21.41/3.82 | | | all_17_3) = v3 & apart_point_and_line(all_17_1, all_17_4) = % 21.41/3.82 | | | v2 & distinct_lines(all_17_3, all_17_4) = v1 & % 21.41/3.82 | | | distinct_points(all_17_1, all_28_1) = v0 & ( ~ (v1 = 0) | ~ % 21.41/3.82 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 21.41/3.82 | | | % 21.41/3.82 | | | BETA: splitting (123) gives: % 21.41/3.82 | | | % 21.41/3.82 | | | Case 1: % 21.41/3.82 | | | | % 21.41/3.82 | | | | (128) distinct_points(all_17_2, all_17_1) = 0 % 21.41/3.82 | | | | % 21.41/3.82 | | | | BETA: splitting (114) gives: % 21.41/3.82 | | | | % 21.41/3.82 | | | | Case 1: % 21.41/3.82 | | | | | % 21.41/3.82 | | | | | (129) all_34_0 = 0 % 21.41/3.82 | | | | | % 21.41/3.82 | | | | | REDUCE: (109), (129) imply: % 21.41/3.82 | | | | | (130) $false % 21.41/3.82 | | | | | % 21.41/3.82 | | | | | CLOSE: (130) is inconsistent. % 21.41/3.82 | | | | | % 21.41/3.82 | | | | Case 2: % 21.41/3.82 | | | | | % 21.41/3.82 | | | | | (131) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 21.41/3.82 | | | | | (apart_point_and_line(all_17_2, all_17_5) = v3 & % 21.41/3.82 | | | | | apart_point_and_line(all_17_2, all_17_5) = v2 & % 21.41/3.82 | | | | | distinct_lines(all_17_5, all_17_5) = v1 & % 21.41/3.82 | | | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ (v1 = 0) | % 21.41/3.82 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.41/3.82 | | | | | % 21.41/3.82 | | | | | DELTA: instantiating (131) with fresh symbols all_114_0, all_114_1, % 21.41/3.82 | | | | | all_114_2, all_114_3 gives: % 21.41/3.82 | | | | | (132) apart_point_and_line(all_17_2, all_17_5) = all_114_0 & % 21.41/3.82 | | | | | apart_point_and_line(all_17_2, all_17_5) = all_114_1 & % 21.41/3.82 | | | | | distinct_lines(all_17_5, all_17_5) = all_114_2 & % 21.41/3.82 | | | | | distinct_points(all_17_2, all_17_2) = all_114_3 & ( ~ % 21.41/3.82 | | | | | (all_114_2 = 0) | ~ (all_114_3 = 0) | all_114_0 = 0 | % 21.41/3.82 | | | | | all_114_1 = 0) % 21.41/3.82 | | | | | % 21.41/3.82 | | | | | ALPHA: (132) implies: % 21.41/3.82 | | | | | (133) apart_point_and_line(all_17_2, all_17_5) = all_114_1 % 21.41/3.82 | | | | | (134) apart_point_and_line(all_17_2, all_17_5) = all_114_0 % 21.41/3.82 | | | | | % 21.41/3.82 | | | | | BETA: splitting (125) gives: % 21.41/3.82 | | | | | % 21.41/3.82 | | | | | Case 1: % 21.41/3.82 | | | | | | % 21.41/3.82 | | | | | | (135) all_32_0 = 0 % 21.41/3.82 | | | | | | % 21.41/3.82 | | | | | | REDUCE: (110), (135) imply: % 21.41/3.82 | | | | | | (136) $false % 21.41/3.82 | | | | | | % 21.41/3.82 | | | | | | CLOSE: (136) is inconsistent. % 21.41/3.82 | | | | | | % 21.41/3.82 | | | | | Case 2: % 21.41/3.82 | | | | | | % 21.41/3.82 | | | | | | (137) all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 21.41/3.82 | | | | | | ? [v3: any] : (apart_point_and_line(all_17_1, all_17_4) = % 21.41/3.82 | | | | | | v2 & apart_point_and_line(all_17_2, all_17_3) = v3 & % 21.41/3.82 | | | | | | distinct_lines(all_17_3, all_17_4) = v1 & % 21.41/3.82 | | | | | | distinct_points(all_17_1, all_17_2) = v0 & ( ~ (v1 = 0) | % 21.41/3.82 | | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.41/3.82 | | | | | | % 21.41/3.82 | | | | | | BETA: splitting (113) gives: % 21.41/3.82 | | | | | | % 21.41/3.82 | | | | | | Case 1: % 21.41/3.82 | | | | | | | % 21.41/3.82 | | | | | | | (138) all_34_0 = 0 % 21.41/3.82 | | | | | | | % 21.41/3.82 | | | | | | | REDUCE: (109), (138) imply: % 21.41/3.82 | | | | | | | (139) $false % 21.41/3.82 | | | | | | | % 21.41/3.82 | | | | | | | CLOSE: (139) is inconsistent. % 21.41/3.82 | | | | | | | % 21.41/3.82 | | | | | | Case 2: % 21.41/3.82 | | | | | | | % 21.41/3.82 | | | | | | | (140) all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] % 21.41/3.82 | | | | | | | : ? [v3: any] : (apart_point_and_line(all_17_1, % 21.41/3.82 | | | | | | | all_17_5) = v3 & apart_point_and_line(all_17_2, % 21.41/3.82 | | | | | | | all_17_4) = v2 & distinct_lines(all_17_4, all_17_5) = % 21.41/3.82 | | | | | | | v1 & distinct_points(all_17_2, all_17_1) = v0 & ( ~ (v1 % 21.41/3.82 | | | | | | | = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.41/3.82 | | | | | | | % 21.41/3.82 | | | | | | | BETA: splitting (112) gives: % 21.41/3.82 | | | | | | | % 21.41/3.82 | | | | | | | Case 1: % 21.41/3.82 | | | | | | | | % 21.41/3.82 | | | | | | | | (141) all_34_0 = 0 % 21.41/3.82 | | | | | | | | % 21.41/3.82 | | | | | | | | REDUCE: (109), (141) imply: % 21.41/3.82 | | | | | | | | (142) $false % 21.41/3.82 | | | | | | | | % 21.41/3.82 | | | | | | | | CLOSE: (142) is inconsistent. % 21.41/3.82 | | | | | | | | % 21.41/3.82 | | | | | | | Case 2: % 21.41/3.82 | | | | | | | | % 21.41/3.83 | | | | | | | | (143) all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 21.41/3.83 | | | | | | | | any] : ? [v3: any] : (apart_point_and_line(all_17_1, % 21.41/3.83 | | | | | | | | all_17_5) = v3 & apart_point_and_line(all_17_2, % 21.41/3.83 | | | | | | | | all_17_4) = v2 & distinct_lines(all_17_5, all_17_4) % 21.41/3.83 | | | | | | | | = v1 & distinct_points(all_17_2, all_17_1) = v0 & ( ~ % 21.41/3.83 | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.41/3.83 | | | | | | | | % 21.41/3.83 | | | | | | | | BETA: splitting (127) gives: % 21.41/3.83 | | | | | | | | % 21.41/3.83 | | | | | | | | Case 1: % 21.41/3.83 | | | | | | | | | % 21.41/3.83 | | | | | | | | | (144) all_32_0 = 0 % 21.41/3.83 | | | | | | | | | % 21.41/3.83 | | | | | | | | | REDUCE: (110), (144) imply: % 21.41/3.83 | | | | | | | | | (145) $false % 21.41/3.83 | | | | | | | | | % 21.41/3.83 | | | | | | | | | CLOSE: (145) is inconsistent. % 21.41/3.83 | | | | | | | | | % 21.41/3.83 | | | | | | | | Case 2: % 21.41/3.83 | | | | | | | | | % 21.41/3.83 | | | | | | | | | (146) all_30_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 21.41/3.83 | | | | | | | | | any] : ? [v3: any] : % 21.41/3.83 | | | | | | | | | (apart_point_and_line(all_28_1, all_17_3) = v3 & % 21.41/3.83 | | | | | | | | | apart_point_and_line(all_17_1, all_17_4) = v2 & % 21.41/3.83 | | | | | | | | | distinct_lines(all_17_3, all_17_4) = v1 & % 21.41/3.83 | | | | | | | | | distinct_points(all_17_1, all_28_1) = v0 & ( ~ (v1 % 21.41/3.83 | | | | | | | | | = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.41/3.83 | | | | | | | | | % 21.41/3.83 | | | | | | | | | BETA: splitting (124) gives: % 21.41/3.83 | | | | | | | | | % 21.41/3.83 | | | | | | | | | Case 1: % 21.41/3.83 | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | (147) all_32_0 = 0 % 21.41/3.83 | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | REDUCE: (110), (147) imply: % 21.41/3.83 | | | | | | | | | | (148) $false % 21.41/3.83 | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | CLOSE: (148) is inconsistent. % 21.41/3.83 | | | | | | | | | | % 21.41/3.83 | | | | | | | | | Case 2: % 21.41/3.83 | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | (149) all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.41/3.83 | | | | | | | | | | [v2: any] : ? [v3: any] : % 21.41/3.83 | | | | | | | | | | (apart_point_and_line(all_17_1, all_17_4) = v3 & % 21.41/3.83 | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v2 & % 21.41/3.83 | | | | | | | | | | distinct_lines(all_17_4, all_17_3) = v1 & % 21.41/3.83 | | | | | | | | | | distinct_points(all_17_2, all_17_1) = v0 & ( ~ % 21.41/3.83 | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.41/3.83 | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | BETA: splitting (116) gives: % 21.41/3.83 | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | Case 1: % 21.41/3.83 | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | (150) all_34_0 = 0 % 21.41/3.83 | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | REDUCE: (109), (150) imply: % 21.41/3.83 | | | | | | | | | | | (151) $false % 21.41/3.83 | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | CLOSE: (151) is inconsistent. % 21.41/3.83 | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | Case 2: % 21.41/3.83 | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | (152) all_26_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.41/3.83 | | | | | | | | | | | [v2: any] : ? [v3: any] : % 21.41/3.83 | | | | | | | | | | | (apart_point_and_line(all_17_2, all_17_4) = v2 & % 21.41/3.83 | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v3 & % 21.41/3.83 | | | | | | | | | | | distinct_lines(all_17_5, all_17_4) = v1 & % 21.41/3.83 | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ % 21.41/3.83 | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.41/3.83 | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | BETA: splitting (120) gives: % 21.41/3.83 | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | Case 1: % 21.41/3.83 | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | (153) all_26_0 = 0 % 21.41/3.83 | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | REDUCE: (108), (153) imply: % 21.41/3.83 | | | | | | | | | | | | (154) $false % 21.41/3.83 | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | CLOSE: (154) is inconsistent. % 21.41/3.83 | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | Case 2: % 21.41/3.83 | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | (155) all_24_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.41/3.83 | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 21.41/3.83 | | | | | | | | | | | | (apart_point_and_line(all_17_1, all_17_4) = v3 & % 21.41/3.83 | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v2 & % 21.41/3.83 | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 & % 21.41/3.83 | | | | | | | | | | | | distinct_points(all_17_2, all_17_1) = v0 & ( ~ % 21.41/3.83 | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.41/3.83 | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | BETA: splitting (121) gives: % 21.41/3.83 | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | Case 1: % 21.41/3.83 | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | (156) all_26_0 = 0 % 21.41/3.83 | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | REDUCE: (108), (156) imply: % 21.41/3.83 | | | | | | | | | | | | | (157) $false % 21.41/3.83 | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | CLOSE: (157) is inconsistent. % 21.41/3.83 | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | Case 2: % 21.41/3.83 | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | (158) all_24_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.41/3.83 | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 21.41/3.83 | | | | | | | | | | | | | (apart_point_and_line(all_17_1, all_17_4) = v3 & % 21.41/3.83 | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v2 & % 21.41/3.83 | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_4) = v1 & % 21.41/3.83 | | | | | | | | | | | | | distinct_points(all_17_2, all_17_1) = v0 & ( ~ % 21.41/3.83 | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.41/3.83 | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | BETA: splitting (118) gives: % 21.41/3.83 | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | Case 1: % 21.41/3.83 | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | (159) all_24_0 = 0 % 21.41/3.83 | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | REDUCE: (111), (159) imply: % 21.41/3.83 | | | | | | | | | | | | | | (160) $false % 21.41/3.83 | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | CLOSE: (160) is inconsistent. % 21.41/3.83 | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | Case 2: % 21.41/3.83 | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | (161) all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.41/3.83 | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 21.41/3.83 | | | | | | | | | | | | | | (apart_point_and_line(all_17_1, all_17_4) = v3 & % 21.41/3.83 | | | | | | | | | | | | | | apart_point_and_line(all_17_1, all_17_5) = v2 & % 21.41/3.83 | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_4) = v1 & % 21.41/3.83 | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~ % 21.41/3.83 | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.41/3.83 | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | BETA: splitting (117) gives: % 21.41/3.83 | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | Case 1: % 21.41/3.83 | | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | | (162) all_24_0 = 0 % 21.41/3.83 | | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | | REDUCE: (111), (162) imply: % 21.41/3.83 | | | | | | | | | | | | | | | (163) $false % 21.41/3.83 | | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | | CLOSE: (163) is inconsistent. % 21.41/3.83 | | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | Case 2: % 21.41/3.83 | | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | | (164) all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.41/3.83 | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 21.41/3.83 | | | | | | | | | | | | | | | (apart_point_and_line(all_17_1, all_17_4) = v2 & % 21.41/3.83 | | | | | | | | | | | | | | | apart_point_and_line(all_17_1, all_17_5) = v3 & % 21.41/3.83 | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_4) = v1 & % 21.41/3.83 | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~ % 21.41/3.83 | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.41/3.83 | | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | | BETA: splitting (126) gives: % 21.41/3.83 | | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | | Case 1: % 21.41/3.83 | | | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | | | (165) all_30_0 = 0 % 21.41/3.83 | | | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | | | REDUCE: (46), (165) imply: % 21.41/3.83 | | | | | | | | | | | | | | | | (166) $false % 21.41/3.83 | | | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | | | CLOSE: (166) is inconsistent. % 21.41/3.83 | | | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | | Case 2: % 21.41/3.83 | | | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | | | (167) all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.41/3.83 | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 21.41/3.83 | | | | | | | | | | | | | | | | (apart_point_and_line(all_28_1, all_17_4) = v3 & % 21.41/3.83 | | | | | | | | | | | | | | | | apart_point_and_line(all_17_1, all_17_4) = v2 & % 21.41/3.83 | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_4) = v1 & % 21.41/3.83 | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_28_1) = v0 & ( ~ % 21.41/3.83 | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.41/3.83 | | | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | | | BETA: splitting (122) gives: % 21.41/3.83 | | | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | | | Case 1: % 21.41/3.83 | | | | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | | | | (168) all_34_0 = 0 % 21.41/3.83 | | | | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | | | | REDUCE: (109), (168) imply: % 21.41/3.83 | | | | | | | | | | | | | | | | | (169) $false % 21.41/3.83 | | | | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | | | | CLOSE: (169) is inconsistent. % 21.41/3.83 | | | | | | | | | | | | | | | | | % 21.41/3.83 | | | | | | | | | | | | | | | | Case 2: % 21.41/3.83 | | | | | | | | | | | | | | | | | % 21.41/3.84 | | | | | | | | | | | | | | | | | (170) all_24_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.41/3.84 | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 21.41/3.84 | | | | | | | | | | | | | | | | | (apart_point_and_line(all_17_1, all_17_5) = v2 & % 21.41/3.84 | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v3 & % 21.41/3.84 | | | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_5) = v1 & % 21.41/3.84 | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_2) = v0 & ( ~ % 21.41/3.84 | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.41/3.84 | | | | | | | | | | | | | | | | | % 21.41/3.84 | | | | | | | | | | | | | | | | | BETA: splitting (119) gives: % 21.41/3.84 | | | | | | | | | | | | | | | | | % 21.41/3.84 | | | | | | | | | | | | | | | | | Case 1: % 21.41/3.84 | | | | | | | | | | | | | | | | | | % 21.41/3.84 | | | | | | | | | | | | | | | | | | (171) all_24_0 = 0 % 21.41/3.84 | | | | | | | | | | | | | | | | | | % 21.41/3.84 | | | | | | | | | | | | | | | | | | REDUCE: (111), (171) imply: % 21.41/3.84 | | | | | | | | | | | | | | | | | | (172) $false % 21.41/3.84 | | | | | | | | | | | | | | | | | | % 21.41/3.84 | | | | | | | | | | | | | | | | | | CLOSE: (172) is inconsistent. % 21.41/3.84 | | | | | | | | | | | | | | | | | | % 21.41/3.84 | | | | | | | | | | | | | | | | | Case 2: % 21.41/3.84 | | | | | | | | | | | | | | | | | | % 21.41/3.84 | | | | | | | | | | | | | | | | | | (173) all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.41/3.84 | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 21.41/3.84 | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_17_1, all_17_4) = v2 & % 21.41/3.84 | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_1, all_17_5) = v3 & % 21.41/3.84 | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 & % 21.41/3.84 | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~ % 21.41/3.84 | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.41/3.84 | | | | | | | | | | | | | | | | | | % 21.41/3.84 | | | | | | | | | | | | | | | | | | BETA: splitting (115) gives: % 21.41/3.84 | | | | | | | | | | | | | | | | | | % 21.41/3.84 | | | | | | | | | | | | | | | | | | Case 1: % 21.41/3.84 | | | | | | | | | | | | | | | | | | | % 21.41/3.84 | | | | | | | | | | | | | | | | | | | (174) all_26_0 = 0 % 21.41/3.84 | | | | | | | | | | | | | | | | | | | % 21.41/3.84 | | | | | | | | | | | | | | | | | | | REDUCE: (108), (174) imply: % 21.41/3.84 | | | | | | | | | | | | | | | | | | | (175) $false % 21.41/3.84 | | | | | | | | | | | | | | | | | | | % 21.41/3.84 | | | | | | | | | | | | | | | | | | | CLOSE: (175) is inconsistent. % 21.41/3.84 | | | | | | | | | | | | | | | | | | | % 21.41/3.84 | | | | | | | | | | | | | | | | | | Case 2: % 21.41/3.84 | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | (176) all_17_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 21.55/3.84 | | | | | | | | | | | | | | | | | | | [v2: any] : ? [v3: any] : % 21.55/3.84 | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_17_1, all_17_4) = v2 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_4) = v3 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_4) = v1 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_2) = v0 & ( ~ % 21.55/3.84 | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.55/3.84 | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (137) gives: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | Case 1: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | (177) all_26_0 = 0 % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (177) imply: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | (178) $false % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | CLOSE: (178) is inconsistent. % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | Case 2: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | (179) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_1, % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | all_17_4) = v2 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v3 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_4) = v1 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_2) = v0 & ( ~ % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (179) with fresh symbols all_312_0, % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | all_312_1, all_312_2, all_312_3 gives: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | (180) apart_point_and_line(all_17_1, all_17_4) = % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | all_312_1 & apart_point_and_line(all_17_2, % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | all_17_3) = all_312_0 & distinct_lines(all_17_3, % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | all_17_4) = all_312_2 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_2) = all_312_3 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | ( ~ (all_312_2 = 0) | ~ (all_312_3 = 0) | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | all_312_0 = 0 | all_312_1 = 0) % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | ALPHA: (180) implies: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | (181) apart_point_and_line(all_17_1, all_17_4) = % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | all_312_1 % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (140) gives: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | Case 1: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | (182) all_17_0 = 0 % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (182) imply: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | (183) $false % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | CLOSE: (183) is inconsistent. % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | Case 2: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | (184) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_1, % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | all_17_5) = v3 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_4) = v2 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_1) = v0 & ( ~ % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (184) with fresh symbols all_317_0, % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | all_317_1, all_317_2, all_317_3 gives: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | (185) apart_point_and_line(all_17_1, all_17_5) = % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | all_317_0 & apart_point_and_line(all_17_2, % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_317_1 & distinct_lines(all_17_4, % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_317_2 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_1) = all_317_3 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | ( ~ (all_317_2 = 0) | ~ (all_317_3 = 0) | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | all_317_0 = 0 | all_317_1 = 0) % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | ALPHA: (185) implies: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | (186) distinct_points(all_17_2, all_17_1) = all_317_3 % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | (187) distinct_lines(all_17_4, all_17_5) = all_317_2 % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (143) gives: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | Case 1: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | (188) all_17_0 = 0 % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (188) imply: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | (189) $false % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (189) is inconsistent. % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | Case 2: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | (190) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_1, % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | all_17_5) = v3 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_4) = v2 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_4) = v1 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_1) = v0 & ( ~ % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (190) with fresh symbols all_327_0, % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | all_327_1, all_327_2, all_327_3 gives: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | (191) apart_point_and_line(all_17_1, all_17_5) = % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | all_327_0 & apart_point_and_line(all_17_2, % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_327_1 & distinct_lines(all_17_5, % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_327_2 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_1) = all_327_3 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_327_2 = 0) | ~ (all_327_3 = 0) | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | all_327_0 = 0 | all_327_1 = 0) % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (191) implies: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | (192) distinct_points(all_17_2, all_17_1) = all_327_3 % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (146) gives: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | (193) all_30_0 = 0 % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (193) imply: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | (194) $false % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (194) is inconsistent. % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | (195) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_28_1, % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = v3 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_1, all_17_4) = v2 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_3, all_17_4) = v1 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_28_1) = v0 & ( ~ % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (195) with fresh symbols all_342_0, % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | all_342_1, all_342_2, all_342_3 gives: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | (196) apart_point_and_line(all_28_1, all_17_3) = % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | all_342_0 & apart_point_and_line(all_17_1, % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_342_1 & distinct_lines(all_17_3, % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_342_2 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_28_1) = all_342_3 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_342_2 = 0) | ~ (all_342_3 = 0) | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | all_342_0 = 0 | all_342_1 = 0) % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (196) implies: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | (197) apart_point_and_line(all_17_1, all_17_4) = % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | all_342_1 % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | (198) all_26_0 = 0 % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (198) imply: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | (199) $false % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (199) is inconsistent. % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | (200) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_1, % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v3 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_3) = v2 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_3) = v1 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_1) = v0 & ( ~ % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (200) with fresh symbols all_347_0, % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | all_347_1, all_347_2, all_347_3 gives: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | (201) apart_point_and_line(all_17_1, all_17_4) = % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | all_347_0 & apart_point_and_line(all_17_2, % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_347_1 & distinct_lines(all_17_4, % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | all_17_3) = all_347_2 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_1) = all_347_3 & % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_347_2 = 0) | ~ (all_347_3 = 0) | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | all_347_0 = 0 | all_347_1 = 0) % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (201) implies: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | (202) distinct_points(all_17_2, all_17_1) = all_347_3 % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (152) gives: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.84 | | | | | | | | | | | | | | | | | | | | | | | | | (203) all_26_0 = 0 % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (203) imply: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | (204) $false % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (204) is inconsistent. % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | (205) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_2, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v2 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v3 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_4) = v1 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = v0 & ( ~ % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (205) with fresh symbols all_357_0, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | all_357_1, all_357_2, all_357_3 gives: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | (206) apart_point_and_line(all_17_2, all_17_4) = % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | all_357_1 & apart_point_and_line(all_17_2, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_357_0 & distinct_lines(all_17_5, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_357_2 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_2) = all_357_3 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_357_2 = 0) | ~ (all_357_3 = 0) | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | all_357_0 = 0 | all_357_1 = 0) % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (206) implies: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | (207) apart_point_and_line(all_17_2, all_17_5) = % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | all_357_0 % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (155) gives: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (208) all_24_0 = 0 % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (208) imply: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (209) $false % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (209) is inconsistent. % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (210) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_1, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v3 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v2 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_1) = v0 & ( ~ % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (210) with fresh symbols all_372_0, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | all_372_1, all_372_2, all_372_3 gives: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (211) apart_point_and_line(all_17_1, all_17_4) = % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | all_372_0 & apart_point_and_line(all_17_2, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_372_1 & distinct_lines(all_17_4, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_372_2 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_1) = all_372_3 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_372_2 = 0) | ~ (all_372_3 = 0) | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | all_372_0 = 0 | all_372_1 = 0) % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (211) implies: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (212) distinct_points(all_17_2, all_17_1) = all_372_3 % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (213) distinct_lines(all_17_4, all_17_5) = all_372_2 % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (214) apart_point_and_line(all_17_2, all_17_5) = % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | all_372_1 % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (215) apart_point_and_line(all_17_1, all_17_4) = % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | all_372_0 % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (216) ~ (all_372_2 = 0) | ~ (all_372_3 = 0) | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | all_372_0 = 0 | all_372_1 = 0 % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (217) all_24_0 = 0 % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (217) imply: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (218) $false % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (218) is inconsistent. % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (219) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_1, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v3 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v2 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_4) = v1 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_1) = v0 & ( ~ % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (219) with fresh symbols all_377_0, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_377_1, all_377_2, all_377_3 gives: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (220) apart_point_and_line(all_17_1, all_17_4) = % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_377_0 & apart_point_and_line(all_17_2, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_377_1 & distinct_lines(all_17_5, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_377_2 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_2, all_17_1) = all_377_3 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_377_2 = 0) | ~ (all_377_3 = 0) | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_377_0 = 0 | all_377_1 = 0) % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (220) implies: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (221) distinct_points(all_17_2, all_17_1) = all_377_3 % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (222) apart_point_and_line(all_17_2, all_17_5) = % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_377_1 % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (223) apart_point_and_line(all_17_1, all_17_4) = % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_377_0 % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224) all_17_0 = 0 % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (224) imply: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225) $false % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (225) is inconsistent. % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_1, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v3 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_1, all_17_5) = v2 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_4) = v1 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~ % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (226) with fresh symbols all_392_0, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_392_1, all_392_2, all_392_3 gives: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227) apart_point_and_line(all_17_1, all_17_4) = % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_392_0 & apart_point_and_line(all_17_1, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_392_1 & distinct_lines(all_17_5, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_392_2 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_1) = all_392_3 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_392_2 = 0) | ~ (all_392_3 = 0) | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_392_0 = 0 | all_392_1 = 0) % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (227) implies: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228) apart_point_and_line(all_17_1, all_17_4) = % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_392_0 % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229) all_17_0 = 0 % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (229) imply: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230) $false % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (230) is inconsistent. % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_1, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v2 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_1, all_17_5) = v3 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_4) = v1 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~ % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (231) with fresh symbols all_397_0, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_397_1, all_397_2, all_397_3 gives: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232) apart_point_and_line(all_17_1, all_17_4) = % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_397_1 & apart_point_and_line(all_17_1, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_397_0 & distinct_lines(all_17_5, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_397_2 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_1) = all_397_3 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_397_2 = 0) | ~ (all_397_3 = 0) | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_397_0 = 0 | all_397_1 = 0) % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (232) implies: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233) apart_point_and_line(all_17_1, all_17_4) = % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_397_1 % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234) all_17_0 = 0 % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (234) imply: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235) $false % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (235) is inconsistent. % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_28_1, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v3 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_1, all_17_4) = v2 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_4) = v1 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_28_1) = v0 & ( ~ % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (236) with fresh symbols all_407_0, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_407_1, all_407_2, all_407_3 gives: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237) apart_point_and_line(all_28_1, all_17_4) = % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_407_0 & apart_point_and_line(all_17_1, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_407_1 & distinct_lines(all_17_4, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_407_2 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_28_1) = all_407_3 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_407_2 = 0) | ~ (all_407_3 = 0) | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_407_0 = 0 | all_407_1 = 0) % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (237) implies: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238) apart_point_and_line(all_17_1, all_17_4) = % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_407_1 % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239) all_24_0 = 0 % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (239) imply: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240) $false % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (240) is inconsistent. % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_1, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = v2 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_5) = v3 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_5, all_17_5) = v1 & % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_2) = v0 & ( ~ % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (241) with fresh symbols all_412_0, % 21.55/3.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_412_1, all_412_2, all_412_3 gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242) apart_point_and_line(all_17_1, all_17_5) = % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_412_1 & apart_point_and_line(all_17_2, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_412_0 & distinct_lines(all_17_5, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_412_2 & % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_2) = all_412_3 & % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_412_2 = 0) | ~ (all_412_3 = 0) | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_412_0 = 0 | all_412_1 = 0) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (242) implies: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243) apart_point_and_line(all_17_2, all_17_5) = % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_412_0 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (173) gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244) all_17_0 = 0 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (244) imply: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245) $false % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (245) is inconsistent. % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_1, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v2 & % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_1, all_17_5) = v3 & % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_5) = v1 & % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_1) = v0 & ( ~ % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (246) with fresh symbols all_417_0, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_417_1, all_417_2, all_417_3 gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247) apart_point_and_line(all_17_1, all_17_4) = % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_417_1 & apart_point_and_line(all_17_1, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_417_0 & distinct_lines(all_17_4, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = all_417_2 & % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_1) = all_417_3 & % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_417_2 = 0) | ~ (all_417_3 = 0) | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_417_0 = 0 | all_417_1 = 0) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (247) implies: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (248) distinct_lines(all_17_4, all_17_5) = all_417_2 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (249) apart_point_and_line(all_17_1, all_17_4) = % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_417_1 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250) all_17_0 = 0 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (250) imply: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251) $false % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (251) is inconsistent. % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (252) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_17_1, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = v2 & % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_17_2, all_17_4) = v3 & % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_lines(all_17_4, all_17_4) = v1 & % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_2) = v0 & ( ~ % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (252) with fresh symbols all_422_0, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_422_1, all_422_2, all_422_3 gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (253) apart_point_and_line(all_17_1, all_17_4) = % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_422_1 & apart_point_and_line(all_17_2, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_422_0 & distinct_lines(all_17_4, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4) = all_422_2 & % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_17_1, all_17_2) = all_422_3 & % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_422_2 = 0) | ~ (all_422_3 = 0) | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_422_0 = 0 | all_422_1 = 0) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (253) implies: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (254) apart_point_and_line(all_17_1, all_17_4) = % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_422_1 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_347_3, all_372_3, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_1, all_17_2, simplifying with (202), (212) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (255) all_372_3 = all_347_3 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_317_3, all_372_3, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_1, all_17_2, simplifying with (186), (212) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (256) all_372_3 = all_317_3 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_347_3, all_377_3, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_1, all_17_2, simplifying with (202), (221) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257) all_377_3 = all_347_3 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_327_3, all_377_3, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_1, all_17_2, simplifying with (192), (221) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258) all_377_3 = all_327_3 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with 0, all_377_3, all_17_1, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_2, simplifying with (128), (221) gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259) all_377_3 = 0 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_372_2, all_417_2, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_4, simplifying with (213), (248) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (260) all_417_2 = all_372_2 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_317_2, all_417_2, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_4, simplifying with (187), (248) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (261) all_417_2 = all_317_2 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_34_0, all_114_0, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (56), (134) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (262) all_114_0 = all_34_0 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_114_0, all_357_0, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (134), (207) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (263) all_357_0 = all_114_0 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_357_0, all_372_1, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (207), (214) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (264) all_372_1 = all_357_0 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_372_1, all_377_1, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (214), (222) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (265) all_377_1 = all_372_1 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_377_1, all_412_0, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (222), (243) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (266) all_412_0 = all_377_1 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_114_1, all_412_0, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_17_2, simplifying with (133), (243) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (267) all_412_0 = all_114_1 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_372_0, all_377_0, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_1, simplifying with (215), (223) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (268) all_377_0 = all_372_0 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_377_0, all_392_0, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_1, simplifying with (223), (228) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269) all_392_0 = all_377_0 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_17_0, all_397_1, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_1, simplifying with (24), (233) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270) all_397_1 = all_17_0 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_377_0, all_397_1, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_1, simplifying with (223), (233) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271) all_397_1 = all_377_0 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_392_0, all_407_1, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_1, simplifying with (228), (238) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272) all_407_1 = all_392_0 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_407_1, all_417_1, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_1, simplifying with (238), (249) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (273) all_417_1 = all_407_1 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_342_1, all_417_1, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_1, simplifying with (197), (249) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (274) all_417_1 = all_342_1 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_372_0, all_422_1, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_1, simplifying with (215), (254) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (275) all_422_1 = all_372_0 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_312_1, all_422_1, % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_4, all_17_1, simplifying with (181), (254) % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (276) all_422_1 = all_312_1 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (276) imply: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (277) all_372_0 = all_312_1 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (277) implies: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (278) all_372_0 = all_312_1 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (274) imply: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (279) all_407_1 = all_342_1 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (279) implies: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (280) all_407_1 = all_342_1 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (261) imply: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (281) all_372_2 = all_317_2 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (267) imply: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (282) all_377_1 = all_114_1 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (282) implies: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (283) all_377_1 = all_114_1 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (280) imply: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (284) all_392_0 = all_342_1 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (284) implies: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (285) all_392_0 = all_342_1 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (271) imply: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (286) all_377_0 = all_17_0 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (286) implies: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (287) all_377_0 = all_17_0 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (285) imply: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (288) all_377_0 = all_342_1 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (288) implies: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (289) all_377_0 = all_342_1 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (289) imply: % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (290) all_342_1 = all_17_0 % 21.55/3.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (289) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (291) all_372_0 = all_342_1 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (291) implies: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (292) all_372_0 = all_342_1 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (283) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (293) all_372_1 = all_114_1 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (293) implies: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (294) all_372_1 = all_114_1 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (258) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (295) all_347_3 = all_327_3 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (295) implies: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (296) all_347_3 = all_327_3 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (259) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (297) all_327_3 = 0 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (278), (292) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (298) all_342_1 = all_312_1 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (298) implies: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (299) all_342_1 = all_312_1 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (294) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (300) all_357_0 = all_114_1 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (300) implies: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (301) all_357_0 = all_114_1 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (256) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (302) all_347_3 = all_317_3 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (302) implies: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (303) all_347_3 = all_317_3 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (301) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (304) all_114_0 = all_114_1 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (304) implies: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (305) all_114_0 = all_114_1 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (296), (303) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (306) all_327_3 = all_317_3 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (306) implies: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (307) all_327_3 = all_317_3 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (299) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (308) all_312_1 = all_17_0 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (308) implies: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (309) all_312_1 = all_17_0 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (307) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (310) all_317_3 = 0 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (305) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (311) all_114_1 = all_34_0 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (310) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (312) all_372_3 = 0 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (311) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (313) all_372_1 = all_34_0 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (278), (309) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (314) all_372_0 = all_17_0 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (315) ~ (all_372_2 = 0) % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (281), (315) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (316) ~ (all_317_2 = 0) % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with all_17_5, all_17_4, % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5, all_317_2, simplifying with (16), (17), % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (20), (187) gives: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (317) all_317_2 = 0 | convergent_lines(all_17_5, % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_17_5) = 0 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (318) convergent_lines(all_17_5, all_17_5) = 0 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (apart3) with all_17_5, simplifying % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | with (16), (318) gives: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (319) $false % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (319) is inconsistent. % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (320) all_317_2 = 0 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (316), (320) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (321) $false % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (321) is inconsistent. % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (322) ~ (all_372_3 = 0) | all_372_0 = 0 | all_372_1 = 0 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (323) ~ (all_372_3 = 0) % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (312), (323) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (324) $false % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (324) is inconsistent. % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (325) all_372_0 = 0 | all_372_1 = 0 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (326) all_372_0 = 0 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (326) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (327) all_17_0 = 0 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (327) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (328) $false % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (328) is inconsistent. % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (329) all_372_1 = 0 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (329) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (330) all_34_0 = 0 % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (330) imply: % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (331) $false % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (331) is inconsistent. % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | | % 21.55/3.87 | | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | | % 21.55/3.87 | | | | | | | | | End of split % 21.55/3.87 | | | | | | | | | % 21.55/3.87 | | | | | | | | End of split % 21.55/3.87 | | | | | | | | % 21.55/3.87 | | | | | | | End of split % 21.55/3.87 | | | | | | | % 21.55/3.87 | | | | | | End of split % 21.55/3.87 | | | | | | % 21.55/3.87 | | | | | End of split % 21.55/3.87 | | | | | % 21.55/3.87 | | | | End of split % 21.55/3.87 | | | | % 21.55/3.87 | | | Case 2: % 21.55/3.87 | | | | % 21.55/3.87 | | | | (332) all_32_0 = 0 % 21.55/3.87 | | | | % 21.55/3.87 | | | | REDUCE: (110), (332) imply: % 21.55/3.87 | | | | (333) $false % 21.55/3.87 | | | | % 21.55/3.87 | | | | CLOSE: (333) is inconsistent. % 21.55/3.87 | | | | % 21.55/3.87 | | | End of split % 21.55/3.87 | | | % 21.55/3.87 | | Case 2: % 21.55/3.87 | | | % 21.55/3.87 | | | (334) ~ (all_32_1 = 0) % 21.55/3.87 | | | % 21.55/3.87 | | | REDUCE: (83), (334) imply: % 21.55/3.87 | | | (335) $false % 21.55/3.87 | | | % 21.55/3.87 | | | CLOSE: (335) is inconsistent. % 21.55/3.87 | | | % 21.55/3.87 | | End of split % 21.55/3.87 | | % 21.55/3.87 | End of split % 21.55/3.87 | % 21.55/3.87 End of proof % 21.55/3.87 % SZS output end Proof for theBenchmark % 21.55/3.87 % 21.55/3.87 3265ms %------------------------------------------------------------------------------