%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GEO190+3 : TPTP v8.1.2. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n005.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 23:22:04 EDT 2023 % Result : Theorem 38.57s 5.77s % Output : Proof 39.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GEO190+3 : TPTP v8.1.2. Released v4.0.0. % 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.34 % Computer : n005.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Tue Aug 29 19:55:37 EDT 2023 % 0.12/0.34 % CPUTime : % 0.19/0.61 ________ _____ % 0.19/0.61 ___ __ \_________(_)________________________________ % 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.61 % 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.61 (2023-06-19) % 0.19/0.61 % 0.19/0.61 (c) Philipp Rümmer, 2009-2023 % 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.61 Amanda Stjerna. % 0.19/0.61 Free software under BSD-3-Clause. % 0.19/0.61 % 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.61 % 0.19/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.19/0.62 Running up to 7 provers in parallel. % 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.27/1.14 Prover 1: Preprocessing ... % 3.27/1.14 Prover 4: Preprocessing ... % 3.27/1.18 Prover 5: Preprocessing ... % 3.27/1.18 Prover 0: Preprocessing ... % 3.27/1.18 Prover 2: Preprocessing ... % 3.27/1.18 Prover 6: Preprocessing ... % 3.27/1.19 Prover 3: Preprocessing ... % 6.35/1.58 Prover 5: Proving ... % 6.35/1.59 Prover 2: Proving ... % 6.95/1.64 Prover 3: Constructing countermodel ... % 6.95/1.65 Prover 6: Constructing countermodel ... % 6.95/1.67 Prover 1: Constructing countermodel ... % 8.07/1.79 Prover 3: gave up % 8.07/1.80 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.07/1.81 Prover 6: gave up % 8.07/1.81 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.61/1.88 Prover 8: Preprocessing ... % 8.61/1.88 Prover 7: Preprocessing ... % 8.61/1.93 Prover 7: Warning: ignoring some quantifiers % 8.61/1.94 Prover 4: Constructing countermodel ... % 8.61/1.95 Prover 7: Constructing countermodel ... % 8.61/1.96 Prover 0: Proving ... % 8.61/1.96 Prover 1: gave up % 8.61/1.96 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 9.52/2.00 Prover 9: Preprocessing ... % 10.06/2.10 Prover 8: Warning: ignoring some quantifiers % 10.06/2.11 Prover 8: Constructing countermodel ... % 12.37/2.34 Prover 8: gave up % 12.37/2.34 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 12.37/2.37 Prover 10: Preprocessing ... % 12.37/2.38 Prover 9: Constructing countermodel ... % 12.96/2.42 Prover 10: Warning: ignoring some quantifiers % 12.96/2.43 Prover 10: Constructing countermodel ... % 13.36/2.53 Prover 10: gave up % 13.36/2.54 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 13.98/2.60 Prover 11: Preprocessing ... % 15.85/2.87 Prover 11: Constructing countermodel ... % 27.25/4.31 Prover 7: gave up % 27.25/4.33 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 27.78/4.38 Prover 12: Preprocessing ... % 28.31/4.54 Prover 12: Proving ... % 38.57/5.76 Prover 4: Found proof (size 364) % 38.57/5.76 Prover 4: proved (5130ms) % 38.57/5.76 Prover 9: stopped % 38.57/5.76 Prover 12: stopped % 38.57/5.76 Prover 2: stopped % 38.57/5.76 Prover 5: stopped % 38.57/5.76 Prover 0: stopped % 38.57/5.77 Prover 11: stopped % 38.57/5.77 % 38.57/5.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 38.57/5.77 % 38.65/5.79 % SZS output start Proof for theBenchmark % 38.65/5.80 Assumptions after simplification: % 38.65/5.80 --------------------------------- % 38.65/5.80 % 38.65/5.80 (a4) % 38.65/5.83 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 38.65/5.83 (incident_point_and_line(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | % 38.65/5.83 apart_point_and_line(v0, v1) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] % 38.65/5.83 : (v2 = 0 | ~ (apart_point_and_line(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | % 38.65/5.83 incident_point_and_line(v0, v1) = 0) & ! [v0: $i] : ! [v1: $i] : ( ~ % 38.65/5.83 (incident_point_and_line(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: int] % 38.65/5.83 : ( ~ (v2 = 0) & apart_point_and_line(v0, v1) = v2)) & ! [v0: $i] : ! [v1: % 38.65/5.83 $i] : ( ~ (apart_point_and_line(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? % 38.65/5.83 [v2: int] : ( ~ (v2 = 0) & incident_point_and_line(v0, v1) = v2)) % 38.65/5.83 % 38.65/5.83 (apart1) % 38.65/5.83 ! [v0: $i] : ( ~ (distinct_points(v0, v0) = 0) | ~ $i(v0)) % 38.65/5.83 % 38.65/5.83 (apart4) % 38.65/5.83 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = % 38.65/5.83 0 | v3 = 0 | ~ (distinct_points(v1, v2) = v4) | ~ (distinct_points(v0, v2) % 38.65/5.83 = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) & % 38.65/5.83 distinct_points(v0, v1) = v5)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 38.65/5.83 ! [v3: int] : (v3 = 0 | ~ (distinct_points(v1, v2) = v3) | ~ % 38.65/5.83 (distinct_points(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 38.65/5.83 distinct_points(v0, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 38.65/5.83 [v3: int] : (v3 = 0 | ~ (distinct_points(v0, v2) = v3) | ~ % 38.65/5.83 (distinct_points(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 38.65/5.83 distinct_points(v1, v2) = 0) % 38.65/5.83 % 38.65/5.83 (ceq2) % 38.65/5.83 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = % 38.65/5.83 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_lines(v1, % 38.65/5.83 v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = % 38.65/5.83 0) & apart_point_and_line(v0, v1) = v5)) & ! [v0: $i] : ! [v1: $i] : % 38.65/5.83 ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0, v2) = v3) | % 38.65/5.83 ~ (apart_point_and_line(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 38.65/5.83 distinct_lines(v1, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 38.65/5.83 [v3: int] : (v3 = 0 | ~ (apart_point_and_line(v0, v1) = 0) | ~ % 38.65/5.83 (distinct_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 38.65/5.83 apart_point_and_line(v0, v2) = 0) % 38.65/5.83 % 38.65/5.83 (ci1) % 38.65/5.84 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) | % 38.65/5.84 ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 38.65/5.84 (apart_point_and_line(v0, v2) = v4 & distinct_points(v0, v1) = v3 & ( ~ (v4 % 38.65/5.84 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 38.65/5.84 (distinct_points(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ? % 38.65/5.84 [v3: int] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 & % 38.65/5.84 apart_point_and_line(v0, v2) = v3 & $i(v2))) % 38.65/5.84 % 38.65/5.84 (ci2) % 38.65/5.84 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) | % 38.65/5.84 ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 38.65/5.84 (apart_point_and_line(v1, v2) = v4 & distinct_points(v0, v1) = v3 & ( ~ (v4 % 38.65/5.84 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 38.65/5.84 (distinct_points(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: $i] : ? % 38.65/5.84 [v3: int] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 & % 38.65/5.84 apart_point_and_line(v1, v2) = v3 & $i(v2))) % 38.65/5.84 % 38.65/5.84 (con) % 38.65/5.84 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 38.65/5.84 int] : ( ~ (v5 = 0) & incident_point_and_line(v2, v4) = v5 & % 38.65/5.84 incident_point_and_line(v2, v3) = 0 & line_connecting(v1, v0) = v4 & % 38.65/5.84 line_connecting(v0, v1) = v3 & distinct_points(v1, v2) = 0 & % 38.65/5.84 distinct_points(v0, v2) = 0 & distinct_points(v0, v1) = 0 & $i(v4) & $i(v3) % 38.65/5.84 & $i(v2) & $i(v1) & $i(v0)) % 38.65/5.84 % 38.65/5.84 (con1) % 38.65/5.84 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) | % 38.65/5.84 ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: % 38.65/5.84 any] : (point(v1) = v4 & point(v0) = v3 & line(v2) = v6 & % 38.65/5.84 distinct_points(v0, v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | % 38.65/5.84 v6 = 0))) & ! [v0: $i] : ! [v1: $i] : ( ~ (distinct_points(v0, v1) = % 38.65/5.84 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] : % 38.65/5.84 ? [v5: any] : (point(v1) = v3 & point(v0) = v2 & line(v4) = v5 & % 38.65/5.84 line_connecting(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = % 38.65/5.84 0))) % 38.65/5.84 % 38.65/5.84 (cu1) % 38.65/5.85 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: % 38.65/5.85 int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) | ~ % 38.65/5.85 (apart_point_and_line(v1, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~ % 38.65/5.85 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : % 38.65/5.85 ? [v8: any] : (apart_point_and_line(v0, v3) = v8 & apart_point_and_line(v0, % 38.65/5.85 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = % 38.65/5.85 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 38.65/5.85 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = % 38.65/5.85 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ (distinct_lines(v2, v3) % 38.65/5.85 = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? % 38.65/5.85 [v7: any] : ? [v8: any] : (apart_point_and_line(v1, v2) = v8 & % 38.65/5.85 apart_point_and_line(v0, v2) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v6 % 38.65/5.85 = 0) | v8 = 0 | v7 = 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 38.65/5.85 ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ % 38.65/5.85 (apart_point_and_line(v1, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4) % 38.65/5.85 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: % 38.65/5.85 any] : ? [v8: any] : ? [v9: any] : (apart_point_and_line(v1, v2) = v9 & % 38.65/5.85 apart_point_and_line(v0, v3) = v8 & distinct_lines(v2, v3) = v7 & % 38.65/5.85 distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = % 38.65/5.85 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 38.65/5.85 int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = % 38.65/5.85 v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 38.65/5.85 $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? [v9: % 38.65/5.85 any] : (apart_point_and_line(v1, v3) = v9 & apart_point_and_line(v0, v2) = % 38.65/5.85 v8 & distinct_lines(v2, v3) = v7 & distinct_points(v0, v1) = v6 & ( ~ (v7 % 38.65/5.85 = 0) | ~ (v6 = 0) | v9 = 0 | v8 = 0))) & ! [v0: $i] : ! [v1: $i] : % 38.65/5.85 ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ % 38.65/5.85 (apart_point_and_line(v1, v2) = v5) | ~ (apart_point_and_line(v0, v2) = v4) % 38.65/5.85 | ~ (distinct_lines(v2, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 38.65/5.85 $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : % 38.65/5.85 (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v0, v3) = v7 & % 38.65/5.85 distinct_points(v0, v1) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) & ! [v0: % 38.65/5.85 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] % 38.65/5.85 : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v0, v3) = v5) | ~ % 38.65/5.85 (apart_point_and_line(v0, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~ % 38.65/5.85 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : % 38.65/5.85 ? [v8: any] : (apart_point_and_line(v1, v3) = v8 & apart_point_and_line(v1, % 38.65/5.85 v2) = v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = % 38.65/5.85 0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 38.65/5.85 (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ~ $i(v3) % 38.65/5.85 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: % 38.65/5.85 any] : ? [v7: any] : (apart_point_and_line(v1, v3) = v7 & % 38.65/5.85 apart_point_and_line(v1, v2) = v6 & apart_point_and_line(v0, v3) = v5 & % 38.65/5.85 apart_point_and_line(v0, v2) = v4 & (v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0))) % 38.65/5.85 % 38.65/5.85 (function-axioms) % 38.65/5.86 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 38.65/5.86 [v3: $i] : (v1 = v0 | ~ (orthogonal_lines(v3, v2) = v1) | ~ % 38.65/5.86 (orthogonal_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 38.65/5.86 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 38.65/5.86 (incident_point_and_line(v3, v2) = v1) | ~ (incident_point_and_line(v3, v2) % 38.65/5.86 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 38.65/5.86 $i] : ! [v3: $i] : (v1 = v0 | ~ (parallel_lines(v3, v2) = v1) | ~ % 38.65/5.86 (parallel_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 38.65/5.86 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 38.65/5.86 (equal_lines(v3, v2) = v1) | ~ (equal_lines(v3, v2) = v0)) & ! [v0: % 38.65/5.86 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 38.65/5.86 : (v1 = v0 | ~ (equal_points(v3, v2) = v1) | ~ (equal_points(v3, v2) = v0)) % 38.65/5.86 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 38.65/5.86 (orthogonal_through_point(v3, v2) = v1) | ~ (orthogonal_through_point(v3, % 38.65/5.86 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 38.65/5.86 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (unorthogonal_lines(v3, v2) = v1) | % 38.65/5.86 ~ (unorthogonal_lines(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 38.65/5.86 $i] : ! [v3: $i] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~ % 38.65/5.86 (parallel_through_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 38.65/5.86 $i] : ! [v3: $i] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~ % 38.65/5.86 (intersection_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 38.65/5.86 : ! [v3: $i] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~ % 38.65/5.86 (line_connecting(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 38.65/5.86 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 38.65/5.86 (apart_point_and_line(v3, v2) = v1) | ~ (apart_point_and_line(v3, v2) = % 38.65/5.86 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 38.65/5.86 $i] : ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ % 38.65/5.86 (convergent_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 38.65/5.86 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 38.65/5.86 (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0)) & ! [v0: % 38.65/5.86 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 38.65/5.86 : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) = % 38.65/5.86 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 38.65/5.86 $i] : (v1 = v0 | ~ (point(v2) = v1) | ~ (point(v2) = v0)) & ! [v0: % 38.65/5.86 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 38.65/5.86 ~ (line(v2) = v1) | ~ (line(v2) = v0)) % 38.65/5.86 % 38.65/5.86 Further assumptions not needed in the proof: % 38.65/5.86 -------------------------------------------- % 38.65/5.86 a3, a5, apart2, apart3, apart5, ax1, ax2, ax6, ceq1, ceq3, ci3, ci4, coipo1, % 38.65/5.86 cotno1, couo1, cp1, cp2, cup1, int1, oac1, occu1, ooc1, ooc2, orth1, ouo1, p1, % 38.65/5.86 par1 % 38.65/5.86 % 38.65/5.86 Those formulas are unsatisfiable: % 38.65/5.86 --------------------------------- % 38.65/5.86 % 38.65/5.86 Begin of proof % 38.65/5.86 | % 38.65/5.86 | ALPHA: (apart4) implies: % 38.65/5.86 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 38.65/5.86 | (distinct_points(v1, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | % 38.65/5.86 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | distinct_points(v0, v2) = 0) % 38.65/5.86 | % 38.65/5.86 | ALPHA: (ci1) implies: % 38.65/5.86 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (distinct_points(v0, v1) = 0) | ~ % 38.65/5.86 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) & % 38.65/5.86 | line_connecting(v0, v1) = v2 & apart_point_and_line(v0, v2) = v3 & % 38.65/5.86 | $i(v2))) % 38.65/5.86 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) % 38.65/5.86 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 38.65/5.86 | (apart_point_and_line(v0, v2) = v4 & distinct_points(v0, v1) = v3 & ( % 38.65/5.86 | ~ (v4 = 0) | ~ (v3 = 0)))) % 38.65/5.86 | % 38.65/5.86 | ALPHA: (ci2) implies: % 38.65/5.86 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ (distinct_points(v0, v1) = 0) | ~ % 38.65/5.86 | $i(v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) & % 38.65/5.86 | line_connecting(v0, v1) = v2 & apart_point_and_line(v1, v2) = v3 & % 38.65/5.86 | $i(v2))) % 38.65/5.86 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) % 38.65/5.86 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : % 38.65/5.86 | (apart_point_and_line(v1, v2) = v4 & distinct_points(v0, v1) = v3 & ( % 38.65/5.86 | ~ (v4 = 0) | ~ (v3 = 0)))) % 38.65/5.86 | % 38.65/5.86 | ALPHA: (cu1) implies: % 38.65/5.87 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 38.65/5.87 | (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ~ % 38.65/5.87 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: % 38.65/5.87 | any] : ? [v6: any] : ? [v7: any] : (apart_point_and_line(v1, v3) % 38.65/5.87 | = v7 & apart_point_and_line(v1, v2) = v6 & apart_point_and_line(v0, % 38.65/5.87 | v3) = v5 & apart_point_and_line(v0, v2) = v4 & (v7 = 0 | v6 = 0 | % 38.65/5.87 | v5 = 0 | v4 = 0))) % 38.65/5.87 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 38.65/5.87 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v0, v3) = v5) % 38.65/5.87 | | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_points(v0, % 38.65/5.87 | v1) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? % 38.65/5.87 | [v6: any] : ? [v7: any] : ? [v8: any] : (apart_point_and_line(v1, % 38.65/5.87 | v3) = v8 & apart_point_and_line(v1, v2) = v7 & distinct_lines(v2, % 38.65/5.87 | v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) % 38.65/5.87 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 38.65/5.87 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = v5) % 38.65/5.87 | | ~ (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ % 38.65/5.87 | $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : ? % 38.65/5.87 | [v9: any] : (apart_point_and_line(v1, v3) = v9 & % 38.65/5.87 | apart_point_and_line(v0, v2) = v8 & distinct_lines(v2, v3) = v7 & % 38.65/5.87 | distinct_points(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = 0 % 38.65/5.87 | | v8 = 0))) % 38.65/5.87 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 38.65/5.87 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) % 38.65/5.87 | | ~ (apart_point_and_line(v0, v3) = v4) | ~ (distinct_lines(v2, v3) % 38.65/5.87 | = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] % 38.65/5.87 | : ? [v7: any] : ? [v8: any] : (apart_point_and_line(v1, v2) = v8 & % 38.65/5.87 | apart_point_and_line(v0, v2) = v7 & distinct_points(v0, v1) = v6 & % 38.65/5.87 | ( ~ (v6 = 0) | v8 = 0 | v7 = 0))) % 38.65/5.87 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 38.65/5.87 | ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = % 38.65/5.87 | v5) | ~ (apart_point_and_line(v1, v2) = v4) | ~ % 38.65/5.87 | (distinct_points(v0, v1) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | % 38.65/5.87 | ~ $i(v0) | ? [v6: any] : ? [v7: any] : ? [v8: any] : % 38.65/5.87 | (apart_point_and_line(v0, v3) = v8 & apart_point_and_line(v0, v2) = % 38.65/5.87 | v7 & distinct_lines(v2, v3) = v6 & ( ~ (v6 = 0) | v8 = 0 | v7 = % 38.65/5.87 | 0))) % 38.65/5.87 | % 38.65/5.87 | ALPHA: (ceq2) implies: % 38.65/5.87 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 38.65/5.87 | (apart_point_and_line(v0, v2) = v3) | ~ (apart_point_and_line(v0, % 38.65/5.87 | v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 38.65/5.87 | distinct_lines(v1, v2) = 0) % 38.65/5.87 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] % 38.65/5.87 | : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~ % 38.65/5.87 | (distinct_lines(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 38.65/5.87 | ? [v5: int] : ( ~ (v5 = 0) & apart_point_and_line(v0, v1) = v5)) % 38.65/5.87 | % 38.65/5.87 | ALPHA: (con1) implies: % 38.65/5.87 | (13) ! [v0: $i] : ! [v1: $i] : ( ~ (distinct_points(v0, v1) = 0) | ~ % 38.65/5.87 | $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] : ? % 38.65/5.87 | [v5: any] : (point(v1) = v3 & point(v0) = v2 & line(v4) = v5 & % 38.65/5.87 | line_connecting(v0, v1) = v4 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) % 38.65/5.87 | | v5 = 0))) % 38.65/5.88 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) % 38.65/5.88 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? % 38.65/5.88 | [v5: any] : ? [v6: any] : (point(v1) = v4 & point(v0) = v3 & % 38.65/5.88 | line(v2) = v6 & distinct_points(v0, v1) = v5 & ( ~ (v5 = 0) | ~ % 38.65/5.88 | (v4 = 0) | ~ (v3 = 0) | v6 = 0))) % 38.65/5.88 | % 38.65/5.88 | ALPHA: (a4) implies: % 38.65/5.88 | (15) ! [v0: $i] : ! [v1: $i] : ( ~ (incident_point_and_line(v0, v1) = 0) % 38.65/5.88 | | ~ $i(v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 38.65/5.88 | apart_point_and_line(v0, v1) = v2)) % 38.65/5.88 | (16) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 38.65/5.88 | (incident_point_and_line(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | % 38.65/5.88 | apart_point_and_line(v0, v1) = 0) % 38.65/5.88 | % 38.65/5.88 | ALPHA: (function-axioms) implies: % 38.65/5.88 | (17) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 38.65/5.88 | : ! [v3: $i] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ % 38.65/5.88 | (distinct_points(v3, v2) = v0)) % 38.65/5.88 | (18) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 38.65/5.88 | : ! [v3: $i] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ % 38.65/5.88 | (distinct_lines(v3, v2) = v0)) % 38.65/5.88 | (19) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 38.65/5.88 | : ! [v3: $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ % 38.65/5.88 | (apart_point_and_line(v3, v2) = v0)) % 38.65/5.88 | (20) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 38.65/5.88 | (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0)) % 38.65/5.88 | % 38.65/5.88 | DELTA: instantiating (con) with fresh symbols all_38_0, all_38_1, all_38_2, % 38.65/5.88 | all_38_3, all_38_4, all_38_5 gives: % 38.65/5.88 | (21) ~ (all_38_0 = 0) & incident_point_and_line(all_38_3, all_38_1) = % 38.65/5.88 | all_38_0 & incident_point_and_line(all_38_3, all_38_2) = 0 & % 38.65/5.88 | line_connecting(all_38_4, all_38_5) = all_38_1 & % 38.65/5.88 | line_connecting(all_38_5, all_38_4) = all_38_2 & % 38.65/5.88 | distinct_points(all_38_4, all_38_3) = 0 & distinct_points(all_38_5, % 38.65/5.88 | all_38_3) = 0 & distinct_points(all_38_5, all_38_4) = 0 & % 38.65/5.88 | $i(all_38_1) & $i(all_38_2) & $i(all_38_3) & $i(all_38_4) & % 38.65/5.88 | $i(all_38_5) % 38.65/5.88 | % 38.65/5.88 | ALPHA: (21) implies: % 38.65/5.88 | (22) ~ (all_38_0 = 0) % 38.65/5.88 | (23) $i(all_38_5) % 38.65/5.88 | (24) $i(all_38_4) % 38.65/5.88 | (25) $i(all_38_3) % 38.65/5.88 | (26) $i(all_38_2) % 38.65/5.88 | (27) $i(all_38_1) % 38.65/5.88 | (28) distinct_points(all_38_5, all_38_4) = 0 % 38.65/5.88 | (29) distinct_points(all_38_5, all_38_3) = 0 % 38.65/5.88 | (30) distinct_points(all_38_4, all_38_3) = 0 % 38.65/5.88 | (31) line_connecting(all_38_5, all_38_4) = all_38_2 % 38.65/5.88 | (32) line_connecting(all_38_4, all_38_5) = all_38_1 % 38.65/5.88 | (33) incident_point_and_line(all_38_3, all_38_2) = 0 % 38.65/5.88 | (34) incident_point_and_line(all_38_3, all_38_1) = all_38_0 % 38.65/5.88 | % 38.65/5.88 | GROUND_INST: instantiating (13) with all_38_5, all_38_4, simplifying with % 38.65/5.88 | (23), (24), (28) gives: % 38.65/5.88 | (35) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : % 38.65/5.88 | (point(all_38_4) = v1 & point(all_38_5) = v0 & line(v2) = v3 & % 38.65/5.88 | line_connecting(all_38_5, all_38_4) = v2 & $i(v2) & ( ~ (v1 = 0) | % 38.65/5.88 | ~ (v0 = 0) | v3 = 0)) % 38.65/5.88 | % 38.65/5.88 | GROUND_INST: instantiating (4) with all_38_5, all_38_4, simplifying with (23), % 38.65/5.88 | (24), (28) gives: % 38.65/5.89 | (36) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_5, % 38.65/5.89 | all_38_4) = v0 & apart_point_and_line(all_38_4, v0) = v1 & $i(v0)) % 38.65/5.89 | % 38.65/5.89 | GROUND_INST: instantiating (2) with all_38_5, all_38_4, simplifying with (23), % 38.65/5.89 | (24), (28) gives: % 38.65/5.89 | (37) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_5, % 38.65/5.89 | all_38_4) = v0 & apart_point_and_line(all_38_5, v0) = v1 & $i(v0)) % 38.65/5.89 | % 38.65/5.89 | GROUND_INST: instantiating (13) with all_38_5, all_38_3, simplifying with % 38.65/5.89 | (23), (25), (29) gives: % 39.07/5.89 | (38) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : % 39.07/5.89 | (point(all_38_3) = v1 & point(all_38_5) = v0 & line(v2) = v3 & % 39.07/5.89 | line_connecting(all_38_5, all_38_3) = v2 & $i(v2) & ( ~ (v1 = 0) | % 39.07/5.89 | ~ (v0 = 0) | v3 = 0)) % 39.07/5.89 | % 39.07/5.89 | GROUND_INST: instantiating (4) with all_38_5, all_38_3, simplifying with (23), % 39.07/5.89 | (25), (29) gives: % 39.07/5.89 | (39) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_5, % 39.07/5.89 | all_38_3) = v0 & apart_point_and_line(all_38_3, v0) = v1 & $i(v0)) % 39.07/5.89 | % 39.07/5.89 | GROUND_INST: instantiating (2) with all_38_5, all_38_3, simplifying with (23), % 39.07/5.89 | (25), (29) gives: % 39.07/5.89 | (40) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_5, % 39.07/5.89 | all_38_3) = v0 & apart_point_and_line(all_38_5, v0) = v1 & $i(v0)) % 39.07/5.89 | % 39.07/5.89 | GROUND_INST: instantiating (13) with all_38_4, all_38_3, simplifying with % 39.07/5.89 | (24), (25), (30) gives: % 39.07/5.89 | (41) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: any] : % 39.07/5.89 | (point(all_38_3) = v1 & point(all_38_4) = v0 & line(v2) = v3 & % 39.07/5.89 | line_connecting(all_38_4, all_38_3) = v2 & $i(v2) & ( ~ (v1 = 0) | % 39.07/5.89 | ~ (v0 = 0) | v3 = 0)) % 39.07/5.89 | % 39.07/5.89 | GROUND_INST: instantiating (4) with all_38_4, all_38_3, simplifying with (24), % 39.07/5.89 | (25), (30) gives: % 39.07/5.89 | (42) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_4, % 39.07/5.89 | all_38_3) = v0 & apart_point_and_line(all_38_3, v0) = v1 & $i(v0)) % 39.07/5.89 | % 39.07/5.89 | GROUND_INST: instantiating (2) with all_38_4, all_38_3, simplifying with (24), % 39.07/5.89 | (25), (30) gives: % 39.07/5.89 | (43) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & line_connecting(all_38_4, % 39.07/5.89 | all_38_3) = v0 & apart_point_and_line(all_38_4, v0) = v1 & $i(v0)) % 39.07/5.89 | % 39.07/5.89 | GROUND_INST: instantiating (14) with all_38_5, all_38_4, all_38_2, simplifying % 39.07/5.89 | with (23), (24), (31) gives: % 39.07/5.89 | (44) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 39.07/5.89 | (point(all_38_4) = v1 & point(all_38_5) = v0 & line(all_38_2) = v3 & % 39.07/5.89 | distinct_points(all_38_5, all_38_4) = v2 & ( ~ (v2 = 0) | ~ (v1 = % 39.07/5.89 | 0) | ~ (v0 = 0) | v3 = 0)) % 39.07/5.89 | % 39.07/5.89 | GROUND_INST: instantiating (5) with all_38_5, all_38_4, all_38_2, simplifying % 39.07/5.89 | with (23), (24), (31) gives: % 39.07/5.89 | (45) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_4, % 39.07/5.89 | all_38_2) = v1 & distinct_points(all_38_5, all_38_4) = v0 & ( ~ % 39.07/5.89 | (v1 = 0) | ~ (v0 = 0))) % 39.07/5.89 | % 39.07/5.89 | GROUND_INST: instantiating (3) with all_38_5, all_38_4, all_38_2, simplifying % 39.07/5.89 | with (23), (24), (31) gives: % 39.07/5.89 | (46) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_5, % 39.07/5.89 | all_38_2) = v1 & distinct_points(all_38_5, all_38_4) = v0 & ( ~ % 39.07/5.89 | (v1 = 0) | ~ (v0 = 0))) % 39.07/5.89 | % 39.07/5.89 | GROUND_INST: instantiating (14) with all_38_4, all_38_5, all_38_1, simplifying % 39.07/5.89 | with (23), (24), (32) gives: % 39.07/5.90 | (47) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 39.07/5.90 | (point(all_38_4) = v0 & point(all_38_5) = v1 & line(all_38_1) = v3 & % 39.07/5.90 | distinct_points(all_38_4, all_38_5) = v2 & ( ~ (v2 = 0) | ~ (v1 = % 39.07/5.90 | 0) | ~ (v0 = 0) | v3 = 0)) % 39.07/5.90 | % 39.07/5.90 | GROUND_INST: instantiating (5) with all_38_4, all_38_5, all_38_1, simplifying % 39.07/5.90 | with (23), (24), (32) gives: % 39.07/5.90 | (48) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_5, % 39.07/5.90 | all_38_1) = v1 & distinct_points(all_38_4, all_38_5) = v0 & ( ~ % 39.07/5.90 | (v1 = 0) | ~ (v0 = 0))) % 39.07/5.90 | % 39.07/5.90 | GROUND_INST: instantiating (3) with all_38_4, all_38_5, all_38_1, simplifying % 39.07/5.90 | with (23), (24), (32) gives: % 39.07/5.90 | (49) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_38_4, % 39.07/5.90 | all_38_1) = v1 & distinct_points(all_38_4, all_38_5) = v0 & ( ~ % 39.07/5.90 | (v1 = 0) | ~ (v0 = 0))) % 39.07/5.90 | % 39.07/5.90 | GROUND_INST: instantiating (15) with all_38_3, all_38_2, simplifying with % 39.07/5.90 | (25), (26), (33) gives: % 39.07/5.90 | (50) ? [v0: int] : ( ~ (v0 = 0) & apart_point_and_line(all_38_3, all_38_2) % 39.07/5.90 | = v0) % 39.07/5.90 | % 39.07/5.90 | GROUND_INST: instantiating (16) with all_38_3, all_38_1, all_38_0, simplifying % 39.07/5.90 | with (25), (27), (34) gives: % 39.07/5.90 | (51) all_38_0 = 0 | apart_point_and_line(all_38_3, all_38_1) = 0 % 39.07/5.90 | % 39.07/5.90 | DELTA: instantiating (50) with fresh symbol all_45_0 gives: % 39.07/5.90 | (52) ~ (all_45_0 = 0) & apart_point_and_line(all_38_3, all_38_2) = % 39.07/5.90 | all_45_0 % 39.07/5.90 | % 39.07/5.90 | ALPHA: (52) implies: % 39.07/5.90 | (53) ~ (all_45_0 = 0) % 39.07/5.90 | (54) apart_point_and_line(all_38_3, all_38_2) = all_45_0 % 39.07/5.90 | % 39.07/5.90 | DELTA: instantiating (42) with fresh symbols all_53_0, all_53_1 gives: % 39.07/5.90 | (55) ~ (all_53_0 = 0) & line_connecting(all_38_4, all_38_3) = all_53_1 & % 39.07/5.90 | apart_point_and_line(all_38_3, all_53_1) = all_53_0 & $i(all_53_1) % 39.07/5.90 | % 39.07/5.90 | ALPHA: (55) implies: % 39.07/5.90 | (56) ~ (all_53_0 = 0) % 39.07/5.90 | (57) apart_point_and_line(all_38_3, all_53_1) = all_53_0 % 39.07/5.90 | (58) line_connecting(all_38_4, all_38_3) = all_53_1 % 39.07/5.90 | % 39.07/5.90 | DELTA: instantiating (46) with fresh symbols all_55_0, all_55_1 gives: % 39.07/5.90 | (59) apart_point_and_line(all_38_5, all_38_2) = all_55_0 & % 39.07/5.90 | distinct_points(all_38_5, all_38_4) = all_55_1 & ( ~ (all_55_0 = 0) | % 39.07/5.90 | ~ (all_55_1 = 0)) % 39.07/5.90 | % 39.07/5.90 | ALPHA: (59) implies: % 39.07/5.90 | (60) distinct_points(all_38_5, all_38_4) = all_55_1 % 39.07/5.90 | (61) apart_point_and_line(all_38_5, all_38_2) = all_55_0 % 39.07/5.90 | % 39.07/5.90 | DELTA: instantiating (43) with fresh symbols all_57_0, all_57_1 gives: % 39.07/5.90 | (62) ~ (all_57_0 = 0) & line_connecting(all_38_4, all_38_3) = all_57_1 & % 39.07/5.90 | apart_point_and_line(all_38_4, all_57_1) = all_57_0 & $i(all_57_1) % 39.07/5.90 | % 39.07/5.90 | ALPHA: (62) implies: % 39.07/5.90 | (63) ~ (all_57_0 = 0) % 39.07/5.90 | (64) $i(all_57_1) % 39.07/5.90 | (65) apart_point_and_line(all_38_4, all_57_1) = all_57_0 % 39.07/5.90 | (66) line_connecting(all_38_4, all_38_3) = all_57_1 % 39.07/5.90 | % 39.07/5.90 | DELTA: instantiating (39) with fresh symbols all_59_0, all_59_1 gives: % 39.07/5.90 | (67) ~ (all_59_0 = 0) & line_connecting(all_38_5, all_38_3) = all_59_1 & % 39.07/5.90 | apart_point_and_line(all_38_3, all_59_1) = all_59_0 & $i(all_59_1) % 39.07/5.90 | % 39.07/5.90 | ALPHA: (67) implies: % 39.07/5.90 | (68) ~ (all_59_0 = 0) % 39.07/5.90 | (69) apart_point_and_line(all_38_3, all_59_1) = all_59_0 % 39.07/5.90 | (70) line_connecting(all_38_5, all_38_3) = all_59_1 % 39.07/5.90 | % 39.07/5.90 | DELTA: instantiating (36) with fresh symbols all_61_0, all_61_1 gives: % 39.07/5.90 | (71) ~ (all_61_0 = 0) & line_connecting(all_38_5, all_38_4) = all_61_1 & % 39.07/5.90 | apart_point_and_line(all_38_4, all_61_1) = all_61_0 & $i(all_61_1) % 39.07/5.90 | % 39.07/5.90 | ALPHA: (71) implies: % 39.07/5.90 | (72) $i(all_61_1) % 39.07/5.90 | (73) apart_point_and_line(all_38_4, all_61_1) = all_61_0 % 39.07/5.90 | (74) line_connecting(all_38_5, all_38_4) = all_61_1 % 39.07/5.90 | % 39.07/5.90 | DELTA: instantiating (49) with fresh symbols all_63_0, all_63_1 gives: % 39.07/5.90 | (75) apart_point_and_line(all_38_4, all_38_1) = all_63_0 & % 39.07/5.90 | distinct_points(all_38_4, all_38_5) = all_63_1 & ( ~ (all_63_0 = 0) | % 39.07/5.90 | ~ (all_63_1 = 0)) % 39.07/5.90 | % 39.07/5.90 | ALPHA: (75) implies: % 39.07/5.90 | (76) distinct_points(all_38_4, all_38_5) = all_63_1 % 39.07/5.90 | (77) apart_point_and_line(all_38_4, all_38_1) = all_63_0 % 39.07/5.90 | (78) ~ (all_63_0 = 0) | ~ (all_63_1 = 0) % 39.07/5.90 | % 39.07/5.90 | DELTA: instantiating (45) with fresh symbols all_65_0, all_65_1 gives: % 39.07/5.90 | (79) apart_point_and_line(all_38_4, all_38_2) = all_65_0 & % 39.07/5.90 | distinct_points(all_38_5, all_38_4) = all_65_1 & ( ~ (all_65_0 = 0) | % 39.07/5.90 | ~ (all_65_1 = 0)) % 39.07/5.90 | % 39.07/5.90 | ALPHA: (79) implies: % 39.07/5.90 | (80) distinct_points(all_38_5, all_38_4) = all_65_1 % 39.07/5.90 | (81) apart_point_and_line(all_38_4, all_38_2) = all_65_0 % 39.07/5.90 | (82) ~ (all_65_0 = 0) | ~ (all_65_1 = 0) % 39.07/5.90 | % 39.07/5.90 | DELTA: instantiating (40) with fresh symbols all_67_0, all_67_1 gives: % 39.07/5.90 | (83) ~ (all_67_0 = 0) & line_connecting(all_38_5, all_38_3) = all_67_1 & % 39.07/5.90 | apart_point_and_line(all_38_5, all_67_1) = all_67_0 & $i(all_67_1) % 39.07/5.90 | % 39.07/5.90 | ALPHA: (83) implies: % 39.07/5.90 | (84) ~ (all_67_0 = 0) % 39.07/5.90 | (85) $i(all_67_1) % 39.07/5.90 | (86) apart_point_and_line(all_38_5, all_67_1) = all_67_0 % 39.07/5.90 | (87) line_connecting(all_38_5, all_38_3) = all_67_1 % 39.07/5.90 | % 39.07/5.90 | DELTA: instantiating (48) with fresh symbols all_69_0, all_69_1 gives: % 39.07/5.90 | (88) apart_point_and_line(all_38_5, all_38_1) = all_69_0 & % 39.07/5.90 | distinct_points(all_38_4, all_38_5) = all_69_1 & ( ~ (all_69_0 = 0) | % 39.07/5.90 | ~ (all_69_1 = 0)) % 39.07/5.90 | % 39.07/5.91 | ALPHA: (88) implies: % 39.07/5.91 | (89) distinct_points(all_38_4, all_38_5) = all_69_1 % 39.07/5.91 | (90) apart_point_and_line(all_38_5, all_38_1) = all_69_0 % 39.07/5.91 | (91) ~ (all_69_0 = 0) | ~ (all_69_1 = 0) % 39.07/5.91 | % 39.07/5.91 | DELTA: instantiating (37) with fresh symbols all_71_0, all_71_1 gives: % 39.07/5.91 | (92) ~ (all_71_0 = 0) & line_connecting(all_38_5, all_38_4) = all_71_1 & % 39.07/5.91 | apart_point_and_line(all_38_5, all_71_1) = all_71_0 & $i(all_71_1) % 39.07/5.91 | % 39.07/5.91 | ALPHA: (92) implies: % 39.07/5.91 | (93) ~ (all_71_0 = 0) % 39.07/5.91 | (94) apart_point_and_line(all_38_5, all_71_1) = all_71_0 % 39.07/5.91 | (95) line_connecting(all_38_5, all_38_4) = all_71_1 % 39.07/5.91 | % 39.07/5.91 | DELTA: instantiating (41) with fresh symbols all_73_0, all_73_1, all_73_2, % 39.07/5.91 | all_73_3 gives: % 39.07/5.91 | (96) point(all_38_3) = all_73_2 & point(all_38_4) = all_73_3 & % 39.07/5.91 | line(all_73_1) = all_73_0 & line_connecting(all_38_4, all_38_3) = % 39.07/5.91 | all_73_1 & $i(all_73_1) & ( ~ (all_73_2 = 0) | ~ (all_73_3 = 0) | % 39.07/5.91 | all_73_0 = 0) % 39.07/5.91 | % 39.07/5.91 | ALPHA: (96) implies: % 39.07/5.91 | (97) line_connecting(all_38_4, all_38_3) = all_73_1 % 39.07/5.91 | % 39.07/5.91 | DELTA: instantiating (44) with fresh symbols all_75_0, all_75_1, all_75_2, % 39.07/5.91 | all_75_3 gives: % 39.07/5.91 | (98) point(all_38_4) = all_75_2 & point(all_38_5) = all_75_3 & % 39.07/5.91 | line(all_38_2) = all_75_0 & distinct_points(all_38_5, all_38_4) = % 39.07/5.91 | all_75_1 & ( ~ (all_75_1 = 0) | ~ (all_75_2 = 0) | ~ (all_75_3 = 0) % 39.07/5.91 | | all_75_0 = 0) % 39.07/5.91 | % 39.07/5.91 | ALPHA: (98) implies: % 39.07/5.91 | (99) distinct_points(all_38_5, all_38_4) = all_75_1 % 39.07/5.91 | % 39.07/5.91 | DELTA: instantiating (38) with fresh symbols all_77_0, all_77_1, all_77_2, % 39.07/5.91 | all_77_3 gives: % 39.07/5.91 | (100) point(all_38_3) = all_77_2 & point(all_38_5) = all_77_3 & % 39.07/5.91 | line(all_77_1) = all_77_0 & line_connecting(all_38_5, all_38_3) = % 39.07/5.91 | all_77_1 & $i(all_77_1) & ( ~ (all_77_2 = 0) | ~ (all_77_3 = 0) | % 39.07/5.91 | all_77_0 = 0) % 39.07/5.91 | % 39.07/5.91 | ALPHA: (100) implies: % 39.07/5.91 | (101) line_connecting(all_38_5, all_38_3) = all_77_1 % 39.07/5.91 | % 39.07/5.91 | DELTA: instantiating (35) with fresh symbols all_79_0, all_79_1, all_79_2, % 39.07/5.91 | all_79_3 gives: % 39.07/5.91 | (102) point(all_38_4) = all_79_2 & point(all_38_5) = all_79_3 & % 39.07/5.91 | line(all_79_1) = all_79_0 & line_connecting(all_38_5, all_38_4) = % 39.07/5.91 | all_79_1 & $i(all_79_1) & ( ~ (all_79_2 = 0) | ~ (all_79_3 = 0) | % 39.07/5.91 | all_79_0 = 0) % 39.07/5.91 | % 39.07/5.91 | ALPHA: (102) implies: % 39.07/5.91 | (103) line_connecting(all_38_5, all_38_4) = all_79_1 % 39.07/5.91 | % 39.07/5.91 | DELTA: instantiating (47) with fresh symbols all_81_0, all_81_1, all_81_2, % 39.07/5.91 | all_81_3 gives: % 39.07/5.91 | (104) point(all_38_4) = all_81_3 & point(all_38_5) = all_81_2 & % 39.07/5.91 | line(all_38_1) = all_81_0 & distinct_points(all_38_4, all_38_5) = % 39.07/5.91 | all_81_1 & ( ~ (all_81_1 = 0) | ~ (all_81_2 = 0) | ~ (all_81_3 = 0) % 39.07/5.91 | | all_81_0 = 0) % 39.07/5.91 | % 39.07/5.91 | ALPHA: (104) implies: % 39.07/5.91 | (105) distinct_points(all_38_4, all_38_5) = all_81_1 % 39.07/5.91 | % 39.07/5.91 | BETA: splitting (51) gives: % 39.07/5.91 | % 39.07/5.91 | Case 1: % 39.07/5.91 | | % 39.07/5.91 | | (106) apart_point_and_line(all_38_3, all_38_1) = 0 % 39.07/5.91 | | % 39.07/5.91 | | GROUND_INST: instantiating (17) with 0, all_65_1, all_38_4, all_38_5, % 39.07/5.91 | | simplifying with (28), (80) gives: % 39.07/5.91 | | (107) all_65_1 = 0 % 39.07/5.91 | | % 39.07/5.91 | | GROUND_INST: instantiating (17) with all_65_1, all_75_1, all_38_4, all_38_5, % 39.07/5.91 | | simplifying with (80), (99) gives: % 39.07/5.91 | | (108) all_75_1 = all_65_1 % 39.07/5.91 | | % 39.07/5.91 | | GROUND_INST: instantiating (17) with all_55_1, all_75_1, all_38_4, all_38_5, % 39.07/5.91 | | simplifying with (60), (99) gives: % 39.07/5.91 | | (109) all_75_1 = all_55_1 % 39.07/5.91 | | % 39.07/5.91 | | GROUND_INST: instantiating (17) with all_69_1, all_81_1, all_38_5, all_38_4, % 39.07/5.91 | | simplifying with (89), (105) gives: % 39.07/5.91 | | (110) all_81_1 = all_69_1 % 39.07/5.91 | | % 39.07/5.91 | | GROUND_INST: instantiating (17) with all_63_1, all_81_1, all_38_5, all_38_4, % 39.07/5.91 | | simplifying with (76), (105) gives: % 39.07/5.91 | | (111) all_81_1 = all_63_1 % 39.07/5.91 | | % 39.07/5.91 | | GROUND_INST: instantiating (20) with all_38_2, all_79_1, all_38_4, all_38_5, % 39.07/5.91 | | simplifying with (31), (103) gives: % 39.07/5.91 | | (112) all_79_1 = all_38_2 % 39.07/5.91 | | % 39.07/5.91 | | GROUND_INST: instantiating (20) with all_71_1, all_79_1, all_38_4, all_38_5, % 39.07/5.91 | | simplifying with (95), (103) gives: % 39.07/5.91 | | (113) all_79_1 = all_71_1 % 39.07/5.91 | | % 39.07/5.91 | | GROUND_INST: instantiating (20) with all_61_1, all_79_1, all_38_4, all_38_5, % 39.07/5.91 | | simplifying with (74), (103) gives: % 39.07/5.91 | | (114) all_79_1 = all_61_1 % 39.07/5.91 | | % 39.07/5.91 | | GROUND_INST: instantiating (20) with all_67_1, all_77_1, all_38_3, all_38_5, % 39.07/5.91 | | simplifying with (87), (101) gives: % 39.07/5.91 | | (115) all_77_1 = all_67_1 % 39.07/5.91 | | % 39.07/5.91 | | GROUND_INST: instantiating (20) with all_59_1, all_77_1, all_38_3, all_38_5, % 39.07/5.91 | | simplifying with (70), (101) gives: % 39.07/5.91 | | (116) all_77_1 = all_59_1 % 39.07/5.91 | | % 39.07/5.91 | | GROUND_INST: instantiating (20) with all_57_1, all_73_1, all_38_3, all_38_4, % 39.07/5.91 | | simplifying with (66), (97) gives: % 39.07/5.91 | | (117) all_73_1 = all_57_1 % 39.07/5.91 | | % 39.07/5.91 | | GROUND_INST: instantiating (20) with all_53_1, all_73_1, all_38_3, all_38_4, % 39.07/5.91 | | simplifying with (58), (97) gives: % 39.07/5.91 | | (118) all_73_1 = all_53_1 % 39.07/5.91 | | % 39.07/5.91 | | COMBINE_EQS: (110), (111) imply: % 39.07/5.91 | | (119) all_69_1 = all_63_1 % 39.07/5.91 | | % 39.07/5.91 | | SIMP: (119) implies: % 39.07/5.91 | | (120) all_69_1 = all_63_1 % 39.07/5.91 | | % 39.07/5.91 | | COMBINE_EQS: (113), (114) imply: % 39.07/5.91 | | (121) all_71_1 = all_61_1 % 39.07/5.91 | | % 39.07/5.91 | | COMBINE_EQS: (112), (113) imply: % 39.07/5.91 | | (122) all_71_1 = all_38_2 % 39.07/5.91 | | % 39.07/5.91 | | COMBINE_EQS: (115), (116) imply: % 39.07/5.91 | | (123) all_67_1 = all_59_1 % 39.07/5.91 | | % 39.07/5.91 | | COMBINE_EQS: (108), (109) imply: % 39.07/5.91 | | (124) all_65_1 = all_55_1 % 39.07/5.91 | | % 39.07/5.91 | | SIMP: (124) implies: % 39.07/5.91 | | (125) all_65_1 = all_55_1 % 39.07/5.91 | | % 39.07/5.91 | | COMBINE_EQS: (117), (118) imply: % 39.07/5.91 | | (126) all_57_1 = all_53_1 % 39.07/5.91 | | % 39.07/5.91 | | SIMP: (126) implies: % 39.07/5.91 | | (127) all_57_1 = all_53_1 % 39.07/5.91 | | % 39.07/5.92 | | COMBINE_EQS: (121), (122) imply: % 39.33/5.92 | | (128) all_61_1 = all_38_2 % 39.33/5.92 | | % 39.33/5.92 | | COMBINE_EQS: (107), (125) imply: % 39.33/5.92 | | (129) all_55_1 = 0 % 39.33/5.92 | | % 39.33/5.92 | | SIMP: (129) implies: % 39.33/5.92 | | (130) all_55_1 = 0 % 39.33/5.92 | | % 39.33/5.92 | | REDUCE: (73), (128) imply: % 39.33/5.92 | | (131) apart_point_and_line(all_38_4, all_38_2) = all_61_0 % 39.33/5.92 | | % 39.33/5.92 | | REDUCE: (65), (127) imply: % 39.33/5.92 | | (132) apart_point_and_line(all_38_4, all_53_1) = all_57_0 % 39.33/5.92 | | % 39.33/5.92 | | REDUCE: (94), (122) imply: % 39.33/5.92 | | (133) apart_point_and_line(all_38_5, all_38_2) = all_71_0 % 39.33/5.92 | | % 39.33/5.92 | | REDUCE: (86), (123) imply: % 39.33/5.92 | | (134) apart_point_and_line(all_38_5, all_59_1) = all_67_0 % 39.33/5.92 | | % 39.33/5.92 | | REDUCE: (85), (123) imply: % 39.33/5.92 | | (135) $i(all_59_1) % 39.33/5.92 | | % 39.33/5.92 | | REDUCE: (64), (127) imply: % 39.33/5.92 | | (136) $i(all_53_1) % 39.33/5.92 | | % 39.33/5.92 | | BETA: splitting (82) gives: % 39.33/5.92 | | % 39.33/5.92 | | Case 1: % 39.33/5.92 | | | % 39.33/5.92 | | | (137) ~ (all_65_0 = 0) % 39.33/5.92 | | | % 39.33/5.92 | | | GROUND_INST: instantiating (19) with all_55_0, all_71_0, all_38_2, % 39.33/5.92 | | | all_38_5, simplifying with (61), (133) gives: % 39.33/5.92 | | | (138) all_71_0 = all_55_0 % 39.33/5.92 | | | % 39.33/5.92 | | | GROUND_INST: instantiating (19) with all_65_0, all_61_0, all_38_2, % 39.33/5.92 | | | all_38_4, simplifying with (81), (131) gives: % 39.33/5.92 | | | (139) all_65_0 = all_61_0 % 39.33/5.92 | | | % 39.33/5.92 | | | REDUCE: (93), (138) imply: % 39.33/5.92 | | | (140) ~ (all_55_0 = 0) % 39.33/5.92 | | | % 39.33/5.92 | | | REDUCE: (137), (139) imply: % 39.33/5.92 | | | (141) ~ (all_61_0 = 0) % 39.33/5.92 | | | % 39.33/5.92 | | | GROUND_INST: instantiating (1) with all_38_5, all_38_4, all_38_5, % 39.33/5.92 | | | all_63_1, simplifying with (23), (24), (28), (76) gives: % 39.33/5.92 | | | (142) all_63_1 = 0 | distinct_points(all_38_5, all_38_5) = 0 % 39.33/5.92 | | | % 39.33/5.92 | | | GROUND_INST: instantiating (7) with all_38_5, all_38_4, all_38_2, % 39.33/5.92 | | | all_38_2, all_55_0, all_55_0, simplifying with (23), (24), % 39.33/5.92 | | | (26), (28), (61) gives: % 39.33/5.92 | | | (143) all_55_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 39.33/5.92 | | | (apart_point_and_line(all_38_4, all_38_2) = v2 & % 39.33/5.92 | | | apart_point_and_line(all_38_4, all_38_2) = v1 & % 39.33/5.92 | | | distinct_lines(all_38_2, all_38_2) = v0 & ( ~ (v0 = 0) | v2 = 0 % 39.33/5.92 | | | | v1 = 0)) % 39.33/5.92 | | | % 39.33/5.92 | | | GROUND_INST: instantiating (10) with all_38_5, all_38_4, all_38_2, % 39.33/5.92 | | | all_38_2, all_61_0, all_61_0, simplifying with (23), (24), % 39.33/5.92 | | | (26), (28), (131) gives: % 39.33/5.92 | | | (144) all_61_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 39.33/5.92 | | | (apart_point_and_line(all_38_5, all_38_2) = v2 & % 39.33/5.92 | | | apart_point_and_line(all_38_5, all_38_2) = v1 & % 39.33/5.92 | | | distinct_lines(all_38_2, all_38_2) = v0 & ( ~ (v0 = 0) | v2 = 0 % 39.33/5.92 | | | | v1 = 0)) % 39.33/5.92 | | | % 39.33/5.92 | | | GROUND_INST: instantiating (8) with all_38_4, all_38_5, all_59_1, % 39.33/5.92 | | | all_38_2, all_61_0, all_67_0, simplifying with (23), (24), % 39.33/5.92 | | | (26), (131), (134), (135) gives: % 39.33/5.92 | | | (145) all_67_0 = 0 | all_61_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 39.33/5.92 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_4, % 39.33/5.92 | | | all_59_1) = v2 & apart_point_and_line(all_38_5, all_38_2) = % 39.33/5.92 | | | v3 & distinct_lines(all_59_1, all_38_2) = v1 & % 39.33/5.92 | | | distinct_points(all_38_4, all_38_5) = v0 & ( ~ (v1 = 0) | ~ % 39.33/5.92 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 39.33/5.92 | | | % 39.33/5.92 | | | GROUND_INST: instantiating (7) with all_38_4, all_38_3, all_38_2, % 39.33/5.92 | | | all_53_1, all_61_0, all_57_0, simplifying with (24), (25), % 39.33/5.92 | | | (26), (30), (131), (132), (136) gives: % 39.33/5.92 | | | (146) all_61_0 = 0 | all_57_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 39.33/5.92 | | | [v2: any] : (apart_point_and_line(all_38_3, all_53_1) = v2 & % 39.33/5.92 | | | apart_point_and_line(all_38_3, all_38_2) = v1 & % 39.33/5.92 | | | distinct_lines(all_38_2, all_53_1) = v0 & ( ~ (v0 = 0) | v2 = 0 % 39.33/5.92 | | | | v1 = 0)) % 39.33/5.92 | | | % 39.33/5.92 | | | GROUND_INST: instantiating (10) with all_38_5, all_38_3, all_38_2, % 39.33/5.92 | | | all_38_2, all_45_0, all_45_0, simplifying with (23), (25), % 39.33/5.92 | | | (26), (29), (54) gives: % 39.33/5.92 | | | (147) all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 39.33/5.92 | | | (apart_point_and_line(all_38_5, all_38_2) = v2 & % 39.33/5.92 | | | apart_point_and_line(all_38_5, all_38_2) = v1 & % 39.33/5.92 | | | distinct_lines(all_38_2, all_38_2) = v0 & ( ~ (v0 = 0) | v2 = 0 % 39.33/5.92 | | | | v1 = 0)) % 39.33/5.92 | | | % 39.33/5.92 | | | GROUND_INST: instantiating (11) with all_38_3, all_38_1, all_38_2, % 39.33/5.92 | | | all_45_0, simplifying with (25), (26), (27), (54), (106) % 39.33/5.92 | | | gives: % 39.33/5.92 | | | (148) all_45_0 = 0 | distinct_lines(all_38_1, all_38_2) = 0 % 39.33/5.92 | | | % 39.33/5.92 | | | GROUND_INST: instantiating (11) with all_38_3, all_38_1, all_53_1, % 39.33/5.92 | | | all_53_0, simplifying with (25), (27), (57), (106), (136) % 39.33/5.92 | | | gives: % 39.33/5.92 | | | (149) all_53_0 = 0 | distinct_lines(all_38_1, all_53_1) = 0 % 39.33/5.92 | | | % 39.33/5.92 | | | GROUND_INST: instantiating (10) with all_38_4, all_38_3, all_53_1, % 39.33/5.92 | | | all_38_2, all_53_0, all_45_0, simplifying with (24), (25), % 39.33/5.92 | | | (26), (30), (54), (57), (136) gives: % 39.33/5.92 | | | (150) all_53_0 = 0 | all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 39.33/5.92 | | | [v2: any] : (apart_point_and_line(all_38_4, all_53_1) = v1 & % 39.33/5.92 | | | apart_point_and_line(all_38_4, all_38_2) = v2 & % 39.33/5.92 | | | distinct_lines(all_53_1, all_38_2) = v0 & ( ~ (v0 = 0) | v2 = 0 % 39.33/5.92 | | | | v1 = 0)) % 39.33/5.92 | | | % 39.33/5.92 | | | GROUND_INST: instantiating (11) with all_38_3, all_38_1, all_59_1, % 39.33/5.92 | | | all_59_0, simplifying with (25), (27), (69), (106), (135) % 39.33/5.92 | | | gives: % 39.33/5.92 | | | (151) all_59_0 = 0 | distinct_lines(all_38_1, all_59_1) = 0 % 39.33/5.92 | | | % 39.33/5.92 | | | GROUND_INST: instantiating (10) with all_38_5, all_38_3, all_59_1, % 39.33/5.92 | | | all_38_2, all_59_0, all_45_0, simplifying with (23), (25), % 39.33/5.92 | | | (26), (29), (54), (69), (135) gives: % 39.33/5.93 | | | (152) all_59_0 = 0 | all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 39.33/5.93 | | | [v2: any] : (apart_point_and_line(all_38_5, all_59_1) = v1 & % 39.33/5.93 | | | apart_point_and_line(all_38_5, all_38_2) = v2 & % 39.33/5.93 | | | distinct_lines(all_59_1, all_38_2) = v0 & ( ~ (v0 = 0) | v2 = 0 % 39.33/5.93 | | | | v1 = 0)) % 39.33/5.93 | | | % 39.33/5.93 | | | GROUND_INST: instantiating (8) with all_38_5, all_38_3, all_59_1, % 39.33/5.93 | | | all_38_2, all_55_0, all_59_0, simplifying with (23), (25), % 39.33/5.93 | | | (26), (61), (69), (135) gives: % 39.33/5.93 | | | (153) all_59_0 = 0 | all_55_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 39.33/5.93 | | | [v2: any] : ? [v3: any] : (apart_point_and_line(all_38_3, % 39.33/5.93 | | | all_38_2) = v3 & apart_point_and_line(all_38_5, all_59_1) = % 39.33/5.93 | | | v2 & distinct_lines(all_59_1, all_38_2) = v1 & % 39.33/5.93 | | | distinct_points(all_38_5, all_38_3) = v0 & ( ~ (v1 = 0) | ~ % 39.33/5.93 | | | (v0 = 0) | v3 = 0 | v2 = 0)) % 39.33/5.93 | | | % 39.33/5.93 | | | BETA: splitting (151) gives: % 39.33/5.93 | | | % 39.33/5.93 | | | Case 1: % 39.33/5.93 | | | | % 39.33/5.93 | | | | (154) distinct_lines(all_38_1, all_59_1) = 0 % 39.33/5.93 | | | | % 39.33/5.93 | | | | BETA: splitting (145) gives: % 39.33/5.93 | | | | % 39.33/5.93 | | | | Case 1: % 39.33/5.93 | | | | | % 39.33/5.93 | | | | | (155) all_67_0 = 0 % 39.33/5.93 | | | | | % 39.33/5.93 | | | | | REDUCE: (84), (155) imply: % 39.33/5.93 | | | | | (156) $false % 39.33/5.93 | | | | | % 39.33/5.93 | | | | | CLOSE: (156) is inconsistent. % 39.33/5.93 | | | | | % 39.33/5.93 | | | | Case 2: % 39.33/5.93 | | | | | % 39.33/5.93 | | | | | (157) all_61_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: any] : % 39.33/5.93 | | | | | ? [v3: any] : (apart_point_and_line(all_38_4, all_59_1) = v2 % 39.33/5.93 | | | | | & apart_point_and_line(all_38_5, all_38_2) = v3 & % 39.33/5.93 | | | | | distinct_lines(all_59_1, all_38_2) = v1 & % 39.33/5.93 | | | | | distinct_points(all_38_4, all_38_5) = v0 & ( ~ (v1 = 0) | % 39.33/5.93 | | | | | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 39.33/5.93 | | | | | % 39.33/5.93 | | | | | BETA: splitting (149) gives: % 39.33/5.93 | | | | | % 39.33/5.93 | | | | | Case 1: % 39.33/5.93 | | | | | | % 39.33/5.93 | | | | | | (158) distinct_lines(all_38_1, all_53_1) = 0 % 39.33/5.93 | | | | | | % 39.33/5.93 | | | | | | BETA: splitting (148) gives: % 39.33/5.93 | | | | | | % 39.33/5.93 | | | | | | Case 1: % 39.33/5.93 | | | | | | | % 39.33/5.93 | | | | | | | (159) distinct_lines(all_38_1, all_38_2) = 0 % 39.33/5.93 | | | | | | | % 39.33/5.93 | | | | | | | BETA: splitting (153) gives: % 39.33/5.93 | | | | | | | % 39.33/5.93 | | | | | | | Case 1: % 39.33/5.93 | | | | | | | | % 39.33/5.93 | | | | | | | | (160) all_59_0 = 0 % 39.33/5.93 | | | | | | | | % 39.33/5.93 | | | | | | | | REDUCE: (68), (160) imply: % 39.33/5.93 | | | | | | | | (161) $false % 39.33/5.93 | | | | | | | | % 39.33/5.93 | | | | | | | | CLOSE: (161) is inconsistent. % 39.33/5.93 | | | | | | | | % 39.33/5.93 | | | | | | | Case 2: % 39.33/5.93 | | | | | | | | % 39.33/5.93 | | | | | | | | (162) all_55_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 39.33/5.93 | | | | | | | | any] : ? [v3: any] : (apart_point_and_line(all_38_3, % 39.33/5.93 | | | | | | | | all_38_2) = v3 & apart_point_and_line(all_38_5, % 39.33/5.93 | | | | | | | | all_59_1) = v2 & distinct_lines(all_59_1, all_38_2) % 39.33/5.93 | | | | | | | | = v1 & distinct_points(all_38_5, all_38_3) = v0 & ( ~ % 39.33/5.93 | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 39.33/5.93 | | | | | | | | % 39.33/5.93 | | | | | | | | BETA: splitting (152) gives: % 39.33/5.93 | | | | | | | | % 39.33/5.93 | | | | | | | | Case 1: % 39.33/5.93 | | | | | | | | | % 39.33/5.93 | | | | | | | | | (163) all_59_0 = 0 % 39.33/5.93 | | | | | | | | | % 39.33/5.93 | | | | | | | | | REDUCE: (68), (163) imply: % 39.33/5.93 | | | | | | | | | (164) $false % 39.33/5.93 | | | | | | | | | % 39.33/5.93 | | | | | | | | | CLOSE: (164) is inconsistent. % 39.33/5.93 | | | | | | | | | % 39.33/5.93 | | | | | | | | Case 2: % 39.33/5.93 | | | | | | | | | % 39.33/5.93 | | | | | | | | | (165) all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: % 39.33/5.93 | | | | | | | | | any] : (apart_point_and_line(all_38_5, all_59_1) = % 39.33/5.93 | | | | | | | | | v1 & apart_point_and_line(all_38_5, all_38_2) = v2 % 39.33/5.93 | | | | | | | | | & distinct_lines(all_59_1, all_38_2) = v0 & ( ~ (v0 % 39.33/5.93 | | | | | | | | | = 0) | v2 = 0 | v1 = 0)) % 39.33/5.93 | | | | | | | | | % 39.33/5.93 | | | | | | | | | BETA: splitting (146) gives: % 39.33/5.93 | | | | | | | | | % 39.33/5.93 | | | | | | | | | Case 1: % 39.33/5.93 | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | (166) all_61_0 = 0 % 39.33/5.93 | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | REDUCE: (141), (166) imply: % 39.33/5.93 | | | | | | | | | | (167) $false % 39.33/5.93 | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | CLOSE: (167) is inconsistent. % 39.33/5.93 | | | | | | | | | | % 39.33/5.93 | | | | | | | | | Case 2: % 39.33/5.93 | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | (168) all_57_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 39.33/5.93 | | | | | | | | | | [v2: any] : (apart_point_and_line(all_38_3, % 39.33/5.93 | | | | | | | | | | all_53_1) = v2 & apart_point_and_line(all_38_3, % 39.33/5.93 | | | | | | | | | | all_38_2) = v1 & distinct_lines(all_38_2, % 39.33/5.93 | | | | | | | | | | all_53_1) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 = % 39.33/5.93 | | | | | | | | | | 0)) % 39.33/5.93 | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | BETA: splitting (157) gives: % 39.33/5.93 | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | Case 1: % 39.33/5.93 | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | (169) all_61_0 = 0 % 39.33/5.93 | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | REDUCE: (141), (169) imply: % 39.33/5.93 | | | | | | | | | | | (170) $false % 39.33/5.93 | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | CLOSE: (170) is inconsistent. % 39.33/5.93 | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | Case 2: % 39.33/5.93 | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | (171) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 39.33/5.93 | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_4, % 39.33/5.93 | | | | | | | | | | | all_59_1) = v2 & % 39.33/5.93 | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_2) = v3 & % 39.33/5.93 | | | | | | | | | | | distinct_lines(all_59_1, all_38_2) = v1 & % 39.33/5.93 | | | | | | | | | | | distinct_points(all_38_4, all_38_5) = v0 & ( ~ % 39.33/5.93 | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 39.33/5.93 | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | DELTA: instantiating (171) with fresh symbols all_369_0, % 39.33/5.93 | | | | | | | | | | | all_369_1, all_369_2, all_369_3 gives: % 39.33/5.93 | | | | | | | | | | | (172) apart_point_and_line(all_38_4, all_59_1) = % 39.33/5.93 | | | | | | | | | | | all_369_1 & apart_point_and_line(all_38_5, % 39.33/5.93 | | | | | | | | | | | all_38_2) = all_369_0 & distinct_lines(all_59_1, % 39.33/5.93 | | | | | | | | | | | all_38_2) = all_369_2 & % 39.33/5.93 | | | | | | | | | | | distinct_points(all_38_4, all_38_5) = all_369_3 & % 39.33/5.93 | | | | | | | | | | | ( ~ (all_369_2 = 0) | ~ (all_369_3 = 0) | % 39.33/5.93 | | | | | | | | | | | all_369_0 = 0 | all_369_1 = 0) % 39.33/5.93 | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | ALPHA: (172) implies: % 39.33/5.93 | | | | | | | | | | | (173) distinct_lines(all_59_1, all_38_2) = all_369_2 % 39.33/5.93 | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | BETA: splitting (144) gives: % 39.33/5.93 | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | Case 1: % 39.33/5.93 | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | (174) all_61_0 = 0 % 39.33/5.93 | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | REDUCE: (141), (174) imply: % 39.33/5.93 | | | | | | | | | | | | (175) $false % 39.33/5.93 | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | CLOSE: (175) is inconsistent. % 39.33/5.93 | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | Case 2: % 39.33/5.93 | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | (176) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 39.33/5.93 | | | | | | | | | | | | (apart_point_and_line(all_38_5, all_38_2) = v2 & % 39.33/5.93 | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_2) = v1 & % 39.33/5.93 | | | | | | | | | | | | distinct_lines(all_38_2, all_38_2) = v0 & ( ~ % 39.33/5.93 | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 39.33/5.93 | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | DELTA: instantiating (176) with fresh symbols all_534_0, % 39.33/5.93 | | | | | | | | | | | | all_534_1, all_534_2 gives: % 39.33/5.93 | | | | | | | | | | | | (177) apart_point_and_line(all_38_5, all_38_2) = % 39.33/5.93 | | | | | | | | | | | | all_534_0 & apart_point_and_line(all_38_5, % 39.33/5.93 | | | | | | | | | | | | all_38_2) = all_534_1 & distinct_lines(all_38_2, % 39.33/5.93 | | | | | | | | | | | | all_38_2) = all_534_2 & ( ~ (all_534_2 = 0) | % 39.33/5.93 | | | | | | | | | | | | all_534_0 = 0 | all_534_1 = 0) % 39.33/5.93 | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | ALPHA: (177) implies: % 39.33/5.93 | | | | | | | | | | | | (178) apart_point_and_line(all_38_5, all_38_2) = % 39.33/5.93 | | | | | | | | | | | | all_534_1 % 39.33/5.93 | | | | | | | | | | | | (179) apart_point_and_line(all_38_5, all_38_2) = % 39.33/5.93 | | | | | | | | | | | | all_534_0 % 39.33/5.93 | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | BETA: splitting (150) gives: % 39.33/5.93 | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | Case 1: % 39.33/5.93 | | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | | (180) all_53_0 = 0 % 39.33/5.93 | | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | | REDUCE: (56), (180) imply: % 39.33/5.93 | | | | | | | | | | | | | (181) $false % 39.33/5.93 | | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | | CLOSE: (181) is inconsistent. % 39.33/5.93 | | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | Case 2: % 39.33/5.93 | | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | | (182) all_45_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 39.33/5.93 | | | | | | | | | | | | | [v2: any] : (apart_point_and_line(all_38_4, % 39.33/5.93 | | | | | | | | | | | | | all_53_1) = v1 & % 39.33/5.93 | | | | | | | | | | | | | apart_point_and_line(all_38_4, all_38_2) = v2 & % 39.33/5.93 | | | | | | | | | | | | | distinct_lines(all_53_1, all_38_2) = v0 & ( ~ % 39.33/5.93 | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 39.33/5.93 | | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | | BETA: splitting (182) gives: % 39.33/5.93 | | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | | Case 1: % 39.33/5.93 | | | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | | | (183) all_45_0 = 0 % 39.33/5.93 | | | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | | | REDUCE: (53), (183) imply: % 39.33/5.93 | | | | | | | | | | | | | | (184) $false % 39.33/5.93 | | | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | | | CLOSE: (184) is inconsistent. % 39.33/5.93 | | | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | | Case 2: % 39.33/5.93 | | | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | | | (185) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 39.33/5.93 | | | | | | | | | | | | | | (apart_point_and_line(all_38_4, all_53_1) = v1 & % 39.33/5.93 | | | | | | | | | | | | | | apart_point_and_line(all_38_4, all_38_2) = v2 & % 39.33/5.93 | | | | | | | | | | | | | | distinct_lines(all_53_1, all_38_2) = v0 & ( ~ % 39.33/5.93 | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 39.33/5.93 | | | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | | | DELTA: instantiating (185) with fresh symbols all_544_0, % 39.33/5.93 | | | | | | | | | | | | | | all_544_1, all_544_2 gives: % 39.33/5.93 | | | | | | | | | | | | | | (186) apart_point_and_line(all_38_4, all_53_1) = % 39.33/5.93 | | | | | | | | | | | | | | all_544_1 & apart_point_and_line(all_38_4, % 39.33/5.93 | | | | | | | | | | | | | | all_38_2) = all_544_0 & distinct_lines(all_53_1, % 39.33/5.93 | | | | | | | | | | | | | | all_38_2) = all_544_2 & ( ~ (all_544_2 = 0) | % 39.33/5.93 | | | | | | | | | | | | | | all_544_0 = 0 | all_544_1 = 0) % 39.33/5.93 | | | | | | | | | | | | | | % 39.33/5.93 | | | | | | | | | | | | | | ALPHA: (186) implies: % 39.33/5.93 | | | | | | | | | | | | | | (187) apart_point_and_line(all_38_4, all_38_2) = % 39.33/5.93 | | | | | | | | | | | | | | all_544_0 % 39.33/5.94 | | | | | | | | | | | | | | (188) apart_point_and_line(all_38_4, all_53_1) = % 39.33/5.94 | | | | | | | | | | | | | | all_544_1 % 39.33/5.94 | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | BETA: splitting (168) gives: % 39.33/5.94 | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | Case 1: % 39.33/5.94 | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | (189) all_57_0 = 0 % 39.33/5.94 | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | REDUCE: (63), (189) imply: % 39.33/5.94 | | | | | | | | | | | | | | | (190) $false % 39.33/5.94 | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | CLOSE: (190) is inconsistent. % 39.33/5.94 | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | Case 2: % 39.33/5.94 | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | (191) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 39.33/5.94 | | | | | | | | | | | | | | | (apart_point_and_line(all_38_3, all_53_1) = v2 & % 39.33/5.94 | | | | | | | | | | | | | | | apart_point_and_line(all_38_3, all_38_2) = v1 & % 39.33/5.94 | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_53_1) = v0 & ( ~ % 39.33/5.94 | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 39.33/5.94 | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | DELTA: instantiating (191) with fresh symbols all_554_0, % 39.33/5.94 | | | | | | | | | | | | | | | all_554_1, all_554_2 gives: % 39.33/5.94 | | | | | | | | | | | | | | | (192) apart_point_and_line(all_38_3, all_53_1) = % 39.33/5.94 | | | | | | | | | | | | | | | all_554_0 & apart_point_and_line(all_38_3, % 39.33/5.94 | | | | | | | | | | | | | | | all_38_2) = all_554_1 & distinct_lines(all_38_2, % 39.33/5.94 | | | | | | | | | | | | | | | all_53_1) = all_554_2 & ( ~ (all_554_2 = 0) | % 39.33/5.94 | | | | | | | | | | | | | | | all_554_0 = 0 | all_554_1 = 0) % 39.33/5.94 | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | ALPHA: (192) implies: % 39.33/5.94 | | | | | | | | | | | | | | | (193) apart_point_and_line(all_38_3, all_53_1) = % 39.33/5.94 | | | | | | | | | | | | | | | all_554_0 % 39.33/5.94 | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | BETA: splitting (143) gives: % 39.33/5.94 | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | Case 1: % 39.33/5.94 | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | (194) all_55_0 = 0 % 39.33/5.94 | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | REDUCE: (140), (194) imply: % 39.33/5.94 | | | | | | | | | | | | | | | | (195) $false % 39.33/5.94 | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | CLOSE: (195) is inconsistent. % 39.33/5.94 | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | Case 2: % 39.33/5.94 | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | (196) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 39.33/5.94 | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_4, all_38_2) = v2 & % 39.33/5.94 | | | | | | | | | | | | | | | | apart_point_and_line(all_38_4, all_38_2) = v1 & % 39.33/5.94 | | | | | | | | | | | | | | | | distinct_lines(all_38_2, all_38_2) = v0 & ( ~ % 39.33/5.94 | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 39.33/5.94 | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | DELTA: instantiating (196) with fresh symbols all_576_0, % 39.33/5.94 | | | | | | | | | | | | | | | | all_576_1, all_576_2 gives: % 39.33/5.94 | | | | | | | | | | | | | | | | (197) apart_point_and_line(all_38_4, all_38_2) = % 39.33/5.94 | | | | | | | | | | | | | | | | all_576_0 & apart_point_and_line(all_38_4, % 39.33/5.94 | | | | | | | | | | | | | | | | all_38_2) = all_576_1 & distinct_lines(all_38_2, % 39.33/5.94 | | | | | | | | | | | | | | | | all_38_2) = all_576_2 & ( ~ (all_576_2 = 0) | % 39.33/5.94 | | | | | | | | | | | | | | | | all_576_0 = 0 | all_576_1 = 0) % 39.33/5.94 | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | ALPHA: (197) implies: % 39.33/5.94 | | | | | | | | | | | | | | | | (198) apart_point_and_line(all_38_4, all_38_2) = % 39.33/5.94 | | | | | | | | | | | | | | | | all_576_1 % 39.33/5.94 | | | | | | | | | | | | | | | | (199) apart_point_and_line(all_38_4, all_38_2) = % 39.33/5.94 | | | | | | | | | | | | | | | | all_576_0 % 39.33/5.94 | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | BETA: splitting (147) gives: % 39.33/5.94 | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | Case 1: % 39.33/5.94 | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | (200) all_45_0 = 0 % 39.33/5.94 | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | REDUCE: (53), (200) imply: % 39.33/5.94 | | | | | | | | | | | | | | | | | (201) $false % 39.33/5.94 | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | CLOSE: (201) is inconsistent. % 39.33/5.94 | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | Case 2: % 39.33/5.94 | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | DELTA: instantiating (176) with fresh symbols all_590_0, % 39.33/5.94 | | | | | | | | | | | | | | | | | all_590_1, all_590_2 gives: % 39.33/5.94 | | | | | | | | | | | | | | | | | (202) apart_point_and_line(all_38_5, all_38_2) = % 39.33/5.94 | | | | | | | | | | | | | | | | | all_590_0 & apart_point_and_line(all_38_5, % 39.33/5.94 | | | | | | | | | | | | | | | | | all_38_2) = all_590_1 & distinct_lines(all_38_2, % 39.33/5.94 | | | | | | | | | | | | | | | | | all_38_2) = all_590_2 & ( ~ (all_590_2 = 0) | % 39.33/5.94 | | | | | | | | | | | | | | | | | all_590_0 = 0 | all_590_1 = 0) % 39.33/5.94 | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | ALPHA: (202) implies: % 39.33/5.94 | | | | | | | | | | | | | | | | | (203) apart_point_and_line(all_38_5, all_38_2) = % 39.33/5.94 | | | | | | | | | | | | | | | | | all_590_1 % 39.33/5.94 | | | | | | | | | | | | | | | | | (204) apart_point_and_line(all_38_5, all_38_2) = % 39.33/5.94 | | | | | | | | | | | | | | | | | all_590_0 % 39.33/5.94 | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | BETA: splitting (165) gives: % 39.33/5.94 | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | Case 1: % 39.33/5.94 | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | (205) all_45_0 = 0 % 39.33/5.94 | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | REDUCE: (53), (205) imply: % 39.33/5.94 | | | | | | | | | | | | | | | | | | (206) $false % 39.33/5.94 | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | CLOSE: (206) is inconsistent. % 39.33/5.94 | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | Case 2: % 39.33/5.94 | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | (207) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 39.33/5.94 | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_5, all_59_1) = v1 & % 39.33/5.94 | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_2) = v2 & % 39.33/5.94 | | | | | | | | | | | | | | | | | | distinct_lines(all_59_1, all_38_2) = v0 & ( ~ % 39.33/5.94 | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 39.33/5.94 | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | DELTA: instantiating (207) with fresh symbols all_600_0, % 39.33/5.94 | | | | | | | | | | | | | | | | | | all_600_1, all_600_2 gives: % 39.33/5.94 | | | | | | | | | | | | | | | | | | (208) apart_point_and_line(all_38_5, all_59_1) = % 39.33/5.94 | | | | | | | | | | | | | | | | | | all_600_1 & apart_point_and_line(all_38_5, % 39.33/5.94 | | | | | | | | | | | | | | | | | | all_38_2) = all_600_0 & distinct_lines(all_59_1, % 39.33/5.94 | | | | | | | | | | | | | | | | | | all_38_2) = all_600_2 & ( ~ (all_600_2 = 0) | % 39.33/5.94 | | | | | | | | | | | | | | | | | | all_600_0 = 0 | all_600_1 = 0) % 39.33/5.94 | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | ALPHA: (208) implies: % 39.33/5.94 | | | | | | | | | | | | | | | | | | (209) distinct_lines(all_59_1, all_38_2) = all_600_2 % 39.33/5.94 | | | | | | | | | | | | | | | | | | (210) apart_point_and_line(all_38_5, all_38_2) = % 39.33/5.94 | | | | | | | | | | | | | | | | | | all_600_0 % 39.33/5.94 | | | | | | | | | | | | | | | | | | (211) apart_point_and_line(all_38_5, all_59_1) = % 39.33/5.94 | | | | | | | | | | | | | | | | | | all_600_1 % 39.33/5.94 | | | | | | | | | | | | | | | | | | (212) ~ (all_600_2 = 0) | all_600_0 = 0 | all_600_1 = 0 % 39.33/5.94 | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives: % 39.33/5.94 | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | Case 1: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (213) all_55_0 = 0 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | REDUCE: (140), (213) imply: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (214) $false % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | CLOSE: (214) is inconsistent. % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | Case 2: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (215) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 39.33/5.94 | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_3, % 39.33/5.94 | | | | | | | | | | | | | | | | | | | all_38_2) = v3 & % 39.33/5.94 | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_59_1) = v2 & % 39.33/5.94 | | | | | | | | | | | | | | | | | | | distinct_lines(all_59_1, all_38_2) = v1 & % 39.33/5.94 | | | | | | | | | | | | | | | | | | | distinct_points(all_38_5, all_38_3) = v0 & ( ~ % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | DELTA: instantiating (215) with fresh symbols all_614_0, % 39.33/5.94 | | | | | | | | | | | | | | | | | | | all_614_1, all_614_2, all_614_3 gives: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (216) apart_point_and_line(all_38_3, all_38_2) = % 39.33/5.94 | | | | | | | | | | | | | | | | | | | all_614_0 & apart_point_and_line(all_38_5, % 39.33/5.94 | | | | | | | | | | | | | | | | | | | all_59_1) = all_614_1 & distinct_lines(all_59_1, % 39.33/5.94 | | | | | | | | | | | | | | | | | | | all_38_2) = all_614_2 & % 39.33/5.94 | | | | | | | | | | | | | | | | | | | distinct_points(all_38_5, all_38_3) = all_614_3 & % 39.33/5.94 | | | | | | | | | | | | | | | | | | | ( ~ (all_614_2 = 0) | ~ (all_614_3 = 0) | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | all_614_0 = 0 | all_614_1 = 0) % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | ALPHA: (216) implies: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (217) distinct_lines(all_59_1, all_38_2) = all_614_2 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (218) apart_point_and_line(all_38_5, all_59_1) = % 39.33/5.94 | | | | | | | | | | | | | | | | | | | all_614_1 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_369_2, all_614_2, % 39.33/5.94 | | | | | | | | | | | | | | | | | | | all_38_2, all_59_1, simplifying with (173), (217) % 39.33/5.94 | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (219) all_614_2 = all_369_2 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (18) with all_600_2, all_614_2, % 39.33/5.94 | | | | | | | | | | | | | | | | | | | all_38_2, all_59_1, simplifying with (209), (217) % 39.33/5.94 | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (220) all_614_2 = all_600_2 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_55_0, all_590_0, % 39.33/5.94 | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (61), (204) % 39.33/5.94 | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (221) all_590_0 = all_55_0 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_534_0, all_590_0, % 39.33/5.94 | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (179), (204) % 39.33/5.94 | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (222) all_590_0 = all_534_0 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_534_1, all_590_0, % 39.33/5.94 | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (178), (204) % 39.33/5.94 | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (223) all_590_0 = all_534_1 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_590_0, all_600_0, % 39.33/5.94 | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (204), (210) % 39.33/5.94 | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (224) all_600_0 = all_590_0 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_590_1, all_600_0, % 39.33/5.94 | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (203), (210) % 39.33/5.94 | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (225) all_600_0 = all_590_1 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_67_0, all_614_1, % 39.33/5.94 | | | | | | | | | | | | | | | | | | | all_59_1, all_38_5, simplifying with (134), (218) % 39.33/5.94 | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (226) all_614_1 = all_67_0 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_600_1, all_614_1, % 39.33/5.94 | | | | | | | | | | | | | | | | | | | all_59_1, all_38_5, simplifying with (211), (218) % 39.33/5.94 | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (227) all_614_1 = all_600_1 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_61_0, all_576_1, % 39.33/5.94 | | | | | | | | | | | | | | | | | | | all_38_2, all_38_4, simplifying with (131), (198) % 39.33/5.94 | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (228) all_576_1 = all_61_0 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_576_1, all_576_0, % 39.33/5.94 | | | | | | | | | | | | | | | | | | | all_38_2, all_38_4, simplifying with (198), (199) % 39.33/5.94 | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (229) all_576_0 = all_576_1 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_544_0, all_576_0, % 39.33/5.94 | | | | | | | | | | | | | | | | | | | all_38_2, all_38_4, simplifying with (187), (199) % 39.33/5.94 | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (230) all_576_0 = all_544_0 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_57_0, all_544_1, % 39.33/5.94 | | | | | | | | | | | | | | | | | | | all_53_1, all_38_4, simplifying with (132), (188) % 39.33/5.94 | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (231) all_544_1 = all_57_0 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_53_0, all_554_0, % 39.33/5.94 | | | | | | | | | | | | | | | | | | | all_53_1, all_38_3, simplifying with (57), (193) % 39.33/5.94 | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (232) all_554_0 = all_53_0 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (226), (227) imply: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (233) all_600_1 = all_67_0 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (219), (220) imply: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (234) all_600_2 = all_369_2 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (224), (225) imply: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (235) all_590_0 = all_590_1 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | SIMP: (235) implies: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (236) all_590_0 = all_590_1 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (221), (236) imply: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (237) all_590_1 = all_55_0 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (223), (236) imply: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (238) all_590_1 = all_534_1 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (222), (236) imply: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (239) all_590_1 = all_534_0 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (238), (239) imply: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (240) all_534_0 = all_534_1 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (237), (239) imply: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (241) all_534_0 = all_55_0 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (229), (230) imply: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (242) all_576_1 = all_544_0 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | SIMP: (242) implies: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (243) all_576_1 = all_544_0 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (228), (243) imply: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (244) all_544_0 = all_61_0 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (240), (241) imply: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (245) all_534_1 = all_55_0 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.94 | | | | | | | | | | | | | | | | | | | SIMP: (245) implies: % 39.33/5.94 | | | | | | | | | | | | | | | | | | | (246) all_534_1 = all_55_0 % 39.33/5.94 | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (225), (237) imply: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | (247) all_600_0 = all_55_0 % 39.33/5.95 | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | Case 1: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (248) ~ (all_600_2 = 0) % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (234), (248) imply: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (249) ~ (all_369_2 = 0) % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_38_5, all_38_4, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_2, simplifying with (23), (24), % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (26), (27), (28), (159) gives: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (250) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_4, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_38_1) = v2 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_4, all_38_2) = v3 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_1) = v0 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_2) = v1 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (v3 = 0 | v2 = 0 | v1 = 0 | v0 = 0)) % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_38_3, all_38_4, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_38_1, all_53_1, all_53_0, all_57_0, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | simplifying with (24), (25), (27), (57), (132), % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (136), (158) gives: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (251) all_57_0 = 0 | all_53_0 = 0 | ? [v0: any] : ? % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | [v1: any] : ? [v2: any] : % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_3, all_38_1) = v1 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_4, all_38_1) = v2 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_3, all_38_4) = v0 & ( ~ % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_38_4, all_38_4, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_38_1, all_53_1, all_57_0, all_57_0, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | simplifying with (24), (27), (132), (136), (158) % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (252) all_57_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | [v2: any] : (apart_point_and_line(all_38_4, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_38_1) = v2 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_4, all_38_1) = v1 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_4, all_38_4) = v0 & ( ~ % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_38_5, all_38_4, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_38_1, all_53_1, simplifying with (23), (24), % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (27), (28), (136), (158) gives: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (253) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_4, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_53_1) = v3 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_4, all_38_1) = v2 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_53_1) = v1 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_1) = v0 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (v3 = 0 | v2 = 0 | v1 = 0 | v0 = 0)) % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (9) with all_38_5, all_38_5, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_38_1, all_59_1, all_67_0, all_67_0, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | simplifying with (23), (27), (134), (135), (154) % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (254) all_67_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | [v2: any] : (apart_point_and_line(all_38_5, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_38_1) = v2 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_1) = v1 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_5, all_38_5) = v0 & ( ~ % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_38_4, all_38_3, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_38_1, all_59_1, simplifying with (24), (25), % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (27), (30), (135), (154) gives: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (255) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_3, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_59_1) = v3 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_3, all_38_1) = v2 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_4, all_59_1) = v1 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_4, all_38_1) = v0 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (v3 = 0 | v2 = 0 | v1 = 0 | v0 = 0)) % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with all_38_5, all_38_4, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_38_1, all_59_1, simplifying with (23), (24), % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (27), (28), (135), (154) gives: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (256) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | [v3: any] : (apart_point_and_line(all_38_4, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_59_1) = v3 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_4, all_38_1) = v2 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_59_1) = v1 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_1) = v0 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (v3 = 0 | v2 = 0 | v1 = 0 | v0 = 0)) % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (12) with all_38_4, all_59_1, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_38_2, all_369_2, all_61_0, simplifying with % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (24), (26), (131), (135), (173) gives: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (257) all_369_2 = 0 | all_61_0 = 0 | ? [v0: int] : ( ~ % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (v0 = 0) & apart_point_and_line(all_38_4, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_59_1) = v0) % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (255) with fresh symbols all_636_0, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_636_1, all_636_2, all_636_3 gives: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (258) apart_point_and_line(all_38_3, all_59_1) = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_636_0 & apart_point_and_line(all_38_3, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_38_1) = all_636_1 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_4, all_59_1) = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_636_2 & apart_point_and_line(all_38_4, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_38_1) = all_636_3 & (all_636_0 = 0 | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_636_1 = 0 | all_636_2 = 0 | all_636_3 = 0) % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | ALPHA: (258) implies: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (259) apart_point_and_line(all_38_4, all_38_1) = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_636_3 % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (250) with fresh symbols all_638_0, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_638_1, all_638_2, all_638_3 gives: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (260) apart_point_and_line(all_38_4, all_38_1) = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_638_1 & apart_point_and_line(all_38_4, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_38_2) = all_638_0 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_1) = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_638_3 & apart_point_and_line(all_38_5, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_38_2) = all_638_2 & (all_638_0 = 0 | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_638_1 = 0 | all_638_2 = 0 | all_638_3 = 0) % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | ALPHA: (260) implies: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (261) apart_point_and_line(all_38_5, all_38_2) = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_638_2 % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (262) apart_point_and_line(all_38_5, all_38_1) = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_638_3 % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (263) apart_point_and_line(all_38_4, all_38_2) = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_638_0 % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (264) apart_point_and_line(all_38_4, all_38_1) = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_638_1 % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (265) all_638_0 = 0 | all_638_1 = 0 | all_638_2 = 0 | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_638_3 = 0 % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (256) with fresh symbols all_640_0, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_640_1, all_640_2, all_640_3 gives: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (266) apart_point_and_line(all_38_4, all_59_1) = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_640_0 & apart_point_and_line(all_38_4, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_38_1) = all_640_1 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_59_1) = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_640_2 & apart_point_and_line(all_38_5, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_38_1) = all_640_3 & (all_640_0 = 0 | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_640_1 = 0 | all_640_2 = 0 | all_640_3 = 0) % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | ALPHA: (266) implies: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (267) apart_point_and_line(all_38_5, all_38_1) = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_640_3 % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (268) apart_point_and_line(all_38_4, all_38_1) = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_640_1 % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (253) with fresh symbols all_642_0, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_642_1, all_642_2, all_642_3 gives: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (269) apart_point_and_line(all_38_4, all_53_1) = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_642_0 & apart_point_and_line(all_38_4, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_38_1) = all_642_1 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_53_1) = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_642_2 & apart_point_and_line(all_38_5, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_38_1) = all_642_3 & (all_642_0 = 0 | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_642_1 = 0 | all_642_2 = 0 | all_642_3 = 0) % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | ALPHA: (269) implies: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (270) apart_point_and_line(all_38_5, all_38_1) = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_642_3 % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | (271) apart_point_and_line(all_38_4, all_38_1) = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | all_642_1 % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | Case 1: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | (272) all_57_0 = 0 % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (272) imply: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | (273) $false % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | CLOSE: (273) is inconsistent. % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | Case 2: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | (274) all_53_0 = 0 | ? [v0: any] : ? [v1: any] : ? % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | [v2: any] : (apart_point_and_line(all_38_3, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | all_38_1) = v1 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_4, all_38_1) = v2 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_3, all_38_4) = v0 & ( ~ % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | (275) all_53_0 = 0 % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (275) imply: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | (276) $false % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (276) is inconsistent. % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | (277) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_3, all_38_1) = v1 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_4, all_38_1) = v2 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_3, all_38_4) = v0 & ( ~ % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (277) with fresh symbols all_683_0, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | all_683_1, all_683_2 gives: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | (278) apart_point_and_line(all_38_3, all_38_1) = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | all_683_1 & apart_point_and_line(all_38_4, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | all_38_1) = all_683_0 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_3, all_38_4) = all_683_2 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_683_2 = 0) | all_683_0 = 0 | all_683_1 = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | 0) % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (278) implies: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | (279) apart_point_and_line(all_38_4, all_38_1) = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | all_683_0 % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | (280) all_57_0 = 0 % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (280) imply: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | (281) $false % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (281) is inconsistent. % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | (282) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_4, all_38_1) = v2 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_4, all_38_1) = v1 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_4, all_38_4) = v0 & ( ~ % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (282) with fresh symbols all_696_0, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | all_696_1, all_696_2 gives: % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | (283) apart_point_and_line(all_38_4, all_38_1) = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | all_696_0 & apart_point_and_line(all_38_4, % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | all_38_1) = all_696_1 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_4, all_38_4) = all_696_2 & % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_696_2 = 0) | all_696_0 = 0 | all_696_1 = % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | 0) % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.95 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (283) implies: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | (284) apart_point_and_line(all_38_4, all_38_1) = % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | all_696_1 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | (285) apart_point_and_line(all_38_4, all_38_1) = % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | all_696_0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | (286) all_67_0 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (286) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | (287) $false % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (287) is inconsistent. % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | (288) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | (apart_point_and_line(all_38_5, all_38_1) = v2 & % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | apart_point_and_line(all_38_5, all_38_1) = v1 & % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_5, all_38_5) = v0 & ( ~ % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | (v0 = 0) | v2 = 0 | v1 = 0)) % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | DELTA: instantiating (288) with fresh symbols all_715_0, % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | all_715_1, all_715_2 gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | (289) apart_point_and_line(all_38_5, all_38_1) = % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | all_715_0 & apart_point_and_line(all_38_5, % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | all_38_1) = all_715_1 & % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | distinct_points(all_38_5, all_38_5) = all_715_2 & % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_715_2 = 0) | all_715_0 = 0 | all_715_1 = % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | 0) % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (289) implies: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | (290) apart_point_and_line(all_38_5, all_38_1) = % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | all_715_1 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | (291) apart_point_and_line(all_38_5, all_38_1) = % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | all_715_0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (292) all_369_2 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (249), (292) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (293) $false % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (293) is inconsistent. % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_55_0, all_638_2, % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_5, simplifying with (61), (261) % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (294) all_638_2 = all_55_0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_640_3, all_642_3, % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_5, simplifying with (267), (270) % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (295) all_642_3 = all_640_3 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_69_0, all_715_1, % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_5, simplifying with (90), (290) % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (296) all_715_1 = all_69_0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_642_3, all_715_1, % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_5, simplifying with (270), (290) % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (297) all_715_1 = all_642_3 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_642_3, all_715_0, % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_5, simplifying with (270), (291) % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (298) all_715_0 = all_642_3 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_638_3, all_715_0, % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_5, simplifying with (262), (291) % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (299) all_715_0 = all_638_3 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_61_0, all_638_0, % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_2, all_38_4, simplifying with (131), (263) % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (300) all_638_0 = all_61_0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_642_1, all_683_0, % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_4, simplifying with (271), (279) % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (301) all_683_0 = all_642_1 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_636_3, all_683_0, % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_4, simplifying with (259), (279) % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (302) all_683_0 = all_636_3 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_63_0, all_696_0, % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_4, simplifying with (77), (285) % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (303) all_696_0 = all_63_0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_696_1, all_696_0, % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_4, simplifying with (284), (285) % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (304) all_696_0 = all_696_1 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_642_1, all_696_0, % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_4, simplifying with (271), (285) % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (305) all_696_0 = all_642_1 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_640_1, all_696_0, % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_4, simplifying with (268), (285) % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (306) all_696_0 = all_640_1 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (19) with all_638_1, all_696_0, % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, all_38_4, simplifying with (264), (285) % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (307) all_696_0 = all_638_1 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (298), (299) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (308) all_642_3 = all_638_3 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (308) implies: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (309) all_642_3 = all_638_3 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (296), (297) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (310) all_642_3 = all_69_0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (310) implies: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (311) all_642_3 = all_69_0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (304), (307) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (312) all_696_1 = all_638_1 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (304), (305) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (313) all_696_1 = all_642_1 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (304), (306) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (314) all_696_1 = all_640_1 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (304) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (315) all_696_1 = all_63_0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (312), (314) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (316) all_640_1 = all_638_1 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (314) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (317) all_642_1 = all_640_1 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (317) implies: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (318) all_642_1 = all_640_1 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (315) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (319) all_640_1 = all_63_0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (302) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (320) all_642_1 = all_636_3 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (320) implies: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (321) all_642_1 = all_636_3 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (321) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (322) all_640_1 = all_636_3 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (322) implies: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (323) all_640_1 = all_636_3 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (295), (311) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (324) all_640_3 = all_69_0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (295), (309) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (325) all_640_3 = all_638_3 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (323) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (326) all_638_1 = all_636_3 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (319) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (327) all_638_1 = all_63_0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (324), (325) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (328) all_638_3 = all_69_0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (326), (327) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | (329) all_636_3 = all_63_0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (78) gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (330) ~ (all_63_0 = 0) % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (331) all_638_0 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (300), (331) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (332) all_61_0 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (332) implies: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (333) all_61_0 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (333) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (334) $false % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (334) is inconsistent. % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (335) all_638_1 = 0 | all_638_2 = 0 | all_638_3 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (336) all_638_1 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (327), (336) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (337) all_63_0 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (337) implies: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (338) all_63_0 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (330), (338) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (339) $false % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (339) is inconsistent. % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (340) all_638_2 = 0 | all_638_3 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (341) all_638_2 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (341) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (342) all_55_0 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (342) implies: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (343) all_55_0 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (343) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (344) $false % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (344) is inconsistent. % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (345) all_638_3 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (345) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (346) all_69_0 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (346) implies: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (347) all_69_0 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (348) ~ (all_69_0 = 0) % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (347), (348) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (349) $false % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (349) is inconsistent. % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350) ~ (all_69_1 = 0) % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (350) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (351) ~ (all_63_1 = 0) % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (142), (351), (apart1) are inconsistent by % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1. % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (352) ~ (all_63_1 = 0) % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (142), (352), (apart1) are inconsistent by % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1. % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | End of split % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | End of split % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | End of split % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | End of split % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | Case 2: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | (353) all_600_0 = 0 | all_600_1 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (353) gives: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | Case 1: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | (354) all_600_0 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (354) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | (355) all_55_0 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | SIMP: (355) implies: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | (356) all_55_0 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (356) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | (357) $false % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | CLOSE: (357) is inconsistent. % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | Case 2: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | (358) all_600_1 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (233), (358) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | (359) all_67_0 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | SIMP: (359) implies: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | (360) all_67_0 = 0 % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (360) imply: % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | (361) $false % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | CLOSE: (361) is inconsistent. % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | End of split % 39.33/5.96 | | | | | | | | | | | | | | | | | | | | % 39.33/5.96 | | | | | | | | | | | | | | | | | | | End of split % 39.33/5.96 | | | | | | | | | | | | | | | | | | | % 39.33/5.97 | | | | | | | | | | | | | | | | | | End of split % 39.33/5.97 | | | | | | | | | | | | | | | | | | % 39.33/5.97 | | | | | | | | | | | | | | | | | End of split % 39.33/5.97 | | | | | | | | | | | | | | | | | % 39.33/5.97 | | | | | | | | | | | | | | | | End of split % 39.33/5.97 | | | | | | | | | | | | | | | | % 39.33/5.97 | | | | | | | | | | | | | | | End of split % 39.33/5.97 | | | | | | | | | | | | | | | % 39.33/5.97 | | | | | | | | | | | | | | End of split % 39.33/5.97 | | | | | | | | | | | | | | % 39.33/5.97 | | | | | | | | | | | | | End of split % 39.33/5.97 | | | | | | | | | | | | | % 39.33/5.97 | | | | | | | | | | | | End of split % 39.33/5.97 | | | | | | | | | | | | % 39.33/5.97 | | | | | | | | | | | End of split % 39.33/5.97 | | | | | | | | | | | % 39.33/5.97 | | | | | | | | | | End of split % 39.33/5.97 | | | | | | | | | | % 39.33/5.97 | | | | | | | | | End of split % 39.33/5.97 | | | | | | | | | % 39.33/5.97 | | | | | | | | End of split % 39.33/5.97 | | | | | | | | % 39.33/5.97 | | | | | | | End of split % 39.33/5.97 | | | | | | | % 39.33/5.97 | | | | | | Case 2: % 39.33/5.97 | | | | | | | % 39.33/5.97 | | | | | | | (362) all_45_0 = 0 % 39.33/5.97 | | | | | | | % 39.33/5.97 | | | | | | | REDUCE: (53), (362) imply: % 39.33/5.97 | | | | | | | (363) $false % 39.33/5.97 | | | | | | | % 39.33/5.97 | | | | | | | CLOSE: (363) is inconsistent. % 39.33/5.97 | | | | | | | % 39.33/5.97 | | | | | | End of split % 39.33/5.97 | | | | | | % 39.33/5.97 | | | | | Case 2: % 39.33/5.97 | | | | | | % 39.33/5.97 | | | | | | (364) all_53_0 = 0 % 39.33/5.97 | | | | | | % 39.33/5.97 | | | | | | REDUCE: (56), (364) imply: % 39.33/5.97 | | | | | | (365) $false % 39.33/5.97 | | | | | | % 39.33/5.97 | | | | | | CLOSE: (365) is inconsistent. % 39.33/5.97 | | | | | | % 39.33/5.97 | | | | | End of split % 39.33/5.97 | | | | | % 39.33/5.97 | | | | End of split % 39.33/5.97 | | | | % 39.33/5.97 | | | Case 2: % 39.33/5.97 | | | | % 39.33/5.97 | | | | (366) all_59_0 = 0 % 39.33/5.97 | | | | % 39.33/5.97 | | | | REDUCE: (68), (366) imply: % 39.33/5.97 | | | | (367) $false % 39.33/5.97 | | | | % 39.33/5.97 | | | | CLOSE: (367) is inconsistent. % 39.33/5.97 | | | | % 39.33/5.97 | | | End of split % 39.33/5.97 | | | % 39.33/5.97 | | Case 2: % 39.33/5.97 | | | % 39.33/5.97 | | | (368) ~ (all_65_1 = 0) % 39.33/5.97 | | | % 39.33/5.97 | | | REDUCE: (107), (368) imply: % 39.33/5.97 | | | (369) $false % 39.33/5.97 | | | % 39.33/5.97 | | | CLOSE: (369) is inconsistent. % 39.33/5.97 | | | % 39.33/5.97 | | End of split % 39.33/5.97 | | % 39.33/5.97 | Case 2: % 39.33/5.97 | | % 39.33/5.97 | | (370) all_38_0 = 0 % 39.33/5.97 | | % 39.33/5.97 | | REDUCE: (22), (370) imply: % 39.33/5.97 | | (371) $false % 39.33/5.97 | | % 39.33/5.97 | | CLOSE: (371) is inconsistent. % 39.33/5.97 | | % 39.33/5.97 | End of split % 39.33/5.97 | % 39.33/5.97 End of proof % 39.33/5.97 % 39.33/5.97 Sub-proof #1 shows that the following formulas are inconsistent: % 39.33/5.97 ---------------------------------------------------------------- % 39.33/5.97 (1) all_63_1 = 0 | distinct_points(all_38_5, all_38_5) = 0 % 39.33/5.97 (2) ! [v0: $i] : ( ~ (distinct_points(v0, v0) = 0) | ~ $i(v0)) % 39.33/5.97 (3) $i(all_38_5) % 39.33/5.97 (4) ~ (all_63_1 = 0) % 39.33/5.97 % 39.33/5.97 Begin of proof % 39.33/5.97 | % 39.33/5.97 | BETA: splitting (1) gives: % 39.33/5.97 | % 39.33/5.97 | Case 1: % 39.33/5.97 | | % 39.33/5.97 | | (5) distinct_points(all_38_5, all_38_5) = 0 % 39.33/5.97 | | % 39.33/5.97 | | GROUND_INST: instantiating (2) with all_38_5, simplifying with (3), (5) % 39.33/5.97 | | gives: % 39.33/5.97 | | (6) $false % 39.33/5.97 | | % 39.33/5.97 | | CLOSE: (6) is inconsistent. % 39.33/5.97 | | % 39.33/5.97 | Case 2: % 39.33/5.97 | | % 39.33/5.97 | | (7) all_63_1 = 0 % 39.33/5.97 | | % 39.33/5.97 | | REDUCE: (4), (7) imply: % 39.33/5.97 | | (8) $false % 39.33/5.97 | | % 39.33/5.97 | | CLOSE: (8) is inconsistent. % 39.33/5.97 | | % 39.33/5.97 | End of split % 39.33/5.97 | % 39.33/5.97 End of proof % 39.33/5.97 % SZS output end Proof for theBenchmark % 39.33/5.97 % 39.33/5.97 5361ms %------------------------------------------------------------------------------