%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : GEO194+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n012.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 : 600s % DateTime : Sat Jul 16 03:48:31 EDT 2022 % Result : Theorem 21.47s 6.17s % Output : Proof 49.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : GEO194+3 : TPTP v8.1.0. Released v4.0.0. % 0.12/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.34 % Computer : n012.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sat Jun 18 06:40:23 EDT 2022 % 0.13/0.35 % CPUTime : % 0.56/0.63 ____ _ % 0.56/0.63 ___ / __ \_____(_)___ ________ __________ % 0.56/0.63 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.66/0.63 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.66/0.63 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.66/0.63 % 0.66/0.63 A Theorem Prover for First-Order Logic % 0.66/0.63 (ePrincess v.1.0) % 0.66/0.63 % 0.66/0.63 (c) Philipp Rümmer, 2009-2015 % 0.66/0.63 (c) Peter Backeman, 2014-2015 % 0.66/0.63 (contributions by Angelo Brillout, Peter Baumgartner) % 0.66/0.63 Free software under GNU Lesser General Public License (LGPL). % 0.66/0.63 Bug reports to peter@backeman.se % 0.66/0.63 % 0.66/0.63 For more information, visit http://user.uu.se/~petba168/breu/ % 0.66/0.63 % 0.66/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.68/0.70 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.90/1.04 Prover 0: Preprocessing ... % 2.51/1.25 Prover 0: Warning: ignoring some quantifiers % 2.51/1.28 Prover 0: Constructing countermodel ... % 18.67/5.52 Prover 0: gave up % 18.67/5.52 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 18.67/5.56 Prover 1: Preprocessing ... % 19.11/5.68 Prover 1: Constructing countermodel ... % 19.61/5.72 Prover 1: gave up % 19.61/5.72 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 19.61/5.75 Prover 2: Preprocessing ... % 20.50/5.91 Prover 2: Warning: ignoring some quantifiers % 20.50/5.92 Prover 2: Constructing countermodel ... % 21.47/6.16 Prover 2: proved (442ms) % 21.47/6.17 % 21.47/6.17 No countermodel exists, formula is valid % 21.47/6.17 % SZS status Theorem for theBenchmark % 21.47/6.17 % 21.47/6.17 Generating proof ... Warning: ignoring some quantifiers % 48.42/17.16 found it (size 565) % 48.42/17.16 % 48.42/17.16 % SZS output start Proof for theBenchmark % 48.42/17.17 Assumed formulas after preprocessing and simplification: % 48.42/17.17 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & intersection_point(v0, v2) = v4 & intersection_point(v0, v1) = v3 & apart_point_and_line(v4, v1) = v5 & apart_point_and_line(v3, v2) = 0 & convergent_lines(v2, v1) = 0 & convergent_lines(v0, v2) = 0 & convergent_lines(v0, v1) = 0 & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = 0 | ~ (unorthogonal_lines(v8, v9) = v11) | ~ (apart_point_and_line(v6, v8) = v10) | ~ (distinct_lines(v7, v8) = 0) | ? [v12] : ((v12 = 0 & unorthogonal_lines(v7, v9) = 0) | (v12 = 0 & apart_point_and_line(v6, v7) = 0))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = 0 | ~ (unorthogonal_lines(v8, v9) = v11) | ~ (apart_point_and_line(v6, v7) = v10) | ? [v12] : ((v12 = 0 & unorthogonal_lines(v7, v9) = 0) | (v12 = 0 & apart_point_and_line(v6, v8) = 0) | ( ~ (v12 = 0) & distinct_lines(v7, v8) = v12))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = 0 | ~ (unorthogonal_lines(v7, v9) = v11) | ~ (apart_point_and_line(v6, v8) = v10) | ? [v12] : ((v12 = 0 & unorthogonal_lines(v8, v9) = 0) | (v12 = 0 & apart_point_and_line(v6, v7) = 0) | ( ~ (v12 = 0) & distinct_lines(v7, v8) = v12))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = 0 | ~ (unorthogonal_lines(v7, v9) = v11) | ~ (apart_point_and_line(v6, v7) = v10) | ~ (distinct_lines(v7, v8) = 0) | ? [v12] : ((v12 = 0 & unorthogonal_lines(v8, v9) = 0) | (v12 = 0 & apart_point_and_line(v6, v8) = 0))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = 0 | ~ (apart_point_and_line(v7, v9) = v11) | ~ (apart_point_and_line(v7, v8) = v10) | ~ (distinct_points(v6, v7) = 0) | ? [v12] : ((v12 = 0 & apart_point_and_line(v6, v9) = 0) | (v12 = 0 & apart_point_and_line(v6, v8) = 0) | ( ~ (v12 = 0) & distinct_lines(v8, v9) = v12))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = 0 | ~ (apart_point_and_line(v7, v9) = v11) | ~ (apart_point_and_line(v6, v9) = v10) | ~ (distinct_lines(v8, v9) = 0) | ? [v12] : ((v12 = 0 & apart_point_and_line(v7, v8) = 0) | (v12 = 0 & apart_point_and_line(v6, v8) = 0) | ( ~ (v12 = 0) & distinct_points(v6, v7) = v12))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = 0 | ~ (apart_point_and_line(v7, v9) = v11) | ~ (apart_point_and_line(v6, v8) = v10) | ? [v12] : ((v12 = 0 & apart_point_and_line(v7, v8) = 0) | (v12 = 0 & apart_point_and_line(v6, v9) = 0) | ( ~ (v12 = 0) & distinct_lines(v8, v9) = v12) | ( ~ (v12 = 0) & distinct_points(v6, v7) = v12))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = 0 | ~ (apart_point_and_line(v7, v8) = v11) | ~ (apart_point_and_line(v6, v9) = v10) | ? [v12] : ((v12 = 0 & apart_point_and_line(v7, v9) = 0) | (v12 = 0 & apart_point_and_line(v6, v8) = 0) | ( ~ (v12 = 0) & distinct_lines(v8, v9) = v12) | ( ~ (v12 = 0) & distinct_points(v6, v7) = v12))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = 0 | ~ (apart_point_and_line(v7, v8) = v11) | ~ (apart_point_and_line(v6, v8) = v10) | ~ (distinct_lines(v8, v9) = 0) | ? [v12] : ((v12 = 0 & apart_point_and_line(v7, v9) = 0) | (v12 = 0 & apart_point_and_line(v6, v9) = 0) | ( ~ (v12 = 0) & distinct_points(v6, v7) = v12))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | v10 = 0 | ~ (apart_point_and_line(v6, v9) = v11) | ~ (apart_point_and_line(v6, v8) = v10) | ~ (distinct_points(v6, v7) = 0) | ? [v12] : ((v12 = 0 & apart_point_and_line(v7, v9) = 0) | (v12 = 0 & apart_point_and_line(v7, v8) = 0) | ( ~ (v12 = 0) & distinct_lines(v8, v9) = v12))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v9 = 0 | ~ (unorthogonal_lines(v6, v8) = v10) | ~ (unorthogonal_lines(v6, v7) = v9) | ? [v11] : ( ~ (v11 = 0) & convergent_lines(v7, v8) = v11)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v9 = 0 | ~ (apart_point_and_line(v8, v7) = v10) | ~ (distinct_points(v6, v8) = v9) | ? [v11] : ( ~ (v11 = 0) & apart_point_and_line(v6, v7) = v11)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v9 = 0 | ~ (apart_point_and_line(v6, v8) = v10) | ~ (apart_point_and_line(v6, v7) = v9) | ? [v11] : ((v11 = 0 & convergent_lines(v7, v8) = 0) | ( ~ (v11 = 0) & distinct_lines(v7, v8) = v11))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v9 = 0 | ~ (apart_point_and_line(v6, v8) = v10) | ~ (distinct_lines(v7, v8) = v9) | ? [v11] : ( ~ (v11 = 0) & apart_point_and_line(v6, v7) = v11)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v9 = 0 | ~ (apart_point_and_line(v6, v8) = v9) | ~ (convergent_lines(v7, v8) = v10) | ? [v11] : ((v11 = 0 & apart_point_and_line(v6, v7) = 0) | ( ~ (v11 = 0) & distinct_lines(v7, v8) = v11))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v9 = 0 | ~ (apart_point_and_line(v6, v7) = v9) | ~ (convergent_lines(v7, v8) = v10) | ? [v11] : ((v11 = 0 & apart_point_and_line(v6, v8) = 0) | ( ~ (v11 = 0) & distinct_lines(v7, v8) = v11))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v9 = 0 | ~ (convergent_lines(v7, v8) = v10) | ~ (convergent_lines(v6, v8) = v9) | ? [v11] : ( ~ (v11 = 0) & convergent_lines(v6, v7) = v11)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v9 = 0 | ~ (convergent_lines(v6, v8) = v10) | ~ (distinct_lines(v7, v8) = v9) | ? [v11] : ( ~ (v11 = 0) & convergent_lines(v6, v7) = v11)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v9 = 0 | ~ (distinct_lines(v7, v8) = v10) | ~ (distinct_lines(v6, v8) = v9) | ? [v11] : ( ~ (v11 = 0) & distinct_lines(v6, v7) = v11)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | v9 = 0 | ~ (distinct_points(v7, v8) = v10) | ~ (distinct_points(v6, v8) = v9) | ? [v11] : ( ~ (v11 = 0) & distinct_points(v6, v7) = v11)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (unorthogonal_lines(v7, v8) = v10) | ~ (unorthogonal_lines(v6, v8) = v9) | ? [v11] : ((v11 = 0 & v10 = 0 & convergent_lines(v7, v8) = 0) | (v11 = 0 & v9 = 0 & convergent_lines(v6, v8) = 0) | ( ~ (v11 = 0) & unorthogonal_lines(v6, v7) = v11) | ( ~ (v11 = 0) & convergent_lines(v6, v7) = v11))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (unorthogonal_lines(v7, v8) = v10) | ~ (convergent_lines(v6, v8) = v9) | ? [v11] : ((v11 = 0 & v10 = 0 & convergent_lines(v7, v8) = 0) | (v11 = 0 & v9 = 0 & unorthogonal_lines(v6, v8) = 0) | ( ~ (v11 = 0) & unorthogonal_lines(v6, v7) = v11) | ( ~ (v11 = 0) & convergent_lines(v6, v7) = v11))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (unorthogonal_lines(v6, v8) = v10) | ~ (unorthogonal_lines(v6, v7) = v9) | ? [v11] : ((v11 = 0 & v10 = 0 & convergent_lines(v6, v8) = 0) | (v11 = 0 & v9 = 0 & convergent_lines(v6, v7) = 0) | ( ~ (v11 = 0) & unorthogonal_lines(v7, v8) = v11) | ( ~ (v11 = 0) & convergent_lines(v7, v8) = v11))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (unorthogonal_lines(v6, v8) = v10) | ~ (convergent_lines(v6, v7) = v9) | ? [v11] : ((v11 = 0 & v10 = 0 & convergent_lines(v6, v8) = 0) | (v11 = 0 & v9 = 0 & unorthogonal_lines(v6, v7) = 0) | ( ~ (v11 = 0) & unorthogonal_lines(v7, v8) = v11) | ( ~ (v11 = 0) & convergent_lines(v7, v8) = v11))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (unorthogonal_lines(v6, v8) = v9) | ~ (convergent_lines(v7, v8) = v10) | ? [v11] : ((v11 = 0 & v10 = 0 & unorthogonal_lines(v7, v8) = 0) | (v11 = 0 & v9 = 0 & convergent_lines(v6, v8) = 0) | ( ~ (v11 = 0) & unorthogonal_lines(v6, v7) = v11) | ( ~ (v11 = 0) & convergent_lines(v6, v7) = v11))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (unorthogonal_lines(v6, v7) = v9) | ~ (convergent_lines(v6, v8) = v10) | ? [v11] : ((v11 = 0 & v10 = 0 & unorthogonal_lines(v6, v8) = 0) | (v11 = 0 & v9 = 0 & convergent_lines(v6, v7) = 0) | ( ~ (v11 = 0) & unorthogonal_lines(v7, v8) = v11) | ( ~ (v11 = 0) & convergent_lines(v7, v8) = v11))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (convergent_lines(v7, v8) = v10) | ~ (convergent_lines(v6, v8) = v9) | ? [v11] : ((v11 = 0 & v10 = 0 & unorthogonal_lines(v7, v8) = 0) | (v11 = 0 & v9 = 0 & unorthogonal_lines(v6, v8) = 0) | ( ~ (v11 = 0) & unorthogonal_lines(v6, v7) = v11) | ( ~ (v11 = 0) & convergent_lines(v6, v7) = v11))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (convergent_lines(v6, v8) = v10) | ~ (convergent_lines(v6, v7) = v9) | ? [v11] : ((v11 = 0 & v10 = 0 & unorthogonal_lines(v6, v8) = 0) | (v11 = 0 & v9 = 0 & unorthogonal_lines(v6, v7) = 0) | ( ~ (v11 = 0) & unorthogonal_lines(v7, v8) = v11) | ( ~ (v11 = 0) & convergent_lines(v7, v8) = v11))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (unorthogonal_lines(v6, v8) = v9) | ~ (convergent_lines(v7, v8) = 0) | unorthogonal_lines(v6, v7) = 0) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (unorthogonal_lines(v6, v7) = v9) | ~ (convergent_lines(v7, v8) = 0) | unorthogonal_lines(v6, v8) = 0) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (apart_point_and_line(v8, v7) = v9) | ~ (apart_point_and_line(v6, v7) = 0) | distinct_points(v6, v8) = 0) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (apart_point_and_line(v6, v8) = v9) | ~ (apart_point_and_line(v6, v7) = 0) | distinct_lines(v7, v8) = 0) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (apart_point_and_line(v6, v8) = v9) | ~ (distinct_lines(v7, v8) = 0) | ? [v10] : ((v10 = 0 & apart_point_and_line(v6, v7) = 0) | (v10 = 0 & convergent_lines(v7, v8) = 0))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (apart_point_and_line(v6, v7) = v9) | ~ (distinct_lines(v7, v8) = 0) | ? [v10] : ((v10 = 0 & apart_point_and_line(v6, v8) = 0) | (v10 = 0 & convergent_lines(v7, v8) = 0))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (apart_point_and_line(v6, v7) = 0) | ~ (distinct_lines(v7, v8) = v9) | apart_point_and_line(v6, v8) = 0) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (apart_point_and_line(v6, v7) = 0) | ~ (distinct_points(v6, v8) = v9) | apart_point_and_line(v8, v7) = 0) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (convergent_lines(v7, v8) = v9) | ~ (convergent_lines(v6, v7) = 0) | convergent_lines(v6, v8) = 0) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (convergent_lines(v6, v8) = v9) | ~ (convergent_lines(v6, v7) = 0) | convergent_lines(v7, v8) = 0) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (convergent_lines(v6, v8) = v9) | ~ (convergent_lines(v6, v7) = 0) | distinct_lines(v7, v8) = 0) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (convergent_lines(v6, v7) = 0) | ~ (distinct_lines(v7, v8) = v9) | convergent_lines(v6, v8) = 0) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (distinct_lines(v7, v8) = v9) | ~ (distinct_lines(v6, v7) = 0) | distinct_lines(v6, v8) = 0) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (distinct_lines(v6, v8) = v9) | ~ (distinct_lines(v6, v7) = 0) | distinct_lines(v7, v8) = 0) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (distinct_points(v7, v8) = v9) | ~ (distinct_points(v6, v7) = 0) | distinct_points(v6, v8) = 0) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (distinct_points(v6, v8) = v9) | ~ (distinct_points(v6, v7) = 0) | distinct_points(v7, v8) = 0) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (orthogonal_lines(v9, v8) = v7) | ~ (orthogonal_lines(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (incident_point_and_line(v9, v8) = v7) | ~ (incident_point_and_line(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (parallel_lines(v9, v8) = v7) | ~ (parallel_lines(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (equal_lines(v9, v8) = v7) | ~ (equal_lines(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (equal_points(v9, v8) = v7) | ~ (equal_points(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (orthogonal_through_point(v9, v8) = v7) | ~ (orthogonal_through_point(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (unorthogonal_lines(v9, v8) = v7) | ~ (unorthogonal_lines(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (parallel_through_point(v9, v8) = v7) | ~ (parallel_through_point(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (intersection_point(v9, v8) = v7) | ~ (intersection_point(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (line_connecting(v9, v8) = v7) | ~ (line_connecting(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (apart_point_and_line(v9, v8) = v7) | ~ (apart_point_and_line(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (convergent_lines(v9, v8) = v7) | ~ (convergent_lines(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (distinct_lines(v9, v8) = v7) | ~ (distinct_lines(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (distinct_points(v9, v8) = v7) | ~ (distinct_points(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (unorthogonal_lines(v7, v8) = v9) | ~ (unorthogonal_lines(v6, v7) = 0) | ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & unorthogonal_lines(v6, v8) = 0 & convergent_lines(v6, v8) = 0) | (v10 = 0 & v9 = 0 & convergent_lines(v7, v8) = 0) | ( ~ (v10 = 0) & convergent_lines(v6, v7) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (unorthogonal_lines(v7, v8) = v9) | ~ (convergent_lines(v6, v7) = 0) | ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & unorthogonal_lines(v6, v8) = 0 & convergent_lines(v6, v8) = 0) | (v10 = 0 & v9 = 0 & convergent_lines(v7, v8) = 0) | ( ~ (v10 = 0) & unorthogonal_lines(v6, v7) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (unorthogonal_lines(v7, v8) = 0) | ~ (unorthogonal_lines(v6, v8) = v9) | ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & unorthogonal_lines(v6, v7) = 0 & convergent_lines(v6, v7) = 0) | (v10 = 0 & v9 = 0 & convergent_lines(v6, v8) = 0) | ( ~ (v10 = 0) & convergent_lines(v7, v8) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (unorthogonal_lines(v7, v8) = 0) | ~ (unorthogonal_lines(v6, v7) = v9) | ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & unorthogonal_lines(v6, v8) = 0 & convergent_lines(v6, v8) = 0) | (v10 = 0 & v9 = 0 & convergent_lines(v6, v7) = 0) | ( ~ (v10 = 0) & convergent_lines(v7, v8) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (unorthogonal_lines(v7, v8) = 0) | ~ (convergent_lines(v6, v8) = v9) | ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & unorthogonal_lines(v6, v7) = 0 & convergent_lines(v6, v7) = 0) | (v10 = 0 & v9 = 0 & unorthogonal_lines(v6, v8) = 0) | ( ~ (v10 = 0) & convergent_lines(v7, v8) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (unorthogonal_lines(v7, v8) = 0) | ~ (convergent_lines(v6, v7) = v9) | ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & unorthogonal_lines(v6, v8) = 0 & convergent_lines(v6, v8) = 0) | (v10 = 0 & v9 = 0 & unorthogonal_lines(v6, v7) = 0) | ( ~ (v10 = 0) & convergent_lines(v7, v8) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (unorthogonal_lines(v6, v8) = v9) | ~ (unorthogonal_lines(v6, v7) = 0) | ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & unorthogonal_lines(v7, v8) = 0 & convergent_lines(v7, v8) = 0) | (v10 = 0 & v9 = 0 & convergent_lines(v6, v8) = 0) | ( ~ (v10 = 0) & convergent_lines(v6, v7) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (unorthogonal_lines(v6, v8) = v9) | ~ (convergent_lines(v7, v8) = 0) | ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & unorthogonal_lines(v6, v7) = 0 & convergent_lines(v6, v7) = 0) | (v10 = 0 & v9 = 0 & convergent_lines(v6, v8) = 0) | ( ~ (v10 = 0) & unorthogonal_lines(v7, v8) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (unorthogonal_lines(v6, v8) = v9) | ~ (convergent_lines(v6, v7) = 0) | ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & unorthogonal_lines(v7, v8) = 0 & convergent_lines(v7, v8) = 0) | (v10 = 0 & v9 = 0 & convergent_lines(v6, v8) = 0) | ( ~ (v10 = 0) & unorthogonal_lines(v6, v7) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (unorthogonal_lines(v6, v7) = v9) | ~ (convergent_lines(v7, v8) = 0) | ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & unorthogonal_lines(v6, v8) = 0 & convergent_lines(v6, v8) = 0) | (v10 = 0 & v9 = 0 & convergent_lines(v6, v7) = 0) | ( ~ (v10 = 0) & unorthogonal_lines(v7, v8) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (unorthogonal_lines(v6, v7) = 0) | ~ (convergent_lines(v7, v8) = v9) | ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & unorthogonal_lines(v6, v8) = 0 & convergent_lines(v6, v8) = 0) | (v10 = 0 & v9 = 0 & unorthogonal_lines(v7, v8) = 0) | ( ~ (v10 = 0) & convergent_lines(v6, v7) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (unorthogonal_lines(v6, v7) = 0) | ~ (convergent_lines(v6, v8) = v9) | ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & unorthogonal_lines(v7, v8) = 0 & convergent_lines(v7, v8) = 0) | (v10 = 0 & v9 = 0 & unorthogonal_lines(v6, v8) = 0) | ( ~ (v10 = 0) & convergent_lines(v6, v7) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (convergent_lines(v7, v8) = v9) | ~ (convergent_lines(v6, v7) = 0) | ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & unorthogonal_lines(v6, v8) = 0 & convergent_lines(v6, v8) = 0) | (v10 = 0 & v9 = 0 & unorthogonal_lines(v7, v8) = 0) | ( ~ (v10 = 0) & unorthogonal_lines(v6, v7) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (convergent_lines(v7, v8) = 0) | ~ (convergent_lines(v6, v8) = v9) | ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & unorthogonal_lines(v6, v7) = 0 & convergent_lines(v6, v7) = 0) | (v10 = 0 & v9 = 0 & unorthogonal_lines(v6, v8) = 0) | ( ~ (v10 = 0) & unorthogonal_lines(v7, v8) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (convergent_lines(v7, v8) = 0) | ~ (convergent_lines(v6, v7) = v9) | ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & unorthogonal_lines(v6, v8) = 0 & convergent_lines(v6, v8) = 0) | (v10 = 0 & v9 = 0 & unorthogonal_lines(v6, v7) = 0) | ( ~ (v10 = 0) & unorthogonal_lines(v7, v8) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (convergent_lines(v6, v8) = v9) | ~ (convergent_lines(v6, v7) = 0) | ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & unorthogonal_lines(v7, v8) = 0 & convergent_lines(v7, v8) = 0) | (v10 = 0 & v9 = 0 & unorthogonal_lines(v6, v8) = 0) | ( ~ (v10 = 0) & unorthogonal_lines(v6, v7) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (distinct_lines(v8, v9) = 0) | ~ (distinct_points(v6, v7) = 0) | ? [v10] : ((v10 = 0 & apart_point_and_line(v7, v9) = 0) | (v10 = 0 & apart_point_and_line(v7, v8) = 0) | (v10 = 0 & apart_point_and_line(v6, v9) = 0) | (v10 = 0 & apart_point_and_line(v6, v8) = 0))) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (orthogonal_lines(v6, v7) = v8) | unorthogonal_lines(v6, v7) = 0) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (incident_point_and_line(v6, v7) = v8) | apart_point_and_line(v6, v7) = 0) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (parallel_lines(v6, v7) = v8) | convergent_lines(v6, v7) = 0) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (equal_lines(v6, v7) = v8) | distinct_lines(v6, v7) = 0) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (equal_points(v6, v7) = v8) | distinct_points(v6, v7) = 0) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (unorthogonal_lines(v6, v7) = v8) | orthogonal_lines(v6, v7) = 0) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (unorthogonal_lines(v6, v7) = v8) | convergent_lines(v6, v7) = 0) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (apart_point_and_line(v6, v7) = v8) | incident_point_and_line(v6, v7) = 0) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (convergent_lines(v6, v7) = v8) | parallel_lines(v6, v7) = 0) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (convergent_lines(v6, v7) = v8) | unorthogonal_lines(v6, v7) = 0) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (convergent_lines(v6, v7) = v8) | ? [v9] : ( ~ (v9 = 0) & distinct_lines(v6, v7) = v9)) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (distinct_lines(v6, v7) = v8) | equal_lines(v6, v7) = 0) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (distinct_points(v6, v7) = v8) | equal_points(v6, v7) = 0) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (point(v8) = v7) | ~ (point(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (line(v8) = v7) | ~ (line(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ( ~ (orthogonal_through_point(v7, v6) = v8) | ? [v9] : ( ~ (v9 = 0) & unorthogonal_lines(v8, v7) = v9)) & ! [v6] : ! [v7] : ! [v8] : ( ~ (orthogonal_through_point(v7, v6) = v8) | ? [v9] : ( ~ (v9 = 0) & apart_point_and_line(v6, v8) = v9)) & ! [v6] : ! [v7] : ! [v8] : ( ~ (orthogonal_through_point(v6, v7) = v8) | ? [v9] : ((v9 = 0 & line(v8) = 0) | ( ~ (v9 = 0) & point(v7) = v9) | ( ~ (v9 = 0) & line(v6) = v9))) & ! [v6] : ! [v7] : ! [v8] : ( ~ (parallel_through_point(v7, v6) = v8) | ? [v9] : ( ~ (v9 = 0) & apart_point_and_line(v6, v8) = v9)) & ! [v6] : ! [v7] : ! [v8] : ( ~ (parallel_through_point(v7, v6) = v8) | ? [v9] : ( ~ (v9 = 0) & convergent_lines(v8, v7) = v9)) & ! [v6] : ! [v7] : ! [v8] : ( ~ (parallel_through_point(v6, v7) = v8) | ? [v9] : ((v9 = 0 & line(v8) = 0) | ( ~ (v9 = 0) & point(v7) = v9) | ( ~ (v9 = 0) & line(v6) = v9))) & ! [v6] : ! [v7] : ! [v8] : ( ~ (intersection_point(v6, v7) = v8) | ? [v9] : ((v9 = 0 & point(v8) = 0) | ( ~ (v9 = 0) & line(v7) = v9) | ( ~ (v9 = 0) & line(v6) = v9) | ( ~ (v9 = 0) & convergent_lines(v6, v7) = v9))) & ! [v6] : ! [v7] : ! [v8] : ( ~ (intersection_point(v6, v7) = v8) | ? [v9] : (( ~ (v9 = 0) & apart_point_and_line(v8, v7) = v9) | ( ~ (v9 = 0) & convergent_lines(v6, v7) = v9))) & ! [v6] : ! [v7] : ! [v8] : ( ~ (intersection_point(v6, v7) = v8) | ? [v9] : (( ~ (v9 = 0) & apart_point_and_line(v8, v6) = v9) | ( ~ (v9 = 0) & convergent_lines(v6, v7) = v9))) & ! [v6] : ! [v7] : ! [v8] : ( ~ (line_connecting(v6, v7) = v8) | ? [v9] : ((v9 = 0 & line(v8) = 0) | ( ~ (v9 = 0) & point(v7) = v9) | ( ~ (v9 = 0) & point(v6) = v9) | ( ~ (v9 = 0) & distinct_points(v6, v7) = v9))) & ! [v6] : ! [v7] : ! [v8] : ( ~ (line_connecting(v6, v7) = v8) | ? [v9] : (( ~ (v9 = 0) & apart_point_and_line(v7, v8) = v9) | ( ~ (v9 = 0) & distinct_points(v6, v7) = v9))) & ! [v6] : ! [v7] : ! [v8] : ( ~ (line_connecting(v6, v7) = v8) | ? [v9] : (( ~ (v9 = 0) & apart_point_and_line(v6, v8) = v9) | ( ~ (v9 = 0) & distinct_points(v6, v7) = v9))) & ! [v6] : ! [v7] : ( ~ (orthogonal_lines(v6, v7) = 0) | ? [v8] : ( ~ (v8 = 0) & unorthogonal_lines(v6, v7) = v8)) & ! [v6] : ! [v7] : ( ~ (incident_point_and_line(v6, v7) = 0) | ? [v8] : ( ~ (v8 = 0) & apart_point_and_line(v6, v7) = v8)) & ! [v6] : ! [v7] : ( ~ (parallel_lines(v6, v7) = 0) | ? [v8] : ( ~ (v8 = 0) & convergent_lines(v6, v7) = v8)) & ! [v6] : ! [v7] : ( ~ (equal_lines(v6, v7) = 0) | ? [v8] : ( ~ (v8 = 0) & distinct_lines(v6, v7) = v8)) & ! [v6] : ! [v7] : ( ~ (equal_points(v6, v7) = 0) | ? [v8] : ( ~ (v8 = 0) & distinct_points(v6, v7) = v8)) & ! [v6] : ! [v7] : ( ~ (unorthogonal_lines(v6, v7) = 0) | ? [v8] : ( ~ (v8 = 0) & orthogonal_lines(v6, v7) = v8)) & ! [v6] : ! [v7] : ( ~ (apart_point_and_line(v6, v7) = 0) | ? [v8] : ( ~ (v8 = 0) & incident_point_and_line(v6, v7) = v8)) & ! [v6] : ! [v7] : ( ~ (convergent_lines(v6, v7) = 0) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & intersection_point(v6, v7) = v8 & apart_point_and_line(v8, v7) = v9)) & ! [v6] : ! [v7] : ( ~ (convergent_lines(v6, v7) = 0) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & intersection_point(v6, v7) = v8 & apart_point_and_line(v8, v6) = v9)) & ! [v6] : ! [v7] : ( ~ (convergent_lines(v6, v7) = 0) | ? [v8] : ? [v9] : ((v9 = 0 & point(v8) = 0 & intersection_point(v6, v7) = v8) | ( ~ (v8 = 0) & line(v7) = v8) | ( ~ (v8 = 0) & line(v6) = v8))) & ! [v6] : ! [v7] : ( ~ (convergent_lines(v6, v7) = 0) | ? [v8] : ( ~ (v8 = 0) & parallel_lines(v6, v7) = v8)) & ! [v6] : ! [v7] : ( ~ (distinct_lines(v6, v7) = 0) | convergent_lines(v6, v7) = 0) & ! [v6] : ! [v7] : ( ~ (distinct_lines(v6, v7) = 0) | ? [v8] : ( ~ (v8 = 0) & equal_lines(v6, v7) = v8)) & ! [v6] : ! [v7] : ( ~ (distinct_points(v6, v7) = 0) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & line_connecting(v6, v7) = v8 & apart_point_and_line(v7, v8) = v9)) & ! [v6] : ! [v7] : ( ~ (distinct_points(v6, v7) = 0) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & line_connecting(v6, v7) = v8 & apart_point_and_line(v6, v8) = v9)) & ! [v6] : ! [v7] : ( ~ (distinct_points(v6, v7) = 0) | ? [v8] : ? [v9] : ((v9 = 0 & line(v8) = 0 & line_connecting(v6, v7) = v8) | ( ~ (v8 = 0) & point(v7) = v8) | ( ~ (v8 = 0) & point(v6) = v8))) & ! [v6] : ! [v7] : ( ~ (distinct_points(v6, v7) = 0) | ? [v8] : ( ~ (v8 = 0) & equal_points(v6, v7) = v8)) & ! [v6] : ~ (convergent_lines(v6, v6) = 0) & ! [v6] : ~ (distinct_lines(v6, v6) = 0) & ! [v6] : ~ (distinct_points(v6, v6) = 0) & ? [v6] : ? [v7] : ? [v8] : orthogonal_lines(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : incident_point_and_line(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : parallel_lines(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : equal_lines(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : equal_points(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : orthogonal_through_point(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : unorthogonal_lines(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : parallel_through_point(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : intersection_point(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : line_connecting(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : apart_point_and_line(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : convergent_lines(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : distinct_lines(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : distinct_points(v7, v6) = v8 & ? [v6] : ? [v7] : point(v6) = v7 & ? [v6] : ? [v7] : line(v6) = v7) % 48.81/17.24 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5 yields: % 48.81/17.24 | (1) ~ (all_0_0_0 = 0) & intersection_point(all_0_5_5, all_0_3_3) = all_0_1_1 & intersection_point(all_0_5_5, all_0_4_4) = all_0_2_2 & apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0 & convergent_lines(all_0_3_3, all_0_4_4) = 0 & convergent_lines(all_0_5_5, all_0_3_3) = 0 & convergent_lines(all_0_5_5, all_0_4_4) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v2, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_lines(v1, v2) = 0) | ? [v6] : ((v6 = 0 & unorthogonal_lines(v1, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v1) = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v2, v3) = v5) | ~ (apart_point_and_line(v0, v1) = v4) | ? [v6] : ((v6 = 0 & unorthogonal_lines(v1, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v2) = 0) | ( ~ (v6 = 0) & distinct_lines(v1, v2) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v1, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4) | ? [v6] : ((v6 = 0 & unorthogonal_lines(v2, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v1) = 0) | ( ~ (v6 = 0) & distinct_lines(v1, v2) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v1, v3) = v5) | ~ (apart_point_and_line(v0, v1) = v4) | ~ (distinct_lines(v1, v2) = 0) | ? [v6] : ((v6 = 0 & unorthogonal_lines(v2, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v2) = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) | ~ (apart_point_and_line(v1, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ? [v6] : ((v6 = 0 & apart_point_and_line(v0, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v2) = 0) | ( ~ (v6 = 0) & distinct_lines(v2, v3) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ (distinct_lines(v2, v3) = 0) | ? [v6] : ((v6 = 0 & apart_point_and_line(v1, v2) = 0) | (v6 = 0 & apart_point_and_line(v0, v2) = 0) | ( ~ (v6 = 0) & distinct_points(v0, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4) | ? [v6] : ((v6 = 0 & apart_point_and_line(v1, v2) = 0) | (v6 = 0 & apart_point_and_line(v0, v3) = 0) | ( ~ (v6 = 0) & distinct_lines(v2, v3) = v6) | ( ~ (v6 = 0) & distinct_points(v0, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = v5) | ~ (apart_point_and_line(v0, v3) = v4) | ? [v6] : ((v6 = 0 & apart_point_and_line(v1, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v2) = 0) | ( ~ (v6 = 0) & distinct_lines(v2, v3) = v6) | ( ~ (v6 = 0) & distinct_points(v0, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = v5) | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_lines(v2, v3) = 0) | ? [v6] : ((v6 = 0 & apart_point_and_line(v1, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v3) = 0) | ( ~ (v6 = 0) & distinct_points(v0, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v0, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ? [v6] : ((v6 = 0 & apart_point_and_line(v1, v3) = 0) | (v6 = 0 & apart_point_and_line(v1, v2) = 0) | ( ~ (v6 = 0) & distinct_lines(v2, v3) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (unorthogonal_lines(v0, v2) = v4) | ~ (unorthogonal_lines(v0, v1) = v3) | ? [v5] : ( ~ (v5 = 0) & convergent_lines(v1, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v2, v1) = v4) | ~ (distinct_points(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & apart_point_and_line(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~ (apart_point_and_line(v0, v1) = v3) | ? [v5] : ((v5 = 0 & convergent_lines(v1, v2) = 0) | ( ~ (v5 = 0) & distinct_lines(v1, v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_lines(v1, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & apart_point_and_line(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = v4) | ? [v5] : ((v5 = 0 & apart_point_and_line(v0, v1) = 0) | ( ~ (v5 = 0) & distinct_lines(v1, v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v1) = v3) | ~ (convergent_lines(v1, v2) = v4) | ? [v5] : ((v5 = 0 & apart_point_and_line(v0, v2) = 0) | ( ~ (v5 = 0) & distinct_lines(v1, v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (convergent_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (convergent_lines(v0, v2) = v4) | ~ (distinct_lines(v1, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (distinct_lines(v1, v2) = v4) | ~ (distinct_lines(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & distinct_lines(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (distinct_points(v1, v2) = v4) | ~ (distinct_points(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & distinct_points(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~ (unorthogonal_lines(v0, v2) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & convergent_lines(v1, v2) = 0) | (v5 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v0, v1) = v5) | ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & convergent_lines(v1, v2) = 0) | (v5 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v0, v1) = v5) | ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v0, v2) = v4) | ~ (unorthogonal_lines(v0, v1) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & convergent_lines(v0, v2) = 0) | (v5 = 0 & v3 = 0 & convergent_lines(v0, v1) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v1, v2) = v5) | ( ~ (v5 = 0) & convergent_lines(v1, v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v0, v2) = v4) | ~ (convergent_lines(v0, v1) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & convergent_lines(v0, v2) = 0) | (v5 = 0 & v3 = 0 & unorthogonal_lines(v0, v1) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v1, v2) = v5) | ( ~ (v5 = 0) & convergent_lines(v1, v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = v4) | ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0) | (v5 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v0, v1) = v5) | ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v0, v1) = v3) | ~ (convergent_lines(v0, v2) = v4) | ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0) | (v5 = 0 & v3 = 0 & convergent_lines(v0, v1) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v1, v2) = v5) | ( ~ (v5 = 0) & convergent_lines(v1, v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (convergent_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0) | (v5 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v0, v1) = v5) | ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (convergent_lines(v0, v2) = v4) | ~ (convergent_lines(v0, v1) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0) | (v5 = 0 & v3 = 0 & unorthogonal_lines(v0, v1) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v1, v2) = v5) | ( ~ (v5 = 0) & convergent_lines(v1, v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = 0) | unorthogonal_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unorthogonal_lines(v0, v1) = v3) | ~ (convergent_lines(v1, v2) = 0) | unorthogonal_lines(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (apart_point_and_line(v2, v1) = v3) | ~ (apart_point_and_line(v0, v1) = 0) | distinct_points(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (apart_point_and_line(v0, v2) = v3) | ~ (apart_point_and_line(v0, v1) = 0) | distinct_lines(v1, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (apart_point_and_line(v0, v2) = v3) | ~ (distinct_lines(v1, v2) = 0) | ? [v4] : ((v4 = 0 & apart_point_and_line(v0, v1) = 0) | (v4 = 0 & convergent_lines(v1, v2) = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (apart_point_and_line(v0, v1) = v3) | ~ (distinct_lines(v1, v2) = 0) | ? [v4] : ((v4 = 0 & apart_point_and_line(v0, v2) = 0) | (v4 = 0 & convergent_lines(v1, v2) = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (apart_point_and_line(v0, v1) = 0) | ~ (distinct_lines(v1, v2) = v3) | apart_point_and_line(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (apart_point_and_line(v0, v1) = 0) | ~ (distinct_points(v0, v2) = v3) | apart_point_and_line(v2, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (convergent_lines(v1, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | convergent_lines(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | convergent_lines(v1, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | distinct_lines(v1, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (convergent_lines(v0, v1) = 0) | ~ (distinct_lines(v1, v2) = v3) | convergent_lines(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v1, v2) = v3) | ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v0, v2) = v3) | ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v1, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v1, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | distinct_points(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v0, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | distinct_points(v1, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (orthogonal_lines(v3, v2) = v1) | ~ (orthogonal_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (incident_point_and_line(v3, v2) = v1) | ~ (incident_point_and_line(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (parallel_lines(v3, v2) = v1) | ~ (parallel_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_lines(v3, v2) = v1) | ~ (equal_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_points(v3, v2) = v1) | ~ (equal_points(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (orthogonal_through_point(v3, v2) = v1) | ~ (orthogonal_through_point(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unorthogonal_lines(v3, v2) = v1) | ~ (unorthogonal_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~ (parallel_through_point(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ (apart_point_and_line(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ (convergent_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = v3) | ~ (unorthogonal_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v1, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v0, v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v1, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v0, v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~ (unorthogonal_lines(v0, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v1) = 0 & convergent_lines(v0, v1) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~ (unorthogonal_lines(v0, v1) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v1) = 0) | ( ~ (v4 = 0) & convergent_lines(v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~ (convergent_lines(v0, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v1) = 0 & convergent_lines(v0, v1) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~ (convergent_lines(v0, v1) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v1) = 0) | ( ~ (v4 = 0) & convergent_lines(v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v2) = v3) | ~ (unorthogonal_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0 & convergent_lines(v1, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v0, v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v1) = 0 & convergent_lines(v0, v1) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0 & convergent_lines(v1, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v0, v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v1) = v3) | ~ (convergent_lines(v1, v2) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v1) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ~ (convergent_lines(v1, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v1, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v0, v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ~ (convergent_lines(v0, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0 & convergent_lines(v1, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v0, v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (convergent_lines(v1, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v1, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v0, v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (convergent_lines(v1, v2) = 0) | ~ (convergent_lines(v0, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v1) = 0 & convergent_lines(v0, v1) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (convergent_lines(v1, v2) = 0) | ~ (convergent_lines(v0, v1) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v1) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0 & convergent_lines(v1, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v0, v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ? [v4] : ((v4 = 0 & apart_point_and_line(v1, v3) = 0) | (v4 = 0 & apart_point_and_line(v1, v2) = 0) | (v4 = 0 & apart_point_and_line(v0, v3) = 0) | (v4 = 0 & apart_point_and_line(v0, v2) = 0))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (orthogonal_lines(v0, v1) = v2) | unorthogonal_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (incident_point_and_line(v0, v1) = v2) | apart_point_and_line(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (parallel_lines(v0, v1) = v2) | convergent_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_lines(v0, v1) = v2) | distinct_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_points(v0, v1) = v2) | distinct_points(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unorthogonal_lines(v0, v1) = v2) | orthogonal_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unorthogonal_lines(v0, v1) = v2) | convergent_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (apart_point_and_line(v0, v1) = v2) | incident_point_and_line(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | parallel_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | unorthogonal_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & distinct_lines(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (distinct_lines(v0, v1) = v2) | equal_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (distinct_points(v0, v1) = v2) | equal_points(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (point(v2) = v1) | ~ (point(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (line(v2) = v1) | ~ (line(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (orthogonal_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & unorthogonal_lines(v2, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (orthogonal_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & apart_point_and_line(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (orthogonal_through_point(v0, v1) = v2) | ? [v3] : ((v3 = 0 & line(v2) = 0) | ( ~ (v3 = 0) & point(v1) = v3) | ( ~ (v3 = 0) & line(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & apart_point_and_line(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & convergent_lines(v2, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v0, v1) = v2) | ? [v3] : ((v3 = 0 & line(v2) = 0) | ( ~ (v3 = 0) & point(v1) = v3) | ( ~ (v3 = 0) & line(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection_point(v0, v1) = v2) | ? [v3] : ((v3 = 0 & point(v2) = 0) | ( ~ (v3 = 0) & line(v1) = v3) | ( ~ (v3 = 0) & line(v0) = v3) | ( ~ (v3 = 0) & convergent_lines(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection_point(v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & apart_point_and_line(v2, v1) = v3) | ( ~ (v3 = 0) & convergent_lines(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection_point(v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & apart_point_and_line(v2, v0) = v3) | ( ~ (v3 = 0) & convergent_lines(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v0, v1) = v2) | ? [v3] : ((v3 = 0 & line(v2) = 0) | ( ~ (v3 = 0) & point(v1) = v3) | ( ~ (v3 = 0) & point(v0) = v3) | ( ~ (v3 = 0) & distinct_points(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & apart_point_and_line(v1, v2) = v3) | ( ~ (v3 = 0) & distinct_points(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & apart_point_and_line(v0, v2) = v3) | ( ~ (v3 = 0) & distinct_points(v0, v1) = v3))) & ! [v0] : ! [v1] : ( ~ (orthogonal_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & unorthogonal_lines(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (incident_point_and_line(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & apart_point_and_line(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (parallel_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & convergent_lines(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (equal_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & distinct_lines(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (equal_points(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & distinct_points(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & orthogonal_lines(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (apart_point_and_line(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & incident_point_and_line(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v1) = v3)) & ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v0) = v3)) & ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ((v3 = 0 & point(v2) = 0 & intersection_point(v0, v1) = v2) | ( ~ (v2 = 0) & line(v1) = v2) | ( ~ (v2 = 0) & line(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & parallel_lines(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (distinct_lines(v0, v1) = 0) | convergent_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (distinct_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equal_lines(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 & apart_point_and_line(v1, v2) = v3)) & ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 & apart_point_and_line(v0, v2) = v3)) & ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ? [v3] : ((v3 = 0 & line(v2) = 0 & line_connecting(v0, v1) = v2) | ( ~ (v2 = 0) & point(v1) = v2) | ( ~ (v2 = 0) & point(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equal_points(v0, v1) = v2)) & ! [v0] : ~ (convergent_lines(v0, v0) = 0) & ! [v0] : ~ (distinct_lines(v0, v0) = 0) & ! [v0] : ~ (distinct_points(v0, v0) = 0) & ? [v0] : ? [v1] : ? [v2] : orthogonal_lines(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : incident_point_and_line(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : parallel_lines(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : equal_lines(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : equal_points(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : orthogonal_through_point(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : unorthogonal_lines(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : parallel_through_point(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : intersection_point(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : line_connecting(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : apart_point_and_line(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : convergent_lines(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : distinct_lines(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : distinct_points(v1, v0) = v2 & ? [v0] : ? [v1] : point(v0) = v1 & ? [v0] : ? [v1] : line(v0) = v1 % 48.81/17.28 | % 48.81/17.28 | Applying alpha-rule on (1) yields: % 48.81/17.28 | (2) ? [v0] : ? [v1] : ? [v2] : parallel_through_point(v1, v0) = v2 % 48.81/17.28 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~ (unorthogonal_lines(v0, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v1) = 0 & convergent_lines(v0, v1) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v1, v2) = v4))) % 48.81/17.28 | (4) intersection_point(all_0_5_5, all_0_3_3) = all_0_1_1 % 48.81/17.28 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ~ (convergent_lines(v1, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v1, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v0, v1) = v4))) % 48.81/17.28 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0 & convergent_lines(v1, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v0, v1) = v4))) % 48.81/17.28 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v2) = v3) | ~ (unorthogonal_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0 & convergent_lines(v1, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v0, v1) = v4))) % 48.81/17.28 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = v5) | ~ (apart_point_and_line(v0, v3) = v4) | ? [v6] : ((v6 = 0 & apart_point_and_line(v1, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v2) = 0) | ( ~ (v6 = 0) & distinct_lines(v2, v3) = v6) | ( ~ (v6 = 0) & distinct_points(v0, v1) = v6))) % 48.81/17.28 | (9) ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & convergent_lines(v2, v1) = v3)) % 48.81/17.28 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v0, v2) = v3) | ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v1, v2) = 0) % 48.81/17.28 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v1) = v3) | ~ (convergent_lines(v1, v2) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v1) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v1, v2) = v4))) % 48.81/17.28 | (12) ! [v0] : ! [v1] : ( ~ (distinct_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equal_lines(v0, v1) = v2)) % 48.81/17.28 | (13) ! [v0] : ! [v1] : ( ~ (equal_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & distinct_lines(v0, v1) = v2)) % 48.81/17.28 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & convergent_lines(v1, v2) = 0) | (v5 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v0, v1) = v5) | ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5))) % 48.81/17.28 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (convergent_lines(v0, v1) = 0) | ~ (distinct_lines(v1, v2) = v3) | convergent_lines(v0, v2) = 0) % 48.81/17.28 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v1, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | distinct_points(v0, v2) = 0) % 48.81/17.28 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | convergent_lines(v1, v2) = 0) % 48.81/17.28 | (18) ~ (all_0_0_0 = 0) % 48.81/17.28 | (19) ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v0) = v3)) % 48.81/17.28 | (20) ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection_point(v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & apart_point_and_line(v2, v0) = v3) | ( ~ (v3 = 0) & convergent_lines(v0, v1) = v3))) % 48.81/17.28 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ? [v4] : ((v4 = 0 & apart_point_and_line(v1, v3) = 0) | (v4 = 0 & apart_point_and_line(v1, v2) = 0) | (v4 = 0 & apart_point_and_line(v0, v3) = 0) | (v4 = 0 & apart_point_and_line(v0, v2) = 0))) % 48.81/17.28 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (convergent_lines(v1, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v1, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v0, v1) = v4))) % 48.81/17.28 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v2, v3) = v5) | ~ (apart_point_and_line(v0, v1) = v4) | ? [v6] : ((v6 = 0 & unorthogonal_lines(v1, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v2) = 0) | ( ~ (v6 = 0) & distinct_lines(v1, v2) = v6))) % 48.81/17.28 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (parallel_lines(v3, v2) = v1) | ~ (parallel_lines(v3, v2) = v0)) % 48.81/17.28 | (25) ? [v0] : ? [v1] : ? [v2] : apart_point_and_line(v1, v0) = v2 % 48.81/17.28 | (26) ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ? [v3] : ((v3 = 0 & line(v2) = 0 & line_connecting(v0, v1) = v2) | ( ~ (v2 = 0) & point(v1) = v2) | ( ~ (v2 = 0) & point(v0) = v2))) % 48.81/17.28 | (27) ! [v0] : ! [v1] : ! [v2] : ( ~ (orthogonal_through_point(v0, v1) = v2) | ? [v3] : ((v3 = 0 & line(v2) = 0) | ( ~ (v3 = 0) & point(v1) = v3) | ( ~ (v3 = 0) & line(v0) = v3))) % 48.81/17.29 | (28) ? [v0] : ? [v1] : ? [v2] : distinct_points(v1, v0) = v2 % 48.81/17.29 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v0, v2) = v4) | ~ (unorthogonal_lines(v0, v1) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & convergent_lines(v0, v2) = 0) | (v5 = 0 & v3 = 0 & convergent_lines(v0, v1) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v1, v2) = v5) | ( ~ (v5 = 0) & convergent_lines(v1, v2) = v5))) % 48.81/17.29 | (30) ! [v0] : ! [v1] : ( ~ (apart_point_and_line(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & incident_point_and_line(v0, v1) = v2)) % 48.81/17.29 | (31) ! [v0] : ! [v1] : ( ~ (incident_point_and_line(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & apart_point_and_line(v0, v1) = v2)) % 48.81/17.29 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_lines(v1, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & apart_point_and_line(v0, v1) = v5)) % 48.81/17.29 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v0, v1) = v3) | ~ (convergent_lines(v0, v2) = v4) | ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0) | (v5 = 0 & v3 = 0 & convergent_lines(v0, v1) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v1, v2) = v5) | ( ~ (v5 = 0) & convergent_lines(v1, v2) = v5))) % 48.81/17.29 | (34) ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v0, v1) = v2) | ? [v3] : ((v3 = 0 & line(v2) = 0) | ( ~ (v3 = 0) & point(v1) = v3) | ( ~ (v3 = 0) & line(v0) = v3))) % 49.23/17.29 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unorthogonal_lines(v0, v1) = v3) | ~ (convergent_lines(v1, v2) = 0) | unorthogonal_lines(v0, v2) = 0) % 49.23/17.29 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_points(v3, v2) = v1) | ~ (equal_points(v3, v2) = v0)) % 49.23/17.29 | (37) ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & apart_point_and_line(v1, v2) = v3) | ( ~ (v3 = 0) & distinct_points(v0, v1) = v3))) % 49.23/17.29 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (apart_point_and_line(v0, v2) = v3) | ~ (distinct_lines(v1, v2) = 0) | ? [v4] : ((v4 = 0 & apart_point_and_line(v0, v1) = 0) | (v4 = 0 & convergent_lines(v1, v2) = 0))) % 49.23/17.29 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (distinct_lines(v1, v2) = v4) | ~ (distinct_lines(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & distinct_lines(v0, v1) = v5)) % 49.23/17.29 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (apart_point_and_line(v0, v1) = v3) | ~ (distinct_lines(v1, v2) = 0) | ? [v4] : ((v4 = 0 & apart_point_and_line(v0, v2) = 0) | (v4 = 0 & convergent_lines(v1, v2) = 0))) % 49.23/17.29 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v1) = v3) | ~ (convergent_lines(v1, v2) = v4) | ? [v5] : ((v5 = 0 & apart_point_and_line(v0, v2) = 0) | ( ~ (v5 = 0) & distinct_lines(v1, v2) = v5))) % 49.23/17.29 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | distinct_lines(v1, v2) = 0) % 49.23/17.29 | (43) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | unorthogonal_lines(v0, v1) = 0) % 49.23/17.29 | (44) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unorthogonal_lines(v0, v1) = v2) | convergent_lines(v0, v1) = 0) % 49.23/17.29 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~ (unorthogonal_lines(v0, v1) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v1) = 0) | ( ~ (v4 = 0) & convergent_lines(v1, v2) = v4))) % 49.23/17.29 | (46) ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection_point(v0, v1) = v2) | ? [v3] : ((v3 = 0 & point(v2) = 0) | ( ~ (v3 = 0) & line(v1) = v3) | ( ~ (v3 = 0) & line(v0) = v3) | ( ~ (v3 = 0) & convergent_lines(v0, v1) = v3))) % 49.23/17.29 | (47) ! [v0] : ! [v1] : ! [v2] : ( ~ (orthogonal_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & unorthogonal_lines(v2, v1) = v3)) % 49.23/17.29 | (48) ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v1) = v3)) % 49.23/17.29 | (49) ? [v0] : ? [v1] : ? [v2] : parallel_lines(v1, v0) = v2 % 49.23/17.29 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (orthogonal_through_point(v3, v2) = v1) | ~ (orthogonal_through_point(v3, v2) = v0)) % 49.23/17.29 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unorthogonal_lines(v3, v2) = v1) | ~ (unorthogonal_lines(v3, v2) = v0)) % 49.23/17.29 | (52) ! [v0] : ~ (distinct_points(v0, v0) = 0) % 49.23/17.29 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~ (convergent_lines(v0, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v1) = 0 & convergent_lines(v0, v1) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v1, v2) = v4))) % 49.23/17.29 | (54) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (line(v2) = v1) | ~ (line(v2) = v0)) % 49.23/17.29 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (convergent_lines(v0, v2) = v4) | ~ (distinct_lines(v1, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5)) % 49.23/17.29 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) = v0)) % 49.23/17.29 | (57) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & distinct_lines(v0, v1) = v3)) % 49.23/17.29 | (58) ? [v0] : ? [v1] : ? [v2] : equal_points(v1, v0) = v2 % 49.23/17.29 | (59) convergent_lines(all_0_5_5, all_0_4_4) = 0 % 49.23/17.29 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (apart_point_and_line(v2, v1) = v3) | ~ (apart_point_and_line(v0, v1) = 0) | distinct_points(v0, v2) = 0) % 49.23/17.29 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v1, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4) | ? [v6] : ((v6 = 0 & unorthogonal_lines(v2, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v1) = 0) | ( ~ (v6 = 0) & distinct_lines(v1, v2) = v6))) % 49.23/17.29 | (62) ? [v0] : ? [v1] : point(v0) = v1 % 49.23/17.29 | (63) ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equal_points(v0, v1) = v2)) % 49.23/17.29 | (64) ! [v0] : ! [v1] : ( ~ (equal_points(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & distinct_points(v0, v1) = v2)) % 49.23/17.29 | (65) ! [v0] : ! [v1] : ( ~ (distinct_lines(v0, v1) = 0) | convergent_lines(v0, v1) = 0) % 49.23/17.29 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v1, v3) = v5) | ~ (apart_point_and_line(v0, v1) = v4) | ~ (distinct_lines(v1, v2) = 0) | ? [v6] : ((v6 = 0 & unorthogonal_lines(v2, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v2) = 0))) % 49.23/17.29 | (67) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (point(v2) = v1) | ~ (point(v2) = v0)) % 49.23/17.29 | (68) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | parallel_lines(v0, v1) = 0) % 49.23/17.29 | (69) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (parallel_lines(v0, v1) = v2) | convergent_lines(v0, v1) = 0) % 49.23/17.29 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0)) % 49.23/17.29 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4) | ? [v6] : ((v6 = 0 & apart_point_and_line(v1, v2) = 0) | (v6 = 0 & apart_point_and_line(v0, v3) = 0) | ( ~ (v6 = 0) & distinct_lines(v2, v3) = v6) | ( ~ (v6 = 0) & distinct_points(v0, v1) = v6))) % 49.23/17.30 | (72) ? [v0] : ? [v1] : ? [v2] : equal_lines(v1, v0) = v2 % 49.23/17.30 | (73) ? [v0] : ? [v1] : ? [v2] : unorthogonal_lines(v1, v0) = v2 % 49.23/17.30 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v0, v2) = v4) | ~ (convergent_lines(v0, v1) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & convergent_lines(v0, v2) = 0) | (v5 = 0 & v3 = 0 & unorthogonal_lines(v0, v1) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v1, v2) = v5) | ( ~ (v5 = 0) & convergent_lines(v1, v2) = v5))) % 49.23/17.30 | (75) ? [v0] : ? [v1] : ? [v2] : orthogonal_lines(v1, v0) = v2 % 49.23/17.30 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (convergent_lines(v0, v2) = v4) | ~ (convergent_lines(v0, v1) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0) | (v5 = 0 & v3 = 0 & unorthogonal_lines(v0, v1) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v1, v2) = v5) | ( ~ (v5 = 0) & convergent_lines(v1, v2) = v5))) % 49.23/17.30 | (77) ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ((v3 = 0 & point(v2) = 0 & intersection_point(v0, v1) = v2) | ( ~ (v2 = 0) & line(v1) = v2) | ( ~ (v2 = 0) & line(v0) = v2))) % 49.23/17.30 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v1, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v0, v1) = v4))) % 49.23/17.30 | (79) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = v3) | ~ (unorthogonal_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v1, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v0, v1) = v4))) % 49.23/17.30 | (80) convergent_lines(all_0_3_3, all_0_4_4) = 0 % 49.23/17.30 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = v4) | ? [v5] : ((v5 = 0 & apart_point_and_line(v0, v1) = 0) | ( ~ (v5 = 0) & distinct_lines(v1, v2) = v5))) % 49.23/17.30 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_lines(v3, v2) = v1) | ~ (equal_lines(v3, v2) = v0)) % 49.23/17.30 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0 & convergent_lines(v1, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v0, v1) = v4))) % 49.23/17.30 | (84) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (distinct_points(v0, v1) = v2) | equal_points(v0, v1) = 0) % 49.23/17.30 | (85) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_points(v0, v1) = v2) | distinct_points(v0, v1) = 0) % 49.23/17.30 | (86) ? [v0] : ? [v1] : line(v0) = v1 % 49.23/17.30 | (87) ! [v0] : ~ (convergent_lines(v0, v0) = 0) % 49.23/17.30 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v0, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ? [v6] : ((v6 = 0 & apart_point_and_line(v1, v3) = 0) | (v6 = 0 & apart_point_and_line(v1, v2) = 0) | ( ~ (v6 = 0) & distinct_lines(v2, v3) = v6))) % 49.23/17.30 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (convergent_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0) | (v5 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v0, v1) = v5) | ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5))) % 49.23/17.30 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (convergent_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5)) % 49.23/17.30 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (apart_point_and_line(v0, v1) = 0) | ~ (distinct_lines(v1, v2) = v3) | apart_point_and_line(v0, v2) = 0) % 49.23/17.30 | (92) ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v0, v1) = v2) | ? [v3] : ((v3 = 0 & line(v2) = 0) | ( ~ (v3 = 0) & point(v1) = v3) | ( ~ (v3 = 0) & point(v0) = v3) | ( ~ (v3 = 0) & distinct_points(v0, v1) = v3))) % 49.23/17.30 | (93) ? [v0] : ? [v1] : ? [v2] : convergent_lines(v1, v0) = v2 % 49.23/17.30 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = v4) | ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0) | (v5 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v0, v1) = v5) | ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5))) % 49.23/17.30 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (distinct_points(v1, v2) = v4) | ~ (distinct_points(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & distinct_points(v0, v1) = v5)) % 49.23/17.30 | (96) ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & apart_point_and_line(v0, v2) = v3) | ( ~ (v3 = 0) & distinct_points(v0, v1) = v3))) % 49.23/17.30 | (97) ! [v0] : ! [v1] : ! [v2] : ( ~ (orthogonal_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & apart_point_and_line(v0, v2) = v3)) % 49.23/17.30 | (98) ? [v0] : ? [v1] : ? [v2] : intersection_point(v1, v0) = v2 % 49.23/17.30 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (orthogonal_lines(v3, v2) = v1) | ~ (orthogonal_lines(v3, v2) = v0)) % 49.23/17.30 | (100) ? [v0] : ? [v1] : ? [v2] : distinct_lines(v1, v0) = v2 % 49.23/17.30 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v1) = 0 & convergent_lines(v0, v1) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v1, v2) = v4))) % 49.23/17.30 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (convergent_lines(v1, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | convergent_lines(v0, v2) = 0) % 49.23/17.30 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ~ (convergent_lines(v0, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0 & convergent_lines(v1, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v0, v1) = v4))) % 49.23/17.30 | (104) ? [v0] : ? [v1] : ? [v2] : incident_point_and_line(v1, v0) = v2 % 49.23/17.30 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ (distinct_lines(v2, v3) = 0) | ? [v6] : ((v6 = 0 & apart_point_and_line(v1, v2) = 0) | (v6 = 0 & apart_point_and_line(v0, v2) = 0) | ( ~ (v6 = 0) & distinct_points(v0, v1) = v6))) % 49.23/17.30 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v1, v2) = v3) | ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v0, v2) = 0) % 49.23/17.30 | (107) ? [v0] : ? [v1] : ? [v2] : orthogonal_through_point(v1, v0) = v2 % 49.23/17.30 | (108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) | ~ (apart_point_and_line(v1, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ? [v6] : ((v6 = 0 & apart_point_and_line(v0, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v2) = 0) | ( ~ (v6 = 0) & distinct_lines(v2, v3) = v6))) % 49.23/17.30 | (109) apart_point_and_line(all_0_2_2, all_0_3_3) = 0 % 49.23/17.30 | (110) apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0 % 49.23/17.30 | (111) intersection_point(all_0_5_5, all_0_4_4) = all_0_2_2 % 49.23/17.30 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (unorthogonal_lines(v0, v2) = v4) | ~ (unorthogonal_lines(v0, v1) = v3) | ? [v5] : ( ~ (v5 = 0) & convergent_lines(v1, v2) = v5)) % 49.23/17.30 | (113) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = 0) | unorthogonal_lines(v0, v1) = 0) % 49.23/17.30 | (114) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (distinct_lines(v0, v1) = v2) | equal_lines(v0, v1) = 0) % 49.23/17.30 | (115) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_lines(v0, v1) = v2) | distinct_lines(v0, v1) = 0) % 49.23/17.30 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~ (convergent_lines(v0, v1) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v1) = 0) | ( ~ (v4 = 0) & convergent_lines(v1, v2) = v4))) % 49.23/17.30 | (117) ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection_point(v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & apart_point_and_line(v2, v1) = v3) | ( ~ (v3 = 0) & convergent_lines(v0, v1) = v3))) % 49.23/17.30 | (118) ! [v0] : ~ (distinct_lines(v0, v0) = 0) % 49.23/17.30 | (119) convergent_lines(all_0_5_5, all_0_3_3) = 0 % 49.23/17.30 | (120) ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 & apart_point_and_line(v1, v2) = v3)) % 49.23/17.30 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v2, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_lines(v1, v2) = 0) | ? [v6] : ((v6 = 0 & unorthogonal_lines(v1, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v1) = 0))) % 49.23/17.30 | (122) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (apart_point_and_line(v0, v2) = v3) | ~ (apart_point_and_line(v0, v1) = 0) | distinct_lines(v1, v2) = 0) % 49.23/17.30 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = v5) | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_lines(v2, v3) = 0) | ? [v6] : ((v6 = 0 & apart_point_and_line(v1, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v3) = 0) | ( ~ (v6 = 0) & distinct_points(v0, v1) = v6))) % 49.23/17.30 | (124) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (convergent_lines(v1, v2) = 0) | ~ (convergent_lines(v0, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v1) = 0 & convergent_lines(v0, v1) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v1, v2) = v4))) % 49.23/17.31 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ (convergent_lines(v3, v2) = v0)) % 49.23/17.31 | (126) ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 & apart_point_and_line(v0, v2) = v3)) % 49.23/17.31 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0)) % 49.23/17.31 | (128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (incident_point_and_line(v3, v2) = v1) | ~ (incident_point_and_line(v3, v2) = v0)) % 49.23/17.31 | (129) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ (apart_point_and_line(v3, v2) = v0)) % 49.23/17.31 | (130) ? [v0] : ? [v1] : ? [v2] : line_connecting(v1, v0) = v2 % 49.23/17.31 | (131) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (apart_point_and_line(v0, v1) = v2) | incident_point_and_line(v0, v1) = 0) % 49.23/17.31 | (132) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (incident_point_and_line(v0, v1) = v2) | apart_point_and_line(v0, v1) = 0) % 49.23/17.31 | (133) ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & parallel_lines(v0, v1) = v2)) % 49.23/17.31 | (134) ! [v0] : ! [v1] : ( ~ (parallel_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & convergent_lines(v0, v1) = v2)) % 49.23/17.31 | (135) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~ (apart_point_and_line(v0, v1) = v3) | ? [v5] : ((v5 = 0 & convergent_lines(v1, v2) = 0) | ( ~ (v5 = 0) & distinct_lines(v1, v2) = v5))) % 49.23/17.31 | (136) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~ (parallel_through_point(v3, v2) = v0)) % 49.23/17.31 | (137) ! [v0] : ! [v1] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & orthogonal_lines(v0, v1) = v2)) % 49.23/17.31 | (138) ! [v0] : ! [v1] : ( ~ (orthogonal_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & unorthogonal_lines(v0, v1) = v2)) % 49.23/17.31 | (139) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (apart_point_and_line(v0, v1) = 0) | ~ (distinct_points(v0, v2) = v3) | apart_point_and_line(v2, v1) = 0) % 49.23/17.31 | (140) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~ (unorthogonal_lines(v0, v2) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & convergent_lines(v1, v2) = 0) | (v5 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v0, v1) = v5) | ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5))) % 49.23/17.31 | (141) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unorthogonal_lines(v0, v1) = v2) | orthogonal_lines(v0, v1) = 0) % 49.23/17.31 | (142) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (orthogonal_lines(v0, v1) = v2) | unorthogonal_lines(v0, v1) = 0) % 49.23/17.31 | (143) ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & apart_point_and_line(v0, v2) = v3)) % 49.23/17.31 | (144) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0)) % 49.23/17.31 | (145) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v2, v1) = v4) | ~ (distinct_points(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & apart_point_and_line(v0, v1) = v5)) % 49.23/17.31 | (146) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (convergent_lines(v1, v2) = 0) | ~ (convergent_lines(v0, v1) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v1) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v1, v2) = v4))) % 49.23/17.31 | (147) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v0, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | distinct_points(v1, v2) = 0) % 49.23/17.31 | % 49.23/17.31 | Instantiating formula (117) with all_0_1_1, all_0_3_3, all_0_5_5 and discharging atoms intersection_point(all_0_5_5, all_0_3_3) = all_0_1_1, yields: % 49.23/17.31 | (148) ? [v0] : (( ~ (v0 = 0) & apart_point_and_line(all_0_1_1, all_0_3_3) = v0) | ( ~ (v0 = 0) & convergent_lines(all_0_5_5, all_0_3_3) = v0)) % 49.23/17.31 | % 49.23/17.31 | Instantiating formula (20) with all_0_1_1, all_0_3_3, all_0_5_5 and discharging atoms intersection_point(all_0_5_5, all_0_3_3) = all_0_1_1, yields: % 49.23/17.31 | (149) ? [v0] : (( ~ (v0 = 0) & apart_point_and_line(all_0_1_1, all_0_5_5) = v0) | ( ~ (v0 = 0) & convergent_lines(all_0_5_5, all_0_3_3) = v0)) % 49.23/17.31 | % 49.23/17.31 | Instantiating formula (117) with all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms intersection_point(all_0_5_5, all_0_4_4) = all_0_2_2, yields: % 49.23/17.31 | (150) ? [v0] : (( ~ (v0 = 0) & apart_point_and_line(all_0_2_2, all_0_4_4) = v0) | ( ~ (v0 = 0) & convergent_lines(all_0_5_5, all_0_4_4) = v0)) % 49.23/17.31 | % 49.23/17.31 | Instantiating formula (20) with all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms intersection_point(all_0_5_5, all_0_4_4) = all_0_2_2, yields: % 49.23/17.31 | (151) ? [v0] : (( ~ (v0 = 0) & apart_point_and_line(all_0_2_2, all_0_5_5) = v0) | ( ~ (v0 = 0) & convergent_lines(all_0_5_5, all_0_4_4) = v0)) % 49.23/17.31 | % 49.23/17.31 | Instantiating formula (135) with all_0_0_0, all_0_0_0, all_0_4_4, all_0_4_4, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0, yields: % 49.23/17.31 | (152) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_4_4, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0)) % 49.23/17.31 | % 49.23/17.31 | Instantiating formula (71) with all_0_0_0, all_0_0_0, all_0_4_4, all_0_4_4, all_0_1_1, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0, yields: % 49.23/17.31 | (153) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.31 | % 49.23/17.31 | Instantiating formula (48) with all_0_4_4, all_0_3_3 and discharging atoms convergent_lines(all_0_3_3, all_0_4_4) = 0, yields: % 49.23/17.31 | (154) ? [v0] : ? [v1] : ( ~ (v1 = 0) & intersection_point(all_0_3_3, all_0_4_4) = v0 & apart_point_and_line(v0, all_0_4_4) = v1) % 49.23/17.31 | % 49.23/17.31 | Instantiating formula (19) with all_0_4_4, all_0_3_3 and discharging atoms convergent_lines(all_0_3_3, all_0_4_4) = 0, yields: % 49.23/17.31 | (155) ? [v0] : ? [v1] : ( ~ (v1 = 0) & intersection_point(all_0_3_3, all_0_4_4) = v0 & apart_point_and_line(v0, all_0_3_3) = v1) % 49.23/17.31 | % 49.23/17.31 | Instantiating formula (48) with all_0_3_3, all_0_5_5 and discharging atoms convergent_lines(all_0_5_5, all_0_3_3) = 0, yields: % 49.23/17.31 | (156) ? [v0] : ? [v1] : ( ~ (v1 = 0) & intersection_point(all_0_5_5, all_0_3_3) = v0 & apart_point_and_line(v0, all_0_3_3) = v1) % 49.23/17.31 | % 49.23/17.31 | Instantiating formula (19) with all_0_3_3, all_0_5_5 and discharging atoms convergent_lines(all_0_5_5, all_0_3_3) = 0, yields: % 49.23/17.31 | (157) ? [v0] : ? [v1] : ( ~ (v1 = 0) & intersection_point(all_0_5_5, all_0_3_3) = v0 & apart_point_and_line(v0, all_0_5_5) = v1) % 49.23/17.31 | % 49.23/17.31 | Instantiating formula (48) with all_0_4_4, all_0_5_5 and discharging atoms convergent_lines(all_0_5_5, all_0_4_4) = 0, yields: % 49.23/17.31 | (158) ? [v0] : ? [v1] : ( ~ (v1 = 0) & intersection_point(all_0_5_5, all_0_4_4) = v0 & apart_point_and_line(v0, all_0_4_4) = v1) % 49.23/17.31 | % 49.23/17.31 | Instantiating formula (19) with all_0_4_4, all_0_5_5 and discharging atoms convergent_lines(all_0_5_5, all_0_4_4) = 0, yields: % 49.23/17.31 | (159) ? [v0] : ? [v1] : ( ~ (v1 = 0) & intersection_point(all_0_5_5, all_0_4_4) = v0 & apart_point_and_line(v0, all_0_5_5) = v1) % 49.23/17.31 | % 49.23/17.31 | Instantiating (159) with all_42_0_53, all_42_1_54 yields: % 49.23/17.31 | (160) ~ (all_42_0_53 = 0) & intersection_point(all_0_5_5, all_0_4_4) = all_42_1_54 & apart_point_and_line(all_42_1_54, all_0_5_5) = all_42_0_53 % 49.23/17.31 | % 49.23/17.31 | Applying alpha-rule on (160) yields: % 49.23/17.31 | (161) ~ (all_42_0_53 = 0) % 49.23/17.31 | (162) intersection_point(all_0_5_5, all_0_4_4) = all_42_1_54 % 49.23/17.31 | (163) apart_point_and_line(all_42_1_54, all_0_5_5) = all_42_0_53 % 49.23/17.31 | % 49.23/17.31 | Instantiating (155) with all_46_0_58, all_46_1_59 yields: % 49.23/17.31 | (164) ~ (all_46_0_58 = 0) & intersection_point(all_0_3_3, all_0_4_4) = all_46_1_59 & apart_point_and_line(all_46_1_59, all_0_3_3) = all_46_0_58 % 49.23/17.31 | % 49.23/17.31 | Applying alpha-rule on (164) yields: % 49.23/17.31 | (165) ~ (all_46_0_58 = 0) % 49.23/17.31 | (166) intersection_point(all_0_3_3, all_0_4_4) = all_46_1_59 % 49.23/17.31 | (167) apart_point_and_line(all_46_1_59, all_0_3_3) = all_46_0_58 % 49.23/17.31 | % 49.23/17.31 | Instantiating (154) with all_48_0_60, all_48_1_61 yields: % 49.23/17.31 | (168) ~ (all_48_0_60 = 0) & intersection_point(all_0_3_3, all_0_4_4) = all_48_1_61 & apart_point_and_line(all_48_1_61, all_0_4_4) = all_48_0_60 % 49.23/17.31 | % 49.23/17.31 | Applying alpha-rule on (168) yields: % 49.23/17.31 | (169) ~ (all_48_0_60 = 0) % 49.23/17.31 | (170) intersection_point(all_0_3_3, all_0_4_4) = all_48_1_61 % 49.23/17.31 | (171) apart_point_and_line(all_48_1_61, all_0_4_4) = all_48_0_60 % 49.23/17.31 | % 49.23/17.31 | Instantiating (151) with all_51_0_63 yields: % 49.23/17.31 | (172) ( ~ (all_51_0_63 = 0) & apart_point_and_line(all_0_2_2, all_0_5_5) = all_51_0_63) | ( ~ (all_51_0_63 = 0) & convergent_lines(all_0_5_5, all_0_4_4) = all_51_0_63) % 49.23/17.31 | % 49.23/17.31 | Instantiating (150) with all_52_0_64 yields: % 49.23/17.31 | (173) ( ~ (all_52_0_64 = 0) & apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64) | ( ~ (all_52_0_64 = 0) & convergent_lines(all_0_5_5, all_0_4_4) = all_52_0_64) % 49.23/17.31 | % 49.23/17.31 | Instantiating (157) with all_63_0_78, all_63_1_79 yields: % 49.23/17.31 | (174) ~ (all_63_0_78 = 0) & intersection_point(all_0_5_5, all_0_3_3) = all_63_1_79 & apart_point_and_line(all_63_1_79, all_0_5_5) = all_63_0_78 % 49.23/17.31 | % 49.23/17.31 | Applying alpha-rule on (174) yields: % 49.23/17.31 | (175) ~ (all_63_0_78 = 0) % 49.23/17.31 | (176) intersection_point(all_0_5_5, all_0_3_3) = all_63_1_79 % 49.23/17.31 | (177) apart_point_and_line(all_63_1_79, all_0_5_5) = all_63_0_78 % 49.23/17.31 | % 49.23/17.31 | Instantiating (156) with all_65_0_80, all_65_1_81 yields: % 49.23/17.31 | (178) ~ (all_65_0_80 = 0) & intersection_point(all_0_5_5, all_0_3_3) = all_65_1_81 & apart_point_and_line(all_65_1_81, all_0_3_3) = all_65_0_80 % 49.23/17.31 | % 49.23/17.31 | Applying alpha-rule on (178) yields: % 49.23/17.31 | (179) ~ (all_65_0_80 = 0) % 49.23/17.31 | (180) intersection_point(all_0_5_5, all_0_3_3) = all_65_1_81 % 49.23/17.31 | (181) apart_point_and_line(all_65_1_81, all_0_3_3) = all_65_0_80 % 49.23/17.31 | % 49.23/17.31 | Instantiating (148) with all_68_0_83 yields: % 49.23/17.31 | (182) ( ~ (all_68_0_83 = 0) & apart_point_and_line(all_0_1_1, all_0_3_3) = all_68_0_83) | ( ~ (all_68_0_83 = 0) & convergent_lines(all_0_5_5, all_0_3_3) = all_68_0_83) % 49.23/17.31 | % 49.23/17.31 | Instantiating (158) with all_69_0_84, all_69_1_85 yields: % 49.23/17.31 | (183) ~ (all_69_0_84 = 0) & intersection_point(all_0_5_5, all_0_4_4) = all_69_1_85 & apart_point_and_line(all_69_1_85, all_0_4_4) = all_69_0_84 % 49.23/17.31 | % 49.23/17.31 | Applying alpha-rule on (183) yields: % 49.23/17.31 | (184) ~ (all_69_0_84 = 0) % 49.23/17.31 | (185) intersection_point(all_0_5_5, all_0_4_4) = all_69_1_85 % 49.23/17.31 | (186) apart_point_and_line(all_69_1_85, all_0_4_4) = all_69_0_84 % 49.23/17.31 | % 49.23/17.31 | Instantiating (149) with all_73_0_89 yields: % 49.23/17.31 | (187) ( ~ (all_73_0_89 = 0) & apart_point_and_line(all_0_1_1, all_0_5_5) = all_73_0_89) | ( ~ (all_73_0_89 = 0) & convergent_lines(all_0_5_5, all_0_3_3) = all_73_0_89) % 49.23/17.31 | % 49.23/17.31 +-Applying beta-rule and splitting (152), into two cases. % 49.23/17.31 |-Branch one: % 49.23/17.31 | (188) all_0_0_0 = 0 % 49.23/17.31 | % 49.23/17.31 | Equations (188) can reduce 18 to: % 49.23/17.31 | (189) $false % 49.23/17.31 | % 49.23/17.31 |-The branch is then unsatisfiable % 49.23/17.31 |-Branch two: % 49.23/17.31 | (18) ~ (all_0_0_0 = 0) % 49.23/17.31 | (191) ? [v0] : ((v0 = 0 & convergent_lines(all_0_4_4, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0)) % 49.23/17.32 | % 49.23/17.32 +-Applying beta-rule and splitting (153), into two cases. % 49.23/17.32 |-Branch one: % 49.23/17.32 | (188) all_0_0_0 = 0 % 49.23/17.32 | % 49.23/17.32 | Equations (188) can reduce 18 to: % 49.23/17.32 | (189) $false % 49.23/17.32 | % 49.23/17.32 |-The branch is then unsatisfiable % 49.23/17.32 |-Branch two: % 49.23/17.32 | (18) ~ (all_0_0_0 = 0) % 49.23/17.32 | (195) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.32 | % 49.23/17.32 +-Applying beta-rule and splitting (173), into two cases. % 49.23/17.32 |-Branch one: % 49.23/17.32 | (196) ~ (all_52_0_64 = 0) & apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64 % 49.23/17.32 | % 49.23/17.32 | Applying alpha-rule on (196) yields: % 49.23/17.32 | (197) ~ (all_52_0_64 = 0) % 49.23/17.32 | (198) apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64 % 49.23/17.32 | % 49.23/17.32 +-Applying beta-rule and splitting (172), into two cases. % 49.23/17.32 |-Branch one: % 49.23/17.32 | (199) ~ (all_51_0_63 = 0) & apart_point_and_line(all_0_2_2, all_0_5_5) = all_51_0_63 % 49.23/17.32 | % 49.23/17.32 | Applying alpha-rule on (199) yields: % 49.23/17.32 | (200) ~ (all_51_0_63 = 0) % 49.23/17.32 | (201) apart_point_and_line(all_0_2_2, all_0_5_5) = all_51_0_63 % 49.23/17.32 | % 49.23/17.32 +-Applying beta-rule and splitting (187), into two cases. % 49.23/17.32 |-Branch one: % 49.23/17.32 | (202) ~ (all_73_0_89 = 0) & apart_point_and_line(all_0_1_1, all_0_5_5) = all_73_0_89 % 49.23/17.32 | % 49.23/17.32 | Applying alpha-rule on (202) yields: % 49.23/17.32 | (203) ~ (all_73_0_89 = 0) % 49.23/17.32 | (204) apart_point_and_line(all_0_1_1, all_0_5_5) = all_73_0_89 % 49.23/17.32 | % 49.23/17.32 +-Applying beta-rule and splitting (182), into two cases. % 49.23/17.32 |-Branch one: % 49.23/17.32 | (205) ~ (all_68_0_83 = 0) & apart_point_and_line(all_0_1_1, all_0_3_3) = all_68_0_83 % 49.23/17.32 | % 49.23/17.32 | Applying alpha-rule on (205) yields: % 49.23/17.32 | (206) ~ (all_68_0_83 = 0) % 49.23/17.32 | (207) apart_point_and_line(all_0_1_1, all_0_3_3) = all_68_0_83 % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (70) with all_0_3_3, all_0_4_4, all_46_1_59, all_48_1_61 and discharging atoms intersection_point(all_0_3_3, all_0_4_4) = all_48_1_61, intersection_point(all_0_3_3, all_0_4_4) = all_46_1_59, yields: % 49.23/17.32 | (208) all_48_1_61 = all_46_1_59 % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (70) with all_0_5_5, all_0_3_3, all_65_1_81, all_0_1_1 and discharging atoms intersection_point(all_0_5_5, all_0_3_3) = all_65_1_81, intersection_point(all_0_5_5, all_0_3_3) = all_0_1_1, yields: % 49.23/17.32 | (209) all_65_1_81 = all_0_1_1 % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (70) with all_0_5_5, all_0_3_3, all_63_1_79, all_65_1_81 and discharging atoms intersection_point(all_0_5_5, all_0_3_3) = all_65_1_81, intersection_point(all_0_5_5, all_0_3_3) = all_63_1_79, yields: % 49.23/17.32 | (210) all_65_1_81 = all_63_1_79 % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (70) with all_0_5_5, all_0_4_4, all_69_1_85, all_0_2_2 and discharging atoms intersection_point(all_0_5_5, all_0_4_4) = all_69_1_85, intersection_point(all_0_5_5, all_0_4_4) = all_0_2_2, yields: % 49.23/17.32 | (211) all_69_1_85 = all_0_2_2 % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (70) with all_0_5_5, all_0_4_4, all_42_1_54, all_69_1_85 and discharging atoms intersection_point(all_0_5_5, all_0_4_4) = all_69_1_85, intersection_point(all_0_5_5, all_0_4_4) = all_42_1_54, yields: % 49.23/17.32 | (212) all_69_1_85 = all_42_1_54 % 49.23/17.32 | % 49.23/17.32 | Combining equations (211,212) yields a new equation: % 49.23/17.32 | (213) all_42_1_54 = all_0_2_2 % 49.23/17.32 | % 49.23/17.32 | Combining equations (209,210) yields a new equation: % 49.23/17.32 | (214) all_63_1_79 = all_0_1_1 % 49.23/17.32 | % 49.23/17.32 | Combining equations (214,210) yields a new equation: % 49.23/17.32 | (209) all_65_1_81 = all_0_1_1 % 49.23/17.32 | % 49.23/17.32 | Combining equations (213,212) yields a new equation: % 49.23/17.32 | (211) all_69_1_85 = all_0_2_2 % 49.23/17.32 | % 49.23/17.32 | From (211) and (186) follows: % 49.23/17.32 | (217) apart_point_and_line(all_0_2_2, all_0_4_4) = all_69_0_84 % 49.23/17.32 | % 49.23/17.32 | From (209) and (181) follows: % 49.23/17.32 | (218) apart_point_and_line(all_0_1_1, all_0_3_3) = all_65_0_80 % 49.23/17.32 | % 49.23/17.32 | From (214) and (177) follows: % 49.23/17.32 | (219) apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78 % 49.23/17.32 | % 49.23/17.32 | From (208) and (171) follows: % 49.23/17.32 | (220) apart_point_and_line(all_46_1_59, all_0_4_4) = all_48_0_60 % 49.23/17.32 | % 49.23/17.32 | From (213) and (163) follows: % 49.23/17.32 | (221) apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53 % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (129) with all_0_1_1, all_0_3_3, all_65_0_80, all_68_0_83 and discharging atoms apart_point_and_line(all_0_1_1, all_0_3_3) = all_68_0_83, apart_point_and_line(all_0_1_1, all_0_3_3) = all_65_0_80, yields: % 49.23/17.32 | (222) all_68_0_83 = all_65_0_80 % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (129) with all_0_1_1, all_0_5_5, all_63_0_78, all_73_0_89 and discharging atoms apart_point_and_line(all_0_1_1, all_0_5_5) = all_73_0_89, apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, yields: % 49.23/17.32 | (223) all_73_0_89 = all_63_0_78 % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (129) with all_0_2_2, all_0_4_4, all_69_0_84, all_52_0_64 and discharging atoms apart_point_and_line(all_0_2_2, all_0_4_4) = all_69_0_84, apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, yields: % 49.23/17.32 | (224) all_69_0_84 = all_52_0_64 % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (129) with all_0_2_2, all_0_5_5, all_42_0_53, all_51_0_63 and discharging atoms apart_point_and_line(all_0_2_2, all_0_5_5) = all_51_0_63, apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.32 | (225) all_51_0_63 = all_42_0_53 % 49.23/17.32 | % 49.23/17.32 | Equations (223) can reduce 203 to: % 49.23/17.32 | (175) ~ (all_63_0_78 = 0) % 49.23/17.32 | % 49.23/17.32 | Equations (224) can reduce 184 to: % 49.23/17.32 | (197) ~ (all_52_0_64 = 0) % 49.23/17.32 | % 49.23/17.32 | Equations (222) can reduce 206 to: % 49.23/17.32 | (179) ~ (all_65_0_80 = 0) % 49.23/17.32 | % 49.23/17.32 | Equations (225) can reduce 200 to: % 49.23/17.32 | (161) ~ (all_42_0_53 = 0) % 49.23/17.32 | % 49.23/17.32 | From (222) and (207) follows: % 49.23/17.32 | (218) apart_point_and_line(all_0_1_1, all_0_3_3) = all_65_0_80 % 49.23/17.32 | % 49.23/17.32 | From (223) and (204) follows: % 49.23/17.32 | (219) apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78 % 49.23/17.32 | % 49.23/17.32 | From (224) and (217) follows: % 49.23/17.32 | (198) apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64 % 49.23/17.32 | % 49.23/17.32 | From (225) and (201) follows: % 49.23/17.32 | (221) apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53 % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (71) with all_46_0_58, all_0_0_0, all_0_3_3, all_0_4_4, all_46_1_59, all_0_1_1 and discharging atoms apart_point_and_line(all_46_1_59, all_0_3_3) = all_46_0_58, apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0, yields: % 49.23/17.32 | (234) all_46_0_58 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_46_1_59) = v0)) % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (71) with all_0_0_0, all_46_0_58, all_0_4_4, all_0_3_3, all_0_1_1, all_46_1_59 and discharging atoms apart_point_and_line(all_46_1_59, all_0_3_3) = all_46_0_58, apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0, yields: % 49.23/17.32 | (235) all_46_0_58 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_1_1) = v0)) % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (8) with all_46_0_58, all_0_0_0, all_0_4_4, all_0_3_3, all_46_1_59, all_0_1_1 and discharging atoms apart_point_and_line(all_46_1_59, all_0_3_3) = all_46_0_58, apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0, yields: % 49.23/17.32 | (236) all_46_0_58 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_46_1_59) = v0)) % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (8) with all_0_0_0, all_46_0_58, all_0_3_3, all_0_4_4, all_0_1_1, all_46_1_59 and discharging atoms apart_point_and_line(all_46_1_59, all_0_3_3) = all_46_0_58, apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0, yields: % 49.23/17.32 | (237) all_46_0_58 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_1_1) = v0)) % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (135) with all_46_0_58, all_46_0_58, all_0_3_3, all_0_3_3, all_46_1_59 and discharging atoms apart_point_and_line(all_46_1_59, all_0_3_3) = all_46_0_58, yields: % 49.23/17.32 | (238) all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_3_3, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_3_3) = v0)) % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (71) with all_46_0_58, all_46_0_58, all_0_3_3, all_0_3_3, all_46_1_59, all_46_1_59 and discharging atoms apart_point_and_line(all_46_1_59, all_0_3_3) = all_46_0_58, yields: % 49.23/17.32 | (239) all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_46_1_59) = v0)) % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (71) with all_48_0_60, all_0_0_0, all_0_4_4, all_0_4_4, all_46_1_59, all_0_1_1 and discharging atoms apart_point_and_line(all_46_1_59, all_0_4_4) = all_48_0_60, apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0, yields: % 49.23/17.32 | (240) all_48_0_60 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_46_1_59) = v0)) % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (71) with all_0_0_0, all_48_0_60, all_0_4_4, all_0_4_4, all_0_1_1, all_46_1_59 and discharging atoms apart_point_and_line(all_46_1_59, all_0_4_4) = all_48_0_60, apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0, yields: % 49.23/17.32 | (241) all_48_0_60 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_1_1) = v0)) % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (135) with all_46_0_58, all_48_0_60, all_0_3_3, all_0_4_4, all_46_1_59 and discharging atoms apart_point_and_line(all_46_1_59, all_0_3_3) = all_46_0_58, apart_point_and_line(all_46_1_59, all_0_4_4) = all_48_0_60, yields: % 49.23/17.32 | (242) all_48_0_60 = 0 | all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_4_4, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0)) % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (71) with all_48_0_60, all_46_0_58, all_0_4_4, all_0_3_3, all_46_1_59, all_46_1_59 and discharging atoms apart_point_and_line(all_46_1_59, all_0_3_3) = all_46_0_58, apart_point_and_line(all_46_1_59, all_0_4_4) = all_48_0_60, yields: % 49.23/17.32 | (243) all_48_0_60 = 0 | all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_3_3) = 0) | (v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_46_1_59) = v0)) % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (71) with all_46_0_58, all_48_0_60, all_0_3_3, all_0_4_4, all_46_1_59, all_46_1_59 and discharging atoms apart_point_and_line(all_46_1_59, all_0_3_3) = all_46_0_58, apart_point_and_line(all_46_1_59, all_0_4_4) = all_48_0_60, yields: % 49.23/17.32 | (244) all_48_0_60 = 0 | all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_3_3) = 0) | (v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_46_1_59) = v0)) % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (135) with all_48_0_60, all_48_0_60, all_0_4_4, all_0_4_4, all_46_1_59 and discharging atoms apart_point_and_line(all_46_1_59, all_0_4_4) = all_48_0_60, yields: % 49.23/17.32 | (245) all_48_0_60 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_4_4, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0)) % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (135) with all_65_0_80, all_0_0_0, all_0_3_3, all_0_4_4, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_3_3) = all_65_0_80, apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0, yields: % 49.23/17.32 | (246) all_65_0_80 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_4_4, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0)) % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (71) with all_65_0_80, all_0_0_0, all_0_3_3, all_0_4_4, all_0_1_1, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_3_3) = all_65_0_80, apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0, yields: % 49.23/17.32 | (247) all_65_0_80 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (71) with all_0_0_0, all_65_0_80, all_0_4_4, all_0_3_3, all_0_1_1, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_3_3) = all_65_0_80, apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0, yields: % 49.23/17.32 | (248) all_65_0_80 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (60) with all_65_0_80, all_0_1_1, all_0_3_3, all_0_2_2 and discharging atoms apart_point_and_line(all_0_1_1, all_0_3_3) = all_65_0_80, apart_point_and_line(all_0_2_2, all_0_3_3) = 0, yields: % 49.23/17.32 | (249) all_65_0_80 = 0 | distinct_points(all_0_2_2, all_0_1_1) = 0 % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (135) with all_65_0_80, all_65_0_80, all_0_3_3, all_0_3_3, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_3_3) = all_65_0_80, yields: % 49.23/17.32 | (250) all_65_0_80 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_3_3, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_3_3) = v0)) % 49.23/17.32 | % 49.23/17.32 | Instantiating formula (71) with all_65_0_80, all_65_0_80, all_0_3_3, all_0_3_3, all_0_1_1, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_3_3) = all_65_0_80, yields: % 49.23/17.33 | (251) all_65_0_80 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (135) with all_63_0_78, all_0_0_0, all_0_5_5, all_0_4_4, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0, apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, yields: % 49.23/17.33 | (252) all_63_0_78 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_4_4, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (135) with all_0_0_0, all_63_0_78, all_0_4_4, all_0_5_5, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0, apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, yields: % 49.23/17.33 | (253) all_63_0_78 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_5_5, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (71) with all_63_0_78, all_0_0_0, all_0_5_5, all_0_4_4, all_0_1_1, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0, apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, yields: % 49.23/17.33 | (254) all_63_0_78 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (71) with all_0_0_0, all_63_0_78, all_0_4_4, all_0_5_5, all_0_1_1, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0, apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, yields: % 49.23/17.33 | (255) all_63_0_78 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (71) with all_63_0_78, all_46_0_58, all_0_5_5, all_0_3_3, all_0_1_1, all_46_1_59 and discharging atoms apart_point_and_line(all_46_1_59, all_0_3_3) = all_46_0_58, apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, yields: % 49.23/17.33 | (256) all_63_0_78 = 0 | all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_1_1) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (71) with all_46_0_58, all_63_0_78, all_0_3_3, all_0_5_5, all_46_1_59, all_0_1_1 and discharging atoms apart_point_and_line(all_46_1_59, all_0_3_3) = all_46_0_58, apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, yields: % 49.23/17.33 | (257) all_63_0_78 = 0 | all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_46_1_59) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (8) with all_63_0_78, all_46_0_58, all_0_3_3, all_0_5_5, all_0_1_1, all_46_1_59 and discharging atoms apart_point_and_line(all_46_1_59, all_0_3_3) = all_46_0_58, apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, yields: % 49.23/17.33 | (258) all_63_0_78 = 0 | all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_1_1) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (8) with all_46_0_58, all_63_0_78, all_0_5_5, all_0_3_3, all_46_1_59, all_0_1_1 and discharging atoms apart_point_and_line(all_46_1_59, all_0_3_3) = all_46_0_58, apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, yields: % 49.23/17.33 | (259) all_63_0_78 = 0 | all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_46_1_59) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (71) with all_63_0_78, all_48_0_60, all_0_5_5, all_0_4_4, all_0_1_1, all_46_1_59 and discharging atoms apart_point_and_line(all_46_1_59, all_0_4_4) = all_48_0_60, apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, yields: % 49.23/17.33 | (260) all_63_0_78 = 0 | all_48_0_60 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_1_1) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (71) with all_48_0_60, all_63_0_78, all_0_4_4, all_0_5_5, all_46_1_59, all_0_1_1 and discharging atoms apart_point_and_line(all_46_1_59, all_0_4_4) = all_48_0_60, apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, yields: % 49.23/17.33 | (261) all_63_0_78 = 0 | all_48_0_60 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_46_1_59) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (8) with all_63_0_78, all_48_0_60, all_0_4_4, all_0_5_5, all_0_1_1, all_46_1_59 and discharging atoms apart_point_and_line(all_46_1_59, all_0_4_4) = all_48_0_60, apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, yields: % 49.23/17.33 | (262) all_63_0_78 = 0 | all_48_0_60 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_1_1) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (8) with all_48_0_60, all_63_0_78, all_0_5_5, all_0_4_4, all_46_1_59, all_0_1_1 and discharging atoms apart_point_and_line(all_46_1_59, all_0_4_4) = all_48_0_60, apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, yields: % 49.23/17.33 | (263) all_63_0_78 = 0 | all_48_0_60 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_46_1_59) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (135) with all_63_0_78, all_65_0_80, all_0_5_5, all_0_3_3, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_3_3) = all_65_0_80, apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, yields: % 49.23/17.33 | (264) all_65_0_80 = 0 | all_63_0_78 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_3_3, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_5_5) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (135) with all_65_0_80, all_63_0_78, all_0_3_3, all_0_5_5, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_3_3) = all_65_0_80, apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, yields: % 49.23/17.33 | (265) all_65_0_80 = 0 | all_63_0_78 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_5_5, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (71) with all_63_0_78, all_65_0_80, all_0_5_5, all_0_3_3, all_0_1_1, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_3_3) = all_65_0_80, apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, yields: % 49.23/17.33 | (266) all_65_0_80 = 0 | all_63_0_78 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (71) with all_65_0_80, all_63_0_78, all_0_3_3, all_0_5_5, all_0_1_1, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_3_3) = all_65_0_80, apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, yields: % 49.23/17.33 | (267) all_65_0_80 = 0 | all_63_0_78 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (135) with all_63_0_78, all_63_0_78, all_0_5_5, all_0_5_5, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, yields: % 49.23/17.33 | (268) all_63_0_78 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_5_5, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_5_5) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (71) with all_63_0_78, all_63_0_78, all_0_5_5, all_0_5_5, all_0_1_1, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, yields: % 49.23/17.33 | (269) all_63_0_78 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (71) with all_52_0_64, all_0_0_0, all_0_4_4, all_0_4_4, all_0_2_2, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0, apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, yields: % 49.23/17.33 | (270) all_52_0_64 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (71) with all_0_0_0, all_52_0_64, all_0_4_4, all_0_4_4, all_0_1_1, all_0_2_2 and discharging atoms apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0, apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, yields: % 49.23/17.33 | (271) all_52_0_64 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_1_1) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (71) with all_52_0_64, all_46_0_58, all_0_4_4, all_0_3_3, all_0_2_2, all_46_1_59 and discharging atoms apart_point_and_line(all_46_1_59, all_0_3_3) = all_46_0_58, apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, yields: % 49.23/17.33 | (272) all_52_0_64 = 0 | all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_2_2) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (71) with all_46_0_58, all_52_0_64, all_0_3_3, all_0_4_4, all_46_1_59, all_0_2_2 and discharging atoms apart_point_and_line(all_46_1_59, all_0_3_3) = all_46_0_58, apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, yields: % 49.23/17.33 | (273) all_52_0_64 = 0 | all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_46_1_59) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (8) with all_52_0_64, all_46_0_58, all_0_3_3, all_0_4_4, all_0_2_2, all_46_1_59 and discharging atoms apart_point_and_line(all_46_1_59, all_0_3_3) = all_46_0_58, apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, yields: % 49.23/17.33 | (274) all_52_0_64 = 0 | all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_2_2) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (71) with all_52_0_64, all_48_0_60, all_0_4_4, all_0_4_4, all_0_2_2, all_46_1_59 and discharging atoms apart_point_and_line(all_46_1_59, all_0_4_4) = all_48_0_60, apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, yields: % 49.23/17.33 | (275) all_52_0_64 = 0 | all_48_0_60 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_2_2) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (71) with all_48_0_60, all_52_0_64, all_0_4_4, all_0_4_4, all_46_1_59, all_0_2_2 and discharging atoms apart_point_and_line(all_46_1_59, all_0_4_4) = all_48_0_60, apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, yields: % 49.23/17.33 | (276) all_52_0_64 = 0 | all_48_0_60 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_46_1_59) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (71) with all_52_0_64, all_65_0_80, all_0_4_4, all_0_3_3, all_0_2_2, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_3_3) = all_65_0_80, apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, yields: % 49.23/17.33 | (277) all_65_0_80 = 0 | all_52_0_64 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (71) with all_65_0_80, all_52_0_64, all_0_3_3, all_0_4_4, all_0_1_1, all_0_2_2 and discharging atoms apart_point_and_line(all_0_1_1, all_0_3_3) = all_65_0_80, apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, yields: % 49.23/17.33 | (278) all_65_0_80 = 0 | all_52_0_64 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_1_1) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (8) with all_52_0_64, all_65_0_80, all_0_3_3, all_0_4_4, all_0_2_2, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_3_3) = all_65_0_80, apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, yields: % 49.23/17.33 | (279) all_65_0_80 = 0 | all_52_0_64 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (71) with all_52_0_64, all_63_0_78, all_0_4_4, all_0_5_5, all_0_2_2, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, yields: % 49.23/17.33 | (280) all_63_0_78 = 0 | all_52_0_64 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (71) with all_63_0_78, all_52_0_64, all_0_5_5, all_0_4_4, all_0_1_1, all_0_2_2 and discharging atoms apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, yields: % 49.23/17.33 | (281) all_63_0_78 = 0 | all_52_0_64 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_1_1) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (8) with all_52_0_64, all_63_0_78, all_0_5_5, all_0_4_4, all_0_2_2, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, yields: % 49.23/17.33 | (282) all_63_0_78 = 0 | all_52_0_64 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (8) with all_63_0_78, all_52_0_64, all_0_4_4, all_0_5_5, all_0_1_1, all_0_2_2 and discharging atoms apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, yields: % 49.23/17.33 | (283) all_63_0_78 = 0 | all_52_0_64 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_1_1) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (135) with all_52_0_64, all_52_0_64, all_0_4_4, all_0_4_4, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, yields: % 49.23/17.33 | (284) all_52_0_64 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_4_4, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0)) % 49.23/17.33 | % 49.23/17.33 | Instantiating formula (71) with all_52_0_64, all_52_0_64, all_0_4_4, all_0_4_4, all_0_2_2, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, yields: % 49.23/17.33 | (285) all_52_0_64 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0)) % 49.23/17.34 | % 49.23/17.34 | Instantiating formula (71) with all_42_0_53, all_0_0_0, all_0_5_5, all_0_4_4, all_0_2_2, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0, apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.34 | (286) all_42_0_53 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.34 | % 49.23/17.34 | Instantiating formula (8) with all_42_0_53, all_0_0_0, all_0_4_4, all_0_5_5, all_0_2_2, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0, apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.34 | (287) all_42_0_53 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.34 | % 49.23/17.34 | Instantiating formula (8) with all_0_0_0, all_42_0_53, all_0_5_5, all_0_4_4, all_0_1_1, all_0_2_2 and discharging atoms apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0, apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.34 | (288) all_42_0_53 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_1_1) = v0)) % 49.23/17.34 | % 49.23/17.34 | Instantiating formula (71) with all_42_0_53, all_46_0_58, all_0_5_5, all_0_3_3, all_0_2_2, all_46_1_59 and discharging atoms apart_point_and_line(all_46_1_59, all_0_3_3) = all_46_0_58, apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.34 | (289) all_46_0_58 = 0 | all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_2_2) = v0)) % 49.23/17.34 | % 49.23/17.34 | Instantiating formula (71) with all_46_0_58, all_42_0_53, all_0_3_3, all_0_5_5, all_46_1_59, all_0_2_2 and discharging atoms apart_point_and_line(all_46_1_59, all_0_3_3) = all_46_0_58, apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.34 | (290) all_46_0_58 = 0 | all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_46_1_59) = v0)) % 49.23/17.34 | % 49.23/17.34 | Instantiating formula (8) with all_42_0_53, all_46_0_58, all_0_3_3, all_0_5_5, all_0_2_2, all_46_1_59 and discharging atoms apart_point_and_line(all_46_1_59, all_0_3_3) = all_46_0_58, apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.34 | (291) all_46_0_58 = 0 | all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_2_2) = v0)) % 49.23/17.34 | % 49.23/17.34 | Instantiating formula (71) with all_42_0_53, all_48_0_60, all_0_5_5, all_0_4_4, all_0_2_2, all_46_1_59 and discharging atoms apart_point_and_line(all_46_1_59, all_0_4_4) = all_48_0_60, apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.34 | (292) all_48_0_60 = 0 | all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_2_2) = v0)) % 49.23/17.34 | % 49.23/17.34 | Instantiating formula (71) with all_48_0_60, all_42_0_53, all_0_4_4, all_0_5_5, all_46_1_59, all_0_2_2 and discharging atoms apart_point_and_line(all_46_1_59, all_0_4_4) = all_48_0_60, apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.34 | (293) all_48_0_60 = 0 | all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_46_1_59) = v0)) % 49.23/17.34 | % 49.23/17.34 | Instantiating formula (8) with all_42_0_53, all_48_0_60, all_0_4_4, all_0_5_5, all_0_2_2, all_46_1_59 and discharging atoms apart_point_and_line(all_46_1_59, all_0_4_4) = all_48_0_60, apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.34 | (294) all_48_0_60 = 0 | all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_2_2) = v0)) % 49.23/17.34 | % 49.23/17.34 | Instantiating formula (8) with all_48_0_60, all_42_0_53, all_0_5_5, all_0_4_4, all_46_1_59, all_0_2_2 and discharging atoms apart_point_and_line(all_46_1_59, all_0_4_4) = all_48_0_60, apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.34 | (295) all_48_0_60 = 0 | all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_46_1_59) = v0)) % 49.23/17.34 | % 49.23/17.34 | Instantiating formula (71) with all_42_0_53, all_65_0_80, all_0_5_5, all_0_3_3, all_0_2_2, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_3_3) = all_65_0_80, apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.34 | (296) all_65_0_80 = 0 | all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.34 | % 49.23/17.34 | Instantiating formula (71) with all_65_0_80, all_42_0_53, all_0_3_3, all_0_5_5, all_0_1_1, all_0_2_2 and discharging atoms apart_point_and_line(all_0_1_1, all_0_3_3) = all_65_0_80, apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.34 | (297) all_65_0_80 = 0 | all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_1_1) = v0)) % 49.23/17.34 | % 49.23/17.34 | Instantiating formula (8) with all_42_0_53, all_65_0_80, all_0_3_3, all_0_5_5, all_0_2_2, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_3_3) = all_65_0_80, apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.34 | (298) all_65_0_80 = 0 | all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.34 | % 49.23/17.34 | Instantiating formula (71) with all_42_0_53, all_63_0_78, all_0_5_5, all_0_5_5, all_0_2_2, all_0_1_1 and discharging atoms apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.34 | (299) all_63_0_78 = 0 | all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.34 | % 49.23/17.34 | Instantiating formula (71) with all_63_0_78, all_42_0_53, all_0_5_5, all_0_5_5, all_0_1_1, all_0_2_2 and discharging atoms apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.34 | (300) all_63_0_78 = 0 | all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_1_1) = v0)) % 49.23/17.34 | % 49.23/17.34 | Instantiating formula (135) with all_42_0_53, all_52_0_64, all_0_5_5, all_0_4_4, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.34 | (301) all_52_0_64 = 0 | all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_4_4, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0)) % 49.23/17.34 | % 49.23/17.34 | Instantiating formula (135) with all_52_0_64, all_42_0_53, all_0_4_4, all_0_5_5, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.34 | (302) all_52_0_64 = 0 | all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_5_5, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0)) % 49.23/17.34 | % 49.23/17.34 | Instantiating formula (71) with all_42_0_53, all_52_0_64, all_0_5_5, all_0_4_4, all_0_2_2, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.34 | (303) all_52_0_64 = 0 | all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0)) % 49.23/17.34 | % 49.23/17.34 | Instantiating formula (71) with all_52_0_64, all_42_0_53, all_0_4_4, all_0_5_5, all_0_2_2, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.34 | (304) all_52_0_64 = 0 | all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0)) % 49.23/17.34 | % 49.23/17.34 | Instantiating formula (135) with all_42_0_53, all_42_0_53, all_0_5_5, all_0_5_5, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.34 | (305) all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_5_5, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_5_5) = v0)) % 49.23/17.34 | % 49.23/17.34 | Instantiating formula (71) with all_42_0_53, all_42_0_53, all_0_5_5, all_0_5_5, all_0_2_2, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, yields: % 49.23/17.34 | (306) all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0)) % 49.23/17.34 | % 49.23/17.34 +-Applying beta-rule and splitting (245), into two cases. % 49.23/17.34 |-Branch one: % 49.23/17.34 | (307) all_48_0_60 = 0 % 49.23/17.34 | % 49.23/17.34 | Equations (307) can reduce 169 to: % 49.23/17.34 | (189) $false % 49.23/17.34 | % 49.23/17.34 |-The branch is then unsatisfiable % 49.23/17.34 |-Branch two: % 49.23/17.34 | (169) ~ (all_48_0_60 = 0) % 49.23/17.34 | (191) ? [v0] : ((v0 = 0 & convergent_lines(all_0_4_4, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0)) % 49.23/17.34 | % 49.23/17.34 +-Applying beta-rule and splitting (240), into two cases. % 49.23/17.34 |-Branch one: % 49.23/17.34 | (307) all_48_0_60 = 0 % 49.23/17.34 | % 49.23/17.34 | Equations (307) can reduce 169 to: % 49.23/17.34 | (189) $false % 49.23/17.34 | % 49.23/17.34 |-The branch is then unsatisfiable % 49.23/17.34 |-Branch two: % 49.23/17.34 | (169) ~ (all_48_0_60 = 0) % 49.23/17.34 | (314) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_46_1_59) = v0)) % 49.23/17.34 | % 49.23/17.34 +-Applying beta-rule and splitting (244), into two cases. % 49.23/17.34 |-Branch one: % 49.23/17.34 | (307) all_48_0_60 = 0 % 49.23/17.34 | % 49.23/17.34 | Equations (307) can reduce 169 to: % 49.23/17.34 | (189) $false % 49.23/17.34 | % 49.23/17.34 |-The branch is then unsatisfiable % 49.23/17.34 |-Branch two: % 49.23/17.34 | (169) ~ (all_48_0_60 = 0) % 49.23/17.34 | (318) all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_3_3) = 0) | (v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_46_1_59) = v0)) % 49.23/17.34 | % 49.23/17.34 +-Applying beta-rule and splitting (314), into two cases. % 49.23/17.34 |-Branch one: % 49.23/17.34 | (188) all_0_0_0 = 0 % 49.23/17.34 | % 49.23/17.34 | Equations (188) can reduce 18 to: % 49.23/17.34 | (189) $false % 49.23/17.34 | % 49.23/17.34 |-The branch is then unsatisfiable % 49.23/17.34 |-Branch two: % 49.23/17.34 | (18) ~ (all_0_0_0 = 0) % 49.23/17.34 | (322) ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_46_1_59) = v0)) % 49.23/17.34 | % 49.23/17.34 +-Applying beta-rule and splitting (268), into two cases. % 49.23/17.34 |-Branch one: % 49.23/17.34 | (323) all_63_0_78 = 0 % 49.23/17.34 | % 49.23/17.34 | Equations (323) can reduce 175 to: % 49.23/17.34 | (189) $false % 49.23/17.34 | % 49.23/17.34 |-The branch is then unsatisfiable % 49.23/17.34 |-Branch two: % 49.23/17.34 | (175) ~ (all_63_0_78 = 0) % 49.23/17.34 | (326) ? [v0] : ((v0 = 0 & convergent_lines(all_0_5_5, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_5_5) = v0)) % 49.23/17.34 | % 49.23/17.34 +-Applying beta-rule and splitting (305), into two cases. % 49.23/17.34 |-Branch one: % 49.23/17.34 | (327) all_42_0_53 = 0 % 49.23/17.34 | % 49.23/17.34 | Equations (327) can reduce 161 to: % 49.23/17.34 | (189) $false % 49.23/17.34 | % 49.23/17.34 |-The branch is then unsatisfiable % 49.23/17.34 |-Branch two: % 49.23/17.34 | (161) ~ (all_42_0_53 = 0) % 49.23/17.34 | (326) ? [v0] : ((v0 = 0 & convergent_lines(all_0_5_5, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_5_5) = v0)) % 49.23/17.34 | % 49.23/17.34 +-Applying beta-rule and splitting (238), into two cases. % 49.23/17.34 |-Branch one: % 49.23/17.34 | (331) all_46_0_58 = 0 % 49.23/17.34 | % 49.23/17.34 | Equations (331) can reduce 165 to: % 49.23/17.34 | (189) $false % 49.23/17.34 | % 49.23/17.34 |-The branch is then unsatisfiable % 49.23/17.34 |-Branch two: % 49.23/17.34 | (165) ~ (all_46_0_58 = 0) % 49.23/17.34 | (334) ? [v0] : ((v0 = 0 & convergent_lines(all_0_3_3, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_3_3) = v0)) % 49.23/17.34 | % 49.23/17.34 +-Applying beta-rule and splitting (250), into two cases. % 49.23/17.34 |-Branch one: % 49.23/17.34 | (335) all_65_0_80 = 0 % 49.23/17.34 | % 49.23/17.34 | Equations (335) can reduce 179 to: % 49.23/17.34 | (189) $false % 49.23/17.34 | % 49.23/17.34 |-The branch is then unsatisfiable % 49.23/17.34 |-Branch two: % 49.23/17.34 | (179) ~ (all_65_0_80 = 0) % 49.23/17.34 | (334) ? [v0] : ((v0 = 0 & convergent_lines(all_0_3_3, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_3_3) = v0)) % 49.23/17.34 | % 49.23/17.34 +-Applying beta-rule and splitting (284), into two cases. % 49.23/17.34 |-Branch one: % 49.23/17.34 | (339) all_52_0_64 = 0 % 49.23/17.34 | % 49.23/17.34 | Equations (339) can reduce 197 to: % 49.23/17.34 | (189) $false % 49.23/17.34 | % 49.23/17.34 |-The branch is then unsatisfiable % 49.23/17.34 |-Branch two: % 49.23/17.34 | (197) ~ (all_52_0_64 = 0) % 49.23/17.34 | (191) ? [v0] : ((v0 = 0 & convergent_lines(all_0_4_4, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0)) % 49.23/17.34 | % 49.23/17.34 +-Applying beta-rule and splitting (239), into two cases. % 49.23/17.34 |-Branch one: % 49.23/17.34 | (331) all_46_0_58 = 0 % 49.23/17.34 | % 49.23/17.34 | Equations (331) can reduce 165 to: % 49.23/17.34 | (189) $false % 49.23/17.34 | % 49.23/17.34 |-The branch is then unsatisfiable % 49.23/17.34 |-Branch two: % 49.23/17.34 | (165) ~ (all_46_0_58 = 0) % 49.23/17.34 | (346) ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_46_1_59) = v0)) % 49.23/17.34 | % 49.23/17.34 +-Applying beta-rule and splitting (234), into two cases. % 49.23/17.34 |-Branch one: % 49.23/17.34 | (331) all_46_0_58 = 0 % 49.23/17.34 | % 49.23/17.34 | Equations (331) can reduce 165 to: % 49.23/17.34 | (189) $false % 49.23/17.34 | % 49.23/17.34 |-The branch is then unsatisfiable % 49.23/17.34 |-Branch two: % 49.23/17.34 | (165) ~ (all_46_0_58 = 0) % 49.23/17.34 | (350) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_46_1_59) = v0)) % 49.23/17.34 | % 49.23/17.34 +-Applying beta-rule and splitting (242), into two cases. % 49.23/17.34 |-Branch one: % 49.23/17.34 | (307) all_48_0_60 = 0 % 49.23/17.34 | % 49.23/17.34 | Equations (307) can reduce 169 to: % 49.23/17.34 | (189) $false % 49.23/17.34 | % 49.23/17.34 |-The branch is then unsatisfiable % 49.23/17.34 |-Branch two: % 49.23/17.34 | (169) ~ (all_48_0_60 = 0) % 49.23/17.34 | (354) all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_4_4, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (235), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (331) all_46_0_58 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (331) can reduce 165 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (165) ~ (all_46_0_58 = 0) % 49.23/17.35 | (358) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_1_1) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (243), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (307) all_48_0_60 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (307) can reduce 169 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (169) ~ (all_48_0_60 = 0) % 49.23/17.35 | (362) all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_3_3) = 0) | (v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_46_1_59) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (236), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (331) all_46_0_58 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (331) can reduce 165 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (165) ~ (all_46_0_58 = 0) % 49.23/17.35 | (366) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_46_1_59) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (241), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (307) all_48_0_60 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (307) can reduce 169 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (169) ~ (all_48_0_60 = 0) % 49.23/17.35 | (370) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_1_1) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (350), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (188) all_0_0_0 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (188) can reduce 18 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (18) ~ (all_0_0_0 = 0) % 49.23/17.35 | (374) ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_46_1_59) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (354), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (331) all_46_0_58 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (331) can reduce 165 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (165) ~ (all_46_0_58 = 0) % 49.23/17.35 | (378) ? [v0] : ((v0 = 0 & convergent_lines(all_0_4_4, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (358), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (188) all_0_0_0 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (188) can reduce 18 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (18) ~ (all_0_0_0 = 0) % 49.23/17.35 | (382) ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_1_1) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (362), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (331) all_46_0_58 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (331) can reduce 165 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (165) ~ (all_46_0_58 = 0) % 49.23/17.35 | (386) ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_3_3) = 0) | (v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_46_1_59) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (264), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (335) all_65_0_80 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (335) can reduce 179 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (179) ~ (all_65_0_80 = 0) % 49.23/17.35 | (390) all_63_0_78 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_3_3, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_5_5) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (252), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (323) all_63_0_78 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (323) can reduce 175 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (175) ~ (all_63_0_78 = 0) % 49.23/17.35 | (394) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_4_4, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (253), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (323) all_63_0_78 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (323) can reduce 175 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (175) ~ (all_63_0_78 = 0) % 49.23/17.35 | (398) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_5_5, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (265), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (335) all_65_0_80 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (335) can reduce 179 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (179) ~ (all_65_0_80 = 0) % 49.23/17.35 | (402) all_63_0_78 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_5_5, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (251), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (335) all_65_0_80 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (335) can reduce 179 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (179) ~ (all_65_0_80 = 0) % 49.23/17.35 | (406) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (285), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (339) all_52_0_64 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (339) can reduce 197 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (197) ~ (all_52_0_64 = 0) % 49.23/17.35 | (410) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (301), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (339) all_52_0_64 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (339) can reduce 197 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (197) ~ (all_52_0_64 = 0) % 49.23/17.35 | (414) all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_4_4, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (302), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (339) all_52_0_64 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (339) can reduce 197 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (197) ~ (all_52_0_64 = 0) % 49.23/17.35 | (418) all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_5_5, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (306), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (327) all_42_0_53 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (327) can reduce 161 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (161) ~ (all_42_0_53 = 0) % 49.23/17.35 | (422) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (300), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (323) all_63_0_78 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (323) can reduce 175 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (175) ~ (all_63_0_78 = 0) % 49.23/17.35 | (426) all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_1_1) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (299), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (323) all_63_0_78 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (323) can reduce 175 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (175) ~ (all_63_0_78 = 0) % 49.23/17.35 | (430) all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (283), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (323) all_63_0_78 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (323) can reduce 175 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (175) ~ (all_63_0_78 = 0) % 49.23/17.35 | (434) all_52_0_64 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_1_1) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (280), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (323) all_63_0_78 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (323) can reduce 175 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (175) ~ (all_63_0_78 = 0) % 49.23/17.35 | (438) all_52_0_64 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (266), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (335) all_65_0_80 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (335) can reduce 179 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (179) ~ (all_65_0_80 = 0) % 49.23/17.35 | (442) all_63_0_78 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (254), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (323) all_63_0_78 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (323) can reduce 175 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (175) ~ (all_63_0_78 = 0) % 49.23/17.35 | (446) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (255), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (323) all_63_0_78 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (323) can reduce 175 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (175) ~ (all_63_0_78 = 0) % 49.23/17.35 | (450) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (267), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (335) all_65_0_80 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (335) can reduce 179 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (179) ~ (all_65_0_80 = 0) % 49.23/17.35 | (454) all_63_0_78 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (281), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (323) all_63_0_78 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (323) can reduce 175 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (175) ~ (all_63_0_78 = 0) % 49.23/17.35 | (458) all_52_0_64 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_1_1) = v0)) % 49.23/17.35 | % 49.23/17.35 +-Applying beta-rule and splitting (282), into two cases. % 49.23/17.35 |-Branch one: % 49.23/17.35 | (323) all_63_0_78 = 0 % 49.23/17.35 | % 49.23/17.35 | Equations (323) can reduce 175 to: % 49.23/17.35 | (189) $false % 49.23/17.35 | % 49.23/17.35 |-The branch is then unsatisfiable % 49.23/17.35 |-Branch two: % 49.23/17.35 | (175) ~ (all_63_0_78 = 0) % 49.23/17.35 | (462) all_52_0_64 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.35 | % 49.23/17.36 +-Applying beta-rule and splitting (256), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (323) all_63_0_78 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (323) can reduce 175 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (175) ~ (all_63_0_78 = 0) % 49.23/17.36 | (466) all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_1_1) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (257), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (323) all_63_0_78 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (323) can reduce 175 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (175) ~ (all_63_0_78 = 0) % 49.23/17.36 | (470) all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_46_1_59) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (258), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (323) all_63_0_78 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (323) can reduce 175 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (175) ~ (all_63_0_78 = 0) % 49.23/17.36 | (474) all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_1_1) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (259), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (323) all_63_0_78 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (323) can reduce 175 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (175) ~ (all_63_0_78 = 0) % 49.23/17.36 | (478) all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_46_1_59) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (318), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (331) all_46_0_58 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (331) can reduce 165 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (165) ~ (all_46_0_58 = 0) % 49.23/17.36 | (482) ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_3_3) = 0) | (v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_46_1_59) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (366), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (188) all_0_0_0 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (188) can reduce 18 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (18) ~ (all_0_0_0 = 0) % 49.23/17.36 | (486) ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_46_1_59) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (249), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (487) distinct_points(all_0_2_2, all_0_1_1) = 0 % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (402), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (323) all_63_0_78 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (323) can reduce 175 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (175) ~ (all_63_0_78 = 0) % 49.23/17.36 | (491) ? [v0] : ((v0 = 0 & convergent_lines(all_0_5_5, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (414), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (327) all_42_0_53 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (327) can reduce 161 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (161) ~ (all_42_0_53 = 0) % 49.23/17.36 | (495) ? [v0] : ((v0 = 0 & convergent_lines(all_0_4_4, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (418), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (327) all_42_0_53 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (327) can reduce 161 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (161) ~ (all_42_0_53 = 0) % 49.23/17.36 | (499) ? [v0] : ((v0 = 0 & convergent_lines(all_0_5_5, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (470), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (331) all_46_0_58 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (331) can reduce 165 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (165) ~ (all_46_0_58 = 0) % 49.23/17.36 | (503) ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_46_1_59) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (474), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (331) all_46_0_58 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (331) can reduce 165 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (165) ~ (all_46_0_58 = 0) % 49.23/17.36 | (507) ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_1_1) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (462), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (339) all_52_0_64 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (339) can reduce 197 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (197) ~ (all_52_0_64 = 0) % 49.23/17.36 | (511) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (269), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (323) all_63_0_78 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (323) can reduce 175 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (175) ~ (all_63_0_78 = 0) % 49.23/17.36 | (515) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (277), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (335) all_65_0_80 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (335) can reduce 179 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (179) ~ (all_65_0_80 = 0) % 49.23/17.36 | (519) all_52_0_64 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (278), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (335) all_65_0_80 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (335) can reduce 179 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (179) ~ (all_65_0_80 = 0) % 49.23/17.36 | (523) all_52_0_64 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_1_1) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (274), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (339) all_52_0_64 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (339) can reduce 197 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (197) ~ (all_52_0_64 = 0) % 49.23/17.36 | (527) all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_2_2) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (275), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (339) all_52_0_64 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (339) can reduce 197 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (197) ~ (all_52_0_64 = 0) % 49.23/17.36 | (531) all_48_0_60 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_2_2) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (276), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (339) all_52_0_64 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (339) can reduce 197 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (197) ~ (all_52_0_64 = 0) % 49.23/17.36 | (535) all_48_0_60 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_46_1_59) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (279), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (335) all_65_0_80 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (335) can reduce 179 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (179) ~ (all_65_0_80 = 0) % 49.23/17.36 | (539) all_52_0_64 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (262), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (323) all_63_0_78 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (323) can reduce 175 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (175) ~ (all_63_0_78 = 0) % 49.23/17.36 | (543) all_48_0_60 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_1_1) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (260), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (323) all_63_0_78 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (323) can reduce 175 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (175) ~ (all_63_0_78 = 0) % 49.23/17.36 | (547) all_48_0_60 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_1_1) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (261), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (323) all_63_0_78 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (323) can reduce 175 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (175) ~ (all_63_0_78 = 0) % 49.23/17.36 | (551) all_48_0_60 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_46_1_59) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (263), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (323) all_63_0_78 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (323) can reduce 175 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (175) ~ (all_63_0_78 = 0) % 49.23/17.36 | (555) all_48_0_60 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_46_1_59) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (271), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (339) all_52_0_64 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (339) can reduce 197 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (197) ~ (all_52_0_64 = 0) % 49.23/17.36 | (559) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_1_1) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (270), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (339) all_52_0_64 = 0 % 49.23/17.36 | % 49.23/17.36 | Equations (339) can reduce 197 to: % 49.23/17.36 | (189) $false % 49.23/17.36 | % 49.23/17.36 |-The branch is then unsatisfiable % 49.23/17.36 |-Branch two: % 49.23/17.36 | (197) ~ (all_52_0_64 = 0) % 49.23/17.36 | (563) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.36 | % 49.23/17.36 +-Applying beta-rule and splitting (303), into two cases. % 49.23/17.36 |-Branch one: % 49.23/17.36 | (339) all_52_0_64 = 0 % 49.23/17.36 | % 49.23/17.37 | Equations (339) can reduce 197 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (197) ~ (all_52_0_64 = 0) % 49.23/17.37 | (567) all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (292), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (307) all_48_0_60 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (307) can reduce 169 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (169) ~ (all_48_0_60 = 0) % 49.23/17.37 | (571) all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_2_2) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (293), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (307) all_48_0_60 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (307) can reduce 169 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (169) ~ (all_48_0_60 = 0) % 49.23/17.37 | (575) all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_46_1_59) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (294), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (307) all_48_0_60 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (307) can reduce 169 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (169) ~ (all_48_0_60 = 0) % 49.23/17.37 | (579) all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_2_2) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (295), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (307) all_48_0_60 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (307) can reduce 169 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (169) ~ (all_48_0_60 = 0) % 49.23/17.37 | (583) all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_46_1_59) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (298), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (335) all_65_0_80 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (335) can reduce 179 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (179) ~ (all_65_0_80 = 0) % 49.23/17.37 | (587) all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (296), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (335) all_65_0_80 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (335) can reduce 179 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (179) ~ (all_65_0_80 = 0) % 49.23/17.37 | (591) all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (297), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (335) all_65_0_80 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (335) can reduce 179 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (179) ~ (all_65_0_80 = 0) % 49.23/17.37 | (595) all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_1_1) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (304), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (339) all_52_0_64 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (339) can reduce 197 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (197) ~ (all_52_0_64 = 0) % 49.23/17.37 | (599) all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (370), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (188) all_0_0_0 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (188) can reduce 18 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (18) ~ (all_0_0_0 = 0) % 49.23/17.37 | (603) ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_1_1) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (394), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (188) all_0_0_0 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (188) can reduce 18 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (18) ~ (all_0_0_0 = 0) % 49.23/17.37 | (495) ? [v0] : ((v0 = 0 & convergent_lines(all_0_4_4, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (398), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (188) all_0_0_0 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (188) can reduce 18 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (18) ~ (all_0_0_0 = 0) % 49.23/17.37 | (499) ? [v0] : ((v0 = 0 & convergent_lines(all_0_5_5, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (426), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (327) all_42_0_53 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (327) can reduce 161 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (161) ~ (all_42_0_53 = 0) % 49.23/17.37 | (615) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_1_1) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (434), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (339) all_52_0_64 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (339) can reduce 197 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (197) ~ (all_52_0_64 = 0) % 49.23/17.37 | (619) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_1_1) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (438), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (339) all_52_0_64 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (339) can reduce 197 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (197) ~ (all_52_0_64 = 0) % 49.23/17.37 | (623) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (246), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (335) all_65_0_80 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (335) can reduce 179 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (179) ~ (all_65_0_80 = 0) % 49.23/17.37 | (627) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_4_4, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (290), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (331) all_46_0_58 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (331) can reduce 165 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (165) ~ (all_46_0_58 = 0) % 49.23/17.37 | (631) all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_46_1_59) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (247), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (335) all_65_0_80 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (335) can reduce 179 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (179) ~ (all_65_0_80 = 0) % 49.23/17.37 | (635) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (248), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (335) all_65_0_80 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (335) can reduce 179 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (179) ~ (all_65_0_80 = 0) % 49.23/17.37 | (639) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (289), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (331) all_46_0_58 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (331) can reduce 165 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (165) ~ (all_46_0_58 = 0) % 49.23/17.37 | (643) all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_2_2) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (291), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (331) all_46_0_58 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (331) can reduce 165 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (165) ~ (all_46_0_58 = 0) % 49.23/17.37 | (647) all_42_0_53 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_2_2) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (287), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (327) all_42_0_53 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (327) can reduce 161 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (161) ~ (all_42_0_53 = 0) % 49.23/17.37 | (651) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (288), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (327) all_42_0_53 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (327) can reduce 161 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (161) ~ (all_42_0_53 = 0) % 49.23/17.37 | (655) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_1_1) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (286), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (327) all_42_0_53 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (327) can reduce 161 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (161) ~ (all_42_0_53 = 0) % 49.23/17.37 | (659) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (237), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (331) all_46_0_58 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (331) can reduce 165 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (165) ~ (all_46_0_58 = 0) % 49.23/17.37 | (663) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_1_1) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (519), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (339) all_52_0_64 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (339) can reduce 197 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (197) ~ (all_52_0_64 = 0) % 49.23/17.37 | (667) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (563), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (188) all_0_0_0 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (188) can reduce 18 to: % 49.23/17.37 | (189) $false % 49.23/17.37 | % 49.23/17.37 |-The branch is then unsatisfiable % 49.23/17.37 |-Branch two: % 49.23/17.37 | (18) ~ (all_0_0_0 = 0) % 49.23/17.37 | (671) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.37 | % 49.23/17.37 +-Applying beta-rule and splitting (567), into two cases. % 49.23/17.37 |-Branch one: % 49.23/17.37 | (327) all_42_0_53 = 0 % 49.23/17.37 | % 49.23/17.37 | Equations (327) can reduce 161 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (161) ~ (all_42_0_53 = 0) % 49.23/17.38 | (675) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (575), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (327) all_42_0_53 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (327) can reduce 161 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (161) ~ (all_42_0_53 = 0) % 49.23/17.38 | (679) ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_46_1_59) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (583), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (327) all_42_0_53 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (327) can reduce 161 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (161) ~ (all_42_0_53 = 0) % 49.23/17.38 | (683) ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_46_1_59) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (587), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (327) all_42_0_53 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (327) can reduce 161 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (161) ~ (all_42_0_53 = 0) % 49.23/17.38 | (687) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (591), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (327) all_42_0_53 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (327) can reduce 161 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (161) ~ (all_42_0_53 = 0) % 49.23/17.38 | (691) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (595), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (327) all_42_0_53 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (327) can reduce 161 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (161) ~ (all_42_0_53 = 0) % 49.23/17.38 | (695) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_1_1) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (390), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (323) all_63_0_78 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (323) can reduce 175 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (175) ~ (all_63_0_78 = 0) % 49.23/17.38 | (699) ? [v0] : ((v0 = 0 & convergent_lines(all_0_3_3, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_5_5) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (430), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (327) all_42_0_53 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (327) can reduce 161 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (161) ~ (all_42_0_53 = 0) % 49.23/17.38 | (703) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (454), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (323) all_63_0_78 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (323) can reduce 175 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (175) ~ (all_63_0_78 = 0) % 49.23/17.38 | (707) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (458), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (339) all_52_0_64 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (339) can reduce 197 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (197) ~ (all_52_0_64 = 0) % 49.23/17.38 | (711) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_1_1) = v0)) % 49.23/17.38 | % 49.23/17.38 | Instantiating (711) with all_589_0_6147 yields: % 49.23/17.38 | (712) (all_589_0_6147 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (all_589_0_6147 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (all_589_0_6147 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = all_589_0_6147) | ( ~ (all_589_0_6147 = 0) & distinct_points(all_0_2_2, all_0_1_1) = all_589_0_6147) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (627), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (188) all_0_0_0 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (188) can reduce 18 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (18) ~ (all_0_0_0 = 0) % 49.23/17.38 | (378) ? [v0] : ((v0 = 0 & convergent_lines(all_0_4_4, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (631), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (327) all_42_0_53 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (327) can reduce 161 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (161) ~ (all_42_0_53 = 0) % 49.23/17.38 | (720) ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_46_1_59) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (635), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (188) all_0_0_0 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (188) can reduce 18 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (18) ~ (all_0_0_0 = 0) % 49.23/17.38 | (724) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (639), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (188) all_0_0_0 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (188) can reduce 18 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (18) ~ (all_0_0_0 = 0) % 49.23/17.38 | (728) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (643), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (327) all_42_0_53 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (327) can reduce 161 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (161) ~ (all_42_0_53 = 0) % 49.23/17.38 | (732) ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_2_2) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (647), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (327) all_42_0_53 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (327) can reduce 161 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (161) ~ (all_42_0_53 = 0) % 49.23/17.38 | (736) ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_2_2) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (655), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (188) all_0_0_0 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (188) can reduce 18 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (18) ~ (all_0_0_0 = 0) % 49.23/17.38 | (740) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_1_1) = v0)) % 49.23/17.38 | % 49.23/17.38 | Instantiating (740) with all_625_0_6156 yields: % 49.23/17.38 | (741) (all_625_0_6156 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (all_625_0_6156 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (all_625_0_6156 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = all_625_0_6156) | ( ~ (all_625_0_6156 = 0) & distinct_points(all_0_2_2, all_0_1_1) = all_625_0_6156) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (659), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (188) all_0_0_0 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (188) can reduce 18 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (18) ~ (all_0_0_0 = 0) % 49.23/17.38 | (745) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (663), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (188) all_0_0_0 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (188) can reduce 18 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (18) ~ (all_0_0_0 = 0) % 49.23/17.38 | (749) ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_1_1) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (272), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (339) all_52_0_64 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (339) can reduce 197 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (197) ~ (all_52_0_64 = 0) % 49.23/17.38 | (753) all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_3_3, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_2_2) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (273), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (339) all_52_0_64 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (339) can reduce 197 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (197) ~ (all_52_0_64 = 0) % 49.23/17.38 | (757) all_46_0_58 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_46_1_59) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (446), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (188) all_0_0_0 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (188) can reduce 18 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (18) ~ (all_0_0_0 = 0) % 49.23/17.38 | (761) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (450), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (188) all_0_0_0 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (188) can reduce 18 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (18) ~ (all_0_0_0 = 0) % 49.23/17.38 | (765) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_1_1) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (741), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (766) (all_625_0_6156 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (all_625_0_6156 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (all_625_0_6156 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = all_625_0_6156) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (766), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (767) (all_625_0_6156 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (all_625_0_6156 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (767), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (768) all_625_0_6156 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0 % 49.23/17.38 | % 49.23/17.38 | Applying alpha-rule on (768) yields: % 49.23/17.38 | (769) all_625_0_6156 = 0 % 49.23/17.38 | (770) apart_point_and_line(all_0_1_1, all_0_5_5) = 0 % 49.23/17.38 | % 49.23/17.38 | Instantiating formula (129) with all_0_1_1, all_0_5_5, 0, all_63_0_78 and discharging atoms apart_point_and_line(all_0_1_1, all_0_5_5) = all_63_0_78, apart_point_and_line(all_0_1_1, all_0_5_5) = 0, yields: % 49.23/17.38 | (323) all_63_0_78 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (323) can reduce 175 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (773) all_625_0_6156 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0 % 49.23/17.38 | % 49.23/17.38 | Applying alpha-rule on (773) yields: % 49.23/17.38 | (769) all_625_0_6156 = 0 % 49.23/17.38 | (775) apart_point_and_line(all_0_2_2, all_0_4_4) = 0 % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (523), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (339) all_52_0_64 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (339) can reduce 197 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (197) ~ (all_52_0_64 = 0) % 49.23/17.38 | (779) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_1_1) = v0)) % 49.23/17.38 | % 49.23/17.38 +-Applying beta-rule and splitting (539), into two cases. % 49.23/17.38 |-Branch one: % 49.23/17.38 | (339) all_52_0_64 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (339) can reduce 197 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (197) ~ (all_52_0_64 = 0) % 49.23/17.38 | (783) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_3_3) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_3_3) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.38 | % 49.23/17.38 | Instantiating formula (129) with all_0_2_2, all_0_4_4, 0, all_52_0_64 and discharging atoms apart_point_and_line(all_0_2_2, all_0_4_4) = all_52_0_64, apart_point_and_line(all_0_2_2, all_0_4_4) = 0, yields: % 49.23/17.38 | (339) all_52_0_64 = 0 % 49.23/17.38 | % 49.23/17.38 | Equations (339) can reduce 197 to: % 49.23/17.38 | (189) $false % 49.23/17.38 | % 49.23/17.38 |-The branch is then unsatisfiable % 49.23/17.38 |-Branch two: % 49.23/17.38 | (786) ~ (all_625_0_6156 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = all_625_0_6156 % 49.23/17.39 | % 49.23/17.39 | Applying alpha-rule on (786) yields: % 49.23/17.39 | (787) ~ (all_625_0_6156 = 0) % 49.23/17.39 | (788) distinct_lines(all_0_4_4, all_0_5_5) = all_625_0_6156 % 49.23/17.39 | % 49.23/17.39 +-Applying beta-rule and splitting (571), into two cases. % 49.23/17.39 |-Branch one: % 49.23/17.39 | (327) all_42_0_53 = 0 % 49.23/17.39 | % 49.23/17.39 | Equations (327) can reduce 161 to: % 49.23/17.39 | (189) $false % 49.23/17.39 | % 49.23/17.39 |-The branch is then unsatisfiable % 49.23/17.39 |-Branch two: % 49.23/17.39 | (161) ~ (all_42_0_53 = 0) % 49.23/17.39 | (792) ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_2_2) = v0)) % 49.23/17.39 | % 49.23/17.39 +-Applying beta-rule and splitting (579), into two cases. % 49.23/17.39 |-Branch one: % 49.23/17.39 | (327) all_42_0_53 = 0 % 49.23/17.39 | % 49.23/17.39 | Equations (327) can reduce 161 to: % 49.23/17.39 | (189) $false % 49.23/17.39 | % 49.23/17.39 |-The branch is then unsatisfiable % 49.23/17.39 |-Branch two: % 49.23/17.39 | (161) ~ (all_42_0_53 = 0) % 49.23/17.39 | (796) ? [v0] : ((v0 = 0 & apart_point_and_line(all_46_1_59, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_46_1_59, all_0_2_2) = v0)) % 49.23/17.39 | % 49.23/17.39 +-Applying beta-rule and splitting (599), into two cases. % 49.23/17.39 |-Branch one: % 49.23/17.39 | (327) all_42_0_53 = 0 % 49.23/17.39 | % 49.23/17.39 | Equations (327) can reduce 161 to: % 49.23/17.39 | (189) $false % 49.23/17.39 | % 49.23/17.39 |-The branch is then unsatisfiable % 49.23/17.39 |-Branch two: % 49.23/17.39 | (161) ~ (all_42_0_53 = 0) % 49.23/17.39 | (800) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0)) % 49.23/17.39 | % 49.23/17.39 +-Applying beta-rule and splitting (651), into two cases. % 49.23/17.39 |-Branch one: % 49.23/17.39 | (188) all_0_0_0 = 0 % 49.23/17.39 | % 49.23/17.39 | Equations (188) can reduce 18 to: % 49.23/17.39 | (189) $false % 49.23/17.39 | % 49.23/17.39 |-The branch is then unsatisfiable % 49.23/17.39 |-Branch two: % 49.23/17.39 | (18) ~ (all_0_0_0 = 0) % 49.23/17.39 | (804) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_1_1, all_0_5_5) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_4_4) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_5_5, all_0_4_4) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_1_1, all_0_2_2) = v0)) % 49.23/17.39 | % 49.23/17.39 +-Applying beta-rule and splitting (712), into two cases. % 49.23/17.39 |-Branch one: % 49.23/17.39 | (805) (all_589_0_6147 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (all_589_0_6147 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) | ( ~ (all_589_0_6147 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = all_589_0_6147) % 49.23/17.39 | % 49.23/17.39 +-Applying beta-rule and splitting (805), into two cases. % 49.23/17.39 |-Branch one: % 49.23/17.39 | (806) (all_589_0_6147 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0) | (all_589_0_6147 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0) % 49.23/17.39 | % 49.23/17.39 +-Applying beta-rule and splitting (806), into two cases. % 49.23/17.39 |-Branch one: % 49.23/17.39 | (807) all_589_0_6147 = 0 & apart_point_and_line(all_0_1_1, all_0_4_4) = 0 % 49.23/17.39 | % 49.23/17.39 | Applying alpha-rule on (807) yields: % 49.23/17.39 | (808) all_589_0_6147 = 0 % 49.23/17.39 | (809) apart_point_and_line(all_0_1_1, all_0_4_4) = 0 % 49.23/17.39 | % 49.23/17.39 | Instantiating formula (129) with all_0_1_1, all_0_4_4, 0, all_0_0_0 and discharging atoms apart_point_and_line(all_0_1_1, all_0_4_4) = all_0_0_0, apart_point_and_line(all_0_1_1, all_0_4_4) = 0, yields: % 49.23/17.39 | (188) all_0_0_0 = 0 % 49.23/17.39 | % 49.23/17.39 | Equations (188) can reduce 18 to: % 49.23/17.39 | (189) $false % 49.23/17.39 | % 49.23/17.39 |-The branch is then unsatisfiable % 49.23/17.39 |-Branch two: % 49.23/17.39 | (812) all_589_0_6147 = 0 & apart_point_and_line(all_0_2_2, all_0_5_5) = 0 % 49.23/17.39 | % 49.23/17.39 | Applying alpha-rule on (812) yields: % 49.23/17.39 | (808) all_589_0_6147 = 0 % 49.23/17.39 | (814) apart_point_and_line(all_0_2_2, all_0_5_5) = 0 % 49.23/17.39 | % 49.23/17.39 | Instantiating formula (129) with all_0_2_2, all_0_5_5, 0, all_42_0_53 and discharging atoms apart_point_and_line(all_0_2_2, all_0_5_5) = all_42_0_53, apart_point_and_line(all_0_2_2, all_0_5_5) = 0, yields: % 49.23/17.39 | (327) all_42_0_53 = 0 % 49.23/17.39 | % 49.23/17.39 | Equations (327) can reduce 161 to: % 49.23/17.39 | (189) $false % 49.23/17.39 | % 49.23/17.39 |-The branch is then unsatisfiable % 49.23/17.39 |-Branch two: % 49.23/17.39 | (817) ~ (all_589_0_6147 = 0) & distinct_lines(all_0_4_4, all_0_5_5) = all_589_0_6147 % 49.23/17.39 | % 49.23/17.39 | Applying alpha-rule on (817) yields: % 49.23/17.39 | (818) ~ (all_589_0_6147 = 0) % 49.23/17.39 | (819) distinct_lines(all_0_4_4, all_0_5_5) = all_589_0_6147 % 49.23/17.39 | % 49.23/17.39 | Instantiating formula (127) with all_0_4_4, all_0_5_5, all_589_0_6147, all_625_0_6156 and discharging atoms distinct_lines(all_0_4_4, all_0_5_5) = all_625_0_6156, distinct_lines(all_0_4_4, all_0_5_5) = all_589_0_6147, yields: % 49.23/17.39 | (820) all_625_0_6156 = all_589_0_6147 % 49.23/17.39 | % 49.23/17.39 | Equations (820) can reduce 787 to: % 49.23/17.39 | (818) ~ (all_589_0_6147 = 0) % 49.23/17.39 | % 49.23/17.39 | From (820) and (788) follows: % 49.23/17.39 | (819) distinct_lines(all_0_4_4, all_0_5_5) = all_589_0_6147 % 49.23/17.39 | % 49.23/17.39 | Instantiating formula (15) with all_589_0_6147, all_0_5_5, all_0_4_4, all_0_5_5 and discharging atoms convergent_lines(all_0_5_5, all_0_4_4) = 0, distinct_lines(all_0_4_4, all_0_5_5) = all_589_0_6147, yields: % 49.23/17.39 | (823) all_589_0_6147 = 0 | convergent_lines(all_0_5_5, all_0_5_5) = 0 % 49.23/17.39 | % 49.23/17.39 +-Applying beta-rule and splitting (823), into two cases. % 49.23/17.39 |-Branch one: % 49.23/17.39 | (824) convergent_lines(all_0_5_5, all_0_5_5) = 0 % 49.23/17.39 | % 49.23/17.39 | Instantiating formula (87) with all_0_5_5 and discharging atoms convergent_lines(all_0_5_5, all_0_5_5) = 0, yields: % 49.23/17.39 | (825) $false % 49.23/17.39 | % 49.23/17.39 |-The branch is then unsatisfiable % 49.23/17.39 |-Branch two: % 49.23/17.39 | (826) ~ (convergent_lines(all_0_5_5, all_0_5_5) = 0) % 49.23/17.39 | (808) all_589_0_6147 = 0 % 49.23/17.39 | % 49.23/17.39 | Equations (808) can reduce 818 to: % 49.23/17.39 | (189) $false % 49.23/17.39 | % 49.23/17.39 |-The branch is then unsatisfiable % 49.23/17.39 |-Branch two: % 49.23/17.39 | (829) ~ (all_589_0_6147 = 0) & distinct_points(all_0_2_2, all_0_1_1) = all_589_0_6147 % 49.23/17.39 | % 49.23/17.39 | Applying alpha-rule on (829) yields: % 49.23/17.39 | (818) ~ (all_589_0_6147 = 0) % 49.23/17.39 | (831) distinct_points(all_0_2_2, all_0_1_1) = all_589_0_6147 % 49.23/17.39 | % 49.23/17.39 | Instantiating formula (56) with all_0_2_2, all_0_1_1, 0, all_589_0_6147 and discharging atoms distinct_points(all_0_2_2, all_0_1_1) = all_589_0_6147, distinct_points(all_0_2_2, all_0_1_1) = 0, yields: % 49.23/17.39 | (808) all_589_0_6147 = 0 % 49.23/17.39 | % 49.23/17.39 | Equations (808) can reduce 818 to: % 49.23/17.39 | (189) $false % 49.23/17.39 | % 49.23/17.39 |-The branch is then unsatisfiable % 49.23/17.39 |-Branch two: % 49.23/17.39 | (834) ~ (all_625_0_6156 = 0) & distinct_points(all_0_2_2, all_0_1_1) = all_625_0_6156 % 49.23/17.39 | % 49.23/17.39 | Applying alpha-rule on (834) yields: % 49.23/17.39 | (787) ~ (all_625_0_6156 = 0) % 49.23/17.39 | (836) distinct_points(all_0_2_2, all_0_1_1) = all_625_0_6156 % 49.23/17.39 | % 49.23/17.39 | Instantiating formula (56) with all_0_2_2, all_0_1_1, 0, all_625_0_6156 and discharging atoms distinct_points(all_0_2_2, all_0_1_1) = all_625_0_6156, distinct_points(all_0_2_2, all_0_1_1) = 0, yields: % 49.23/17.39 | (769) all_625_0_6156 = 0 % 49.23/17.39 | % 49.23/17.39 | Equations (769) can reduce 787 to: % 49.23/17.39 | (189) $false % 49.23/17.39 | % 49.23/17.39 |-The branch is then unsatisfiable % 49.23/17.39 |-Branch two: % 49.23/17.39 | (839) ~ (distinct_points(all_0_2_2, all_0_1_1) = 0) % 49.23/17.39 | (335) all_65_0_80 = 0 % 49.23/17.39 | % 49.23/17.39 | Equations (335) can reduce 179 to: % 49.23/17.39 | (189) $false % 49.23/17.39 | % 49.23/17.39 |-The branch is then unsatisfiable % 49.23/17.39 |-Branch two: % 49.23/17.39 | (842) ~ (all_68_0_83 = 0) & convergent_lines(all_0_5_5, all_0_3_3) = all_68_0_83 % 49.23/17.39 | % 49.23/17.39 | Applying alpha-rule on (842) yields: % 49.23/17.39 | (206) ~ (all_68_0_83 = 0) % 49.23/17.39 | (844) convergent_lines(all_0_5_5, all_0_3_3) = all_68_0_83 % 49.23/17.39 | % 49.23/17.39 | Instantiating formula (125) with all_0_5_5, all_0_3_3, all_68_0_83, 0 and discharging atoms convergent_lines(all_0_5_5, all_0_3_3) = all_68_0_83, convergent_lines(all_0_5_5, all_0_3_3) = 0, yields: % 49.23/17.39 | (845) all_68_0_83 = 0 % 49.23/17.39 | % 49.23/17.39 | Equations (845) can reduce 206 to: % 49.23/17.39 | (189) $false % 49.23/17.39 | % 49.23/17.39 |-The branch is then unsatisfiable % 49.23/17.39 |-Branch two: % 49.23/17.39 | (847) ~ (all_73_0_89 = 0) & convergent_lines(all_0_5_5, all_0_3_3) = all_73_0_89 % 49.23/17.39 | % 49.23/17.39 | Applying alpha-rule on (847) yields: % 49.23/17.39 | (203) ~ (all_73_0_89 = 0) % 49.23/17.39 | (849) convergent_lines(all_0_5_5, all_0_3_3) = all_73_0_89 % 49.23/17.39 | % 49.23/17.39 | Instantiating formula (125) with all_0_5_5, all_0_3_3, all_73_0_89, 0 and discharging atoms convergent_lines(all_0_5_5, all_0_3_3) = all_73_0_89, convergent_lines(all_0_5_5, all_0_3_3) = 0, yields: % 49.23/17.39 | (850) all_73_0_89 = 0 % 49.23/17.39 | % 49.23/17.39 | Equations (850) can reduce 203 to: % 49.23/17.39 | (189) $false % 49.23/17.39 | % 49.23/17.39 |-The branch is then unsatisfiable % 49.23/17.39 |-Branch two: % 49.23/17.39 | (852) ~ (all_51_0_63 = 0) & convergent_lines(all_0_5_5, all_0_4_4) = all_51_0_63 % 49.23/17.39 | % 49.23/17.39 | Applying alpha-rule on (852) yields: % 49.23/17.39 | (200) ~ (all_51_0_63 = 0) % 49.23/17.39 | (854) convergent_lines(all_0_5_5, all_0_4_4) = all_51_0_63 % 49.23/17.39 | % 49.23/17.39 | Instantiating formula (125) with all_0_5_5, all_0_4_4, all_51_0_63, 0 and discharging atoms convergent_lines(all_0_5_5, all_0_4_4) = all_51_0_63, convergent_lines(all_0_5_5, all_0_4_4) = 0, yields: % 49.23/17.39 | (855) all_51_0_63 = 0 % 49.23/17.39 | % 49.23/17.39 | Equations (855) can reduce 200 to: % 49.23/17.39 | (189) $false % 49.23/17.39 | % 49.23/17.39 |-The branch is then unsatisfiable % 49.23/17.39 |-Branch two: % 49.23/17.39 | (857) ~ (all_52_0_64 = 0) & convergent_lines(all_0_5_5, all_0_4_4) = all_52_0_64 % 49.23/17.39 | % 49.23/17.39 | Applying alpha-rule on (857) yields: % 49.23/17.39 | (197) ~ (all_52_0_64 = 0) % 49.23/17.39 | (859) convergent_lines(all_0_5_5, all_0_4_4) = all_52_0_64 % 49.23/17.39 | % 49.23/17.39 | Instantiating formula (125) with all_0_5_5, all_0_4_4, all_52_0_64, 0 and discharging atoms convergent_lines(all_0_5_5, all_0_4_4) = all_52_0_64, convergent_lines(all_0_5_5, all_0_4_4) = 0, yields: % 49.23/17.39 | (339) all_52_0_64 = 0 % 49.23/17.39 | % 49.23/17.39 | Equations (339) can reduce 197 to: % 49.23/17.39 | (189) $false % 49.23/17.39 | % 49.23/17.39 |-The branch is then unsatisfiable % 49.23/17.39 % SZS output end Proof for theBenchmark % 49.23/17.39 % 49.23/17.39 16749ms %------------------------------------------------------------------------------