%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : GEO181+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n018.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 03:48:18 EDT 2022 % Result : Theorem 19.54s 5.26s % Output : Proof 31.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO181+3 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.34 % Computer : n018.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 17:52:48 EDT 2022 % 0.13/0.34 % CPUTime : % 0.47/0.60 ____ _ % 0.47/0.60 ___ / __ \_____(_)___ ________ __________ % 0.47/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.47/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.47/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.47/0.60 % 0.47/0.60 A Theorem Prover for First-Order Logic % 0.47/0.60 (ePrincess v.1.0) % 0.47/0.60 % 0.47/0.60 (c) Philipp Rümmer, 2009-2015 % 0.47/0.60 (c) Peter Backeman, 2014-2015 % 0.47/0.60 (contributions by Angelo Brillout, Peter Baumgartner) % 0.47/0.60 Free software under GNU Lesser General Public License (LGPL). % 0.47/0.60 Bug reports to peter@backeman.se % 0.47/0.60 % 0.47/0.60 For more information, visit http://user.uu.se/~petba168/breu/ % 0.47/0.60 % 0.47/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.68/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.80/0.98 Prover 0: Preprocessing ... % 2.38/1.19 Prover 0: Warning: ignoring some quantifiers % 2.38/1.22 Prover 0: Constructing countermodel ... % 13.96/3.98 Prover 0: gave up % 13.96/3.98 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 14.31/4.05 Prover 1: Preprocessing ... % 15.12/4.22 Prover 1: Constructing countermodel ... % 15.31/4.28 Prover 1: gave up % 15.31/4.28 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 15.64/4.31 Prover 2: Preprocessing ... % 16.68/4.57 Prover 2: Warning: ignoring some quantifiers % 16.68/4.58 Prover 2: Constructing countermodel ... % 19.54/5.26 Prover 2: proved (980ms) % 19.54/5.26 % 19.54/5.26 No countermodel exists, formula is valid % 19.54/5.26 % SZS status Theorem for theBenchmark % 19.54/5.26 % 19.54/5.26 Generating proof ... Warning: ignoring some quantifiers % 29.54/7.66 found it (size 1045) % 29.54/7.66 % 29.54/7.66 % SZS output start Proof for theBenchmark % 29.54/7.66 Assumed formulas after preprocessing and simplification: % 29.54/7.66 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & line_connecting(v0, v2) = v4 & line_connecting(v0, v1) = v3 & apart_point_and_line(v2, v3) = 0 & apart_point_and_line(v1, v4) = v5 & distinct_points(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) % 30.21/7.75 | 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: % 30.21/7.75 | (1) ~ (all_0_0_0 = 0) & line_connecting(all_0_5_5, all_0_3_3) = all_0_1_1 & line_connecting(all_0_5_5, all_0_4_4) = all_0_2_2 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0 & distinct_points(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 % 30.21/7.79 | % 30.21/7.79 | Applying alpha-rule on (1) yields: % 30.21/7.79 | (2) ? [v0] : ? [v1] : ? [v2] : incident_point_and_line(v1, v0) = v2 % 30.21/7.79 | (3) ! [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))) % 30.21/7.79 | (4) ! [v0] : ~ (distinct_lines(v0, v0) = 0) % 30.21/7.79 | (5) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (distinct_lines(v0, v1) = v2) | equal_lines(v0, v1) = 0) % 30.21/7.79 | (6) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_lines(v0, v1) = v2) | distinct_lines(v0, v1) = 0) % 30.21/7.79 | (7) ! [v0] : ! [v1] : ( ~ (apart_point_and_line(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & incident_point_and_line(v0, v1) = v2)) % 30.21/7.79 | (8) ! [v0] : ! [v1] : ( ~ (incident_point_and_line(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & apart_point_and_line(v0, v1) = v2)) % 30.21/7.79 | (9) ! [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)) % 30.21/7.79 | (10) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (distinct_points(v0, v1) = v2) | equal_points(v0, v1) = 0) % 30.21/7.79 | (11) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_points(v0, v1) = v2) | distinct_points(v0, v1) = 0) % 30.21/7.79 | (12) ! [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))) % 30.21/7.79 | (13) ! [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)) % 30.21/7.80 | (14) ~ (all_0_0_0 = 0) % 30.21/7.80 | (15) ! [v0] : ~ (convergent_lines(v0, v0) = 0) % 30.21/7.80 | (16) ! [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))) % 30.21/7.80 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0)) % 30.21/7.80 | (18) ! [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)) % 30.21/7.80 | (19) ! [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))) % 30.21/7.80 | (20) ? [v0] : ? [v1] : ? [v2] : distinct_lines(v1, v0) = v2 % 30.21/7.80 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0)) % 30.21/7.80 | (22) ! [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))) % 30.21/7.80 | (23) ! [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))) % 30.21/7.80 | (24) ? [v0] : ? [v1] : ? [v2] : equal_points(v1, v0) = v2 % 30.21/7.80 | (25) ! [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))) % 30.21/7.80 | (26) ! [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))) % 30.21/7.80 | (27) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | unorthogonal_lines(v0, v1) = 0) % 30.21/7.80 | (28) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unorthogonal_lines(v0, v1) = v2) | convergent_lines(v0, v1) = 0) % 30.21/7.80 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ (convergent_lines(v3, v2) = v0)) % 30.21/7.80 | (30) ! [v0] : ! [v1] : ( ~ (distinct_lines(v0, v1) = 0) | convergent_lines(v0, v1) = 0) % 30.21/7.80 | (31) ! [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))) % 30.21/7.80 | (32) ? [v0] : ? [v1] : ? [v2] : orthogonal_through_point(v1, v0) = v2 % 30.21/7.80 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (convergent_lines(v1, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | convergent_lines(v0, v2) = 0) % 30.21/7.80 | (34) ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v0) = v3)) % 30.21/7.80 | (35) ! [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))) % 30.21/7.80 | (36) ! [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)) % 30.21/7.80 | (37) ! [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))) % 30.21/7.80 | (38) ? [v0] : ? [v1] : ? [v2] : line_connecting(v1, v0) = v2 % 30.21/7.80 | (39) ! [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))) % 30.21/7.81 | (40) ! [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))) % 30.21/7.81 | (41) ! [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) % 30.21/7.81 | (42) ! [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)) % 30.53/7.81 | (43) ! [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))) % 30.53/7.81 | (44) ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 & apart_point_and_line(v0, v2) = v3)) % 30.53/7.81 | (45) ! [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))) % 30.53/7.81 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v0, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | distinct_points(v1, v2) = 0) % 30.53/7.81 | (47) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unorthogonal_lines(v0, v1) = v2) | orthogonal_lines(v0, v1) = 0) % 30.53/7.81 | (48) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (orthogonal_lines(v0, v1) = v2) | unorthogonal_lines(v0, v1) = 0) % 30.53/7.81 | (49) ! [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))) % 30.53/7.81 | (50) ! [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))) % 30.53/7.81 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unorthogonal_lines(v0, v1) = v3) | ~ (convergent_lines(v1, v2) = 0) | unorthogonal_lines(v0, v2) = 0) % 30.53/7.81 | (52) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & distinct_lines(v0, v1) = v3)) % 30.53/7.81 | (53) ! [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))) % 30.53/7.81 | (54) ! [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))) % 30.53/7.81 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (orthogonal_lines(v3, v2) = v1) | ~ (orthogonal_lines(v3, v2) = v0)) % 30.53/7.81 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unorthogonal_lines(v3, v2) = v1) | ~ (unorthogonal_lines(v3, v2) = v0)) % 30.53/7.81 | (57) ! [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))) % 30.53/7.81 | (58) ! [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))) % 30.53/7.81 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (orthogonal_through_point(v3, v2) = v1) | ~ (orthogonal_through_point(v3, v2) = v0)) % 30.53/7.81 | (60) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (apart_point_and_line(v0, v1) = v2) | incident_point_and_line(v0, v1) = 0) % 30.53/7.81 | (61) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (incident_point_and_line(v0, v1) = v2) | apart_point_and_line(v0, v1) = 0) % 30.53/7.81 | (62) ? [v0] : ? [v1] : ? [v2] : apart_point_and_line(v1, v0) = v2 % 30.53/7.81 | (63) ? [v0] : ? [v1] : ? [v2] : intersection_point(v1, v0) = v2 % 30.53/7.81 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (convergent_lines(v0, v1) = 0) | ~ (distinct_lines(v1, v2) = v3) | convergent_lines(v0, v2) = 0) % 30.53/7.81 | (65) distinct_points(all_0_5_5, all_0_4_4) = 0 % 30.53/7.81 | (66) ! [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))) % 30.53/7.81 | (67) ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & apart_point_and_line(v0, v2) = v3)) % 30.53/7.81 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (parallel_lines(v3, v2) = v1) | ~ (parallel_lines(v3, v2) = v0)) % 30.53/7.81 | (69) ? [v0] : ? [v1] : ? [v2] : orthogonal_lines(v1, v0) = v2 % 30.53/7.81 | (70) ! [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))) % 30.53/7.81 | (71) ! [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) % 30.53/7.81 | (72) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (point(v2) = v1) | ~ (point(v2) = v0)) % 30.53/7.82 | (73) apart_point_and_line(all_0_3_3, all_0_2_2) = 0 % 30.53/7.82 | (74) ! [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))) % 30.53/7.82 | (75) ! [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))) % 30.53/7.82 | (76) ! [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)) % 30.53/7.82 | (77) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | parallel_lines(v0, v1) = 0) % 30.53/7.82 | (78) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (parallel_lines(v0, v1) = v2) | convergent_lines(v0, v1) = 0) % 30.53/7.82 | (79) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (line(v2) = v1) | ~ (line(v2) = v0)) % 30.53/7.82 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~ (parallel_through_point(v3, v2) = v0)) % 30.53/7.82 | (81) apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0 % 30.53/7.82 | (82) ! [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) % 30.53/7.82 | (83) ! [v0] : ! [v1] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & orthogonal_lines(v0, v1) = v2)) % 30.53/7.82 | (84) ! [v0] : ! [v1] : ( ~ (orthogonal_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & unorthogonal_lines(v0, v1) = v2)) % 30.53/7.82 | (85) ! [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))) % 30.53/7.82 | (86) ! [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))) % 30.53/7.82 | (87) ! [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))) % 30.53/7.82 | (88) ! [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))) % 30.53/7.82 | (89) ! [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))) % 30.53/7.82 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) = v0)) % 30.53/7.82 | (91) ! [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))) % 30.53/7.82 | (92) ! [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))) % 30.53/7.82 | (93) ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & convergent_lines(v2, v1) = v3)) % 30.53/7.82 | (94) ! [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))) % 30.53/7.82 | (95) ! [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))) % 30.53/7.82 | (96) ! [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))) % 30.53/7.82 | (97) ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v1) = v3)) % 30.53/7.82 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v1, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | distinct_points(v0, v2) = 0) % 30.53/7.82 | (99) ? [v0] : ? [v1] : ? [v2] : distinct_points(v1, v0) = v2 % 30.53/7.82 | (100) ? [v0] : ? [v1] : ? [v2] : parallel_lines(v1, v0) = v2 % 30.53/7.82 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = 0) | unorthogonal_lines(v0, v1) = 0) % 30.53/7.82 | (102) ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & parallel_lines(v0, v1) = v2)) % 30.53/7.82 | (103) ! [v0] : ! [v1] : ( ~ (parallel_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & convergent_lines(v0, v1) = v2)) % 30.53/7.82 | (104) ! [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))) % 30.53/7.82 | (105) ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 & apart_point_and_line(v1, v2) = v3)) % 30.53/7.82 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | convergent_lines(v1, v2) = 0) % 30.53/7.82 | (107) ! [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))) % 30.53/7.82 | (108) ! [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))) % 30.53/7.83 | (109) ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equal_points(v0, v1) = v2)) % 30.53/7.83 | (110) ! [v0] : ! [v1] : ( ~ (equal_points(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & distinct_points(v0, v1) = v2)) % 30.53/7.83 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v0, v2) = v3) | ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v1, v2) = 0) % 30.53/7.83 | (112) ? [v0] : ? [v1] : ? [v2] : convergent_lines(v1, v0) = v2 % 30.53/7.83 | (113) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v1, v2) = v3) | ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v0, v2) = 0) % 30.53/7.83 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0)) % 30.53/7.83 | (115) ! [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))) % 30.53/7.83 | (116) ! [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))) % 30.53/7.83 | (117) ! [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))) % 30.53/7.83 | (118) line_connecting(all_0_5_5, all_0_4_4) = all_0_2_2 % 30.53/7.83 | (119) ! [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))) % 30.53/7.83 | (120) ! [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))) % 30.53/7.83 | (121) ! [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))) % 30.53/7.83 | (122) ! [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))) % 30.53/7.83 | (123) ? [v0] : ? [v1] : ? [v2] : unorthogonal_lines(v1, v0) = v2 % 30.53/7.83 | (124) ! [v0] : ~ (distinct_points(v0, v0) = 0) % 30.53/7.83 | (125) ! [v0] : ! [v1] : ( ~ (distinct_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equal_lines(v0, v1) = v2)) % 30.53/7.83 | (126) ! [v0] : ! [v1] : ( ~ (equal_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & distinct_lines(v0, v1) = v2)) % 30.53/7.83 | (127) ! [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)) % 30.53/7.83 | (128) ! [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))) % 30.53/7.83 | (129) ! [v0] : ! [v1] : ! [v2] : ( ~ (orthogonal_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & unorthogonal_lines(v2, v1) = v3)) % 30.53/7.83 | (130) ! [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) % 30.53/7.83 | (131) ! [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))) % 30.53/7.83 | (132) ! [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))) % 30.53/7.83 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | distinct_lines(v1, v2) = 0) % 30.53/7.83 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_points(v3, v2) = v1) | ~ (equal_points(v3, v2) = v0)) % 30.53/7.83 | (135) line_connecting(all_0_5_5, all_0_3_3) = all_0_1_1 % 30.53/7.83 | (136) ? [v0] : ? [v1] : ? [v2] : equal_lines(v1, v0) = v2 % 30.53/7.83 | (137) ! [v0] : ! [v1] : ! [v2] : ( ~ (orthogonal_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & apart_point_and_line(v0, v2) = v3)) % 30.53/7.83 | (138) ! [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))) % 30.53/7.83 | (139) ! [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))) % 30.53/7.83 | (140) ? [v0] : ? [v1] : ? [v2] : parallel_through_point(v1, v0) = v2 % 30.53/7.83 | (141) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (incident_point_and_line(v3, v2) = v1) | ~ (incident_point_and_line(v3, v2) = v0)) % 30.53/7.83 | (142) ? [v0] : ? [v1] : point(v0) = v1 % 30.53/7.83 | (143) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_lines(v3, v2) = v1) | ~ (equal_lines(v3, v2) = v0)) % 30.53/7.83 | (144) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ (apart_point_and_line(v3, v2) = v0)) % 30.53/7.83 | (145) ? [v0] : ? [v1] : line(v0) = v1 % 30.53/7.83 | % 30.53/7.83 | Instantiating formula (23) with all_0_1_1, all_0_3_3, all_0_5_5 and discharging atoms line_connecting(all_0_5_5, all_0_3_3) = all_0_1_1, yields: % 30.53/7.83 | (146) ? [v0] : (( ~ (v0 = 0) & apart_point_and_line(all_0_3_3, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 30.53/7.84 | % 30.53/7.84 | Instantiating formula (120) with all_0_1_1, all_0_3_3, all_0_5_5 and discharging atoms line_connecting(all_0_5_5, all_0_3_3) = all_0_1_1, yields: % 30.53/7.84 | (147) ? [v0] : (( ~ (v0 = 0) & apart_point_and_line(all_0_5_5, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 30.53/7.84 | % 30.53/7.84 | Instantiating formula (23) with all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms line_connecting(all_0_5_5, all_0_4_4) = all_0_2_2, yields: % 30.53/7.84 | (148) ? [v0] : (( ~ (v0 = 0) & apart_point_and_line(all_0_4_4, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.53/7.84 | % 30.53/7.84 | Instantiating formula (120) with all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms line_connecting(all_0_5_5, all_0_4_4) = all_0_2_2, yields: % 30.53/7.84 | (149) ? [v0] : (( ~ (v0 = 0) & apart_point_and_line(all_0_5_5, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.53/7.84 | % 30.53/7.84 | Instantiating formula (43) with all_0_0_0, all_0_0_0, all_0_1_1, all_0_1_1, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, yields: % 30.53/7.84 | (150) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_1_1, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0)) % 30.53/7.84 | % 30.53/7.84 | Instantiating formula (139) with all_0_0_0, all_0_0_0, all_0_1_1, all_0_1_1, all_0_4_4, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, yields: % 30.53/7.84 | (151) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 30.53/7.84 | % 30.53/7.84 | Instantiating formula (88) with all_0_0_0, all_0_0_0, all_0_1_1, all_0_1_1, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 30.53/7.84 | (152) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0)) % 30.53/7.84 | % 30.53/7.84 | Instantiating formula (105) with all_0_4_4, all_0_5_5 and discharging atoms distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 30.53/7.84 | (153) ? [v0] : ? [v1] : ( ~ (v1 = 0) & line_connecting(all_0_5_5, all_0_4_4) = v0 & apart_point_and_line(all_0_4_4, v0) = v1) % 30.53/7.84 | % 30.53/7.84 | Instantiating formula (44) with all_0_4_4, all_0_5_5 and discharging atoms distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 30.53/7.84 | (154) ? [v0] : ? [v1] : ( ~ (v1 = 0) & line_connecting(all_0_5_5, all_0_4_4) = v0 & apart_point_and_line(all_0_5_5, v0) = v1) % 30.53/7.84 | % 30.53/7.84 | Instantiating (154) with all_43_0_55, all_43_1_56 yields: % 30.53/7.84 | (155) ~ (all_43_0_55 = 0) & line_connecting(all_0_5_5, all_0_4_4) = all_43_1_56 & apart_point_and_line(all_0_5_5, all_43_1_56) = all_43_0_55 % 30.53/7.84 | % 30.53/7.84 | Applying alpha-rule on (155) yields: % 30.53/7.84 | (156) ~ (all_43_0_55 = 0) % 30.53/7.84 | (157) line_connecting(all_0_5_5, all_0_4_4) = all_43_1_56 % 30.53/7.84 | (158) apart_point_and_line(all_0_5_5, all_43_1_56) = all_43_0_55 % 30.53/7.84 | % 30.53/7.84 | Instantiating (147) with all_48_0_59 yields: % 30.53/7.84 | (159) ( ~ (all_48_0_59 = 0) & apart_point_and_line(all_0_5_5, all_0_1_1) = all_48_0_59) | ( ~ (all_48_0_59 = 0) & distinct_points(all_0_5_5, all_0_3_3) = all_48_0_59) % 30.53/7.84 | % 30.53/7.84 | Instantiating (149) with all_49_0_60 yields: % 30.53/7.84 | (160) ( ~ (all_49_0_60 = 0) & apart_point_and_line(all_0_5_5, all_0_2_2) = all_49_0_60) | ( ~ (all_49_0_60 = 0) & distinct_points(all_0_5_5, all_0_4_4) = all_49_0_60) % 30.53/7.84 | % 30.53/7.84 | Instantiating (146) with all_50_0_61 yields: % 30.53/7.84 | (161) ( ~ (all_50_0_61 = 0) & apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61) | ( ~ (all_50_0_61 = 0) & distinct_points(all_0_5_5, all_0_3_3) = all_50_0_61) % 30.53/7.84 | % 30.53/7.84 | Instantiating (153) with all_52_0_63, all_52_1_64 yields: % 30.53/7.84 | (162) ~ (all_52_0_63 = 0) & line_connecting(all_0_5_5, all_0_4_4) = all_52_1_64 & apart_point_and_line(all_0_4_4, all_52_1_64) = all_52_0_63 % 30.53/7.84 | % 30.53/7.84 | Applying alpha-rule on (162) yields: % 30.53/7.84 | (163) ~ (all_52_0_63 = 0) % 30.53/7.84 | (164) line_connecting(all_0_5_5, all_0_4_4) = all_52_1_64 % 30.53/7.84 | (165) apart_point_and_line(all_0_4_4, all_52_1_64) = all_52_0_63 % 30.53/7.84 | % 30.53/7.84 | Instantiating (148) with all_54_0_65 yields: % 30.53/7.84 | (166) ( ~ (all_54_0_65 = 0) & apart_point_and_line(all_0_4_4, all_0_2_2) = all_54_0_65) | ( ~ (all_54_0_65 = 0) & distinct_points(all_0_5_5, all_0_4_4) = all_54_0_65) % 30.53/7.84 | % 30.53/7.84 +-Applying beta-rule and splitting (150), into two cases. % 30.53/7.84 |-Branch one: % 30.53/7.84 | (167) all_0_0_0 = 0 % 30.53/7.84 | % 30.53/7.84 | Equations (167) can reduce 14 to: % 30.53/7.84 | (168) $false % 30.53/7.84 | % 30.53/7.84 |-The branch is then unsatisfiable % 30.53/7.84 |-Branch two: % 30.53/7.84 | (14) ~ (all_0_0_0 = 0) % 30.53/7.84 | (170) ? [v0] : ((v0 = 0 & convergent_lines(all_0_1_1, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0)) % 30.53/7.84 | % 30.53/7.84 +-Applying beta-rule and splitting (160), into two cases. % 30.53/7.84 |-Branch one: % 30.53/7.84 | (171) ~ (all_49_0_60 = 0) & apart_point_and_line(all_0_5_5, all_0_2_2) = all_49_0_60 % 30.53/7.84 | % 30.53/7.84 | Applying alpha-rule on (171) yields: % 30.53/7.84 | (172) ~ (all_49_0_60 = 0) % 30.53/7.84 | (173) apart_point_and_line(all_0_5_5, all_0_2_2) = all_49_0_60 % 30.53/7.84 | % 30.53/7.84 +-Applying beta-rule and splitting (151), into two cases. % 30.53/7.84 |-Branch one: % 30.53/7.84 | (167) all_0_0_0 = 0 % 30.53/7.84 | % 30.53/7.84 | Equations (167) can reduce 14 to: % 30.53/7.84 | (168) $false % 30.53/7.84 | % 30.53/7.84 |-The branch is then unsatisfiable % 30.53/7.84 |-Branch two: % 30.53/7.84 | (14) ~ (all_0_0_0 = 0) % 30.53/7.84 | (177) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 30.53/7.84 | % 30.53/7.84 +-Applying beta-rule and splitting (166), into two cases. % 30.53/7.84 |-Branch one: % 30.53/7.84 | (178) ~ (all_54_0_65 = 0) & apart_point_and_line(all_0_4_4, all_0_2_2) = all_54_0_65 % 30.53/7.84 | % 30.53/7.84 | Applying alpha-rule on (178) yields: % 30.53/7.84 | (179) ~ (all_54_0_65 = 0) % 30.53/7.84 | (180) apart_point_and_line(all_0_4_4, all_0_2_2) = all_54_0_65 % 30.53/7.84 | % 30.53/7.84 +-Applying beta-rule and splitting (152), into two cases. % 30.53/7.84 |-Branch one: % 30.53/7.84 | (167) all_0_0_0 = 0 % 30.53/7.84 | % 30.53/7.84 | Equations (167) can reduce 14 to: % 30.53/7.84 | (168) $false % 30.53/7.84 | % 30.53/7.84 |-The branch is then unsatisfiable % 30.53/7.84 |-Branch two: % 30.53/7.84 | (14) ~ (all_0_0_0 = 0) % 30.53/7.84 | (184) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0)) % 30.53/7.84 | % 30.53/7.84 | Instantiating formula (114) with all_0_5_5, all_0_4_4, all_52_1_64, all_0_2_2 and discharging atoms line_connecting(all_0_5_5, all_0_4_4) = all_52_1_64, line_connecting(all_0_5_5, all_0_4_4) = all_0_2_2, yields: % 30.53/7.84 | (185) all_52_1_64 = all_0_2_2 % 30.53/7.84 | % 30.53/7.84 | Instantiating formula (114) with all_0_5_5, all_0_4_4, all_43_1_56, all_52_1_64 and discharging atoms line_connecting(all_0_5_5, all_0_4_4) = all_52_1_64, line_connecting(all_0_5_5, all_0_4_4) = all_43_1_56, yields: % 30.53/7.84 | (186) all_52_1_64 = all_43_1_56 % 30.53/7.84 | % 30.53/7.84 | Combining equations (185,186) yields a new equation: % 30.53/7.84 | (187) all_43_1_56 = all_0_2_2 % 30.53/7.84 | % 30.53/7.84 | Combining equations (187,186) yields a new equation: % 30.53/7.84 | (185) all_52_1_64 = all_0_2_2 % 30.53/7.84 | % 30.53/7.84 | From (185) and (165) follows: % 30.53/7.84 | (189) apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63 % 30.53/7.84 | % 30.53/7.84 | From (187) and (158) follows: % 30.53/7.84 | (190) apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55 % 30.53/7.84 | % 30.53/7.84 | Instantiating formula (144) with all_0_4_4, all_0_2_2, all_52_0_63, all_54_0_65 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_54_0_65, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 30.53/7.84 | (191) all_54_0_65 = all_52_0_63 % 30.53/7.84 | % 30.53/7.84 | Instantiating formula (144) with all_0_5_5, all_0_2_2, all_43_0_55, all_49_0_60 and discharging atoms apart_point_and_line(all_0_5_5, all_0_2_2) = all_49_0_60, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.53/7.84 | (192) all_49_0_60 = all_43_0_55 % 30.53/7.84 | % 30.53/7.84 | Equations (191) can reduce 179 to: % 30.53/7.84 | (163) ~ (all_52_0_63 = 0) % 30.53/7.84 | % 30.53/7.84 | Equations (192) can reduce 172 to: % 30.53/7.84 | (156) ~ (all_43_0_55 = 0) % 30.53/7.84 | % 30.53/7.84 | From (191) and (180) follows: % 30.53/7.84 | (189) apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63 % 30.53/7.84 | % 30.53/7.84 | From (192) and (173) follows: % 30.53/7.84 | (190) apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55 % 30.53/7.84 | % 30.53/7.84 | Instantiating formula (41) with all_52_0_63, all_0_4_4, all_0_2_2, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_2_2) = 0, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 30.53/7.84 | (197) all_52_0_63 = 0 | distinct_points(all_0_3_3, all_0_4_4) = 0 % 30.53/7.84 | % 30.53/7.84 | Instantiating formula (88) with all_52_0_63, all_0_0_0, all_0_2_2, all_0_1_1, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 30.53/7.85 | (198) all_52_0_63 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0)) % 30.53/7.85 | % 30.53/7.85 | Instantiating formula (88) with all_0_0_0, all_52_0_63, all_0_1_1, all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 30.53/7.85 | (199) all_52_0_63 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0)) % 30.53/7.85 | % 30.53/7.85 | Instantiating formula (43) with all_52_0_63, all_0_0_0, all_0_2_2, all_0_1_1, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 30.53/7.85 | (200) all_52_0_63 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_1_1, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0)) % 30.53/7.85 | % 30.53/7.85 | Instantiating formula (43) with all_0_0_0, all_52_0_63, all_0_1_1, all_0_2_2, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 30.53/7.85 | (201) all_52_0_63 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_2_2, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0)) % 30.53/7.85 | % 30.53/7.85 | Instantiating formula (139) with all_52_0_63, all_0_0_0, all_0_2_2, all_0_1_1, all_0_4_4, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 30.53/7.85 | (202) all_52_0_63 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 30.53/7.85 | % 30.53/7.85 | Instantiating formula (139) with all_0_0_0, all_52_0_63, all_0_1_1, all_0_2_2, all_0_4_4, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 30.53/7.85 | (203) all_52_0_63 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 30.53/7.85 | % 30.53/7.85 | Instantiating formula (43) with all_52_0_63, all_52_0_63, all_0_2_2, all_0_2_2, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 30.53/7.85 | (204) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_2_2, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0)) % 30.53/7.85 | % 30.53/7.85 | Instantiating formula (139) with all_52_0_63, all_52_0_63, all_0_2_2, all_0_2_2, all_0_4_4, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 30.53/7.85 | (205) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 30.53/7.85 | % 30.53/7.85 | Instantiating formula (41) with all_43_0_55, all_0_5_5, all_0_2_2, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_2_2) = 0, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.53/7.85 | (206) all_43_0_55 = 0 | distinct_points(all_0_3_3, all_0_5_5) = 0 % 30.53/7.85 | % 30.53/7.85 | Instantiating formula (139) with all_43_0_55, all_0_0_0, all_0_2_2, all_0_1_1, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.53/7.85 | (207) all_43_0_55 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.53/7.85 | % 30.53/7.85 | Instantiating formula (139) with all_0_0_0, all_43_0_55, all_0_1_1, all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.53/7.85 | (208) all_43_0_55 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.53/7.85 | % 30.53/7.85 | Instantiating formula (122) with all_43_0_55, all_0_0_0, all_0_1_1, all_0_2_2, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.53/7.85 | (209) all_43_0_55 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.53/7.85 | % 30.53/7.85 | Instantiating formula (122) with all_0_0_0, all_43_0_55, all_0_2_2, all_0_1_1, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.53/7.85 | (210) all_43_0_55 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.53/7.85 | % 30.53/7.85 | Instantiating formula (139) with all_43_0_55, all_52_0_63, all_0_2_2, all_0_2_2, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.53/7.85 | (211) all_52_0_63 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.53/7.85 | % 30.53/7.85 | Instantiating formula (121) with all_43_0_55, all_43_0_55, all_0_2_2, all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 30.53/7.85 | (212) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0)) % 30.53/7.85 | % 30.53/7.85 | Instantiating formula (43) with all_43_0_55, all_43_0_55, all_0_2_2, all_0_2_2, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.53/7.85 | (213) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_2_2, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0)) % 30.53/7.85 | % 30.53/7.85 | Instantiating formula (139) with all_43_0_55, all_43_0_55, all_0_2_2, all_0_2_2, all_0_5_5, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.53/7.85 | (214) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0)) % 30.53/7.85 | % 30.53/7.85 +-Applying beta-rule and splitting (213), into two cases. % 30.53/7.85 |-Branch one: % 30.53/7.85 | (215) all_43_0_55 = 0 % 30.53/7.85 | % 30.53/7.85 | Equations (215) can reduce 156 to: % 30.53/7.85 | (168) $false % 30.53/7.85 | % 30.53/7.85 |-The branch is then unsatisfiable % 30.53/7.85 |-Branch two: % 30.53/7.85 | (156) ~ (all_43_0_55 = 0) % 30.53/7.85 | (218) ? [v0] : ((v0 = 0 & convergent_lines(all_0_2_2, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0)) % 30.53/7.85 | % 30.53/7.85 +-Applying beta-rule and splitting (197), into two cases. % 30.53/7.85 |-Branch one: % 30.53/7.85 | (219) distinct_points(all_0_3_3, all_0_4_4) = 0 % 30.53/7.85 | % 30.53/7.85 +-Applying beta-rule and splitting (212), into two cases. % 30.53/7.85 |-Branch one: % 30.53/7.85 | (215) all_43_0_55 = 0 % 30.53/7.85 | % 30.53/7.85 | Equations (215) can reduce 156 to: % 30.53/7.85 | (168) $false % 30.53/7.85 | % 30.53/7.85 |-The branch is then unsatisfiable % 30.53/7.85 |-Branch two: % 30.53/7.85 | (156) ~ (all_43_0_55 = 0) % 30.53/7.85 | (223) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0)) % 30.53/7.85 | % 30.53/7.85 +-Applying beta-rule and splitting (206), into two cases. % 30.53/7.85 |-Branch one: % 30.53/7.85 | (224) distinct_points(all_0_3_3, all_0_5_5) = 0 % 30.53/7.85 | % 30.53/7.85 +-Applying beta-rule and splitting (204), into two cases. % 30.53/7.85 |-Branch one: % 30.53/7.85 | (225) all_52_0_63 = 0 % 30.53/7.85 | % 30.53/7.85 | Equations (225) can reduce 163 to: % 30.53/7.85 | (168) $false % 30.53/7.85 | % 30.53/7.85 |-The branch is then unsatisfiable % 30.53/7.85 |-Branch two: % 30.53/7.85 | (163) ~ (all_52_0_63 = 0) % 30.53/7.85 | (218) ? [v0] : ((v0 = 0 & convergent_lines(all_0_2_2, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0)) % 30.53/7.85 | % 30.53/7.85 +-Applying beta-rule and splitting (205), into two cases. % 30.53/7.85 |-Branch one: % 30.53/7.85 | (225) all_52_0_63 = 0 % 30.53/7.85 | % 30.53/7.85 | Equations (225) can reduce 163 to: % 30.53/7.85 | (168) $false % 30.53/7.85 | % 30.53/7.85 |-The branch is then unsatisfiable % 30.53/7.85 |-Branch two: % 30.53/7.85 | (163) ~ (all_52_0_63 = 0) % 30.53/7.85 | (232) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 30.53/7.85 | % 30.53/7.85 +-Applying beta-rule and splitting (214), into two cases. % 30.53/7.85 |-Branch one: % 30.53/7.85 | (215) all_43_0_55 = 0 % 30.53/7.85 | % 30.53/7.85 | Equations (215) can reduce 156 to: % 30.53/7.85 | (168) $false % 30.53/7.85 | % 30.53/7.85 |-The branch is then unsatisfiable % 30.53/7.85 |-Branch two: % 30.53/7.85 | (156) ~ (all_43_0_55 = 0) % 30.53/7.85 | (236) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0)) % 30.53/7.85 | % 30.53/7.85 +-Applying beta-rule and splitting (208), into two cases. % 30.53/7.85 |-Branch one: % 30.53/7.85 | (215) all_43_0_55 = 0 % 30.53/7.85 | % 30.53/7.85 | Equations (215) can reduce 156 to: % 30.53/7.85 | (168) $false % 30.53/7.85 | % 30.53/7.85 |-The branch is then unsatisfiable % 30.53/7.85 |-Branch two: % 30.53/7.85 | (156) ~ (all_43_0_55 = 0) % 30.53/7.85 | (240) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.53/7.85 | % 30.53/7.85 +-Applying beta-rule and splitting (209), into two cases. % 30.53/7.85 |-Branch one: % 30.53/7.85 | (215) all_43_0_55 = 0 % 30.53/7.85 | % 30.53/7.85 | Equations (215) can reduce 156 to: % 30.53/7.85 | (168) $false % 30.53/7.85 | % 30.53/7.85 |-The branch is then unsatisfiable % 30.53/7.85 |-Branch two: % 30.53/7.85 | (156) ~ (all_43_0_55 = 0) % 30.53/7.85 | (244) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.53/7.85 | % 30.53/7.85 +-Applying beta-rule and splitting (210), into two cases. % 30.53/7.85 |-Branch one: % 30.53/7.85 | (215) all_43_0_55 = 0 % 30.53/7.85 | % 30.53/7.85 | Equations (215) can reduce 156 to: % 30.53/7.85 | (168) $false % 30.53/7.85 | % 30.53/7.85 |-The branch is then unsatisfiable % 30.53/7.85 |-Branch two: % 30.53/7.85 | (156) ~ (all_43_0_55 = 0) % 30.53/7.85 | (248) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.53/7.86 | % 30.53/7.86 +-Applying beta-rule and splitting (207), into two cases. % 30.53/7.86 |-Branch one: % 30.53/7.86 | (215) all_43_0_55 = 0 % 30.53/7.86 | % 30.53/7.86 | Equations (215) can reduce 156 to: % 30.53/7.86 | (168) $false % 30.53/7.86 | % 30.53/7.86 |-The branch is then unsatisfiable % 30.53/7.86 |-Branch two: % 30.53/7.86 | (156) ~ (all_43_0_55 = 0) % 30.53/7.86 | (252) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.53/7.86 | % 30.53/7.86 +-Applying beta-rule and splitting (201), into two cases. % 30.53/7.86 |-Branch one: % 30.53/7.86 | (225) all_52_0_63 = 0 % 30.53/7.86 | % 30.53/7.86 | Equations (225) can reduce 163 to: % 30.53/7.86 | (168) $false % 30.53/7.86 | % 30.53/7.86 |-The branch is then unsatisfiable % 30.53/7.86 |-Branch two: % 30.53/7.86 | (163) ~ (all_52_0_63 = 0) % 30.53/7.86 | (256) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_2_2, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0)) % 30.53/7.86 | % 30.53/7.86 +-Applying beta-rule and splitting (200), into two cases. % 30.53/7.86 |-Branch one: % 30.53/7.86 | (225) all_52_0_63 = 0 % 30.53/7.86 | % 30.53/7.86 | Equations (225) can reduce 163 to: % 30.53/7.86 | (168) $false % 30.53/7.86 | % 30.53/7.86 |-The branch is then unsatisfiable % 30.53/7.86 |-Branch two: % 30.53/7.86 | (163) ~ (all_52_0_63 = 0) % 30.53/7.86 | (260) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_1_1, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0)) % 30.53/7.86 | % 30.53/7.86 +-Applying beta-rule and splitting (199), into two cases. % 30.53/7.86 |-Branch one: % 30.53/7.86 | (225) all_52_0_63 = 0 % 30.53/7.86 | % 30.53/7.86 | Equations (225) can reduce 163 to: % 30.53/7.86 | (168) $false % 30.53/7.86 | % 30.53/7.86 |-The branch is then unsatisfiable % 30.53/7.86 |-Branch two: % 30.53/7.86 | (163) ~ (all_52_0_63 = 0) % 30.53/7.86 | (264) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0)) % 30.53/7.86 | % 30.53/7.86 +-Applying beta-rule and splitting (211), into two cases. % 30.53/7.86 |-Branch one: % 30.53/7.86 | (225) all_52_0_63 = 0 % 30.53/7.86 | % 30.53/7.86 | Equations (225) can reduce 163 to: % 30.53/7.86 | (168) $false % 30.53/7.86 | % 30.53/7.86 |-The branch is then unsatisfiable % 30.53/7.86 |-Branch two: % 30.53/7.86 | (163) ~ (all_52_0_63 = 0) % 30.53/7.86 | (268) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.53/7.86 | % 30.53/7.86 +-Applying beta-rule and splitting (198), into two cases. % 30.53/7.86 |-Branch one: % 30.53/7.86 | (225) all_52_0_63 = 0 % 30.53/7.86 | % 30.53/7.86 | Equations (225) can reduce 163 to: % 30.53/7.86 | (168) $false % 30.53/7.86 | % 30.53/7.86 |-The branch is then unsatisfiable % 30.53/7.86 |-Branch two: % 30.53/7.86 | (163) ~ (all_52_0_63 = 0) % 30.53/7.86 | (272) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0)) % 30.53/7.86 | % 30.53/7.86 +-Applying beta-rule and splitting (203), into two cases. % 30.53/7.86 |-Branch one: % 30.53/7.86 | (225) all_52_0_63 = 0 % 30.53/7.86 | % 30.53/7.86 | Equations (225) can reduce 163 to: % 30.53/7.86 | (168) $false % 30.53/7.86 | % 30.53/7.86 |-The branch is then unsatisfiable % 30.53/7.86 |-Branch two: % 30.53/7.86 | (163) ~ (all_52_0_63 = 0) % 30.53/7.86 | (276) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 30.53/7.86 | % 30.53/7.86 +-Applying beta-rule and splitting (202), into two cases. % 30.53/7.86 |-Branch one: % 30.53/7.86 | (225) all_52_0_63 = 0 % 30.53/7.86 | % 30.53/7.86 | Equations (225) can reduce 163 to: % 30.53/7.86 | (168) $false % 30.53/7.86 | % 30.53/7.86 |-The branch is then unsatisfiable % 30.53/7.86 |-Branch two: % 30.53/7.86 | (163) ~ (all_52_0_63 = 0) % 30.53/7.86 | (280) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 30.53/7.86 | % 30.53/7.86 +-Applying beta-rule and splitting (240), into two cases. % 30.53/7.86 |-Branch one: % 30.53/7.86 | (167) all_0_0_0 = 0 % 30.53/7.86 | % 30.53/7.86 | Equations (167) can reduce 14 to: % 30.53/7.86 | (168) $false % 30.53/7.86 | % 30.53/7.86 |-The branch is then unsatisfiable % 30.53/7.86 |-Branch two: % 30.53/7.86 | (14) ~ (all_0_0_0 = 0) % 30.53/7.86 | (284) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.53/7.86 | % 30.53/7.86 | Instantiating (284) with all_171_0_98 yields: % 30.53/7.86 | (285) (all_171_0_98 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (all_171_0_98 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (all_171_0_98 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = all_171_0_98) | ( ~ (all_171_0_98 = 0) & distinct_points(all_0_5_5, all_0_4_4) = all_171_0_98) % 30.53/7.86 | % 30.53/7.86 +-Applying beta-rule and splitting (244), into two cases. % 30.53/7.86 |-Branch one: % 30.53/7.86 | (167) all_0_0_0 = 0 % 30.53/7.86 | % 30.53/7.86 | Equations (167) can reduce 14 to: % 30.53/7.86 | (168) $false % 30.53/7.86 | % 30.53/7.86 |-The branch is then unsatisfiable % 30.53/7.86 |-Branch two: % 30.53/7.86 | (14) ~ (all_0_0_0 = 0) % 30.53/7.86 | (289) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.53/7.86 | % 30.53/7.86 +-Applying beta-rule and splitting (248), into two cases. % 30.53/7.86 |-Branch one: % 30.53/7.86 | (167) all_0_0_0 = 0 % 30.53/7.86 | % 30.53/7.86 | Equations (167) can reduce 14 to: % 30.53/7.86 | (168) $false % 30.53/7.86 | % 30.53/7.86 |-The branch is then unsatisfiable % 30.53/7.86 |-Branch two: % 30.53/7.86 | (14) ~ (all_0_0_0 = 0) % 30.53/7.86 | (293) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.53/7.86 | % 30.53/7.86 +-Applying beta-rule and splitting (252), into two cases. % 30.53/7.86 |-Branch one: % 30.53/7.86 | (167) all_0_0_0 = 0 % 30.53/7.86 | % 30.53/7.86 | Equations (167) can reduce 14 to: % 30.53/7.86 | (168) $false % 30.53/7.86 | % 30.53/7.86 |-The branch is then unsatisfiable % 30.53/7.86 |-Branch two: % 30.53/7.86 | (14) ~ (all_0_0_0 = 0) % 30.53/7.86 | (297) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.53/7.86 | % 30.53/7.86 +-Applying beta-rule and splitting (256), into two cases. % 30.53/7.86 |-Branch one: % 30.53/7.86 | (167) all_0_0_0 = 0 % 30.53/7.86 | % 30.53/7.86 | Equations (167) can reduce 14 to: % 30.53/7.86 | (168) $false % 30.53/7.86 | % 30.53/7.86 |-The branch is then unsatisfiable % 30.53/7.86 |-Branch two: % 30.53/7.86 | (14) ~ (all_0_0_0 = 0) % 30.53/7.86 | (301) ? [v0] : ((v0 = 0 & convergent_lines(all_0_2_2, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0)) % 30.53/7.86 | % 30.53/7.86 +-Applying beta-rule and splitting (260), into two cases. % 30.53/7.86 |-Branch one: % 30.53/7.86 | (167) all_0_0_0 = 0 % 30.53/7.86 | % 30.53/7.86 | Equations (167) can reduce 14 to: % 30.53/7.86 | (168) $false % 30.53/7.86 | % 30.53/7.86 |-The branch is then unsatisfiable % 30.53/7.86 |-Branch two: % 30.53/7.86 | (14) ~ (all_0_0_0 = 0) % 30.53/7.86 | (305) ? [v0] : ((v0 = 0 & convergent_lines(all_0_1_1, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0)) % 30.53/7.86 | % 30.53/7.86 +-Applying beta-rule and splitting (264), into two cases. % 30.53/7.86 |-Branch one: % 30.53/7.86 | (167) all_0_0_0 = 0 % 30.53/7.86 | % 30.53/7.86 | Equations (167) can reduce 14 to: % 30.53/7.86 | (168) $false % 30.53/7.86 | % 30.53/7.86 |-The branch is then unsatisfiable % 30.53/7.86 |-Branch two: % 30.53/7.86 | (14) ~ (all_0_0_0 = 0) % 30.53/7.86 | (309) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0)) % 30.53/7.86 | % 30.53/7.86 | Instantiating (309) with all_196_0_104 yields: % 30.53/7.86 | (310) (all_196_0_104 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | (all_196_0_104 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (all_196_0_104 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = all_196_0_104) % 30.53/7.86 | % 30.53/7.86 +-Applying beta-rule and splitting (268), into two cases. % 30.53/7.86 |-Branch one: % 30.53/7.86 | (215) all_43_0_55 = 0 % 30.53/7.86 | % 30.53/7.86 | Equations (215) can reduce 156 to: % 30.53/7.86 | (168) $false % 30.53/7.86 | % 30.53/7.86 |-The branch is then unsatisfiable % 30.53/7.86 |-Branch two: % 30.53/7.86 | (156) ~ (all_43_0_55 = 0) % 30.53/7.86 | (314) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.53/7.86 | % 30.53/7.86 | Instantiating formula (88) with all_0_0_0, all_52_0_63, all_0_1_1, all_0_2_2, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 30.53/7.86 | (315) all_52_0_63 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0)) % 30.53/7.86 | % 30.53/7.86 | Instantiating formula (88) with all_52_0_63, all_0_0_0, all_0_2_2, all_0_1_1, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 30.53/7.86 | (316) all_52_0_63 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0)) % 30.53/7.86 | % 30.53/7.86 | Instantiating formula (88) with all_52_0_63, all_52_0_63, all_0_2_2, all_0_2_2, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 30.53/7.86 | (317) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0)) % 30.53/7.86 | % 30.53/7.86 | Instantiating formula (105) with all_0_4_4, all_0_3_3 and discharging atoms distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 30.53/7.87 | (318) ? [v0] : ? [v1] : ( ~ (v1 = 0) & line_connecting(all_0_3_3, all_0_4_4) = v0 & apart_point_and_line(all_0_4_4, v0) = v1) % 30.53/7.87 | % 30.53/7.87 | Instantiating formula (44) with all_0_4_4, all_0_3_3 and discharging atoms distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 30.53/7.87 | (319) ? [v0] : ? [v1] : ( ~ (v1 = 0) & line_connecting(all_0_3_3, all_0_4_4) = v0 & apart_point_and_line(all_0_3_3, v0) = v1) % 30.53/7.87 | % 30.53/7.87 | Instantiating formula (88) with all_43_0_55, all_43_0_55, all_0_2_2, all_0_2_2, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, distinct_points(all_0_3_3, all_0_5_5) = 0, yields: % 30.53/7.87 | (320) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0)) % 30.53/7.87 | % 30.53/7.87 | Instantiating formula (105) with all_0_5_5, all_0_3_3 and discharging atoms distinct_points(all_0_3_3, all_0_5_5) = 0, yields: % 30.53/7.87 | (321) ? [v0] : ? [v1] : ( ~ (v1 = 0) & line_connecting(all_0_3_3, all_0_5_5) = v0 & apart_point_and_line(all_0_5_5, v0) = v1) % 30.53/7.87 | % 30.53/7.87 | Instantiating formula (44) with all_0_5_5, all_0_3_3 and discharging atoms distinct_points(all_0_3_3, all_0_5_5) = 0, yields: % 30.53/7.87 | (322) ? [v0] : ? [v1] : ( ~ (v1 = 0) & line_connecting(all_0_3_3, all_0_5_5) = v0 & apart_point_and_line(all_0_3_3, v0) = v1) % 30.53/7.87 | % 30.53/7.87 | Instantiating (318) with all_226_0_114, all_226_1_115 yields: % 30.53/7.87 | (323) ~ (all_226_0_114 = 0) & line_connecting(all_0_3_3, all_0_4_4) = all_226_1_115 & apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114 % 30.53/7.87 | % 30.53/7.87 | Applying alpha-rule on (323) yields: % 30.53/7.87 | (324) ~ (all_226_0_114 = 0) % 30.53/7.87 | (325) line_connecting(all_0_3_3, all_0_4_4) = all_226_1_115 % 30.53/7.87 | (326) apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114 % 30.53/7.87 | % 30.53/7.87 | Instantiating (322) with all_228_0_116, all_228_1_117 yields: % 30.53/7.87 | (327) ~ (all_228_0_116 = 0) & line_connecting(all_0_3_3, all_0_5_5) = all_228_1_117 & apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116 % 30.53/7.87 | % 30.53/7.87 | Applying alpha-rule on (327) yields: % 30.53/7.87 | (328) ~ (all_228_0_116 = 0) % 30.53/7.87 | (329) line_connecting(all_0_3_3, all_0_5_5) = all_228_1_117 % 30.53/7.87 | (330) apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116 % 30.53/7.87 | % 30.53/7.87 | Instantiating (321) with all_230_0_118, all_230_1_119 yields: % 30.53/7.87 | (331) ~ (all_230_0_118 = 0) & line_connecting(all_0_3_3, all_0_5_5) = all_230_1_119 & apart_point_and_line(all_0_5_5, all_230_1_119) = all_230_0_118 % 30.53/7.87 | % 30.53/7.87 | Applying alpha-rule on (331) yields: % 30.53/7.87 | (332) ~ (all_230_0_118 = 0) % 30.53/7.87 | (333) line_connecting(all_0_3_3, all_0_5_5) = all_230_1_119 % 30.53/7.87 | (334) apart_point_and_line(all_0_5_5, all_230_1_119) = all_230_0_118 % 30.53/7.87 | % 30.53/7.87 | Instantiating (319) with all_232_0_120, all_232_1_121 yields: % 30.53/7.87 | (335) ~ (all_232_0_120 = 0) & line_connecting(all_0_3_3, all_0_4_4) = all_232_1_121 & apart_point_and_line(all_0_3_3, all_232_1_121) = all_232_0_120 % 30.53/7.87 | % 30.53/7.87 | Applying alpha-rule on (335) yields: % 30.53/7.87 | (336) ~ (all_232_0_120 = 0) % 30.53/7.87 | (337) line_connecting(all_0_3_3, all_0_4_4) = all_232_1_121 % 30.53/7.87 | (338) apart_point_and_line(all_0_3_3, all_232_1_121) = all_232_0_120 % 30.53/7.87 | % 30.53/7.87 +-Applying beta-rule and splitting (317), into two cases. % 30.53/7.87 |-Branch one: % 30.53/7.87 | (225) all_52_0_63 = 0 % 30.53/7.87 | % 30.53/7.87 | Equations (225) can reduce 163 to: % 30.53/7.87 | (168) $false % 30.53/7.87 | % 30.53/7.87 |-The branch is then unsatisfiable % 30.53/7.87 |-Branch two: % 30.53/7.87 | (163) ~ (all_52_0_63 = 0) % 30.53/7.87 | (342) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0)) % 30.53/7.87 | % 30.53/7.87 +-Applying beta-rule and splitting (320), into two cases. % 30.53/7.87 |-Branch one: % 30.53/7.87 | (215) all_43_0_55 = 0 % 30.53/7.87 | % 30.53/7.87 | Equations (215) can reduce 156 to: % 30.53/7.87 | (168) $false % 30.53/7.87 | % 30.53/7.87 |-The branch is then unsatisfiable % 30.53/7.87 |-Branch two: % 30.53/7.87 | (156) ~ (all_43_0_55 = 0) % 30.53/7.87 | (342) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0)) % 30.53/7.87 | % 30.53/7.87 +-Applying beta-rule and splitting (316), into two cases. % 30.53/7.87 |-Branch one: % 30.53/7.87 | (225) all_52_0_63 = 0 % 30.53/7.87 | % 30.53/7.87 | Equations (225) can reduce 163 to: % 30.53/7.87 | (168) $false % 30.53/7.87 | % 30.53/7.87 |-The branch is then unsatisfiable % 30.53/7.87 |-Branch two: % 30.53/7.87 | (163) ~ (all_52_0_63 = 0) % 30.53/7.87 | (350) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0)) % 30.53/7.87 | % 30.53/7.87 +-Applying beta-rule and splitting (315), into two cases. % 30.53/7.87 |-Branch one: % 30.53/7.87 | (225) all_52_0_63 = 0 % 30.53/7.87 | % 30.53/7.87 | Equations (225) can reduce 163 to: % 30.53/7.87 | (168) $false % 30.53/7.87 | % 30.53/7.87 |-The branch is then unsatisfiable % 30.53/7.87 |-Branch two: % 30.53/7.87 | (163) ~ (all_52_0_63 = 0) % 30.53/7.87 | (354) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0)) % 30.53/7.87 | % 30.85/7.87 | Instantiating formula (114) with all_0_3_3, all_0_4_4, all_226_1_115, all_232_1_121 and discharging atoms line_connecting(all_0_3_3, all_0_4_4) = all_232_1_121, line_connecting(all_0_3_3, all_0_4_4) = all_226_1_115, yields: % 30.85/7.87 | (355) all_232_1_121 = all_226_1_115 % 30.85/7.87 | % 30.85/7.87 | Instantiating formula (114) with all_0_3_3, all_0_5_5, all_228_1_117, all_230_1_119 and discharging atoms line_connecting(all_0_3_3, all_0_5_5) = all_230_1_119, line_connecting(all_0_3_3, all_0_5_5) = all_228_1_117, yields: % 30.85/7.87 | (356) all_230_1_119 = all_228_1_117 % 30.85/7.87 | % 30.85/7.87 | From (355) and (338) follows: % 30.85/7.87 | (357) apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120 % 30.85/7.87 | % 30.85/7.87 | From (356) and (334) follows: % 30.85/7.87 | (358) apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118 % 30.85/7.87 | % 30.85/7.87 +-Applying beta-rule and splitting (159), into two cases. % 30.85/7.87 |-Branch one: % 30.85/7.87 | (359) ~ (all_48_0_59 = 0) & apart_point_and_line(all_0_5_5, all_0_1_1) = all_48_0_59 % 30.85/7.87 | % 30.85/7.87 | Applying alpha-rule on (359) yields: % 30.85/7.87 | (360) ~ (all_48_0_59 = 0) % 30.85/7.87 | (361) apart_point_and_line(all_0_5_5, all_0_1_1) = all_48_0_59 % 30.85/7.87 | % 30.85/7.87 +-Applying beta-rule and splitting (310), into two cases. % 30.85/7.87 |-Branch one: % 30.85/7.87 | (362) (all_196_0_104 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | (all_196_0_104 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) % 30.85/7.87 | % 30.85/7.87 +-Applying beta-rule and splitting (362), into two cases. % 30.85/7.87 |-Branch one: % 30.85/7.87 | (363) all_196_0_104 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0 % 30.85/7.87 | % 30.85/7.87 | Applying alpha-rule on (363) yields: % 30.85/7.87 | (364) all_196_0_104 = 0 % 30.85/7.87 | (365) apart_point_and_line(all_0_5_5, all_0_1_1) = 0 % 30.85/7.87 | % 30.85/7.87 | Instantiating formula (144) with all_0_5_5, all_0_1_1, 0, all_48_0_59 and discharging atoms apart_point_and_line(all_0_5_5, all_0_1_1) = all_48_0_59, apart_point_and_line(all_0_5_5, all_0_1_1) = 0, yields: % 30.85/7.87 | (366) all_48_0_59 = 0 % 30.85/7.87 | % 30.85/7.87 | Equations (366) can reduce 360 to: % 30.85/7.87 | (168) $false % 30.85/7.87 | % 30.85/7.87 |-The branch is then unsatisfiable % 30.85/7.87 |-Branch two: % 30.85/7.87 | (368) all_196_0_104 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0 % 30.85/7.87 | % 30.85/7.87 | Applying alpha-rule on (368) yields: % 30.85/7.87 | (364) all_196_0_104 = 0 % 30.85/7.87 | (370) apart_point_and_line(all_0_5_5, all_0_2_2) = 0 % 30.85/7.87 | % 30.85/7.87 | Instantiating formula (144) with all_0_5_5, all_0_2_2, 0, all_43_0_55 and discharging atoms apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, apart_point_and_line(all_0_5_5, all_0_2_2) = 0, yields: % 30.85/7.87 | (215) all_43_0_55 = 0 % 30.85/7.87 | % 30.85/7.87 | Equations (215) can reduce 156 to: % 30.85/7.87 | (168) $false % 30.85/7.87 | % 30.85/7.87 |-The branch is then unsatisfiable % 30.85/7.87 |-Branch two: % 30.85/7.87 | (373) ~ (all_196_0_104 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = all_196_0_104 % 30.85/7.87 | % 30.85/7.87 | Applying alpha-rule on (373) yields: % 30.85/7.87 | (374) ~ (all_196_0_104 = 0) % 30.85/7.87 | (375) distinct_lines(all_0_2_2, all_0_1_1) = all_196_0_104 % 30.85/7.87 | % 30.85/7.87 +-Applying beta-rule and splitting (285), into two cases. % 30.85/7.87 |-Branch one: % 30.85/7.87 | (376) (all_171_0_98 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (all_171_0_98 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (all_171_0_98 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = all_171_0_98) % 30.85/7.87 | % 30.85/7.87 +-Applying beta-rule and splitting (376), into two cases. % 30.85/7.87 |-Branch one: % 30.85/7.87 | (377) (all_171_0_98 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (all_171_0_98 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) % 30.85/7.87 | % 30.85/7.87 +-Applying beta-rule and splitting (377), into two cases. % 30.85/7.87 |-Branch one: % 30.85/7.87 | (378) all_171_0_98 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0 % 30.85/7.87 | % 30.85/7.87 | Applying alpha-rule on (378) yields: % 30.85/7.87 | (379) all_171_0_98 = 0 % 30.85/7.87 | (380) apart_point_and_line(all_0_4_4, all_0_2_2) = 0 % 30.85/7.87 | % 30.85/7.87 | Instantiating formula (144) with all_0_4_4, all_0_2_2, 0, all_52_0_63 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, apart_point_and_line(all_0_4_4, all_0_2_2) = 0, yields: % 30.85/7.87 | (225) all_52_0_63 = 0 % 30.85/7.87 | % 30.85/7.87 | Equations (225) can reduce 163 to: % 30.85/7.87 | (168) $false % 30.85/7.87 | % 30.85/7.87 |-The branch is then unsatisfiable % 30.85/7.87 |-Branch two: % 30.85/7.88 | (383) all_171_0_98 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0 % 30.85/7.88 | % 30.85/7.88 | Applying alpha-rule on (383) yields: % 30.85/7.88 | (379) all_171_0_98 = 0 % 30.85/7.88 | (365) apart_point_and_line(all_0_5_5, all_0_1_1) = 0 % 30.85/7.88 | % 30.85/7.88 | Instantiating formula (144) with all_0_5_5, all_0_1_1, 0, all_48_0_59 and discharging atoms apart_point_and_line(all_0_5_5, all_0_1_1) = all_48_0_59, apart_point_and_line(all_0_5_5, all_0_1_1) = 0, yields: % 30.85/7.88 | (366) all_48_0_59 = 0 % 30.85/7.88 | % 30.85/7.88 | Equations (366) can reduce 360 to: % 30.85/7.88 | (168) $false % 30.85/7.88 | % 30.85/7.88 |-The branch is then unsatisfiable % 30.85/7.88 |-Branch two: % 30.85/7.88 | (388) ~ (all_171_0_98 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = all_171_0_98 % 30.85/7.88 | % 30.85/7.88 | Applying alpha-rule on (388) yields: % 30.85/7.88 | (389) ~ (all_171_0_98 = 0) % 30.85/7.88 | (390) distinct_lines(all_0_2_2, all_0_1_1) = all_171_0_98 % 30.85/7.88 | % 30.85/7.88 | Instantiating formula (21) with all_0_2_2, all_0_1_1, all_171_0_98, all_196_0_104 and discharging atoms distinct_lines(all_0_2_2, all_0_1_1) = all_196_0_104, distinct_lines(all_0_2_2, all_0_1_1) = all_171_0_98, yields: % 30.85/7.88 | (391) all_196_0_104 = all_171_0_98 % 30.85/7.88 | % 30.85/7.88 | Equations (391) can reduce 374 to: % 30.85/7.88 | (389) ~ (all_171_0_98 = 0) % 30.85/7.88 | % 30.85/7.88 | From (391) and (375) follows: % 30.85/7.88 | (390) distinct_lines(all_0_2_2, all_0_1_1) = all_171_0_98 % 30.85/7.88 | % 30.85/7.88 +-Applying beta-rule and splitting (161), into two cases. % 30.85/7.88 |-Branch one: % 30.85/7.88 | (394) ~ (all_50_0_61 = 0) & apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61 % 30.85/7.88 | % 30.85/7.88 | Applying alpha-rule on (394) yields: % 30.85/7.88 | (395) ~ (all_50_0_61 = 0) % 30.85/7.88 | (396) apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61 % 30.85/7.88 | % 30.85/7.88 | Instantiating formula (139) with all_0_0_0, all_228_0_116, all_0_1_1, all_228_1_117, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, yields: % 30.85/7.88 | (397) all_228_0_116 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 30.85/7.88 | % 30.85/7.88 | Instantiating formula (122) with all_228_0_116, all_0_0_0, all_0_1_1, all_228_1_117, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, yields: % 30.85/7.88 | (398) all_228_0_116 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 30.85/7.88 | % 30.85/7.88 | Instantiating formula (122) with all_0_0_0, all_228_0_116, all_228_1_117, all_0_1_1, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, yields: % 30.85/7.88 | (399) all_228_0_116 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 30.85/7.88 | % 30.85/7.88 | Instantiating formula (139) with all_228_0_116, all_52_0_63, all_228_1_117, all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 30.85/7.88 | (400) all_228_0_116 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 30.85/7.88 | % 30.85/7.88 | Instantiating formula (43) with all_228_0_116, all_228_0_116, all_228_1_117, all_228_1_117, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, yields: % 30.85/7.88 | (401) all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_228_1_117, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_228_1_117) = v0)) % 30.85/7.88 | % 30.85/7.88 | Instantiating formula (139) with all_232_0_120, all_0_0_0, all_226_1_115, all_0_1_1, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, yields: % 30.85/7.88 | (402) all_232_0_120 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 30.85/7.88 | % 30.85/7.88 | Instantiating formula (139) with all_0_0_0, all_232_0_120, all_0_1_1, all_226_1_115, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, yields: % 30.85/7.88 | (403) all_232_0_120 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 30.85/7.88 | % 30.85/7.88 | Instantiating formula (122) with all_232_0_120, all_0_0_0, all_0_1_1, all_226_1_115, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, yields: % 30.85/7.88 | (404) all_232_0_120 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 30.85/7.88 | % 30.85/7.88 | Instantiating formula (122) with all_0_0_0, all_232_0_120, all_226_1_115, all_0_1_1, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, yields: % 30.85/7.88 | (405) all_232_0_120 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 30.85/7.88 | % 30.85/7.88 | Instantiating formula (139) with all_232_0_120, all_52_0_63, all_226_1_115, all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 30.85/7.88 | (406) all_232_0_120 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 30.85/7.88 | % 30.85/7.88 | Instantiating formula (139) with all_52_0_63, all_232_0_120, all_0_2_2, all_226_1_115, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 30.85/7.88 | (407) all_232_0_120 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 30.85/7.88 | % 30.85/7.88 | Instantiating formula (122) with all_232_0_120, all_52_0_63, all_0_2_2, all_226_1_115, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 30.85/7.88 | (408) all_232_0_120 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 30.85/7.88 | % 30.85/7.88 | Instantiating formula (139) with all_232_0_120, all_43_0_55, all_226_1_115, all_0_2_2, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.85/7.88 | (409) all_232_0_120 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 30.85/7.88 | % 30.85/7.88 | Instantiating formula (139) with all_43_0_55, all_232_0_120, all_0_2_2, all_226_1_115, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.85/7.88 | (410) all_232_0_120 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 30.85/7.88 | % 30.85/7.88 | Instantiating formula (122) with all_232_0_120, all_43_0_55, all_0_2_2, all_226_1_115, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.85/7.88 | (411) all_232_0_120 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 30.85/7.88 | % 30.85/7.88 | Instantiating formula (121) with all_232_0_120, all_228_0_116, all_226_1_115, all_228_1_117, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 30.85/7.88 | (412) all_232_0_120 = 0 | all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_226_1_115) = v0)) % 30.85/7.88 | % 30.85/7.88 | Instantiating formula (121) with all_228_0_116, all_232_0_120, all_228_1_117, all_226_1_115, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 30.85/7.88 | (413) all_232_0_120 = 0 | all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_228_1_117) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (121) with all_232_0_120, all_228_0_116, all_226_1_115, all_228_1_117, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, distinct_points(all_0_3_3, all_0_5_5) = 0, yields: % 30.85/7.89 | (414) all_232_0_120 = 0 | all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_226_1_115) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (121) with all_228_0_116, all_232_0_120, all_228_1_117, all_226_1_115, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, distinct_points(all_0_3_3, all_0_5_5) = 0, yields: % 30.85/7.89 | (415) all_232_0_120 = 0 | all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_228_1_117) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (43) with all_232_0_120, all_228_0_116, all_226_1_115, all_228_1_117, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, yields: % 30.85/7.89 | (416) all_232_0_120 = 0 | all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_228_1_117, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_226_1_115) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (43) with all_228_0_116, all_232_0_120, all_228_1_117, all_226_1_115, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, yields: % 30.85/7.89 | (417) all_232_0_120 = 0 | all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_226_1_115, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_228_1_117) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (139) with all_232_0_120, all_228_0_116, all_226_1_115, all_228_1_117, all_0_3_3, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, yields: % 30.85/7.89 | (418) all_232_0_120 = 0 | all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (139) with all_228_0_116, all_232_0_120, all_228_1_117, all_226_1_115, all_0_3_3, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, yields: % 30.85/7.89 | (419) all_232_0_120 = 0 | all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (121) with all_232_0_120, all_232_0_120, all_226_1_115, all_226_1_115, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 30.85/7.89 | (420) all_232_0_120 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (121) with all_232_0_120, all_232_0_120, all_226_1_115, all_226_1_115, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, distinct_points(all_0_3_3, all_0_5_5) = 0, yields: % 30.85/7.89 | (421) all_232_0_120 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (43) with all_232_0_120, all_232_0_120, all_226_1_115, all_226_1_115, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, yields: % 30.85/7.89 | (422) all_232_0_120 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_226_1_115, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (139) with all_232_0_120, all_232_0_120, all_226_1_115, all_226_1_115, all_0_3_3, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, yields: % 30.85/7.89 | (423) all_232_0_120 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (139) with all_50_0_61, all_0_0_0, all_0_1_1, all_0_1_1, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, yields: % 30.85/7.89 | (424) all_50_0_61 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (139) with all_50_0_61, all_52_0_63, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 30.85/7.89 | (425) all_52_0_63 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (139) with all_52_0_63, all_50_0_61, all_0_2_2, all_0_1_1, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 30.85/7.89 | (426) all_52_0_63 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (122) with all_50_0_61, all_52_0_63, all_0_2_2, all_0_1_1, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 30.85/7.89 | (427) all_52_0_63 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (122) with all_52_0_63, all_50_0_61, all_0_1_1, all_0_2_2, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 30.85/7.89 | (428) all_52_0_63 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (139) with all_50_0_61, all_43_0_55, all_0_1_1, all_0_2_2, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.85/7.89 | (429) all_50_0_61 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (139) with all_43_0_55, all_50_0_61, all_0_2_2, all_0_1_1, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.85/7.89 | (430) all_50_0_61 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (122) with all_50_0_61, all_43_0_55, all_0_2_2, all_0_1_1, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.85/7.89 | (431) all_50_0_61 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (122) with all_43_0_55, all_50_0_61, all_0_1_1, all_0_2_2, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.85/7.89 | (432) all_50_0_61 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (121) with all_50_0_61, all_228_0_116, all_0_1_1, all_228_1_117, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 30.85/7.89 | (433) all_228_0_116 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (121) with all_228_0_116, all_50_0_61, all_228_1_117, all_0_1_1, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 30.85/7.89 | (434) all_228_0_116 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (121) with all_50_0_61, all_228_0_116, all_0_1_1, all_228_1_117, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, distinct_points(all_0_3_3, all_0_5_5) = 0, yields: % 30.85/7.89 | (435) all_228_0_116 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0)) % 30.85/7.89 | % 30.85/7.89 | Instantiating formula (121) with all_228_0_116, all_50_0_61, all_228_1_117, all_0_1_1, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, distinct_points(all_0_3_3, all_0_5_5) = 0, yields: % 30.85/7.89 | (436) all_228_0_116 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (43) with all_50_0_61, all_228_0_116, all_0_1_1, all_228_1_117, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, yields: % 30.85/7.90 | (437) all_228_0_116 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_228_1_117, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (43) with all_228_0_116, all_50_0_61, all_228_1_117, all_0_1_1, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, yields: % 30.85/7.90 | (438) all_228_0_116 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_1_1, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (139) with all_50_0_61, all_228_0_116, all_0_1_1, all_228_1_117, all_0_3_3, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, yields: % 30.85/7.90 | (439) all_228_0_116 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (139) with all_228_0_116, all_50_0_61, all_228_1_117, all_0_1_1, all_0_3_3, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, yields: % 30.85/7.90 | (440) all_228_0_116 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (121) with all_50_0_61, all_232_0_120, all_0_1_1, all_226_1_115, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 30.85/7.90 | (441) all_232_0_120 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (121) with all_232_0_120, all_50_0_61, all_226_1_115, all_0_1_1, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 30.85/7.90 | (442) all_232_0_120 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (121) with all_50_0_61, all_232_0_120, all_0_1_1, all_226_1_115, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, distinct_points(all_0_3_3, all_0_5_5) = 0, yields: % 30.85/7.90 | (443) all_232_0_120 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (121) with all_232_0_120, all_50_0_61, all_226_1_115, all_0_1_1, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, distinct_points(all_0_3_3, all_0_5_5) = 0, yields: % 30.85/7.90 | (444) all_232_0_120 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (43) with all_50_0_61, all_232_0_120, all_0_1_1, all_226_1_115, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, yields: % 30.85/7.90 | (445) all_232_0_120 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_226_1_115, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (43) with all_232_0_120, all_50_0_61, all_226_1_115, all_0_1_1, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, yields: % 30.85/7.90 | (446) all_232_0_120 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_1_1, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (139) with all_50_0_61, all_232_0_120, all_0_1_1, all_226_1_115, all_0_3_3, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, yields: % 30.85/7.90 | (447) all_232_0_120 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (139) with all_232_0_120, all_50_0_61, all_226_1_115, all_0_1_1, all_0_3_3, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, yields: % 30.85/7.90 | (448) all_232_0_120 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (43) with all_50_0_61, all_50_0_61, all_0_1_1, all_0_1_1, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, yields: % 30.85/7.90 | (449) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_1_1, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (139) with all_50_0_61, all_50_0_61, all_0_1_1, all_0_1_1, all_0_3_3, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, yields: % 30.85/7.90 | (450) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (88) with all_226_0_114, all_0_0_0, all_226_1_115, all_0_1_1, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 30.85/7.90 | (451) all_226_0_114 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (88) with all_0_0_0, all_226_0_114, all_0_1_1, all_226_1_115, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 30.85/7.90 | (452) all_226_0_114 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (88) with all_226_0_114, all_0_0_0, all_226_1_115, all_0_1_1, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 30.85/7.90 | (453) all_226_0_114 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (88) with all_0_0_0, all_226_0_114, all_0_1_1, all_226_1_115, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 30.85/7.90 | (454) all_226_0_114 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (43) with all_226_0_114, all_0_0_0, all_226_1_115, all_0_1_1, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, yields: % 30.85/7.90 | (455) all_226_0_114 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_1_1, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (43) with all_0_0_0, all_226_0_114, all_0_1_1, all_226_1_115, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, yields: % 30.85/7.90 | (456) all_226_0_114 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_226_1_115, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (139) with all_226_0_114, all_0_0_0, all_226_1_115, all_0_1_1, all_0_4_4, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, yields: % 30.85/7.90 | (457) all_226_0_114 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (139) with all_0_0_0, all_226_0_114, all_0_1_1, all_226_1_115, all_0_4_4, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, yields: % 30.85/7.90 | (458) all_226_0_114 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (88) with all_226_0_114, all_52_0_63, all_226_1_115, all_0_2_2, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 30.85/7.90 | (459) all_226_0_114 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (88) with all_52_0_63, all_226_0_114, all_0_2_2, all_226_1_115, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 30.85/7.90 | (460) all_226_0_114 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0)) % 30.85/7.90 | % 30.85/7.90 | Instantiating formula (88) with all_226_0_114, all_52_0_63, all_226_1_115, all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 30.85/7.91 | (461) all_226_0_114 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (88) with all_52_0_63, all_226_0_114, all_0_2_2, all_226_1_115, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 30.85/7.91 | (462) all_226_0_114 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (43) with all_226_0_114, all_52_0_63, all_226_1_115, all_0_2_2, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 30.85/7.91 | (463) all_226_0_114 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_2_2, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (43) with all_52_0_63, all_226_0_114, all_0_2_2, all_226_1_115, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 30.85/7.91 | (464) all_226_0_114 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_226_1_115, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (139) with all_226_0_114, all_52_0_63, all_226_1_115, all_0_2_2, all_0_4_4, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 30.85/7.91 | (465) all_226_0_114 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (139) with all_52_0_63, all_226_0_114, all_0_2_2, all_226_1_115, all_0_4_4, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 30.85/7.91 | (466) all_226_0_114 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (139) with all_226_0_114, all_43_0_55, all_226_1_115, all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.85/7.91 | (467) all_226_0_114 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (139) with all_43_0_55, all_226_0_114, all_0_2_2, all_226_1_115, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.85/7.91 | (468) all_226_0_114 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (122) with all_226_0_114, all_43_0_55, all_0_2_2, all_226_1_115, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.85/7.91 | (469) all_226_0_114 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (122) with all_43_0_55, all_226_0_114, all_226_1_115, all_0_2_2, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.85/7.91 | (470) all_226_0_114 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (139) with all_226_0_114, all_228_0_116, all_226_1_115, all_228_1_117, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, yields: % 30.85/7.91 | (471) all_228_0_116 = 0 | all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (139) with all_226_0_114, all_232_0_120, all_226_1_115, all_226_1_115, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, yields: % 30.85/7.91 | (472) all_232_0_120 = 0 | all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (139) with all_232_0_120, all_226_0_114, all_226_1_115, all_226_1_115, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, yields: % 30.85/7.91 | (473) all_232_0_120 = 0 | all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (139) with all_226_0_114, all_50_0_61, all_226_1_115, all_0_1_1, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, yields: % 30.85/7.91 | (474) all_226_0_114 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (139) with all_50_0_61, all_226_0_114, all_0_1_1, all_226_1_115, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, yields: % 30.85/7.91 | (475) all_226_0_114 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (122) with all_226_0_114, all_50_0_61, all_0_1_1, all_226_1_115, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, yields: % 30.85/7.91 | (476) all_226_0_114 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (122) with all_50_0_61, all_226_0_114, all_226_1_115, all_0_1_1, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, yields: % 30.85/7.91 | (477) all_226_0_114 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (88) with all_226_0_114, all_226_0_114, all_226_1_115, all_226_1_115, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 30.85/7.91 | (478) all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (88) with all_226_0_114, all_226_0_114, all_226_1_115, all_226_1_115, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 30.85/7.91 | (479) all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (43) with all_226_0_114, all_226_0_114, all_226_1_115, all_226_1_115, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, yields: % 30.85/7.91 | (480) all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_226_1_115, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (139) with all_226_0_114, all_226_0_114, all_226_1_115, all_226_1_115, all_0_4_4, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, yields: % 30.85/7.91 | (481) all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (139) with all_230_0_118, all_0_0_0, all_228_1_117, all_0_1_1, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.91 | (482) all_230_0_118 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (139) with all_0_0_0, all_230_0_118, all_0_1_1, all_228_1_117, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.91 | (483) all_230_0_118 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.85/7.91 | % 30.85/7.91 | Instantiating formula (122) with all_230_0_118, all_0_0_0, all_0_1_1, all_228_1_117, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.91 | (484) all_230_0_118 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (122) with all_0_0_0, all_230_0_118, all_228_1_117, all_0_1_1, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.92 | (485) all_230_0_118 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (139) with all_230_0_118, all_52_0_63, all_228_1_117, all_0_2_2, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.92 | (486) all_230_0_118 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (139) with all_52_0_63, all_230_0_118, all_0_2_2, all_228_1_117, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.92 | (487) all_230_0_118 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (122) with all_230_0_118, all_52_0_63, all_0_2_2, all_228_1_117, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.92 | (488) all_230_0_118 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (122) with all_52_0_63, all_230_0_118, all_228_1_117, all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.92 | (489) all_230_0_118 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (88) with all_230_0_118, all_43_0_55, all_228_1_117, all_0_2_2, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, distinct_points(all_0_3_3, all_0_5_5) = 0, yields: % 30.85/7.92 | (490) all_230_0_118 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_228_1_117) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (88) with all_43_0_55, all_230_0_118, all_0_2_2, all_228_1_117, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, distinct_points(all_0_3_3, all_0_5_5) = 0, yields: % 30.85/7.92 | (491) all_230_0_118 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_2_2) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (121) with all_230_0_118, all_43_0_55, all_228_1_117, all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 30.85/7.92 | (492) all_230_0_118 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_228_1_117) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (121) with all_43_0_55, all_230_0_118, all_0_2_2, all_228_1_117, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 30.85/7.92 | (493) all_230_0_118 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_2_2) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (43) with all_230_0_118, all_43_0_55, all_228_1_117, all_0_2_2, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.85/7.92 | (494) all_230_0_118 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_2_2, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_228_1_117) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (43) with all_43_0_55, all_230_0_118, all_0_2_2, all_228_1_117, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.85/7.92 | (495) all_230_0_118 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_228_1_117, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_2_2) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (139) with all_230_0_118, all_43_0_55, all_228_1_117, all_0_2_2, all_0_5_5, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.85/7.92 | (496) all_230_0_118 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (139) with all_43_0_55, all_230_0_118, all_0_2_2, all_228_1_117, all_0_5_5, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 30.85/7.92 | (497) all_230_0_118 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (139) with all_230_0_118, all_228_0_116, all_228_1_117, all_228_1_117, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.92 | (498) all_230_0_118 = 0 | all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (139) with all_228_0_116, all_230_0_118, all_228_1_117, all_228_1_117, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.92 | (499) all_230_0_118 = 0 | all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (139) with all_230_0_118, all_232_0_120, all_228_1_117, all_226_1_115, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.92 | (500) all_232_0_120 = 0 | all_230_0_118 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (139) with all_232_0_120, all_230_0_118, all_226_1_115, all_228_1_117, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.92 | (501) all_232_0_120 = 0 | all_230_0_118 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (122) with all_230_0_118, all_232_0_120, all_226_1_115, all_228_1_117, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.92 | (502) all_232_0_120 = 0 | all_230_0_118 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (122) with all_232_0_120, all_230_0_118, all_228_1_117, all_226_1_115, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.92 | (503) all_232_0_120 = 0 | all_230_0_118 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (139) with all_230_0_118, all_50_0_61, all_228_1_117, all_0_1_1, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.92 | (504) all_230_0_118 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (139) with all_50_0_61, all_230_0_118, all_0_1_1, all_228_1_117, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.92 | (505) all_230_0_118 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (122) with all_230_0_118, all_50_0_61, all_0_1_1, all_228_1_117, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.92 | (506) all_230_0_118 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (122) with all_50_0_61, all_230_0_118, all_228_1_117, all_0_1_1, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.92 | (507) all_230_0_118 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (139) with all_230_0_118, all_226_0_114, all_228_1_117, all_226_1_115, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.92 | (508) all_230_0_118 = 0 | all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (139) with all_226_0_114, all_230_0_118, all_226_1_115, all_228_1_117, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.92 | (509) all_230_0_118 = 0 | all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.85/7.92 | % 30.85/7.92 | Instantiating formula (122) with all_230_0_118, all_226_0_114, all_226_1_115, all_228_1_117, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.93 | (510) all_230_0_118 = 0 | all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.85/7.93 | % 30.85/7.93 | Instantiating formula (122) with all_226_0_114, all_230_0_118, all_228_1_117, all_226_1_115, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.93 | (511) all_230_0_118 = 0 | all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.85/7.93 | % 30.85/7.93 | Instantiating formula (88) with all_230_0_118, all_230_0_118, all_228_1_117, all_228_1_117, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, distinct_points(all_0_3_3, all_0_5_5) = 0, yields: % 30.85/7.93 | (512) all_230_0_118 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_228_1_117) = v0)) % 30.85/7.93 | % 30.85/7.93 | Instantiating formula (121) with all_230_0_118, all_230_0_118, all_228_1_117, all_228_1_117, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 30.85/7.93 | (513) all_230_0_118 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_228_1_117) = v0)) % 30.85/7.93 | % 30.85/7.93 | Instantiating formula (43) with all_230_0_118, all_230_0_118, all_228_1_117, all_228_1_117, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.93 | (514) all_230_0_118 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_228_1_117, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_228_1_117) = v0)) % 30.85/7.93 | % 30.85/7.93 | Instantiating formula (139) with all_230_0_118, all_230_0_118, all_228_1_117, all_228_1_117, all_0_5_5, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 30.85/7.93 | (515) all_230_0_118 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0)) % 30.85/7.93 | % 30.85/7.93 | Instantiating formula (139) with all_48_0_59, all_232_0_120, all_0_1_1, all_226_1_115, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_5_5, all_0_1_1) = all_48_0_59, yields: % 30.85/7.93 | (516) all_232_0_120 = 0 | all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 30.85/7.93 | % 30.85/7.93 | Instantiating formula (139) with all_232_0_120, all_48_0_59, all_226_1_115, all_0_1_1, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_5_5, all_0_1_1) = all_48_0_59, yields: % 30.85/7.93 | (517) all_232_0_120 = 0 | all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 30.85/7.93 | % 30.85/7.93 | Instantiating formula (122) with all_48_0_59, all_232_0_120, all_226_1_115, all_0_1_1, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_5_5, all_0_1_1) = all_48_0_59, yields: % 30.85/7.93 | (518) all_232_0_120 = 0 | all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 30.85/7.93 | % 30.85/7.93 | Instantiating formula (122) with all_232_0_120, all_48_0_59, all_0_1_1, all_226_1_115, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_226_1_115) = all_232_0_120, apart_point_and_line(all_0_5_5, all_0_1_1) = all_48_0_59, yields: % 30.85/7.93 | (519) all_232_0_120 = 0 | all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 30.85/7.93 | % 30.85/7.93 | Instantiating formula (139) with all_50_0_61, all_48_0_59, all_0_1_1, all_0_1_1, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_5_5, all_0_1_1) = all_48_0_59, yields: % 30.85/7.93 | (520) all_50_0_61 = 0 | all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 30.85/7.93 | % 30.85/7.93 | Instantiating formula (139) with all_48_0_59, all_226_0_114, all_0_1_1, all_226_1_115, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_5_5, all_0_1_1) = all_48_0_59, yields: % 30.85/7.93 | (521) all_226_0_114 = 0 | all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.85/7.93 | % 30.85/7.93 | Instantiating formula (139) with all_226_0_114, all_48_0_59, all_226_1_115, all_0_1_1, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_5_5, all_0_1_1) = all_48_0_59, yields: % 30.85/7.93 | (522) all_226_0_114 = 0 | all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.85/7.93 | % 30.85/7.93 | Instantiating formula (122) with all_48_0_59, all_226_0_114, all_226_1_115, all_0_1_1, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_5_5, all_0_1_1) = all_48_0_59, yields: % 30.85/7.93 | (523) all_226_0_114 = 0 | all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.85/7.93 | % 30.85/7.93 | Instantiating formula (122) with all_226_0_114, all_48_0_59, all_0_1_1, all_226_1_115, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_5_5, all_0_1_1) = all_48_0_59, yields: % 30.85/7.93 | (524) all_226_0_114 = 0 | all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.85/7.93 | % 30.85/7.93 | Instantiating formula (88) with all_48_0_59, all_230_0_118, all_0_1_1, all_228_1_117, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, apart_point_and_line(all_0_5_5, all_0_1_1) = all_48_0_59, distinct_points(all_0_3_3, all_0_5_5) = 0, yields: % 30.85/7.93 | (525) all_230_0_118 = 0 | all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0)) % 30.85/7.93 | % 30.85/7.93 | Instantiating formula (43) with all_230_0_118, all_48_0_59, all_228_1_117, all_0_1_1, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, apart_point_and_line(all_0_5_5, all_0_1_1) = all_48_0_59, yields: % 30.85/7.93 | (526) all_230_0_118 = 0 | all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_1_1, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0)) % 30.85/7.93 | % 30.85/7.93 | Instantiating formula (82) with all_171_0_98, all_0_1_1, all_0_2_2, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_2_2) = 0, distinct_lines(all_0_2_2, all_0_1_1) = all_171_0_98, yields: % 30.85/7.93 | (527) all_171_0_98 = 0 | apart_point_and_line(all_0_3_3, all_0_1_1) = 0 % 30.85/7.93 | % 30.85/7.93 | Instantiating formula (13) with all_50_0_61, all_171_0_98, all_0_1_1, all_0_2_2, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, distinct_lines(all_0_2_2, all_0_1_1) = all_171_0_98, yields: % 30.85/7.93 | (528) all_171_0_98 = 0 | all_50_0_61 = 0 | ? [v0] : ( ~ (v0 = 0) & apart_point_and_line(all_0_3_3, all_0_2_2) = v0) % 30.85/7.93 | % 30.85/7.93 +-Applying beta-rule and splitting (527), into two cases. % 30.85/7.93 |-Branch one: % 30.85/7.93 | (529) apart_point_and_line(all_0_3_3, all_0_1_1) = 0 % 30.85/7.93 | % 30.85/7.93 +-Applying beta-rule and splitting (480), into two cases. % 30.85/7.93 |-Branch one: % 30.85/7.93 | (530) all_226_0_114 = 0 % 30.85/7.93 | % 30.85/7.93 | Equations (530) can reduce 324 to: % 30.85/7.93 | (168) $false % 30.85/7.93 | % 30.85/7.93 |-The branch is then unsatisfiable % 30.85/7.93 |-Branch two: % 30.85/7.93 | (324) ~ (all_226_0_114 = 0) % 30.85/7.93 | (533) ? [v0] : ((v0 = 0 & convergent_lines(all_226_1_115, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0)) % 30.85/7.93 | % 30.85/7.93 +-Applying beta-rule and splitting (401), into two cases. % 30.85/7.93 |-Branch one: % 30.85/7.93 | (534) all_228_0_116 = 0 % 30.85/7.93 | % 30.85/7.93 | Equations (534) can reduce 328 to: % 30.85/7.93 | (168) $false % 30.85/7.93 | % 30.85/7.93 |-The branch is then unsatisfiable % 30.85/7.93 |-Branch two: % 30.85/7.93 | (328) ~ (all_228_0_116 = 0) % 30.85/7.93 | (537) ? [v0] : ((v0 = 0 & convergent_lines(all_228_1_117, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_228_1_117) = v0)) % 30.85/7.93 | % 30.85/7.93 +-Applying beta-rule and splitting (422), into two cases. % 30.85/7.93 |-Branch one: % 30.85/7.93 | (538) all_232_0_120 = 0 % 30.85/7.93 | % 30.85/7.93 | Equations (538) can reduce 336 to: % 30.85/7.93 | (168) $false % 30.85/7.93 | % 30.85/7.93 |-The branch is then unsatisfiable % 30.85/7.93 |-Branch two: % 30.85/7.93 | (336) ~ (all_232_0_120 = 0) % 30.85/7.93 | (533) ? [v0] : ((v0 = 0 & convergent_lines(all_226_1_115, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0)) % 30.85/7.93 | % 30.85/7.93 +-Applying beta-rule and splitting (514), into two cases. % 30.85/7.93 |-Branch one: % 30.85/7.93 | (542) all_230_0_118 = 0 % 30.85/7.93 | % 30.85/7.93 | Equations (542) can reduce 332 to: % 30.85/7.93 | (168) $false % 30.85/7.93 | % 30.85/7.93 |-The branch is then unsatisfiable % 30.85/7.93 |-Branch two: % 30.85/7.93 | (332) ~ (all_230_0_118 = 0) % 30.85/7.93 | (537) ? [v0] : ((v0 = 0 & convergent_lines(all_228_1_117, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_228_1_117) = v0)) % 30.85/7.93 | % 30.85/7.93 +-Applying beta-rule and splitting (515), into two cases. % 30.85/7.93 |-Branch one: % 30.85/7.93 | (542) all_230_0_118 = 0 % 30.85/7.93 | % 30.85/7.93 | Equations (542) can reduce 332 to: % 30.85/7.93 | (168) $false % 30.85/7.93 | % 30.85/7.93 |-The branch is then unsatisfiable % 30.85/7.93 |-Branch two: % 30.85/7.93 | (332) ~ (all_230_0_118 = 0) % 30.85/7.93 | (549) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0)) % 30.85/7.93 | % 30.85/7.93 +-Applying beta-rule and splitting (513), into two cases. % 30.85/7.93 |-Branch one: % 30.85/7.93 | (542) all_230_0_118 = 0 % 30.85/7.93 | % 30.85/7.93 | Equations (542) can reduce 332 to: % 30.85/7.93 | (168) $false % 30.85/7.93 | % 30.85/7.93 |-The branch is then unsatisfiable % 30.85/7.93 |-Branch two: % 30.85/7.93 | (332) ~ (all_230_0_118 = 0) % 30.85/7.93 | (553) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_228_1_117) = v0)) % 30.85/7.93 | % 30.85/7.93 +-Applying beta-rule and splitting (512), into two cases. % 30.85/7.93 |-Branch one: % 30.85/7.93 | (542) all_230_0_118 = 0 % 30.85/7.93 | % 30.85/7.93 | Equations (542) can reduce 332 to: % 30.85/7.93 | (168) $false % 30.85/7.93 | % 30.85/7.93 |-The branch is then unsatisfiable % 30.85/7.93 |-Branch two: % 30.85/7.93 | (332) ~ (all_230_0_118 = 0) % 30.85/7.93 | (557) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_228_1_117) = v0)) % 30.85/7.93 | % 30.85/7.93 +-Applying beta-rule and splitting (456), into two cases. % 30.85/7.93 |-Branch one: % 30.85/7.93 | (530) all_226_0_114 = 0 % 30.85/7.93 | % 30.85/7.93 | Equations (530) can reduce 324 to: % 30.85/7.93 | (168) $false % 30.85/7.93 | % 30.85/7.93 |-The branch is then unsatisfiable % 30.85/7.93 |-Branch two: % 30.85/7.93 | (324) ~ (all_226_0_114 = 0) % 30.85/7.93 | (561) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_226_1_115, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0)) % 30.85/7.93 | % 30.85/7.93 +-Applying beta-rule and splitting (463), into two cases. % 30.85/7.93 |-Branch one: % 30.85/7.93 | (530) all_226_0_114 = 0 % 30.85/7.93 | % 30.85/7.93 | Equations (530) can reduce 324 to: % 30.85/7.93 | (168) $false % 30.85/7.93 | % 30.85/7.93 |-The branch is then unsatisfiable % 30.85/7.93 |-Branch two: % 30.85/7.93 | (324) ~ (all_226_0_114 = 0) % 30.85/7.93 | (565) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_2_2, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0)) % 30.85/7.93 | % 30.85/7.93 +-Applying beta-rule and splitting (464), into two cases. % 30.85/7.93 |-Branch one: % 30.85/7.93 | (530) all_226_0_114 = 0 % 30.85/7.93 | % 30.85/7.93 | Equations (530) can reduce 324 to: % 30.85/7.93 | (168) $false % 30.85/7.93 | % 30.85/7.93 |-The branch is then unsatisfiable % 30.85/7.93 |-Branch two: % 30.85/7.93 | (324) ~ (all_226_0_114 = 0) % 30.85/7.93 | (569) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_226_1_115, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0)) % 30.85/7.93 | % 30.85/7.94 +-Applying beta-rule and splitting (494), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (542) all_230_0_118 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (542) can reduce 332 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (332) ~ (all_230_0_118 = 0) % 30.85/7.94 | (573) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_2_2, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_228_1_117) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (495), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (542) all_230_0_118 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (542) can reduce 332 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (332) ~ (all_230_0_118 = 0) % 30.85/7.94 | (577) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_228_1_117, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_2_2) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (526), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (542) all_230_0_118 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (542) can reduce 332 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (332) ~ (all_230_0_118 = 0) % 30.85/7.94 | (581) all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_1_1, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (486), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (542) all_230_0_118 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (542) can reduce 332 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (332) ~ (all_230_0_118 = 0) % 30.85/7.94 | (585) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (489), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (542) all_230_0_118 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (542) can reduce 332 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (332) ~ (all_230_0_118 = 0) % 30.85/7.94 | (589) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (496), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (542) all_230_0_118 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (542) can reduce 332 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (332) ~ (all_230_0_118 = 0) % 30.85/7.94 | (593) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (465), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (530) all_226_0_114 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (530) can reduce 324 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (324) ~ (all_226_0_114 = 0) % 30.85/7.94 | (597) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (508), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (542) all_230_0_118 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (542) can reduce 332 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (332) ~ (all_230_0_118 = 0) % 30.85/7.94 | (601) all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (493), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (542) all_230_0_118 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (542) can reduce 332 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (332) ~ (all_230_0_118 = 0) % 30.85/7.94 | (605) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_2_2) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (509), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (542) all_230_0_118 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (542) can reduce 332 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (332) ~ (all_230_0_118 = 0) % 30.85/7.94 | (609) all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (510), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (542) all_230_0_118 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (542) can reduce 332 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (332) ~ (all_230_0_118 = 0) % 30.85/7.94 | (613) all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (470), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (530) all_226_0_114 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (530) can reduce 324 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (324) ~ (all_226_0_114 = 0) % 30.85/7.94 | (617) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (485), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (542) all_230_0_118 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (542) can reduce 332 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (332) ~ (all_230_0_118 = 0) % 30.85/7.94 | (621) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (522), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (530) all_226_0_114 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (530) can reduce 324 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (324) ~ (all_226_0_114 = 0) % 30.85/7.94 | (625) all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (458), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (530) all_226_0_114 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (530) can reduce 324 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (324) ~ (all_226_0_114 = 0) % 30.85/7.94 | (629) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (523), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (530) all_226_0_114 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (530) can reduce 324 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (324) ~ (all_226_0_114 = 0) % 30.85/7.94 | (633) all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (484), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (542) all_230_0_118 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (542) can reduce 332 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (332) ~ (all_230_0_118 = 0) % 30.85/7.94 | (637) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (490), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (542) all_230_0_118 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (542) can reduce 332 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (332) ~ (all_230_0_118 = 0) % 30.85/7.94 | (641) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_228_1_117) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (492), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (542) all_230_0_118 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (542) can reduce 332 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (332) ~ (all_230_0_118 = 0) % 30.85/7.94 | (645) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_228_1_117) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (460), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (530) all_226_0_114 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (530) can reduce 324 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (324) ~ (all_226_0_114 = 0) % 30.85/7.94 | (649) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (461), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (530) all_226_0_114 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (530) can reduce 324 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (324) ~ (all_226_0_114 = 0) % 30.85/7.94 | (653) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (466), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (530) all_226_0_114 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (530) can reduce 324 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (324) ~ (all_226_0_114 = 0) % 30.85/7.94 | (657) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (467), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (530) all_226_0_114 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (530) can reduce 324 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.94 | (324) ~ (all_226_0_114 = 0) % 30.85/7.94 | (661) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.85/7.94 | % 30.85/7.94 +-Applying beta-rule and splitting (498), into two cases. % 30.85/7.94 |-Branch one: % 30.85/7.94 | (542) all_230_0_118 = 0 % 30.85/7.94 | % 30.85/7.94 | Equations (542) can reduce 332 to: % 30.85/7.94 | (168) $false % 30.85/7.94 | % 30.85/7.94 |-The branch is then unsatisfiable % 30.85/7.94 |-Branch two: % 30.85/7.95 | (332) ~ (all_230_0_118 = 0) % 30.85/7.95 | (665) all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (525), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (542) all_230_0_118 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (542) can reduce 332 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (332) ~ (all_230_0_118 = 0) % 30.85/7.95 | (669) all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (457), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (530) all_226_0_114 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (530) can reduce 324 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (324) ~ (all_226_0_114 = 0) % 30.85/7.95 | (673) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (462), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (530) all_226_0_114 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (530) can reduce 324 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (324) ~ (all_226_0_114 = 0) % 30.85/7.95 | (677) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (459), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (530) all_226_0_114 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (530) can reduce 324 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (324) ~ (all_226_0_114 = 0) % 30.85/7.95 | (681) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (488), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (542) all_230_0_118 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (542) can reduce 332 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (332) ~ (all_230_0_118 = 0) % 30.85/7.95 | (685) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (487), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (542) all_230_0_118 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (542) can reduce 332 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (332) ~ (all_230_0_118 = 0) % 30.85/7.95 | (689) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (491), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (542) all_230_0_118 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (542) can reduce 332 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (332) ~ (all_230_0_118 = 0) % 30.85/7.95 | (693) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_2_2) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (497), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (542) all_230_0_118 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (542) can reduce 332 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (332) ~ (all_230_0_118 = 0) % 30.85/7.95 | (697) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (500), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (538) all_232_0_120 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (538) can reduce 336 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (336) ~ (all_232_0_120 = 0) % 30.85/7.95 | (701) all_230_0_118 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (499), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (542) all_230_0_118 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (542) can reduce 332 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (332) ~ (all_230_0_118 = 0) % 30.85/7.95 | (705) all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (468), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (530) all_226_0_114 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (530) can reduce 324 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (324) ~ (all_226_0_114 = 0) % 30.85/7.95 | (709) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (511), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (542) all_230_0_118 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (542) can reduce 332 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (332) ~ (all_230_0_118 = 0) % 30.85/7.95 | (713) all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (469), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (530) all_226_0_114 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (530) can reduce 324 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (324) ~ (all_226_0_114 = 0) % 30.85/7.95 | (717) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (471), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (534) all_228_0_116 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (534) can reduce 328 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (328) ~ (all_228_0_116 = 0) % 30.85/7.95 | (721) all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (482), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (542) all_230_0_118 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (542) can reduce 332 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (332) ~ (all_230_0_118 = 0) % 30.85/7.95 | (725) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (483), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (542) all_230_0_118 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (542) can reduce 332 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (332) ~ (all_230_0_118 = 0) % 30.85/7.95 | (729) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (501), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (538) all_232_0_120 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (538) can reduce 336 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (336) ~ (all_232_0_120 = 0) % 30.85/7.95 | (733) all_230_0_118 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (502), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (538) all_232_0_120 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (538) can reduce 336 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (336) ~ (all_232_0_120 = 0) % 30.85/7.95 | (737) all_230_0_118 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (521), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (530) all_226_0_114 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (530) can reduce 324 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (324) ~ (all_226_0_114 = 0) % 30.85/7.95 | (741) all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (503), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (538) all_232_0_120 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (538) can reduce 336 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (336) ~ (all_232_0_120 = 0) % 30.85/7.95 | (745) all_230_0_118 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (506), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (542) all_230_0_118 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (542) can reduce 332 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (332) ~ (all_230_0_118 = 0) % 30.85/7.95 | (749) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (504), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (542) all_230_0_118 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (542) can reduce 332 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.95 |-The branch is then unsatisfiable % 30.85/7.95 |-Branch two: % 30.85/7.95 | (332) ~ (all_230_0_118 = 0) % 30.85/7.95 | (753) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 30.85/7.95 | % 30.85/7.95 +-Applying beta-rule and splitting (505), into two cases. % 30.85/7.95 |-Branch one: % 30.85/7.95 | (542) all_230_0_118 = 0 % 30.85/7.95 | % 30.85/7.95 | Equations (542) can reduce 332 to: % 30.85/7.95 | (168) $false % 30.85/7.95 | % 30.85/7.96 |-The branch is then unsatisfiable % 30.85/7.96 |-Branch two: % 30.85/7.96 | (332) ~ (all_230_0_118 = 0) % 30.85/7.96 | (757) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 30.85/7.96 | % 30.85/7.96 +-Applying beta-rule and splitting (507), into two cases. % 30.85/7.96 |-Branch one: % 30.85/7.96 | (542) all_230_0_118 = 0 % 30.85/7.96 | % 30.85/7.96 | Equations (542) can reduce 332 to: % 30.85/7.96 | (168) $false % 30.85/7.96 | % 30.85/7.96 |-The branch is then unsatisfiable % 30.85/7.96 |-Branch two: % 30.85/7.96 | (332) ~ (all_230_0_118 = 0) % 30.85/7.96 | (761) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 30.85/7.96 | % 30.85/7.96 +-Applying beta-rule and splitting (518), into two cases. % 30.85/7.96 |-Branch one: % 30.85/7.96 | (538) all_232_0_120 = 0 % 30.85/7.96 | % 30.85/7.96 | Equations (538) can reduce 336 to: % 30.85/7.96 | (168) $false % 30.85/7.96 | % 30.85/7.96 |-The branch is then unsatisfiable % 30.85/7.96 |-Branch two: % 30.85/7.96 | (336) ~ (all_232_0_120 = 0) % 30.85/7.96 | (765) all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 30.85/7.96 | % 30.85/7.96 +-Applying beta-rule and splitting (519), into two cases. % 30.85/7.96 |-Branch one: % 30.85/7.96 | (538) all_232_0_120 = 0 % 30.85/7.96 | % 30.85/7.96 | Equations (538) can reduce 336 to: % 30.85/7.96 | (168) $false % 30.85/7.96 | % 30.85/7.96 |-The branch is then unsatisfiable % 30.85/7.96 |-Branch two: % 30.85/7.96 | (336) ~ (all_232_0_120 = 0) % 30.85/7.96 | (769) all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 30.85/7.96 | % 30.85/7.96 +-Applying beta-rule and splitting (520), into two cases. % 30.85/7.96 |-Branch one: % 30.85/7.96 | (770) all_50_0_61 = 0 % 30.85/7.96 | % 30.85/7.96 | Equations (770) can reduce 395 to: % 30.85/7.96 | (168) $false % 30.85/7.96 | % 30.85/7.96 |-The branch is then unsatisfiable % 30.85/7.96 |-Branch two: % 30.85/7.96 | (395) ~ (all_50_0_61 = 0) % 30.85/7.96 | (773) all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 30.85/7.96 | % 30.85/7.96 +-Applying beta-rule and splitting (524), into two cases. % 30.85/7.96 |-Branch one: % 30.85/7.96 | (530) all_226_0_114 = 0 % 30.85/7.96 | % 30.85/7.96 | Equations (530) can reduce 324 to: % 30.85/7.96 | (168) $false % 30.85/7.96 | % 30.85/7.96 |-The branch is then unsatisfiable % 30.85/7.96 |-Branch two: % 30.85/7.96 | (324) ~ (all_226_0_114 = 0) % 30.85/7.96 | (777) all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 30.85/7.96 | % 30.85/7.96 +-Applying beta-rule and splitting (565), into two cases. % 30.85/7.96 |-Branch one: % 30.85/7.96 | (225) all_52_0_63 = 0 % 30.85/7.96 | % 30.85/7.96 | Equations (225) can reduce 163 to: % 30.85/7.96 | (168) $false % 30.85/7.96 | % 30.85/7.96 |-The branch is then unsatisfiable % 30.85/7.96 |-Branch two: % 30.85/7.96 | (163) ~ (all_52_0_63 = 0) % 30.85/7.96 | (781) ? [v0] : ((v0 = 0 & convergent_lines(all_0_2_2, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0)) % 30.85/7.96 | % 30.85/7.96 +-Applying beta-rule and splitting (677), into two cases. % 30.85/7.96 |-Branch one: % 30.85/7.96 | (225) all_52_0_63 = 0 % 30.85/7.96 | % 30.85/7.96 | Equations (225) can reduce 163 to: % 30.85/7.96 | (168) $false % 30.85/7.96 | % 30.85/7.96 |-The branch is then unsatisfiable % 30.85/7.96 |-Branch two: % 30.85/7.96 | (163) ~ (all_52_0_63 = 0) % 30.85/7.96 | (785) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0)) % 30.85/7.96 | % 30.85/7.96 +-Applying beta-rule and splitting (681), into two cases. % 30.85/7.96 |-Branch one: % 30.85/7.96 | (225) all_52_0_63 = 0 % 30.85/7.96 | % 30.85/7.96 | Equations (225) can reduce 163 to: % 30.85/7.96 | (168) $false % 30.85/7.96 | % 30.85/7.96 |-The branch is then unsatisfiable % 30.85/7.96 |-Branch two: % 30.85/7.96 | (163) ~ (all_52_0_63 = 0) % 30.85/7.96 | (789) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0)) % 30.85/7.96 | % 31.26/7.97 +-Applying beta-rule and splitting (761), into two cases. % 31.26/7.97 |-Branch one: % 31.26/7.97 | (770) all_50_0_61 = 0 % 31.26/7.97 | % 31.26/7.97 | Equations (770) can reduce 395 to: % 31.26/7.97 | (168) $false % 31.26/7.97 | % 31.26/7.97 |-The branch is then unsatisfiable % 31.26/7.97 |-Branch two: % 31.26/7.97 | (395) ~ (all_50_0_61 = 0) % 31.26/7.97 | (793) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 31.26/7.97 | % 31.26/7.97 +-Applying beta-rule and splitting (449), into two cases. % 31.26/7.97 |-Branch one: % 31.26/7.97 | (770) all_50_0_61 = 0 % 31.26/7.97 | % 31.26/7.97 | Equations (770) can reduce 395 to: % 31.26/7.97 | (168) $false % 31.26/7.97 | % 31.26/7.97 |-The branch is then unsatisfiable % 31.26/7.97 |-Branch two: % 31.26/7.97 | (395) ~ (all_50_0_61 = 0) % 31.26/7.97 | (170) ? [v0] : ((v0 = 0 & convergent_lines(all_0_1_1, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0)) % 31.26/7.97 | % 31.26/7.97 +-Applying beta-rule and splitting (450), into two cases. % 31.26/7.97 |-Branch one: % 31.26/7.97 | (770) all_50_0_61 = 0 % 31.26/7.97 | % 31.26/7.97 | Equations (770) can reduce 395 to: % 31.26/7.97 | (168) $false % 31.26/7.97 | % 31.26/7.97 |-The branch is then unsatisfiable % 31.26/7.97 |-Branch two: % 31.26/7.97 | (395) ~ (all_50_0_61 = 0) % 31.26/7.97 | (801) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0)) % 31.26/7.97 | % 31.26/7.97 +-Applying beta-rule and splitting (479), into two cases. % 31.26/7.97 |-Branch one: % 31.26/7.97 | (530) all_226_0_114 = 0 % 31.26/7.97 | % 31.26/7.97 | Equations (530) can reduce 324 to: % 31.26/7.97 | (168) $false % 31.26/7.97 | % 31.26/7.97 |-The branch is then unsatisfiable % 31.26/7.97 |-Branch two: % 31.26/7.97 | (324) ~ (all_226_0_114 = 0) % 31.26/7.97 | (805) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0)) % 31.26/7.97 | % 31.26/7.97 +-Applying beta-rule and splitting (481), into two cases. % 31.26/7.97 |-Branch one: % 31.26/7.97 | (530) all_226_0_114 = 0 % 31.26/7.97 | % 31.26/7.97 | Equations (530) can reduce 324 to: % 31.26/7.97 | (168) $false % 31.26/7.97 | % 31.26/7.97 |-The branch is then unsatisfiable % 31.26/7.97 |-Branch two: % 31.26/7.97 | (324) ~ (all_226_0_114 = 0) % 31.26/7.97 | (809) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 31.26/7.97 | % 31.26/7.97 +-Applying beta-rule and splitting (438), into two cases. % 31.26/7.97 |-Branch one: % 31.26/7.97 | (534) all_228_0_116 = 0 % 31.26/7.97 | % 31.26/7.97 | Equations (534) can reduce 328 to: % 31.26/7.97 | (168) $false % 31.26/7.97 | % 31.26/7.97 |-The branch is then unsatisfiable % 31.26/7.97 |-Branch two: % 31.26/7.97 | (328) ~ (all_228_0_116 = 0) % 31.26/7.97 | (813) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_1_1, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0)) % 31.26/7.97 | % 31.26/7.97 +-Applying beta-rule and splitting (455), into two cases. % 31.26/7.97 |-Branch one: % 31.26/7.97 | (530) all_226_0_114 = 0 % 31.26/7.97 | % 31.26/7.97 | Equations (530) can reduce 324 to: % 31.26/7.97 | (168) $false % 31.26/7.97 | % 31.26/7.97 |-The branch is then unsatisfiable % 31.26/7.97 |-Branch two: % 31.26/7.97 | (324) ~ (all_226_0_114 = 0) % 31.26/7.97 | (817) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_1_1, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0)) % 31.26/7.97 | % 31.26/7.97 +-Applying beta-rule and splitting (437), into two cases. % 31.26/7.97 |-Branch one: % 31.26/7.97 | (534) all_228_0_116 = 0 % 31.26/7.97 | % 31.26/7.97 | Equations (534) can reduce 328 to: % 31.26/7.97 | (168) $false % 31.26/7.97 | % 31.26/7.97 |-The branch is then unsatisfiable % 31.26/7.97 |-Branch two: % 31.26/7.97 | (328) ~ (all_228_0_116 = 0) % 31.26/7.97 | (821) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_228_1_117, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0)) % 31.26/7.97 | % 31.26/7.97 +-Applying beta-rule and splitting (425), into two cases. % 31.26/7.97 |-Branch one: % 31.26/7.97 | (225) all_52_0_63 = 0 % 31.26/7.97 | % 31.26/7.97 | Equations (225) can reduce 163 to: % 31.26/7.97 | (168) $false % 31.26/7.97 | % 31.26/7.97 |-The branch is then unsatisfiable % 31.26/7.97 |-Branch two: % 31.26/7.97 | (163) ~ (all_52_0_63 = 0) % 31.26/7.97 | (825) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 31.26/7.97 | % 31.26/7.97 +-Applying beta-rule and splitting (426), into two cases. % 31.26/7.97 |-Branch one: % 31.26/7.97 | (225) all_52_0_63 = 0 % 31.26/7.97 | % 31.26/7.97 | Equations (225) can reduce 163 to: % 31.26/7.97 | (168) $false % 31.26/7.97 | % 31.26/7.97 |-The branch is then unsatisfiable % 31.26/7.97 |-Branch two: % 31.26/7.97 | (163) ~ (all_52_0_63 = 0) % 31.26/7.97 | (829) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 31.26/7.97 | % 31.26/7.97 +-Applying beta-rule and splitting (400), into two cases. % 31.26/7.97 |-Branch one: % 31.26/7.97 | (534) all_228_0_116 = 0 % 31.26/7.97 | % 31.26/7.97 | Equations (534) can reduce 328 to: % 31.26/7.97 | (168) $false % 31.26/7.97 | % 31.26/7.97 |-The branch is then unsatisfiable % 31.26/7.97 |-Branch two: % 31.26/7.97 | (328) ~ (all_228_0_116 = 0) % 31.26/7.97 | (833) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 31.26/7.97 | % 31.26/7.97 +-Applying beta-rule and splitting (453), into two cases. % 31.26/7.97 |-Branch one: % 31.26/7.97 | (530) all_226_0_114 = 0 % 31.26/7.97 | % 31.26/7.97 | Equations (530) can reduce 324 to: % 31.26/7.97 | (168) $false % 31.26/7.97 | % 31.26/7.97 |-The branch is then unsatisfiable % 31.26/7.97 |-Branch two: % 31.26/7.97 | (324) ~ (all_226_0_114 = 0) % 31.26/7.97 | (837) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0)) % 31.26/7.97 | % 31.26/7.97 +-Applying beta-rule and splitting (454), into two cases. % 31.26/7.97 |-Branch one: % 31.26/7.97 | (530) all_226_0_114 = 0 % 31.26/7.97 | % 31.26/7.97 | Equations (530) can reduce 324 to: % 31.26/7.97 | (168) $false % 31.26/7.97 | % 31.26/7.97 |-The branch is then unsatisfiable % 31.26/7.97 |-Branch two: % 31.26/7.97 | (324) ~ (all_226_0_114 = 0) % 31.26/7.97 | (841) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (436), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (534) all_228_0_116 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (534) can reduce 328 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (328) ~ (all_228_0_116 = 0) % 31.26/7.98 | (845) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (399), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (534) all_228_0_116 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (534) can reduce 328 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (328) ~ (all_228_0_116 = 0) % 31.26/7.98 | (849) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (397), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (534) all_228_0_116 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (534) can reduce 328 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (328) ~ (all_228_0_116 = 0) % 31.26/7.98 | (853) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (398), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (534) all_228_0_116 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (534) can reduce 328 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (328) ~ (all_228_0_116 = 0) % 31.26/7.98 | (857) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (427), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (225) all_52_0_63 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (225) can reduce 163 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (163) ~ (all_52_0_63 = 0) % 31.26/7.98 | (861) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (428), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (225) all_52_0_63 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (225) can reduce 163 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (163) ~ (all_52_0_63 = 0) % 31.26/7.98 | (865) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (431), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (770) all_50_0_61 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (770) can reduce 395 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (395) ~ (all_50_0_61 = 0) % 31.26/7.98 | (869) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (429), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (770) all_50_0_61 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (770) can reduce 395 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (395) ~ (all_50_0_61 = 0) % 31.26/7.98 | (873) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (430), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (770) all_50_0_61 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (770) can reduce 395 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (395) ~ (all_50_0_61 = 0) % 31.26/7.98 | (877) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (434), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (534) all_228_0_116 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (534) can reduce 328 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (328) ~ (all_228_0_116 = 0) % 31.26/7.98 | (881) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (432), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (770) all_50_0_61 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (770) can reduce 395 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (395) ~ (all_50_0_61 = 0) % 31.26/7.98 | (885) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (439), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (534) all_228_0_116 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (534) can reduce 328 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (328) ~ (all_228_0_116 = 0) % 31.26/7.98 | (889) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (440), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (534) all_228_0_116 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (534) can reduce 328 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (328) ~ (all_228_0_116 = 0) % 31.26/7.98 | (893) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (433), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (534) all_228_0_116 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (534) can reduce 328 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (328) ~ (all_228_0_116 = 0) % 31.26/7.98 | (897) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (435), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (534) all_228_0_116 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (534) can reduce 328 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (328) ~ (all_228_0_116 = 0) % 31.26/7.98 | (901) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (452), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (530) all_226_0_114 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (530) can reduce 324 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (324) ~ (all_226_0_114 = 0) % 31.26/7.98 | (905) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (813), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (770) all_50_0_61 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (770) can reduce 395 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (395) ~ (all_50_0_61 = 0) % 31.26/7.98 | (909) ? [v0] : ((v0 = 0 & convergent_lines(all_0_1_1, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (861), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (770) all_50_0_61 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (770) can reduce 395 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (395) ~ (all_50_0_61 = 0) % 31.26/7.98 | (913) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (893), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (770) all_50_0_61 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (770) can reduce 395 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (395) ~ (all_50_0_61 = 0) % 31.26/7.98 | (917) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (897), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (770) all_50_0_61 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (770) can reduce 395 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (395) ~ (all_50_0_61 = 0) % 31.26/7.98 | (921) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (421), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (538) all_232_0_120 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (538) can reduce 336 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (336) ~ (all_232_0_120 = 0) % 31.26/7.98 | (805) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0)) % 31.26/7.98 | % 31.26/7.98 +-Applying beta-rule and splitting (424), into two cases. % 31.26/7.98 |-Branch one: % 31.26/7.98 | (770) all_50_0_61 = 0 % 31.26/7.98 | % 31.26/7.98 | Equations (770) can reduce 395 to: % 31.26/7.98 | (168) $false % 31.26/7.98 | % 31.26/7.98 |-The branch is then unsatisfiable % 31.26/7.98 |-Branch two: % 31.26/7.98 | (395) ~ (all_50_0_61 = 0) % 31.26/7.98 | (929) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 31.26/7.99 | % 31.26/7.99 +-Applying beta-rule and splitting (845), into two cases. % 31.26/7.99 |-Branch one: % 31.26/7.99 | (770) all_50_0_61 = 0 % 31.26/7.99 | % 31.26/7.99 | Equations (770) can reduce 395 to: % 31.26/7.99 | (168) $false % 31.26/7.99 | % 31.26/7.99 |-The branch is then unsatisfiable % 31.26/7.99 |-Branch two: % 31.26/7.99 | (395) ~ (all_50_0_61 = 0) % 31.26/7.99 | (933) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0)) % 31.26/7.99 | % 31.26/7.99 +-Applying beta-rule and splitting (865), into two cases. % 31.26/7.99 |-Branch one: % 31.26/7.99 | (770) all_50_0_61 = 0 % 31.26/7.99 | % 31.26/7.99 | Equations (770) can reduce 395 to: % 31.26/7.99 | (168) $false % 31.26/7.99 | % 31.26/7.99 |-The branch is then unsatisfiable % 31.26/7.99 |-Branch two: % 31.26/7.99 | (395) ~ (all_50_0_61 = 0) % 31.26/7.99 | (937) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 31.26/7.99 | % 31.26/7.99 +-Applying beta-rule and splitting (881), into two cases. % 31.26/7.99 |-Branch one: % 31.26/7.99 | (770) all_50_0_61 = 0 % 31.26/7.99 | % 31.26/7.99 | Equations (770) can reduce 395 to: % 31.26/7.99 | (168) $false % 31.26/7.99 | % 31.26/7.99 |-The branch is then unsatisfiable % 31.26/7.99 |-Branch two: % 31.26/7.99 | (395) ~ (all_50_0_61 = 0) % 31.26/7.99 | (941) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0)) % 31.26/7.99 | % 31.26/7.99 +-Applying beta-rule and splitting (901), into two cases. % 31.26/7.99 |-Branch one: % 31.26/7.99 | (770) all_50_0_61 = 0 % 31.26/7.99 | % 31.26/7.99 | Equations (770) can reduce 395 to: % 31.26/7.99 | (168) $false % 31.26/7.99 | % 31.26/7.99 |-The branch is then unsatisfiable % 31.26/7.99 |-Branch two: % 31.26/7.99 | (395) ~ (all_50_0_61 = 0) % 31.26/7.99 | (945) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0)) % 31.26/7.99 | % 31.26/7.99 +-Applying beta-rule and splitting (609), into two cases. % 31.26/7.99 |-Branch one: % 31.26/7.99 | (530) all_226_0_114 = 0 % 31.26/7.99 | % 31.26/7.99 | Equations (530) can reduce 324 to: % 31.26/7.99 | (168) $false % 31.26/7.99 | % 31.26/7.99 |-The branch is then unsatisfiable % 31.26/7.99 |-Branch two: % 31.26/7.99 | (324) ~ (all_226_0_114 = 0) % 31.26/7.99 | (949) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 31.26/7.99 | % 31.26/7.99 +-Applying beta-rule and splitting (713), into two cases. % 31.26/7.99 |-Branch one: % 31.26/7.99 | (530) all_226_0_114 = 0 % 31.26/7.99 | % 31.26/7.99 | Equations (530) can reduce 324 to: % 31.26/7.99 | (168) $false % 31.26/7.99 | % 31.26/7.99 |-The branch is then unsatisfiable % 31.26/7.99 |-Branch two: % 31.26/7.99 | (324) ~ (all_226_0_114 = 0) % 31.26/7.99 | (953) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 31.26/7.99 | % 31.26/7.99 +-Applying beta-rule and splitting (753), into two cases. % 31.26/7.99 |-Branch one: % 31.26/7.99 | (770) all_50_0_61 = 0 % 31.26/7.99 | % 31.26/7.99 | Equations (770) can reduce 395 to: % 31.26/7.99 | (168) $false % 31.26/7.99 | % 31.26/7.99 |-The branch is then unsatisfiable % 31.26/7.99 |-Branch two: % 31.26/7.99 | (395) ~ (all_50_0_61 = 0) % 31.26/7.99 | (957) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 31.26/7.99 | % 31.26/7.99 +-Applying beta-rule and splitting (757), into two cases. % 31.26/7.99 |-Branch one: % 31.26/7.99 | (770) all_50_0_61 = 0 % 31.26/7.99 | % 31.26/7.99 | Equations (770) can reduce 395 to: % 31.26/7.99 | (168) $false % 31.26/7.99 | % 31.26/7.99 |-The branch is then unsatisfiable % 31.26/7.99 |-Branch two: % 31.26/7.99 | (395) ~ (all_50_0_61 = 0) % 31.26/7.99 | (961) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 31.26/7.99 | % 31.26/7.99 +-Applying beta-rule and splitting (516), into two cases. % 31.26/7.99 |-Branch one: % 31.26/7.99 | (538) all_232_0_120 = 0 % 31.26/7.99 | % 31.26/7.99 | Equations (538) can reduce 336 to: % 31.26/7.99 | (168) $false % 31.26/7.99 | % 31.26/7.99 |-The branch is then unsatisfiable % 31.26/7.99 |-Branch two: % 31.26/7.99 | (336) ~ (all_232_0_120 = 0) % 31.26/7.99 | (965) all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 31.26/7.99 | % 31.26/7.99 +-Applying beta-rule and splitting (517), into two cases. % 31.26/7.99 |-Branch one: % 31.26/7.99 | (538) all_232_0_120 = 0 % 31.26/7.99 | % 31.26/7.99 | Equations (538) can reduce 336 to: % 31.26/7.99 | (168) $false % 31.26/7.99 | % 31.26/7.99 |-The branch is then unsatisfiable % 31.26/7.99 |-Branch two: % 31.26/7.99 | (336) ~ (all_232_0_120 = 0) % 31.26/7.99 | (969) all_48_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 31.26/7.99 | % 31.26/7.99 +-Applying beta-rule and splitting (423), into two cases. % 31.26/7.99 |-Branch one: % 31.26/7.99 | (538) all_232_0_120 = 0 % 31.26/7.99 | % 31.26/7.99 | Equations (538) can reduce 336 to: % 31.26/7.99 | (168) $false % 31.26/7.99 | % 31.26/7.99 |-The branch is then unsatisfiable % 31.26/7.99 |-Branch two: % 31.26/7.99 | (336) ~ (all_232_0_120 = 0) % 31.26/7.99 | (973) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0)) % 31.26/7.99 | % 31.26/7.99 +-Applying beta-rule and splitting (402), into two cases. % 31.26/7.99 |-Branch one: % 31.26/7.99 | (538) all_232_0_120 = 0 % 31.26/7.99 | % 31.26/7.99 | Equations (538) can reduce 336 to: % 31.26/7.99 | (168) $false % 31.26/7.99 | % 31.26/7.99 |-The branch is then unsatisfiable % 31.26/7.99 |-Branch two: % 31.26/7.99 | (336) ~ (all_232_0_120 = 0) % 31.26/7.99 | (977) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 31.26/7.99 | % 31.26/7.99 +-Applying beta-rule and splitting (721), into two cases. % 31.26/7.99 |-Branch one: % 31.26/7.99 | (530) all_226_0_114 = 0 % 31.26/7.99 | % 31.26/7.99 | Equations (530) can reduce 324 to: % 31.26/7.99 | (168) $false % 31.26/7.99 | % 31.26/7.99 |-The branch is then unsatisfiable % 31.26/7.99 |-Branch two: % 31.26/7.99 | (324) ~ (all_226_0_114 = 0) % 31.26/7.99 | (981) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 31.26/7.99 | % 31.26/7.99 +-Applying beta-rule and splitting (420), into two cases. % 31.26/7.99 |-Branch one: % 31.26/7.99 | (538) all_232_0_120 = 0 % 31.26/7.99 | % 31.26/7.99 | Equations (538) can reduce 336 to: % 31.26/7.99 | (168) $false % 31.26/7.99 | % 31.26/7.99 |-The branch is then unsatisfiable % 31.26/7.99 |-Branch two: % 31.26/7.99 | (336) ~ (all_232_0_120 = 0) % 31.26/7.99 | (985) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0)) % 31.26/7.99 | % 31.26/7.99 +-Applying beta-rule and splitting (478), into two cases. % 31.26/7.99 |-Branch one: % 31.26/7.99 | (530) all_226_0_114 = 0 % 31.26/7.99 | % 31.26/7.99 | Equations (530) can reduce 324 to: % 31.26/7.99 | (168) $false % 31.26/7.99 | % 31.26/7.99 |-The branch is then unsatisfiable % 31.26/7.99 |-Branch two: % 31.26/7.99 | (324) ~ (all_226_0_114 = 0) % 31.26/7.99 | (989) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0)) % 31.26/7.99 | % 31.26/7.99 +-Applying beta-rule and splitting (416), into two cases. % 31.26/7.99 |-Branch one: % 31.26/7.99 | (538) all_232_0_120 = 0 % 31.26/7.99 | % 31.26/7.99 | Equations (538) can reduce 336 to: % 31.26/7.99 | (168) $false % 31.26/7.99 | % 31.26/7.99 |-The branch is then unsatisfiable % 31.26/7.99 |-Branch two: % 31.26/7.99 | (336) ~ (all_232_0_120 = 0) % 31.26/7.99 | (993) all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_228_1_117, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_226_1_115) = v0)) % 31.26/7.99 | % 31.26/7.99 +-Applying beta-rule and splitting (417), into two cases. % 31.26/7.99 |-Branch one: % 31.26/7.99 | (538) all_232_0_120 = 0 % 31.26/7.99 | % 31.26/7.99 | Equations (538) can reduce 336 to: % 31.26/7.99 | (168) $false % 31.26/7.99 | % 31.26/7.99 |-The branch is then unsatisfiable % 31.26/7.99 |-Branch two: % 31.26/7.99 | (336) ~ (all_232_0_120 = 0) % 31.26/7.99 | (997) all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_226_1_115, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_228_1_117) = v0)) % 31.38/7.99 | % 31.38/7.99 +-Applying beta-rule and splitting (451), into two cases. % 31.38/7.99 |-Branch one: % 31.38/7.99 | (530) all_226_0_114 = 0 % 31.38/7.99 | % 31.38/7.99 | Equations (530) can reduce 324 to: % 31.38/7.99 | (168) $false % 31.38/7.99 | % 31.38/7.99 |-The branch is then unsatisfiable % 31.38/7.99 |-Branch two: % 31.38/7.99 | (324) ~ (all_226_0_114 = 0) % 31.38/7.99 | (1001) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0)) % 31.38/7.99 | % 31.38/7.99 +-Applying beta-rule and splitting (404), into two cases. % 31.38/7.99 |-Branch one: % 31.38/7.99 | (538) all_232_0_120 = 0 % 31.38/7.99 | % 31.38/7.99 | Equations (538) can reduce 336 to: % 31.38/7.99 | (168) $false % 31.38/7.99 | % 31.38/7.99 |-The branch is then unsatisfiable % 31.38/7.99 |-Branch two: % 31.38/7.99 | (336) ~ (all_232_0_120 = 0) % 31.38/7.99 | (1005) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 31.38/7.99 | % 31.38/7.99 +-Applying beta-rule and splitting (477), into two cases. % 31.38/7.99 |-Branch one: % 31.38/7.99 | (530) all_226_0_114 = 0 % 31.38/7.99 | % 31.38/7.99 | Equations (530) can reduce 324 to: % 31.38/7.99 | (168) $false % 31.38/7.99 | % 31.38/7.99 |-The branch is then unsatisfiable % 31.38/7.99 |-Branch two: % 31.38/7.99 | (324) ~ (all_226_0_114 = 0) % 31.38/7.99 | (1009) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 31.38/7.99 | % 31.38/7.99 +-Applying beta-rule and splitting (419), into two cases. % 31.38/7.99 |-Branch one: % 31.38/7.99 | (538) all_232_0_120 = 0 % 31.38/7.99 | % 31.38/7.99 | Equations (538) can reduce 336 to: % 31.38/7.99 | (168) $false % 31.38/7.99 | % 31.38/7.99 |-The branch is then unsatisfiable % 31.38/7.99 |-Branch two: % 31.38/7.99 | (336) ~ (all_232_0_120 = 0) % 31.38/7.99 | (1013) all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0)) % 31.38/7.99 | % 31.38/7.99 +-Applying beta-rule and splitting (403), into two cases. % 31.38/7.99 |-Branch one: % 31.38/7.99 | (538) all_232_0_120 = 0 % 31.38/7.99 | % 31.38/7.99 | Equations (538) can reduce 336 to: % 31.38/7.99 | (168) $false % 31.38/7.99 | % 31.38/7.99 |-The branch is then unsatisfiable % 31.38/7.99 |-Branch two: % 31.38/7.99 | (336) ~ (all_232_0_120 = 0) % 31.38/7.99 | (1017) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 31.38/7.99 | % 31.38/7.99 +-Applying beta-rule and splitting (415), into two cases. % 31.38/7.99 |-Branch one: % 31.38/7.99 | (538) all_232_0_120 = 0 % 31.38/7.99 | % 31.38/7.99 | Equations (538) can reduce 336 to: % 31.38/7.99 | (168) $false % 31.38/7.99 | % 31.38/7.99 |-The branch is then unsatisfiable % 31.38/7.99 |-Branch two: % 31.38/7.99 | (336) ~ (all_232_0_120 = 0) % 31.38/7.99 | (1021) all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_228_1_117) = v0)) % 31.38/8.00 | % 31.38/8.00 +-Applying beta-rule and splitting (473), into two cases. % 31.38/8.00 |-Branch one: % 31.38/8.00 | (538) all_232_0_120 = 0 % 31.38/8.00 | % 31.38/8.00 | Equations (538) can reduce 336 to: % 31.38/8.00 | (168) $false % 31.38/8.00 | % 31.38/8.00 |-The branch is then unsatisfiable % 31.38/8.00 |-Branch two: % 31.38/8.00 | (336) ~ (all_232_0_120 = 0) % 31.38/8.00 | (1025) all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 31.38/8.00 | % 31.38/8.00 +-Applying beta-rule and splitting (474), into two cases. % 31.38/8.00 |-Branch one: % 31.38/8.00 | (530) all_226_0_114 = 0 % 31.38/8.00 | % 31.38/8.00 | Equations (530) can reduce 324 to: % 31.38/8.00 | (168) $false % 31.38/8.00 | % 31.38/8.00 |-The branch is then unsatisfiable % 31.38/8.00 |-Branch two: % 31.38/8.00 | (324) ~ (all_226_0_114 = 0) % 31.38/8.00 | (1029) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 31.38/8.00 | % 31.38/8.00 +-Applying beta-rule and splitting (472), into two cases. % 31.38/8.00 |-Branch one: % 31.38/8.00 | (538) all_232_0_120 = 0 % 31.38/8.00 | % 31.38/8.00 | Equations (538) can reduce 336 to: % 31.38/8.00 | (168) $false % 31.38/8.00 | % 31.38/8.00 |-The branch is then unsatisfiable % 31.38/8.00 |-Branch two: % 31.38/8.00 | (336) ~ (all_232_0_120 = 0) % 31.38/8.00 | (1033) all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 31.38/8.00 | % 31.38/8.00 +-Applying beta-rule and splitting (475), into two cases. % 31.38/8.00 |-Branch one: % 31.38/8.00 | (530) all_226_0_114 = 0 % 31.38/8.00 | % 31.38/8.00 | Equations (530) can reduce 324 to: % 31.38/8.00 | (168) $false % 31.38/8.00 | % 31.38/8.00 |-The branch is then unsatisfiable % 31.38/8.00 |-Branch two: % 31.38/8.00 | (324) ~ (all_226_0_114 = 0) % 31.38/8.00 | (1037) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 31.38/8.00 | % 31.38/8.00 +-Applying beta-rule and splitting (476), into two cases. % 31.38/8.00 |-Branch one: % 31.38/8.00 | (530) all_226_0_114 = 0 % 31.38/8.00 | % 31.38/8.00 | Equations (530) can reduce 324 to: % 31.38/8.00 | (168) $false % 31.38/8.00 | % 31.38/8.00 |-The branch is then unsatisfiable % 31.38/8.00 |-Branch two: % 31.38/8.00 | (324) ~ (all_226_0_114 = 0) % 31.38/8.00 | (1041) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 31.38/8.00 | % 31.38/8.00 +-Applying beta-rule and splitting (749), into two cases. % 31.38/8.00 |-Branch one: % 31.38/8.00 | (770) all_50_0_61 = 0 % 31.38/8.00 | % 31.38/8.00 | Equations (770) can reduce 395 to: % 31.38/8.00 | (168) $false % 31.38/8.00 | % 31.38/8.00 |-The branch is then unsatisfiable % 31.38/8.00 |-Branch two: % 31.38/8.00 | (395) ~ (all_50_0_61 = 0) % 31.38/8.00 | (1045) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 31.38/8.00 | % 31.38/8.00 +-Applying beta-rule and splitting (1009), into two cases. % 31.38/8.00 |-Branch one: % 31.38/8.00 | (770) all_50_0_61 = 0 % 31.38/8.00 | % 31.38/8.00 | Equations (770) can reduce 395 to: % 31.38/8.00 | (168) $false % 31.38/8.00 | % 31.38/8.00 |-The branch is then unsatisfiable % 31.38/8.00 |-Branch two: % 31.38/8.00 | (395) ~ (all_50_0_61 = 0) % 31.38/8.00 | (1049) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 31.38/8.00 | % 31.38/8.00 +-Applying beta-rule and splitting (1041), into two cases. % 31.38/8.00 |-Branch one: % 31.38/8.00 | (770) all_50_0_61 = 0 % 31.38/8.00 | % 31.38/8.00 | Equations (770) can reduce 395 to: % 31.38/8.00 | (168) $false % 31.38/8.00 | % 31.38/8.00 |-The branch is then unsatisfiable % 31.38/8.00 |-Branch two: % 31.38/8.00 | (395) ~ (all_50_0_61 = 0) % 31.38/8.00 | (1053) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 31.38/8.00 | % 31.38/8.00 +-Applying beta-rule and splitting (528), into two cases. % 31.38/8.00 |-Branch one: % 31.38/8.00 | (379) all_171_0_98 = 0 % 31.38/8.00 | % 31.38/8.00 | Equations (379) can reduce 389 to: % 31.38/8.00 | (168) $false % 31.38/8.00 | % 31.38/8.00 |-The branch is then unsatisfiable % 31.38/8.00 |-Branch two: % 31.38/8.00 | (389) ~ (all_171_0_98 = 0) % 31.38/8.00 | (1057) all_50_0_61 = 0 | ? [v0] : ( ~ (v0 = 0) & apart_point_and_line(all_0_3_3, all_0_2_2) = v0) % 31.38/8.00 | % 31.38/8.00 +-Applying beta-rule and splitting (1057), into two cases. % 31.38/8.00 |-Branch one: % 31.38/8.00 | (770) all_50_0_61 = 0 % 31.38/8.00 | % 31.38/8.00 | Equations (770) can reduce 395 to: % 31.38/8.00 | (168) $false % 31.38/8.00 | % 31.38/8.00 |-The branch is then unsatisfiable % 31.38/8.00 |-Branch two: % 31.38/8.00 | (395) ~ (all_50_0_61 = 0) % 31.38/8.00 | (1061) ? [v0] : ( ~ (v0 = 0) & apart_point_and_line(all_0_3_3, all_0_2_2) = v0) % 31.38/8.00 | % 31.38/8.00 +-Applying beta-rule and splitting (445), into two cases. % 31.38/8.00 |-Branch one: % 31.38/8.00 | (538) all_232_0_120 = 0 % 31.38/8.00 | % 31.38/8.00 | Equations (538) can reduce 336 to: % 31.38/8.00 | (168) $false % 31.38/8.00 | % 31.38/8.00 |-The branch is then unsatisfiable % 31.38/8.00 |-Branch two: % 31.38/8.00 | (336) ~ (all_232_0_120 = 0) % 31.38/8.00 | (1065) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_226_1_115, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0)) % 31.38/8.00 | % 31.38/8.00 +-Applying beta-rule and splitting (446), into two cases. % 31.38/8.00 |-Branch one: % 31.38/8.00 | (538) all_232_0_120 = 0 % 31.38/8.00 | % 31.38/8.00 | Equations (538) can reduce 336 to: % 31.38/8.00 | (168) $false % 31.38/8.00 | % 31.38/8.00 |-The branch is then unsatisfiable % 31.38/8.00 |-Branch two: % 31.38/8.00 | (336) ~ (all_232_0_120 = 0) % 31.38/8.00 | (1069) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_1_1, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0)) % 31.38/8.00 | % 31.38/8.00 +-Applying beta-rule and splitting (413), into two cases. % 31.38/8.00 |-Branch one: % 31.38/8.00 | (538) all_232_0_120 = 0 % 31.38/8.00 | % 31.38/8.00 | Equations (538) can reduce 336 to: % 31.38/8.00 | (168) $false % 31.38/8.00 | % 31.38/8.00 |-The branch is then unsatisfiable % 31.38/8.00 |-Branch two: % 31.38/8.00 | (336) ~ (all_232_0_120 = 0) % 31.38/8.00 | (1073) all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_228_1_117) = v0)) % 31.38/8.00 | % 31.38/8.00 +-Applying beta-rule and splitting (405), into two cases. % 31.38/8.00 |-Branch one: % 31.38/8.00 | (538) all_232_0_120 = 0 % 31.38/8.00 | % 31.38/8.00 | Equations (538) can reduce 336 to: % 31.38/8.00 | (168) $false % 31.38/8.00 | % 31.38/8.00 |-The branch is then unsatisfiable % 31.38/8.00 |-Branch two: % 31.38/8.00 | (336) ~ (all_232_0_120 = 0) % 31.38/8.00 | (1077) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 31.38/8.00 | % 31.38/8.00 +-Applying beta-rule and splitting (406), into two cases. % 31.38/8.00 |-Branch one: % 31.38/8.00 | (538) all_232_0_120 = 0 % 31.38/8.00 | % 31.38/8.00 | Equations (538) can reduce 336 to: % 31.38/8.00 | (168) $false % 31.38/8.00 | % 31.38/8.00 |-The branch is then unsatisfiable % 31.38/8.00 |-Branch two: % 31.38/8.00 | (336) ~ (all_232_0_120 = 0) % 31.38/8.00 | (1081) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 31.38/8.00 | % 31.38/8.00 +-Applying beta-rule and splitting (412), into two cases. % 31.38/8.00 |-Branch one: % 31.38/8.00 | (538) all_232_0_120 = 0 % 31.38/8.00 | % 31.38/8.00 | Equations (538) can reduce 336 to: % 31.38/8.00 | (168) $false % 31.38/8.00 | % 31.38/8.00 |-The branch is then unsatisfiable % 31.38/8.00 |-Branch two: % 31.38/8.00 | (336) ~ (all_232_0_120 = 0) % 31.38/8.00 | (1085) all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_226_1_115) = v0)) % 31.38/8.00 | % 31.38/8.00 +-Applying beta-rule and splitting (414), into two cases. % 31.38/8.00 |-Branch one: % 31.38/8.00 | (538) all_232_0_120 = 0 % 31.38/8.00 | % 31.38/8.00 | Equations (538) can reduce 336 to: % 31.38/8.00 | (168) $false % 31.38/8.00 | % 31.38/8.00 |-The branch is then unsatisfiable % 31.38/8.00 |-Branch two: % 31.38/8.00 | (336) ~ (all_232_0_120 = 0) % 31.38/8.00 | (1089) all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_226_1_115) = v0)) % 31.38/8.00 | % 31.38/8.00 +-Applying beta-rule and splitting (407), into two cases. % 31.38/8.00 |-Branch one: % 31.38/8.00 | (538) all_232_0_120 = 0 % 31.38/8.00 | % 31.38/8.00 | Equations (538) can reduce 336 to: % 31.38/8.00 | (168) $false % 31.38/8.00 | % 31.38/8.00 |-The branch is then unsatisfiable % 31.38/8.00 |-Branch two: % 31.38/8.00 | (336) ~ (all_232_0_120 = 0) % 31.38/8.00 | (1093) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 31.38/8.00 | % 31.38/8.00 +-Applying beta-rule and splitting (409), into two cases. % 31.38/8.00 |-Branch one: % 31.38/8.00 | (538) all_232_0_120 = 0 % 31.38/8.00 | % 31.38/8.00 | Equations (538) can reduce 336 to: % 31.38/8.00 | (168) $false % 31.38/8.00 | % 31.38/8.00 |-The branch is then unsatisfiable % 31.38/8.00 |-Branch two: % 31.38/8.00 | (336) ~ (all_232_0_120 = 0) % 31.38/8.00 | (1097) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 31.38/8.01 | % 31.38/8.01 +-Applying beta-rule and splitting (418), into two cases. % 31.38/8.01 |-Branch one: % 31.38/8.01 | (538) all_232_0_120 = 0 % 31.38/8.01 | % 31.38/8.01 | Equations (538) can reduce 336 to: % 31.38/8.01 | (168) $false % 31.38/8.01 | % 31.38/8.01 |-The branch is then unsatisfiable % 31.38/8.01 |-Branch two: % 31.38/8.01 | (336) ~ (all_232_0_120 = 0) % 31.38/8.01 | (1101) all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0)) % 31.38/8.01 | % 31.38/8.01 +-Applying beta-rule and splitting (408), into two cases. % 31.38/8.01 |-Branch one: % 31.38/8.01 | (538) all_232_0_120 = 0 % 31.38/8.01 | % 31.38/8.01 | Equations (538) can reduce 336 to: % 31.38/8.01 | (168) $false % 31.38/8.01 | % 31.38/8.01 |-The branch is then unsatisfiable % 31.38/8.01 |-Branch two: % 31.38/8.01 | (336) ~ (all_232_0_120 = 0) % 31.38/8.01 | (1105) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 31.38/8.01 | % 31.38/8.01 +-Applying beta-rule and splitting (410), into two cases. % 31.38/8.01 |-Branch one: % 31.38/8.01 | (538) all_232_0_120 = 0 % 31.38/8.01 | % 31.38/8.01 | Equations (538) can reduce 336 to: % 31.38/8.01 | (168) $false % 31.38/8.01 | % 31.38/8.01 |-The branch is then unsatisfiable % 31.38/8.01 |-Branch two: % 31.38/8.01 | (336) ~ (all_232_0_120 = 0) % 31.38/8.01 | (1109) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 31.38/8.01 | % 31.38/8.01 +-Applying beta-rule and splitting (411), into two cases. % 31.38/8.01 |-Branch one: % 31.38/8.01 | (538) all_232_0_120 = 0 % 31.38/8.01 | % 31.38/8.01 | Equations (538) can reduce 336 to: % 31.38/8.01 | (168) $false % 31.38/8.01 | % 31.38/8.01 |-The branch is then unsatisfiable % 31.38/8.01 |-Branch two: % 31.38/8.01 | (336) ~ (all_232_0_120 = 0) % 31.38/8.01 | (1113) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 31.38/8.01 | % 31.38/8.01 +-Applying beta-rule and splitting (443), into two cases. % 31.38/8.01 |-Branch one: % 31.38/8.01 | (538) all_232_0_120 = 0 % 31.38/8.01 | % 31.38/8.01 | Equations (538) can reduce 336 to: % 31.38/8.01 | (168) $false % 31.38/8.01 | % 31.38/8.01 |-The branch is then unsatisfiable % 31.38/8.01 |-Branch two: % 31.38/8.01 | (336) ~ (all_232_0_120 = 0) % 31.38/8.01 | (1117) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0)) % 31.38/8.01 | % 31.38/8.01 +-Applying beta-rule and splitting (447), into two cases. % 31.38/8.01 |-Branch one: % 31.38/8.01 | (538) all_232_0_120 = 0 % 31.38/8.01 | % 31.38/8.01 | Equations (538) can reduce 336 to: % 31.38/8.01 | (168) $false % 31.38/8.01 | % 31.38/8.01 |-The branch is then unsatisfiable % 31.38/8.01 |-Branch two: % 31.38/8.01 | (336) ~ (all_232_0_120 = 0) % 31.38/8.01 | (1121) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0)) % 31.38/8.01 | % 31.38/8.01 +-Applying beta-rule and splitting (448), into two cases. % 31.38/8.01 |-Branch one: % 31.38/8.01 | (538) all_232_0_120 = 0 % 31.38/8.01 | % 31.38/8.01 | Equations (538) can reduce 336 to: % 31.38/8.01 | (168) $false % 31.38/8.01 | % 31.38/8.01 |-The branch is then unsatisfiable % 31.38/8.01 |-Branch two: % 31.38/8.01 | (336) ~ (all_232_0_120 = 0) % 31.38/8.01 | (1125) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0)) % 31.38/8.01 | % 31.38/8.01 +-Applying beta-rule and splitting (441), into two cases. % 31.38/8.01 |-Branch one: % 31.38/8.01 | (538) all_232_0_120 = 0 % 31.38/8.01 | % 31.38/8.01 | Equations (538) can reduce 336 to: % 31.38/8.01 | (168) $false % 31.38/8.01 | % 31.38/8.01 |-The branch is then unsatisfiable % 31.38/8.01 |-Branch two: % 31.38/8.01 | (336) ~ (all_232_0_120 = 0) % 31.38/8.01 | (1129) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0)) % 31.38/8.01 | % 31.38/8.01 +-Applying beta-rule and splitting (442), into two cases. % 31.38/8.01 |-Branch one: % 31.38/8.01 | (538) all_232_0_120 = 0 % 31.38/8.01 | % 31.38/8.01 | Equations (538) can reduce 336 to: % 31.38/8.01 | (168) $false % 31.38/8.01 | % 31.38/8.01 |-The branch is then unsatisfiable % 31.38/8.01 |-Branch two: % 31.38/8.01 | (336) ~ (all_232_0_120 = 0) % 31.38/8.01 | (1133) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0)) % 31.38/8.01 | % 31.38/8.01 +-Applying beta-rule and splitting (444), into two cases. % 31.38/8.01 |-Branch one: % 31.38/8.01 | (538) all_232_0_120 = 0 % 31.38/8.01 | % 31.38/8.01 | Equations (538) can reduce 336 to: % 31.38/8.01 | (168) $false % 31.38/8.01 | % 31.38/8.01 |-The branch is then unsatisfiable % 31.38/8.01 |-Branch two: % 31.38/8.01 | (336) ~ (all_232_0_120 = 0) % 31.38/8.01 | (1137) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0)) % 31.38/8.01 | % 31.38/8.01 +-Applying beta-rule and splitting (821), into two cases. % 31.38/8.01 |-Branch one: % 31.38/8.01 | (770) all_50_0_61 = 0 % 31.38/8.01 | % 31.38/8.01 | Equations (770) can reduce 395 to: % 31.38/8.01 | (168) $false % 31.38/8.01 | % 31.38/8.01 |-The branch is then unsatisfiable % 31.38/8.01 |-Branch two: % 31.38/8.01 | (395) ~ (all_50_0_61 = 0) % 31.38/8.01 | (1141) ? [v0] : ((v0 = 0 & convergent_lines(all_228_1_117, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0)) % 31.38/8.01 | % 31.38/8.01 +-Applying beta-rule and splitting (825), into two cases. % 31.38/8.01 |-Branch one: % 31.38/8.01 | (770) all_50_0_61 = 0 % 31.38/8.01 | % 31.38/8.01 | Equations (770) can reduce 395 to: % 31.38/8.01 | (168) $false % 31.38/8.01 | % 31.38/8.01 |-The branch is then unsatisfiable % 31.38/8.01 |-Branch two: % 31.38/8.01 | (395) ~ (all_50_0_61 = 0) % 31.38/8.01 | (1145) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 31.38/8.01 | % 31.38/8.01 +-Applying beta-rule and splitting (829), into two cases. % 31.38/8.01 |-Branch one: % 31.38/8.01 | (770) all_50_0_61 = 0 % 31.38/8.01 | % 31.38/8.01 | Equations (770) can reduce 395 to: % 31.38/8.01 | (168) $false % 31.38/8.01 | % 31.38/8.01 |-The branch is then unsatisfiable % 31.38/8.01 |-Branch two: % 31.38/8.01 | (395) ~ (all_50_0_61 = 0) % 31.38/8.01 | (1149) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 31.38/8.01 | % 31.38/8.01 +-Applying beta-rule and splitting (889), into two cases. % 31.38/8.01 |-Branch one: % 31.38/8.01 | (770) all_50_0_61 = 0 % 31.38/8.01 | % 31.38/8.01 | Equations (770) can reduce 395 to: % 31.38/8.01 | (168) $false % 31.38/8.01 | % 31.38/8.01 |-The branch is then unsatisfiable % 31.38/8.01 |-Branch two: % 31.38/8.01 | (395) ~ (all_50_0_61 = 0) % 31.38/8.01 | (1153) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0)) % 31.38/8.01 | % 31.38/8.01 +-Applying beta-rule and splitting (1029), into two cases. % 31.38/8.01 |-Branch one: % 31.38/8.01 | (770) all_50_0_61 = 0 % 31.38/8.01 | % 31.38/8.01 | Equations (770) can reduce 395 to: % 31.38/8.01 | (168) $false % 31.38/8.01 | % 31.38/8.01 |-The branch is then unsatisfiable % 31.38/8.01 |-Branch two: % 31.38/8.01 | (395) ~ (all_50_0_61 = 0) % 31.38/8.01 | (1157) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 31.38/8.01 | % 31.38/8.01 +-Applying beta-rule and splitting (1037), into two cases. % 31.38/8.01 |-Branch one: % 31.38/8.01 | (770) all_50_0_61 = 0 % 31.38/8.01 | % 31.38/8.01 | Equations (770) can reduce 395 to: % 31.38/8.01 | (168) $false % 31.38/8.01 | % 31.38/8.01 |-The branch is then unsatisfiable % 31.38/8.01 |-Branch two: % 31.38/8.01 | (395) ~ (all_50_0_61 = 0) % 31.38/8.01 | (1161) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 31.38/8.01 | % 31.38/8.01 +-Applying beta-rule and splitting (1065), into two cases. % 31.38/8.01 |-Branch one: % 31.38/8.01 | (770) all_50_0_61 = 0 % 31.38/8.01 | % 31.38/8.01 | Equations (770) can reduce 395 to: % 31.38/8.01 | (168) $false % 31.38/8.01 | % 31.38/8.01 |-The branch is then unsatisfiable % 31.38/8.01 |-Branch two: % 31.38/8.01 | (395) ~ (all_50_0_61 = 0) % 31.38/8.01 | (1165) ? [v0] : ((v0 = 0 & convergent_lines(all_226_1_115, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0)) % 31.38/8.01 | % 31.38/8.01 +-Applying beta-rule and splitting (1069), into two cases. % 31.38/8.01 |-Branch one: % 31.38/8.01 | (770) all_50_0_61 = 0 % 31.38/8.01 | % 31.38/8.01 | Equations (770) can reduce 395 to: % 31.38/8.01 | (168) $false % 31.38/8.01 | % 31.38/8.01 |-The branch is then unsatisfiable % 31.38/8.01 |-Branch two: % 31.38/8.01 | (395) ~ (all_50_0_61 = 0) % 31.38/8.01 | (1169) ? [v0] : ((v0 = 0 & convergent_lines(all_0_1_1, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0)) % 31.38/8.01 | % 31.38/8.01 +-Applying beta-rule and splitting (1117), into two cases. % 31.38/8.01 |-Branch one: % 31.38/8.01 | (770) all_50_0_61 = 0 % 31.38/8.01 | % 31.38/8.01 | Equations (770) can reduce 395 to: % 31.38/8.01 | (168) $false % 31.38/8.01 | % 31.38/8.01 |-The branch is then unsatisfiable % 31.38/8.01 |-Branch two: % 31.38/8.01 | (395) ~ (all_50_0_61 = 0) % 31.38/8.01 | (1173) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0)) % 31.38/8.01 | % 31.38/8.01 +-Applying beta-rule and splitting (1121), into two cases. % 31.38/8.01 |-Branch one: % 31.38/8.01 | (770) all_50_0_61 = 0 % 31.38/8.01 | % 31.38/8.01 | Equations (770) can reduce 395 to: % 31.38/8.01 | (168) $false % 31.38/8.01 | % 31.38/8.01 |-The branch is then unsatisfiable % 31.38/8.01 |-Branch two: % 31.38/8.01 | (395) ~ (all_50_0_61 = 0) % 31.38/8.01 | (1177) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0)) % 31.38/8.02 | % 31.38/8.02 +-Applying beta-rule and splitting (1125), into two cases. % 31.38/8.02 |-Branch one: % 31.38/8.02 | (770) all_50_0_61 = 0 % 31.38/8.02 | % 31.38/8.02 | Equations (770) can reduce 395 to: % 31.38/8.02 | (168) $false % 31.38/8.02 | % 31.38/8.02 |-The branch is then unsatisfiable % 31.38/8.02 |-Branch two: % 31.38/8.02 | (395) ~ (all_50_0_61 = 0) % 31.38/8.02 | (1181) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0)) % 31.38/8.02 | % 31.38/8.02 +-Applying beta-rule and splitting (1129), into two cases. % 31.38/8.02 |-Branch one: % 31.38/8.02 | (770) all_50_0_61 = 0 % 31.38/8.02 | % 31.38/8.02 | Equations (770) can reduce 395 to: % 31.38/8.02 | (168) $false % 31.38/8.02 | % 31.38/8.02 |-The branch is then unsatisfiable % 31.38/8.02 |-Branch two: % 31.38/8.02 | (395) ~ (all_50_0_61 = 0) % 31.38/8.02 | (1185) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0)) % 31.38/8.02 | % 31.38/8.02 +-Applying beta-rule and splitting (1133), into two cases. % 31.38/8.02 |-Branch one: % 31.38/8.02 | (770) all_50_0_61 = 0 % 31.38/8.02 | % 31.38/8.02 | Equations (770) can reduce 395 to: % 31.38/8.02 | (168) $false % 31.38/8.02 | % 31.38/8.02 |-The branch is then unsatisfiable % 31.38/8.02 |-Branch two: % 31.38/8.02 | (395) ~ (all_50_0_61 = 0) % 31.38/8.02 | (1189) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0)) % 31.38/8.02 | % 31.38/8.02 +-Applying beta-rule and splitting (1137), into two cases. % 31.38/8.02 |-Branch one: % 31.38/8.02 | (770) all_50_0_61 = 0 % 31.38/8.02 | % 31.38/8.02 | Equations (770) can reduce 395 to: % 31.38/8.02 | (168) $false % 31.38/8.02 | % 31.38/8.02 |-The branch is then unsatisfiable % 31.38/8.02 |-Branch two: % 31.38/8.02 | (395) ~ (all_50_0_61 = 0) % 31.38/8.02 | (1193) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0)) % 31.38/8.02 | % 31.38/8.02 | Instantiating formula (144) with all_0_3_3, all_0_1_1, 0, all_50_0_61 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_3_3, all_0_1_1) = 0, yields: % 31.38/8.02 | (770) all_50_0_61 = 0 % 31.38/8.02 | % 31.38/8.02 | Equations (770) can reduce 395 to: % 31.38/8.02 | (168) $false % 31.38/8.02 | % 31.38/8.02 |-The branch is then unsatisfiable % 31.38/8.02 |-Branch two: % 31.38/8.02 | (1196) ~ (apart_point_and_line(all_0_3_3, all_0_1_1) = 0) % 31.38/8.02 | (379) all_171_0_98 = 0 % 31.38/8.02 | % 31.38/8.02 | Equations (379) can reduce 389 to: % 31.38/8.02 | (168) $false % 31.38/8.02 | % 31.38/8.02 |-The branch is then unsatisfiable % 31.38/8.02 |-Branch two: % 31.38/8.02 | (1199) ~ (all_50_0_61 = 0) & distinct_points(all_0_5_5, all_0_3_3) = all_50_0_61 % 31.38/8.02 | % 31.38/8.02 | Applying alpha-rule on (1199) yields: % 31.38/8.02 | (395) ~ (all_50_0_61 = 0) % 31.38/8.02 | (1201) distinct_points(all_0_5_5, all_0_3_3) = all_50_0_61 % 31.38/8.02 | % 31.38/8.02 | Instantiating formula (98) with all_50_0_61, all_0_3_3, all_0_5_5, all_0_3_3 and discharging atoms distinct_points(all_0_3_3, all_0_5_5) = 0, distinct_points(all_0_5_5, all_0_3_3) = all_50_0_61, yields: % 31.38/8.02 | (1202) all_50_0_61 = 0 | distinct_points(all_0_3_3, all_0_3_3) = 0 % 31.38/8.02 | % 31.38/8.02 +-Applying beta-rule and splitting (1202), into two cases. % 31.38/8.02 |-Branch one: % 31.38/8.02 | (1203) distinct_points(all_0_3_3, all_0_3_3) = 0 % 31.38/8.02 | % 31.38/8.02 | Instantiating formula (124) with all_0_3_3 and discharging atoms distinct_points(all_0_3_3, all_0_3_3) = 0, yields: % 31.38/8.02 | (1204) $false % 31.38/8.02 | % 31.38/8.02 |-The branch is then unsatisfiable % 31.38/8.02 |-Branch two: % 31.38/8.02 | (1205) ~ (distinct_points(all_0_3_3, all_0_3_3) = 0) % 31.38/8.02 | (770) all_50_0_61 = 0 % 31.38/8.02 | % 31.38/8.02 | Equations (770) can reduce 395 to: % 31.38/8.02 | (168) $false % 31.38/8.02 | % 31.38/8.02 |-The branch is then unsatisfiable % 31.38/8.02 |-Branch two: % 31.38/8.02 | (1208) ~ (all_171_0_98 = 0) & distinct_points(all_0_5_5, all_0_4_4) = all_171_0_98 % 31.38/8.02 | % 31.53/8.02 | Applying alpha-rule on (1208) yields: % 31.53/8.02 | (389) ~ (all_171_0_98 = 0) % 31.53/8.02 | (1210) distinct_points(all_0_5_5, all_0_4_4) = all_171_0_98 % 31.53/8.02 | % 31.53/8.02 | Instantiating formula (90) with all_0_5_5, all_0_4_4, all_171_0_98, 0 and discharging atoms distinct_points(all_0_5_5, all_0_4_4) = all_171_0_98, distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 31.53/8.02 | (379) all_171_0_98 = 0 % 31.53/8.02 | % 31.53/8.02 | Equations (379) can reduce 389 to: % 31.53/8.02 | (168) $false % 31.53/8.02 | % 31.53/8.02 |-The branch is then unsatisfiable % 31.53/8.02 |-Branch two: % 31.53/8.02 | (1213) ~ (all_48_0_59 = 0) & distinct_points(all_0_5_5, all_0_3_3) = all_48_0_59 % 31.53/8.02 | % 31.53/8.02 | Applying alpha-rule on (1213) yields: % 31.53/8.02 | (360) ~ (all_48_0_59 = 0) % 31.53/8.02 | (1215) distinct_points(all_0_5_5, all_0_3_3) = all_48_0_59 % 31.53/8.02 | % 31.53/8.02 +-Applying beta-rule and splitting (161), into two cases. % 31.53/8.02 |-Branch one: % 31.53/8.02 | (394) ~ (all_50_0_61 = 0) & apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61 % 31.53/8.02 | % 31.53/8.02 | Applying alpha-rule on (394) yields: % 31.53/8.02 | (395) ~ (all_50_0_61 = 0) % 31.53/8.02 | (396) apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61 % 31.53/8.02 | % 31.53/8.02 | Instantiating formula (139) with all_50_0_61, all_0_0_0, all_0_1_1, all_0_1_1, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, yields: % 31.53/8.02 | (424) all_50_0_61 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 31.53/8.02 | % 31.53/8.02 | Instantiating formula (121) with all_50_0_61, all_50_0_61, all_0_1_1, all_0_1_1, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, distinct_points(all_0_3_3, all_0_5_5) = 0, yields: % 31.53/8.02 | (1220) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0)) % 31.53/8.03 | % 31.53/8.03 | Instantiating formula (43) with all_50_0_61, all_50_0_61, all_0_1_1, all_0_1_1, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, yields: % 31.53/8.03 | (449) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_1_1, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0)) % 31.53/8.03 | % 31.53/8.03 | Instantiating formula (88) with all_226_0_114, all_0_0_0, all_226_1_115, all_0_1_1, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 31.53/8.03 | (451) all_226_0_114 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0)) % 31.53/8.03 | % 31.53/8.03 | Instantiating formula (88) with all_0_0_0, all_226_0_114, all_0_1_1, all_226_1_115, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 31.53/8.03 | (452) all_226_0_114 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0)) % 31.53/8.03 | % 31.53/8.03 | Instantiating formula (88) with all_226_0_114, all_0_0_0, all_226_1_115, all_0_1_1, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 31.53/8.03 | (453) all_226_0_114 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0)) % 31.53/8.03 | % 31.53/8.03 | Instantiating formula (88) with all_0_0_0, all_226_0_114, all_0_1_1, all_226_1_115, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 31.53/8.03 | (454) all_226_0_114 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0)) % 31.55/8.03 | % 31.55/8.03 | Instantiating formula (43) with all_226_0_114, all_0_0_0, all_226_1_115, all_0_1_1, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, yields: % 31.55/8.03 | (455) all_226_0_114 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_1_1, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0)) % 31.55/8.03 | % 31.55/8.03 | Instantiating formula (43) with all_0_0_0, all_226_0_114, all_0_1_1, all_226_1_115, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, yields: % 31.55/8.03 | (456) all_226_0_114 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_226_1_115, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0)) % 31.55/8.03 | % 31.55/8.03 | Instantiating formula (139) with all_226_0_114, all_0_0_0, all_226_1_115, all_0_1_1, all_0_4_4, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, yields: % 31.55/8.03 | (457) all_226_0_114 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 31.55/8.03 | % 31.55/8.03 | Instantiating formula (139) with all_0_0_0, all_226_0_114, all_0_1_1, all_226_1_115, all_0_4_4, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_1_1) = all_0_0_0, yields: % 31.55/8.03 | (458) all_226_0_114 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 31.55/8.03 | % 31.55/8.03 | Instantiating formula (88) with all_226_0_114, all_52_0_63, all_226_1_115, all_0_2_2, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 31.55/8.03 | (459) all_226_0_114 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0)) % 31.55/8.03 | % 31.55/8.03 | Instantiating formula (88) with all_52_0_63, all_226_0_114, all_0_2_2, all_226_1_115, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 31.55/8.03 | (460) all_226_0_114 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0)) % 31.55/8.03 | % 31.55/8.03 | Instantiating formula (88) with all_226_0_114, all_52_0_63, all_226_1_115, all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 31.55/8.03 | (461) all_226_0_114 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0)) % 31.55/8.03 | % 31.55/8.03 | Instantiating formula (88) with all_52_0_63, all_226_0_114, all_0_2_2, all_226_1_115, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 31.55/8.03 | (462) all_226_0_114 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0)) % 31.55/8.03 | % 31.55/8.03 | Instantiating formula (43) with all_226_0_114, all_52_0_63, all_226_1_115, all_0_2_2, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 31.55/8.03 | (463) all_226_0_114 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_2_2, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0)) % 31.55/8.03 | % 31.55/8.03 | Instantiating formula (43) with all_52_0_63, all_226_0_114, all_0_2_2, all_226_1_115, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 31.55/8.03 | (464) all_226_0_114 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_226_1_115, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0)) % 31.55/8.03 | % 31.55/8.03 | Instantiating formula (139) with all_226_0_114, all_52_0_63, all_226_1_115, all_0_2_2, all_0_4_4, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 31.55/8.03 | (465) all_226_0_114 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 31.55/8.03 | % 31.55/8.03 | Instantiating formula (139) with all_52_0_63, all_226_0_114, all_0_2_2, all_226_1_115, all_0_4_4, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_4_4, all_0_2_2) = all_52_0_63, yields: % 31.55/8.03 | (466) all_226_0_114 = 0 | all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 31.55/8.03 | % 31.55/8.03 | Instantiating formula (139) with all_226_0_114, all_43_0_55, all_226_1_115, all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 31.55/8.03 | (467) all_226_0_114 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 31.55/8.03 | % 31.55/8.03 | Instantiating formula (139) with all_43_0_55, all_226_0_114, all_0_2_2, all_226_1_115, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 31.55/8.03 | (468) all_226_0_114 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 31.55/8.03 | % 31.55/8.03 | Instantiating formula (122) with all_226_0_114, all_43_0_55, all_0_2_2, all_226_1_115, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 31.55/8.03 | (469) all_226_0_114 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 31.55/8.03 | % 31.55/8.03 | Instantiating formula (122) with all_43_0_55, all_226_0_114, all_226_1_115, all_0_2_2, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_5_5, all_0_2_2) = all_43_0_55, yields: % 31.55/8.03 | (470) all_226_0_114 = 0 | all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 31.55/8.03 | % 31.55/8.03 | Instantiating formula (122) with all_226_0_114, all_50_0_61, all_0_1_1, all_226_1_115, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, yields: % 31.55/8.03 | (476) all_226_0_114 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 31.55/8.04 | % 31.55/8.04 | Instantiating formula (122) with all_50_0_61, all_226_0_114, all_226_1_115, all_0_1_1, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, yields: % 31.55/8.04 | (477) all_226_0_114 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 31.55/8.04 | % 31.55/8.04 | Instantiating formula (88) with all_226_0_114, all_226_0_114, all_226_1_115, all_226_1_115, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, distinct_points(all_0_3_3, all_0_4_4) = 0, yields: % 31.55/8.04 | (478) all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0)) % 31.55/8.04 | % 31.55/8.04 | Instantiating formula (88) with all_226_0_114, all_226_0_114, all_226_1_115, all_226_1_115, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 31.55/8.04 | (479) all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0)) % 31.55/8.04 | % 31.55/8.04 | Instantiating formula (43) with all_226_0_114, all_226_0_114, all_226_1_115, all_226_1_115, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, yields: % 31.55/8.04 | (480) all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_226_1_115, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0)) % 31.55/8.04 | % 31.55/8.04 | Instantiating formula (139) with all_226_0_114, all_226_0_114, all_226_1_115, all_226_1_115, all_0_4_4, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, yields: % 31.55/8.04 | (481) all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 31.55/8.04 | % 31.55/8.04 | Instantiating formula (139) with all_228_0_116, all_230_0_118, all_228_1_117, all_228_1_117, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_228_1_117) = all_228_0_116, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 31.55/8.04 | (499) all_230_0_118 = 0 | all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 31.55/8.04 | % 31.55/8.04 | Instantiating formula (139) with all_230_0_118, all_50_0_61, all_228_1_117, all_0_1_1, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 31.55/8.04 | (504) all_230_0_118 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 31.55/8.04 | % 31.55/8.04 | Instantiating formula (139) with all_50_0_61, all_230_0_118, all_0_1_1, all_228_1_117, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 31.55/8.04 | (505) all_230_0_118 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 31.55/8.04 | % 31.55/8.04 | Instantiating formula (122) with all_230_0_118, all_50_0_61, all_0_1_1, all_228_1_117, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 31.55/8.04 | (506) all_230_0_118 = 0 | all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 31.55/8.04 | % 31.55/8.04 | Instantiating formula (122) with all_226_0_114, all_230_0_118, all_228_1_117, all_226_1_115, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_226_1_115) = all_226_0_114, apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 31.55/8.04 | (511) all_230_0_118 = 0 | all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 31.55/8.04 | % 31.55/8.04 | Instantiating formula (88) with all_230_0_118, all_230_0_118, all_228_1_117, all_228_1_117, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, distinct_points(all_0_3_3, all_0_5_5) = 0, yields: % 31.55/8.04 | (512) all_230_0_118 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_228_1_117) = v0)) % 31.55/8.04 | % 31.55/8.04 | Instantiating formula (43) with all_230_0_118, all_230_0_118, all_228_1_117, all_228_1_117, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_228_1_117) = all_230_0_118, yields: % 31.55/8.04 | (514) all_230_0_118 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_228_1_117, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_228_1_117) = v0)) % 31.55/8.04 | % 31.55/8.04 | Instantiating formula (36) with all_50_0_61, all_48_0_59, all_0_3_3, all_0_1_1, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_50_0_61, distinct_points(all_0_5_5, all_0_3_3) = all_48_0_59, yields: % 31.55/8.04 | (1255) all_50_0_61 = 0 | all_48_0_59 = 0 | ? [v0] : ( ~ (v0 = 0) & apart_point_and_line(all_0_5_5, all_0_1_1) = v0) % 31.55/8.04 | % 31.55/8.04 | Instantiating formula (98) with all_48_0_59, all_0_3_3, all_0_5_5, all_0_3_3 and discharging atoms distinct_points(all_0_3_3, all_0_5_5) = 0, distinct_points(all_0_5_5, all_0_3_3) = all_48_0_59, yields: % 31.55/8.04 | (1256) all_48_0_59 = 0 | distinct_points(all_0_3_3, all_0_3_3) = 0 % 31.55/8.04 | % 31.55/8.04 | Instantiating formula (127) with all_48_0_59, all_48_0_59, all_0_3_3, all_0_5_5, all_0_5_5 and discharging atoms distinct_points(all_0_5_5, all_0_3_3) = all_48_0_59, yields: % 31.55/8.04 | (1257) all_48_0_59 = 0 | ? [v0] : ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0) % 31.55/8.04 | % 31.55/8.04 +-Applying beta-rule and splitting (449), into two cases. % 31.55/8.04 |-Branch one: % 31.55/8.04 | (770) all_50_0_61 = 0 % 31.55/8.04 | % 31.55/8.04 | Equations (770) can reduce 395 to: % 31.55/8.04 | (168) $false % 31.55/8.04 | % 31.55/8.04 |-The branch is then unsatisfiable % 31.55/8.04 |-Branch two: % 31.55/8.04 | (395) ~ (all_50_0_61 = 0) % 31.55/8.04 | (170) ? [v0] : ((v0 = 0 & convergent_lines(all_0_1_1, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0)) % 31.55/8.04 | % 31.55/8.04 +-Applying beta-rule and splitting (1220), into two cases. % 31.55/8.04 |-Branch one: % 31.55/8.04 | (770) all_50_0_61 = 0 % 31.55/8.04 | % 31.55/8.04 | Equations (770) can reduce 395 to: % 31.55/8.04 | (168) $false % 31.55/8.04 | % 31.55/8.04 |-The branch is then unsatisfiable % 31.55/8.04 |-Branch two: % 31.55/8.04 | (395) ~ (all_50_0_61 = 0) % 31.55/8.04 | (184) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0)) % 31.55/8.04 | % 31.55/8.04 +-Applying beta-rule and splitting (455), into two cases. % 31.55/8.04 |-Branch one: % 31.55/8.04 | (530) all_226_0_114 = 0 % 31.55/8.04 | % 31.55/8.04 | Equations (530) can reduce 324 to: % 31.55/8.04 | (168) $false % 31.55/8.04 | % 31.55/8.04 |-The branch is then unsatisfiable % 31.55/8.04 |-Branch two: % 31.55/8.04 | (324) ~ (all_226_0_114 = 0) % 31.55/8.04 | (817) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_1_1, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0)) % 31.55/8.04 | % 31.55/8.04 +-Applying beta-rule and splitting (456), into two cases. % 31.55/8.04 |-Branch one: % 31.55/8.04 | (530) all_226_0_114 = 0 % 31.55/8.04 | % 31.55/8.04 | Equations (530) can reduce 324 to: % 31.55/8.04 | (168) $false % 31.55/8.04 | % 31.55/8.04 |-The branch is then unsatisfiable % 31.55/8.04 |-Branch two: % 31.55/8.04 | (324) ~ (all_226_0_114 = 0) % 31.55/8.04 | (561) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_226_1_115, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0)) % 31.55/8.04 | % 31.55/8.04 +-Applying beta-rule and splitting (464), into two cases. % 31.55/8.04 |-Branch one: % 31.55/8.04 | (530) all_226_0_114 = 0 % 31.55/8.04 | % 31.55/8.04 | Equations (530) can reduce 324 to: % 31.55/8.04 | (168) $false % 31.55/8.04 | % 31.55/8.04 |-The branch is then unsatisfiable % 31.55/8.04 |-Branch two: % 31.55/8.04 | (324) ~ (all_226_0_114 = 0) % 31.55/8.04 | (569) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_226_1_115, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0)) % 31.55/8.04 | % 31.55/8.04 +-Applying beta-rule and splitting (463), into two cases. % 31.55/8.04 |-Branch one: % 31.55/8.04 | (530) all_226_0_114 = 0 % 31.55/8.04 | % 31.55/8.04 | Equations (530) can reduce 324 to: % 31.55/8.04 | (168) $false % 31.55/8.04 | % 31.55/8.04 |-The branch is then unsatisfiable % 31.55/8.04 |-Branch two: % 31.55/8.04 | (324) ~ (all_226_0_114 = 0) % 31.55/8.04 | (565) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_2_2, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0)) % 31.55/8.04 | % 31.55/8.04 +-Applying beta-rule and splitting (461), into two cases. % 31.55/8.04 |-Branch one: % 31.55/8.04 | (530) all_226_0_114 = 0 % 31.55/8.04 | % 31.55/8.04 | Equations (530) can reduce 324 to: % 31.55/8.04 | (168) $false % 31.55/8.04 | % 31.55/8.04 |-The branch is then unsatisfiable % 31.55/8.04 |-Branch two: % 31.55/8.04 | (324) ~ (all_226_0_114 = 0) % 31.55/8.04 | (653) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0)) % 31.55/8.04 | % 31.55/8.04 +-Applying beta-rule and splitting (470), into two cases. % 31.55/8.04 |-Branch one: % 31.55/8.04 | (530) all_226_0_114 = 0 % 31.55/8.04 | % 31.55/8.04 | Equations (530) can reduce 324 to: % 31.55/8.04 | (168) $false % 31.55/8.04 | % 31.55/8.04 |-The branch is then unsatisfiable % 31.55/8.04 |-Branch two: % 31.55/8.04 | (324) ~ (all_226_0_114 = 0) % 31.55/8.04 | (617) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 31.55/8.04 | % 31.55/8.04 +-Applying beta-rule and splitting (468), into two cases. % 31.55/8.04 |-Branch one: % 31.55/8.04 | (530) all_226_0_114 = 0 % 31.55/8.04 | % 31.55/8.04 | Equations (530) can reduce 324 to: % 31.55/8.04 | (168) $false % 31.55/8.04 | % 31.55/8.04 |-The branch is then unsatisfiable % 31.55/8.04 |-Branch two: % 31.55/8.04 | (324) ~ (all_226_0_114 = 0) % 31.55/8.04 | (709) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0)) % 31.55/8.05 | % 31.55/8.05 +-Applying beta-rule and splitting (467), into two cases. % 31.55/8.05 |-Branch one: % 31.55/8.05 | (530) all_226_0_114 = 0 % 31.55/8.05 | % 31.55/8.05 | Equations (530) can reduce 324 to: % 31.55/8.05 | (168) $false % 31.55/8.05 | % 31.55/8.05 |-The branch is then unsatisfiable % 31.55/8.05 |-Branch two: % 31.55/8.05 | (324) ~ (all_226_0_114 = 0) % 31.55/8.05 | (661) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 31.55/8.05 | % 31.55/8.05 +-Applying beta-rule and splitting (469), into two cases. % 31.55/8.05 |-Branch one: % 31.55/8.05 | (530) all_226_0_114 = 0 % 31.55/8.05 | % 31.55/8.05 | Equations (530) can reduce 324 to: % 31.55/8.05 | (168) $false % 31.55/8.05 | % 31.55/8.05 |-The branch is then unsatisfiable % 31.55/8.05 |-Branch two: % 31.55/8.05 | (324) ~ (all_226_0_114 = 0) % 31.55/8.05 | (717) all_43_0_55 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 31.55/8.05 | % 31.55/8.05 +-Applying beta-rule and splitting (453), into two cases. % 31.55/8.05 |-Branch one: % 31.55/8.05 | (530) all_226_0_114 = 0 % 31.55/8.05 | % 31.55/8.05 | Equations (530) can reduce 324 to: % 31.55/8.05 | (168) $false % 31.55/8.05 | % 31.55/8.05 |-The branch is then unsatisfiable % 31.55/8.05 |-Branch two: % 31.55/8.05 | (324) ~ (all_226_0_114 = 0) % 31.55/8.05 | (837) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0)) % 31.55/8.05 | % 31.55/8.05 +-Applying beta-rule and splitting (451), into two cases. % 31.55/8.05 |-Branch one: % 31.55/8.05 | (530) all_226_0_114 = 0 % 31.55/8.05 | % 31.55/8.05 | Equations (530) can reduce 324 to: % 31.55/8.05 | (168) $false % 31.55/8.05 | % 31.55/8.05 |-The branch is then unsatisfiable % 31.55/8.05 |-Branch two: % 31.55/8.05 | (324) ~ (all_226_0_114 = 0) % 31.55/8.05 | (1001) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0)) % 31.55/8.05 | % 31.55/8.05 +-Applying beta-rule and splitting (452), into two cases. % 31.55/8.05 |-Branch one: % 31.55/8.05 | (530) all_226_0_114 = 0 % 31.55/8.05 | % 31.55/8.05 | Equations (530) can reduce 324 to: % 31.55/8.05 | (168) $false % 31.55/8.05 | % 31.55/8.05 |-The branch is then unsatisfiable % 31.55/8.05 |-Branch two: % 31.55/8.05 | (324) ~ (all_226_0_114 = 0) % 31.55/8.05 | (905) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0)) % 31.55/8.05 | % 31.55/8.05 +-Applying beta-rule and splitting (454), into two cases. % 31.55/8.05 |-Branch one: % 31.55/8.05 | (530) all_226_0_114 = 0 % 31.55/8.05 | % 31.55/8.05 | Equations (530) can reduce 324 to: % 31.55/8.05 | (168) $false % 31.55/8.05 | % 31.55/8.05 |-The branch is then unsatisfiable % 31.55/8.05 |-Branch two: % 31.55/8.05 | (324) ~ (all_226_0_114 = 0) % 31.55/8.05 | (841) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0)) % 31.55/8.05 | % 31.55/8.05 +-Applying beta-rule and splitting (457), into two cases. % 31.55/8.05 |-Branch one: % 31.55/8.05 | (530) all_226_0_114 = 0 % 31.55/8.05 | % 31.55/8.05 | Equations (530) can reduce 324 to: % 31.55/8.05 | (168) $false % 31.55/8.05 | % 31.55/8.05 |-The branch is then unsatisfiable % 31.55/8.05 |-Branch two: % 31.55/8.05 | (324) ~ (all_226_0_114 = 0) % 31.55/8.05 | (673) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 31.55/8.05 | % 31.55/8.05 +-Applying beta-rule and splitting (458), into two cases. % 31.55/8.05 |-Branch one: % 31.55/8.05 | (530) all_226_0_114 = 0 % 31.55/8.05 | % 31.55/8.05 | Equations (530) can reduce 324 to: % 31.55/8.05 | (168) $false % 31.55/8.05 | % 31.55/8.05 |-The branch is then unsatisfiable % 31.55/8.05 |-Branch two: % 31.55/8.05 | (324) ~ (all_226_0_114 = 0) % 31.55/8.05 | (629) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 31.55/8.05 | % 31.55/8.05 +-Applying beta-rule and splitting (465), into two cases. % 31.55/8.05 |-Branch one: % 31.55/8.05 | (530) all_226_0_114 = 0 % 31.55/8.05 | % 31.55/8.05 | Equations (530) can reduce 324 to: % 31.55/8.05 | (168) $false % 31.55/8.05 | % 31.55/8.05 |-The branch is then unsatisfiable % 31.55/8.05 |-Branch two: % 31.55/8.05 | (324) ~ (all_226_0_114 = 0) % 31.55/8.05 | (597) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 31.55/8.05 | % 31.55/8.05 +-Applying beta-rule and splitting (466), into two cases. % 31.55/8.05 |-Branch one: % 31.55/8.05 | (530) all_226_0_114 = 0 % 31.55/8.05 | % 31.55/8.05 | Equations (530) can reduce 324 to: % 31.55/8.05 | (168) $false % 31.55/8.05 | % 31.55/8.05 |-The branch is then unsatisfiable % 31.55/8.05 |-Branch two: % 31.55/8.05 | (324) ~ (all_226_0_114 = 0) % 31.55/8.05 | (657) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 31.55/8.05 | % 31.55/8.05 +-Applying beta-rule and splitting (459), into two cases. % 31.55/8.05 |-Branch one: % 31.55/8.05 | (530) all_226_0_114 = 0 % 31.55/8.05 | % 31.55/8.05 | Equations (530) can reduce 324 to: % 31.55/8.05 | (168) $false % 31.55/8.05 | % 31.55/8.05 |-The branch is then unsatisfiable % 31.55/8.05 |-Branch two: % 31.55/8.05 | (324) ~ (all_226_0_114 = 0) % 31.55/8.05 | (681) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_226_1_115) = v0)) % 31.55/8.05 | % 31.55/8.05 +-Applying beta-rule and splitting (460), into two cases. % 31.55/8.05 |-Branch one: % 31.55/8.05 | (530) all_226_0_114 = 0 % 31.55/8.05 | % 31.55/8.05 | Equations (530) can reduce 324 to: % 31.55/8.05 | (168) $false % 31.55/8.05 | % 31.55/8.05 |-The branch is then unsatisfiable % 31.55/8.05 |-Branch two: % 31.55/8.05 | (324) ~ (all_226_0_114 = 0) % 31.55/8.05 | (649) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0)) % 31.55/8.05 | % 31.55/8.05 +-Applying beta-rule and splitting (462), into two cases. % 31.55/8.05 |-Branch one: % 31.55/8.05 | (530) all_226_0_114 = 0 % 31.55/8.05 | % 31.55/8.05 | Equations (530) can reduce 324 to: % 31.55/8.05 | (168) $false % 31.55/8.05 | % 31.55/8.05 |-The branch is then unsatisfiable % 31.55/8.05 |-Branch two: % 31.55/8.05 | (324) ~ (all_226_0_114 = 0) % 31.55/8.05 | (677) all_52_0_63 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_2_2) = v0)) % 31.55/8.05 | % 31.55/8.05 +-Applying beta-rule and splitting (424), into two cases. % 31.55/8.05 |-Branch one: % 31.55/8.05 | (770) all_50_0_61 = 0 % 31.55/8.05 | % 31.55/8.05 | Equations (770) can reduce 395 to: % 31.55/8.05 | (168) $false % 31.55/8.05 | % 31.55/8.05 |-The branch is then unsatisfiable % 31.55/8.05 |-Branch two: % 31.55/8.05 | (395) ~ (all_50_0_61 = 0) % 31.55/8.05 | (929) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 31.55/8.05 | % 31.55/8.05 +-Applying beta-rule and splitting (514), into two cases. % 31.55/8.05 |-Branch one: % 31.55/8.05 | (542) all_230_0_118 = 0 % 31.55/8.05 | % 31.55/8.05 | Equations (542) can reduce 332 to: % 31.55/8.05 | (168) $false % 31.55/8.05 | % 31.55/8.05 |-The branch is then unsatisfiable % 31.55/8.05 |-Branch two: % 31.55/8.05 | (332) ~ (all_230_0_118 = 0) % 31.55/8.05 | (537) ? [v0] : ((v0 = 0 & convergent_lines(all_228_1_117, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_228_1_117) = v0)) % 31.55/8.05 | % 31.55/8.05 +-Applying beta-rule and splitting (512), into two cases. % 31.55/8.05 |-Branch one: % 31.55/8.05 | (542) all_230_0_118 = 0 % 31.55/8.05 | % 31.55/8.05 | Equations (542) can reduce 332 to: % 31.55/8.05 | (168) $false % 31.55/8.05 | % 31.55/8.05 |-The branch is then unsatisfiable % 31.55/8.05 |-Branch two: % 31.55/8.05 | (332) ~ (all_230_0_118 = 0) % 31.55/8.05 | (557) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_228_1_117) = v0)) % 31.55/8.05 | % 31.55/8.05 +-Applying beta-rule and splitting (499), into two cases. % 31.55/8.05 |-Branch one: % 31.55/8.05 | (542) all_230_0_118 = 0 % 31.55/8.05 | % 31.55/8.05 | Equations (542) can reduce 332 to: % 31.55/8.05 | (168) $false % 31.55/8.05 | % 31.55/8.05 |-The branch is then unsatisfiable % 31.55/8.05 |-Branch two: % 31.55/8.05 | (332) ~ (all_230_0_118 = 0) % 31.55/8.05 | (705) all_228_0_116 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_228_1_117) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 31.55/8.05 | % 31.55/8.05 +-Applying beta-rule and splitting (506), into two cases. % 31.55/8.05 |-Branch one: % 31.55/8.05 | (542) all_230_0_118 = 0 % 31.55/8.05 | % 31.55/8.05 | Equations (542) can reduce 332 to: % 31.55/8.05 | (168) $false % 31.55/8.05 | % 31.55/8.05 |-The branch is then unsatisfiable % 31.55/8.05 |-Branch two: % 31.55/8.05 | (332) ~ (all_230_0_118 = 0) % 31.55/8.05 | (749) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 31.55/8.05 | % 31.55/8.05 +-Applying beta-rule and splitting (505), into two cases. % 31.55/8.05 |-Branch one: % 31.55/8.05 | (542) all_230_0_118 = 0 % 31.55/8.05 | % 31.55/8.05 | Equations (542) can reduce 332 to: % 31.55/8.05 | (168) $false % 31.55/8.05 | % 31.55/8.05 |-The branch is then unsatisfiable % 31.55/8.05 |-Branch two: % 31.55/8.05 | (332) ~ (all_230_0_118 = 0) % 31.55/8.05 | (757) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 31.55/8.06 | % 31.55/8.06 +-Applying beta-rule and splitting (504), into two cases. % 31.55/8.06 |-Branch one: % 31.55/8.06 | (542) all_230_0_118 = 0 % 31.55/8.06 | % 31.55/8.06 | Equations (542) can reduce 332 to: % 31.55/8.06 | (168) $false % 31.55/8.06 | % 31.55/8.06 |-The branch is then unsatisfiable % 31.55/8.06 |-Branch two: % 31.55/8.06 | (332) ~ (all_230_0_118 = 0) % 31.55/8.06 | (753) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0)) % 31.55/8.06 | % 31.55/8.06 +-Applying beta-rule and splitting (511), into two cases. % 31.55/8.06 |-Branch one: % 31.55/8.06 | (542) all_230_0_118 = 0 % 31.55/8.06 | % 31.55/8.06 | Equations (542) can reduce 332 to: % 31.55/8.06 | (168) $false % 31.55/8.06 | % 31.55/8.06 |-The branch is then unsatisfiable % 31.55/8.06 |-Branch two: % 31.55/8.06 | (332) ~ (all_230_0_118 = 0) % 31.55/8.06 | (713) all_226_0_114 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 31.55/8.06 | % 31.55/8.06 +-Applying beta-rule and splitting (757), into two cases. % 31.55/8.06 |-Branch one: % 31.55/8.06 | (770) all_50_0_61 = 0 % 31.55/8.06 | % 31.55/8.06 | Equations (770) can reduce 395 to: % 31.55/8.06 | (168) $false % 31.55/8.06 | % 31.55/8.06 |-The branch is then unsatisfiable % 31.55/8.06 |-Branch two: % 31.55/8.06 | (395) ~ (all_50_0_61 = 0) % 31.55/8.06 | (961) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_228_1_117, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0)) % 31.55/8.06 | % 31.55/8.06 +-Applying beta-rule and splitting (713), into two cases. % 31.55/8.06 |-Branch one: % 31.55/8.06 | (530) all_226_0_114 = 0 % 31.55/8.06 | % 31.55/8.06 | Equations (530) can reduce 324 to: % 31.55/8.06 | (168) $false % 31.55/8.06 | % 31.55/8.06 |-The branch is then unsatisfiable % 31.55/8.06 |-Branch two: % 31.55/8.06 | (324) ~ (all_226_0_114 = 0) % 31.55/8.06 | (953) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_228_1_117) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_228_1_117) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0)) % 31.55/8.06 | % 31.55/8.06 +-Applying beta-rule and splitting (480), into two cases. % 31.55/8.06 |-Branch one: % 31.55/8.06 | (530) all_226_0_114 = 0 % 31.55/8.06 | % 31.55/8.06 | Equations (530) can reduce 324 to: % 31.55/8.06 | (168) $false % 31.55/8.06 | % 31.55/8.06 |-The branch is then unsatisfiable % 31.55/8.06 |-Branch two: % 31.55/8.06 | (324) ~ (all_226_0_114 = 0) % 31.55/8.06 | (533) ? [v0] : ((v0 = 0 & convergent_lines(all_226_1_115, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0)) % 31.55/8.06 | % 31.55/8.06 +-Applying beta-rule and splitting (478), into two cases. % 31.55/8.06 |-Branch one: % 31.55/8.06 | (530) all_226_0_114 = 0 % 31.55/8.06 | % 31.55/8.06 | Equations (530) can reduce 324 to: % 31.55/8.06 | (168) $false % 31.55/8.06 | % 31.55/8.06 |-The branch is then unsatisfiable % 31.55/8.06 |-Branch two: % 31.55/8.06 | (324) ~ (all_226_0_114 = 0) % 31.55/8.06 | (989) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0)) % 31.55/8.06 | % 31.55/8.06 +-Applying beta-rule and splitting (479), into two cases. % 31.55/8.06 |-Branch one: % 31.55/8.06 | (530) all_226_0_114 = 0 % 31.55/8.06 | % 31.55/8.06 | Equations (530) can reduce 324 to: % 31.55/8.06 | (168) $false % 31.55/8.06 | % 31.55/8.06 |-The branch is then unsatisfiable % 31.55/8.06 |-Branch two: % 31.55/8.06 | (324) ~ (all_226_0_114 = 0) % 31.55/8.06 | (805) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0)) % 31.55/8.06 | % 31.55/8.06 +-Applying beta-rule and splitting (481), into two cases. % 31.55/8.06 |-Branch one: % 31.55/8.06 | (530) all_226_0_114 = 0 % 31.55/8.06 | % 31.55/8.06 | Equations (530) can reduce 324 to: % 31.55/8.06 | (168) $false % 31.55/8.06 | % 31.55/8.06 |-The branch is then unsatisfiable % 31.55/8.06 |-Branch two: % 31.55/8.06 | (324) ~ (all_226_0_114 = 0) % 31.55/8.06 | (809) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_226_1_115) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0)) % 31.55/8.06 | % 31.55/8.06 +-Applying beta-rule and splitting (477), into two cases. % 31.55/8.06 |-Branch one: % 31.55/8.06 | (530) all_226_0_114 = 0 % 31.55/8.06 | % 31.55/8.06 | Equations (530) can reduce 324 to: % 31.55/8.06 | (168) $false % 31.55/8.06 | % 31.55/8.06 |-The branch is then unsatisfiable % 31.55/8.06 |-Branch two: % 31.55/8.06 | (324) ~ (all_226_0_114 = 0) % 31.55/8.06 | (1009) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 31.55/8.06 | % 31.55/8.06 +-Applying beta-rule and splitting (476), into two cases. % 31.55/8.06 |-Branch one: % 31.55/8.06 | (530) all_226_0_114 = 0 % 31.55/8.06 | % 31.55/8.06 | Equations (530) can reduce 324 to: % 31.55/8.06 | (168) $false % 31.55/8.06 | % 31.55/8.06 |-The branch is then unsatisfiable % 31.55/8.06 |-Branch two: % 31.55/8.06 | (324) ~ (all_226_0_114 = 0) % 31.55/8.06 | (1041) all_50_0_61 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 31.55/8.06 | % 31.55/8.06 +-Applying beta-rule and splitting (1009), into two cases. % 31.55/8.06 |-Branch one: % 31.55/8.06 | (770) all_50_0_61 = 0 % 31.55/8.06 | % 31.55/8.06 | Equations (770) can reduce 395 to: % 31.55/8.06 | (168) $false % 31.55/8.06 | % 31.55/8.06 |-The branch is then unsatisfiable % 31.55/8.06 |-Branch two: % 31.55/8.06 | (395) ~ (all_50_0_61 = 0) % 31.55/8.06 | (1049) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_226_1_115) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0)) % 31.55/8.06 | % 31.55/8.06 +-Applying beta-rule and splitting (1041), into two cases. % 31.55/8.06 |-Branch one: % 31.55/8.06 | (770) all_50_0_61 = 0 % 31.55/8.06 | % 31.55/8.06 | Equations (770) can reduce 395 to: % 31.55/8.06 | (168) $false % 31.55/8.06 | % 31.55/8.06 |-The branch is then unsatisfiable % 31.55/8.06 |-Branch two: % 31.55/8.06 | (395) ~ (all_50_0_61 = 0) % 31.55/8.06 | (1053) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_226_1_115) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_226_1_115, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0)) % 31.55/8.06 | % 31.55/8.06 +-Applying beta-rule and splitting (1255), into two cases. % 31.55/8.06 |-Branch one: % 31.55/8.06 | (770) all_50_0_61 = 0 % 31.55/8.06 | % 31.55/8.06 | Equations (770) can reduce 395 to: % 31.55/8.06 | (168) $false % 31.55/8.06 | % 31.55/8.06 |-The branch is then unsatisfiable % 31.55/8.06 |-Branch two: % 31.55/8.06 | (395) ~ (all_50_0_61 = 0) % 31.55/8.06 | (1421) all_48_0_59 = 0 | ? [v0] : ( ~ (v0 = 0) & apart_point_and_line(all_0_5_5, all_0_1_1) = v0) % 31.55/8.06 | % 31.55/8.06 +-Applying beta-rule and splitting (1421), into two cases. % 31.55/8.06 |-Branch one: % 31.55/8.06 | (366) all_48_0_59 = 0 % 31.55/8.06 | % 31.55/8.06 | Equations (366) can reduce 360 to: % 31.55/8.06 | (168) $false % 31.55/8.06 | % 31.55/8.06 |-The branch is then unsatisfiable % 31.55/8.06 |-Branch two: % 31.55/8.06 | (360) ~ (all_48_0_59 = 0) % 31.55/8.06 | (1425) ? [v0] : ( ~ (v0 = 0) & apart_point_and_line(all_0_5_5, all_0_1_1) = v0) % 31.55/8.06 | % 31.55/8.06 +-Applying beta-rule and splitting (1257), into two cases. % 31.55/8.06 |-Branch one: % 31.55/8.06 | (366) all_48_0_59 = 0 % 31.55/8.06 | % 31.55/8.06 | Equations (366) can reduce 360 to: % 31.55/8.06 | (168) $false % 31.55/8.06 | % 31.55/8.06 |-The branch is then unsatisfiable % 31.55/8.06 |-Branch two: % 31.55/8.06 | (360) ~ (all_48_0_59 = 0) % 31.55/8.06 | (1429) ? [v0] : ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0) % 31.55/8.06 | % 31.55/8.06 +-Applying beta-rule and splitting (1256), into two cases. % 31.55/8.06 |-Branch one: % 31.55/8.06 | (1203) distinct_points(all_0_3_3, all_0_3_3) = 0 % 31.55/8.06 | % 31.55/8.06 | Instantiating formula (124) with all_0_3_3 and discharging atoms distinct_points(all_0_3_3, all_0_3_3) = 0, yields: % 31.55/8.06 | (1204) $false % 31.55/8.06 | % 31.55/8.06 |-The branch is then unsatisfiable % 31.55/8.06 |-Branch two: % 31.55/8.06 | (1205) ~ (distinct_points(all_0_3_3, all_0_3_3) = 0) % 31.55/8.06 | (366) all_48_0_59 = 0 % 31.55/8.06 | % 31.55/8.06 | Equations (366) can reduce 360 to: % 31.55/8.06 | (168) $false % 31.55/8.06 | % 31.55/8.06 |-The branch is then unsatisfiable % 31.55/8.06 |-Branch two: % 31.55/8.06 | (1199) ~ (all_50_0_61 = 0) & distinct_points(all_0_5_5, all_0_3_3) = all_50_0_61 % 31.55/8.06 | % 31.55/8.06 | Applying alpha-rule on (1199) yields: % 31.55/8.06 | (395) ~ (all_50_0_61 = 0) % 31.55/8.07 | (1201) distinct_points(all_0_5_5, all_0_3_3) = all_50_0_61 % 31.55/8.07 | % 31.55/8.07 | Instantiating formula (90) with all_0_5_5, all_0_3_3, all_50_0_61, all_48_0_59 and discharging atoms distinct_points(all_0_5_5, all_0_3_3) = all_50_0_61, distinct_points(all_0_5_5, all_0_3_3) = all_48_0_59, yields: % 31.55/8.07 | (1438) all_50_0_61 = all_48_0_59 % 31.55/8.07 | % 31.55/8.07 | Equations (1438) can reduce 395 to: % 31.55/8.07 | (360) ~ (all_48_0_59 = 0) % 31.55/8.07 | % 31.55/8.07 | From (1438) and (1201) follows: % 31.55/8.07 | (1215) distinct_points(all_0_5_5, all_0_3_3) = all_48_0_59 % 31.55/8.07 | % 31.55/8.07 | Instantiating formula (98) with all_48_0_59, all_0_3_3, all_0_5_5, all_0_3_3 and discharging atoms distinct_points(all_0_3_3, all_0_5_5) = 0, distinct_points(all_0_5_5, all_0_3_3) = all_48_0_59, yields: % 31.55/8.07 | (1256) all_48_0_59 = 0 | distinct_points(all_0_3_3, all_0_3_3) = 0 % 31.55/8.07 | % 31.55/8.07 +-Applying beta-rule and splitting (1256), into two cases. % 31.55/8.07 |-Branch one: % 31.55/8.07 | (1203) distinct_points(all_0_3_3, all_0_3_3) = 0 % 31.55/8.07 | % 31.55/8.07 | Instantiating formula (124) with all_0_3_3 and discharging atoms distinct_points(all_0_3_3, all_0_3_3) = 0, yields: % 31.55/8.07 | (1204) $false % 31.55/8.07 | % 31.55/8.07 |-The branch is then unsatisfiable % 31.55/8.07 |-Branch two: % 31.55/8.07 | (1205) ~ (distinct_points(all_0_3_3, all_0_3_3) = 0) % 31.55/8.07 | (366) all_48_0_59 = 0 % 31.55/8.07 | % 31.55/8.07 | Equations (366) can reduce 360 to: % 31.55/8.07 | (168) $false % 31.55/8.07 | % 31.55/8.07 |-The branch is then unsatisfiable % 31.55/8.07 |-Branch two: % 31.55/8.07 | (1447) ~ (distinct_points(all_0_3_3, all_0_5_5) = 0) % 31.55/8.07 | (215) all_43_0_55 = 0 % 31.55/8.07 | % 31.55/8.07 | Equations (215) can reduce 156 to: % 31.55/8.07 | (168) $false % 31.55/8.07 | % 31.55/8.07 |-The branch is then unsatisfiable % 31.55/8.07 |-Branch two: % 31.55/8.07 | (1450) ~ (distinct_points(all_0_3_3, all_0_4_4) = 0) % 31.55/8.07 | (225) all_52_0_63 = 0 % 31.55/8.07 | % 31.55/8.07 | Equations (225) can reduce 163 to: % 31.55/8.07 | (168) $false % 31.55/8.07 | % 31.55/8.07 |-The branch is then unsatisfiable % 31.55/8.07 |-Branch two: % 31.55/8.07 | (1453) ~ (all_54_0_65 = 0) & distinct_points(all_0_5_5, all_0_4_4) = all_54_0_65 % 31.55/8.07 | % 31.55/8.07 | Applying alpha-rule on (1453) yields: % 31.55/8.07 | (179) ~ (all_54_0_65 = 0) % 31.55/8.07 | (1455) distinct_points(all_0_5_5, all_0_4_4) = all_54_0_65 % 31.55/8.07 | % 31.55/8.07 | Instantiating formula (90) with all_0_5_5, all_0_4_4, all_54_0_65, 0 and discharging atoms distinct_points(all_0_5_5, all_0_4_4) = all_54_0_65, distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 31.55/8.07 | (1456) all_54_0_65 = 0 % 31.55/8.07 | % 31.55/8.07 | Equations (1456) can reduce 179 to: % 31.55/8.07 | (168) $false % 31.55/8.07 | % 31.55/8.07 |-The branch is then unsatisfiable % 31.55/8.07 |-Branch two: % 31.55/8.07 | (1458) ~ (all_49_0_60 = 0) & distinct_points(all_0_5_5, all_0_4_4) = all_49_0_60 % 31.55/8.07 | % 31.55/8.07 | Applying alpha-rule on (1458) yields: % 31.55/8.07 | (172) ~ (all_49_0_60 = 0) % 31.55/8.07 | (1460) distinct_points(all_0_5_5, all_0_4_4) = all_49_0_60 % 31.55/8.07 | % 31.55/8.07 | Instantiating formula (90) with all_0_5_5, all_0_4_4, all_49_0_60, 0 and discharging atoms distinct_points(all_0_5_5, all_0_4_4) = all_49_0_60, distinct_points(all_0_5_5, all_0_4_4) = 0, yields: % 31.55/8.07 | (1461) all_49_0_60 = 0 % 31.55/8.07 | % 31.55/8.07 | Equations (1461) can reduce 172 to: % 31.55/8.07 | (168) $false % 31.55/8.07 | % 31.55/8.07 |-The branch is then unsatisfiable % 31.55/8.07 % SZS output end Proof for theBenchmark % 31.55/8.07 % 31.55/8.07 7460ms %------------------------------------------------------------------------------