%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : GEO263+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Sat Jul 16 03:49:20 EDT 2022 % Result : Theorem 28.84s 7.59s % Output : Proof 110.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.09 % Problem : GEO263+3 : TPTP v8.1.0. Released v4.0.0. % 0.02/0.09 % Command : ePrincess-casc -timeout=%d %s % 0.09/0.29 % Computer : n003.cluster.edu % 0.09/0.29 % Model : x86_64 x86_64 % 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.29 % Memory : 8042.1875MB % 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.29 % CPULimit : 300 % 0.09/0.29 % WCLimit : 600 % 0.09/0.29 % DateTime : Sat Jun 18 00:38:57 EDT 2022 % 0.09/0.29 % CPUTime : % 0.14/0.53 ____ _ % 0.14/0.53 ___ / __ \_____(_)___ ________ __________ % 0.14/0.53 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.14/0.53 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.14/0.53 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.14/0.53 % 0.14/0.53 A Theorem Prover for First-Order Logic % 0.14/0.54 (ePrincess v.1.0) % 0.14/0.54 % 0.14/0.54 (c) Philipp Rümmer, 2009-2015 % 0.14/0.54 (c) Peter Backeman, 2014-2015 % 0.14/0.54 (contributions by Angelo Brillout, Peter Baumgartner) % 0.14/0.54 Free software under GNU Lesser General Public License (LGPL). % 0.14/0.54 Bug reports to peter@backeman.se % 0.14/0.54 % 0.14/0.54 For more information, visit http://user.uu.se/~petba168/breu/ % 0.14/0.54 % 0.14/0.54 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.60/0.60 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.79/0.99 Prover 0: Preprocessing ... % 3.02/1.38 Prover 0: Warning: ignoring some quantifiers % 3.02/1.42 Prover 0: Constructing countermodel ... % 5.22/1.97 Prover 0: gave up % 5.22/1.97 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 5.58/2.04 Prover 1: Preprocessing ... % 7.03/2.32 Prover 1: Constructing countermodel ... % 8.00/2.53 Prover 1: gave up % 8.00/2.53 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 8.00/2.59 Prover 2: Preprocessing ... % 9.99/2.98 Prover 2: Warning: ignoring some quantifiers % 9.99/3.01 Prover 2: Constructing countermodel ... % 16.84/4.63 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 16.84/4.67 Prover 3: Preprocessing ... % 17.14/4.72 Prover 3: Warning: ignoring some quantifiers % 17.14/4.72 Prover 3: Constructing countermodel ... % 18.10/4.94 Prover 3: gave up % 18.10/4.94 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete % 18.10/4.98 Prover 4: Preprocessing ... % 19.29/5.25 Prover 4: Warning: ignoring some quantifiers % 19.29/5.26 Prover 4: Constructing countermodel ... % 22.11/5.93 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 22.11/5.97 Prover 5: Preprocessing ... % 22.76/6.17 Prover 5: Constructing countermodel ... % 28.84/7.59 Prover 5: proved (1662ms) % 28.84/7.59 Prover 4: stopped % 28.84/7.59 Prover 2: stopped % 28.84/7.59 % 28.84/7.59 No countermodel exists, formula is valid % 28.84/7.59 % SZS status Theorem for theBenchmark % 28.84/7.59 % 28.84/7.59 Generating proof ... found it (size 341) % 109.31/62.60 % 109.31/62.60 % SZS output start Proof for theBenchmark % 109.31/62.60 Assumed formulas after preprocessing and simplification: % 109.31/62.60 | (0) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | v6 = 0 | ~ (left_apart_point(v1, v5) = v7) | ~ (left_apart_point(v0, v5) = v6) | ~ (reverse_line(v3) = v5) | ~ (reverse_line(v2) = v4) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v4) = v15 & left_apart_point(v1, v3) = v13 & left_apart_point(v1, v2) = v11 & left_apart_point(v0, v4) = v14 & left_apart_point(v0, v3) = v12 & left_apart_point(v0, v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | v5 = 0 | ~ (left_apart_point(v1, v6) = v7) | ~ (left_apart_point(v0, v4) = v5) | ~ (reverse_line(v3) = v6) | ~ (reverse_line(v2) = v4) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v4) = v14 & left_apart_point(v1, v3) = v13 & left_apart_point(v1, v2) = v11 & left_apart_point(v0, v6) = v15 & left_apart_point(v0, v3) = v12 & left_apart_point(v0, v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | v5 = 0 | ~ (left_apart_point(v1, v4) = v5) | ~ (left_apart_point(v0, v6) = v7) | ~ (reverse_line(v3) = v6) | ~ (reverse_line(v2) = v4) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v6) = v15 & left_apart_point(v1, v3) = v13 & left_apart_point(v1, v2) = v11 & left_apart_point(v0, v4) = v14 & left_apart_point(v0, v3) = v12 & left_apart_point(v0, v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | v4 = 0 | ~ (left_apart_point(v1, v6) = v7) | ~ (left_apart_point(v0, v3) = v4) | ~ (reverse_line(v3) = v6) | ~ (reverse_line(v2) = v5) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v5) = v14 & left_apart_point(v1, v3) = v12 & left_apart_point(v1, v2) = v11 & left_apart_point(v0, v6) = v15 & left_apart_point(v0, v5) = v13 & left_apart_point(v0, v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | v4 = 0 | ~ (left_apart_point(v1, v3) = v4) | ~ (left_apart_point(v0, v6) = v7) | ~ (reverse_line(v3) = v6) | ~ (reverse_line(v2) = v5) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v6) = v15 & left_apart_point(v1, v5) = v14 & left_apart_point(v1, v2) = v11 & left_apart_point(v0, v5) = v13 & left_apart_point(v0, v3) = v12 & left_apart_point(v0, v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = 0 | v5 = 0 | ~ (left_apart_point(v1, v4) = v6) | ~ (left_apart_point(v0, v4) = v5) | ~ (reverse_line(v3) = v7) | ~ (reverse_line(v2) = v4) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v7) = v15 & left_apart_point(v1, v3) = v13 & left_apart_point(v1, v2) = v11 & left_apart_point(v0, v7) = v14 & left_apart_point(v0, v3) = v12 & left_apart_point(v0, v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = 0 | v4 = 0 | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v2) = v4) | ~ (reverse_line(v3) = v7) | ~ (reverse_line(v2) = v5) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v7) = v15 & left_apart_point(v1, v3) = v12 & left_apart_point(v1, v2) = v10 & left_apart_point(v0, v7) = v14 & left_apart_point(v0, v5) = v13 & left_apart_point(v0, v3) = v11 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = 0 | v4 = 0 | ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v5) = v6) | ~ (reverse_line(v3) = v7) | ~ (reverse_line(v2) = v5) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v7) = v15 & left_apart_point(v1, v5) = v13 & left_apart_point(v1, v3) = v12 & left_apart_point(v0, v7) = v14 & left_apart_point(v0, v3) = v11 & left_apart_point(v0, v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v5 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v4) = v6) | ~ (left_apart_point(v0, v4) = v5) | ~ (reverse_line(v3) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v3) = v11 & left_apart_point(v1, v2) = v9 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v3) = v10 & left_apart_point(v0, v2) = v8 & reverse_line(v2) = v12 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v5 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v4) = v6) | ~ (left_apart_point(v0, v4) = v5) | ~ (reverse_line(v2) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v3) = v11 & left_apart_point(v1, v2) = v9 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v3) = v10 & left_apart_point(v0, v2) = v8 & reverse_line(v3) = v12 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v3) = v4) | ~ (reverse_line(v3) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & left_apart_point(v1, v11) = v13 & left_apart_point(v1, v3) = v10 & left_apart_point(v1, v2) = v9 & left_apart_point(v0, v11) = v12 & left_apart_point(v0, v5) = v14 & left_apart_point(v0, v2) = v8 & reverse_line(v2) = v11 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v12 = 0 | v10 = 0 | v9 = 0 | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v2) = v4) | ~ (reverse_line(v2) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v3) = v10 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v5) = v11 & left_apart_point(v0, v3) = v9 & reverse_line(v3) = v12 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v3) = v4) | ~ (left_apart_point(v0, v5) = v6) | ~ (reverse_line(v3) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & left_apart_point(v1, v11) = v13 & left_apart_point(v1, v5) = v14 & left_apart_point(v1, v2) = v9 & left_apart_point(v0, v11) = v12 & left_apart_point(v0, v3) = v10 & left_apart_point(v0, v2) = v8 & reverse_line(v2) = v11 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v12 = 0 | v10 = 0 | v9 = 0 | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v5) = v6) | ~ (reverse_line(v2) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v5) = v11 & left_apart_point(v1, v3) = v10 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v3) = v9 & left_apart_point(v0, v2) = v8 & reverse_line(v3) = v12 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v3) = v4) | ~ (reverse_line(v2) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & left_apart_point(v1, v13) = v15 & left_apart_point(v1, v3) = v11 & left_apart_point(v1, v2) = v10 & left_apart_point(v0, v13) = v14 & left_apart_point(v0, v5) = v12 & left_apart_point(v0, v2) = v9 & reverse_line(v3) = v13 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v2) = v4) | ~ (reverse_line(v3) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v3) = v11 & left_apart_point(v1, v2) = v9 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v5) = v15 & left_apart_point(v0, v3) = v10 & reverse_line(v2) = v12 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (left_apart_point(v1, v3) = v4) | ~ (left_apart_point(v0, v5) = v6) | ~ (reverse_line(v2) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & left_apart_point(v1, v13) = v15 & left_apart_point(v1, v5) = v12 & left_apart_point(v1, v2) = v10 & left_apart_point(v0, v13) = v14 & left_apart_point(v0, v3) = v11 & left_apart_point(v0, v2) = v9 & reverse_line(v3) = v13 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v5) = v6) | ~ (reverse_line(v3) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v5) = v15 & left_apart_point(v1, v3) = v11 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v3) = v10 & left_apart_point(v0, v2) = v9 & reverse_line(v2) = v12 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | v4 = 0 | ~ (left_apart_point(v1, v3) = v5) | ~ (left_apart_point(v0, v3) = v4) | ~ (reverse_line(v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & left_apart_point(v1, v13) = v15 & left_apart_point(v1, v6) = v12 & left_apart_point(v1, v2) = v10 & left_apart_point(v0, v13) = v14 & left_apart_point(v0, v6) = v11 & left_apart_point(v0, v2) = v9 & reverse_line(v3) = v13 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | v4 = 0 | ~ (left_apart_point(v1, v2) = v5) | ~ (left_apart_point(v0, v2) = v4) | ~ (reverse_line(v3) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & left_apart_point(v1, v11) = v13 & left_apart_point(v1, v6) = v15 & left_apart_point(v1, v3) = v10 & left_apart_point(v0, v11) = v12 & left_apart_point(v0, v6) = v14 & left_apart_point(v0, v3) = v9 & reverse_line(v2) = v11 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v10 = 0 | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v3) = v5) | ~ (left_apart_point(v0, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v6 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v9) = v11 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v9) = v10 & left_apart_point(v0, v2) = v7 & reverse_line(v3) = v12 & reverse_line(v2) = v9 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v2) = v5) | ~ (left_apart_point(v0, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v6 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v9) = v11 & left_apart_point(v1, v3) = v8 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v9) = v10 & left_apart_point(v0, v3) = v7 & reverse_line(v3) = v12 & reverse_line(v2) = v9 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v1, v3) = v5) | ~ (left_apart_point(v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v9) = v11 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v9) = v10 & left_apart_point(v0, v3) = v8 & left_apart_point(v0, v2) = v7 & reverse_line(v3) = v12 & reverse_line(v2) = v9 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v0, v3) = v5) | ~ (left_apart_point(v0, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v9) = v11 & left_apart_point(v1, v3) = v8 & left_apart_point(v1, v2) = v7 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v9) = v10 & reverse_line(v3) = v12 & reverse_line(v2) = v9 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (left_apart_point(v1, v3) = v5) | ~ (left_apart_point(v0, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v7 & distinct_points(v0, v1) = v6 & left_apart_point(v1, v13) = v15 & left_apart_point(v1, v10) = v12 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v13) = v14 & left_apart_point(v0, v10) = v11 & left_apart_point(v0, v3) = v9 & reverse_line(v3) = v13 & reverse_line(v2) = v10 & ( ~ (v7 = 0) | ~ (v6 = 0) | v15 = 0 | v14 = 0 | v12 = 0 | v11 = 0 | v9 = 0 | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v3) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v7 & distinct_points(v0, v1) = v6 & left_apart_point(v1, v13) = v15 & left_apart_point(v1, v10) = v12 & left_apart_point(v1, v3) = v9 & left_apart_point(v0, v13) = v14 & left_apart_point(v0, v10) = v11 & left_apart_point(v0, v2) = v8 & reverse_line(v3) = v13 & reverse_line(v2) = v10 & ( ~ (v7 = 0) | ~ (v6 = 0) | v15 = 0 | v14 = 0 | v12 = 0 | v11 = 0 | v9 = 0 | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v3 = 0 | ~ (distinct_lines(v1, v2) = v3) | ~ (left_apart_point(v0, v4) = v5) | ~ (reverse_line(v2) = v4) | ? [v6] : ? [v7] : (left_apart_point(v0, v1) = v6 & unequally_directed_lines(v1, v2) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v1, v3) = v4) | ~ (reverse_line(v2) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v5) = v11 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v5) = v10 & left_apart_point(v0, v3) = v9 & left_apart_point(v0, v2) = v7 & reverse_line(v3) = v12 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v1, v2) = v4) | ~ (reverse_line(v3) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & left_apart_point(v1, v10) = v12 & left_apart_point(v1, v5) = v14 & left_apart_point(v1, v3) = v9 & left_apart_point(v0, v10) = v11 & left_apart_point(v0, v5) = v13 & left_apart_point(v0, v3) = v8 & left_apart_point(v0, v2) = v7 & reverse_line(v2) = v10 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v9 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v0, v3) = v4) | ~ (reverse_line(v2) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v5) = v11 & left_apart_point(v1, v3) = v9 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v5) = v10 & left_apart_point(v0, v2) = v7 & reverse_line(v3) = v12 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v0, v2) = v4) | ~ (reverse_line(v3) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & left_apart_point(v1, v10) = v12 & left_apart_point(v1, v5) = v14 & left_apart_point(v1, v3) = v9 & left_apart_point(v1, v2) = v7 & left_apart_point(v0, v10) = v11 & left_apart_point(v0, v5) = v13 & left_apart_point(v0, v3) = v8 & reverse_line(v2) = v10 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v9 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (between_on_line(v5, v4, v3, v2) = v1) | ~ (between_on_line(v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (distinct_points(v0, v1) = 0) | ~ (reverse_line(v3) = v5) | ~ (reverse_line(v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & left_apart_point(v1, v5) = v14 & left_apart_point(v1, v4) = v12 & left_apart_point(v1, v3) = v10 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v5) = v13 & left_apart_point(v0, v4) = v11 & left_apart_point(v0, v3) = v9 & left_apart_point(v0, v2) = v7 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v3, v2) = v5) | ~ (before_on_line(v0, v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v8 & before_on_line(v0, v2, v3) = v6 & before_on_line(v0, v2, v1) = v7 & (v8 = 0 | (( ~ (v7 = 0) | ~ (v5 = 0)) & ( ~ (v6 = 0) | ~ (v4 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v3, v2) = v5) | ~ (before_on_line(v0, v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v6 & before_on_line(v0, v2, v3) = v7 & before_on_line(v0, v2, v1) = v8 & ( ~ (v6 = 0) | (v8 = 0 & v5 = 0) | (v7 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v3, v2) = v4) | ~ (before_on_line(v0, v2, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v8 & before_on_line(v0, v2, v3) = v7 & before_on_line(v0, v1, v2) = v6 & (v8 = 0 | (( ~ (v7 = 0) | ~ (v6 = 0)) & ( ~ (v5 = 0) | ~ (v4 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v3, v2) = v4) | ~ (before_on_line(v0, v2, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v6 & before_on_line(v0, v2, v3) = v8 & before_on_line(v0, v1, v2) = v7 & ( ~ (v6 = 0) | (v8 = 0 & v7 = 0))) | (v5 = 0 & v4 = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v2, v3) = v5) | ~ (before_on_line(v0, v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v8 & before_on_line(v0, v3, v2) = v6 & before_on_line(v0, v2, v1) = v7 & (v8 = 0 | (( ~ (v7 = 0) | ~ (v6 = 0)) & ( ~ (v5 = 0) | ~ (v4 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v2, v3) = v5) | ~ (before_on_line(v0, v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v6 & before_on_line(v0, v3, v2) = v7 & before_on_line(v0, v2, v1) = v8 & ( ~ (v6 = 0) | (v8 = 0 & v7 = 0))) | (v5 = 0 & v4 = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v2, v3) = v4) | ~ (before_on_line(v0, v2, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v8 & before_on_line(v0, v3, v2) = v7 & before_on_line(v0, v1, v2) = v6 & (v8 = 0 | (( ~ (v7 = 0) | ~ (v5 = 0)) & ( ~ (v6 = 0) | ~ (v4 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v2, v3) = v4) | ~ (before_on_line(v0, v2, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v6 & before_on_line(v0, v3, v2) = v8 & before_on_line(v0, v1, v2) = v7 & ( ~ (v6 = 0) | (v8 = 0 & v5 = 0) | (v7 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v4) | ~ (reverse_line(v1) = v3) | ~ (unequally_directed_lines(v0, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (unequally_directed_lines(v1, v4) = v10 & unequally_directed_lines(v1, v2) = v9 & unequally_directed_lines(v0, v3) = v7 & unequally_directed_lines(v0, v2) = v8 & unequally_directed_lines(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | (v10 = 0 & v9 = 0) | (v8 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v4) | ~ (unequally_directed_lines(v1, v4) = v5) | ~ (unequally_directed_lines(v0, v2) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (reverse_line(v1) = v7 & unequally_directed_lines(v1, v2) = v10 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v4) = v9 & unequally_directed_lines(v0, v1) = v6 & ( ~ (v8 = 0) | ~ (v6 = 0) | (v10 = 0 & v5 = 0) | (v9 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v3) | ~ (unequally_directed_lines(v1, v3) = v5) | ~ (unequally_directed_lines(v0, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (reverse_line(v1) = v7 & unequally_directed_lines(v1, v2) = v10 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v2) = v9 & unequally_directed_lines(v0, v1) = v6 & ( ~ (v8 = 0) | ~ (v6 = 0) | (v10 = 0 & v5 = 0) | (v9 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v3) | ~ (unequally_directed_lines(v1, v2) = v5) | ~ (unequally_directed_lines(v0, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (reverse_line(v1) = v7 & unequally_directed_lines(v1, v3) = v10 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v2) = v9 & unequally_directed_lines(v0, v1) = v6 & ( ~ (v8 = 0) | ~ (v6 = 0) | (v10 = 0 & v5 = 0) | (v9 = 0 & v4 = 0)))) & ! [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] : (v4 = 0 | v3 = 0 | ~ (distinct_points(v0, v1) = v3) | ~ (left_apart_point(v1, v2) = v4) | ? [v5] : ( ~ (v5 = 0) & left_apart_point(v0, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (left_convergent_lines(v0, v2) = v4) | ~ (unequally_directed_lines(v1, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & left_convergent_lines(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (unequally_directed_lines(v1, v2) = v4) | ~ (unequally_directed_lines(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & unequally_directed_lines(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (between_on_line(v0, v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (before_on_line(v0, v3, v2) = v7 & before_on_line(v0, v2, v3) = v6 & before_on_line(v0, v2, v1) = v8 & before_on_line(v0, v1, v2) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0)) & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (line_connecting(v0, v1) = v3) | ~ (left_convergent_lines(v3, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : (distinct_points(v0, v1) = v5 & left_apart_point(v1, v2) = v7 & left_apart_point(v0, v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (left_apart_point(v0, v3) = v4) | ~ (reverse_line(v2) = v3) | ~ (unequally_directed_lines(v1, v2) = 0) | ? [v5] : ? [v6] : (distinct_lines(v1, v2) = v6 & left_apart_point(v0, v1) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (line_connecting(v0, v1) = v4) | ~ (left_apart_point(v1, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : (distinct_points(v0, v1) = v5 & left_convergent_lines(v4, v2) = v7 & left_apart_point(v0, v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (before_on_line(v4, v3, v2) = v1) | ~ (before_on_line(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (divides_points(v4, v3, v2) = v1) | ~ (divides_points(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (distinct_points(v1, v2) = v3) | ~ (incident_point_and_line(v2, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (before_on_line(v0, v1, v2) = v5 & incident_point_and_line(v1, v0) = v6 & line_connecting(v1, v2) = v7 & equally_directed_lines(v0, v7) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v6 = 0 & v4 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (distinct_points(v1, v2) = v3) | ~ (incident_point_and_line(v1, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (before_on_line(v0, v1, v2) = v5 & incident_point_and_line(v2, v0) = v6 & line_connecting(v1, v2) = v7 & equally_directed_lines(v0, v7) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v6 = 0 & v4 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (incident_point_and_line(v2, v0) = v4) | ~ (incident_point_and_line(v1, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & line_connecting(v1, v2) = v7 & equally_directed_lines(v0, v7) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v6 = 0 & v4 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (incident_point_and_line(v2, v0) = v3) | ~ (line_connecting(v1, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & incident_point_and_line(v1, v0) = v7 & equally_directed_lines(v0, v4) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v7 = 0 & v6 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (incident_point_and_line(v1, v0) = v3) | ~ (line_connecting(v1, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & incident_point_and_line(v2, v0) = v7 & equally_directed_lines(v0, v4) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v7 = 0 & v6 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (line_connecting(v1, v2) = v3) | ~ (equally_directed_lines(v0, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & incident_point_and_line(v2, v0) = v8 & incident_point_and_line(v1, v0) = v7 & ( ~ (v5 = 0) | (v8 = 0 & v7 = 0 & v6 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v7 & right_apart_point(v1, v2) = v5 & right_apart_point(v0, v2) = v6 & (v7 = 0 | (( ~ (v6 = 0) | ~ (v4 = 0)) & ( ~ (v5 = 0) | ~ (v3 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v5 & right_apart_point(v1, v2) = v6 & right_apart_point(v0, v2) = v7 & ( ~ (v5 = 0) | (v7 = 0 & v4 = 0) | (v6 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v1, v2) = v4) | ~ (right_apart_point(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v7 & left_apart_point(v0, v2) = v5 & right_apart_point(v1, v2) = v6 & (v7 = 0 | (( ~ (v6 = 0) | ~ (v5 = 0)) & ( ~ (v4 = 0) | ~ (v3 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v1, v2) = v4) | ~ (right_apart_point(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v5 & left_apart_point(v0, v2) = v6 & right_apart_point(v1, v2) = v7 & ( ~ (v5 = 0) | (v7 = 0 & v6 = 0))) | (v4 = 0 & v3 = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v0, v2) = v3) | ~ (right_apart_point(v1, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v7 & left_apart_point(v1, v2) = v6 & right_apart_point(v0, v2) = v5 & (v7 = 0 | (( ~ (v6 = 0) | ~ (v5 = 0)) & ( ~ (v4 = 0) | ~ (v3 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v0, v2) = v3) | ~ (right_apart_point(v1, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v5 & left_apart_point(v1, v2) = v7 & right_apart_point(v0, v2) = v6 & ( ~ (v5 = 0) | (v7 = 0 & v6 = 0))) | (v4 = 0 & v3 = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (right_apart_point(v1, v2) = v3) | ~ (right_apart_point(v0, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v7 & left_apart_point(v1, v2) = v6 & left_apart_point(v0, v2) = v5 & (v7 = 0 | (( ~ (v6 = 0) | ~ (v4 = 0)) & ( ~ (v5 = 0) | ~ (v3 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (right_apart_point(v1, v2) = v3) | ~ (right_apart_point(v0, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v5 & left_apart_point(v1, v2) = v7 & left_apart_point(v0, v2) = v6 & ( ~ (v5 = 0) | (v7 = 0 & v4 = 0) | (v6 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (reverse_line(v2) = v4) | ~ (reverse_line(v1) = v3) | ~ (unequally_directed_lines(v0, v3) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (unequally_directed_lines(v1, v4) = v9 & unequally_directed_lines(v1, v2) = v8 & unequally_directed_lines(v0, v4) = v7 & unequally_directed_lines(v0, v2) = v6 & unequally_directed_lines(v0, v1) = v5 & ( ~ (v5 = 0) | (v9 = 0 & v8 = 0) | (v7 = 0 & v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (reverse_line(v1) = v3) | ~ (unequally_directed_lines(v1, v2) = v4) | ~ (unequally_directed_lines(v0, v3) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (reverse_line(v2) = v7 & unequally_directed_lines(v1, v7) = v9 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v2) = v6 & unequally_directed_lines(v0, v1) = v5 & ( ~ (v5 = 0) | (v9 = 0 & v4 = 0) | (v8 = 0 & v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (reverse_line(v1) = v3) | ~ (unequally_directed_lines(v0, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (reverse_line(v2) = v7 & unequally_directed_lines(v1, v7) = v10 & unequally_directed_lines(v1, v2) = v9 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v3) = v6 & unequally_directed_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (v10 = 0 & v9 = 0) | (v8 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unequally_directed_lines(v1, v2) = v4) | ~ (unequally_directed_lines(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (reverse_line(v2) = v8 & reverse_line(v1) = v6 & unequally_directed_lines(v1, v8) = v10 & unequally_directed_lines(v0, v8) = v9 & unequally_directed_lines(v0, v6) = v7 & unequally_directed_lines(v0, v1) = v5 & ( ~ (v7 = 0) | ~ (v5 = 0) | (v10 = 0 & v4 = 0) | (v9 = 0 & v3 = 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(v1, v2) = v3) | ~ (left_apart_point(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : (left_apart_point(v0, v5) = v6 & reverse_line(v2) = v5 & unequally_directed_lines(v1, v2) = v4 & ( ~ (v4 = 0) | v6 = 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] : (v3 = 0 | ~ (distinct_points(v0, v1) = v3) | ~ (left_apart_point(v0, v2) = 0) | left_apart_point(v1, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (line_connecting(v0, v1) = v5 & left_convergent_lines(v5, v2) = v6 & left_apart_point(v0, v2) = v4 & ( ~ (v4 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (before_on_line(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (distinct_points(v1, v2) = v4 & incident_point_and_line(v2, v0) = v6 & incident_point_and_line(v1, v0) = v5 & line_connecting(v1, v2) = v7 & equally_directed_lines(v0, v7) = v8 & ( ~ (v8 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (divides_points(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (left_apart_point(v1, v2) = v7 & left_apart_point(v0, v2) = v4 & right_apart_point(v1, v2) = v5 & right_apart_point(v0, v2) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)) & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_convergent_lines(v0, v2) = v3) | ~ (left_convergent_lines(v0, v1) = 0) | unequally_directed_lines(v1, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_convergent_lines(v0, v2) = v3) | ~ (reverse_line(v1) = v2) | ? [v4] : ? [v5] : ? [v6] : (left_convergent_lines(v0, v1) = v6 & unequally_directed_lines(v0, v2) = v5 & unequally_directed_lines(v0, v1) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_convergent_lines(v0, v2) = v3) | ~ (reverse_line(v1) = v2) | ? [v4] : ( ~ (v4 = 0) & right_convergent_lines(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_convergent_lines(v0, v1) = 0) | ~ (unequally_directed_lines(v1, v2) = v3) | left_convergent_lines(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_apart_point(v1, v2) = v3) | ~ (left_apart_point(v0, v2) = 0) | distinct_points(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_apart_point(v1, v2) = v3) | ~ (left_apart_point(v0, v2) = 0) | ? [v4] : ? [v5] : ? [v6] : (distinct_points(v0, v1) = v4 & line_connecting(v0, v1) = v5 & left_convergent_lines(v5, v2) = v6 & ( ~ (v4 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_apart_point(v0, v2) = v3) | ~ (reverse_line(v1) = v2) | ? [v4] : ( ~ (v4 = 0) & right_apart_point(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = v3) | unequally_directed_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & unequally_directed_opposite_lines(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unequally_directed_lines(v1, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | unequally_directed_lines(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unequally_directed_lines(v0, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | unequally_directed_lines(v1, v2) = 0) & ! [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 | ~ (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] : (v1 = v0 | ~ (incident_point_and_line(v3, v2) = v1) | ~ (incident_point_and_line(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 | ~ (convergent_lines(v3, v2) = v1) | ~ (convergent_lines(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 | ~ (equally_directed_opposite_lines(v3, v2) = v1) | ~ (equally_directed_opposite_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equally_directed_lines(v3, v2) = v1) | ~ (equally_directed_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (left_convergent_lines(v3, v2) = v1) | ~ (left_convergent_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (right_convergent_lines(v3, v2) = v1) | ~ (right_convergent_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (left_apart_point(v3, v2) = v1) | ~ (left_apart_point(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (right_apart_point(v3, v2) = v1) | ~ (right_apart_point(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unequally_directed_lines(v3, v2) = v1) | ~ (unequally_directed_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unequally_directed_opposite_lines(v3, v2) = v1) | ~ (unequally_directed_opposite_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (left_apart_point(v1, v11) = v13 & left_apart_point(v1, v8) = v10 & left_apart_point(v1, v3) = v7 & left_apart_point(v1, v2) = v5 & left_apart_point(v0, v11) = v12 & left_apart_point(v0, v8) = v9 & left_apart_point(v0, v3) = v6 & left_apart_point(v0, v2) = v4 & reverse_line(v3) = v11 & reverse_line(v2) = v8 & (v13 = 0 | v12 = 0 | v10 = 0 | v9 = 0 | v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (between_on_line(v0, v1, v2, v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (before_on_line(v0, v3, v2) = v6 & before_on_line(v0, v2, v3) = v5 & before_on_line(v0, v2, v1) = v7 & before_on_line(v0, v1, v2) = v4 & ((v7 = 0 & v6 = 0) | (v5 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (incident_point_and_line(v2, v0) = 0) | ~ (line_connecting(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (distinct_points(v1, v2) = v4 & before_on_line(v0, v1, v2) = v7 & incident_point_and_line(v1, v0) = v5 & equally_directed_lines(v0, v3) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (incident_point_and_line(v1, v0) = 0) | ~ (line_connecting(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (distinct_points(v1, v2) = v4 & before_on_line(v0, v1, v2) = v7 & incident_point_and_line(v2, v0) = v5 & equally_directed_lines(v0, v3) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (line_connecting(v1, v2) = v3) | ~ (equally_directed_lines(v0, v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (distinct_points(v1, v2) = v4 & before_on_line(v0, v1, v2) = v7 & incident_point_and_line(v2, v0) = v6 & incident_point_and_line(v1, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (line_connecting(v0, v1) = v3) | ~ (left_apart_point(v0, v2) = 0) | ? [v4] : ? [v5] : ? [v6] : (distinct_points(v0, v1) = v4 & left_convergent_lines(v3, v2) = v6 & left_apart_point(v1, v2) = v5 & ( ~ (v4 = 0) | v6 = 0 | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (left_apart_point(v0, v1) = 0) | ~ (reverse_line(v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (distinct_lines(v1, v2) = v5 & left_apart_point(v0, v3) = v6 & unequally_directed_lines(v1, v2) = v4 & ( ~ (v4 = 0) | v6 = 0 | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (reverse_line(v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (reverse_line(v1) = v4 & unequally_directed_lines(v1, v3) = v9 & unequally_directed_lines(v1, v2) = v8 & unequally_directed_lines(v0, v4) = v5 & unequally_directed_lines(v0, v3) = v7 & unequally_directed_lines(v0, v2) = v6 & ( ~ (v5 = 0) | (v9 = 0 & v8 = 0) | (v7 = 0 & v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unequally_directed_lines(v1, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (reverse_line(v2) = v7 & reverse_line(v1) = v4 & unequally_directed_lines(v1, v7) = v9 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v4) = v5 & unequally_directed_lines(v0, v2) = v6 & ( ~ (v5 = 0) | (v9 = 0 & v3 = 0) | (v8 = 0 & v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unequally_directed_lines(v0, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (reverse_line(v2) = v6 & reverse_line(v1) = v4 & unequally_directed_lines(v1, v6) = v9 & unequally_directed_lines(v1, v2) = v8 & unequally_directed_lines(v0, v6) = v7 & unequally_directed_lines(v0, v4) = v5 & ( ~ (v5 = 0) | (v9 = 0 & v8 = 0) | (v7 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | ? [v3] : ? [v4] : (unequally_directed_lines(v0, v1) = v3 & unequally_directed_opposite_lines(v0, v1) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (apart_point_and_line(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & ~ (v3 = 0) & left_apart_point(v0, v1) = v3 & right_apart_point(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equally_directed_opposite_lines(v0, v1) = v2) | unequally_directed_opposite_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equally_directed_lines(v0, v1) = v2) | unequally_directed_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (left_convergent_lines(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (left_convergent_lines(v0, v4) = v6 & reverse_line(v1) = v4 & unequally_directed_lines(v0, v4) = v5 & unequally_directed_lines(v0, v1) = v3 & ( ~ (v5 = 0) | ~ (v3 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (right_convergent_lines(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & left_convergent_lines(v0, v3) = v4 & reverse_line(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (left_apart_point(v0, v1) = v2) | ? [v3] : ? [v4] : (apart_point_and_line(v0, v1) = v3 & right_apart_point(v0, v1) = v4 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (right_apart_point(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & left_apart_point(v0, v3) = v4 & reverse_line(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (right_apart_point(v0, v1) = v2) | ? [v3] : ? [v4] : (apart_point_and_line(v0, v1) = v3 & left_apart_point(v0, v1) = v4 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_lines(v0, v1) = v2) | equally_directed_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_lines(v0, v1) = v2) | ? [v3] : (reverse_line(v1) = v3 & unequally_directed_lines(v0, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_opposite_lines(v0, v1) = v2) | equally_directed_opposite_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_opposite_lines(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & reverse_line(v1) = v3 & unequally_directed_lines(v0, v3) = v4)) & ! [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] : (v1 = v0 | ~ (reverse_line(v2) = v1) | ~ (reverse_line(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | equally_directed_lines(v2, v1) = 0) & ! [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(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (point(v1) = v3 & line(v2) = v5 & line(v0) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection_point(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (point(v2) = v8 & line(v1) = v4 & line(v0) = v3 & reverse_line(v1) = v6 & unequally_directed_lines(v0, v6) = v7 & unequally_directed_lines(v0, v1) = v5 & ( ~ (v7 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection_point(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (apart_point_and_line(v2, v1) = v7 & apart_point_and_line(v2, v0) = v6 & reverse_line(v1) = v4 & unequally_directed_lines(v0, v4) = v5 & unequally_directed_lines(v0, v1) = v3 & ( ~ (v5 = 0) | ~ (v3 = 0) | ( ~ (v7 = 0) & ~ (v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (line(v0) = 0) | ~ (reverse_line(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (intersection_point(v0, v1) = v6 & point(v6) = v7 & line(v1) = v3 & unequally_directed_lines(v0, v2) = v5 & unequally_directed_lines(v0, v1) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (distinct_points(v1, v2) = 0) | ~ (incident_point_and_line(v2, v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (before_on_line(v0, v1, v2) = v6 & incident_point_and_line(v1, v0) = v3 & line_connecting(v1, v2) = v4 & equally_directed_lines(v0, v4) = v5 & ( ~ (v5 = 0) | ~ (v3 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (distinct_points(v1, v2) = 0) | ~ (incident_point_and_line(v1, v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (before_on_line(v0, v1, v2) = v6 & incident_point_and_line(v2, v0) = v3 & line_connecting(v1, v2) = v4 & equally_directed_lines(v0, v4) = v5 & ( ~ (v5 = 0) | ~ (v3 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v0, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : (line_connecting(v0, v1) = v4 & left_convergent_lines(v4, v2) = v5 & left_apart_point(v1, v2) = v3 & (v5 = 0 | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (before_on_line(v0, v1, v2) = 0) | ? [v3] : (distinct_points(v1, v2) = 0 & incident_point_and_line(v2, v0) = 0 & incident_point_and_line(v1, v0) = 0 & line_connecting(v1, v2) = v3 & equally_directed_lines(v0, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (incident_point_and_line(v2, v0) = 0) | ~ (incident_point_and_line(v1, v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (distinct_points(v1, v2) = v3 & before_on_line(v0, v1, v2) = v6 & line_connecting(v1, v2) = v4 & equally_directed_lines(v0, v4) = v5 & ( ~ (v5 = 0) | ~ (v3 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (distinct_points(v0, v1) = v3 & line_connecting(v0, v1) = v4 & equally_directed_lines(v4, v5) = v6 & reverse_line(v2) = v5 & ( ~ (v3 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (point(v1) = v4 & point(v0) = v3 & line(v2) = v6 & distinct_points(v0, v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (distinct_points(v0, v1) = v3 & line_connecting(v1, v0) = v4 & equally_directed_lines(v2, v5) = v6 & reverse_line(v4) = v5 & ( ~ (v3 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (distinct_points(v0, v1) = v3 & apart_point_and_line(v1, v2) = v5 & apart_point_and_line(v0, v2) = v4 & ( ~ (v3 = 0) | ( ~ (v5 = 0) & ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (divides_points(v2, v0, v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (left_apart_point(v1, v2) = v6 & left_apart_point(v0, v2) = v3 & right_apart_point(v1, v2) = v4 & right_apart_point(v0, v2) = v5 & ((v6 = 0 & v5 = 0) | (v4 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (left_convergent_lines(v0, v2) = 0) | ~ (reverse_line(v1) = v2) | right_convergent_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (left_convergent_lines(v0, v2) = 0) | ~ (reverse_line(v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (left_apart_point(v0, v2) = 0) | ~ (reverse_line(v1) = v2) | right_apart_point(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (left_apart_point(v0, v2) = 0) | ~ (reverse_line(v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (left_apart_point(v0, v1) = v2) | ? [v3] : ? [v4] : (apart_point_and_line(v0, v1) = v4 & right_apart_point(v0, v1) = v3 & (v4 = 0 | ( ~ (v3 = 0) & ~ (v2 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (left_apart_point(v0, v1) = 0) | ~ (unequally_directed_lines(v1, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : (distinct_lines(v1, v2) = v3 & left_apart_point(v0, v4) = v5 & reverse_line(v2) = v4 & (v5 = 0 | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (right_apart_point(v0, v1) = v2) | ? [v3] : ? [v4] : (apart_point_and_line(v0, v1) = v4 & left_apart_point(v0, v1) = v3 & (v4 = 0 | ( ~ (v3 = 0) & ~ (v2 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = 0) | unequally_directed_opposite_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (intersection_point(v0, v1) = v6 & point(v6) = v7 & line(v1) = v4 & line(v0) = v3 & unequally_directed_lines(v0, v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (intersection_point(v0, v1) = v4 & apart_point_and_line(v4, v1) = v6 & apart_point_and_line(v4, v0) = v5 & unequally_directed_lines(v0, v1) = v3 & ( ~ (v3 = 0) | ( ~ (v6 = 0) & ~ (v5 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : (left_convergent_lines(v0, v2) = v5 & left_convergent_lines(v0, v1) = v4 & unequally_directed_lines(v0, v1) = v3 & ( ~ (v3 = 0) | v5 = 0 | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unequally_directed_lines(v0, v1) = v2) | ? [v3] : ? [v4] : (convergent_lines(v0, v1) = v3 & unequally_directed_opposite_lines(v0, v1) = v4 & ( ~ (v3 = 0) | (v4 = 0 & v2 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unequally_directed_opposite_lines(v0, v1) = v2) | ? [v3] : ? [v4] : (convergent_lines(v0, v1) = v3 & unequally_directed_lines(v0, v1) = v4 & ( ~ (v3 = 0) | (v4 = 0 & v2 = 0)))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (equally_directed_lines(v0, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (point(v1) = 0) | ~ (point(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : (line(v3) = v4 & distinct_points(v0, v1) = v2 & line_connecting(v0, v1) = v3 & ( ~ (v2 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ( ~ (point(v1) = 0) | ~ (line(v0) = 0) | ? [v2] : (parallel_through_point(v0, v1) = v2 & line(v2) = 0)) & ! [v0] : ! [v1] : ( ~ (line(v1) = 0) | ~ (line(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (intersection_point(v0, v1) = v5 & point(v5) = v6 & reverse_line(v1) = v3 & unequally_directed_lines(v0, v3) = v4 & unequally_directed_lines(v0, v1) = v2 & ( ~ (v4 = 0) | ~ (v2 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (point(v1) = v3 & point(v0) = v2 & line(v4) = v5 & line_connecting(v0, v1) = v4 & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = 0) & ~ (v3 = 0) & line_connecting(v0, v1) = v2 & apart_point_and_line(v1, v2) = v4 & apart_point_and_line(v0, v2) = v3)) & ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : (line_connecting(v1, v0) = v3 & line_connecting(v0, v1) = v2 & equally_directed_lines(v2, v4) = 0 & reverse_line(v3) = v4)) & ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | (unequally_directed_lines(v0, v1) = 0 & unequally_directed_opposite_lines(v0, v1) = 0)) & ! [v0] : ! [v1] : ( ~ (apart_point_and_line(v0, v1) = 0) | ? [v2] : ? [v3] : (left_apart_point(v0, v1) = v2 & right_apart_point(v0, v1) = v3 & (v3 = 0 | v2 = 0))) & ! [v0] : ! [v1] : ( ~ (equally_directed_opposite_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & unequally_directed_opposite_lines(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (equally_directed_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & unequally_directed_lines(v0, v1) = v2)) & ! [v0] : ! [v1] : ~ (left_convergent_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (right_convergent_lines(v0, v1) = 0) | ? [v2] : (left_convergent_lines(v0, v2) = 0 & reverse_line(v1) = v2)) & ! [v0] : ! [v1] : ~ (left_apart_point(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (right_apart_point(v0, v1) = 0) | ? [v2] : (left_apart_point(v0, v2) = 0 & reverse_line(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (reverse_line(v0) = v1) | ? [v2] : ? [v3] : (line(v1) = v3 & line(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (reverse_line(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & distinct_lines(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (intersection_point(v0, v1) = v6 & point(v6) = v7 & line(v1) = v3 & line(v0) = v2 & reverse_line(v1) = v4 & unequally_directed_lines(v0, v4) = v5 & ( ~ (v5 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (intersection_point(v0, v1) = v4 & apart_point_and_line(v4, v1) = v6 & apart_point_and_line(v4, v0) = v5 & reverse_line(v1) = v2 & unequally_directed_lines(v0, v2) = v3 & ( ~ (v3 = 0) | ( ~ (v6 = 0) & ~ (v5 = 0))))) & ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (left_convergent_lines(v0, v2) = v5 & left_convergent_lines(v0, v1) = v4 & reverse_line(v1) = v2 & unequally_directed_lines(v0, v2) = v3 & ( ~ (v3 = 0) | v5 = 0 | v4 = 0))) & ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ? [v3] : (convergent_lines(v0, v1) = v3 & unequally_directed_opposite_lines(v0, v1) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equally_directed_lines(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (unequally_directed_opposite_lines(v0, v1) = 0) | ? [v2] : ? [v3] : (convergent_lines(v0, v1) = v3 & unequally_directed_lines(v0, v1) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (unequally_directed_opposite_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equally_directed_opposite_lines(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (unequally_directed_opposite_lines(v0, v1) = 0) | ? [v2] : (reverse_line(v1) = v2 & unequally_directed_lines(v0, v2) = 0)) & ! [v0] : ( ~ (line(v0) = 0) | ? [v1] : (line(v1) = 0 & reverse_line(v0) = v1)) & ! [v0] : ~ (distinct_lines(v0, v0) = 0) & ! [v0] : ~ (distinct_points(v0, v0) = 0) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ( ~ (v12 = 0) & parallel_through_point(v2, v5) = v10 & parallel_through_point(v2, v4) = v8 & parallel_through_point(v2, v3) = v6 & intersection_point(v1, v10) = v11 & intersection_point(v1, v8) = v9 & intersection_point(v1, v6) = v7 & between_on_line(v1, v7, v9, v11) = v12 & between_on_line(v0, v3, v4, v5) = 0 & convergent_lines(v1, v2) = 0 & convergent_lines(v0, v2) = 0 & convergent_lines(v0, v1) = 0) % 109.95/62.71 | Applying alpha-rule on (0) yields: % 109.95/62.71 | (1) ! [v0] : ! [v1] : ! [v2] : ( ~ (right_apart_point(v0, v1) = v2) | ? [v3] : ? [v4] : (apart_point_and_line(v0, v1) = v4 & left_apart_point(v0, v1) = v3 & (v4 = 0 | ( ~ (v3 = 0) & ~ (v2 = 0))))) % 109.95/62.71 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ (left_apart_point(v0, v1) = v2) | ? [v3] : ? [v4] : (apart_point_and_line(v0, v1) = v4 & right_apart_point(v0, v1) = v3 & (v4 = 0 | ( ~ (v3 = 0) & ~ (v2 = 0))))) % 109.95/62.71 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unequally_directed_lines(v3, v2) = v1) | ~ (unequally_directed_lines(v3, v2) = v0)) % 109.95/62.71 | (4) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (left_convergent_lines(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (left_convergent_lines(v0, v4) = v6 & reverse_line(v1) = v4 & unequally_directed_lines(v0, v4) = v5 & unequally_directed_lines(v0, v1) = v3 & ( ~ (v5 = 0) | ~ (v3 = 0) | v6 = 0))) % 109.95/62.71 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (right_apart_point(v1, v2) = v3) | ~ (right_apart_point(v0, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v7 & left_apart_point(v1, v2) = v6 & left_apart_point(v0, v2) = v5 & (v7 = 0 | (( ~ (v6 = 0) | ~ (v4 = 0)) & ( ~ (v5 = 0) | ~ (v3 = 0)))))) % 109.95/62.71 | (6) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (line(v2) = v1) | ~ (line(v2) = v0)) % 109.95/62.71 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) = v0)) % 109.95/62.71 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (incident_point_and_line(v2, v0) = v4) | ~ (incident_point_and_line(v1, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & line_connecting(v1, v2) = v7 & equally_directed_lines(v0, v7) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v6 = 0 & v4 = 0 & v3 = 0)))) % 109.95/62.71 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v2, v3) = v5) | ~ (before_on_line(v0, v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v8 & before_on_line(v0, v3, v2) = v6 & before_on_line(v0, v2, v1) = v7 & (v8 = 0 | (( ~ (v7 = 0) | ~ (v6 = 0)) & ( ~ (v5 = 0) | ~ (v4 = 0)))))) % 109.95/62.71 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (between_on_line(v0, v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (before_on_line(v0, v3, v2) = v7 & before_on_line(v0, v2, v3) = v6 & before_on_line(v0, v2, v1) = v8 & before_on_line(v0, v1, v2) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0)) & ( ~ (v6 = 0) | ~ (v5 = 0)))) % 109.95/62.71 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (intersection_point(v0, v1) = v6 & point(v6) = v7 & line(v1) = v4 & line(v0) = v3 & unequally_directed_lines(v0, v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v7 = 0))) % 109.95/62.71 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v2, v3) = v5) | ~ (before_on_line(v0, v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v6 & before_on_line(v0, v3, v2) = v7 & before_on_line(v0, v2, v1) = v8 & ( ~ (v6 = 0) | (v8 = 0 & v7 = 0))) | (v5 = 0 & v4 = 0)) % 109.95/62.71 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (incident_point_and_line(v1, v0) = v3) | ~ (line_connecting(v1, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & incident_point_and_line(v2, v0) = v7 & equally_directed_lines(v0, v4) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v7 = 0 & v6 = 0 & v3 = 0)))) % 109.95/62.71 | (14) ! [v0] : ! [v1] : ( ~ (apart_point_and_line(v0, v1) = 0) | ? [v2] : ? [v3] : (left_apart_point(v0, v1) = v2 & right_apart_point(v0, v1) = v3 & (v3 = 0 | v2 = 0))) % 109.95/62.71 | (15) ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection_point(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (apart_point_and_line(v2, v1) = v7 & apart_point_and_line(v2, v0) = v6 & reverse_line(v1) = v4 & unequally_directed_lines(v0, v4) = v5 & unequally_directed_lines(v0, v1) = v3 & ( ~ (v5 = 0) | ~ (v3 = 0) | ( ~ (v7 = 0) & ~ (v6 = 0))))) % 109.95/62.71 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (between_on_line(v5, v4, v3, v2) = v1) | ~ (between_on_line(v5, v4, v3, v2) = v0)) % 109.95/62.71 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (reverse_line(v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (reverse_line(v1) = v4 & unequally_directed_lines(v1, v3) = v9 & unequally_directed_lines(v1, v2) = v8 & unequally_directed_lines(v0, v4) = v5 & unequally_directed_lines(v0, v3) = v7 & unequally_directed_lines(v0, v2) = v6 & ( ~ (v5 = 0) | (v9 = 0 & v8 = 0) | (v7 = 0 & v6 = 0)))) % 109.95/62.71 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & unequally_directed_opposite_lines(v0, v1) = v4)) % 109.95/62.71 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v2) = v5) | ~ (left_apart_point(v0, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v6 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v9) = v11 & left_apart_point(v1, v3) = v8 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v9) = v10 & left_apart_point(v0, v3) = v7 & reverse_line(v3) = v12 & reverse_line(v2) = v9 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0))) % 109.95/62.72 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (incident_point_and_line(v2, v0) = 0) | ~ (line_connecting(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (distinct_points(v1, v2) = v4 & before_on_line(v0, v1, v2) = v7 & incident_point_and_line(v1, v0) = v5 & equally_directed_lines(v0, v3) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v7 = 0))) % 109.95/62.72 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v0, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | distinct_points(v1, v2) = 0) % 109.95/62.72 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (right_apart_point(v3, v2) = v1) | ~ (right_apart_point(v3, v2) = v0)) % 109.95/62.72 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~ (parallel_through_point(v3, v2) = v0)) % 109.95/62.72 | (24) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (apart_point_and_line(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & ~ (v3 = 0) & left_apart_point(v0, v1) = v3 & right_apart_point(v0, v1) = v4)) % 109.95/62.72 | (25) ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & apart_point_and_line(v0, v2) = v3)) % 109.95/62.72 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v1, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | distinct_points(v0, v2) = 0) % 109.95/62.72 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (left_apart_point(v1, v11) = v13 & left_apart_point(v1, v8) = v10 & left_apart_point(v1, v3) = v7 & left_apart_point(v1, v2) = v5 & left_apart_point(v0, v11) = v12 & left_apart_point(v0, v8) = v9 & left_apart_point(v0, v3) = v6 & left_apart_point(v0, v2) = v4 & reverse_line(v3) = v11 & reverse_line(v2) = v8 & (v13 = 0 | v12 = 0 | v10 = 0 | v9 = 0 | v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0))) % 109.95/62.72 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_apart_point(v1, v2) = v3) | ~ (left_apart_point(v0, v2) = 0) | ? [v4] : ? [v5] : ? [v6] : (distinct_points(v0, v1) = v4 & line_connecting(v0, v1) = v5 & left_convergent_lines(v5, v2) = v6 & ( ~ (v4 = 0) | v6 = 0))) % 109.95/62.72 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (incident_point_and_line(v3, v2) = v1) | ~ (incident_point_and_line(v3, v2) = v0)) % 109.95/62.72 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0)) % 109.95/62.72 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_convergent_lines(v0, v1) = 0) | ~ (unequally_directed_lines(v1, v2) = v3) | left_convergent_lines(v0, v2) = 0) % 109.95/62.72 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v5 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v4) = v6) | ~ (left_apart_point(v0, v4) = v5) | ~ (reverse_line(v2) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v3) = v11 & left_apart_point(v1, v2) = v9 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v3) = v10 & left_apart_point(v0, v2) = v8 & reverse_line(v3) = v12 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0))) % 109.95/62.72 | (33) ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | (unequally_directed_lines(v0, v1) = 0 & unequally_directed_opposite_lines(v0, v1) = 0)) % 109.95/62.72 | (34) ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection_point(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (point(v2) = v8 & line(v1) = v4 & line(v0) = v3 & reverse_line(v1) = v6 & unequally_directed_lines(v0, v6) = v7 & unequally_directed_lines(v0, v1) = v5 & ( ~ (v7 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v8 = 0))) % 109.95/62.72 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (left_apart_point(v1, v3) = v4) | ~ (left_apart_point(v0, v5) = v6) | ~ (reverse_line(v2) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & left_apart_point(v1, v13) = v15 & left_apart_point(v1, v5) = v12 & left_apart_point(v1, v2) = v10 & left_apart_point(v0, v13) = v14 & left_apart_point(v0, v3) = v11 & left_apart_point(v0, v2) = v9 & reverse_line(v3) = v13 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0))) % 109.95/62.72 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v0, v3) = v4) | ~ (reverse_line(v2) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v5) = v11 & left_apart_point(v1, v3) = v9 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v5) = v10 & left_apart_point(v0, v2) = v7 & reverse_line(v3) = v12 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0))) % 109.95/62.72 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0)) % 109.95/62.72 | (38) ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (intersection_point(v0, v1) = v6 & point(v6) = v7 & line(v1) = v3 & line(v0) = v2 & reverse_line(v1) = v4 & unequally_directed_lines(v0, v4) = v5 & ( ~ (v5 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v7 = 0))) % 109.95/62.72 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v3) | ~ (unequally_directed_lines(v1, v2) = v5) | ~ (unequally_directed_lines(v0, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (reverse_line(v1) = v7 & unequally_directed_lines(v1, v3) = v10 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v2) = v9 & unequally_directed_lines(v0, v1) = v6 & ( ~ (v8 = 0) | ~ (v6 = 0) | (v10 = 0 & v5 = 0) | (v9 = 0 & v4 = 0)))) % 109.95/62.72 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (distinct_points(v1, v2) = v3) | ~ (incident_point_and_line(v1, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (before_on_line(v0, v1, v2) = v5 & incident_point_and_line(v2, v0) = v6 & line_connecting(v1, v2) = v7 & equally_directed_lines(v0, v7) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v6 = 0 & v4 = 0 & v3 = 0)))) % 109.95/62.72 | (41) ! [v0] : ! [v1] : ~ (left_apart_point(v0, v1) = 0) % 109.95/62.72 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v0, v2) = v3) | ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v1, v2) = 0) % 109.95/62.72 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | v6 = 0 | ~ (left_apart_point(v1, v5) = v7) | ~ (left_apart_point(v0, v5) = v6) | ~ (reverse_line(v3) = v5) | ~ (reverse_line(v2) = v4) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v4) = v15 & left_apart_point(v1, v3) = v13 & left_apart_point(v1, v2) = v11 & left_apart_point(v0, v4) = v14 & left_apart_point(v0, v3) = v12 & left_apart_point(v0, v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) % 109.95/62.72 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v3) = v4) | ~ (left_apart_point(v0, v5) = v6) | ~ (reverse_line(v3) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & left_apart_point(v1, v11) = v13 & left_apart_point(v1, v5) = v14 & left_apart_point(v1, v2) = v9 & left_apart_point(v0, v11) = v12 & left_apart_point(v0, v3) = v10 & left_apart_point(v0, v2) = v8 & reverse_line(v2) = v11 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v12 = 0 | v10 = 0 | v9 = 0 | v8 = 0))) % 109.95/62.72 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | v5 = 0 | ~ (left_apart_point(v1, v4) = v5) | ~ (left_apart_point(v0, v6) = v7) | ~ (reverse_line(v3) = v6) | ~ (reverse_line(v2) = v4) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v6) = v15 & left_apart_point(v1, v3) = v13 & left_apart_point(v1, v2) = v11 & left_apart_point(v0, v4) = v14 & left_apart_point(v0, v3) = v12 & left_apart_point(v0, v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) % 109.95/62.73 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v3, v2) = v5) | ~ (before_on_line(v0, v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v8 & before_on_line(v0, v2, v3) = v6 & before_on_line(v0, v2, v1) = v7 & (v8 = 0 | (( ~ (v7 = 0) | ~ (v5 = 0)) & ( ~ (v6 = 0) | ~ (v4 = 0)))))) % 109.95/62.73 | (47) ! [v0] : ! [v1] : ! [v2] : ( ~ (left_apart_point(v0, v2) = 0) | ~ (reverse_line(v1) = v2)) % 109.95/62.73 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_convergent_lines(v0, v2) = v3) | ~ (left_convergent_lines(v0, v1) = 0) | unequally_directed_lines(v1, v2) = 0) % 109.95/62.73 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v4) | ~ (reverse_line(v1) = v3) | ~ (unequally_directed_lines(v0, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (unequally_directed_lines(v1, v4) = v10 & unequally_directed_lines(v1, v2) = v9 & unequally_directed_lines(v0, v3) = v7 & unequally_directed_lines(v0, v2) = v8 & unequally_directed_lines(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | (v10 = 0 & v9 = 0) | (v8 = 0 & v5 = 0)))) % 109.95/62.73 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v3) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v7 & distinct_points(v0, v1) = v6 & left_apart_point(v1, v13) = v15 & left_apart_point(v1, v10) = v12 & left_apart_point(v1, v3) = v9 & left_apart_point(v0, v13) = v14 & left_apart_point(v0, v10) = v11 & left_apart_point(v0, v2) = v8 & reverse_line(v3) = v13 & reverse_line(v2) = v10 & ( ~ (v7 = 0) | ~ (v6 = 0) | v15 = 0 | v14 = 0 | v12 = 0 | v11 = 0 | v9 = 0 | v8 = 0))) % 109.95/62.73 | (51) ! [v0] : ! [v1] : ! [v2] : ( ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = 0) | unequally_directed_opposite_lines(v0, v1) = 0) % 109.95/62.73 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v3, v2) = v4) | ~ (before_on_line(v0, v2, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v6 & before_on_line(v0, v2, v3) = v8 & before_on_line(v0, v1, v2) = v7 & ( ~ (v6 = 0) | (v8 = 0 & v7 = 0))) | (v5 = 0 & v4 = 0)) % 109.95/62.73 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v1, v3) = v5) | ~ (left_apart_point(v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v9) = v11 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v9) = v10 & left_apart_point(v0, v3) = v8 & left_apart_point(v0, v2) = v7 & reverse_line(v3) = v12 & reverse_line(v2) = v9 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0))) % 109.95/62.73 | (54) ! [v0] : ! [v1] : ( ~ (unequally_directed_opposite_lines(v0, v1) = 0) | ? [v2] : ? [v3] : (convergent_lines(v0, v1) = v3 & unequally_directed_lines(v0, v1) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 109.95/62.73 | (55) ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ? [v3] : (convergent_lines(v0, v1) = v3 & unequally_directed_opposite_lines(v0, v1) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 109.95/62.73 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v0, v2) = v4) | ~ (reverse_line(v3) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & left_apart_point(v1, v10) = v12 & left_apart_point(v1, v5) = v14 & left_apart_point(v1, v3) = v9 & left_apart_point(v1, v2) = v7 & left_apart_point(v0, v10) = v11 & left_apart_point(v0, v5) = v13 & left_apart_point(v0, v3) = v8 & reverse_line(v2) = v10 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v9 = 0 | v8 = 0 | v7 = 0))) % 109.95/62.73 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (incident_point_and_line(v2, v0) = v3) | ~ (line_connecting(v1, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & incident_point_and_line(v1, v0) = v7 & equally_directed_lines(v0, v4) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v7 = 0 & v6 = 0 & v3 = 0)))) % 109.95/62.73 | (58) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ( ~ (v12 = 0) & parallel_through_point(v2, v5) = v10 & parallel_through_point(v2, v4) = v8 & parallel_through_point(v2, v3) = v6 & intersection_point(v1, v10) = v11 & intersection_point(v1, v8) = v9 & intersection_point(v1, v6) = v7 & between_on_line(v1, v7, v9, v11) = v12 & between_on_line(v0, v3, v4, v5) = 0 & convergent_lines(v1, v2) = 0 & convergent_lines(v0, v2) = 0 & convergent_lines(v0, v1) = 0) % 109.95/62.73 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (left_apart_point(v1, v3) = v5) | ~ (left_apart_point(v0, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v7 & distinct_points(v0, v1) = v6 & left_apart_point(v1, v13) = v15 & left_apart_point(v1, v10) = v12 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v13) = v14 & left_apart_point(v0, v10) = v11 & left_apart_point(v0, v3) = v9 & reverse_line(v3) = v13 & reverse_line(v2) = v10 & ( ~ (v7 = 0) | ~ (v6 = 0) | v15 = 0 | v14 = 0 | v12 = 0 | v11 = 0 | v9 = 0 | v8 = 0))) % 109.95/62.73 | (60) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_opposite_lines(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & reverse_line(v1) = v3 & unequally_directed_lines(v0, v3) = v4)) % 109.95/62.73 | (61) ! [v0] : ! [v1] : ( ~ (right_convergent_lines(v0, v1) = 0) | ? [v2] : (left_convergent_lines(v0, v2) = 0 & reverse_line(v1) = v2)) % 109.95/62.73 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v1, v2) = v4) | ~ (right_apart_point(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v5 & left_apart_point(v0, v2) = v6 & right_apart_point(v1, v2) = v7 & ( ~ (v5 = 0) | (v7 = 0 & v6 = 0))) | (v4 = 0 & v3 = 0)) % 109.95/62.73 | (63) ! [v0] : ! [v1] : ( ~ (reverse_line(v0) = v1) | ? [v2] : ? [v3] : (line(v1) = v3 & line(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 109.95/62.73 | (64) ! [v0] : ! [v1] : ( ~ (reverse_line(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & distinct_lines(v0, v1) = v2)) % 109.95/62.73 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unequally_directed_lines(v0, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (reverse_line(v2) = v6 & reverse_line(v1) = v4 & unequally_directed_lines(v1, v6) = v9 & unequally_directed_lines(v1, v2) = v8 & unequally_directed_lines(v0, v6) = v7 & unequally_directed_lines(v0, v4) = v5 & ( ~ (v5 = 0) | (v9 = 0 & v8 = 0) | (v7 = 0 & v3 = 0)))) % 109.95/62.73 | (66) ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (point(v1) = v4 & point(v0) = v3 & line(v2) = v6 & distinct_points(v0, v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v6 = 0))) % 109.95/62.73 | (67) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (point(v2) = v1) | ~ (point(v2) = v0)) % 109.95/62.73 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_apart_point(v0, v2) = v3) | ~ (reverse_line(v1) = v2) | ? [v4] : ( ~ (v4 = 0) & right_apart_point(v0, v1) = v4)) % 109.95/62.73 | (69) ! [v0] : ! [v1] : ! [v2] : ( ~ (divides_points(v2, v0, v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (left_apart_point(v1, v2) = v6 & left_apart_point(v0, v2) = v3 & right_apart_point(v1, v2) = v4 & right_apart_point(v0, v2) = v5 & ((v6 = 0 & v5 = 0) | (v4 = 0 & v3 = 0)))) % 109.95/62.73 | (70) ! [v0] : ! [v1] : ( ~ (right_apart_point(v0, v1) = 0) | ? [v2] : (left_apart_point(v0, v2) = 0 & reverse_line(v1) = v2)) % 109.95/62.73 | (71) ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (point(v1) = v3 & line(v2) = v5 & line(v0) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) % 109.95/62.73 | (72) ! [v0] : ! [v1] : ( ~ (line(v1) = 0) | ~ (line(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (intersection_point(v0, v1) = v5 & point(v5) = v6 & reverse_line(v1) = v3 & unequally_directed_lines(v0, v3) = v4 & unequally_directed_lines(v0, v1) = v2 & ( ~ (v4 = 0) | ~ (v2 = 0) | v6 = 0))) % 109.95/62.73 | (73) ! [v0] : ! [v1] : ! [v2] : ( ~ (line(v0) = 0) | ~ (reverse_line(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (intersection_point(v0, v1) = v6 & point(v6) = v7 & line(v1) = v3 & unequally_directed_lines(v0, v2) = v5 & unequally_directed_lines(v0, v1) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v7 = 0))) % 109.95/62.73 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (before_on_line(v4, v3, v2) = v1) | ~ (before_on_line(v4, v3, v2) = v0)) % 109.95/62.73 | (75) ! [v0] : ! [v1] : ( ~ (point(v1) = 0) | ~ (line(v0) = 0) | ? [v2] : (parallel_through_point(v0, v1) = v2 & line(v2) = 0)) % 109.95/62.73 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v0, v3) = v5) | ~ (left_apart_point(v0, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v9) = v11 & left_apart_point(v1, v3) = v8 & left_apart_point(v1, v2) = v7 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v9) = v10 & reverse_line(v3) = v12 & reverse_line(v2) = v9 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0))) % 109.95/62.73 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (line_connecting(v0, v1) = v3) | ~ (left_apart_point(v0, v2) = 0) | ? [v4] : ? [v5] : ? [v6] : (distinct_points(v0, v1) = v4 & left_convergent_lines(v3, v2) = v6 & left_apart_point(v1, v2) = v5 & ( ~ (v4 = 0) | v6 = 0 | v5 = 0))) % 109.95/62.73 | (78) ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : (line_connecting(v1, v0) = v3 & line_connecting(v0, v1) = v2 & equally_directed_lines(v2, v4) = 0 & reverse_line(v3) = v4)) % 109.95/62.73 | (79) ! [v0] : ! [v1] : ~ (left_convergent_lines(v0, v1) = 0) % 109.95/62.73 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (line_connecting(v1, v2) = v3) | ~ (equally_directed_lines(v0, v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (distinct_points(v1, v2) = v4 & before_on_line(v0, v1, v2) = v7 & incident_point_and_line(v2, v0) = v6 & incident_point_and_line(v1, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v7 = 0))) % 109.95/62.73 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | v5 = 0 | ~ (left_apart_point(v1, v6) = v7) | ~ (left_apart_point(v0, v4) = v5) | ~ (reverse_line(v3) = v6) | ~ (reverse_line(v2) = v4) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v4) = v14 & left_apart_point(v1, v3) = v13 & left_apart_point(v1, v2) = v11 & left_apart_point(v0, v6) = v15 & left_apart_point(v0, v3) = v12 & left_apart_point(v0, v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) % 109.95/62.73 | (82) ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (distinct_points(v0, v1) = v3 & apart_point_and_line(v1, v2) = v5 & apart_point_and_line(v0, v2) = v4 & ( ~ (v3 = 0) | ( ~ (v5 = 0) & ~ (v4 = 0))))) % 109.95/62.73 | (83) ! [v0] : ! [v1] : ! [v2] : ( ~ (left_apart_point(v0, v1) = 0) | ~ (unequally_directed_lines(v1, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : (distinct_lines(v1, v2) = v3 & left_apart_point(v0, v4) = v5 & reverse_line(v2) = v4 & (v5 = 0 | v3 = 0))) % 109.95/62.73 | (84) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ (convergent_lines(v3, v2) = v0)) % 109.95/62.73 | (85) ! [v0] : ! [v1] : ! [v2] : ( ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v0, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : (line_connecting(v0, v1) = v4 & left_convergent_lines(v4, v2) = v5 & left_apart_point(v1, v2) = v3 & (v5 = 0 | v3 = 0))) % 109.95/62.73 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v1, v3) = v4) | ~ (reverse_line(v2) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v5) = v11 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v5) = v10 & left_apart_point(v0, v3) = v9 & left_apart_point(v0, v2) = v7 & reverse_line(v3) = v12 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0))) % 109.95/62.73 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v1, v2) = v3) | ~ (left_apart_point(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : (left_apart_point(v0, v5) = v6 & reverse_line(v2) = v5 & unequally_directed_lines(v1, v2) = v4 & ( ~ (v4 = 0) | v6 = 0))) % 109.95/62.73 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equally_directed_lines(v3, v2) = v1) | ~ (equally_directed_lines(v3, v2) = v0)) % 109.95/62.73 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v1, v2) = v4) | ~ (reverse_line(v3) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & left_apart_point(v1, v10) = v12 & left_apart_point(v1, v5) = v14 & left_apart_point(v1, v3) = v9 & left_apart_point(v0, v10) = v11 & left_apart_point(v0, v5) = v13 & left_apart_point(v0, v3) = v8 & left_apart_point(v0, v2) = v7 & reverse_line(v2) = v10 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v9 = 0 | v8 = 0 | v7 = 0))) % 109.95/62.74 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v4) | ~ (unequally_directed_lines(v1, v4) = v5) | ~ (unequally_directed_lines(v0, v2) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (reverse_line(v1) = v7 & unequally_directed_lines(v1, v2) = v10 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v4) = v9 & unequally_directed_lines(v0, v1) = v6 & ( ~ (v8 = 0) | ~ (v6 = 0) | (v10 = 0 & v5 = 0) | (v9 = 0 & v3 = 0)))) % 109.95/62.74 | (91) ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = 0) & ~ (v3 = 0) & line_connecting(v0, v1) = v2 & apart_point_and_line(v1, v2) = v4 & apart_point_and_line(v0, v2) = v3)) % 109.95/62.74 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v5) = v6) | ~ (reverse_line(v2) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v5) = v11 & left_apart_point(v1, v3) = v10 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v3) = v9 & left_apart_point(v0, v2) = v8 & reverse_line(v3) = v12 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0))) % 110.11/62.74 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (line_connecting(v0, v1) = v5 & left_convergent_lines(v5, v2) = v6 & left_apart_point(v0, v2) = v4 & ( ~ (v4 = 0) | v6 = 0))) % 110.11/62.74 | (94) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (reverse_line(v2) = v1) | ~ (reverse_line(v2) = v0)) % 110.11/62.74 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v2) = v4) | ~ (reverse_line(v2) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v3) = v10 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v5) = v11 & left_apart_point(v0, v3) = v9 & reverse_line(v3) = v12 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0))) % 110.11/62.74 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v3 = 0 | ~ (distinct_lines(v1, v2) = v3) | ~ (left_apart_point(v0, v4) = v5) | ~ (reverse_line(v2) = v4) | ? [v6] : ? [v7] : (left_apart_point(v0, v1) = v6 & unequally_directed_lines(v1, v2) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0)))) % 110.11/62.74 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v0, v2) = v3) | ~ (right_apart_point(v1, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v5 & left_apart_point(v1, v2) = v7 & right_apart_point(v0, v2) = v6 & ( ~ (v5 = 0) | (v7 = 0 & v6 = 0))) | (v4 = 0 & v3 = 0)) % 110.11/62.74 | (98) ! [v0] : ! [v1] : ! [v2] : ( ~ (incident_point_and_line(v2, v0) = 0) | ~ (incident_point_and_line(v1, v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (distinct_points(v1, v2) = v3 & before_on_line(v0, v1, v2) = v6 & line_connecting(v1, v2) = v4 & equally_directed_lines(v0, v4) = v5 & ( ~ (v5 = 0) | ~ (v3 = 0) | v6 = 0))) % 110.11/62.74 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0)) % 110.11/62.74 | (100) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_lines(v0, v1) = v2) | equally_directed_lines(v0, v1) = 0) % 110.11/62.74 | (101) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equally_directed_lines(v0, v1) = v2) | unequally_directed_lines(v0, v1) = 0) % 110.11/62.74 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (right_apart_point(v1, v2) = v3) | ~ (right_apart_point(v0, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v5 & left_apart_point(v1, v2) = v7 & left_apart_point(v0, v2) = v6 & ( ~ (v5 = 0) | (v7 = 0 & v4 = 0) | (v6 = 0 & v3 = 0)))) % 110.11/62.74 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v5 & right_apart_point(v1, v2) = v6 & right_apart_point(v0, v2) = v7 & ( ~ (v5 = 0) | (v7 = 0 & v4 = 0) | (v6 = 0 & v3 = 0)))) % 110.11/62.74 | (104) ! [v0] : ! [v1] : ( ~ (unequally_directed_opposite_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equally_directed_opposite_lines(v0, v1) = v2)) % 110.11/62.74 | (105) ! [v0] : ! [v1] : ( ~ (equally_directed_opposite_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & unequally_directed_opposite_lines(v0, v1) = v2)) % 110.11/62.74 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (left_apart_point(v3, v2) = v1) | ~ (left_apart_point(v3, v2) = v0)) % 110.11/62.74 | (107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | v4 = 0 | ~ (left_apart_point(v1, v3) = v5) | ~ (left_apart_point(v0, v3) = v4) | ~ (reverse_line(v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & left_apart_point(v1, v13) = v15 & left_apart_point(v1, v6) = v12 & left_apart_point(v1, v2) = v10 & left_apart_point(v0, v13) = v14 & left_apart_point(v0, v6) = v11 & left_apart_point(v0, v2) = v9 & reverse_line(v3) = v13 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0))) % 110.11/62.74 | (108) ! [v0] : ! [v1] : (v1 = 0 | ~ (equally_directed_lines(v0, v0) = v1)) % 110.11/62.74 | (109) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (right_convergent_lines(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & left_convergent_lines(v0, v3) = v4 & reverse_line(v1) = v3)) % 110.11/62.74 | (110) ! [v0] : ! [v1] : ! [v2] : ( ~ (before_on_line(v0, v1, v2) = 0) | ? [v3] : (distinct_points(v1, v2) = 0 & incident_point_and_line(v2, v0) = 0 & incident_point_and_line(v1, v0) = 0 & line_connecting(v1, v2) = v3 & equally_directed_lines(v0, v3) = 0)) % 110.11/62.74 | (111) ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (intersection_point(v0, v1) = v4 & apart_point_and_line(v4, v1) = v6 & apart_point_and_line(v4, v0) = v5 & reverse_line(v1) = v2 & unequally_directed_lines(v0, v2) = v3 & ( ~ (v3 = 0) | ( ~ (v6 = 0) & ~ (v5 = 0))))) % 110.11/62.74 | (112) ! [v0] : ( ~ (line(v0) = 0) | ? [v1] : (line(v1) = 0 & reverse_line(v0) = v1)) % 110.11/62.74 | (113) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = 0 | v4 = 0 | ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v5) = v6) | ~ (reverse_line(v3) = v7) | ~ (reverse_line(v2) = v5) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v7) = v15 & left_apart_point(v1, v5) = v13 & left_apart_point(v1, v3) = v12 & left_apart_point(v0, v7) = v14 & left_apart_point(v0, v3) = v11 & left_apart_point(v0, v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) % 110.11/62.74 | (114) ! [v0] : ! [v1] : ( ~ (unequally_directed_opposite_lines(v0, v1) = 0) | ? [v2] : (reverse_line(v1) = v2 & unequally_directed_lines(v0, v2) = 0)) % 110.11/62.74 | (115) ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (point(v1) = v3 & point(v0) = v2 & line(v4) = v5 & line_connecting(v0, v1) = v4 & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = 0))) % 110.11/62.74 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = 0 | v5 = 0 | ~ (left_apart_point(v1, v4) = v6) | ~ (left_apart_point(v0, v4) = v5) | ~ (reverse_line(v3) = v7) | ~ (reverse_line(v2) = v4) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v7) = v15 & left_apart_point(v1, v3) = v13 & left_apart_point(v1, v2) = v11 & left_apart_point(v0, v7) = v14 & left_apart_point(v0, v3) = v12 & left_apart_point(v0, v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) % 110.11/62.74 | (117) ! [v0] : ! [v1] : ! [v2] : ( ~ (left_convergent_lines(v0, v2) = 0) | ~ (reverse_line(v1) = v2) | right_convergent_lines(v0, v1) = 0) % 110.11/62.74 | (118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (reverse_line(v1) = v3) | ~ (unequally_directed_lines(v0, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (reverse_line(v2) = v7 & unequally_directed_lines(v1, v7) = v10 & unequally_directed_lines(v1, v2) = v9 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v3) = v6 & unequally_directed_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (v10 = 0 & v9 = 0) | (v8 = 0 & v4 = 0)))) % 110.11/62.74 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v3) = v4) | ~ (reverse_line(v2) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & left_apart_point(v1, v13) = v15 & left_apart_point(v1, v3) = v11 & left_apart_point(v1, v2) = v10 & left_apart_point(v0, v13) = v14 & left_apart_point(v0, v5) = v12 & left_apart_point(v0, v2) = v9 & reverse_line(v3) = v13 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0))) % 110.11/62.74 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (right_convergent_lines(v3, v2) = v1) | ~ (right_convergent_lines(v3, v2) = v0)) % 110.11/62.74 | (121) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_opposite_lines(v0, v1) = v2) | equally_directed_opposite_lines(v0, v1) = 0) % 110.11/62.74 | (122) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equally_directed_opposite_lines(v0, v1) = v2) | unequally_directed_opposite_lines(v0, v1) = 0) % 110.11/62.74 | (123) ! [v0] : ! [v1] : ! [v2] : ( ~ (left_apart_point(v0, v2) = 0) | ~ (reverse_line(v1) = v2) | right_apart_point(v0, v1) = 0) % 110.11/62.74 | (124) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v5 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v4) = v6) | ~ (left_apart_point(v0, v4) = v5) | ~ (reverse_line(v3) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v3) = v11 & left_apart_point(v1, v2) = v9 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v3) = v10 & left_apart_point(v0, v2) = v8 & reverse_line(v2) = v12 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0))) % 110.11/62.74 | (125) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (right_apart_point(v0, v1) = v2) | ? [v3] : ? [v4] : (apart_point_and_line(v0, v1) = v3 & left_apart_point(v0, v1) = v4 & ( ~ (v3 = 0) | v4 = 0))) % 110.11/62.74 | (126) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (left_apart_point(v0, v1) = v2) | ? [v3] : ? [v4] : (apart_point_and_line(v0, v1) = v3 & right_apart_point(v0, v1) = v4 & ( ~ (v3 = 0) | v4 = 0))) % 110.11/62.74 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (unequally_directed_lines(v1, v2) = v4) | ~ (unequally_directed_lines(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & unequally_directed_lines(v0, v1) = v5)) % 110.11/62.74 | (128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v2, v3) = v4) | ~ (before_on_line(v0, v2, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v8 & before_on_line(v0, v3, v2) = v7 & before_on_line(v0, v1, v2) = v6 & (v8 = 0 | (( ~ (v7 = 0) | ~ (v5 = 0)) & ( ~ (v6 = 0) | ~ (v4 = 0)))))) % 110.11/62.74 | (129) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v3, v2) = v5) | ~ (before_on_line(v0, v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v6 & before_on_line(v0, v2, v3) = v7 & before_on_line(v0, v2, v1) = v8 & ( ~ (v6 = 0) | (v8 = 0 & v5 = 0) | (v7 = 0 & v4 = 0)))) % 110.11/62.74 | (130) ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (left_convergent_lines(v0, v2) = v5 & left_convergent_lines(v0, v1) = v4 & reverse_line(v1) = v2 & unequally_directed_lines(v0, v2) = v3 & ( ~ (v3 = 0) | v5 = 0 | v4 = 0))) % 110.11/62.74 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | v4 = 0 | ~ (left_apart_point(v1, v6) = v7) | ~ (left_apart_point(v0, v3) = v4) | ~ (reverse_line(v3) = v6) | ~ (reverse_line(v2) = v5) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v5) = v14 & left_apart_point(v1, v3) = v12 & left_apart_point(v1, v2) = v11 & left_apart_point(v0, v6) = v15 & left_apart_point(v0, v5) = v13 & left_apart_point(v0, v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) % 110.11/62.74 | (132) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (left_apart_point(v0, v1) = 0) | ~ (reverse_line(v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (distinct_lines(v1, v2) = v5 & left_apart_point(v0, v3) = v6 & unequally_directed_lines(v1, v2) = v4 & ( ~ (v4 = 0) | v6 = 0 | v5 = 0))) % 110.11/62.75 | (133) ! [v0] : ! [v1] : ( ~ (point(v1) = 0) | ~ (point(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : (line(v3) = v4 & distinct_points(v0, v1) = v2 & line_connecting(v0, v1) = v3 & ( ~ (v2 = 0) | v4 = 0))) % 110.11/62.75 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (distinct_points(v0, v1) = v3) | ~ (left_apart_point(v1, v2) = v4) | ? [v5] : ( ~ (v5 = 0) & left_apart_point(v0, v2) = v5)) % 110.11/62.75 | (135) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (divides_points(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (left_apart_point(v1, v2) = v7 & left_apart_point(v0, v2) = v4 & right_apart_point(v1, v2) = v5 & right_apart_point(v0, v2) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)) & ( ~ (v5 = 0) | ~ (v4 = 0)))) % 110.11/62.75 | (136) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (right_apart_point(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & left_apart_point(v0, v3) = v4 & reverse_line(v1) = v3)) % 110.11/62.75 | (137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v2) = v4) | ~ (reverse_line(v3) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v3) = v11 & left_apart_point(v1, v2) = v9 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v5) = v15 & left_apart_point(v0, v3) = v10 & reverse_line(v2) = v12 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0))) % 110.11/62.75 | (138) ! [v0] : ! [v1] : ! [v2] : ( ~ (unequally_directed_opposite_lines(v0, v1) = v2) | ? [v3] : ? [v4] : (convergent_lines(v0, v1) = v3 & unequally_directed_lines(v0, v1) = v4 & ( ~ (v3 = 0) | (v4 = 0 & v2 = 0)))) % 110.11/62.75 | (139) ! [v0] : ! [v1] : ! [v2] : ( ~ (unequally_directed_lines(v0, v1) = v2) | ? [v3] : ? [v4] : (convergent_lines(v0, v1) = v3 & unequally_directed_opposite_lines(v0, v1) = v4 & ( ~ (v3 = 0) | (v4 = 0 & v2 = 0)))) % 110.11/62.75 | (140) ! [v0] : ! [v1] : ! [v2] : ( ~ (left_convergent_lines(v0, v2) = 0) | ~ (reverse_line(v1) = v2)) % 110.11/62.75 | (141) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v2, v3) = v4) | ~ (before_on_line(v0, v2, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v6 & before_on_line(v0, v3, v2) = v8 & before_on_line(v0, v1, v2) = v7 & ( ~ (v6 = 0) | (v8 = 0 & v5 = 0) | (v7 = 0 & v4 = 0)))) % 110.11/62.75 | (142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = 0 | v4 = 0 | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v2) = v4) | ~ (reverse_line(v3) = v7) | ~ (reverse_line(v2) = v5) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v7) = v15 & left_apart_point(v1, v3) = v12 & left_apart_point(v1, v2) = v10 & left_apart_point(v0, v7) = v14 & left_apart_point(v0, v5) = v13 & left_apart_point(v0, v3) = v11 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) % 110.11/62.75 | (143) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v3) = v4) | ~ (reverse_line(v3) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & left_apart_point(v1, v11) = v13 & left_apart_point(v1, v3) = v10 & left_apart_point(v1, v2) = v9 & left_apart_point(v0, v11) = v12 & left_apart_point(v0, v5) = v14 & left_apart_point(v0, v2) = v8 & reverse_line(v2) = v11 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v12 = 0 | v10 = 0 | v9 = 0 | v8 = 0))) % 110.11/62.75 | (144) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_lines(v0, v1) = v2) | ? [v3] : (reverse_line(v1) = v3 & unequally_directed_lines(v0, v3) = 0)) % 110.11/62.75 | (145) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v1, v2) = v4) | ~ (right_apart_point(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v7 & left_apart_point(v0, v2) = v5 & right_apart_point(v1, v2) = v6 & (v7 = 0 | (( ~ (v6 = 0) | ~ (v5 = 0)) & ( ~ (v4 = 0) | ~ (v3 = 0)))))) % 110.11/62.75 | (146) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (reverse_line(v2) = v4) | ~ (reverse_line(v1) = v3) | ~ (unequally_directed_lines(v0, v3) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (unequally_directed_lines(v1, v4) = v9 & unequally_directed_lines(v1, v2) = v8 & unequally_directed_lines(v0, v4) = v7 & unequally_directed_lines(v0, v2) = v6 & unequally_directed_lines(v0, v1) = v5 & ( ~ (v5 = 0) | (v9 = 0 & v8 = 0) | (v7 = 0 & v6 = 0)))) % 110.11/62.75 | (147) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (line_connecting(v0, v1) = v4) | ~ (left_apart_point(v1, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : (distinct_points(v0, v1) = v5 & left_convergent_lines(v4, v2) = v7 & left_apart_point(v0, v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = 0))) % 110.11/62.75 | (148) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v5) = v6) | ~ (reverse_line(v3) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v5) = v15 & left_apart_point(v1, v3) = v11 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v3) = v10 & left_apart_point(v0, v2) = v9 & reverse_line(v2) = v12 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0))) % 110.11/62.75 | (149) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unequally_directed_lines(v1, v2) = v4) | ~ (unequally_directed_lines(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (reverse_line(v2) = v8 & reverse_line(v1) = v6 & unequally_directed_lines(v1, v8) = v10 & unequally_directed_lines(v0, v8) = v9 & unequally_directed_lines(v0, v6) = v7 & unequally_directed_lines(v0, v1) = v5 & ( ~ (v7 = 0) | ~ (v5 = 0) | (v10 = 0 & v4 = 0) | (v9 = 0 & v3 = 0)))) % 110.11/62.75 | (150) ! [v0] : ~ (distinct_points(v0, v0) = 0) % 110.11/62.75 | (151) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_convergent_lines(v0, v2) = v3) | ~ (reverse_line(v1) = v2) | ? [v4] : ? [v5] : ? [v6] : (left_convergent_lines(v0, v1) = v6 & unequally_directed_lines(v0, v2) = v5 & unequally_directed_lines(v0, v1) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0) | v6 = 0))) % 110.11/62.75 | (152) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | ? [v3] : ? [v4] : (unequally_directed_lines(v0, v1) = v3 & unequally_directed_opposite_lines(v0, v1) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0)))) % 110.11/62.75 | (153) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = v3) | unequally_directed_lines(v0, v1) = 0) % 110.11/62.75 | (154) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v3) | ~ (unequally_directed_lines(v1, v3) = v5) | ~ (unequally_directed_lines(v0, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (reverse_line(v1) = v7 & unequally_directed_lines(v1, v2) = v10 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v2) = v9 & unequally_directed_lines(v0, v1) = v6 & ( ~ (v8 = 0) | ~ (v6 = 0) | (v10 = 0 & v5 = 0) | (v9 = 0 & v4 = 0)))) % 110.11/62.75 | (155) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_apart_point(v1, v2) = v3) | ~ (left_apart_point(v0, v2) = 0) | distinct_points(v0, v1) = 0) % 110.11/62.75 | (156) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (line_connecting(v1, v2) = v3) | ~ (equally_directed_lines(v0, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & incident_point_and_line(v2, v0) = v8 & incident_point_and_line(v1, v0) = v7 & ( ~ (v5 = 0) | (v8 = 0 & v7 = 0 & v6 = 0 & v4 = 0)))) % 110.11/62.75 | (157) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (reverse_line(v1) = v3) | ~ (unequally_directed_lines(v1, v2) = v4) | ~ (unequally_directed_lines(v0, v3) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (reverse_line(v2) = v7 & unequally_directed_lines(v1, v7) = v9 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v2) = v6 & unequally_directed_lines(v0, v1) = v5 & ( ~ (v5 = 0) | (v9 = 0 & v4 = 0) | (v8 = 0 & v6 = 0)))) % 110.11/62.75 | (158) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v3) = v5) | ~ (left_apart_point(v0, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v6 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v9) = v11 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v9) = v10 & left_apart_point(v0, v2) = v7 & reverse_line(v3) = v12 & reverse_line(v2) = v9 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0))) % 110.11/62.75 | (159) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unequally_directed_lines(v1, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | unequally_directed_lines(v0, v2) = 0) % 110.11/62.75 | (160) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (divides_points(v4, v3, v2) = v1) | ~ (divides_points(v4, v3, v2) = v0)) % 110.11/62.75 | (161) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_convergent_lines(v0, v2) = v3) | ~ (reverse_line(v1) = v2) | ? [v4] : ( ~ (v4 = 0) & right_convergent_lines(v0, v1) = v4)) % 110.11/62.75 | (162) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unequally_directed_lines(v0, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | unequally_directed_lines(v1, v2) = 0) % 110.11/62.75 | (163) ! [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)) % 110.11/62.75 | (164) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (distinct_points(v0, v1) = 0) | ~ (reverse_line(v3) = v5) | ~ (reverse_line(v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & left_apart_point(v1, v5) = v14 & left_apart_point(v1, v4) = v12 & left_apart_point(v1, v3) = v10 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v5) = v13 & left_apart_point(v0, v4) = v11 & left_apart_point(v0, v3) = v9 & left_apart_point(v0, v2) = v7 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0))) % 110.11/62.75 | (165) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v3, v2) = v4) | ~ (before_on_line(v0, v2, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v8 & before_on_line(v0, v2, v3) = v7 & before_on_line(v0, v1, v2) = v6 & (v8 = 0 | (( ~ (v7 = 0) | ~ (v6 = 0)) & ( ~ (v5 = 0) | ~ (v4 = 0)))))) % 110.11/62.75 | (166) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v0, v2) = v3) | ~ (right_apart_point(v1, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v7 & left_apart_point(v1, v2) = v6 & right_apart_point(v0, v2) = v5 & (v7 = 0 | (( ~ (v6 = 0) | ~ (v5 = 0)) & ( ~ (v4 = 0) | ~ (v3 = 0)))))) % 110.11/62.75 | (167) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (left_convergent_lines(v3, v2) = v1) | ~ (left_convergent_lines(v3, v2) = v0)) % 110.11/62.75 | (168) ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (distinct_points(v0, v1) = v3 & line_connecting(v0, v1) = v4 & equally_directed_lines(v4, v5) = v6 & reverse_line(v2) = v5 & ( ~ (v3 = 0) | v6 = 0))) % 110.11/62.75 | (169) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v1, v2) = v3) | ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v0, v2) = 0) % 110.11/62.75 | (170) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | v4 = 0 | ~ (left_apart_point(v1, v3) = v4) | ~ (left_apart_point(v0, v6) = v7) | ~ (reverse_line(v3) = v6) | ~ (reverse_line(v2) = v5) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v6) = v15 & left_apart_point(v1, v5) = v14 & left_apart_point(v1, v2) = v11 & left_apart_point(v0, v5) = v13 & left_apart_point(v0, v3) = v12 & left_apart_point(v0, v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) % 110.11/62.75 | (171) ! [v0] : ! [v1] : ! [v2] : ( ~ (distinct_points(v1, v2) = 0) | ~ (incident_point_and_line(v1, v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (before_on_line(v0, v1, v2) = v6 & incident_point_and_line(v2, v0) = v3 & line_connecting(v1, v2) = v4 & equally_directed_lines(v0, v4) = v5 & ( ~ (v5 = 0) | ~ (v3 = 0) | v6 = 0))) % 110.11/62.75 | (172) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (before_on_line(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (distinct_points(v1, v2) = v4 & incident_point_and_line(v2, v0) = v6 & incident_point_and_line(v1, v0) = v5 & line_connecting(v1, v2) = v7 & equally_directed_lines(v0, v7) = v8 & ( ~ (v8 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) % 110.11/62.75 | (173) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (left_apart_point(v0, v3) = v4) | ~ (reverse_line(v2) = v3) | ~ (unequally_directed_lines(v1, v2) = 0) | ? [v5] : ? [v6] : (distinct_lines(v1, v2) = v6 & left_apart_point(v0, v1) = v5 & ( ~ (v5 = 0) | v6 = 0))) % 110.11/62.75 | (174) ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (distinct_points(v0, v1) = v3 & line_connecting(v1, v0) = v4 & equally_directed_lines(v2, v5) = v6 & reverse_line(v4) = v5 & ( ~ (v3 = 0) | v6 = 0))) % 110.11/62.76 | (175) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (distinct_points(v1, v2) = v3) | ~ (incident_point_and_line(v2, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (before_on_line(v0, v1, v2) = v5 & incident_point_and_line(v1, v0) = v6 & line_connecting(v1, v2) = v7 & equally_directed_lines(v0, v7) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v6 = 0 & v4 = 0 & v3 = 0)))) % 110.11/62.76 | (176) ! [v0] : ! [v1] : ! [v2] : ( ~ (distinct_points(v1, v2) = 0) | ~ (incident_point_and_line(v2, v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (before_on_line(v0, v1, v2) = v6 & incident_point_and_line(v1, v0) = v3 & line_connecting(v1, v2) = v4 & equally_directed_lines(v0, v4) = v5 & ( ~ (v5 = 0) | ~ (v3 = 0) | v6 = 0))) % 110.11/62.76 | (177) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (line_connecting(v0, v1) = v3) | ~ (left_convergent_lines(v3, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : (distinct_points(v0, v1) = v5 & left_apart_point(v1, v2) = v7 & left_apart_point(v0, v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = 0))) % 110.11/62.76 | (178) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (left_convergent_lines(v0, v2) = v4) | ~ (unequally_directed_lines(v1, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & left_convergent_lines(v0, v1) = v5)) % 110.11/62.76 | (179) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ (apart_point_and_line(v3, v2) = v0)) % 110.11/62.76 | (180) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v7 & right_apart_point(v1, v2) = v5 & right_apart_point(v0, v2) = v6 & (v7 = 0 | (( ~ (v6 = 0) | ~ (v4 = 0)) & ( ~ (v5 = 0) | ~ (v3 = 0)))))) % 110.11/62.76 | (181) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equally_directed_opposite_lines(v3, v2) = v1) | ~ (equally_directed_opposite_lines(v3, v2) = v0)) % 110.11/62.76 | (182) ! [v0] : ! [v1] : ! [v2] : ( ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (intersection_point(v0, v1) = v4 & apart_point_and_line(v4, v1) = v6 & apart_point_and_line(v4, v0) = v5 & unequally_directed_lines(v0, v1) = v3 & ( ~ (v3 = 0) | ( ~ (v6 = 0) & ~ (v5 = 0))))) % 110.11/62.76 | (183) ! [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)) % 110.11/62.76 | (184) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (incident_point_and_line(v1, v0) = 0) | ~ (line_connecting(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (distinct_points(v1, v2) = v4 & before_on_line(v0, v1, v2) = v7 & incident_point_and_line(v2, v0) = v5 & equally_directed_lines(v0, v3) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v7 = 0))) % 110.11/62.76 | (185) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | v4 = 0 | ~ (left_apart_point(v1, v2) = v5) | ~ (left_apart_point(v0, v2) = v4) | ~ (reverse_line(v3) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & left_apart_point(v1, v11) = v13 & left_apart_point(v1, v6) = v15 & left_apart_point(v1, v3) = v10 & left_apart_point(v0, v11) = v12 & left_apart_point(v0, v6) = v14 & left_apart_point(v0, v3) = v9 & reverse_line(v2) = v11 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v10 = 0 | v9 = 0))) % 110.11/62.76 | (186) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unequally_directed_lines(v1, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (reverse_line(v2) = v7 & reverse_line(v1) = v4 & unequally_directed_lines(v1, v7) = v9 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v4) = v5 & unequally_directed_lines(v0, v2) = v6 & ( ~ (v5 = 0) | (v9 = 0 & v3 = 0) | (v8 = 0 & v6 = 0)))) % 110.11/62.76 | (187) ! [v0] : ~ (distinct_lines(v0, v0) = 0) % 110.11/62.76 | (188) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (between_on_line(v0, v1, v2, v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (before_on_line(v0, v3, v2) = v6 & before_on_line(v0, v2, v3) = v5 & before_on_line(v0, v2, v1) = v7 & before_on_line(v0, v1, v2) = v4 & ((v7 = 0 & v6 = 0) | (v5 = 0 & v4 = 0)))) % 110.11/62.76 | (189) ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | equally_directed_lines(v2, v1) = 0) % 110.11/62.76 | (190) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v0, v1) = v3) | ~ (left_apart_point(v0, v2) = 0) | left_apart_point(v1, v2) = 0) % 110.11/62.76 | (191) ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equally_directed_lines(v0, v1) = v2)) % 110.11/62.76 | (192) ! [v0] : ! [v1] : ( ~ (equally_directed_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & unequally_directed_lines(v0, v1) = v2)) % 110.11/62.76 | (193) ! [v0] : ! [v1] : ! [v2] : ( ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : (left_convergent_lines(v0, v2) = v5 & left_convergent_lines(v0, v1) = v4 & unequally_directed_lines(v0, v1) = v3 & ( ~ (v3 = 0) | v5 = 0 | v4 = 0))) % 110.11/62.76 | (194) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unequally_directed_opposite_lines(v3, v2) = v1) | ~ (unequally_directed_opposite_lines(v3, v2) = v0)) % 110.11/62.76 | % 110.11/62.76 | Instantiating (58) with all_1_0_0, all_1_1_1, all_1_2_2, all_1_3_3, all_1_4_4, all_1_5_5, all_1_6_6, all_1_7_7, all_1_8_8, all_1_9_9, all_1_10_10, all_1_11_11, all_1_12_12 yields: % 110.11/62.76 | (195) ~ (all_1_0_0 = 0) & parallel_through_point(all_1_10_10, all_1_7_7) = all_1_2_2 & parallel_through_point(all_1_10_10, all_1_8_8) = all_1_4_4 & parallel_through_point(all_1_10_10, all_1_9_9) = all_1_6_6 & intersection_point(all_1_11_11, all_1_2_2) = all_1_1_1 & intersection_point(all_1_11_11, all_1_4_4) = all_1_3_3 & intersection_point(all_1_11_11, all_1_6_6) = all_1_5_5 & between_on_line(all_1_11_11, all_1_5_5, all_1_3_3, all_1_1_1) = all_1_0_0 & between_on_line(all_1_12_12, all_1_9_9, all_1_8_8, all_1_7_7) = 0 & convergent_lines(all_1_11_11, all_1_10_10) = 0 & convergent_lines(all_1_12_12, all_1_10_10) = 0 & convergent_lines(all_1_12_12, all_1_11_11) = 0 % 110.11/62.76 | % 110.11/62.76 | Applying alpha-rule on (195) yields: % 110.11/62.76 | (196) parallel_through_point(all_1_10_10, all_1_7_7) = all_1_2_2 % 110.11/62.76 | (197) convergent_lines(all_1_11_11, all_1_10_10) = 0 % 110.11/62.76 | (198) convergent_lines(all_1_12_12, all_1_10_10) = 0 % 110.11/62.76 | (199) convergent_lines(all_1_12_12, all_1_11_11) = 0 % 110.11/62.76 | (200) ~ (all_1_0_0 = 0) % 110.11/62.76 | (201) between_on_line(all_1_12_12, all_1_9_9, all_1_8_8, all_1_7_7) = 0 % 110.11/62.76 | (202) intersection_point(all_1_11_11, all_1_6_6) = all_1_5_5 % 110.11/62.76 | (203) parallel_through_point(all_1_10_10, all_1_8_8) = all_1_4_4 % 110.11/62.76 | (204) parallel_through_point(all_1_10_10, all_1_9_9) = all_1_6_6 % 110.11/62.76 | (205) intersection_point(all_1_11_11, all_1_2_2) = all_1_1_1 % 110.11/62.76 | (206) between_on_line(all_1_11_11, all_1_5_5, all_1_3_3, all_1_1_1) = all_1_0_0 % 110.11/62.76 | (207) intersection_point(all_1_11_11, all_1_4_4) = all_1_3_3 % 110.11/62.76 | % 110.11/62.76 | Instantiating formula (34) with all_1_1_1, all_1_2_2, all_1_11_11 and discharging atoms intersection_point(all_1_11_11, all_1_2_2) = all_1_1_1, yields: % 110.11/62.76 | (208) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (point(all_1_1_1) = v5 & line(all_1_2_2) = v1 & line(all_1_11_11) = v0 & reverse_line(all_1_2_2) = v3 & unequally_directed_lines(all_1_11_11, v3) = v4 & unequally_directed_lines(all_1_11_11, all_1_2_2) = v2 & ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 110.11/62.76 | % 110.11/62.76 | Instantiating formula (15) with all_1_1_1, all_1_2_2, all_1_11_11 and discharging atoms intersection_point(all_1_11_11, all_1_2_2) = all_1_1_1, yields: % 110.11/62.76 | (209) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (apart_point_and_line(all_1_1_1, all_1_2_2) = v4 & apart_point_and_line(all_1_1_1, all_1_11_11) = v3 & reverse_line(all_1_2_2) = v1 & unequally_directed_lines(all_1_11_11, v1) = v2 & unequally_directed_lines(all_1_11_11, all_1_2_2) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0)))) % 110.11/62.76 | % 110.11/62.76 | Instantiating formula (34) with all_1_3_3, all_1_4_4, all_1_11_11 and discharging atoms intersection_point(all_1_11_11, all_1_4_4) = all_1_3_3, yields: % 110.11/62.76 | (210) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (point(all_1_3_3) = v5 & line(all_1_4_4) = v1 & line(all_1_11_11) = v0 & reverse_line(all_1_4_4) = v3 & unequally_directed_lines(all_1_11_11, v3) = v4 & unequally_directed_lines(all_1_11_11, all_1_4_4) = v2 & ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 110.11/62.76 | % 110.11/62.76 | Instantiating formula (15) with all_1_3_3, all_1_4_4, all_1_11_11 and discharging atoms intersection_point(all_1_11_11, all_1_4_4) = all_1_3_3, yields: % 110.11/62.76 | (211) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (apart_point_and_line(all_1_3_3, all_1_4_4) = v4 & apart_point_and_line(all_1_3_3, all_1_11_11) = v3 & reverse_line(all_1_4_4) = v1 & unequally_directed_lines(all_1_11_11, v1) = v2 & unequally_directed_lines(all_1_11_11, all_1_4_4) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0)))) % 110.11/62.76 | % 110.11/62.76 | Instantiating formula (34) with all_1_5_5, all_1_6_6, all_1_11_11 and discharging atoms intersection_point(all_1_11_11, all_1_6_6) = all_1_5_5, yields: % 110.11/62.76 | (212) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (point(all_1_5_5) = v5 & line(all_1_6_6) = v1 & line(all_1_11_11) = v0 & reverse_line(all_1_6_6) = v3 & unequally_directed_lines(all_1_11_11, v3) = v4 & unequally_directed_lines(all_1_11_11, all_1_6_6) = v2 & ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 110.11/62.76 | % 110.11/62.76 | Instantiating formula (15) with all_1_5_5, all_1_6_6, all_1_11_11 and discharging atoms intersection_point(all_1_11_11, all_1_6_6) = all_1_5_5, yields: % 110.11/62.76 | (213) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (apart_point_and_line(all_1_5_5, all_1_6_6) = v4 & apart_point_and_line(all_1_5_5, all_1_11_11) = v3 & reverse_line(all_1_6_6) = v1 & unequally_directed_lines(all_1_11_11, v1) = v2 & unequally_directed_lines(all_1_11_11, all_1_6_6) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0)))) % 110.11/62.76 | % 110.11/62.76 | Instantiating formula (33) with all_1_10_10, all_1_11_11 and discharging atoms convergent_lines(all_1_11_11, all_1_10_10) = 0, yields: % 110.11/62.76 | (214) unequally_directed_lines(all_1_11_11, all_1_10_10) = 0 & unequally_directed_opposite_lines(all_1_11_11, all_1_10_10) = 0 % 110.11/62.76 | % 110.11/62.76 | Applying alpha-rule on (214) yields: % 110.11/62.76 | (215) unequally_directed_lines(all_1_11_11, all_1_10_10) = 0 % 110.11/62.76 | (216) unequally_directed_opposite_lines(all_1_11_11, all_1_10_10) = 0 % 110.11/62.76 | % 110.11/62.76 | Instantiating formula (33) with all_1_10_10, all_1_12_12 and discharging atoms convergent_lines(all_1_12_12, all_1_10_10) = 0, yields: % 110.11/62.76 | (217) unequally_directed_lines(all_1_12_12, all_1_10_10) = 0 & unequally_directed_opposite_lines(all_1_12_12, all_1_10_10) = 0 % 110.11/62.76 | % 110.11/62.76 | Applying alpha-rule on (217) yields: % 110.11/62.76 | (218) unequally_directed_lines(all_1_12_12, all_1_10_10) = 0 % 110.11/62.76 | (219) unequally_directed_opposite_lines(all_1_12_12, all_1_10_10) = 0 % 110.11/62.76 | % 110.11/62.76 | Instantiating formula (33) with all_1_11_11, all_1_12_12 and discharging atoms convergent_lines(all_1_12_12, all_1_11_11) = 0, yields: % 110.11/62.76 | (220) unequally_directed_lines(all_1_12_12, all_1_11_11) = 0 & unequally_directed_opposite_lines(all_1_12_12, all_1_11_11) = 0 % 110.11/62.76 | % 110.11/62.76 | Applying alpha-rule on (220) yields: % 110.11/62.77 | (221) unequally_directed_lines(all_1_12_12, all_1_11_11) = 0 % 110.11/62.77 | (222) unequally_directed_opposite_lines(all_1_12_12, all_1_11_11) = 0 % 110.11/62.77 | % 110.11/62.77 | Instantiating (213) with all_21_0_26, all_21_1_27, all_21_2_28, all_21_3_29, all_21_4_30 yields: % 110.11/62.77 | (223) apart_point_and_line(all_1_5_5, all_1_6_6) = all_21_0_26 & apart_point_and_line(all_1_5_5, all_1_11_11) = all_21_1_27 & reverse_line(all_1_6_6) = all_21_3_29 & unequally_directed_lines(all_1_11_11, all_21_3_29) = all_21_2_28 & unequally_directed_lines(all_1_11_11, all_1_6_6) = all_21_4_30 & ( ~ (all_21_2_28 = 0) | ~ (all_21_4_30 = 0) | ( ~ (all_21_0_26 = 0) & ~ (all_21_1_27 = 0))) % 110.11/62.77 | % 110.11/62.77 | Applying alpha-rule on (223) yields: % 110.11/62.77 | (224) apart_point_and_line(all_1_5_5, all_1_6_6) = all_21_0_26 % 110.11/62.77 | (225) unequally_directed_lines(all_1_11_11, all_21_3_29) = all_21_2_28 % 110.11/62.77 | (226) unequally_directed_lines(all_1_11_11, all_1_6_6) = all_21_4_30 % 110.11/62.77 | (227) reverse_line(all_1_6_6) = all_21_3_29 % 110.11/62.77 | (228) apart_point_and_line(all_1_5_5, all_1_11_11) = all_21_1_27 % 110.11/62.77 | (229) ~ (all_21_2_28 = 0) | ~ (all_21_4_30 = 0) | ( ~ (all_21_0_26 = 0) & ~ (all_21_1_27 = 0)) % 110.11/62.77 | % 110.11/62.77 | Instantiating (212) with all_23_0_31, all_23_1_32, all_23_2_33, all_23_3_34, all_23_4_35, all_23_5_36 yields: % 110.11/62.77 | (230) point(all_1_5_5) = all_23_0_31 & line(all_1_6_6) = all_23_4_35 & line(all_1_11_11) = all_23_5_36 & reverse_line(all_1_6_6) = all_23_2_33 & unequally_directed_lines(all_1_11_11, all_23_2_33) = all_23_1_32 & unequally_directed_lines(all_1_11_11, all_1_6_6) = all_23_3_34 & ( ~ (all_23_1_32 = 0) | ~ (all_23_3_34 = 0) | ~ (all_23_4_35 = 0) | ~ (all_23_5_36 = 0) | all_23_0_31 = 0) % 110.11/62.77 | % 110.11/62.77 | Applying alpha-rule on (230) yields: % 110.11/62.77 | (231) unequally_directed_lines(all_1_11_11, all_1_6_6) = all_23_3_34 % 110.11/62.77 | (232) unequally_directed_lines(all_1_11_11, all_23_2_33) = all_23_1_32 % 110.11/62.77 | (233) ~ (all_23_1_32 = 0) | ~ (all_23_3_34 = 0) | ~ (all_23_4_35 = 0) | ~ (all_23_5_36 = 0) | all_23_0_31 = 0 % 110.11/62.77 | (234) point(all_1_5_5) = all_23_0_31 % 110.11/62.77 | (235) line(all_1_6_6) = all_23_4_35 % 110.11/62.77 | (236) line(all_1_11_11) = all_23_5_36 % 110.11/62.77 | (237) reverse_line(all_1_6_6) = all_23_2_33 % 110.11/62.77 | % 110.11/62.77 | Instantiating (211) with all_25_0_37, all_25_1_38, all_25_2_39, all_25_3_40, all_25_4_41 yields: % 110.11/62.77 | (238) apart_point_and_line(all_1_3_3, all_1_4_4) = all_25_0_37 & apart_point_and_line(all_1_3_3, all_1_11_11) = all_25_1_38 & reverse_line(all_1_4_4) = all_25_3_40 & unequally_directed_lines(all_1_11_11, all_25_3_40) = all_25_2_39 & unequally_directed_lines(all_1_11_11, all_1_4_4) = all_25_4_41 & ( ~ (all_25_2_39 = 0) | ~ (all_25_4_41 = 0) | ( ~ (all_25_0_37 = 0) & ~ (all_25_1_38 = 0))) % 110.11/62.77 | % 110.11/62.77 | Applying alpha-rule on (238) yields: % 110.11/62.77 | (239) apart_point_and_line(all_1_3_3, all_1_4_4) = all_25_0_37 % 110.11/62.77 | (240) reverse_line(all_1_4_4) = all_25_3_40 % 110.11/62.77 | (241) unequally_directed_lines(all_1_11_11, all_1_4_4) = all_25_4_41 % 110.11/62.77 | (242) apart_point_and_line(all_1_3_3, all_1_11_11) = all_25_1_38 % 110.11/62.77 | (243) unequally_directed_lines(all_1_11_11, all_25_3_40) = all_25_2_39 % 110.11/62.77 | (244) ~ (all_25_2_39 = 0) | ~ (all_25_4_41 = 0) | ( ~ (all_25_0_37 = 0) & ~ (all_25_1_38 = 0)) % 110.11/62.77 | % 110.11/62.77 | Instantiating (210) with all_27_0_42, all_27_1_43, all_27_2_44, all_27_3_45, all_27_4_46, all_27_5_47 yields: % 110.11/62.77 | (245) point(all_1_3_3) = all_27_0_42 & line(all_1_4_4) = all_27_4_46 & line(all_1_11_11) = all_27_5_47 & reverse_line(all_1_4_4) = all_27_2_44 & unequally_directed_lines(all_1_11_11, all_27_2_44) = all_27_1_43 & unequally_directed_lines(all_1_11_11, all_1_4_4) = all_27_3_45 & ( ~ (all_27_1_43 = 0) | ~ (all_27_3_45 = 0) | ~ (all_27_4_46 = 0) | ~ (all_27_5_47 = 0) | all_27_0_42 = 0) % 110.11/62.77 | % 110.11/62.77 | Applying alpha-rule on (245) yields: % 110.11/62.77 | (246) unequally_directed_lines(all_1_11_11, all_1_4_4) = all_27_3_45 % 110.11/62.77 | (247) reverse_line(all_1_4_4) = all_27_2_44 % 110.11/62.77 | (248) ~ (all_27_1_43 = 0) | ~ (all_27_3_45 = 0) | ~ (all_27_4_46 = 0) | ~ (all_27_5_47 = 0) | all_27_0_42 = 0 % 110.11/62.77 | (249) point(all_1_3_3) = all_27_0_42 % 110.11/62.77 | (250) line(all_1_11_11) = all_27_5_47 % 110.11/62.77 | (251) line(all_1_4_4) = all_27_4_46 % 110.11/62.77 | (252) unequally_directed_lines(all_1_11_11, all_27_2_44) = all_27_1_43 % 110.11/62.77 | % 110.11/62.77 | Instantiating (208) with all_29_0_48, all_29_1_49, all_29_2_50, all_29_3_51, all_29_4_52, all_29_5_53 yields: % 110.11/62.77 | (253) point(all_1_1_1) = all_29_0_48 & line(all_1_2_2) = all_29_4_52 & line(all_1_11_11) = all_29_5_53 & reverse_line(all_1_2_2) = all_29_2_50 & unequally_directed_lines(all_1_11_11, all_29_2_50) = all_29_1_49 & unequally_directed_lines(all_1_11_11, all_1_2_2) = all_29_3_51 & ( ~ (all_29_1_49 = 0) | ~ (all_29_3_51 = 0) | ~ (all_29_4_52 = 0) | ~ (all_29_5_53 = 0) | all_29_0_48 = 0) % 110.11/62.77 | % 110.11/62.77 | Applying alpha-rule on (253) yields: % 110.11/62.77 | (254) point(all_1_1_1) = all_29_0_48 % 110.11/62.77 | (255) unequally_directed_lines(all_1_11_11, all_29_2_50) = all_29_1_49 % 110.11/62.77 | (256) line(all_1_2_2) = all_29_4_52 % 110.11/62.77 | (257) unequally_directed_lines(all_1_11_11, all_1_2_2) = all_29_3_51 % 110.11/62.77 | (258) ~ (all_29_1_49 = 0) | ~ (all_29_3_51 = 0) | ~ (all_29_4_52 = 0) | ~ (all_29_5_53 = 0) | all_29_0_48 = 0 % 110.11/62.77 | (259) reverse_line(all_1_2_2) = all_29_2_50 % 110.11/62.77 | (260) line(all_1_11_11) = all_29_5_53 % 110.11/62.77 | % 110.11/62.77 | Instantiating (209) with all_33_0_57, all_33_1_58, all_33_2_59, all_33_3_60, all_33_4_61 yields: % 110.11/62.77 | (261) apart_point_and_line(all_1_1_1, all_1_2_2) = all_33_0_57 & apart_point_and_line(all_1_1_1, all_1_11_11) = all_33_1_58 & reverse_line(all_1_2_2) = all_33_3_60 & unequally_directed_lines(all_1_11_11, all_33_3_60) = all_33_2_59 & unequally_directed_lines(all_1_11_11, all_1_2_2) = all_33_4_61 & ( ~ (all_33_2_59 = 0) | ~ (all_33_4_61 = 0) | ( ~ (all_33_0_57 = 0) & ~ (all_33_1_58 = 0))) % 110.11/62.77 | % 110.11/62.77 | Applying alpha-rule on (261) yields: % 110.11/62.77 | (262) unequally_directed_lines(all_1_11_11, all_33_3_60) = all_33_2_59 % 110.11/62.77 | (263) ~ (all_33_2_59 = 0) | ~ (all_33_4_61 = 0) | ( ~ (all_33_0_57 = 0) & ~ (all_33_1_58 = 0)) % 110.11/62.77 | (264) reverse_line(all_1_2_2) = all_33_3_60 % 110.11/62.77 | (265) apart_point_and_line(all_1_1_1, all_1_11_11) = all_33_1_58 % 110.11/62.77 | (266) apart_point_and_line(all_1_1_1, all_1_2_2) = all_33_0_57 % 110.11/62.77 | (267) unequally_directed_lines(all_1_11_11, all_1_2_2) = all_33_4_61 % 110.11/62.77 | % 110.11/62.77 | Instantiating formula (94) with all_1_2_2, all_29_2_50, all_33_3_60 and discharging atoms reverse_line(all_1_2_2) = all_33_3_60, reverse_line(all_1_2_2) = all_29_2_50, yields: % 110.11/62.77 | (268) all_33_3_60 = all_29_2_50 % 110.11/62.77 | % 110.11/62.77 | Instantiating formula (94) with all_1_4_4, all_25_3_40, all_27_2_44 and discharging atoms reverse_line(all_1_4_4) = all_27_2_44, reverse_line(all_1_4_4) = all_25_3_40, yields: % 110.11/62.77 | (269) all_27_2_44 = all_25_3_40 % 110.11/62.77 | % 110.11/62.77 | Instantiating formula (94) with all_1_6_6, all_21_3_29, all_23_2_33 and discharging atoms reverse_line(all_1_6_6) = all_23_2_33, reverse_line(all_1_6_6) = all_21_3_29, yields: % 110.11/62.77 | (270) all_23_2_33 = all_21_3_29 % 110.11/62.77 | % 110.11/62.77 | Instantiating formula (3) with all_1_11_11, all_29_2_50, all_29_1_49, all_33_2_59 and discharging atoms unequally_directed_lines(all_1_11_11, all_29_2_50) = all_29_1_49, yields: % 110.11/62.77 | (271) all_33_2_59 = all_29_1_49 | ~ (unequally_directed_lines(all_1_11_11, all_29_2_50) = all_33_2_59) % 110.11/62.77 | % 110.11/62.77 | Instantiating formula (3) with all_1_11_11, all_25_3_40, all_25_2_39, all_27_1_43 and discharging atoms unequally_directed_lines(all_1_11_11, all_25_3_40) = all_25_2_39, yields: % 110.11/62.77 | (272) all_27_1_43 = all_25_2_39 | ~ (unequally_directed_lines(all_1_11_11, all_25_3_40) = all_27_1_43) % 110.11/62.77 | % 110.11/62.77 | Instantiating formula (3) with all_1_11_11, all_21_3_29, all_21_2_28, all_23_1_32 and discharging atoms unequally_directed_lines(all_1_11_11, all_21_3_29) = all_21_2_28, yields: % 110.11/62.77 | (273) all_23_1_32 = all_21_2_28 | ~ (unequally_directed_lines(all_1_11_11, all_21_3_29) = all_23_1_32) % 110.11/62.77 | % 110.11/62.77 | Instantiating formula (3) with all_1_11_11, all_1_2_2, all_29_3_51, all_33_4_61 and discharging atoms unequally_directed_lines(all_1_11_11, all_1_2_2) = all_33_4_61, unequally_directed_lines(all_1_11_11, all_1_2_2) = all_29_3_51, yields: % 110.11/62.77 | (274) all_33_4_61 = all_29_3_51 % 110.11/62.77 | % 110.11/62.77 | Instantiating formula (3) with all_1_11_11, all_1_4_4, all_25_4_41, all_27_3_45 and discharging atoms unequally_directed_lines(all_1_11_11, all_1_4_4) = all_27_3_45, unequally_directed_lines(all_1_11_11, all_1_4_4) = all_25_4_41, yields: % 110.11/62.77 | (275) all_27_3_45 = all_25_4_41 % 110.11/62.77 | % 110.11/62.77 | Instantiating formula (3) with all_1_11_11, all_1_6_6, all_21_4_30, all_23_3_34 and discharging atoms unequally_directed_lines(all_1_11_11, all_1_6_6) = all_23_3_34, unequally_directed_lines(all_1_11_11, all_1_6_6) = all_21_4_30, yields: % 110.11/62.77 | (276) all_23_3_34 = all_21_4_30 % 110.11/62.77 | % 110.11/62.77 | From (268) and (264) follows: % 110.11/62.77 | (259) reverse_line(all_1_2_2) = all_29_2_50 % 110.11/62.77 | % 110.11/62.77 | From (269) and (247) follows: % 110.11/62.77 | (240) reverse_line(all_1_4_4) = all_25_3_40 % 110.11/62.77 | % 110.11/62.77 | From (270) and (237) follows: % 110.11/62.77 | (227) reverse_line(all_1_6_6) = all_21_3_29 % 110.11/62.77 | % 110.11/62.77 | From (268) and (262) follows: % 110.11/62.77 | (280) unequally_directed_lines(all_1_11_11, all_29_2_50) = all_33_2_59 % 110.11/62.77 | % 110.11/62.77 | From (269) and (252) follows: % 110.11/62.77 | (281) unequally_directed_lines(all_1_11_11, all_25_3_40) = all_27_1_43 % 110.11/62.77 | % 110.11/62.77 | From (270) and (232) follows: % 110.11/62.77 | (282) unequally_directed_lines(all_1_11_11, all_21_3_29) = all_23_1_32 % 110.11/62.77 | % 110.11/62.77 | From (274) and (267) follows: % 110.11/62.77 | (257) unequally_directed_lines(all_1_11_11, all_1_2_2) = all_29_3_51 % 110.11/62.77 | % 110.11/62.77 | From (275) and (246) follows: % 110.11/62.77 | (241) unequally_directed_lines(all_1_11_11, all_1_4_4) = all_25_4_41 % 110.11/62.77 | % 110.11/62.77 | From (276) and (231) follows: % 110.11/62.77 | (226) unequally_directed_lines(all_1_11_11, all_1_6_6) = all_21_4_30 % 110.11/62.77 | % 110.11/62.77 +-Applying beta-rule and splitting (272), into two cases. % 110.11/62.77 |-Branch one: % 110.11/62.77 | (286) ~ (unequally_directed_lines(all_1_11_11, all_25_3_40) = all_27_1_43) % 110.11/62.77 | % 110.11/62.77 | Using (281) and (286) yields: % 110.11/62.77 | (287) $false % 110.11/62.77 | % 110.11/62.77 |-The branch is then unsatisfiable % 110.11/62.77 |-Branch two: % 110.11/62.77 | (281) unequally_directed_lines(all_1_11_11, all_25_3_40) = all_27_1_43 % 110.11/62.77 | (289) all_27_1_43 = all_25_2_39 % 110.11/62.77 | % 110.11/62.77 | From (289) and (281) follows: % 110.11/62.77 | (243) unequally_directed_lines(all_1_11_11, all_25_3_40) = all_25_2_39 % 110.11/62.77 | % 110.11/62.77 +-Applying beta-rule and splitting (273), into two cases. % 110.11/62.77 |-Branch one: % 110.11/62.77 | (291) ~ (unequally_directed_lines(all_1_11_11, all_21_3_29) = all_23_1_32) % 110.11/62.77 | % 110.11/62.77 | Using (282) and (291) yields: % 110.11/62.77 | (287) $false % 110.11/62.77 | % 110.11/62.77 |-The branch is then unsatisfiable % 110.11/62.77 |-Branch two: % 110.11/62.77 | (282) unequally_directed_lines(all_1_11_11, all_21_3_29) = all_23_1_32 % 110.11/62.77 | (294) all_23_1_32 = all_21_2_28 % 110.11/62.77 | % 110.11/62.77 | From (294) and (282) follows: % 110.11/62.77 | (225) unequally_directed_lines(all_1_11_11, all_21_3_29) = all_21_2_28 % 110.11/62.77 | % 110.11/62.77 +-Applying beta-rule and splitting (271), into two cases. % 110.11/62.77 |-Branch one: % 110.11/62.77 | (296) ~ (unequally_directed_lines(all_1_11_11, all_29_2_50) = all_33_2_59) % 110.11/62.77 | % 110.11/62.77 | Using (280) and (296) yields: % 110.11/62.77 | (287) $false % 110.11/62.77 | % 110.11/62.77 |-The branch is then unsatisfiable % 110.11/62.77 |-Branch two: % 110.11/62.77 | (280) unequally_directed_lines(all_1_11_11, all_29_2_50) = all_33_2_59 % 110.11/62.77 | (299) all_33_2_59 = all_29_1_49 % 110.11/62.77 | % 110.11/62.77 | From (299) and (280) follows: % 110.11/62.77 | (255) unequally_directed_lines(all_1_11_11, all_29_2_50) = all_29_1_49 % 110.11/62.77 | % 110.11/62.77 | Instantiating formula (118) with 0, all_29_2_50, all_1_10_10, all_1_2_2, all_1_11_11 and discharging atoms reverse_line(all_1_2_2) = all_29_2_50, unequally_directed_lines(all_1_11_11, all_1_10_10) = 0, yields: % 110.11/62.77 | (301) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_10_10) = v2 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_1_10_10) = v4 & unequally_directed_lines(all_1_11_11, v2) = v3 & unequally_directed_lines(all_1_11_11, all_29_2_50) = v1 & unequally_directed_lines(all_1_11_11, all_1_2_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | (v5 = 0 & v4 = 0))) % 110.11/62.77 | % 110.11/62.77 | Instantiating formula (118) with 0, all_25_3_40, all_1_10_10, all_1_4_4, all_1_11_11 and discharging atoms reverse_line(all_1_4_4) = all_25_3_40, unequally_directed_lines(all_1_11_11, all_1_10_10) = 0, yields: % 110.11/62.77 | (302) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_10_10) = v2 & unequally_directed_lines(all_1_4_4, v2) = v5 & unequally_directed_lines(all_1_4_4, all_1_10_10) = v4 & unequally_directed_lines(all_1_11_11, v2) = v3 & unequally_directed_lines(all_1_11_11, all_25_3_40) = v1 & unequally_directed_lines(all_1_11_11, all_1_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | (v5 = 0 & v4 = 0))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (118) with 0, all_21_3_29, all_1_10_10, all_1_6_6, all_1_11_11 and discharging atoms reverse_line(all_1_6_6) = all_21_3_29, unequally_directed_lines(all_1_11_11, all_1_10_10) = 0, yields: % 110.11/62.78 | (303) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_10_10) = v2 & unequally_directed_lines(all_1_6_6, v2) = v5 & unequally_directed_lines(all_1_6_6, all_1_10_10) = v4 & unequally_directed_lines(all_1_11_11, v2) = v3 & unequally_directed_lines(all_1_11_11, all_21_3_29) = v1 & unequally_directed_lines(all_1_11_11, all_1_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | (v5 = 0 & v4 = 0))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (149) with 0, 0, all_1_10_10, all_1_11_11, all_1_11_11 and discharging atoms unequally_directed_lines(all_1_11_11, all_1_10_10) = 0, yields: % 110.11/62.78 | (304) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_10_10) = v3 & reverse_line(all_1_11_11) = v1 & unequally_directed_lines(all_1_11_11, v3) = v5 & unequally_directed_lines(all_1_11_11, v3) = v4 & unequally_directed_lines(all_1_11_11, v1) = v2 & unequally_directed_lines(all_1_11_11, all_1_11_11) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | v5 = 0 | v4 = 0)) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (65) with 0, all_1_10_10, all_1_10_10, all_1_11_11 and discharging atoms unequally_directed_lines(all_1_11_11, all_1_10_10) = 0, yields: % 110.11/62.78 | (305) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_10_10) = v2 & reverse_line(all_1_10_10) = v0 & unequally_directed_lines(all_1_10_10, v2) = v5 & unequally_directed_lines(all_1_10_10, all_1_10_10) = v4 & unequally_directed_lines(all_1_11_11, v2) = v3 & unequally_directed_lines(all_1_11_11, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (17) with all_29_2_50, all_1_2_2, all_1_10_10, all_1_11_11 and discharging atoms reverse_line(all_1_2_2) = all_29_2_50, unequally_directed_lines(all_1_11_11, all_1_10_10) = 0, yields: % 110.11/62.78 | (306) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_10_10) = v0 & unequally_directed_lines(all_1_10_10, all_29_2_50) = v5 & unequally_directed_lines(all_1_10_10, all_1_2_2) = v4 & unequally_directed_lines(all_1_11_11, v0) = v1 & unequally_directed_lines(all_1_11_11, all_29_2_50) = v3 & unequally_directed_lines(all_1_11_11, all_1_2_2) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (17) with all_25_3_40, all_1_4_4, all_1_10_10, all_1_11_11 and discharging atoms reverse_line(all_1_4_4) = all_25_3_40, unequally_directed_lines(all_1_11_11, all_1_10_10) = 0, yields: % 110.11/62.78 | (307) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_10_10) = v0 & unequally_directed_lines(all_1_10_10, all_25_3_40) = v5 & unequally_directed_lines(all_1_10_10, all_1_4_4) = v4 & unequally_directed_lines(all_1_11_11, v0) = v1 & unequally_directed_lines(all_1_11_11, all_25_3_40) = v3 & unequally_directed_lines(all_1_11_11, all_1_4_4) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (17) with all_21_3_29, all_1_6_6, all_1_10_10, all_1_11_11 and discharging atoms reverse_line(all_1_6_6) = all_21_3_29, unequally_directed_lines(all_1_11_11, all_1_10_10) = 0, yields: % 110.11/62.78 | (308) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_10_10) = v0 & unequally_directed_lines(all_1_10_10, all_21_3_29) = v5 & unequally_directed_lines(all_1_10_10, all_1_6_6) = v4 & unequally_directed_lines(all_1_11_11, v0) = v1 & unequally_directed_lines(all_1_11_11, all_21_3_29) = v3 & unequally_directed_lines(all_1_11_11, all_1_6_6) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (65) with all_29_1_49, all_29_2_50, all_1_10_10, all_1_11_11 and discharging atoms unequally_directed_lines(all_1_11_11, all_29_2_50) = all_29_1_49, unequally_directed_lines(all_1_11_11, all_1_10_10) = 0, yields: % 110.11/62.78 | (309) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_29_2_50) = v2 & reverse_line(all_1_10_10) = v0 & unequally_directed_lines(all_1_10_10, v2) = v5 & unequally_directed_lines(all_1_10_10, all_29_2_50) = v4 & unequally_directed_lines(all_1_11_11, v2) = v3 & unequally_directed_lines(all_1_11_11, v0) = v1 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_29_1_49 = 0))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (65) with all_25_2_39, all_25_3_40, all_1_10_10, all_1_11_11 and discharging atoms unequally_directed_lines(all_1_11_11, all_25_3_40) = all_25_2_39, unequally_directed_lines(all_1_11_11, all_1_10_10) = 0, yields: % 110.11/62.78 | (310) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_25_3_40) = v2 & reverse_line(all_1_10_10) = v0 & unequally_directed_lines(all_1_10_10, v2) = v5 & unequally_directed_lines(all_1_10_10, all_25_3_40) = v4 & unequally_directed_lines(all_1_11_11, v2) = v3 & unequally_directed_lines(all_1_11_11, v0) = v1 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_25_2_39 = 0))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (65) with all_21_2_28, all_21_3_29, all_1_10_10, all_1_11_11 and discharging atoms unequally_directed_lines(all_1_11_11, all_21_3_29) = all_21_2_28, unequally_directed_lines(all_1_11_11, all_1_10_10) = 0, yields: % 110.11/62.78 | (311) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_21_3_29) = v2 & reverse_line(all_1_10_10) = v0 & unequally_directed_lines(all_1_10_10, v2) = v5 & unequally_directed_lines(all_1_10_10, all_21_3_29) = v4 & unequally_directed_lines(all_1_11_11, v2) = v3 & unequally_directed_lines(all_1_11_11, v0) = v1 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_21_2_28 = 0))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (65) with all_29_3_51, all_1_2_2, all_1_10_10, all_1_11_11 and discharging atoms unequally_directed_lines(all_1_11_11, all_1_2_2) = all_29_3_51, unequally_directed_lines(all_1_11_11, all_1_10_10) = 0, yields: % 110.11/62.78 | (312) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_2_2) = v2 & reverse_line(all_1_10_10) = v0 & unequally_directed_lines(all_1_10_10, v2) = v5 & unequally_directed_lines(all_1_10_10, all_1_2_2) = v4 & unequally_directed_lines(all_1_11_11, v2) = v3 & unequally_directed_lines(all_1_11_11, v0) = v1 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_29_3_51 = 0))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (65) with all_25_4_41, all_1_4_4, all_1_10_10, all_1_11_11 and discharging atoms unequally_directed_lines(all_1_11_11, all_1_4_4) = all_25_4_41, unequally_directed_lines(all_1_11_11, all_1_10_10) = 0, yields: % 110.11/62.78 | (313) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_4_4) = v2 & reverse_line(all_1_10_10) = v0 & unequally_directed_lines(all_1_10_10, v2) = v5 & unequally_directed_lines(all_1_10_10, all_1_4_4) = v4 & unequally_directed_lines(all_1_11_11, v2) = v3 & unequally_directed_lines(all_1_11_11, v0) = v1 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_25_4_41 = 0))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (65) with all_21_4_30, all_1_6_6, all_1_10_10, all_1_11_11 and discharging atoms unequally_directed_lines(all_1_11_11, all_1_6_6) = all_21_4_30, unequally_directed_lines(all_1_11_11, all_1_10_10) = 0, yields: % 110.11/62.78 | (314) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_6_6) = v2 & reverse_line(all_1_10_10) = v0 & unequally_directed_lines(all_1_10_10, v2) = v5 & unequally_directed_lines(all_1_10_10, all_1_6_6) = v4 & unequally_directed_lines(all_1_11_11, v2) = v3 & unequally_directed_lines(all_1_11_11, v0) = v1 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_21_4_30 = 0))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (38) with all_1_10_10, all_1_11_11 and discharging atoms unequally_directed_lines(all_1_11_11, all_1_10_10) = 0, yields: % 110.11/62.78 | (315) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (intersection_point(all_1_11_11, all_1_10_10) = v4 & point(v4) = v5 & line(all_1_10_10) = v1 & line(all_1_11_11) = v0 & reverse_line(all_1_10_10) = v2 & unequally_directed_lines(all_1_11_11, v2) = v3 & ( ~ (v3 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (111) with all_1_10_10, all_1_11_11 and discharging atoms unequally_directed_lines(all_1_11_11, all_1_10_10) = 0, yields: % 110.11/62.78 | (316) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection_point(all_1_11_11, all_1_10_10) = v2 & apart_point_and_line(v2, all_1_10_10) = v4 & apart_point_and_line(v2, all_1_11_11) = v3 & reverse_line(all_1_10_10) = v0 & unequally_directed_lines(all_1_11_11, v0) = v1 & ( ~ (v1 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0)))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (130) with all_1_10_10, all_1_11_11 and discharging atoms unequally_directed_lines(all_1_11_11, all_1_10_10) = 0, yields: % 110.11/62.78 | (317) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (left_convergent_lines(all_1_11_11, v0) = v3 & left_convergent_lines(all_1_11_11, all_1_10_10) = v2 & reverse_line(all_1_10_10) = v0 & unequally_directed_lines(all_1_11_11, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | v2 = 0)) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (118) with 0, all_29_2_50, all_1_10_10, all_1_2_2, all_1_12_12 and discharging atoms reverse_line(all_1_2_2) = all_29_2_50, unequally_directed_lines(all_1_12_12, all_1_10_10) = 0, yields: % 110.11/62.78 | (318) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_10_10) = v2 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_1_10_10) = v4 & unequally_directed_lines(all_1_12_12, v2) = v3 & unequally_directed_lines(all_1_12_12, all_29_2_50) = v1 & unequally_directed_lines(all_1_12_12, all_1_2_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | (v5 = 0 & v4 = 0))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (118) with 0, all_25_3_40, all_1_10_10, all_1_4_4, all_1_12_12 and discharging atoms reverse_line(all_1_4_4) = all_25_3_40, unequally_directed_lines(all_1_12_12, all_1_10_10) = 0, yields: % 110.11/62.78 | (319) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_10_10) = v2 & unequally_directed_lines(all_1_4_4, v2) = v5 & unequally_directed_lines(all_1_4_4, all_1_10_10) = v4 & unequally_directed_lines(all_1_12_12, v2) = v3 & unequally_directed_lines(all_1_12_12, all_25_3_40) = v1 & unequally_directed_lines(all_1_12_12, all_1_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | (v5 = 0 & v4 = 0))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (118) with 0, all_21_3_29, all_1_10_10, all_1_6_6, all_1_12_12 and discharging atoms reverse_line(all_1_6_6) = all_21_3_29, unequally_directed_lines(all_1_12_12, all_1_10_10) = 0, yields: % 110.11/62.78 | (320) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_10_10) = v2 & unequally_directed_lines(all_1_6_6, v2) = v5 & unequally_directed_lines(all_1_6_6, all_1_10_10) = v4 & unequally_directed_lines(all_1_12_12, v2) = v3 & unequally_directed_lines(all_1_12_12, all_21_3_29) = v1 & unequally_directed_lines(all_1_12_12, all_1_6_6) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | (v5 = 0 & v4 = 0))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (149) with 0, 0, all_1_10_10, all_1_12_12, all_1_11_11 and discharging atoms unequally_directed_lines(all_1_11_11, all_1_10_10) = 0, unequally_directed_lines(all_1_12_12, all_1_10_10) = 0, yields: % 110.11/62.78 | (321) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_10_10) = v3 & reverse_line(all_1_12_12) = v1 & unequally_directed_lines(all_1_11_11, v3) = v4 & unequally_directed_lines(all_1_11_11, v1) = v2 & unequally_directed_lines(all_1_11_11, all_1_12_12) = v0 & unequally_directed_lines(all_1_12_12, v3) = v5 & ( ~ (v2 = 0) | ~ (v0 = 0) | v5 = 0 | v4 = 0)) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (149) with 0, 0, all_1_10_10, all_1_11_11, all_1_12_12 and discharging atoms unequally_directed_lines(all_1_11_11, all_1_10_10) = 0, unequally_directed_lines(all_1_12_12, all_1_10_10) = 0, yields: % 110.11/62.78 | (322) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_10_10) = v3 & reverse_line(all_1_11_11) = v1 & unequally_directed_lines(all_1_11_11, v3) = v5 & unequally_directed_lines(all_1_12_12, v3) = v4 & unequally_directed_lines(all_1_12_12, v1) = v2 & unequally_directed_lines(all_1_12_12, all_1_11_11) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | v5 = 0 | v4 = 0)) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (65) with 0, all_1_10_10, all_1_10_10, all_1_12_12 and discharging atoms unequally_directed_lines(all_1_12_12, all_1_10_10) = 0, yields: % 110.11/62.78 | (323) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_10_10) = v2 & reverse_line(all_1_10_10) = v0 & unequally_directed_lines(all_1_10_10, v2) = v5 & unequally_directed_lines(all_1_10_10, all_1_10_10) = v4 & unequally_directed_lines(all_1_12_12, v2) = v3 & unequally_directed_lines(all_1_12_12, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (149) with 0, 0, all_1_10_10, all_1_12_12, all_1_12_12 and discharging atoms unequally_directed_lines(all_1_12_12, all_1_10_10) = 0, yields: % 110.11/62.78 | (324) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_10_10) = v3 & reverse_line(all_1_12_12) = v1 & unequally_directed_lines(all_1_12_12, v3) = v5 & unequally_directed_lines(all_1_12_12, v3) = v4 & unequally_directed_lines(all_1_12_12, v1) = v2 & unequally_directed_lines(all_1_12_12, all_1_12_12) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | v5 = 0 | v4 = 0)) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (17) with all_29_2_50, all_1_2_2, all_1_10_10, all_1_12_12 and discharging atoms reverse_line(all_1_2_2) = all_29_2_50, unequally_directed_lines(all_1_12_12, all_1_10_10) = 0, yields: % 110.11/62.78 | (325) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_10_10) = v0 & unequally_directed_lines(all_1_10_10, all_29_2_50) = v5 & unequally_directed_lines(all_1_10_10, all_1_2_2) = v4 & unequally_directed_lines(all_1_12_12, v0) = v1 & unequally_directed_lines(all_1_12_12, all_29_2_50) = v3 & unequally_directed_lines(all_1_12_12, all_1_2_2) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (17) with all_25_3_40, all_1_4_4, all_1_10_10, all_1_12_12 and discharging atoms reverse_line(all_1_4_4) = all_25_3_40, unequally_directed_lines(all_1_12_12, all_1_10_10) = 0, yields: % 110.11/62.78 | (326) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_10_10) = v0 & unequally_directed_lines(all_1_10_10, all_25_3_40) = v5 & unequally_directed_lines(all_1_10_10, all_1_4_4) = v4 & unequally_directed_lines(all_1_12_12, v0) = v1 & unequally_directed_lines(all_1_12_12, all_25_3_40) = v3 & unequally_directed_lines(all_1_12_12, all_1_4_4) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (38) with all_1_10_10, all_1_12_12 and discharging atoms unequally_directed_lines(all_1_12_12, all_1_10_10) = 0, yields: % 110.11/62.78 | (327) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (intersection_point(all_1_12_12, all_1_10_10) = v4 & point(v4) = v5 & line(all_1_10_10) = v1 & line(all_1_12_12) = v0 & reverse_line(all_1_10_10) = v2 & unequally_directed_lines(all_1_12_12, v2) = v3 & ( ~ (v3 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (111) with all_1_10_10, all_1_12_12 and discharging atoms unequally_directed_lines(all_1_12_12, all_1_10_10) = 0, yields: % 110.11/62.78 | (328) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection_point(all_1_12_12, all_1_10_10) = v2 & apart_point_and_line(v2, all_1_10_10) = v4 & apart_point_and_line(v2, all_1_12_12) = v3 & reverse_line(all_1_10_10) = v0 & unequally_directed_lines(all_1_12_12, v0) = v1 & ( ~ (v1 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0)))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (130) with all_1_10_10, all_1_12_12 and discharging atoms unequally_directed_lines(all_1_12_12, all_1_10_10) = 0, yields: % 110.11/62.78 | (329) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (left_convergent_lines(all_1_12_12, v0) = v3 & left_convergent_lines(all_1_12_12, all_1_10_10) = v2 & reverse_line(all_1_10_10) = v0 & unequally_directed_lines(all_1_12_12, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | v2 = 0)) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (65) with 0, all_1_11_11, all_1_10_10, all_1_12_12 and discharging atoms unequally_directed_lines(all_1_12_12, all_1_10_10) = 0, unequally_directed_lines(all_1_12_12, all_1_11_11) = 0, yields: % 110.11/62.78 | (330) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_10_10) = v0 & reverse_line(all_1_11_11) = v2 & unequally_directed_lines(all_1_10_10, v2) = v5 & unequally_directed_lines(all_1_10_10, all_1_11_11) = v4 & unequally_directed_lines(all_1_12_12, v2) = v3 & unequally_directed_lines(all_1_12_12, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (65) with 0, all_1_10_10, all_1_11_11, all_1_12_12 and discharging atoms unequally_directed_lines(all_1_12_12, all_1_10_10) = 0, unequally_directed_lines(all_1_12_12, all_1_11_11) = 0, yields: % 110.11/62.78 | (331) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_10_10) = v2 & reverse_line(all_1_11_11) = v0 & unequally_directed_lines(all_1_11_11, v2) = v5 & unequally_directed_lines(all_1_11_11, all_1_10_10) = v4 & unequally_directed_lines(all_1_12_12, v2) = v3 & unequally_directed_lines(all_1_12_12, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0))) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (114) with all_1_10_10, all_1_11_11 and discharging atoms unequally_directed_opposite_lines(all_1_11_11, all_1_10_10) = 0, yields: % 110.11/62.78 | (332) ? [v0] : (reverse_line(all_1_10_10) = v0 & unequally_directed_lines(all_1_11_11, v0) = 0) % 110.11/62.78 | % 110.11/62.78 | Instantiating formula (114) with all_1_10_10, all_1_12_12 and discharging atoms unequally_directed_opposite_lines(all_1_12_12, all_1_10_10) = 0, yields: % 110.11/62.78 | (333) ? [v0] : (reverse_line(all_1_10_10) = v0 & unequally_directed_lines(all_1_12_12, v0) = 0) % 110.11/62.78 | % 110.11/62.78 | Instantiating (331) with all_70_0_78, all_70_1_79, all_70_2_80, all_70_3_81, all_70_4_82, all_70_5_83 yields: % 110.11/62.78 | (334) reverse_line(all_1_10_10) = all_70_3_81 & reverse_line(all_1_11_11) = all_70_5_83 & unequally_directed_lines(all_1_11_11, all_70_3_81) = all_70_0_78 & unequally_directed_lines(all_1_11_11, all_1_10_10) = all_70_1_79 & unequally_directed_lines(all_1_12_12, all_70_3_81) = all_70_2_80 & unequally_directed_lines(all_1_12_12, all_70_5_83) = all_70_4_82 & ( ~ (all_70_4_82 = 0) | all_70_2_80 = 0 | (all_70_0_78 = 0 & all_70_1_79 = 0)) % 110.11/62.79 | % 110.11/62.79 | Applying alpha-rule on (334) yields: % 110.11/62.79 | (335) ~ (all_70_4_82 = 0) | all_70_2_80 = 0 | (all_70_0_78 = 0 & all_70_1_79 = 0) % 110.11/62.79 | (336) unequally_directed_lines(all_1_11_11, all_1_10_10) = all_70_1_79 % 110.11/62.79 | (337) unequally_directed_lines(all_1_12_12, all_70_5_83) = all_70_4_82 % 110.11/62.79 | (338) unequally_directed_lines(all_1_11_11, all_70_3_81) = all_70_0_78 % 110.11/62.79 | (339) unequally_directed_lines(all_1_12_12, all_70_3_81) = all_70_2_80 % 110.11/62.79 | (340) reverse_line(all_1_10_10) = all_70_3_81 % 110.11/62.79 | (341) reverse_line(all_1_11_11) = all_70_5_83 % 110.11/62.79 | % 110.11/62.79 | Instantiating (333) with all_76_0_95 yields: % 110.11/62.79 | (342) reverse_line(all_1_10_10) = all_76_0_95 & unequally_directed_lines(all_1_12_12, all_76_0_95) = 0 % 110.11/62.79 | % 110.11/62.79 | Applying alpha-rule on (342) yields: % 110.11/62.79 | (343) reverse_line(all_1_10_10) = all_76_0_95 % 110.11/62.79 | (344) unequally_directed_lines(all_1_12_12, all_76_0_95) = 0 % 110.11/62.79 | % 110.11/62.79 | Instantiating (322) with all_78_0_96, all_78_1_97, all_78_2_98, all_78_3_99, all_78_4_100, all_78_5_101 yields: % 110.11/62.79 | (345) reverse_line(all_1_10_10) = all_78_2_98 & reverse_line(all_1_11_11) = all_78_4_100 & unequally_directed_lines(all_1_11_11, all_78_2_98) = all_78_0_96 & unequally_directed_lines(all_1_12_12, all_78_2_98) = all_78_1_97 & unequally_directed_lines(all_1_12_12, all_78_4_100) = all_78_3_99 & unequally_directed_lines(all_1_12_12, all_1_11_11) = all_78_5_101 & ( ~ (all_78_3_99 = 0) | ~ (all_78_5_101 = 0) | all_78_0_96 = 0 | all_78_1_97 = 0) % 110.11/62.79 | % 110.11/62.79 | Applying alpha-rule on (345) yields: % 110.11/62.79 | (346) unequally_directed_lines(all_1_12_12, all_78_2_98) = all_78_1_97 % 110.11/62.79 | (347) reverse_line(all_1_11_11) = all_78_4_100 % 110.11/62.79 | (348) ~ (all_78_3_99 = 0) | ~ (all_78_5_101 = 0) | all_78_0_96 = 0 | all_78_1_97 = 0 % 110.11/62.79 | (349) unequally_directed_lines(all_1_11_11, all_78_2_98) = all_78_0_96 % 110.11/62.79 | (350) unequally_directed_lines(all_1_12_12, all_1_11_11) = all_78_5_101 % 110.11/62.79 | (351) unequally_directed_lines(all_1_12_12, all_78_4_100) = all_78_3_99 % 110.11/62.79 | (352) reverse_line(all_1_10_10) = all_78_2_98 % 110.11/62.79 | % 110.11/62.79 | Instantiating (321) with all_80_0_102, all_80_1_103, all_80_2_104, all_80_3_105, all_80_4_106, all_80_5_107 yields: % 110.11/62.79 | (353) reverse_line(all_1_10_10) = all_80_2_104 & reverse_line(all_1_12_12) = all_80_4_106 & unequally_directed_lines(all_1_11_11, all_80_2_104) = all_80_1_103 & unequally_directed_lines(all_1_11_11, all_80_4_106) = all_80_3_105 & unequally_directed_lines(all_1_11_11, all_1_12_12) = all_80_5_107 & unequally_directed_lines(all_1_12_12, all_80_2_104) = all_80_0_102 & ( ~ (all_80_3_105 = 0) | ~ (all_80_5_107 = 0) | all_80_0_102 = 0 | all_80_1_103 = 0) % 110.11/62.79 | % 110.11/62.79 | Applying alpha-rule on (353) yields: % 110.11/62.79 | (354) unequally_directed_lines(all_1_11_11, all_80_4_106) = all_80_3_105 % 110.11/62.79 | (355) unequally_directed_lines(all_1_12_12, all_80_2_104) = all_80_0_102 % 110.11/62.79 | (356) reverse_line(all_1_10_10) = all_80_2_104 % 110.11/62.79 | (357) unequally_directed_lines(all_1_11_11, all_80_2_104) = all_80_1_103 % 110.11/62.79 | (358) ~ (all_80_3_105 = 0) | ~ (all_80_5_107 = 0) | all_80_0_102 = 0 | all_80_1_103 = 0 % 110.11/62.79 | (359) reverse_line(all_1_12_12) = all_80_4_106 % 110.11/62.79 | (360) unequally_directed_lines(all_1_11_11, all_1_12_12) = all_80_5_107 % 110.11/62.79 | % 110.11/62.79 | Instantiating (308) with all_82_0_108, all_82_1_109, all_82_2_110, all_82_3_111, all_82_4_112, all_82_5_113 yields: % 110.11/62.79 | (361) reverse_line(all_1_10_10) = all_82_5_113 & unequally_directed_lines(all_1_10_10, all_21_3_29) = all_82_0_108 & unequally_directed_lines(all_1_10_10, all_1_6_6) = all_82_1_109 & unequally_directed_lines(all_1_11_11, all_82_5_113) = all_82_4_112 & unequally_directed_lines(all_1_11_11, all_21_3_29) = all_82_2_110 & unequally_directed_lines(all_1_11_11, all_1_6_6) = all_82_3_111 & ( ~ (all_82_4_112 = 0) | (all_82_0_108 = 0 & all_82_1_109 = 0) | (all_82_2_110 = 0 & all_82_3_111 = 0)) % 110.11/62.79 | % 110.11/62.79 | Applying alpha-rule on (361) yields: % 110.11/62.79 | (362) unequally_directed_lines(all_1_11_11, all_1_6_6) = all_82_3_111 % 110.11/62.79 | (363) reverse_line(all_1_10_10) = all_82_5_113 % 110.11/62.79 | (364) unequally_directed_lines(all_1_10_10, all_21_3_29) = all_82_0_108 % 110.11/62.79 | (365) ~ (all_82_4_112 = 0) | (all_82_0_108 = 0 & all_82_1_109 = 0) | (all_82_2_110 = 0 & all_82_3_111 = 0) % 110.11/62.79 | (366) unequally_directed_lines(all_1_11_11, all_21_3_29) = all_82_2_110 % 110.11/62.79 | (367) unequally_directed_lines(all_1_11_11, all_82_5_113) = all_82_4_112 % 110.11/62.79 | (368) unequally_directed_lines(all_1_10_10, all_1_6_6) = all_82_1_109 % 110.11/62.79 | % 110.11/62.79 | Instantiating (307) with all_84_0_114, all_84_1_115, all_84_2_116, all_84_3_117, all_84_4_118, all_84_5_119 yields: % 110.11/62.79 | (369) reverse_line(all_1_10_10) = all_84_5_119 & unequally_directed_lines(all_1_10_10, all_25_3_40) = all_84_0_114 & unequally_directed_lines(all_1_10_10, all_1_4_4) = all_84_1_115 & unequally_directed_lines(all_1_11_11, all_84_5_119) = all_84_4_118 & unequally_directed_lines(all_1_11_11, all_25_3_40) = all_84_2_116 & unequally_directed_lines(all_1_11_11, all_1_4_4) = all_84_3_117 & ( ~ (all_84_4_118 = 0) | (all_84_0_114 = 0 & all_84_1_115 = 0) | (all_84_2_116 = 0 & all_84_3_117 = 0)) % 110.11/62.79 | % 110.11/62.79 | Applying alpha-rule on (369) yields: % 110.11/62.79 | (370) unequally_directed_lines(all_1_10_10, all_1_4_4) = all_84_1_115 % 110.11/62.79 | (371) unequally_directed_lines(all_1_11_11, all_1_4_4) = all_84_3_117 % 110.11/62.79 | (372) unequally_directed_lines(all_1_11_11, all_84_5_119) = all_84_4_118 % 110.11/62.79 | (373) unequally_directed_lines(all_1_11_11, all_25_3_40) = all_84_2_116 % 110.11/62.79 | (374) unequally_directed_lines(all_1_10_10, all_25_3_40) = all_84_0_114 % 110.11/62.79 | (375) reverse_line(all_1_10_10) = all_84_5_119 % 110.11/62.79 | (376) ~ (all_84_4_118 = 0) | (all_84_0_114 = 0 & all_84_1_115 = 0) | (all_84_2_116 = 0 & all_84_3_117 = 0) % 110.11/62.79 | % 110.11/62.79 | Instantiating (332) with all_88_0_121 yields: % 110.11/62.79 | (377) reverse_line(all_1_10_10) = all_88_0_121 & unequally_directed_lines(all_1_11_11, all_88_0_121) = 0 % 110.11/62.79 | % 110.11/62.79 | Applying alpha-rule on (377) yields: % 110.11/62.79 | (378) reverse_line(all_1_10_10) = all_88_0_121 % 110.11/62.79 | (379) unequally_directed_lines(all_1_11_11, all_88_0_121) = 0 % 110.11/62.79 | % 110.11/62.79 | Instantiating (330) with all_102_0_148, all_102_1_149, all_102_2_150, all_102_3_151, all_102_4_152, all_102_5_153 yields: % 110.11/62.79 | (380) reverse_line(all_1_10_10) = all_102_5_153 & reverse_line(all_1_11_11) = all_102_3_151 & unequally_directed_lines(all_1_10_10, all_102_3_151) = all_102_0_148 & unequally_directed_lines(all_1_10_10, all_1_11_11) = all_102_1_149 & unequally_directed_lines(all_1_12_12, all_102_3_151) = all_102_2_150 & unequally_directed_lines(all_1_12_12, all_102_5_153) = all_102_4_152 & ( ~ (all_102_4_152 = 0) | all_102_2_150 = 0 | (all_102_0_148 = 0 & all_102_1_149 = 0)) % 110.11/62.79 | % 110.11/62.79 | Applying alpha-rule on (380) yields: % 110.11/62.79 | (381) unequally_directed_lines(all_1_12_12, all_102_3_151) = all_102_2_150 % 110.11/62.79 | (382) reverse_line(all_1_11_11) = all_102_3_151 % 110.11/62.79 | (383) ~ (all_102_4_152 = 0) | all_102_2_150 = 0 | (all_102_0_148 = 0 & all_102_1_149 = 0) % 110.11/62.79 | (384) unequally_directed_lines(all_1_10_10, all_102_3_151) = all_102_0_148 % 110.11/62.79 | (385) unequally_directed_lines(all_1_12_12, all_102_5_153) = all_102_4_152 % 110.11/62.79 | (386) unequally_directed_lines(all_1_10_10, all_1_11_11) = all_102_1_149 % 110.11/62.79 | (387) reverse_line(all_1_10_10) = all_102_5_153 % 110.11/62.79 | % 110.11/62.79 | Instantiating (306) with all_106_0_160, all_106_1_161, all_106_2_162, all_106_3_163, all_106_4_164, all_106_5_165 yields: % 110.11/62.79 | (388) reverse_line(all_1_10_10) = all_106_5_165 & unequally_directed_lines(all_1_10_10, all_29_2_50) = all_106_0_160 & unequally_directed_lines(all_1_10_10, all_1_2_2) = all_106_1_161 & unequally_directed_lines(all_1_11_11, all_106_5_165) = all_106_4_164 & unequally_directed_lines(all_1_11_11, all_29_2_50) = all_106_2_162 & unequally_directed_lines(all_1_11_11, all_1_2_2) = all_106_3_163 & ( ~ (all_106_4_164 = 0) | (all_106_0_160 = 0 & all_106_1_161 = 0) | (all_106_2_162 = 0 & all_106_3_163 = 0)) % 110.11/62.79 | % 110.11/62.79 | Applying alpha-rule on (388) yields: % 110.11/62.79 | (389) unequally_directed_lines(all_1_11_11, all_106_5_165) = all_106_4_164 % 110.11/62.79 | (390) ~ (all_106_4_164 = 0) | (all_106_0_160 = 0 & all_106_1_161 = 0) | (all_106_2_162 = 0 & all_106_3_163 = 0) % 110.11/62.79 | (391) unequally_directed_lines(all_1_11_11, all_1_2_2) = all_106_3_163 % 110.11/62.79 | (392) unequally_directed_lines(all_1_10_10, all_1_2_2) = all_106_1_161 % 110.11/62.79 | (393) unequally_directed_lines(all_1_10_10, all_29_2_50) = all_106_0_160 % 110.11/62.79 | (394) unequally_directed_lines(all_1_11_11, all_29_2_50) = all_106_2_162 % 110.11/62.79 | (395) reverse_line(all_1_10_10) = all_106_5_165 % 110.11/62.79 | % 110.11/62.79 | Instantiating (305) with all_108_0_166, all_108_1_167, all_108_2_168, all_108_3_169, all_108_4_170, all_108_5_171 yields: % 110.11/62.79 | (396) reverse_line(all_1_10_10) = all_108_3_169 & reverse_line(all_1_10_10) = all_108_5_171 & unequally_directed_lines(all_1_10_10, all_108_3_169) = all_108_0_166 & unequally_directed_lines(all_1_10_10, all_1_10_10) = all_108_1_167 & unequally_directed_lines(all_1_11_11, all_108_3_169) = all_108_2_168 & unequally_directed_lines(all_1_11_11, all_108_5_171) = all_108_4_170 & ( ~ (all_108_4_170 = 0) | all_108_2_168 = 0 | (all_108_0_166 = 0 & all_108_1_167 = 0)) % 110.11/62.79 | % 110.11/62.79 | Applying alpha-rule on (396) yields: % 110.11/62.79 | (397) unequally_directed_lines(all_1_10_10, all_1_10_10) = all_108_1_167 % 110.11/62.79 | (398) unequally_directed_lines(all_1_11_11, all_108_3_169) = all_108_2_168 % 110.11/62.79 | (399) reverse_line(all_1_10_10) = all_108_3_169 % 110.11/62.79 | (400) reverse_line(all_1_10_10) = all_108_5_171 % 110.11/62.79 | (401) ~ (all_108_4_170 = 0) | all_108_2_168 = 0 | (all_108_0_166 = 0 & all_108_1_167 = 0) % 110.11/62.79 | (402) unequally_directed_lines(all_1_11_11, all_108_5_171) = all_108_4_170 % 110.11/62.79 | (403) unequally_directed_lines(all_1_10_10, all_108_3_169) = all_108_0_166 % 110.11/62.79 | % 110.11/62.79 | Instantiating (304) with all_110_0_172, all_110_1_173, all_110_2_174, all_110_3_175, all_110_4_176, all_110_5_177 yields: % 110.11/62.79 | (404) reverse_line(all_1_10_10) = all_110_2_174 & reverse_line(all_1_11_11) = all_110_4_176 & unequally_directed_lines(all_1_11_11, all_110_2_174) = all_110_0_172 & unequally_directed_lines(all_1_11_11, all_110_2_174) = all_110_1_173 & unequally_directed_lines(all_1_11_11, all_110_4_176) = all_110_3_175 & unequally_directed_lines(all_1_11_11, all_1_11_11) = all_110_5_177 & ( ~ (all_110_3_175 = 0) | ~ (all_110_5_177 = 0) | all_110_0_172 = 0 | all_110_1_173 = 0) % 110.11/62.79 | % 110.11/62.79 | Applying alpha-rule on (404) yields: % 110.11/62.79 | (405) reverse_line(all_1_10_10) = all_110_2_174 % 110.11/62.79 | (406) ~ (all_110_3_175 = 0) | ~ (all_110_5_177 = 0) | all_110_0_172 = 0 | all_110_1_173 = 0 % 110.11/62.79 | (407) unequally_directed_lines(all_1_11_11, all_110_2_174) = all_110_1_173 % 110.11/62.79 | (408) unequally_directed_lines(all_1_11_11, all_110_2_174) = all_110_0_172 % 110.11/62.79 | (409) unequally_directed_lines(all_1_11_11, all_1_11_11) = all_110_5_177 % 110.11/62.79 | (410) unequally_directed_lines(all_1_11_11, all_110_4_176) = all_110_3_175 % 110.11/62.79 | (411) reverse_line(all_1_11_11) = all_110_4_176 % 110.11/62.79 | % 110.11/62.79 | Instantiating (329) with all_120_0_197, all_120_1_198, all_120_2_199, all_120_3_200 yields: % 110.11/62.79 | (412) left_convergent_lines(all_1_12_12, all_120_3_200) = all_120_0_197 & left_convergent_lines(all_1_12_12, all_1_10_10) = all_120_1_198 & reverse_line(all_1_10_10) = all_120_3_200 & unequally_directed_lines(all_1_12_12, all_120_3_200) = all_120_2_199 & ( ~ (all_120_2_199 = 0) | all_120_0_197 = 0 | all_120_1_198 = 0) % 110.11/62.79 | % 110.11/62.79 | Applying alpha-rule on (412) yields: % 110.11/62.79 | (413) ~ (all_120_2_199 = 0) | all_120_0_197 = 0 | all_120_1_198 = 0 % 110.11/62.79 | (414) left_convergent_lines(all_1_12_12, all_1_10_10) = all_120_1_198 % 110.11/62.79 | (415) reverse_line(all_1_10_10) = all_120_3_200 % 110.11/62.79 | (416) left_convergent_lines(all_1_12_12, all_120_3_200) = all_120_0_197 % 110.11/62.79 | (417) unequally_directed_lines(all_1_12_12, all_120_3_200) = all_120_2_199 % 110.11/62.79 | % 110.11/62.79 | Instantiating (327) with all_122_0_201, all_122_1_202, all_122_2_203, all_122_3_204, all_122_4_205, all_122_5_206 yields: % 110.11/62.79 | (418) intersection_point(all_1_12_12, all_1_10_10) = all_122_1_202 & point(all_122_1_202) = all_122_0_201 & line(all_1_10_10) = all_122_4_205 & line(all_1_12_12) = all_122_5_206 & reverse_line(all_1_10_10) = all_122_3_204 & unequally_directed_lines(all_1_12_12, all_122_3_204) = all_122_2_203 & ( ~ (all_122_2_203 = 0) | ~ (all_122_4_205 = 0) | ~ (all_122_5_206 = 0) | all_122_0_201 = 0) % 110.11/62.79 | % 110.11/62.79 | Applying alpha-rule on (418) yields: % 110.11/62.79 | (419) reverse_line(all_1_10_10) = all_122_3_204 % 110.11/62.79 | (420) intersection_point(all_1_12_12, all_1_10_10) = all_122_1_202 % 110.11/62.79 | (421) ~ (all_122_2_203 = 0) | ~ (all_122_4_205 = 0) | ~ (all_122_5_206 = 0) | all_122_0_201 = 0 % 110.11/62.79 | (422) line(all_1_10_10) = all_122_4_205 % 110.11/62.79 | (423) unequally_directed_lines(all_1_12_12, all_122_3_204) = all_122_2_203 % 110.11/62.79 | (424) point(all_122_1_202) = all_122_0_201 % 110.11/62.79 | (425) line(all_1_12_12) = all_122_5_206 % 110.11/62.79 | % 110.11/62.79 | Instantiating (303) with all_124_0_207, all_124_1_208, all_124_2_209, all_124_3_210, all_124_4_211, all_124_5_212 yields: % 110.11/62.79 | (426) reverse_line(all_1_10_10) = all_124_3_210 & unequally_directed_lines(all_1_6_6, all_124_3_210) = all_124_0_207 & unequally_directed_lines(all_1_6_6, all_1_10_10) = all_124_1_208 & unequally_directed_lines(all_1_11_11, all_124_3_210) = all_124_2_209 & unequally_directed_lines(all_1_11_11, all_21_3_29) = all_124_4_211 & unequally_directed_lines(all_1_11_11, all_1_6_6) = all_124_5_212 & ( ~ (all_124_4_211 = 0) | ~ (all_124_5_212 = 0) | all_124_2_209 = 0 | (all_124_0_207 = 0 & all_124_1_208 = 0)) % 110.11/62.79 | % 110.11/62.79 | Applying alpha-rule on (426) yields: % 110.11/62.79 | (427) unequally_directed_lines(all_1_11_11, all_21_3_29) = all_124_4_211 % 110.11/62.79 | (428) reverse_line(all_1_10_10) = all_124_3_210 % 110.11/62.79 | (429) ~ (all_124_4_211 = 0) | ~ (all_124_5_212 = 0) | all_124_2_209 = 0 | (all_124_0_207 = 0 & all_124_1_208 = 0) % 110.11/62.80 | (430) unequally_directed_lines(all_1_11_11, all_124_3_210) = all_124_2_209 % 110.11/62.80 | (431) unequally_directed_lines(all_1_6_6, all_124_3_210) = all_124_0_207 % 110.11/62.80 | (432) unequally_directed_lines(all_1_6_6, all_1_10_10) = all_124_1_208 % 110.11/62.80 | (433) unequally_directed_lines(all_1_11_11, all_1_6_6) = all_124_5_212 % 110.11/62.80 | % 110.11/62.80 | Instantiating (328) with all_128_0_219, all_128_1_220, all_128_2_221, all_128_3_222, all_128_4_223 yields: % 110.11/62.80 | (434) intersection_point(all_1_12_12, all_1_10_10) = all_128_2_221 & apart_point_and_line(all_128_2_221, all_1_10_10) = all_128_0_219 & apart_point_and_line(all_128_2_221, all_1_12_12) = all_128_1_220 & reverse_line(all_1_10_10) = all_128_4_223 & unequally_directed_lines(all_1_12_12, all_128_4_223) = all_128_3_222 & ( ~ (all_128_3_222 = 0) | ( ~ (all_128_0_219 = 0) & ~ (all_128_1_220 = 0))) % 110.11/62.80 | % 110.11/62.80 | Applying alpha-rule on (434) yields: % 110.11/62.80 | (435) ~ (all_128_3_222 = 0) | ( ~ (all_128_0_219 = 0) & ~ (all_128_1_220 = 0)) % 110.11/62.80 | (436) intersection_point(all_1_12_12, all_1_10_10) = all_128_2_221 % 110.11/62.80 | (437) apart_point_and_line(all_128_2_221, all_1_10_10) = all_128_0_219 % 110.11/62.80 | (438) reverse_line(all_1_10_10) = all_128_4_223 % 110.11/62.80 | (439) unequally_directed_lines(all_1_12_12, all_128_4_223) = all_128_3_222 % 110.11/62.80 | (440) apart_point_and_line(all_128_2_221, all_1_12_12) = all_128_1_220 % 110.11/62.80 | % 110.11/62.80 | Instantiating (319) with all_132_0_230, all_132_1_231, all_132_2_232, all_132_3_233, all_132_4_234, all_132_5_235 yields: % 110.11/62.80 | (441) reverse_line(all_1_10_10) = all_132_3_233 & unequally_directed_lines(all_1_4_4, all_132_3_233) = all_132_0_230 & unequally_directed_lines(all_1_4_4, all_1_10_10) = all_132_1_231 & unequally_directed_lines(all_1_12_12, all_132_3_233) = all_132_2_232 & unequally_directed_lines(all_1_12_12, all_25_3_40) = all_132_4_234 & unequally_directed_lines(all_1_12_12, all_1_4_4) = all_132_5_235 & ( ~ (all_132_4_234 = 0) | ~ (all_132_5_235 = 0) | all_132_2_232 = 0 | (all_132_0_230 = 0 & all_132_1_231 = 0)) % 110.11/62.80 | % 110.11/62.80 | Applying alpha-rule on (441) yields: % 110.11/62.80 | (442) ~ (all_132_4_234 = 0) | ~ (all_132_5_235 = 0) | all_132_2_232 = 0 | (all_132_0_230 = 0 & all_132_1_231 = 0) % 110.11/62.80 | (443) unequally_directed_lines(all_1_12_12, all_25_3_40) = all_132_4_234 % 110.11/62.80 | (444) unequally_directed_lines(all_1_12_12, all_1_4_4) = all_132_5_235 % 110.11/62.80 | (445) unequally_directed_lines(all_1_4_4, all_132_3_233) = all_132_0_230 % 110.11/62.80 | (446) reverse_line(all_1_10_10) = all_132_3_233 % 110.11/62.80 | (447) unequally_directed_lines(all_1_4_4, all_1_10_10) = all_132_1_231 % 110.11/62.80 | (448) unequally_directed_lines(all_1_12_12, all_132_3_233) = all_132_2_232 % 110.11/62.80 | % 110.11/62.80 | Instantiating (318) with all_134_0_236, all_134_1_237, all_134_2_238, all_134_3_239, all_134_4_240, all_134_5_241 yields: % 110.11/62.80 | (449) reverse_line(all_1_10_10) = all_134_3_239 & unequally_directed_lines(all_1_2_2, all_134_3_239) = all_134_0_236 & unequally_directed_lines(all_1_2_2, all_1_10_10) = all_134_1_237 & unequally_directed_lines(all_1_12_12, all_134_3_239) = all_134_2_238 & unequally_directed_lines(all_1_12_12, all_29_2_50) = all_134_4_240 & unequally_directed_lines(all_1_12_12, all_1_2_2) = all_134_5_241 & ( ~ (all_134_4_240 = 0) | ~ (all_134_5_241 = 0) | all_134_2_238 = 0 | (all_134_0_236 = 0 & all_134_1_237 = 0)) % 110.11/62.80 | % 110.11/62.80 | Applying alpha-rule on (449) yields: % 110.11/62.80 | (450) unequally_directed_lines(all_1_12_12, all_134_3_239) = all_134_2_238 % 110.11/62.80 | (451) unequally_directed_lines(all_1_2_2, all_134_3_239) = all_134_0_236 % 110.11/62.80 | (452) unequally_directed_lines(all_1_12_12, all_1_2_2) = all_134_5_241 % 110.11/62.80 | (453) reverse_line(all_1_10_10) = all_134_3_239 % 110.11/62.80 | (454) unequally_directed_lines(all_1_2_2, all_1_10_10) = all_134_1_237 % 110.11/62.80 | (455) unequally_directed_lines(all_1_12_12, all_29_2_50) = all_134_4_240 % 110.11/62.80 | (456) ~ (all_134_4_240 = 0) | ~ (all_134_5_241 = 0) | all_134_2_238 = 0 | (all_134_0_236 = 0 & all_134_1_237 = 0) % 110.11/62.80 | % 110.11/62.80 | Instantiating (326) with all_138_0_248, all_138_1_249, all_138_2_250, all_138_3_251, all_138_4_252, all_138_5_253 yields: % 110.11/62.80 | (457) reverse_line(all_1_10_10) = all_138_5_253 & unequally_directed_lines(all_1_10_10, all_25_3_40) = all_138_0_248 & unequally_directed_lines(all_1_10_10, all_1_4_4) = all_138_1_249 & unequally_directed_lines(all_1_12_12, all_138_5_253) = all_138_4_252 & unequally_directed_lines(all_1_12_12, all_25_3_40) = all_138_2_250 & unequally_directed_lines(all_1_12_12, all_1_4_4) = all_138_3_251 & ( ~ (all_138_4_252 = 0) | (all_138_0_248 = 0 & all_138_1_249 = 0) | (all_138_2_250 = 0 & all_138_3_251 = 0)) % 110.11/62.80 | % 110.11/62.80 | Applying alpha-rule on (457) yields: % 110.11/62.80 | (458) unequally_directed_lines(all_1_10_10, all_1_4_4) = all_138_1_249 % 110.11/62.80 | (459) unequally_directed_lines(all_1_12_12, all_1_4_4) = all_138_3_251 % 110.11/62.80 | (460) unequally_directed_lines(all_1_10_10, all_25_3_40) = all_138_0_248 % 110.11/62.80 | (461) unequally_directed_lines(all_1_12_12, all_25_3_40) = all_138_2_250 % 110.11/62.80 | (462) unequally_directed_lines(all_1_12_12, all_138_5_253) = all_138_4_252 % 110.11/62.80 | (463) reverse_line(all_1_10_10) = all_138_5_253 % 110.11/62.80 | (464) ~ (all_138_4_252 = 0) | (all_138_0_248 = 0 & all_138_1_249 = 0) | (all_138_2_250 = 0 & all_138_3_251 = 0) % 110.11/62.80 | % 110.11/62.80 | Instantiating (320) with all_142_0_260, all_142_1_261, all_142_2_262, all_142_3_263, all_142_4_264, all_142_5_265 yields: % 110.11/62.80 | (465) reverse_line(all_1_10_10) = all_142_3_263 & unequally_directed_lines(all_1_6_6, all_142_3_263) = all_142_0_260 & unequally_directed_lines(all_1_6_6, all_1_10_10) = all_142_1_261 & unequally_directed_lines(all_1_12_12, all_142_3_263) = all_142_2_262 & unequally_directed_lines(all_1_12_12, all_21_3_29) = all_142_4_264 & unequally_directed_lines(all_1_12_12, all_1_6_6) = all_142_5_265 & ( ~ (all_142_4_264 = 0) | ~ (all_142_5_265 = 0) | all_142_2_262 = 0 | (all_142_0_260 = 0 & all_142_1_261 = 0)) % 110.11/62.80 | % 110.11/62.80 | Applying alpha-rule on (465) yields: % 110.11/62.80 | (466) unequally_directed_lines(all_1_12_12, all_21_3_29) = all_142_4_264 % 110.11/62.80 | (467) unequally_directed_lines(all_1_12_12, all_1_6_6) = all_142_5_265 % 110.11/62.80 | (468) reverse_line(all_1_10_10) = all_142_3_263 % 110.11/62.80 | (469) ~ (all_142_4_264 = 0) | ~ (all_142_5_265 = 0) | all_142_2_262 = 0 | (all_142_0_260 = 0 & all_142_1_261 = 0) % 110.11/62.80 | (470) unequally_directed_lines(all_1_6_6, all_142_3_263) = all_142_0_260 % 110.11/62.80 | (471) unequally_directed_lines(all_1_12_12, all_142_3_263) = all_142_2_262 % 110.11/62.80 | (472) unequally_directed_lines(all_1_6_6, all_1_10_10) = all_142_1_261 % 110.11/62.80 | % 110.11/62.80 | Instantiating (317) with all_164_0_311, all_164_1_312, all_164_2_313, all_164_3_314 yields: % 110.11/62.80 | (473) left_convergent_lines(all_1_11_11, all_164_3_314) = all_164_0_311 & left_convergent_lines(all_1_11_11, all_1_10_10) = all_164_1_312 & reverse_line(all_1_10_10) = all_164_3_314 & unequally_directed_lines(all_1_11_11, all_164_3_314) = all_164_2_313 & ( ~ (all_164_2_313 = 0) | all_164_0_311 = 0 | all_164_1_312 = 0) % 110.11/62.80 | % 110.11/62.80 | Applying alpha-rule on (473) yields: % 110.11/62.80 | (474) reverse_line(all_1_10_10) = all_164_3_314 % 110.11/62.80 | (475) ~ (all_164_2_313 = 0) | all_164_0_311 = 0 | all_164_1_312 = 0 % 110.11/62.80 | (476) left_convergent_lines(all_1_11_11, all_164_3_314) = all_164_0_311 % 110.11/62.80 | (477) unequally_directed_lines(all_1_11_11, all_164_3_314) = all_164_2_313 % 110.11/62.80 | (478) left_convergent_lines(all_1_11_11, all_1_10_10) = all_164_1_312 % 110.11/62.80 | % 110.11/62.80 | Instantiating (312) with all_182_0_335, all_182_1_336, all_182_2_337, all_182_3_338, all_182_4_339, all_182_5_340 yields: % 110.11/62.80 | (479) reverse_line(all_1_2_2) = all_182_3_338 & reverse_line(all_1_10_10) = all_182_5_340 & unequally_directed_lines(all_1_10_10, all_182_3_338) = all_182_0_335 & unequally_directed_lines(all_1_10_10, all_1_2_2) = all_182_1_336 & unequally_directed_lines(all_1_11_11, all_182_3_338) = all_182_2_337 & unequally_directed_lines(all_1_11_11, all_182_5_340) = all_182_4_339 & ( ~ (all_182_4_339 = 0) | (all_182_0_335 = 0 & all_182_1_336 = 0) | (all_182_2_337 = 0 & all_29_3_51 = 0)) % 110.11/62.80 | % 110.11/62.80 | Applying alpha-rule on (479) yields: % 110.11/62.80 | (480) unequally_directed_lines(all_1_11_11, all_182_3_338) = all_182_2_337 % 110.11/62.80 | (481) unequally_directed_lines(all_1_11_11, all_182_5_340) = all_182_4_339 % 110.11/62.80 | (482) reverse_line(all_1_2_2) = all_182_3_338 % 110.11/62.80 | (483) unequally_directed_lines(all_1_10_10, all_182_3_338) = all_182_0_335 % 110.11/62.80 | (484) ~ (all_182_4_339 = 0) | (all_182_0_335 = 0 & all_182_1_336 = 0) | (all_182_2_337 = 0 & all_29_3_51 = 0) % 110.11/62.80 | (485) unequally_directed_lines(all_1_10_10, all_1_2_2) = all_182_1_336 % 110.11/62.80 | (486) reverse_line(all_1_10_10) = all_182_5_340 % 110.11/62.80 | % 110.11/62.80 | Instantiating (311) with all_184_0_341, all_184_1_342, all_184_2_343, all_184_3_344, all_184_4_345, all_184_5_346 yields: % 110.11/62.80 | (487) reverse_line(all_21_3_29) = all_184_3_344 & reverse_line(all_1_10_10) = all_184_5_346 & unequally_directed_lines(all_1_10_10, all_184_3_344) = all_184_0_341 & unequally_directed_lines(all_1_10_10, all_21_3_29) = all_184_1_342 & unequally_directed_lines(all_1_11_11, all_184_3_344) = all_184_2_343 & unequally_directed_lines(all_1_11_11, all_184_5_346) = all_184_4_345 & ( ~ (all_184_4_345 = 0) | (all_184_0_341 = 0 & all_184_1_342 = 0) | (all_184_2_343 = 0 & all_21_2_28 = 0)) % 110.11/62.80 | % 110.11/62.80 | Applying alpha-rule on (487) yields: % 110.11/62.80 | (488) unequally_directed_lines(all_1_11_11, all_184_3_344) = all_184_2_343 % 110.11/62.80 | (489) unequally_directed_lines(all_1_10_10, all_21_3_29) = all_184_1_342 % 110.11/62.80 | (490) reverse_line(all_21_3_29) = all_184_3_344 % 110.11/62.80 | (491) ~ (all_184_4_345 = 0) | (all_184_0_341 = 0 & all_184_1_342 = 0) | (all_184_2_343 = 0 & all_21_2_28 = 0) % 110.11/62.80 | (492) unequally_directed_lines(all_1_11_11, all_184_5_346) = all_184_4_345 % 110.11/62.80 | (493) unequally_directed_lines(all_1_10_10, all_184_3_344) = all_184_0_341 % 110.11/62.80 | (494) reverse_line(all_1_10_10) = all_184_5_346 % 110.11/62.80 | % 110.11/62.80 | Instantiating (316) with all_186_0_347, all_186_1_348, all_186_2_349, all_186_3_350, all_186_4_351 yields: % 110.11/62.80 | (495) intersection_point(all_1_11_11, all_1_10_10) = all_186_2_349 & apart_point_and_line(all_186_2_349, all_1_10_10) = all_186_0_347 & apart_point_and_line(all_186_2_349, all_1_11_11) = all_186_1_348 & reverse_line(all_1_10_10) = all_186_4_351 & unequally_directed_lines(all_1_11_11, all_186_4_351) = all_186_3_350 & ( ~ (all_186_3_350 = 0) | ( ~ (all_186_0_347 = 0) & ~ (all_186_1_348 = 0))) % 110.11/62.80 | % 110.11/62.80 | Applying alpha-rule on (495) yields: % 110.11/62.80 | (496) ~ (all_186_3_350 = 0) | ( ~ (all_186_0_347 = 0) & ~ (all_186_1_348 = 0)) % 110.11/62.80 | (497) unequally_directed_lines(all_1_11_11, all_186_4_351) = all_186_3_350 % 110.11/62.80 | (498) apart_point_and_line(all_186_2_349, all_1_10_10) = all_186_0_347 % 110.11/62.80 | (499) intersection_point(all_1_11_11, all_1_10_10) = all_186_2_349 % 110.11/62.80 | (500) reverse_line(all_1_10_10) = all_186_4_351 % 110.11/62.80 | (501) apart_point_and_line(all_186_2_349, all_1_11_11) = all_186_1_348 % 110.11/62.80 | % 110.11/62.80 | Instantiating (314) with all_188_0_352, all_188_1_353, all_188_2_354, all_188_3_355, all_188_4_356, all_188_5_357 yields: % 110.11/62.80 | (502) reverse_line(all_1_6_6) = all_188_3_355 & reverse_line(all_1_10_10) = all_188_5_357 & unequally_directed_lines(all_1_10_10, all_188_3_355) = all_188_0_352 & unequally_directed_lines(all_1_10_10, all_1_6_6) = all_188_1_353 & unequally_directed_lines(all_1_11_11, all_188_3_355) = all_188_2_354 & unequally_directed_lines(all_1_11_11, all_188_5_357) = all_188_4_356 & ( ~ (all_188_4_356 = 0) | (all_188_0_352 = 0 & all_188_1_353 = 0) | (all_188_2_354 = 0 & all_21_4_30 = 0)) % 110.11/62.80 | % 110.11/62.80 | Applying alpha-rule on (502) yields: % 110.11/62.80 | (503) unequally_directed_lines(all_1_10_10, all_188_3_355) = all_188_0_352 % 110.11/62.80 | (504) unequally_directed_lines(all_1_10_10, all_1_6_6) = all_188_1_353 % 110.11/62.80 | (505) reverse_line(all_1_10_10) = all_188_5_357 % 110.11/62.80 | (506) reverse_line(all_1_6_6) = all_188_3_355 % 110.11/62.80 | (507) ~ (all_188_4_356 = 0) | (all_188_0_352 = 0 & all_188_1_353 = 0) | (all_188_2_354 = 0 & all_21_4_30 = 0) % 110.11/62.80 | (508) unequally_directed_lines(all_1_11_11, all_188_5_357) = all_188_4_356 % 110.11/62.80 | (509) unequally_directed_lines(all_1_11_11, all_188_3_355) = all_188_2_354 % 110.11/62.80 | % 110.11/62.80 | Instantiating (325) with all_190_0_358, all_190_1_359, all_190_2_360, all_190_3_361, all_190_4_362, all_190_5_363 yields: % 110.11/62.80 | (510) reverse_line(all_1_10_10) = all_190_5_363 & unequally_directed_lines(all_1_10_10, all_29_2_50) = all_190_0_358 & unequally_directed_lines(all_1_10_10, all_1_2_2) = all_190_1_359 & unequally_directed_lines(all_1_12_12, all_190_5_363) = all_190_4_362 & unequally_directed_lines(all_1_12_12, all_29_2_50) = all_190_2_360 & unequally_directed_lines(all_1_12_12, all_1_2_2) = all_190_3_361 & ( ~ (all_190_4_362 = 0) | (all_190_0_358 = 0 & all_190_1_359 = 0) | (all_190_2_360 = 0 & all_190_3_361 = 0)) % 110.11/62.80 | % 110.11/62.80 | Applying alpha-rule on (510) yields: % 110.11/62.80 | (511) unequally_directed_lines(all_1_12_12, all_29_2_50) = all_190_2_360 % 110.11/62.80 | (512) ~ (all_190_4_362 = 0) | (all_190_0_358 = 0 & all_190_1_359 = 0) | (all_190_2_360 = 0 & all_190_3_361 = 0) % 110.11/62.81 | (513) unequally_directed_lines(all_1_10_10, all_1_2_2) = all_190_1_359 % 110.11/62.81 | (514) unequally_directed_lines(all_1_12_12, all_1_2_2) = all_190_3_361 % 110.11/62.81 | (515) unequally_directed_lines(all_1_10_10, all_29_2_50) = all_190_0_358 % 110.11/62.81 | (516) reverse_line(all_1_10_10) = all_190_5_363 % 110.11/62.81 | (517) unequally_directed_lines(all_1_12_12, all_190_5_363) = all_190_4_362 % 110.11/62.81 | % 110.11/62.81 | Instantiating (315) with all_220_0_438, all_220_1_439, all_220_2_440, all_220_3_441, all_220_4_442, all_220_5_443 yields: % 110.11/62.81 | (518) intersection_point(all_1_11_11, all_1_10_10) = all_220_1_439 & point(all_220_1_439) = all_220_0_438 & line(all_1_10_10) = all_220_4_442 & line(all_1_11_11) = all_220_5_443 & reverse_line(all_1_10_10) = all_220_3_441 & unequally_directed_lines(all_1_11_11, all_220_3_441) = all_220_2_440 & ( ~ (all_220_2_440 = 0) | ~ (all_220_4_442 = 0) | ~ (all_220_5_443 = 0) | all_220_0_438 = 0) % 110.11/62.81 | % 110.11/62.81 | Applying alpha-rule on (518) yields: % 110.11/62.81 | (519) reverse_line(all_1_10_10) = all_220_3_441 % 110.11/62.81 | (520) unequally_directed_lines(all_1_11_11, all_220_3_441) = all_220_2_440 % 110.11/62.81 | (521) ~ (all_220_2_440 = 0) | ~ (all_220_4_442 = 0) | ~ (all_220_5_443 = 0) | all_220_0_438 = 0 % 110.11/62.81 | (522) line(all_1_11_11) = all_220_5_443 % 110.11/62.81 | (523) line(all_1_10_10) = all_220_4_442 % 110.11/62.81 | (524) intersection_point(all_1_11_11, all_1_10_10) = all_220_1_439 % 110.11/62.81 | (525) point(all_220_1_439) = all_220_0_438 % 110.11/62.81 | % 110.11/62.81 | Instantiating (313) with all_244_0_493, all_244_1_494, all_244_2_495, all_244_3_496, all_244_4_497, all_244_5_498 yields: % 110.11/62.81 | (526) reverse_line(all_1_4_4) = all_244_3_496 & reverse_line(all_1_10_10) = all_244_5_498 & unequally_directed_lines(all_1_10_10, all_244_3_496) = all_244_0_493 & unequally_directed_lines(all_1_10_10, all_1_4_4) = all_244_1_494 & unequally_directed_lines(all_1_11_11, all_244_3_496) = all_244_2_495 & unequally_directed_lines(all_1_11_11, all_244_5_498) = all_244_4_497 & ( ~ (all_244_4_497 = 0) | (all_244_0_493 = 0 & all_244_1_494 = 0) | (all_244_2_495 = 0 & all_25_4_41 = 0)) % 110.11/62.81 | % 110.11/62.81 | Applying alpha-rule on (526) yields: % 110.11/62.81 | (527) reverse_line(all_1_4_4) = all_244_3_496 % 110.11/62.81 | (528) unequally_directed_lines(all_1_10_10, all_1_4_4) = all_244_1_494 % 110.11/62.81 | (529) unequally_directed_lines(all_1_11_11, all_244_5_498) = all_244_4_497 % 110.11/62.81 | (530) unequally_directed_lines(all_1_10_10, all_244_3_496) = all_244_0_493 % 110.11/62.81 | (531) unequally_directed_lines(all_1_11_11, all_244_3_496) = all_244_2_495 % 110.11/62.81 | (532) reverse_line(all_1_10_10) = all_244_5_498 % 110.11/62.81 | (533) ~ (all_244_4_497 = 0) | (all_244_0_493 = 0 & all_244_1_494 = 0) | (all_244_2_495 = 0 & all_25_4_41 = 0) % 110.11/62.81 | % 110.11/62.81 | Instantiating (302) with all_276_0_577, all_276_1_578, all_276_2_579, all_276_3_580, all_276_4_581, all_276_5_582 yields: % 110.11/62.81 | (534) reverse_line(all_1_10_10) = all_276_3_580 & unequally_directed_lines(all_1_4_4, all_276_3_580) = all_276_0_577 & unequally_directed_lines(all_1_4_4, all_1_10_10) = all_276_1_578 & unequally_directed_lines(all_1_11_11, all_276_3_580) = all_276_2_579 & unequally_directed_lines(all_1_11_11, all_25_3_40) = all_276_4_581 & unequally_directed_lines(all_1_11_11, all_1_4_4) = all_276_5_582 & ( ~ (all_276_4_581 = 0) | ~ (all_276_5_582 = 0) | all_276_2_579 = 0 | (all_276_0_577 = 0 & all_276_1_578 = 0)) % 110.11/62.81 | % 110.11/62.81 | Applying alpha-rule on (534) yields: % 110.11/62.81 | (535) unequally_directed_lines(all_1_4_4, all_1_10_10) = all_276_1_578 % 110.11/62.81 | (536) unequally_directed_lines(all_1_11_11, all_25_3_40) = all_276_4_581 % 110.11/62.81 | (537) unequally_directed_lines(all_1_11_11, all_276_3_580) = all_276_2_579 % 110.11/62.81 | (538) ~ (all_276_4_581 = 0) | ~ (all_276_5_582 = 0) | all_276_2_579 = 0 | (all_276_0_577 = 0 & all_276_1_578 = 0) % 110.11/62.81 | (539) unequally_directed_lines(all_1_4_4, all_276_3_580) = all_276_0_577 % 110.11/62.81 | (540) unequally_directed_lines(all_1_11_11, all_1_4_4) = all_276_5_582 % 110.11/62.81 | (541) reverse_line(all_1_10_10) = all_276_3_580 % 110.11/62.81 | % 110.11/62.81 | Instantiating (301) with all_278_0_583, all_278_1_584, all_278_2_585, all_278_3_586, all_278_4_587, all_278_5_588 yields: % 110.11/62.81 | (542) reverse_line(all_1_10_10) = all_278_3_586 & unequally_directed_lines(all_1_2_2, all_278_3_586) = all_278_0_583 & unequally_directed_lines(all_1_2_2, all_1_10_10) = all_278_1_584 & unequally_directed_lines(all_1_11_11, all_278_3_586) = all_278_2_585 & unequally_directed_lines(all_1_11_11, all_29_2_50) = all_278_4_587 & unequally_directed_lines(all_1_11_11, all_1_2_2) = all_278_5_588 & ( ~ (all_278_4_587 = 0) | ~ (all_278_5_588 = 0) | all_278_2_585 = 0 | (all_278_0_583 = 0 & all_278_1_584 = 0)) % 110.11/62.81 | % 110.11/62.81 | Applying alpha-rule on (542) yields: % 110.11/62.81 | (543) unequally_directed_lines(all_1_11_11, all_278_3_586) = all_278_2_585 % 110.11/62.81 | (544) unequally_directed_lines(all_1_11_11, all_1_2_2) = all_278_5_588 % 110.11/62.81 | (545) reverse_line(all_1_10_10) = all_278_3_586 % 110.11/62.81 | (546) ~ (all_278_4_587 = 0) | ~ (all_278_5_588 = 0) | all_278_2_585 = 0 | (all_278_0_583 = 0 & all_278_1_584 = 0) % 110.11/62.81 | (547) unequally_directed_lines(all_1_2_2, all_278_3_586) = all_278_0_583 % 110.11/62.81 | (548) unequally_directed_lines(all_1_11_11, all_29_2_50) = all_278_4_587 % 110.11/62.81 | (549) unequally_directed_lines(all_1_2_2, all_1_10_10) = all_278_1_584 % 110.11/62.81 | % 110.11/62.81 | Instantiating (324) with all_280_0_589, all_280_1_590, all_280_2_591, all_280_3_592, all_280_4_593, all_280_5_594 yields: % 110.11/62.81 | (550) reverse_line(all_1_10_10) = all_280_2_591 & reverse_line(all_1_12_12) = all_280_4_593 & unequally_directed_lines(all_1_12_12, all_280_2_591) = all_280_0_589 & unequally_directed_lines(all_1_12_12, all_280_2_591) = all_280_1_590 & unequally_directed_lines(all_1_12_12, all_280_4_593) = all_280_3_592 & unequally_directed_lines(all_1_12_12, all_1_12_12) = all_280_5_594 & ( ~ (all_280_3_592 = 0) | ~ (all_280_5_594 = 0) | all_280_0_589 = 0 | all_280_1_590 = 0) % 110.11/62.81 | % 110.11/62.81 | Applying alpha-rule on (550) yields: % 110.11/62.81 | (551) ~ (all_280_3_592 = 0) | ~ (all_280_5_594 = 0) | all_280_0_589 = 0 | all_280_1_590 = 0 % 110.11/62.81 | (552) unequally_directed_lines(all_1_12_12, all_280_2_591) = all_280_0_589 % 110.11/62.81 | (553) reverse_line(all_1_10_10) = all_280_2_591 % 110.11/62.81 | (554) unequally_directed_lines(all_1_12_12, all_1_12_12) = all_280_5_594 % 110.11/62.81 | (555) unequally_directed_lines(all_1_12_12, all_280_4_593) = all_280_3_592 % 110.11/62.81 | (556) reverse_line(all_1_12_12) = all_280_4_593 % 110.11/62.81 | (557) unequally_directed_lines(all_1_12_12, all_280_2_591) = all_280_1_590 % 110.11/62.81 | % 110.11/62.81 | Instantiating (323) with all_288_0_602, all_288_1_603, all_288_2_604, all_288_3_605, all_288_4_606, all_288_5_607 yields: % 110.11/62.81 | (558) reverse_line(all_1_10_10) = all_288_3_605 & reverse_line(all_1_10_10) = all_288_5_607 & unequally_directed_lines(all_1_10_10, all_288_3_605) = all_288_0_602 & unequally_directed_lines(all_1_10_10, all_1_10_10) = all_288_1_603 & unequally_directed_lines(all_1_12_12, all_288_3_605) = all_288_2_604 & unequally_directed_lines(all_1_12_12, all_288_5_607) = all_288_4_606 & ( ~ (all_288_4_606 = 0) | all_288_2_604 = 0 | (all_288_0_602 = 0 & all_288_1_603 = 0)) % 110.11/62.81 | % 110.11/62.81 | Applying alpha-rule on (558) yields: % 110.11/62.81 | (559) reverse_line(all_1_10_10) = all_288_5_607 % 110.11/62.81 | (560) reverse_line(all_1_10_10) = all_288_3_605 % 110.11/62.81 | (561) unequally_directed_lines(all_1_10_10, all_1_10_10) = all_288_1_603 % 110.11/62.81 | (562) unequally_directed_lines(all_1_12_12, all_288_3_605) = all_288_2_604 % 110.11/62.81 | (563) ~ (all_288_4_606 = 0) | all_288_2_604 = 0 | (all_288_0_602 = 0 & all_288_1_603 = 0) % 110.11/62.81 | (564) unequally_directed_lines(all_1_10_10, all_288_3_605) = all_288_0_602 % 110.11/62.81 | (565) unequally_directed_lines(all_1_12_12, all_288_5_607) = all_288_4_606 % 110.11/62.81 | % 110.11/62.81 | Instantiating (310) with all_298_0_620, all_298_1_621, all_298_2_622, all_298_3_623, all_298_4_624, all_298_5_625 yields: % 110.11/62.81 | (566) reverse_line(all_25_3_40) = all_298_3_623 & reverse_line(all_1_10_10) = all_298_5_625 & unequally_directed_lines(all_1_10_10, all_298_3_623) = all_298_0_620 & unequally_directed_lines(all_1_10_10, all_25_3_40) = all_298_1_621 & unequally_directed_lines(all_1_11_11, all_298_3_623) = all_298_2_622 & unequally_directed_lines(all_1_11_11, all_298_5_625) = all_298_4_624 & ( ~ (all_298_4_624 = 0) | (all_298_0_620 = 0 & all_298_1_621 = 0) | (all_298_2_622 = 0 & all_25_2_39 = 0)) % 110.11/62.81 | % 110.11/62.81 | Applying alpha-rule on (566) yields: % 110.11/62.81 | (567) unequally_directed_lines(all_1_11_11, all_298_3_623) = all_298_2_622 % 110.11/62.81 | (568) unequally_directed_lines(all_1_10_10, all_298_3_623) = all_298_0_620 % 110.11/62.81 | (569) unequally_directed_lines(all_1_10_10, all_25_3_40) = all_298_1_621 % 110.11/62.81 | (570) unequally_directed_lines(all_1_11_11, all_298_5_625) = all_298_4_624 % 110.11/62.81 | (571) reverse_line(all_1_10_10) = all_298_5_625 % 110.11/62.81 | (572) reverse_line(all_25_3_40) = all_298_3_623 % 110.11/62.81 | (573) ~ (all_298_4_624 = 0) | (all_298_0_620 = 0 & all_298_1_621 = 0) | (all_298_2_622 = 0 & all_25_2_39 = 0) % 110.11/62.81 | % 110.11/62.81 | Instantiating (309) with all_300_0_626, all_300_1_627, all_300_2_628, all_300_3_629, all_300_4_630, all_300_5_631 yields: % 110.11/62.81 | (574) reverse_line(all_29_2_50) = all_300_3_629 & reverse_line(all_1_10_10) = all_300_5_631 & unequally_directed_lines(all_1_10_10, all_300_3_629) = all_300_0_626 & unequally_directed_lines(all_1_10_10, all_29_2_50) = all_300_1_627 & unequally_directed_lines(all_1_11_11, all_300_3_629) = all_300_2_628 & unequally_directed_lines(all_1_11_11, all_300_5_631) = all_300_4_630 & ( ~ (all_300_4_630 = 0) | (all_300_0_626 = 0 & all_300_1_627 = 0) | (all_300_2_628 = 0 & all_29_1_49 = 0)) % 110.11/62.81 | % 110.11/62.81 | Applying alpha-rule on (574) yields: % 110.11/62.81 | (575) unequally_directed_lines(all_1_11_11, all_300_3_629) = all_300_2_628 % 110.11/62.81 | (576) reverse_line(all_29_2_50) = all_300_3_629 % 110.11/62.81 | (577) unequally_directed_lines(all_1_10_10, all_300_3_629) = all_300_0_626 % 110.11/62.81 | (578) ~ (all_300_4_630 = 0) | (all_300_0_626 = 0 & all_300_1_627 = 0) | (all_300_2_628 = 0 & all_29_1_49 = 0) % 110.11/62.81 | (579) unequally_directed_lines(all_1_10_10, all_29_2_50) = all_300_1_627 % 110.11/62.81 | (580) reverse_line(all_1_10_10) = all_300_5_631 % 110.11/62.81 | (581) unequally_directed_lines(all_1_11_11, all_300_5_631) = all_300_4_630 % 110.11/62.81 | % 110.11/62.81 | Instantiating formula (79) with all_1_10_10, all_1_11_11 yields: % 110.11/62.81 | (582) ~ (left_convergent_lines(all_1_11_11, all_1_10_10) = 0) % 110.11/62.81 | % 110.11/62.81 | Instantiating formula (94) with all_1_10_10, all_288_3_605, all_300_5_631 and discharging atoms reverse_line(all_1_10_10) = all_300_5_631, reverse_line(all_1_10_10) = all_288_3_605, yields: % 110.11/62.81 | (583) all_300_5_631 = all_288_3_605 % 110.11/62.81 | % 110.11/62.81 | Instantiating formula (94) with all_1_10_10, all_278_3_586, all_298_5_625 and discharging atoms reverse_line(all_1_10_10) = all_298_5_625, reverse_line(all_1_10_10) = all_278_3_586, yields: % 110.11/62.81 | (584) all_298_5_625 = all_278_3_586 % 110.11/62.81 | % 110.11/62.81 | Instantiating formula (94) with all_1_10_10, all_278_3_586, all_288_3_605 and discharging atoms reverse_line(all_1_10_10) = all_288_3_605, reverse_line(all_1_10_10) = all_278_3_586, yields: % 110.11/62.81 | (585) all_288_3_605 = all_278_3_586 % 110.11/62.81 | % 110.11/62.81 | Instantiating formula (94) with all_1_10_10, all_276_3_580, all_280_2_591 and discharging atoms reverse_line(all_1_10_10) = all_280_2_591, reverse_line(all_1_10_10) = all_276_3_580, yields: % 110.11/62.81 | (586) all_280_2_591 = all_276_3_580 % 110.11/62.81 | % 110.11/62.81 | Instantiating formula (94) with all_1_10_10, all_220_3_441, all_244_5_498 and discharging atoms reverse_line(all_1_10_10) = all_244_5_498, reverse_line(all_1_10_10) = all_220_3_441, yields: % 110.11/62.81 | (587) all_244_5_498 = all_220_3_441 % 110.11/62.81 | % 110.11/62.81 | Instantiating formula (94) with all_1_10_10, all_190_5_363, all_220_3_441 and discharging atoms reverse_line(all_1_10_10) = all_220_3_441, reverse_line(all_1_10_10) = all_190_5_363, yields: % 110.11/62.81 | (588) all_220_3_441 = all_190_5_363 % 110.11/62.81 | % 110.11/62.81 | Instantiating formula (94) with all_1_10_10, all_188_5_357, all_298_5_625 and discharging atoms reverse_line(all_1_10_10) = all_298_5_625, reverse_line(all_1_10_10) = all_188_5_357, yields: % 110.11/62.81 | (589) all_298_5_625 = all_188_5_357 % 110.11/62.81 | % 110.11/62.81 | Instantiating formula (94) with all_1_10_10, all_188_5_357, all_190_5_363 and discharging atoms reverse_line(all_1_10_10) = all_190_5_363, reverse_line(all_1_10_10) = all_188_5_357, yields: % 110.11/62.81 | (590) all_190_5_363 = all_188_5_357 % 110.11/62.81 | % 110.11/62.81 | Instantiating formula (94) with all_1_10_10, all_186_4_351, all_244_5_498 and discharging atoms reverse_line(all_1_10_10) = all_244_5_498, reverse_line(all_1_10_10) = all_186_4_351, yields: % 110.11/62.82 | (591) all_244_5_498 = all_186_4_351 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_184_5_346, all_276_3_580 and discharging atoms reverse_line(all_1_10_10) = all_276_3_580, reverse_line(all_1_10_10) = all_184_5_346, yields: % 110.11/62.82 | (592) all_276_3_580 = all_184_5_346 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_182_5_340, all_288_5_607 and discharging atoms reverse_line(all_1_10_10) = all_288_5_607, reverse_line(all_1_10_10) = all_182_5_340, yields: % 110.11/62.82 | (593) all_288_5_607 = all_182_5_340 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_164_3_314, all_276_3_580 and discharging atoms reverse_line(all_1_10_10) = all_276_3_580, reverse_line(all_1_10_10) = all_164_3_314, yields: % 110.11/62.82 | (594) all_276_3_580 = all_164_3_314 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (140) with all_164_3_314, all_1_10_10, all_1_11_11 and discharging atoms reverse_line(all_1_10_10) = all_164_3_314, yields: % 110.11/62.82 | (595) ~ (left_convergent_lines(all_1_11_11, all_164_3_314) = 0) % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_142_3_263, all_164_3_314 and discharging atoms reverse_line(all_1_10_10) = all_164_3_314, reverse_line(all_1_10_10) = all_142_3_263, yields: % 110.11/62.82 | (596) all_164_3_314 = all_142_3_263 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_138_5_253, all_288_5_607 and discharging atoms reverse_line(all_1_10_10) = all_288_5_607, reverse_line(all_1_10_10) = all_138_5_253, yields: % 110.11/62.82 | (597) all_288_5_607 = all_138_5_253 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_134_3_239, all_182_5_340 and discharging atoms reverse_line(all_1_10_10) = all_182_5_340, reverse_line(all_1_10_10) = all_134_3_239, yields: % 110.11/62.82 | (598) all_182_5_340 = all_134_3_239 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_132_3_233, all_142_3_263 and discharging atoms reverse_line(all_1_10_10) = all_142_3_263, reverse_line(all_1_10_10) = all_132_3_233, yields: % 110.11/62.82 | (599) all_142_3_263 = all_132_3_233 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_128_4_223, all_132_3_233 and discharging atoms reverse_line(all_1_10_10) = all_132_3_233, reverse_line(all_1_10_10) = all_128_4_223, yields: % 110.11/62.82 | (600) all_132_3_233 = all_128_4_223 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_124_3_210, all_128_4_223 and discharging atoms reverse_line(all_1_10_10) = all_128_4_223, reverse_line(all_1_10_10) = all_124_3_210, yields: % 110.11/62.82 | (601) all_128_4_223 = all_124_3_210 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_122_3_204, all_278_3_586 and discharging atoms reverse_line(all_1_10_10) = all_278_3_586, reverse_line(all_1_10_10) = all_122_3_204, yields: % 110.11/62.82 | (602) all_278_3_586 = all_122_3_204 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_122_3_204, all_124_3_210 and discharging atoms reverse_line(all_1_10_10) = all_124_3_210, reverse_line(all_1_10_10) = all_122_3_204, yields: % 110.11/62.82 | (603) all_124_3_210 = all_122_3_204 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_120_3_200, all_298_5_625 and discharging atoms reverse_line(all_1_10_10) = all_298_5_625, reverse_line(all_1_10_10) = all_120_3_200, yields: % 110.11/62.82 | (604) all_298_5_625 = all_120_3_200 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_110_2_174, all_300_5_631 and discharging atoms reverse_line(all_1_10_10) = all_300_5_631, reverse_line(all_1_10_10) = all_110_2_174, yields: % 110.11/62.82 | (605) all_300_5_631 = all_110_2_174 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_108_3_169, all_188_5_357 and discharging atoms reverse_line(all_1_10_10) = all_188_5_357, reverse_line(all_1_10_10) = all_108_3_169, yields: % 110.11/62.82 | (606) all_188_5_357 = all_108_3_169 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_108_5_171, all_298_5_625 and discharging atoms reverse_line(all_1_10_10) = all_298_5_625, reverse_line(all_1_10_10) = all_108_5_171, yields: % 110.11/62.82 | (607) all_298_5_625 = all_108_5_171 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_106_5_165, all_138_5_253 and discharging atoms reverse_line(all_1_10_10) = all_138_5_253, reverse_line(all_1_10_10) = all_106_5_165, yields: % 110.11/62.82 | (608) all_138_5_253 = all_106_5_165 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_106_5_165, all_108_5_171 and discharging atoms reverse_line(all_1_10_10) = all_108_5_171, reverse_line(all_1_10_10) = all_106_5_165, yields: % 110.11/62.82 | (609) all_108_5_171 = all_106_5_165 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_102_5_153, all_138_5_253 and discharging atoms reverse_line(all_1_10_10) = all_138_5_253, reverse_line(all_1_10_10) = all_102_5_153, yields: % 110.11/62.82 | (610) all_138_5_253 = all_102_5_153 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_88_0_121, all_288_5_607 and discharging atoms reverse_line(all_1_10_10) = all_288_5_607, reverse_line(all_1_10_10) = all_88_0_121, yields: % 110.11/62.82 | (611) all_288_5_607 = all_88_0_121 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_84_5_119, all_280_2_591 and discharging atoms reverse_line(all_1_10_10) = all_280_2_591, reverse_line(all_1_10_10) = all_84_5_119, yields: % 110.11/62.82 | (612) all_280_2_591 = all_84_5_119 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_82_5_113, all_182_5_340 and discharging atoms reverse_line(all_1_10_10) = all_182_5_340, reverse_line(all_1_10_10) = all_82_5_113, yields: % 110.11/62.82 | (613) all_182_5_340 = all_82_5_113 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_78_2_98, all_288_5_607 and discharging atoms reverse_line(all_1_10_10) = all_288_5_607, reverse_line(all_1_10_10) = all_78_2_98, yields: % 110.11/62.82 | (614) all_288_5_607 = all_78_2_98 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_78_2_98, all_80_2_104 and discharging atoms reverse_line(all_1_10_10) = all_80_2_104, reverse_line(all_1_10_10) = all_78_2_98, yields: % 110.11/62.82 | (615) all_80_2_104 = all_78_2_98 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_76_0_95, all_80_2_104 and discharging atoms reverse_line(all_1_10_10) = all_80_2_104, reverse_line(all_1_10_10) = all_76_0_95, yields: % 110.11/62.82 | (616) all_80_2_104 = all_76_0_95 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (94) with all_1_10_10, all_70_3_81, all_288_5_607 and discharging atoms reverse_line(all_1_10_10) = all_288_5_607, reverse_line(all_1_10_10) = all_70_3_81, yields: % 110.11/62.82 | (617) all_288_5_607 = all_70_3_81 % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (3) with all_1_11_11, all_220_3_441, all_220_2_440, all_276_2_579 and discharging atoms unequally_directed_lines(all_1_11_11, all_220_3_441) = all_220_2_440, yields: % 110.11/62.82 | (618) all_276_2_579 = all_220_2_440 | ~ (unequally_directed_lines(all_1_11_11, all_220_3_441) = all_276_2_579) % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (3) with all_1_11_11, all_220_3_441, all_220_2_440, all_244_4_497 and discharging atoms unequally_directed_lines(all_1_11_11, all_220_3_441) = all_220_2_440, yields: % 110.11/62.82 | (619) all_244_4_497 = all_220_2_440 | ~ (unequally_directed_lines(all_1_11_11, all_220_3_441) = all_244_4_497) % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (3) with all_1_11_11, all_80_2_104, all_80_1_103, all_244_4_497 and discharging atoms unequally_directed_lines(all_1_11_11, all_80_2_104) = all_80_1_103, yields: % 110.11/62.82 | (620) all_244_4_497 = all_80_1_103 | ~ (unequally_directed_lines(all_1_11_11, all_80_2_104) = all_244_4_497) % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (3) with all_1_11_11, all_80_2_104, all_80_1_103, all_164_2_313 and discharging atoms unequally_directed_lines(all_1_11_11, all_80_2_104) = all_80_1_103, yields: % 110.11/62.82 | (621) all_164_2_313 = all_80_1_103 | ~ (unequally_directed_lines(all_1_11_11, all_80_2_104) = all_164_2_313) % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (3) with all_1_11_11, all_78_2_98, all_78_0_96, all_276_2_579 and discharging atoms unequally_directed_lines(all_1_11_11, all_78_2_98) = all_78_0_96, yields: % 110.11/62.82 | (622) all_276_2_579 = all_78_0_96 | ~ (unequally_directed_lines(all_1_11_11, all_78_2_98) = all_276_2_579) % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (3) with all_1_11_11, all_70_3_81, all_70_0_78, 0 and discharging atoms unequally_directed_lines(all_1_11_11, all_70_3_81) = all_70_0_78, yields: % 110.11/62.82 | (623) all_70_0_78 = 0 | ~ (unequally_directed_lines(all_1_11_11, all_70_3_81) = 0) % 110.11/62.82 | % 110.11/62.82 | Instantiating formula (3) with all_1_11_11, all_70_3_81, all_70_0_78, all_80_1_103 and discharging atoms unequally_directed_lines(all_1_11_11, all_70_3_81) = all_70_0_78, yields: % 110.11/62.82 | (624) all_80_1_103 = all_70_0_78 | ~ (unequally_directed_lines(all_1_11_11, all_70_3_81) = all_80_1_103) % 110.11/62.82 | % 110.11/62.82 | Combining equations (583,605) yields a new equation: % 110.11/62.82 | (625) all_288_3_605 = all_110_2_174 % 110.11/62.82 | % 110.11/62.82 | Simplifying 625 yields: % 110.11/62.82 | (626) all_288_3_605 = all_110_2_174 % 110.11/62.82 | % 110.11/62.82 | Combining equations (584,604) yields a new equation: % 110.11/62.82 | (627) all_278_3_586 = all_120_3_200 % 110.11/62.82 | % 110.11/62.82 | Simplifying 627 yields: % 110.11/62.82 | (628) all_278_3_586 = all_120_3_200 % 110.11/62.82 | % 110.11/62.82 | Combining equations (607,604) yields a new equation: % 110.11/62.82 | (629) all_120_3_200 = all_108_5_171 % 110.11/62.82 | % 110.11/62.82 | Combining equations (589,604) yields a new equation: % 110.11/62.82 | (630) all_188_5_357 = all_120_3_200 % 110.11/62.82 | % 110.11/62.82 | Simplifying 630 yields: % 110.11/62.82 | (631) all_188_5_357 = all_120_3_200 % 110.11/62.82 | % 110.11/62.82 | Combining equations (585,626) yields a new equation: % 110.11/62.82 | (632) all_278_3_586 = all_110_2_174 % 110.11/62.82 | % 110.11/62.82 | Simplifying 632 yields: % 110.11/62.82 | (633) all_278_3_586 = all_110_2_174 % 110.11/62.82 | % 110.11/62.82 | Combining equations (614,611) yields a new equation: % 110.11/62.82 | (634) all_88_0_121 = all_78_2_98 % 110.11/62.82 | % 110.11/62.82 | Combining equations (593,611) yields a new equation: % 110.11/62.82 | (635) all_182_5_340 = all_88_0_121 % 110.11/62.82 | % 110.11/62.82 | Simplifying 635 yields: % 110.11/62.82 | (636) all_182_5_340 = all_88_0_121 % 110.11/62.82 | % 110.11/62.82 | Combining equations (617,611) yields a new equation: % 110.11/62.82 | (637) all_88_0_121 = all_70_3_81 % 110.11/62.82 | % 110.11/62.82 | Combining equations (597,611) yields a new equation: % 110.11/62.82 | (638) all_138_5_253 = all_88_0_121 % 110.11/62.82 | % 110.11/62.82 | Simplifying 638 yields: % 110.11/62.82 | (639) all_138_5_253 = all_88_0_121 % 110.11/62.82 | % 110.11/62.82 | Combining equations (586,612) yields a new equation: % 110.11/62.82 | (640) all_276_3_580 = all_84_5_119 % 110.11/62.82 | % 110.11/62.82 | Simplifying 640 yields: % 110.11/62.82 | (641) all_276_3_580 = all_84_5_119 % 110.11/62.82 | % 110.11/62.82 | Combining equations (602,633) yields a new equation: % 110.11/62.82 | (642) all_122_3_204 = all_110_2_174 % 110.11/62.82 | % 110.11/62.82 | Simplifying 642 yields: % 110.11/62.82 | (643) all_122_3_204 = all_110_2_174 % 110.11/62.82 | % 110.11/62.82 | Combining equations (628,633) yields a new equation: % 110.11/62.82 | (644) all_120_3_200 = all_110_2_174 % 110.11/62.82 | % 110.11/62.82 | Simplifying 644 yields: % 110.11/62.82 | (645) all_120_3_200 = all_110_2_174 % 110.11/62.82 | % 110.11/62.82 | Combining equations (594,592) yields a new equation: % 110.11/62.82 | (646) all_184_5_346 = all_164_3_314 % 110.11/62.82 | % 110.11/62.82 | Combining equations (641,592) yields a new equation: % 110.11/62.82 | (647) all_184_5_346 = all_84_5_119 % 110.11/62.82 | % 110.11/62.82 | Combining equations (587,591) yields a new equation: % 110.11/62.82 | (648) all_220_3_441 = all_186_4_351 % 110.11/62.82 | % 110.11/62.82 | Simplifying 648 yields: % 110.11/62.82 | (649) all_220_3_441 = all_186_4_351 % 110.11/62.82 | % 110.11/62.82 | Combining equations (588,649) yields a new equation: % 110.11/62.82 | (650) all_190_5_363 = all_186_4_351 % 110.11/62.82 | % 110.11/62.82 | Simplifying 650 yields: % 110.11/62.82 | (651) all_190_5_363 = all_186_4_351 % 110.11/62.82 | % 110.11/62.82 | Combining equations (590,651) yields a new equation: % 110.11/62.82 | (652) all_188_5_357 = all_186_4_351 % 110.11/62.82 | % 110.11/62.82 | Simplifying 652 yields: % 110.11/62.82 | (653) all_188_5_357 = all_186_4_351 % 110.11/62.82 | % 110.11/62.82 | Combining equations (606,653) yields a new equation: % 110.11/62.83 | (654) all_186_4_351 = all_108_3_169 % 110.11/62.83 | % 110.11/62.83 | Combining equations (631,653) yields a new equation: % 110.11/62.83 | (655) all_186_4_351 = all_120_3_200 % 110.11/62.83 | % 110.11/62.83 | Combining equations (655,654) yields a new equation: % 110.11/62.83 | (656) all_120_3_200 = all_108_3_169 % 110.11/62.83 | % 110.11/62.83 | Simplifying 656 yields: % 110.11/62.83 | (657) all_120_3_200 = all_108_3_169 % 110.11/62.83 | % 110.11/62.83 | Combining equations (646,647) yields a new equation: % 110.11/62.83 | (658) all_164_3_314 = all_84_5_119 % 110.11/62.83 | % 110.11/62.83 | Simplifying 658 yields: % 110.11/62.83 | (659) all_164_3_314 = all_84_5_119 % 110.11/62.83 | % 110.11/62.83 | Combining equations (613,598) yields a new equation: % 110.11/62.83 | (660) all_134_3_239 = all_82_5_113 % 110.11/62.83 | % 110.11/62.83 | Combining equations (636,598) yields a new equation: % 110.11/62.83 | (661) all_134_3_239 = all_88_0_121 % 110.11/62.83 | % 110.11/62.83 | Combining equations (596,659) yields a new equation: % 110.11/62.83 | (662) all_142_3_263 = all_84_5_119 % 110.11/62.83 | % 110.11/62.83 | Simplifying 662 yields: % 110.11/62.83 | (663) all_142_3_263 = all_84_5_119 % 110.11/62.83 | % 110.11/62.83 | Combining equations (599,663) yields a new equation: % 110.11/62.83 | (664) all_132_3_233 = all_84_5_119 % 110.11/62.83 | % 110.11/62.83 | Simplifying 664 yields: % 110.11/62.83 | (665) all_132_3_233 = all_84_5_119 % 110.11/62.83 | % 110.11/62.83 | Combining equations (639,610) yields a new equation: % 110.11/62.83 | (666) all_102_5_153 = all_88_0_121 % 110.11/62.83 | % 110.11/62.83 | Combining equations (608,610) yields a new equation: % 110.11/62.83 | (667) all_106_5_165 = all_102_5_153 % 110.11/62.83 | % 110.11/62.83 | Simplifying 667 yields: % 110.11/62.83 | (668) all_106_5_165 = all_102_5_153 % 110.11/62.83 | % 110.11/62.83 | Combining equations (661,660) yields a new equation: % 110.11/62.83 | (669) all_88_0_121 = all_82_5_113 % 110.11/62.83 | % 110.11/62.83 | Simplifying 669 yields: % 110.11/62.83 | (670) all_88_0_121 = all_82_5_113 % 110.11/62.83 | % 110.11/62.83 | Combining equations (600,665) yields a new equation: % 110.11/62.83 | (671) all_128_4_223 = all_84_5_119 % 110.11/62.83 | % 110.11/62.83 | Simplifying 671 yields: % 110.11/62.83 | (672) all_128_4_223 = all_84_5_119 % 110.11/62.83 | % 110.11/62.83 | Combining equations (601,672) yields a new equation: % 110.11/62.83 | (673) all_124_3_210 = all_84_5_119 % 110.11/62.83 | % 110.11/62.83 | Simplifying 673 yields: % 110.11/62.83 | (674) all_124_3_210 = all_84_5_119 % 110.11/62.83 | % 110.11/62.83 | Combining equations (603,674) yields a new equation: % 110.11/62.83 | (675) all_122_3_204 = all_84_5_119 % 110.11/62.83 | % 110.11/62.83 | Simplifying 675 yields: % 110.11/62.83 | (676) all_122_3_204 = all_84_5_119 % 110.11/62.83 | % 110.11/62.83 | Combining equations (643,676) yields a new equation: % 110.11/62.83 | (677) all_110_2_174 = all_84_5_119 % 110.11/62.83 | % 110.11/62.83 | Simplifying 677 yields: % 110.11/62.83 | (678) all_110_2_174 = all_84_5_119 % 110.11/62.83 | % 110.11/62.83 | Combining equations (629,657) yields a new equation: % 110.11/62.83 | (679) all_108_3_169 = all_108_5_171 % 110.11/62.83 | % 110.11/62.83 | Combining equations (645,657) yields a new equation: % 110.11/62.83 | (680) all_110_2_174 = all_108_3_169 % 110.11/62.83 | % 110.11/62.83 | Simplifying 680 yields: % 110.11/62.83 | (681) all_110_2_174 = all_108_3_169 % 110.11/62.83 | % 110.11/62.83 | Combining equations (681,678) yields a new equation: % 110.11/62.83 | (682) all_108_3_169 = all_84_5_119 % 110.11/62.83 | % 110.11/62.83 | Simplifying 682 yields: % 110.11/62.83 | (683) all_108_3_169 = all_84_5_119 % 110.11/62.83 | % 110.11/62.83 | Combining equations (679,683) yields a new equation: % 110.11/62.83 | (684) all_108_5_171 = all_84_5_119 % 110.11/62.83 | % 110.11/62.83 | Simplifying 684 yields: % 110.11/62.83 | (685) all_108_5_171 = all_84_5_119 % 110.11/62.83 | % 110.11/62.83 | Combining equations (609,685) yields a new equation: % 110.11/62.83 | (686) all_106_5_165 = all_84_5_119 % 110.11/62.83 | % 110.54/62.83 | Simplifying 686 yields: % 110.54/62.83 | (687) all_106_5_165 = all_84_5_119 % 110.54/62.83 | % 110.54/62.83 | Combining equations (668,687) yields a new equation: % 110.54/62.83 | (688) all_102_5_153 = all_84_5_119 % 110.54/62.83 | % 110.54/62.83 | Simplifying 688 yields: % 110.54/62.83 | (689) all_102_5_153 = all_84_5_119 % 110.54/62.83 | % 110.54/62.83 | Combining equations (666,689) yields a new equation: % 110.54/62.83 | (690) all_88_0_121 = all_84_5_119 % 110.54/62.83 | % 110.54/62.83 | Simplifying 690 yields: % 110.54/62.83 | (691) all_88_0_121 = all_84_5_119 % 110.54/62.83 | % 110.54/62.83 | Combining equations (634,691) yields a new equation: % 110.54/62.83 | (692) all_84_5_119 = all_78_2_98 % 110.54/62.83 | % 110.54/62.83 | Combining equations (670,691) yields a new equation: % 110.54/62.83 | (693) all_84_5_119 = all_82_5_113 % 110.54/62.83 | % 110.54/62.83 | Combining equations (637,691) yields a new equation: % 110.54/62.83 | (694) all_84_5_119 = all_70_3_81 % 110.54/62.83 | % 110.54/62.83 | Combining equations (694,693) yields a new equation: % 110.54/62.83 | (695) all_82_5_113 = all_70_3_81 % 110.54/62.83 | % 110.54/62.83 | Combining equations (692,693) yields a new equation: % 110.54/62.83 | (696) all_82_5_113 = all_78_2_98 % 110.54/62.83 | % 110.54/62.83 | Combining equations (696,695) yields a new equation: % 110.54/62.83 | (697) all_78_2_98 = all_70_3_81 % 110.54/62.83 | % 110.54/62.83 | Simplifying 697 yields: % 110.54/62.83 | (698) all_78_2_98 = all_70_3_81 % 110.54/62.83 | % 110.54/62.83 | Combining equations (615,616) yields a new equation: % 110.54/62.83 | (699) all_78_2_98 = all_76_0_95 % 110.54/62.83 | % 110.54/62.83 | Simplifying 699 yields: % 110.54/62.83 | (700) all_78_2_98 = all_76_0_95 % 110.54/62.83 | % 110.54/62.83 | Combining equations (698,700) yields a new equation: % 110.54/62.83 | (701) all_76_0_95 = all_70_3_81 % 110.54/62.83 | % 110.54/62.83 | Combining equations (701,700) yields a new equation: % 110.54/62.83 | (698) all_78_2_98 = all_70_3_81 % 110.54/62.83 | % 110.54/62.83 | Combining equations (701,616) yields a new equation: % 110.54/62.83 | (703) all_80_2_104 = all_70_3_81 % 110.54/62.83 | % 110.54/62.83 | Combining equations (695,693) yields a new equation: % 110.54/62.83 | (694) all_84_5_119 = all_70_3_81 % 110.54/62.83 | % 110.54/62.83 | Combining equations (694,691) yields a new equation: % 110.54/62.83 | (637) all_88_0_121 = all_70_3_81 % 110.54/62.83 | % 110.54/62.83 | Combining equations (694,683) yields a new equation: % 110.54/62.83 | (706) all_108_3_169 = all_70_3_81 % 110.54/62.83 | % 110.54/62.83 | Combining equations (694,659) yields a new equation: % 110.54/62.83 | (707) all_164_3_314 = all_70_3_81 % 110.54/62.83 | % 110.54/62.83 | Combining equations (694,647) yields a new equation: % 110.54/62.83 | (708) all_184_5_346 = all_70_3_81 % 110.54/62.83 | % 110.54/62.83 | Combining equations (706,654) yields a new equation: % 110.54/62.83 | (709) all_186_4_351 = all_70_3_81 % 110.54/62.83 | % 110.54/62.83 | Combining equations (709,649) yields a new equation: % 110.54/62.83 | (710) all_220_3_441 = all_70_3_81 % 110.54/62.83 | % 110.54/62.83 | Combining equations (709,591) yields a new equation: % 110.54/62.83 | (711) all_244_5_498 = all_70_3_81 % 110.54/62.83 | % 110.54/62.83 | Combining equations (708,592) yields a new equation: % 110.54/62.83 | (712) all_276_3_580 = all_70_3_81 % 110.54/62.83 | % 110.54/62.83 | From (707) and (476) follows: % 110.54/62.83 | (713) left_convergent_lines(all_1_11_11, all_70_3_81) = all_164_0_311 % 110.54/62.83 | % 110.54/62.83 | From (712) and (537) follows: % 110.54/62.84 | (714) unequally_directed_lines(all_1_11_11, all_70_3_81) = all_276_2_579 % 110.54/62.84 | % 110.54/62.84 | From (711) and (529) follows: % 110.54/62.84 | (715) unequally_directed_lines(all_1_11_11, all_70_3_81) = all_244_4_497 % 110.54/62.84 | % 110.54/62.84 | From (707) and (477) follows: % 110.54/62.84 | (716) unequally_directed_lines(all_1_11_11, all_70_3_81) = all_164_2_313 % 110.54/62.84 | % 110.54/62.84 | From (637) and (379) follows: % 110.54/62.84 | (717) unequally_directed_lines(all_1_11_11, all_70_3_81) = 0 % 110.54/62.84 | % 110.54/62.84 | From (703) and (357) follows: % 110.54/62.84 | (718) unequally_directed_lines(all_1_11_11, all_70_3_81) = all_80_1_103 % 110.54/62.84 | % 110.54/62.84 | From (707) and (595) follows: % 110.54/62.84 | (719) ~ (left_convergent_lines(all_1_11_11, all_70_3_81) = 0) % 110.54/62.84 | % 110.54/62.84 +-Applying beta-rule and splitting (618), into two cases. % 110.54/62.84 |-Branch one: % 110.54/62.84 | (720) ~ (unequally_directed_lines(all_1_11_11, all_220_3_441) = all_276_2_579) % 110.54/62.84 | % 110.54/62.84 | From (710) and (720) follows: % 110.54/62.84 | (721) ~ (unequally_directed_lines(all_1_11_11, all_70_3_81) = all_276_2_579) % 110.54/62.84 | % 110.54/62.84 | Using (714) and (721) yields: % 110.54/62.84 | (287) $false % 110.54/62.84 | % 110.54/62.84 |-The branch is then unsatisfiable % 110.54/62.84 |-Branch two: % 110.54/62.84 | (723) unequally_directed_lines(all_1_11_11, all_220_3_441) = all_276_2_579 % 110.54/62.84 | (724) all_276_2_579 = all_220_2_440 % 110.54/62.84 | % 110.54/62.84 +-Applying beta-rule and splitting (619), into two cases. % 110.54/62.84 |-Branch one: % 110.54/62.84 | (725) ~ (unequally_directed_lines(all_1_11_11, all_220_3_441) = all_244_4_497) % 110.54/62.84 | % 110.54/62.84 | From (710) and (725) follows: % 110.54/62.84 | (726) ~ (unequally_directed_lines(all_1_11_11, all_70_3_81) = all_244_4_497) % 110.54/62.84 | % 110.54/62.84 | Using (715) and (726) yields: % 110.54/62.84 | (287) $false % 110.54/62.84 | % 110.54/62.84 |-The branch is then unsatisfiable % 110.54/62.84 |-Branch two: % 110.54/62.84 | (728) unequally_directed_lines(all_1_11_11, all_220_3_441) = all_244_4_497 % 110.54/62.84 | (729) all_244_4_497 = all_220_2_440 % 110.54/62.84 | % 110.54/62.84 | From (729) and (715) follows: % 110.54/62.84 | (730) unequally_directed_lines(all_1_11_11, all_70_3_81) = all_220_2_440 % 110.54/62.84 | % 110.54/62.84 +-Applying beta-rule and splitting (622), into two cases. % 110.54/62.84 |-Branch one: % 110.54/62.84 | (731) ~ (unequally_directed_lines(all_1_11_11, all_78_2_98) = all_276_2_579) % 110.54/62.84 | % 110.54/62.84 | From (698)(724) and (731) follows: % 110.54/62.84 | (732) ~ (unequally_directed_lines(all_1_11_11, all_70_3_81) = all_220_2_440) % 110.54/62.84 | % 110.54/62.84 | Using (730) and (732) yields: % 110.54/62.84 | (287) $false % 110.54/62.84 | % 110.54/62.84 |-The branch is then unsatisfiable % 110.54/62.84 |-Branch two: % 110.54/62.84 | (734) unequally_directed_lines(all_1_11_11, all_78_2_98) = all_276_2_579 % 110.54/62.84 | (735) all_276_2_579 = all_78_0_96 % 110.54/62.84 | % 110.54/62.84 | Combining equations (724,735) yields a new equation: % 110.54/62.84 | (736) all_220_2_440 = all_78_0_96 % 110.54/62.84 | % 110.54/62.84 | Simplifying 736 yields: % 110.54/62.84 | (737) all_220_2_440 = all_78_0_96 % 110.54/62.84 | % 110.54/62.84 | Combining equations (737,729) yields a new equation: % 110.54/62.84 | (738) all_244_4_497 = all_78_0_96 % 110.54/62.84 | % 110.54/62.84 | From (737) and (730) follows: % 110.54/62.84 | (739) unequally_directed_lines(all_1_11_11, all_70_3_81) = all_78_0_96 % 110.54/62.84 | % 110.54/62.84 +-Applying beta-rule and splitting (624), into two cases. % 110.54/62.84 |-Branch one: % 110.54/62.84 | (740) ~ (unequally_directed_lines(all_1_11_11, all_70_3_81) = all_80_1_103) % 110.54/62.84 | % 110.54/62.84 | Using (718) and (740) yields: % 110.54/62.84 | (287) $false % 110.54/62.84 | % 110.54/62.84 |-The branch is then unsatisfiable % 110.54/62.84 |-Branch two: % 110.54/62.84 | (718) unequally_directed_lines(all_1_11_11, all_70_3_81) = all_80_1_103 % 110.54/62.84 | (743) all_80_1_103 = all_70_0_78 % 110.54/62.84 | % 110.54/62.84 +-Applying beta-rule and splitting (623), into two cases. % 110.54/62.84 |-Branch one: % 110.54/62.84 | (744) ~ (unequally_directed_lines(all_1_11_11, all_70_3_81) = 0) % 110.54/62.84 | % 110.54/62.84 | Using (717) and (744) yields: % 110.54/62.84 | (287) $false % 110.54/62.84 | % 110.54/62.84 |-The branch is then unsatisfiable % 110.54/62.84 |-Branch two: % 110.54/62.84 | (717) unequally_directed_lines(all_1_11_11, all_70_3_81) = 0 % 110.54/62.84 | (747) all_70_0_78 = 0 % 110.54/62.84 | % 110.54/62.84 | Combining equations (747,743) yields a new equation: % 110.54/62.84 | (748) all_80_1_103 = 0 % 110.54/62.84 | % 110.54/62.84 +-Applying beta-rule and splitting (620), into two cases. % 110.54/62.84 |-Branch one: % 110.54/62.84 | (749) ~ (unequally_directed_lines(all_1_11_11, all_80_2_104) = all_244_4_497) % 110.54/62.84 | % 110.54/62.84 | From (703)(738) and (749) follows: % 110.54/62.84 | (750) ~ (unequally_directed_lines(all_1_11_11, all_70_3_81) = all_78_0_96) % 110.54/62.84 | % 110.54/62.84 | Using (739) and (750) yields: % 110.54/62.84 | (287) $false % 110.54/62.84 | % 110.54/62.84 |-The branch is then unsatisfiable % 110.54/62.84 |-Branch two: % 110.54/62.84 | (752) unequally_directed_lines(all_1_11_11, all_80_2_104) = all_244_4_497 % 110.54/62.84 | (753) all_244_4_497 = all_80_1_103 % 110.54/62.84 | % 110.54/62.84 | Combining equations (753,738) yields a new equation: % 110.54/62.84 | (754) all_80_1_103 = all_78_0_96 % 110.54/62.84 | % 110.54/62.84 | Simplifying 754 yields: % 110.54/62.84 | (755) all_80_1_103 = all_78_0_96 % 110.54/62.84 | % 110.54/62.84 | Combining equations (748,755) yields a new equation: % 110.54/62.84 | (756) all_78_0_96 = 0 % 110.54/62.84 | % 110.54/62.84 | Combining equations (756,755) yields a new equation: % 110.54/62.84 | (748) all_80_1_103 = 0 % 110.54/62.84 | % 110.54/62.84 +-Applying beta-rule and splitting (621), into two cases. % 110.54/62.84 |-Branch one: % 110.54/62.84 | (758) ~ (unequally_directed_lines(all_1_11_11, all_80_2_104) = all_164_2_313) % 110.54/62.84 | % 110.54/62.84 | From (703) and (758) follows: % 110.54/62.84 | (759) ~ (unequally_directed_lines(all_1_11_11, all_70_3_81) = all_164_2_313) % 110.54/62.84 | % 110.54/62.84 | Using (716) and (759) yields: % 110.54/62.84 | (287) $false % 110.54/62.84 | % 110.54/62.84 |-The branch is then unsatisfiable % 110.54/62.84 |-Branch two: % 110.54/62.84 | (761) unequally_directed_lines(all_1_11_11, all_80_2_104) = all_164_2_313 % 110.54/62.84 | (762) all_164_2_313 = all_80_1_103 % 110.54/62.84 | % 110.54/62.84 | Combining equations (748,762) yields a new equation: % 110.54/62.84 | (763) all_164_2_313 = 0 % 110.54/62.84 | % 110.54/62.84 | Using (713) and (719) yields: % 110.54/62.84 | (764) ~ (all_164_0_311 = 0) % 110.54/62.84 | % 110.54/62.84 | Using (478) and (582) yields: % 110.54/62.84 | (765) ~ (all_164_1_312 = 0) % 110.54/62.84 | % 110.54/62.84 +-Applying beta-rule and splitting (475), into two cases. % 110.54/62.84 |-Branch one: % 110.54/62.84 | (766) ~ (all_164_2_313 = 0) % 110.54/62.84 | % 110.54/62.85 | Equations (763) can reduce 766 to: % 110.54/62.85 | (767) $false % 110.54/62.85 | % 110.54/62.85 |-The branch is then unsatisfiable % 110.54/62.85 |-Branch two: % 110.54/62.85 | (763) all_164_2_313 = 0 % 110.54/62.85 | (769) all_164_0_311 = 0 | all_164_1_312 = 0 % 110.54/62.85 | % 110.54/62.85 +-Applying beta-rule and splitting (769), into two cases. % 110.54/62.85 |-Branch one: % 110.54/62.85 | (770) all_164_0_311 = 0 % 110.54/62.85 | % 110.54/62.85 | Equations (770) can reduce 764 to: % 110.54/62.85 | (767) $false % 110.54/62.85 | % 110.54/62.85 |-The branch is then unsatisfiable % 110.54/62.85 |-Branch two: % 110.54/62.85 | (764) ~ (all_164_0_311 = 0) % 110.54/62.85 | (773) all_164_1_312 = 0 % 110.54/62.85 | % 110.54/62.85 | Equations (773) can reduce 765 to: % 110.54/62.85 | (767) $false % 110.54/62.85 | % 110.54/62.85 |-The branch is then unsatisfiable % 110.54/62.85 % SZS output end Proof for theBenchmark % 110.54/62.85 % 110.54/62.85 62299ms %------------------------------------------------------------------------------