%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : GEO231+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Sat Jul 16 03:49:01 EDT 2022 % Result : Theorem 21.23s 5.62s % Output : Proof 84.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GEO231+3 : TPTP v8.1.0. Released v4.0.0. % 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.34 % Computer : n018.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Fri Jun 17 18:52:32 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.58 ____ _ % 0.19/0.58 ___ / __ \_____(_)___ ________ __________ % 0.19/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.19/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.19/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.19/0.58 % 0.19/0.58 A Theorem Prover for First-Order Logic % 0.19/0.59 (ePrincess v.1.0) % 0.19/0.59 % 0.19/0.59 (c) Philipp Rümmer, 2009-2015 % 0.19/0.59 (c) Peter Backeman, 2014-2015 % 0.19/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.19/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.19/0.59 Bug reports to peter@backeman.se % 0.19/0.59 % 0.19/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.19/0.59 % 0.19/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.71/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.78/0.95 Prover 0: Preprocessing ... % 2.56/1.20 Prover 0: Warning: ignoring some quantifiers % 2.68/1.23 Prover 0: Constructing countermodel ... % 3.36/1.40 Prover 0: gave up % 3.36/1.40 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 3.36/1.45 Prover 1: Preprocessing ... % 4.45/1.64 Prover 1: Constructing countermodel ... % 4.77/1.70 Prover 1: gave up % 4.77/1.70 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 4.77/1.74 Prover 2: Preprocessing ... % 6.03/2.04 Prover 2: Warning: ignoring some quantifiers % 6.03/2.06 Prover 2: Constructing countermodel ... % 14.16/3.95 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 14.16/4.00 Prover 3: Preprocessing ... % 14.55/4.05 Prover 3: Warning: ignoring some quantifiers % 14.55/4.06 Prover 3: Constructing countermodel ... % 14.94/4.10 Prover 3: gave up % 14.94/4.10 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete % 14.94/4.13 Prover 4: Preprocessing ... % 15.54/4.30 Prover 4: Warning: ignoring some quantifiers % 15.85/4.31 Prover 4: Constructing countermodel ... % 19.25/5.14 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 19.36/5.18 Prover 5: Preprocessing ... % 20.01/5.33 Prover 5: Constructing countermodel ... % 21.23/5.62 Prover 5: proved (486ms) % 21.23/5.62 Prover 2: stopped % 21.23/5.62 Prover 4: stopped % 21.23/5.62 % 21.23/5.62 No countermodel exists, formula is valid % 21.23/5.62 % SZS status Theorem for theBenchmark % 21.23/5.62 % 21.23/5.62 Generating proof ... found it (size 358) % 82.85/44.03 % 82.85/44.03 % SZS output start Proof for theBenchmark % 82.85/44.03 Assumed formulas after preprocessing and simplification: % 82.85/44.03 | (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] : ( ~ (v3 = 0) & equally_directed_opposite_lines(v1, v2) = v3 & equally_directed_opposite_lines(v0, v1) = 0 & equally_directed_lines(v0, v2) = 0) % 83.55/44.16 | Applying alpha-rule on (0) yields: % 83.55/44.16 | (1) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (left_convergent_lines(v3, v2) = v1) | ~ (left_convergent_lines(v3, v2) = v0)) % 83.55/44.16 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v1, v2) = v3) | ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v0, v2) = 0) % 83.55/44.16 | (3) ! [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)) % 83.55/44.17 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0)) % 83.55/44.17 | (5) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (line(v2) = v1) | ~ (line(v2) = v0)) % 83.55/44.17 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equally_directed_lines(v3, v2) = v1) | ~ (equally_directed_lines(v3, v2) = v0)) % 83.55/44.17 | (7) ! [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))) % 83.55/44.17 | (8) ! [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))) % 83.55/44.17 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unequally_directed_opposite_lines(v3, v2) = v1) | ~ (unequally_directed_opposite_lines(v3, v2) = v0)) % 83.55/44.17 | (10) ! [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))) % 83.55/44.17 | (11) ! [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))) % 83.55/44.17 | (12) ! [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)))) % 83.55/44.17 | (13) ! [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)) % 83.55/44.17 | (14) ! [v0] : ~ (distinct_lines(v0, v0) = 0) % 83.55/44.17 | (15) ! [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)) % 83.55/44.17 | (16) ! [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)) % 83.55/44.17 | (17) ! [v0] : ! [v1] : ~ (left_convergent_lines(v0, v1) = 0) % 83.55/44.17 | (18) ! [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)) % 83.55/44.17 | (19) ! [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))) % 83.55/44.17 | (20) ! [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))) % 83.55/44.17 | (21) ! [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)))))) % 83.55/44.17 | (22) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_opposite_lines(v0, v1) = v2) | equally_directed_opposite_lines(v0, v1) = 0) % 83.55/44.17 | (23) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equally_directed_opposite_lines(v0, v1) = v2) | unequally_directed_opposite_lines(v0, v1) = 0) % 83.55/44.17 | (24) ! [v0] : ( ~ (line(v0) = 0) | ? [v1] : (line(v1) = 0 & reverse_line(v0) = v1)) % 83.55/44.17 | (25) ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | equally_directed_lines(v2, v1) = 0) % 83.55/44.17 | (26) ! [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)))) % 83.55/44.17 | (27) ! [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)))) % 83.55/44.17 | (28) ! [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))) % 83.55/44.17 | (29) ! [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)))) % 83.55/44.17 | (30) ! [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)))))) % 83.55/44.17 | (31) ! [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))) % 83.55/44.18 | (32) ! [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)) % 83.55/44.18 | (33) ! [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))) % 83.55/44.18 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equally_directed_opposite_lines(v3, v2) = v1) | ~ (equally_directed_opposite_lines(v3, v2) = v0)) % 83.55/44.18 | (35) ! [v0] : ! [v1] : ( ~ (unequally_directed_opposite_lines(v0, v1) = 0) | ? [v2] : (reverse_line(v1) = v2 & unequally_directed_lines(v0, v2) = 0)) % 83.55/44.18 | (36) ! [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)) % 83.55/44.18 | (37) ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | (unequally_directed_lines(v0, v1) = 0 & unequally_directed_opposite_lines(v0, v1) = 0)) % 83.55/44.18 | (38) ! [v0] : ! [v1] : ! [v2] : ( ~ (left_apart_point(v0, v2) = 0) | ~ (reverse_line(v1) = v2) | right_apart_point(v0, v1) = 0) % 83.55/44.18 | (39) ! [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))) % 83.55/44.18 | (40) ! [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)))) % 83.55/44.18 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unequally_directed_lines(v0, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | unequally_directed_lines(v1, v2) = 0) % 83.55/44.18 | (42) ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & apart_point_and_line(v0, v2) = v3)) % 83.55/44.18 | (43) ! [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)))) % 83.55/44.18 | (44) ! [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))) % 83.55/44.18 | (45) ! [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))) % 83.55/44.18 | (46) ! [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))) % 83.55/44.18 | (47) ! [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)))) % 83.55/44.18 | (48) ! [v0] : ! [v1] : (v1 = 0 | ~ (equally_directed_lines(v0, v0) = v1)) % 83.55/44.18 | (49) ! [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)))))) % 83.55/44.18 | (50) ! [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))) % 83.55/44.18 | (51) ! [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)) % 83.55/44.18 | (52) ! [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)) % 83.55/44.18 | (53) ! [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))))) % 83.55/44.18 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ (apart_point_and_line(v3, v2) = v0)) % 83.55/44.18 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unequally_directed_lines(v3, v2) = v1) | ~ (unequally_directed_lines(v3, v2) = v0)) % 83.55/44.18 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (left_apart_point(v3, v2) = v1) | ~ (left_apart_point(v3, v2) = v0)) % 83.55/44.18 | (57) ! [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)) % 83.55/44.18 | (58) ! [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)) % 83.55/44.18 | (59) ! [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)) % 83.55/44.18 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = v3) | unequally_directed_lines(v0, v1) = 0) % 83.55/44.18 | (61) ! [v0] : ! [v1] : ! [v2] : ( ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = 0) | unequally_directed_opposite_lines(v0, v1) = 0) % 83.55/44.18 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v1, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | distinct_points(v0, v2) = 0) % 83.55/44.18 | (63) ! [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)))) % 83.55/44.19 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v0, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | distinct_points(v1, v2) = 0) % 83.55/44.19 | (65) ! [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)))) % 83.55/44.19 | (66) ! [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))) % 83.55/44.19 | (67) ! [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))))) % 83.55/44.19 | (68) ! [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))) % 83.55/44.19 | (69) ! [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))) % 83.55/44.19 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_convergent_lines(v0, v2) = v3) | ~ (left_convergent_lines(v0, v1) = 0) | unequally_directed_lines(v1, v2) = 0) % 83.55/44.19 | (71) ! [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)) % 83.55/44.19 | (72) ! [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))) % 83.55/44.19 | (73) ! [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))) % 83.55/44.19 | (74) ! [v0] : ! [v1] : ( ~ (reverse_line(v0) = v1) | ? [v2] : ? [v3] : (line(v1) = v3 & line(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 83.55/44.19 | (75) ! [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))) % 83.55/44.19 | (76) ! [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))) % 83.55/44.19 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) = v0)) % 83.55/44.19 | (78) ! [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)) % 83.55/44.19 | (79) ! [v0] : ! [v1] : ! [v2] : ( ~ (left_convergent_lines(v0, v2) = 0) | ~ (reverse_line(v1) = v2) | right_convergent_lines(v0, v1) = 0) % 83.55/44.19 | (80) ! [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))) % 83.55/44.19 | (81) ! [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)))) % 83.55/44.19 | (82) ! [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))) % 83.55/44.19 | (83) ! [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))) % 83.55/44.19 | (84) ! [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))))) % 83.55/44.19 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0)) % 83.55/44.19 | (86) ! [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)) % 83.55/44.19 | (87) ! [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)))) % 83.55/44.19 | (88) ! [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))) % 83.55/44.19 | (89) ! [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)))) % 83.55/44.19 | (90) ! [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))) % 83.55/44.19 | (91) ! [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))) % 83.55/44.19 | (92) ! [v0] : ! [v1] : ! [v2] : ( ~ (left_apart_point(v0, v2) = 0) | ~ (reverse_line(v1) = v2)) % 83.55/44.19 | (93) ! [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)))) % 83.55/44.20 | (94) ! [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))) % 83.55/44.20 | (95) ! [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))) % 83.55/44.20 | (96) ! [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))) % 83.55/44.20 | (97) ! [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))) % 83.55/44.20 | (98) ! [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))) % 83.55/44.20 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ (convergent_lines(v3, v2) = v0)) % 83.55/44.20 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_apart_point(v1, v2) = v3) | ~ (left_apart_point(v0, v2) = 0) | distinct_points(v0, v1) = 0) % 83.55/44.20 | (101) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (reverse_line(v2) = v1) | ~ (reverse_line(v2) = v0)) % 83.83/44.20 | (102) ! [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)))))) % 83.83/44.20 | (103) ! [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)))) % 83.83/44.20 | (104) ! [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))) % 83.83/44.20 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v0, v2) = v3) | ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v1, v2) = 0) % 83.83/44.20 | (106) ! [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))) % 83.83/44.20 | (107) ! [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)))) % 83.83/44.20 | (108) ! [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))) % 83.83/44.20 | (109) ! [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)))))) % 83.83/44.20 | (110) ! [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)))) % 83.83/44.20 | (111) ! [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)))) % 83.83/44.20 | (112) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_lines(v0, v1) = v2) | ? [v3] : (reverse_line(v1) = v3 & unequally_directed_lines(v0, v3) = 0)) % 83.83/44.20 | (113) ! [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))) % 83.83/44.20 | (114) ! [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))) % 83.83/44.20 | (115) ! [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)))) % 83.83/44.20 | (116) ! [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)))) % 83.83/44.20 | (117) ! [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)))) % 83.83/44.20 | (118) ! [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))) % 83.83/44.20 | (119) ! [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))) % 83.83/44.20 | (120) ! [v0] : ! [v1] : ( ~ (reverse_line(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & distinct_lines(v0, v1) = v2)) % 83.83/44.20 | (121) ! [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)) % 83.83/44.20 | (122) ! [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)))) % 83.83/44.20 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v0, v1) = v3) | ~ (left_apart_point(v0, v2) = 0) | left_apart_point(v1, v2) = 0) % 83.83/44.21 | (124) ! [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))) % 83.83/44.21 | (125) ! [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)))) % 83.83/44.21 | (126) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (incident_point_and_line(v3, v2) = v1) | ~ (incident_point_and_line(v3, v2) = v0)) % 83.83/44.21 | (127) ! [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))) % 83.83/44.21 | (128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0)) % 83.83/44.21 | (129) ! [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))) % 83.83/44.21 | (130) ! [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))) % 83.83/44.21 | (131) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ( ~ (v3 = 0) & equally_directed_opposite_lines(v1, v2) = v3 & equally_directed_opposite_lines(v0, v1) = 0 & equally_directed_lines(v0, v2) = 0) % 83.83/44.21 | (132) ! [v0] : ! [v1] : ( ~ (right_convergent_lines(v0, v1) = 0) | ? [v2] : (left_convergent_lines(v0, v2) = 0 & reverse_line(v1) = v2)) % 83.83/44.21 | (133) ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equally_directed_lines(v0, v1) = v2)) % 83.83/44.21 | (134) ! [v0] : ! [v1] : ( ~ (equally_directed_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & unequally_directed_lines(v0, v1) = v2)) % 83.83/44.21 | (135) ! [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))) % 83.83/44.21 | (136) ! [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))) % 83.83/44.21 | (137) ! [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))) % 83.83/44.21 | (138) ! [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))) % 83.83/44.21 | (139) ! [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))) % 83.83/44.21 | (140) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (divides_points(v4, v3, v2) = v1) | ~ (divides_points(v4, v3, v2) = v0)) % 83.83/44.21 | (141) ! [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))) % 83.83/44.21 | (142) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_lines(v0, v1) = v2) | equally_directed_lines(v0, v1) = 0) % 83.83/44.21 | (143) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equally_directed_lines(v0, v1) = v2) | unequally_directed_lines(v0, v1) = 0) % 83.83/44.21 | (144) ! [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))) % 83.83/44.21 | (145) ! [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)) % 83.83/44.21 | (146) ! [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)))))) % 83.83/44.21 | (147) ! [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))) % 83.83/44.21 | (148) ! [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)) % 83.83/44.21 | (149) ! [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)))) % 83.83/44.21 | (150) ! [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))) % 83.83/44.21 | (151) ! [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)))) % 83.83/44.21 | (152) ! [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))) % 83.83/44.21 | (153) ! [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))) % 83.83/44.21 | (154) ! [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))))) % 83.83/44.21 | (155) ! [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))) % 83.83/44.21 | (156) ! [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))) % 83.83/44.21 | (157) ! [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)))) % 83.83/44.22 | (158) ! [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))) % 83.83/44.22 | (159) ! [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))) % 83.83/44.22 | (160) ! [v0] : ! [v1] : ( ~ (point(v1) = 0) | ~ (line(v0) = 0) | ? [v2] : (parallel_through_point(v0, v1) = v2 & line(v2) = 0)) % 83.83/44.22 | (161) ! [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)) % 83.83/44.22 | (162) ! [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)))))) % 83.83/44.22 | (163) ! [v0] : ! [v1] : ( ~ (unequally_directed_opposite_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equally_directed_opposite_lines(v0, v1) = v2)) % 83.83/44.22 | (164) ! [v0] : ! [v1] : ( ~ (equally_directed_opposite_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & unequally_directed_opposite_lines(v0, v1) = v2)) % 83.83/44.22 | (165) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~ (parallel_through_point(v3, v2) = v0)) % 83.83/44.22 | (166) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unequally_directed_lines(v1, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | unequally_directed_lines(v0, v2) = 0) % 83.83/44.22 | (167) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (between_on_line(v5, v4, v3, v2) = v1) | ~ (between_on_line(v5, v4, v3, v2) = v0)) % 83.83/44.22 | (168) ! [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))) % 83.83/44.22 | (169) ! [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)))) % 83.83/44.22 | (170) ! [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))) % 83.83/44.22 | (171) ! [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)))) % 83.83/44.22 | (172) ! [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))) % 83.83/44.22 | (173) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_convergent_lines(v0, v1) = 0) | ~ (unequally_directed_lines(v1, v2) = v3) | left_convergent_lines(v0, v2) = 0) % 83.83/44.22 | (174) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (right_convergent_lines(v3, v2) = v1) | ~ (right_convergent_lines(v3, v2) = v0)) % 83.83/44.22 | (175) ! [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))))) % 83.83/44.22 | (176) ! [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))))) % 83.83/44.22 | (177) ! [v0] : ~ (distinct_points(v0, v0) = 0) % 83.83/44.22 | (178) ! [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)))))) % 83.83/44.22 | (179) ! [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)))) % 83.83/44.22 | (180) ! [v0] : ! [v1] : ( ~ (right_apart_point(v0, v1) = 0) | ? [v2] : (left_apart_point(v0, v2) = 0 & reverse_line(v1) = v2)) % 83.83/44.22 | (181) ! [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))) % 83.83/44.22 | (182) ! [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))) % 83.83/44.22 | (183) ! [v0] : ! [v1] : ~ (left_apart_point(v0, v1) = 0) % 83.83/44.22 | (184) ! [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))) % 83.83/44.22 | (185) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (point(v2) = v1) | ~ (point(v2) = v0)) % 83.83/44.22 | (186) ! [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)))) % 83.83/44.22 | (187) ! [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))) % 83.83/44.22 | (188) ! [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))) % 83.83/44.22 | (189) ! [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)))) % 83.83/44.22 | (190) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (right_apart_point(v3, v2) = v1) | ~ (right_apart_point(v3, v2) = v0)) % 83.83/44.22 | (191) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (before_on_line(v4, v3, v2) = v1) | ~ (before_on_line(v4, v3, v2) = v0)) % 83.83/44.22 | (192) ! [v0] : ! [v1] : ! [v2] : ( ~ (left_convergent_lines(v0, v2) = 0) | ~ (reverse_line(v1) = v2)) % 83.83/44.22 | (193) ! [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))) % 83.83/44.23 | (194) ! [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))) % 83.83/44.23 | % 83.83/44.23 | Instantiating (131) with all_1_0_0, all_1_1_1, all_1_2_2, all_1_3_3 yields: % 83.83/44.23 | (195) ~ (all_1_0_0 = 0) & equally_directed_opposite_lines(all_1_2_2, all_1_1_1) = all_1_0_0 & equally_directed_opposite_lines(all_1_3_3, all_1_2_2) = 0 & equally_directed_lines(all_1_3_3, all_1_1_1) = 0 % 83.83/44.23 | % 83.83/44.23 | Applying alpha-rule on (195) yields: % 83.83/44.23 | (196) ~ (all_1_0_0 = 0) % 83.83/44.23 | (197) equally_directed_opposite_lines(all_1_2_2, all_1_1_1) = all_1_0_0 % 83.83/44.23 | (198) equally_directed_opposite_lines(all_1_3_3, all_1_2_2) = 0 % 83.83/44.23 | (199) equally_directed_lines(all_1_3_3, all_1_1_1) = 0 % 83.83/44.23 | % 83.83/44.23 | Instantiating formula (23) with all_1_0_0, all_1_1_1, all_1_2_2 and discharging atoms equally_directed_opposite_lines(all_1_2_2, all_1_1_1) = all_1_0_0, yields: % 83.83/44.23 | (200) all_1_0_0 = 0 | unequally_directed_opposite_lines(all_1_2_2, all_1_1_1) = 0 % 83.83/44.23 | % 83.83/44.23 | Instantiating formula (164) with all_1_2_2, all_1_3_3 and discharging atoms equally_directed_opposite_lines(all_1_3_3, all_1_2_2) = 0, yields: % 83.83/44.23 | (201) ? [v0] : ( ~ (v0 = 0) & unequally_directed_opposite_lines(all_1_3_3, all_1_2_2) = v0) % 83.83/44.23 | % 83.83/44.23 | Instantiating formula (134) with all_1_1_1, all_1_3_3 and discharging atoms equally_directed_lines(all_1_3_3, all_1_1_1) = 0, yields: % 83.83/44.23 | (202) ? [v0] : ( ~ (v0 = 0) & unequally_directed_lines(all_1_3_3, all_1_1_1) = v0) % 83.83/44.23 | % 83.83/44.23 | Instantiating (202) with all_8_0_4 yields: % 83.83/44.23 | (203) ~ (all_8_0_4 = 0) & unequally_directed_lines(all_1_3_3, all_1_1_1) = all_8_0_4 % 83.83/44.23 | % 83.83/44.23 | Applying alpha-rule on (203) yields: % 83.83/44.23 | (204) ~ (all_8_0_4 = 0) % 83.83/44.23 | (205) unequally_directed_lines(all_1_3_3, all_1_1_1) = all_8_0_4 % 83.83/44.23 | % 83.83/44.23 | Instantiating (201) with all_10_0_5 yields: % 83.83/44.23 | (206) ~ (all_10_0_5 = 0) & unequally_directed_opposite_lines(all_1_3_3, all_1_2_2) = all_10_0_5 % 83.83/44.23 | % 83.83/44.23 | Applying alpha-rule on (206) yields: % 83.83/44.23 | (207) ~ (all_10_0_5 = 0) % 83.83/44.23 | (208) unequally_directed_opposite_lines(all_1_3_3, all_1_2_2) = all_10_0_5 % 83.83/44.23 | % 83.83/44.23 +-Applying beta-rule and splitting (200), into two cases. % 83.83/44.23 |-Branch one: % 83.83/44.23 | (209) unequally_directed_opposite_lines(all_1_2_2, all_1_1_1) = 0 % 83.83/44.23 | % 83.83/44.23 | Instantiating formula (32) with all_8_0_4, all_8_0_4, all_1_1_1, all_1_3_3, all_1_3_3 and discharging atoms unequally_directed_lines(all_1_3_3, all_1_1_1) = all_8_0_4, yields: % 83.83/44.23 | (210) all_8_0_4 = 0 | ? [v0] : ( ~ (v0 = 0) & unequally_directed_lines(all_1_3_3, all_1_3_3) = v0) % 83.83/44.23 | % 83.83/44.23 | Instantiating formula (171) with all_8_0_4, all_8_0_4, all_1_1_1, all_1_3_3, all_1_3_3 and discharging atoms unequally_directed_lines(all_1_3_3, all_1_1_1) = all_8_0_4, yields: % 83.83/44.23 | (211) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_1_1) = v3 & reverse_line(all_1_3_3) = v1 & unequally_directed_lines(all_1_3_3, v3) = v5 & unequally_directed_lines(all_1_3_3, v3) = v4 & unequally_directed_lines(all_1_3_3, v1) = v2 & unequally_directed_lines(all_1_3_3, all_1_3_3) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v5 = 0 & all_8_0_4 = 0) | (v4 = 0 & all_8_0_4 = 0))) % 83.83/44.23 | % 83.83/44.23 | Instantiating formula (112) with all_8_0_4, all_1_1_1, all_1_3_3 and discharging atoms unequally_directed_lines(all_1_3_3, all_1_1_1) = all_8_0_4, yields: % 83.83/44.23 | (212) all_8_0_4 = 0 | ? [v0] : (reverse_line(all_1_1_1) = v0 & unequally_directed_lines(all_1_3_3, v0) = 0) % 83.83/44.23 | % 83.83/44.23 | Instantiating formula (113) with all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_opposite_lines(all_1_2_2, all_1_1_1) = 0, yields: % 83.83/44.23 | (213) ? [v0] : ? [v1] : (convergent_lines(all_1_2_2, all_1_1_1) = v1 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 83.83/44.23 | % 83.83/44.23 | Instantiating formula (35) with all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_opposite_lines(all_1_2_2, all_1_1_1) = 0, yields: % 83.83/44.23 | (214) ? [v0] : (reverse_line(all_1_1_1) = v0 & unequally_directed_lines(all_1_2_2, v0) = 0) % 83.83/44.23 | % 83.83/44.23 | Instantiating formula (110) with 0, all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_opposite_lines(all_1_2_2, all_1_1_1) = 0, yields: % 83.83/44.23 | (215) ? [v0] : ? [v1] : (convergent_lines(all_1_2_2, all_1_1_1) = v0 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 83.83/44.23 | % 83.83/44.23 | Instantiating formula (16) with all_10_0_5, all_1_2_2, all_1_3_3 and discharging atoms unequally_directed_opposite_lines(all_1_3_3, all_1_2_2) = all_10_0_5, yields: % 83.83/44.23 | (216) all_10_0_5 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & reverse_line(all_1_2_2) = v0 & unequally_directed_lines(all_1_3_3, v0) = v1) % 83.83/44.23 | % 83.83/44.23 | Instantiating formula (110) with all_10_0_5, all_1_2_2, all_1_3_3 and discharging atoms unequally_directed_opposite_lines(all_1_3_3, all_1_2_2) = all_10_0_5, yields: % 83.83/44.23 | (217) ? [v0] : ? [v1] : (convergent_lines(all_1_3_3, all_1_2_2) = v0 & unequally_directed_lines(all_1_3_3, all_1_2_2) = v1 & ( ~ (v0 = 0) | (v1 = 0 & all_10_0_5 = 0))) % 83.83/44.23 | % 83.83/44.23 | Instantiating (217) with all_21_0_6, all_21_1_7 yields: % 83.83/44.23 | (218) convergent_lines(all_1_3_3, all_1_2_2) = all_21_1_7 & unequally_directed_lines(all_1_3_3, all_1_2_2) = all_21_0_6 & ( ~ (all_21_1_7 = 0) | (all_21_0_6 = 0 & all_10_0_5 = 0)) % 83.83/44.23 | % 83.83/44.23 | Applying alpha-rule on (218) yields: % 83.83/44.23 | (219) convergent_lines(all_1_3_3, all_1_2_2) = all_21_1_7 % 83.83/44.23 | (220) unequally_directed_lines(all_1_3_3, all_1_2_2) = all_21_0_6 % 83.83/44.23 | (221) ~ (all_21_1_7 = 0) | (all_21_0_6 = 0 & all_10_0_5 = 0) % 83.83/44.23 | % 83.83/44.23 | Instantiating (215) with all_23_0_8, all_23_1_9 yields: % 83.83/44.23 | (222) convergent_lines(all_1_2_2, all_1_1_1) = all_23_1_9 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_23_0_8 & ( ~ (all_23_1_9 = 0) | all_23_0_8 = 0) % 83.83/44.23 | % 83.83/44.23 | Applying alpha-rule on (222) yields: % 83.83/44.23 | (223) convergent_lines(all_1_2_2, all_1_1_1) = all_23_1_9 % 83.83/44.23 | (224) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_23_0_8 % 83.83/44.23 | (225) ~ (all_23_1_9 = 0) | all_23_0_8 = 0 % 83.83/44.23 | % 83.83/44.23 | Instantiating (211) with all_27_0_12, all_27_1_13, all_27_2_14, all_27_3_15, all_27_4_16, all_27_5_17 yields: % 83.83/44.23 | (226) reverse_line(all_1_1_1) = all_27_2_14 & reverse_line(all_1_3_3) = all_27_4_16 & unequally_directed_lines(all_1_3_3, all_27_2_14) = all_27_0_12 & unequally_directed_lines(all_1_3_3, all_27_2_14) = all_27_1_13 & unequally_directed_lines(all_1_3_3, all_27_4_16) = all_27_3_15 & unequally_directed_lines(all_1_3_3, all_1_3_3) = all_27_5_17 & ( ~ (all_27_3_15 = 0) | ~ (all_27_5_17 = 0) | (all_27_0_12 = 0 & all_8_0_4 = 0) | (all_27_1_13 = 0 & all_8_0_4 = 0)) % 83.83/44.23 | % 83.83/44.23 | Applying alpha-rule on (226) yields: % 83.83/44.23 | (227) unequally_directed_lines(all_1_3_3, all_27_2_14) = all_27_1_13 % 83.83/44.23 | (228) unequally_directed_lines(all_1_3_3, all_27_4_16) = all_27_3_15 % 83.83/44.23 | (229) ~ (all_27_3_15 = 0) | ~ (all_27_5_17 = 0) | (all_27_0_12 = 0 & all_8_0_4 = 0) | (all_27_1_13 = 0 & all_8_0_4 = 0) % 83.83/44.23 | (230) unequally_directed_lines(all_1_3_3, all_27_2_14) = all_27_0_12 % 83.83/44.23 | (231) unequally_directed_lines(all_1_3_3, all_1_3_3) = all_27_5_17 % 83.83/44.23 | (232) reverse_line(all_1_1_1) = all_27_2_14 % 83.83/44.23 | (233) reverse_line(all_1_3_3) = all_27_4_16 % 83.83/44.23 | % 83.83/44.23 | Instantiating (214) with all_29_0_18 yields: % 83.83/44.23 | (234) reverse_line(all_1_1_1) = all_29_0_18 & unequally_directed_lines(all_1_2_2, all_29_0_18) = 0 % 83.83/44.23 | % 83.83/44.23 | Applying alpha-rule on (234) yields: % 83.83/44.23 | (235) reverse_line(all_1_1_1) = all_29_0_18 % 83.83/44.23 | (236) unequally_directed_lines(all_1_2_2, all_29_0_18) = 0 % 83.83/44.23 | % 83.83/44.23 | Instantiating (213) with all_31_0_19, all_31_1_20 yields: % 83.83/44.23 | (237) convergent_lines(all_1_2_2, all_1_1_1) = all_31_0_19 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_31_1_20 & ( ~ (all_31_1_20 = 0) | all_31_0_19 = 0) % 83.83/44.23 | % 83.83/44.23 | Applying alpha-rule on (237) yields: % 83.83/44.23 | (238) convergent_lines(all_1_2_2, all_1_1_1) = all_31_0_19 % 83.83/44.23 | (239) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_31_1_20 % 83.83/44.23 | (240) ~ (all_31_1_20 = 0) | all_31_0_19 = 0 % 83.83/44.23 | % 83.83/44.23 +-Applying beta-rule and splitting (210), into two cases. % 83.83/44.23 |-Branch one: % 83.83/44.23 | (241) all_8_0_4 = 0 % 83.83/44.23 | % 83.83/44.23 | Equations (241) can reduce 204 to: % 83.83/44.23 | (242) $false % 83.83/44.23 | % 83.83/44.24 |-The branch is then unsatisfiable % 83.83/44.24 |-Branch two: % 83.83/44.24 | (204) ~ (all_8_0_4 = 0) % 83.83/44.24 | (244) ? [v0] : ( ~ (v0 = 0) & unequally_directed_lines(all_1_3_3, all_1_3_3) = v0) % 83.83/44.24 | % 83.83/44.24 | Instantiating (244) with all_37_0_21 yields: % 83.83/44.24 | (245) ~ (all_37_0_21 = 0) & unequally_directed_lines(all_1_3_3, all_1_3_3) = all_37_0_21 % 83.83/44.24 | % 83.83/44.24 | Applying alpha-rule on (245) yields: % 83.83/44.24 | (246) ~ (all_37_0_21 = 0) % 83.83/44.24 | (247) unequally_directed_lines(all_1_3_3, all_1_3_3) = all_37_0_21 % 83.83/44.24 | % 83.83/44.24 +-Applying beta-rule and splitting (212), into two cases. % 83.83/44.24 |-Branch one: % 83.83/44.24 | (241) all_8_0_4 = 0 % 83.83/44.24 | % 83.83/44.24 | Equations (241) can reduce 204 to: % 83.83/44.24 | (242) $false % 83.83/44.24 | % 83.83/44.24 |-The branch is then unsatisfiable % 83.83/44.24 |-Branch two: % 83.83/44.24 | (204) ~ (all_8_0_4 = 0) % 83.83/44.24 | (251) ? [v0] : (reverse_line(all_1_1_1) = v0 & unequally_directed_lines(all_1_3_3, v0) = 0) % 83.83/44.24 | % 83.83/44.24 | Instantiating (251) with all_43_0_22 yields: % 83.83/44.24 | (252) reverse_line(all_1_1_1) = all_43_0_22 & unequally_directed_lines(all_1_3_3, all_43_0_22) = 0 % 83.83/44.24 | % 83.83/44.24 | Applying alpha-rule on (252) yields: % 83.83/44.24 | (253) reverse_line(all_1_1_1) = all_43_0_22 % 83.83/44.24 | (254) unequally_directed_lines(all_1_3_3, all_43_0_22) = 0 % 83.83/44.24 | % 83.83/44.24 +-Applying beta-rule and splitting (216), into two cases. % 83.83/44.24 |-Branch one: % 83.83/44.24 | (255) all_10_0_5 = 0 % 83.83/44.24 | % 83.83/44.24 | Equations (255) can reduce 207 to: % 83.83/44.24 | (242) $false % 83.83/44.24 | % 83.83/44.24 |-The branch is then unsatisfiable % 83.83/44.24 |-Branch two: % 83.83/44.24 | (207) ~ (all_10_0_5 = 0) % 83.83/44.24 | (258) ? [v0] : ? [v1] : ( ~ (v1 = 0) & reverse_line(all_1_2_2) = v0 & unequally_directed_lines(all_1_3_3, v0) = v1) % 83.83/44.24 | % 83.83/44.24 | Instantiating (258) with all_48_0_23, all_48_1_24 yields: % 83.83/44.24 | (259) ~ (all_48_0_23 = 0) & reverse_line(all_1_2_2) = all_48_1_24 & unequally_directed_lines(all_1_3_3, all_48_1_24) = all_48_0_23 % 83.83/44.24 | % 83.83/44.24 | Applying alpha-rule on (259) yields: % 83.83/44.24 | (260) ~ (all_48_0_23 = 0) % 83.83/44.24 | (261) reverse_line(all_1_2_2) = all_48_1_24 % 83.83/44.24 | (262) unequally_directed_lines(all_1_3_3, all_48_1_24) = all_48_0_23 % 83.83/44.24 | % 83.83/44.24 | Instantiating formula (101) with all_1_1_1, all_29_0_18, all_43_0_22 and discharging atoms reverse_line(all_1_1_1) = all_43_0_22, reverse_line(all_1_1_1) = all_29_0_18, yields: % 83.83/44.24 | (263) all_43_0_22 = all_29_0_18 % 83.83/44.24 | % 83.83/44.24 | Instantiating formula (101) with all_1_1_1, all_27_2_14, all_43_0_22 and discharging atoms reverse_line(all_1_1_1) = all_43_0_22, reverse_line(all_1_1_1) = all_27_2_14, yields: % 83.83/44.24 | (264) all_43_0_22 = all_27_2_14 % 83.83/44.24 | % 83.83/44.24 | Instantiating formula (55) with all_1_2_2, all_1_1_1, all_23_0_8, all_31_1_20 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_31_1_20, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_23_0_8, yields: % 83.83/44.24 | (265) all_31_1_20 = all_23_0_8 % 83.83/44.24 | % 83.83/44.24 | Instantiating formula (55) with all_1_3_3, all_1_1_1, 0, all_8_0_4 and discharging atoms unequally_directed_lines(all_1_3_3, all_1_1_1) = all_8_0_4, yields: % 83.83/44.24 | (266) all_8_0_4 = 0 | ~ (unequally_directed_lines(all_1_3_3, all_1_1_1) = 0) % 83.83/44.24 | % 83.83/44.24 | Instantiating formula (55) with all_1_3_3, all_27_2_14, all_27_1_13, 0 and discharging atoms unequally_directed_lines(all_1_3_3, all_27_2_14) = all_27_1_13, yields: % 83.83/44.24 | (267) all_27_1_13 = 0 | ~ (unequally_directed_lines(all_1_3_3, all_27_2_14) = 0) % 83.83/44.24 | % 83.83/44.24 | Instantiating formula (55) with all_1_3_3, all_27_2_14, all_27_1_13, all_27_0_12 and discharging atoms unequally_directed_lines(all_1_3_3, all_27_2_14) = all_27_0_12, unequally_directed_lines(all_1_3_3, all_27_2_14) = all_27_1_13, yields: % 83.83/44.24 | (268) all_27_0_12 = all_27_1_13 % 83.83/44.24 | % 83.83/44.24 | Instantiating formula (55) with all_1_3_3, all_1_2_2, all_21_0_6, all_27_3_15 and discharging atoms unequally_directed_lines(all_1_3_3, all_1_2_2) = all_21_0_6, yields: % 83.83/44.24 | (269) all_27_3_15 = all_21_0_6 | ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = all_27_3_15) % 83.83/44.24 | % 83.83/44.24 | Instantiating formula (55) with all_1_3_3, all_1_3_3, all_27_5_17, all_27_0_12 and discharging atoms unequally_directed_lines(all_1_3_3, all_1_3_3) = all_27_5_17, yields: % 83.83/44.24 | (270) all_27_0_12 = all_27_5_17 | ~ (unequally_directed_lines(all_1_3_3, all_1_3_3) = all_27_0_12) % 83.83/44.24 | % 83.83/44.24 | Instantiating formula (55) with all_1_3_3, all_1_3_3, all_27_5_17, all_37_0_21 and discharging atoms unequally_directed_lines(all_1_3_3, all_1_3_3) = all_37_0_21, unequally_directed_lines(all_1_3_3, all_1_3_3) = all_27_5_17, yields: % 83.83/44.24 | (271) all_37_0_21 = all_27_5_17 % 83.83/44.24 | % 83.83/44.24 | Combining equations (263,264) yields a new equation: % 83.83/44.24 | (272) all_29_0_18 = all_27_2_14 % 83.83/44.24 | % 83.83/44.24 | Simplifying 272 yields: % 83.83/44.24 | (273) all_29_0_18 = all_27_2_14 % 83.83/44.24 | % 83.83/44.24 | Equations (271) can reduce 246 to: % 83.83/44.24 | (274) ~ (all_27_5_17 = 0) % 83.83/44.24 | % 83.83/44.24 | From (273) and (235) follows: % 83.83/44.24 | (232) reverse_line(all_1_1_1) = all_27_2_14 % 83.83/44.24 | % 83.83/44.24 | From (273) and (236) follows: % 83.83/44.24 | (276) unequally_directed_lines(all_1_2_2, all_27_2_14) = 0 % 83.83/44.24 | % 83.83/44.24 | From (265) and (239) follows: % 83.83/44.24 | (224) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_23_0_8 % 83.83/44.24 | % 83.83/44.24 | From (264) and (254) follows: % 83.83/44.24 | (278) unequally_directed_lines(all_1_3_3, all_27_2_14) = 0 % 83.83/44.24 | % 83.83/44.24 | From (268) and (230) follows: % 83.83/44.24 | (227) unequally_directed_lines(all_1_3_3, all_27_2_14) = all_27_1_13 % 83.83/44.24 | % 83.83/44.24 | From (271) and (247) follows: % 83.83/44.24 | (231) unequally_directed_lines(all_1_3_3, all_1_3_3) = all_27_5_17 % 83.83/44.24 | % 83.83/44.24 +-Applying beta-rule and splitting (267), into two cases. % 83.83/44.24 |-Branch one: % 83.83/44.24 | (281) ~ (unequally_directed_lines(all_1_3_3, all_27_2_14) = 0) % 83.83/44.24 | % 83.83/44.24 | Using (278) and (281) yields: % 83.83/44.24 | (282) $false % 83.83/44.24 | % 83.83/44.24 |-The branch is then unsatisfiable % 83.83/44.24 |-Branch two: % 83.83/44.24 | (278) unequally_directed_lines(all_1_3_3, all_27_2_14) = 0 % 83.83/44.24 | (284) all_27_1_13 = 0 % 83.83/44.24 | % 83.83/44.24 | Combining equations (284,268) yields a new equation: % 83.83/44.24 | (285) all_27_0_12 = 0 % 83.83/44.24 | % 83.83/44.24 | From (284) and (227) follows: % 83.83/44.24 | (278) unequally_directed_lines(all_1_3_3, all_27_2_14) = 0 % 83.83/44.24 | % 83.83/44.24 | Instantiating formula (171) with all_8_0_4, 0, all_1_1_1, all_1_3_3, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_3_3, all_1_1_1) = all_8_0_4, yields: % 83.83/44.24 | (287) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_1_1) = v3 & reverse_line(all_1_3_3) = v1 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_3_3) = v0 & unequally_directed_lines(all_1_3_3, v3) = v5 & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0 | (v5 = 0 & all_8_0_4 = 0))) % 83.83/44.24 | % 83.83/44.24 | Instantiating formula (129) with all_27_2_14, all_1_1_1, all_1_2_2 and discharging atoms reverse_line(all_1_1_1) = all_27_2_14, unequally_directed_lines(all_1_2_2, all_27_2_14) = 0, yields: % 83.83/44.24 | (288) ? [v0] : ? [v1] : ? [v2] : (left_convergent_lines(all_1_2_2, all_27_2_14) = v2 & left_convergent_lines(all_1_2_2, all_1_1_1) = v1 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 = 0)) % 83.83/44.24 | % 83.83/44.24 | Instantiating formula (166) with all_8_0_4, all_1_1_1, all_1_3_3, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_3_3, all_1_1_1) = all_8_0_4, yields: % 83.83/44.24 | (289) all_8_0_4 = 0 | ~ (unequally_directed_lines(all_1_2_2, all_1_3_3) = 0) | unequally_directed_lines(all_1_2_2, all_1_1_1) = 0 % 83.83/44.24 | % 83.83/44.24 | Instantiating formula (169) with all_8_0_4, all_1_1_1, all_1_3_3, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_3_3, all_1_1_1) = all_8_0_4, yields: % 83.83/44.24 | (290) ~ (unequally_directed_lines(all_1_2_2, all_1_3_3) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_1_1) = v3 & reverse_line(all_1_3_3) = v0 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v2 & unequally_directed_lines(all_1_3_3, v3) = v5 & ( ~ (v1 = 0) | (v5 = 0 & all_8_0_4 = 0) | (v4 = 0 & v2 = 0))) % 83.83/44.24 | % 83.83/44.24 | Instantiating formula (137) with all_27_2_14, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_27_2_14) = 0, yields: % 83.83/44.25 | (291) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (left_convergent_lines(all_1_2_2, v0) = v3 & left_convergent_lines(all_1_2_2, all_27_2_14) = v2 & reverse_line(all_27_2_14) = v0 & unequally_directed_lines(all_1_2_2, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | v2 = 0)) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (171) with all_23_0_8, 0, all_1_1_1, all_1_2_2, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_23_0_8, yields: % 83.83/44.25 | (292) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_1_1) = v3 & reverse_line(all_1_2_2) = v1 & unequally_directed_lines(all_1_2_2, v3) = v5 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0 | (v5 = 0 & all_23_0_8 = 0))) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (171) with 0, all_23_0_8, all_1_1_1, all_1_2_2, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_23_0_8, yields: % 83.83/44.25 | (293) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_1_1) = v3 & reverse_line(all_1_2_2) = v1 & unequally_directed_lines(all_1_2_2, v3) = v5 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | v5 = 0 | (v4 = 0 & all_23_0_8 = 0))) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (89) with 0, all_1_1_1, all_1_1_1, all_1_2_2 yields: % 83.83/44.25 | (294) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_1_1) = v2 & reverse_line(all_1_1_1) = v0 & unequally_directed_lines(all_1_1_1, v2) = v5 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0))) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (117) with all_48_1_24, all_1_2_2, all_1_1_1, all_1_2_2 and discharging atoms reverse_line(all_1_2_2) = all_48_1_24, yields: % 83.83/44.25 | (295) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_1_1) = v0 & unequally_directed_lines(all_1_1_1, all_48_1_24) = v5 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_48_1_24) = v3 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0))) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (117) with all_27_4_16, all_1_3_3, all_1_1_1, all_1_2_2 and discharging atoms reverse_line(all_1_3_3) = all_27_4_16, yields: % 83.83/44.25 | (296) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_1_1) = v0 & unequally_directed_lines(all_1_1_1, all_27_4_16) = v5 & unequally_directed_lines(all_1_1_1, all_1_3_3) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_27_4_16) = v3 & unequally_directed_lines(all_1_2_2, all_1_3_3) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0))) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (89) with 0, all_27_2_14, all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_27_2_14) = 0, yields: % 83.83/44.25 | (297) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_27_2_14) = v2 & reverse_line(all_1_1_1) = v0 & unequally_directed_lines(all_1_1_1, v2) = v5 & unequally_directed_lines(all_1_1_1, all_27_2_14) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0))) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (97) with all_1_1_1, all_1_2_2 yields: % 83.83/44.25 | (298) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (intersection_point(all_1_2_2, all_1_1_1) = v4 & point(v4) = v5 & line(all_1_1_1) = v1 & line(all_1_2_2) = v0 & reverse_line(all_1_1_1) = v2 & unequally_directed_lines(all_1_2_2, v2) = v3 & ( ~ (v3 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (84) with all_1_1_1, all_1_2_2 yields: % 83.83/44.25 | (299) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection_point(all_1_2_2, all_1_1_1) = v2 & apart_point_and_line(v2, all_1_1_1) = v4 & apart_point_and_line(v2, all_1_2_2) = v3 & reverse_line(all_1_1_1) = v0 & unequally_directed_lines(all_1_2_2, v0) = v1 & ( ~ (v1 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0)))) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (137) with all_1_1_1, all_1_2_2 yields: % 83.83/44.25 | (300) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (left_convergent_lines(all_1_2_2, v0) = v3 & left_convergent_lines(all_1_2_2, all_1_1_1) = v2 & reverse_line(all_1_1_1) = v0 & unequally_directed_lines(all_1_2_2, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | v2 = 0)) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (133) with all_1_1_1, all_1_2_2 yields: % 83.83/44.25 | (301) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ( ~ (v0 = 0) & equally_directed_lines(all_1_2_2, all_1_1_1) = v0) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (60) with all_48_0_23, all_48_1_24, all_1_2_2, all_1_3_3 and discharging atoms reverse_line(all_1_2_2) = all_48_1_24, unequally_directed_lines(all_1_3_3, all_48_1_24) = all_48_0_23, yields: % 83.83/44.25 | (302) all_48_0_23 = 0 | unequally_directed_lines(all_1_3_3, all_1_2_2) = 0 % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (169) with all_48_0_23, all_48_1_24, all_1_3_3, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_3_3, all_48_1_24) = all_48_0_23, yields: % 83.83/44.25 | (303) ~ (unequally_directed_lines(all_1_2_2, all_1_3_3) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_48_1_24) = v3 & reverse_line(all_1_3_3) = v0 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_48_1_24) = v2 & unequally_directed_lines(all_1_3_3, v3) = v5 & ( ~ (v1 = 0) | (v5 = 0 & all_48_0_23 = 0) | (v4 = 0 & v2 = 0))) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (166) with all_23_0_8, all_1_1_1, all_1_2_2, all_1_3_3 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_23_0_8, yields: % 83.83/44.25 | (304) all_23_0_8 = 0 | ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) | unequally_directed_lines(all_1_3_3, all_1_1_1) = 0 % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (169) with all_23_0_8, all_1_1_1, all_1_2_2, all_1_3_3 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_23_0_8, yields: % 83.83/44.25 | (305) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_1_1) = v3 & reverse_line(all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v3) = v5 & unequally_directed_lines(all_1_3_3, v3) = v4 & unequally_directed_lines(all_1_3_3, v0) = v1 & unequally_directed_lines(all_1_3_3, all_1_1_1) = v2 & ( ~ (v1 = 0) | (v5 = 0 & all_23_0_8 = 0) | (v4 = 0 & v2 = 0))) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (60) with all_27_3_15, all_27_4_16, all_1_3_3, all_1_3_3 and discharging atoms reverse_line(all_1_3_3) = all_27_4_16, unequally_directed_lines(all_1_3_3, all_27_4_16) = all_27_3_15, yields: % 83.83/44.25 | (306) all_27_3_15 = 0 | unequally_directed_lines(all_1_3_3, all_1_3_3) = 0 % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (169) with all_27_3_15, all_27_4_16, all_1_3_3, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_3_3, all_27_4_16) = all_27_3_15, yields: % 83.83/44.25 | (307) ~ (unequally_directed_lines(all_1_2_2, all_1_3_3) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_27_4_16) = v3 & reverse_line(all_1_3_3) = v0 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_27_4_16) = v2 & unequally_directed_lines(all_1_3_3, v3) = v5 & ( ~ (v1 = 0) | (v5 = 0 & all_27_3_15 = 0) | (v4 = 0 & v2 = 0))) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (89) with 0, all_27_4_16, all_27_4_16, all_1_3_3 yields: % 83.83/44.25 | (308) ~ (unequally_directed_lines(all_1_3_3, all_27_4_16) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_27_4_16) = v2 & reverse_line(all_27_4_16) = v0 & unequally_directed_lines(all_27_4_16, v2) = v5 & unequally_directed_lines(all_27_4_16, all_27_4_16) = v4 & unequally_directed_lines(all_1_3_3, v2) = v3 & unequally_directed_lines(all_1_3_3, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0))) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (117) with all_27_2_14, all_1_1_1, all_27_4_16, all_1_3_3 and discharging atoms reverse_line(all_1_1_1) = all_27_2_14, yields: % 83.83/44.25 | (309) ~ (unequally_directed_lines(all_1_3_3, all_27_4_16) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_27_4_16) = v0 & unequally_directed_lines(all_27_4_16, all_27_2_14) = v5 & unequally_directed_lines(all_27_4_16, all_1_1_1) = v4 & unequally_directed_lines(all_1_3_3, v0) = v1 & unequally_directed_lines(all_1_3_3, all_27_2_14) = v3 & unequally_directed_lines(all_1_3_3, all_1_1_1) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0))) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (117) with all_27_4_16, all_1_3_3, all_27_4_16, all_1_3_3 and discharging atoms reverse_line(all_1_3_3) = all_27_4_16, yields: % 83.83/44.25 | (310) ~ (unequally_directed_lines(all_1_3_3, all_27_4_16) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_27_4_16) = v0 & unequally_directed_lines(all_27_4_16, all_27_4_16) = v5 & unequally_directed_lines(all_27_4_16, all_1_3_3) = v4 & unequally_directed_lines(all_1_3_3, v0) = v1 & unequally_directed_lines(all_1_3_3, all_27_4_16) = v3 & unequally_directed_lines(all_1_3_3, all_1_3_3) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0))) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (41) with all_8_0_4, all_1_1_1, all_27_4_16, all_1_3_3 and discharging atoms unequally_directed_lines(all_1_3_3, all_1_1_1) = all_8_0_4, yields: % 83.83/44.25 | (311) all_8_0_4 = 0 | ~ (unequally_directed_lines(all_1_3_3, all_27_4_16) = 0) | unequally_directed_lines(all_27_4_16, all_1_1_1) = 0 % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (89) with all_8_0_4, all_1_1_1, all_27_4_16, all_1_3_3 and discharging atoms unequally_directed_lines(all_1_3_3, all_1_1_1) = all_8_0_4, yields: % 83.83/44.25 | (312) ~ (unequally_directed_lines(all_1_3_3, all_27_4_16) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_27_4_16) = v0 & reverse_line(all_1_1_1) = v2 & unequally_directed_lines(all_27_4_16, v2) = v5 & unequally_directed_lines(all_27_4_16, all_1_1_1) = v4 & unequally_directed_lines(all_1_3_3, v2) = v3 & unequally_directed_lines(all_1_3_3, v0) = v1 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_8_0_4 = 0))) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (41) with all_48_0_23, all_48_1_24, all_27_4_16, all_1_3_3 and discharging atoms unequally_directed_lines(all_1_3_3, all_48_1_24) = all_48_0_23, yields: % 83.83/44.25 | (313) all_48_0_23 = 0 | ~ (unequally_directed_lines(all_1_3_3, all_27_4_16) = 0) | unequally_directed_lines(all_27_4_16, all_48_1_24) = 0 % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (89) with all_48_0_23, all_48_1_24, all_27_4_16, all_1_3_3 and discharging atoms unequally_directed_lines(all_1_3_3, all_48_1_24) = all_48_0_23, yields: % 83.83/44.25 | (314) ~ (unequally_directed_lines(all_1_3_3, all_27_4_16) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_48_1_24) = v2 & reverse_line(all_27_4_16) = v0 & unequally_directed_lines(all_27_4_16, v2) = v5 & unequally_directed_lines(all_27_4_16, all_48_1_24) = v4 & unequally_directed_lines(all_1_3_3, v2) = v3 & unequally_directed_lines(all_1_3_3, v0) = v1 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_48_0_23 = 0))) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (89) with 0, all_27_2_14, all_27_4_16, all_1_3_3 and discharging atoms unequally_directed_lines(all_1_3_3, all_27_2_14) = 0, yields: % 83.83/44.25 | (315) ~ (unequally_directed_lines(all_1_3_3, all_27_4_16) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_27_2_14) = v2 & reverse_line(all_27_4_16) = v0 & unequally_directed_lines(all_27_4_16, v2) = v5 & unequally_directed_lines(all_27_4_16, all_27_2_14) = v4 & unequally_directed_lines(all_1_3_3, v2) = v3 & unequally_directed_lines(all_1_3_3, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0))) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (89) with 0, all_1_2_2, all_1_2_2, all_1_3_3 yields: % 83.83/44.25 | (316) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_2_2) = v2 & reverse_line(all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v4 & unequally_directed_lines(all_1_3_3, v2) = v3 & unequally_directed_lines(all_1_3_3, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0))) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (41) with all_8_0_4, all_1_1_1, all_1_2_2, all_1_3_3 and discharging atoms unequally_directed_lines(all_1_3_3, all_1_1_1) = all_8_0_4, yields: % 83.83/44.25 | (317) all_8_0_4 = 0 | ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) | unequally_directed_lines(all_1_2_2, all_1_1_1) = 0 % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (169) with 0, all_27_2_14, all_1_2_2, all_1_3_3 and discharging atoms unequally_directed_lines(all_1_2_2, all_27_2_14) = 0, yields: % 83.83/44.25 | (318) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_27_2_14) = v3 & reverse_line(all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v3) = v5 & unequally_directed_lines(all_1_3_3, v3) = v4 & unequally_directed_lines(all_1_3_3, v0) = v1 & unequally_directed_lines(all_1_3_3, all_27_2_14) = v2 & ( ~ (v1 = 0) | v5 = 0 | (v4 = 0 & v2 = 0))) % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (41) with all_48_0_23, all_48_1_24, all_1_2_2, all_1_3_3 and discharging atoms unequally_directed_lines(all_1_3_3, all_48_1_24) = all_48_0_23, yields: % 83.83/44.25 | (319) all_48_0_23 = 0 | ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) | unequally_directed_lines(all_1_2_2, all_48_1_24) = 0 % 83.83/44.25 | % 83.83/44.25 | Instantiating formula (89) with all_48_0_23, all_48_1_24, all_1_2_2, all_1_3_3 and discharging atoms unequally_directed_lines(all_1_3_3, all_48_1_24) = all_48_0_23, yields: % 83.83/44.25 | (320) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_48_1_24) = v2 & reverse_line(all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_48_1_24) = v4 & unequally_directed_lines(all_1_3_3, v2) = v3 & unequally_directed_lines(all_1_3_3, v0) = v1 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_48_0_23 = 0))) % 83.83/44.26 | % 83.83/44.26 | Instantiating formula (89) with all_27_3_15, all_27_4_16, all_1_2_2, all_1_3_3 and discharging atoms unequally_directed_lines(all_1_3_3, all_27_4_16) = all_27_3_15, yields: % 83.83/44.26 | (321) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_27_4_16) = v2 & reverse_line(all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_27_4_16) = v4 & unequally_directed_lines(all_1_3_3, v2) = v3 & unequally_directed_lines(all_1_3_3, v0) = v1 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_27_3_15 = 0))) % 83.83/44.26 | % 83.83/44.26 | Instantiating formula (97) with all_1_2_2, all_1_3_3 yields: % 83.83/44.26 | (322) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (intersection_point(all_1_3_3, all_1_2_2) = v4 & point(v4) = v5 & line(all_1_2_2) = v1 & line(all_1_3_3) = v0 & reverse_line(all_1_2_2) = v2 & unequally_directed_lines(all_1_3_3, v2) = v3 & ( ~ (v3 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 83.83/44.26 | % 83.83/44.26 | Instantiating formula (84) with all_1_2_2, all_1_3_3 yields: % 83.83/44.26 | (323) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection_point(all_1_3_3, all_1_2_2) = v2 & apart_point_and_line(v2, all_1_2_2) = v4 & apart_point_and_line(v2, all_1_3_3) = v3 & reverse_line(all_1_2_2) = v0 & unequally_directed_lines(all_1_3_3, v0) = v1 & ( ~ (v1 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0)))) % 83.83/44.26 | % 83.83/44.26 | Instantiating formula (137) with all_1_2_2, all_1_3_3 yields: % 83.83/44.26 | (324) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (left_convergent_lines(all_1_3_3, v0) = v3 & left_convergent_lines(all_1_3_3, all_1_2_2) = v2 & reverse_line(all_1_2_2) = v0 & unequally_directed_lines(all_1_3_3, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | v2 = 0)) % 83.83/44.26 | % 83.83/44.26 | Instantiating formula (169) with all_27_5_17, all_1_3_3, all_1_3_3, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_3_3, all_1_3_3) = all_27_5_17, yields: % 83.83/44.26 | (325) ~ (unequally_directed_lines(all_1_2_2, all_1_3_3) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_3_3) = v3 & reverse_line(all_1_3_3) = v0 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_1_3_3) = v2 & unequally_directed_lines(all_1_3_3, v3) = v5 & ( ~ (v1 = 0) | (v5 = 0 & all_27_5_17 = 0) | (v4 = 0 & v2 = 0))) % 83.83/44.26 | % 83.83/44.26 | Instantiating formula (41) with all_27_5_17, all_1_3_3, all_27_4_16, all_1_3_3 and discharging atoms unequally_directed_lines(all_1_3_3, all_1_3_3) = all_27_5_17, yields: % 83.83/44.26 | (326) all_27_5_17 = 0 | ~ (unequally_directed_lines(all_1_3_3, all_27_4_16) = 0) | unequally_directed_lines(all_27_4_16, all_1_3_3) = 0 % 83.83/44.26 | % 83.83/44.26 | Instantiating formula (41) with all_27_5_17, all_1_3_3, all_1_2_2, all_1_3_3 and discharging atoms unequally_directed_lines(all_1_3_3, all_1_3_3) = all_27_5_17, yields: % 83.83/44.26 | (327) all_27_5_17 = 0 | ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) | unequally_directed_lines(all_1_2_2, all_1_3_3) = 0 % 83.83/44.26 | % 83.83/44.26 | Instantiating (291) with all_138_0_183, all_138_1_184, all_138_2_185, all_138_3_186 yields: % 83.83/44.26 | (328) left_convergent_lines(all_1_2_2, all_138_3_186) = all_138_0_183 & left_convergent_lines(all_1_2_2, all_27_2_14) = all_138_1_184 & reverse_line(all_27_2_14) = all_138_3_186 & unequally_directed_lines(all_1_2_2, all_138_3_186) = all_138_2_185 & ( ~ (all_138_2_185 = 0) | all_138_0_183 = 0 | all_138_1_184 = 0) % 83.83/44.26 | % 83.83/44.26 | Applying alpha-rule on (328) yields: % 83.83/44.26 | (329) ~ (all_138_2_185 = 0) | all_138_0_183 = 0 | all_138_1_184 = 0 % 83.83/44.26 | (330) reverse_line(all_27_2_14) = all_138_3_186 % 83.83/44.26 | (331) left_convergent_lines(all_1_2_2, all_27_2_14) = all_138_1_184 % 83.83/44.26 | (332) left_convergent_lines(all_1_2_2, all_138_3_186) = all_138_0_183 % 83.83/44.26 | (333) unequally_directed_lines(all_1_2_2, all_138_3_186) = all_138_2_185 % 83.83/44.26 | % 83.83/44.26 | Instantiating (288) with all_170_0_272, all_170_1_273, all_170_2_274 yields: % 83.83/44.26 | (334) left_convergent_lines(all_1_2_2, all_27_2_14) = all_170_0_272 & left_convergent_lines(all_1_2_2, all_1_1_1) = all_170_1_273 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_170_2_274 & ( ~ (all_170_2_274 = 0) | all_170_0_272 = 0 | all_170_1_273 = 0) % 83.83/44.26 | % 83.83/44.26 | Applying alpha-rule on (334) yields: % 83.83/44.26 | (335) left_convergent_lines(all_1_2_2, all_27_2_14) = all_170_0_272 % 83.83/44.26 | (336) left_convergent_lines(all_1_2_2, all_1_1_1) = all_170_1_273 % 83.83/44.26 | (337) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_170_2_274 % 83.83/44.26 | (338) ~ (all_170_2_274 = 0) | all_170_0_272 = 0 | all_170_1_273 = 0 % 83.83/44.26 | % 83.83/44.26 +-Applying beta-rule and splitting (302), into two cases. % 83.83/44.26 |-Branch one: % 83.83/44.26 | (339) unequally_directed_lines(all_1_3_3, all_1_2_2) = 0 % 83.83/44.26 | % 83.83/44.26 +-Applying beta-rule and splitting (327), into two cases. % 83.83/44.26 |-Branch one: % 83.83/44.26 | (340) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) % 83.83/44.26 | % 83.83/44.26 | Using (339) and (340) yields: % 83.83/44.26 | (282) $false % 83.83/44.26 | % 83.83/44.26 |-The branch is then unsatisfiable % 83.83/44.26 |-Branch two: % 83.83/44.26 | (339) unequally_directed_lines(all_1_3_3, all_1_2_2) = 0 % 83.83/44.26 | (343) all_27_5_17 = 0 | unequally_directed_lines(all_1_2_2, all_1_3_3) = 0 % 83.83/44.26 | % 83.83/44.26 +-Applying beta-rule and splitting (319), into two cases. % 83.83/44.26 |-Branch one: % 83.83/44.26 | (340) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) % 83.83/44.26 | % 83.83/44.26 | Using (339) and (340) yields: % 83.83/44.26 | (282) $false % 83.83/44.26 | % 83.83/44.26 |-The branch is then unsatisfiable % 83.83/44.26 |-Branch two: % 83.83/44.26 | (339) unequally_directed_lines(all_1_3_3, all_1_2_2) = 0 % 83.83/44.26 | (347) all_48_0_23 = 0 | unequally_directed_lines(all_1_2_2, all_48_1_24) = 0 % 83.83/44.26 | % 83.83/44.26 +-Applying beta-rule and splitting (318), into two cases. % 83.83/44.26 |-Branch one: % 83.83/44.26 | (340) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) % 83.83/44.26 | % 83.83/44.26 | Using (339) and (340) yields: % 83.83/44.26 | (282) $false % 83.83/44.26 | % 83.83/44.26 |-The branch is then unsatisfiable % 83.83/44.26 |-Branch two: % 83.83/44.26 | (339) unequally_directed_lines(all_1_3_3, all_1_2_2) = 0 % 83.83/44.26 | (351) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_27_2_14) = v3 & reverse_line(all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v3) = v5 & unequally_directed_lines(all_1_3_3, v3) = v4 & unequally_directed_lines(all_1_3_3, v0) = v1 & unequally_directed_lines(all_1_3_3, all_27_2_14) = v2 & ( ~ (v1 = 0) | v5 = 0 | (v4 = 0 & v2 = 0))) % 83.83/44.26 | % 83.83/44.26 +-Applying beta-rule and splitting (343), into two cases. % 83.83/44.26 |-Branch one: % 83.83/44.26 | (352) unequally_directed_lines(all_1_2_2, all_1_3_3) = 0 % 83.83/44.26 | % 83.83/44.26 +-Applying beta-rule and splitting (304), into two cases. % 83.83/44.26 |-Branch one: % 83.83/44.26 | (340) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) % 83.83/44.26 | % 83.83/44.26 | Using (339) and (340) yields: % 83.83/44.26 | (282) $false % 83.83/44.26 | % 83.83/44.26 |-The branch is then unsatisfiable % 83.83/44.26 |-Branch two: % 83.83/44.26 | (339) unequally_directed_lines(all_1_3_3, all_1_2_2) = 0 % 83.83/44.26 | (356) all_23_0_8 = 0 | unequally_directed_lines(all_1_3_3, all_1_1_1) = 0 % 83.83/44.26 | % 83.83/44.26 +-Applying beta-rule and splitting (305), into two cases. % 83.83/44.26 |-Branch one: % 83.83/44.26 | (340) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) % 83.83/44.26 | % 83.83/44.26 | Using (339) and (340) yields: % 83.83/44.26 | (282) $false % 83.83/44.26 | % 83.83/44.26 |-The branch is then unsatisfiable % 83.83/44.26 |-Branch two: % 83.83/44.26 | (339) unequally_directed_lines(all_1_3_3, all_1_2_2) = 0 % 83.83/44.26 | (360) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_1_1) = v3 & reverse_line(all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v3) = v5 & unequally_directed_lines(all_1_3_3, v3) = v4 & unequally_directed_lines(all_1_3_3, v0) = v1 & unequally_directed_lines(all_1_3_3, all_1_1_1) = v2 & ( ~ (v1 = 0) | (v5 = 0 & all_23_0_8 = 0) | (v4 = 0 & v2 = 0))) % 83.83/44.26 | % 83.83/44.26 +-Applying beta-rule and splitting (324), into two cases. % 83.83/44.26 |-Branch one: % 83.83/44.26 | (340) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) % 83.83/44.26 | % 83.83/44.26 | Using (339) and (340) yields: % 83.83/44.26 | (282) $false % 83.83/44.26 | % 83.83/44.26 |-The branch is then unsatisfiable % 83.83/44.26 |-Branch two: % 83.83/44.26 | (339) unequally_directed_lines(all_1_3_3, all_1_2_2) = 0 % 83.83/44.26 | (364) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (left_convergent_lines(all_1_3_3, v0) = v3 & left_convergent_lines(all_1_3_3, all_1_2_2) = v2 & reverse_line(all_1_2_2) = v0 & unequally_directed_lines(all_1_3_3, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | v2 = 0)) % 83.83/44.26 | % 83.83/44.26 +-Applying beta-rule and splitting (306), into two cases. % 83.83/44.26 |-Branch one: % 83.83/44.26 | (365) unequally_directed_lines(all_1_3_3, all_1_3_3) = 0 % 83.83/44.26 | % 83.83/44.26 +-Applying beta-rule and splitting (270), into two cases. % 83.83/44.26 |-Branch one: % 83.83/44.26 | (366) ~ (unequally_directed_lines(all_1_3_3, all_1_3_3) = all_27_0_12) % 83.83/44.26 | % 83.83/44.26 | From (285) and (366) follows: % 83.83/44.26 | (367) ~ (unequally_directed_lines(all_1_3_3, all_1_3_3) = 0) % 83.83/44.26 | % 83.83/44.26 | Using (365) and (367) yields: % 83.83/44.26 | (282) $false % 83.83/44.26 | % 83.83/44.26 |-The branch is then unsatisfiable % 83.83/44.26 |-Branch two: % 83.83/44.26 | (369) unequally_directed_lines(all_1_3_3, all_1_3_3) = all_27_0_12 % 83.83/44.26 | (370) all_27_0_12 = all_27_5_17 % 83.83/44.26 | % 83.83/44.26 | Combining equations (285,370) yields a new equation: % 83.83/44.26 | (371) all_27_5_17 = 0 % 83.83/44.26 | % 83.83/44.26 | Equations (371) can reduce 274 to: % 83.83/44.26 | (242) $false % 83.83/44.26 | % 83.83/44.26 |-The branch is then unsatisfiable % 83.83/44.26 |-Branch two: % 83.83/44.26 | (367) ~ (unequally_directed_lines(all_1_3_3, all_1_3_3) = 0) % 83.83/44.26 | (374) all_27_3_15 = 0 % 83.83/44.26 | % 83.83/44.26 | From (374) and (228) follows: % 83.83/44.26 | (375) unequally_directed_lines(all_1_3_3, all_27_4_16) = 0 % 83.83/44.26 | % 83.83/44.26 +-Applying beta-rule and splitting (289), into two cases. % 83.83/44.26 |-Branch one: % 83.83/44.26 | (376) ~ (unequally_directed_lines(all_1_2_2, all_1_3_3) = 0) % 83.83/44.26 | % 83.83/44.26 | Using (352) and (376) yields: % 83.83/44.26 | (282) $false % 83.83/44.26 | % 83.83/44.26 |-The branch is then unsatisfiable % 83.83/44.26 |-Branch two: % 84.11/44.26 | (352) unequally_directed_lines(all_1_2_2, all_1_3_3) = 0 % 84.11/44.26 | (379) all_8_0_4 = 0 | unequally_directed_lines(all_1_2_2, all_1_1_1) = 0 % 84.11/44.26 | % 84.11/44.26 +-Applying beta-rule and splitting (323), into two cases. % 84.11/44.26 |-Branch one: % 84.11/44.26 | (340) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) % 84.11/44.26 | % 84.11/44.26 | Using (339) and (340) yields: % 84.11/44.26 | (282) $false % 84.11/44.26 | % 84.11/44.26 |-The branch is then unsatisfiable % 84.11/44.26 |-Branch two: % 84.11/44.26 | (339) unequally_directed_lines(all_1_3_3, all_1_2_2) = 0 % 84.11/44.26 | (383) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection_point(all_1_3_3, all_1_2_2) = v2 & apart_point_and_line(v2, all_1_2_2) = v4 & apart_point_and_line(v2, all_1_3_3) = v3 & reverse_line(all_1_2_2) = v0 & unequally_directed_lines(all_1_3_3, v0) = v1 & ( ~ (v1 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0)))) % 84.11/44.26 | % 84.11/44.26 +-Applying beta-rule and splitting (321), into two cases. % 84.11/44.26 |-Branch one: % 84.11/44.26 | (340) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) % 84.11/44.26 | % 84.11/44.26 | Using (339) and (340) yields: % 84.11/44.26 | (282) $false % 84.11/44.26 | % 84.11/44.26 |-The branch is then unsatisfiable % 84.11/44.26 |-Branch two: % 84.11/44.26 | (339) unequally_directed_lines(all_1_3_3, all_1_2_2) = 0 % 84.11/44.26 | (387) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_27_4_16) = v2 & reverse_line(all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_27_4_16) = v4 & unequally_directed_lines(all_1_3_3, v2) = v3 & unequally_directed_lines(all_1_3_3, v0) = v1 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_27_3_15 = 0))) % 84.11/44.26 | % 84.11/44.26 +-Applying beta-rule and splitting (322), into two cases. % 84.11/44.26 |-Branch one: % 84.11/44.26 | (340) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) % 84.11/44.26 | % 84.11/44.26 | Using (339) and (340) yields: % 84.11/44.26 | (282) $false % 84.11/44.26 | % 84.11/44.26 |-The branch is then unsatisfiable % 84.11/44.26 |-Branch two: % 84.11/44.26 | (339) unequally_directed_lines(all_1_3_3, all_1_2_2) = 0 % 84.11/44.26 | (391) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (intersection_point(all_1_3_3, all_1_2_2) = v4 & point(v4) = v5 & line(all_1_2_2) = v1 & line(all_1_3_3) = v0 & reverse_line(all_1_2_2) = v2 & unequally_directed_lines(all_1_3_3, v2) = v3 & ( ~ (v3 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 84.11/44.27 | % 84.11/44.27 +-Applying beta-rule and splitting (320), into two cases. % 84.11/44.27 |-Branch one: % 84.11/44.27 | (340) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) % 84.11/44.27 | % 84.11/44.27 | Using (339) and (340) yields: % 84.11/44.27 | (282) $false % 84.11/44.27 | % 84.11/44.27 |-The branch is then unsatisfiable % 84.11/44.27 |-Branch two: % 84.11/44.27 | (339) unequally_directed_lines(all_1_3_3, all_1_2_2) = 0 % 84.11/44.27 | (395) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_48_1_24) = v2 & reverse_line(all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_48_1_24) = v4 & unequally_directed_lines(all_1_3_3, v2) = v3 & unequally_directed_lines(all_1_3_3, v0) = v1 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_48_0_23 = 0))) % 84.11/44.27 | % 84.11/44.27 +-Applying beta-rule and splitting (269), into two cases. % 84.11/44.27 |-Branch one: % 84.11/44.27 | (396) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = all_27_3_15) % 84.11/44.27 | % 84.11/44.27 | From (374) and (396) follows: % 84.11/44.27 | (340) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) % 84.11/44.27 | % 84.11/44.27 | Using (339) and (340) yields: % 84.11/44.27 | (282) $false % 84.11/44.27 | % 84.11/44.27 |-The branch is then unsatisfiable % 84.11/44.27 |-Branch two: % 84.11/44.27 | (399) unequally_directed_lines(all_1_3_3, all_1_2_2) = all_27_3_15 % 84.11/44.27 | (400) all_27_3_15 = all_21_0_6 % 84.11/44.27 | % 84.11/44.27 | Combining equations (374,400) yields a new equation: % 84.11/44.27 | (401) all_21_0_6 = 0 % 84.11/44.27 | % 84.11/44.27 | From (401) and (220) follows: % 84.11/44.27 | (339) unequally_directed_lines(all_1_3_3, all_1_2_2) = 0 % 84.11/44.27 | % 84.11/44.27 +-Applying beta-rule and splitting (325), into two cases. % 84.11/44.27 |-Branch one: % 84.11/44.27 | (376) ~ (unequally_directed_lines(all_1_2_2, all_1_3_3) = 0) % 84.11/44.27 | % 84.11/44.27 | Using (352) and (376) yields: % 84.11/44.27 | (282) $false % 84.11/44.27 | % 84.11/44.27 |-The branch is then unsatisfiable % 84.11/44.27 |-Branch two: % 84.11/44.27 | (352) unequally_directed_lines(all_1_2_2, all_1_3_3) = 0 % 84.11/44.27 | (406) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_3_3) = v3 & reverse_line(all_1_3_3) = v0 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_1_3_3) = v2 & unequally_directed_lines(all_1_3_3, v3) = v5 & ( ~ (v1 = 0) | (v5 = 0 & all_27_5_17 = 0) | (v4 = 0 & v2 = 0))) % 84.11/44.27 | % 84.11/44.27 +-Applying beta-rule and splitting (316), into two cases. % 84.11/44.27 |-Branch one: % 84.11/44.27 | (340) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) % 84.11/44.27 | % 84.11/44.27 | Using (339) and (340) yields: % 84.11/44.27 | (282) $false % 84.11/44.27 | % 84.11/44.27 |-The branch is then unsatisfiable % 84.11/44.27 |-Branch two: % 84.11/44.27 | (339) unequally_directed_lines(all_1_3_3, all_1_2_2) = 0 % 84.11/44.27 | (410) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_2_2) = v2 & reverse_line(all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v4 & unequally_directed_lines(all_1_3_3, v2) = v3 & unequally_directed_lines(all_1_3_3, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0))) % 84.11/44.27 | % 84.11/44.27 +-Applying beta-rule and splitting (303), into two cases. % 84.11/44.27 |-Branch one: % 84.11/44.27 | (376) ~ (unequally_directed_lines(all_1_2_2, all_1_3_3) = 0) % 84.11/44.27 | % 84.11/44.27 | Using (352) and (376) yields: % 84.11/44.27 | (282) $false % 84.11/44.27 | % 84.11/44.27 |-The branch is then unsatisfiable % 84.11/44.27 |-Branch two: % 84.11/44.27 | (352) unequally_directed_lines(all_1_2_2, all_1_3_3) = 0 % 84.11/44.27 | (414) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_48_1_24) = v3 & reverse_line(all_1_3_3) = v0 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_48_1_24) = v2 & unequally_directed_lines(all_1_3_3, v3) = v5 & ( ~ (v1 = 0) | (v5 = 0 & all_48_0_23 = 0) | (v4 = 0 & v2 = 0))) % 84.11/44.27 | % 84.11/44.27 +-Applying beta-rule and splitting (326), into two cases. % 84.11/44.27 |-Branch one: % 84.11/44.27 | (415) ~ (unequally_directed_lines(all_1_3_3, all_27_4_16) = 0) % 84.11/44.27 | % 84.11/44.27 | Using (375) and (415) yields: % 84.11/44.27 | (282) $false % 84.11/44.27 | % 84.11/44.27 |-The branch is then unsatisfiable % 84.11/44.27 |-Branch two: % 84.11/44.27 | (375) unequally_directed_lines(all_1_3_3, all_27_4_16) = 0 % 84.11/44.27 | (418) all_27_5_17 = 0 | unequally_directed_lines(all_27_4_16, all_1_3_3) = 0 % 84.11/44.27 | % 84.11/44.27 +-Applying beta-rule and splitting (317), into two cases. % 84.11/44.27 |-Branch one: % 84.11/44.27 | (340) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) % 84.11/44.27 | % 84.11/44.27 | Using (339) and (340) yields: % 84.11/44.27 | (282) $false % 84.11/44.27 | % 84.11/44.27 |-The branch is then unsatisfiable % 84.11/44.27 |-Branch two: % 84.11/44.27 | (339) unequally_directed_lines(all_1_3_3, all_1_2_2) = 0 % 84.11/44.27 | (379) all_8_0_4 = 0 | unequally_directed_lines(all_1_2_2, all_1_1_1) = 0 % 84.11/44.27 | % 84.11/44.27 +-Applying beta-rule and splitting (311), into two cases. % 84.11/44.27 |-Branch one: % 84.11/44.27 | (415) ~ (unequally_directed_lines(all_1_3_3, all_27_4_16) = 0) % 84.11/44.27 | % 84.11/44.27 | Using (375) and (415) yields: % 84.11/44.27 | (282) $false % 84.11/44.27 | % 84.11/44.27 |-The branch is then unsatisfiable % 84.11/44.27 |-Branch two: % 84.11/44.27 | (375) unequally_directed_lines(all_1_3_3, all_27_4_16) = 0 % 84.11/44.27 | (426) all_8_0_4 = 0 | unequally_directed_lines(all_27_4_16, all_1_1_1) = 0 % 84.11/44.27 | % 84.11/44.27 +-Applying beta-rule and splitting (310), into two cases. % 84.11/44.27 |-Branch one: % 84.11/44.27 | (415) ~ (unequally_directed_lines(all_1_3_3, all_27_4_16) = 0) % 84.11/44.27 | % 84.11/44.27 | Using (375) and (415) yields: % 84.11/44.27 | (282) $false % 84.11/44.27 | % 84.11/44.27 |-The branch is then unsatisfiable % 84.11/44.27 |-Branch two: % 84.11/44.27 | (375) unequally_directed_lines(all_1_3_3, all_27_4_16) = 0 % 84.11/44.27 | (430) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_27_4_16) = v0 & unequally_directed_lines(all_27_4_16, all_27_4_16) = v5 & unequally_directed_lines(all_27_4_16, all_1_3_3) = v4 & unequally_directed_lines(all_1_3_3, v0) = v1 & unequally_directed_lines(all_1_3_3, all_27_4_16) = v3 & unequally_directed_lines(all_1_3_3, all_1_3_3) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0))) % 84.11/44.27 | % 84.11/44.27 +-Applying beta-rule and splitting (314), into two cases. % 84.11/44.27 |-Branch one: % 84.11/44.27 | (415) ~ (unequally_directed_lines(all_1_3_3, all_27_4_16) = 0) % 84.11/44.27 | % 84.11/44.27 | Using (375) and (415) yields: % 84.11/44.27 | (282) $false % 84.11/44.27 | % 84.11/44.27 |-The branch is then unsatisfiable % 84.11/44.27 |-Branch two: % 84.11/44.27 | (375) unequally_directed_lines(all_1_3_3, all_27_4_16) = 0 % 84.11/44.27 | (434) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_48_1_24) = v2 & reverse_line(all_27_4_16) = v0 & unequally_directed_lines(all_27_4_16, v2) = v5 & unequally_directed_lines(all_27_4_16, all_48_1_24) = v4 & unequally_directed_lines(all_1_3_3, v2) = v3 & unequally_directed_lines(all_1_3_3, v0) = v1 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_48_0_23 = 0))) % 84.11/44.27 | % 84.11/44.27 +-Applying beta-rule and splitting (315), into two cases. % 84.11/44.27 |-Branch one: % 84.11/44.27 | (415) ~ (unequally_directed_lines(all_1_3_3, all_27_4_16) = 0) % 84.11/44.27 | % 84.11/44.27 | Using (375) and (415) yields: % 84.11/44.27 | (282) $false % 84.11/44.27 | % 84.11/44.27 |-The branch is then unsatisfiable % 84.11/44.27 |-Branch two: % 84.11/44.27 | (375) unequally_directed_lines(all_1_3_3, all_27_4_16) = 0 % 84.11/44.27 | (438) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_27_2_14) = v2 & reverse_line(all_27_4_16) = v0 & unequally_directed_lines(all_27_4_16, v2) = v5 & unequally_directed_lines(all_27_4_16, all_27_2_14) = v4 & unequally_directed_lines(all_1_3_3, v2) = v3 & unequally_directed_lines(all_1_3_3, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0))) % 84.11/44.27 | % 84.11/44.27 +-Applying beta-rule and splitting (313), into two cases. % 84.11/44.27 |-Branch one: % 84.11/44.27 | (415) ~ (unequally_directed_lines(all_1_3_3, all_27_4_16) = 0) % 84.11/44.27 | % 84.11/44.27 | Using (375) and (415) yields: % 84.11/44.27 | (282) $false % 84.11/44.27 | % 84.11/44.27 |-The branch is then unsatisfiable % 84.11/44.27 |-Branch two: % 84.11/44.27 | (375) unequally_directed_lines(all_1_3_3, all_27_4_16) = 0 % 84.11/44.27 | (442) all_48_0_23 = 0 | unequally_directed_lines(all_27_4_16, all_48_1_24) = 0 % 84.11/44.27 | % 84.11/44.27 +-Applying beta-rule and splitting (308), into two cases. % 84.11/44.27 |-Branch one: % 84.11/44.27 | (415) ~ (unequally_directed_lines(all_1_3_3, all_27_4_16) = 0) % 84.11/44.27 | % 84.11/44.27 | Using (375) and (415) yields: % 84.11/44.27 | (282) $false % 84.11/44.27 | % 84.11/44.27 |-The branch is then unsatisfiable % 84.11/44.27 |-Branch two: % 84.11/44.27 | (375) unequally_directed_lines(all_1_3_3, all_27_4_16) = 0 % 84.11/44.27 | (446) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_27_4_16) = v2 & reverse_line(all_27_4_16) = v0 & unequally_directed_lines(all_27_4_16, v2) = v5 & unequally_directed_lines(all_27_4_16, all_27_4_16) = v4 & unequally_directed_lines(all_1_3_3, v2) = v3 & unequally_directed_lines(all_1_3_3, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0))) % 84.11/44.27 | % 84.11/44.27 +-Applying beta-rule and splitting (309), into two cases. % 84.11/44.27 |-Branch one: % 84.11/44.27 | (415) ~ (unequally_directed_lines(all_1_3_3, all_27_4_16) = 0) % 84.11/44.27 | % 84.11/44.27 | Using (375) and (415) yields: % 84.11/44.27 | (282) $false % 84.11/44.27 | % 84.11/44.27 |-The branch is then unsatisfiable % 84.11/44.27 |-Branch two: % 84.11/44.27 | (375) unequally_directed_lines(all_1_3_3, all_27_4_16) = 0 % 84.11/44.27 | (450) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_27_4_16) = v0 & unequally_directed_lines(all_27_4_16, all_27_2_14) = v5 & unequally_directed_lines(all_27_4_16, all_1_1_1) = v4 & unequally_directed_lines(all_1_3_3, v0) = v1 & unequally_directed_lines(all_1_3_3, all_27_2_14) = v3 & unequally_directed_lines(all_1_3_3, all_1_1_1) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0))) % 84.11/44.27 | % 84.11/44.27 +-Applying beta-rule and splitting (312), into two cases. % 84.11/44.27 |-Branch one: % 84.11/44.27 | (415) ~ (unequally_directed_lines(all_1_3_3, all_27_4_16) = 0) % 84.11/44.27 | % 84.11/44.27 | Using (375) and (415) yields: % 84.11/44.27 | (282) $false % 84.11/44.27 | % 84.11/44.27 |-The branch is then unsatisfiable % 84.11/44.27 |-Branch two: % 84.11/44.27 | (375) unequally_directed_lines(all_1_3_3, all_27_4_16) = 0 % 84.11/44.27 | (454) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_27_4_16) = v0 & reverse_line(all_1_1_1) = v2 & unequally_directed_lines(all_27_4_16, v2) = v5 & unequally_directed_lines(all_27_4_16, all_1_1_1) = v4 & unequally_directed_lines(all_1_3_3, v2) = v3 & unequally_directed_lines(all_1_3_3, v0) = v1 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_8_0_4 = 0))) % 84.11/44.27 | % 84.11/44.27 | Instantiating (454) with all_450_0_553, all_450_1_554, all_450_2_555, all_450_3_556, all_450_4_557, all_450_5_558 yields: % 84.11/44.27 | (455) reverse_line(all_27_4_16) = all_450_5_558 & reverse_line(all_1_1_1) = all_450_3_556 & unequally_directed_lines(all_27_4_16, all_450_3_556) = all_450_0_553 & unequally_directed_lines(all_27_4_16, all_1_1_1) = all_450_1_554 & unequally_directed_lines(all_1_3_3, all_450_3_556) = all_450_2_555 & unequally_directed_lines(all_1_3_3, all_450_5_558) = all_450_4_557 & ( ~ (all_450_4_557 = 0) | (all_450_0_553 = 0 & all_450_1_554 = 0) | (all_450_2_555 = 0 & all_8_0_4 = 0)) % 84.11/44.27 | % 84.11/44.27 | Applying alpha-rule on (455) yields: % 84.11/44.27 | (456) unequally_directed_lines(all_1_3_3, all_450_5_558) = all_450_4_557 % 84.11/44.27 | (457) ~ (all_450_4_557 = 0) | (all_450_0_553 = 0 & all_450_1_554 = 0) | (all_450_2_555 = 0 & all_8_0_4 = 0) % 84.11/44.27 | (458) unequally_directed_lines(all_1_3_3, all_450_3_556) = all_450_2_555 % 84.11/44.27 | (459) unequally_directed_lines(all_27_4_16, all_1_1_1) = all_450_1_554 % 84.11/44.27 | (460) unequally_directed_lines(all_27_4_16, all_450_3_556) = all_450_0_553 % 84.11/44.27 | (461) reverse_line(all_1_1_1) = all_450_3_556 % 84.11/44.27 | (462) reverse_line(all_27_4_16) = all_450_5_558 % 84.11/44.27 | % 84.11/44.27 +-Applying beta-rule and splitting (379), into two cases. % 84.11/44.27 |-Branch one: % 84.11/44.27 | (463) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0 % 84.11/44.28 | % 84.11/44.28 +-Applying beta-rule and splitting (307), into two cases. % 84.11/44.28 |-Branch one: % 84.11/44.28 | (376) ~ (unequally_directed_lines(all_1_2_2, all_1_3_3) = 0) % 84.11/44.28 | % 84.11/44.28 | Using (352) and (376) yields: % 84.11/44.28 | (282) $false % 84.11/44.28 | % 84.11/44.28 |-The branch is then unsatisfiable % 84.11/44.28 |-Branch two: % 84.11/44.28 | (352) unequally_directed_lines(all_1_2_2, all_1_3_3) = 0 % 84.11/44.28 | (467) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_27_4_16) = v3 & reverse_line(all_1_3_3) = v0 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_27_4_16) = v2 & unequally_directed_lines(all_1_3_3, v3) = v5 & ( ~ (v1 = 0) | (v5 = 0 & all_27_3_15 = 0) | (v4 = 0 & v2 = 0))) % 84.11/44.28 | % 84.11/44.28 +-Applying beta-rule and splitting (287), into two cases. % 84.11/44.28 |-Branch one: % 84.11/44.28 | (468) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) % 84.11/44.28 | % 84.11/44.28 | Using (463) and (468) yields: % 84.11/44.28 | (282) $false % 84.11/44.28 | % 84.11/44.28 |-The branch is then unsatisfiable % 84.11/44.28 |-Branch two: % 84.11/44.28 | (463) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0 % 84.11/44.28 | (471) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_1_1) = v3 & reverse_line(all_1_3_3) = v1 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_3_3) = v0 & unequally_directed_lines(all_1_3_3, v3) = v5 & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0 | (v5 = 0 & all_8_0_4 = 0))) % 84.11/44.28 | % 84.11/44.28 | Instantiating (471) with all_502_0_593, all_502_1_594, all_502_2_595, all_502_3_596, all_502_4_597, all_502_5_598 yields: % 84.11/44.28 | (472) reverse_line(all_1_1_1) = all_502_2_595 & reverse_line(all_1_3_3) = all_502_4_597 & unequally_directed_lines(all_1_2_2, all_502_2_595) = all_502_1_594 & unequally_directed_lines(all_1_2_2, all_502_4_597) = all_502_3_596 & unequally_directed_lines(all_1_2_2, all_1_3_3) = all_502_5_598 & unequally_directed_lines(all_1_3_3, all_502_2_595) = all_502_0_593 & ( ~ (all_502_3_596 = 0) | ~ (all_502_5_598 = 0) | all_502_1_594 = 0 | (all_502_0_593 = 0 & all_8_0_4 = 0)) % 84.11/44.28 | % 84.11/44.28 | Applying alpha-rule on (472) yields: % 84.11/44.28 | (473) reverse_line(all_1_1_1) = all_502_2_595 % 84.11/44.28 | (474) ~ (all_502_3_596 = 0) | ~ (all_502_5_598 = 0) | all_502_1_594 = 0 | (all_502_0_593 = 0 & all_8_0_4 = 0) % 84.11/44.28 | (475) unequally_directed_lines(all_1_2_2, all_502_2_595) = all_502_1_594 % 84.11/44.28 | (476) unequally_directed_lines(all_1_2_2, all_1_3_3) = all_502_5_598 % 84.11/44.28 | (477) unequally_directed_lines(all_1_3_3, all_502_2_595) = all_502_0_593 % 84.11/44.28 | (478) reverse_line(all_1_3_3) = all_502_4_597 % 84.11/44.28 | (479) unequally_directed_lines(all_1_2_2, all_502_4_597) = all_502_3_596 % 84.11/44.28 | % 84.11/44.28 +-Applying beta-rule and splitting (295), into two cases. % 84.11/44.28 |-Branch one: % 84.11/44.28 | (468) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) % 84.11/44.28 | % 84.11/44.28 | Using (463) and (468) yields: % 84.11/44.28 | (282) $false % 84.11/44.28 | % 84.11/44.28 |-The branch is then unsatisfiable % 84.11/44.28 |-Branch two: % 84.11/44.28 | (463) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0 % 84.11/44.28 | (483) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_1_1) = v0 & unequally_directed_lines(all_1_1_1, all_48_1_24) = v5 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_48_1_24) = v3 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0))) % 84.11/44.28 | % 84.11/44.28 | Instantiating (483) with all_512_0_600, all_512_1_601, all_512_2_602, all_512_3_603, all_512_4_604, all_512_5_605 yields: % 84.11/44.28 | (484) reverse_line(all_1_1_1) = all_512_5_605 & unequally_directed_lines(all_1_1_1, all_48_1_24) = all_512_0_600 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_512_1_601 & unequally_directed_lines(all_1_2_2, all_512_5_605) = all_512_4_604 & unequally_directed_lines(all_1_2_2, all_48_1_24) = all_512_2_602 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_512_3_603 & ( ~ (all_512_4_604 = 0) | (all_512_0_600 = 0 & all_512_1_601 = 0) | (all_512_2_602 = 0 & all_512_3_603 = 0)) % 84.11/44.28 | % 84.11/44.28 | Applying alpha-rule on (484) yields: % 84.11/44.28 | (485) reverse_line(all_1_1_1) = all_512_5_605 % 84.11/44.28 | (486) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_512_1_601 % 84.11/44.28 | (487) unequally_directed_lines(all_1_2_2, all_48_1_24) = all_512_2_602 % 84.11/44.28 | (488) ~ (all_512_4_604 = 0) | (all_512_0_600 = 0 & all_512_1_601 = 0) | (all_512_2_602 = 0 & all_512_3_603 = 0) % 84.11/44.28 | (489) unequally_directed_lines(all_1_1_1, all_48_1_24) = all_512_0_600 % 84.11/44.28 | (490) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_512_3_603 % 84.11/44.28 | (491) unequally_directed_lines(all_1_2_2, all_512_5_605) = all_512_4_604 % 84.11/44.28 | % 84.11/44.28 +-Applying beta-rule and splitting (296), into two cases. % 84.11/44.28 |-Branch one: % 84.11/44.28 | (468) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) % 84.11/44.28 | % 84.11/44.28 | Using (463) and (468) yields: % 84.11/44.28 | (282) $false % 84.11/44.28 | % 84.11/44.28 |-The branch is then unsatisfiable % 84.11/44.28 |-Branch two: % 84.11/44.28 | (463) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0 % 84.11/44.28 | (495) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_1_1) = v0 & unequally_directed_lines(all_1_1_1, all_27_4_16) = v5 & unequally_directed_lines(all_1_1_1, all_1_3_3) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_27_4_16) = v3 & unequally_directed_lines(all_1_2_2, all_1_3_3) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0))) % 84.11/44.28 | % 84.11/44.28 | Instantiating (495) with all_517_0_606, all_517_1_607, all_517_2_608, all_517_3_609, all_517_4_610, all_517_5_611 yields: % 84.11/44.28 | (496) reverse_line(all_1_1_1) = all_517_5_611 & unequally_directed_lines(all_1_1_1, all_27_4_16) = all_517_0_606 & unequally_directed_lines(all_1_1_1, all_1_3_3) = all_517_1_607 & unequally_directed_lines(all_1_2_2, all_517_5_611) = all_517_4_610 & unequally_directed_lines(all_1_2_2, all_27_4_16) = all_517_2_608 & unequally_directed_lines(all_1_2_2, all_1_3_3) = all_517_3_609 & ( ~ (all_517_4_610 = 0) | (all_517_0_606 = 0 & all_517_1_607 = 0) | (all_517_2_608 = 0 & all_517_3_609 = 0)) % 84.11/44.28 | % 84.11/44.28 | Applying alpha-rule on (496) yields: % 84.11/44.28 | (497) unequally_directed_lines(all_1_2_2, all_1_3_3) = all_517_3_609 % 84.11/44.28 | (498) reverse_line(all_1_1_1) = all_517_5_611 % 84.11/44.28 | (499) unequally_directed_lines(all_1_2_2, all_517_5_611) = all_517_4_610 % 84.11/44.28 | (500) unequally_directed_lines(all_1_2_2, all_27_4_16) = all_517_2_608 % 84.11/44.28 | (501) unequally_directed_lines(all_1_1_1, all_27_4_16) = all_517_0_606 % 84.11/44.28 | (502) ~ (all_517_4_610 = 0) | (all_517_0_606 = 0 & all_517_1_607 = 0) | (all_517_2_608 = 0 & all_517_3_609 = 0) % 84.11/44.28 | (503) unequally_directed_lines(all_1_1_1, all_1_3_3) = all_517_1_607 % 84.11/44.28 | % 84.11/44.28 +-Applying beta-rule and splitting (297), into two cases. % 84.11/44.28 |-Branch one: % 84.11/44.28 | (468) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) % 84.11/44.28 | % 84.11/44.28 | Using (463) and (468) yields: % 84.11/44.28 | (282) $false % 84.11/44.28 | % 84.11/44.28 |-The branch is then unsatisfiable % 84.11/44.28 |-Branch two: % 84.11/44.28 | (463) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0 % 84.11/44.28 | (507) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_27_2_14) = v2 & reverse_line(all_1_1_1) = v0 & unequally_directed_lines(all_1_1_1, v2) = v5 & unequally_directed_lines(all_1_1_1, all_27_2_14) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0))) % 84.11/44.28 | % 84.11/44.28 | Instantiating (507) with all_522_0_612, all_522_1_613, all_522_2_614, all_522_3_615, all_522_4_616, all_522_5_617 yields: % 84.11/44.28 | (508) reverse_line(all_27_2_14) = all_522_3_615 & reverse_line(all_1_1_1) = all_522_5_617 & unequally_directed_lines(all_1_1_1, all_522_3_615) = all_522_0_612 & unequally_directed_lines(all_1_1_1, all_27_2_14) = all_522_1_613 & unequally_directed_lines(all_1_2_2, all_522_3_615) = all_522_2_614 & unequally_directed_lines(all_1_2_2, all_522_5_617) = all_522_4_616 & ( ~ (all_522_4_616 = 0) | all_522_2_614 = 0 | (all_522_0_612 = 0 & all_522_1_613 = 0)) % 84.11/44.28 | % 84.11/44.28 | Applying alpha-rule on (508) yields: % 84.11/44.28 | (509) unequally_directed_lines(all_1_2_2, all_522_5_617) = all_522_4_616 % 84.11/44.28 | (510) reverse_line(all_27_2_14) = all_522_3_615 % 84.11/44.28 | (511) unequally_directed_lines(all_1_2_2, all_522_3_615) = all_522_2_614 % 84.11/44.28 | (512) reverse_line(all_1_1_1) = all_522_5_617 % 84.11/44.28 | (513) unequally_directed_lines(all_1_1_1, all_522_3_615) = all_522_0_612 % 84.11/44.28 | (514) unequally_directed_lines(all_1_1_1, all_27_2_14) = all_522_1_613 % 84.11/44.28 | (515) ~ (all_522_4_616 = 0) | all_522_2_614 = 0 | (all_522_0_612 = 0 & all_522_1_613 = 0) % 84.11/44.28 | % 84.11/44.28 +-Applying beta-rule and splitting (298), into two cases. % 84.11/44.28 |-Branch one: % 84.11/44.28 | (468) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) % 84.11/44.28 | % 84.11/44.28 | Using (463) and (468) yields: % 84.11/44.28 | (282) $false % 84.11/44.28 | % 84.11/44.28 |-The branch is then unsatisfiable % 84.11/44.28 |-Branch two: % 84.11/44.28 | (463) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0 % 84.11/44.28 | (519) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (intersection_point(all_1_2_2, all_1_1_1) = v4 & point(v4) = v5 & line(all_1_1_1) = v1 & line(all_1_2_2) = v0 & reverse_line(all_1_1_1) = v2 & unequally_directed_lines(all_1_2_2, v2) = v3 & ( ~ (v3 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0)) % 84.11/44.28 | % 84.11/44.28 | Instantiating (519) with all_527_0_618, all_527_1_619, all_527_2_620, all_527_3_621, all_527_4_622, all_527_5_623 yields: % 84.11/44.28 | (520) intersection_point(all_1_2_2, all_1_1_1) = all_527_1_619 & point(all_527_1_619) = all_527_0_618 & line(all_1_1_1) = all_527_4_622 & line(all_1_2_2) = all_527_5_623 & reverse_line(all_1_1_1) = all_527_3_621 & unequally_directed_lines(all_1_2_2, all_527_3_621) = all_527_2_620 & ( ~ (all_527_2_620 = 0) | ~ (all_527_4_622 = 0) | ~ (all_527_5_623 = 0) | all_527_0_618 = 0) % 84.11/44.28 | % 84.11/44.28 | Applying alpha-rule on (520) yields: % 84.11/44.28 | (521) ~ (all_527_2_620 = 0) | ~ (all_527_4_622 = 0) | ~ (all_527_5_623 = 0) | all_527_0_618 = 0 % 84.11/44.28 | (522) unequally_directed_lines(all_1_2_2, all_527_3_621) = all_527_2_620 % 84.11/44.28 | (523) intersection_point(all_1_2_2, all_1_1_1) = all_527_1_619 % 84.11/44.28 | (524) point(all_527_1_619) = all_527_0_618 % 84.11/44.28 | (525) line(all_1_2_2) = all_527_5_623 % 84.11/44.28 | (526) line(all_1_1_1) = all_527_4_622 % 84.11/44.28 | (527) reverse_line(all_1_1_1) = all_527_3_621 % 84.11/44.28 | % 84.11/44.28 +-Applying beta-rule and splitting (299), into two cases. % 84.11/44.28 |-Branch one: % 84.11/44.28 | (468) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) % 84.11/44.28 | % 84.11/44.28 | Using (463) and (468) yields: % 84.11/44.28 | (282) $false % 84.11/44.28 | % 84.11/44.28 |-The branch is then unsatisfiable % 84.11/44.28 |-Branch two: % 84.11/44.28 | (463) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0 % 84.11/44.28 | (531) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection_point(all_1_2_2, all_1_1_1) = v2 & apart_point_and_line(v2, all_1_1_1) = v4 & apart_point_and_line(v2, all_1_2_2) = v3 & reverse_line(all_1_1_1) = v0 & unequally_directed_lines(all_1_2_2, v0) = v1 & ( ~ (v1 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0)))) % 84.11/44.28 | % 84.11/44.28 | Instantiating (531) with all_532_0_624, all_532_1_625, all_532_2_626, all_532_3_627, all_532_4_628 yields: % 84.11/44.28 | (532) intersection_point(all_1_2_2, all_1_1_1) = all_532_2_626 & apart_point_and_line(all_532_2_626, all_1_1_1) = all_532_0_624 & apart_point_and_line(all_532_2_626, all_1_2_2) = all_532_1_625 & reverse_line(all_1_1_1) = all_532_4_628 & unequally_directed_lines(all_1_2_2, all_532_4_628) = all_532_3_627 & ( ~ (all_532_3_627 = 0) | ( ~ (all_532_0_624 = 0) & ~ (all_532_1_625 = 0))) % 84.11/44.29 | % 84.11/44.29 | Applying alpha-rule on (532) yields: % 84.11/44.29 | (533) reverse_line(all_1_1_1) = all_532_4_628 % 84.11/44.29 | (534) apart_point_and_line(all_532_2_626, all_1_2_2) = all_532_1_625 % 84.11/44.29 | (535) ~ (all_532_3_627 = 0) | ( ~ (all_532_0_624 = 0) & ~ (all_532_1_625 = 0)) % 84.11/44.29 | (536) intersection_point(all_1_2_2, all_1_1_1) = all_532_2_626 % 84.11/44.29 | (537) apart_point_and_line(all_532_2_626, all_1_1_1) = all_532_0_624 % 84.11/44.29 | (538) unequally_directed_lines(all_1_2_2, all_532_4_628) = all_532_3_627 % 84.11/44.29 | % 84.11/44.29 +-Applying beta-rule and splitting (301), into two cases. % 84.11/44.29 |-Branch one: % 84.11/44.29 | (468) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) % 84.11/44.29 | % 84.11/44.29 | Using (463) and (468) yields: % 84.11/44.29 | (282) $false % 84.11/44.29 | % 84.11/44.29 |-The branch is then unsatisfiable % 84.11/44.29 |-Branch two: % 84.11/44.29 | (463) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0 % 84.11/44.29 | (542) ? [v0] : ( ~ (v0 = 0) & equally_directed_lines(all_1_2_2, all_1_1_1) = v0) % 84.11/44.29 | % 84.11/44.29 +-Applying beta-rule and splitting (300), into two cases. % 84.11/44.29 |-Branch one: % 84.11/44.29 | (468) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) % 84.11/44.29 | % 84.11/44.29 | Using (463) and (468) yields: % 84.11/44.29 | (282) $false % 84.11/44.29 | % 84.11/44.29 |-The branch is then unsatisfiable % 84.11/44.29 |-Branch two: % 84.11/44.29 | (463) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0 % 84.11/44.29 | (546) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (left_convergent_lines(all_1_2_2, v0) = v3 & left_convergent_lines(all_1_2_2, all_1_1_1) = v2 & reverse_line(all_1_1_1) = v0 & unequally_directed_lines(all_1_2_2, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | v2 = 0)) % 84.11/44.29 | % 84.11/44.29 | Instantiating (546) with all_542_0_630, all_542_1_631, all_542_2_632, all_542_3_633 yields: % 84.11/44.29 | (547) left_convergent_lines(all_1_2_2, all_542_3_633) = all_542_0_630 & left_convergent_lines(all_1_2_2, all_1_1_1) = all_542_1_631 & reverse_line(all_1_1_1) = all_542_3_633 & unequally_directed_lines(all_1_2_2, all_542_3_633) = all_542_2_632 & ( ~ (all_542_2_632 = 0) | all_542_0_630 = 0 | all_542_1_631 = 0) % 84.11/44.29 | % 84.11/44.29 | Applying alpha-rule on (547) yields: % 84.11/44.29 | (548) left_convergent_lines(all_1_2_2, all_542_3_633) = all_542_0_630 % 84.11/44.29 | (549) reverse_line(all_1_1_1) = all_542_3_633 % 84.11/44.29 | (550) ~ (all_542_2_632 = 0) | all_542_0_630 = 0 | all_542_1_631 = 0 % 84.11/44.29 | (551) left_convergent_lines(all_1_2_2, all_1_1_1) = all_542_1_631 % 84.11/44.29 | (552) unequally_directed_lines(all_1_2_2, all_542_3_633) = all_542_2_632 % 84.11/44.29 | % 84.11/44.29 +-Applying beta-rule and splitting (290), into two cases. % 84.11/44.29 |-Branch one: % 84.11/44.29 | (376) ~ (unequally_directed_lines(all_1_2_2, all_1_3_3) = 0) % 84.11/44.29 | % 84.11/44.29 | Using (352) and (376) yields: % 84.11/44.29 | (282) $false % 84.11/44.29 | % 84.11/44.29 |-The branch is then unsatisfiable % 84.11/44.29 |-Branch two: % 84.11/44.29 | (352) unequally_directed_lines(all_1_2_2, all_1_3_3) = 0 % 84.11/44.29 | (556) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_1_1) = v3 & reverse_line(all_1_3_3) = v0 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v2 & unequally_directed_lines(all_1_3_3, v3) = v5 & ( ~ (v1 = 0) | (v5 = 0 & all_8_0_4 = 0) | (v4 = 0 & v2 = 0))) % 84.11/44.29 | % 84.11/44.29 | Instantiating (556) with all_547_0_634, all_547_1_635, all_547_2_636, all_547_3_637, all_547_4_638, all_547_5_639 yields: % 84.11/44.29 | (557) reverse_line(all_1_1_1) = all_547_2_636 & reverse_line(all_1_3_3) = all_547_5_639 & unequally_directed_lines(all_1_2_2, all_547_2_636) = all_547_1_635 & unequally_directed_lines(all_1_2_2, all_547_5_639) = all_547_4_638 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_547_3_637 & unequally_directed_lines(all_1_3_3, all_547_2_636) = all_547_0_634 & ( ~ (all_547_4_638 = 0) | (all_547_0_634 = 0 & all_8_0_4 = 0) | (all_547_1_635 = 0 & all_547_3_637 = 0)) % 84.11/44.29 | % 84.11/44.29 | Applying alpha-rule on (557) yields: % 84.11/44.29 | (558) ~ (all_547_4_638 = 0) | (all_547_0_634 = 0 & all_8_0_4 = 0) | (all_547_1_635 = 0 & all_547_3_637 = 0) % 84.11/44.29 | (559) reverse_line(all_1_3_3) = all_547_5_639 % 84.11/44.29 | (560) unequally_directed_lines(all_1_2_2, all_547_2_636) = all_547_1_635 % 84.11/44.29 | (561) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_547_3_637 % 84.11/44.29 | (562) unequally_directed_lines(all_1_3_3, all_547_2_636) = all_547_0_634 % 84.11/44.29 | (563) reverse_line(all_1_1_1) = all_547_2_636 % 84.11/44.29 | (564) unequally_directed_lines(all_1_2_2, all_547_5_639) = all_547_4_638 % 84.11/44.29 | % 84.11/44.29 +-Applying beta-rule and splitting (294), into two cases. % 84.11/44.29 |-Branch one: % 84.11/44.29 | (468) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) % 84.11/44.29 | % 84.11/44.29 | Using (463) and (468) yields: % 84.11/44.29 | (282) $false % 84.11/44.29 | % 84.11/44.29 |-The branch is then unsatisfiable % 84.11/44.29 |-Branch two: % 84.11/44.29 | (463) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0 % 84.11/44.29 | (568) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_1_1) = v2 & reverse_line(all_1_1_1) = v0 & unequally_directed_lines(all_1_1_1, v2) = v5 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0))) % 84.11/44.29 | % 84.11/44.29 | Instantiating (568) with all_552_0_640, all_552_1_641, all_552_2_642, all_552_3_643, all_552_4_644, all_552_5_645 yields: % 84.11/44.29 | (569) reverse_line(all_1_1_1) = all_552_3_643 & reverse_line(all_1_1_1) = all_552_5_645 & unequally_directed_lines(all_1_1_1, all_552_3_643) = all_552_0_640 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_552_1_641 & unequally_directed_lines(all_1_2_2, all_552_3_643) = all_552_2_642 & unequally_directed_lines(all_1_2_2, all_552_5_645) = all_552_4_644 & ( ~ (all_552_4_644 = 0) | all_552_2_642 = 0 | (all_552_0_640 = 0 & all_552_1_641 = 0)) % 84.11/44.29 | % 84.11/44.29 | Applying alpha-rule on (569) yields: % 84.11/44.29 | (570) unequally_directed_lines(all_1_2_2, all_552_5_645) = all_552_4_644 % 84.11/44.29 | (571) unequally_directed_lines(all_1_2_2, all_552_3_643) = all_552_2_642 % 84.11/44.29 | (572) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_552_1_641 % 84.11/44.29 | (573) ~ (all_552_4_644 = 0) | all_552_2_642 = 0 | (all_552_0_640 = 0 & all_552_1_641 = 0) % 84.11/44.29 | (574) reverse_line(all_1_1_1) = all_552_3_643 % 84.11/44.29 | (575) unequally_directed_lines(all_1_1_1, all_552_3_643) = all_552_0_640 % 84.11/44.29 | (576) reverse_line(all_1_1_1) = all_552_5_645 % 84.11/44.29 | % 84.11/44.29 +-Applying beta-rule and splitting (293), into two cases. % 84.11/44.29 |-Branch one: % 84.11/44.29 | (468) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) % 84.11/44.29 | % 84.11/44.29 | Using (463) and (468) yields: % 84.11/44.29 | (282) $false % 84.11/44.29 | % 84.11/44.29 |-The branch is then unsatisfiable % 84.11/44.29 |-Branch two: % 84.11/44.29 | (463) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0 % 84.11/44.29 | (580) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_1_1) = v3 & reverse_line(all_1_2_2) = v1 & unequally_directed_lines(all_1_2_2, v3) = v5 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | v5 = 0 | (v4 = 0 & all_23_0_8 = 0))) % 84.11/44.29 | % 84.11/44.29 | Instantiating (580) with all_557_0_646, all_557_1_647, all_557_2_648, all_557_3_649, all_557_4_650, all_557_5_651 yields: % 84.11/44.29 | (581) reverse_line(all_1_1_1) = all_557_2_648 & reverse_line(all_1_2_2) = all_557_4_650 & unequally_directed_lines(all_1_2_2, all_557_2_648) = all_557_0_646 & unequally_directed_lines(all_1_2_2, all_557_2_648) = all_557_1_647 & unequally_directed_lines(all_1_2_2, all_557_4_650) = all_557_3_649 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_557_5_651 & ( ~ (all_557_3_649 = 0) | ~ (all_557_5_651 = 0) | all_557_0_646 = 0 | (all_557_1_647 = 0 & all_23_0_8 = 0)) % 84.11/44.29 | % 84.11/44.29 | Applying alpha-rule on (581) yields: % 84.11/44.29 | (582) unequally_directed_lines(all_1_2_2, all_557_2_648) = all_557_0_646 % 84.11/44.29 | (583) unequally_directed_lines(all_1_2_2, all_557_2_648) = all_557_1_647 % 84.11/44.29 | (584) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_557_5_651 % 84.11/44.29 | (585) unequally_directed_lines(all_1_2_2, all_557_4_650) = all_557_3_649 % 84.11/44.29 | (586) ~ (all_557_3_649 = 0) | ~ (all_557_5_651 = 0) | all_557_0_646 = 0 | (all_557_1_647 = 0 & all_23_0_8 = 0) % 84.11/44.29 | (587) reverse_line(all_1_1_1) = all_557_2_648 % 84.11/44.29 | (588) reverse_line(all_1_2_2) = all_557_4_650 % 84.11/44.29 | % 84.11/44.29 +-Applying beta-rule and splitting (356), into two cases. % 84.11/44.29 |-Branch one: % 84.11/44.29 | (589) unequally_directed_lines(all_1_3_3, all_1_1_1) = 0 % 84.11/44.29 | % 84.11/44.29 +-Applying beta-rule and splitting (266), into two cases. % 84.11/44.29 |-Branch one: % 84.11/44.29 | (590) ~ (unequally_directed_lines(all_1_3_3, all_1_1_1) = 0) % 84.11/44.29 | % 84.11/44.29 | Using (589) and (590) yields: % 84.11/44.29 | (282) $false % 84.11/44.29 | % 84.11/44.29 |-The branch is then unsatisfiable % 84.11/44.29 |-Branch two: % 84.11/44.29 | (589) unequally_directed_lines(all_1_3_3, all_1_1_1) = 0 % 84.11/44.29 | (241) all_8_0_4 = 0 % 84.11/44.29 | % 84.11/44.29 | Equations (241) can reduce 204 to: % 84.11/44.29 | (242) $false % 84.11/44.29 | % 84.11/44.29 |-The branch is then unsatisfiable % 84.11/44.29 |-Branch two: % 84.11/44.29 | (590) ~ (unequally_directed_lines(all_1_3_3, all_1_1_1) = 0) % 84.11/44.29 | (596) all_23_0_8 = 0 % 84.11/44.29 | % 84.11/44.29 | From (596) and (224) follows: % 84.11/44.29 | (463) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0 % 84.11/44.29 | % 84.11/44.29 +-Applying beta-rule and splitting (292), into two cases. % 84.11/44.29 |-Branch one: % 84.11/44.29 | (468) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) % 84.11/44.29 | % 84.11/44.29 | Using (463) and (468) yields: % 84.11/44.29 | (282) $false % 84.11/44.29 | % 84.11/44.29 |-The branch is then unsatisfiable % 84.11/44.29 |-Branch two: % 84.11/44.29 | (463) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0 % 84.11/44.29 | (601) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_1_1) = v3 & reverse_line(all_1_2_2) = v1 & unequally_directed_lines(all_1_2_2, v3) = v5 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0 | (v5 = 0 & all_23_0_8 = 0))) % 84.11/44.29 | % 84.11/44.29 | Instantiating (601) with all_645_0_700, all_645_1_701, all_645_2_702, all_645_3_703, all_645_4_704, all_645_5_705 yields: % 84.11/44.29 | (602) reverse_line(all_1_1_1) = all_645_2_702 & reverse_line(all_1_2_2) = all_645_4_704 & unequally_directed_lines(all_1_2_2, all_645_2_702) = all_645_0_700 & unequally_directed_lines(all_1_2_2, all_645_2_702) = all_645_1_701 & unequally_directed_lines(all_1_2_2, all_645_4_704) = all_645_3_703 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_645_5_705 & ( ~ (all_645_3_703 = 0) | ~ (all_645_5_705 = 0) | all_645_1_701 = 0 | (all_645_0_700 = 0 & all_23_0_8 = 0)) % 84.11/44.29 | % 84.11/44.29 | Applying alpha-rule on (602) yields: % 84.11/44.29 | (603) ~ (all_645_3_703 = 0) | ~ (all_645_5_705 = 0) | all_645_1_701 = 0 | (all_645_0_700 = 0 & all_23_0_8 = 0) % 84.11/44.29 | (604) unequally_directed_lines(all_1_2_2, all_645_2_702) = all_645_1_701 % 84.11/44.29 | (605) reverse_line(all_1_2_2) = all_645_4_704 % 84.11/44.29 | (606) unequally_directed_lines(all_1_2_2, all_645_4_704) = all_645_3_703 % 84.11/44.30 | (607) reverse_line(all_1_1_1) = all_645_2_702 % 84.11/44.30 | (608) unequally_directed_lines(all_1_2_2, all_645_2_702) = all_645_0_700 % 84.11/44.30 | (609) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_645_5_705 % 84.11/44.30 | % 84.11/44.30 | Instantiating formula (1) with all_1_2_2, all_27_2_14, all_138_1_184, all_542_0_630 and discharging atoms left_convergent_lines(all_1_2_2, all_27_2_14) = all_138_1_184, yields: % 84.11/44.30 | (610) all_542_0_630 = all_138_1_184 | ~ (left_convergent_lines(all_1_2_2, all_27_2_14) = all_542_0_630) % 84.11/44.30 | % 84.11/44.30 | Instantiating formula (17) with all_1_1_1, all_1_2_2 yields: % 84.11/44.30 | (611) ~ (left_convergent_lines(all_1_2_2, all_1_1_1) = 0) % 84.11/44.30 | % 84.11/44.30 | Instantiating formula (1) with all_1_2_2, all_1_1_1, all_170_1_273, all_542_1_631 and discharging atoms left_convergent_lines(all_1_2_2, all_1_1_1) = all_542_1_631, left_convergent_lines(all_1_2_2, all_1_1_1) = all_170_1_273, yields: % 84.11/44.30 | (612) all_542_1_631 = all_170_1_273 % 84.11/44.30 | % 84.11/44.30 | Instantiating formula (101) with all_1_1_1, all_557_2_648, all_645_2_702 and discharging atoms reverse_line(all_1_1_1) = all_645_2_702, reverse_line(all_1_1_1) = all_557_2_648, yields: % 84.11/44.30 | (613) all_645_2_702 = all_557_2_648 % 84.11/44.30 | % 84.11/44.30 | Instantiating formula (101) with all_1_1_1, all_552_3_643, all_557_2_648 and discharging atoms reverse_line(all_1_1_1) = all_557_2_648, reverse_line(all_1_1_1) = all_552_3_643, yields: % 84.11/44.30 | (614) all_557_2_648 = all_552_3_643 % 84.11/44.30 | % 84.11/44.30 | Instantiating formula (101) with all_1_1_1, all_547_2_636, all_552_5_645 and discharging atoms reverse_line(all_1_1_1) = all_552_5_645, reverse_line(all_1_1_1) = all_547_2_636, yields: % 84.11/44.30 | (615) all_552_5_645 = all_547_2_636 % 84.11/44.30 | % 84.11/44.30 | Instantiating formula (101) with all_1_1_1, all_542_3_633, all_552_3_643 and discharging atoms reverse_line(all_1_1_1) = all_552_3_643, reverse_line(all_1_1_1) = all_542_3_633, yields: % 84.11/44.30 | (616) all_552_3_643 = all_542_3_633 % 84.11/44.30 | % 84.11/44.30 | Instantiating formula (101) with all_1_1_1, all_542_3_633, all_547_2_636 and discharging atoms reverse_line(all_1_1_1) = all_547_2_636, reverse_line(all_1_1_1) = all_542_3_633, yields: % 84.11/44.30 | (617) all_547_2_636 = all_542_3_633 % 84.11/44.30 | % 84.11/44.30 | Instantiating formula (192) with all_542_3_633, all_1_1_1, all_1_2_2 and discharging atoms reverse_line(all_1_1_1) = all_542_3_633, yields: % 84.11/44.30 | (618) ~ (left_convergent_lines(all_1_2_2, all_542_3_633) = 0) % 84.11/44.30 | % 84.11/44.30 | Instantiating formula (101) with all_1_1_1, all_532_4_628, all_552_5_645 and discharging atoms reverse_line(all_1_1_1) = all_552_5_645, reverse_line(all_1_1_1) = all_532_4_628, yields: % 84.11/44.30 | (619) all_552_5_645 = all_532_4_628 % 84.11/44.30 | % 84.11/44.30 | Instantiating formula (101) with all_1_1_1, all_527_3_621, all_547_2_636 and discharging atoms reverse_line(all_1_1_1) = all_547_2_636, reverse_line(all_1_1_1) = all_527_3_621, yields: % 84.11/44.30 | (620) all_547_2_636 = all_527_3_621 % 84.11/44.30 | % 84.11/44.30 | Instantiating formula (101) with all_1_1_1, all_522_5_617, all_527_3_621 and discharging atoms reverse_line(all_1_1_1) = all_527_3_621, reverse_line(all_1_1_1) = all_522_5_617, yields: % 84.11/44.30 | (621) all_527_3_621 = all_522_5_617 % 84.11/44.30 | % 84.11/44.30 | Instantiating formula (101) with all_1_1_1, all_517_5_611, all_522_5_617 and discharging atoms reverse_line(all_1_1_1) = all_522_5_617, reverse_line(all_1_1_1) = all_517_5_611, yields: % 84.11/44.30 | (622) all_522_5_617 = all_517_5_611 % 84.11/44.30 | % 84.11/44.30 | Instantiating formula (101) with all_1_1_1, all_512_5_605, all_645_2_702 and discharging atoms reverse_line(all_1_1_1) = all_645_2_702, reverse_line(all_1_1_1) = all_512_5_605, yields: % 84.11/44.30 | (623) all_645_2_702 = all_512_5_605 % 84.11/44.30 | % 84.11/44.30 | Instantiating formula (101) with all_1_1_1, all_502_2_595, all_27_2_14 and discharging atoms reverse_line(all_1_1_1) = all_502_2_595, reverse_line(all_1_1_1) = all_27_2_14, yields: % 84.11/44.30 | (624) all_502_2_595 = all_27_2_14 % 84.11/44.30 | % 84.11/44.30 | Instantiating formula (101) with all_1_1_1, all_502_2_595, all_517_5_611 and discharging atoms reverse_line(all_1_1_1) = all_517_5_611, reverse_line(all_1_1_1) = all_502_2_595, yields: % 84.11/44.30 | (625) all_517_5_611 = all_502_2_595 % 84.11/44.30 | % 84.11/44.30 | Instantiating formula (101) with all_1_1_1, all_450_3_556, all_517_5_611 and discharging atoms reverse_line(all_1_1_1) = all_517_5_611, reverse_line(all_1_1_1) = all_450_3_556, yields: % 84.11/44.30 | (626) all_517_5_611 = all_450_3_556 % 84.11/44.30 | % 84.11/44.30 | Instantiating formula (55) with all_1_2_2, all_27_2_14, all_517_4_610, 0 and discharging atoms unequally_directed_lines(all_1_2_2, all_27_2_14) = 0, yields: % 84.11/44.30 | (627) all_517_4_610 = 0 | ~ (unequally_directed_lines(all_1_2_2, all_27_2_14) = all_517_4_610) % 84.11/44.30 | % 84.11/44.30 | Instantiating formula (55) with all_1_2_2, all_517_5_611, all_517_4_610, all_542_2_632 and discharging atoms unequally_directed_lines(all_1_2_2, all_517_5_611) = all_517_4_610, yields: % 84.11/44.30 | (628) all_542_2_632 = all_517_4_610 | ~ (unequally_directed_lines(all_1_2_2, all_517_5_611) = all_542_2_632) % 84.11/44.30 | % 84.11/44.30 | Combining equations (613,623) yields a new equation: % 84.11/44.30 | (629) all_557_2_648 = all_512_5_605 % 84.11/44.30 | % 84.11/44.30 | Simplifying 629 yields: % 84.11/44.30 | (630) all_557_2_648 = all_512_5_605 % 84.11/44.30 | % 84.11/44.30 | Combining equations (614,630) yields a new equation: % 84.11/44.30 | (631) all_552_3_643 = all_512_5_605 % 84.11/44.30 | % 84.11/44.30 | Simplifying 631 yields: % 84.11/44.30 | (632) all_552_3_643 = all_512_5_605 % 84.11/44.30 | % 84.11/44.30 | Combining equations (616,632) yields a new equation: % 84.11/44.30 | (633) all_542_3_633 = all_512_5_605 % 84.11/44.30 | % 84.11/44.30 | Simplifying 633 yields: % 84.11/44.30 | (634) all_542_3_633 = all_512_5_605 % 84.11/44.30 | % 84.11/44.30 | Combining equations (615,619) yields a new equation: % 84.11/44.30 | (635) all_547_2_636 = all_532_4_628 % 84.11/44.30 | % 84.11/44.30 | Simplifying 635 yields: % 84.11/44.30 | (636) all_547_2_636 = all_532_4_628 % 84.11/44.30 | % 84.11/44.30 | Combining equations (617,636) yields a new equation: % 84.11/44.30 | (637) all_542_3_633 = all_532_4_628 % 84.11/44.30 | % 84.11/44.30 | Simplifying 637 yields: % 84.11/44.30 | (638) all_542_3_633 = all_532_4_628 % 84.11/44.30 | % 84.11/44.30 | Combining equations (620,636) yields a new equation: % 84.11/44.30 | (639) all_532_4_628 = all_527_3_621 % 84.11/44.30 | % 84.11/44.30 | Combining equations (638,634) yields a new equation: % 84.11/44.30 | (640) all_532_4_628 = all_512_5_605 % 84.11/44.30 | % 84.11/44.30 | Simplifying 640 yields: % 84.11/44.30 | (641) all_532_4_628 = all_512_5_605 % 84.11/44.30 | % 84.11/44.30 | Combining equations (639,641) yields a new equation: % 84.11/44.30 | (642) all_527_3_621 = all_512_5_605 % 84.11/44.30 | % 84.11/44.30 | Simplifying 642 yields: % 84.11/44.30 | (643) all_527_3_621 = all_512_5_605 % 84.11/44.30 | % 84.11/44.30 | Combining equations (621,643) yields a new equation: % 84.11/44.30 | (644) all_522_5_617 = all_512_5_605 % 84.11/44.30 | % 84.11/44.30 | Simplifying 644 yields: % 84.11/44.30 | (645) all_522_5_617 = all_512_5_605 % 84.11/44.30 | % 84.11/44.30 | Combining equations (622,645) yields a new equation: % 84.11/44.30 | (646) all_517_5_611 = all_512_5_605 % 84.11/44.30 | % 84.11/44.30 | Simplifying 646 yields: % 84.11/44.30 | (647) all_517_5_611 = all_512_5_605 % 84.11/44.30 | % 84.11/44.30 | Combining equations (625,647) yields a new equation: % 84.11/44.30 | (648) all_512_5_605 = all_502_2_595 % 84.11/44.30 | % 84.11/44.30 | Combining equations (626,647) yields a new equation: % 84.11/44.30 | (649) all_512_5_605 = all_450_3_556 % 84.11/44.30 | % 84.11/44.30 | Combining equations (648,649) yields a new equation: % 84.11/44.30 | (650) all_502_2_595 = all_450_3_556 % 84.11/44.30 | % 84.11/44.30 | Simplifying 650 yields: % 84.11/44.30 | (651) all_502_2_595 = all_450_3_556 % 84.11/44.30 | % 84.11/44.30 | Combining equations (651,624) yields a new equation: % 84.11/44.30 | (652) all_450_3_556 = all_27_2_14 % 84.11/44.30 | % 84.11/44.30 | Simplifying 652 yields: % 84.11/44.30 | (653) all_450_3_556 = all_27_2_14 % 84.11/44.30 | % 84.11/44.30 | Combining equations (653,649) yields a new equation: % 84.11/44.30 | (654) all_512_5_605 = all_27_2_14 % 84.11/44.30 | % 84.11/44.30 | Combining equations (654,647) yields a new equation: % 84.11/44.30 | (655) all_517_5_611 = all_27_2_14 % 84.11/44.30 | % 84.11/44.30 | Combining equations (654,634) yields a new equation: % 84.11/44.30 | (656) all_542_3_633 = all_27_2_14 % 84.11/44.30 | % 84.11/44.30 | From (656) and (548) follows: % 84.11/44.30 | (657) left_convergent_lines(all_1_2_2, all_27_2_14) = all_542_0_630 % 84.11/44.30 | % 84.11/44.30 | From (612) and (551) follows: % 84.11/44.30 | (336) left_convergent_lines(all_1_2_2, all_1_1_1) = all_170_1_273 % 84.11/44.30 | % 84.11/44.30 | From (656) and (552) follows: % 84.11/44.30 | (659) unequally_directed_lines(all_1_2_2, all_27_2_14) = all_542_2_632 % 84.11/44.30 | % 84.11/44.30 | From (655) and (499) follows: % 84.11/44.30 | (660) unequally_directed_lines(all_1_2_2, all_27_2_14) = all_517_4_610 % 84.11/44.30 | % 84.11/44.30 | From (656) and (618) follows: % 84.11/44.30 | (661) ~ (left_convergent_lines(all_1_2_2, all_27_2_14) = 0) % 84.11/44.30 | % 84.11/44.30 +-Applying beta-rule and splitting (610), into two cases. % 84.11/44.30 |-Branch one: % 84.11/44.30 | (662) ~ (left_convergent_lines(all_1_2_2, all_27_2_14) = all_542_0_630) % 84.11/44.30 | % 84.11/44.30 | Using (657) and (662) yields: % 84.11/44.30 | (282) $false % 84.11/44.30 | % 84.11/44.30 |-The branch is then unsatisfiable % 84.11/44.30 |-Branch two: % 84.11/44.30 | (657) left_convergent_lines(all_1_2_2, all_27_2_14) = all_542_0_630 % 84.11/44.30 | (665) all_542_0_630 = all_138_1_184 % 84.11/44.30 | % 84.11/44.30 | From (665) and (657) follows: % 84.11/44.30 | (331) left_convergent_lines(all_1_2_2, all_27_2_14) = all_138_1_184 % 84.11/44.30 | % 84.11/44.30 +-Applying beta-rule and splitting (627), into two cases. % 84.11/44.30 |-Branch one: % 84.11/44.30 | (667) ~ (unequally_directed_lines(all_1_2_2, all_27_2_14) = all_517_4_610) % 84.11/44.30 | % 84.11/44.30 | Using (660) and (667) yields: % 84.11/44.30 | (282) $false % 84.11/44.30 | % 84.11/44.30 |-The branch is then unsatisfiable % 84.11/44.30 |-Branch two: % 84.11/44.30 | (660) unequally_directed_lines(all_1_2_2, all_27_2_14) = all_517_4_610 % 84.11/44.30 | (670) all_517_4_610 = 0 % 84.11/44.30 | % 84.11/44.30 +-Applying beta-rule and splitting (628), into two cases. % 84.11/44.30 |-Branch one: % 84.11/44.30 | (671) ~ (unequally_directed_lines(all_1_2_2, all_517_5_611) = all_542_2_632) % 84.11/44.30 | % 84.11/44.30 | From (655) and (671) follows: % 84.11/44.30 | (672) ~ (unequally_directed_lines(all_1_2_2, all_27_2_14) = all_542_2_632) % 84.11/44.30 | % 84.11/44.30 | Using (659) and (672) yields: % 84.11/44.30 | (282) $false % 84.11/44.30 | % 84.11/44.30 |-The branch is then unsatisfiable % 84.11/44.30 |-Branch two: % 84.11/44.30 | (674) unequally_directed_lines(all_1_2_2, all_517_5_611) = all_542_2_632 % 84.11/44.31 | (675) all_542_2_632 = all_517_4_610 % 84.11/44.31 | % 84.11/44.31 | Combining equations (670,675) yields a new equation: % 84.11/44.31 | (676) all_542_2_632 = 0 % 84.11/44.31 | % 84.11/44.31 | Using (331) and (661) yields: % 84.11/44.31 | (677) ~ (all_138_1_184 = 0) % 84.11/44.31 | % 84.11/44.31 | Using (336) and (611) yields: % 84.11/44.31 | (678) ~ (all_170_1_273 = 0) % 84.11/44.31 | % 84.11/44.31 +-Applying beta-rule and splitting (550), into two cases. % 84.11/44.31 |-Branch one: % 84.11/44.31 | (679) ~ (all_542_2_632 = 0) % 84.11/44.31 | % 84.11/44.31 | Equations (676) can reduce 679 to: % 84.11/44.31 | (242) $false % 84.11/44.31 | % 84.11/44.31 |-The branch is then unsatisfiable % 84.11/44.31 |-Branch two: % 84.11/44.31 | (676) all_542_2_632 = 0 % 84.11/44.31 | (682) all_542_0_630 = 0 | all_542_1_631 = 0 % 84.11/44.31 | % 84.11/44.31 +-Applying beta-rule and splitting (682), into two cases. % 84.11/44.31 |-Branch one: % 84.11/44.31 | (683) all_542_0_630 = 0 % 84.11/44.31 | % 84.11/44.31 | Combining equations (665,683) yields a new equation: % 84.11/44.31 | (684) all_138_1_184 = 0 % 84.11/44.31 | % 84.11/44.31 | Simplifying 684 yields: % 84.11/44.31 | (685) all_138_1_184 = 0 % 84.11/44.31 | % 84.11/44.31 | Equations (685) can reduce 677 to: % 84.11/44.31 | (242) $false % 84.11/44.31 | % 84.11/44.31 |-The branch is then unsatisfiable % 84.11/44.31 |-Branch two: % 84.11/44.31 | (687) ~ (all_542_0_630 = 0) % 84.11/44.31 | (688) all_542_1_631 = 0 % 84.11/44.31 | % 84.11/44.31 | Combining equations (612,688) yields a new equation: % 84.11/44.31 | (689) all_170_1_273 = 0 % 84.11/44.31 | % 84.11/44.31 | Simplifying 689 yields: % 84.11/44.31 | (690) all_170_1_273 = 0 % 84.11/44.31 | % 84.11/44.31 | Equations (690) can reduce 678 to: % 84.11/44.31 | (242) $false % 84.11/44.31 | % 84.11/44.31 |-The branch is then unsatisfiable % 84.11/44.31 |-Branch two: % 84.11/44.31 | (468) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) % 84.11/44.31 | (241) all_8_0_4 = 0 % 84.11/44.31 | % 84.11/44.31 | Equations (241) can reduce 204 to: % 84.11/44.31 | (242) $false % 84.11/44.31 | % 84.11/44.31 |-The branch is then unsatisfiable % 84.11/44.31 |-Branch two: % 84.11/44.31 | (376) ~ (unequally_directed_lines(all_1_2_2, all_1_3_3) = 0) % 84.11/44.31 | (371) all_27_5_17 = 0 % 84.11/44.31 | % 84.11/44.31 | Equations (371) can reduce 274 to: % 84.11/44.31 | (242) $false % 84.11/44.31 | % 84.11/44.31 |-The branch is then unsatisfiable % 84.11/44.31 |-Branch two: % 84.11/44.31 | (340) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = 0) % 84.11/44.31 | (699) all_48_0_23 = 0 % 84.11/44.31 | % 84.11/44.31 | Equations (699) can reduce 260 to: % 84.11/44.31 | (242) $false % 84.11/44.31 | % 84.11/44.31 |-The branch is then unsatisfiable % 84.11/44.31 |-Branch two: % 84.11/44.31 | (701) ~ (unequally_directed_opposite_lines(all_1_2_2, all_1_1_1) = 0) % 84.11/44.31 | (702) all_1_0_0 = 0 % 84.11/44.31 | % 84.11/44.31 | Equations (702) can reduce 196 to: % 84.11/44.31 | (242) $false % 84.11/44.31 | % 84.11/44.31 |-The branch is then unsatisfiable % 84.11/44.31 % SZS output end Proof for theBenchmark % 84.11/44.31 % 84.11/44.31 43710ms %------------------------------------------------------------------------------