TSTP Solution File: GEO233+3 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : GEO233+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n032.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 03:49:02 EDT 2022
% Result : Theorem 47.21s 15.47s
% Output : Proof 67.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GEO233+3 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.09 % Command : ePrincess-casc -timeout=%d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Fri Jun 17 17:29:31 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.13/0.46 ____ _
% 0.13/0.46 ___ / __ \_____(_)___ ________ __________
% 0.13/0.46 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.13/0.46 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.13/0.46 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.13/0.46
% 0.13/0.46 A Theorem Prover for First-Order Logic
% 0.13/0.46 (ePrincess v.1.0)
% 0.13/0.46
% 0.13/0.46 (c) Philipp Rümmer, 2009-2015
% 0.13/0.46 (c) Peter Backeman, 2014-2015
% 0.13/0.46 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.13/0.46 Free software under GNU Lesser General Public License (LGPL).
% 0.13/0.46 Bug reports to peter@backeman.se
% 0.13/0.46
% 0.13/0.46 For more information, visit http://user.uu.se/~petba168/breu/
% 0.13/0.46
% 0.13/0.46 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.13/0.51 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.38/0.81 Prover 0: Preprocessing ...
% 2.17/1.09 Prover 0: Warning: ignoring some quantifiers
% 2.17/1.13 Prover 0: Constructing countermodel ...
% 18.60/5.80 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 18.75/5.85 Prover 1: Preprocessing ...
% 19.56/6.01 Prover 1: Constructing countermodel ...
% 19.56/6.06 Prover 1: gave up
% 19.56/6.06 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 19.88/6.09 Prover 2: Preprocessing ...
% 20.68/6.30 Prover 2: Warning: ignoring some quantifiers
% 20.68/6.31 Prover 2: Constructing countermodel ...
% 27.01/7.79 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 27.01/7.83 Prover 3: Preprocessing ...
% 27.40/7.87 Prover 3: Warning: ignoring some quantifiers
% 27.40/7.87 Prover 3: Constructing countermodel ...
% 39.71/13.40 Prover 3: gave up
% 39.71/13.40 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 39.71/13.43 Prover 4: Preprocessing ...
% 40.43/13.56 Prover 4: Warning: ignoring some quantifiers
% 40.51/13.57 Prover 4: Constructing countermodel ...
% 45.68/15.00 Prover 0: stopped
% 46.06/15.20 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 46.24/15.24 Prover 5: Preprocessing ...
% 46.48/15.35 Prover 5: Constructing countermodel ...
% 47.21/15.47 Prover 5: proved (266ms)
% 47.21/15.47 Prover 4: stopped
% 47.21/15.47 Prover 2: stopped
% 47.21/15.47
% 47.21/15.47 No countermodel exists, formula is valid
% 47.21/15.47 % SZS status Theorem for theBenchmark
% 47.21/15.47
% 47.21/15.47 Generating proof ... found it (size 362)
% 66.23/23.98
% 66.23/23.98 % SZS output start Proof for theBenchmark
% 66.23/23.98 Assumed formulas after preprocessing and simplification:
% 66.23/23.98 | (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_lines(v2, v0) = v3 & reverse_line(v1) = v2 & reverse_line(v0) = v1)
% 66.79/24.11 | Applying alpha-rule on (0) yields:
% 66.79/24.11 | (1) ! [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))
% 66.79/24.11 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (left_apart_point(v3, v2) = v1) | ~ (left_apart_point(v3, v2) = v0))
% 66.79/24.11 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v1, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | distinct_points(v0, v2) = 0)
% 66.79/24.11 | (4) ! [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)))
% 66.79/24.11 | (5) ! [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)))
% 66.79/24.11 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) = v0))
% 66.79/24.11 | (7) ! [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)))
% 66.79/24.11 | (8) ! [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)))
% 66.79/24.11 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (right_convergent_lines(v3, v2) = v1) | ~ (right_convergent_lines(v3, v2) = v0))
% 66.79/24.11 | (10) ! [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)))
% 66.79/24.11 | (11) ! [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))))))
% 66.79/24.11 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v0, v2) = v3) | ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v1, v2) = 0)
% 66.79/24.11 | (13) ! [v0] : ! [v1] : ( ~ (point(v1) = 0) | ~ (line(v0) = 0) | ? [v2] : (parallel_through_point(v0, v1) = v2 & line(v2) = 0))
% 66.79/24.11 | (14) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ( ~ (v3 = 0) & equally_directed_lines(v2, v0) = v3 & reverse_line(v1) = v2 & reverse_line(v0) = v1)
% 66.79/24.11 | (15) ! [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)))
% 66.79/24.11 | (16) ! [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)))
% 66.79/24.11 | (17) ! [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)))
% 66.79/24.11 | (18) ! [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)))
% 66.79/24.11 | (19) ! [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))))))
% 66.79/24.11 | (20) ! [v0] : ~ (distinct_points(v0, v0) = 0)
% 66.79/24.11 | (21) ! [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))))
% 66.79/24.11 | (22) ! [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)))
% 66.79/24.12 | (23) ! [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))))
% 66.79/24.12 | (24) ! [v0] : ! [v1] : ~ (left_apart_point(v0, v1) = 0)
% 66.79/24.12 | (25) ! [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)))
% 66.79/24.12 | (26) ! [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))))
% 66.79/24.12 | (27) ! [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)))
% 66.79/24.12 | (28) ! [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)))
% 66.79/24.12 | (29) ! [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)))
% 66.79/24.12 | (30) ! [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))
% 66.79/24.12 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = v3) | unequally_directed_lines(v0, v1) = 0)
% 66.79/24.12 | (32) ! [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)))
% 66.79/24.12 | (33) ! [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))))
% 66.79/24.12 | (34) ! [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)))
% 66.79/24.12 | (35) ! [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))))
% 66.79/24.12 | (36) ! [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)))
% 66.79/24.12 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ (apart_point_and_line(v3, v2) = v0))
% 66.79/24.12 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_convergent_lines(v0, v2) = v3) | ~ (left_convergent_lines(v0, v1) = 0) | unequally_directed_lines(v1, v2) = 0)
% 66.79/24.12 | (39) ! [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)))
% 66.79/24.12 | (40) ! [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)))
% 66.79/24.12 | (41) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (line(v2) = v1) | ~ (line(v2) = v0))
% 66.79/24.12 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0))
% 66.79/24.12 | (43) ! [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))
% 66.79/24.12 | (44) ! [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)))
% 66.79/24.12 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (left_convergent_lines(v3, v2) = v1) | ~ (left_convergent_lines(v3, v2) = v0))
% 66.79/24.12 | (46) ! [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))
% 66.79/24.12 | (47) ! [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))))
% 66.79/24.13 | (48) ! [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))
% 66.79/24.13 | (49) ! [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)))
% 66.79/24.13 | (50) ! [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)))
% 66.79/24.13 | (51) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_lines(v0, v1) = v2) | equally_directed_lines(v0, v1) = 0)
% 66.79/24.13 | (52) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equally_directed_lines(v0, v1) = v2) | unequally_directed_lines(v0, v1) = 0)
% 66.79/24.13 | (53) ! [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))))
% 66.79/24.13 | (54) ! [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)))
% 66.79/24.13 | (55) ! [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)))
% 66.79/24.13 | (56) ! [v0] : ! [v1] : ( ~ (unequally_directed_opposite_lines(v0, v1) = 0) | ? [v2] : (reverse_line(v1) = v2 & unequally_directed_lines(v0, v2) = 0))
% 66.79/24.13 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equally_directed_lines(v3, v2) = v1) | ~ (equally_directed_lines(v3, v2) = v0))
% 66.79/24.13 | (58) ! [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)))))
% 66.79/24.13 | (59) ! [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)))
% 66.79/24.13 | (60) ! [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)))
% 66.79/24.13 | (61) ! [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))))
% 66.79/24.13 | (62) ! [v0] : ! [v1] : ( ~ (unequally_directed_opposite_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equally_directed_opposite_lines(v0, v1) = v2))
% 66.79/24.13 | (63) ! [v0] : ! [v1] : ( ~ (equally_directed_opposite_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & unequally_directed_opposite_lines(v0, v1) = v2))
% 66.79/24.13 | (64) ! [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)))
% 66.79/24.13 | (65) ! [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)))
% 66.79/24.13 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0))
% 66.79/24.13 | (67) ! [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)))
% 66.79/24.13 | (68) ! [v0] : ! [v1] : ~ (left_convergent_lines(v0, v1) = 0)
% 66.79/24.13 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_convergent_lines(v0, v1) = 0) | ~ (unequally_directed_lines(v1, v2) = v3) | left_convergent_lines(v0, v2) = 0)
% 66.79/24.13 | (70) ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | equally_directed_lines(v2, v1) = 0)
% 66.79/24.13 | (71) ! [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)))
% 66.79/24.13 | (72) ! [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)))
% 66.79/24.13 | (73) ! [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))
% 66.79/24.13 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (before_on_line(v4, v3, v2) = v1) | ~ (before_on_line(v4, v3, v2) = v0))
% 66.79/24.13 | (75) ! [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)))
% 66.79/24.13 | (76) ! [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))))
% 66.79/24.13 | (77) ! [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))))
% 66.79/24.14 | (78) ! [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)))
% 66.79/24.14 | (79) ! [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)))
% 66.79/24.14 | (80) ! [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)))
% 66.79/24.14 | (81) ! [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))
% 66.79/24.14 | (82) ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | (unequally_directed_lines(v0, v1) = 0 & unequally_directed_opposite_lines(v0, v1) = 0))
% 66.79/24.14 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (incident_point_and_line(v3, v2) = v1) | ~ (incident_point_and_line(v3, v2) = v0))
% 66.79/24.14 | (84) ! [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))))
% 66.79/24.14 | (85) ! [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)))))
% 66.79/24.14 | (86) ! [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)))))
% 66.79/24.14 | (87) ! [v0] : ! [v1] : ! [v2] : ( ~ (left_apart_point(v0, v2) = 0) | ~ (reverse_line(v1) = v2))
% 66.79/24.14 | (88) ! [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)))
% 66.79/24.14 | (89) ! [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)))
% 66.79/24.14 | (90) ! [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)))
% 67.04/24.14 | (91) ! [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))))
% 67.04/24.14 | (92) ! [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))))))
% 67.04/24.14 | (93) ! [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)))
% 67.04/24.14 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ (convergent_lines(v3, v2) = v0))
% 67.04/24.14 | (95) ! [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)))
% 67.04/24.14 | (96) ! [v0] : ! [v1] : (v1 = 0 | ~ (equally_directed_lines(v0, v0) = v1))
% 67.04/24.14 | (97) ! [v0] : ! [v1] : ! [v2] : ( ~ (left_apart_point(v0, v2) = 0) | ~ (reverse_line(v1) = v2) | right_apart_point(v0, v1) = 0)
% 67.04/24.14 | (98) ! [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)))
% 67.04/24.14 | (99) ! [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)))
% 67.04/24.14 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unequally_directed_lines(v1, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | unequally_directed_lines(v0, v2) = 0)
% 67.04/24.14 | (101) ! [v0] : ( ~ (line(v0) = 0) | ? [v1] : (line(v1) = 0 & reverse_line(v0) = v1))
% 67.04/24.14 | (102) ! [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)))
% 67.04/24.14 | (103) ! [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))))
% 67.04/24.14 | (104) ! [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)))
% 67.04/24.14 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~ (parallel_through_point(v3, v2) = v0))
% 67.04/24.14 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equally_directed_opposite_lines(v3, v2) = v1) | ~ (equally_directed_opposite_lines(v3, v2) = v0))
% 67.04/24.14 | (107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (divides_points(v4, v3, v2) = v1) | ~ (divides_points(v4, v3, v2) = v0))
% 67.04/24.14 | (108) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_opposite_lines(v0, v1) = v2) | equally_directed_opposite_lines(v0, v1) = 0)
% 67.04/24.15 | (109) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equally_directed_opposite_lines(v0, v1) = v2) | unequally_directed_opposite_lines(v0, v1) = 0)
% 67.04/24.15 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v0, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | distinct_points(v1, v2) = 0)
% 67.04/24.15 | (111) ! [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))))
% 67.04/24.15 | (112) ! [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))))
% 67.04/24.15 | (113) ! [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)))))
% 67.04/24.15 | (114) ! [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))))
% 67.04/24.15 | (115) ! [v0] : ! [v1] : ! [v2] : ( ~ (left_convergent_lines(v0, v2) = 0) | ~ (reverse_line(v1) = v2))
% 67.04/24.15 | (116) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (point(v2) = v1) | ~ (point(v2) = v0))
% 67.04/24.15 | (117) ! [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)))
% 67.04/24.15 | (118) ! [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))
% 67.04/24.15 | (119) ! [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))
% 67.04/24.15 | (120) ! [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))))
% 67.04/24.15 | (121) ! [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)))
% 67.04/24.15 | (122) ! [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)))
% 67.04/24.15 | (123) ! [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))))))
% 67.04/24.15 | (124) ! [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))
% 67.04/24.15 | (125) ! [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))
% 67.04/24.15 | (126) ! [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))))
% 67.04/24.15 | (127) ! [v0] : ~ (distinct_lines(v0, v0) = 0)
% 67.04/24.15 | (128) ! [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))))
% 67.04/24.15 | (129) ! [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))))
% 67.04/24.15 | (130) ! [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)))
% 67.04/24.15 | (131) ! [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))
% 67.04/24.15 | (132) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unequally_directed_opposite_lines(v3, v2) = v1) | ~ (unequally_directed_opposite_lines(v3, v2) = v0))
% 67.04/24.15 | (133) ! [v0] : ! [v1] : ! [v2] : ( ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = 0) | unequally_directed_opposite_lines(v0, v1) = 0)
% 67.04/24.15 | (134) ! [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)))
% 67.11/24.15 | (135) ! [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))))))
% 67.11/24.15 | (136) ! [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)))
% 67.11/24.15 | (137) ! [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))))))
% 67.11/24.15 | (138) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v0, v1) = v3) | ~ (left_apart_point(v0, v2) = 0) | left_apart_point(v1, v2) = 0)
% 67.11/24.15 | (139) ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equally_directed_lines(v0, v1) = v2))
% 67.11/24.16 | (140) ! [v0] : ! [v1] : ( ~ (equally_directed_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & unequally_directed_lines(v0, v1) = v2))
% 67.11/24.16 | (141) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unequally_directed_lines(v0, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | unequally_directed_lines(v1, v2) = 0)
% 67.11/24.16 | (142) ! [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)))
% 67.11/24.16 | (143) ! [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)))
% 67.11/24.16 | (144) ! [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))))
% 67.11/24.16 | (145) ! [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))))
% 67.11/24.16 | (146) ! [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))))
% 67.11/24.16 | (147) ! [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))))
% 67.11/24.16 | (148) ! [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))
% 67.11/24.16 | (149) ! [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))
% 67.11/24.16 | (150) ! [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))))))
% 67.11/24.16 | (151) ! [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))
% 67.11/24.16 | (152) ! [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)))
% 67.11/24.16 | (153) ! [v0] : ! [v1] : ( ~ (right_apart_point(v0, v1) = 0) | ? [v2] : (left_apart_point(v0, v2) = 0 & reverse_line(v1) = v2))
% 67.11/24.16 | (154) ! [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))
% 67.11/24.16 | (155) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_lines(v0, v1) = v2) | ? [v3] : (reverse_line(v1) = v3 & unequally_directed_lines(v0, v3) = 0))
% 67.11/24.16 | (156) ! [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))
% 67.11/24.16 | (157) ! [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))))))
% 67.11/24.16 | (158) ! [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)))
% 67.11/24.16 | (159) ! [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))
% 67.11/24.16 | (160) ! [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)))
% 67.11/24.16 | (161) ! [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)))
% 67.11/24.16 | (162) ! [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)))
% 67.11/24.16 | (163) ! [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))))
% 67.11/24.16 | (164) ! [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)))
% 67.11/24.16 | (165) ! [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)))
% 67.11/24.16 | (166) ! [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)))
% 67.11/24.16 | (167) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (right_apart_point(v3, v2) = v1) | ~ (right_apart_point(v3, v2) = v0))
% 67.11/24.16 | (168) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0))
% 67.11/24.16 | (169) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (reverse_line(v2) = v1) | ~ (reverse_line(v2) = v0))
% 67.11/24.16 | (170) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (between_on_line(v5, v4, v3, v2) = v1) | ~ (between_on_line(v5, v4, v3, v2) = v0))
% 67.11/24.16 | (171) ! [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)))
% 67.11/24.16 | (172) ! [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)))
% 67.11/24.17 | (173) ! [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)))
% 67.11/24.17 | (174) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v1, v2) = v3) | ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v0, v2) = 0)
% 67.11/24.17 | (175) ! [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)))
% 67.11/24.17 | (176) ! [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))))
% 67.11/24.17 | (177) ! [v0] : ! [v1] : ! [v2] : ( ~ (left_convergent_lines(v0, v2) = 0) | ~ (reverse_line(v1) = v2) | right_convergent_lines(v0, v1) = 0)
% 67.11/24.17 | (178) ! [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)))
% 67.11/24.17 | (179) ! [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)))
% 67.11/24.17 | (180) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_apart_point(v1, v2) = v3) | ~ (left_apart_point(v0, v2) = 0) | distinct_points(v0, v1) = 0)
% 67.11/24.17 | (181) ! [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)))
% 67.11/24.17 | (182) ! [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))
% 67.11/24.17 | (183) ! [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))))
% 67.11/24.17 | (184) ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & apart_point_and_line(v0, v2) = v3))
% 67.11/24.17 | (185) ! [v0] : ! [v1] : ( ~ (reverse_line(v0) = v1) | ? [v2] : ? [v3] : (line(v1) = v3 & line(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 67.11/24.17 | (186) ! [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)))))
% 67.11/24.17 | (187) ! [v0] : ! [v1] : ( ~ (right_convergent_lines(v0, v1) = 0) | ? [v2] : (left_convergent_lines(v0, v2) = 0 & reverse_line(v1) = v2))
% 67.11/24.17 | (188) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unequally_directed_lines(v3, v2) = v1) | ~ (unequally_directed_lines(v3, v2) = v0))
% 67.11/24.17 | (189) ! [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))))
% 67.11/24.17 | (190) ! [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)))))
% 67.11/24.17 | (191) ! [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)))
% 67.11/24.17 | (192) ! [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))))
% 67.11/24.17 | (193) ! [v0] : ! [v1] : ( ~ (reverse_line(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & distinct_lines(v0, v1) = v2))
% 67.11/24.17 | (194) ! [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))))
% 67.11/24.17 |
% 67.11/24.17 | Instantiating (14) with all_1_0_0, all_1_1_1, all_1_2_2, all_1_3_3 yields:
% 67.11/24.17 | (195) ~ (all_1_0_0 = 0) & equally_directed_lines(all_1_1_1, all_1_3_3) = all_1_0_0 & reverse_line(all_1_2_2) = all_1_1_1 & reverse_line(all_1_3_3) = all_1_2_2
% 67.11/24.17 |
% 67.11/24.17 | Applying alpha-rule on (195) yields:
% 67.11/24.17 | (196) ~ (all_1_0_0 = 0)
% 67.11/24.17 | (197) equally_directed_lines(all_1_1_1, all_1_3_3) = all_1_0_0
% 67.11/24.17 | (198) reverse_line(all_1_2_2) = all_1_1_1
% 67.11/24.17 | (199) reverse_line(all_1_3_3) = all_1_2_2
% 67.11/24.17 |
% 67.11/24.17 | Instantiating formula (52) with all_1_0_0, all_1_3_3, all_1_1_1 and discharging atoms equally_directed_lines(all_1_1_1, all_1_3_3) = all_1_0_0, yields:
% 67.11/24.17 | (200) all_1_0_0 = 0 | unequally_directed_lines(all_1_1_1, all_1_3_3) = 0
% 67.11/24.17 |
% 67.11/24.17 +-Applying beta-rule and splitting (200), into two cases.
% 67.11/24.17 |-Branch one:
% 67.11/24.17 | (201) unequally_directed_lines(all_1_1_1, all_1_3_3) = 0
% 67.11/24.17 |
% 67.11/24.17 | Instantiating formula (76) with 0, all_1_1_1, all_1_3_3, all_1_2_2, all_1_1_1 and discharging atoms reverse_line(all_1_2_2) = all_1_1_1, unequally_directed_lines(all_1_1_1, all_1_3_3) = 0, yields:
% 67.11/24.18 | (202) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_3_3) = v2 & unequally_directed_lines(all_1_1_1, v2) = v3 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v1 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_1_3_3) = v4 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | (v5 = 0 & v4 = 0)))
% 67.11/24.18 |
% 67.11/24.18 | Instantiating formula (76) with 0, all_1_2_2, all_1_3_3, all_1_3_3, all_1_1_1 and discharging atoms reverse_line(all_1_3_3) = all_1_2_2, unequally_directed_lines(all_1_1_1, all_1_3_3) = 0, yields:
% 67.11/24.18 | (203) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_3_3) = v2 & unequally_directed_lines(all_1_1_1, v2) = v3 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v1 & unequally_directed_lines(all_1_1_1, all_1_3_3) = v0 & unequally_directed_lines(all_1_3_3, v2) = v5 & unequally_directed_lines(all_1_3_3, all_1_3_3) = v4 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | (v5 = 0 & v4 = 0)))
% 67.11/24.18 |
% 67.11/24.18 | Instantiating formula (23) with 0, 0, all_1_3_3, all_1_1_1, all_1_1_1 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_3_3) = 0, yields:
% 67.11/24.18 | (204) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_1_1) = v1 & reverse_line(all_1_3_3) = v3 & unequally_directed_lines(all_1_1_1, v3) = v5 & unequally_directed_lines(all_1_1_1, v3) = v4 & unequally_directed_lines(all_1_1_1, v1) = v2 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | v5 = 0 | v4 = 0))
% 67.11/24.18 |
% 67.11/24.18 | Instantiating formula (114) with 0, all_1_3_3, all_1_3_3, all_1_1_1 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_3_3) = 0, yields:
% 67.11/24.18 | (205) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_3_3) = v2 & reverse_line(all_1_3_3) = v0 & unequally_directed_lines(all_1_1_1, v2) = v3 & unequally_directed_lines(all_1_1_1, v0) = v1 & unequally_directed_lines(all_1_3_3, v2) = v5 & unequally_directed_lines(all_1_3_3, all_1_3_3) = v4 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0)))
% 67.11/24.18 |
% 67.11/24.18 | Instantiating formula (126) with all_1_1_1, all_1_2_2, all_1_3_3, all_1_1_1 and discharging atoms reverse_line(all_1_2_2) = all_1_1_1, unequally_directed_lines(all_1_1_1, all_1_3_3) = 0, yields:
% 67.11/24.18 | (206) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_3_3) = v0 & unequally_directed_lines(all_1_1_1, v0) = v1 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v3 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v2 & unequally_directed_lines(all_1_3_3, all_1_1_1) = v5 & unequally_directed_lines(all_1_3_3, all_1_2_2) = v4 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0)))
% 67.11/24.18 |
% 67.11/24.18 | Instantiating formula (126) with all_1_2_2, all_1_3_3, all_1_3_3, all_1_1_1 and discharging atoms reverse_line(all_1_3_3) = all_1_2_2, unequally_directed_lines(all_1_1_1, all_1_3_3) = 0, yields:
% 67.11/24.18 | (207) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_3_3) = v0 & unequally_directed_lines(all_1_1_1, v0) = v1 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v3 & unequally_directed_lines(all_1_1_1, all_1_3_3) = v2 & unequally_directed_lines(all_1_3_3, all_1_2_2) = v5 & unequally_directed_lines(all_1_3_3, all_1_3_3) = v4 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0)))
% 67.11/24.18 |
% 67.11/24.18 | Instantiating formula (50) with all_1_3_3, all_1_1_1 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_3_3) = 0, yields:
% 67.11/24.18 | (208) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (intersection_point(all_1_1_1, all_1_3_3) = v4 & point(v4) = v5 & line(all_1_1_1) = v0 & line(all_1_3_3) = v1 & reverse_line(all_1_3_3) = v2 & unequally_directed_lines(all_1_1_1, v2) = v3 & ( ~ (v3 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 67.11/24.18 |
% 67.11/24.18 | Instantiating formula (190) with all_1_3_3, all_1_1_1 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_3_3) = 0, yields:
% 67.11/24.18 | (209) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection_point(all_1_1_1, all_1_3_3) = v2 & apart_point_and_line(v2, all_1_1_1) = v3 & apart_point_and_line(v2, all_1_3_3) = v4 & reverse_line(all_1_3_3) = v0 & unequally_directed_lines(all_1_1_1, v0) = v1 & ( ~ (v1 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0))))
% 67.11/24.18 |
% 67.11/24.18 | Instantiating formula (28) with all_1_3_3, all_1_1_1 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_3_3) = 0, yields:
% 67.11/24.18 | (210) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (left_convergent_lines(all_1_1_1, v0) = v3 & left_convergent_lines(all_1_1_1, all_1_3_3) = v2 & reverse_line(all_1_3_3) = v0 & unequally_directed_lines(all_1_1_1, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | v2 = 0))
% 67.11/24.18 |
% 67.11/24.18 | Instantiating (210) with all_35_0_12, all_35_1_13, all_35_2_14, all_35_3_15 yields:
% 67.11/24.18 | (211) left_convergent_lines(all_1_1_1, all_35_3_15) = all_35_0_12 & left_convergent_lines(all_1_1_1, all_1_3_3) = all_35_1_13 & reverse_line(all_1_3_3) = all_35_3_15 & unequally_directed_lines(all_1_1_1, all_35_3_15) = all_35_2_14 & ( ~ (all_35_2_14 = 0) | all_35_0_12 = 0 | all_35_1_13 = 0)
% 67.11/24.18 |
% 67.11/24.18 | Applying alpha-rule on (211) yields:
% 67.11/24.18 | (212) unequally_directed_lines(all_1_1_1, all_35_3_15) = all_35_2_14
% 67.11/24.18 | (213) left_convergent_lines(all_1_1_1, all_35_3_15) = all_35_0_12
% 67.11/24.18 | (214) ~ (all_35_2_14 = 0) | all_35_0_12 = 0 | all_35_1_13 = 0
% 67.11/24.18 | (215) reverse_line(all_1_3_3) = all_35_3_15
% 67.11/24.18 | (216) left_convergent_lines(all_1_1_1, all_1_3_3) = all_35_1_13
% 67.11/24.18 |
% 67.11/24.18 | Instantiating (206) with all_37_0_16, all_37_1_17, all_37_2_18, all_37_3_19, all_37_4_20, all_37_5_21 yields:
% 67.11/24.18 | (217) reverse_line(all_1_3_3) = all_37_5_21 & unequally_directed_lines(all_1_1_1, all_37_5_21) = all_37_4_20 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_37_2_18 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_37_3_19 & unequally_directed_lines(all_1_3_3, all_1_1_1) = all_37_0_16 & unequally_directed_lines(all_1_3_3, all_1_2_2) = all_37_1_17 & ( ~ (all_37_4_20 = 0) | (all_37_0_16 = 0 & all_37_1_17 = 0) | (all_37_2_18 = 0 & all_37_3_19 = 0))
% 67.11/24.18 |
% 67.11/24.18 | Applying alpha-rule on (217) yields:
% 67.11/24.18 | (218) unequally_directed_lines(all_1_3_3, all_1_1_1) = all_37_0_16
% 67.11/24.18 | (219) unequally_directed_lines(all_1_1_1, all_37_5_21) = all_37_4_20
% 67.11/24.18 | (220) unequally_directed_lines(all_1_3_3, all_1_2_2) = all_37_1_17
% 67.11/24.18 | (221) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_37_2_18
% 67.11/24.18 | (222) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_37_3_19
% 67.11/24.18 | (223) ~ (all_37_4_20 = 0) | (all_37_0_16 = 0 & all_37_1_17 = 0) | (all_37_2_18 = 0 & all_37_3_19 = 0)
% 67.11/24.18 | (224) reverse_line(all_1_3_3) = all_37_5_21
% 67.11/24.18 |
% 67.11/24.18 | Instantiating (202) with all_39_0_22, all_39_1_23, all_39_2_24, all_39_3_25, all_39_4_26, all_39_5_27 yields:
% 67.11/24.18 | (225) reverse_line(all_1_3_3) = all_39_3_25 & unequally_directed_lines(all_1_1_1, all_39_3_25) = all_39_2_24 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_39_4_26 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_39_5_27 & unequally_directed_lines(all_1_2_2, all_39_3_25) = all_39_0_22 & unequally_directed_lines(all_1_2_2, all_1_3_3) = all_39_1_23 & ( ~ (all_39_4_26 = 0) | ~ (all_39_5_27 = 0) | all_39_2_24 = 0 | (all_39_0_22 = 0 & all_39_1_23 = 0))
% 67.11/24.18 |
% 67.11/24.18 | Applying alpha-rule on (225) yields:
% 67.11/24.18 | (226) reverse_line(all_1_3_3) = all_39_3_25
% 67.11/24.18 | (227) unequally_directed_lines(all_1_1_1, all_39_3_25) = all_39_2_24
% 67.11/24.18 | (228) unequally_directed_lines(all_1_2_2, all_1_3_3) = all_39_1_23
% 67.11/24.18 | (229) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_39_4_26
% 67.11/24.18 | (230) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_39_5_27
% 67.11/24.18 | (231) ~ (all_39_4_26 = 0) | ~ (all_39_5_27 = 0) | all_39_2_24 = 0 | (all_39_0_22 = 0 & all_39_1_23 = 0)
% 67.11/24.18 | (232) unequally_directed_lines(all_1_2_2, all_39_3_25) = all_39_0_22
% 67.11/24.18 |
% 67.11/24.18 | Instantiating (205) with all_41_0_28, all_41_1_29, all_41_2_30, all_41_3_31, all_41_4_32, all_41_5_33 yields:
% 67.11/24.18 | (233) reverse_line(all_1_3_3) = all_41_3_31 & reverse_line(all_1_3_3) = all_41_5_33 & unequally_directed_lines(all_1_1_1, all_41_3_31) = all_41_2_30 & unequally_directed_lines(all_1_1_1, all_41_5_33) = all_41_4_32 & unequally_directed_lines(all_1_3_3, all_41_3_31) = all_41_0_28 & unequally_directed_lines(all_1_3_3, all_1_3_3) = all_41_1_29 & ( ~ (all_41_4_32 = 0) | all_41_2_30 = 0 | (all_41_0_28 = 0 & all_41_1_29 = 0))
% 67.11/24.18 |
% 67.11/24.18 | Applying alpha-rule on (233) yields:
% 67.11/24.18 | (234) unequally_directed_lines(all_1_3_3, all_41_3_31) = all_41_0_28
% 67.11/24.18 | (235) reverse_line(all_1_3_3) = all_41_5_33
% 67.11/24.18 | (236) ~ (all_41_4_32 = 0) | all_41_2_30 = 0 | (all_41_0_28 = 0 & all_41_1_29 = 0)
% 67.11/24.18 | (237) reverse_line(all_1_3_3) = all_41_3_31
% 67.11/24.18 | (238) unequally_directed_lines(all_1_1_1, all_41_5_33) = all_41_4_32
% 67.11/24.18 | (239) unequally_directed_lines(all_1_3_3, all_1_3_3) = all_41_1_29
% 67.11/24.18 | (240) unequally_directed_lines(all_1_1_1, all_41_3_31) = all_41_2_30
% 67.11/24.18 |
% 67.11/24.18 | Instantiating (204) with all_43_0_34, all_43_1_35, all_43_2_36, all_43_3_37, all_43_4_38, all_43_5_39 yields:
% 67.11/24.18 | (241) reverse_line(all_1_1_1) = all_43_4_38 & reverse_line(all_1_3_3) = all_43_2_36 & unequally_directed_lines(all_1_1_1, all_43_2_36) = all_43_0_34 & unequally_directed_lines(all_1_1_1, all_43_2_36) = all_43_1_35 & unequally_directed_lines(all_1_1_1, all_43_4_38) = all_43_3_37 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_43_5_39 & ( ~ (all_43_3_37 = 0) | ~ (all_43_5_39 = 0) | all_43_0_34 = 0 | all_43_1_35 = 0)
% 67.11/24.18 |
% 67.11/24.18 | Applying alpha-rule on (241) yields:
% 67.11/24.18 | (242) reverse_line(all_1_1_1) = all_43_4_38
% 67.11/24.18 | (243) ~ (all_43_3_37 = 0) | ~ (all_43_5_39 = 0) | all_43_0_34 = 0 | all_43_1_35 = 0
% 67.11/24.18 | (244) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_43_5_39
% 67.11/24.18 | (245) unequally_directed_lines(all_1_1_1, all_43_4_38) = all_43_3_37
% 67.11/24.18 | (246) unequally_directed_lines(all_1_1_1, all_43_2_36) = all_43_1_35
% 67.11/24.18 | (247) unequally_directed_lines(all_1_1_1, all_43_2_36) = all_43_0_34
% 67.11/24.18 | (248) reverse_line(all_1_3_3) = all_43_2_36
% 67.11/24.18 |
% 67.11/24.18 | Instantiating (203) with all_45_0_40, all_45_1_41, all_45_2_42, all_45_3_43, all_45_4_44, all_45_5_45 yields:
% 67.11/24.18 | (249) reverse_line(all_1_3_3) = all_45_3_43 & unequally_directed_lines(all_1_1_1, all_45_3_43) = all_45_2_42 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_45_4_44 & unequally_directed_lines(all_1_1_1, all_1_3_3) = all_45_5_45 & unequally_directed_lines(all_1_3_3, all_45_3_43) = all_45_0_40 & unequally_directed_lines(all_1_3_3, all_1_3_3) = all_45_1_41 & ( ~ (all_45_4_44 = 0) | ~ (all_45_5_45 = 0) | all_45_2_42 = 0 | (all_45_0_40 = 0 & all_45_1_41 = 0))
% 67.11/24.18 |
% 67.11/24.18 | Applying alpha-rule on (249) yields:
% 67.11/24.18 | (250) unequally_directed_lines(all_1_3_3, all_1_3_3) = all_45_1_41
% 67.11/24.18 | (251) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_45_4_44
% 67.11/24.18 | (252) ~ (all_45_4_44 = 0) | ~ (all_45_5_45 = 0) | all_45_2_42 = 0 | (all_45_0_40 = 0 & all_45_1_41 = 0)
% 67.11/24.18 | (253) unequally_directed_lines(all_1_1_1, all_45_3_43) = all_45_2_42
% 67.11/24.18 | (254) unequally_directed_lines(all_1_1_1, all_1_3_3) = all_45_5_45
% 67.11/24.18 | (255) unequally_directed_lines(all_1_3_3, all_45_3_43) = all_45_0_40
% 67.11/24.18 | (256) reverse_line(all_1_3_3) = all_45_3_43
% 67.11/24.18 |
% 67.11/24.18 | Instantiating (209) with all_47_0_46, all_47_1_47, all_47_2_48, all_47_3_49, all_47_4_50 yields:
% 67.11/24.18 | (257) intersection_point(all_1_1_1, all_1_3_3) = all_47_2_48 & apart_point_and_line(all_47_2_48, all_1_1_1) = all_47_1_47 & apart_point_and_line(all_47_2_48, all_1_3_3) = all_47_0_46 & reverse_line(all_1_3_3) = all_47_4_50 & unequally_directed_lines(all_1_1_1, all_47_4_50) = all_47_3_49 & ( ~ (all_47_3_49 = 0) | ( ~ (all_47_0_46 = 0) & ~ (all_47_1_47 = 0)))
% 67.11/24.18 |
% 67.11/24.18 | Applying alpha-rule on (257) yields:
% 67.11/24.18 | (258) unequally_directed_lines(all_1_1_1, all_47_4_50) = all_47_3_49
% 67.11/24.18 | (259) reverse_line(all_1_3_3) = all_47_4_50
% 67.11/24.19 | (260) intersection_point(all_1_1_1, all_1_3_3) = all_47_2_48
% 67.11/24.19 | (261) apart_point_and_line(all_47_2_48, all_1_1_1) = all_47_1_47
% 67.11/24.19 | (262) ~ (all_47_3_49 = 0) | ( ~ (all_47_0_46 = 0) & ~ (all_47_1_47 = 0))
% 67.11/24.19 | (263) apart_point_and_line(all_47_2_48, all_1_3_3) = all_47_0_46
% 67.11/24.19 |
% 67.11/24.19 | Instantiating (208) with all_51_0_53, all_51_1_54, all_51_2_55, all_51_3_56, all_51_4_57, all_51_5_58 yields:
% 67.11/24.19 | (264) intersection_point(all_1_1_1, all_1_3_3) = all_51_1_54 & point(all_51_1_54) = all_51_0_53 & line(all_1_1_1) = all_51_5_58 & line(all_1_3_3) = all_51_4_57 & reverse_line(all_1_3_3) = all_51_3_56 & unequally_directed_lines(all_1_1_1, all_51_3_56) = all_51_2_55 & ( ~ (all_51_2_55 = 0) | ~ (all_51_4_57 = 0) | ~ (all_51_5_58 = 0) | all_51_0_53 = 0)
% 67.11/24.19 |
% 67.11/24.19 | Applying alpha-rule on (264) yields:
% 67.11/24.19 | (265) reverse_line(all_1_3_3) = all_51_3_56
% 67.11/24.19 | (266) intersection_point(all_1_1_1, all_1_3_3) = all_51_1_54
% 67.11/24.19 | (267) ~ (all_51_2_55 = 0) | ~ (all_51_4_57 = 0) | ~ (all_51_5_58 = 0) | all_51_0_53 = 0
% 67.11/24.19 | (268) point(all_51_1_54) = all_51_0_53
% 67.11/24.19 | (269) unequally_directed_lines(all_1_1_1, all_51_3_56) = all_51_2_55
% 67.11/24.19 | (270) line(all_1_1_1) = all_51_5_58
% 67.11/24.19 | (271) line(all_1_3_3) = all_51_4_57
% 67.11/24.19 |
% 67.11/24.19 | Instantiating (207) with all_53_0_59, all_53_1_60, all_53_2_61, all_53_3_62, all_53_4_63, all_53_5_64 yields:
% 67.11/24.19 | (272) reverse_line(all_1_3_3) = all_53_5_64 & unequally_directed_lines(all_1_1_1, all_53_5_64) = all_53_4_63 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_53_2_61 & unequally_directed_lines(all_1_1_1, all_1_3_3) = all_53_3_62 & unequally_directed_lines(all_1_3_3, all_1_2_2) = all_53_0_59 & unequally_directed_lines(all_1_3_3, all_1_3_3) = all_53_1_60 & ( ~ (all_53_4_63 = 0) | (all_53_0_59 = 0 & all_53_1_60 = 0) | (all_53_2_61 = 0 & all_53_3_62 = 0))
% 67.11/24.19 |
% 67.11/24.19 | Applying alpha-rule on (272) yields:
% 67.11/24.19 | (273) unequally_directed_lines(all_1_1_1, all_1_3_3) = all_53_3_62
% 67.11/24.19 | (274) unequally_directed_lines(all_1_3_3, all_1_2_2) = all_53_0_59
% 67.11/24.19 | (275) unequally_directed_lines(all_1_1_1, all_53_5_64) = all_53_4_63
% 67.11/24.19 | (276) ~ (all_53_4_63 = 0) | (all_53_0_59 = 0 & all_53_1_60 = 0) | (all_53_2_61 = 0 & all_53_3_62 = 0)
% 67.11/24.19 | (277) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_53_2_61
% 67.11/24.19 | (278) unequally_directed_lines(all_1_3_3, all_1_3_3) = all_53_1_60
% 67.11/24.19 | (279) reverse_line(all_1_3_3) = all_53_5_64
% 67.11/24.19 |
% 67.11/24.19 | Instantiating formula (68) with all_1_3_3, all_1_1_1 yields:
% 67.11/24.19 | (280) ~ (left_convergent_lines(all_1_1_1, all_1_3_3) = 0)
% 67.11/24.19 |
% 67.11/24.19 | Instantiating formula (169) with all_1_3_3, all_47_4_50, all_53_5_64 and discharging atoms reverse_line(all_1_3_3) = all_53_5_64, reverse_line(all_1_3_3) = all_47_4_50, yields:
% 67.11/24.19 | (281) all_53_5_64 = all_47_4_50
% 67.11/24.19 |
% 67.11/24.19 | Instantiating formula (169) with all_1_3_3, all_47_4_50, all_51_3_56 and discharging atoms reverse_line(all_1_3_3) = all_51_3_56, reverse_line(all_1_3_3) = all_47_4_50, yields:
% 67.11/24.19 | (282) all_51_3_56 = all_47_4_50
% 67.11/24.19 |
% 67.11/24.19 | Instantiating formula (169) with all_1_3_3, all_45_3_43, all_51_3_56 and discharging atoms reverse_line(all_1_3_3) = all_51_3_56, reverse_line(all_1_3_3) = all_45_3_43, yields:
% 67.11/24.19 | (283) all_51_3_56 = all_45_3_43
% 67.11/24.19 |
% 67.11/24.19 | Instantiating formula (169) with all_1_3_3, all_43_2_36, all_53_5_64 and discharging atoms reverse_line(all_1_3_3) = all_53_5_64, reverse_line(all_1_3_3) = all_43_2_36, yields:
% 67.11/24.19 | (284) all_53_5_64 = all_43_2_36
% 67.11/24.19 |
% 67.11/24.19 | Instantiating formula (169) with all_1_3_3, all_41_3_31, all_47_4_50 and discharging atoms reverse_line(all_1_3_3) = all_47_4_50, reverse_line(all_1_3_3) = all_41_3_31, yields:
% 67.11/24.19 | (285) all_47_4_50 = all_41_3_31
% 67.11/24.19 |
% 67.11/24.19 | Instantiating formula (169) with all_1_3_3, all_41_5_33, all_1_2_2 and discharging atoms reverse_line(all_1_3_3) = all_41_5_33, reverse_line(all_1_3_3) = all_1_2_2, yields:
% 67.11/24.19 | (286) all_41_5_33 = all_1_2_2
% 67.11/24.19 |
% 67.11/24.19 | Instantiating formula (169) with all_1_3_3, all_41_5_33, all_47_4_50 and discharging atoms reverse_line(all_1_3_3) = all_47_4_50, reverse_line(all_1_3_3) = all_41_5_33, yields:
% 67.11/24.19 | (287) all_47_4_50 = all_41_5_33
% 67.11/24.19 |
% 67.11/24.19 | Instantiating formula (169) with all_1_3_3, all_39_3_25, all_41_5_33 and discharging atoms reverse_line(all_1_3_3) = all_41_5_33, reverse_line(all_1_3_3) = all_39_3_25, yields:
% 67.11/24.19 | (288) all_41_5_33 = all_39_3_25
% 67.11/24.19 |
% 67.11/24.19 | Instantiating formula (169) with all_1_3_3, all_37_5_21, all_41_5_33 and discharging atoms reverse_line(all_1_3_3) = all_41_5_33, reverse_line(all_1_3_3) = all_37_5_21, yields:
% 67.11/24.19 | (289) all_41_5_33 = all_37_5_21
% 67.11/24.19 |
% 67.11/24.19 | Instantiating formula (169) with all_1_3_3, all_35_3_15, all_51_3_56 and discharging atoms reverse_line(all_1_3_3) = all_51_3_56, reverse_line(all_1_3_3) = all_35_3_15, yields:
% 67.11/24.19 | (290) all_51_3_56 = all_35_3_15
% 67.11/24.19 |
% 67.11/24.19 | Instantiating formula (115) with all_35_3_15, all_1_3_3, all_1_1_1 and discharging atoms reverse_line(all_1_3_3) = all_35_3_15, yields:
% 67.11/24.19 | (291) ~ (left_convergent_lines(all_1_1_1, all_35_3_15) = 0)
% 67.11/24.19 |
% 67.11/24.19 | Instantiating formula (188) with all_1_1_1, all_35_3_15, all_35_2_14, all_53_4_63 and discharging atoms unequally_directed_lines(all_1_1_1, all_35_3_15) = all_35_2_14, yields:
% 67.11/24.19 | (292) all_53_4_63 = all_35_2_14 | ~ (unequally_directed_lines(all_1_1_1, all_35_3_15) = all_53_4_63)
% 67.11/24.19 |
% 67.11/24.19 | Instantiating formula (188) with all_1_1_1, all_1_1_1, all_39_4_26, all_43_5_39 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_1_1) = all_43_5_39, unequally_directed_lines(all_1_1_1, all_1_1_1) = all_39_4_26, yields:
% 67.11/24.19 | (293) all_43_5_39 = all_39_4_26
% 67.11/24.19 |
% 67.11/24.19 | Instantiating formula (188) with all_1_1_1, all_1_1_1, all_37_2_18, all_43_5_39 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_1_1) = all_43_5_39, unequally_directed_lines(all_1_1_1, all_1_1_1) = all_37_2_18, yields:
% 67.11/24.19 | (294) all_43_5_39 = all_37_2_18
% 67.11/24.19 |
% 67.11/24.19 | Instantiating formula (188) with all_1_1_1, all_1_3_3, all_53_3_62, 0 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_3_3) = all_53_3_62, unequally_directed_lines(all_1_1_1, all_1_3_3) = 0, yields:
% 67.11/24.19 | (295) all_53_3_62 = 0
% 67.11/24.19 |
% 67.11/24.19 | Instantiating formula (188) with all_1_1_1, all_1_3_3, all_45_5_45, all_53_3_62 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_3_3) = all_53_3_62, unequally_directed_lines(all_1_1_1, all_1_3_3) = all_45_5_45, yields:
% 67.11/24.19 | (296) all_53_3_62 = all_45_5_45
% 67.11/24.19 |
% 67.11/24.19 | Instantiating formula (188) with all_1_3_3, all_1_2_2, all_37_1_17, all_45_0_40 and discharging atoms unequally_directed_lines(all_1_3_3, all_1_2_2) = all_37_1_17, yields:
% 67.11/24.19 | (297) all_45_0_40 = all_37_1_17 | ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = all_45_0_40)
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (295,296) yields a new equation:
% 67.11/24.19 | (298) all_45_5_45 = 0
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (281,284) yields a new equation:
% 67.11/24.19 | (299) all_47_4_50 = all_43_2_36
% 67.11/24.19 |
% 67.11/24.19 | Simplifying 299 yields:
% 67.11/24.19 | (300) all_47_4_50 = all_43_2_36
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (290,283) yields a new equation:
% 67.11/24.19 | (301) all_45_3_43 = all_35_3_15
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (282,283) yields a new equation:
% 67.11/24.19 | (302) all_47_4_50 = all_45_3_43
% 67.11/24.19 |
% 67.11/24.19 | Simplifying 302 yields:
% 67.11/24.19 | (303) all_47_4_50 = all_45_3_43
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (285,300) yields a new equation:
% 67.11/24.19 | (304) all_43_2_36 = all_41_3_31
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (287,300) yields a new equation:
% 67.11/24.19 | (305) all_43_2_36 = all_41_5_33
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (303,300) yields a new equation:
% 67.11/24.19 | (306) all_45_3_43 = all_43_2_36
% 67.11/24.19 |
% 67.11/24.19 | Simplifying 306 yields:
% 67.11/24.19 | (307) all_45_3_43 = all_43_2_36
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (307,301) yields a new equation:
% 67.11/24.19 | (308) all_43_2_36 = all_35_3_15
% 67.11/24.19 |
% 67.11/24.19 | Simplifying 308 yields:
% 67.11/24.19 | (309) all_43_2_36 = all_35_3_15
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (305,304) yields a new equation:
% 67.11/24.19 | (310) all_41_3_31 = all_41_5_33
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (309,304) yields a new equation:
% 67.11/24.19 | (311) all_41_3_31 = all_35_3_15
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (293,294) yields a new equation:
% 67.11/24.19 | (312) all_39_4_26 = all_37_2_18
% 67.11/24.19 |
% 67.11/24.19 | Simplifying 312 yields:
% 67.11/24.19 | (313) all_39_4_26 = all_37_2_18
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (310,311) yields a new equation:
% 67.11/24.19 | (314) all_41_5_33 = all_35_3_15
% 67.11/24.19 |
% 67.11/24.19 | Simplifying 314 yields:
% 67.11/24.19 | (315) all_41_5_33 = all_35_3_15
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (289,288) yields a new equation:
% 67.11/24.19 | (316) all_39_3_25 = all_37_5_21
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (286,288) yields a new equation:
% 67.11/24.19 | (317) all_39_3_25 = all_1_2_2
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (315,288) yields a new equation:
% 67.11/24.19 | (318) all_39_3_25 = all_35_3_15
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (317,316) yields a new equation:
% 67.11/24.19 | (319) all_37_5_21 = all_1_2_2
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (318,316) yields a new equation:
% 67.11/24.19 | (320) all_37_5_21 = all_35_3_15
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (319,320) yields a new equation:
% 67.11/24.19 | (321) all_35_3_15 = all_1_2_2
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (321,320) yields a new equation:
% 67.11/24.19 | (319) all_37_5_21 = all_1_2_2
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (319,316) yields a new equation:
% 67.11/24.19 | (317) all_39_3_25 = all_1_2_2
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (321,311) yields a new equation:
% 67.11/24.19 | (324) all_41_3_31 = all_1_2_2
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (324,304) yields a new equation:
% 67.11/24.19 | (325) all_43_2_36 = all_1_2_2
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (321,301) yields a new equation:
% 67.11/24.19 | (326) all_45_3_43 = all_1_2_2
% 67.11/24.19 |
% 67.11/24.19 | Combining equations (325,284) yields a new equation:
% 67.11/24.19 | (327) all_53_5_64 = all_1_2_2
% 67.11/24.19 |
% 67.11/24.19 | From (321) and (213) follows:
% 67.11/24.19 | (328) left_convergent_lines(all_1_1_1, all_1_2_2) = all_35_0_12
% 67.11/24.20 |
% 67.11/24.20 | From (321) and (215) follows:
% 67.11/24.20 | (199) reverse_line(all_1_3_3) = all_1_2_2
% 67.11/24.20 |
% 67.11/24.20 | From (327) and (275) follows:
% 67.11/24.20 | (330) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_53_4_63
% 67.11/24.20 |
% 67.11/24.20 | From (313) and (229) follows:
% 67.11/24.20 | (221) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_37_2_18
% 67.11/24.20 |
% 67.11/24.20 | From (298) and (254) follows:
% 67.11/24.20 | (201) unequally_directed_lines(all_1_1_1, all_1_3_3) = 0
% 67.11/24.20 |
% 67.11/24.20 | From (317) and (232) follows:
% 67.11/24.20 | (333) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_39_0_22
% 67.11/24.20 |
% 67.11/24.20 | From (326) and (255) follows:
% 67.11/24.20 | (334) unequally_directed_lines(all_1_3_3, all_1_2_2) = all_45_0_40
% 67.11/24.20 |
% 67.11/24.20 | From (321) and (291) follows:
% 67.11/24.20 | (335) ~ (left_convergent_lines(all_1_1_1, all_1_2_2) = 0)
% 67.11/24.20 |
% 67.11/24.20 +-Applying beta-rule and splitting (297), into two cases.
% 67.11/24.20 |-Branch one:
% 67.11/24.20 | (336) ~ (unequally_directed_lines(all_1_3_3, all_1_2_2) = all_45_0_40)
% 67.11/24.20 |
% 67.11/24.20 | Using (334) and (336) yields:
% 67.11/24.20 | (337) $false
% 67.11/24.20 |
% 67.11/24.20 |-The branch is then unsatisfiable
% 67.11/24.20 |-Branch two:
% 67.11/24.20 | (334) unequally_directed_lines(all_1_3_3, all_1_2_2) = all_45_0_40
% 67.11/24.20 | (339) all_45_0_40 = all_37_1_17
% 67.11/24.20 |
% 67.11/24.20 | From (339) and (334) follows:
% 67.11/24.20 | (220) unequally_directed_lines(all_1_3_3, all_1_2_2) = all_37_1_17
% 67.11/24.20 |
% 67.11/24.20 +-Applying beta-rule and splitting (292), into two cases.
% 67.11/24.20 |-Branch one:
% 67.11/24.20 | (341) ~ (unequally_directed_lines(all_1_1_1, all_35_3_15) = all_53_4_63)
% 67.11/24.20 |
% 67.11/24.20 | From (321) and (341) follows:
% 67.11/24.20 | (342) ~ (unequally_directed_lines(all_1_1_1, all_1_2_2) = all_53_4_63)
% 67.11/24.20 |
% 67.11/24.20 | Using (330) and (342) yields:
% 67.11/24.20 | (337) $false
% 67.11/24.20 |
% 67.11/24.20 |-The branch is then unsatisfiable
% 67.11/24.20 |-Branch two:
% 67.11/24.20 | (344) unequally_directed_lines(all_1_1_1, all_35_3_15) = all_53_4_63
% 67.11/24.20 | (345) all_53_4_63 = all_35_2_14
% 67.11/24.20 |
% 67.11/24.20 | From (345) and (330) follows:
% 67.11/24.20 | (346) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_35_2_14
% 67.11/24.20 |
% 67.11/24.20 | Using (328) and (335) yields:
% 67.11/24.20 | (347) ~ (all_35_0_12 = 0)
% 67.11/24.20 |
% 67.11/24.20 | Using (216) and (280) yields:
% 67.11/24.20 | (348) ~ (all_35_1_13 = 0)
% 67.11/24.20 |
% 67.11/24.20 +-Applying beta-rule and splitting (214), into two cases.
% 67.11/24.20 |-Branch one:
% 67.11/24.20 | (349) ~ (all_35_2_14 = 0)
% 67.11/24.20 |
% 67.11/24.20 | Instantiating formula (159) with all_35_0_12, all_1_2_2, all_1_3_3, all_1_1_1 and discharging atoms left_convergent_lines(all_1_1_1, all_1_2_2) = all_35_0_12, reverse_line(all_1_3_3) = all_1_2_2, yields:
% 67.11/24.20 | (350) all_35_0_12 = 0 | ? [v0] : ( ~ (v0 = 0) & right_convergent_lines(all_1_1_1, all_1_3_3) = v0)
% 67.11/24.20 |
% 67.11/24.20 | Instantiating formula (8) with all_35_0_12, all_1_2_2, all_1_1_1 and discharging atoms left_convergent_lines(all_1_1_1, all_1_2_2) = all_35_0_12, yields:
% 67.11/24.20 | (351) all_35_0_12 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (left_convergent_lines(all_1_1_1, v1) = v3 & reverse_line(all_1_2_2) = v1 & unequally_directed_lines(all_1_1_1, v1) = v2 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | v3 = 0))
% 67.11/24.20 |
% 67.11/24.20 | Instantiating formula (76) with all_43_3_37, all_1_1_1, all_43_4_38, all_1_2_2, all_1_1_1 and discharging atoms reverse_line(all_1_2_2) = all_1_1_1, unequally_directed_lines(all_1_1_1, all_43_4_38) = all_43_3_37, yields:
% 67.11/24.20 | (352) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_43_4_38) = v2 & unequally_directed_lines(all_1_1_1, v2) = v3 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v1 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_43_4_38) = v4 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_43_3_37 = 0)))
% 67.11/24.20 |
% 67.11/24.20 | Instantiating formula (76) with all_43_3_37, all_1_2_2, all_43_4_38, all_1_3_3, all_1_1_1 and discharging atoms reverse_line(all_1_3_3) = all_1_2_2, unequally_directed_lines(all_1_1_1, all_43_4_38) = all_43_3_37, yields:
% 67.11/24.20 | (353) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_43_4_38) = v2 & unequally_directed_lines(all_1_1_1, v2) = v3 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v1 & unequally_directed_lines(all_1_1_1, all_1_3_3) = v0 & unequally_directed_lines(all_1_3_3, v2) = v5 & unequally_directed_lines(all_1_3_3, all_43_4_38) = v4 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_43_3_37 = 0)))
% 67.11/24.20 |
% 67.11/24.20 | Instantiating formula (129) with all_43_3_37, all_43_4_38, all_1_1_1, all_1_1_1, all_1_2_2, all_1_1_1 and discharging atoms reverse_line(all_1_1_1) = all_43_4_38, reverse_line(all_1_2_2) = all_1_1_1, unequally_directed_lines(all_1_1_1, all_43_4_38) = all_43_3_37, yields:
% 67.11/24.20 | (354) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_1_1, all_1_1_1) = v2 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v1 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, all_43_4_38) = v4 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v4 = 0 & v3 = 0) | (v2 = 0 & all_43_3_37 = 0)))
% 67.11/24.20 |
% 67.11/24.20 | Instantiating formula (129) with all_43_3_37, all_43_4_38, all_1_2_2, all_1_1_1, all_1_3_3, all_1_1_1 and discharging atoms reverse_line(all_1_1_1) = all_43_4_38, reverse_line(all_1_3_3) = all_1_2_2, unequally_directed_lines(all_1_1_1, all_43_4_38) = all_43_3_37, yields:
% 67.11/24.20 | (355) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_1_1, all_1_1_1) = v2 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v1 & unequally_directed_lines(all_1_1_1, all_1_3_3) = v0 & unequally_directed_lines(all_1_3_3, all_43_4_38) = v4 & unequally_directed_lines(all_1_3_3, all_1_1_1) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v4 = 0 & v3 = 0) | (v2 = 0 & all_43_3_37 = 0)))
% 67.11/24.20 |
% 67.11/24.20 | Instantiating formula (129) with all_37_2_18, all_1_1_1, all_1_1_1, all_1_2_2, all_1_2_2, all_1_1_1 and discharging atoms reverse_line(all_1_2_2) = all_1_1_1, unequally_directed_lines(all_1_1_1, all_1_1_1) = all_37_2_18, yields:
% 67.11/24.20 | (356) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_1_1, all_1_1_1) = v1 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v2 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v4 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v4 = 0 & v3 = 0) | (v2 = 0 & all_37_2_18 = 0)))
% 67.11/24.20 |
% 67.11/24.20 | Instantiating formula (129) with all_37_2_18, all_1_1_1, all_43_4_38, all_1_2_2, all_1_1_1, all_1_1_1 and discharging atoms reverse_line(all_1_1_1) = all_43_4_38, reverse_line(all_1_2_2) = all_1_1_1, unequally_directed_lines(all_1_1_1, all_1_1_1) = all_37_2_18, yields:
% 67.11/24.20 | (357) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_1_1, all_43_4_38) = v1 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v4 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v0 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v3 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v4 = 0 & v3 = 0) | (v2 = 0 & all_37_2_18 = 0)))
% 67.11/24.20 |
% 67.11/24.20 | Instantiating formula (163) with all_37_2_18, all_37_2_18, all_1_1_1, all_1_2_2, all_1_1_1, all_1_1_1 and discharging atoms reverse_line(all_1_2_2) = all_1_1_1, unequally_directed_lines(all_1_1_1, all_1_1_1) = all_37_2_18, yields:
% 67.11/24.20 | (358) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (reverse_line(all_1_1_1) = v1 & unequally_directed_lines(all_1_1_1, v1) = v2 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v0 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v3 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_37_2_18 = 0) | (v3 = 0 & all_37_2_18 = 0)))
% 67.11/24.20 |
% 67.11/24.20 | Instantiating formula (31) with all_37_2_18, all_1_1_1, all_1_2_2, all_1_1_1 and discharging atoms reverse_line(all_1_2_2) = all_1_1_1, unequally_directed_lines(all_1_1_1, all_1_1_1) = all_37_2_18, yields:
% 67.11/24.20 | (359) all_37_2_18 = 0 | unequally_directed_lines(all_1_1_1, all_1_2_2) = 0
% 67.11/24.20 |
% 67.11/24.20 | Instantiating formula (76) with all_37_2_18, all_1_1_1, all_1_1_1, all_1_2_2, all_1_1_1 and discharging atoms reverse_line(all_1_2_2) = all_1_1_1, unequally_directed_lines(all_1_1_1, all_1_1_1) = all_37_2_18, yields:
% 67.11/24.20 | (360) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_1_1) = v2 & unequally_directed_lines(all_1_1_1, v2) = v3 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v1 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v4 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_37_2_18 = 0)))
% 67.11/24.20 |
% 67.11/24.20 | Instantiating formula (76) with all_37_2_18, all_1_2_2, all_1_1_1, all_1_3_3, all_1_1_1 and discharging atoms reverse_line(all_1_3_3) = all_1_2_2, unequally_directed_lines(all_1_1_1, all_1_1_1) = all_37_2_18, yields:
% 67.11/24.20 | (361) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_1_1) = v2 & unequally_directed_lines(all_1_1_1, v2) = v3 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v1 & unequally_directed_lines(all_1_1_1, all_1_3_3) = v0 & unequally_directed_lines(all_1_3_3, v2) = v5 & unequally_directed_lines(all_1_3_3, all_1_1_1) = v4 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_37_2_18 = 0)))
% 67.11/24.20 |
% 67.11/24.20 | Instantiating formula (128) with all_37_2_18, all_1_1_1, all_35_2_14, all_1_2_2, all_1_1_1, all_1_1_1 and discharging atoms reverse_line(all_1_2_2) = all_1_1_1, unequally_directed_lines(all_1_1_1, all_1_1_1) = all_37_2_18, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_35_2_14, yields:
% 67.11/24.20 | (362) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (reverse_line(all_1_1_1) = v1 & unequally_directed_lines(all_1_1_1, v1) = v2 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v3 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v0 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_37_2_18 = 0) | (v3 = 0 & all_35_2_14 = 0)))
% 67.11/24.20 |
% 67.11/24.20 | Instantiating formula (91) with all_35_2_14, all_37_2_18, all_1_1_1, all_1_2_2, all_1_1_1, all_1_1_1 and discharging atoms reverse_line(all_1_2_2) = all_1_1_1, unequally_directed_lines(all_1_1_1, all_1_1_1) = all_37_2_18, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_35_2_14, yields:
% 67.11/24.20 | (363) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (reverse_line(all_1_1_1) = v1 & unequally_directed_lines(all_1_1_1, v1) = v2 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v4 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v0 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v3 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_35_2_14 = 0) | (v3 = 0 & all_37_2_18 = 0)))
% 67.11/24.20 |
% 67.11/24.20 | Instantiating formula (76) with all_35_2_14, all_1_1_1, all_1_2_2, all_1_2_2, all_1_1_1 and discharging atoms reverse_line(all_1_2_2) = all_1_1_1, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_35_2_14, yields:
% 67.11/24.20 | (364) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_2_2) = v2 & unequally_directed_lines(all_1_1_1, v2) = v3 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v1 & unequally_directed_lines(all_1_1_1, 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 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_35_2_14 = 0)))
% 67.11/24.21 |
% 67.11/24.21 | Instantiating formula (129) with all_35_2_14, all_1_2_2, all_43_4_38, all_1_3_3, all_1_1_1, all_1_1_1 and discharging atoms reverse_line(all_1_1_1) = all_43_4_38, reverse_line(all_1_3_3) = all_1_2_2, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_35_2_14, yields:
% 67.11/24.21 | (365) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_1_1, all_43_4_38) = v1 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v0 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & unequally_directed_lines(all_1_1_1, all_1_3_3) = v3 & unequally_directed_lines(all_1_1_1, all_1_3_3) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v4 = 0 & v3 = 0) | (v2 = 0 & all_35_2_14 = 0)))
% 67.11/24.21 |
% 67.11/24.21 | Instantiating formula (128) with all_35_2_14, all_1_2_2, 0, all_1_3_3, all_1_1_1, all_1_1_1 and discharging atoms reverse_line(all_1_3_3) = all_1_2_2, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_35_2_14, unequally_directed_lines(all_1_1_1, all_1_3_3) = 0, yields:
% 67.11/24.21 | (366) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (reverse_line(all_1_1_1) = v1 & unequally_directed_lines(all_1_1_1, v1) = v2 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v0 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v3 & unequally_directed_lines(all_1_1_1, all_1_3_3) = v4 & ( ~ (v2 = 0) | ~ (v0 = 0) | v3 = 0 | (v4 = 0 & all_35_2_14 = 0)))
% 67.11/24.21 |
% 67.11/24.21 | Instantiating formula (91) with 0, all_35_2_14, all_1_2_2, all_1_3_3, all_1_1_1, all_1_1_1 and discharging atoms reverse_line(all_1_3_3) = all_1_2_2, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_35_2_14, unequally_directed_lines(all_1_1_1, all_1_3_3) = 0, yields:
% 67.11/24.21 | (367) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (reverse_line(all_1_1_1) = v1 & unequally_directed_lines(all_1_1_1, v1) = v2 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v0 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & unequally_directed_lines(all_1_1_1, all_1_3_3) = v3 & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0 | (v3 = 0 & all_35_2_14 = 0)))
% 67.11/24.21 |
% 67.11/24.21 | Instantiating formula (131) with all_35_2_14, all_1_2_2, all_1_3_3, all_1_1_1 and discharging atoms reverse_line(all_1_3_3) = all_1_2_2, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_35_2_14, yields:
% 67.11/24.21 | (368) all_35_2_14 = 0 | ? [v0] : ( ~ (v0 = 0) & unequally_directed_opposite_lines(all_1_1_1, all_1_3_3) = v0)
% 67.11/24.21 |
% 67.11/24.21 | Instantiating formula (76) with all_35_2_14, all_43_4_38, all_1_2_2, all_1_1_1, all_1_1_1 and discharging atoms reverse_line(all_1_1_1) = all_43_4_38, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_35_2_14, yields:
% 67.11/24.21 | (369) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_2_2) = v2 & unequally_directed_lines(all_1_1_1, v2) = v5 & unequally_directed_lines(all_1_1_1, v2) = v3 & unequally_directed_lines(all_1_1_1, all_43_4_38) = v1 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v0 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_35_2_14 = 0)))
% 67.11/24.21 |
% 67.11/24.21 | Instantiating formula (81) with all_35_0_12, all_35_2_14, all_1_2_2, all_1_1_1, all_1_1_1 and discharging atoms left_convergent_lines(all_1_1_1, all_1_2_2) = all_35_0_12, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_35_2_14, yields:
% 67.11/24.21 | (370) all_35_0_12 = 0 | all_35_2_14 = 0 | ? [v0] : ( ~ (v0 = 0) & left_convergent_lines(all_1_1_1, all_1_1_1) = v0)
% 67.11/24.21 |
% 67.11/24.21 | Instantiating formula (100) with all_35_2_14, all_1_2_2, all_1_1_1, all_1_1_1 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_35_2_14, yields:
% 67.11/24.21 | (371) all_35_2_14 = 0 | ~ (unequally_directed_lines(all_1_1_1, all_1_1_1) = 0) | unequally_directed_lines(all_1_1_1, all_1_2_2) = 0
% 67.11/24.21 |
% 67.11/24.21 | Instantiating formula (119) with all_35_2_14, all_35_2_14, all_1_2_2, all_1_1_1, all_1_1_1 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_35_2_14, yields:
% 67.11/24.21 | (372) all_35_2_14 = 0 | ? [v0] : ( ~ (v0 = 0) & unequally_directed_lines(all_1_1_1, all_1_1_1) = v0)
% 67.11/24.21 |
% 67.11/24.21 | Instantiating formula (155) with all_35_2_14, all_1_2_2, all_1_1_1 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_35_2_14, yields:
% 67.11/24.21 | (373) all_35_2_14 = 0 | ? [v0] : (reverse_line(all_1_2_2) = v0 & unequally_directed_lines(all_1_1_1, v0) = 0)
% 67.11/24.21 |
% 67.11/24.21 | Instantiating formula (128) with all_37_2_18, all_1_1_1, all_39_0_22, all_1_2_2, all_1_1_1, all_1_2_2 and discharging atoms reverse_line(all_1_2_2) = all_1_1_1, unequally_directed_lines(all_1_1_1, all_1_1_1) = all_37_2_18, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_39_0_22, yields:
% 67.11/24.21 | (374) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (reverse_line(all_1_1_1) = v1 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v3 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_37_2_18 = 0) | (v3 = 0 & all_39_0_22 = 0)))
% 67.11/24.21 |
% 67.11/24.21 | Instantiating formula (91) with all_39_0_22, all_37_2_18, all_1_1_1, all_1_2_2, all_1_2_2, all_1_1_1 and discharging atoms reverse_line(all_1_2_2) = all_1_1_1, unequally_directed_lines(all_1_1_1, all_1_1_1) = all_37_2_18, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_39_0_22, yields:
% 67.11/24.21 | (375) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (reverse_line(all_1_2_2) = v1 & unequally_directed_lines(all_1_1_1, v1) = v2 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v3 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v4 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_39_0_22 = 0) | (v3 = 0 & all_37_2_18 = 0)))
% 67.11/24.21 |
% 67.11/24.21 | Instantiating formula (129) with all_39_0_22, all_1_2_2, all_43_4_38, all_1_3_3, all_1_1_1, all_1_2_2 and discharging atoms reverse_line(all_1_1_1) = all_43_4_38, reverse_line(all_1_3_3) = all_1_2_2, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_39_0_22, yields:
% 67.11/24.21 | (376) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & unequally_directed_lines(all_1_1_1, all_1_3_3) = v3 & unequally_directed_lines(all_1_2_2, all_43_4_38) = v1 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & unequally_directed_lines(all_1_2_2, all_1_3_3) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v4 = 0 & v3 = 0) | (v2 = 0 & all_39_0_22 = 0)))
% 67.11/24.21 |
% 67.11/24.21 | Instantiating formula (91) with 0, all_39_0_22, all_1_2_2, all_1_3_3, all_1_1_1, all_1_2_2 and discharging atoms reverse_line(all_1_3_3) = all_1_2_2, unequally_directed_lines(all_1_1_1, all_1_3_3) = 0, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_39_0_22, yields:
% 67.11/24.21 | (377) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (reverse_line(all_1_1_1) = v1 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & unequally_directed_lines(all_1_2_2, all_1_3_3) = v3 & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0 | (v3 = 0 & all_39_0_22 = 0)))
% 67.11/24.21 |
% 67.11/24.21 | Instantiating formula (76) with all_39_0_22, all_43_4_38, all_1_2_2, all_1_1_1, all_1_2_2 and discharging atoms reverse_line(all_1_1_1) = all_43_4_38, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_39_0_22, yields:
% 67.11/24.21 | (378) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_2_2) = v2 & unequally_directed_lines(all_1_1_1, v2) = v5 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, all_43_4_38) = v1 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_39_0_22 = 0)))
% 67.35/24.21 |
% 67.35/24.21 | Instantiating formula (23) with all_39_0_22, all_35_2_14, all_1_2_2, all_1_2_2, all_1_1_1 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_35_2_14, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_39_0_22, yields:
% 67.35/24.21 | (379) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_2_2) = v3 & reverse_line(all_1_2_2) = v1 & unequally_directed_lines(all_1_1_1, v3) = v4 & unequally_directed_lines(all_1_1_1, v1) = v2 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v3) = v5 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v5 = 0 & all_39_0_22 = 0) | (v4 = 0 & all_35_2_14 = 0)))
% 67.35/24.21 |
% 67.35/24.21 | Instantiating formula (129) with all_37_0_16, all_1_1_1, all_43_4_38, all_1_2_2, all_1_1_1, all_1_3_3 and discharging atoms reverse_line(all_1_1_1) = all_43_4_38, reverse_line(all_1_2_2) = all_1_1_1, unequally_directed_lines(all_1_3_3, all_1_1_1) = all_37_0_16, yields:
% 67.35/24.21 | (380) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_1_1, all_1_1_1) = v4 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v3 & unequally_directed_lines(all_1_3_3, all_43_4_38) = v1 & unequally_directed_lines(all_1_3_3, all_1_1_1) = v0 & unequally_directed_lines(all_1_3_3, all_1_2_2) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v4 = 0 & v3 = 0) | (v2 = 0 & all_37_0_16 = 0)))
% 67.35/24.21 |
% 67.35/24.21 | Instantiating formula (163) with all_37_2_18, all_37_0_16, all_1_1_1, all_1_2_2, all_1_1_1, all_1_3_3 and discharging atoms reverse_line(all_1_2_2) = all_1_1_1, unequally_directed_lines(all_1_1_1, all_1_1_1) = all_37_2_18, unequally_directed_lines(all_1_3_3, all_1_1_1) = all_37_0_16, yields:
% 67.35/24.21 | (381) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (reverse_line(all_1_1_1) = v1 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & unequally_directed_lines(all_1_3_3, v1) = v2 & unequally_directed_lines(all_1_3_3, all_1_1_1) = v0 & unequally_directed_lines(all_1_3_3, all_1_2_2) = v3 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_37_2_18 = 0) | (v3 = 0 & all_37_0_16 = 0)))
% 67.35/24.21 |
% 67.35/24.21 | Instantiating formula (128) with all_37_2_18, all_1_1_1, all_37_1_17, all_1_2_2, all_1_1_1, all_1_3_3 and discharging atoms reverse_line(all_1_2_2) = all_1_1_1, unequally_directed_lines(all_1_1_1, all_1_1_1) = all_37_2_18, unequally_directed_lines(all_1_3_3, all_1_2_2) = all_37_1_17, yields:
% 67.35/24.21 | (382) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (reverse_line(all_1_1_1) = v1 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & unequally_directed_lines(all_1_3_3, v1) = v2 & unequally_directed_lines(all_1_3_3, all_1_1_1) = v3 & unequally_directed_lines(all_1_3_3, all_1_1_1) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_37_2_18 = 0) | (v3 = 0 & all_37_1_17 = 0)))
% 67.35/24.21 |
% 67.35/24.21 | Instantiating formula (129) with all_37_1_17, all_1_2_2, all_43_4_38, all_1_3_3, all_1_1_1, all_1_3_3 and discharging atoms reverse_line(all_1_1_1) = all_43_4_38, reverse_line(all_1_3_3) = all_1_2_2, unequally_directed_lines(all_1_3_3, all_1_2_2) = all_37_1_17, yields:
% 67.35/24.21 | (383) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & unequally_directed_lines(all_1_1_1, all_1_3_3) = v3 & unequally_directed_lines(all_1_3_3, all_43_4_38) = v1 & unequally_directed_lines(all_1_3_3, all_1_1_1) = v0 & unequally_directed_lines(all_1_3_3, all_1_3_3) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v4 = 0 & v3 = 0) | (v2 = 0 & all_37_1_17 = 0)))
% 67.35/24.21 |
% 67.35/24.21 | Instantiating formula (91) with 0, all_37_1_17, all_1_2_2, all_1_3_3, all_1_1_1, all_1_3_3 and discharging atoms reverse_line(all_1_3_3) = all_1_2_2, unequally_directed_lines(all_1_1_1, all_1_3_3) = 0, unequally_directed_lines(all_1_3_3, all_1_2_2) = all_37_1_17, yields:
% 67.35/24.21 | (384) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (reverse_line(all_1_1_1) = v1 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & unequally_directed_lines(all_1_3_3, v1) = v2 & unequally_directed_lines(all_1_3_3, all_1_1_1) = v0 & unequally_directed_lines(all_1_3_3, all_1_3_3) = v3 & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0 | (v3 = 0 & all_37_1_17 = 0)))
% 67.35/24.21 |
% 67.35/24.21 | Instantiating formula (76) with all_37_1_17, all_43_4_38, all_1_2_2, all_1_1_1, all_1_3_3 and discharging atoms reverse_line(all_1_1_1) = all_43_4_38, unequally_directed_lines(all_1_3_3, all_1_2_2) = all_37_1_17, yields:
% 67.35/24.21 | (385) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_2_2) = v2 & unequally_directed_lines(all_1_1_1, v2) = v5 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & unequally_directed_lines(all_1_3_3, v2) = v3 & unequally_directed_lines(all_1_3_3, all_43_4_38) = v1 & unequally_directed_lines(all_1_3_3, all_1_1_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_37_1_17 = 0)))
% 67.35/24.21 |
% 67.35/24.21 | Instantiating formula (100) with all_37_1_17, all_1_2_2, all_1_3_3, all_1_1_1 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_3_3) = 0, unequally_directed_lines(all_1_3_3, all_1_2_2) = all_37_1_17, yields:
% 67.35/24.21 | (386) all_37_1_17 = 0 | unequally_directed_lines(all_1_1_1, all_1_2_2) = 0
% 67.35/24.21 |
% 67.35/24.21 | Instantiating (385) with all_145_0_77, all_145_1_78, all_145_2_79, all_145_3_80, all_145_4_81, all_145_5_82 yields:
% 67.35/24.21 | (387) reverse_line(all_1_2_2) = all_145_3_80 & unequally_directed_lines(all_1_1_1, all_145_3_80) = all_145_0_77 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_145_1_78 & unequally_directed_lines(all_1_3_3, all_145_3_80) = all_145_2_79 & unequally_directed_lines(all_1_3_3, all_43_4_38) = all_145_4_81 & unequally_directed_lines(all_1_3_3, all_1_1_1) = all_145_5_82 & ( ~ (all_145_4_81 = 0) | ~ (all_145_5_82 = 0) | (all_145_0_77 = 0 & all_145_1_78 = 0) | (all_145_2_79 = 0 & all_37_1_17 = 0))
% 67.35/24.21 |
% 67.35/24.21 | Applying alpha-rule on (387) yields:
% 67.35/24.21 | (388) unequally_directed_lines(all_1_3_3, all_43_4_38) = all_145_4_81
% 67.35/24.21 | (389) reverse_line(all_1_2_2) = all_145_3_80
% 67.35/24.21 | (390) unequally_directed_lines(all_1_1_1, all_145_3_80) = all_145_0_77
% 67.35/24.21 | (391) unequally_directed_lines(all_1_3_3, all_1_1_1) = all_145_5_82
% 67.35/24.21 | (392) unequally_directed_lines(all_1_3_3, all_145_3_80) = all_145_2_79
% 67.35/24.21 | (393) ~ (all_145_4_81 = 0) | ~ (all_145_5_82 = 0) | (all_145_0_77 = 0 & all_145_1_78 = 0) | (all_145_2_79 = 0 & all_37_1_17 = 0)
% 67.35/24.21 | (394) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_145_1_78
% 67.35/24.21 |
% 67.35/24.21 | Instantiating (384) with all_151_0_94, all_151_1_95, all_151_2_96, all_151_3_97, all_151_4_98 yields:
% 67.35/24.22 | (395) reverse_line(all_1_1_1) = all_151_3_97 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_151_0_94 & unequally_directed_lines(all_1_3_3, all_151_3_97) = all_151_2_96 & unequally_directed_lines(all_1_3_3, all_1_1_1) = all_151_4_98 & unequally_directed_lines(all_1_3_3, all_1_3_3) = all_151_1_95 & ( ~ (all_151_2_96 = 0) | ~ (all_151_4_98 = 0) | all_151_0_94 = 0 | (all_151_1_95 = 0 & all_37_1_17 = 0))
% 67.35/24.22 |
% 67.35/24.22 | Applying alpha-rule on (395) yields:
% 67.35/24.22 | (396) ~ (all_151_2_96 = 0) | ~ (all_151_4_98 = 0) | all_151_0_94 = 0 | (all_151_1_95 = 0 & all_37_1_17 = 0)
% 67.35/24.22 | (397) unequally_directed_lines(all_1_3_3, all_1_3_3) = all_151_1_95
% 67.35/24.22 | (398) unequally_directed_lines(all_1_3_3, all_151_3_97) = all_151_2_96
% 67.35/24.22 | (399) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_151_0_94
% 67.35/24.22 | (400) unequally_directed_lines(all_1_3_3, all_1_1_1) = all_151_4_98
% 67.35/24.22 | (401) reverse_line(all_1_1_1) = all_151_3_97
% 67.35/24.22 |
% 67.35/24.22 | Instantiating (382) with all_153_0_99, all_153_1_100, all_153_2_101, all_153_3_102, all_153_4_103 yields:
% 67.35/24.22 | (402) reverse_line(all_1_1_1) = all_153_3_102 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_153_0_99 & unequally_directed_lines(all_1_3_3, all_153_3_102) = all_153_2_101 & unequally_directed_lines(all_1_3_3, all_1_1_1) = all_153_1_100 & unequally_directed_lines(all_1_3_3, all_1_1_1) = all_153_4_103 & ( ~ (all_153_2_101 = 0) | ~ (all_153_4_103 = 0) | (all_153_0_99 = 0 & all_37_2_18 = 0) | (all_153_1_100 = 0 & all_37_1_17 = 0))
% 67.35/24.22 |
% 67.35/24.22 | Applying alpha-rule on (402) yields:
% 67.35/24.22 | (403) unequally_directed_lines(all_1_3_3, all_1_1_1) = all_153_4_103
% 67.35/24.22 | (404) unequally_directed_lines(all_1_3_3, all_153_3_102) = all_153_2_101
% 67.35/24.22 | (405) unequally_directed_lines(all_1_3_3, all_1_1_1) = all_153_1_100
% 67.35/24.22 | (406) ~ (all_153_2_101 = 0) | ~ (all_153_4_103 = 0) | (all_153_0_99 = 0 & all_37_2_18 = 0) | (all_153_1_100 = 0 & all_37_1_17 = 0)
% 67.35/24.22 | (407) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_153_0_99
% 67.35/24.22 | (408) reverse_line(all_1_1_1) = all_153_3_102
% 67.35/24.22 |
% 67.35/24.22 | Instantiating (383) with all_157_0_106, all_157_1_107, all_157_2_108, all_157_3_109, all_157_4_110 yields:
% 67.35/24.22 | (409) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_157_0_106 & unequally_directed_lines(all_1_1_1, all_1_3_3) = all_157_1_107 & unequally_directed_lines(all_1_3_3, all_43_4_38) = all_157_3_109 & unequally_directed_lines(all_1_3_3, all_1_1_1) = all_157_4_110 & unequally_directed_lines(all_1_3_3, all_1_3_3) = all_157_2_108 & ( ~ (all_157_3_109 = 0) | ~ (all_157_4_110 = 0) | (all_157_0_106 = 0 & all_157_1_107 = 0) | (all_157_2_108 = 0 & all_37_1_17 = 0))
% 67.35/24.22 |
% 67.35/24.22 | Applying alpha-rule on (409) yields:
% 67.35/24.22 | (410) unequally_directed_lines(all_1_3_3, all_1_1_1) = all_157_4_110
% 67.35/24.22 | (411) unequally_directed_lines(all_1_1_1, all_1_3_3) = all_157_1_107
% 67.35/24.22 | (412) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_157_0_106
% 67.35/24.22 | (413) unequally_directed_lines(all_1_3_3, all_1_3_3) = all_157_2_108
% 67.35/24.22 | (414) unequally_directed_lines(all_1_3_3, all_43_4_38) = all_157_3_109
% 67.35/24.22 | (415) ~ (all_157_3_109 = 0) | ~ (all_157_4_110 = 0) | (all_157_0_106 = 0 & all_157_1_107 = 0) | (all_157_2_108 = 0 & all_37_1_17 = 0)
% 67.35/24.22 |
% 67.35/24.22 | Instantiating (381) with all_195_0_209, all_195_1_210, all_195_2_211, all_195_3_212, all_195_4_213 yields:
% 67.35/24.22 | (416) reverse_line(all_1_1_1) = all_195_3_212 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_195_0_209 & unequally_directed_lines(all_1_3_3, all_195_3_212) = all_195_2_211 & unequally_directed_lines(all_1_3_3, all_1_1_1) = all_195_4_213 & unequally_directed_lines(all_1_3_3, all_1_2_2) = all_195_1_210 & ( ~ (all_195_2_211 = 0) | ~ (all_195_4_213 = 0) | (all_195_0_209 = 0 & all_37_2_18 = 0) | (all_195_1_210 = 0 & all_37_0_16 = 0))
% 67.35/24.22 |
% 67.35/24.22 | Applying alpha-rule on (416) yields:
% 67.35/24.22 | (417) reverse_line(all_1_1_1) = all_195_3_212
% 67.35/24.22 | (418) ~ (all_195_2_211 = 0) | ~ (all_195_4_213 = 0) | (all_195_0_209 = 0 & all_37_2_18 = 0) | (all_195_1_210 = 0 & all_37_0_16 = 0)
% 67.35/24.22 | (419) unequally_directed_lines(all_1_3_3, all_1_2_2) = all_195_1_210
% 67.35/24.22 | (420) unequally_directed_lines(all_1_3_3, all_1_1_1) = all_195_4_213
% 67.35/24.22 | (421) unequally_directed_lines(all_1_3_3, all_195_3_212) = all_195_2_211
% 67.35/24.22 | (422) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_195_0_209
% 67.35/24.22 |
% 67.35/24.22 | Instantiating (380) with all_197_0_214, all_197_1_215, all_197_2_216, all_197_3_217, all_197_4_218 yields:
% 67.35/24.22 | (423) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_197_0_214 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_197_1_215 & unequally_directed_lines(all_1_3_3, all_43_4_38) = all_197_3_217 & unequally_directed_lines(all_1_3_3, all_1_1_1) = all_197_4_218 & unequally_directed_lines(all_1_3_3, all_1_2_2) = all_197_2_216 & ( ~ (all_197_3_217 = 0) | ~ (all_197_4_218 = 0) | (all_197_0_214 = 0 & all_197_1_215 = 0) | (all_197_2_216 = 0 & all_37_0_16 = 0))
% 67.35/24.22 |
% 67.35/24.22 | Applying alpha-rule on (423) yields:
% 67.35/24.22 | (424) unequally_directed_lines(all_1_3_3, all_1_1_1) = all_197_4_218
% 67.35/24.22 | (425) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_197_1_215
% 67.35/24.22 | (426) unequally_directed_lines(all_1_3_3, all_43_4_38) = all_197_3_217
% 67.35/24.22 | (427) unequally_directed_lines(all_1_3_3, all_1_2_2) = all_197_2_216
% 67.35/24.22 | (428) ~ (all_197_3_217 = 0) | ~ (all_197_4_218 = 0) | (all_197_0_214 = 0 & all_197_1_215 = 0) | (all_197_2_216 = 0 & all_37_0_16 = 0)
% 67.35/24.22 | (429) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_197_0_214
% 67.35/24.22 |
% 67.35/24.22 | Instantiating (363) with all_223_0_276, all_223_1_277, all_223_2_278, all_223_3_279, all_223_4_280 yields:
% 67.35/24.22 | (430) reverse_line(all_1_1_1) = all_223_3_279 & unequally_directed_lines(all_1_1_1, all_223_3_279) = all_223_2_278 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_223_0_276 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_223_4_280 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_223_1_277 & ( ~ (all_223_2_278 = 0) | ~ (all_223_4_280 = 0) | (all_223_0_276 = 0 & all_35_2_14 = 0) | (all_223_1_277 = 0 & all_37_2_18 = 0))
% 67.35/24.22 |
% 67.35/24.22 | Applying alpha-rule on (430) yields:
% 67.35/24.22 | (431) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_223_4_280
% 67.35/24.22 | (432) ~ (all_223_2_278 = 0) | ~ (all_223_4_280 = 0) | (all_223_0_276 = 0 & all_35_2_14 = 0) | (all_223_1_277 = 0 & all_37_2_18 = 0)
% 67.35/24.22 | (433) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_223_1_277
% 67.35/24.22 | (434) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_223_0_276
% 67.35/24.22 | (435) reverse_line(all_1_1_1) = all_223_3_279
% 67.35/24.22 | (436) unequally_directed_lines(all_1_1_1, all_223_3_279) = all_223_2_278
% 67.35/24.22 |
% 67.35/24.22 | Instantiating (379) with all_241_0_325, all_241_1_326, all_241_2_327, all_241_3_328, all_241_4_329, all_241_5_330 yields:
% 67.35/24.22 | (437) reverse_line(all_1_2_2) = all_241_2_327 & reverse_line(all_1_2_2) = all_241_4_329 & unequally_directed_lines(all_1_1_1, all_241_2_327) = all_241_1_326 & unequally_directed_lines(all_1_1_1, all_241_4_329) = all_241_3_328 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_241_5_330 & unequally_directed_lines(all_1_2_2, all_241_2_327) = all_241_0_325 & ( ~ (all_241_3_328 = 0) | ~ (all_241_5_330 = 0) | (all_241_0_325 = 0 & all_39_0_22 = 0) | (all_241_1_326 = 0 & all_35_2_14 = 0))
% 67.35/24.22 |
% 67.35/24.22 | Applying alpha-rule on (437) yields:
% 67.35/24.22 | (438) unequally_directed_lines(all_1_1_1, all_241_2_327) = all_241_1_326
% 67.35/24.22 | (439) unequally_directed_lines(all_1_2_2, all_241_2_327) = all_241_0_325
% 67.35/24.22 | (440) unequally_directed_lines(all_1_1_1, all_241_4_329) = all_241_3_328
% 67.35/24.22 | (441) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_241_5_330
% 67.35/24.22 | (442) reverse_line(all_1_2_2) = all_241_4_329
% 67.35/24.22 | (443) ~ (all_241_3_328 = 0) | ~ (all_241_5_330 = 0) | (all_241_0_325 = 0 & all_39_0_22 = 0) | (all_241_1_326 = 0 & all_35_2_14 = 0)
% 67.35/24.22 | (444) reverse_line(all_1_2_2) = all_241_2_327
% 67.35/24.22 |
% 67.35/24.22 | Instantiating (378) with all_243_0_331, all_243_1_332, all_243_2_333, all_243_3_334, all_243_4_335, all_243_5_336 yields:
% 67.35/24.22 | (445) reverse_line(all_1_2_2) = all_243_3_334 & unequally_directed_lines(all_1_1_1, all_243_3_334) = all_243_0_331 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_243_1_332 & unequally_directed_lines(all_1_2_2, all_243_3_334) = all_243_2_333 & unequally_directed_lines(all_1_2_2, all_43_4_38) = all_243_4_335 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_243_5_336 & ( ~ (all_243_4_335 = 0) | ~ (all_243_5_336 = 0) | (all_243_0_331 = 0 & all_243_1_332 = 0) | (all_243_2_333 = 0 & all_39_0_22 = 0))
% 67.35/24.22 |
% 67.35/24.22 | Applying alpha-rule on (445) yields:
% 67.35/24.22 | (446) unequally_directed_lines(all_1_2_2, all_243_3_334) = all_243_2_333
% 67.35/24.22 | (447) unequally_directed_lines(all_1_2_2, all_43_4_38) = all_243_4_335
% 67.35/24.22 | (448) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_243_1_332
% 67.35/24.22 | (449) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_243_5_336
% 67.35/24.22 | (450) ~ (all_243_4_335 = 0) | ~ (all_243_5_336 = 0) | (all_243_0_331 = 0 & all_243_1_332 = 0) | (all_243_2_333 = 0 & all_39_0_22 = 0)
% 67.35/24.22 | (451) reverse_line(all_1_2_2) = all_243_3_334
% 67.35/24.22 | (452) unequally_directed_lines(all_1_1_1, all_243_3_334) = all_243_0_331
% 67.35/24.22 |
% 67.35/24.22 | Instantiating (375) with all_245_0_337, all_245_1_338, all_245_2_339, all_245_3_340, all_245_4_341 yields:
% 67.35/24.22 | (453) reverse_line(all_1_2_2) = all_245_3_340 & unequally_directed_lines(all_1_1_1, all_245_3_340) = all_245_2_339 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_245_1_338 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_245_4_341 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_245_0_337 & ( ~ (all_245_2_339 = 0) | ~ (all_245_4_341 = 0) | (all_245_0_337 = 0 & all_39_0_22 = 0) | (all_245_1_338 = 0 & all_37_2_18 = 0))
% 67.35/24.22 |
% 67.35/24.22 | Applying alpha-rule on (453) yields:
% 67.35/24.22 | (454) unequally_directed_lines(all_1_1_1, all_245_3_340) = all_245_2_339
% 67.35/24.22 | (455) reverse_line(all_1_2_2) = all_245_3_340
% 67.35/24.22 | (456) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_245_1_338
% 67.35/24.22 | (457) ~ (all_245_2_339 = 0) | ~ (all_245_4_341 = 0) | (all_245_0_337 = 0 & all_39_0_22 = 0) | (all_245_1_338 = 0 & all_37_2_18 = 0)
% 67.35/24.22 | (458) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_245_4_341
% 67.35/24.22 | (459) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_245_0_337
% 67.35/24.22 |
% 67.35/24.22 | Instantiating (374) with all_247_0_342, all_247_1_343, all_247_2_344, all_247_3_345, all_247_4_346 yields:
% 67.35/24.22 | (460) reverse_line(all_1_1_1) = all_247_3_345 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_247_0_342 & unequally_directed_lines(all_1_2_2, all_247_3_345) = all_247_2_344 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_247_1_343 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_247_4_346 & ( ~ (all_247_2_344 = 0) | ~ (all_247_4_346 = 0) | (all_247_0_342 = 0 & all_37_2_18 = 0) | (all_247_1_343 = 0 & all_39_0_22 = 0))
% 67.35/24.22 |
% 67.35/24.22 | Applying alpha-rule on (460) yields:
% 67.35/24.22 | (461) unequally_directed_lines(all_1_2_2, all_247_3_345) = all_247_2_344
% 67.35/24.22 | (462) reverse_line(all_1_1_1) = all_247_3_345
% 67.35/24.22 | (463) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_247_0_342
% 67.35/24.22 | (464) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_247_1_343
% 67.35/24.22 | (465) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_247_4_346
% 67.35/24.22 | (466) ~ (all_247_2_344 = 0) | ~ (all_247_4_346 = 0) | (all_247_0_342 = 0 & all_37_2_18 = 0) | (all_247_1_343 = 0 & all_39_0_22 = 0)
% 67.35/24.22 |
% 67.35/24.22 | Instantiating (369) with all_249_0_347, all_249_1_348, all_249_2_349, all_249_3_350, all_249_4_351, all_249_5_352 yields:
% 67.35/24.22 | (467) reverse_line(all_1_2_2) = all_249_3_350 & unequally_directed_lines(all_1_1_1, all_249_3_350) = all_249_0_347 & unequally_directed_lines(all_1_1_1, all_249_3_350) = all_249_2_349 & unequally_directed_lines(all_1_1_1, all_43_4_38) = all_249_4_351 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_249_5_352 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_249_1_348 & ( ~ (all_249_4_351 = 0) | ~ (all_249_5_352 = 0) | (all_249_0_347 = 0 & all_249_1_348 = 0) | (all_249_2_349 = 0 & all_35_2_14 = 0))
% 67.35/24.22 |
% 67.35/24.22 | Applying alpha-rule on (467) yields:
% 67.35/24.22 | (468) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_249_1_348
% 67.35/24.22 | (469) unequally_directed_lines(all_1_1_1, all_249_3_350) = all_249_2_349
% 67.35/24.22 | (470) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_249_5_352
% 67.35/24.22 | (471) ~ (all_249_4_351 = 0) | ~ (all_249_5_352 = 0) | (all_249_0_347 = 0 & all_249_1_348 = 0) | (all_249_2_349 = 0 & all_35_2_14 = 0)
% 67.35/24.22 | (472) unequally_directed_lines(all_1_1_1, all_43_4_38) = all_249_4_351
% 67.35/24.22 | (473) reverse_line(all_1_2_2) = all_249_3_350
% 67.35/24.22 | (474) unequally_directed_lines(all_1_1_1, all_249_3_350) = all_249_0_347
% 67.35/24.22 |
% 67.35/24.22 | Instantiating (377) with all_263_0_382, all_263_1_383, all_263_2_384, all_263_3_385, all_263_4_386 yields:
% 67.35/24.22 | (475) reverse_line(all_1_1_1) = all_263_3_385 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_263_0_382 & unequally_directed_lines(all_1_2_2, all_263_3_385) = all_263_2_384 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_263_4_386 & unequally_directed_lines(all_1_2_2, all_1_3_3) = all_263_1_383 & ( ~ (all_263_2_384 = 0) | ~ (all_263_4_386 = 0) | all_263_0_382 = 0 | (all_263_1_383 = 0 & all_39_0_22 = 0))
% 67.35/24.22 |
% 67.35/24.22 | Applying alpha-rule on (475) yields:
% 67.35/24.22 | (476) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_263_4_386
% 67.35/24.22 | (477) reverse_line(all_1_1_1) = all_263_3_385
% 67.35/24.23 | (478) unequally_directed_lines(all_1_2_2, all_263_3_385) = all_263_2_384
% 67.35/24.23 | (479) unequally_directed_lines(all_1_2_2, all_1_3_3) = all_263_1_383
% 67.35/24.23 | (480) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_263_0_382
% 67.35/24.23 | (481) ~ (all_263_2_384 = 0) | ~ (all_263_4_386 = 0) | all_263_0_382 = 0 | (all_263_1_383 = 0 & all_39_0_22 = 0)
% 67.35/24.23 |
% 67.35/24.23 | Instantiating (362) with all_275_0_415, all_275_1_416, all_275_2_417, all_275_3_418, all_275_4_419 yields:
% 67.35/24.23 | (482) reverse_line(all_1_1_1) = all_275_3_418 & unequally_directed_lines(all_1_1_1, all_275_3_418) = all_275_2_417 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_275_1_416 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_275_4_419 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_275_0_415 & ( ~ (all_275_2_417 = 0) | ~ (all_275_4_419 = 0) | (all_275_0_415 = 0 & all_37_2_18 = 0) | (all_275_1_416 = 0 & all_35_2_14 = 0))
% 67.35/24.23 |
% 67.35/24.23 | Applying alpha-rule on (482) yields:
% 67.35/24.23 | (483) unequally_directed_lines(all_1_1_1, all_275_3_418) = all_275_2_417
% 67.35/24.23 | (484) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_275_1_416
% 67.35/24.23 | (485) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_275_4_419
% 67.35/24.23 | (486) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_275_0_415
% 67.35/24.23 | (487) ~ (all_275_2_417 = 0) | ~ (all_275_4_419 = 0) | (all_275_0_415 = 0 & all_37_2_18 = 0) | (all_275_1_416 = 0 & all_35_2_14 = 0)
% 67.35/24.23 | (488) reverse_line(all_1_1_1) = all_275_3_418
% 67.35/24.23 |
% 67.35/24.23 | Instantiating (376) with all_281_0_432, all_281_1_433, all_281_2_434, all_281_3_435, all_281_4_436 yields:
% 67.35/24.23 | (489) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_281_0_432 & unequally_directed_lines(all_1_1_1, all_1_3_3) = all_281_1_433 & unequally_directed_lines(all_1_2_2, all_43_4_38) = all_281_3_435 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_281_4_436 & unequally_directed_lines(all_1_2_2, all_1_3_3) = all_281_2_434 & ( ~ (all_281_3_435 = 0) | ~ (all_281_4_436 = 0) | (all_281_0_432 = 0 & all_281_1_433 = 0) | (all_281_2_434 = 0 & all_39_0_22 = 0))
% 67.35/24.23 |
% 67.35/24.23 | Applying alpha-rule on (489) yields:
% 67.35/24.23 | (490) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_281_0_432
% 67.35/24.23 | (491) unequally_directed_lines(all_1_1_1, all_1_3_3) = all_281_1_433
% 67.35/24.23 | (492) ~ (all_281_3_435 = 0) | ~ (all_281_4_436 = 0) | (all_281_0_432 = 0 & all_281_1_433 = 0) | (all_281_2_434 = 0 & all_39_0_22 = 0)
% 67.35/24.23 | (493) unequally_directed_lines(all_1_2_2, all_1_3_3) = all_281_2_434
% 67.35/24.23 | (494) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_281_4_436
% 67.35/24.23 | (495) unequally_directed_lines(all_1_2_2, all_43_4_38) = all_281_3_435
% 67.35/24.23 |
% 67.35/24.23 | Instantiating (361) with all_283_0_437, all_283_1_438, all_283_2_439, all_283_3_440, all_283_4_441, all_283_5_442 yields:
% 67.35/24.23 | (496) reverse_line(all_1_1_1) = all_283_3_440 & unequally_directed_lines(all_1_1_1, all_283_3_440) = all_283_2_439 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_283_4_441 & unequally_directed_lines(all_1_1_1, all_1_3_3) = all_283_5_442 & unequally_directed_lines(all_1_3_3, all_283_3_440) = all_283_0_437 & unequally_directed_lines(all_1_3_3, all_1_1_1) = all_283_1_438 & ( ~ (all_283_4_441 = 0) | ~ (all_283_5_442 = 0) | (all_283_0_437 = 0 & all_283_1_438 = 0) | (all_283_2_439 = 0 & all_37_2_18 = 0))
% 67.35/24.23 |
% 67.35/24.23 | Applying alpha-rule on (496) yields:
% 67.35/24.23 | (497) ~ (all_283_4_441 = 0) | ~ (all_283_5_442 = 0) | (all_283_0_437 = 0 & all_283_1_438 = 0) | (all_283_2_439 = 0 & all_37_2_18 = 0)
% 67.35/24.23 | (498) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_283_4_441
% 67.35/24.23 | (499) unequally_directed_lines(all_1_3_3, all_1_1_1) = all_283_1_438
% 67.35/24.23 | (500) unequally_directed_lines(all_1_1_1, all_1_3_3) = all_283_5_442
% 67.35/24.23 | (501) unequally_directed_lines(all_1_1_1, all_283_3_440) = all_283_2_439
% 67.35/24.23 | (502) unequally_directed_lines(all_1_3_3, all_283_3_440) = all_283_0_437
% 67.35/24.23 | (503) reverse_line(all_1_1_1) = all_283_3_440
% 67.35/24.23 |
% 67.35/24.23 | Instantiating (360) with all_285_0_443, all_285_1_444, all_285_2_445, all_285_3_446, all_285_4_447, all_285_5_448 yields:
% 67.35/24.23 | (504) reverse_line(all_1_1_1) = all_285_3_446 & unequally_directed_lines(all_1_1_1, all_285_3_446) = all_285_2_445 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_285_4_447 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_285_5_448 & unequally_directed_lines(all_1_2_2, all_285_3_446) = all_285_0_443 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_285_1_444 & ( ~ (all_285_4_447 = 0) | ~ (all_285_5_448 = 0) | (all_285_0_443 = 0 & all_285_1_444 = 0) | (all_285_2_445 = 0 & all_37_2_18 = 0))
% 67.35/24.23 |
% 67.35/24.23 | Applying alpha-rule on (504) yields:
% 67.35/24.23 | (505) unequally_directed_lines(all_1_1_1, all_285_3_446) = all_285_2_445
% 67.35/24.23 | (506) reverse_line(all_1_1_1) = all_285_3_446
% 67.35/24.23 | (507) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_285_4_447
% 67.35/24.23 | (508) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_285_1_444
% 67.35/24.23 | (509) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_285_5_448
% 67.35/24.23 | (510) unequally_directed_lines(all_1_2_2, all_285_3_446) = all_285_0_443
% 67.35/24.23 | (511) ~ (all_285_4_447 = 0) | ~ (all_285_5_448 = 0) | (all_285_0_443 = 0 & all_285_1_444 = 0) | (all_285_2_445 = 0 & all_37_2_18 = 0)
% 67.35/24.23 |
% 67.35/24.23 | Instantiating (358) with all_287_0_449, all_287_1_450, all_287_2_451, all_287_3_452, all_287_4_453 yields:
% 67.35/24.23 | (512) reverse_line(all_1_1_1) = all_287_3_452 & unequally_directed_lines(all_1_1_1, all_287_3_452) = all_287_2_451 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_287_4_453 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_287_0_449 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_287_1_450 & ( ~ (all_287_2_451 = 0) | ~ (all_287_4_453 = 0) | (all_287_0_449 = 0 & all_37_2_18 = 0) | (all_287_1_450 = 0 & all_37_2_18 = 0))
% 67.35/24.23 |
% 67.35/24.23 | Applying alpha-rule on (512) yields:
% 67.35/24.23 | (513) ~ (all_287_2_451 = 0) | ~ (all_287_4_453 = 0) | (all_287_0_449 = 0 & all_37_2_18 = 0) | (all_287_1_450 = 0 & all_37_2_18 = 0)
% 67.35/24.23 | (514) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_287_1_450
% 67.35/24.23 | (515) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_287_0_449
% 67.35/24.23 | (516) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_287_4_453
% 67.35/24.23 | (517) reverse_line(all_1_1_1) = all_287_3_452
% 67.35/24.23 | (518) unequally_directed_lines(all_1_1_1, all_287_3_452) = all_287_2_451
% 67.35/24.23 |
% 67.35/24.23 | Instantiating (357) with all_289_0_454, all_289_1_455, all_289_2_456, all_289_3_457, all_289_4_458 yields:
% 67.35/24.23 | (519) unequally_directed_lines(all_1_1_1, all_43_4_38) = all_289_3_457 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_289_0_454 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_289_4_458 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_289_1_455 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_289_2_456 & ( ~ (all_289_3_457 = 0) | ~ (all_289_4_458 = 0) | (all_289_0_454 = 0 & all_289_1_455 = 0) | (all_289_2_456 = 0 & all_37_2_18 = 0))
% 67.35/24.23 |
% 67.35/24.23 | Applying alpha-rule on (519) yields:
% 67.35/24.23 | (520) ~ (all_289_3_457 = 0) | ~ (all_289_4_458 = 0) | (all_289_0_454 = 0 & all_289_1_455 = 0) | (all_289_2_456 = 0 & all_37_2_18 = 0)
% 67.35/24.23 | (521) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_289_2_456
% 67.35/24.23 | (522) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_289_0_454
% 67.35/24.23 | (523) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_289_4_458
% 67.35/24.23 | (524) unequally_directed_lines(all_1_1_1, all_43_4_38) = all_289_3_457
% 67.35/24.23 | (525) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_289_1_455
% 67.35/24.23 |
% 67.35/24.23 | Instantiating (356) with all_291_0_459, all_291_1_460, all_291_2_461, all_291_3_462, all_291_4_463 yields:
% 67.35/24.23 | (526) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_291_3_462 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_291_2_461 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_291_4_463 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_291_0_459 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_291_1_460 & ( ~ (all_291_3_462 = 0) | ~ (all_291_4_463 = 0) | (all_291_0_459 = 0 & all_291_1_460 = 0) | (all_291_2_461 = 0 & all_37_2_18 = 0))
% 67.35/24.23 |
% 67.35/24.23 | Applying alpha-rule on (526) yields:
% 67.35/24.23 | (527) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_291_4_463
% 67.35/24.23 | (528) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_291_3_462
% 67.35/24.23 | (529) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_291_2_461
% 67.35/24.23 | (530) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_291_1_460
% 67.35/24.23 | (531) ~ (all_291_3_462 = 0) | ~ (all_291_4_463 = 0) | (all_291_0_459 = 0 & all_291_1_460 = 0) | (all_291_2_461 = 0 & all_37_2_18 = 0)
% 67.35/24.23 | (532) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_291_0_459
% 67.35/24.23 |
% 67.35/24.23 | Instantiating (367) with all_295_0_466, all_295_1_467, all_295_2_468, all_295_3_469, all_295_4_470 yields:
% 67.35/24.23 | (533) reverse_line(all_1_1_1) = all_295_3_469 & unequally_directed_lines(all_1_1_1, all_295_3_469) = all_295_2_468 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_295_4_470 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_295_0_466 & unequally_directed_lines(all_1_1_1, all_1_3_3) = all_295_1_467 & ( ~ (all_295_2_468 = 0) | ~ (all_295_4_470 = 0) | all_295_0_466 = 0 | (all_295_1_467 = 0 & all_35_2_14 = 0))
% 67.35/24.23 |
% 67.35/24.23 | Applying alpha-rule on (533) yields:
% 67.35/24.23 | (534) unequally_directed_lines(all_1_1_1, all_295_3_469) = all_295_2_468
% 67.35/24.23 | (535) unequally_directed_lines(all_1_1_1, all_1_3_3) = all_295_1_467
% 67.35/24.23 | (536) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_295_4_470
% 67.35/24.23 | (537) ~ (all_295_2_468 = 0) | ~ (all_295_4_470 = 0) | all_295_0_466 = 0 | (all_295_1_467 = 0 & all_35_2_14 = 0)
% 67.35/24.23 | (538) reverse_line(all_1_1_1) = all_295_3_469
% 67.35/24.23 | (539) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_295_0_466
% 67.35/24.23 |
% 67.35/24.23 | Instantiating (365) with all_297_0_471, all_297_1_472, all_297_2_473, all_297_3_474, all_297_4_475 yields:
% 67.35/24.23 | (540) unequally_directed_lines(all_1_1_1, all_43_4_38) = all_297_3_474 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_297_4_475 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_297_0_471 & unequally_directed_lines(all_1_1_1, all_1_3_3) = all_297_1_472 & unequally_directed_lines(all_1_1_1, all_1_3_3) = all_297_2_473 & ( ~ (all_297_3_474 = 0) | ~ (all_297_4_475 = 0) | (all_297_0_471 = 0 & all_297_1_472 = 0) | (all_297_2_473 = 0 & all_35_2_14 = 0))
% 67.35/24.23 |
% 67.35/24.23 | Applying alpha-rule on (540) yields:
% 67.35/24.23 | (541) unequally_directed_lines(all_1_1_1, all_1_3_3) = all_297_2_473
% 67.35/24.23 | (542) ~ (all_297_3_474 = 0) | ~ (all_297_4_475 = 0) | (all_297_0_471 = 0 & all_297_1_472 = 0) | (all_297_2_473 = 0 & all_35_2_14 = 0)
% 67.35/24.23 | (543) unequally_directed_lines(all_1_1_1, all_43_4_38) = all_297_3_474
% 67.35/24.23 | (544) unequally_directed_lines(all_1_1_1, all_1_3_3) = all_297_1_472
% 67.35/24.23 | (545) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_297_4_475
% 67.35/24.23 | (546) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_297_0_471
% 67.35/24.23 |
% 67.35/24.23 | Instantiating (364) with all_301_0_478, all_301_1_479, all_301_2_480, all_301_3_481, all_301_4_482, all_301_5_483 yields:
% 67.35/24.23 | (547) reverse_line(all_1_2_2) = all_301_3_481 & unequally_directed_lines(all_1_1_1, all_301_3_481) = all_301_2_480 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_301_4_482 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_301_5_483 & unequally_directed_lines(all_1_2_2, all_301_3_481) = all_301_0_478 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_301_1_479 & ( ~ (all_301_4_482 = 0) | ~ (all_301_5_483 = 0) | (all_301_0_478 = 0 & all_301_1_479 = 0) | (all_301_2_480 = 0 & all_35_2_14 = 0))
% 67.35/24.23 |
% 67.35/24.23 | Applying alpha-rule on (547) yields:
% 67.35/24.23 | (548) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_301_5_483
% 67.35/24.23 | (549) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_301_4_482
% 67.35/24.23 | (550) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_301_1_479
% 67.35/24.23 | (551) unequally_directed_lines(all_1_1_1, all_301_3_481) = all_301_2_480
% 67.35/24.23 | (552) ~ (all_301_4_482 = 0) | ~ (all_301_5_483 = 0) | (all_301_0_478 = 0 & all_301_1_479 = 0) | (all_301_2_480 = 0 & all_35_2_14 = 0)
% 67.35/24.23 | (553) reverse_line(all_1_2_2) = all_301_3_481
% 67.35/24.23 | (554) unequally_directed_lines(all_1_2_2, all_301_3_481) = all_301_0_478
% 67.35/24.23 |
% 67.35/24.23 | Instantiating (366) with all_303_0_484, all_303_1_485, all_303_2_486, all_303_3_487, all_303_4_488 yields:
% 67.35/24.23 | (555) reverse_line(all_1_1_1) = all_303_3_487 & unequally_directed_lines(all_1_1_1, all_303_3_487) = all_303_2_486 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_303_4_488 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_303_1_485 & unequally_directed_lines(all_1_1_1, all_1_3_3) = all_303_0_484 & ( ~ (all_303_2_486 = 0) | ~ (all_303_4_488 = 0) | all_303_1_485 = 0 | (all_303_0_484 = 0 & all_35_2_14 = 0))
% 67.35/24.23 |
% 67.35/24.23 | Applying alpha-rule on (555) yields:
% 67.35/24.23 | (556) ~ (all_303_2_486 = 0) | ~ (all_303_4_488 = 0) | all_303_1_485 = 0 | (all_303_0_484 = 0 & all_35_2_14 = 0)
% 67.35/24.23 | (557) unequally_directed_lines(all_1_1_1, all_1_3_3) = all_303_0_484
% 67.35/24.23 | (558) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_303_1_485
% 67.35/24.23 | (559) reverse_line(all_1_1_1) = all_303_3_487
% 67.35/24.23 | (560) unequally_directed_lines(all_1_1_1, all_303_3_487) = all_303_2_486
% 67.35/24.23 | (561) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_303_4_488
% 67.35/24.23 |
% 67.35/24.23 | Instantiating (352) with all_307_0_495, all_307_1_496, all_307_2_497, all_307_3_498, all_307_4_499, all_307_5_500 yields:
% 67.35/24.23 | (562) reverse_line(all_43_4_38) = all_307_3_498 & unequally_directed_lines(all_1_1_1, all_307_3_498) = all_307_2_497 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_307_4_499 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_307_5_500 & unequally_directed_lines(all_1_2_2, all_307_3_498) = all_307_0_495 & unequally_directed_lines(all_1_2_2, all_43_4_38) = all_307_1_496 & ( ~ (all_307_4_499 = 0) | ~ (all_307_5_500 = 0) | (all_307_0_495 = 0 & all_307_1_496 = 0) | (all_307_2_497 = 0 & all_43_3_37 = 0))
% 67.35/24.24 |
% 67.35/24.24 | Applying alpha-rule on (562) yields:
% 67.35/24.24 | (563) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_307_4_499
% 67.35/24.24 | (564) unequally_directed_lines(all_1_2_2, all_43_4_38) = all_307_1_496
% 67.35/24.24 | (565) ~ (all_307_4_499 = 0) | ~ (all_307_5_500 = 0) | (all_307_0_495 = 0 & all_307_1_496 = 0) | (all_307_2_497 = 0 & all_43_3_37 = 0)
% 67.35/24.24 | (566) reverse_line(all_43_4_38) = all_307_3_498
% 67.35/24.24 | (567) unequally_directed_lines(all_1_1_1, all_307_3_498) = all_307_2_497
% 67.35/24.24 | (568) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_307_5_500
% 67.35/24.24 | (569) unequally_directed_lines(all_1_2_2, all_307_3_498) = all_307_0_495
% 67.35/24.24 |
% 67.35/24.24 | Instantiating (355) with all_313_0_513, all_313_1_514, all_313_2_515, all_313_3_516, all_313_4_517 yields:
% 67.35/24.24 | (570) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_313_2_515 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_313_3_516 & unequally_directed_lines(all_1_1_1, all_1_3_3) = all_313_4_517 & unequally_directed_lines(all_1_3_3, all_43_4_38) = all_313_0_513 & unequally_directed_lines(all_1_3_3, all_1_1_1) = all_313_1_514 & ( ~ (all_313_3_516 = 0) | ~ (all_313_4_517 = 0) | (all_313_0_513 = 0 & all_313_1_514 = 0) | (all_313_2_515 = 0 & all_43_3_37 = 0))
% 67.35/24.24 |
% 67.35/24.24 | Applying alpha-rule on (570) yields:
% 67.35/24.24 | (571) unequally_directed_lines(all_1_1_1, all_1_3_3) = all_313_4_517
% 67.35/24.24 | (572) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_313_2_515
% 67.35/24.24 | (573) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_313_3_516
% 67.35/24.24 | (574) unequally_directed_lines(all_1_3_3, all_1_1_1) = all_313_1_514
% 67.35/24.24 | (575) unequally_directed_lines(all_1_3_3, all_43_4_38) = all_313_0_513
% 67.35/24.24 | (576) ~ (all_313_3_516 = 0) | ~ (all_313_4_517 = 0) | (all_313_0_513 = 0 & all_313_1_514 = 0) | (all_313_2_515 = 0 & all_43_3_37 = 0)
% 67.35/24.24 |
% 67.35/24.24 | Instantiating (354) with all_315_0_518, all_315_1_519, all_315_2_520, all_315_3_521, all_315_4_522 yields:
% 67.35/24.24 | (577) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_315_2_520 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_315_3_521 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_315_4_522 & unequally_directed_lines(all_1_2_2, all_43_4_38) = all_315_0_518 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_315_1_519 & ( ~ (all_315_3_521 = 0) | ~ (all_315_4_522 = 0) | (all_315_0_518 = 0 & all_315_1_519 = 0) | (all_315_2_520 = 0 & all_43_3_37 = 0))
% 67.35/24.24 |
% 67.35/24.24 | Applying alpha-rule on (577) yields:
% 67.35/24.24 | (578) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_315_4_522
% 67.35/24.24 | (579) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_315_3_521
% 67.35/24.24 | (580) ~ (all_315_3_521 = 0) | ~ (all_315_4_522 = 0) | (all_315_0_518 = 0 & all_315_1_519 = 0) | (all_315_2_520 = 0 & all_43_3_37 = 0)
% 67.35/24.24 | (581) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_315_1_519
% 67.35/24.24 | (582) unequally_directed_lines(all_1_2_2, all_43_4_38) = all_315_0_518
% 67.35/24.24 | (583) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_315_2_520
% 67.35/24.24 |
% 67.35/24.24 | Instantiating (353) with all_317_0_523, all_317_1_524, all_317_2_525, all_317_3_526, all_317_4_527, all_317_5_528 yields:
% 67.35/24.24 | (584) reverse_line(all_43_4_38) = all_317_3_526 & unequally_directed_lines(all_1_1_1, all_317_3_526) = all_317_2_525 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_317_4_527 & unequally_directed_lines(all_1_1_1, all_1_3_3) = all_317_5_528 & unequally_directed_lines(all_1_3_3, all_317_3_526) = all_317_0_523 & unequally_directed_lines(all_1_3_3, all_43_4_38) = all_317_1_524 & ( ~ (all_317_4_527 = 0) | ~ (all_317_5_528 = 0) | (all_317_0_523 = 0 & all_317_1_524 = 0) | (all_317_2_525 = 0 & all_43_3_37 = 0))
% 67.35/24.24 |
% 67.35/24.24 | Applying alpha-rule on (584) yields:
% 67.35/24.24 | (585) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_317_4_527
% 67.35/24.24 | (586) unequally_directed_lines(all_1_1_1, all_1_3_3) = all_317_5_528
% 67.35/24.24 | (587) ~ (all_317_4_527 = 0) | ~ (all_317_5_528 = 0) | (all_317_0_523 = 0 & all_317_1_524 = 0) | (all_317_2_525 = 0 & all_43_3_37 = 0)
% 67.35/24.24 | (588) reverse_line(all_43_4_38) = all_317_3_526
% 67.35/24.24 | (589) unequally_directed_lines(all_1_3_3, all_317_3_526) = all_317_0_523
% 67.35/24.24 | (590) unequally_directed_lines(all_1_1_1, all_317_3_526) = all_317_2_525
% 67.35/24.24 | (591) unequally_directed_lines(all_1_3_3, all_43_4_38) = all_317_1_524
% 67.35/24.24 |
% 67.35/24.24 +-Applying beta-rule and splitting (386), into two cases.
% 67.35/24.24 |-Branch one:
% 67.35/24.24 | (592) unequally_directed_lines(all_1_1_1, all_1_2_2) = 0
% 67.35/24.24 |
% 67.35/24.24 +-Applying beta-rule and splitting (351), into two cases.
% 67.35/24.24 |-Branch one:
% 67.35/24.24 | (593) all_35_0_12 = 0
% 67.35/24.24 |
% 67.35/24.24 | Equations (593) can reduce 347 to:
% 67.35/24.24 | (594) $false
% 67.35/24.24 |
% 67.35/24.24 |-The branch is then unsatisfiable
% 67.35/24.24 |-Branch two:
% 67.35/24.24 | (347) ~ (all_35_0_12 = 0)
% 67.35/24.24 | (596) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (left_convergent_lines(all_1_1_1, v1) = v3 & reverse_line(all_1_2_2) = v1 & unequally_directed_lines(all_1_1_1, v1) = v2 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | v3 = 0))
% 67.35/24.24 |
% 67.35/24.24 | Instantiating (596) with all_338_0_544, all_338_1_545, all_338_2_546, all_338_3_547 yields:
% 67.35/24.24 | (597) left_convergent_lines(all_1_1_1, all_338_2_546) = all_338_0_544 & reverse_line(all_1_2_2) = all_338_2_546 & unequally_directed_lines(all_1_1_1, all_338_2_546) = all_338_1_545 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_338_3_547 & ( ~ (all_338_1_545 = 0) | ~ (all_338_3_547 = 0) | all_338_0_544 = 0)
% 67.35/24.24 |
% 67.35/24.24 | Applying alpha-rule on (597) yields:
% 67.35/24.24 | (598) unequally_directed_lines(all_1_1_1, all_338_2_546) = all_338_1_545
% 67.35/24.24 | (599) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_338_3_547
% 67.35/24.24 | (600) left_convergent_lines(all_1_1_1, all_338_2_546) = all_338_0_544
% 67.35/24.24 | (601) ~ (all_338_1_545 = 0) | ~ (all_338_3_547 = 0) | all_338_0_544 = 0
% 67.35/24.24 | (602) reverse_line(all_1_2_2) = all_338_2_546
% 67.35/24.24 |
% 67.35/24.24 +-Applying beta-rule and splitting (350), into two cases.
% 67.35/24.24 |-Branch one:
% 67.35/24.24 | (593) all_35_0_12 = 0
% 67.35/24.24 |
% 67.35/24.24 | Equations (593) can reduce 347 to:
% 67.35/24.24 | (594) $false
% 67.35/24.24 |
% 67.35/24.24 |-The branch is then unsatisfiable
% 67.35/24.24 |-Branch two:
% 67.35/24.24 | (347) ~ (all_35_0_12 = 0)
% 67.35/24.24 | (606) ? [v0] : ( ~ (v0 = 0) & right_convergent_lines(all_1_1_1, all_1_3_3) = v0)
% 67.35/24.24 |
% 67.35/24.24 +-Applying beta-rule and splitting (373), into two cases.
% 67.35/24.24 |-Branch one:
% 67.35/24.24 | (607) all_35_2_14 = 0
% 67.35/24.24 |
% 67.35/24.24 | Equations (607) can reduce 349 to:
% 67.35/24.24 | (594) $false
% 67.35/24.24 |
% 67.35/24.24 |-The branch is then unsatisfiable
% 67.35/24.24 |-Branch two:
% 67.35/24.24 | (349) ~ (all_35_2_14 = 0)
% 67.35/24.24 | (610) ? [v0] : (reverse_line(all_1_2_2) = v0 & unequally_directed_lines(all_1_1_1, v0) = 0)
% 67.35/24.24 |
% 67.35/24.24 +-Applying beta-rule and splitting (372), into two cases.
% 67.35/24.24 |-Branch one:
% 67.35/24.24 | (607) all_35_2_14 = 0
% 67.35/24.24 |
% 67.35/24.24 | Equations (607) can reduce 349 to:
% 67.35/24.24 | (594) $false
% 67.35/24.24 |
% 67.35/24.24 |-The branch is then unsatisfiable
% 67.35/24.24 |-Branch two:
% 67.35/24.24 | (349) ~ (all_35_2_14 = 0)
% 67.35/24.24 | (614) ? [v0] : ( ~ (v0 = 0) & unequally_directed_lines(all_1_1_1, all_1_1_1) = v0)
% 67.35/24.24 |
% 67.35/24.24 +-Applying beta-rule and splitting (368), into two cases.
% 67.35/24.24 |-Branch one:
% 67.35/24.24 | (607) all_35_2_14 = 0
% 67.35/24.24 |
% 67.35/24.24 | Equations (607) can reduce 349 to:
% 67.35/24.24 | (594) $false
% 67.35/24.24 |
% 67.35/24.24 |-The branch is then unsatisfiable
% 67.35/24.24 |-Branch two:
% 67.35/24.24 | (349) ~ (all_35_2_14 = 0)
% 67.35/24.24 | (618) ? [v0] : ( ~ (v0 = 0) & unequally_directed_opposite_lines(all_1_1_1, all_1_3_3) = v0)
% 67.35/24.24 |
% 67.35/24.24 +-Applying beta-rule and splitting (370), into two cases.
% 67.35/24.24 |-Branch one:
% 67.35/24.24 | (593) all_35_0_12 = 0
% 67.35/24.24 |
% 67.35/24.24 | Equations (593) can reduce 347 to:
% 67.35/24.24 | (594) $false
% 67.35/24.24 |
% 67.35/24.24 |-The branch is then unsatisfiable
% 67.35/24.24 |-Branch two:
% 67.35/24.24 | (347) ~ (all_35_0_12 = 0)
% 67.35/24.24 | (622) all_35_2_14 = 0 | ? [v0] : ( ~ (v0 = 0) & left_convergent_lines(all_1_1_1, all_1_1_1) = v0)
% 67.35/24.24 |
% 67.35/24.24 +-Applying beta-rule and splitting (622), into two cases.
% 67.35/24.24 |-Branch one:
% 67.35/24.24 | (607) all_35_2_14 = 0
% 67.35/24.24 |
% 67.35/24.24 | Equations (607) can reduce 349 to:
% 67.35/24.24 | (594) $false
% 67.35/24.24 |
% 67.35/24.24 |-The branch is then unsatisfiable
% 67.35/24.24 |-Branch two:
% 67.35/24.24 | (349) ~ (all_35_2_14 = 0)
% 67.35/24.24 | (626) ? [v0] : ( ~ (v0 = 0) & left_convergent_lines(all_1_1_1, all_1_1_1) = v0)
% 67.35/24.24 |
% 67.35/24.24 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_315_4_522, all_317_4_527 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_317_4_527, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_315_4_522, yields:
% 67.35/24.24 | (627) all_317_4_527 = all_315_4_522
% 67.35/24.24 |
% 67.35/24.24 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_313_3_516, all_315_4_522 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_315_4_522, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_313_3_516, yields:
% 67.35/24.24 | (628) all_315_4_522 = all_313_3_516
% 67.35/24.24 |
% 67.35/24.24 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_307_5_500, all_313_3_516 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_313_3_516, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_307_5_500, yields:
% 67.35/24.24 | (629) all_313_3_516 = all_307_5_500
% 67.35/24.24 |
% 67.35/24.24 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_303_1_485, all_307_5_500 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_307_5_500, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_303_1_485, yields:
% 67.35/24.24 | (630) all_307_5_500 = all_303_1_485
% 67.35/24.24 |
% 67.35/24.24 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_301_5_483, all_303_1_485 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_303_1_485, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_301_5_483, yields:
% 67.35/24.24 | (631) all_303_1_485 = all_301_5_483
% 67.35/24.24 |
% 67.35/24.24 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_297_0_471, 0 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_297_0_471, unequally_directed_lines(all_1_1_1, all_1_2_2) = 0, yields:
% 67.35/24.24 | (632) all_297_0_471 = 0
% 67.35/24.24 |
% 67.35/24.24 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_297_0_471, all_301_5_483 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_301_5_483, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_297_0_471, yields:
% 67.35/24.24 | (633) all_301_5_483 = all_297_0_471
% 67.35/24.24 |
% 67.35/24.24 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_295_0_466, all_317_4_527 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_317_4_527, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_295_0_466, yields:
% 67.35/24.24 | (634) all_317_4_527 = all_295_0_466
% 67.35/24.24 |
% 67.35/24.24 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_291_2_461, all_338_3_547 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_338_3_547, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_291_2_461, yields:
% 67.35/24.24 | (635) all_338_3_547 = all_291_2_461
% 67.35/24.24 |
% 67.35/24.24 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_291_4_463, all_291_2_461 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_291_2_461, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_291_4_463, yields:
% 67.35/24.24 | (636) all_291_2_461 = all_291_4_463
% 67.35/24.24 |
% 67.35/24.24 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_287_0_449, all_291_4_463 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_291_4_463, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_287_0_449, yields:
% 67.35/24.24 | (637) all_291_4_463 = all_287_0_449
% 67.35/24.24 |
% 67.35/24.24 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_287_1_450, all_289_2_456 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_289_2_456, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_287_1_450, yields:
% 67.35/24.24 | (638) all_289_2_456 = all_287_1_450
% 67.35/24.24 |
% 67.35/24.24 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_285_5_448, all_289_1_455 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_289_1_455, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_285_5_448, yields:
% 67.35/24.24 | (639) all_289_1_455 = all_285_5_448
% 67.35/24.24 |
% 67.35/24.24 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_283_4_441, all_287_1_450 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_287_1_450, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_283_4_441, yields:
% 67.35/24.24 | (640) all_287_1_450 = all_283_4_441
% 67.35/24.24 |
% 67.35/24.24 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_281_0_432, all_283_4_441 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_283_4_441, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_281_0_432, yields:
% 67.35/24.24 | (641) all_283_4_441 = all_281_0_432
% 67.35/24.24 |
% 67.35/24.24 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_275_0_415, all_297_0_471 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_297_0_471, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_275_0_415, yields:
% 67.35/24.24 | (642) all_297_0_471 = all_275_0_415
% 67.35/24.24 |
% 67.35/24.24 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_263_0_382, all_281_0_432 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_281_0_432, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_263_0_382, yields:
% 67.35/24.24 | (643) all_281_0_432 = all_263_0_382
% 67.35/24.24 |
% 67.35/24.24 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_263_0_382, all_275_0_415 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_275_0_415, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_263_0_382, yields:
% 67.35/24.24 | (644) all_275_0_415 = all_263_0_382
% 67.35/24.24 |
% 67.35/24.24 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_249_1_348, all_287_0_449 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_287_0_449, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_249_1_348, yields:
% 67.35/24.24 | (645) all_287_0_449 = all_249_1_348
% 67.35/24.24 |
% 67.35/24.24 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_247_0_342, all_281_0_432 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_281_0_432, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_247_0_342, yields:
% 67.35/24.25 | (646) all_281_0_432 = all_247_0_342
% 67.35/24.25 |
% 67.35/24.25 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_247_0_342, all_249_1_348 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_249_1_348, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_247_0_342, yields:
% 67.35/24.25 | (647) all_249_1_348 = all_247_0_342
% 67.35/24.25 |
% 67.35/24.25 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_245_1_338, all_289_2_456 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_289_2_456, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_245_1_338, yields:
% 67.35/24.25 | (648) all_289_2_456 = all_245_1_338
% 67.35/24.25 |
% 67.35/24.25 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_245_4_341, all_338_3_547 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_338_3_547, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_245_4_341, yields:
% 67.35/24.25 | (649) all_338_3_547 = all_245_4_341
% 67.35/24.25 |
% 67.35/24.25 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_243_1_332, all_247_0_342 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_247_0_342, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_243_1_332, yields:
% 67.35/24.25 | (650) all_247_0_342 = all_243_1_332
% 67.35/24.25 |
% 67.35/24.25 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_241_5_330, all_243_1_332 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_243_1_332, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_241_5_330, yields:
% 67.35/24.25 | (651) all_243_1_332 = all_241_5_330
% 67.35/24.25 |
% 67.35/24.25 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_223_1_277, all_241_5_330 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_241_5_330, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_223_1_277, yields:
% 67.35/24.25 | (652) all_241_5_330 = all_223_1_277
% 67.35/24.25 |
% 67.35/24.25 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_197_1_215, all_223_1_277 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_223_1_277, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_197_1_215, yields:
% 67.35/24.25 | (653) all_223_1_277 = all_197_1_215
% 67.35/24.25 |
% 67.35/24.25 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_195_0_209, all_197_1_215 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_197_1_215, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_195_0_209, yields:
% 67.35/24.25 | (654) all_197_1_215 = all_195_0_209
% 67.35/24.25 |
% 67.35/24.25 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_157_0_106, all_289_1_455 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_289_1_455, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_157_0_106, yields:
% 67.35/24.25 | (655) all_289_1_455 = all_157_0_106
% 67.35/24.25 |
% 67.35/24.25 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_157_0_106, all_195_0_209 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_195_0_209, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_157_0_106, yields:
% 67.35/24.25 | (656) all_195_0_209 = all_157_0_106
% 67.35/24.25 |
% 67.35/24.25 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_153_0_99, all_289_1_455 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_289_1_455, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_153_0_99, yields:
% 67.35/24.25 | (657) all_289_1_455 = all_153_0_99
% 67.35/24.25 |
% 67.35/24.25 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_151_0_94, all_285_5_448 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_285_5_448, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_151_0_94, yields:
% 67.35/24.25 | (658) all_285_5_448 = all_151_0_94
% 67.35/24.25 |
% 67.35/24.25 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_145_1_78, all_35_2_14 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_145_1_78, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_35_2_14, yields:
% 67.35/24.25 | (659) all_145_1_78 = all_35_2_14
% 67.35/24.25 |
% 67.35/24.25 | Instantiating formula (188) with all_1_1_1, all_1_2_2, all_145_1_78, all_285_5_448 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_285_5_448, unequally_directed_lines(all_1_1_1, all_1_2_2) = all_145_1_78, yields:
% 67.35/24.25 | (660) all_285_5_448 = all_145_1_78
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (635,649) yields a new equation:
% 67.35/24.25 | (661) all_291_2_461 = all_245_4_341
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 661 yields:
% 67.35/24.25 | (662) all_291_2_461 = all_245_4_341
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (627,634) yields a new equation:
% 67.35/24.25 | (663) all_315_4_522 = all_295_0_466
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 663 yields:
% 67.35/24.25 | (664) all_315_4_522 = all_295_0_466
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (628,664) yields a new equation:
% 67.35/24.25 | (665) all_313_3_516 = all_295_0_466
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 665 yields:
% 67.35/24.25 | (666) all_313_3_516 = all_295_0_466
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (629,666) yields a new equation:
% 67.35/24.25 | (667) all_307_5_500 = all_295_0_466
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 667 yields:
% 67.35/24.25 | (668) all_307_5_500 = all_295_0_466
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (630,668) yields a new equation:
% 67.35/24.25 | (669) all_303_1_485 = all_295_0_466
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 669 yields:
% 67.35/24.25 | (670) all_303_1_485 = all_295_0_466
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (631,670) yields a new equation:
% 67.35/24.25 | (671) all_301_5_483 = all_295_0_466
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 671 yields:
% 67.35/24.25 | (672) all_301_5_483 = all_295_0_466
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (633,672) yields a new equation:
% 67.35/24.25 | (673) all_297_0_471 = all_295_0_466
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 673 yields:
% 67.35/24.25 | (674) all_297_0_471 = all_295_0_466
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (632,674) yields a new equation:
% 67.35/24.25 | (675) all_295_0_466 = 0
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (642,674) yields a new equation:
% 67.35/24.25 | (676) all_295_0_466 = all_275_0_415
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (676,675) yields a new equation:
% 67.35/24.25 | (677) all_275_0_415 = 0
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 677 yields:
% 67.35/24.25 | (678) all_275_0_415 = 0
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (636,662) yields a new equation:
% 67.35/24.25 | (679) all_291_4_463 = all_245_4_341
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 679 yields:
% 67.35/24.25 | (680) all_291_4_463 = all_245_4_341
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (637,680) yields a new equation:
% 67.35/24.25 | (681) all_287_0_449 = all_245_4_341
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 681 yields:
% 67.35/24.25 | (682) all_287_0_449 = all_245_4_341
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (655,657) yields a new equation:
% 67.35/24.25 | (683) all_157_0_106 = all_153_0_99
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 683 yields:
% 67.35/24.25 | (684) all_157_0_106 = all_153_0_99
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (639,657) yields a new equation:
% 67.35/24.25 | (685) all_285_5_448 = all_153_0_99
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 685 yields:
% 67.35/24.25 | (686) all_285_5_448 = all_153_0_99
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (638,648) yields a new equation:
% 67.35/24.25 | (687) all_287_1_450 = all_245_1_338
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 687 yields:
% 67.35/24.25 | (688) all_287_1_450 = all_245_1_338
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (645,682) yields a new equation:
% 67.35/24.25 | (689) all_249_1_348 = all_245_4_341
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 689 yields:
% 67.35/24.25 | (690) all_249_1_348 = all_245_4_341
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (640,688) yields a new equation:
% 67.35/24.25 | (691) all_283_4_441 = all_245_1_338
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 691 yields:
% 67.35/24.25 | (692) all_283_4_441 = all_245_1_338
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (686,658) yields a new equation:
% 67.35/24.25 | (693) all_153_0_99 = all_151_0_94
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 693 yields:
% 67.35/24.25 | (694) all_153_0_99 = all_151_0_94
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (660,658) yields a new equation:
% 67.35/24.25 | (695) all_151_0_94 = all_145_1_78
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (641,692) yields a new equation:
% 67.35/24.25 | (696) all_281_0_432 = all_245_1_338
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 696 yields:
% 67.35/24.25 | (697) all_281_0_432 = all_245_1_338
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (643,697) yields a new equation:
% 67.35/24.25 | (698) all_263_0_382 = all_245_1_338
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 698 yields:
% 67.35/24.25 | (699) all_263_0_382 = all_245_1_338
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (646,697) yields a new equation:
% 67.35/24.25 | (700) all_247_0_342 = all_245_1_338
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 700 yields:
% 67.35/24.25 | (701) all_247_0_342 = all_245_1_338
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (644,678) yields a new equation:
% 67.35/24.25 | (702) all_263_0_382 = 0
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 702 yields:
% 67.35/24.25 | (703) all_263_0_382 = 0
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (699,703) yields a new equation:
% 67.35/24.25 | (704) all_245_1_338 = 0
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 704 yields:
% 67.35/24.25 | (705) all_245_1_338 = 0
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (647,690) yields a new equation:
% 67.35/24.25 | (706) all_247_0_342 = all_245_4_341
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 706 yields:
% 67.35/24.25 | (707) all_247_0_342 = all_245_4_341
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (701,707) yields a new equation:
% 67.35/24.25 | (708) all_245_1_338 = all_245_4_341
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 708 yields:
% 67.35/24.25 | (709) all_245_1_338 = all_245_4_341
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (650,707) yields a new equation:
% 67.35/24.25 | (710) all_245_4_341 = all_243_1_332
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (709,705) yields a new equation:
% 67.35/24.25 | (711) all_245_4_341 = 0
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 711 yields:
% 67.35/24.25 | (712) all_245_4_341 = 0
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (710,712) yields a new equation:
% 67.35/24.25 | (713) all_243_1_332 = 0
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 713 yields:
% 67.35/24.25 | (714) all_243_1_332 = 0
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (651,714) yields a new equation:
% 67.35/24.25 | (715) all_241_5_330 = 0
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 715 yields:
% 67.35/24.25 | (716) all_241_5_330 = 0
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (652,716) yields a new equation:
% 67.35/24.25 | (717) all_223_1_277 = 0
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 717 yields:
% 67.35/24.25 | (718) all_223_1_277 = 0
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (653,718) yields a new equation:
% 67.35/24.25 | (719) all_197_1_215 = 0
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 719 yields:
% 67.35/24.25 | (720) all_197_1_215 = 0
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (654,720) yields a new equation:
% 67.35/24.25 | (721) all_195_0_209 = 0
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 721 yields:
% 67.35/24.25 | (722) all_195_0_209 = 0
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (656,722) yields a new equation:
% 67.35/24.25 | (723) all_157_0_106 = 0
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 723 yields:
% 67.35/24.25 | (724) all_157_0_106 = 0
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (684,724) yields a new equation:
% 67.35/24.25 | (725) all_153_0_99 = 0
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 725 yields:
% 67.35/24.25 | (726) all_153_0_99 = 0
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (694,726) yields a new equation:
% 67.35/24.25 | (727) all_151_0_94 = 0
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 727 yields:
% 67.35/24.25 | (728) all_151_0_94 = 0
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (695,728) yields a new equation:
% 67.35/24.25 | (729) all_145_1_78 = 0
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 729 yields:
% 67.35/24.25 | (730) all_145_1_78 = 0
% 67.35/24.25 |
% 67.35/24.25 | Combining equations (659,730) yields a new equation:
% 67.35/24.25 | (731) all_35_2_14 = 0
% 67.35/24.25 |
% 67.35/24.25 | Simplifying 731 yields:
% 67.35/24.25 | (607) all_35_2_14 = 0
% 67.35/24.25 |
% 67.35/24.25 | Equations (607) can reduce 349 to:
% 67.35/24.25 | (594) $false
% 67.35/24.25 |
% 67.35/24.25 |-The branch is then unsatisfiable
% 67.35/24.25 |-Branch two:
% 67.35/24.25 | (734) ~ (unequally_directed_lines(all_1_1_1, all_1_2_2) = 0)
% 67.35/24.25 | (735) all_37_1_17 = 0
% 67.35/24.25 |
% 67.35/24.25 +-Applying beta-rule and splitting (351), into two cases.
% 67.35/24.25 |-Branch one:
% 67.35/24.25 | (593) all_35_0_12 = 0
% 67.35/24.25 |
% 67.35/24.25 | Equations (593) can reduce 347 to:
% 67.35/24.25 | (594) $false
% 67.35/24.25 |
% 67.35/24.25 |-The branch is then unsatisfiable
% 67.35/24.25 |-Branch two:
% 67.35/24.25 | (347) ~ (all_35_0_12 = 0)
% 67.35/24.25 | (596) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (left_convergent_lines(all_1_1_1, v1) = v3 & reverse_line(all_1_2_2) = v1 & unequally_directed_lines(all_1_1_1, v1) = v2 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | v3 = 0))
% 67.35/24.25 |
% 67.35/24.25 +-Applying beta-rule and splitting (350), into two cases.
% 67.35/24.25 |-Branch one:
% 67.35/24.25 | (593) all_35_0_12 = 0
% 67.35/24.25 |
% 67.35/24.25 | Equations (593) can reduce 347 to:
% 67.35/24.25 | (594) $false
% 67.35/24.25 |
% 67.35/24.25 |-The branch is then unsatisfiable
% 67.35/24.25 |-Branch two:
% 67.35/24.25 | (347) ~ (all_35_0_12 = 0)
% 67.35/24.25 | (606) ? [v0] : ( ~ (v0 = 0) & right_convergent_lines(all_1_1_1, all_1_3_3) = v0)
% 67.35/24.25 |
% 67.35/24.25 +-Applying beta-rule and splitting (373), into two cases.
% 67.35/24.25 |-Branch one:
% 67.35/24.25 | (607) all_35_2_14 = 0
% 67.35/24.25 |
% 67.35/24.25 | Equations (607) can reduce 349 to:
% 67.35/24.25 | (594) $false
% 67.35/24.25 |
% 67.35/24.25 |-The branch is then unsatisfiable
% 67.35/24.25 |-Branch two:
% 67.35/24.25 | (349) ~ (all_35_2_14 = 0)
% 67.35/24.25 | (610) ? [v0] : (reverse_line(all_1_2_2) = v0 & unequally_directed_lines(all_1_1_1, v0) = 0)
% 67.35/24.25 |
% 67.35/24.25 +-Applying beta-rule and splitting (370), into two cases.
% 67.35/24.25 |-Branch one:
% 67.35/24.25 | (593) all_35_0_12 = 0
% 67.35/24.25 |
% 67.35/24.25 | Equations (593) can reduce 347 to:
% 67.35/24.25 | (594) $false
% 67.35/24.25 |
% 67.35/24.25 |-The branch is then unsatisfiable
% 67.35/24.25 |-Branch two:
% 67.35/24.25 | (347) ~ (all_35_0_12 = 0)
% 67.35/24.25 | (622) all_35_2_14 = 0 | ? [v0] : ( ~ (v0 = 0) & left_convergent_lines(all_1_1_1, all_1_1_1) = v0)
% 67.35/24.25 |
% 67.35/24.25 +-Applying beta-rule and splitting (368), into two cases.
% 67.35/24.25 |-Branch one:
% 67.35/24.25 | (607) all_35_2_14 = 0
% 67.35/24.25 |
% 67.35/24.25 | Equations (607) can reduce 349 to:
% 67.35/24.25 | (594) $false
% 67.35/24.25 |
% 67.35/24.25 |-The branch is then unsatisfiable
% 67.35/24.25 |-Branch two:
% 67.35/24.25 | (349) ~ (all_35_2_14 = 0)
% 67.35/24.25 | (618) ? [v0] : ( ~ (v0 = 0) & unequally_directed_opposite_lines(all_1_1_1, all_1_3_3) = v0)
% 67.35/24.25 |
% 67.35/24.25 +-Applying beta-rule and splitting (622), into two cases.
% 67.35/24.25 |-Branch one:
% 67.35/24.25 | (607) all_35_2_14 = 0
% 67.35/24.25 |
% 67.55/24.25 | Equations (607) can reduce 349 to:
% 67.55/24.25 | (594) $false
% 67.55/24.25 |
% 67.55/24.25 |-The branch is then unsatisfiable
% 67.55/24.25 |-Branch two:
% 67.55/24.25 | (349) ~ (all_35_2_14 = 0)
% 67.55/24.25 | (626) ? [v0] : ( ~ (v0 = 0) & left_convergent_lines(all_1_1_1, all_1_1_1) = v0)
% 67.55/24.25 |
% 67.55/24.25 +-Applying beta-rule and splitting (359), into two cases.
% 67.55/24.25 |-Branch one:
% 67.55/24.25 | (592) unequally_directed_lines(all_1_1_1, all_1_2_2) = 0
% 67.55/24.25 |
% 67.55/24.25 | Using (592) and (734) yields:
% 67.55/24.25 | (337) $false
% 67.55/24.25 |
% 67.55/24.25 |-The branch is then unsatisfiable
% 67.55/24.25 |-Branch two:
% 67.55/24.25 | (734) ~ (unequally_directed_lines(all_1_1_1, all_1_2_2) = 0)
% 67.55/24.25 | (763) all_37_2_18 = 0
% 67.55/24.25 |
% 67.55/24.25 | From (763) and (221) follows:
% 67.55/24.25 | (764) unequally_directed_lines(all_1_1_1, all_1_1_1) = 0
% 67.55/24.26 |
% 67.55/24.26 +-Applying beta-rule and splitting (371), into two cases.
% 67.55/24.26 |-Branch one:
% 67.55/24.26 | (765) ~ (unequally_directed_lines(all_1_1_1, all_1_1_1) = 0)
% 67.55/24.26 |
% 67.55/24.26 | Using (764) and (765) yields:
% 67.55/24.26 | (337) $false
% 67.55/24.26 |
% 67.55/24.26 |-The branch is then unsatisfiable
% 67.55/24.26 |-Branch two:
% 67.55/24.26 | (764) unequally_directed_lines(all_1_1_1, all_1_1_1) = 0
% 67.55/24.26 | (768) all_35_2_14 = 0 | unequally_directed_lines(all_1_1_1, all_1_2_2) = 0
% 67.55/24.26 |
% 67.55/24.26 +-Applying beta-rule and splitting (768), into two cases.
% 67.55/24.26 |-Branch one:
% 67.55/24.26 | (592) unequally_directed_lines(all_1_1_1, all_1_2_2) = 0
% 67.55/24.26 |
% 67.55/24.26 | Using (592) and (734) yields:
% 67.55/24.26 | (337) $false
% 67.55/24.26 |
% 67.55/24.26 |-The branch is then unsatisfiable
% 67.55/24.26 |-Branch two:
% 67.55/24.26 | (734) ~ (unequally_directed_lines(all_1_1_1, all_1_2_2) = 0)
% 67.55/24.26 | (607) all_35_2_14 = 0
% 67.55/24.26 |
% 67.55/24.26 | Equations (607) can reduce 349 to:
% 67.55/24.26 | (594) $false
% 67.55/24.26 |
% 67.55/24.26 |-The branch is then unsatisfiable
% 67.55/24.26 |-Branch two:
% 67.55/24.26 | (607) all_35_2_14 = 0
% 67.55/24.26 | (775) all_35_0_12 = 0 | all_35_1_13 = 0
% 67.55/24.26 |
% 67.55/24.26 +-Applying beta-rule and splitting (775), into two cases.
% 67.55/24.26 |-Branch one:
% 67.55/24.26 | (593) all_35_0_12 = 0
% 67.55/24.26 |
% 67.55/24.26 | Equations (593) can reduce 347 to:
% 67.55/24.26 | (594) $false
% 67.55/24.26 |
% 67.55/24.26 |-The branch is then unsatisfiable
% 67.55/24.26 |-Branch two:
% 67.55/24.26 | (347) ~ (all_35_0_12 = 0)
% 67.55/24.26 | (779) all_35_1_13 = 0
% 67.55/24.26 |
% 67.55/24.26 | Equations (779) can reduce 348 to:
% 67.55/24.26 | (594) $false
% 67.55/24.26 |
% 67.55/24.26 |-The branch is then unsatisfiable
% 67.55/24.26 |-Branch two:
% 67.55/24.26 | (781) ~ (unequally_directed_lines(all_1_1_1, all_1_3_3) = 0)
% 67.55/24.26 | (782) all_1_0_0 = 0
% 67.55/24.26 |
% 67.55/24.26 | Equations (782) can reduce 196 to:
% 67.55/24.26 | (594) $false
% 67.55/24.26 |
% 67.55/24.26 |-The branch is then unsatisfiable
% 67.55/24.26 % SZS output end Proof for theBenchmark
% 67.55/24.26
% 67.55/24.26 23786ms
%------------------------------------------------------------------------------