TSTP Solution File: GEO262+3 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : GEO262+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 03:49:19 EDT 2022
% Result : Theorem 24.69s 6.48s
% Output : Proof 79.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO262+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 04:24:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.66/0.63 ____ _
% 0.66/0.63 ___ / __ \_____(_)___ ________ __________
% 0.66/0.63 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.66/0.63 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.66/0.63 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.66/0.63
% 0.66/0.63 A Theorem Prover for First-Order Logic
% 0.66/0.63 (ePrincess v.1.0)
% 0.66/0.63
% 0.66/0.63 (c) Philipp Rümmer, 2009-2015
% 0.66/0.63 (c) Peter Backeman, 2014-2015
% 0.66/0.63 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.66/0.63 Free software under GNU Lesser General Public License (LGPL).
% 0.66/0.63 Bug reports to peter@backeman.se
% 0.66/0.63
% 0.66/0.63 For more information, visit http://user.uu.se/~petba168/breu/
% 0.66/0.63
% 0.66/0.64 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.76/0.69 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.81/1.02 Prover 0: Preprocessing ...
% 2.66/1.32 Prover 0: Warning: ignoring some quantifiers
% 2.95/1.36 Prover 0: Constructing countermodel ...
% 4.76/1.78 Prover 0: gave up
% 4.76/1.78 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 4.98/1.82 Prover 1: Preprocessing ...
% 5.57/1.98 Prover 1: Constructing countermodel ...
% 6.37/2.11 Prover 1: gave up
% 6.37/2.11 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 6.37/2.15 Prover 2: Preprocessing ...
% 7.42/2.41 Prover 2: Warning: ignoring some quantifiers
% 7.42/2.42 Prover 2: Constructing countermodel ...
% 15.30/4.29 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 15.64/4.34 Prover 3: Preprocessing ...
% 15.86/4.39 Prover 3: Warning: ignoring some quantifiers
% 15.86/4.40 Prover 3: Constructing countermodel ...
% 16.48/4.55 Prover 3: gave up
% 16.48/4.55 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 16.62/4.57 Prover 4: Preprocessing ...
% 17.12/4.72 Prover 4: Warning: ignoring some quantifiers
% 17.12/4.73 Prover 4: Constructing countermodel ...
% 20.65/5.56 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 20.88/5.60 Prover 5: Preprocessing ...
% 21.62/5.76 Prover 5: Constructing countermodel ...
% 24.69/6.48 Prover 5: proved (919ms)
% 24.69/6.48 Prover 2: stopped
% 24.69/6.48 Prover 4: stopped
% 24.69/6.48
% 24.69/6.48 No countermodel exists, formula is valid
% 24.69/6.48 % SZS status Theorem for theBenchmark
% 24.69/6.48
% 24.69/6.48 Generating proof ... found it (size 501)
% 77.47/38.78
% 77.47/38.78 % SZS output start Proof for theBenchmark
% 77.47/38.78 Assumed formulas after preprocessing and simplification:
% 77.47/38.78 | (0) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | v6 = 0 | ~ (left_apart_point(v1, v5) = v7) | ~ (left_apart_point(v0, v5) = v6) | ~ (reverse_line(v3) = v5) | ~ (reverse_line(v2) = v4) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v4) = v15 & left_apart_point(v1, v3) = v13 & left_apart_point(v1, v2) = v11 & left_apart_point(v0, v4) = v14 & left_apart_point(v0, v3) = v12 & left_apart_point(v0, v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | v5 = 0 | ~ (left_apart_point(v1, v6) = v7) | ~ (left_apart_point(v0, v4) = v5) | ~ (reverse_line(v3) = v6) | ~ (reverse_line(v2) = v4) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v4) = v14 & left_apart_point(v1, v3) = v13 & left_apart_point(v1, v2) = v11 & left_apart_point(v0, v6) = v15 & left_apart_point(v0, v3) = v12 & left_apart_point(v0, v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | v5 = 0 | ~ (left_apart_point(v1, v4) = v5) | ~ (left_apart_point(v0, v6) = v7) | ~ (reverse_line(v3) = v6) | ~ (reverse_line(v2) = v4) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v6) = v15 & left_apart_point(v1, v3) = v13 & left_apart_point(v1, v2) = v11 & left_apart_point(v0, v4) = v14 & left_apart_point(v0, v3) = v12 & left_apart_point(v0, v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | v4 = 0 | ~ (left_apart_point(v1, v6) = v7) | ~ (left_apart_point(v0, v3) = v4) | ~ (reverse_line(v3) = v6) | ~ (reverse_line(v2) = v5) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v5) = v14 & left_apart_point(v1, v3) = v12 & left_apart_point(v1, v2) = v11 & left_apart_point(v0, v6) = v15 & left_apart_point(v0, v5) = v13 & left_apart_point(v0, v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | v4 = 0 | ~ (left_apart_point(v1, v3) = v4) | ~ (left_apart_point(v0, v6) = v7) | ~ (reverse_line(v3) = v6) | ~ (reverse_line(v2) = v5) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v6) = v15 & left_apart_point(v1, v5) = v14 & left_apart_point(v1, v2) = v11 & left_apart_point(v0, v5) = v13 & left_apart_point(v0, v3) = v12 & left_apart_point(v0, v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = 0 | v5 = 0 | ~ (left_apart_point(v1, v4) = v6) | ~ (left_apart_point(v0, v4) = v5) | ~ (reverse_line(v3) = v7) | ~ (reverse_line(v2) = v4) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v7) = v15 & left_apart_point(v1, v3) = v13 & left_apart_point(v1, v2) = v11 & left_apart_point(v0, v7) = v14 & left_apart_point(v0, v3) = v12 & left_apart_point(v0, v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = 0 | v4 = 0 | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v2) = v4) | ~ (reverse_line(v3) = v7) | ~ (reverse_line(v2) = v5) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v7) = v15 & left_apart_point(v1, v3) = v12 & left_apart_point(v1, v2) = v10 & left_apart_point(v0, v7) = v14 & left_apart_point(v0, v5) = v13 & left_apart_point(v0, v3) = v11 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = 0 | v4 = 0 | ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v5) = v6) | ~ (reverse_line(v3) = v7) | ~ (reverse_line(v2) = v5) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v9 & distinct_points(v0, v1) = v8 & left_apart_point(v1, v7) = v15 & left_apart_point(v1, v5) = v13 & left_apart_point(v1, v3) = v12 & left_apart_point(v0, v7) = v14 & left_apart_point(v0, v3) = v11 & left_apart_point(v0, v2) = v10 & ( ~ (v9 = 0) | ~ (v8 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v5 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v4) = v6) | ~ (left_apart_point(v0, v4) = v5) | ~ (reverse_line(v3) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v3) = v11 & left_apart_point(v1, v2) = v9 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v3) = v10 & left_apart_point(v0, v2) = v8 & reverse_line(v2) = v12 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v5 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v4) = v6) | ~ (left_apart_point(v0, v4) = v5) | ~ (reverse_line(v2) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v3) = v11 & left_apart_point(v1, v2) = v9 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v3) = v10 & left_apart_point(v0, v2) = v8 & reverse_line(v3) = v12 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v3) = v4) | ~ (reverse_line(v3) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & left_apart_point(v1, v11) = v13 & left_apart_point(v1, v3) = v10 & left_apart_point(v1, v2) = v9 & left_apart_point(v0, v11) = v12 & left_apart_point(v0, v5) = v14 & left_apart_point(v0, v2) = v8 & reverse_line(v2) = v11 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v12 = 0 | v10 = 0 | v9 = 0 | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v2) = v4) | ~ (reverse_line(v2) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v3) = v10 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v5) = v11 & left_apart_point(v0, v3) = v9 & reverse_line(v3) = v12 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v3) = v4) | ~ (left_apart_point(v0, v5) = v6) | ~ (reverse_line(v3) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & left_apart_point(v1, v11) = v13 & left_apart_point(v1, v5) = v14 & left_apart_point(v1, v2) = v9 & left_apart_point(v0, v11) = v12 & left_apart_point(v0, v3) = v10 & left_apart_point(v0, v2) = v8 & reverse_line(v2) = v11 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v12 = 0 | v10 = 0 | v9 = 0 | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v5) = v6) | ~ (reverse_line(v2) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v5) = v11 & left_apart_point(v1, v3) = v10 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v3) = v9 & left_apart_point(v0, v2) = v8 & reverse_line(v3) = v12 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v3) = v4) | ~ (reverse_line(v2) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & left_apart_point(v1, v13) = v15 & left_apart_point(v1, v3) = v11 & left_apart_point(v1, v2) = v10 & left_apart_point(v0, v13) = v14 & left_apart_point(v0, v5) = v12 & left_apart_point(v0, v2) = v9 & reverse_line(v3) = v13 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v2) = v4) | ~ (reverse_line(v3) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v3) = v11 & left_apart_point(v1, v2) = v9 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v5) = v15 & left_apart_point(v0, v3) = v10 & reverse_line(v2) = v12 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (left_apart_point(v1, v3) = v4) | ~ (left_apart_point(v0, v5) = v6) | ~ (reverse_line(v2) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & left_apart_point(v1, v13) = v15 & left_apart_point(v1, v5) = v12 & left_apart_point(v1, v2) = v10 & left_apart_point(v0, v13) = v14 & left_apart_point(v0, v3) = v11 & left_apart_point(v0, v2) = v9 & reverse_line(v3) = v13 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v5) = v6) | ~ (reverse_line(v3) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v5) = v15 & left_apart_point(v1, v3) = v11 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v3) = v10 & left_apart_point(v0, v2) = v9 & reverse_line(v2) = v12 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | v4 = 0 | ~ (left_apart_point(v1, v3) = v5) | ~ (left_apart_point(v0, v3) = v4) | ~ (reverse_line(v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & left_apart_point(v1, v13) = v15 & left_apart_point(v1, v6) = v12 & left_apart_point(v1, v2) = v10 & left_apart_point(v0, v13) = v14 & left_apart_point(v0, v6) = v11 & left_apart_point(v0, v2) = v9 & reverse_line(v3) = v13 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | v4 = 0 | ~ (left_apart_point(v1, v2) = v5) | ~ (left_apart_point(v0, v2) = v4) | ~ (reverse_line(v3) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & left_apart_point(v1, v11) = v13 & left_apart_point(v1, v6) = v15 & left_apart_point(v1, v3) = v10 & left_apart_point(v0, v11) = v12 & left_apart_point(v0, v6) = v14 & left_apart_point(v0, v3) = v9 & reverse_line(v2) = v11 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v10 = 0 | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v3) = v5) | ~ (left_apart_point(v0, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v6 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v9) = v11 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v9) = v10 & left_apart_point(v0, v2) = v7 & reverse_line(v3) = v12 & reverse_line(v2) = v9 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (left_apart_point(v1, v2) = v5) | ~ (left_apart_point(v0, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v6 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v9) = v11 & left_apart_point(v1, v3) = v8 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v9) = v10 & left_apart_point(v0, v3) = v7 & reverse_line(v3) = v12 & reverse_line(v2) = v9 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v1, v3) = v5) | ~ (left_apart_point(v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v9) = v11 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v9) = v10 & left_apart_point(v0, v3) = v8 & left_apart_point(v0, v2) = v7 & reverse_line(v3) = v12 & reverse_line(v2) = v9 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v0, v3) = v5) | ~ (left_apart_point(v0, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v9) = v11 & left_apart_point(v1, v3) = v8 & left_apart_point(v1, v2) = v7 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v9) = v10 & reverse_line(v3) = v12 & reverse_line(v2) = v9 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (left_apart_point(v1, v3) = v5) | ~ (left_apart_point(v0, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v7 & distinct_points(v0, v1) = v6 & left_apart_point(v1, v13) = v15 & left_apart_point(v1, v10) = v12 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v13) = v14 & left_apart_point(v0, v10) = v11 & left_apart_point(v0, v3) = v9 & reverse_line(v3) = v13 & reverse_line(v2) = v10 & ( ~ (v7 = 0) | ~ (v6 = 0) | v15 = 0 | v14 = 0 | v12 = 0 | v11 = 0 | v9 = 0 | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v3) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v7 & distinct_points(v0, v1) = v6 & left_apart_point(v1, v13) = v15 & left_apart_point(v1, v10) = v12 & left_apart_point(v1, v3) = v9 & left_apart_point(v0, v13) = v14 & left_apart_point(v0, v10) = v11 & left_apart_point(v0, v2) = v8 & reverse_line(v3) = v13 & reverse_line(v2) = v10 & ( ~ (v7 = 0) | ~ (v6 = 0) | v15 = 0 | v14 = 0 | v12 = 0 | v11 = 0 | v9 = 0 | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v3 = 0 | ~ (distinct_lines(v1, v2) = v3) | ~ (left_apart_point(v0, v4) = v5) | ~ (reverse_line(v2) = v4) | ? [v6] : ? [v7] : (left_apart_point(v0, v1) = v6 & unequally_directed_lines(v1, v2) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v1, v3) = v4) | ~ (reverse_line(v2) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v5) = v11 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v5) = v10 & left_apart_point(v0, v3) = v9 & left_apart_point(v0, v2) = v7 & reverse_line(v3) = v12 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v1, v2) = v4) | ~ (reverse_line(v3) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & left_apart_point(v1, v10) = v12 & left_apart_point(v1, v5) = v14 & left_apart_point(v1, v3) = v9 & left_apart_point(v0, v10) = v11 & left_apart_point(v0, v5) = v13 & left_apart_point(v0, v3) = v8 & left_apart_point(v0, v2) = v7 & reverse_line(v2) = v10 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v9 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v0, v3) = v4) | ~ (reverse_line(v2) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & left_apart_point(v1, v12) = v14 & left_apart_point(v1, v5) = v11 & left_apart_point(v1, v3) = v9 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v12) = v13 & left_apart_point(v0, v5) = v10 & left_apart_point(v0, v2) = v7 & reverse_line(v3) = v12 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v0, v2) = v4) | ~ (reverse_line(v3) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & left_apart_point(v1, v10) = v12 & left_apart_point(v1, v5) = v14 & left_apart_point(v1, v3) = v9 & left_apart_point(v1, v2) = v7 & left_apart_point(v0, v10) = v11 & left_apart_point(v0, v5) = v13 & left_apart_point(v0, v3) = v8 & reverse_line(v2) = v10 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v9 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (between_on_line(v5, v4, v3, v2) = v1) | ~ (between_on_line(v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (distinct_points(v0, v1) = 0) | ~ (reverse_line(v3) = v5) | ~ (reverse_line(v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & left_apart_point(v1, v5) = v14 & left_apart_point(v1, v4) = v12 & left_apart_point(v1, v3) = v10 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v5) = v13 & left_apart_point(v0, v4) = v11 & left_apart_point(v0, v3) = v9 & left_apart_point(v0, v2) = v7 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v3, v2) = v5) | ~ (before_on_line(v0, v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v8 & before_on_line(v0, v2, v3) = v6 & before_on_line(v0, v2, v1) = v7 & (v8 = 0 | (( ~ (v7 = 0) | ~ (v5 = 0)) & ( ~ (v6 = 0) | ~ (v4 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v3, v2) = v5) | ~ (before_on_line(v0, v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v6 & before_on_line(v0, v2, v3) = v7 & before_on_line(v0, v2, v1) = v8 & ( ~ (v6 = 0) | (v8 = 0 & v5 = 0) | (v7 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v3, v2) = v4) | ~ (before_on_line(v0, v2, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v8 & before_on_line(v0, v2, v3) = v7 & before_on_line(v0, v1, v2) = v6 & (v8 = 0 | (( ~ (v7 = 0) | ~ (v6 = 0)) & ( ~ (v5 = 0) | ~ (v4 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v3, v2) = v4) | ~ (before_on_line(v0, v2, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v6 & before_on_line(v0, v2, v3) = v8 & before_on_line(v0, v1, v2) = v7 & ( ~ (v6 = 0) | (v8 = 0 & v7 = 0))) | (v5 = 0 & v4 = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v2, v3) = v5) | ~ (before_on_line(v0, v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v8 & before_on_line(v0, v3, v2) = v6 & before_on_line(v0, v2, v1) = v7 & (v8 = 0 | (( ~ (v7 = 0) | ~ (v6 = 0)) & ( ~ (v5 = 0) | ~ (v4 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v2, v3) = v5) | ~ (before_on_line(v0, v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v6 & before_on_line(v0, v3, v2) = v7 & before_on_line(v0, v2, v1) = v8 & ( ~ (v6 = 0) | (v8 = 0 & v7 = 0))) | (v5 = 0 & v4 = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v2, v3) = v4) | ~ (before_on_line(v0, v2, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v8 & before_on_line(v0, v3, v2) = v7 & before_on_line(v0, v1, v2) = v6 & (v8 = 0 | (( ~ (v7 = 0) | ~ (v5 = 0)) & ( ~ (v6 = 0) | ~ (v4 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v2, v3) = v4) | ~ (before_on_line(v0, v2, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v6 & before_on_line(v0, v3, v2) = v8 & before_on_line(v0, v1, v2) = v7 & ( ~ (v6 = 0) | (v8 = 0 & v5 = 0) | (v7 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v4) | ~ (reverse_line(v1) = v3) | ~ (unequally_directed_lines(v0, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (unequally_directed_lines(v1, v4) = v10 & unequally_directed_lines(v1, v2) = v9 & unequally_directed_lines(v0, v3) = v7 & unequally_directed_lines(v0, v2) = v8 & unequally_directed_lines(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | (v10 = 0 & v9 = 0) | (v8 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v4) | ~ (unequally_directed_lines(v1, v4) = v5) | ~ (unequally_directed_lines(v0, v2) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (reverse_line(v1) = v7 & unequally_directed_lines(v1, v2) = v10 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v4) = v9 & unequally_directed_lines(v0, v1) = v6 & ( ~ (v8 = 0) | ~ (v6 = 0) | (v10 = 0 & v5 = 0) | (v9 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v3) | ~ (unequally_directed_lines(v1, v3) = v5) | ~ (unequally_directed_lines(v0, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (reverse_line(v1) = v7 & unequally_directed_lines(v1, v2) = v10 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v2) = v9 & unequally_directed_lines(v0, v1) = v6 & ( ~ (v8 = 0) | ~ (v6 = 0) | (v10 = 0 & v5 = 0) | (v9 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v3) | ~ (unequally_directed_lines(v1, v2) = v5) | ~ (unequally_directed_lines(v0, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (reverse_line(v1) = v7 & unequally_directed_lines(v1, v3) = v10 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v2) = v9 & unequally_directed_lines(v0, v1) = v6 & ( ~ (v8 = 0) | ~ (v6 = 0) | (v10 = 0 & v5 = 0) | (v9 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (distinct_lines(v1, v2) = v4) | ~ (distinct_lines(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & distinct_lines(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (distinct_points(v1, v2) = v4) | ~ (distinct_points(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & distinct_points(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (distinct_points(v0, v1) = v3) | ~ (left_apart_point(v1, v2) = v4) | ? [v5] : ( ~ (v5 = 0) & left_apart_point(v0, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (left_convergent_lines(v0, v2) = v4) | ~ (unequally_directed_lines(v1, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & left_convergent_lines(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (unequally_directed_lines(v1, v2) = v4) | ~ (unequally_directed_lines(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & unequally_directed_lines(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (between_on_line(v0, v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (before_on_line(v0, v3, v2) = v7 & before_on_line(v0, v2, v3) = v6 & before_on_line(v0, v2, v1) = v8 & before_on_line(v0, v1, v2) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0)) & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (line_connecting(v0, v1) = v3) | ~ (left_convergent_lines(v3, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : (distinct_points(v0, v1) = v5 & left_apart_point(v1, v2) = v7 & left_apart_point(v0, v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (left_apart_point(v0, v3) = v4) | ~ (reverse_line(v2) = v3) | ~ (unequally_directed_lines(v1, v2) = 0) | ? [v5] : ? [v6] : (distinct_lines(v1, v2) = v6 & left_apart_point(v0, v1) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (line_connecting(v0, v1) = v4) | ~ (left_apart_point(v1, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : (distinct_points(v0, v1) = v5 & left_convergent_lines(v4, v2) = v7 & left_apart_point(v0, v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (before_on_line(v4, v3, v2) = v1) | ~ (before_on_line(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (divides_points(v4, v3, v2) = v1) | ~ (divides_points(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (distinct_points(v1, v2) = v3) | ~ (incident_point_and_line(v2, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (before_on_line(v0, v1, v2) = v5 & incident_point_and_line(v1, v0) = v6 & line_connecting(v1, v2) = v7 & equally_directed_lines(v0, v7) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v6 = 0 & v4 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (distinct_points(v1, v2) = v3) | ~ (incident_point_and_line(v1, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (before_on_line(v0, v1, v2) = v5 & incident_point_and_line(v2, v0) = v6 & line_connecting(v1, v2) = v7 & equally_directed_lines(v0, v7) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v6 = 0 & v4 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (incident_point_and_line(v2, v0) = v4) | ~ (incident_point_and_line(v1, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & line_connecting(v1, v2) = v7 & equally_directed_lines(v0, v7) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v6 = 0 & v4 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (incident_point_and_line(v2, v0) = v3) | ~ (line_connecting(v1, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & incident_point_and_line(v1, v0) = v7 & equally_directed_lines(v0, v4) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v7 = 0 & v6 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (incident_point_and_line(v1, v0) = v3) | ~ (line_connecting(v1, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & incident_point_and_line(v2, v0) = v7 & equally_directed_lines(v0, v4) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v7 = 0 & v6 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (line_connecting(v1, v2) = v3) | ~ (equally_directed_lines(v0, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & incident_point_and_line(v2, v0) = v8 & incident_point_and_line(v1, v0) = v7 & ( ~ (v5 = 0) | (v8 = 0 & v7 = 0 & v6 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v7 & right_apart_point(v1, v2) = v5 & right_apart_point(v0, v2) = v6 & (v7 = 0 | (( ~ (v6 = 0) | ~ (v4 = 0)) & ( ~ (v5 = 0) | ~ (v3 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v5 & right_apart_point(v1, v2) = v6 & right_apart_point(v0, v2) = v7 & ( ~ (v5 = 0) | (v7 = 0 & v4 = 0) | (v6 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v1, v2) = v4) | ~ (right_apart_point(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v7 & left_apart_point(v0, v2) = v5 & right_apart_point(v1, v2) = v6 & (v7 = 0 | (( ~ (v6 = 0) | ~ (v5 = 0)) & ( ~ (v4 = 0) | ~ (v3 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v1, v2) = v4) | ~ (right_apart_point(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v5 & left_apart_point(v0, v2) = v6 & right_apart_point(v1, v2) = v7 & ( ~ (v5 = 0) | (v7 = 0 & v6 = 0))) | (v4 = 0 & v3 = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v0, v2) = v3) | ~ (right_apart_point(v1, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v7 & left_apart_point(v1, v2) = v6 & right_apart_point(v0, v2) = v5 & (v7 = 0 | (( ~ (v6 = 0) | ~ (v5 = 0)) & ( ~ (v4 = 0) | ~ (v3 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v0, v2) = v3) | ~ (right_apart_point(v1, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v5 & left_apart_point(v1, v2) = v7 & right_apart_point(v0, v2) = v6 & ( ~ (v5 = 0) | (v7 = 0 & v6 = 0))) | (v4 = 0 & v3 = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (right_apart_point(v1, v2) = v3) | ~ (right_apart_point(v0, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v7 & left_apart_point(v1, v2) = v6 & left_apart_point(v0, v2) = v5 & (v7 = 0 | (( ~ (v6 = 0) | ~ (v4 = 0)) & ( ~ (v5 = 0) | ~ (v3 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (right_apart_point(v1, v2) = v3) | ~ (right_apart_point(v0, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : (divides_points(v2, v0, v1) = v5 & left_apart_point(v1, v2) = v7 & left_apart_point(v0, v2) = v6 & ( ~ (v5 = 0) | (v7 = 0 & v4 = 0) | (v6 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (reverse_line(v2) = v4) | ~ (reverse_line(v1) = v3) | ~ (unequally_directed_lines(v0, v3) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (unequally_directed_lines(v1, v4) = v9 & unequally_directed_lines(v1, v2) = v8 & unequally_directed_lines(v0, v4) = v7 & unequally_directed_lines(v0, v2) = v6 & unequally_directed_lines(v0, v1) = v5 & ( ~ (v5 = 0) | (v9 = 0 & v8 = 0) | (v7 = 0 & v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (reverse_line(v1) = v3) | ~ (unequally_directed_lines(v1, v2) = v4) | ~ (unequally_directed_lines(v0, v3) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (reverse_line(v2) = v7 & unequally_directed_lines(v1, v7) = v9 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v2) = v6 & unequally_directed_lines(v0, v1) = v5 & ( ~ (v5 = 0) | (v9 = 0 & v4 = 0) | (v8 = 0 & v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (reverse_line(v1) = v3) | ~ (unequally_directed_lines(v0, v2) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (reverse_line(v2) = v7 & unequally_directed_lines(v1, v7) = v10 & unequally_directed_lines(v1, v2) = v9 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v3) = v6 & unequally_directed_lines(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (v10 = 0 & v9 = 0) | (v8 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unequally_directed_lines(v1, v2) = v4) | ~ (unequally_directed_lines(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (reverse_line(v2) = v8 & reverse_line(v1) = v6 & unequally_directed_lines(v1, v8) = v10 & unequally_directed_lines(v0, v8) = v9 & unequally_directed_lines(v0, v6) = v7 & unequally_directed_lines(v0, v1) = v5 & ( ~ (v7 = 0) | ~ (v5 = 0) | (v10 = 0 & v4 = 0) | (v9 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v1, v2) = v3) | ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v1, v2) = v3) | ~ (left_apart_point(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : (left_apart_point(v0, v5) = v6 & reverse_line(v2) = v5 & unequally_directed_lines(v1, v2) = v4 & ( ~ (v4 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v0, v2) = v3) | ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v1, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v1, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | distinct_points(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v0, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | distinct_points(v1, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v0, v1) = v3) | ~ (left_apart_point(v0, v2) = 0) | left_apart_point(v1, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (line_connecting(v0, v1) = v5 & left_convergent_lines(v5, v2) = v6 & left_apart_point(v0, v2) = v4 & ( ~ (v4 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (before_on_line(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (distinct_points(v1, v2) = v4 & incident_point_and_line(v2, v0) = v6 & incident_point_and_line(v1, v0) = v5 & line_connecting(v1, v2) = v7 & equally_directed_lines(v0, v7) = v8 & ( ~ (v8 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (divides_points(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (left_apart_point(v1, v2) = v7 & left_apart_point(v0, v2) = v4 & right_apart_point(v1, v2) = v5 & right_apart_point(v0, v2) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)) & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_convergent_lines(v0, v2) = v3) | ~ (left_convergent_lines(v0, v1) = 0) | unequally_directed_lines(v1, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_convergent_lines(v0, v2) = v3) | ~ (reverse_line(v1) = v2) | ? [v4] : ? [v5] : ? [v6] : (left_convergent_lines(v0, v1) = v6 & unequally_directed_lines(v0, v2) = v5 & unequally_directed_lines(v0, v1) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_convergent_lines(v0, v2) = v3) | ~ (reverse_line(v1) = v2) | ? [v4] : ( ~ (v4 = 0) & right_convergent_lines(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_convergent_lines(v0, v1) = 0) | ~ (unequally_directed_lines(v1, v2) = v3) | left_convergent_lines(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_apart_point(v1, v2) = v3) | ~ (left_apart_point(v0, v2) = 0) | distinct_points(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_apart_point(v1, v2) = v3) | ~ (left_apart_point(v0, v2) = 0) | ? [v4] : ? [v5] : ? [v6] : (distinct_points(v0, v1) = v4 & line_connecting(v0, v1) = v5 & left_convergent_lines(v5, v2) = v6 & ( ~ (v4 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_apart_point(v0, v2) = v3) | ~ (reverse_line(v1) = v2) | ? [v4] : ( ~ (v4 = 0) & right_apart_point(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = v3) | unequally_directed_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & unequally_directed_opposite_lines(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unequally_directed_lines(v1, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | unequally_directed_lines(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unequally_directed_lines(v0, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | unequally_directed_lines(v1, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~ (parallel_through_point(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (incident_point_and_line(v3, v2) = v1) | ~ (incident_point_and_line(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ (convergent_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ (apart_point_and_line(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equally_directed_opposite_lines(v3, v2) = v1) | ~ (equally_directed_opposite_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equally_directed_lines(v3, v2) = v1) | ~ (equally_directed_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (left_convergent_lines(v3, v2) = v1) | ~ (left_convergent_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (right_convergent_lines(v3, v2) = v1) | ~ (right_convergent_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (left_apart_point(v3, v2) = v1) | ~ (left_apart_point(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (right_apart_point(v3, v2) = v1) | ~ (right_apart_point(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unequally_directed_lines(v3, v2) = v1) | ~ (unequally_directed_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unequally_directed_opposite_lines(v3, v2) = v1) | ~ (unequally_directed_opposite_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (left_apart_point(v1, v11) = v13 & left_apart_point(v1, v8) = v10 & left_apart_point(v1, v3) = v7 & left_apart_point(v1, v2) = v5 & left_apart_point(v0, v11) = v12 & left_apart_point(v0, v8) = v9 & left_apart_point(v0, v3) = v6 & left_apart_point(v0, v2) = v4 & reverse_line(v3) = v11 & reverse_line(v2) = v8 & (v13 = 0 | v12 = 0 | v10 = 0 | v9 = 0 | v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (between_on_line(v0, v1, v2, v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (before_on_line(v0, v3, v2) = v6 & before_on_line(v0, v2, v3) = v5 & before_on_line(v0, v2, v1) = v7 & before_on_line(v0, v1, v2) = v4 & ((v7 = 0 & v6 = 0) | (v5 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (incident_point_and_line(v2, v0) = 0) | ~ (line_connecting(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (distinct_points(v1, v2) = v4 & before_on_line(v0, v1, v2) = v7 & incident_point_and_line(v1, v0) = v5 & equally_directed_lines(v0, v3) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (incident_point_and_line(v1, v0) = 0) | ~ (line_connecting(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (distinct_points(v1, v2) = v4 & before_on_line(v0, v1, v2) = v7 & incident_point_and_line(v2, v0) = v5 & equally_directed_lines(v0, v3) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (line_connecting(v1, v2) = v3) | ~ (equally_directed_lines(v0, v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (distinct_points(v1, v2) = v4 & before_on_line(v0, v1, v2) = v7 & incident_point_and_line(v2, v0) = v6 & incident_point_and_line(v1, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (line_connecting(v0, v1) = v3) | ~ (left_apart_point(v0, v2) = 0) | ? [v4] : ? [v5] : ? [v6] : (distinct_points(v0, v1) = v4 & left_convergent_lines(v3, v2) = v6 & left_apart_point(v1, v2) = v5 & ( ~ (v4 = 0) | v6 = 0 | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (left_apart_point(v0, v1) = 0) | ~ (reverse_line(v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (distinct_lines(v1, v2) = v5 & left_apart_point(v0, v3) = v6 & unequally_directed_lines(v1, v2) = v4 & ( ~ (v4 = 0) | v6 = 0 | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (reverse_line(v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (reverse_line(v1) = v4 & unequally_directed_lines(v1, v3) = v9 & unequally_directed_lines(v1, v2) = v8 & unequally_directed_lines(v0, v4) = v5 & unequally_directed_lines(v0, v3) = v7 & unequally_directed_lines(v0, v2) = v6 & ( ~ (v5 = 0) | (v9 = 0 & v8 = 0) | (v7 = 0 & v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unequally_directed_lines(v1, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (reverse_line(v2) = v7 & reverse_line(v1) = v4 & unequally_directed_lines(v1, v7) = v9 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v4) = v5 & unequally_directed_lines(v0, v2) = v6 & ( ~ (v5 = 0) | (v9 = 0 & v3 = 0) | (v8 = 0 & v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unequally_directed_lines(v0, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (reverse_line(v2) = v6 & reverse_line(v1) = v4 & unequally_directed_lines(v1, v6) = v9 & unequally_directed_lines(v1, v2) = v8 & unequally_directed_lines(v0, v6) = v7 & unequally_directed_lines(v0, v4) = v5 & ( ~ (v5 = 0) | (v9 = 0 & v8 = 0) | (v7 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | ? [v3] : ? [v4] : (unequally_directed_lines(v0, v1) = v3 & unequally_directed_opposite_lines(v0, v1) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (apart_point_and_line(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & ~ (v3 = 0) & left_apart_point(v0, v1) = v3 & right_apart_point(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equally_directed_opposite_lines(v0, v1) = v2) | unequally_directed_opposite_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equally_directed_lines(v0, v1) = v2) | unequally_directed_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (left_convergent_lines(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (left_convergent_lines(v0, v4) = v6 & reverse_line(v1) = v4 & unequally_directed_lines(v0, v4) = v5 & unequally_directed_lines(v0, v1) = v3 & ( ~ (v5 = 0) | ~ (v3 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (right_convergent_lines(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & left_convergent_lines(v0, v3) = v4 & reverse_line(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (left_apart_point(v0, v1) = v2) | ? [v3] : ? [v4] : (apart_point_and_line(v0, v1) = v3 & right_apart_point(v0, v1) = v4 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (right_apart_point(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & left_apart_point(v0, v3) = v4 & reverse_line(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (right_apart_point(v0, v1) = v2) | ? [v3] : ? [v4] : (apart_point_and_line(v0, v1) = v3 & left_apart_point(v0, v1) = v4 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_lines(v0, v1) = v2) | equally_directed_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_lines(v0, v1) = v2) | ? [v3] : (reverse_line(v1) = v3 & unequally_directed_lines(v0, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_opposite_lines(v0, v1) = v2) | equally_directed_opposite_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_opposite_lines(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & reverse_line(v1) = v3 & unequally_directed_lines(v0, v3) = v4)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (point(v2) = v1) | ~ (point(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (line(v2) = v1) | ~ (line(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (reverse_line(v2) = v1) | ~ (reverse_line(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | equally_directed_lines(v2, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & apart_point_and_line(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (point(v1) = v3 & line(v2) = v5 & line(v0) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection_point(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (point(v2) = v8 & line(v1) = v4 & line(v0) = v3 & reverse_line(v1) = v6 & unequally_directed_lines(v0, v6) = v7 & unequally_directed_lines(v0, v1) = v5 & ( ~ (v7 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection_point(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (apart_point_and_line(v2, v1) = v7 & apart_point_and_line(v2, v0) = v6 & reverse_line(v1) = v4 & unequally_directed_lines(v0, v4) = v5 & unequally_directed_lines(v0, v1) = v3 & ( ~ (v5 = 0) | ~ (v3 = 0) | ( ~ (v7 = 0) & ~ (v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (line(v0) = 0) | ~ (reverse_line(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (intersection_point(v0, v1) = v6 & point(v6) = v7 & line(v1) = v3 & unequally_directed_lines(v0, v2) = v5 & unequally_directed_lines(v0, v1) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (distinct_points(v1, v2) = 0) | ~ (incident_point_and_line(v2, v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (before_on_line(v0, v1, v2) = v6 & incident_point_and_line(v1, v0) = v3 & line_connecting(v1, v2) = v4 & equally_directed_lines(v0, v4) = v5 & ( ~ (v5 = 0) | ~ (v3 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (distinct_points(v1, v2) = 0) | ~ (incident_point_and_line(v1, v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (before_on_line(v0, v1, v2) = v6 & incident_point_and_line(v2, v0) = v3 & line_connecting(v1, v2) = v4 & equally_directed_lines(v0, v4) = v5 & ( ~ (v5 = 0) | ~ (v3 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v0, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : (line_connecting(v0, v1) = v4 & left_convergent_lines(v4, v2) = v5 & left_apart_point(v1, v2) = v3 & (v5 = 0 | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (before_on_line(v0, v1, v2) = 0) | ? [v3] : (distinct_points(v1, v2) = 0 & incident_point_and_line(v2, v0) = 0 & incident_point_and_line(v1, v0) = 0 & line_connecting(v1, v2) = v3 & equally_directed_lines(v0, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (incident_point_and_line(v2, v0) = 0) | ~ (incident_point_and_line(v1, v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (distinct_points(v1, v2) = v3 & before_on_line(v0, v1, v2) = v6 & line_connecting(v1, v2) = v4 & equally_directed_lines(v0, v4) = v5 & ( ~ (v5 = 0) | ~ (v3 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (distinct_points(v0, v1) = v3 & line_connecting(v0, v1) = v4 & equally_directed_lines(v4, v5) = v6 & reverse_line(v2) = v5 & ( ~ (v3 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (point(v1) = v4 & point(v0) = v3 & line(v2) = v6 & distinct_points(v0, v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (distinct_points(v0, v1) = v3 & line_connecting(v1, v0) = v4 & equally_directed_lines(v2, v5) = v6 & reverse_line(v4) = v5 & ( ~ (v3 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (distinct_points(v0, v1) = v3 & apart_point_and_line(v1, v2) = v5 & apart_point_and_line(v0, v2) = v4 & ( ~ (v3 = 0) | ( ~ (v5 = 0) & ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (divides_points(v2, v0, v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (left_apart_point(v1, v2) = v6 & left_apart_point(v0, v2) = v3 & right_apart_point(v1, v2) = v4 & right_apart_point(v0, v2) = v5 & ((v6 = 0 & v5 = 0) | (v4 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (left_convergent_lines(v0, v2) = 0) | ~ (reverse_line(v1) = v2) | right_convergent_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (left_convergent_lines(v0, v2) = 0) | ~ (reverse_line(v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (left_apart_point(v0, v2) = 0) | ~ (reverse_line(v1) = v2) | right_apart_point(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (left_apart_point(v0, v2) = 0) | ~ (reverse_line(v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (left_apart_point(v0, v1) = v2) | ? [v3] : ? [v4] : (apart_point_and_line(v0, v1) = v4 & right_apart_point(v0, v1) = v3 & (v4 = 0 | ( ~ (v3 = 0) & ~ (v2 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (left_apart_point(v0, v1) = 0) | ~ (unequally_directed_lines(v1, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : (distinct_lines(v1, v2) = v3 & left_apart_point(v0, v4) = v5 & reverse_line(v2) = v4 & (v5 = 0 | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (right_apart_point(v0, v1) = v2) | ? [v3] : ? [v4] : (apart_point_and_line(v0, v1) = v4 & left_apart_point(v0, v1) = v3 & (v4 = 0 | ( ~ (v3 = 0) & ~ (v2 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = 0) | unequally_directed_opposite_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (intersection_point(v0, v1) = v6 & point(v6) = v7 & line(v1) = v4 & line(v0) = v3 & unequally_directed_lines(v0, v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (intersection_point(v0, v1) = v4 & apart_point_and_line(v4, v1) = v6 & apart_point_and_line(v4, v0) = v5 & unequally_directed_lines(v0, v1) = v3 & ( ~ (v3 = 0) | ( ~ (v6 = 0) & ~ (v5 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : (left_convergent_lines(v0, v2) = v5 & left_convergent_lines(v0, v1) = v4 & unequally_directed_lines(v0, v1) = v3 & ( ~ (v3 = 0) | v5 = 0 | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unequally_directed_lines(v0, v1) = v2) | ? [v3] : ? [v4] : (convergent_lines(v0, v1) = v3 & unequally_directed_opposite_lines(v0, v1) = v4 & ( ~ (v3 = 0) | (v4 = 0 & v2 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unequally_directed_opposite_lines(v0, v1) = v2) | ? [v3] : ? [v4] : (convergent_lines(v0, v1) = v3 & unequally_directed_lines(v0, v1) = v4 & ( ~ (v3 = 0) | (v4 = 0 & v2 = 0)))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (equally_directed_lines(v0, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (point(v1) = 0) | ~ (point(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : (line(v3) = v4 & distinct_points(v0, v1) = v2 & line_connecting(v0, v1) = v3 & ( ~ (v2 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ( ~ (point(v1) = 0) | ~ (line(v0) = 0) | ? [v2] : (parallel_through_point(v0, v1) = v2 & line(v2) = 0)) & ! [v0] : ! [v1] : ( ~ (line(v1) = 0) | ~ (line(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (intersection_point(v0, v1) = v5 & point(v5) = v6 & reverse_line(v1) = v3 & unequally_directed_lines(v0, v3) = v4 & unequally_directed_lines(v0, v1) = v2 & ( ~ (v4 = 0) | ~ (v2 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (point(v1) = v3 & point(v0) = v2 & line(v4) = v5 & line_connecting(v0, v1) = v4 & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = 0) & ~ (v3 = 0) & line_connecting(v0, v1) = v2 & apart_point_and_line(v1, v2) = v4 & apart_point_and_line(v0, v2) = v3)) & ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : (line_connecting(v1, v0) = v3 & line_connecting(v0, v1) = v2 & equally_directed_lines(v2, v4) = 0 & reverse_line(v3) = v4)) & ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | (unequally_directed_lines(v0, v1) = 0 & unequally_directed_opposite_lines(v0, v1) = 0)) & ! [v0] : ! [v1] : ( ~ (apart_point_and_line(v0, v1) = 0) | ? [v2] : ? [v3] : (left_apart_point(v0, v1) = v2 & right_apart_point(v0, v1) = v3 & (v3 = 0 | v2 = 0))) & ! [v0] : ! [v1] : ( ~ (equally_directed_opposite_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & unequally_directed_opposite_lines(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (equally_directed_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & unequally_directed_lines(v0, v1) = v2)) & ! [v0] : ! [v1] : ~ (left_convergent_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (right_convergent_lines(v0, v1) = 0) | ? [v2] : (left_convergent_lines(v0, v2) = 0 & reverse_line(v1) = v2)) & ! [v0] : ! [v1] : ~ (left_apart_point(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (right_apart_point(v0, v1) = 0) | ? [v2] : (left_apart_point(v0, v2) = 0 & reverse_line(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (reverse_line(v0) = v1) | ? [v2] : ? [v3] : (line(v1) = v3 & line(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (reverse_line(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & distinct_lines(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (intersection_point(v0, v1) = v6 & point(v6) = v7 & line(v1) = v3 & line(v0) = v2 & reverse_line(v1) = v4 & unequally_directed_lines(v0, v4) = v5 & ( ~ (v5 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (intersection_point(v0, v1) = v4 & apart_point_and_line(v4, v1) = v6 & apart_point_and_line(v4, v0) = v5 & reverse_line(v1) = v2 & unequally_directed_lines(v0, v2) = v3 & ( ~ (v3 = 0) | ( ~ (v6 = 0) & ~ (v5 = 0))))) & ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (left_convergent_lines(v0, v2) = v5 & left_convergent_lines(v0, v1) = v4 & reverse_line(v1) = v2 & unequally_directed_lines(v0, v2) = v3 & ( ~ (v3 = 0) | v5 = 0 | v4 = 0))) & ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ? [v3] : (convergent_lines(v0, v1) = v3 & unequally_directed_opposite_lines(v0, v1) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equally_directed_lines(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (unequally_directed_opposite_lines(v0, v1) = 0) | ? [v2] : ? [v3] : (convergent_lines(v0, v1) = v3 & unequally_directed_lines(v0, v1) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (unequally_directed_opposite_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equally_directed_opposite_lines(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (unequally_directed_opposite_lines(v0, v1) = 0) | ? [v2] : (reverse_line(v1) = v2 & unequally_directed_lines(v0, v2) = 0)) & ! [v0] : ( ~ (line(v0) = 0) | ? [v1] : (line(v1) = 0 & reverse_line(v0) = v1)) & ! [v0] : ~ (distinct_lines(v0, v0) = 0) & ! [v0] : ~ (distinct_points(v0, v0) = 0) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = 0) & parallel_through_point(v2, v5) = v8 & parallel_through_point(v2, v3) = v6 & intersection_point(v1, v8) = v9 & intersection_point(v1, v6) = v7 & between_on_line(v1, v7, v4, v9) = v10 & between_on_line(v0, v3, v4, v5) = 0 & incident_point_and_line(v4, v2) = 0 & incident_point_and_line(v4, v1) = 0 & convergent_lines(v1, v2) = 0 & convergent_lines(v0, v2) = 0 & convergent_lines(v0, v1) = 0)
% 77.83/38.90 | Applying alpha-rule on (0) yields:
% 77.83/38.90 | (1) ! [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)))))
% 77.83/38.90 | (2) ! [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))
% 77.83/38.90 | (3) ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equally_directed_lines(v0, v1) = v2))
% 77.83/38.90 | (4) ! [v0] : ! [v1] : ( ~ (equally_directed_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & unequally_directed_lines(v0, v1) = v2))
% 77.83/38.90 | (5) ! [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))))
% 77.83/38.90 | (6) ! [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)))
% 77.83/38.90 | (7) ! [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))))))
% 77.83/38.90 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ (apart_point_and_line(v3, v2) = v0))
% 77.83/38.90 | (9) ! [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))))
% 77.83/38.90 | (10) ! [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))))
% 77.83/38.90 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v1, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | distinct_points(v0, v2) = 0)
% 77.83/38.90 | (12) ! [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)))
% 77.83/38.91 | (13) ! [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)))
% 77.83/38.91 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (before_on_line(v4, v3, v2) = v1) | ~ (before_on_line(v4, v3, v2) = v0))
% 77.83/38.91 | (15) ! [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))
% 77.83/38.91 | (16) ! [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))))
% 77.83/38.91 | (17) ! [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)))
% 77.83/38.91 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v0, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | distinct_points(v1, v2) = 0)
% 77.83/38.91 | (19) ! [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)))
% 77.83/38.91 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) = v0))
% 77.83/38.91 | (21) ! [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))
% 77.83/38.91 | (22) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = 0) & parallel_through_point(v2, v5) = v8 & parallel_through_point(v2, v3) = v6 & intersection_point(v1, v8) = v9 & intersection_point(v1, v6) = v7 & between_on_line(v1, v7, v4, v9) = v10 & between_on_line(v0, v3, v4, v5) = 0 & incident_point_and_line(v4, v2) = 0 & incident_point_and_line(v4, v1) = 0 & convergent_lines(v1, v2) = 0 & convergent_lines(v0, v2) = 0 & convergent_lines(v0, v1) = 0)
% 77.83/38.91 | (23) ! [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))))
% 77.83/38.91 | (24) ! [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))))
% 77.83/38.91 | (25) ! [v0] : ! [v1] : ~ (left_apart_point(v0, v1) = 0)
% 77.83/38.91 | (26) ! [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)))
% 77.83/38.91 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equally_directed_lines(v3, v2) = v1) | ~ (equally_directed_lines(v3, v2) = v0))
% 77.83/38.91 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (left_convergent_lines(v3, v2) = v1) | ~ (left_convergent_lines(v3, v2) = v0))
% 77.83/38.91 | (29) ! [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)))
% 77.83/38.91 | (30) ! [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))
% 77.83/38.91 | (31) ! [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)))))
% 77.83/38.91 | (32) ! [v0] : ! [v1] : ! [v2] : ( ~ (left_convergent_lines(v0, v2) = 0) | ~ (reverse_line(v1) = v2) | right_convergent_lines(v0, v1) = 0)
% 77.83/38.91 | (33) ! [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)))
% 77.83/38.92 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ (convergent_lines(v3, v2) = v0))
% 78.33/38.92 | (35) ! [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)))
% 78.33/38.92 | (36) ! [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)))
% 78.33/38.92 | (37) ! [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)))
% 78.33/38.92 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v0, v1) = v3) | ~ (left_apart_point(v0, v2) = 0) | left_apart_point(v1, v2) = 0)
% 78.33/38.92 | (39) ! [v0] : ~ (distinct_lines(v0, v0) = 0)
% 78.33/38.92 | (40) ! [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))))
% 78.33/38.92 | (41) ! [v0] : ( ~ (line(v0) = 0) | ? [v1] : (line(v1) = 0 & reverse_line(v0) = v1))
% 78.33/38.92 | (42) ! [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)))
% 78.33/38.92 | (43) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_opposite_lines(v0, v1) = v2) | equally_directed_opposite_lines(v0, v1) = 0)
% 78.33/38.92 | (44) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equally_directed_opposite_lines(v0, v1) = v2) | unequally_directed_opposite_lines(v0, v1) = 0)
% 78.33/38.92 | (45) ! [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)))
% 78.33/38.92 | (46) ! [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)))
% 78.33/38.92 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0))
% 78.33/38.93 | (48) ! [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))
% 78.33/38.93 | (49) ! [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))))
% 78.33/38.93 | (50) ! [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)))
% 78.33/38.93 | (51) ! [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))))))
% 78.33/38.93 | (52) ! [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))))
% 78.33/38.93 | (53) ! [v0] : ! [v1] : ! [v2] : ( ~ (left_convergent_lines(v0, v2) = 0) | ~ (reverse_line(v1) = v2))
% 78.33/38.93 | (54) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_lines(v0, v1) = v2) | ? [v3] : (reverse_line(v1) = v3 & unequally_directed_lines(v0, v3) = 0))
% 78.33/38.93 | (55) ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | (unequally_directed_lines(v0, v1) = 0 & unequally_directed_opposite_lines(v0, v1) = 0))
% 78.33/38.93 | (56) ! [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)))
% 78.33/38.93 | (57) ! [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)))
% 78.33/38.93 | (58) ! [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))))
% 78.33/38.93 | (59) ! [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))))
% 78.33/38.93 | (60) ! [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)))
% 78.33/38.93 | (61) ! [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))
% 78.33/38.93 | (62) ! [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)))
% 78.33/38.93 | (63) ! [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)))))
% 78.33/38.93 | (64) ! [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)))
% 78.33/38.93 | (65) ! [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))
% 78.33/38.93 | (66) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_lines(v0, v1) = v2) | equally_directed_lines(v0, v1) = 0)
% 78.33/38.93 | (67) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equally_directed_lines(v0, v1) = v2) | unequally_directed_lines(v0, v1) = 0)
% 78.33/38.93 | (68) ! [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)))
% 78.33/38.93 | (69) ! [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))))))
% 78.33/38.93 | (70) ! [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)))
% 78.33/38.93 | (71) ! [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)))
% 78.33/38.93 | (72) ! [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)))
% 78.33/38.93 | (73) ! [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))
% 78.33/38.93 | (74) ! [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)))
% 78.33/38.93 | (75) ! [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))))
% 78.33/38.94 | (76) ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | equally_directed_lines(v2, v1) = 0)
% 78.33/38.94 | (77) ! [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))
% 78.33/38.94 | (78) ! [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)))
% 78.33/38.94 | (79) ! [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))))))
% 78.33/38.94 | (80) ! [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))))
% 78.33/38.94 | (81) ! [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)))
% 78.33/38.94 | (82) ! [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))))
% 78.33/38.94 | (83) ! [v0] : ! [v1] : ( ~ (right_apart_point(v0, v1) = 0) | ? [v2] : (left_apart_point(v0, v2) = 0 & reverse_line(v1) = v2))
% 78.33/38.94 | (84) ! [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)))
% 78.33/38.94 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unequally_directed_lines(v1, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | unequally_directed_lines(v0, v2) = 0)
% 78.33/38.94 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0))
% 78.33/38.94 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unequally_directed_lines(v0, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | unequally_directed_lines(v1, v2) = 0)
% 78.33/38.94 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0))
% 78.33/38.94 | (89) ! [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)))
% 78.33/38.94 | (90) ! [v0] : ! [v1] : ! [v2] : ( ~ (left_apart_point(v0, v2) = 0) | ~ (reverse_line(v1) = v2) | right_apart_point(v0, v1) = 0)
% 78.33/38.94 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equally_directed_opposite_lines(v3, v2) = v1) | ~ (equally_directed_opposite_lines(v3, v2) = v0))
% 78.33/38.94 | (92) ! [v0] : ! [v1] : ! [v2] : ( ~ (left_apart_point(v0, v2) = 0) | ~ (reverse_line(v1) = v2))
% 78.33/38.94 | (93) ! [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)))
% 78.33/38.94 | (94) ! [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)))
% 78.33/38.94 | (95) ! [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)))
% 78.33/38.94 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (left_apart_point(v3, v2) = v1) | ~ (left_apart_point(v3, v2) = v0))
% 78.33/38.94 | (97) ! [v0] : ! [v1] : ! [v2] : ( ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = 0) | unequally_directed_opposite_lines(v0, v1) = 0)
% 78.33/38.94 | (98) ! [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))))
% 78.33/38.94 | (99) ! [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))
% 78.33/38.94 | (100) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (reverse_line(v2) = v1) | ~ (reverse_line(v2) = v0))
% 78.33/38.94 | (101) ! [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)))
% 78.33/38.94 | (102) ! [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)))
% 78.33/38.94 | (103) ! [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))))
% 78.33/38.94 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unequally_directed_lines(v3, v2) = v1) | ~ (unequally_directed_lines(v3, v2) = v0))
% 78.33/38.94 | (105) ! [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))
% 78.33/38.94 | (106) ! [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)))
% 78.33/38.94 | (107) ! [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))))
% 78.33/38.95 | (108) ! [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))
% 78.33/38.95 | (109) ! [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)))
% 78.33/38.95 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (divides_points(v4, v3, v2) = v1) | ~ (divides_points(v4, v3, v2) = v0))
% 78.33/38.95 | (111) ! [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))))
% 78.33/38.95 | (112) ! [v0] : ~ (distinct_points(v0, v0) = 0)
% 78.33/38.95 | (113) ! [v0] : ! [v1] : ~ (left_convergent_lines(v0, v1) = 0)
% 78.33/38.95 | (114) ! [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)))
% 78.33/38.95 | (115) ! [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))))
% 78.33/38.95 | (116) ! [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)))
% 78.33/38.95 | (117) ! [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)))
% 78.33/38.95 | (118) ! [v0] : ! [v1] : ( ~ (point(v1) = 0) | ~ (line(v0) = 0) | ? [v2] : (parallel_through_point(v0, v1) = v2 & line(v2) = 0))
% 78.33/38.95 | (119) ! [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)))
% 78.33/38.95 | (120) ! [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)))
% 78.33/38.95 | (121) ! [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)))
% 78.33/38.95 | (122) ! [v0] : ! [v1] : ( ~ (reverse_line(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & distinct_lines(v0, v1) = v2))
% 78.33/38.95 | (123) ! [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)))
% 78.33/38.95 | (124) ! [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))))
% 78.33/38.95 | (125) ! [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)))
% 78.33/38.95 | (126) ! [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)))
% 78.33/38.95 | (127) ! [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)))
% 78.33/38.95 | (128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (before_on_line(v0, v2, v3) = v4) | ~ (before_on_line(v0, v2, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : (between_on_line(v0, v1, v2, v3) = v8 & before_on_line(v0, v3, v2) = v7 & before_on_line(v0, v1, v2) = v6 & (v8 = 0 | (( ~ (v7 = 0) | ~ (v5 = 0)) & ( ~ (v6 = 0) | ~ (v4 = 0))))))
% 78.33/38.95 | (129) ! [v0] : ! [v1] : ( ~ (right_convergent_lines(v0, v1) = 0) | ? [v2] : (left_convergent_lines(v0, v2) = 0 & reverse_line(v1) = v2))
% 78.33/38.95 | (130) ! [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))))
% 78.33/38.95 | (131) ! [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))))
% 78.33/38.95 | (132) ! [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))))
% 78.33/38.95 | (133) ! [v0] : ! [v1] : (v1 = 0 | ~ (equally_directed_lines(v0, v0) = v1))
% 78.33/38.95 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_convergent_lines(v0, v1) = 0) | ~ (unequally_directed_lines(v1, v2) = v3) | left_convergent_lines(v0, v2) = 0)
% 78.33/38.95 | (135) ! [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)))
% 78.33/38.95 | (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)))
% 78.33/38.96 | (137) ! [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))
% 78.33/38.96 | (138) ! [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))))))
% 78.33/38.96 | (139) ! [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))
% 78.33/38.96 | (140) ! [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)))
% 78.33/38.96 | (141) ! [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)))
% 78.33/38.96 | (142) ! [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)))
% 78.33/38.96 | (143) ! [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))))
% 78.33/38.96 | (144) ! [v0] : ! [v1] : ( ~ (reverse_line(v0) = v1) | ? [v2] : ? [v3] : (line(v1) = v3 & line(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 78.33/38.96 | (145) ! [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)))))
% 78.33/38.96 | (146) ! [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)))))
% 78.33/38.96 | (147) ! [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))
% 78.33/38.96 | (148) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (line(v2) = v1) | ~ (line(v2) = v0))
% 78.33/38.96 | (149) ! [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)))
% 78.33/38.96 | (150) ! [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)))
% 78.33/38.96 | (151) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (reverse_line(v1) = v2) | ~ (unequally_directed_lines(v0, v2) = v3) | unequally_directed_lines(v0, v1) = 0)
% 78.33/38.96 | (152) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (right_convergent_lines(v3, v2) = v1) | ~ (right_convergent_lines(v3, v2) = v0))
% 78.33/38.96 | (153) ! [v0] : ! [v1] : ( ~ (unequally_directed_opposite_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equally_directed_opposite_lines(v0, v1) = v2))
% 78.33/38.96 | (154) ! [v0] : ! [v1] : ( ~ (equally_directed_opposite_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & unequally_directed_opposite_lines(v0, v1) = v2))
% 78.33/38.96 | (155) ! [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))))
% 78.33/38.96 | (156) ! [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)))
% 78.33/38.96 | (157) ! [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)))
% 78.33/38.96 | (158) ! [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)))
% 78.33/38.96 | (159) ! [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)))
% 78.33/38.96 | (160) ! [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))))
% 78.33/38.96 | (161) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~ (parallel_through_point(v3, v2) = v0))
% 78.33/38.96 | (162) ! [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)))
% 78.33/38.96 | (163) ! [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)))
% 78.33/38.96 | (164) ! [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))))
% 78.33/38.96 | (165) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v0, v2) = v3) | ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v1, v2) = 0)
% 78.33/38.96 | (166) ! [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)))
% 78.33/38.96 | (167) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_convergent_lines(v0, v2) = v3) | ~ (left_convergent_lines(v0, v1) = 0) | unequally_directed_lines(v1, v2) = 0)
% 78.33/38.96 | (168) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (between_on_line(v5, v4, v3, v2) = v1) | ~ (between_on_line(v5, v4, v3, v2) = v0))
% 78.33/38.96 | (169) ! [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))
% 78.33/38.96 | (170) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unequally_directed_opposite_lines(v3, v2) = v1) | ~ (unequally_directed_opposite_lines(v3, v2) = v0))
% 78.33/38.96 | (171) ! [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))))
% 78.33/38.96 | (172) ! [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))))
% 78.33/38.97 | (173) ! [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))
% 78.33/38.97 | (174) ! [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)))
% 78.33/38.97 | (175) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v1, v2) = v3) | ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v0, v2) = 0)
% 78.33/38.97 | (176) ! [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)))
% 78.33/38.97 | (177) ! [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))))))
% 78.33/38.97 | (178) ! [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)))
% 78.33/38.97 | (179) ! [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)))
% 78.33/38.97 | (180) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (right_apart_point(v3, v2) = v1) | ~ (right_apart_point(v3, v2) = v0))
% 78.33/38.97 | (181) ! [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)))
% 78.33/38.97 | (182) ! [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))))
% 78.33/38.97 | (183) ! [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))))))
% 78.33/38.97 | (184) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_apart_point(v1, v2) = v3) | ~ (left_apart_point(v0, v2) = 0) | distinct_points(v0, v1) = 0)
% 78.33/38.97 | (185) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (incident_point_and_line(v3, v2) = v1) | ~ (incident_point_and_line(v3, v2) = v0))
% 78.33/38.97 | (186) ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & apart_point_and_line(v0, v2) = v3))
% 78.33/38.97 | (187) ! [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))
% 78.33/38.97 | (188) ! [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)))
% 78.33/38.97 | (189) ! [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))
% 78.33/38.97 | (190) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (point(v2) = v1) | ~ (point(v2) = v0))
% 78.33/38.97 | (191) ! [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)))
% 78.33/38.97 | (192) ! [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)))))
% 78.33/38.97 | (193) ! [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)))
% 78.33/38.97 | (194) ! [v0] : ! [v1] : ( ~ (unequally_directed_opposite_lines(v0, v1) = 0) | ? [v2] : (reverse_line(v1) = v2 & unequally_directed_lines(v0, v2) = 0))
% 78.33/38.97 |
% 78.33/38.97 | Instantiating (22) with all_1_0_0, all_1_1_1, all_1_2_2, all_1_3_3, all_1_4_4, all_1_5_5, all_1_6_6, all_1_7_7, all_1_8_8, all_1_9_9, all_1_10_10 yields:
% 78.33/38.97 | (195) ~ (all_1_0_0 = 0) & parallel_through_point(all_1_8_8, all_1_5_5) = all_1_2_2 & parallel_through_point(all_1_8_8, all_1_7_7) = all_1_4_4 & intersection_point(all_1_9_9, all_1_2_2) = all_1_1_1 & intersection_point(all_1_9_9, all_1_4_4) = all_1_3_3 & between_on_line(all_1_9_9, all_1_3_3, all_1_6_6, all_1_1_1) = all_1_0_0 & between_on_line(all_1_10_10, all_1_7_7, all_1_6_6, all_1_5_5) = 0 & incident_point_and_line(all_1_6_6, all_1_8_8) = 0 & incident_point_and_line(all_1_6_6, all_1_9_9) = 0 & convergent_lines(all_1_9_9, all_1_8_8) = 0 & convergent_lines(all_1_10_10, all_1_8_8) = 0 & convergent_lines(all_1_10_10, all_1_9_9) = 0
% 78.33/38.97 |
% 78.33/38.97 | Applying alpha-rule on (195) yields:
% 78.33/38.97 | (196) intersection_point(all_1_9_9, all_1_2_2) = all_1_1_1
% 78.33/38.97 | (197) ~ (all_1_0_0 = 0)
% 78.33/38.97 | (198) between_on_line(all_1_10_10, all_1_7_7, all_1_6_6, all_1_5_5) = 0
% 78.33/38.97 | (199) incident_point_and_line(all_1_6_6, all_1_9_9) = 0
% 78.33/38.97 | (200) parallel_through_point(all_1_8_8, all_1_5_5) = all_1_2_2
% 78.33/38.97 | (201) convergent_lines(all_1_9_9, all_1_8_8) = 0
% 78.33/38.97 | (202) intersection_point(all_1_9_9, all_1_4_4) = all_1_3_3
% 78.33/38.97 | (203) convergent_lines(all_1_10_10, all_1_9_9) = 0
% 78.33/38.97 | (204) parallel_through_point(all_1_8_8, all_1_7_7) = all_1_4_4
% 78.33/38.97 | (205) incident_point_and_line(all_1_6_6, all_1_8_8) = 0
% 78.33/38.97 | (206) convergent_lines(all_1_10_10, all_1_8_8) = 0
% 78.33/38.97 | (207) between_on_line(all_1_9_9, all_1_3_3, all_1_6_6, all_1_1_1) = all_1_0_0
% 78.33/38.97 |
% 78.33/38.97 | Instantiating formula (71) with all_1_1_1, all_1_2_2, all_1_9_9 and discharging atoms intersection_point(all_1_9_9, all_1_2_2) = all_1_1_1, yields:
% 78.33/38.98 | (208) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (point(all_1_1_1) = v5 & line(all_1_2_2) = v1 & line(all_1_9_9) = v0 & reverse_line(all_1_2_2) = v3 & unequally_directed_lines(all_1_9_9, v3) = v4 & unequally_directed_lines(all_1_9_9, all_1_2_2) = v2 & ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 78.33/38.98 |
% 78.33/38.98 | Instantiating formula (192) with all_1_1_1, all_1_2_2, all_1_9_9 and discharging atoms intersection_point(all_1_9_9, all_1_2_2) = all_1_1_1, yields:
% 78.33/38.98 | (209) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (apart_point_and_line(all_1_1_1, all_1_2_2) = v4 & apart_point_and_line(all_1_1_1, all_1_9_9) = v3 & reverse_line(all_1_2_2) = v1 & unequally_directed_lines(all_1_9_9, v1) = v2 & unequally_directed_lines(all_1_9_9, all_1_2_2) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0))))
% 78.33/38.98 |
% 78.33/38.98 | Instantiating formula (71) with all_1_3_3, all_1_4_4, all_1_9_9 and discharging atoms intersection_point(all_1_9_9, all_1_4_4) = all_1_3_3, yields:
% 78.33/38.98 | (210) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (point(all_1_3_3) = v5 & line(all_1_4_4) = v1 & line(all_1_9_9) = v0 & reverse_line(all_1_4_4) = v3 & unequally_directed_lines(all_1_9_9, v3) = v4 & unequally_directed_lines(all_1_9_9, all_1_4_4) = v2 & ( ~ (v4 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 78.33/38.98 |
% 78.33/38.98 | Instantiating formula (192) with all_1_3_3, all_1_4_4, all_1_9_9 and discharging atoms intersection_point(all_1_9_9, all_1_4_4) = all_1_3_3, yields:
% 78.33/38.98 | (211) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (apart_point_and_line(all_1_3_3, all_1_4_4) = v4 & apart_point_and_line(all_1_3_3, all_1_9_9) = v3 & reverse_line(all_1_4_4) = v1 & unequally_directed_lines(all_1_9_9, v1) = v2 & unequally_directed_lines(all_1_9_9, all_1_4_4) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0))))
% 78.33/38.98 |
% 78.33/38.98 | Instantiating formula (55) with all_1_8_8, all_1_9_9 and discharging atoms convergent_lines(all_1_9_9, all_1_8_8) = 0, yields:
% 78.33/38.98 | (212) unequally_directed_lines(all_1_9_9, all_1_8_8) = 0 & unequally_directed_opposite_lines(all_1_9_9, all_1_8_8) = 0
% 78.33/38.98 |
% 78.33/38.98 | Applying alpha-rule on (212) yields:
% 78.33/38.98 | (213) unequally_directed_lines(all_1_9_9, all_1_8_8) = 0
% 78.33/38.98 | (214) unequally_directed_opposite_lines(all_1_9_9, all_1_8_8) = 0
% 78.33/38.98 |
% 78.33/38.98 | Instantiating formula (55) with all_1_8_8, all_1_10_10 and discharging atoms convergent_lines(all_1_10_10, all_1_8_8) = 0, yields:
% 78.33/38.98 | (215) unequally_directed_lines(all_1_10_10, all_1_8_8) = 0 & unequally_directed_opposite_lines(all_1_10_10, all_1_8_8) = 0
% 78.33/38.98 |
% 78.33/38.98 | Applying alpha-rule on (215) yields:
% 78.33/38.98 | (216) unequally_directed_lines(all_1_10_10, all_1_8_8) = 0
% 78.33/38.98 | (217) unequally_directed_opposite_lines(all_1_10_10, all_1_8_8) = 0
% 78.33/38.98 |
% 78.33/38.98 | Instantiating formula (55) with all_1_9_9, all_1_10_10 and discharging atoms convergent_lines(all_1_10_10, all_1_9_9) = 0, yields:
% 78.33/38.98 | (218) unequally_directed_lines(all_1_10_10, all_1_9_9) = 0 & unequally_directed_opposite_lines(all_1_10_10, all_1_9_9) = 0
% 78.33/38.98 |
% 78.33/38.98 | Applying alpha-rule on (218) yields:
% 78.33/38.98 | (219) unequally_directed_lines(all_1_10_10, all_1_9_9) = 0
% 78.33/38.98 | (220) unequally_directed_opposite_lines(all_1_10_10, all_1_9_9) = 0
% 78.33/38.98 |
% 78.33/38.98 | Instantiating (211) with all_19_0_27, all_19_1_28, all_19_2_29, all_19_3_30, all_19_4_31 yields:
% 78.33/38.98 | (221) apart_point_and_line(all_1_3_3, all_1_4_4) = all_19_0_27 & apart_point_and_line(all_1_3_3, all_1_9_9) = all_19_1_28 & reverse_line(all_1_4_4) = all_19_3_30 & unequally_directed_lines(all_1_9_9, all_19_3_30) = all_19_2_29 & unequally_directed_lines(all_1_9_9, all_1_4_4) = all_19_4_31 & ( ~ (all_19_2_29 = 0) | ~ (all_19_4_31 = 0) | ( ~ (all_19_0_27 = 0) & ~ (all_19_1_28 = 0)))
% 78.33/38.98 |
% 78.33/38.98 | Applying alpha-rule on (221) yields:
% 78.33/38.98 | (222) unequally_directed_lines(all_1_9_9, all_19_3_30) = all_19_2_29
% 78.33/38.98 | (223) apart_point_and_line(all_1_3_3, all_1_4_4) = all_19_0_27
% 78.33/38.98 | (224) ~ (all_19_2_29 = 0) | ~ (all_19_4_31 = 0) | ( ~ (all_19_0_27 = 0) & ~ (all_19_1_28 = 0))
% 78.33/38.98 | (225) reverse_line(all_1_4_4) = all_19_3_30
% 78.33/38.98 | (226) unequally_directed_lines(all_1_9_9, all_1_4_4) = all_19_4_31
% 78.33/38.98 | (227) apart_point_and_line(all_1_3_3, all_1_9_9) = all_19_1_28
% 78.33/38.98 |
% 78.33/38.98 | Instantiating (209) with all_21_0_32, all_21_1_33, all_21_2_34, all_21_3_35, all_21_4_36 yields:
% 78.33/38.98 | (228) apart_point_and_line(all_1_1_1, all_1_2_2) = all_21_0_32 & apart_point_and_line(all_1_1_1, all_1_9_9) = all_21_1_33 & reverse_line(all_1_2_2) = all_21_3_35 & unequally_directed_lines(all_1_9_9, all_21_3_35) = all_21_2_34 & unequally_directed_lines(all_1_9_9, all_1_2_2) = all_21_4_36 & ( ~ (all_21_2_34 = 0) | ~ (all_21_4_36 = 0) | ( ~ (all_21_0_32 = 0) & ~ (all_21_1_33 = 0)))
% 78.33/38.98 |
% 78.33/38.98 | Applying alpha-rule on (228) yields:
% 78.33/38.98 | (229) apart_point_and_line(all_1_1_1, all_1_9_9) = all_21_1_33
% 78.33/38.98 | (230) apart_point_and_line(all_1_1_1, all_1_2_2) = all_21_0_32
% 78.33/38.98 | (231) unequally_directed_lines(all_1_9_9, all_1_2_2) = all_21_4_36
% 78.33/38.98 | (232) ~ (all_21_2_34 = 0) | ~ (all_21_4_36 = 0) | ( ~ (all_21_0_32 = 0) & ~ (all_21_1_33 = 0))
% 78.33/38.98 | (233) reverse_line(all_1_2_2) = all_21_3_35
% 78.33/38.98 | (234) unequally_directed_lines(all_1_9_9, all_21_3_35) = all_21_2_34
% 78.33/38.98 |
% 78.33/38.98 | Instantiating (208) with all_23_0_37, all_23_1_38, all_23_2_39, all_23_3_40, all_23_4_41, all_23_5_42 yields:
% 78.33/38.98 | (235) point(all_1_1_1) = all_23_0_37 & line(all_1_2_2) = all_23_4_41 & line(all_1_9_9) = all_23_5_42 & reverse_line(all_1_2_2) = all_23_2_39 & unequally_directed_lines(all_1_9_9, all_23_2_39) = all_23_1_38 & unequally_directed_lines(all_1_9_9, all_1_2_2) = all_23_3_40 & ( ~ (all_23_1_38 = 0) | ~ (all_23_3_40 = 0) | ~ (all_23_4_41 = 0) | ~ (all_23_5_42 = 0) | all_23_0_37 = 0)
% 78.33/38.98 |
% 78.33/38.98 | Applying alpha-rule on (235) yields:
% 78.33/38.98 | (236) line(all_1_9_9) = all_23_5_42
% 78.33/38.98 | (237) point(all_1_1_1) = all_23_0_37
% 78.33/38.98 | (238) unequally_directed_lines(all_1_9_9, all_1_2_2) = all_23_3_40
% 78.33/38.98 | (239) unequally_directed_lines(all_1_9_9, all_23_2_39) = all_23_1_38
% 78.33/38.98 | (240) reverse_line(all_1_2_2) = all_23_2_39
% 78.33/38.98 | (241) ~ (all_23_1_38 = 0) | ~ (all_23_3_40 = 0) | ~ (all_23_4_41 = 0) | ~ (all_23_5_42 = 0) | all_23_0_37 = 0
% 78.33/38.98 | (242) line(all_1_2_2) = all_23_4_41
% 78.33/38.98 |
% 78.33/38.98 | Instantiating (210) with all_29_0_51, all_29_1_52, all_29_2_53, all_29_3_54, all_29_4_55, all_29_5_56 yields:
% 78.33/38.98 | (243) point(all_1_3_3) = all_29_0_51 & line(all_1_4_4) = all_29_4_55 & line(all_1_9_9) = all_29_5_56 & reverse_line(all_1_4_4) = all_29_2_53 & unequally_directed_lines(all_1_9_9, all_29_2_53) = all_29_1_52 & unequally_directed_lines(all_1_9_9, all_1_4_4) = all_29_3_54 & ( ~ (all_29_1_52 = 0) | ~ (all_29_3_54 = 0) | ~ (all_29_4_55 = 0) | ~ (all_29_5_56 = 0) | all_29_0_51 = 0)
% 78.33/38.98 |
% 78.33/38.98 | Applying alpha-rule on (243) yields:
% 78.33/38.98 | (244) line(all_1_9_9) = all_29_5_56
% 78.33/38.98 | (245) unequally_directed_lines(all_1_9_9, all_1_4_4) = all_29_3_54
% 78.33/38.98 | (246) point(all_1_3_3) = all_29_0_51
% 78.33/38.98 | (247) line(all_1_4_4) = all_29_4_55
% 78.33/38.98 | (248) reverse_line(all_1_4_4) = all_29_2_53
% 78.33/38.98 | (249) unequally_directed_lines(all_1_9_9, all_29_2_53) = all_29_1_52
% 78.33/38.98 | (250) ~ (all_29_1_52 = 0) | ~ (all_29_3_54 = 0) | ~ (all_29_4_55 = 0) | ~ (all_29_5_56 = 0) | all_29_0_51 = 0
% 78.33/38.98 |
% 78.33/38.98 | Instantiating formula (100) with all_1_2_2, all_21_3_35, all_23_2_39 and discharging atoms reverse_line(all_1_2_2) = all_23_2_39, reverse_line(all_1_2_2) = all_21_3_35, yields:
% 78.33/38.98 | (251) all_23_2_39 = all_21_3_35
% 78.33/38.98 |
% 78.33/38.98 | Instantiating formula (100) with all_1_4_4, all_19_3_30, all_29_2_53 and discharging atoms reverse_line(all_1_4_4) = all_29_2_53, reverse_line(all_1_4_4) = all_19_3_30, yields:
% 78.33/38.98 | (252) all_29_2_53 = all_19_3_30
% 78.33/38.98 |
% 78.33/38.98 | Instantiating formula (104) with all_1_9_9, all_21_3_35, all_21_2_34, all_23_1_38 and discharging atoms unequally_directed_lines(all_1_9_9, all_21_3_35) = all_21_2_34, yields:
% 78.33/38.98 | (253) all_23_1_38 = all_21_2_34 | ~ (unequally_directed_lines(all_1_9_9, all_21_3_35) = all_23_1_38)
% 78.33/38.98 |
% 78.33/38.98 | Instantiating formula (104) with all_1_9_9, all_19_3_30, all_19_2_29, all_29_1_52 and discharging atoms unequally_directed_lines(all_1_9_9, all_19_3_30) = all_19_2_29, yields:
% 78.33/38.98 | (254) all_29_1_52 = all_19_2_29 | ~ (unequally_directed_lines(all_1_9_9, all_19_3_30) = all_29_1_52)
% 78.33/38.98 |
% 78.33/38.98 | Instantiating formula (104) with all_1_9_9, all_1_2_2, all_21_4_36, all_23_3_40 and discharging atoms unequally_directed_lines(all_1_9_9, all_1_2_2) = all_23_3_40, unequally_directed_lines(all_1_9_9, all_1_2_2) = all_21_4_36, yields:
% 78.33/38.98 | (255) all_23_3_40 = all_21_4_36
% 78.33/38.98 |
% 78.33/38.98 | Instantiating formula (104) with all_1_9_9, all_1_4_4, all_19_4_31, all_29_3_54 and discharging atoms unequally_directed_lines(all_1_9_9, all_1_4_4) = all_29_3_54, unequally_directed_lines(all_1_9_9, all_1_4_4) = all_19_4_31, yields:
% 78.33/38.98 | (256) all_29_3_54 = all_19_4_31
% 78.33/38.98 |
% 78.33/38.98 | From (251) and (240) follows:
% 78.33/38.98 | (233) reverse_line(all_1_2_2) = all_21_3_35
% 78.33/38.98 |
% 78.33/38.98 | From (252) and (248) follows:
% 78.33/38.98 | (225) reverse_line(all_1_4_4) = all_19_3_30
% 78.33/38.98 |
% 78.33/38.98 | From (252) and (249) follows:
% 78.33/38.98 | (259) unequally_directed_lines(all_1_9_9, all_19_3_30) = all_29_1_52
% 78.33/38.98 |
% 78.33/38.98 | From (251) and (239) follows:
% 78.33/38.98 | (260) unequally_directed_lines(all_1_9_9, all_21_3_35) = all_23_1_38
% 78.33/38.98 |
% 78.33/38.98 | From (255) and (238) follows:
% 78.33/38.98 | (231) unequally_directed_lines(all_1_9_9, all_1_2_2) = all_21_4_36
% 78.33/38.98 |
% 78.33/38.98 | From (256) and (245) follows:
% 78.33/38.98 | (226) unequally_directed_lines(all_1_9_9, all_1_4_4) = all_19_4_31
% 78.33/38.98 |
% 78.33/38.98 +-Applying beta-rule and splitting (254), into two cases.
% 78.33/38.98 |-Branch one:
% 78.33/38.98 | (263) ~ (unequally_directed_lines(all_1_9_9, all_19_3_30) = all_29_1_52)
% 78.33/38.98 |
% 78.33/38.98 | Using (259) and (263) yields:
% 78.33/38.98 | (264) $false
% 78.33/38.99 |
% 78.33/38.99 |-The branch is then unsatisfiable
% 78.33/38.99 |-Branch two:
% 78.33/38.99 | (259) unequally_directed_lines(all_1_9_9, all_19_3_30) = all_29_1_52
% 78.33/38.99 | (266) all_29_1_52 = all_19_2_29
% 78.33/38.99 |
% 78.33/38.99 | From (266) and (259) follows:
% 78.33/38.99 | (222) unequally_directed_lines(all_1_9_9, all_19_3_30) = all_19_2_29
% 78.33/38.99 |
% 78.33/38.99 +-Applying beta-rule and splitting (253), into two cases.
% 78.33/38.99 |-Branch one:
% 78.33/38.99 | (268) ~ (unequally_directed_lines(all_1_9_9, all_21_3_35) = all_23_1_38)
% 78.33/38.99 |
% 78.33/38.99 | Using (260) and (268) yields:
% 78.33/38.99 | (264) $false
% 78.33/38.99 |
% 78.33/38.99 |-The branch is then unsatisfiable
% 78.33/38.99 |-Branch two:
% 78.33/38.99 | (260) unequally_directed_lines(all_1_9_9, all_21_3_35) = all_23_1_38
% 78.33/38.99 | (271) all_23_1_38 = all_21_2_34
% 78.33/38.99 |
% 78.33/38.99 | From (271) and (260) follows:
% 78.33/38.99 | (234) unequally_directed_lines(all_1_9_9, all_21_3_35) = all_21_2_34
% 78.33/38.99 |
% 78.33/38.99 | Instantiating formula (182) with all_21_2_34, all_21_2_34, all_21_3_35, all_1_2_2, all_1_9_9, all_1_9_9 and discharging atoms reverse_line(all_1_2_2) = all_21_3_35, unequally_directed_lines(all_1_9_9, all_21_3_35) = all_21_2_34, yields:
% 78.33/38.99 | (273) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (reverse_line(all_1_9_9) = v1 & unequally_directed_lines(all_1_9_9, v1) = v2 & unequally_directed_lines(all_1_9_9, all_1_2_2) = v4 & unequally_directed_lines(all_1_9_9, all_1_2_2) = v3 & unequally_directed_lines(all_1_9_9, all_1_9_9) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_21_2_34 = 0) | (v3 = 0 & all_21_2_34 = 0)))
% 78.33/38.99 |
% 78.33/38.99 | Instantiating formula (103) with all_21_2_34, all_21_2_34, all_21_3_35, all_1_9_9, all_1_9_9 and discharging atoms unequally_directed_lines(all_1_9_9, all_21_3_35) = all_21_2_34, yields:
% 78.33/38.99 | (274) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_21_3_35) = v3 & reverse_line(all_1_9_9) = v1 & unequally_directed_lines(all_1_9_9, v3) = v5 & unequally_directed_lines(all_1_9_9, v3) = v4 & unequally_directed_lines(all_1_9_9, v1) = v2 & unequally_directed_lines(all_1_9_9, all_1_9_9) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v5 = 0 & all_21_2_34 = 0) | (v4 = 0 & all_21_2_34 = 0)))
% 78.33/38.99 |
% 78.33/38.99 | Instantiating formula (182) with all_19_2_29, all_19_2_29, all_19_3_30, all_1_4_4, all_1_9_9, all_1_9_9 and discharging atoms reverse_line(all_1_4_4) = all_19_3_30, unequally_directed_lines(all_1_9_9, all_19_3_30) = all_19_2_29, yields:
% 78.33/38.99 | (275) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (reverse_line(all_1_9_9) = v1 & unequally_directed_lines(all_1_9_9, v1) = v2 & unequally_directed_lines(all_1_9_9, all_1_4_4) = v4 & unequally_directed_lines(all_1_9_9, all_1_4_4) = v3 & unequally_directed_lines(all_1_9_9, all_1_9_9) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_19_2_29 = 0) | (v3 = 0 & all_19_2_29 = 0)))
% 78.33/38.99 |
% 78.33/38.99 | Instantiating formula (103) with all_19_2_29, all_19_2_29, all_19_3_30, all_1_9_9, all_1_9_9 and discharging atoms unequally_directed_lines(all_1_9_9, all_19_3_30) = all_19_2_29, yields:
% 78.33/38.99 | (276) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_19_3_30) = v3 & reverse_line(all_1_9_9) = v1 & unequally_directed_lines(all_1_9_9, v3) = v5 & unequally_directed_lines(all_1_9_9, v3) = v4 & unequally_directed_lines(all_1_9_9, v1) = v2 & unequally_directed_lines(all_1_9_9, all_1_9_9) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v5 = 0 & all_19_2_29 = 0) | (v4 = 0 & all_19_2_29 = 0)))
% 78.33/38.99 |
% 78.33/38.99 | Instantiating formula (40) with all_21_2_34, all_21_3_35, all_21_4_36, all_1_2_2, all_1_9_9, all_1_9_9 and discharging atoms reverse_line(all_1_2_2) = all_21_3_35, unequally_directed_lines(all_1_9_9, all_21_3_35) = all_21_2_34, unequally_directed_lines(all_1_9_9, all_1_2_2) = all_21_4_36, yields:
% 78.33/38.99 | (277) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (reverse_line(all_1_9_9) = v1 & unequally_directed_lines(all_1_9_9, v1) = v2 & unequally_directed_lines(all_1_9_9, all_21_3_35) = v3 & unequally_directed_lines(all_1_9_9, all_1_2_2) = v4 & unequally_directed_lines(all_1_9_9, all_1_9_9) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_21_2_34 = 0) | (v3 = 0 & all_21_4_36 = 0)))
% 78.33/38.99 |
% 78.33/38.99 | Instantiating formula (52) with all_21_4_36, all_21_2_34, all_21_3_35, all_1_2_2, all_1_9_9, all_1_9_9 and discharging atoms reverse_line(all_1_2_2) = all_21_3_35, unequally_directed_lines(all_1_9_9, all_21_3_35) = all_21_2_34, unequally_directed_lines(all_1_9_9, all_1_2_2) = all_21_4_36, yields:
% 78.33/38.99 | (278) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (reverse_line(all_1_9_9) = v1 & unequally_directed_lines(all_1_9_9, v1) = v2 & unequally_directed_lines(all_1_9_9, all_21_3_35) = v4 & unequally_directed_lines(all_1_9_9, all_1_2_2) = v3 & unequally_directed_lines(all_1_9_9, all_1_9_9) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_21_4_36 = 0) | (v3 = 0 & all_21_2_34 = 0)))
% 78.33/38.99 |
% 78.33/38.99 | Instantiating formula (103) with all_21_4_36, all_21_4_36, all_1_2_2, all_1_9_9, all_1_9_9 and discharging atoms unequally_directed_lines(all_1_9_9, all_1_2_2) = all_21_4_36, yields:
% 78.33/38.99 | (279) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_2_2) = v3 & reverse_line(all_1_9_9) = v1 & unequally_directed_lines(all_1_9_9, v3) = v5 & unequally_directed_lines(all_1_9_9, v3) = v4 & unequally_directed_lines(all_1_9_9, v1) = v2 & unequally_directed_lines(all_1_9_9, all_1_9_9) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v5 = 0 & all_21_4_36 = 0) | (v4 = 0 & all_21_4_36 = 0)))
% 78.33/38.99 |
% 78.33/38.99 | Instantiating formula (40) with all_19_2_29, all_19_3_30, all_19_4_31, all_1_4_4, all_1_9_9, all_1_9_9 and discharging atoms reverse_line(all_1_4_4) = all_19_3_30, unequally_directed_lines(all_1_9_9, all_19_3_30) = all_19_2_29, unequally_directed_lines(all_1_9_9, all_1_4_4) = all_19_4_31, yields:
% 78.33/38.99 | (280) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (reverse_line(all_1_9_9) = v1 & unequally_directed_lines(all_1_9_9, v1) = v2 & unequally_directed_lines(all_1_9_9, all_19_3_30) = v3 & unequally_directed_lines(all_1_9_9, all_1_4_4) = v4 & unequally_directed_lines(all_1_9_9, all_1_9_9) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_19_2_29 = 0) | (v3 = 0 & all_19_4_31 = 0)))
% 78.33/38.99 |
% 78.33/38.99 | Instantiating formula (52) with all_19_4_31, all_19_2_29, all_19_3_30, all_1_4_4, all_1_9_9, all_1_9_9 and discharging atoms reverse_line(all_1_4_4) = all_19_3_30, unequally_directed_lines(all_1_9_9, all_19_3_30) = all_19_2_29, unequally_directed_lines(all_1_9_9, all_1_4_4) = all_19_4_31, yields:
% 78.33/38.99 | (281) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (reverse_line(all_1_9_9) = v1 & unequally_directed_lines(all_1_9_9, v1) = v2 & unequally_directed_lines(all_1_9_9, all_19_3_30) = v4 & unequally_directed_lines(all_1_9_9, all_1_4_4) = v3 & unequally_directed_lines(all_1_9_9, all_1_9_9) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_19_4_31 = 0) | (v3 = 0 & all_19_2_29 = 0)))
% 78.33/38.99 |
% 78.33/38.99 | Instantiating formula (103) with all_19_4_31, all_19_4_31, all_1_4_4, all_1_9_9, all_1_9_9 and discharging atoms unequally_directed_lines(all_1_9_9, all_1_4_4) = all_19_4_31, yields:
% 78.33/38.99 | (282) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_4_4) = v3 & reverse_line(all_1_9_9) = v1 & unequally_directed_lines(all_1_9_9, v3) = v5 & unequally_directed_lines(all_1_9_9, v3) = v4 & unequally_directed_lines(all_1_9_9, v1) = v2 & unequally_directed_lines(all_1_9_9, all_1_9_9) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v5 = 0 & all_19_4_31 = 0) | (v4 = 0 & all_19_4_31 = 0)))
% 78.33/38.99 |
% 78.33/38.99 | Instantiating formula (172) with 0, all_21_3_35, all_1_8_8, all_1_2_2, all_1_9_9 and discharging atoms reverse_line(all_1_2_2) = all_21_3_35, unequally_directed_lines(all_1_9_9, all_1_8_8) = 0, yields:
% 78.33/38.99 | (283) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_8_8) = v2 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_1_8_8) = v4 & unequally_directed_lines(all_1_9_9, v2) = v3 & unequally_directed_lines(all_1_9_9, all_21_3_35) = v1 & unequally_directed_lines(all_1_9_9, all_1_2_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | (v5 = 0 & v4 = 0)))
% 78.33/38.99 |
% 78.33/38.99 | Instantiating formula (172) with 0, all_19_3_30, all_1_8_8, all_1_4_4, all_1_9_9 and discharging atoms reverse_line(all_1_4_4) = all_19_3_30, unequally_directed_lines(all_1_9_9, all_1_8_8) = 0, yields:
% 78.33/38.99 | (284) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_8_8) = v2 & unequally_directed_lines(all_1_4_4, v2) = v5 & unequally_directed_lines(all_1_4_4, all_1_8_8) = v4 & unequally_directed_lines(all_1_9_9, v2) = v3 & unequally_directed_lines(all_1_9_9, all_19_3_30) = v1 & unequally_directed_lines(all_1_9_9, all_1_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | (v5 = 0 & v4 = 0)))
% 78.33/38.99 |
% 78.33/38.99 | Instantiating formula (103) with 0, 0, all_1_8_8, all_1_9_9, all_1_9_9 and discharging atoms unequally_directed_lines(all_1_9_9, all_1_8_8) = 0, yields:
% 78.33/38.99 | (285) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_8_8) = v3 & reverse_line(all_1_9_9) = v1 & unequally_directed_lines(all_1_9_9, v3) = v5 & unequally_directed_lines(all_1_9_9, v3) = v4 & unequally_directed_lines(all_1_9_9, v1) = v2 & unequally_directed_lines(all_1_9_9, all_1_9_9) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | v5 = 0 | v4 = 0))
% 78.33/38.99 |
% 78.33/38.99 | Instantiating formula (10) with 0, all_1_8_8, all_1_8_8, all_1_9_9 and discharging atoms unequally_directed_lines(all_1_9_9, all_1_8_8) = 0, yields:
% 78.33/38.99 | (286) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_8_8) = v2 & reverse_line(all_1_8_8) = v0 & unequally_directed_lines(all_1_8_8, v2) = v5 & unequally_directed_lines(all_1_8_8, all_1_8_8) = v4 & unequally_directed_lines(all_1_9_9, v2) = v3 & unequally_directed_lines(all_1_9_9, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0)))
% 78.33/38.99 |
% 78.33/38.99 | Instantiating formula (155) with all_21_3_35, all_1_2_2, all_1_8_8, all_1_9_9 and discharging atoms reverse_line(all_1_2_2) = all_21_3_35, unequally_directed_lines(all_1_9_9, all_1_8_8) = 0, yields:
% 78.33/38.99 | (287) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_8_8) = v0 & unequally_directed_lines(all_1_8_8, all_21_3_35) = v5 & unequally_directed_lines(all_1_8_8, all_1_2_2) = v4 & unequally_directed_lines(all_1_9_9, v0) = v1 & unequally_directed_lines(all_1_9_9, all_21_3_35) = v3 & unequally_directed_lines(all_1_9_9, all_1_2_2) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0)))
% 78.33/38.99 |
% 78.33/38.99 | Instantiating formula (155) with all_19_3_30, all_1_4_4, all_1_8_8, all_1_9_9 and discharging atoms reverse_line(all_1_4_4) = all_19_3_30, unequally_directed_lines(all_1_9_9, all_1_8_8) = 0, yields:
% 78.33/38.99 | (288) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_8_8) = v0 & unequally_directed_lines(all_1_8_8, all_19_3_30) = v5 & unequally_directed_lines(all_1_8_8, all_1_4_4) = v4 & unequally_directed_lines(all_1_9_9, v0) = v1 & unequally_directed_lines(all_1_9_9, all_19_3_30) = v3 & unequally_directed_lines(all_1_9_9, all_1_4_4) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0)))
% 78.33/38.99 |
% 78.33/38.99 | Instantiating formula (10) with all_21_2_34, all_21_3_35, all_1_8_8, all_1_9_9 and discharging atoms unequally_directed_lines(all_1_9_9, all_21_3_35) = all_21_2_34, unequally_directed_lines(all_1_9_9, all_1_8_8) = 0, yields:
% 78.33/38.99 | (289) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_21_3_35) = v2 & reverse_line(all_1_8_8) = v0 & unequally_directed_lines(all_1_8_8, v2) = v5 & unequally_directed_lines(all_1_8_8, all_21_3_35) = v4 & unequally_directed_lines(all_1_9_9, v2) = v3 & unequally_directed_lines(all_1_9_9, v0) = v1 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_21_2_34 = 0)))
% 78.33/38.99 |
% 78.33/38.99 | Instantiating formula (10) with all_19_2_29, all_19_3_30, all_1_8_8, all_1_9_9 and discharging atoms unequally_directed_lines(all_1_9_9, all_19_3_30) = all_19_2_29, unequally_directed_lines(all_1_9_9, all_1_8_8) = 0, yields:
% 78.33/38.99 | (290) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_19_3_30) = v2 & reverse_line(all_1_8_8) = v0 & unequally_directed_lines(all_1_8_8, v2) = v5 & unequally_directed_lines(all_1_8_8, all_19_3_30) = v4 & unequally_directed_lines(all_1_9_9, v2) = v3 & unequally_directed_lines(all_1_9_9, v0) = v1 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_19_2_29 = 0)))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (10) with all_21_4_36, all_1_2_2, all_1_8_8, all_1_9_9 and discharging atoms unequally_directed_lines(all_1_9_9, all_1_2_2) = all_21_4_36, unequally_directed_lines(all_1_9_9, all_1_8_8) = 0, yields:
% 78.33/39.00 | (291) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_2_2) = v2 & reverse_line(all_1_8_8) = v0 & unequally_directed_lines(all_1_8_8, v2) = v5 & unequally_directed_lines(all_1_8_8, all_1_2_2) = v4 & unequally_directed_lines(all_1_9_9, v2) = v3 & unequally_directed_lines(all_1_9_9, v0) = v1 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_21_4_36 = 0)))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (10) with all_19_4_31, all_1_4_4, all_1_8_8, all_1_9_9 and discharging atoms unequally_directed_lines(all_1_9_9, all_1_4_4) = all_19_4_31, unequally_directed_lines(all_1_9_9, all_1_8_8) = 0, yields:
% 78.33/39.00 | (292) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_4_4) = v2 & reverse_line(all_1_8_8) = v0 & unequally_directed_lines(all_1_8_8, v2) = v5 & unequally_directed_lines(all_1_8_8, all_1_4_4) = v4 & unequally_directed_lines(all_1_9_9, v2) = v3 & unequally_directed_lines(all_1_9_9, v0) = v1 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_19_4_31 = 0)))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (181) with all_1_8_8, all_1_9_9 and discharging atoms unequally_directed_lines(all_1_9_9, all_1_8_8) = 0, yields:
% 78.33/39.00 | (293) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (intersection_point(all_1_9_9, all_1_8_8) = v4 & point(v4) = v5 & line(all_1_8_8) = v1 & line(all_1_9_9) = v0 & reverse_line(all_1_8_8) = v2 & unequally_directed_lines(all_1_9_9, v2) = v3 & ( ~ (v3 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (1) with all_1_8_8, all_1_9_9 and discharging atoms unequally_directed_lines(all_1_9_9, all_1_8_8) = 0, yields:
% 78.33/39.00 | (294) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection_point(all_1_9_9, all_1_8_8) = v2 & apart_point_and_line(v2, all_1_8_8) = v4 & apart_point_and_line(v2, all_1_9_9) = v3 & reverse_line(all_1_8_8) = v0 & unequally_directed_lines(all_1_9_9, v0) = v1 & ( ~ (v1 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0))))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (125) with all_1_8_8, all_1_9_9 and discharging atoms unequally_directed_lines(all_1_9_9, all_1_8_8) = 0, yields:
% 78.33/39.00 | (295) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (left_convergent_lines(all_1_9_9, v0) = v3 & left_convergent_lines(all_1_9_9, all_1_8_8) = v2 & reverse_line(all_1_8_8) = v0 & unequally_directed_lines(all_1_9_9, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | v2 = 0))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (172) with 0, all_21_3_35, all_1_8_8, all_1_2_2, all_1_10_10 and discharging atoms reverse_line(all_1_2_2) = all_21_3_35, unequally_directed_lines(all_1_10_10, all_1_8_8) = 0, yields:
% 78.33/39.00 | (296) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_8_8) = v2 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_1_8_8) = v4 & unequally_directed_lines(all_1_10_10, v2) = v3 & unequally_directed_lines(all_1_10_10, all_21_3_35) = v1 & unequally_directed_lines(all_1_10_10, all_1_2_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | (v5 = 0 & v4 = 0)))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (172) with 0, all_19_3_30, all_1_8_8, all_1_4_4, all_1_10_10 and discharging atoms reverse_line(all_1_4_4) = all_19_3_30, unequally_directed_lines(all_1_10_10, all_1_8_8) = 0, yields:
% 78.33/39.00 | (297) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_8_8) = v2 & unequally_directed_lines(all_1_4_4, v2) = v5 & unequally_directed_lines(all_1_4_4, all_1_8_8) = v4 & unequally_directed_lines(all_1_10_10, v2) = v3 & unequally_directed_lines(all_1_10_10, all_19_3_30) = v1 & unequally_directed_lines(all_1_10_10, all_1_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | (v5 = 0 & v4 = 0)))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (103) with 0, 0, all_1_8_8, all_1_10_10, all_1_9_9 and discharging atoms unequally_directed_lines(all_1_9_9, all_1_8_8) = 0, unequally_directed_lines(all_1_10_10, all_1_8_8) = 0, yields:
% 78.33/39.00 | (298) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_8_8) = v3 & reverse_line(all_1_10_10) = v1 & unequally_directed_lines(all_1_9_9, v3) = v4 & unequally_directed_lines(all_1_9_9, v1) = v2 & unequally_directed_lines(all_1_9_9, all_1_10_10) = v0 & unequally_directed_lines(all_1_10_10, v3) = v5 & ( ~ (v2 = 0) | ~ (v0 = 0) | v5 = 0 | v4 = 0))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (103) with 0, 0, all_1_8_8, all_1_9_9, all_1_10_10 and discharging atoms unequally_directed_lines(all_1_9_9, all_1_8_8) = 0, unequally_directed_lines(all_1_10_10, all_1_8_8) = 0, yields:
% 78.33/39.00 | (299) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_8_8) = v3 & reverse_line(all_1_9_9) = v1 & unequally_directed_lines(all_1_9_9, v3) = v5 & unequally_directed_lines(all_1_10_10, v3) = v4 & unequally_directed_lines(all_1_10_10, v1) = v2 & unequally_directed_lines(all_1_10_10, all_1_9_9) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | v5 = 0 | v4 = 0))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (10) with 0, all_1_8_8, all_1_8_8, all_1_10_10 and discharging atoms unequally_directed_lines(all_1_10_10, all_1_8_8) = 0, yields:
% 78.33/39.00 | (300) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_8_8) = v2 & reverse_line(all_1_8_8) = v0 & unequally_directed_lines(all_1_8_8, v2) = v5 & unequally_directed_lines(all_1_8_8, all_1_8_8) = v4 & unequally_directed_lines(all_1_10_10, v2) = v3 & unequally_directed_lines(all_1_10_10, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0)))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (103) with 0, 0, all_1_8_8, all_1_10_10, all_1_10_10 and discharging atoms unequally_directed_lines(all_1_10_10, all_1_8_8) = 0, yields:
% 78.33/39.00 | (301) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_8_8) = v3 & reverse_line(all_1_10_10) = v1 & unequally_directed_lines(all_1_10_10, v3) = v5 & unequally_directed_lines(all_1_10_10, v3) = v4 & unequally_directed_lines(all_1_10_10, v1) = v2 & unequally_directed_lines(all_1_10_10, all_1_10_10) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | v5 = 0 | v4 = 0))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (155) with all_21_3_35, all_1_2_2, all_1_8_8, all_1_10_10 and discharging atoms reverse_line(all_1_2_2) = all_21_3_35, unequally_directed_lines(all_1_10_10, all_1_8_8) = 0, yields:
% 78.33/39.00 | (302) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_8_8) = v0 & unequally_directed_lines(all_1_8_8, all_21_3_35) = v5 & unequally_directed_lines(all_1_8_8, all_1_2_2) = v4 & unequally_directed_lines(all_1_10_10, v0) = v1 & unequally_directed_lines(all_1_10_10, all_21_3_35) = v3 & unequally_directed_lines(all_1_10_10, all_1_2_2) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0)))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (155) with all_19_3_30, all_1_4_4, all_1_8_8, all_1_10_10 and discharging atoms reverse_line(all_1_4_4) = all_19_3_30, unequally_directed_lines(all_1_10_10, all_1_8_8) = 0, yields:
% 78.33/39.00 | (303) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_8_8) = v0 & unequally_directed_lines(all_1_8_8, all_19_3_30) = v5 & unequally_directed_lines(all_1_8_8, all_1_4_4) = v4 & unequally_directed_lines(all_1_10_10, v0) = v1 & unequally_directed_lines(all_1_10_10, all_19_3_30) = v3 & unequally_directed_lines(all_1_10_10, all_1_4_4) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0)))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (160) with all_21_2_34, all_21_3_35, all_1_9_9, all_1_10_10 and discharging atoms unequally_directed_lines(all_1_9_9, all_21_3_35) = all_21_2_34, unequally_directed_lines(all_1_10_10, all_1_9_9) = 0, yields:
% 78.33/39.00 | (304) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_21_3_35) = v3 & reverse_line(all_1_9_9) = v0 & unequally_directed_lines(all_1_9_9, v3) = v5 & unequally_directed_lines(all_1_10_10, v3) = v4 & unequally_directed_lines(all_1_10_10, v0) = v1 & unequally_directed_lines(all_1_10_10, all_21_3_35) = v2 & ( ~ (v1 = 0) | (v5 = 0 & all_21_2_34 = 0) | (v4 = 0 & v2 = 0)))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (160) with all_19_2_29, all_19_3_30, all_1_9_9, all_1_10_10 and discharging atoms unequally_directed_lines(all_1_9_9, all_19_3_30) = all_19_2_29, unequally_directed_lines(all_1_10_10, all_1_9_9) = 0, yields:
% 78.33/39.00 | (305) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_19_3_30) = v3 & reverse_line(all_1_9_9) = v0 & unequally_directed_lines(all_1_9_9, v3) = v5 & unequally_directed_lines(all_1_10_10, v3) = v4 & unequally_directed_lines(all_1_10_10, v0) = v1 & unequally_directed_lines(all_1_10_10, all_19_3_30) = v2 & ( ~ (v1 = 0) | (v5 = 0 & all_19_2_29 = 0) | (v4 = 0 & v2 = 0)))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (160) with all_21_4_36, all_1_2_2, all_1_9_9, all_1_10_10 and discharging atoms unequally_directed_lines(all_1_9_9, all_1_2_2) = all_21_4_36, unequally_directed_lines(all_1_10_10, all_1_9_9) = 0, yields:
% 78.33/39.00 | (306) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_2_2) = v3 & reverse_line(all_1_9_9) = v0 & unequally_directed_lines(all_1_9_9, v3) = v5 & unequally_directed_lines(all_1_10_10, v3) = v4 & unequally_directed_lines(all_1_10_10, v0) = v1 & unequally_directed_lines(all_1_10_10, all_1_2_2) = v2 & ( ~ (v1 = 0) | (v5 = 0 & all_21_4_36 = 0) | (v4 = 0 & v2 = 0)))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (160) with all_19_4_31, all_1_4_4, all_1_9_9, all_1_10_10 and discharging atoms unequally_directed_lines(all_1_9_9, all_1_4_4) = all_19_4_31, unequally_directed_lines(all_1_10_10, all_1_9_9) = 0, yields:
% 78.33/39.00 | (307) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_4_4) = v3 & reverse_line(all_1_9_9) = v0 & unequally_directed_lines(all_1_9_9, v3) = v5 & unequally_directed_lines(all_1_10_10, v3) = v4 & unequally_directed_lines(all_1_10_10, v0) = v1 & unequally_directed_lines(all_1_10_10, all_1_4_4) = v2 & ( ~ (v1 = 0) | (v5 = 0 & all_19_4_31 = 0) | (v4 = 0 & v2 = 0)))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (181) with all_1_8_8, all_1_10_10 and discharging atoms unequally_directed_lines(all_1_10_10, all_1_8_8) = 0, yields:
% 78.33/39.00 | (308) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (intersection_point(all_1_10_10, all_1_8_8) = v4 & point(v4) = v5 & line(all_1_8_8) = v1 & line(all_1_10_10) = v0 & reverse_line(all_1_8_8) = v2 & unequally_directed_lines(all_1_10_10, v2) = v3 & ( ~ (v3 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (1) with all_1_8_8, all_1_10_10 and discharging atoms unequally_directed_lines(all_1_10_10, all_1_8_8) = 0, yields:
% 78.33/39.00 | (309) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection_point(all_1_10_10, all_1_8_8) = v2 & apart_point_and_line(v2, all_1_8_8) = v4 & apart_point_and_line(v2, all_1_10_10) = v3 & reverse_line(all_1_8_8) = v0 & unequally_directed_lines(all_1_10_10, v0) = v1 & ( ~ (v1 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0))))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (125) with all_1_8_8, all_1_10_10 and discharging atoms unequally_directed_lines(all_1_10_10, all_1_8_8) = 0, yields:
% 78.33/39.00 | (310) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (left_convergent_lines(all_1_10_10, v0) = v3 & left_convergent_lines(all_1_10_10, all_1_8_8) = v2 & reverse_line(all_1_8_8) = v0 & unequally_directed_lines(all_1_10_10, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | v2 = 0))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (172) with 0, all_21_3_35, all_1_9_9, all_1_2_2, all_1_10_10 and discharging atoms reverse_line(all_1_2_2) = all_21_3_35, unequally_directed_lines(all_1_10_10, all_1_9_9) = 0, yields:
% 78.33/39.00 | (311) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_9_9) = v2 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_1_9_9) = v4 & unequally_directed_lines(all_1_10_10, v2) = v3 & unequally_directed_lines(all_1_10_10, all_21_3_35) = v1 & unequally_directed_lines(all_1_10_10, all_1_2_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | (v5 = 0 & v4 = 0)))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (172) with 0, all_19_3_30, all_1_9_9, all_1_4_4, all_1_10_10 and discharging atoms reverse_line(all_1_4_4) = all_19_3_30, unequally_directed_lines(all_1_10_10, all_1_9_9) = 0, yields:
% 78.33/39.00 | (312) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_9_9) = v2 & unequally_directed_lines(all_1_4_4, v2) = v5 & unequally_directed_lines(all_1_4_4, all_1_9_9) = v4 & unequally_directed_lines(all_1_10_10, v2) = v3 & unequally_directed_lines(all_1_10_10, all_19_3_30) = v1 & unequally_directed_lines(all_1_10_10, all_1_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | (v5 = 0 & v4 = 0)))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (103) with 0, 0, all_1_9_9, all_1_10_10, all_1_10_10 and discharging atoms unequally_directed_lines(all_1_10_10, all_1_9_9) = 0, yields:
% 78.33/39.00 | (313) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_9_9) = v3 & reverse_line(all_1_10_10) = v1 & unequally_directed_lines(all_1_10_10, v3) = v5 & unequally_directed_lines(all_1_10_10, v3) = v4 & unequally_directed_lines(all_1_10_10, v1) = v2 & unequally_directed_lines(all_1_10_10, all_1_10_10) = v0 & ( ~ (v2 = 0) | ~ (v0 = 0) | v5 = 0 | v4 = 0))
% 78.33/39.00 |
% 78.33/39.00 | Instantiating formula (10) with 0, all_1_9_9, all_1_8_8, all_1_10_10 and discharging atoms unequally_directed_lines(all_1_10_10, all_1_8_8) = 0, unequally_directed_lines(all_1_10_10, all_1_9_9) = 0, yields:
% 78.33/39.01 | (314) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_8_8) = v0 & reverse_line(all_1_9_9) = v2 & unequally_directed_lines(all_1_8_8, v2) = v5 & unequally_directed_lines(all_1_8_8, all_1_9_9) = v4 & unequally_directed_lines(all_1_10_10, v2) = v3 & unequally_directed_lines(all_1_10_10, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0)))
% 78.33/39.01 |
% 78.33/39.01 | Instantiating formula (10) with 0, all_1_9_9, all_1_9_9, all_1_10_10 and discharging atoms unequally_directed_lines(all_1_10_10, all_1_9_9) = 0, yields:
% 78.33/39.01 | (315) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_9_9) = v2 & reverse_line(all_1_9_9) = v0 & unequally_directed_lines(all_1_9_9, v2) = v5 & unequally_directed_lines(all_1_9_9, all_1_9_9) = v4 & unequally_directed_lines(all_1_10_10, v2) = v3 & unequally_directed_lines(all_1_10_10, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0)))
% 78.33/39.01 |
% 78.33/39.01 | Instantiating formula (155) with all_21_3_35, all_1_2_2, all_1_9_9, all_1_10_10 and discharging atoms reverse_line(all_1_2_2) = all_21_3_35, unequally_directed_lines(all_1_10_10, all_1_9_9) = 0, yields:
% 78.33/39.01 | (316) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_9_9) = v0 & unequally_directed_lines(all_1_9_9, all_21_3_35) = v5 & unequally_directed_lines(all_1_9_9, all_1_2_2) = v4 & unequally_directed_lines(all_1_10_10, v0) = v1 & unequally_directed_lines(all_1_10_10, all_21_3_35) = v3 & unequally_directed_lines(all_1_10_10, all_1_2_2) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0)))
% 78.33/39.01 |
% 78.33/39.01 | Instantiating formula (155) with all_19_3_30, all_1_4_4, all_1_9_9, all_1_10_10 and discharging atoms reverse_line(all_1_4_4) = all_19_3_30, unequally_directed_lines(all_1_10_10, all_1_9_9) = 0, yields:
% 78.33/39.01 | (317) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_9_9) = v0 & unequally_directed_lines(all_1_9_9, all_19_3_30) = v5 & unequally_directed_lines(all_1_9_9, all_1_4_4) = v4 & unequally_directed_lines(all_1_10_10, v0) = v1 & unequally_directed_lines(all_1_10_10, all_19_3_30) = v3 & unequally_directed_lines(all_1_10_10, all_1_4_4) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0)))
% 78.33/39.01 |
% 78.33/39.01 | Instantiating formula (160) with 0, all_1_8_8, all_1_9_9, all_1_10_10 and discharging atoms unequally_directed_lines(all_1_9_9, all_1_8_8) = 0, unequally_directed_lines(all_1_10_10, all_1_9_9) = 0, yields:
% 78.33/39.01 | (318) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_8_8) = v3 & reverse_line(all_1_9_9) = v0 & unequally_directed_lines(all_1_9_9, v3) = v5 & unequally_directed_lines(all_1_10_10, v3) = v4 & unequally_directed_lines(all_1_10_10, v0) = v1 & unequally_directed_lines(all_1_10_10, all_1_8_8) = v2 & ( ~ (v1 = 0) | v5 = 0 | (v4 = 0 & v2 = 0)))
% 78.33/39.01 |
% 78.33/39.01 | Instantiating formula (10) with 0, all_1_8_8, all_1_9_9, all_1_10_10 and discharging atoms unequally_directed_lines(all_1_10_10, all_1_8_8) = 0, unequally_directed_lines(all_1_10_10, all_1_9_9) = 0, yields:
% 78.33/39.01 | (319) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (reverse_line(all_1_8_8) = v2 & reverse_line(all_1_9_9) = v0 & unequally_directed_lines(all_1_9_9, v2) = v5 & unequally_directed_lines(all_1_9_9, all_1_8_8) = v4 & unequally_directed_lines(all_1_10_10, v2) = v3 & unequally_directed_lines(all_1_10_10, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0)))
% 78.33/39.01 |
% 78.33/39.01 | Instantiating formula (181) with all_1_9_9, all_1_10_10 and discharging atoms unequally_directed_lines(all_1_10_10, all_1_9_9) = 0, yields:
% 78.33/39.01 | (320) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (intersection_point(all_1_10_10, all_1_9_9) = v4 & point(v4) = v5 & line(all_1_9_9) = v1 & line(all_1_10_10) = v0 & reverse_line(all_1_9_9) = v2 & unequally_directed_lines(all_1_10_10, v2) = v3 & ( ~ (v3 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 78.33/39.01 |
% 78.33/39.01 | Instantiating formula (1) with all_1_9_9, all_1_10_10 and discharging atoms unequally_directed_lines(all_1_10_10, all_1_9_9) = 0, yields:
% 78.33/39.01 | (321) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection_point(all_1_10_10, all_1_9_9) = v2 & apart_point_and_line(v2, all_1_9_9) = v4 & apart_point_and_line(v2, all_1_10_10) = v3 & reverse_line(all_1_9_9) = v0 & unequally_directed_lines(all_1_10_10, v0) = v1 & ( ~ (v1 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0))))
% 78.33/39.01 |
% 78.33/39.01 | Instantiating formula (125) with all_1_9_9, all_1_10_10 and discharging atoms unequally_directed_lines(all_1_10_10, all_1_9_9) = 0, yields:
% 78.33/39.01 | (322) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (left_convergent_lines(all_1_10_10, v0) = v3 & left_convergent_lines(all_1_10_10, all_1_9_9) = v2 & reverse_line(all_1_9_9) = v0 & unequally_directed_lines(all_1_10_10, v0) = v1 & ( ~ (v1 = 0) | v3 = 0 | v2 = 0))
% 78.33/39.01 |
% 78.33/39.01 | Instantiating formula (194) with all_1_8_8, all_1_9_9 and discharging atoms unequally_directed_opposite_lines(all_1_9_9, all_1_8_8) = 0, yields:
% 78.33/39.01 | (323) ? [v0] : (reverse_line(all_1_8_8) = v0 & unequally_directed_lines(all_1_9_9, v0) = 0)
% 78.33/39.01 |
% 78.33/39.01 | Instantiating formula (194) with all_1_8_8, all_1_10_10 and discharging atoms unequally_directed_opposite_lines(all_1_10_10, all_1_8_8) = 0, yields:
% 78.33/39.01 | (324) ? [v0] : (reverse_line(all_1_8_8) = v0 & unequally_directed_lines(all_1_10_10, v0) = 0)
% 78.33/39.01 |
% 78.33/39.01 | Instantiating formula (194) with all_1_9_9, all_1_10_10 and discharging atoms unequally_directed_opposite_lines(all_1_10_10, all_1_9_9) = 0, yields:
% 78.33/39.01 | (325) ? [v0] : (reverse_line(all_1_9_9) = v0 & unequally_directed_lines(all_1_10_10, v0) = 0)
% 78.33/39.01 |
% 78.33/39.01 | Instantiating (325) with all_78_0_65 yields:
% 78.33/39.01 | (326) reverse_line(all_1_9_9) = all_78_0_65 & unequally_directed_lines(all_1_10_10, all_78_0_65) = 0
% 78.33/39.01 |
% 78.33/39.01 | Applying alpha-rule on (326) yields:
% 78.33/39.01 | (327) reverse_line(all_1_9_9) = all_78_0_65
% 78.33/39.01 | (328) unequally_directed_lines(all_1_10_10, all_78_0_65) = 0
% 78.33/39.01 |
% 78.33/39.01 | Instantiating (319) with all_82_0_67, all_82_1_68, all_82_2_69, all_82_3_70, all_82_4_71, all_82_5_72 yields:
% 78.33/39.01 | (329) reverse_line(all_1_8_8) = all_82_3_70 & reverse_line(all_1_9_9) = all_82_5_72 & unequally_directed_lines(all_1_9_9, all_82_3_70) = all_82_0_67 & unequally_directed_lines(all_1_9_9, all_1_8_8) = all_82_1_68 & unequally_directed_lines(all_1_10_10, all_82_3_70) = all_82_2_69 & unequally_directed_lines(all_1_10_10, all_82_5_72) = all_82_4_71 & ( ~ (all_82_4_71 = 0) | all_82_2_69 = 0 | (all_82_0_67 = 0 & all_82_1_68 = 0))
% 78.33/39.01 |
% 78.75/39.01 | Applying alpha-rule on (329) yields:
% 78.75/39.01 | (330) reverse_line(all_1_9_9) = all_82_5_72
% 78.75/39.01 | (331) unequally_directed_lines(all_1_10_10, all_82_5_72) = all_82_4_71
% 78.75/39.01 | (332) reverse_line(all_1_8_8) = all_82_3_70
% 78.75/39.01 | (333) unequally_directed_lines(all_1_10_10, all_82_3_70) = all_82_2_69
% 78.75/39.01 | (334) ~ (all_82_4_71 = 0) | all_82_2_69 = 0 | (all_82_0_67 = 0 & all_82_1_68 = 0)
% 78.75/39.01 | (335) unequally_directed_lines(all_1_9_9, all_82_3_70) = all_82_0_67
% 78.75/39.01 | (336) unequally_directed_lines(all_1_9_9, all_1_8_8) = all_82_1_68
% 78.75/39.01 |
% 78.75/39.01 | Instantiating (318) with all_84_0_73, all_84_1_74, all_84_2_75, all_84_3_76, all_84_4_77, all_84_5_78 yields:
% 78.75/39.01 | (337) reverse_line(all_1_8_8) = all_84_2_75 & reverse_line(all_1_9_9) = all_84_5_78 & unequally_directed_lines(all_1_9_9, all_84_2_75) = all_84_0_73 & unequally_directed_lines(all_1_10_10, all_84_2_75) = all_84_1_74 & unequally_directed_lines(all_1_10_10, all_84_5_78) = all_84_4_77 & unequally_directed_lines(all_1_10_10, all_1_8_8) = all_84_3_76 & ( ~ (all_84_4_77 = 0) | all_84_0_73 = 0 | (all_84_1_74 = 0 & all_84_3_76 = 0))
% 78.75/39.01 |
% 78.75/39.01 | Applying alpha-rule on (337) yields:
% 78.75/39.01 | (338) ~ (all_84_4_77 = 0) | all_84_0_73 = 0 | (all_84_1_74 = 0 & all_84_3_76 = 0)
% 78.75/39.01 | (339) unequally_directed_lines(all_1_9_9, all_84_2_75) = all_84_0_73
% 78.75/39.01 | (340) unequally_directed_lines(all_1_10_10, all_1_8_8) = all_84_3_76
% 78.75/39.01 | (341) reverse_line(all_1_9_9) = all_84_5_78
% 78.75/39.01 | (342) unequally_directed_lines(all_1_10_10, all_84_5_78) = all_84_4_77
% 78.75/39.01 | (343) reverse_line(all_1_8_8) = all_84_2_75
% 78.75/39.01 | (344) unequally_directed_lines(all_1_10_10, all_84_2_75) = all_84_1_74
% 78.75/39.01 |
% 78.75/39.01 | Instantiating (312) with all_86_0_79, all_86_1_80, all_86_2_81, all_86_3_82, all_86_4_83, all_86_5_84 yields:
% 78.75/39.01 | (345) reverse_line(all_1_9_9) = all_86_3_82 & unequally_directed_lines(all_1_4_4, all_86_3_82) = all_86_0_79 & unequally_directed_lines(all_1_4_4, all_1_9_9) = all_86_1_80 & unequally_directed_lines(all_1_10_10, all_86_3_82) = all_86_2_81 & unequally_directed_lines(all_1_10_10, all_19_3_30) = all_86_4_83 & unequally_directed_lines(all_1_10_10, all_1_4_4) = all_86_5_84 & ( ~ (all_86_4_83 = 0) | ~ (all_86_5_84 = 0) | all_86_2_81 = 0 | (all_86_0_79 = 0 & all_86_1_80 = 0))
% 78.75/39.01 |
% 78.75/39.01 | Applying alpha-rule on (345) yields:
% 78.75/39.01 | (346) unequally_directed_lines(all_1_4_4, all_86_3_82) = all_86_0_79
% 78.75/39.01 | (347) unequally_directed_lines(all_1_10_10, all_19_3_30) = all_86_4_83
% 78.75/39.01 | (348) unequally_directed_lines(all_1_4_4, all_1_9_9) = all_86_1_80
% 78.75/39.01 | (349) unequally_directed_lines(all_1_10_10, all_1_4_4) = all_86_5_84
% 78.75/39.01 | (350) unequally_directed_lines(all_1_10_10, all_86_3_82) = all_86_2_81
% 78.75/39.01 | (351) reverse_line(all_1_9_9) = all_86_3_82
% 78.75/39.01 | (352) ~ (all_86_4_83 = 0) | ~ (all_86_5_84 = 0) | all_86_2_81 = 0 | (all_86_0_79 = 0 & all_86_1_80 = 0)
% 78.75/39.01 |
% 78.75/39.01 | Instantiating (311) with all_88_0_85, all_88_1_86, all_88_2_87, all_88_3_88, all_88_4_89, all_88_5_90 yields:
% 78.75/39.01 | (353) reverse_line(all_1_9_9) = all_88_3_88 & unequally_directed_lines(all_1_2_2, all_88_3_88) = all_88_0_85 & unequally_directed_lines(all_1_2_2, all_1_9_9) = all_88_1_86 & unequally_directed_lines(all_1_10_10, all_88_3_88) = all_88_2_87 & unequally_directed_lines(all_1_10_10, all_21_3_35) = all_88_4_89 & unequally_directed_lines(all_1_10_10, all_1_2_2) = all_88_5_90 & ( ~ (all_88_4_89 = 0) | ~ (all_88_5_90 = 0) | all_88_2_87 = 0 | (all_88_0_85 = 0 & all_88_1_86 = 0))
% 78.75/39.01 |
% 78.75/39.01 | Applying alpha-rule on (353) yields:
% 78.75/39.01 | (354) reverse_line(all_1_9_9) = all_88_3_88
% 78.75/39.01 | (355) unequally_directed_lines(all_1_10_10, all_1_2_2) = all_88_5_90
% 78.75/39.01 | (356) unequally_directed_lines(all_1_2_2, all_88_3_88) = all_88_0_85
% 78.75/39.01 | (357) unequally_directed_lines(all_1_10_10, all_21_3_35) = all_88_4_89
% 78.75/39.02 | (358) ~ (all_88_4_89 = 0) | ~ (all_88_5_90 = 0) | all_88_2_87 = 0 | (all_88_0_85 = 0 & all_88_1_86 = 0)
% 78.75/39.02 | (359) unequally_directed_lines(all_1_10_10, all_88_3_88) = all_88_2_87
% 78.75/39.02 | (360) unequally_directed_lines(all_1_2_2, all_1_9_9) = all_88_1_86
% 78.75/39.02 |
% 78.75/39.02 | Instantiating (309) with all_92_0_92, all_92_1_93, all_92_2_94, all_92_3_95, all_92_4_96 yields:
% 78.75/39.02 | (361) intersection_point(all_1_10_10, all_1_8_8) = all_92_2_94 & apart_point_and_line(all_92_2_94, all_1_8_8) = all_92_0_92 & apart_point_and_line(all_92_2_94, all_1_10_10) = all_92_1_93 & reverse_line(all_1_8_8) = all_92_4_96 & unequally_directed_lines(all_1_10_10, all_92_4_96) = all_92_3_95 & ( ~ (all_92_3_95 = 0) | ( ~ (all_92_0_92 = 0) & ~ (all_92_1_93 = 0)))
% 78.75/39.02 |
% 78.75/39.02 | Applying alpha-rule on (361) yields:
% 78.75/39.02 | (362) intersection_point(all_1_10_10, all_1_8_8) = all_92_2_94
% 78.75/39.02 | (363) apart_point_and_line(all_92_2_94, all_1_8_8) = all_92_0_92
% 78.75/39.02 | (364) reverse_line(all_1_8_8) = all_92_4_96
% 78.75/39.02 | (365) apart_point_and_line(all_92_2_94, all_1_10_10) = all_92_1_93
% 78.75/39.02 | (366) unequally_directed_lines(all_1_10_10, all_92_4_96) = all_92_3_95
% 78.75/39.02 | (367) ~ (all_92_3_95 = 0) | ( ~ (all_92_0_92 = 0) & ~ (all_92_1_93 = 0))
% 78.75/39.02 |
% 78.75/39.02 | Instantiating (308) with all_94_0_97, all_94_1_98, all_94_2_99, all_94_3_100, all_94_4_101, all_94_5_102 yields:
% 78.75/39.02 | (368) intersection_point(all_1_10_10, all_1_8_8) = all_94_1_98 & point(all_94_1_98) = all_94_0_97 & line(all_1_8_8) = all_94_4_101 & line(all_1_10_10) = all_94_5_102 & reverse_line(all_1_8_8) = all_94_3_100 & unequally_directed_lines(all_1_10_10, all_94_3_100) = all_94_2_99 & ( ~ (all_94_2_99 = 0) | ~ (all_94_4_101 = 0) | ~ (all_94_5_102 = 0) | all_94_0_97 = 0)
% 78.75/39.02 |
% 78.75/39.02 | Applying alpha-rule on (368) yields:
% 78.75/39.02 | (369) intersection_point(all_1_10_10, all_1_8_8) = all_94_1_98
% 78.75/39.02 | (370) point(all_94_1_98) = all_94_0_97
% 78.75/39.02 | (371) ~ (all_94_2_99 = 0) | ~ (all_94_4_101 = 0) | ~ (all_94_5_102 = 0) | all_94_0_97 = 0
% 78.75/39.02 | (372) reverse_line(all_1_8_8) = all_94_3_100
% 78.75/39.02 | (373) line(all_1_8_8) = all_94_4_101
% 78.75/39.02 | (374) line(all_1_10_10) = all_94_5_102
% 78.75/39.02 | (375) unequally_directed_lines(all_1_10_10, all_94_3_100) = all_94_2_99
% 78.75/39.02 |
% 78.75/39.02 | Instantiating (310) with all_96_0_103, all_96_1_104, all_96_2_105, all_96_3_106 yields:
% 78.75/39.02 | (376) left_convergent_lines(all_1_10_10, all_96_3_106) = all_96_0_103 & left_convergent_lines(all_1_10_10, all_1_8_8) = all_96_1_104 & reverse_line(all_1_8_8) = all_96_3_106 & unequally_directed_lines(all_1_10_10, all_96_3_106) = all_96_2_105 & ( ~ (all_96_2_105 = 0) | all_96_0_103 = 0 | all_96_1_104 = 0)
% 78.75/39.02 |
% 78.75/39.02 | Applying alpha-rule on (376) yields:
% 78.75/39.02 | (377) reverse_line(all_1_8_8) = all_96_3_106
% 78.75/39.02 | (378) left_convergent_lines(all_1_10_10, all_96_3_106) = all_96_0_103
% 78.75/39.02 | (379) ~ (all_96_2_105 = 0) | all_96_0_103 = 0 | all_96_1_104 = 0
% 78.75/39.02 | (380) unequally_directed_lines(all_1_10_10, all_96_3_106) = all_96_2_105
% 78.75/39.02 | (381) left_convergent_lines(all_1_10_10, all_1_8_8) = all_96_1_104
% 78.75/39.02 |
% 78.75/39.02 | Instantiating (317) with all_98_0_107, all_98_1_108, all_98_2_109, all_98_3_110, all_98_4_111, all_98_5_112 yields:
% 78.75/39.02 | (382) reverse_line(all_1_9_9) = all_98_5_112 & unequally_directed_lines(all_1_9_9, all_19_3_30) = all_98_0_107 & unequally_directed_lines(all_1_9_9, all_1_4_4) = all_98_1_108 & unequally_directed_lines(all_1_10_10, all_98_5_112) = all_98_4_111 & unequally_directed_lines(all_1_10_10, all_19_3_30) = all_98_2_109 & unequally_directed_lines(all_1_10_10, all_1_4_4) = all_98_3_110 & ( ~ (all_98_4_111 = 0) | (all_98_0_107 = 0 & all_98_1_108 = 0) | (all_98_2_109 = 0 & all_98_3_110 = 0))
% 78.75/39.02 |
% 78.75/39.02 | Applying alpha-rule on (382) yields:
% 78.75/39.02 | (383) unequally_directed_lines(all_1_9_9, all_1_4_4) = all_98_1_108
% 78.75/39.02 | (384) ~ (all_98_4_111 = 0) | (all_98_0_107 = 0 & all_98_1_108 = 0) | (all_98_2_109 = 0 & all_98_3_110 = 0)
% 78.75/39.02 | (385) unequally_directed_lines(all_1_10_10, all_98_5_112) = all_98_4_111
% 78.75/39.02 | (386) unequally_directed_lines(all_1_10_10, all_1_4_4) = all_98_3_110
% 78.75/39.02 | (387) reverse_line(all_1_9_9) = all_98_5_112
% 78.75/39.02 | (388) unequally_directed_lines(all_1_10_10, all_19_3_30) = all_98_2_109
% 78.75/39.02 | (389) unequally_directed_lines(all_1_9_9, all_19_3_30) = all_98_0_107
% 78.75/39.02 |
% 78.75/39.02 | Instantiating (316) with all_100_0_113, all_100_1_114, all_100_2_115, all_100_3_116, all_100_4_117, all_100_5_118 yields:
% 78.75/39.02 | (390) reverse_line(all_1_9_9) = all_100_5_118 & unequally_directed_lines(all_1_9_9, all_21_3_35) = all_100_0_113 & unequally_directed_lines(all_1_9_9, all_1_2_2) = all_100_1_114 & unequally_directed_lines(all_1_10_10, all_100_5_118) = all_100_4_117 & unequally_directed_lines(all_1_10_10, all_21_3_35) = all_100_2_115 & unequally_directed_lines(all_1_10_10, all_1_2_2) = all_100_3_116 & ( ~ (all_100_4_117 = 0) | (all_100_0_113 = 0 & all_100_1_114 = 0) | (all_100_2_115 = 0 & all_100_3_116 = 0))
% 78.75/39.02 |
% 78.75/39.02 | Applying alpha-rule on (390) yields:
% 78.75/39.02 | (391) reverse_line(all_1_9_9) = all_100_5_118
% 78.75/39.02 | (392) ~ (all_100_4_117 = 0) | (all_100_0_113 = 0 & all_100_1_114 = 0) | (all_100_2_115 = 0 & all_100_3_116 = 0)
% 78.75/39.02 | (393) unequally_directed_lines(all_1_10_10, all_21_3_35) = all_100_2_115
% 78.75/39.02 | (394) unequally_directed_lines(all_1_10_10, all_1_2_2) = all_100_3_116
% 78.75/39.02 | (395) unequally_directed_lines(all_1_9_9, all_21_3_35) = all_100_0_113
% 78.75/39.02 | (396) unequally_directed_lines(all_1_10_10, all_100_5_118) = all_100_4_117
% 78.75/39.02 | (397) unequally_directed_lines(all_1_9_9, all_1_2_2) = all_100_1_114
% 78.75/39.02 |
% 78.75/39.02 | Instantiating (315) with all_102_0_119, all_102_1_120, all_102_2_121, all_102_3_122, all_102_4_123, all_102_5_124 yields:
% 78.75/39.02 | (398) reverse_line(all_1_9_9) = all_102_3_122 & reverse_line(all_1_9_9) = all_102_5_124 & unequally_directed_lines(all_1_9_9, all_102_3_122) = all_102_0_119 & unequally_directed_lines(all_1_9_9, all_1_9_9) = all_102_1_120 & unequally_directed_lines(all_1_10_10, all_102_3_122) = all_102_2_121 & unequally_directed_lines(all_1_10_10, all_102_5_124) = all_102_4_123 & ( ~ (all_102_4_123 = 0) | all_102_2_121 = 0 | (all_102_0_119 = 0 & all_102_1_120 = 0))
% 78.75/39.02 |
% 78.75/39.02 | Applying alpha-rule on (398) yields:
% 78.75/39.02 | (399) unequally_directed_lines(all_1_10_10, all_102_5_124) = all_102_4_123
% 78.75/39.02 | (400) ~ (all_102_4_123 = 0) | all_102_2_121 = 0 | (all_102_0_119 = 0 & all_102_1_120 = 0)
% 78.75/39.02 | (401) reverse_line(all_1_9_9) = all_102_5_124
% 78.75/39.02 | (402) unequally_directed_lines(all_1_10_10, all_102_3_122) = all_102_2_121
% 78.75/39.02 | (403) unequally_directed_lines(all_1_9_9, all_102_3_122) = all_102_0_119
% 78.75/39.02 | (404) unequally_directed_lines(all_1_9_9, all_1_9_9) = all_102_1_120
% 78.75/39.02 | (405) reverse_line(all_1_9_9) = all_102_3_122
% 78.75/39.02 |
% 78.75/39.02 | Instantiating (306) with all_104_0_125, all_104_1_126, all_104_2_127, all_104_3_128, all_104_4_129, all_104_5_130 yields:
% 78.75/39.02 | (406) reverse_line(all_1_2_2) = all_104_2_127 & reverse_line(all_1_9_9) = all_104_5_130 & unequally_directed_lines(all_1_9_9, all_104_2_127) = all_104_0_125 & unequally_directed_lines(all_1_10_10, all_104_2_127) = all_104_1_126 & unequally_directed_lines(all_1_10_10, all_104_5_130) = all_104_4_129 & unequally_directed_lines(all_1_10_10, all_1_2_2) = all_104_3_128 & ( ~ (all_104_4_129 = 0) | (all_104_0_125 = 0 & all_21_4_36 = 0) | (all_104_1_126 = 0 & all_104_3_128 = 0))
% 78.75/39.02 |
% 78.75/39.02 | Applying alpha-rule on (406) yields:
% 78.75/39.02 | (407) ~ (all_104_4_129 = 0) | (all_104_0_125 = 0 & all_21_4_36 = 0) | (all_104_1_126 = 0 & all_104_3_128 = 0)
% 78.75/39.02 | (408) reverse_line(all_1_9_9) = all_104_5_130
% 78.75/39.02 | (409) unequally_directed_lines(all_1_10_10, all_104_5_130) = all_104_4_129
% 78.75/39.02 | (410) reverse_line(all_1_2_2) = all_104_2_127
% 78.75/39.02 | (411) unequally_directed_lines(all_1_10_10, all_1_2_2) = all_104_3_128
% 78.75/39.02 | (412) unequally_directed_lines(all_1_10_10, all_104_2_127) = all_104_1_126
% 78.75/39.02 | (413) unequally_directed_lines(all_1_9_9, all_104_2_127) = all_104_0_125
% 78.75/39.02 |
% 78.75/39.02 | Instantiating (304) with all_106_0_131, all_106_1_132, all_106_2_133, all_106_3_134, all_106_4_135, all_106_5_136 yields:
% 78.75/39.02 | (414) reverse_line(all_21_3_35) = all_106_2_133 & reverse_line(all_1_9_9) = all_106_5_136 & unequally_directed_lines(all_1_9_9, all_106_2_133) = all_106_0_131 & unequally_directed_lines(all_1_10_10, all_106_2_133) = all_106_1_132 & unequally_directed_lines(all_1_10_10, all_106_5_136) = all_106_4_135 & unequally_directed_lines(all_1_10_10, all_21_3_35) = all_106_3_134 & ( ~ (all_106_4_135 = 0) | (all_106_0_131 = 0 & all_21_2_34 = 0) | (all_106_1_132 = 0 & all_106_3_134 = 0))
% 78.75/39.03 |
% 78.75/39.03 | Applying alpha-rule on (414) yields:
% 78.75/39.03 | (415) ~ (all_106_4_135 = 0) | (all_106_0_131 = 0 & all_21_2_34 = 0) | (all_106_1_132 = 0 & all_106_3_134 = 0)
% 78.75/39.03 | (416) unequally_directed_lines(all_1_10_10, all_21_3_35) = all_106_3_134
% 78.75/39.03 | (417) reverse_line(all_1_9_9) = all_106_5_136
% 78.75/39.03 | (418) unequally_directed_lines(all_1_9_9, all_106_2_133) = all_106_0_131
% 78.75/39.03 | (419) unequally_directed_lines(all_1_10_10, all_106_5_136) = all_106_4_135
% 78.75/39.03 | (420) reverse_line(all_21_3_35) = all_106_2_133
% 78.75/39.03 | (421) unequally_directed_lines(all_1_10_10, all_106_2_133) = all_106_1_132
% 78.75/39.03 |
% 78.75/39.03 | Instantiating (305) with all_108_0_137, all_108_1_138, all_108_2_139, all_108_3_140, all_108_4_141, all_108_5_142 yields:
% 78.75/39.03 | (422) reverse_line(all_19_3_30) = all_108_2_139 & reverse_line(all_1_9_9) = all_108_5_142 & unequally_directed_lines(all_1_9_9, all_108_2_139) = all_108_0_137 & unequally_directed_lines(all_1_10_10, all_108_2_139) = all_108_1_138 & unequally_directed_lines(all_1_10_10, all_108_5_142) = all_108_4_141 & unequally_directed_lines(all_1_10_10, all_19_3_30) = all_108_3_140 & ( ~ (all_108_4_141 = 0) | (all_108_0_137 = 0 & all_19_2_29 = 0) | (all_108_1_138 = 0 & all_108_3_140 = 0))
% 78.75/39.03 |
% 78.75/39.03 | Applying alpha-rule on (422) yields:
% 78.75/39.03 | (423) reverse_line(all_19_3_30) = all_108_2_139
% 78.75/39.03 | (424) unequally_directed_lines(all_1_10_10, all_19_3_30) = all_108_3_140
% 78.75/39.03 | (425) unequally_directed_lines(all_1_10_10, all_108_2_139) = all_108_1_138
% 78.75/39.03 | (426) unequally_directed_lines(all_1_10_10, all_108_5_142) = all_108_4_141
% 78.75/39.03 | (427) reverse_line(all_1_9_9) = all_108_5_142
% 78.75/39.03 | (428) ~ (all_108_4_141 = 0) | (all_108_0_137 = 0 & all_19_2_29 = 0) | (all_108_1_138 = 0 & all_108_3_140 = 0)
% 78.75/39.03 | (429) unequally_directed_lines(all_1_9_9, all_108_2_139) = all_108_0_137
% 78.75/39.03 |
% 78.75/39.03 | Instantiating (302) with all_110_0_143, all_110_1_144, all_110_2_145, all_110_3_146, all_110_4_147, all_110_5_148 yields:
% 78.75/39.03 | (430) reverse_line(all_1_8_8) = all_110_5_148 & unequally_directed_lines(all_1_8_8, all_21_3_35) = all_110_0_143 & unequally_directed_lines(all_1_8_8, all_1_2_2) = all_110_1_144 & unequally_directed_lines(all_1_10_10, all_110_5_148) = all_110_4_147 & unequally_directed_lines(all_1_10_10, all_21_3_35) = all_110_2_145 & unequally_directed_lines(all_1_10_10, all_1_2_2) = all_110_3_146 & ( ~ (all_110_4_147 = 0) | (all_110_0_143 = 0 & all_110_1_144 = 0) | (all_110_2_145 = 0 & all_110_3_146 = 0))
% 78.75/39.03 |
% 78.75/39.03 | Applying alpha-rule on (430) yields:
% 78.75/39.03 | (431) unequally_directed_lines(all_1_10_10, all_110_5_148) = all_110_4_147
% 78.75/39.03 | (432) unequally_directed_lines(all_1_10_10, all_1_2_2) = all_110_3_146
% 78.75/39.03 | (433) reverse_line(all_1_8_8) = all_110_5_148
% 78.75/39.03 | (434) unequally_directed_lines(all_1_10_10, all_21_3_35) = all_110_2_145
% 78.75/39.03 | (435) unequally_directed_lines(all_1_8_8, all_21_3_35) = all_110_0_143
% 78.75/39.03 | (436) unequally_directed_lines(all_1_8_8, all_1_2_2) = all_110_1_144
% 78.75/39.03 | (437) ~ (all_110_4_147 = 0) | (all_110_0_143 = 0 & all_110_1_144 = 0) | (all_110_2_145 = 0 & all_110_3_146 = 0)
% 78.75/39.03 |
% 78.75/39.03 | Instantiating (301) with all_112_0_149, all_112_1_150, all_112_2_151, all_112_3_152, all_112_4_153, all_112_5_154 yields:
% 78.75/39.03 | (438) reverse_line(all_1_8_8) = all_112_2_151 & reverse_line(all_1_10_10) = all_112_4_153 & unequally_directed_lines(all_1_10_10, all_112_2_151) = all_112_0_149 & unequally_directed_lines(all_1_10_10, all_112_2_151) = all_112_1_150 & unequally_directed_lines(all_1_10_10, all_112_4_153) = all_112_3_152 & unequally_directed_lines(all_1_10_10, all_1_10_10) = all_112_5_154 & ( ~ (all_112_3_152 = 0) | ~ (all_112_5_154 = 0) | all_112_0_149 = 0 | all_112_1_150 = 0)
% 78.75/39.03 |
% 78.75/39.03 | Applying alpha-rule on (438) yields:
% 78.75/39.03 | (439) unequally_directed_lines(all_1_10_10, all_112_2_151) = all_112_1_150
% 78.75/39.03 | (440) unequally_directed_lines(all_1_10_10, all_1_10_10) = all_112_5_154
% 78.75/39.03 | (441) reverse_line(all_1_10_10) = all_112_4_153
% 78.75/39.03 | (442) unequally_directed_lines(all_1_10_10, all_112_4_153) = all_112_3_152
% 78.75/39.03 | (443) unequally_directed_lines(all_1_10_10, all_112_2_151) = all_112_0_149
% 78.75/39.03 | (444) reverse_line(all_1_8_8) = all_112_2_151
% 78.75/39.03 | (445) ~ (all_112_3_152 = 0) | ~ (all_112_5_154 = 0) | all_112_0_149 = 0 | all_112_1_150 = 0
% 78.75/39.03 |
% 78.75/39.03 | Instantiating (300) with all_114_0_155, all_114_1_156, all_114_2_157, all_114_3_158, all_114_4_159, all_114_5_160 yields:
% 78.75/39.03 | (446) reverse_line(all_1_8_8) = all_114_3_158 & reverse_line(all_1_8_8) = all_114_5_160 & unequally_directed_lines(all_1_8_8, all_114_3_158) = all_114_0_155 & unequally_directed_lines(all_1_8_8, all_1_8_8) = all_114_1_156 & unequally_directed_lines(all_1_10_10, all_114_3_158) = all_114_2_157 & unequally_directed_lines(all_1_10_10, all_114_5_160) = all_114_4_159 & ( ~ (all_114_4_159 = 0) | all_114_2_157 = 0 | (all_114_0_155 = 0 & all_114_1_156 = 0))
% 78.75/39.03 |
% 78.75/39.03 | Applying alpha-rule on (446) yields:
% 78.75/39.03 | (447) reverse_line(all_1_8_8) = all_114_5_160
% 78.75/39.03 | (448) unequally_directed_lines(all_1_8_8, all_114_3_158) = all_114_0_155
% 78.75/39.03 | (449) unequally_directed_lines(all_1_8_8, all_1_8_8) = all_114_1_156
% 78.75/39.03 | (450) unequally_directed_lines(all_1_10_10, all_114_5_160) = all_114_4_159
% 78.75/39.03 | (451) ~ (all_114_4_159 = 0) | all_114_2_157 = 0 | (all_114_0_155 = 0 & all_114_1_156 = 0)
% 78.75/39.03 | (452) reverse_line(all_1_8_8) = all_114_3_158
% 78.75/39.03 | (453) unequally_directed_lines(all_1_10_10, all_114_3_158) = all_114_2_157
% 78.75/39.03 |
% 78.75/39.03 | Instantiating (299) with all_116_0_161, all_116_1_162, all_116_2_163, all_116_3_164, all_116_4_165, all_116_5_166 yields:
% 78.75/39.03 | (454) reverse_line(all_1_8_8) = all_116_2_163 & reverse_line(all_1_9_9) = all_116_4_165 & unequally_directed_lines(all_1_9_9, all_116_2_163) = all_116_0_161 & unequally_directed_lines(all_1_10_10, all_116_2_163) = all_116_1_162 & unequally_directed_lines(all_1_10_10, all_116_4_165) = all_116_3_164 & unequally_directed_lines(all_1_10_10, all_1_9_9) = all_116_5_166 & ( ~ (all_116_3_164 = 0) | ~ (all_116_5_166 = 0) | all_116_0_161 = 0 | all_116_1_162 = 0)
% 78.75/39.03 |
% 78.75/39.03 | Applying alpha-rule on (454) yields:
% 78.75/39.03 | (455) reverse_line(all_1_8_8) = all_116_2_163
% 78.75/39.03 | (456) unequally_directed_lines(all_1_10_10, all_116_2_163) = all_116_1_162
% 78.75/39.03 | (457) reverse_line(all_1_9_9) = all_116_4_165
% 78.75/39.03 | (458) unequally_directed_lines(all_1_10_10, all_116_4_165) = all_116_3_164
% 78.75/39.03 | (459) unequally_directed_lines(all_1_9_9, all_116_2_163) = all_116_0_161
% 78.75/39.03 | (460) ~ (all_116_3_164 = 0) | ~ (all_116_5_166 = 0) | all_116_0_161 = 0 | all_116_1_162 = 0
% 78.75/39.03 | (461) unequally_directed_lines(all_1_10_10, all_1_9_9) = all_116_5_166
% 78.75/39.03 |
% 78.75/39.03 | Instantiating (298) with all_118_0_167, all_118_1_168, all_118_2_169, all_118_3_170, all_118_4_171, all_118_5_172 yields:
% 78.75/39.03 | (462) reverse_line(all_1_8_8) = all_118_2_169 & reverse_line(all_1_10_10) = all_118_4_171 & unequally_directed_lines(all_1_9_9, all_118_2_169) = all_118_1_168 & unequally_directed_lines(all_1_9_9, all_118_4_171) = all_118_3_170 & unequally_directed_lines(all_1_9_9, all_1_10_10) = all_118_5_172 & unequally_directed_lines(all_1_10_10, all_118_2_169) = all_118_0_167 & ( ~ (all_118_3_170 = 0) | ~ (all_118_5_172 = 0) | all_118_0_167 = 0 | all_118_1_168 = 0)
% 78.75/39.03 |
% 78.75/39.03 | Applying alpha-rule on (462) yields:
% 78.75/39.03 | (463) reverse_line(all_1_8_8) = all_118_2_169
% 78.75/39.03 | (464) unequally_directed_lines(all_1_10_10, all_118_2_169) = all_118_0_167
% 78.75/39.03 | (465) unequally_directed_lines(all_1_9_9, all_118_4_171) = all_118_3_170
% 78.75/39.03 | (466) unequally_directed_lines(all_1_9_9, all_1_10_10) = all_118_5_172
% 78.75/39.03 | (467) ~ (all_118_3_170 = 0) | ~ (all_118_5_172 = 0) | all_118_0_167 = 0 | all_118_1_168 = 0
% 78.75/39.03 | (468) unequally_directed_lines(all_1_9_9, all_118_2_169) = all_118_1_168
% 78.75/39.03 | (469) reverse_line(all_1_10_10) = all_118_4_171
% 78.75/39.03 |
% 78.75/39.04 | Instantiating (296) with all_120_0_173, all_120_1_174, all_120_2_175, all_120_3_176, all_120_4_177, all_120_5_178 yields:
% 78.75/39.04 | (470) reverse_line(all_1_8_8) = all_120_3_176 & unequally_directed_lines(all_1_2_2, all_120_3_176) = all_120_0_173 & unequally_directed_lines(all_1_2_2, all_1_8_8) = all_120_1_174 & unequally_directed_lines(all_1_10_10, all_120_3_176) = all_120_2_175 & unequally_directed_lines(all_1_10_10, all_21_3_35) = all_120_4_177 & unequally_directed_lines(all_1_10_10, all_1_2_2) = all_120_5_178 & ( ~ (all_120_4_177 = 0) | ~ (all_120_5_178 = 0) | all_120_2_175 = 0 | (all_120_0_173 = 0 & all_120_1_174 = 0))
% 78.75/39.04 |
% 78.75/39.04 | Applying alpha-rule on (470) yields:
% 78.75/39.04 | (471) unequally_directed_lines(all_1_10_10, all_21_3_35) = all_120_4_177
% 78.75/39.04 | (472) unequally_directed_lines(all_1_10_10, all_120_3_176) = all_120_2_175
% 78.75/39.04 | (473) ~ (all_120_4_177 = 0) | ~ (all_120_5_178 = 0) | all_120_2_175 = 0 | (all_120_0_173 = 0 & all_120_1_174 = 0)
% 78.75/39.04 | (474) unequally_directed_lines(all_1_10_10, all_1_2_2) = all_120_5_178
% 78.75/39.04 | (475) reverse_line(all_1_8_8) = all_120_3_176
% 78.75/39.04 | (476) unequally_directed_lines(all_1_2_2, all_1_8_8) = all_120_1_174
% 78.75/39.04 | (477) unequally_directed_lines(all_1_2_2, all_120_3_176) = all_120_0_173
% 78.75/39.04 |
% 78.75/39.04 | Instantiating (295) with all_124_0_180, all_124_1_181, all_124_2_182, all_124_3_183 yields:
% 78.75/39.04 | (478) left_convergent_lines(all_1_9_9, all_124_3_183) = all_124_0_180 & left_convergent_lines(all_1_9_9, all_1_8_8) = all_124_1_181 & reverse_line(all_1_8_8) = all_124_3_183 & unequally_directed_lines(all_1_9_9, all_124_3_183) = all_124_2_182 & ( ~ (all_124_2_182 = 0) | all_124_0_180 = 0 | all_124_1_181 = 0)
% 78.75/39.04 |
% 78.75/39.04 | Applying alpha-rule on (478) yields:
% 78.75/39.04 | (479) reverse_line(all_1_8_8) = all_124_3_183
% 78.75/39.04 | (480) ~ (all_124_2_182 = 0) | all_124_0_180 = 0 | all_124_1_181 = 0
% 78.75/39.04 | (481) unequally_directed_lines(all_1_9_9, all_124_3_183) = all_124_2_182
% 78.75/39.04 | (482) left_convergent_lines(all_1_9_9, all_124_3_183) = all_124_0_180
% 78.75/39.04 | (483) left_convergent_lines(all_1_9_9, all_1_8_8) = all_124_1_181
% 78.75/39.04 |
% 78.75/39.04 | Instantiating (294) with all_126_0_184, all_126_1_185, all_126_2_186, all_126_3_187, all_126_4_188 yields:
% 78.75/39.04 | (484) intersection_point(all_1_9_9, all_1_8_8) = all_126_2_186 & apart_point_and_line(all_126_2_186, all_1_8_8) = all_126_0_184 & apart_point_and_line(all_126_2_186, all_1_9_9) = all_126_1_185 & reverse_line(all_1_8_8) = all_126_4_188 & unequally_directed_lines(all_1_9_9, all_126_4_188) = all_126_3_187 & ( ~ (all_126_3_187 = 0) | ( ~ (all_126_0_184 = 0) & ~ (all_126_1_185 = 0)))
% 78.75/39.04 |
% 78.75/39.04 | Applying alpha-rule on (484) yields:
% 78.75/39.04 | (485) intersection_point(all_1_9_9, all_1_8_8) = all_126_2_186
% 78.75/39.04 | (486) unequally_directed_lines(all_1_9_9, all_126_4_188) = all_126_3_187
% 78.75/39.04 | (487) reverse_line(all_1_8_8) = all_126_4_188
% 78.75/39.04 | (488) apart_point_and_line(all_126_2_186, all_1_8_8) = all_126_0_184
% 78.75/39.04 | (489) apart_point_and_line(all_126_2_186, all_1_9_9) = all_126_1_185
% 78.75/39.04 | (490) ~ (all_126_3_187 = 0) | ( ~ (all_126_0_184 = 0) & ~ (all_126_1_185 = 0))
% 78.75/39.04 |
% 78.75/39.04 | Instantiating (291) with all_128_0_189, all_128_1_190, all_128_2_191, all_128_3_192, all_128_4_193, all_128_5_194 yields:
% 78.75/39.04 | (491) reverse_line(all_1_2_2) = all_128_3_192 & reverse_line(all_1_8_8) = all_128_5_194 & unequally_directed_lines(all_1_8_8, all_128_3_192) = all_128_0_189 & unequally_directed_lines(all_1_8_8, all_1_2_2) = all_128_1_190 & unequally_directed_lines(all_1_9_9, all_128_3_192) = all_128_2_191 & unequally_directed_lines(all_1_9_9, all_128_5_194) = all_128_4_193 & ( ~ (all_128_4_193 = 0) | (all_128_0_189 = 0 & all_128_1_190 = 0) | (all_128_2_191 = 0 & all_21_4_36 = 0))
% 78.75/39.04 |
% 78.75/39.04 | Applying alpha-rule on (491) yields:
% 78.75/39.04 | (492) reverse_line(all_1_8_8) = all_128_5_194
% 78.75/39.04 | (493) unequally_directed_lines(all_1_9_9, all_128_5_194) = all_128_4_193
% 78.75/39.04 | (494) ~ (all_128_4_193 = 0) | (all_128_0_189 = 0 & all_128_1_190 = 0) | (all_128_2_191 = 0 & all_21_4_36 = 0)
% 78.75/39.04 | (495) reverse_line(all_1_2_2) = all_128_3_192
% 78.75/39.04 | (496) unequally_directed_lines(all_1_8_8, all_128_3_192) = all_128_0_189
% 78.75/39.04 | (497) unequally_directed_lines(all_1_9_9, all_128_3_192) = all_128_2_191
% 78.75/39.04 | (498) unequally_directed_lines(all_1_8_8, all_1_2_2) = all_128_1_190
% 78.75/39.04 |
% 78.75/39.04 | Instantiating (314) with all_130_0_195, all_130_1_196, all_130_2_197, all_130_3_198, all_130_4_199, all_130_5_200 yields:
% 78.75/39.04 | (499) reverse_line(all_1_8_8) = all_130_5_200 & reverse_line(all_1_9_9) = all_130_3_198 & unequally_directed_lines(all_1_8_8, all_130_3_198) = all_130_0_195 & unequally_directed_lines(all_1_8_8, all_1_9_9) = all_130_1_196 & unequally_directed_lines(all_1_10_10, all_130_3_198) = all_130_2_197 & unequally_directed_lines(all_1_10_10, all_130_5_200) = all_130_4_199 & ( ~ (all_130_4_199 = 0) | all_130_2_197 = 0 | (all_130_0_195 = 0 & all_130_1_196 = 0))
% 78.75/39.04 |
% 78.75/39.04 | Applying alpha-rule on (499) yields:
% 78.75/39.04 | (500) unequally_directed_lines(all_1_10_10, all_130_5_200) = all_130_4_199
% 78.75/39.04 | (501) ~ (all_130_4_199 = 0) | all_130_2_197 = 0 | (all_130_0_195 = 0 & all_130_1_196 = 0)
% 78.75/39.04 | (502) unequally_directed_lines(all_1_8_8, all_130_3_198) = all_130_0_195
% 78.75/39.04 | (503) unequally_directed_lines(all_1_10_10, all_130_3_198) = all_130_2_197
% 78.75/39.04 | (504) unequally_directed_lines(all_1_8_8, all_1_9_9) = all_130_1_196
% 78.75/39.04 | (505) reverse_line(all_1_8_8) = all_130_5_200
% 78.75/39.04 | (506) reverse_line(all_1_9_9) = all_130_3_198
% 78.75/39.04 |
% 78.75/39.04 | Instantiating (313) with all_132_0_201, all_132_1_202, all_132_2_203, all_132_3_204, all_132_4_205, all_132_5_206 yields:
% 78.75/39.04 | (507) reverse_line(all_1_9_9) = all_132_2_203 & reverse_line(all_1_10_10) = all_132_4_205 & unequally_directed_lines(all_1_10_10, all_132_2_203) = all_132_0_201 & unequally_directed_lines(all_1_10_10, all_132_2_203) = all_132_1_202 & unequally_directed_lines(all_1_10_10, all_132_4_205) = all_132_3_204 & unequally_directed_lines(all_1_10_10, all_1_10_10) = all_132_5_206 & ( ~ (all_132_3_204 = 0) | ~ (all_132_5_206 = 0) | all_132_0_201 = 0 | all_132_1_202 = 0)
% 78.75/39.04 |
% 78.75/39.04 | Applying alpha-rule on (507) yields:
% 78.75/39.04 | (508) unequally_directed_lines(all_1_10_10, all_132_2_203) = all_132_1_202
% 78.75/39.04 | (509) unequally_directed_lines(all_1_10_10, all_1_10_10) = all_132_5_206
% 78.75/39.04 | (510) ~ (all_132_3_204 = 0) | ~ (all_132_5_206 = 0) | all_132_0_201 = 0 | all_132_1_202 = 0
% 78.75/39.04 | (511) reverse_line(all_1_9_9) = all_132_2_203
% 78.75/39.04 | (512) reverse_line(all_1_10_10) = all_132_4_205
% 78.75/39.04 | (513) unequally_directed_lines(all_1_10_10, all_132_4_205) = all_132_3_204
% 78.75/39.04 | (514) unequally_directed_lines(all_1_10_10, all_132_2_203) = all_132_0_201
% 78.75/39.04 |
% 78.75/39.04 | Instantiating (303) with all_134_0_207, all_134_1_208, all_134_2_209, all_134_3_210, all_134_4_211, all_134_5_212 yields:
% 78.75/39.04 | (515) reverse_line(all_1_8_8) = all_134_5_212 & unequally_directed_lines(all_1_8_8, all_19_3_30) = all_134_0_207 & unequally_directed_lines(all_1_8_8, all_1_4_4) = all_134_1_208 & unequally_directed_lines(all_1_10_10, all_134_5_212) = all_134_4_211 & unequally_directed_lines(all_1_10_10, all_19_3_30) = all_134_2_209 & unequally_directed_lines(all_1_10_10, all_1_4_4) = all_134_3_210 & ( ~ (all_134_4_211 = 0) | (all_134_0_207 = 0 & all_134_1_208 = 0) | (all_134_2_209 = 0 & all_134_3_210 = 0))
% 78.75/39.04 |
% 78.75/39.04 | Applying alpha-rule on (515) yields:
% 78.75/39.04 | (516) unequally_directed_lines(all_1_10_10, all_19_3_30) = all_134_2_209
% 78.75/39.04 | (517) unequally_directed_lines(all_1_8_8, all_19_3_30) = all_134_0_207
% 78.75/39.04 | (518) reverse_line(all_1_8_8) = all_134_5_212
% 78.75/39.04 | (519) unequally_directed_lines(all_1_10_10, all_134_5_212) = all_134_4_211
% 78.75/39.04 | (520) unequally_directed_lines(all_1_10_10, all_1_4_4) = all_134_3_210
% 78.75/39.04 | (521) unequally_directed_lines(all_1_8_8, all_1_4_4) = all_134_1_208
% 78.75/39.05 | (522) ~ (all_134_4_211 = 0) | (all_134_0_207 = 0 & all_134_1_208 = 0) | (all_134_2_209 = 0 & all_134_3_210 = 0)
% 78.75/39.05 |
% 78.75/39.05 | Instantiating (307) with all_136_0_213, all_136_1_214, all_136_2_215, all_136_3_216, all_136_4_217, all_136_5_218 yields:
% 78.75/39.05 | (523) reverse_line(all_1_4_4) = all_136_2_215 & reverse_line(all_1_9_9) = all_136_5_218 & unequally_directed_lines(all_1_9_9, all_136_2_215) = all_136_0_213 & unequally_directed_lines(all_1_10_10, all_136_2_215) = all_136_1_214 & unequally_directed_lines(all_1_10_10, all_136_5_218) = all_136_4_217 & unequally_directed_lines(all_1_10_10, all_1_4_4) = all_136_3_216 & ( ~ (all_136_4_217 = 0) | (all_136_0_213 = 0 & all_19_4_31 = 0) | (all_136_1_214 = 0 & all_136_3_216 = 0))
% 78.75/39.05 |
% 78.75/39.05 | Applying alpha-rule on (523) yields:
% 78.75/39.05 | (524) reverse_line(all_1_4_4) = all_136_2_215
% 78.75/39.05 | (525) unequally_directed_lines(all_1_10_10, all_1_4_4) = all_136_3_216
% 78.75/39.05 | (526) reverse_line(all_1_9_9) = all_136_5_218
% 78.75/39.05 | (527) unequally_directed_lines(all_1_9_9, all_136_2_215) = all_136_0_213
% 78.75/39.05 | (528) ~ (all_136_4_217 = 0) | (all_136_0_213 = 0 & all_19_4_31 = 0) | (all_136_1_214 = 0 & all_136_3_216 = 0)
% 78.75/39.05 | (529) unequally_directed_lines(all_1_10_10, all_136_5_218) = all_136_4_217
% 78.75/39.05 | (530) unequally_directed_lines(all_1_10_10, all_136_2_215) = all_136_1_214
% 78.75/39.05 |
% 78.75/39.05 | Instantiating (290) with all_138_0_219, all_138_1_220, all_138_2_221, all_138_3_222, all_138_4_223, all_138_5_224 yields:
% 78.75/39.05 | (531) reverse_line(all_19_3_30) = all_138_3_222 & reverse_line(all_1_8_8) = all_138_5_224 & unequally_directed_lines(all_1_8_8, all_138_3_222) = all_138_0_219 & unequally_directed_lines(all_1_8_8, all_19_3_30) = all_138_1_220 & unequally_directed_lines(all_1_9_9, all_138_3_222) = all_138_2_221 & unequally_directed_lines(all_1_9_9, all_138_5_224) = all_138_4_223 & ( ~ (all_138_4_223 = 0) | (all_138_0_219 = 0 & all_138_1_220 = 0) | (all_138_2_221 = 0 & all_19_2_29 = 0))
% 78.75/39.05 |
% 78.75/39.05 | Applying alpha-rule on (531) yields:
% 78.75/39.05 | (532) unequally_directed_lines(all_1_8_8, all_138_3_222) = all_138_0_219
% 78.75/39.05 | (533) unequally_directed_lines(all_1_9_9, all_138_3_222) = all_138_2_221
% 78.75/39.05 | (534) ~ (all_138_4_223 = 0) | (all_138_0_219 = 0 & all_138_1_220 = 0) | (all_138_2_221 = 0 & all_19_2_29 = 0)
% 78.75/39.05 | (535) unequally_directed_lines(all_1_9_9, all_138_5_224) = all_138_4_223
% 78.75/39.05 | (536) reverse_line(all_19_3_30) = all_138_3_222
% 78.75/39.05 | (537) reverse_line(all_1_8_8) = all_138_5_224
% 78.75/39.05 | (538) unequally_directed_lines(all_1_8_8, all_19_3_30) = all_138_1_220
% 78.75/39.05 |
% 78.75/39.05 | Instantiating (288) with all_140_0_225, all_140_1_226, all_140_2_227, all_140_3_228, all_140_4_229, all_140_5_230 yields:
% 78.75/39.05 | (539) reverse_line(all_1_8_8) = all_140_5_230 & unequally_directed_lines(all_1_8_8, all_19_3_30) = all_140_0_225 & unequally_directed_lines(all_1_8_8, all_1_4_4) = all_140_1_226 & unequally_directed_lines(all_1_9_9, all_140_5_230) = all_140_4_229 & unequally_directed_lines(all_1_9_9, all_19_3_30) = all_140_2_227 & unequally_directed_lines(all_1_9_9, all_1_4_4) = all_140_3_228 & ( ~ (all_140_4_229 = 0) | (all_140_0_225 = 0 & all_140_1_226 = 0) | (all_140_2_227 = 0 & all_140_3_228 = 0))
% 78.75/39.05 |
% 78.75/39.05 | Applying alpha-rule on (539) yields:
% 78.75/39.05 | (540) unequally_directed_lines(all_1_9_9, all_140_5_230) = all_140_4_229
% 78.75/39.05 | (541) reverse_line(all_1_8_8) = all_140_5_230
% 78.75/39.05 | (542) unequally_directed_lines(all_1_8_8, all_1_4_4) = all_140_1_226
% 78.75/39.05 | (543) unequally_directed_lines(all_1_9_9, all_1_4_4) = all_140_3_228
% 78.75/39.05 | (544) ~ (all_140_4_229 = 0) | (all_140_0_225 = 0 & all_140_1_226 = 0) | (all_140_2_227 = 0 & all_140_3_228 = 0)
% 78.75/39.05 | (545) unequally_directed_lines(all_1_8_8, all_19_3_30) = all_140_0_225
% 78.75/39.05 | (546) unequally_directed_lines(all_1_9_9, all_19_3_30) = all_140_2_227
% 78.75/39.05 |
% 78.75/39.05 | Instantiating (289) with all_142_0_231, all_142_1_232, all_142_2_233, all_142_3_234, all_142_4_235, all_142_5_236 yields:
% 78.75/39.05 | (547) reverse_line(all_21_3_35) = all_142_3_234 & reverse_line(all_1_8_8) = all_142_5_236 & unequally_directed_lines(all_1_8_8, all_142_3_234) = all_142_0_231 & unequally_directed_lines(all_1_8_8, all_21_3_35) = all_142_1_232 & unequally_directed_lines(all_1_9_9, all_142_3_234) = all_142_2_233 & unequally_directed_lines(all_1_9_9, all_142_5_236) = all_142_4_235 & ( ~ (all_142_4_235 = 0) | (all_142_0_231 = 0 & all_142_1_232 = 0) | (all_142_2_233 = 0 & all_21_2_34 = 0))
% 78.75/39.05 |
% 78.75/39.05 | Applying alpha-rule on (547) yields:
% 78.75/39.05 | (548) unequally_directed_lines(all_1_8_8, all_21_3_35) = all_142_1_232
% 78.75/39.05 | (549) unequally_directed_lines(all_1_9_9, all_142_5_236) = all_142_4_235
% 78.75/39.05 | (550) unequally_directed_lines(all_1_9_9, all_142_3_234) = all_142_2_233
% 78.75/39.05 | (551) reverse_line(all_1_8_8) = all_142_5_236
% 78.75/39.05 | (552) unequally_directed_lines(all_1_8_8, all_142_3_234) = all_142_0_231
% 78.75/39.05 | (553) ~ (all_142_4_235 = 0) | (all_142_0_231 = 0 & all_142_1_232 = 0) | (all_142_2_233 = 0 & all_21_2_34 = 0)
% 78.75/39.05 | (554) reverse_line(all_21_3_35) = all_142_3_234
% 78.75/39.05 |
% 78.75/39.05 | Instantiating (284) with all_144_0_237, all_144_1_238, all_144_2_239, all_144_3_240, all_144_4_241, all_144_5_242 yields:
% 78.75/39.05 | (555) reverse_line(all_1_8_8) = all_144_3_240 & unequally_directed_lines(all_1_4_4, all_144_3_240) = all_144_0_237 & unequally_directed_lines(all_1_4_4, all_1_8_8) = all_144_1_238 & unequally_directed_lines(all_1_9_9, all_144_3_240) = all_144_2_239 & unequally_directed_lines(all_1_9_9, all_19_3_30) = all_144_4_241 & unequally_directed_lines(all_1_9_9, all_1_4_4) = all_144_5_242 & ( ~ (all_144_4_241 = 0) | ~ (all_144_5_242 = 0) | all_144_2_239 = 0 | (all_144_0_237 = 0 & all_144_1_238 = 0))
% 78.75/39.05 |
% 78.75/39.05 | Applying alpha-rule on (555) yields:
% 78.75/39.05 | (556) reverse_line(all_1_8_8) = all_144_3_240
% 78.75/39.05 | (557) ~ (all_144_4_241 = 0) | ~ (all_144_5_242 = 0) | all_144_2_239 = 0 | (all_144_0_237 = 0 & all_144_1_238 = 0)
% 78.75/39.05 | (558) unequally_directed_lines(all_1_9_9, all_1_4_4) = all_144_5_242
% 78.75/39.05 | (559) unequally_directed_lines(all_1_9_9, all_19_3_30) = all_144_4_241
% 78.75/39.05 | (560) unequally_directed_lines(all_1_4_4, all_1_8_8) = all_144_1_238
% 78.75/39.05 | (561) unequally_directed_lines(all_1_4_4, all_144_3_240) = all_144_0_237
% 78.75/39.05 | (562) unequally_directed_lines(all_1_9_9, all_144_3_240) = all_144_2_239
% 78.75/39.05 |
% 78.75/39.05 | Instantiating (283) with all_146_0_243, all_146_1_244, all_146_2_245, all_146_3_246, all_146_4_247, all_146_5_248 yields:
% 78.75/39.05 | (563) reverse_line(all_1_8_8) = all_146_3_246 & unequally_directed_lines(all_1_2_2, all_146_3_246) = all_146_0_243 & unequally_directed_lines(all_1_2_2, all_1_8_8) = all_146_1_244 & unequally_directed_lines(all_1_9_9, all_146_3_246) = all_146_2_245 & unequally_directed_lines(all_1_9_9, all_21_3_35) = all_146_4_247 & unequally_directed_lines(all_1_9_9, all_1_2_2) = all_146_5_248 & ( ~ (all_146_4_247 = 0) | ~ (all_146_5_248 = 0) | all_146_2_245 = 0 | (all_146_0_243 = 0 & all_146_1_244 = 0))
% 78.75/39.05 |
% 78.75/39.05 | Applying alpha-rule on (563) yields:
% 78.75/39.05 | (564) unequally_directed_lines(all_1_2_2, all_1_8_8) = all_146_1_244
% 78.75/39.05 | (565) ~ (all_146_4_247 = 0) | ~ (all_146_5_248 = 0) | all_146_2_245 = 0 | (all_146_0_243 = 0 & all_146_1_244 = 0)
% 78.75/39.05 | (566) unequally_directed_lines(all_1_9_9, all_21_3_35) = all_146_4_247
% 78.75/39.05 | (567) unequally_directed_lines(all_1_9_9, all_146_3_246) = all_146_2_245
% 78.75/39.05 | (568) unequally_directed_lines(all_1_9_9, all_1_2_2) = all_146_5_248
% 78.75/39.05 | (569) unequally_directed_lines(all_1_2_2, all_146_3_246) = all_146_0_243
% 78.75/39.05 | (570) reverse_line(all_1_8_8) = all_146_3_246
% 78.75/39.05 |
% 78.75/39.05 | Instantiating (287) with all_148_0_249, all_148_1_250, all_148_2_251, all_148_3_252, all_148_4_253, all_148_5_254 yields:
% 78.75/39.05 | (571) reverse_line(all_1_8_8) = all_148_5_254 & unequally_directed_lines(all_1_8_8, all_21_3_35) = all_148_0_249 & unequally_directed_lines(all_1_8_8, all_1_2_2) = all_148_1_250 & unequally_directed_lines(all_1_9_9, all_148_5_254) = all_148_4_253 & unequally_directed_lines(all_1_9_9, all_21_3_35) = all_148_2_251 & unequally_directed_lines(all_1_9_9, all_1_2_2) = all_148_3_252 & ( ~ (all_148_4_253 = 0) | (all_148_0_249 = 0 & all_148_1_250 = 0) | (all_148_2_251 = 0 & all_148_3_252 = 0))
% 78.75/39.06 |
% 78.75/39.06 | Applying alpha-rule on (571) yields:
% 78.75/39.06 | (572) unequally_directed_lines(all_1_8_8, all_21_3_35) = all_148_0_249
% 78.75/39.06 | (573) unequally_directed_lines(all_1_8_8, all_1_2_2) = all_148_1_250
% 78.75/39.06 | (574) unequally_directed_lines(all_1_9_9, all_1_2_2) = all_148_3_252
% 78.75/39.06 | (575) reverse_line(all_1_8_8) = all_148_5_254
% 78.75/39.06 | (576) unequally_directed_lines(all_1_9_9, all_21_3_35) = all_148_2_251
% 78.75/39.06 | (577) ~ (all_148_4_253 = 0) | (all_148_0_249 = 0 & all_148_1_250 = 0) | (all_148_2_251 = 0 & all_148_3_252 = 0)
% 78.75/39.06 | (578) unequally_directed_lines(all_1_9_9, all_148_5_254) = all_148_4_253
% 78.75/39.06 |
% 78.75/39.06 | Instantiating (286) with all_150_0_255, all_150_1_256, all_150_2_257, all_150_3_258, all_150_4_259, all_150_5_260 yields:
% 78.75/39.06 | (579) reverse_line(all_1_8_8) = all_150_3_258 & reverse_line(all_1_8_8) = all_150_5_260 & unequally_directed_lines(all_1_8_8, all_150_3_258) = all_150_0_255 & unequally_directed_lines(all_1_8_8, all_1_8_8) = all_150_1_256 & unequally_directed_lines(all_1_9_9, all_150_3_258) = all_150_2_257 & unequally_directed_lines(all_1_9_9, all_150_5_260) = all_150_4_259 & ( ~ (all_150_4_259 = 0) | all_150_2_257 = 0 | (all_150_0_255 = 0 & all_150_1_256 = 0))
% 78.75/39.06 |
% 78.75/39.06 | Applying alpha-rule on (579) yields:
% 78.75/39.06 | (580) unequally_directed_lines(all_1_8_8, all_150_3_258) = all_150_0_255
% 78.75/39.06 | (581) unequally_directed_lines(all_1_8_8, all_1_8_8) = all_150_1_256
% 78.75/39.06 | (582) unequally_directed_lines(all_1_9_9, all_150_5_260) = all_150_4_259
% 78.75/39.06 | (583) unequally_directed_lines(all_1_9_9, all_150_3_258) = all_150_2_257
% 78.75/39.06 | (584) reverse_line(all_1_8_8) = all_150_3_258
% 78.75/39.06 | (585) reverse_line(all_1_8_8) = all_150_5_260
% 78.75/39.06 | (586) ~ (all_150_4_259 = 0) | all_150_2_257 = 0 | (all_150_0_255 = 0 & all_150_1_256 = 0)
% 78.75/39.06 |
% 78.75/39.06 | Instantiating (324) with all_152_0_261 yields:
% 78.75/39.06 | (587) reverse_line(all_1_8_8) = all_152_0_261 & unequally_directed_lines(all_1_10_10, all_152_0_261) = 0
% 78.75/39.06 |
% 78.75/39.06 | Applying alpha-rule on (587) yields:
% 78.75/39.06 | (588) reverse_line(all_1_8_8) = all_152_0_261
% 78.75/39.06 | (589) unequally_directed_lines(all_1_10_10, all_152_0_261) = 0
% 78.75/39.06 |
% 78.75/39.06 | Instantiating (323) with all_154_0_262 yields:
% 78.75/39.06 | (590) reverse_line(all_1_8_8) = all_154_0_262 & unequally_directed_lines(all_1_9_9, all_154_0_262) = 0
% 78.75/39.06 |
% 78.75/39.06 | Applying alpha-rule on (590) yields:
% 78.75/39.06 | (591) reverse_line(all_1_8_8) = all_154_0_262
% 78.75/39.06 | (592) unequally_directed_lines(all_1_9_9, all_154_0_262) = 0
% 78.75/39.06 |
% 78.75/39.06 | Instantiating (285) with all_158_0_264, all_158_1_265, all_158_2_266, all_158_3_267, all_158_4_268, all_158_5_269 yields:
% 78.75/39.06 | (593) reverse_line(all_1_8_8) = all_158_2_266 & reverse_line(all_1_9_9) = all_158_4_268 & unequally_directed_lines(all_1_9_9, all_158_2_266) = all_158_0_264 & unequally_directed_lines(all_1_9_9, all_158_2_266) = all_158_1_265 & unequally_directed_lines(all_1_9_9, all_158_4_268) = all_158_3_267 & unequally_directed_lines(all_1_9_9, all_1_9_9) = all_158_5_269 & ( ~ (all_158_3_267 = 0) | ~ (all_158_5_269 = 0) | all_158_0_264 = 0 | all_158_1_265 = 0)
% 78.75/39.06 |
% 78.75/39.06 | Applying alpha-rule on (593) yields:
% 78.75/39.06 | (594) unequally_directed_lines(all_1_9_9, all_158_2_266) = all_158_1_265
% 78.75/39.06 | (595) unequally_directed_lines(all_1_9_9, all_158_4_268) = all_158_3_267
% 78.75/39.06 | (596) unequally_directed_lines(all_1_9_9, all_158_2_266) = all_158_0_264
% 78.75/39.06 | (597) unequally_directed_lines(all_1_9_9, all_1_9_9) = all_158_5_269
% 78.75/39.06 | (598) reverse_line(all_1_8_8) = all_158_2_266
% 78.75/39.06 | (599) reverse_line(all_1_9_9) = all_158_4_268
% 78.75/39.06 | (600) ~ (all_158_3_267 = 0) | ~ (all_158_5_269 = 0) | all_158_0_264 = 0 | all_158_1_265 = 0
% 78.75/39.06 |
% 78.75/39.06 | Instantiating (322) with all_168_0_278, all_168_1_279, all_168_2_280, all_168_3_281 yields:
% 78.75/39.06 | (601) left_convergent_lines(all_1_10_10, all_168_3_281) = all_168_0_278 & left_convergent_lines(all_1_10_10, all_1_9_9) = all_168_1_279 & reverse_line(all_1_9_9) = all_168_3_281 & unequally_directed_lines(all_1_10_10, all_168_3_281) = all_168_2_280 & ( ~ (all_168_2_280 = 0) | all_168_0_278 = 0 | all_168_1_279 = 0)
% 78.75/39.06 |
% 78.75/39.06 | Applying alpha-rule on (601) yields:
% 78.75/39.06 | (602) unequally_directed_lines(all_1_10_10, all_168_3_281) = all_168_2_280
% 78.75/39.06 | (603) left_convergent_lines(all_1_10_10, all_168_3_281) = all_168_0_278
% 78.75/39.06 | (604) ~ (all_168_2_280 = 0) | all_168_0_278 = 0 | all_168_1_279 = 0
% 78.75/39.06 | (605) reverse_line(all_1_9_9) = all_168_3_281
% 78.75/39.06 | (606) left_convergent_lines(all_1_10_10, all_1_9_9) = all_168_1_279
% 78.75/39.06 |
% 78.75/39.06 | Instantiating (321) with all_172_0_284, all_172_1_285, all_172_2_286, all_172_3_287, all_172_4_288 yields:
% 78.75/39.06 | (607) intersection_point(all_1_10_10, all_1_9_9) = all_172_2_286 & apart_point_and_line(all_172_2_286, all_1_9_9) = all_172_0_284 & apart_point_and_line(all_172_2_286, all_1_10_10) = all_172_1_285 & reverse_line(all_1_9_9) = all_172_4_288 & unequally_directed_lines(all_1_10_10, all_172_4_288) = all_172_3_287 & ( ~ (all_172_3_287 = 0) | ( ~ (all_172_0_284 = 0) & ~ (all_172_1_285 = 0)))
% 78.75/39.06 |
% 78.75/39.06 | Applying alpha-rule on (607) yields:
% 78.75/39.06 | (608) ~ (all_172_3_287 = 0) | ( ~ (all_172_0_284 = 0) & ~ (all_172_1_285 = 0))
% 78.75/39.06 | (609) unequally_directed_lines(all_1_10_10, all_172_4_288) = all_172_3_287
% 78.75/39.06 | (610) reverse_line(all_1_9_9) = all_172_4_288
% 78.75/39.06 | (611) apart_point_and_line(all_172_2_286, all_1_9_9) = all_172_0_284
% 78.75/39.06 | (612) intersection_point(all_1_10_10, all_1_9_9) = all_172_2_286
% 78.75/39.06 | (613) apart_point_and_line(all_172_2_286, all_1_10_10) = all_172_1_285
% 78.75/39.06 |
% 78.75/39.06 | Instantiating (320) with all_178_0_295, all_178_1_296, all_178_2_297, all_178_3_298, all_178_4_299, all_178_5_300 yields:
% 78.75/39.06 | (614) intersection_point(all_1_10_10, all_1_9_9) = all_178_1_296 & point(all_178_1_296) = all_178_0_295 & line(all_1_9_9) = all_178_4_299 & line(all_1_10_10) = all_178_5_300 & reverse_line(all_1_9_9) = all_178_3_298 & unequally_directed_lines(all_1_10_10, all_178_3_298) = all_178_2_297 & ( ~ (all_178_2_297 = 0) | ~ (all_178_4_299 = 0) | ~ (all_178_5_300 = 0) | all_178_0_295 = 0)
% 78.75/39.06 |
% 78.75/39.06 | Applying alpha-rule on (614) yields:
% 78.75/39.06 | (615) intersection_point(all_1_10_10, all_1_9_9) = all_178_1_296
% 78.75/39.06 | (616) ~ (all_178_2_297 = 0) | ~ (all_178_4_299 = 0) | ~ (all_178_5_300 = 0) | all_178_0_295 = 0
% 78.75/39.06 | (617) line(all_1_10_10) = all_178_5_300
% 78.75/39.06 | (618) reverse_line(all_1_9_9) = all_178_3_298
% 78.75/39.06 | (619) unequally_directed_lines(all_1_10_10, all_178_3_298) = all_178_2_297
% 78.75/39.06 | (620) point(all_178_1_296) = all_178_0_295
% 78.75/39.06 | (621) line(all_1_9_9) = all_178_4_299
% 78.75/39.06 |
% 78.75/39.06 | Instantiating (282) with all_186_0_310, all_186_1_311, all_186_2_312, all_186_3_313, all_186_4_314, all_186_5_315 yields:
% 78.75/39.06 | (622) reverse_line(all_1_4_4) = all_186_2_312 & reverse_line(all_1_9_9) = all_186_4_314 & unequally_directed_lines(all_1_9_9, all_186_2_312) = all_186_0_310 & unequally_directed_lines(all_1_9_9, all_186_2_312) = all_186_1_311 & unequally_directed_lines(all_1_9_9, all_186_4_314) = all_186_3_313 & unequally_directed_lines(all_1_9_9, all_1_9_9) = all_186_5_315 & ( ~ (all_186_3_313 = 0) | ~ (all_186_5_315 = 0) | (all_186_0_310 = 0 & all_19_4_31 = 0) | (all_186_1_311 = 0 & all_19_4_31 = 0))
% 78.75/39.06 |
% 78.75/39.06 | Applying alpha-rule on (622) yields:
% 78.75/39.06 | (623) reverse_line(all_1_4_4) = all_186_2_312
% 78.75/39.06 | (624) unequally_directed_lines(all_1_9_9, all_186_2_312) = all_186_1_311
% 78.75/39.06 | (625) unequally_directed_lines(all_1_9_9, all_186_4_314) = all_186_3_313
% 78.75/39.06 | (626) unequally_directed_lines(all_1_9_9, all_186_2_312) = all_186_0_310
% 78.75/39.06 | (627) ~ (all_186_3_313 = 0) | ~ (all_186_5_315 = 0) | (all_186_0_310 = 0 & all_19_4_31 = 0) | (all_186_1_311 = 0 & all_19_4_31 = 0)
% 78.75/39.06 | (628) reverse_line(all_1_9_9) = all_186_4_314
% 78.75/39.06 | (629) unequally_directed_lines(all_1_9_9, all_1_9_9) = all_186_5_315
% 78.75/39.06 |
% 78.75/39.06 | Instantiating (280) with all_190_0_322, all_190_1_323, all_190_2_324, all_190_3_325, all_190_4_326 yields:
% 78.75/39.06 | (630) reverse_line(all_1_9_9) = all_190_3_325 & unequally_directed_lines(all_1_9_9, all_190_3_325) = all_190_2_324 & unequally_directed_lines(all_1_9_9, all_19_3_30) = all_190_1_323 & unequally_directed_lines(all_1_9_9, all_1_4_4) = all_190_0_322 & unequally_directed_lines(all_1_9_9, all_1_9_9) = all_190_4_326 & ( ~ (all_190_2_324 = 0) | ~ (all_190_4_326 = 0) | (all_190_0_322 = 0 & all_19_2_29 = 0) | (all_190_1_323 = 0 & all_19_4_31 = 0))
% 78.75/39.06 |
% 78.75/39.06 | Applying alpha-rule on (630) yields:
% 78.75/39.06 | (631) unequally_directed_lines(all_1_9_9, all_190_3_325) = all_190_2_324
% 78.75/39.06 | (632) unequally_directed_lines(all_1_9_9, all_1_4_4) = all_190_0_322
% 78.75/39.06 | (633) reverse_line(all_1_9_9) = all_190_3_325
% 78.75/39.06 | (634) unequally_directed_lines(all_1_9_9, all_19_3_30) = all_190_1_323
% 78.75/39.06 | (635) ~ (all_190_2_324 = 0) | ~ (all_190_4_326 = 0) | (all_190_0_322 = 0 & all_19_2_29 = 0) | (all_190_1_323 = 0 & all_19_4_31 = 0)
% 78.75/39.06 | (636) unequally_directed_lines(all_1_9_9, all_1_9_9) = all_190_4_326
% 78.75/39.06 |
% 78.75/39.06 | Instantiating (274) with all_194_0_329, all_194_1_330, all_194_2_331, all_194_3_332, all_194_4_333, all_194_5_334 yields:
% 78.75/39.06 | (637) reverse_line(all_21_3_35) = all_194_2_331 & reverse_line(all_1_9_9) = all_194_4_333 & unequally_directed_lines(all_1_9_9, all_194_2_331) = all_194_0_329 & unequally_directed_lines(all_1_9_9, all_194_2_331) = all_194_1_330 & unequally_directed_lines(all_1_9_9, all_194_4_333) = all_194_3_332 & unequally_directed_lines(all_1_9_9, all_1_9_9) = all_194_5_334 & ( ~ (all_194_3_332 = 0) | ~ (all_194_5_334 = 0) | (all_194_0_329 = 0 & all_21_2_34 = 0) | (all_194_1_330 = 0 & all_21_2_34 = 0))
% 78.75/39.07 |
% 78.75/39.07 | Applying alpha-rule on (637) yields:
% 78.75/39.07 | (638) reverse_line(all_1_9_9) = all_194_4_333
% 78.75/39.07 | (639) ~ (all_194_3_332 = 0) | ~ (all_194_5_334 = 0) | (all_194_0_329 = 0 & all_21_2_34 = 0) | (all_194_1_330 = 0 & all_21_2_34 = 0)
% 78.75/39.07 | (640) unequally_directed_lines(all_1_9_9, all_194_2_331) = all_194_1_330
% 78.75/39.07 | (641) reverse_line(all_21_3_35) = all_194_2_331
% 78.75/39.07 | (642) unequally_directed_lines(all_1_9_9, all_194_4_333) = all_194_3_332
% 78.75/39.07 | (643) unequally_directed_lines(all_1_9_9, all_194_2_331) = all_194_0_329
% 78.75/39.07 | (644) unequally_directed_lines(all_1_9_9, all_1_9_9) = all_194_5_334
% 78.75/39.07 |
% 78.75/39.07 | Instantiating (281) with all_204_0_357, all_204_1_358, all_204_2_359, all_204_3_360, all_204_4_361 yields:
% 78.75/39.07 | (645) reverse_line(all_1_9_9) = all_204_3_360 & unequally_directed_lines(all_1_9_9, all_204_3_360) = all_204_2_359 & unequally_directed_lines(all_1_9_9, all_19_3_30) = all_204_0_357 & unequally_directed_lines(all_1_9_9, all_1_4_4) = all_204_1_358 & unequally_directed_lines(all_1_9_9, all_1_9_9) = all_204_4_361 & ( ~ (all_204_2_359 = 0) | ~ (all_204_4_361 = 0) | (all_204_0_357 = 0 & all_19_4_31 = 0) | (all_204_1_358 = 0 & all_19_2_29 = 0))
% 78.75/39.07 |
% 78.75/39.07 | Applying alpha-rule on (645) yields:
% 78.75/39.07 | (646) ~ (all_204_2_359 = 0) | ~ (all_204_4_361 = 0) | (all_204_0_357 = 0 & all_19_4_31 = 0) | (all_204_1_358 = 0 & all_19_2_29 = 0)
% 78.75/39.07 | (647) reverse_line(all_1_9_9) = all_204_3_360
% 78.75/39.07 | (648) unequally_directed_lines(all_1_9_9, all_1_9_9) = all_204_4_361
% 78.75/39.07 | (649) unequally_directed_lines(all_1_9_9, all_19_3_30) = all_204_0_357
% 78.75/39.07 | (650) unequally_directed_lines(all_1_9_9, all_1_4_4) = all_204_1_358
% 78.75/39.07 | (651) unequally_directed_lines(all_1_9_9, all_204_3_360) = all_204_2_359
% 78.75/39.07 |
% 78.75/39.07 | Instantiating (276) with all_208_0_368, all_208_1_369, all_208_2_370, all_208_3_371, all_208_4_372, all_208_5_373 yields:
% 78.75/39.07 | (652) reverse_line(all_19_3_30) = all_208_2_370 & reverse_line(all_1_9_9) = all_208_4_372 & unequally_directed_lines(all_1_9_9, all_208_2_370) = all_208_0_368 & unequally_directed_lines(all_1_9_9, all_208_2_370) = all_208_1_369 & unequally_directed_lines(all_1_9_9, all_208_4_372) = all_208_3_371 & unequally_directed_lines(all_1_9_9, all_1_9_9) = all_208_5_373 & ( ~ (all_208_3_371 = 0) | ~ (all_208_5_373 = 0) | (all_208_0_368 = 0 & all_19_2_29 = 0) | (all_208_1_369 = 0 & all_19_2_29 = 0))
% 78.75/39.07 |
% 78.75/39.07 | Applying alpha-rule on (652) yields:
% 78.75/39.07 | (653) reverse_line(all_19_3_30) = all_208_2_370
% 78.75/39.07 | (654) unequally_directed_lines(all_1_9_9, all_208_4_372) = all_208_3_371
% 78.75/39.07 | (655) reverse_line(all_1_9_9) = all_208_4_372
% 78.75/39.07 | (656) unequally_directed_lines(all_1_9_9, all_208_2_370) = all_208_1_369
% 78.75/39.07 | (657) ~ (all_208_3_371 = 0) | ~ (all_208_5_373 = 0) | (all_208_0_368 = 0 & all_19_2_29 = 0) | (all_208_1_369 = 0 & all_19_2_29 = 0)
% 78.75/39.07 | (658) unequally_directed_lines(all_1_9_9, all_208_2_370) = all_208_0_368
% 78.75/39.07 | (659) unequally_directed_lines(all_1_9_9, all_1_9_9) = all_208_5_373
% 78.75/39.07 |
% 78.75/39.07 | Instantiating (275) with all_212_0_380, all_212_1_381, all_212_2_382, all_212_3_383, all_212_4_384 yields:
% 78.75/39.07 | (660) reverse_line(all_1_9_9) = all_212_3_383 & unequally_directed_lines(all_1_9_9, all_212_3_383) = all_212_2_382 & unequally_directed_lines(all_1_9_9, all_1_4_4) = all_212_0_380 & unequally_directed_lines(all_1_9_9, all_1_4_4) = all_212_1_381 & unequally_directed_lines(all_1_9_9, all_1_9_9) = all_212_4_384 & ( ~ (all_212_2_382 = 0) | ~ (all_212_4_384 = 0) | (all_212_0_380 = 0 & all_19_2_29 = 0) | (all_212_1_381 = 0 & all_19_2_29 = 0))
% 78.75/39.07 |
% 78.75/39.07 | Applying alpha-rule on (660) yields:
% 78.75/39.07 | (661) ~ (all_212_2_382 = 0) | ~ (all_212_4_384 = 0) | (all_212_0_380 = 0 & all_19_2_29 = 0) | (all_212_1_381 = 0 & all_19_2_29 = 0)
% 78.75/39.07 | (662) unequally_directed_lines(all_1_9_9, all_1_9_9) = all_212_4_384
% 78.75/39.07 | (663) reverse_line(all_1_9_9) = all_212_3_383
% 78.75/39.07 | (664) unequally_directed_lines(all_1_9_9, all_1_4_4) = all_212_0_380
% 78.75/39.07 | (665) unequally_directed_lines(all_1_9_9, all_212_3_383) = all_212_2_382
% 78.75/39.07 | (666) unequally_directed_lines(all_1_9_9, all_1_4_4) = all_212_1_381
% 78.75/39.07 |
% 78.75/39.07 | Instantiating (278) with all_216_0_391, all_216_1_392, all_216_2_393, all_216_3_394, all_216_4_395 yields:
% 78.75/39.07 | (667) reverse_line(all_1_9_9) = all_216_3_394 & unequally_directed_lines(all_1_9_9, all_216_3_394) = all_216_2_393 & unequally_directed_lines(all_1_9_9, all_21_3_35) = all_216_0_391 & unequally_directed_lines(all_1_9_9, all_1_2_2) = all_216_1_392 & unequally_directed_lines(all_1_9_9, all_1_9_9) = all_216_4_395 & ( ~ (all_216_2_393 = 0) | ~ (all_216_4_395 = 0) | (all_216_0_391 = 0 & all_21_4_36 = 0) | (all_216_1_392 = 0 & all_21_2_34 = 0))
% 78.75/39.07 |
% 78.75/39.07 | Applying alpha-rule on (667) yields:
% 78.75/39.07 | (668) ~ (all_216_2_393 = 0) | ~ (all_216_4_395 = 0) | (all_216_0_391 = 0 & all_21_4_36 = 0) | (all_216_1_392 = 0 & all_21_2_34 = 0)
% 78.75/39.07 | (669) unequally_directed_lines(all_1_9_9, all_1_9_9) = all_216_4_395
% 78.75/39.07 | (670) unequally_directed_lines(all_1_9_9, all_216_3_394) = all_216_2_393
% 78.75/39.07 | (671) unequally_directed_lines(all_1_9_9, all_1_2_2) = all_216_1_392
% 78.75/39.07 | (672) reverse_line(all_1_9_9) = all_216_3_394
% 78.75/39.07 | (673) unequally_directed_lines(all_1_9_9, all_21_3_35) = all_216_0_391
% 78.75/39.07 |
% 78.75/39.07 | Instantiating (279) with all_226_0_407, all_226_1_408, all_226_2_409, all_226_3_410, all_226_4_411, all_226_5_412 yields:
% 78.75/39.07 | (674) reverse_line(all_1_2_2) = all_226_2_409 & reverse_line(all_1_9_9) = all_226_4_411 & unequally_directed_lines(all_1_9_9, all_226_2_409) = all_226_0_407 & unequally_directed_lines(all_1_9_9, all_226_2_409) = all_226_1_408 & unequally_directed_lines(all_1_9_9, all_226_4_411) = all_226_3_410 & unequally_directed_lines(all_1_9_9, all_1_9_9) = all_226_5_412 & ( ~ (all_226_3_410 = 0) | ~ (all_226_5_412 = 0) | (all_226_0_407 = 0 & all_21_4_36 = 0) | (all_226_1_408 = 0 & all_21_4_36 = 0))
% 78.75/39.07 |
% 78.75/39.07 | Applying alpha-rule on (674) yields:
% 78.75/39.07 | (675) unequally_directed_lines(all_1_9_9, all_226_4_411) = all_226_3_410
% 78.75/39.07 | (676) unequally_directed_lines(all_1_9_9, all_226_2_409) = all_226_0_407
% 78.75/39.07 | (677) unequally_directed_lines(all_1_9_9, all_226_2_409) = all_226_1_408
% 78.75/39.07 | (678) ~ (all_226_3_410 = 0) | ~ (all_226_5_412 = 0) | (all_226_0_407 = 0 & all_21_4_36 = 0) | (all_226_1_408 = 0 & all_21_4_36 = 0)
% 78.75/39.07 | (679) reverse_line(all_1_9_9) = all_226_4_411
% 78.75/39.07 | (680) reverse_line(all_1_2_2) = all_226_2_409
% 78.75/39.07 | (681) unequally_directed_lines(all_1_9_9, all_1_9_9) = all_226_5_412
% 78.75/39.07 |
% 78.75/39.07 | Instantiating (277) with all_228_0_413, all_228_1_414, all_228_2_415, all_228_3_416, all_228_4_417 yields:
% 78.75/39.07 | (682) reverse_line(all_1_9_9) = all_228_3_416 & unequally_directed_lines(all_1_9_9, all_228_3_416) = all_228_2_415 & unequally_directed_lines(all_1_9_9, all_21_3_35) = all_228_1_414 & unequally_directed_lines(all_1_9_9, all_1_2_2) = all_228_0_413 & unequally_directed_lines(all_1_9_9, all_1_9_9) = all_228_4_417 & ( ~ (all_228_2_415 = 0) | ~ (all_228_4_417 = 0) | (all_228_0_413 = 0 & all_21_2_34 = 0) | (all_228_1_414 = 0 & all_21_4_36 = 0))
% 78.75/39.07 |
% 78.75/39.07 | Applying alpha-rule on (682) yields:
% 78.75/39.07 | (683) ~ (all_228_2_415 = 0) | ~ (all_228_4_417 = 0) | (all_228_0_413 = 0 & all_21_2_34 = 0) | (all_228_1_414 = 0 & all_21_4_36 = 0)
% 78.75/39.07 | (684) unequally_directed_lines(all_1_9_9, all_21_3_35) = all_228_1_414
% 78.75/39.07 | (685) unequally_directed_lines(all_1_9_9, all_1_9_9) = all_228_4_417
% 78.75/39.07 | (686) reverse_line(all_1_9_9) = all_228_3_416
% 78.75/39.07 | (687) unequally_directed_lines(all_1_9_9, all_228_3_416) = all_228_2_415
% 78.75/39.07 | (688) unequally_directed_lines(all_1_9_9, all_1_2_2) = all_228_0_413
% 78.75/39.07 |
% 78.75/39.07 | Instantiating (273) with all_250_0_447, all_250_1_448, all_250_2_449, all_250_3_450, all_250_4_451 yields:
% 78.75/39.07 | (689) reverse_line(all_1_9_9) = all_250_3_450 & unequally_directed_lines(all_1_9_9, all_250_3_450) = all_250_2_449 & unequally_directed_lines(all_1_9_9, all_1_2_2) = all_250_0_447 & unequally_directed_lines(all_1_9_9, all_1_2_2) = all_250_1_448 & unequally_directed_lines(all_1_9_9, all_1_9_9) = all_250_4_451 & ( ~ (all_250_2_449 = 0) | ~ (all_250_4_451 = 0) | (all_250_0_447 = 0 & all_21_2_34 = 0) | (all_250_1_448 = 0 & all_21_2_34 = 0))
% 78.75/39.07 |
% 78.75/39.07 | Applying alpha-rule on (689) yields:
% 78.75/39.07 | (690) ~ (all_250_2_449 = 0) | ~ (all_250_4_451 = 0) | (all_250_0_447 = 0 & all_21_2_34 = 0) | (all_250_1_448 = 0 & all_21_2_34 = 0)
% 78.75/39.07 | (691) unequally_directed_lines(all_1_9_9, all_250_3_450) = all_250_2_449
% 78.75/39.07 | (692) unequally_directed_lines(all_1_9_9, all_1_2_2) = all_250_0_447
% 78.75/39.07 | (693) unequally_directed_lines(all_1_9_9, all_1_2_2) = all_250_1_448
% 78.75/39.07 | (694) unequally_directed_lines(all_1_9_9, all_1_9_9) = all_250_4_451
% 78.75/39.07 | (695) reverse_line(all_1_9_9) = all_250_3_450
% 78.75/39.07 |
% 78.75/39.07 | Instantiating (293) with all_390_0_662, all_390_1_663, all_390_2_664, all_390_3_665, all_390_4_666, all_390_5_667 yields:
% 78.75/39.07 | (696) intersection_point(all_1_9_9, all_1_8_8) = all_390_1_663 & point(all_390_1_663) = all_390_0_662 & line(all_1_8_8) = all_390_4_666 & line(all_1_9_9) = all_390_5_667 & reverse_line(all_1_8_8) = all_390_3_665 & unequally_directed_lines(all_1_9_9, all_390_3_665) = all_390_2_664 & ( ~ (all_390_2_664 = 0) | ~ (all_390_4_666 = 0) | ~ (all_390_5_667 = 0) | all_390_0_662 = 0)
% 78.75/39.07 |
% 78.75/39.07 | Applying alpha-rule on (696) yields:
% 78.75/39.07 | (697) ~ (all_390_2_664 = 0) | ~ (all_390_4_666 = 0) | ~ (all_390_5_667 = 0) | all_390_0_662 = 0
% 78.75/39.07 | (698) point(all_390_1_663) = all_390_0_662
% 78.75/39.07 | (699) line(all_1_9_9) = all_390_5_667
% 78.75/39.07 | (700) intersection_point(all_1_9_9, all_1_8_8) = all_390_1_663
% 78.75/39.07 | (701) reverse_line(all_1_8_8) = all_390_3_665
% 78.75/39.08 | (702) unequally_directed_lines(all_1_9_9, all_390_3_665) = all_390_2_664
% 78.75/39.08 | (703) line(all_1_8_8) = all_390_4_666
% 78.75/39.08 |
% 78.75/39.08 | Instantiating (292) with all_392_0_668, all_392_1_669, all_392_2_670, all_392_3_671, all_392_4_672, all_392_5_673 yields:
% 78.75/39.08 | (704) reverse_line(all_1_4_4) = all_392_3_671 & reverse_line(all_1_8_8) = all_392_5_673 & unequally_directed_lines(all_1_8_8, all_392_3_671) = all_392_0_668 & unequally_directed_lines(all_1_8_8, all_1_4_4) = all_392_1_669 & unequally_directed_lines(all_1_9_9, all_392_3_671) = all_392_2_670 & unequally_directed_lines(all_1_9_9, all_392_5_673) = all_392_4_672 & ( ~ (all_392_4_672 = 0) | (all_392_0_668 = 0 & all_392_1_669 = 0) | (all_392_2_670 = 0 & all_19_4_31 = 0))
% 78.75/39.08 |
% 78.75/39.08 | Applying alpha-rule on (704) yields:
% 78.75/39.08 | (705) unequally_directed_lines(all_1_9_9, all_392_5_673) = all_392_4_672
% 78.75/39.08 | (706) unequally_directed_lines(all_1_8_8, all_1_4_4) = all_392_1_669
% 78.75/39.08 | (707) reverse_line(all_1_4_4) = all_392_3_671
% 78.75/39.08 | (708) unequally_directed_lines(all_1_8_8, all_392_3_671) = all_392_0_668
% 78.75/39.08 | (709) reverse_line(all_1_8_8) = all_392_5_673
% 78.75/39.08 | (710) ~ (all_392_4_672 = 0) | (all_392_0_668 = 0 & all_392_1_669 = 0) | (all_392_2_670 = 0 & all_19_4_31 = 0)
% 78.75/39.08 | (711) unequally_directed_lines(all_1_9_9, all_392_3_671) = all_392_2_670
% 78.75/39.08 |
% 78.75/39.08 | Instantiating (297) with all_394_0_674, all_394_1_675, all_394_2_676, all_394_3_677, all_394_4_678, all_394_5_679 yields:
% 78.75/39.08 | (712) reverse_line(all_1_8_8) = all_394_3_677 & unequally_directed_lines(all_1_4_4, all_394_3_677) = all_394_0_674 & unequally_directed_lines(all_1_4_4, all_1_8_8) = all_394_1_675 & unequally_directed_lines(all_1_10_10, all_394_3_677) = all_394_2_676 & unequally_directed_lines(all_1_10_10, all_19_3_30) = all_394_4_678 & unequally_directed_lines(all_1_10_10, all_1_4_4) = all_394_5_679 & ( ~ (all_394_4_678 = 0) | ~ (all_394_5_679 = 0) | all_394_2_676 = 0 | (all_394_0_674 = 0 & all_394_1_675 = 0))
% 78.75/39.08 |
% 78.75/39.08 | Applying alpha-rule on (712) yields:
% 78.75/39.08 | (713) unequally_directed_lines(all_1_10_10, all_19_3_30) = all_394_4_678
% 78.75/39.08 | (714) unequally_directed_lines(all_1_4_4, all_394_3_677) = all_394_0_674
% 78.75/39.08 | (715) ~ (all_394_4_678 = 0) | ~ (all_394_5_679 = 0) | all_394_2_676 = 0 | (all_394_0_674 = 0 & all_394_1_675 = 0)
% 78.75/39.08 | (716) unequally_directed_lines(all_1_10_10, all_394_3_677) = all_394_2_676
% 78.75/39.08 | (717) unequally_directed_lines(all_1_10_10, all_1_4_4) = all_394_5_679
% 78.75/39.08 | (718) unequally_directed_lines(all_1_4_4, all_1_8_8) = all_394_1_675
% 78.75/39.08 | (719) reverse_line(all_1_8_8) = all_394_3_677
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (113) with all_1_8_8, all_1_10_10 yields:
% 78.75/39.08 | (720) ~ (left_convergent_lines(all_1_10_10, all_1_8_8) = 0)
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_390_3_665, all_392_5_673 and discharging atoms reverse_line(all_1_8_8) = all_392_5_673, reverse_line(all_1_8_8) = all_390_3_665, yields:
% 78.75/39.08 | (721) all_392_5_673 = all_390_3_665
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_152_0_261, all_394_3_677 and discharging atoms reverse_line(all_1_8_8) = all_394_3_677, reverse_line(all_1_8_8) = all_152_0_261, yields:
% 78.75/39.08 | (722) all_394_3_677 = all_152_0_261
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_150_3_258, all_390_3_665 and discharging atoms reverse_line(all_1_8_8) = all_390_3_665, reverse_line(all_1_8_8) = all_150_3_258, yields:
% 78.75/39.08 | (723) all_390_3_665 = all_150_3_258
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_150_5_260, all_154_0_262 and discharging atoms reverse_line(all_1_8_8) = all_154_0_262, reverse_line(all_1_8_8) = all_150_5_260, yields:
% 78.75/39.08 | (724) all_154_0_262 = all_150_5_260
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_148_5_254, all_390_3_665 and discharging atoms reverse_line(all_1_8_8) = all_390_3_665, reverse_line(all_1_8_8) = all_148_5_254, yields:
% 78.75/39.08 | (725) all_390_3_665 = all_148_5_254
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_146_3_246, all_158_2_266 and discharging atoms reverse_line(all_1_8_8) = all_158_2_266, reverse_line(all_1_8_8) = all_146_3_246, yields:
% 78.75/39.08 | (726) all_158_2_266 = all_146_3_246
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_144_3_240, all_150_5_260 and discharging atoms reverse_line(all_1_8_8) = all_150_5_260, reverse_line(all_1_8_8) = all_144_3_240, yields:
% 78.75/39.08 | (727) all_150_5_260 = all_144_3_240
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_142_5_236, all_390_3_665 and discharging atoms reverse_line(all_1_8_8) = all_390_3_665, reverse_line(all_1_8_8) = all_142_5_236, yields:
% 78.75/39.08 | (728) all_390_3_665 = all_142_5_236
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_142_5_236, all_158_2_266 and discharging atoms reverse_line(all_1_8_8) = all_158_2_266, reverse_line(all_1_8_8) = all_142_5_236, yields:
% 78.75/39.08 | (729) all_158_2_266 = all_142_5_236
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_142_5_236, all_150_5_260 and discharging atoms reverse_line(all_1_8_8) = all_150_5_260, reverse_line(all_1_8_8) = all_142_5_236, yields:
% 78.75/39.08 | (730) all_150_5_260 = all_142_5_236
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_140_5_230, all_154_0_262 and discharging atoms reverse_line(all_1_8_8) = all_154_0_262, reverse_line(all_1_8_8) = all_140_5_230, yields:
% 78.75/39.08 | (731) all_154_0_262 = all_140_5_230
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_138_5_224, all_394_3_677 and discharging atoms reverse_line(all_1_8_8) = all_394_3_677, reverse_line(all_1_8_8) = all_138_5_224, yields:
% 78.75/39.08 | (732) all_394_3_677 = all_138_5_224
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_130_5_200, all_392_5_673 and discharging atoms reverse_line(all_1_8_8) = all_392_5_673, reverse_line(all_1_8_8) = all_130_5_200, yields:
% 78.75/39.08 | (733) all_392_5_673 = all_130_5_200
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_128_5_194, all_134_5_212 and discharging atoms reverse_line(all_1_8_8) = all_134_5_212, reverse_line(all_1_8_8) = all_128_5_194, yields:
% 78.75/39.08 | (734) all_134_5_212 = all_128_5_194
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_126_4_188, all_142_5_236 and discharging atoms reverse_line(all_1_8_8) = all_142_5_236, reverse_line(all_1_8_8) = all_126_4_188, yields:
% 78.75/39.08 | (735) all_142_5_236 = all_126_4_188
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_124_3_183, all_128_5_194 and discharging atoms reverse_line(all_1_8_8) = all_128_5_194, reverse_line(all_1_8_8) = all_124_3_183, yields:
% 78.75/39.08 | (736) all_128_5_194 = all_124_3_183
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_120_3_176, all_158_2_266 and discharging atoms reverse_line(all_1_8_8) = all_158_2_266, reverse_line(all_1_8_8) = all_120_3_176, yields:
% 78.75/39.08 | (737) all_158_2_266 = all_120_3_176
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_118_2_169, all_394_3_677 and discharging atoms reverse_line(all_1_8_8) = all_394_3_677, reverse_line(all_1_8_8) = all_118_2_169, yields:
% 78.75/39.08 | (738) all_394_3_677 = all_118_2_169
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_114_5_160, all_394_3_677 and discharging atoms reverse_line(all_1_8_8) = all_394_3_677, reverse_line(all_1_8_8) = all_114_5_160, yields:
% 78.75/39.08 | (739) all_394_3_677 = all_114_5_160
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_114_5_160, all_142_5_236 and discharging atoms reverse_line(all_1_8_8) = all_142_5_236, reverse_line(all_1_8_8) = all_114_5_160, yields:
% 78.75/39.08 | (740) all_142_5_236 = all_114_5_160
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_112_2_151, all_114_3_158 and discharging atoms reverse_line(all_1_8_8) = all_114_3_158, reverse_line(all_1_8_8) = all_112_2_151, yields:
% 78.75/39.08 | (741) all_114_3_158 = all_112_2_151
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_110_5_148, all_138_5_224 and discharging atoms reverse_line(all_1_8_8) = all_138_5_224, reverse_line(all_1_8_8) = all_110_5_148, yields:
% 78.75/39.08 | (742) all_138_5_224 = all_110_5_148
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_96_3_106, all_124_3_183 and discharging atoms reverse_line(all_1_8_8) = all_124_3_183, reverse_line(all_1_8_8) = all_96_3_106, yields:
% 78.75/39.08 | (743) all_124_3_183 = all_96_3_106
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_96_3_106, all_116_2_163 and discharging atoms reverse_line(all_1_8_8) = all_116_2_163, reverse_line(all_1_8_8) = all_96_3_106, yields:
% 78.75/39.08 | (744) all_116_2_163 = all_96_3_106
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_96_3_106, all_114_3_158 and discharging atoms reverse_line(all_1_8_8) = all_114_3_158, reverse_line(all_1_8_8) = all_96_3_106, yields:
% 78.75/39.08 | (745) all_114_3_158 = all_96_3_106
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_96_3_106, all_114_5_160 and discharging atoms reverse_line(all_1_8_8) = all_114_5_160, reverse_line(all_1_8_8) = all_96_3_106, yields:
% 78.75/39.08 | (746) all_114_5_160 = all_96_3_106
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (53) with all_96_3_106, all_1_8_8, all_1_10_10 and discharging atoms reverse_line(all_1_8_8) = all_96_3_106, yields:
% 78.75/39.08 | (747) ~ (left_convergent_lines(all_1_10_10, all_96_3_106) = 0)
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_94_3_100, all_134_5_212 and discharging atoms reverse_line(all_1_8_8) = all_134_5_212, reverse_line(all_1_8_8) = all_94_3_100, yields:
% 78.75/39.08 | (748) all_134_5_212 = all_94_3_100
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_92_4_96, all_126_4_188 and discharging atoms reverse_line(all_1_8_8) = all_126_4_188, reverse_line(all_1_8_8) = all_92_4_96, yields:
% 78.75/39.08 | (749) all_126_4_188 = all_92_4_96
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_84_2_75, all_114_3_158 and discharging atoms reverse_line(all_1_8_8) = all_114_3_158, reverse_line(all_1_8_8) = all_84_2_75, yields:
% 78.75/39.08 | (750) all_114_3_158 = all_84_2_75
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_8_8, all_82_3_70, all_116_2_163 and discharging atoms reverse_line(all_1_8_8) = all_116_2_163, reverse_line(all_1_8_8) = all_82_3_70, yields:
% 78.75/39.08 | (751) all_116_2_163 = all_82_3_70
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_9_9, all_228_3_416, all_250_3_450 and discharging atoms reverse_line(all_1_9_9) = all_250_3_450, reverse_line(all_1_9_9) = all_228_3_416, yields:
% 78.75/39.08 | (752) all_250_3_450 = all_228_3_416
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_9_9, all_212_3_383, all_226_4_411 and discharging atoms reverse_line(all_1_9_9) = all_226_4_411, reverse_line(all_1_9_9) = all_212_3_383, yields:
% 78.75/39.08 | (753) all_226_4_411 = all_212_3_383
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_9_9, all_208_4_372, all_228_3_416 and discharging atoms reverse_line(all_1_9_9) = all_228_3_416, reverse_line(all_1_9_9) = all_208_4_372, yields:
% 78.75/39.08 | (754) all_228_3_416 = all_208_4_372
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_9_9, all_208_4_372, all_216_3_394 and discharging atoms reverse_line(all_1_9_9) = all_216_3_394, reverse_line(all_1_9_9) = all_208_4_372, yields:
% 78.75/39.08 | (755) all_216_3_394 = all_208_4_372
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_9_9, all_204_3_360, all_216_3_394 and discharging atoms reverse_line(all_1_9_9) = all_216_3_394, reverse_line(all_1_9_9) = all_204_3_360, yields:
% 78.75/39.08 | (756) all_216_3_394 = all_204_3_360
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_9_9, all_190_3_325, all_216_3_394 and discharging atoms reverse_line(all_1_9_9) = all_216_3_394, reverse_line(all_1_9_9) = all_190_3_325, yields:
% 78.75/39.08 | (757) all_216_3_394 = all_190_3_325
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_9_9, all_178_3_298, all_190_3_325 and discharging atoms reverse_line(all_1_9_9) = all_190_3_325, reverse_line(all_1_9_9) = all_178_3_298, yields:
% 78.75/39.08 | (758) all_190_3_325 = all_178_3_298
% 78.75/39.08 |
% 78.75/39.08 | Instantiating formula (100) with all_1_9_9, all_172_4_288, all_212_3_383 and discharging atoms reverse_line(all_1_9_9) = all_212_3_383, reverse_line(all_1_9_9) = all_172_4_288, yields:
% 78.75/39.09 | (759) all_212_3_383 = all_172_4_288
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (100) with all_1_9_9, all_168_3_281, all_186_4_314 and discharging atoms reverse_line(all_1_9_9) = all_186_4_314, reverse_line(all_1_9_9) = all_168_3_281, yields:
% 78.75/39.09 | (760) all_186_4_314 = all_168_3_281
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (100) with all_1_9_9, all_168_3_281, all_178_3_298 and discharging atoms reverse_line(all_1_9_9) = all_178_3_298, reverse_line(all_1_9_9) = all_168_3_281, yields:
% 78.75/39.09 | (761) all_178_3_298 = all_168_3_281
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (100) with all_1_9_9, all_158_4_268, all_168_3_281 and discharging atoms reverse_line(all_1_9_9) = all_168_3_281, reverse_line(all_1_9_9) = all_158_4_268, yields:
% 78.75/39.09 | (762) all_168_3_281 = all_158_4_268
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (100) with all_1_9_9, all_136_5_218, all_186_4_314 and discharging atoms reverse_line(all_1_9_9) = all_186_4_314, reverse_line(all_1_9_9) = all_136_5_218, yields:
% 78.75/39.09 | (763) all_186_4_314 = all_136_5_218
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (100) with all_1_9_9, all_130_3_198, all_172_4_288 and discharging atoms reverse_line(all_1_9_9) = all_172_4_288, reverse_line(all_1_9_9) = all_130_3_198, yields:
% 78.75/39.09 | (764) all_172_4_288 = all_130_3_198
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (100) with all_1_9_9, all_116_4_165, all_186_4_314 and discharging atoms reverse_line(all_1_9_9) = all_186_4_314, reverse_line(all_1_9_9) = all_116_4_165, yields:
% 78.75/39.09 | (765) all_186_4_314 = all_116_4_165
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (100) with all_1_9_9, all_116_4_165, all_132_2_203 and discharging atoms reverse_line(all_1_9_9) = all_132_2_203, reverse_line(all_1_9_9) = all_116_4_165, yields:
% 78.75/39.09 | (766) all_132_2_203 = all_116_4_165
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (100) with all_1_9_9, all_108_5_142, all_172_4_288 and discharging atoms reverse_line(all_1_9_9) = all_172_4_288, reverse_line(all_1_9_9) = all_108_5_142, yields:
% 78.75/39.09 | (767) all_172_4_288 = all_108_5_142
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (100) with all_1_9_9, all_104_5_130, all_194_4_333 and discharging atoms reverse_line(all_1_9_9) = all_194_4_333, reverse_line(all_1_9_9) = all_104_5_130, yields:
% 78.75/39.09 | (768) all_194_4_333 = all_104_5_130
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (100) with all_1_9_9, all_104_5_130, all_172_4_288 and discharging atoms reverse_line(all_1_9_9) = all_172_4_288, reverse_line(all_1_9_9) = all_104_5_130, yields:
% 78.75/39.09 | (769) all_172_4_288 = all_104_5_130
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (100) with all_1_9_9, all_102_3_122, all_132_2_203 and discharging atoms reverse_line(all_1_9_9) = all_132_2_203, reverse_line(all_1_9_9) = all_102_3_122, yields:
% 78.75/39.09 | (770) all_132_2_203 = all_102_3_122
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (100) with all_1_9_9, all_102_5_124, all_194_4_333 and discharging atoms reverse_line(all_1_9_9) = all_194_4_333, reverse_line(all_1_9_9) = all_102_5_124, yields:
% 78.75/39.09 | (771) all_194_4_333 = all_102_5_124
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (100) with all_1_9_9, all_100_5_118, all_194_4_333 and discharging atoms reverse_line(all_1_9_9) = all_194_4_333, reverse_line(all_1_9_9) = all_100_5_118, yields:
% 78.75/39.09 | (772) all_194_4_333 = all_100_5_118
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (100) with all_1_9_9, all_100_5_118, all_132_2_203 and discharging atoms reverse_line(all_1_9_9) = all_132_2_203, reverse_line(all_1_9_9) = all_100_5_118, yields:
% 78.75/39.09 | (773) all_132_2_203 = all_100_5_118
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (100) with all_1_9_9, all_100_5_118, all_106_5_136 and discharging atoms reverse_line(all_1_9_9) = all_106_5_136, reverse_line(all_1_9_9) = all_100_5_118, yields:
% 78.75/39.09 | (774) all_106_5_136 = all_100_5_118
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (100) with all_1_9_9, all_98_5_112, all_100_5_118 and discharging atoms reverse_line(all_1_9_9) = all_100_5_118, reverse_line(all_1_9_9) = all_98_5_112, yields:
% 78.75/39.09 | (775) all_100_5_118 = all_98_5_112
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (100) with all_1_9_9, all_88_3_88, all_250_3_450 and discharging atoms reverse_line(all_1_9_9) = all_250_3_450, reverse_line(all_1_9_9) = all_88_3_88, yields:
% 78.75/39.09 | (776) all_250_3_450 = all_88_3_88
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (100) with all_1_9_9, all_86_3_82, all_226_4_411 and discharging atoms reverse_line(all_1_9_9) = all_226_4_411, reverse_line(all_1_9_9) = all_86_3_82, yields:
% 78.75/39.09 | (777) all_226_4_411 = all_86_3_82
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (100) with all_1_9_9, all_84_5_78, all_100_5_118 and discharging atoms reverse_line(all_1_9_9) = all_100_5_118, reverse_line(all_1_9_9) = all_84_5_78, yields:
% 78.75/39.09 | (778) all_100_5_118 = all_84_5_78
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (100) with all_1_9_9, all_82_5_72, all_106_5_136 and discharging atoms reverse_line(all_1_9_9) = all_106_5_136, reverse_line(all_1_9_9) = all_82_5_72, yields:
% 78.75/39.09 | (779) all_106_5_136 = all_82_5_72
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (100) with all_1_9_9, all_78_0_65, all_100_5_118 and discharging atoms reverse_line(all_1_9_9) = all_100_5_118, reverse_line(all_1_9_9) = all_78_0_65, yields:
% 78.75/39.09 | (780) all_100_5_118 = all_78_0_65
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (104) with all_1_10_10, all_132_2_203, all_132_1_202, all_178_2_297 and discharging atoms unequally_directed_lines(all_1_10_10, all_132_2_203) = all_132_1_202, yields:
% 78.75/39.09 | (781) all_178_2_297 = all_132_1_202 | ~ (unequally_directed_lines(all_1_10_10, all_132_2_203) = all_178_2_297)
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (104) with all_1_10_10, all_132_2_203, all_132_1_202, 0 and discharging atoms unequally_directed_lines(all_1_10_10, all_132_2_203) = all_132_1_202, yields:
% 78.75/39.09 | (782) all_132_1_202 = 0 | ~ (unequally_directed_lines(all_1_10_10, all_132_2_203) = 0)
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (104) with all_1_10_10, all_132_2_203, all_132_1_202, all_136_4_217 and discharging atoms unequally_directed_lines(all_1_10_10, all_132_2_203) = all_132_1_202, yields:
% 78.75/39.09 | (783) all_136_4_217 = all_132_1_202 | ~ (unequally_directed_lines(all_1_10_10, all_132_2_203) = all_136_4_217)
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (104) with all_1_10_10, all_130_3_198, all_130_2_197, all_134_4_211 and discharging atoms unequally_directed_lines(all_1_10_10, all_130_3_198) = all_130_2_197, yields:
% 78.75/39.09 | (784) all_134_4_211 = all_130_2_197 | ~ (unequally_directed_lines(all_1_10_10, all_130_3_198) = all_134_4_211)
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (104) with all_1_10_10, all_120_3_176, all_120_2_175, all_394_2_676 and discharging atoms unequally_directed_lines(all_1_10_10, all_120_3_176) = all_120_2_175, yields:
% 78.75/39.09 | (785) all_394_2_676 = all_120_2_175 | ~ (unequally_directed_lines(all_1_10_10, all_120_3_176) = all_394_2_676)
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (104) with all_1_10_10, all_118_2_169, all_118_0_167, all_136_4_217 and discharging atoms unequally_directed_lines(all_1_10_10, all_118_2_169) = all_118_0_167, yields:
% 78.75/39.09 | (786) all_136_4_217 = all_118_0_167 | ~ (unequally_directed_lines(all_1_10_10, all_118_2_169) = all_136_4_217)
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (104) with all_1_10_10, all_118_2_169, all_118_0_167, all_134_4_211 and discharging atoms unequally_directed_lines(all_1_10_10, all_118_2_169) = all_118_0_167, yields:
% 78.75/39.09 | (787) all_134_4_211 = all_118_0_167 | ~ (unequally_directed_lines(all_1_10_10, all_118_2_169) = all_134_4_211)
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (104) with all_1_10_10, all_118_2_169, all_118_0_167, all_120_2_175 and discharging atoms unequally_directed_lines(all_1_10_10, all_118_2_169) = all_118_0_167, yields:
% 78.75/39.09 | (788) all_120_2_175 = all_118_0_167 | ~ (unequally_directed_lines(all_1_10_10, all_118_2_169) = all_120_2_175)
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (104) with all_1_10_10, all_112_2_151, all_112_1_150, all_118_0_167 and discharging atoms unequally_directed_lines(all_1_10_10, all_112_2_151) = all_112_1_150, yields:
% 78.75/39.09 | (789) all_118_0_167 = all_112_1_150 | ~ (unequally_directed_lines(all_1_10_10, all_112_2_151) = all_118_0_167)
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (104) with all_1_10_10, all_96_3_106, all_96_2_105, all_112_1_150 and discharging atoms unequally_directed_lines(all_1_10_10, all_96_3_106) = all_96_2_105, yields:
% 78.75/39.09 | (790) all_112_1_150 = all_96_2_105 | ~ (unequally_directed_lines(all_1_10_10, all_96_3_106) = all_112_1_150)
% 78.75/39.09 |
% 78.75/39.09 | Instantiating formula (104) with all_1_10_10, all_94_3_100, all_94_2_99, all_130_2_197 and discharging atoms unequally_directed_lines(all_1_10_10, all_94_3_100) = all_94_2_99, yields:
% 78.75/39.09 | (791) all_130_2_197 = all_94_2_99 | ~ (unequally_directed_lines(all_1_10_10, all_94_3_100) = all_130_2_197)
% 78.75/39.09 |
% 78.75/39.09 | Combining equations (738,722) yields a new equation:
% 78.75/39.09 | (792) all_152_0_261 = all_118_2_169
% 78.75/39.09 |
% 78.75/39.09 | Combining equations (739,722) yields a new equation:
% 78.75/39.09 | (793) all_152_0_261 = all_114_5_160
% 78.75/39.09 |
% 78.75/39.09 | Combining equations (732,722) yields a new equation:
% 78.75/39.09 | (794) all_152_0_261 = all_138_5_224
% 78.75/39.09 |
% 78.75/39.09 | Combining equations (721,733) yields a new equation:
% 78.75/39.09 | (795) all_390_3_665 = all_130_5_200
% 78.75/39.09 |
% 78.75/39.09 | Simplifying 795 yields:
% 78.75/39.09 | (796) all_390_3_665 = all_130_5_200
% 78.75/39.09 |
% 78.75/39.09 | Combining equations (725,723) yields a new equation:
% 78.75/39.09 | (797) all_150_3_258 = all_148_5_254
% 78.75/39.09 |
% 78.75/39.09 | Combining equations (728,723) yields a new equation:
% 78.75/39.09 | (798) all_150_3_258 = all_142_5_236
% 78.75/39.09 |
% 78.75/39.09 | Combining equations (796,723) yields a new equation:
% 78.75/39.09 | (799) all_150_3_258 = all_130_5_200
% 78.75/39.09 |
% 78.75/39.09 | Combining equations (752,776) yields a new equation:
% 78.75/39.09 | (800) all_228_3_416 = all_88_3_88
% 78.75/39.09 |
% 78.75/39.09 | Simplifying 800 yields:
% 78.75/39.09 | (801) all_228_3_416 = all_88_3_88
% 78.75/39.09 |
% 78.75/39.09 | Combining equations (754,801) yields a new equation:
% 78.75/39.09 | (802) all_208_4_372 = all_88_3_88
% 78.75/39.09 |
% 78.75/39.09 | Simplifying 802 yields:
% 78.75/39.09 | (803) all_208_4_372 = all_88_3_88
% 78.75/39.09 |
% 78.75/39.09 | Combining equations (753,777) yields a new equation:
% 78.75/39.09 | (804) all_212_3_383 = all_86_3_82
% 78.75/39.09 |
% 78.75/39.09 | Simplifying 804 yields:
% 78.75/39.09 | (805) all_212_3_383 = all_86_3_82
% 78.75/39.09 |
% 78.75/39.09 | Combining equations (755,756) yields a new equation:
% 78.75/39.09 | (806) all_208_4_372 = all_204_3_360
% 78.75/39.09 |
% 78.75/39.09 | Simplifying 806 yields:
% 78.75/39.09 | (807) all_208_4_372 = all_204_3_360
% 78.75/39.09 |
% 78.75/39.09 | Combining equations (757,756) yields a new equation:
% 78.75/39.09 | (808) all_204_3_360 = all_190_3_325
% 78.75/39.09 |
% 78.75/39.09 | Combining equations (759,805) yields a new equation:
% 78.75/39.09 | (809) all_172_4_288 = all_86_3_82
% 78.75/39.09 |
% 78.75/39.09 | Simplifying 809 yields:
% 78.75/39.09 | (810) all_172_4_288 = all_86_3_82
% 78.75/39.09 |
% 78.75/39.09 | Combining equations (807,803) yields a new equation:
% 78.75/39.09 | (811) all_204_3_360 = all_88_3_88
% 78.75/39.09 |
% 78.75/39.09 | Simplifying 811 yields:
% 78.75/39.09 | (812) all_204_3_360 = all_88_3_88
% 78.75/39.09 |
% 78.75/39.09 | Combining equations (808,812) yields a new equation:
% 78.75/39.09 | (813) all_190_3_325 = all_88_3_88
% 78.75/39.09 |
% 78.75/39.09 | Simplifying 813 yields:
% 79.09/39.09 | (814) all_190_3_325 = all_88_3_88
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (772,771) yields a new equation:
% 79.09/39.09 | (815) all_102_5_124 = all_100_5_118
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (768,771) yields a new equation:
% 79.09/39.09 | (816) all_104_5_130 = all_102_5_124
% 79.09/39.09 |
% 79.09/39.09 | Simplifying 816 yields:
% 79.09/39.09 | (817) all_104_5_130 = all_102_5_124
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (758,814) yields a new equation:
% 79.09/39.09 | (818) all_178_3_298 = all_88_3_88
% 79.09/39.09 |
% 79.09/39.09 | Simplifying 818 yields:
% 79.09/39.09 | (819) all_178_3_298 = all_88_3_88
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (765,763) yields a new equation:
% 79.09/39.09 | (820) all_136_5_218 = all_116_4_165
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (760,763) yields a new equation:
% 79.09/39.09 | (821) all_168_3_281 = all_136_5_218
% 79.09/39.09 |
% 79.09/39.09 | Simplifying 821 yields:
% 79.09/39.09 | (822) all_168_3_281 = all_136_5_218
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (761,819) yields a new equation:
% 79.09/39.09 | (823) all_168_3_281 = all_88_3_88
% 79.09/39.09 |
% 79.09/39.09 | Simplifying 823 yields:
% 79.09/39.09 | (824) all_168_3_281 = all_88_3_88
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (769,764) yields a new equation:
% 79.09/39.09 | (825) all_130_3_198 = all_104_5_130
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (767,764) yields a new equation:
% 79.09/39.09 | (826) all_130_3_198 = all_108_5_142
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (810,764) yields a new equation:
% 79.09/39.09 | (827) all_130_3_198 = all_86_3_82
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (822,762) yields a new equation:
% 79.09/39.09 | (828) all_158_4_268 = all_136_5_218
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (824,762) yields a new equation:
% 79.09/39.09 | (829) all_158_4_268 = all_88_3_88
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (737,726) yields a new equation:
% 79.09/39.09 | (830) all_146_3_246 = all_120_3_176
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (729,726) yields a new equation:
% 79.09/39.09 | (831) all_146_3_246 = all_142_5_236
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (828,829) yields a new equation:
% 79.09/39.09 | (832) all_136_5_218 = all_88_3_88
% 79.09/39.09 |
% 79.09/39.09 | Simplifying 832 yields:
% 79.09/39.09 | (833) all_136_5_218 = all_88_3_88
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (724,731) yields a new equation:
% 79.09/39.09 | (834) all_150_5_260 = all_140_5_230
% 79.09/39.09 |
% 79.09/39.09 | Simplifying 834 yields:
% 79.09/39.09 | (835) all_150_5_260 = all_140_5_230
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (793,792) yields a new equation:
% 79.09/39.09 | (836) all_118_2_169 = all_114_5_160
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (794,792) yields a new equation:
% 79.09/39.09 | (837) all_138_5_224 = all_118_2_169
% 79.09/39.09 |
% 79.09/39.09 | Simplifying 837 yields:
% 79.09/39.09 | (838) all_138_5_224 = all_118_2_169
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (798,797) yields a new equation:
% 79.09/39.09 | (839) all_148_5_254 = all_142_5_236
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (799,797) yields a new equation:
% 79.09/39.09 | (840) all_148_5_254 = all_130_5_200
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (835,727) yields a new equation:
% 79.09/39.09 | (841) all_144_3_240 = all_140_5_230
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (730,727) yields a new equation:
% 79.09/39.09 | (842) all_144_3_240 = all_142_5_236
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (839,840) yields a new equation:
% 79.09/39.09 | (843) all_142_5_236 = all_130_5_200
% 79.09/39.09 |
% 79.09/39.09 | Simplifying 843 yields:
% 79.09/39.09 | (844) all_142_5_236 = all_130_5_200
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (831,830) yields a new equation:
% 79.09/39.09 | (845) all_142_5_236 = all_120_3_176
% 79.09/39.09 |
% 79.09/39.09 | Simplifying 845 yields:
% 79.09/39.09 | (846) all_142_5_236 = all_120_3_176
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (842,841) yields a new equation:
% 79.09/39.09 | (847) all_142_5_236 = all_140_5_230
% 79.09/39.09 |
% 79.09/39.09 | Simplifying 847 yields:
% 79.09/39.09 | (848) all_142_5_236 = all_140_5_230
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (844,848) yields a new equation:
% 79.09/39.09 | (849) all_140_5_230 = all_130_5_200
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (735,848) yields a new equation:
% 79.09/39.09 | (850) all_140_5_230 = all_126_4_188
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (846,848) yields a new equation:
% 79.09/39.09 | (851) all_140_5_230 = all_120_3_176
% 79.09/39.09 |
% 79.09/39.09 | Combining equations (740,848) yields a new equation:
% 79.09/39.09 | (852) all_140_5_230 = all_114_5_160
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (850,849) yields a new equation:
% 79.09/39.10 | (853) all_130_5_200 = all_126_4_188
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (851,849) yields a new equation:
% 79.09/39.10 | (854) all_130_5_200 = all_120_3_176
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (852,849) yields a new equation:
% 79.09/39.10 | (855) all_130_5_200 = all_114_5_160
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (838,742) yields a new equation:
% 79.09/39.10 | (856) all_118_2_169 = all_110_5_148
% 79.09/39.10 |
% 79.09/39.10 | Simplifying 856 yields:
% 79.09/39.10 | (857) all_118_2_169 = all_110_5_148
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (820,833) yields a new equation:
% 79.09/39.10 | (858) all_116_4_165 = all_88_3_88
% 79.09/39.10 |
% 79.09/39.10 | Simplifying 858 yields:
% 79.09/39.10 | (859) all_116_4_165 = all_88_3_88
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (734,748) yields a new equation:
% 79.09/39.10 | (860) all_128_5_194 = all_94_3_100
% 79.09/39.10 |
% 79.09/39.10 | Simplifying 860 yields:
% 79.09/39.10 | (861) all_128_5_194 = all_94_3_100
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (766,770) yields a new equation:
% 79.09/39.10 | (862) all_116_4_165 = all_102_3_122
% 79.09/39.10 |
% 79.09/39.10 | Simplifying 862 yields:
% 79.09/39.10 | (863) all_116_4_165 = all_102_3_122
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (773,770) yields a new equation:
% 79.09/39.10 | (864) all_102_3_122 = all_100_5_118
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (825,826) yields a new equation:
% 79.09/39.10 | (865) all_108_5_142 = all_104_5_130
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (827,826) yields a new equation:
% 79.09/39.10 | (866) all_108_5_142 = all_86_3_82
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (853,854) yields a new equation:
% 79.09/39.10 | (867) all_126_4_188 = all_120_3_176
% 79.09/39.10 |
% 79.09/39.10 | Simplifying 867 yields:
% 79.09/39.10 | (868) all_126_4_188 = all_120_3_176
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (855,854) yields a new equation:
% 79.09/39.10 | (869) all_120_3_176 = all_114_5_160
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (736,861) yields a new equation:
% 79.09/39.10 | (870) all_124_3_183 = all_94_3_100
% 79.09/39.10 |
% 79.09/39.10 | Simplifying 870 yields:
% 79.09/39.10 | (871) all_124_3_183 = all_94_3_100
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (868,749) yields a new equation:
% 79.09/39.10 | (872) all_120_3_176 = all_92_4_96
% 79.09/39.10 |
% 79.09/39.10 | Simplifying 872 yields:
% 79.09/39.10 | (873) all_120_3_176 = all_92_4_96
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (743,871) yields a new equation:
% 79.09/39.10 | (874) all_96_3_106 = all_94_3_100
% 79.09/39.10 |
% 79.09/39.10 | Simplifying 874 yields:
% 79.09/39.10 | (875) all_96_3_106 = all_94_3_100
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (869,873) yields a new equation:
% 79.09/39.10 | (876) all_114_5_160 = all_92_4_96
% 79.09/39.10 |
% 79.09/39.10 | Simplifying 876 yields:
% 79.09/39.10 | (877) all_114_5_160 = all_92_4_96
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (836,857) yields a new equation:
% 79.09/39.10 | (878) all_114_5_160 = all_110_5_148
% 79.09/39.10 |
% 79.09/39.10 | Simplifying 878 yields:
% 79.09/39.10 | (879) all_114_5_160 = all_110_5_148
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (744,751) yields a new equation:
% 79.09/39.10 | (880) all_96_3_106 = all_82_3_70
% 79.09/39.10 |
% 79.09/39.10 | Simplifying 880 yields:
% 79.09/39.10 | (881) all_96_3_106 = all_82_3_70
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (863,859) yields a new equation:
% 79.09/39.10 | (882) all_102_3_122 = all_88_3_88
% 79.09/39.10 |
% 79.09/39.10 | Simplifying 882 yields:
% 79.09/39.10 | (883) all_102_3_122 = all_88_3_88
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (745,741) yields a new equation:
% 79.09/39.10 | (884) all_112_2_151 = all_96_3_106
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (750,741) yields a new equation:
% 79.09/39.10 | (885) all_112_2_151 = all_84_2_75
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (746,879) yields a new equation:
% 79.09/39.10 | (886) all_110_5_148 = all_96_3_106
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (877,879) yields a new equation:
% 79.09/39.10 | (887) all_110_5_148 = all_92_4_96
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (884,885) yields a new equation:
% 79.09/39.10 | (888) all_96_3_106 = all_84_2_75
% 79.09/39.10 |
% 79.09/39.10 | Simplifying 888 yields:
% 79.09/39.10 | (889) all_96_3_106 = all_84_2_75
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (886,887) yields a new equation:
% 79.09/39.10 | (890) all_96_3_106 = all_92_4_96
% 79.09/39.10 |
% 79.09/39.10 | Simplifying 890 yields:
% 79.09/39.10 | (891) all_96_3_106 = all_92_4_96
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (865,866) yields a new equation:
% 79.09/39.10 | (892) all_104_5_130 = all_86_3_82
% 79.09/39.10 |
% 79.09/39.10 | Simplifying 892 yields:
% 79.09/39.10 | (893) all_104_5_130 = all_86_3_82
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (774,779) yields a new equation:
% 79.09/39.10 | (894) all_100_5_118 = all_82_5_72
% 79.09/39.10 |
% 79.09/39.10 | Simplifying 894 yields:
% 79.09/39.10 | (895) all_100_5_118 = all_82_5_72
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (817,893) yields a new equation:
% 79.09/39.10 | (896) all_102_5_124 = all_86_3_82
% 79.09/39.10 |
% 79.09/39.10 | Simplifying 896 yields:
% 79.09/39.10 | (897) all_102_5_124 = all_86_3_82
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (864,883) yields a new equation:
% 79.09/39.10 | (898) all_100_5_118 = all_88_3_88
% 79.09/39.10 |
% 79.09/39.10 | Simplifying 898 yields:
% 79.09/39.10 | (899) all_100_5_118 = all_88_3_88
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (815,897) yields a new equation:
% 79.09/39.10 | (900) all_100_5_118 = all_86_3_82
% 79.09/39.10 |
% 79.09/39.10 | Simplifying 900 yields:
% 79.09/39.10 | (901) all_100_5_118 = all_86_3_82
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (778,775) yields a new equation:
% 79.09/39.10 | (902) all_98_5_112 = all_84_5_78
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (780,775) yields a new equation:
% 79.09/39.10 | (903) all_98_5_112 = all_78_0_65
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (895,775) yields a new equation:
% 79.09/39.10 | (904) all_98_5_112 = all_82_5_72
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (901,775) yields a new equation:
% 79.09/39.10 | (905) all_98_5_112 = all_86_3_82
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (899,775) yields a new equation:
% 79.09/39.10 | (906) all_98_5_112 = all_88_3_88
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (902,906) yields a new equation:
% 79.09/39.10 | (907) all_88_3_88 = all_84_5_78
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (904,906) yields a new equation:
% 79.09/39.10 | (908) all_88_3_88 = all_82_5_72
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (903,906) yields a new equation:
% 79.09/39.10 | (909) all_88_3_88 = all_78_0_65
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (905,906) yields a new equation:
% 79.09/39.10 | (910) all_88_3_88 = all_86_3_82
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (881,875) yields a new equation:
% 79.09/39.10 | (911) all_94_3_100 = all_82_3_70
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (889,875) yields a new equation:
% 79.09/39.10 | (912) all_94_3_100 = all_84_2_75
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (891,875) yields a new equation:
% 79.09/39.10 | (913) all_94_3_100 = all_92_4_96
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (911,913) yields a new equation:
% 79.09/39.10 | (914) all_92_4_96 = all_82_3_70
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (912,913) yields a new equation:
% 79.09/39.10 | (915) all_92_4_96 = all_84_2_75
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (915,914) yields a new equation:
% 79.09/39.10 | (916) all_84_2_75 = all_82_3_70
% 79.09/39.10 |
% 79.09/39.10 | Simplifying 916 yields:
% 79.09/39.10 | (917) all_84_2_75 = all_82_3_70
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (907,910) yields a new equation:
% 79.09/39.10 | (918) all_86_3_82 = all_84_5_78
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (909,910) yields a new equation:
% 79.09/39.10 | (919) all_86_3_82 = all_78_0_65
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (908,910) yields a new equation:
% 79.09/39.10 | (920) all_86_3_82 = all_82_5_72
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (919,918) yields a new equation:
% 79.09/39.10 | (921) all_84_5_78 = all_78_0_65
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (920,918) yields a new equation:
% 79.09/39.10 | (922) all_84_5_78 = all_82_5_72
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (921,922) yields a new equation:
% 79.09/39.10 | (923) all_82_5_72 = all_78_0_65
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (923,922) yields a new equation:
% 79.09/39.10 | (921) all_84_5_78 = all_78_0_65
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (921,918) yields a new equation:
% 79.09/39.10 | (919) all_86_3_82 = all_78_0_65
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (919,910) yields a new equation:
% 79.09/39.10 | (909) all_88_3_88 = all_78_0_65
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (914,913) yields a new equation:
% 79.09/39.10 | (911) all_94_3_100 = all_82_3_70
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (911,875) yields a new equation:
% 79.09/39.10 | (881) all_96_3_106 = all_82_3_70
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (909,883) yields a new equation:
% 79.09/39.10 | (929) all_102_3_122 = all_78_0_65
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (919,866) yields a new equation:
% 79.09/39.10 | (930) all_108_5_142 = all_78_0_65
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (914,887) yields a new equation:
% 79.09/39.10 | (931) all_110_5_148 = all_82_3_70
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (917,885) yields a new equation:
% 79.09/39.10 | (932) all_112_2_151 = all_82_3_70
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (931,857) yields a new equation:
% 79.09/39.10 | (933) all_118_2_169 = all_82_3_70
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (914,873) yields a new equation:
% 79.09/39.10 | (934) all_120_3_176 = all_82_3_70
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (930,826) yields a new equation:
% 79.09/39.10 | (935) all_130_3_198 = all_78_0_65
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (929,770) yields a new equation:
% 79.09/39.10 | (936) all_132_2_203 = all_78_0_65
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (911,748) yields a new equation:
% 79.09/39.10 | (937) all_134_5_212 = all_82_3_70
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (909,833) yields a new equation:
% 79.09/39.10 | (938) all_136_5_218 = all_78_0_65
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (933,792) yields a new equation:
% 79.09/39.10 | (939) all_152_0_261 = all_82_3_70
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (909,819) yields a new equation:
% 79.09/39.10 | (940) all_178_3_298 = all_78_0_65
% 79.09/39.10 |
% 79.09/39.10 | Combining equations (939,722) yields a new equation:
% 79.09/39.10 | (941) all_394_3_677 = all_82_3_70
% 79.09/39.10 |
% 79.09/39.10 | From (881) and (378) follows:
% 79.09/39.10 | (942) left_convergent_lines(all_1_10_10, all_82_3_70) = all_96_0_103
% 79.09/39.10 |
% 79.09/39.10 | From (941) and (716) follows:
% 79.09/39.10 | (943) unequally_directed_lines(all_1_10_10, all_82_3_70) = all_394_2_676
% 79.09/39.10 |
% 79.09/39.10 | From (940) and (619) follows:
% 79.09/39.10 | (944) unequally_directed_lines(all_1_10_10, all_78_0_65) = all_178_2_297
% 79.09/39.10 |
% 79.09/39.10 | From (939) and (589) follows:
% 79.09/39.10 | (945) unequally_directed_lines(all_1_10_10, all_82_3_70) = 0
% 79.09/39.10 |
% 79.09/39.10 | From (938) and (529) follows:
% 79.09/39.10 | (946) unequally_directed_lines(all_1_10_10, all_78_0_65) = all_136_4_217
% 79.09/39.10 |
% 79.09/39.10 | From (937) and (519) follows:
% 79.09/39.10 | (947) unequally_directed_lines(all_1_10_10, all_82_3_70) = all_134_4_211
% 79.09/39.10 |
% 79.09/39.10 | From (934) and (472) follows:
% 79.09/39.10 | (948) unequally_directed_lines(all_1_10_10, all_82_3_70) = all_120_2_175
% 79.09/39.10 |
% 79.09/39.10 | From (932) and (439) follows:
% 79.09/39.10 | (949) unequally_directed_lines(all_1_10_10, all_82_3_70) = all_112_1_150
% 79.09/39.10 |
% 79.09/39.10 | From (911) and (375) follows:
% 79.09/39.10 | (950) unequally_directed_lines(all_1_10_10, all_82_3_70) = all_94_2_99
% 79.09/39.10 |
% 79.09/39.10 | From (881) and (747) follows:
% 79.09/39.10 | (951) ~ (left_convergent_lines(all_1_10_10, all_82_3_70) = 0)
% 79.09/39.10 |
% 79.09/39.10 +-Applying beta-rule and splitting (788), into two cases.
% 79.09/39.10 |-Branch one:
% 79.09/39.10 | (952) ~ (unequally_directed_lines(all_1_10_10, all_118_2_169) = all_120_2_175)
% 79.09/39.10 |
% 79.09/39.10 | From (933) and (952) follows:
% 79.09/39.10 | (953) ~ (unequally_directed_lines(all_1_10_10, all_82_3_70) = all_120_2_175)
% 79.09/39.10 |
% 79.09/39.10 | Using (948) and (953) yields:
% 79.09/39.10 | (264) $false
% 79.09/39.10 |
% 79.09/39.10 |-The branch is then unsatisfiable
% 79.09/39.10 |-Branch two:
% 79.09/39.10 | (955) unequally_directed_lines(all_1_10_10, all_118_2_169) = all_120_2_175
% 79.09/39.10 | (956) all_120_2_175 = all_118_0_167
% 79.09/39.10 |
% 79.09/39.10 +-Applying beta-rule and splitting (787), into two cases.
% 79.09/39.10 |-Branch one:
% 79.09/39.10 | (957) ~ (unequally_directed_lines(all_1_10_10, all_118_2_169) = all_134_4_211)
% 79.09/39.10 |
% 79.09/39.10 | From (933) and (957) follows:
% 79.09/39.10 | (958) ~ (unequally_directed_lines(all_1_10_10, all_82_3_70) = all_134_4_211)
% 79.09/39.10 |
% 79.09/39.10 | Using (947) and (958) yields:
% 79.09/39.10 | (264) $false
% 79.09/39.10 |
% 79.09/39.10 |-The branch is then unsatisfiable
% 79.09/39.10 |-Branch two:
% 79.09/39.10 | (960) unequally_directed_lines(all_1_10_10, all_118_2_169) = all_134_4_211
% 79.09/39.11 | (961) all_134_4_211 = all_118_0_167
% 79.09/39.11 |
% 79.09/39.11 +-Applying beta-rule and splitting (782), into two cases.
% 79.09/39.11 |-Branch one:
% 79.09/39.11 | (962) ~ (unequally_directed_lines(all_1_10_10, all_132_2_203) = 0)
% 79.09/39.11 |
% 79.09/39.11 | From (936) and (962) follows:
% 79.09/39.11 | (963) ~ (unequally_directed_lines(all_1_10_10, all_78_0_65) = 0)
% 79.09/39.11 |
% 79.09/39.11 | Using (328) and (963) yields:
% 79.09/39.11 | (264) $false
% 79.09/39.11 |
% 79.09/39.11 |-The branch is then unsatisfiable
% 79.09/39.11 |-Branch two:
% 79.09/39.11 | (965) unequally_directed_lines(all_1_10_10, all_132_2_203) = 0
% 79.09/39.11 | (966) all_132_1_202 = 0
% 79.09/39.11 |
% 79.09/39.11 +-Applying beta-rule and splitting (783), into two cases.
% 79.09/39.11 |-Branch one:
% 79.09/39.11 | (967) ~ (unequally_directed_lines(all_1_10_10, all_132_2_203) = all_136_4_217)
% 79.09/39.11 |
% 79.09/39.11 | From (936) and (967) follows:
% 79.09/39.11 | (968) ~ (unequally_directed_lines(all_1_10_10, all_78_0_65) = all_136_4_217)
% 79.09/39.11 |
% 79.09/39.11 | Using (946) and (968) yields:
% 79.09/39.11 | (264) $false
% 79.09/39.11 |
% 79.09/39.11 |-The branch is then unsatisfiable
% 79.09/39.11 |-Branch two:
% 79.09/39.11 | (970) unequally_directed_lines(all_1_10_10, all_132_2_203) = all_136_4_217
% 79.09/39.11 | (971) all_136_4_217 = all_132_1_202
% 79.09/39.11 |
% 79.09/39.11 | Combining equations (966,971) yields a new equation:
% 79.09/39.11 | (972) all_136_4_217 = 0
% 79.09/39.11 |
% 79.09/39.11 +-Applying beta-rule and splitting (786), into two cases.
% 79.09/39.11 |-Branch one:
% 79.09/39.11 | (973) ~ (unequally_directed_lines(all_1_10_10, all_118_2_169) = all_136_4_217)
% 79.09/39.11 |
% 79.09/39.11 | From (933)(972) and (973) follows:
% 79.09/39.11 | (974) ~ (unequally_directed_lines(all_1_10_10, all_82_3_70) = 0)
% 79.09/39.11 |
% 79.09/39.11 | Using (945) and (974) yields:
% 79.09/39.11 | (264) $false
% 79.09/39.11 |
% 79.09/39.11 |-The branch is then unsatisfiable
% 79.09/39.11 |-Branch two:
% 79.09/39.11 | (976) unequally_directed_lines(all_1_10_10, all_118_2_169) = all_136_4_217
% 79.09/39.11 | (977) all_136_4_217 = all_118_0_167
% 79.09/39.11 |
% 79.09/39.11 | Combining equations (972,977) yields a new equation:
% 79.09/39.11 | (978) all_118_0_167 = 0
% 79.09/39.11 |
% 79.09/39.11 | Combining equations (978,956) yields a new equation:
% 79.09/39.11 | (979) all_120_2_175 = 0
% 79.09/39.11 |
% 79.09/39.11 | Combining equations (978,961) yields a new equation:
% 79.09/39.11 | (980) all_134_4_211 = 0
% 79.09/39.11 |
% 79.09/39.11 +-Applying beta-rule and splitting (781), into two cases.
% 79.09/39.11 |-Branch one:
% 79.09/39.11 | (981) ~ (unequally_directed_lines(all_1_10_10, all_132_2_203) = all_178_2_297)
% 79.09/39.11 |
% 79.09/39.11 | From (936) and (981) follows:
% 79.09/39.11 | (982) ~ (unequally_directed_lines(all_1_10_10, all_78_0_65) = all_178_2_297)
% 79.09/39.11 |
% 79.09/39.11 | Using (944) and (982) yields:
% 79.09/39.11 | (264) $false
% 79.09/39.11 |
% 79.09/39.11 |-The branch is then unsatisfiable
% 79.09/39.11 |-Branch two:
% 79.09/39.11 | (984) unequally_directed_lines(all_1_10_10, all_132_2_203) = all_178_2_297
% 79.09/39.11 | (985) all_178_2_297 = all_132_1_202
% 79.09/39.11 |
% 79.09/39.11 | Combining equations (966,985) yields a new equation:
% 79.09/39.11 | (986) all_178_2_297 = 0
% 79.09/39.11 |
% 79.09/39.11 | From (986) and (944) follows:
% 79.09/39.11 | (328) unequally_directed_lines(all_1_10_10, all_78_0_65) = 0
% 79.09/39.11 |
% 79.09/39.11 +-Applying beta-rule and splitting (784), into two cases.
% 79.09/39.11 |-Branch one:
% 79.09/39.11 | (988) ~ (unequally_directed_lines(all_1_10_10, all_130_3_198) = all_134_4_211)
% 79.09/39.11 |
% 79.09/39.11 | From (935)(980) and (988) follows:
% 79.09/39.11 | (963) ~ (unequally_directed_lines(all_1_10_10, all_78_0_65) = 0)
% 79.09/39.11 |
% 79.09/39.11 | Using (328) and (963) yields:
% 79.09/39.11 | (264) $false
% 79.09/39.11 |
% 79.09/39.11 |-The branch is then unsatisfiable
% 79.09/39.11 |-Branch two:
% 79.09/39.11 | (991) unequally_directed_lines(all_1_10_10, all_130_3_198) = all_134_4_211
% 79.09/39.11 | (992) all_134_4_211 = all_130_2_197
% 79.09/39.11 |
% 79.09/39.11 | Combining equations (992,980) yields a new equation:
% 79.09/39.11 | (993) all_130_2_197 = 0
% 79.09/39.11 |
% 79.09/39.11 | Simplifying 993 yields:
% 79.09/39.11 | (994) all_130_2_197 = 0
% 79.09/39.11 |
% 79.09/39.11 +-Applying beta-rule and splitting (785), into two cases.
% 79.09/39.11 |-Branch one:
% 79.09/39.11 | (995) ~ (unequally_directed_lines(all_1_10_10, all_120_3_176) = all_394_2_676)
% 79.09/39.11 |
% 79.09/39.11 | From (934) and (995) follows:
% 79.09/39.11 | (996) ~ (unequally_directed_lines(all_1_10_10, all_82_3_70) = all_394_2_676)
% 79.09/39.11 |
% 79.09/39.11 | Using (943) and (996) yields:
% 79.09/39.11 | (264) $false
% 79.09/39.11 |
% 79.09/39.11 |-The branch is then unsatisfiable
% 79.09/39.11 |-Branch two:
% 79.09/39.11 | (998) unequally_directed_lines(all_1_10_10, all_120_3_176) = all_394_2_676
% 79.09/39.11 | (999) all_394_2_676 = all_120_2_175
% 79.09/39.11 |
% 79.09/39.11 | Combining equations (979,999) yields a new equation:
% 79.09/39.11 | (1000) all_394_2_676 = 0
% 79.09/39.11 |
% 79.09/39.11 | From (1000) and (943) follows:
% 79.09/39.11 | (945) unequally_directed_lines(all_1_10_10, all_82_3_70) = 0
% 79.09/39.11 |
% 79.09/39.11 +-Applying beta-rule and splitting (791), into two cases.
% 79.09/39.11 |-Branch one:
% 79.09/39.11 | (1002) ~ (unequally_directed_lines(all_1_10_10, all_94_3_100) = all_130_2_197)
% 79.09/39.11 |
% 79.09/39.11 | From (911)(994) and (1002) follows:
% 79.09/39.11 | (974) ~ (unequally_directed_lines(all_1_10_10, all_82_3_70) = 0)
% 79.09/39.11 |
% 79.09/39.11 | Using (945) and (974) yields:
% 79.09/39.11 | (264) $false
% 79.09/39.11 |
% 79.09/39.11 |-The branch is then unsatisfiable
% 79.09/39.11 |-Branch two:
% 79.09/39.11 | (1005) unequally_directed_lines(all_1_10_10, all_94_3_100) = all_130_2_197
% 79.09/39.11 | (1006) all_130_2_197 = all_94_2_99
% 79.09/39.11 |
% 79.09/39.11 | Combining equations (994,1006) yields a new equation:
% 79.09/39.11 | (1007) all_94_2_99 = 0
% 79.09/39.11 |
% 79.09/39.11 | From (1007) and (950) follows:
% 79.09/39.11 | (945) unequally_directed_lines(all_1_10_10, all_82_3_70) = 0
% 79.09/39.11 |
% 79.09/39.11 +-Applying beta-rule and splitting (790), into two cases.
% 79.09/39.11 |-Branch one:
% 79.09/39.11 | (1009) ~ (unequally_directed_lines(all_1_10_10, all_96_3_106) = all_112_1_150)
% 79.09/39.11 |
% 79.09/39.11 | From (881) and (1009) follows:
% 79.09/39.11 | (1010) ~ (unequally_directed_lines(all_1_10_10, all_82_3_70) = all_112_1_150)
% 79.09/39.11 |
% 79.09/39.11 | Using (949) and (1010) yields:
% 79.09/39.11 | (264) $false
% 79.09/39.11 |
% 79.09/39.11 |-The branch is then unsatisfiable
% 79.09/39.11 |-Branch two:
% 79.09/39.11 | (1012) unequally_directed_lines(all_1_10_10, all_96_3_106) = all_112_1_150
% 79.09/39.11 | (1013) all_112_1_150 = all_96_2_105
% 79.09/39.11 |
% 79.09/39.11 +-Applying beta-rule and splitting (789), into two cases.
% 79.09/39.11 |-Branch one:
% 79.09/39.11 | (1014) ~ (unequally_directed_lines(all_1_10_10, all_112_2_151) = all_118_0_167)
% 79.09/39.11 |
% 79.09/39.11 | From (932)(978) and (1014) follows:
% 79.09/39.11 | (974) ~ (unequally_directed_lines(all_1_10_10, all_82_3_70) = 0)
% 79.09/39.11 |
% 79.09/39.11 | Using (945) and (974) yields:
% 79.09/39.11 | (264) $false
% 79.09/39.11 |
% 79.09/39.11 |-The branch is then unsatisfiable
% 79.09/39.11 |-Branch two:
% 79.09/39.11 | (1017) unequally_directed_lines(all_1_10_10, all_112_2_151) = all_118_0_167
% 79.09/39.11 | (1018) all_118_0_167 = all_112_1_150
% 79.09/39.11 |
% 79.09/39.11 | Combining equations (978,1018) yields a new equation:
% 79.09/39.11 | (1019) all_112_1_150 = 0
% 79.09/39.11 |
% 79.09/39.11 | Combining equations (1013,1019) yields a new equation:
% 79.09/39.11 | (1020) all_96_2_105 = 0
% 79.09/39.11 |
% 79.09/39.11 | Simplifying 1020 yields:
% 79.09/39.11 | (1021) all_96_2_105 = 0
% 79.09/39.11 |
% 79.09/39.11 | Using (942) and (951) yields:
% 79.09/39.11 | (1022) ~ (all_96_0_103 = 0)
% 79.09/39.11 |
% 79.09/39.11 | Using (381) and (720) yields:
% 79.09/39.11 | (1023) ~ (all_96_1_104 = 0)
% 79.09/39.11 |
% 79.09/39.11 +-Applying beta-rule and splitting (379), into two cases.
% 79.09/39.11 |-Branch one:
% 79.09/39.11 | (1024) ~ (all_96_2_105 = 0)
% 79.09/39.11 |
% 79.09/39.11 | Equations (1021) can reduce 1024 to:
% 79.09/39.11 | (1025) $false
% 79.09/39.11 |
% 79.09/39.11 |-The branch is then unsatisfiable
% 79.09/39.11 |-Branch two:
% 79.09/39.11 | (1021) all_96_2_105 = 0
% 79.09/39.11 | (1027) all_96_0_103 = 0 | all_96_1_104 = 0
% 79.09/39.11 |
% 79.09/39.11 +-Applying beta-rule and splitting (1027), into two cases.
% 79.09/39.11 |-Branch one:
% 79.09/39.11 | (1028) all_96_0_103 = 0
% 79.09/39.11 |
% 79.09/39.11 | Equations (1028) can reduce 1022 to:
% 79.09/39.11 | (1025) $false
% 79.09/39.11 |
% 79.09/39.11 |-The branch is then unsatisfiable
% 79.09/39.11 |-Branch two:
% 79.09/39.11 | (1022) ~ (all_96_0_103 = 0)
% 79.09/39.11 | (1031) all_96_1_104 = 0
% 79.09/39.11 |
% 79.09/39.11 | Equations (1031) can reduce 1023 to:
% 79.09/39.11 | (1025) $false
% 79.09/39.11 |
% 79.09/39.11 |-The branch is then unsatisfiable
% 79.09/39.11 % SZS output end Proof for theBenchmark
% 79.09/39.11
% 79.09/39.11 38464ms
%------------------------------------------------------------------------------