TSTP Solution File: GEO233+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : GEO233+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 03:49:02 EDT 2022
% Result : Theorem 20.60s 5.51s
% Output : Proof 44.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO233+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.12/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 13:42:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.55/0.58 ____ _
% 0.55/0.58 ___ / __ \_____(_)___ ________ __________
% 0.55/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.55/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.55/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.55/0.58
% 0.55/0.58 A Theorem Prover for First-Order Logic
% 0.55/0.58 (ePrincess v.1.0)
% 0.55/0.58
% 0.55/0.58 (c) Philipp Rümmer, 2009-2015
% 0.55/0.58 (c) Peter Backeman, 2014-2015
% 0.55/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.55/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.55/0.58 Bug reports to peter@backeman.se
% 0.55/0.58
% 0.55/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.55/0.58
% 0.55/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.61/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.78/0.98 Prover 0: Preprocessing ...
% 2.63/1.24 Prover 0: Warning: ignoring some quantifiers
% 2.63/1.27 Prover 0: Constructing countermodel ...
% 3.50/1.51 Prover 0: gave up
% 3.50/1.51 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 3.76/1.55 Prover 1: Preprocessing ...
% 4.56/1.71 Prover 1: Constructing countermodel ...
% 4.56/1.75 Prover 1: gave up
% 4.56/1.75 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 4.91/1.78 Prover 2: Preprocessing ...
% 5.87/2.04 Prover 2: Warning: ignoring some quantifiers
% 5.87/2.06 Prover 2: Constructing countermodel ...
% 14.25/3.99 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 14.25/4.03 Prover 3: Preprocessing ...
% 14.49/4.08 Prover 3: Warning: ignoring some quantifiers
% 14.49/4.08 Prover 3: Constructing countermodel ...
% 14.98/4.16 Prover 3: gave up
% 14.98/4.16 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 14.98/4.18 Prover 4: Preprocessing ...
% 15.76/4.34 Prover 4: Warning: ignoring some quantifiers
% 15.79/4.35 Prover 4: Constructing countermodel ...
% 19.25/5.19 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 19.39/5.23 Prover 5: Preprocessing ...
% 19.77/5.37 Prover 5: Constructing countermodel ...
% 20.60/5.51 Prover 5: proved (319ms)
% 20.60/5.51 Prover 4: stopped
% 20.60/5.51 Prover 2: stopped
% 20.60/5.51
% 20.60/5.51 No countermodel exists, formula is valid
% 20.60/5.51 % SZS status Theorem for theBenchmark
% 20.60/5.51
% 20.60/5.51 Generating proof ... found it (size 886)
% 42.65/15.22
% 42.65/15.22 % SZS output start Proof for theBenchmark
% 42.65/15.23 Assumed formulas after preprocessing and simplification:
% 42.65/15.23 | (0) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | v6 = 0 | ~ (reverse_line(v3) = v5) | ~ (reverse_line(v2) = v4) | ~ (left_apart_point(v1, v5) = v7) | ~ (left_apart_point(v0, v5) = v6) | ? [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 | ~ (reverse_line(v3) = v6) | ~ (reverse_line(v2) = v4) | ~ (left_apart_point(v1, v6) = v7) | ~ (left_apart_point(v0, v4) = v5) | ? [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 | ~ (reverse_line(v3) = v6) | ~ (reverse_line(v2) = v4) | ~ (left_apart_point(v1, v4) = v5) | ~ (left_apart_point(v0, v6) = v7) | ? [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 | ~ (reverse_line(v3) = v6) | ~ (reverse_line(v2) = v5) | ~ (left_apart_point(v1, v6) = v7) | ~ (left_apart_point(v0, v3) = v4) | ? [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 | ~ (reverse_line(v3) = v6) | ~ (reverse_line(v2) = v5) | ~ (left_apart_point(v1, v3) = v4) | ~ (left_apart_point(v0, v6) = v7) | ? [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 | ~ (reverse_line(v3) = v7) | ~ (reverse_line(v2) = v4) | ~ (left_apart_point(v1, v4) = v6) | ~ (left_apart_point(v0, v4) = 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) = 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 | ~ (reverse_line(v3) = v7) | ~ (reverse_line(v2) = v5) | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, 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) = 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 | ~ (reverse_line(v3) = v7) | ~ (reverse_line(v2) = v5) | ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v5) = v6) | ? [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) | ~ (reverse_line(v3) = v4) | ~ (left_apart_point(v1, v4) = v6) | ~ (left_apart_point(v0, v4) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & reverse_line(v2) = v12 & 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 & ( ~ (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) | ~ (reverse_line(v2) = v4) | ~ (left_apart_point(v1, v4) = v6) | ~ (left_apart_point(v0, v4) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & reverse_line(v3) = v12 & 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 & ( ~ (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) | ~ (reverse_line(v3) = v5) | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v3) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & reverse_line(v2) = v11 & 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 & ( ~ (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) | ~ (reverse_line(v3) = v5) | ~ (left_apart_point(v1, v3) = v4) | ~ (left_apart_point(v0, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & reverse_line(v2) = v11 & 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 & ( ~ (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) | ~ (reverse_line(v2) = v5) | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v2) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & reverse_line(v3) = v12 & 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 & ( ~ (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) | ~ (reverse_line(v2) = v5) | ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & reverse_line(v3) = v12 & 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 & ( ~ (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 | ~ (reverse_line(v3) = v5) | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v2) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & reverse_line(v2) = v12 & 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 & ( ~ (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 | ~ (reverse_line(v3) = v5) | ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & reverse_line(v2) = v12 & 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 & ( ~ (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 | ~ (reverse_line(v2) = v5) | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v3) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & reverse_line(v3) = v13 & 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 & ( ~ (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 | ~ (reverse_line(v2) = v5) | ~ (left_apart_point(v1, v3) = v4) | ~ (left_apart_point(v0, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & reverse_line(v3) = v13 & 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 & ( ~ (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 | ~ (reverse_line(v3) = v6) | ~ (left_apart_point(v1, v2) = v5) | ~ (left_apart_point(v0, v2) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & reverse_line(v2) = v11 & 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 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v10 = 0 | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | v4 = 0 | ~ (reverse_line(v2) = v6) | ~ (left_apart_point(v1, v3) = v5) | ~ (left_apart_point(v0, v3) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & reverse_line(v3) = v13 & 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 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v12 = 0 | v11 = 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 & reverse_line(v3) = v12 & reverse_line(v2) = v9 & 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 & ( ~ (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 & reverse_line(v3) = v12 & reverse_line(v2) = v9 & 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 & ( ~ (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 & reverse_line(v3) = v12 & reverse_line(v2) = v9 & 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 & ( ~ (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 & reverse_line(v3) = v12 & reverse_line(v2) = v9 & 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 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (reverse_line(v0) = v3) | ~ (left_apart_point(v2, v3) = v5) | ~ (left_apart_point(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v11 & line_connecting(v1, v2) = v9 & unequally_directed_lines(v0, v9) = v10 & left_apart_point(v2, v0) = v8 & left_apart_point(v1, v0) = v7 & ( ~ (v6 = 0) | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (reverse_line(v0) = v3) | ~ (left_apart_point(v2, v0) = v5) | ~ (left_apart_point(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v11 & line_connecting(v1, v2) = v9 & unequally_directed_lines(v0, v9) = v10 & left_apart_point(v2, v3) = v8 & left_apart_point(v1, v0) = v7 & ( ~ (v6 = 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 & reverse_line(v3) = v13 & reverse_line(v2) = v10 & 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 & ( ~ (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 & reverse_line(v3) = v13 & reverse_line(v2) = v10 & 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 & ( ~ (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) | ~ (reverse_line(v2) = v4) | ~ (left_apart_point(v0, v4) = v5) | ? [v6] : ? [v7] : (unequally_directed_lines(v1, v2) = v7 & left_apart_point(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v3 = 0 | ~ (reverse_line(v0) = v4) | ~ (left_apart_point(v2, v4) = v5) | ~ (left_apart_point(v1, v0) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v11 & line_connecting(v1, v2) = v9 & unequally_directed_lines(v0, v9) = v10 & left_apart_point(v2, v0) = v8 & left_apart_point(v1, v4) = v7 & ( ~ (v6 = 0) | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (reverse_line(v3) = v5) | ~ (left_apart_point(v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & reverse_line(v2) = v10 & 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 & ( ~ (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) | ~ (reverse_line(v3) = v5) | ~ (left_apart_point(v0, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & reverse_line(v2) = v10 & 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 & ( ~ (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) | ~ (reverse_line(v2) = v5) | ~ (left_apart_point(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & reverse_line(v3) = v12 & 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 & ( ~ (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) | ~ (reverse_line(v2) = v5) | ~ (left_apart_point(v0, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & reverse_line(v3) = v12 & 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 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 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] : ( ~ (unequally_directed_lines(v1, v4) = v5) | ~ (unequally_directed_lines(v0, v2) = v3) | ~ (reverse_line(v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (unequally_directed_lines(v1, v2) = v10 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v4) = v9 & unequally_directed_lines(v0, v1) = v6 & reverse_line(v1) = v7 & ( ~ (v8 = 0) | ~ (v6 = 0) | (v10 = 0 & v5 = 0) | (v9 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (unequally_directed_lines(v1, v3) = v5) | ~ (unequally_directed_lines(v0, v3) = v4) | ~ (reverse_line(v2) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (unequally_directed_lines(v1, v2) = v10 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v2) = v9 & unequally_directed_lines(v0, v1) = v6 & reverse_line(v1) = v7 & ( ~ (v8 = 0) | ~ (v6 = 0) | (v10 = 0 & v5 = 0) | (v9 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (unequally_directed_lines(v1, v2) = v5) | ~ (unequally_directed_lines(v0, v3) = v4) | ~ (reverse_line(v2) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (unequally_directed_lines(v1, v3) = v10 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v2) = v9 & unequally_directed_lines(v0, v1) = v6 & reverse_line(v1) = v7 & ( ~ (v8 = 0) | ~ (v6 = 0) | (v10 = 0 & v5 = 0) | (v9 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (unequally_directed_lines(v0, v4) = v5) | ~ (reverse_line(v2) = v4) | ~ (reverse_line(v1) = v3) | ? [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) | ~ (left_apart_point(v1, v4) = v5) | ~ (left_apart_point(v0, v2) = v3) | ? [v6] : ? [v7] : ? [v8] : (divides_points(v2, v0, v1) = v8 & left_apart_point(v1, v2) = v7 & left_apart_point(v0, v4) = v6 & (v8 = 0 | (( ~ (v7 = 0) | ~ (v6 = 0)) & ( ~ (v5 = 0) | ~ (v3 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v4) | ~ (left_apart_point(v1, v4) = v5) | ~ (left_apart_point(v0, v2) = v3) | ? [v6] : ? [v7] : ? [v8] : (divides_points(v2, v0, v1) = v6 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v4) = v7 & ( ~ (v6 = 0) | (v8 = 0 & v7 = 0))) | (v5 = 0 & v3 = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v3) | ~ (left_apart_point(v1, v3) = v4) | ~ (left_apart_point(v0, v3) = v5) | ? [v6] : ? [v7] : ? [v8] : (divides_points(v2, v0, v1) = v8 & left_apart_point(v1, v2) = v7 & left_apart_point(v0, v2) = v6 & (v8 = 0 | (( ~ (v7 = 0) | ~ (v5 = 0)) & ( ~ (v6 = 0) | ~ (v4 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v3) | ~ (left_apart_point(v1, v3) = v4) | ~ (left_apart_point(v0, v3) = v5) | ? [v6] : ? [v7] : ? [v8] : (divides_points(v2, v0, v1) = v6 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v2) = v7 & ( ~ (v6 = 0) | (v8 = 0 & v5 = 0) | (v7 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v3) | ~ (left_apart_point(v1, v2) = v5) | ~ (left_apart_point(v0, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : (divides_points(v2, v0, v1) = v8 & left_apart_point(v1, v3) = v7 & left_apart_point(v0, v2) = v6 & (v8 = 0 | (( ~ (v7 = 0) | ~ (v6 = 0)) & ( ~ (v5 = 0) | ~ (v4 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v3) | ~ (left_apart_point(v1, v2) = v5) | ~ (left_apart_point(v0, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : (divides_points(v2, v0, v1) = v6 & left_apart_point(v1, v3) = v8 & left_apart_point(v0, v2) = v7 & ( ~ (v6 = 0) | (v8 = 0 & v7 = 0))) | (v5 = 0 & v4 = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v0) = v4) | ~ (left_apart_point(v2, v4) = v5) | ~ (left_apart_point(v1, v0) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v7 & before_on_line(v0, v1, v2) = v6 & line_connecting(v1, v2) = v10 & unequally_directed_lines(v0, v10) = v11 & left_apart_point(v2, v0) = v9 & left_apart_point(v1, v4) = v8 & ( ~ (v6 = 0) | (v7 = 0 & ~ (v11 = 0) & ~ (v9 = 0) & ~ (v8 = 0) & ~ (v5 = 0) & ~ (v3 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v0) = v3) | ~ (left_apart_point(v2, v3) = v5) | ~ (left_apart_point(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v7 & before_on_line(v0, v1, v2) = v6 & line_connecting(v1, v2) = v10 & unequally_directed_lines(v0, v10) = v11 & left_apart_point(v2, v0) = v9 & left_apart_point(v1, v0) = v8 & ( ~ (v6 = 0) | (v7 = 0 & ~ (v11 = 0) & ~ (v9 = 0) & ~ (v8 = 0) & ~ (v5 = 0) & ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v0) = v3) | ~ (left_apart_point(v2, v0) = v5) | ~ (left_apart_point(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v7 & before_on_line(v0, v1, v2) = v6 & line_connecting(v1, v2) = v10 & unequally_directed_lines(v0, v10) = v11 & left_apart_point(v2, v3) = v9 & left_apart_point(v1, v0) = v8 & ( ~ (v6 = 0) | (v7 = 0 & ~ (v11 = 0) & ~ (v9 = 0) & ~ (v8 = 0) & ~ (v5 = 0) & ~ (v4 = 0))))) & ! [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 | ~ (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 | ~ (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 | v3 = 0 | ~ (left_apart_point(v2, v0) = v4) | ~ (left_apart_point(v1, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v5 & before_on_line(v0, v1, v2) = v11 & line_connecting(v1, v2) = v9 & unequally_directed_lines(v0, v9) = v10 & reverse_line(v0) = v6 & left_apart_point(v2, v6) = v8 & left_apart_point(v1, v6) = v7 & ( ~ (v5 = 0) | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (left_convergent_lines(v3, v2) = v4) | ~ (line_connecting(v0, v1) = v3) | ? [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 | ~ (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(v1, v2) = v3) | ~ (unequally_directed_lines(v0, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v5 & before_on_line(v0, v1, v2) = v11 & reverse_line(v0) = v7 & left_apart_point(v2, v7) = v10 & left_apart_point(v2, v0) = v9 & left_apart_point(v1, v7) = v8 & left_apart_point(v1, v0) = v6 & ( ~ (v5 = 0) | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (unequally_directed_lines(v1, v2) = 0) | ~ (reverse_line(v2) = v3) | ~ (left_apart_point(v0, v3) = v4) | ? [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(v1, v2) = v4) | ~ (left_apart_point(v2, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v5 & before_on_line(v0, v1, v2) = v11 & unequally_directed_lines(v0, v4) = v10 & reverse_line(v0) = v7 & left_apart_point(v2, v7) = v9 & left_apart_point(v1, v7) = v8 & left_apart_point(v1, v0) = v6 & ( ~ (v5 = 0) | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (line_connecting(v1, v2) = v4) | ~ (left_apart_point(v1, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v5 & before_on_line(v0, v1, v2) = v11 & unequally_directed_lines(v0, v4) = v10 & reverse_line(v0) = v6 & left_apart_point(v2, v6) = v9 & left_apart_point(v2, v0) = v8 & left_apart_point(v1, v6) = v7 & ( ~ (v5 = 0) | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (line_connecting(v0, v1) = v4) | ~ (left_apart_point(v1, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : (left_convergent_lines(v4, v2) = v7 & distinct_points(v0, v1) = v5 & 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) | ~ (reverse_line(v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (before_on_line(v0, v1, v2) = v5 & line_connecting(v1, v2) = v10 & unequally_directed_lines(v0, v10) = v11 & left_apart_point(v2, v4) = v9 & left_apart_point(v2, v0) = v8 & left_apart_point(v1, v4) = v7 & left_apart_point(v1, v0) = v6 & ( ~ (v5 = 0) | (v3 = 0 & ~ (v11 = 0) & ~ (v9 = 0) & ~ (v8 = 0) & ~ (v7 = 0) & ~ (v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (distinct_points(v1, v2) = v3) | ~ (left_apart_point(v2, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (before_on_line(v0, v1, v2) = v5 & line_connecting(v1, v2) = v10 & unequally_directed_lines(v0, v10) = v11 & reverse_line(v0) = v7 & left_apart_point(v2, v7) = v9 & left_apart_point(v1, v7) = v8 & left_apart_point(v1, v0) = v6 & ( ~ (v5 = 0) | (v3 = 0 & ~ (v11 = 0) & ~ (v9 = 0) & ~ (v8 = 0) & ~ (v6 = 0) & ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (distinct_points(v1, v2) = v3) | ~ (left_apart_point(v1, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (before_on_line(v0, v1, v2) = v5 & line_connecting(v1, v2) = v10 & unequally_directed_lines(v0, v10) = v11 & reverse_line(v0) = v6 & left_apart_point(v2, v6) = v9 & left_apart_point(v2, v0) = v8 & left_apart_point(v1, v6) = v7 & ( ~ (v5 = 0) | (v3 = 0 & ~ (v11 = 0) & ~ (v9 = 0) & ~ (v8 = 0) & ~ (v7 = 0) & ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (line_connecting(v1, v2) = v4) | ~ (reverse_line(v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & unequally_directed_lines(v0, v4) = v11 & left_apart_point(v2, v3) = v10 & left_apart_point(v2, v0) = v9 & left_apart_point(v1, v3) = v8 & left_apart_point(v1, v0) = v7 & ( ~ (v5 = 0) | (v6 = 0 & ~ (v11 = 0) & ~ (v10 = 0) & ~ (v9 = 0) & ~ (v8 = 0) & ~ (v7 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (line_connecting(v1, v2) = v4) | ~ (reverse_line(v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v5 & before_on_line(v0, v1, v2) = v11 & unequally_directed_lines(v0, v4) = v10 & left_apart_point(v2, v3) = v9 & left_apart_point(v2, v0) = v8 & left_apart_point(v1, v3) = v7 & left_apart_point(v1, v0) = v6 & ( ~ (v5 = 0) | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0 | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (line_connecting(v1, v2) = v4) | ~ (left_apart_point(v2, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & unequally_directed_lines(v0, v4) = v11 & reverse_line(v0) = v8 & left_apart_point(v2, v8) = v10 & left_apart_point(v1, v8) = v9 & left_apart_point(v1, v0) = v7 & ( ~ (v5 = 0) | (v6 = 0 & ~ (v11 = 0) & ~ (v10 = 0) & ~ (v9 = 0) & ~ (v7 = 0) & ~ (v3 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (line_connecting(v1, v2) = v4) | ~ (left_apart_point(v1, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & unequally_directed_lines(v0, v4) = v11 & reverse_line(v0) = v7 & left_apart_point(v2, v7) = v10 & left_apart_point(v2, v0) = v9 & left_apart_point(v1, v7) = v8 & ( ~ (v5 = 0) | (v6 = 0 & ~ (v11 = 0) & ~ (v10 = 0) & ~ (v9 = 0) & ~ (v8 = 0) & ~ (v3 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (line_connecting(v1, v2) = v3) | ~ (unequally_directed_lines(v0, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & reverse_line(v0) = v8 & left_apart_point(v2, v8) = v11 & left_apart_point(v2, v0) = v10 & left_apart_point(v1, v8) = v9 & left_apart_point(v1, v0) = v7 & ( ~ (v5 = 0) | (v6 = 0 & ~ (v11 = 0) & ~ (v10 = 0) & ~ (v9 = 0) & ~ (v7 = 0) & ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unequally_directed_lines(v1, v2) = v4) | ~ (unequally_directed_lines(v0, v3) = 0) | ~ (reverse_line(v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (unequally_directed_lines(v1, v7) = v9 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v2) = v6 & unequally_directed_lines(v0, v1) = v5 & reverse_line(v2) = v7 & ( ~ (v5 = 0) | (v9 = 0 & v4 = 0) | (v8 = 0 & v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unequally_directed_lines(v1, v2) = v4) | ~ (unequally_directed_lines(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (unequally_directed_lines(v1, v8) = v10 & unequally_directed_lines(v0, v8) = v9 & unequally_directed_lines(v0, v6) = v7 & unequally_directed_lines(v0, v1) = v5 & reverse_line(v2) = v8 & reverse_line(v1) = v6 & ( ~ (v7 = 0) | ~ (v5 = 0) | (v10 = 0 & v4 = 0) | (v9 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unequally_directed_lines(v0, v3) = 0) | ~ (reverse_line(v2) = v4) | ~ (reverse_line(v1) = v3) | ? [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] : ( ~ (unequally_directed_lines(v0, v2) = v4) | ~ (reverse_line(v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (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 & reverse_line(v2) = v7 & ( ~ (v6 = 0) | ~ (v5 = 0) | (v10 = 0 & v9 = 0) | (v8 = 0 & v4 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v2, v0) = v4) | ~ (left_apart_point(v1, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & line_connecting(v1, v2) = v10 & unequally_directed_lines(v0, v10) = v11 & reverse_line(v0) = v7 & left_apart_point(v2, v7) = v9 & left_apart_point(v1, v7) = v8 & ( ~ (v5 = 0) | (v6 = 0 & ~ (v11 = 0) & ~ (v9 = 0) & ~ (v8 = 0) & ~ (v4 = 0) & ~ (v3 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (divides_points(v2, v0, v1) = v8 & reverse_line(v2) = v5 & left_apart_point(v1, v5) = v6 & left_apart_point(v0, v5) = v7 & (v8 = 0 | (( ~ (v7 = 0) | ~ (v4 = 0)) & ( ~ (v6 = 0) | ~ (v3 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (divides_points(v2, v0, v1) = v5 & reverse_line(v2) = v6 & left_apart_point(v1, v6) = v7 & left_apart_point(v0, v6) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 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, v1) = 0) | ~ (unequally_directed_lines(v1, v2) = v3) | left_convergent_lines(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v1, v2) = v3) | ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v1, v2) = v3) | ~ (left_apart_point(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : (unequally_directed_lines(v1, v2) = v4 & reverse_line(v2) = v5 & left_apart_point(v0, v5) = v6 & ( ~ (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(v1, v2) = 0) | ~ (left_apart_point(v2, v0) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (before_on_line(v0, v1, v2) = v10 & line_connecting(v1, v2) = v8 & unequally_directed_lines(v0, v8) = v9 & reverse_line(v0) = v5 & left_apart_point(v2, v5) = v7 & left_apart_point(v1, v5) = v6 & left_apart_point(v1, v0) = v4 & (v10 = 0 | v9 = 0 | v7 = 0 | v6 = 0 | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v1, v2) = 0) | ~ (left_apart_point(v1, v0) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (before_on_line(v0, v1, v2) = v10 & line_connecting(v1, v2) = v8 & unequally_directed_lines(v0, v8) = v9 & reverse_line(v0) = v4 & left_apart_point(v2, v4) = v7 & left_apart_point(v2, v0) = v6 & left_apart_point(v1, v4) = v5 & (v10 = 0 | v9 = 0 | v7 = 0 | v6 = 0 | v5 = 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] : (left_convergent_lines(v5, v2) = v6 & line_connecting(v0, v1) = v5 & 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] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v4 & line_connecting(v1, v2) = v10 & unequally_directed_lines(v0, v10) = v11 & reverse_line(v0) = v6 & left_apart_point(v2, v6) = v9 & left_apart_point(v2, v0) = v8 & left_apart_point(v1, v6) = v7 & left_apart_point(v1, v0) = v5 & ( ~ (v4 = 0) | v11 = 0 | v9 = 0 | v8 = 0 | v7 = 0 | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (divides_points(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (reverse_line(v2) = v5 & left_apart_point(v1, v5) = v6 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v5) = v7 & left_apart_point(v0, v2) = v4 & ( ~ (v8 = 0) | ~ (v7 = 0)) & ( ~ (v6 = 0) | ~ (v4 = 0)))) & ! [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] : (v3 = 0 | ~ (unequally_directed_lines(v0, v2) = v3) | ~ (reverse_line(v1) = v2) | ? [v4] : ? [v5] : ? [v6] : (line(v1) = v5 & line(v0) = v4 & unequally_directed_lines(v0, v1) = v6 & ( ~ (v5 = 0) | ~ (v4 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (reverse_line(v1) = v2) | ~ (left_apart_point(v0, v2) = v3) | ? [v4] : ? [v5] : (apart_point_and_line(v0, v1) = v4 & left_apart_point(v0, v1) = v5 & ( ~ (v4 = 0) | v5 = 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] : (left_convergent_lines(v5, v2) = v6 & distinct_points(v0, v1) = v4 & line_connecting(v0, v1) = v5 & ( ~ (v4 = 0) | v6 = 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 | ~ (left_convergent_lines(v3, v2) = v1) | ~ (left_convergent_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (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 | ~ (unequally_directed_lines(v3, v2) = v1) | ~ (unequally_directed_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 | ~ (left_apart_point(v3, v2) = v1) | ~ (left_apart_point(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] : (reverse_line(v3) = v11 & reverse_line(v2) = v8 & 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 & (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] : ( ~ (distinct_points(v1, v2) = 0) | ~ (reverse_line(v0) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (before_on_line(v0, v1, v2) = v10 & line_connecting(v1, v2) = v8 & unequally_directed_lines(v0, v8) = v9 & left_apart_point(v2, v3) = v7 & left_apart_point(v2, v0) = v6 & left_apart_point(v1, v3) = v5 & left_apart_point(v1, v0) = v4 & (v10 = 0 | v9 = 0 | v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (line_connecting(v0, v1) = v3) | ~ (left_apart_point(v0, v2) = 0) | ? [v4] : ? [v5] : ? [v6] : (left_convergent_lines(v3, v2) = v6 & distinct_points(v0, v1) = v4 & left_apart_point(v1, v2) = v5 & ( ~ (v4 = 0) | v6 = 0 | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unequally_directed_lines(v1, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (unequally_directed_lines(v1, v7) = v9 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v4) = v5 & unequally_directed_lines(v0, v2) = v6 & reverse_line(v2) = v7 & reverse_line(v1) = v4 & ( ~ (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] : (unequally_directed_lines(v1, v6) = v9 & unequally_directed_lines(v1, v2) = v8 & unequally_directed_lines(v0, v6) = v7 & unequally_directed_lines(v0, v4) = v5 & reverse_line(v2) = v6 & reverse_line(v1) = v4 & ( ~ (v5 = 0) | (v9 = 0 & v8 = 0) | (v7 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unequally_directed_lines(v0, v2) = v3) | ~ (reverse_line(v1) = v2) | ? [v4] : ? [v5] : (convergent_lines(v0, v1) = v4 & unequally_directed_lines(v0, v1) = v5 & ( ~ (v4 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ~ (reverse_line(v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (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 & reverse_line(v1) = v4 & ( ~ (v5 = 0) | (v9 = 0 & v8 = 0) | (v7 = 0 & v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (reverse_line(v2) = v3) | ~ (left_apart_point(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : (distinct_lines(v1, v2) = v5 & unequally_directed_lines(v1, v2) = v4 & left_apart_point(v0, v3) = v6 & ( ~ (v4 = 0) | v6 = 0 | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (reverse_line(v1) = v2) | ~ (left_apart_point(v0, v2) = v3) | ? [v4] : ? [v5] : (apart_point_and_line(v0, v1) = v5 & left_apart_point(v0, v1) = v4 & (v5 = 0 | ( ~ (v4 = 0) & ~ (v3 = 0))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (left_convergent_lines(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (left_convergent_lines(v0, v4) = v6 & unequally_directed_lines(v0, v4) = v5 & unequally_directed_lines(v0, v1) = v3 & reverse_line(v1) = v4 & ( ~ (v5 = 0) | ~ (v3 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(v0, v4) = v5 & unequally_directed_lines(v0, v1) = v3 & reverse_line(v1) = v4 & ( ~ (v5 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_lines(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (line(v1) = v4 & line(v0) = v3 & unequally_directed_lines(v0, v5) = v6 & reverse_line(v1) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (apart_point_and_line(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ~ (v3 = 0) & reverse_line(v1) = v4 & left_apart_point(v0, v4) = v5 & left_apart_point(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (left_apart_point(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (apart_point_and_line(v0, v1) = v3 & reverse_line(v1) = v4 & left_apart_point(v0, v4) = v5 & ( ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (point(v2) = v1) | ~ (point(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (line(v2) = v1) | ~ (line(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (reverse_line(v2) = v1) | ~ (reverse_line(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & unequally_directed_lines(v2, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & apart_point_and_line(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(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 & unequally_directed_lines(v0, v6) = v7 & unequally_directed_lines(v0, v1) = v5 & reverse_line(v1) = v6 & ( ~ (v7 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v8 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection_point(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (unequally_directed_lines(v0, v4) = v5 & unequally_directed_lines(v0, v1) = v3 & apart_point_and_line(v2, v1) = v7 & apart_point_and_line(v2, v0) = v6 & reverse_line(v1) = v4 & ( ~ (v5 = 0) | ~ (v3 = 0) | ( ~ (v7 = 0) & ~ (v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (left_convergent_lines(v0, v2) = 0) | ~ (reverse_line(v1) = v2)) & ! [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] : ( ~ (line(v0) = 0) | ~ (reverse_line(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (line(v1) = v3 & unequally_directed_lines(v0, v2) = v5 & unequally_directed_lines(v0, v1) = v4 & ( ~ (v3 = 0) | v5 = 0 | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v0, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : (left_convergent_lines(v4, v2) = v5 & line_connecting(v0, v1) = v4 & left_apart_point(v1, v2) = v3 & (v5 = 0 | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (before_on_line(v0, v1, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = 0) & ~ (v7 = 0) & ~ (v6 = 0) & ~ (v5 = 0) & ~ (v3 = 0) & distinct_points(v1, v2) = 0 & line_connecting(v1, v2) = v8 & unequally_directed_lines(v0, v8) = v9 & reverse_line(v0) = v4 & left_apart_point(v2, v4) = v7 & left_apart_point(v2, v0) = v6 & left_apart_point(v1, v4) = v5 & left_apart_point(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & line_connecting(v0, v1) = v3 & unequally_directed_lines(v3, v4) = v5 & reverse_line(v2) = v4)) & ! [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] : ( ~ (v5 = 0) & line_connecting(v1, v0) = v3 & unequally_directed_lines(v2, v4) = v5 & reverse_line(v3) = v4)) & ! [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] : ? [v7] : (reverse_line(v2) = v4 & left_apart_point(v1, v4) = v5 & left_apart_point(v1, v2) = v7 & left_apart_point(v0, v4) = v6 & left_apart_point(v0, v2) = v3 & ((v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unequally_directed_lines(v1, v2) = 0) | ~ (left_apart_point(v0, v1) = 0) | ? [v3] : ? [v4] : ? [v5] : (distinct_lines(v1, v2) = v3 & reverse_line(v2) = v4 & left_apart_point(v0, v4) = v5 & (v5 = 0 | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unequally_directed_lines(v0, v2) = 0) | ~ (reverse_line(v1) = v2) | ? [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] : ( ~ (unequally_directed_lines(v0, v2) = 0) | ~ (reverse_line(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (intersection_point(v0, v1) = v4 & unequally_directed_lines(v0, v1) = v3 & apart_point_and_line(v4, v1) = v6 & apart_point_and_line(v4, v0) = v5 & ( ~ (v3 = 0) | ( ~ (v6 = 0) & ~ (v5 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unequally_directed_lines(v0, v2) = 0) | ~ (reverse_line(v1) = v2) | ? [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, v2) = 0) | ~ (reverse_line(v1) = v2) | ? [v3] : ? [v4] : (convergent_lines(v0, v1) = v4 & unequally_directed_lines(v0, v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unequally_directed_lines(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (convergent_lines(v0, v1) = v3 & unequally_directed_lines(v0, v4) = v5 & reverse_line(v1) = v4 & ( ~ (v3 = 0) | (v5 = 0 & v2 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (reverse_line(v1) = v2) | ~ (left_apart_point(v0, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (left_apart_point(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (apart_point_and_line(v0, v1) = v5 & reverse_line(v1) = v3 & left_apart_point(v0, v3) = v4 & (v5 = 0 | ( ~ (v4 = 0) & ~ (v2 = 0))))) & ! [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] : ~ (left_convergent_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (line(v1) = 0) | ~ (line(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (intersection_point(v0, v1) = v5 & point(v5) = v6 & unequally_directed_lines(v0, v3) = v4 & unequally_directed_lines(v0, v1) = v2 & reverse_line(v1) = v3 & ( ~ (v4 = 0) | ~ (v2 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ( ~ (line(v1) = 0) | ~ (line(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(v0, v3) = v4 & unequally_directed_lines(v0, v1) = v2 & reverse_line(v1) = v3 & (v4 = 0 | v2 = 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] : ( ~ (convergent_lines(v0, v1) = 0) | ? [v2] : (unequally_directed_lines(v0, v2) = 0 & unequally_directed_lines(v0, v1) = 0 & reverse_line(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 & unequally_directed_lines(v0, v4) = v5 & reverse_line(v1) = v4 & ( ~ (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 & unequally_directed_lines(v0, v2) = v3 & apart_point_and_line(v4, v1) = v6 & apart_point_and_line(v4, v0) = v5 & reverse_line(v1) = v2 & ( ~ (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 & unequally_directed_lines(v0, v2) = v3 & reverse_line(v1) = v2 & ( ~ (v3 = 0) | v5 = 0 | v4 = 0))) & ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : (convergent_lines(v0, v1) = v4 & unequally_directed_lines(v0, v2) = v3 & reverse_line(v1) = v2 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ( ~ (apart_point_and_line(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : (reverse_line(v1) = v3 & left_apart_point(v0, v3) = v4 & left_apart_point(v0, v1) = v2 & (v4 = 0 | v2 = 0))) & ! [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] : ~ (left_apart_point(v0, v1) = 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] : ~ (unequally_directed_lines(v0, v0) = 0) & ? [v0] : ? [v1] : ? [v2] : (unequally_directed_lines(v2, v0) = 0 & reverse_line(v1) = v2 & reverse_line(v0) = v1)
% 43.20/15.36 | Applying alpha-rule on (0) yields:
% 43.20/15.36 | (1) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (point(v2) = v1) | ~ (point(v2) = v0))
% 43.20/15.36 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (reverse_line(v1) = v2) | ~ (left_apart_point(v0, v2) = v3) | ? [v4] : ? [v5] : (apart_point_and_line(v0, v1) = v5 & left_apart_point(v0, v1) = v4 & (v5 = 0 | ( ~ (v4 = 0) & ~ (v3 = 0)))))
% 43.20/15.36 | (3) ! [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))
% 43.20/15.36 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (distinct_points(v1, v2) = v3) | ~ (reverse_line(v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (before_on_line(v0, v1, v2) = v5 & line_connecting(v1, v2) = v10 & unequally_directed_lines(v0, v10) = v11 & left_apart_point(v2, v4) = v9 & left_apart_point(v2, v0) = v8 & left_apart_point(v1, v4) = v7 & left_apart_point(v1, v0) = v6 & ( ~ (v5 = 0) | (v3 = 0 & ~ (v11 = 0) & ~ (v9 = 0) & ~ (v8 = 0) & ~ (v7 = 0) & ~ (v6 = 0)))))
% 43.20/15.37 | (5) ! [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 & reverse_line(v3) = v13 & reverse_line(v2) = v10 & 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 & ( ~ (v7 = 0) | ~ (v6 = 0) | v15 = 0 | v14 = 0 | v12 = 0 | v11 = 0 | v9 = 0 | v8 = 0)))
% 43.20/15.37 | (6) ! [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)))
% 43.20/15.37 | (7) ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (intersection_point(v0, v1) = v4 & unequally_directed_lines(v0, v2) = v3 & apart_point_and_line(v4, v1) = v6 & apart_point_and_line(v4, v0) = v5 & reverse_line(v1) = v2 & ( ~ (v3 = 0) | ( ~ (v6 = 0) & ~ (v5 = 0)))))
% 43.20/15.37 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | v4 = 0 | ~ (reverse_line(v2) = v6) | ~ (left_apart_point(v1, v3) = v5) | ~ (left_apart_point(v0, v3) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & reverse_line(v3) = v13 & 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 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0)))
% 43.20/15.37 | (9) ! [v0] : ~ (unequally_directed_lines(v0, v0) = 0)
% 43.20/15.37 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v5 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (reverse_line(v2) = v4) | ~ (left_apart_point(v1, v4) = v6) | ~ (left_apart_point(v0, v4) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & reverse_line(v3) = v12 & 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 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0)))
% 43.20/15.37 | (11) ! [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))
% 43.20/15.37 | (12) ! [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 & reverse_line(v3) = v12 & reverse_line(v2) = v9 & 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 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0)))
% 43.20/15.37 | (13) ! [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))
% 43.20/15.37 | (14) ! [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))
% 43.20/15.37 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v3) | ~ (left_apart_point(v1, v3) = v4) | ~ (left_apart_point(v0, v3) = v5) | ? [v6] : ? [v7] : ? [v8] : (divides_points(v2, v0, v1) = v8 & left_apart_point(v1, v2) = v7 & left_apart_point(v0, v2) = v6 & (v8 = 0 | (( ~ (v7 = 0) | ~ (v5 = 0)) & ( ~ (v6 = 0) | ~ (v4 = 0))))))
% 43.20/15.37 | (16) ! [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))))
% 43.20/15.37 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (line_connecting(v1, v2) = v4) | ~ (left_apart_point(v2, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v5 & before_on_line(v0, v1, v2) = v11 & unequally_directed_lines(v0, v4) = v10 & reverse_line(v0) = v7 & left_apart_point(v2, v7) = v9 & left_apart_point(v1, v7) = v8 & left_apart_point(v1, v0) = v6 & ( ~ (v5 = 0) | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v6 = 0)))
% 43.20/15.37 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | v5 = 0 | ~ (reverse_line(v3) = v6) | ~ (reverse_line(v2) = v4) | ~ (left_apart_point(v1, v4) = v5) | ~ (left_apart_point(v0, v6) = v7) | ? [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)))
% 43.20/15.37 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v3) | ~ (left_apart_point(v1, v2) = v5) | ~ (left_apart_point(v0, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : (divides_points(v2, v0, v1) = v6 & left_apart_point(v1, v3) = v8 & left_apart_point(v0, v2) = v7 & ( ~ (v6 = 0) | (v8 = 0 & v7 = 0))) | (v5 = 0 & v4 = 0))
% 43.20/15.37 | (20) ! [v0] : ! [v1] : ( ~ (line(v1) = 0) | ~ (line(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(v0, v3) = v4 & unequally_directed_lines(v0, v1) = v2 & reverse_line(v1) = v3 & (v4 = 0 | v2 = 0)))
% 43.20/15.37 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v0) = v4) | ~ (left_apart_point(v2, v4) = v5) | ~ (left_apart_point(v1, v0) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v7 & before_on_line(v0, v1, v2) = v6 & line_connecting(v1, v2) = v10 & unequally_directed_lines(v0, v10) = v11 & left_apart_point(v2, v0) = v9 & left_apart_point(v1, v4) = v8 & ( ~ (v6 = 0) | (v7 = 0 & ~ (v11 = 0) & ~ (v9 = 0) & ~ (v8 = 0) & ~ (v5 = 0) & ~ (v3 = 0)))))
% 43.20/15.37 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & apart_point_and_line(v0, v2) = v3))
% 43.20/15.37 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (unequally_directed_lines(v1, v2) = 0) | ~ (reverse_line(v2) = v3) | ~ (left_apart_point(v0, v3) = v4) | ? [v5] : ? [v6] : (distinct_lines(v1, v2) = v6 & left_apart_point(v0, v1) = v5 & ( ~ (v5 = 0) | v6 = 0)))
% 43.20/15.37 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0))
% 43.20/15.37 | (25) ! [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))))))
% 43.20/15.37 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (line_connecting(v1, v2) = v4) | ~ (reverse_line(v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & unequally_directed_lines(v0, v4) = v11 & left_apart_point(v2, v3) = v10 & left_apart_point(v2, v0) = v9 & left_apart_point(v1, v3) = v8 & left_apart_point(v1, v0) = v7 & ( ~ (v5 = 0) | (v6 = 0 & ~ (v11 = 0) & ~ (v10 = 0) & ~ (v9 = 0) & ~ (v8 = 0) & ~ (v7 = 0)))))
% 43.20/15.38 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (reverse_line(v3) = v5) | ~ (left_apart_point(v1, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & reverse_line(v2) = v10 & 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 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v9 = 0 | v8 = 0 | v7 = 0)))
% 43.20/15.38 | (28) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (line(v2) = v1) | ~ (line(v2) = v0))
% 43.20/15.38 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (before_on_line(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v4 & line_connecting(v1, v2) = v10 & unequally_directed_lines(v0, v10) = v11 & reverse_line(v0) = v6 & left_apart_point(v2, v6) = v9 & left_apart_point(v2, v0) = v8 & left_apart_point(v1, v6) = v7 & left_apart_point(v1, v0) = v5 & ( ~ (v4 = 0) | v11 = 0 | v9 = 0 | v8 = 0 | v7 = 0 | v5 = 0)))
% 43.20/15.38 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v1, v2) = 0) | ~ (left_apart_point(v1, v0) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (before_on_line(v0, v1, v2) = v10 & line_connecting(v1, v2) = v8 & unequally_directed_lines(v0, v8) = v9 & reverse_line(v0) = v4 & left_apart_point(v2, v4) = v7 & left_apart_point(v2, v0) = v6 & left_apart_point(v1, v4) = v5 & (v10 = 0 | v9 = 0 | v7 = 0 | v6 = 0 | v5 = 0)))
% 43.20/15.38 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v1, v2) = 0) | ~ (left_apart_point(v2, v0) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (before_on_line(v0, v1, v2) = v10 & line_connecting(v1, v2) = v8 & unequally_directed_lines(v0, v8) = v9 & reverse_line(v0) = v5 & left_apart_point(v2, v5) = v7 & left_apart_point(v1, v5) = v6 & left_apart_point(v1, v0) = v4 & (v10 = 0 | v9 = 0 | v7 = 0 | v6 = 0 | v4 = 0)))
% 43.20/15.38 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unequally_directed_lines(v1, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (unequally_directed_lines(v1, v7) = v9 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v4) = v5 & unequally_directed_lines(v0, v2) = v6 & reverse_line(v2) = v7 & reverse_line(v1) = v4 & ( ~ (v5 = 0) | (v9 = 0 & v3 = 0) | (v8 = 0 & v6 = 0))))
% 43.20/15.38 | (33) ! [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)))))
% 43.20/15.38 | (34) ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & line_connecting(v1, v0) = v3 & unequally_directed_lines(v2, v4) = v5 & reverse_line(v3) = v4))
% 43.20/15.38 | (35) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(v0, v4) = v5 & unequally_directed_lines(v0, v1) = v3 & reverse_line(v1) = v4 & ( ~ (v5 = 0) | ~ (v3 = 0))))
% 43.20/15.38 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unequally_directed_lines(v0, v2) = v4) | ~ (reverse_line(v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (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 & reverse_line(v2) = v7 & ( ~ (v6 = 0) | ~ (v5 = 0) | (v10 = 0 & v9 = 0) | (v8 = 0 & v4 = 0))))
% 43.20/15.38 | (37) ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | ? [v2] : (unequally_directed_lines(v0, v2) = 0 & unequally_directed_lines(v0, v1) = 0 & reverse_line(v1) = v2))
% 43.20/15.38 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (between_on_line(v5, v4, v3, v2) = v1) | ~ (between_on_line(v5, v4, v3, v2) = v0))
% 43.20/15.38 | (39) ! [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))))
% 43.20/15.38 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (line_connecting(v1, v2) = v3) | ~ (unequally_directed_lines(v0, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v5 & before_on_line(v0, v1, v2) = v11 & reverse_line(v0) = v7 & left_apart_point(v2, v7) = v10 & left_apart_point(v2, v0) = v9 & left_apart_point(v1, v7) = v8 & left_apart_point(v1, v0) = v6 & ( ~ (v5 = 0) | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v6 = 0)))
% 43.20/15.38 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (reverse_line(v2) = v5) | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v2) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & reverse_line(v3) = v12 & 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 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0)))
% 43.20/15.38 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v4) | ~ (left_apart_point(v1, v4) = v5) | ~ (left_apart_point(v0, v2) = v3) | ? [v6] : ? [v7] : ? [v8] : (divides_points(v2, v0, v1) = v6 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v4) = v7 & ( ~ (v6 = 0) | (v8 = 0 & v7 = 0))) | (v5 = 0 & v3 = 0))
% 43.20/15.38 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unequally_directed_lines(v0, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | unequally_directed_lines(v1, v2) = 0)
% 43.20/15.38 | (44) ! [v0] : ! [v1] : ! [v2] : ( ~ (unequally_directed_lines(v0, v2) = 0) | ~ (reverse_line(v1) = v2) | ? [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)))
% 43.20/15.38 | (45) ! [v0] : ! [v1] : ( ~ (line(v1) = 0) | ~ (line(v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (intersection_point(v0, v1) = v5 & point(v5) = v6 & unequally_directed_lines(v0, v3) = v4 & unequally_directed_lines(v0, v1) = v2 & reverse_line(v1) = v3 & ( ~ (v4 = 0) | ~ (v2 = 0) | v6 = 0)))
% 43.20/15.38 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unequally_directed_lines(v0, v3) = 0) | ~ (reverse_line(v2) = v4) | ~ (reverse_line(v1) = v3) | ? [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))))
% 43.20/15.38 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (line_connecting(v1, v2) = v3) | ~ (unequally_directed_lines(v0, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & reverse_line(v0) = v8 & left_apart_point(v2, v8) = v11 & left_apart_point(v2, v0) = v10 & left_apart_point(v1, v8) = v9 & left_apart_point(v1, v0) = v7 & ( ~ (v5 = 0) | (v6 = 0 & ~ (v11 = 0) & ~ (v10 = 0) & ~ (v9 = 0) & ~ (v7 = 0) & ~ (v4 = 0)))))
% 43.20/15.38 | (48) ! [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))))
% 43.20/15.38 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_convergent_lines(v0, v1) = 0) | ~ (unequally_directed_lines(v1, v2) = v3) | left_convergent_lines(v0, v2) = 0)
% 43.20/15.38 | (50) ! [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))
% 43.20/15.38 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (reverse_line(v2) = v5) | ~ (left_apart_point(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & reverse_line(v3) = v12 & 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 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0)))
% 43.20/15.38 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unequally_directed_lines(v0, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (unequally_directed_lines(v1, v6) = v9 & unequally_directed_lines(v1, v2) = v8 & unequally_directed_lines(v0, v6) = v7 & unequally_directed_lines(v0, v4) = v5 & reverse_line(v2) = v6 & reverse_line(v1) = v4 & ( ~ (v5 = 0) | (v9 = 0 & v8 = 0) | (v7 = 0 & v3 = 0))))
% 43.20/15.39 | (53) ? [v0] : ? [v1] : ? [v2] : (unequally_directed_lines(v2, v0) = 0 & reverse_line(v1) = v2 & reverse_line(v0) = v1)
% 43.20/15.39 | (54) ! [v0] : ! [v1] : ! [v2] : ( ~ (reverse_line(v1) = v2) | ~ (left_apart_point(v0, v2) = 0))
% 43.20/15.39 | (55) ! [v0] : ! [v1] : ! [v2] : ( ~ (left_apart_point(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (apart_point_and_line(v0, v1) = v5 & reverse_line(v1) = v3 & left_apart_point(v0, v3) = v4 & (v5 = 0 | ( ~ (v4 = 0) & ~ (v2 = 0)))))
% 43.20/15.39 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v0, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | distinct_points(v1, v2) = 0)
% 43.20/15.39 | (57) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (apart_point_and_line(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & ~ (v3 = 0) & reverse_line(v1) = v4 & left_apart_point(v0, v4) = v5 & left_apart_point(v0, v1) = v3))
% 43.20/15.39 | (58) ! [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)))
% 43.20/15.39 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (reverse_line(v0) = v3) | ~ (left_apart_point(v2, v0) = v5) | ~ (left_apart_point(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v11 & line_connecting(v1, v2) = v9 & unequally_directed_lines(v0, v9) = v10 & left_apart_point(v2, v3) = v8 & left_apart_point(v1, v0) = v7 & ( ~ (v6 = 0) | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0)))
% 43.20/15.39 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (reverse_line(v2) = v3) | ~ (left_apart_point(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : (distinct_lines(v1, v2) = v5 & unequally_directed_lines(v1, v2) = v4 & left_apart_point(v0, v3) = v6 & ( ~ (v4 = 0) | v6 = 0 | v5 = 0)))
% 43.20/15.39 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (distinct_points(v1, v2) = v3) | ~ (left_apart_point(v2, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (before_on_line(v0, v1, v2) = v5 & line_connecting(v1, v2) = v10 & unequally_directed_lines(v0, v10) = v11 & reverse_line(v0) = v7 & left_apart_point(v2, v7) = v9 & left_apart_point(v1, v7) = v8 & left_apart_point(v1, v0) = v6 & ( ~ (v5 = 0) | (v3 = 0 & ~ (v11 = 0) & ~ (v9 = 0) & ~ (v8 = 0) & ~ (v6 = 0) & ~ (v4 = 0)))))
% 43.20/15.39 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v2, v0) = v4) | ~ (left_apart_point(v1, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & line_connecting(v1, v2) = v10 & unequally_directed_lines(v0, v10) = v11 & reverse_line(v0) = v7 & left_apart_point(v2, v7) = v9 & left_apart_point(v1, v7) = v8 & ( ~ (v5 = 0) | (v6 = 0 & ~ (v11 = 0) & ~ (v9 = 0) & ~ (v8 = 0) & ~ (v4 = 0) & ~ (v3 = 0)))))
% 43.20/15.39 | (63) ! [v0] : ! [v1] : ! [v2] : ( ~ (unequally_directed_lines(v0, v2) = 0) | ~ (reverse_line(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (intersection_point(v0, v1) = v4 & unequally_directed_lines(v0, v1) = v3 & apart_point_and_line(v4, v1) = v6 & apart_point_and_line(v4, v0) = v5 & ( ~ (v3 = 0) | ( ~ (v6 = 0) & ~ (v5 = 0)))))
% 43.20/15.39 | (64) ! [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))
% 43.20/15.39 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (reverse_line(v2) = v5) | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v3) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & reverse_line(v3) = v13 & 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 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0)))
% 43.20/15.39 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_convergent_lines(v0, v2) = v3) | ~ (left_convergent_lines(v0, v1) = 0) | unequally_directed_lines(v1, v2) = 0)
% 43.20/15.39 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (unequally_directed_lines(v1, v2) = v5) | ~ (unequally_directed_lines(v0, v3) = v4) | ~ (reverse_line(v2) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (unequally_directed_lines(v1, v3) = v10 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v2) = v9 & unequally_directed_lines(v0, v1) = v6 & reverse_line(v1) = v7 & ( ~ (v8 = 0) | ~ (v6 = 0) | (v10 = 0 & v5 = 0) | (v9 = 0 & v4 = 0))))
% 43.20/15.39 | (68) ! [v0] : ! [v1] : ! [v2] : ( ~ (left_convergent_lines(v0, v2) = 0) | ~ (reverse_line(v1) = v2))
% 43.20/15.39 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v3 = 0 | ~ (distinct_lines(v1, v2) = v3) | ~ (reverse_line(v2) = v4) | ~ (left_apart_point(v0, v4) = v5) | ? [v6] : ? [v7] : (unequally_directed_lines(v1, v2) = v7 & left_apart_point(v0, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))
% 43.20/15.39 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (reverse_line(v0) = v3) | ~ (left_apart_point(v2, v3) = v5) | ~ (left_apart_point(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v11 & line_connecting(v1, v2) = v9 & unequally_directed_lines(v0, v9) = v10 & left_apart_point(v2, v0) = v8 & left_apart_point(v1, v0) = v7 & ( ~ (v6 = 0) | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0)))
% 43.20/15.39 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (divides_points(v2, v0, v1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (reverse_line(v2) = v5 & left_apart_point(v1, v5) = v6 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v5) = v7 & left_apart_point(v0, v2) = v4 & ( ~ (v8 = 0) | ~ (v7 = 0)) & ( ~ (v6 = 0) | ~ (v4 = 0))))
% 43.20/15.39 | (72) ! [v0] : ! [v1] : ! [v2] : ( ~ (unequally_directed_lines(v0, v2) = 0) | ~ (reverse_line(v1) = v2) | ? [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)))
% 43.20/15.39 | (73) ! [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 & unequally_directed_lines(v0, v4) = v5 & reverse_line(v1) = v4 & ( ~ (v5 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v7 = 0)))
% 43.20/15.39 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (divides_points(v2, v0, v1) = v5 & reverse_line(v2) = v6 & left_apart_point(v1, v6) = v7 & left_apart_point(v0, v6) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v4 = 0) | (v7 = 0 & v3 = 0))))
% 43.20/15.39 | (75) ! [v0] : ! [v1] : ( ~ (reverse_line(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & distinct_lines(v0, v1) = v2))
% 43.20/15.39 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v0) = v3) | ~ (left_apart_point(v2, v3) = v5) | ~ (left_apart_point(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v7 & before_on_line(v0, v1, v2) = v6 & line_connecting(v1, v2) = v10 & unequally_directed_lines(v0, v10) = v11 & left_apart_point(v2, v0) = v9 & left_apart_point(v1, v0) = v8 & ( ~ (v6 = 0) | (v7 = 0 & ~ (v11 = 0) & ~ (v9 = 0) & ~ (v8 = 0) & ~ (v5 = 0) & ~ (v4 = 0)))))
% 43.20/15.39 | (77) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (left_apart_point(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (apart_point_and_line(v0, v1) = v3 & reverse_line(v1) = v4 & left_apart_point(v0, v4) = v5 & ( ~ (v3 = 0) | v5 = 0)))
% 43.20/15.39 | (78) ! [v0] : ( ~ (line(v0) = 0) | ? [v1] : (line(v1) = 0 & reverse_line(v0) = v1))
% 43.20/15.39 | (79) ! [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)))
% 43.20/15.39 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v4) | ~ (left_apart_point(v1, v4) = v5) | ~ (left_apart_point(v0, v2) = v3) | ? [v6] : ? [v7] : ? [v8] : (divides_points(v2, v0, v1) = v8 & left_apart_point(v1, v2) = v7 & left_apart_point(v0, v4) = v6 & (v8 = 0 | (( ~ (v7 = 0) | ~ (v6 = 0)) & ( ~ (v5 = 0) | ~ (v3 = 0))))))
% 43.20/15.39 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_apart_point(v1, v2) = v3) | ~ (left_apart_point(v0, v2) = 0) | distinct_points(v0, v1) = 0)
% 43.20/15.39 | (82) ! [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))))))
% 43.20/15.39 | (83) ! [v0] : ! [v1] : ! [v2] : ( ~ (before_on_line(v0, v1, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = 0) & ~ (v7 = 0) & ~ (v6 = 0) & ~ (v5 = 0) & ~ (v3 = 0) & distinct_points(v1, v2) = 0 & line_connecting(v1, v2) = v8 & unequally_directed_lines(v0, v8) = v9 & reverse_line(v0) = v4 & left_apart_point(v2, v4) = v7 & left_apart_point(v2, v0) = v6 & left_apart_point(v1, v4) = v5 & left_apart_point(v1, v0) = v3))
% 43.20/15.40 | (84) ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & line_connecting(v0, v1) = v3 & unequally_directed_lines(v3, v4) = v5 & reverse_line(v2) = v4))
% 43.20/15.40 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = 0 | v4 = 0 | ~ (reverse_line(v3) = v7) | ~ (reverse_line(v2) = v5) | ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v5) = v6) | ? [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)))
% 43.20/15.40 | (86) ! [v0] : ! [v1] : ! [v2] : ( ~ (line(v0) = 0) | ~ (reverse_line(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (line(v1) = v3 & unequally_directed_lines(v0, v2) = v5 & unequally_directed_lines(v0, v1) = v4 & ( ~ (v3 = 0) | v5 = 0 | v4 = 0)))
% 43.20/15.40 | (87) ! [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 & reverse_line(v3) = v12 & reverse_line(v2) = v9 & 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 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0)))
% 43.20/15.40 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~ (parallel_through_point(v3, v2) = v0))
% 43.20/15.40 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v3) | ~ (left_apart_point(v1, v3) = v4) | ~ (left_apart_point(v0, v3) = v5) | ? [v6] : ? [v7] : ? [v8] : (divides_points(v2, v0, v1) = v6 & left_apart_point(v1, v2) = v8 & left_apart_point(v0, v2) = v7 & ( ~ (v6 = 0) | (v8 = 0 & v5 = 0) | (v7 = 0 & v4 = 0))))
% 43.20/15.40 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | v4 = 0 | ~ (reverse_line(v3) = v6) | ~ (left_apart_point(v1, v2) = v5) | ~ (left_apart_point(v0, v2) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & reverse_line(v2) = v11 & 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 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v12 = 0 | v10 = 0 | v9 = 0)))
% 43.20/15.40 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | v6 = 0 | ~ (reverse_line(v3) = v5) | ~ (reverse_line(v2) = v4) | ~ (left_apart_point(v1, v5) = v7) | ~ (left_apart_point(v0, v5) = v6) | ? [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)))
% 43.20/15.40 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (line_connecting(v0, v1) = v4) | ~ (left_apart_point(v1, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : (left_convergent_lines(v4, v2) = v7 & distinct_points(v0, v1) = v5 & left_apart_point(v0, v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = 0)))
% 43.20/15.40 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (unequally_directed_lines(v1, v4) = v5) | ~ (unequally_directed_lines(v0, v2) = v3) | ~ (reverse_line(v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (unequally_directed_lines(v1, v2) = v10 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v4) = v9 & unequally_directed_lines(v0, v1) = v6 & reverse_line(v1) = v7 & ( ~ (v8 = 0) | ~ (v6 = 0) | (v10 = 0 & v5 = 0) | (v9 = 0 & v3 = 0))))
% 43.20/15.40 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (distinct_points(v1, v2) = 0) | ~ (reverse_line(v0) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (before_on_line(v0, v1, v2) = v10 & line_connecting(v1, v2) = v8 & unequally_directed_lines(v0, v8) = v9 & left_apart_point(v2, v3) = v7 & left_apart_point(v2, v0) = v6 & left_apart_point(v1, v3) = v5 & left_apart_point(v1, v0) = v4 & (v10 = 0 | v9 = 0 | v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0)))
% 43.20/15.40 | (95) ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & unequally_directed_lines(v2, v1) = v3))
% 43.20/15.40 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0))
% 43.20/15.40 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unequally_directed_lines(v0, v2) = v3) | ~ (reverse_line(v1) = v2) | ? [v4] : ? [v5] : ? [v6] : (line(v1) = v5 & line(v0) = v4 & unequally_directed_lines(v0, v1) = v6 & ( ~ (v5 = 0) | ~ (v4 = 0) | v6 = 0)))
% 43.20/15.40 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unequally_directed_lines(v1, v2) = v4) | ~ (unequally_directed_lines(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (unequally_directed_lines(v1, v8) = v10 & unequally_directed_lines(v0, v8) = v9 & unequally_directed_lines(v0, v6) = v7 & unequally_directed_lines(v0, v1) = v5 & reverse_line(v2) = v8 & reverse_line(v1) = v6 & ( ~ (v7 = 0) | ~ (v5 = 0) | (v10 = 0 & v4 = 0) | (v9 = 0 & v3 = 0))))
% 43.20/15.40 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ (convergent_lines(v3, v2) = v0))
% 43.20/15.40 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (reverse_line(v3) = v5) | ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & reverse_line(v2) = v12 & 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 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0)))
% 43.20/15.40 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | v4 = 0 | ~ (reverse_line(v3) = v6) | ~ (reverse_line(v2) = v5) | ~ (left_apart_point(v1, v3) = v4) | ~ (left_apart_point(v0, v6) = v7) | ? [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)))
% 43.20/15.40 | (102) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (left_convergent_lines(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (left_convergent_lines(v0, v4) = v6 & unequally_directed_lines(v0, v4) = v5 & unequally_directed_lines(v0, v1) = v3 & reverse_line(v1) = v4 & ( ~ (v5 = 0) | ~ (v3 = 0) | v6 = 0)))
% 43.20/15.40 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (unequally_directed_lines(v0, v4) = v5) | ~ (reverse_line(v2) = v4) | ~ (reverse_line(v1) = v3) | ? [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))))
% 43.20/15.40 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) = v0))
% 43.20/15.40 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v1, v2) = v3) | ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v0, v2) = 0)
% 43.20/15.40 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (line_connecting(v1, v2) = v4) | ~ (reverse_line(v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v5 & before_on_line(v0, v1, v2) = v11 & unequally_directed_lines(v0, v4) = v10 & left_apart_point(v2, v3) = v9 & left_apart_point(v2, v0) = v8 & left_apart_point(v1, v3) = v7 & left_apart_point(v1, v0) = v6 & ( ~ (v5 = 0) | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0 | v6 = 0)))
% 43.20/15.40 | (107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v1, v2) = v3) | ~ (left_apart_point(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : (unequally_directed_lines(v1, v2) = v4 & reverse_line(v2) = v5 & left_apart_point(v0, v5) = v6 & ( ~ (v4 = 0) | v6 = 0)))
% 43.20/15.40 | (108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v5 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (reverse_line(v3) = v4) | ~ (left_apart_point(v1, v4) = v6) | ~ (left_apart_point(v0, v4) = v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & reverse_line(v2) = v12 & 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 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0)))
% 43.20/15.40 | (109) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v2) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (divides_points(v2, v0, v1) = v8 & reverse_line(v2) = v5 & left_apart_point(v1, v5) = v6 & left_apart_point(v0, v5) = v7 & (v8 = 0 | (( ~ (v7 = 0) | ~ (v4 = 0)) & ( ~ (v6 = 0) | ~ (v3 = 0))))))
% 43.20/15.41 | (110) ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection_point(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (unequally_directed_lines(v0, v4) = v5 & unequally_directed_lines(v0, v1) = v3 & apart_point_and_line(v2, v1) = v7 & apart_point_and_line(v2, v0) = v6 & reverse_line(v1) = v4 & ( ~ (v5 = 0) | ~ (v3 = 0) | ( ~ (v7 = 0) & ~ (v6 = 0)))))
% 43.20/15.41 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | v4 = 0 | ~ (reverse_line(v3) = v6) | ~ (reverse_line(v2) = v5) | ~ (left_apart_point(v1, v6) = v7) | ~ (left_apart_point(v0, v3) = v4) | ? [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)))
% 43.20/15.41 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v0, v1) = v3) | ~ (left_apart_point(v0, v2) = 0) | left_apart_point(v1, v2) = 0)
% 43.20/15.41 | (113) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (reverse_line(v2) = v5) | ~ (left_apart_point(v1, v3) = v4) | ~ (left_apart_point(v0, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & reverse_line(v3) = v13 & 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 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v12 = 0 | v11 = 0 | v10 = 0 | v9 = 0)))
% 43.20/15.41 | (114) ! [v0] : ! [v1] : ! [v2] : ( ~ (unequally_directed_lines(v1, v2) = 0) | ~ (left_apart_point(v0, v1) = 0) | ? [v3] : ? [v4] : ? [v5] : (distinct_lines(v1, v2) = v3 & reverse_line(v2) = v4 & left_apart_point(v0, v4) = v5 & (v5 = 0 | v3 = 0)))
% 43.61/15.41 | (115) ! [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)))
% 43.61/15.41 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unequally_directed_lines(v1, v2) = v4) | ~ (unequally_directed_lines(v0, v3) = 0) | ~ (reverse_line(v1) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (unequally_directed_lines(v1, v7) = v9 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v2) = v6 & unequally_directed_lines(v0, v1) = v5 & reverse_line(v2) = v7 & ( ~ (v5 = 0) | (v9 = 0 & v4 = 0) | (v8 = 0 & v6 = 0))))
% 43.61/15.41 | (117) ! [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))))
% 43.61/15.41 | (118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (distinct_points(v1, v2) = v3) | ~ (left_apart_point(v1, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (before_on_line(v0, v1, v2) = v5 & line_connecting(v1, v2) = v10 & unequally_directed_lines(v0, v10) = v11 & reverse_line(v0) = v6 & left_apart_point(v2, v6) = v9 & left_apart_point(v2, v0) = v8 & left_apart_point(v1, v6) = v7 & ( ~ (v5 = 0) | (v3 = 0 & ~ (v11 = 0) & ~ (v9 = 0) & ~ (v8 = 0) & ~ (v7 = 0) & ~ (v4 = 0)))))
% 43.61/15.41 | (119) ! [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 & reverse_line(v3) = v13 & reverse_line(v2) = v10 & 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 & ( ~ (v7 = 0) | ~ (v6 = 0) | v15 = 0 | v14 = 0 | v12 = 0 | v11 = 0 | v9 = 0 | v8 = 0)))
% 43.61/15.41 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (line_connecting(v1, v2) = v4) | ~ (left_apart_point(v1, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v5 & before_on_line(v0, v1, v2) = v11 & unequally_directed_lines(v0, v4) = v10 & reverse_line(v0) = v6 & left_apart_point(v2, v6) = v9 & left_apart_point(v2, v0) = v8 & left_apart_point(v1, v6) = v7 & ( ~ (v5 = 0) | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0)))
% 43.61/15.41 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (reverse_line(v3) = v11 & reverse_line(v2) = v8 & 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 & (v13 = 0 | v12 = 0 | v10 = 0 | v9 = 0 | v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0)))
% 43.61/15.41 | (122) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v0, v2) = v3) | ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v1, v2) = 0)
% 43.61/15.41 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (line_connecting(v1, v2) = v4) | ~ (left_apart_point(v1, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & unequally_directed_lines(v0, v4) = v11 & reverse_line(v0) = v7 & left_apart_point(v2, v7) = v10 & left_apart_point(v2, v0) = v9 & left_apart_point(v1, v7) = v8 & ( ~ (v5 = 0) | (v6 = 0 & ~ (v11 = 0) & ~ (v10 = 0) & ~ (v9 = 0) & ~ (v8 = 0) & ~ (v3 = 0)))))
% 43.61/15.41 | (124) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (left_apart_point(v3, v2) = v1) | ~ (left_apart_point(v3, v2) = v0))
% 43.61/15.41 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = 0 | v5 = 0 | ~ (reverse_line(v3) = v7) | ~ (reverse_line(v2) = v4) | ~ (left_apart_point(v1, v4) = v6) | ~ (left_apart_point(v0, v4) = 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) = 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)))
% 43.61/15.41 | (126) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (reverse_line(v3) = v5) | ~ (left_apart_point(v1, v3) = v4) | ~ (left_apart_point(v0, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & reverse_line(v2) = v11 & 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 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v12 = 0 | v10 = 0 | v9 = 0 | v8 = 0)))
% 43.61/15.41 | (127) ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection_point(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (point(v2) = v8 & line(v1) = v4 & line(v0) = v3 & unequally_directed_lines(v0, v6) = v7 & unequally_directed_lines(v0, v1) = v5 & reverse_line(v1) = v6 & ( ~ (v7 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v8 = 0)))
% 43.61/15.41 | (128) ! [v0] : ! [v1] : ! [v2] : ( ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v0, v2) = 0) | ? [v3] : ? [v4] : ? [v5] : (left_convergent_lines(v4, v2) = v5 & line_connecting(v0, v1) = v4 & left_apart_point(v1, v2) = v3 & (v5 = 0 | v3 = 0)))
% 43.61/15.41 | (129) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (reverse_line(v2) = v5) | ~ (left_apart_point(v0, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & reverse_line(v3) = v12 & 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 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0 | v7 = 0)))
% 43.61/15.41 | (130) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (reverse_line(v3) = v5) | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v2) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (distinct_lines(v2, v3) = v8 & distinct_points(v0, v1) = v7 & reverse_line(v2) = v12 & 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 & ( ~ (v8 = 0) | ~ (v7 = 0) | v15 = 0 | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0)))
% 43.61/15.41 | (131) ! [v0] : ! [v1] : ~ (left_convergent_lines(v0, v1) = 0)
% 43.61/15.41 | (132) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (reverse_line(v2) = v5) | ~ (left_apart_point(v1, v2) = v4) | ~ (left_apart_point(v0, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & reverse_line(v3) = v12 & 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 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v9 = 0 | v8 = 0)))
% 43.61/15.41 | (133) ! [v0] : ! [v1] : ( ~ (apart_point_and_line(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : (reverse_line(v1) = v3 & left_apart_point(v0, v3) = v4 & left_apart_point(v0, v1) = v2 & (v4 = 0 | v2 = 0)))
% 43.61/15.42 | (134) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (reverse_line(v2) = v1) | ~ (reverse_line(v2) = v0))
% 43.61/15.42 | (135) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v1, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | distinct_points(v0, v2) = 0)
% 43.61/15.42 | (136) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v6 = 0 | v4 = 0 | ~ (reverse_line(v3) = v7) | ~ (reverse_line(v2) = v5) | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, 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) = 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)))
% 43.61/15.42 | (137) ! [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)))
% 43.61/15.42 | (138) ! [v0] : ! [v1] : ( ~ (point(v1) = 0) | ~ (line(v0) = 0) | ? [v2] : (parallel_through_point(v0, v1) = v2 & line(v2) = 0))
% 43.61/15.42 | (139) ! [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))))))
% 43.61/15.42 | (140) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unequally_directed_lines(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (line(v1) = v4 & line(v0) = v3 & unequally_directed_lines(v0, v5) = v6 & reverse_line(v1) = v5 & ( ~ (v4 = 0) | ~ (v3 = 0) | v6 = 0)))
% 43.61/15.42 | (141) ! [v0] : ! [v1] : ! [v2] : ( ~ (unequally_directed_lines(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (convergent_lines(v0, v1) = v3 & unequally_directed_lines(v0, v4) = v5 & reverse_line(v1) = v4 & ( ~ (v3 = 0) | (v5 = 0 & v2 = 0))))
% 43.61/15.42 | (142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (left_apart_point(v1, v2) = v3) | ~ (left_apart_point(v0, v2) = 0) | ? [v4] : ? [v5] : ? [v6] : (left_convergent_lines(v5, v2) = v6 & distinct_points(v0, v1) = v4 & line_connecting(v0, v1) = v5 & ( ~ (v4 = 0) | v6 = 0)))
% 43.61/15.42 | (143) ! [v0] : ~ (distinct_lines(v0, v0) = 0)
% 43.61/15.42 | (144) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | v5 = 0 | ~ (reverse_line(v3) = v6) | ~ (reverse_line(v2) = v4) | ~ (left_apart_point(v1, v6) = v7) | ~ (left_apart_point(v0, v4) = v5) | ? [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)))
% 43.61/15.42 | (145) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (left_convergent_lines(v3, v2) = v4) | ~ (line_connecting(v0, v1) = v3) | ? [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)))
% 43.61/15.42 | (146) ! [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 & reverse_line(v3) = v12 & reverse_line(v2) = v9 & 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 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0)))
% 43.61/15.42 | (147) ! [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))
% 43.61/15.42 | (148) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (before_on_line(v4, v3, v2) = v1) | ~ (before_on_line(v4, v3, v2) = v0))
% 43.61/15.42 | (149) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (line_connecting(v0, v1) = v3) | ~ (left_apart_point(v0, v2) = 0) | ? [v4] : ? [v5] : ? [v6] : (left_convergent_lines(v3, v2) = v6 & distinct_points(v0, v1) = v4 & left_apart_point(v1, v2) = v5 & ( ~ (v4 = 0) | v6 = 0 | v5 = 0)))
% 43.61/15.42 | (150) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unequally_directed_lines(v0, v2) = v3) | ~ (reverse_line(v1) = v2) | ? [v4] : ? [v5] : (convergent_lines(v0, v1) = v4 & unequally_directed_lines(v0, v1) = v5 & ( ~ (v4 = 0) | (v5 = 0 & v3 = 0))))
% 43.61/15.42 | (151) ! [v0] : ! [v1] : ( ~ (reverse_line(v0) = v1) | ? [v2] : ? [v3] : (line(v1) = v3 & line(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 43.61/15.42 | (152) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (reverse_line(v3) = v5) | ~ (left_apart_point(v0, v2) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_lines(v2, v3) = v6 & reverse_line(v2) = v10 & 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 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v12 = 0 | v11 = 0 | v9 = 0 | v8 = 0 | v7 = 0)))
% 43.61/15.42 | (153) ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : (convergent_lines(v0, v1) = v4 & unequally_directed_lines(v0, v2) = v3 & reverse_line(v1) = v2 & ( ~ (v3 = 0) | v4 = 0)))
% 43.61/15.42 | (154) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ (apart_point_and_line(v3, v2) = v0))
% 43.61/15.42 | (155) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unequally_directed_lines(v3, v2) = v1) | ~ (unequally_directed_lines(v3, v2) = v0))
% 43.61/15.42 | (156) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v3 = 0 | ~ (reverse_line(v0) = v4) | ~ (left_apart_point(v2, v4) = v5) | ~ (left_apart_point(v1, v0) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v11 & line_connecting(v1, v2) = v9 & unequally_directed_lines(v0, v9) = v10 & left_apart_point(v2, v0) = v8 & left_apart_point(v1, v4) = v7 & ( ~ (v6 = 0) | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0)))
% 43.61/15.42 | (157) ! [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))))))
% 43.61/15.42 | (158) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v2) = v3) | ~ (left_apart_point(v1, v2) = v5) | ~ (left_apart_point(v0, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : (divides_points(v2, v0, v1) = v8 & left_apart_point(v1, v3) = v7 & left_apart_point(v0, v2) = v6 & (v8 = 0 | (( ~ (v7 = 0) | ~ (v6 = 0)) & ( ~ (v5 = 0) | ~ (v4 = 0))))))
% 43.61/15.42 | (159) ! [v0] : ! [v1] : ! [v2] : ( ~ (divides_points(v2, v0, v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (reverse_line(v2) = v4 & left_apart_point(v1, v4) = v5 & left_apart_point(v1, v2) = v7 & left_apart_point(v0, v4) = v6 & left_apart_point(v0, v2) = v3 & ((v7 = 0 & v6 = 0) | (v5 = 0 & v3 = 0))))
% 43.61/15.42 | (160) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0))
% 43.61/15.42 | (161) ! [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))
% 43.61/15.42 | (162) ! [v0] : ~ (distinct_points(v0, v0) = 0)
% 43.61/15.42 | (163) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (left_convergent_lines(v3, v2) = v1) | ~ (left_convergent_lines(v3, v2) = v0))
% 43.61/15.42 | (164) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (left_apart_point(v2, v0) = v4) | ~ (left_apart_point(v1, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v5 & before_on_line(v0, v1, v2) = v11 & line_connecting(v1, v2) = v9 & unequally_directed_lines(v0, v9) = v10 & reverse_line(v0) = v6 & left_apart_point(v2, v6) = v8 & left_apart_point(v1, v6) = v7 & ( ~ (v5 = 0) | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0)))
% 43.61/15.42 | (165) ! [v0] : ! [v1] : ~ (left_apart_point(v0, v1) = 0)
% 43.61/15.42 | (166) ! [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 & reverse_line(v3) = v12 & reverse_line(v2) = v9 & 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 & ( ~ (v6 = 0) | v14 = 0 | v13 = 0 | v11 = 0 | v10 = 0 | v8 = 0 | v7 = 0)))
% 43.61/15.43 | (167) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v0, v1) = 0) | ~ (left_apart_point(v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : (left_convergent_lines(v5, v2) = v6 & line_connecting(v0, v1) = v5 & left_apart_point(v0, v2) = v4 & ( ~ (v4 = 0) | v6 = 0)))
% 43.61/15.43 | (168) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ~ (reverse_line(v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (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 & reverse_line(v1) = v4 & ( ~ (v5 = 0) | (v9 = 0 & v8 = 0) | (v7 = 0 & v6 = 0))))
% 43.61/15.43 | (169) ! [v0] : ! [v1] : ! [v2] : ( ~ (unequally_directed_lines(v0, v2) = 0) | ~ (reverse_line(v1) = v2) | ? [v3] : ? [v4] : (convergent_lines(v0, v1) = v4 & unequally_directed_lines(v0, v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 43.61/15.43 | (170) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | v4 = 0 | ~ (distinct_lines(v2, v3) = 0) | ~ (reverse_line(v3) = v5) | ~ (left_apart_point(v1, v5) = v6) | ~ (left_apart_point(v0, v3) = v4) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (distinct_points(v0, v1) = v7 & reverse_line(v2) = v11 & 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 & ( ~ (v7 = 0) | v14 = 0 | v13 = 0 | v12 = 0 | v10 = 0 | v9 = 0 | v8 = 0)))
% 43.61/15.43 | (171) ! [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)))
% 43.61/15.43 | (172) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unequally_directed_lines(v1, v2) = v3) | ~ (unequally_directed_lines(v0, v1) = 0) | unequally_directed_lines(v0, v2) = 0)
% 43.61/15.43 | (173) ! [v0] : ! [v1] : ( ~ (unequally_directed_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (left_convergent_lines(v0, v2) = v5 & left_convergent_lines(v0, v1) = v4 & unequally_directed_lines(v0, v2) = v3 & reverse_line(v1) = v2 & ( ~ (v3 = 0) | v5 = 0 | v4 = 0)))
% 43.61/15.43 | (174) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (divides_points(v4, v3, v2) = v1) | ~ (divides_points(v4, v3, v2) = v0))
% 43.61/15.43 | (175) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (unequally_directed_lines(v1, v3) = v5) | ~ (unequally_directed_lines(v0, v3) = v4) | ~ (reverse_line(v2) = v3) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (unequally_directed_lines(v1, v2) = v10 & unequally_directed_lines(v0, v7) = v8 & unequally_directed_lines(v0, v2) = v9 & unequally_directed_lines(v0, v1) = v6 & reverse_line(v1) = v7 & ( ~ (v8 = 0) | ~ (v6 = 0) | (v10 = 0 & v5 = 0) | (v9 = 0 & v4 = 0))))
% 43.61/15.43 | (176) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (reverse_line(v1) = v2) | ~ (left_apart_point(v0, v2) = v3) | ? [v4] : ? [v5] : (apart_point_and_line(v0, v1) = v4 & left_apart_point(v0, v1) = v5 & ( ~ (v4 = 0) | v5 = 0)))
% 43.61/15.43 | (177) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (reverse_line(v0) = v3) | ~ (left_apart_point(v2, v0) = v5) | ~ (left_apart_point(v1, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v7 & before_on_line(v0, v1, v2) = v6 & line_connecting(v1, v2) = v10 & unequally_directed_lines(v0, v10) = v11 & left_apart_point(v2, v3) = v9 & left_apart_point(v1, v0) = v8 & ( ~ (v6 = 0) | (v7 = 0 & ~ (v11 = 0) & ~ (v9 = 0) & ~ (v8 = 0) & ~ (v5 = 0) & ~ (v4 = 0)))))
% 43.61/15.43 | (178) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (line_connecting(v1, v2) = v4) | ~ (left_apart_point(v2, v0) = v3) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (distinct_points(v1, v2) = v6 & before_on_line(v0, v1, v2) = v5 & unequally_directed_lines(v0, v4) = v11 & reverse_line(v0) = v8 & left_apart_point(v2, v8) = v10 & left_apart_point(v1, v8) = v9 & left_apart_point(v1, v0) = v7 & ( ~ (v5 = 0) | (v6 = 0 & ~ (v11 = 0) & ~ (v10 = 0) & ~ (v9 = 0) & ~ (v7 = 0) & ~ (v3 = 0)))))
% 43.61/15.43 | (179) ! [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)))
% 43.61/15.43 |
% 43.61/15.43 | Instantiating (53) with all_1_0_0, all_1_1_1, all_1_2_2 yields:
% 43.61/15.43 | (180) unequally_directed_lines(all_1_0_0, all_1_2_2) = 0 & reverse_line(all_1_1_1) = all_1_0_0 & reverse_line(all_1_2_2) = all_1_1_1
% 43.61/15.43 |
% 43.61/15.43 | Applying alpha-rule on (180) yields:
% 43.61/15.43 | (181) unequally_directed_lines(all_1_0_0, all_1_2_2) = 0
% 43.61/15.43 | (182) reverse_line(all_1_1_1) = all_1_0_0
% 43.61/15.43 | (183) reverse_line(all_1_2_2) = all_1_1_1
% 43.61/15.43 |
% 43.61/15.43 | Instantiating formula (9) with all_1_2_2 yields:
% 43.61/15.43 | (184) ~ (unequally_directed_lines(all_1_2_2, all_1_2_2) = 0)
% 43.61/15.43 |
% 43.61/15.43 | Instantiating formula (98) with 0, 0, all_1_2_2, all_1_0_0, all_1_0_0 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_2_2) = 0, yields:
% 43.61/15.43 | (185) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v3) = v5 & unequally_directed_lines(all_1_0_0, v3) = v4 & unequally_directed_lines(all_1_0_0, v1) = v2 & unequally_directed_lines(all_1_0_0, all_1_0_0) = v0 & reverse_line(all_1_0_0) = v1 & reverse_line(all_1_2_2) = v3 & ( ~ (v2 = 0) | ~ (v0 = 0) | v5 = 0 | v4 = 0))
% 43.61/15.43 |
% 43.61/15.43 | Instantiating formula (52) with 0, all_1_2_2, all_1_2_2, all_1_0_0 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_2_2) = 0, yields:
% 43.61/15.43 | (186) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v2) = v3 & unequally_directed_lines(all_1_0_0, v0) = v1 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v4 & reverse_line(all_1_2_2) = v2 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0)))
% 43.61/15.43 |
% 43.61/15.43 | Instantiating formula (73) with all_1_2_2, all_1_0_0 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_2_2) = 0, yields:
% 43.61/15.43 | (187) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (intersection_point(all_1_0_0, all_1_2_2) = v4 & point(v4) = v5 & line(all_1_0_0) = v0 & line(all_1_2_2) = v1 & unequally_directed_lines(all_1_0_0, v2) = v3 & reverse_line(all_1_2_2) = v2 & ( ~ (v3 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 43.61/15.43 |
% 43.61/15.43 | Instantiating formula (7) with all_1_2_2, all_1_0_0 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_2_2) = 0, yields:
% 43.61/15.43 | (188) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection_point(all_1_0_0, all_1_2_2) = v2 & unequally_directed_lines(all_1_0_0, v0) = v1 & apart_point_and_line(v2, all_1_0_0) = v3 & apart_point_and_line(v2, all_1_2_2) = v4 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0))))
% 43.61/15.43 |
% 43.61/15.43 | Instantiating formula (173) with all_1_2_2, all_1_0_0 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_2_2) = 0, yields:
% 43.61/15.43 | (189) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (left_convergent_lines(all_1_0_0, v0) = v3 & left_convergent_lines(all_1_0_0, all_1_2_2) = v2 & unequally_directed_lines(all_1_0_0, v0) = v1 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | v3 = 0 | v2 = 0))
% 43.61/15.43 |
% 43.61/15.43 | Instantiating formula (153) with all_1_2_2, all_1_0_0 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_2_2) = 0, yields:
% 43.61/15.43 | (190) ? [v0] : ? [v1] : ? [v2] : (convergent_lines(all_1_0_0, all_1_2_2) = v2 & unequally_directed_lines(all_1_0_0, v0) = v1 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | v2 = 0))
% 43.61/15.43 |
% 43.61/15.43 | Instantiating formula (141) with 0, all_1_2_2, all_1_0_0 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_2_2) = 0, yields:
% 43.61/15.43 | (191) ? [v0] : ? [v1] : ? [v2] : (convergent_lines(all_1_0_0, all_1_2_2) = v0 & unequally_directed_lines(all_1_0_0, v1) = v2 & reverse_line(all_1_2_2) = v1 & ( ~ (v0 = 0) | v2 = 0))
% 43.61/15.43 |
% 43.61/15.43 | Instantiating formula (168) with all_1_0_0, all_1_1_1, all_1_2_2, all_1_0_0 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_2_2) = 0, reverse_line(all_1_1_1) = all_1_0_0, yields:
% 43.61/15.43 | (192) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v0) = v1 & unequally_directed_lines(all_1_0_0, all_1_0_0) = v3 & unequally_directed_lines(all_1_0_0, all_1_1_1) = v2 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v5 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v4 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0)))
% 43.61/15.43 |
% 43.61/15.43 | Instantiating formula (36) with 0, all_1_0_0, all_1_2_2, all_1_1_1, all_1_0_0 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_2_2) = 0, reverse_line(all_1_1_1) = all_1_0_0, yields:
% 43.61/15.44 | (193) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v2) = v3 & unequally_directed_lines(all_1_0_0, all_1_0_0) = v1 & unequally_directed_lines(all_1_0_0, all_1_1_1) = v0 & unequally_directed_lines(all_1_1_1, v2) = v5 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & reverse_line(all_1_2_2) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | (v5 = 0 & v4 = 0)))
% 43.61/15.44 |
% 43.61/15.44 | Instantiating formula (168) with all_1_1_1, all_1_2_2, all_1_2_2, all_1_0_0 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_2_2) = 0, reverse_line(all_1_2_2) = all_1_1_1, yields:
% 43.61/15.44 | (194) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v0) = v1 & unequally_directed_lines(all_1_0_0, all_1_1_1) = v3 & unequally_directed_lines(all_1_0_0, all_1_2_2) = v2 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v5 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v4 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0)))
% 43.61/15.44 |
% 43.61/15.44 | Instantiating formula (36) with 0, all_1_1_1, all_1_2_2, all_1_2_2, all_1_0_0 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_2_2) = 0, reverse_line(all_1_2_2) = all_1_1_1, yields:
% 43.61/15.44 | (195) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v2) = v3 & unequally_directed_lines(all_1_0_0, all_1_1_1) = v1 & unequally_directed_lines(all_1_0_0, all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v4 & reverse_line(all_1_2_2) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | (v5 = 0 & v4 = 0)))
% 43.61/15.44 |
% 43.61/15.44 | Instantiating (195) with all_18_0_4, all_18_1_5, all_18_2_6, all_18_3_7, all_18_4_8, all_18_5_9 yields:
% 43.61/15.44 | (196) unequally_directed_lines(all_1_0_0, all_18_3_7) = all_18_2_6 & unequally_directed_lines(all_1_0_0, all_1_1_1) = all_18_4_8 & unequally_directed_lines(all_1_0_0, all_1_2_2) = all_18_5_9 & unequally_directed_lines(all_1_2_2, all_18_3_7) = all_18_0_4 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_18_1_5 & reverse_line(all_1_2_2) = all_18_3_7 & ( ~ (all_18_4_8 = 0) | ~ (all_18_5_9 = 0) | all_18_2_6 = 0 | (all_18_0_4 = 0 & all_18_1_5 = 0))
% 43.61/15.44 |
% 43.61/15.44 | Applying alpha-rule on (196) yields:
% 43.61/15.44 | (197) unequally_directed_lines(all_1_2_2, all_18_3_7) = all_18_0_4
% 43.61/15.44 | (198) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_18_4_8
% 43.61/15.44 | (199) unequally_directed_lines(all_1_0_0, all_1_2_2) = all_18_5_9
% 43.61/15.44 | (200) reverse_line(all_1_2_2) = all_18_3_7
% 43.61/15.44 | (201) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_18_1_5
% 43.61/15.44 | (202) ~ (all_18_4_8 = 0) | ~ (all_18_5_9 = 0) | all_18_2_6 = 0 | (all_18_0_4 = 0 & all_18_1_5 = 0)
% 43.61/15.44 | (203) unequally_directed_lines(all_1_0_0, all_18_3_7) = all_18_2_6
% 43.61/15.44 |
% 43.61/15.44 | Instantiating (194) with all_20_0_10, all_20_1_11, all_20_2_12, all_20_3_13, all_20_4_14, all_20_5_15 yields:
% 43.61/15.44 | (204) unequally_directed_lines(all_1_0_0, all_20_5_15) = all_20_4_14 & unequally_directed_lines(all_1_0_0, all_1_1_1) = all_20_2_12 & unequally_directed_lines(all_1_0_0, all_1_2_2) = all_20_3_13 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_20_0_10 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_20_1_11 & reverse_line(all_1_2_2) = all_20_5_15 & ( ~ (all_20_4_14 = 0) | (all_20_0_10 = 0 & all_20_1_11 = 0) | (all_20_2_12 = 0 & all_20_3_13 = 0))
% 43.61/15.44 |
% 43.61/15.44 | Applying alpha-rule on (204) yields:
% 43.61/15.44 | (205) ~ (all_20_4_14 = 0) | (all_20_0_10 = 0 & all_20_1_11 = 0) | (all_20_2_12 = 0 & all_20_3_13 = 0)
% 43.61/15.44 | (206) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_20_1_11
% 43.61/15.44 | (207) reverse_line(all_1_2_2) = all_20_5_15
% 43.61/15.44 | (208) unequally_directed_lines(all_1_0_0, all_20_5_15) = all_20_4_14
% 43.61/15.44 | (209) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_20_0_10
% 43.61/15.44 | (210) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_20_2_12
% 43.61/15.44 | (211) unequally_directed_lines(all_1_0_0, all_1_2_2) = all_20_3_13
% 43.61/15.44 |
% 43.61/15.44 | Instantiating (193) with all_28_0_21, all_28_1_22, all_28_2_23, all_28_3_24, all_28_4_25, all_28_5_26 yields:
% 43.61/15.44 | (212) unequally_directed_lines(all_1_0_0, all_28_3_24) = all_28_2_23 & unequally_directed_lines(all_1_0_0, all_1_0_0) = all_28_4_25 & unequally_directed_lines(all_1_0_0, all_1_1_1) = all_28_5_26 & unequally_directed_lines(all_1_1_1, all_28_3_24) = all_28_0_21 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_28_1_22 & reverse_line(all_1_2_2) = all_28_3_24 & ( ~ (all_28_4_25 = 0) | ~ (all_28_5_26 = 0) | all_28_2_23 = 0 | (all_28_0_21 = 0 & all_28_1_22 = 0))
% 43.61/15.44 |
% 43.61/15.44 | Applying alpha-rule on (212) yields:
% 43.61/15.44 | (213) unequally_directed_lines(all_1_0_0, all_28_3_24) = all_28_2_23
% 43.61/15.44 | (214) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_28_1_22
% 43.61/15.44 | (215) ~ (all_28_4_25 = 0) | ~ (all_28_5_26 = 0) | all_28_2_23 = 0 | (all_28_0_21 = 0 & all_28_1_22 = 0)
% 43.61/15.44 | (216) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_28_5_26
% 43.61/15.44 | (217) unequally_directed_lines(all_1_0_0, all_1_0_0) = all_28_4_25
% 43.61/15.44 | (218) reverse_line(all_1_2_2) = all_28_3_24
% 43.61/15.44 | (219) unequally_directed_lines(all_1_1_1, all_28_3_24) = all_28_0_21
% 43.61/15.44 |
% 43.61/15.44 | Instantiating (192) with all_30_0_27, all_30_1_28, all_30_2_29, all_30_3_30, all_30_4_31, all_30_5_32 yields:
% 43.61/15.44 | (220) unequally_directed_lines(all_1_0_0, all_30_5_32) = all_30_4_31 & unequally_directed_lines(all_1_0_0, all_1_0_0) = all_30_2_29 & unequally_directed_lines(all_1_0_0, all_1_1_1) = all_30_3_30 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_30_0_27 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_30_1_28 & reverse_line(all_1_2_2) = all_30_5_32 & ( ~ (all_30_4_31 = 0) | (all_30_0_27 = 0 & all_30_1_28 = 0) | (all_30_2_29 = 0 & all_30_3_30 = 0))
% 43.61/15.44 |
% 43.61/15.44 | Applying alpha-rule on (220) yields:
% 43.61/15.44 | (221) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_30_3_30
% 43.61/15.44 | (222) ~ (all_30_4_31 = 0) | (all_30_0_27 = 0 & all_30_1_28 = 0) | (all_30_2_29 = 0 & all_30_3_30 = 0)
% 43.61/15.44 | (223) reverse_line(all_1_2_2) = all_30_5_32
% 43.61/15.44 | (224) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_30_0_27
% 43.61/15.44 | (225) unequally_directed_lines(all_1_0_0, all_30_5_32) = all_30_4_31
% 43.61/15.44 | (226) unequally_directed_lines(all_1_0_0, all_1_0_0) = all_30_2_29
% 43.61/15.44 | (227) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_30_1_28
% 43.61/15.44 |
% 43.61/15.44 | Instantiating (191) with all_32_0_33, all_32_1_34, all_32_2_35 yields:
% 43.61/15.44 | (228) convergent_lines(all_1_0_0, all_1_2_2) = all_32_2_35 & unequally_directed_lines(all_1_0_0, all_32_1_34) = all_32_0_33 & reverse_line(all_1_2_2) = all_32_1_34 & ( ~ (all_32_2_35 = 0) | all_32_0_33 = 0)
% 43.61/15.44 |
% 43.61/15.44 | Applying alpha-rule on (228) yields:
% 43.61/15.44 | (229) convergent_lines(all_1_0_0, all_1_2_2) = all_32_2_35
% 43.61/15.44 | (230) unequally_directed_lines(all_1_0_0, all_32_1_34) = all_32_0_33
% 43.61/15.44 | (231) reverse_line(all_1_2_2) = all_32_1_34
% 43.61/15.44 | (232) ~ (all_32_2_35 = 0) | all_32_0_33 = 0
% 43.61/15.44 |
% 43.61/15.44 | Instantiating (189) with all_34_0_36, all_34_1_37, all_34_2_38, all_34_3_39 yields:
% 43.61/15.44 | (233) left_convergent_lines(all_1_0_0, all_34_3_39) = all_34_0_36 & left_convergent_lines(all_1_0_0, all_1_2_2) = all_34_1_37 & unequally_directed_lines(all_1_0_0, all_34_3_39) = all_34_2_38 & reverse_line(all_1_2_2) = all_34_3_39 & ( ~ (all_34_2_38 = 0) | all_34_0_36 = 0 | all_34_1_37 = 0)
% 43.61/15.44 |
% 43.61/15.44 | Applying alpha-rule on (233) yields:
% 43.61/15.44 | (234) left_convergent_lines(all_1_0_0, all_1_2_2) = all_34_1_37
% 43.61/15.44 | (235) reverse_line(all_1_2_2) = all_34_3_39
% 43.61/15.44 | (236) ~ (all_34_2_38 = 0) | all_34_0_36 = 0 | all_34_1_37 = 0
% 43.61/15.44 | (237) left_convergent_lines(all_1_0_0, all_34_3_39) = all_34_0_36
% 43.61/15.44 | (238) unequally_directed_lines(all_1_0_0, all_34_3_39) = all_34_2_38
% 43.61/15.44 |
% 43.61/15.44 | Instantiating (190) with all_36_0_40, all_36_1_41, all_36_2_42 yields:
% 43.61/15.44 | (239) convergent_lines(all_1_0_0, all_1_2_2) = all_36_0_40 & unequally_directed_lines(all_1_0_0, all_36_2_42) = all_36_1_41 & reverse_line(all_1_2_2) = all_36_2_42 & ( ~ (all_36_1_41 = 0) | all_36_0_40 = 0)
% 43.61/15.44 |
% 43.61/15.44 | Applying alpha-rule on (239) yields:
% 43.61/15.44 | (240) convergent_lines(all_1_0_0, all_1_2_2) = all_36_0_40
% 43.61/15.44 | (241) unequally_directed_lines(all_1_0_0, all_36_2_42) = all_36_1_41
% 43.61/15.44 | (242) reverse_line(all_1_2_2) = all_36_2_42
% 43.61/15.44 | (243) ~ (all_36_1_41 = 0) | all_36_0_40 = 0
% 43.61/15.44 |
% 43.61/15.44 | Instantiating (188) with all_38_0_43, all_38_1_44, all_38_2_45, all_38_3_46, all_38_4_47 yields:
% 43.61/15.44 | (244) intersection_point(all_1_0_0, all_1_2_2) = all_38_2_45 & unequally_directed_lines(all_1_0_0, all_38_4_47) = all_38_3_46 & apart_point_and_line(all_38_2_45, all_1_0_0) = all_38_1_44 & apart_point_and_line(all_38_2_45, all_1_2_2) = all_38_0_43 & reverse_line(all_1_2_2) = all_38_4_47 & ( ~ (all_38_3_46 = 0) | ( ~ (all_38_0_43 = 0) & ~ (all_38_1_44 = 0)))
% 43.61/15.44 |
% 43.61/15.44 | Applying alpha-rule on (244) yields:
% 43.61/15.44 | (245) apart_point_and_line(all_38_2_45, all_1_2_2) = all_38_0_43
% 43.61/15.44 | (246) unequally_directed_lines(all_1_0_0, all_38_4_47) = all_38_3_46
% 43.61/15.44 | (247) reverse_line(all_1_2_2) = all_38_4_47
% 43.61/15.44 | (248) apart_point_and_line(all_38_2_45, all_1_0_0) = all_38_1_44
% 43.61/15.44 | (249) intersection_point(all_1_0_0, all_1_2_2) = all_38_2_45
% 43.61/15.44 | (250) ~ (all_38_3_46 = 0) | ( ~ (all_38_0_43 = 0) & ~ (all_38_1_44 = 0))
% 43.61/15.44 |
% 43.61/15.44 | Instantiating (187) with all_40_0_48, all_40_1_49, all_40_2_50, all_40_3_51, all_40_4_52, all_40_5_53 yields:
% 43.61/15.44 | (251) intersection_point(all_1_0_0, all_1_2_2) = all_40_1_49 & point(all_40_1_49) = all_40_0_48 & line(all_1_0_0) = all_40_5_53 & line(all_1_2_2) = all_40_4_52 & unequally_directed_lines(all_1_0_0, all_40_3_51) = all_40_2_50 & reverse_line(all_1_2_2) = all_40_3_51 & ( ~ (all_40_2_50 = 0) | ~ (all_40_4_52 = 0) | ~ (all_40_5_53 = 0) | all_40_0_48 = 0)
% 43.61/15.44 |
% 43.61/15.44 | Applying alpha-rule on (251) yields:
% 43.61/15.44 | (252) line(all_1_0_0) = all_40_5_53
% 43.61/15.44 | (253) reverse_line(all_1_2_2) = all_40_3_51
% 43.61/15.44 | (254) unequally_directed_lines(all_1_0_0, all_40_3_51) = all_40_2_50
% 43.61/15.44 | (255) point(all_40_1_49) = all_40_0_48
% 43.61/15.44 | (256) ~ (all_40_2_50 = 0) | ~ (all_40_4_52 = 0) | ~ (all_40_5_53 = 0) | all_40_0_48 = 0
% 43.61/15.44 | (257) intersection_point(all_1_0_0, all_1_2_2) = all_40_1_49
% 43.61/15.44 | (258) line(all_1_2_2) = all_40_4_52
% 43.61/15.44 |
% 43.61/15.44 | Instantiating (186) with all_42_0_54, all_42_1_55, all_42_2_56, all_42_3_57, all_42_4_58, all_42_5_59 yields:
% 43.61/15.44 | (259) unequally_directed_lines(all_1_0_0, all_42_3_57) = all_42_2_56 & unequally_directed_lines(all_1_0_0, all_42_5_59) = all_42_4_58 & unequally_directed_lines(all_1_2_2, all_42_3_57) = all_42_0_54 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_42_1_55 & reverse_line(all_1_2_2) = all_42_3_57 & reverse_line(all_1_2_2) = all_42_5_59 & ( ~ (all_42_4_58 = 0) | all_42_2_56 = 0 | (all_42_0_54 = 0 & all_42_1_55 = 0))
% 43.61/15.44 |
% 43.61/15.44 | Applying alpha-rule on (259) yields:
% 43.61/15.44 | (260) reverse_line(all_1_2_2) = all_42_5_59
% 43.61/15.44 | (261) unequally_directed_lines(all_1_0_0, all_42_3_57) = all_42_2_56
% 43.61/15.44 | (262) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_42_1_55
% 43.61/15.44 | (263) unequally_directed_lines(all_1_0_0, all_42_5_59) = all_42_4_58
% 43.61/15.44 | (264) reverse_line(all_1_2_2) = all_42_3_57
% 43.61/15.44 | (265) ~ (all_42_4_58 = 0) | all_42_2_56 = 0 | (all_42_0_54 = 0 & all_42_1_55 = 0)
% 43.61/15.44 | (266) unequally_directed_lines(all_1_2_2, all_42_3_57) = all_42_0_54
% 43.61/15.44 |
% 43.61/15.44 | Instantiating (185) with all_44_0_60, all_44_1_61, all_44_2_62, all_44_3_63, all_44_4_64, all_44_5_65 yields:
% 43.61/15.44 | (267) unequally_directed_lines(all_1_0_0, all_44_2_62) = all_44_0_60 & unequally_directed_lines(all_1_0_0, all_44_2_62) = all_44_1_61 & unequally_directed_lines(all_1_0_0, all_44_4_64) = all_44_3_63 & unequally_directed_lines(all_1_0_0, all_1_0_0) = all_44_5_65 & reverse_line(all_1_0_0) = all_44_4_64 & reverse_line(all_1_2_2) = all_44_2_62 & ( ~ (all_44_3_63 = 0) | ~ (all_44_5_65 = 0) | all_44_0_60 = 0 | all_44_1_61 = 0)
% 43.61/15.44 |
% 43.61/15.44 | Applying alpha-rule on (267) yields:
% 43.61/15.44 | (268) unequally_directed_lines(all_1_0_0, all_1_0_0) = all_44_5_65
% 43.61/15.44 | (269) reverse_line(all_1_2_2) = all_44_2_62
% 43.61/15.44 | (270) ~ (all_44_3_63 = 0) | ~ (all_44_5_65 = 0) | all_44_0_60 = 0 | all_44_1_61 = 0
% 43.61/15.44 | (271) reverse_line(all_1_0_0) = all_44_4_64
% 43.61/15.44 | (272) unequally_directed_lines(all_1_0_0, all_44_4_64) = all_44_3_63
% 43.61/15.44 | (273) unequally_directed_lines(all_1_0_0, all_44_2_62) = all_44_1_61
% 43.61/15.44 | (274) unequally_directed_lines(all_1_0_0, all_44_2_62) = all_44_0_60
% 43.61/15.44 |
% 43.61/15.44 | Instantiating formula (131) with all_1_2_2, all_1_0_0 yields:
% 43.61/15.44 | (275) ~ (left_convergent_lines(all_1_0_0, all_1_2_2) = 0)
% 43.61/15.44 |
% 43.61/15.44 | Instantiating formula (155) with all_1_0_0, all_32_1_34, all_32_0_33, all_36_1_41 and discharging atoms unequally_directed_lines(all_1_0_0, all_32_1_34) = all_32_0_33, yields:
% 43.61/15.44 | (276) all_36_1_41 = all_32_0_33 | ~ (unequally_directed_lines(all_1_0_0, all_32_1_34) = all_36_1_41)
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (155) with all_1_0_0, all_32_1_34, all_32_0_33, all_34_2_38 and discharging atoms unequally_directed_lines(all_1_0_0, all_32_1_34) = all_32_0_33, yields:
% 43.61/15.45 | (277) all_34_2_38 = all_32_0_33 | ~ (unequally_directed_lines(all_1_0_0, all_32_1_34) = all_34_2_38)
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (155) with all_1_0_0, all_30_5_32, all_30_4_31, all_42_4_58 and discharging atoms unequally_directed_lines(all_1_0_0, all_30_5_32) = all_30_4_31, yields:
% 43.61/15.45 | (278) all_42_4_58 = all_30_4_31 | ~ (unequally_directed_lines(all_1_0_0, all_30_5_32) = all_42_4_58)
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (155) with all_1_0_0, all_30_5_32, all_30_4_31, all_40_2_50 and discharging atoms unequally_directed_lines(all_1_0_0, all_30_5_32) = all_30_4_31, yields:
% 43.61/15.45 | (279) all_40_2_50 = all_30_4_31 | ~ (unequally_directed_lines(all_1_0_0, all_30_5_32) = all_40_2_50)
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (155) with all_1_0_0, all_30_5_32, all_30_4_31, all_36_1_41 and discharging atoms unequally_directed_lines(all_1_0_0, all_30_5_32) = all_30_4_31, yields:
% 43.61/15.45 | (280) all_36_1_41 = all_30_4_31 | ~ (unequally_directed_lines(all_1_0_0, all_30_5_32) = all_36_1_41)
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (155) with all_1_0_0, all_28_3_24, all_28_2_23, all_34_2_38 and discharging atoms unequally_directed_lines(all_1_0_0, all_28_3_24) = all_28_2_23, yields:
% 43.61/15.45 | (281) all_34_2_38 = all_28_2_23 | ~ (unequally_directed_lines(all_1_0_0, all_28_3_24) = all_34_2_38)
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (9) with all_1_0_0 yields:
% 43.61/15.45 | (282) ~ (unequally_directed_lines(all_1_0_0, all_1_0_0) = 0)
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (155) with all_1_0_0, all_1_0_0, all_30_2_29, all_44_5_65 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_0_0) = all_44_5_65, unequally_directed_lines(all_1_0_0, all_1_0_0) = all_30_2_29, yields:
% 43.61/15.45 | (283) all_44_5_65 = all_30_2_29
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (155) with all_1_0_0, all_1_0_0, all_28_4_25, all_44_5_65 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_0_0) = all_44_5_65, unequally_directed_lines(all_1_0_0, all_1_0_0) = all_28_4_25, yields:
% 43.61/15.45 | (284) all_44_5_65 = all_28_4_25
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (155) with all_1_0_0, all_1_1_1, all_28_5_26, all_42_2_56 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_1_1) = all_28_5_26, yields:
% 43.61/15.45 | (285) all_42_2_56 = all_28_5_26 | ~ (unequally_directed_lines(all_1_0_0, all_1_1_1) = all_42_2_56)
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (155) with all_1_0_0, all_1_1_1, all_28_5_26, all_40_2_50 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_1_1) = all_28_5_26, yields:
% 43.61/15.45 | (286) all_40_2_50 = all_28_5_26 | ~ (unequally_directed_lines(all_1_0_0, all_1_1_1) = all_40_2_50)
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (155) with all_1_0_0, all_1_1_1, all_28_5_26, all_18_2_6 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_1_1) = all_28_5_26, yields:
% 43.61/15.45 | (287) all_28_5_26 = all_18_2_6 | ~ (unequally_directed_lines(all_1_0_0, all_1_1_1) = all_18_2_6)
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (155) with all_1_0_0, all_1_1_1, all_28_5_26, all_30_3_30 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_1_1) = all_30_3_30, unequally_directed_lines(all_1_0_0, all_1_1_1) = all_28_5_26, yields:
% 43.61/15.45 | (288) all_30_3_30 = all_28_5_26
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (155) with all_1_0_0, all_1_1_1, all_20_2_12, all_30_3_30 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_1_1) = all_30_3_30, unequally_directed_lines(all_1_0_0, all_1_1_1) = all_20_2_12, yields:
% 43.61/15.45 | (289) all_30_3_30 = all_20_2_12
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (155) with all_1_0_0, all_1_1_1, all_18_4_8, all_28_5_26 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_1_1) = all_28_5_26, unequally_directed_lines(all_1_0_0, all_1_1_1) = all_18_4_8, yields:
% 43.61/15.45 | (290) all_28_5_26 = all_18_4_8
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (155) with all_1_0_0, all_1_2_2, all_20_3_13, 0 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_2_2) = all_20_3_13, unequally_directed_lines(all_1_0_0, all_1_2_2) = 0, yields:
% 43.61/15.45 | (291) all_20_3_13 = 0
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (155) with all_1_0_0, all_1_2_2, all_18_5_9, all_20_3_13 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_2_2) = all_20_3_13, unequally_directed_lines(all_1_0_0, all_1_2_2) = all_18_5_9, yields:
% 43.61/15.45 | (292) all_20_3_13 = all_18_5_9
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_30_1_28, all_18_0_4 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_30_1_28, yields:
% 43.61/15.45 | (293) all_30_1_28 = all_18_0_4 | ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = all_18_0_4)
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_20_0_10, all_42_0_54 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_20_0_10, yields:
% 43.61/15.45 | (294) all_42_0_54 = all_20_0_10 | ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = all_42_0_54)
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_20_0_10, all_30_0_27 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_20_0_10, yields:
% 43.61/15.45 | (295) all_30_0_27 = all_20_0_10 | ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = all_30_0_27)
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_20_0_10, all_30_1_28 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_30_1_28, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_20_0_10, yields:
% 43.61/15.45 | (296) all_30_1_28 = all_20_0_10
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (155) with all_1_2_2, all_1_2_2, all_20_1_11, all_42_1_55 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_42_1_55, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_20_1_11, yields:
% 43.61/15.45 | (297) all_42_1_55 = all_20_1_11
% 43.61/15.45 |
% 43.61/15.45 | Using (206) and (184) yields:
% 43.61/15.45 | (298) ~ (all_20_1_11 = 0)
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (155) with all_1_2_2, all_1_2_2, all_18_1_5, all_42_1_55 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_42_1_55, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_18_1_5, yields:
% 43.61/15.45 | (299) all_42_1_55 = all_18_1_5
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (134) with all_1_2_2, all_42_5_59, all_42_3_57 and discharging atoms reverse_line(all_1_2_2) = all_42_3_57, reverse_line(all_1_2_2) = all_42_5_59, yields:
% 43.61/15.45 | (300) all_42_3_57 = all_42_5_59
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (134) with all_1_2_2, all_38_4_47, all_44_2_62 and discharging atoms reverse_line(all_1_2_2) = all_44_2_62, reverse_line(all_1_2_2) = all_38_4_47, yields:
% 43.61/15.45 | (301) all_44_2_62 = all_38_4_47
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (134) with all_1_2_2, all_38_4_47, all_42_5_59 and discharging atoms reverse_line(all_1_2_2) = all_42_5_59, reverse_line(all_1_2_2) = all_38_4_47, yields:
% 43.61/15.45 | (302) all_42_5_59 = all_38_4_47
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (134) with all_1_2_2, all_36_2_42, all_40_3_51 and discharging atoms reverse_line(all_1_2_2) = all_40_3_51, reverse_line(all_1_2_2) = all_36_2_42, yields:
% 43.61/15.45 | (303) all_40_3_51 = all_36_2_42
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (134) with all_1_2_2, all_34_3_39, all_42_3_57 and discharging atoms reverse_line(all_1_2_2) = all_42_3_57, reverse_line(all_1_2_2) = all_34_3_39, yields:
% 43.61/15.45 | (304) all_42_3_57 = all_34_3_39
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (68) with all_34_3_39, all_1_2_2, all_1_0_0 and discharging atoms reverse_line(all_1_2_2) = all_34_3_39, yields:
% 43.61/15.45 | (305) ~ (left_convergent_lines(all_1_0_0, all_34_3_39) = 0)
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (134) with all_1_2_2, all_32_1_34, all_40_3_51 and discharging atoms reverse_line(all_1_2_2) = all_40_3_51, reverse_line(all_1_2_2) = all_32_1_34, yields:
% 43.61/15.45 | (306) all_40_3_51 = all_32_1_34
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (134) with all_1_2_2, all_32_1_34, all_38_4_47 and discharging atoms reverse_line(all_1_2_2) = all_38_4_47, reverse_line(all_1_2_2) = all_32_1_34, yields:
% 43.61/15.45 | (307) all_38_4_47 = all_32_1_34
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (134) with all_1_2_2, all_30_5_32, all_40_3_51 and discharging atoms reverse_line(all_1_2_2) = all_40_3_51, reverse_line(all_1_2_2) = all_30_5_32, yields:
% 43.61/15.45 | (308) all_40_3_51 = all_30_5_32
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (134) with all_1_2_2, all_28_3_24, all_32_1_34 and discharging atoms reverse_line(all_1_2_2) = all_32_1_34, reverse_line(all_1_2_2) = all_28_3_24, yields:
% 43.61/15.45 | (309) all_32_1_34 = all_28_3_24
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (134) with all_1_2_2, all_20_5_15, all_1_1_1 and discharging atoms reverse_line(all_1_2_2) = all_20_5_15, reverse_line(all_1_2_2) = all_1_1_1, yields:
% 43.61/15.45 | (310) all_20_5_15 = all_1_1_1
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (134) with all_1_2_2, all_20_5_15, all_32_1_34 and discharging atoms reverse_line(all_1_2_2) = all_32_1_34, reverse_line(all_1_2_2) = all_20_5_15, yields:
% 43.61/15.45 | (311) all_32_1_34 = all_20_5_15
% 43.61/15.45 |
% 43.61/15.45 | Instantiating formula (134) with all_1_2_2, all_18_3_7, all_44_2_62 and discharging atoms reverse_line(all_1_2_2) = all_44_2_62, reverse_line(all_1_2_2) = all_18_3_7, yields:
% 43.61/15.45 | (312) all_44_2_62 = all_18_3_7
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (301,312) yields a new equation:
% 43.61/15.45 | (313) all_38_4_47 = all_18_3_7
% 43.61/15.45 |
% 43.61/15.45 | Simplifying 313 yields:
% 43.61/15.45 | (314) all_38_4_47 = all_18_3_7
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (284,283) yields a new equation:
% 43.61/15.45 | (315) all_30_2_29 = all_28_4_25
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (297,299) yields a new equation:
% 43.61/15.45 | (316) all_20_1_11 = all_18_1_5
% 43.61/15.45 |
% 43.61/15.45 | Simplifying 316 yields:
% 43.61/15.45 | (317) all_20_1_11 = all_18_1_5
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (300,304) yields a new equation:
% 43.61/15.45 | (318) all_42_5_59 = all_34_3_39
% 43.61/15.45 |
% 43.61/15.45 | Simplifying 318 yields:
% 43.61/15.45 | (319) all_42_5_59 = all_34_3_39
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (302,319) yields a new equation:
% 43.61/15.45 | (320) all_38_4_47 = all_34_3_39
% 43.61/15.45 |
% 43.61/15.45 | Simplifying 320 yields:
% 43.61/15.45 | (321) all_38_4_47 = all_34_3_39
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (308,303) yields a new equation:
% 43.61/15.45 | (322) all_36_2_42 = all_30_5_32
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (306,303) yields a new equation:
% 43.61/15.45 | (323) all_36_2_42 = all_32_1_34
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (307,321) yields a new equation:
% 43.61/15.45 | (324) all_34_3_39 = all_32_1_34
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (314,321) yields a new equation:
% 43.61/15.45 | (325) all_34_3_39 = all_18_3_7
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (323,322) yields a new equation:
% 43.61/15.45 | (326) all_32_1_34 = all_30_5_32
% 43.61/15.45 |
% 43.61/15.45 | Simplifying 326 yields:
% 43.61/15.45 | (327) all_32_1_34 = all_30_5_32
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (324,325) yields a new equation:
% 43.61/15.45 | (328) all_32_1_34 = all_18_3_7
% 43.61/15.45 |
% 43.61/15.45 | Simplifying 328 yields:
% 43.61/15.45 | (329) all_32_1_34 = all_18_3_7
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (309,327) yields a new equation:
% 43.61/15.45 | (330) all_30_5_32 = all_28_3_24
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (311,327) yields a new equation:
% 43.61/15.45 | (331) all_30_5_32 = all_20_5_15
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (329,327) yields a new equation:
% 43.61/15.45 | (332) all_30_5_32 = all_18_3_7
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (288,289) yields a new equation:
% 43.61/15.45 | (333) all_28_5_26 = all_20_2_12
% 43.61/15.45 |
% 43.61/15.45 | Simplifying 333 yields:
% 43.61/15.45 | (334) all_28_5_26 = all_20_2_12
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (331,330) yields a new equation:
% 43.61/15.45 | (335) all_28_3_24 = all_20_5_15
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (332,330) yields a new equation:
% 43.61/15.45 | (336) all_28_3_24 = all_18_3_7
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (335,336) yields a new equation:
% 43.61/15.45 | (337) all_20_5_15 = all_18_3_7
% 43.61/15.45 |
% 43.61/15.45 | Simplifying 337 yields:
% 43.61/15.45 | (338) all_20_5_15 = all_18_3_7
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (290,334) yields a new equation:
% 43.61/15.45 | (339) all_20_2_12 = all_18_4_8
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (292,291) yields a new equation:
% 43.61/15.45 | (340) all_18_5_9 = 0
% 43.61/15.45 |
% 43.61/15.45 | Simplifying 340 yields:
% 43.61/15.45 | (341) all_18_5_9 = 0
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (310,338) yields a new equation:
% 43.61/15.45 | (342) all_18_3_7 = all_1_1_1
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (339,334) yields a new equation:
% 43.61/15.45 | (290) all_28_5_26 = all_18_4_8
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (342,336) yields a new equation:
% 43.61/15.45 | (344) all_28_3_24 = all_1_1_1
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (344,330) yields a new equation:
% 43.61/15.45 | (345) all_30_5_32 = all_1_1_1
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (345,327) yields a new equation:
% 43.61/15.45 | (346) all_32_1_34 = all_1_1_1
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (342,325) yields a new equation:
% 43.61/15.45 | (347) all_34_3_39 = all_1_1_1
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (345,322) yields a new equation:
% 43.61/15.45 | (348) all_36_2_42 = all_1_1_1
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (348,303) yields a new equation:
% 43.61/15.45 | (349) all_40_3_51 = all_1_1_1
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (347,319) yields a new equation:
% 43.61/15.45 | (350) all_42_5_59 = all_1_1_1
% 43.61/15.45 |
% 43.61/15.45 | Combining equations (347,304) yields a new equation:
% 43.61/15.45 | (351) all_42_3_57 = all_1_1_1
% 43.61/15.45 |
% 43.61/15.46 | Equations (317) can reduce 298 to:
% 43.61/15.46 | (352) ~ (all_18_1_5 = 0)
% 43.61/15.46 |
% 43.61/15.46 | From (347) and (237) follows:
% 43.61/15.46 | (353) left_convergent_lines(all_1_0_0, all_1_1_1) = all_34_0_36
% 43.61/15.46 |
% 43.61/15.46 | From (351) and (261) follows:
% 43.61/15.46 | (354) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_42_2_56
% 43.61/15.46 |
% 43.61/15.46 | From (350) and (263) follows:
% 43.61/15.46 | (355) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_42_4_58
% 43.61/15.46 |
% 43.61/15.46 | From (349) and (254) follows:
% 43.61/15.46 | (356) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_40_2_50
% 43.61/15.46 |
% 43.61/15.46 | From (348) and (241) follows:
% 43.61/15.46 | (357) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_36_1_41
% 43.61/15.46 |
% 43.61/15.46 | From (347) and (238) follows:
% 43.61/15.46 | (358) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_34_2_38
% 43.61/15.46 |
% 43.61/15.46 | From (342) and (203) follows:
% 43.61/15.46 | (359) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_18_2_6
% 43.61/15.46 |
% 43.61/15.46 | From (315) and (226) follows:
% 43.61/15.46 | (217) unequally_directed_lines(all_1_0_0, all_1_0_0) = all_28_4_25
% 43.61/15.46 |
% 43.61/15.46 | From (341) and (199) follows:
% 43.61/15.46 | (181) unequally_directed_lines(all_1_0_0, all_1_2_2) = 0
% 43.61/15.46 |
% 43.61/15.46 | From (344) and (219) follows:
% 43.61/15.46 | (362) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_28_0_21
% 43.61/15.46 |
% 43.61/15.46 | From (351) and (266) follows:
% 43.61/15.46 | (363) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_42_0_54
% 43.61/15.46 |
% 43.61/15.46 | From (342) and (197) follows:
% 43.61/15.46 | (364) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_18_0_4
% 43.61/15.46 |
% 43.61/15.46 | From (317) and (206) follows:
% 43.61/15.46 | (201) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_18_1_5
% 43.61/15.46 |
% 43.61/15.46 | From (342) and (200) follows:
% 43.61/15.46 | (183) reverse_line(all_1_2_2) = all_1_1_1
% 43.61/15.46 |
% 43.61/15.46 | From (347) and (305) follows:
% 43.61/15.46 | (367) ~ (left_convergent_lines(all_1_0_0, all_1_1_1) = 0)
% 43.61/15.46 |
% 43.61/15.46 +-Applying beta-rule and splitting (286), into two cases.
% 43.61/15.46 |-Branch one:
% 43.61/15.46 | (368) ~ (unequally_directed_lines(all_1_0_0, all_1_1_1) = all_40_2_50)
% 43.61/15.46 |
% 43.61/15.46 | Using (356) and (368) yields:
% 43.61/15.46 | (369) $false
% 43.61/15.46 |
% 43.61/15.46 |-The branch is then unsatisfiable
% 43.61/15.46 |-Branch two:
% 43.61/15.46 | (356) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_40_2_50
% 43.61/15.46 | (371) all_40_2_50 = all_28_5_26
% 43.61/15.46 |
% 43.61/15.46 | Combining equations (290,371) yields a new equation:
% 43.61/15.46 | (372) all_40_2_50 = all_18_4_8
% 43.61/15.46 |
% 43.61/15.46 +-Applying beta-rule and splitting (285), into two cases.
% 43.61/15.46 |-Branch one:
% 43.61/15.46 | (373) ~ (unequally_directed_lines(all_1_0_0, all_1_1_1) = all_42_2_56)
% 43.61/15.46 |
% 43.61/15.46 | Using (354) and (373) yields:
% 43.61/15.46 | (369) $false
% 43.61/15.46 |
% 43.61/15.46 |-The branch is then unsatisfiable
% 43.61/15.46 |-Branch two:
% 43.61/15.46 | (354) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_42_2_56
% 43.61/15.46 | (376) all_42_2_56 = all_28_5_26
% 43.61/15.46 |
% 43.61/15.46 | Combining equations (290,376) yields a new equation:
% 43.61/15.46 | (377) all_42_2_56 = all_18_4_8
% 43.61/15.46 |
% 43.61/15.46 | From (377) and (354) follows:
% 43.61/15.46 | (198) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_18_4_8
% 43.61/15.46 |
% 43.61/15.46 +-Applying beta-rule and splitting (294), into two cases.
% 43.61/15.46 |-Branch one:
% 43.61/15.46 | (379) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = all_42_0_54)
% 43.61/15.46 |
% 43.61/15.46 | Using (363) and (379) yields:
% 43.61/15.46 | (369) $false
% 43.61/15.46 |
% 43.61/15.46 |-The branch is then unsatisfiable
% 43.61/15.46 |-Branch two:
% 43.61/15.46 | (363) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_42_0_54
% 43.61/15.46 | (382) all_42_0_54 = all_20_0_10
% 43.61/15.46 |
% 43.61/15.46 | From (382) and (363) follows:
% 43.61/15.46 | (209) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_20_0_10
% 43.61/15.46 |
% 43.61/15.46 +-Applying beta-rule and splitting (280), into two cases.
% 43.61/15.46 |-Branch one:
% 43.61/15.46 | (384) ~ (unequally_directed_lines(all_1_0_0, all_30_5_32) = all_36_1_41)
% 43.61/15.46 |
% 43.61/15.46 | From (345) and (384) follows:
% 43.61/15.46 | (385) ~ (unequally_directed_lines(all_1_0_0, all_1_1_1) = all_36_1_41)
% 43.61/15.46 |
% 43.61/15.46 | Using (357) and (385) yields:
% 43.61/15.46 | (369) $false
% 43.61/15.46 |
% 43.61/15.46 |-The branch is then unsatisfiable
% 43.61/15.46 |-Branch two:
% 43.61/15.46 | (387) unequally_directed_lines(all_1_0_0, all_30_5_32) = all_36_1_41
% 43.61/15.46 | (388) all_36_1_41 = all_30_4_31
% 43.61/15.46 |
% 43.61/15.46 | From (388) and (357) follows:
% 43.61/15.46 | (389) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_30_4_31
% 43.61/15.46 |
% 43.61/15.46 +-Applying beta-rule and splitting (279), into two cases.
% 43.61/15.46 |-Branch one:
% 43.61/15.46 | (390) ~ (unequally_directed_lines(all_1_0_0, all_30_5_32) = all_40_2_50)
% 43.61/15.46 |
% 43.61/15.46 | From (345)(372) and (390) follows:
% 43.61/15.46 | (391) ~ (unequally_directed_lines(all_1_0_0, all_1_1_1) = all_18_4_8)
% 43.61/15.46 |
% 43.61/15.46 | Using (198) and (391) yields:
% 43.61/15.46 | (369) $false
% 43.61/15.46 |
% 43.61/15.46 |-The branch is then unsatisfiable
% 43.61/15.46 |-Branch two:
% 43.61/15.46 | (393) unequally_directed_lines(all_1_0_0, all_30_5_32) = all_40_2_50
% 43.61/15.46 | (394) all_40_2_50 = all_30_4_31
% 43.61/15.46 |
% 43.61/15.46 | Combining equations (372,394) yields a new equation:
% 43.61/15.46 | (395) all_30_4_31 = all_18_4_8
% 43.61/15.46 |
% 43.61/15.46 | Combining equations (395,388) yields a new equation:
% 43.61/15.46 | (396) all_36_1_41 = all_18_4_8
% 43.61/15.46 |
% 43.61/15.46 | From (395) and (389) follows:
% 43.61/15.46 | (198) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_18_4_8
% 43.61/15.46 |
% 43.61/15.46 +-Applying beta-rule and splitting (276), into two cases.
% 43.61/15.46 |-Branch one:
% 43.61/15.46 | (398) ~ (unequally_directed_lines(all_1_0_0, all_32_1_34) = all_36_1_41)
% 43.61/15.46 |
% 43.61/15.46 | From (346)(396) and (398) follows:
% 43.61/15.46 | (391) ~ (unequally_directed_lines(all_1_0_0, all_1_1_1) = all_18_4_8)
% 43.61/15.46 |
% 43.61/15.46 | Using (198) and (391) yields:
% 43.61/15.46 | (369) $false
% 43.61/15.46 |
% 43.61/15.46 |-The branch is then unsatisfiable
% 43.61/15.46 |-Branch two:
% 43.61/15.46 | (401) unequally_directed_lines(all_1_0_0, all_32_1_34) = all_36_1_41
% 43.61/15.46 | (402) all_36_1_41 = all_32_0_33
% 43.61/15.46 |
% 43.61/15.46 | Combining equations (396,402) yields a new equation:
% 43.61/15.46 | (403) all_32_0_33 = all_18_4_8
% 43.61/15.46 |
% 43.61/15.46 +-Applying beta-rule and splitting (277), into two cases.
% 43.61/15.46 |-Branch one:
% 43.61/15.46 | (404) ~ (unequally_directed_lines(all_1_0_0, all_32_1_34) = all_34_2_38)
% 43.61/15.46 |
% 43.61/15.46 | From (346) and (404) follows:
% 43.61/15.46 | (405) ~ (unequally_directed_lines(all_1_0_0, all_1_1_1) = all_34_2_38)
% 43.61/15.46 |
% 43.61/15.46 | Using (358) and (405) yields:
% 43.61/15.46 | (369) $false
% 43.61/15.46 |
% 43.61/15.46 |-The branch is then unsatisfiable
% 43.61/15.46 |-Branch two:
% 43.61/15.46 | (407) unequally_directed_lines(all_1_0_0, all_32_1_34) = all_34_2_38
% 43.61/15.46 | (408) all_34_2_38 = all_32_0_33
% 43.61/15.46 |
% 43.61/15.46 | Combining equations (403,408) yields a new equation:
% 43.61/15.46 | (409) all_34_2_38 = all_18_4_8
% 43.61/15.46 |
% 43.61/15.46 +-Applying beta-rule and splitting (278), into two cases.
% 43.61/15.46 |-Branch one:
% 43.61/15.46 | (410) ~ (unequally_directed_lines(all_1_0_0, all_30_5_32) = all_42_4_58)
% 43.61/15.46 |
% 43.61/15.46 | From (345) and (410) follows:
% 43.61/15.46 | (411) ~ (unequally_directed_lines(all_1_0_0, all_1_1_1) = all_42_4_58)
% 43.61/15.46 |
% 43.61/15.46 | Using (355) and (411) yields:
% 43.61/15.46 | (369) $false
% 43.61/15.46 |
% 43.61/15.46 |-The branch is then unsatisfiable
% 43.61/15.46 |-Branch two:
% 43.61/15.46 | (413) unequally_directed_lines(all_1_0_0, all_30_5_32) = all_42_4_58
% 43.61/15.46 | (414) all_42_4_58 = all_30_4_31
% 43.61/15.46 |
% 43.61/15.46 | Combining equations (395,414) yields a new equation:
% 43.61/15.46 | (415) all_42_4_58 = all_18_4_8
% 43.61/15.46 |
% 43.61/15.46 | From (415) and (355) follows:
% 43.61/15.46 | (198) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_18_4_8
% 43.61/15.46 |
% 43.61/15.46 +-Applying beta-rule and splitting (281), into two cases.
% 43.61/15.46 |-Branch one:
% 43.61/15.46 | (417) ~ (unequally_directed_lines(all_1_0_0, all_28_3_24) = all_34_2_38)
% 43.61/15.46 |
% 43.61/15.46 | From (344)(409) and (417) follows:
% 43.61/15.46 | (391) ~ (unequally_directed_lines(all_1_0_0, all_1_1_1) = all_18_4_8)
% 43.61/15.46 |
% 43.61/15.46 | Using (198) and (391) yields:
% 43.61/15.46 | (369) $false
% 43.61/15.46 |
% 43.61/15.46 |-The branch is then unsatisfiable
% 43.61/15.46 |-Branch two:
% 43.61/15.46 | (420) unequally_directed_lines(all_1_0_0, all_28_3_24) = all_34_2_38
% 43.61/15.46 | (421) all_34_2_38 = all_28_2_23
% 43.61/15.46 |
% 43.61/15.46 | Combining equations (409,421) yields a new equation:
% 43.61/15.46 | (422) all_28_2_23 = all_18_4_8
% 43.61/15.46 |
% 43.61/15.46 | Combining equations (422,421) yields a new equation:
% 43.61/15.46 | (409) all_34_2_38 = all_18_4_8
% 43.61/15.46 |
% 43.61/15.46 +-Applying beta-rule and splitting (293), into two cases.
% 43.61/15.46 |-Branch one:
% 43.61/15.46 | (424) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = all_18_0_4)
% 43.61/15.47 |
% 43.61/15.47 | Using (364) and (424) yields:
% 43.61/15.47 | (369) $false
% 43.61/15.47 |
% 43.61/15.47 |-The branch is then unsatisfiable
% 43.61/15.47 |-Branch two:
% 43.61/15.47 | (364) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_18_0_4
% 43.61/15.47 | (427) all_30_1_28 = all_18_0_4
% 43.61/15.47 |
% 43.61/15.47 | Combining equations (296,427) yields a new equation:
% 43.61/15.47 | (428) all_20_0_10 = all_18_0_4
% 43.61/15.47 |
% 43.61/15.47 | Simplifying 428 yields:
% 43.61/15.47 | (429) all_20_0_10 = all_18_0_4
% 43.61/15.47 |
% 43.61/15.47 | From (429) and (209) follows:
% 43.61/15.47 | (364) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_18_0_4
% 43.61/15.47 |
% 43.61/15.47 +-Applying beta-rule and splitting (287), into two cases.
% 43.61/15.47 |-Branch one:
% 43.61/15.47 | (431) ~ (unequally_directed_lines(all_1_0_0, all_1_1_1) = all_18_2_6)
% 43.61/15.47 |
% 43.61/15.47 | Using (359) and (431) yields:
% 43.61/15.47 | (369) $false
% 43.61/15.47 |
% 43.61/15.47 |-The branch is then unsatisfiable
% 43.61/15.47 |-Branch two:
% 43.61/15.47 | (359) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_18_2_6
% 43.61/15.47 | (434) all_28_5_26 = all_18_2_6
% 43.61/15.47 |
% 43.61/15.47 | Combining equations (290,434) yields a new equation:
% 43.61/15.47 | (435) all_18_2_6 = all_18_4_8
% 43.61/15.47 |
% 43.61/15.47 | From (435) and (359) follows:
% 43.61/15.47 | (198) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_18_4_8
% 43.61/15.47 |
% 43.61/15.47 | Instantiating formula (9) with all_1_1_1 yields:
% 43.61/15.47 | (437) ~ (unequally_directed_lines(all_1_1_1, all_1_1_1) = 0)
% 43.61/15.47 |
% 43.61/15.47 | Using (353) and (367) yields:
% 43.61/15.47 | (438) ~ (all_34_0_36 = 0)
% 43.61/15.47 |
% 43.61/15.47 | Using (234) and (275) yields:
% 43.61/15.47 | (439) ~ (all_34_1_37 = 0)
% 43.61/15.47 |
% 43.61/15.47 +-Applying beta-rule and splitting (236), into two cases.
% 43.61/15.47 |-Branch one:
% 43.61/15.47 | (440) ~ (all_34_2_38 = 0)
% 43.61/15.47 |
% 43.61/15.47 | Equations (409) can reduce 440 to:
% 43.61/15.47 | (441) ~ (all_18_4_8 = 0)
% 43.61/15.47 |
% 43.61/15.47 | Instantiating formula (52) with all_44_3_63, all_44_4_64, all_1_2_2, all_1_0_0 and discharging atoms unequally_directed_lines(all_1_0_0, all_44_4_64) = all_44_3_63, unequally_directed_lines(all_1_0_0, all_1_2_2) = 0, yields:
% 43.61/15.47 | (442) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v2) = v3 & unequally_directed_lines(all_1_0_0, v0) = v1 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_44_4_64) = v4 & reverse_line(all_44_4_64) = v2 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_44_3_63 = 0)))
% 43.61/15.47 |
% 43.61/15.47 | Instantiating formula (52) with all_28_4_25, all_1_0_0, all_1_2_2, all_1_0_0 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_0_0) = all_28_4_25, unequally_directed_lines(all_1_0_0, all_1_2_2) = 0, yields:
% 43.61/15.47 | (443) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v2) = v3 & unequally_directed_lines(all_1_0_0, v0) = v1 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v4 & reverse_line(all_1_0_0) = v2 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_28_4_25 = 0)))
% 43.61/15.47 |
% 43.61/15.47 | Instantiating formula (36) with all_28_4_25, all_1_1_1, all_1_0_0, all_1_2_2, all_1_0_0 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_0_0) = all_28_4_25, reverse_line(all_1_2_2) = all_1_1_1, yields:
% 43.61/15.47 | (444) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v2) = v3 & unequally_directed_lines(all_1_0_0, all_1_1_1) = v1 & unequally_directed_lines(all_1_0_0, all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v4 & reverse_line(all_1_0_0) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_28_4_25 = 0)))
% 43.61/15.47 |
% 43.61/15.47 | Instantiating formula (36) with all_28_0_21, all_1_1_1, all_1_1_1, all_1_2_2, all_1_1_1 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_1_1) = all_28_0_21, reverse_line(all_1_2_2) = all_1_1_1, yields:
% 43.61/15.47 | (445) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, v2) = v3 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v1 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v4 & reverse_line(all_1_1_1) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_28_0_21 = 0)))
% 43.61/15.47 |
% 43.61/15.47 | Instantiating formula (52) with all_28_0_21, all_1_1_1, all_1_2_2, all_1_1_1 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_1_1) = all_28_0_21, yields:
% 43.61/15.47 | (446) ~ (unequally_directed_lines(all_1_1_1, all_1_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, v2) = v3 & unequally_directed_lines(all_1_1_1, v0) = v1 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v4 & reverse_line(all_1_1_1) = v2 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_28_0_21 = 0)))
% 43.61/15.47 |
% 43.61/15.47 | Instantiating formula (73) with all_1_2_2, all_1_1_1 yields:
% 43.61/15.47 | (447) ~ (unequally_directed_lines(all_1_1_1, all_1_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (intersection_point(all_1_1_1, all_1_2_2) = v4 & point(v4) = v5 & line(all_1_1_1) = v0 & line(all_1_2_2) = v1 & unequally_directed_lines(all_1_1_1, v2) = v3 & reverse_line(all_1_2_2) = v2 & ( ~ (v3 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 43.61/15.47 |
% 43.61/15.47 | Instantiating formula (7) with all_1_2_2, all_1_1_1 yields:
% 43.61/15.47 | (448) ~ (unequally_directed_lines(all_1_1_1, all_1_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection_point(all_1_1_1, all_1_2_2) = v2 & unequally_directed_lines(all_1_1_1, v0) = v1 & apart_point_and_line(v2, all_1_1_1) = v3 & apart_point_and_line(v2, all_1_2_2) = v4 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0))))
% 43.61/15.47 |
% 43.61/15.47 | Instantiating formula (173) with all_1_2_2, all_1_1_1 yields:
% 43.61/15.47 | (449) ~ (unequally_directed_lines(all_1_1_1, all_1_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (left_convergent_lines(all_1_1_1, v0) = v3 & left_convergent_lines(all_1_1_1, all_1_2_2) = v2 & unequally_directed_lines(all_1_1_1, v0) = v1 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | v3 = 0 | v2 = 0))
% 43.61/15.47 |
% 43.61/15.47 | Instantiating formula (153) with all_1_2_2, all_1_1_1 yields:
% 43.61/15.47 | (450) ~ (unequally_directed_lines(all_1_1_1, all_1_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : (convergent_lines(all_1_1_1, all_1_2_2) = v2 & unequally_directed_lines(all_1_1_1, v0) = v1 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | v2 = 0))
% 43.61/15.47 |
% 43.61/15.47 | Instantiating formula (172) with all_30_0_27, all_1_0_0, all_1_2_2, all_1_0_0 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_2_2) = 0, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_30_0_27, ~ (unequally_directed_lines(all_1_0_0, all_1_0_0) = 0), yields:
% 43.61/15.47 | (451) all_30_0_27 = 0
% 43.61/15.47 |
% 43.61/15.47 | Instantiating formula (32) with all_30_0_27, all_1_0_0, all_1_2_2, all_1_0_0 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_2_2) = 0, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_30_0_27, yields:
% 43.61/15.47 | (452) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v3) = v4 & unequally_directed_lines(all_1_0_0, v0) = v1 & unequally_directed_lines(all_1_0_0, all_1_0_0) = v2 & unequally_directed_lines(all_1_2_2, v3) = v5 & reverse_line(all_1_0_0) = v3 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | (v5 = 0 & all_30_0_27 = 0) | (v4 = 0 & v2 = 0)))
% 43.61/15.47 |
% 43.61/15.47 | Instantiating formula (175) with all_28_4_25, all_30_0_27, all_1_0_0, all_1_1_1, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_0_0) = all_28_4_25, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_30_0_27, reverse_line(all_1_1_1) = all_1_0_0, yields:
% 43.61/15.47 | (453) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_0_0, all_1_1_1) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v0 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v3 & reverse_line(all_1_0_0) = v1 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_28_4_25 = 0) | (v3 = 0 & all_30_0_27 = 0)))
% 43.61/15.47 |
% 43.61/15.47 | Instantiating formula (98) with all_30_0_27, all_28_4_25, all_1_0_0, all_1_2_2, all_1_0_0 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_0_0) = all_28_4_25, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_30_0_27, yields:
% 43.61/15.47 | (454) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v3) = v4 & unequally_directed_lines(all_1_0_0, v1) = v2 & unequally_directed_lines(all_1_0_0, all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v3) = v5 & reverse_line(all_1_0_0) = v3 & reverse_line(all_1_2_2) = v1 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v5 = 0 & all_30_0_27 = 0) | (v4 = 0 & all_28_4_25 = 0)))
% 43.61/15.47 |
% 43.61/15.47 | Instantiating formula (98) with all_28_4_25, all_30_0_27, all_1_0_0, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_0_0) = all_28_4_25, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_30_0_27, yields:
% 43.61/15.47 | (455) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v3) = v5 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v0 & reverse_line(all_1_0_0) = v3 & reverse_line(all_1_0_0) = v1 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v5 = 0 & all_28_4_25 = 0) | (v4 = 0 & all_30_0_27 = 0)))
% 43.61/15.47 |
% 43.61/15.47 | Instantiating formula (67) with all_18_4_8, all_30_0_27, all_1_0_0, all_1_1_1, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_1_1) = all_18_4_8, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_30_0_27, reverse_line(all_1_1_1) = all_1_0_0, yields:
% 43.61/15.47 | (456) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_0_0, all_1_0_0) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v0 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v3 & reverse_line(all_1_0_0) = v1 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_18_4_8 = 0) | (v3 = 0 & all_30_0_27 = 0)))
% 43.61/15.47 |
% 43.61/15.47 | Instantiating formula (93) with all_30_0_27, all_1_0_0, all_28_0_21, all_1_1_1, all_1_2_2, all_1_1_1 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_1_1) = all_28_0_21, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_30_0_27, reverse_line(all_1_1_1) = all_1_0_0, yields:
% 43.61/15.47 | (457) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_1_1, v1) = v2 & unequally_directed_lines(all_1_1_1, all_1_0_0) = v3 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v4 & reverse_line(all_1_2_2) = v1 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_30_0_27 = 0) | (v3 = 0 & all_28_0_21 = 0)))
% 43.61/15.47 |
% 43.61/15.47 | Instantiating formula (67) with all_28_0_21, all_30_0_27, all_1_0_0, all_1_1_1, all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_1_1) = all_28_0_21, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_30_0_27, reverse_line(all_1_1_1) = all_1_0_0, yields:
% 43.61/15.47 | (458) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_1_1, all_1_0_0) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v3 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & reverse_line(all_1_1_1) = v1 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_28_0_21 = 0) | (v3 = 0 & all_30_0_27 = 0)))
% 43.61/15.47 |
% 43.61/15.47 | Instantiating formula (32) with all_30_0_27, all_1_0_0, all_1_2_2, all_1_1_1 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_30_0_27, yields:
% 43.61/15.47 | (459) ~ (unequally_directed_lines(all_1_1_1, all_1_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, v3) = v4 & unequally_directed_lines(all_1_1_1, v0) = v1 & unequally_directed_lines(all_1_1_1, all_1_0_0) = v2 & unequally_directed_lines(all_1_2_2, v3) = v5 & reverse_line(all_1_0_0) = v3 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | (v5 = 0 & all_30_0_27 = 0) | (v4 = 0 & v2 = 0)))
% 43.61/15.47 |
% 43.61/15.47 | Instantiating formula (98) with all_30_0_27, all_30_0_27, all_1_0_0, all_1_2_2, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_30_0_27, yields:
% 43.61/15.47 | (460) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_2_2, v3) = v5 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v0 & reverse_line(all_1_0_0) = v3 & reverse_line(all_1_2_2) = v1 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v5 = 0 & all_30_0_27 = 0) | (v4 = 0 & all_30_0_27 = 0)))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (52) with 0, all_1_0_0, all_1_0_0, all_1_2_2 yields:
% 43.61/15.48 | (461) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v2) = v5 & unequally_directed_lines(all_1_0_0, all_1_0_0) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, v0) = v1 & reverse_line(all_1_0_0) = v2 & reverse_line(all_1_0_0) = v0 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0)))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (103) with all_30_0_27, all_1_0_0, all_1_0_0, all_1_1_1, all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_30_0_27, reverse_line(all_1_1_1) = all_1_0_0, yields:
% 43.61/15.48 | (462) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_1_1, all_1_0_0) = v4 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v3 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v1 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v2 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v4 = 0 & v3 = 0) | (v2 = 0 & all_30_0_27 = 0)))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (150) with all_30_0_27, all_1_0_0, all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_30_0_27, reverse_line(all_1_1_1) = all_1_0_0, yields:
% 43.61/15.48 | (463) ? [v0] : ? [v1] : (convergent_lines(all_1_2_2, all_1_1_1) = v0 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v1 & ( ~ (v0 = 0) | (v1 = 0 & all_30_0_27 = 0)))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (36) with all_30_0_27, all_1_0_0, all_1_0_0, all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_30_0_27, reverse_line(all_1_1_1) = all_1_0_0, yields:
% 43.61/15.48 | (464) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, v2) = v5 & unequally_directed_lines(all_1_1_1, all_1_0_0) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v1 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & reverse_line(all_1_0_0) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_30_0_27 = 0)))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (36) with all_30_0_27, all_1_1_1, all_1_0_0, all_1_2_2, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_30_0_27, reverse_line(all_1_2_2) = all_1_1_1, yields:
% 43.61/15.48 | (465) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v4 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v1 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v0 & reverse_line(all_1_0_0) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_30_0_27 = 0)))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (44) with all_1_0_0, all_1_1_1, all_1_2_2 and discharging atoms reverse_line(all_1_1_1) = all_1_0_0, yields:
% 43.61/15.48 | (466) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection_point(all_1_2_2, all_1_1_1) = v3 & point(v3) = v4 & line(all_1_1_1) = v1 & line(all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (63) with all_1_0_0, all_1_1_1, all_1_2_2 and discharging atoms reverse_line(all_1_1_1) = all_1_0_0, yields:
% 43.61/15.48 | (467) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (intersection_point(all_1_2_2, all_1_1_1) = v1 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & apart_point_and_line(v1, all_1_1_1) = v3 & apart_point_and_line(v1, all_1_2_2) = v2 & ( ~ (v0 = 0) | ( ~ (v3 = 0) & ~ (v2 = 0))))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (72) with all_1_0_0, all_1_1_1, all_1_2_2 and discharging atoms reverse_line(all_1_1_1) = all_1_0_0, yields:
% 43.61/15.48 | (468) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0) | ? [v0] : ? [v1] : ? [v2] : (left_convergent_lines(all_1_2_2, all_1_0_0) = v2 & left_convergent_lines(all_1_2_2, all_1_1_1) = v1 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 = 0))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (168) with all_1_1_1, all_1_2_2, all_1_0_0, all_1_2_2 and discharging atoms reverse_line(all_1_2_2) = all_1_1_1, yields:
% 43.61/15.48 | (469) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, all_1_1_1) = v5 & unequally_directed_lines(all_1_0_0, all_1_2_2) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v3 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v2 & reverse_line(all_1_0_0) = v0 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0)))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (32) with 0, all_1_2_2, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_2_2) = 0, yields:
% 43.61/15.48 | (470) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v3) = v5 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v2 & reverse_line(all_1_0_0) = v0 & reverse_line(all_1_2_2) = v3 & ( ~ (v1 = 0) | v5 = 0 | (v4 = 0 & v2 = 0)))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (32) with all_44_3_63, all_44_4_64, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_0_0, all_44_4_64) = all_44_3_63, yields:
% 43.61/15.48 | (471) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v3) = v5 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_44_4_64) = v2 & reverse_line(all_44_4_64) = v3 & reverse_line(all_1_0_0) = v0 & ( ~ (v1 = 0) | (v5 = 0 & all_44_3_63 = 0) | (v4 = 0 & v2 = 0)))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (32) with all_28_4_25, all_1_0_0, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_0_0) = all_28_4_25, yields:
% 43.61/15.48 | (472) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v3) = v5 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v2 & reverse_line(all_1_0_0) = v3 & reverse_line(all_1_0_0) = v0 & ( ~ (v1 = 0) | (v5 = 0 & all_28_4_25 = 0) | (v4 = 0 & v2 = 0)))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (172) with all_18_4_8, all_1_1_1, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_1_1) = all_18_4_8, yields:
% 43.61/15.48 | (473) all_18_4_8 = 0 | ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0) | unequally_directed_lines(all_1_2_2, all_1_1_1) = 0
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (32) with all_18_4_8, all_1_1_1, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_1_1) = all_18_4_8, yields:
% 43.61/15.48 | (474) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v3) = v5 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v2 & reverse_line(all_1_0_0) = v0 & reverse_line(all_1_1_1) = v3 & ( ~ (v1 = 0) | (v5 = 0 & all_18_4_8 = 0) | (v4 = 0 & v2 = 0)))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (116) with all_28_0_21, all_1_0_0, all_1_1_1, all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_1_1) = all_28_0_21, reverse_line(all_1_1_1) = all_1_0_0, yields:
% 43.61/15.48 | (475) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_1_1, v2) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v1 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & reverse_line(all_1_1_1) = v2 & ( ~ (v0 = 0) | (v4 = 0 & all_28_0_21 = 0) | (v3 = 0 & v1 = 0)))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (116) with all_28_1_22, all_1_0_0, all_1_2_2, all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_28_1_22, reverse_line(all_1_1_1) = all_1_0_0, yields:
% 43.61/15.48 | (476) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_1_1, v2) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v1 & reverse_line(all_1_2_2) = v2 & ( ~ (v0 = 0) | (v4 = 0 & all_28_1_22 = 0) | (v3 = 0 & v1 = 0)))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (73) with all_1_0_0, all_1_2_2 yields:
% 43.61/15.48 | (477) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (intersection_point(all_1_2_2, all_1_0_0) = v4 & point(v4) = v5 & line(all_1_0_0) = v1 & line(all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v2) = v3 & reverse_line(all_1_0_0) = v2 & ( ~ (v3 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (7) with all_1_0_0, all_1_2_2 yields:
% 43.61/15.48 | (478) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection_point(all_1_2_2, all_1_0_0) = v2 & unequally_directed_lines(all_1_2_2, v0) = v1 & apart_point_and_line(v2, all_1_0_0) = v4 & apart_point_and_line(v2, all_1_2_2) = v3 & reverse_line(all_1_0_0) = v0 & ( ~ (v1 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0))))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (173) with all_1_0_0, all_1_2_2 yields:
% 43.61/15.48 | (479) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (left_convergent_lines(all_1_2_2, v0) = v3 & left_convergent_lines(all_1_2_2, all_1_0_0) = v2 & unequally_directed_lines(all_1_2_2, v0) = v1 & reverse_line(all_1_0_0) = v0 & ( ~ (v1 = 0) | v3 = 0 | v2 = 0))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (153) with all_1_0_0, all_1_2_2 yields:
% 43.61/15.48 | (480) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0) | ? [v0] : ? [v1] : ? [v2] : (convergent_lines(all_1_2_2, all_1_0_0) = v2 & unequally_directed_lines(all_1_2_2, v0) = v1 & reverse_line(all_1_0_0) = v0 & ( ~ (v1 = 0) | v2 = 0))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (67) with 0, all_18_0_4, all_1_1_1, all_1_2_2, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_2_2) = 0, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_18_0_4, reverse_line(all_1_2_2) = all_1_1_1, yields:
% 43.61/15.48 | (481) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_0_0, all_1_1_1) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v0 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v3 & reverse_line(all_1_0_0) = v1 & ( ~ (v2 = 0) | ~ (v0 = 0) | v4 = 0 | (v3 = 0 & all_18_0_4 = 0)))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (93) with all_28_4_25, all_1_0_0, all_18_0_4, all_1_1_1, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_0_0) = all_28_4_25, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_18_0_4, reverse_line(all_1_1_1) = all_1_0_0, yields:
% 43.61/15.48 | (482) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_0_0, all_1_1_1) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v3 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v0 & reverse_line(all_1_0_0) = v1 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_28_4_25 = 0) | (v3 = 0 & all_18_0_4 = 0)))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (175) with all_18_4_8, all_18_0_4, all_1_1_1, all_1_2_2, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_1_1) = all_18_4_8, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_18_0_4, reverse_line(all_1_2_2) = all_1_1_1, yields:
% 43.61/15.48 | (483) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_0_0, all_1_2_2) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v0 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v3 & reverse_line(all_1_0_0) = v1 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_18_4_8 = 0) | (v3 = 0 & all_18_0_4 = 0)))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (98) with all_18_4_8, all_18_0_4, all_1_1_1, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_1_1) = all_18_4_8, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_18_0_4, yields:
% 43.61/15.48 | (484) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v3) = v5 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v0 & reverse_line(all_1_0_0) = v1 & reverse_line(all_1_1_1) = v3 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v5 = 0 & all_18_4_8 = 0) | (v4 = 0 & all_18_0_4 = 0)))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (175) with all_28_0_21, all_18_0_4, all_1_1_1, all_1_2_2, all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_1_1) = all_28_0_21, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_18_0_4, reverse_line(all_1_2_2) = all_1_1_1, yields:
% 43.61/15.48 | (485) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v3 & reverse_line(all_1_1_1) = v1 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_28_0_21 = 0) | (v3 = 0 & all_18_0_4 = 0)))
% 43.61/15.48 |
% 43.61/15.48 | Instantiating formula (98) with all_18_0_4, all_28_0_21, all_1_1_1, all_1_2_2, all_1_1_1 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_1_1) = all_28_0_21, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_18_0_4, yields:
% 43.61/15.48 | (486) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, v3) = v4 & unequally_directed_lines(all_1_1_1, v1) = v2 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v3) = v5 & reverse_line(all_1_1_1) = v3 & reverse_line(all_1_2_2) = v1 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v5 = 0 & all_18_0_4 = 0) | (v4 = 0 & all_28_0_21 = 0)))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (98) with all_28_0_21, all_18_0_4, all_1_1_1, all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_1_1) = all_28_0_21, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_18_0_4, yields:
% 43.61/15.49 | (487) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, v3) = v5 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & reverse_line(all_1_1_1) = v3 & reverse_line(all_1_1_1) = v1 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v5 = 0 & all_28_0_21 = 0) | (v4 = 0 & all_18_0_4 = 0)))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (67) with all_28_1_22, all_18_0_4, all_1_1_1, all_1_2_2, all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_28_1_22, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_18_0_4, reverse_line(all_1_2_2) = all_1_1_1, yields:
% 43.61/15.49 | (488) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_1_1, all_1_1_1) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v3 & reverse_line(all_1_1_1) = v1 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_28_1_22 = 0) | (v3 = 0 & all_18_0_4 = 0)))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (32) with all_18_0_4, all_1_1_1, all_1_2_2, all_1_1_1 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_18_0_4, yields:
% 43.61/15.49 | (489) ~ (unequally_directed_lines(all_1_1_1, all_1_2_2) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, v3) = v4 & unequally_directed_lines(all_1_1_1, v0) = v1 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v2 & unequally_directed_lines(all_1_2_2, v3) = v5 & reverse_line(all_1_1_1) = v3 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | (v5 = 0 & all_18_0_4 = 0) | (v4 = 0 & v2 = 0)))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (52) with all_18_0_4, all_1_1_1, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_18_0_4, yields:
% 43.61/15.49 | (490) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v2) = v5 & unequally_directed_lines(all_1_0_0, all_1_1_1) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, v0) = v1 & reverse_line(all_1_0_0) = v0 & reverse_line(all_1_1_1) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_18_0_4 = 0)))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (52) with 0, all_1_1_1, all_1_1_1, all_1_2_2 yields:
% 43.61/15.49 | (491) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, v2) = v5 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, v0) = v1 & reverse_line(all_1_1_1) = v2 & reverse_line(all_1_1_1) = v0 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0)))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (36) with all_18_0_4, all_1_0_0, all_1_1_1, all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_18_0_4, reverse_line(all_1_1_1) = all_1_0_0, yields:
% 43.61/15.49 | (492) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, v2) = v5 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v1 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & reverse_line(all_1_1_1) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_18_0_4 = 0)))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (103) with all_18_0_4, all_1_1_1, all_1_0_0, all_1_2_2, all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_18_0_4, reverse_line(all_1_1_1) = all_1_0_0, reverse_line(all_1_2_2) = all_1_1_1, yields:
% 43.61/15.49 | (493) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_1_1, all_1_1_1) = v4 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v3 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v1 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v4 = 0 & v3 = 0) | (v2 = 0 & all_18_0_4 = 0)))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (150) with all_18_0_4, all_1_1_1, all_1_2_2, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_18_0_4, reverse_line(all_1_2_2) = all_1_1_1, yields:
% 43.61/15.49 | (494) ? [v0] : ? [v1] : (convergent_lines(all_1_2_2, all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v1 & ( ~ (v0 = 0) | (v1 = 0 & all_18_0_4 = 0)))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (44) with all_1_1_1, all_1_2_2, all_1_2_2 and discharging atoms reverse_line(all_1_2_2) = all_1_1_1, yields:
% 43.61/15.49 | (495) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection_point(all_1_2_2, all_1_2_2) = v3 & point(v3) = v4 & line(all_1_2_2) = v1 & line(all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (63) with all_1_1_1, all_1_2_2, all_1_2_2 and discharging atoms reverse_line(all_1_2_2) = all_1_1_1, yields:
% 43.61/15.49 | (496) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (intersection_point(all_1_2_2, all_1_2_2) = v1 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v0 & apart_point_and_line(v1, all_1_2_2) = v3 & apart_point_and_line(v1, all_1_2_2) = v2 & ( ~ (v0 = 0) | ( ~ (v3 = 0) & ~ (v2 = 0))))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (72) with all_1_1_1, all_1_2_2, all_1_2_2 and discharging atoms reverse_line(all_1_2_2) = all_1_1_1, yields:
% 43.61/15.49 | (497) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : (left_convergent_lines(all_1_2_2, all_1_1_1) = v2 & left_convergent_lines(all_1_2_2, all_1_2_2) = v1 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 = 0))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (172) with all_28_1_22, all_1_2_2, all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_28_1_22, ~ (unequally_directed_lines(all_1_2_2, all_1_2_2) = 0), yields:
% 43.61/15.49 | (498) all_28_1_22 = 0 | ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0)
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (32) with all_28_1_22, all_1_2_2, all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_28_1_22, yields:
% 43.61/15.49 | (499) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, v3) = v5 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v2 & reverse_line(all_1_1_1) = v0 & reverse_line(all_1_2_2) = v3 & ( ~ (v1 = 0) | (v5 = 0 & all_28_1_22 = 0) | (v4 = 0 & v2 = 0)))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (52) with all_30_0_27, all_1_0_0, all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_30_0_27, yields:
% 43.61/15.49 | (500) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, v2) = v5 & unequally_directed_lines(all_1_1_1, all_1_0_0) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, v0) = v1 & reverse_line(all_1_0_0) = v2 & reverse_line(all_1_1_1) = v0 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_30_0_27 = 0)))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (73) with all_1_1_1, all_1_2_2 yields:
% 43.61/15.49 | (501) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (intersection_point(all_1_2_2, all_1_1_1) = v4 & point(v4) = v5 & line(all_1_1_1) = v1 & line(all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v2) = v3 & reverse_line(all_1_1_1) = v2 & ( ~ (v3 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (7) with all_1_1_1, all_1_2_2 yields:
% 43.61/15.49 | (502) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection_point(all_1_2_2, all_1_1_1) = v2 & unequally_directed_lines(all_1_2_2, v0) = v1 & apart_point_and_line(v2, all_1_1_1) = v4 & apart_point_and_line(v2, all_1_2_2) = v3 & reverse_line(all_1_1_1) = v0 & ( ~ (v1 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0))))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (173) with all_1_1_1, all_1_2_2 yields:
% 43.61/15.49 | (503) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (left_convergent_lines(all_1_2_2, v0) = v3 & left_convergent_lines(all_1_2_2, all_1_1_1) = v2 & unequally_directed_lines(all_1_2_2, v0) = v1 & reverse_line(all_1_1_1) = v0 & ( ~ (v1 = 0) | v3 = 0 | v2 = 0))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (153) with all_1_1_1, all_1_2_2 yields:
% 43.61/15.49 | (504) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : (convergent_lines(all_1_2_2, all_1_1_1) = v2 & unequally_directed_lines(all_1_2_2, v0) = v1 & reverse_line(all_1_1_1) = v0 & ( ~ (v1 = 0) | v2 = 0))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (98) with 0, all_18_1_5, all_1_2_2, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_2_2) = 0, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_18_1_5, yields:
% 43.61/15.49 | (505) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v3) = v5 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v0 & reverse_line(all_1_0_0) = v1 & reverse_line(all_1_2_2) = v3 & ( ~ (v2 = 0) | ~ (v0 = 0) | v5 = 0 | (v4 = 0 & all_18_1_5 = 0)))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (93) with all_18_4_8, all_1_1_1, all_18_1_5, all_1_2_2, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_1_1) = all_18_4_8, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_18_1_5, reverse_line(all_1_2_2) = all_1_1_1, yields:
% 43.61/15.49 | (506) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_0_0, all_1_2_2) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v0 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v3 & reverse_line(all_1_0_0) = v1 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_18_4_8 = 0) | (v3 = 0 & all_18_1_5 = 0)))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (93) with all_28_0_21, all_1_1_1, all_18_1_5, all_1_2_2, all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_1_1) = all_28_0_21, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_18_1_5, reverse_line(all_1_2_2) = all_1_1_1, yields:
% 43.61/15.49 | (507) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v3 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & reverse_line(all_1_1_1) = v1 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_28_0_21 = 0) | (v3 = 0 & all_18_1_5 = 0)))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (98) with all_28_1_22, all_18_1_5, all_1_2_2, all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_28_1_22, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_18_1_5, yields:
% 43.61/15.49 | (508) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, v3) = v5 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & reverse_line(all_1_1_1) = v1 & reverse_line(all_1_2_2) = v3 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v5 = 0 & all_28_1_22 = 0) | (v4 = 0 & all_18_1_5 = 0)))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (52) with all_18_1_5, all_1_2_2, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_18_1_5, yields:
% 43.61/15.49 | (509) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v2) = v5 & unequally_directed_lines(all_1_0_0, all_1_2_2) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, v0) = v1 & reverse_line(all_1_0_0) = v0 & reverse_line(all_1_2_2) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_18_1_5 = 0)))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (43) with all_18_1_5, all_1_2_2, all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_18_1_5, yields:
% 43.61/15.49 | (510) all_18_1_5 = 0 | ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | unequally_directed_lines(all_1_1_1, all_1_2_2) = 0
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (52) with all_18_1_5, all_1_2_2, all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_18_1_5, yields:
% 43.61/15.49 | (511) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, v2) = v5 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, v0) = v1 & reverse_line(all_1_1_1) = v0 & reverse_line(all_1_2_2) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_18_1_5 = 0)))
% 43.61/15.49 |
% 43.61/15.49 | Instantiating formula (36) with all_18_1_5, all_1_0_0, all_1_2_2, all_1_1_1, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_18_1_5, reverse_line(all_1_1_1) = all_1_0_0, yields:
% 43.61/15.49 | (512) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, v2) = v5 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v1 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & reverse_line(all_1_2_2) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_18_1_5 = 0)))
% 43.61/15.50 |
% 43.61/15.50 | Instantiating formula (140) with all_18_1_5, all_1_2_2, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_18_1_5, yields:
% 43.61/15.50 | (513) all_18_1_5 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (line(all_1_2_2) = v1 & line(all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v2) = v3 & reverse_line(all_1_2_2) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0))
% 43.61/15.50 |
% 43.61/15.50 | Instantiating formula (168) with all_44_4_64, all_1_0_0, all_1_2_2, all_1_0_0 and discharging atoms unequally_directed_lines(all_1_0_0, all_1_2_2) = 0, reverse_line(all_1_0_0) = all_44_4_64, yields:
% 43.61/15.50 | (514) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v0) = v1 & unequally_directed_lines(all_1_0_0, all_44_4_64) = v3 & unequally_directed_lines(all_1_0_0, all_1_0_0) = v2 & unequally_directed_lines(all_1_2_2, all_44_4_64) = v5 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v4 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0)))
% 43.61/15.50 |
% 43.61/15.50 | Instantiating formula (93) with all_44_3_63, all_44_4_64, all_30_0_27, all_1_0_0, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_0_0, all_44_4_64) = all_44_3_63, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_30_0_27, reverse_line(all_1_0_0) = all_44_4_64, yields:
% 43.61/15.50 | (515) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_0_0, all_1_0_0) = v4 & unequally_directed_lines(all_1_2_2, v1) = v2 & unequally_directed_lines(all_1_2_2, all_44_4_64) = v3 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v0 & reverse_line(all_1_0_0) = v1 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_44_3_63 = 0) | (v3 = 0 & all_30_0_27 = 0)))
% 43.61/15.50 |
% 43.61/15.50 | Instantiating formula (103) with all_44_3_63, all_44_4_64, all_1_1_1, all_1_0_0, all_1_2_2, all_1_0_0 and discharging atoms unequally_directed_lines(all_1_0_0, all_44_4_64) = all_44_3_63, reverse_line(all_1_0_0) = all_44_4_64, reverse_line(all_1_2_2) = all_1_1_1, yields:
% 43.61/15.50 | (516) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_0_0, all_1_0_0) = v2 & unequally_directed_lines(all_1_0_0, all_1_1_1) = v1 & unequally_directed_lines(all_1_0_0, all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, all_44_4_64) = v4 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v4 = 0 & v3 = 0) | (v2 = 0 & all_44_3_63 = 0)))
% 43.61/15.50 |
% 43.61/15.50 | Instantiating formula (36) with all_28_1_22, all_44_4_64, all_1_2_2, all_1_0_0, all_1_1_1 and discharging atoms unequally_directed_lines(all_1_1_1, all_1_2_2) = all_28_1_22, reverse_line(all_1_0_0) = all_44_4_64, yields:
% 43.61/15.50 | (517) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v2) = v5 & unequally_directed_lines(all_1_0_0, all_1_2_2) = v4 & unequally_directed_lines(all_1_1_1, v2) = v3 & unequally_directed_lines(all_1_1_1, all_44_4_64) = v1 & unequally_directed_lines(all_1_1_1, all_1_0_0) = v0 & reverse_line(all_1_2_2) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_28_1_22 = 0)))
% 43.61/15.50 |
% 43.61/15.50 | Instantiating formula (103) with all_30_0_27, all_1_0_0, all_44_4_64, all_1_1_1, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_30_0_27, reverse_line(all_1_0_0) = all_44_4_64, reverse_line(all_1_1_1) = all_1_0_0, yields:
% 43.61/15.50 | (518) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_0_0, all_1_0_0) = v4 & unequally_directed_lines(all_1_0_0, all_1_1_1) = v3 & unequally_directed_lines(all_1_2_2, all_44_4_64) = v1 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v0 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v4 = 0 & v3 = 0) | (v2 = 0 & all_30_0_27 = 0)))
% 43.61/15.50 |
% 43.61/15.50 | Instantiating formula (168) with all_44_4_64, all_1_0_0, all_1_0_0, all_1_2_2 and discharging atoms reverse_line(all_1_0_0) = all_44_4_64, yields:
% 43.61/15.50 | (519) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, all_44_4_64) = v5 & unequally_directed_lines(all_1_0_0, all_1_0_0) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_44_4_64) = v3 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v2 & reverse_line(all_1_0_0) = v0 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0)))
% 43.61/15.50 |
% 43.61/15.50 | Instantiating formula (67) with all_30_0_27, all_44_3_63, all_44_4_64, all_1_0_0, all_1_2_2, all_1_0_0 and discharging atoms unequally_directed_lines(all_1_0_0, all_44_4_64) = all_44_3_63, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_30_0_27, reverse_line(all_1_0_0) = all_44_4_64, yields:
% 43.61/15.50 | (520) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_0_0, v1) = v2 & unequally_directed_lines(all_1_0_0, all_1_0_0) = v3 & unequally_directed_lines(all_1_0_0, all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, all_44_4_64) = v4 & reverse_line(all_1_2_2) = v1 & ( ~ (v2 = 0) | ~ (v0 = 0) | (v4 = 0 & all_30_0_27 = 0) | (v3 = 0 & all_44_3_63 = 0)))
% 43.61/15.50 |
% 43.61/15.50 | Instantiating formula (36) with all_30_0_27, all_44_4_64, all_1_0_0, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_30_0_27, reverse_line(all_1_0_0) = all_44_4_64, yields:
% 43.61/15.50 | (521) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v2) = v5 & unequally_directed_lines(all_1_0_0, all_1_0_0) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, all_44_4_64) = v1 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v0 & reverse_line(all_1_0_0) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_30_0_27 = 0)))
% 43.61/15.50 |
% 43.61/15.50 | Instantiating formula (103) with all_18_0_4, all_1_1_1, all_44_4_64, all_1_2_2, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_18_0_4, reverse_line(all_1_0_0) = all_44_4_64, reverse_line(all_1_2_2) = all_1_1_1, yields:
% 43.61/15.50 | (522) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_0_0, all_1_1_1) = v4 & unequally_directed_lines(all_1_0_0, all_1_2_2) = v3 & unequally_directed_lines(all_1_2_2, all_44_4_64) = v1 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v0 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v4 = 0 & v3 = 0) | (v2 = 0 & all_18_0_4 = 0)))
% 43.61/15.50 |
% 43.61/15.50 | Instantiating formula (168) with all_44_4_64, all_1_0_0, all_1_1_1, all_1_2_2 and discharging atoms reverse_line(all_1_0_0) = all_44_4_64, yields:
% 43.61/15.50 | (523) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, all_44_4_64) = v5 & unequally_directed_lines(all_1_1_1, all_1_0_0) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_44_4_64) = v3 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v2 & reverse_line(all_1_1_1) = v0 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0)))
% 43.61/15.50 |
% 43.61/15.50 | Instantiating formula (36) with all_18_0_4, all_44_4_64, all_1_1_1, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_18_0_4, reverse_line(all_1_0_0) = all_44_4_64, yields:
% 43.61/15.50 | (524) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v2) = v5 & unequally_directed_lines(all_1_0_0, all_1_1_1) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, all_44_4_64) = v1 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v0 & reverse_line(all_1_1_1) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_18_0_4 = 0)))
% 43.61/15.50 |
% 43.61/15.50 | Instantiating formula (36) with all_18_1_5, all_44_4_64, all_1_2_2, all_1_0_0, all_1_2_2 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_18_1_5, reverse_line(all_1_0_0) = all_44_4_64, yields:
% 43.61/15.50 | (525) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v2) = v5 & unequally_directed_lines(all_1_0_0, all_1_2_2) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, all_44_4_64) = v1 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v0 & reverse_line(all_1_2_2) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_18_1_5 = 0)))
% 43.61/15.50 |
% 43.61/15.50 | Instantiating (445) with all_152_0_113, all_152_1_114, all_152_2_115, all_152_3_116, all_152_4_117, all_152_5_118 yields:
% 43.61/15.50 | (526) unequally_directed_lines(all_1_1_1, all_152_3_116) = all_152_2_115 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_152_4_117 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_152_5_118 & unequally_directed_lines(all_1_2_2, all_152_3_116) = all_152_0_113 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_152_1_114 & reverse_line(all_1_1_1) = all_152_3_116 & ( ~ (all_152_4_117 = 0) | ~ (all_152_5_118 = 0) | (all_152_0_113 = 0 & all_152_1_114 = 0) | (all_152_2_115 = 0 & all_28_0_21 = 0))
% 43.61/15.50 |
% 43.61/15.50 | Applying alpha-rule on (526) yields:
% 43.61/15.50 | (527) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_152_4_117
% 43.61/15.50 | (528) unequally_directed_lines(all_1_2_2, all_152_3_116) = all_152_0_113
% 43.61/15.50 | (529) ~ (all_152_4_117 = 0) | ~ (all_152_5_118 = 0) | (all_152_0_113 = 0 & all_152_1_114 = 0) | (all_152_2_115 = 0 & all_28_0_21 = 0)
% 43.61/15.50 | (530) unequally_directed_lines(all_1_1_1, all_152_3_116) = all_152_2_115
% 43.61/15.50 | (531) reverse_line(all_1_1_1) = all_152_3_116
% 43.61/15.50 | (532) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_152_5_118
% 43.61/15.50 | (533) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_152_1_114
% 43.61/15.50 |
% 43.61/15.50 | Instantiating (505) with all_162_0_138, all_162_1_139, all_162_2_140, all_162_3_141, all_162_4_142, all_162_5_143 yields:
% 43.61/15.50 | (534) unequally_directed_lines(all_1_0_0, all_162_2_140) = all_162_0_138 & unequally_directed_lines(all_1_2_2, all_162_2_140) = all_162_1_139 & unequally_directed_lines(all_1_2_2, all_162_4_142) = all_162_3_141 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_162_5_143 & reverse_line(all_1_0_0) = all_162_4_142 & reverse_line(all_1_2_2) = all_162_2_140 & ( ~ (all_162_3_141 = 0) | ~ (all_162_5_143 = 0) | all_162_0_138 = 0 | (all_162_1_139 = 0 & all_18_1_5 = 0))
% 43.61/15.50 |
% 43.61/15.50 | Applying alpha-rule on (534) yields:
% 43.61/15.50 | (535) unequally_directed_lines(all_1_0_0, all_162_2_140) = all_162_0_138
% 43.61/15.50 | (536) reverse_line(all_1_2_2) = all_162_2_140
% 43.61/15.50 | (537) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_162_5_143
% 43.61/15.50 | (538) unequally_directed_lines(all_1_2_2, all_162_4_142) = all_162_3_141
% 43.61/15.50 | (539) ~ (all_162_3_141 = 0) | ~ (all_162_5_143 = 0) | all_162_0_138 = 0 | (all_162_1_139 = 0 & all_18_1_5 = 0)
% 43.61/15.50 | (540) reverse_line(all_1_0_0) = all_162_4_142
% 43.61/15.50 | (541) unequally_directed_lines(all_1_2_2, all_162_2_140) = all_162_1_139
% 43.61/15.50 |
% 43.61/15.50 | Instantiating (512) with all_168_0_149, all_168_1_150, all_168_2_151, all_168_3_152, all_168_4_153, all_168_5_154 yields:
% 43.61/15.50 | (542) unequally_directed_lines(all_1_1_1, all_168_3_152) = all_168_0_149 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_168_1_150 & unequally_directed_lines(all_1_2_2, all_168_3_152) = all_168_2_151 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_168_4_153 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_168_5_154 & reverse_line(all_1_2_2) = all_168_3_152 & ( ~ (all_168_4_153 = 0) | ~ (all_168_5_154 = 0) | (all_168_0_149 = 0 & all_168_1_150 = 0) | (all_168_2_151 = 0 & all_18_1_5 = 0))
% 43.61/15.50 |
% 43.61/15.50 | Applying alpha-rule on (542) yields:
% 43.61/15.50 | (543) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_168_5_154
% 43.61/15.50 | (544) unequally_directed_lines(all_1_2_2, all_168_3_152) = all_168_2_151
% 43.61/15.50 | (545) ~ (all_168_4_153 = 0) | ~ (all_168_5_154 = 0) | (all_168_0_149 = 0 & all_168_1_150 = 0) | (all_168_2_151 = 0 & all_18_1_5 = 0)
% 43.61/15.50 | (546) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_168_4_153
% 43.61/15.50 | (547) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_168_1_150
% 43.61/15.50 | (548) reverse_line(all_1_2_2) = all_168_3_152
% 43.61/15.50 | (549) unequally_directed_lines(all_1_1_1, all_168_3_152) = all_168_0_149
% 43.61/15.50 |
% 43.61/15.50 | Instantiating (508) with all_178_0_176, all_178_1_177, all_178_2_178, all_178_3_179, all_178_4_180, all_178_5_181 yields:
% 43.61/15.50 | (550) unequally_directed_lines(all_1_1_1, all_178_2_178) = all_178_0_176 & unequally_directed_lines(all_1_2_2, all_178_2_178) = all_178_1_177 & unequally_directed_lines(all_1_2_2, all_178_4_180) = all_178_3_179 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_178_5_181 & reverse_line(all_1_1_1) = all_178_4_180 & reverse_line(all_1_2_2) = all_178_2_178 & ( ~ (all_178_3_179 = 0) | ~ (all_178_5_181 = 0) | (all_178_0_176 = 0 & all_28_1_22 = 0) | (all_178_1_177 = 0 & all_18_1_5 = 0))
% 43.61/15.50 |
% 43.61/15.50 | Applying alpha-rule on (550) yields:
% 43.61/15.50 | (551) ~ (all_178_3_179 = 0) | ~ (all_178_5_181 = 0) | (all_178_0_176 = 0 & all_28_1_22 = 0) | (all_178_1_177 = 0 & all_18_1_5 = 0)
% 43.61/15.50 | (552) reverse_line(all_1_2_2) = all_178_2_178
% 43.61/15.50 | (553) unequally_directed_lines(all_1_2_2, all_178_4_180) = all_178_3_179
% 43.61/15.50 | (554) reverse_line(all_1_1_1) = all_178_4_180
% 43.61/15.51 | (555) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_178_5_181
% 43.61/15.51 | (556) unequally_directed_lines(all_1_1_1, all_178_2_178) = all_178_0_176
% 43.61/15.51 | (557) unequally_directed_lines(all_1_2_2, all_178_2_178) = all_178_1_177
% 43.61/15.51 |
% 43.61/15.51 | Instantiating (507) with all_180_0_182, all_180_1_183, all_180_2_184, all_180_3_185, all_180_4_186 yields:
% 43.61/15.51 | (558) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_180_0_182 & unequally_directed_lines(all_1_2_2, all_180_3_185) = all_180_2_184 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_180_1_183 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_180_4_186 & reverse_line(all_1_1_1) = all_180_3_185 & ( ~ (all_180_2_184 = 0) | ~ (all_180_4_186 = 0) | (all_180_0_182 = 0 & all_28_0_21 = 0) | (all_180_1_183 = 0 & all_18_1_5 = 0))
% 43.61/15.51 |
% 43.61/15.51 | Applying alpha-rule on (558) yields:
% 43.61/15.51 | (559) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_180_1_183
% 43.61/15.51 | (560) unequally_directed_lines(all_1_2_2, all_180_3_185) = all_180_2_184
% 43.61/15.51 | (561) ~ (all_180_2_184 = 0) | ~ (all_180_4_186 = 0) | (all_180_0_182 = 0 & all_28_0_21 = 0) | (all_180_1_183 = 0 & all_18_1_5 = 0)
% 43.61/15.51 | (562) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_180_4_186
% 43.61/15.51 | (563) reverse_line(all_1_1_1) = all_180_3_185
% 44.01/15.51 | (564) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_180_0_182
% 44.01/15.51 |
% 44.01/15.51 | Instantiating (506) with all_182_0_187, all_182_1_188, all_182_2_189, all_182_3_190, all_182_4_191 yields:
% 44.01/15.51 | (565) unequally_directed_lines(all_1_0_0, all_1_2_2) = all_182_0_187 & unequally_directed_lines(all_1_2_2, all_182_3_190) = all_182_2_189 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_182_4_191 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_182_1_188 & reverse_line(all_1_0_0) = all_182_3_190 & ( ~ (all_182_2_189 = 0) | ~ (all_182_4_191 = 0) | (all_182_0_187 = 0 & all_18_4_8 = 0) | (all_182_1_188 = 0 & all_18_1_5 = 0))
% 44.01/15.51 |
% 44.01/15.51 | Applying alpha-rule on (565) yields:
% 44.01/15.51 | (566) ~ (all_182_2_189 = 0) | ~ (all_182_4_191 = 0) | (all_182_0_187 = 0 & all_18_4_8 = 0) | (all_182_1_188 = 0 & all_18_1_5 = 0)
% 44.01/15.51 | (567) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_182_4_191
% 44.01/15.51 | (568) unequally_directed_lines(all_1_2_2, all_182_3_190) = all_182_2_189
% 44.01/15.51 | (569) unequally_directed_lines(all_1_0_0, all_1_2_2) = all_182_0_187
% 44.01/15.51 | (570) reverse_line(all_1_0_0) = all_182_3_190
% 44.01/15.51 | (571) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_182_1_188
% 44.01/15.51 |
% 44.01/15.51 | Instantiating (516) with all_184_0_192, all_184_1_193, all_184_2_194, all_184_3_195, all_184_4_196 yields:
% 44.01/15.51 | (572) unequally_directed_lines(all_1_0_0, all_1_0_0) = all_184_2_194 & unequally_directed_lines(all_1_0_0, all_1_1_1) = all_184_3_195 & unequally_directed_lines(all_1_0_0, all_1_2_2) = all_184_4_196 & unequally_directed_lines(all_1_2_2, all_44_4_64) = all_184_0_192 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_184_1_193 & ( ~ (all_184_3_195 = 0) | ~ (all_184_4_196 = 0) | (all_184_0_192 = 0 & all_184_1_193 = 0) | (all_184_2_194 = 0 & all_44_3_63 = 0))
% 44.01/15.51 |
% 44.01/15.51 | Applying alpha-rule on (572) yields:
% 44.01/15.51 | (573) ~ (all_184_3_195 = 0) | ~ (all_184_4_196 = 0) | (all_184_0_192 = 0 & all_184_1_193 = 0) | (all_184_2_194 = 0 & all_44_3_63 = 0)
% 44.01/15.51 | (574) unequally_directed_lines(all_1_2_2, all_44_4_64) = all_184_0_192
% 44.01/15.51 | (575) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_184_1_193
% 44.01/15.51 | (576) unequally_directed_lines(all_1_0_0, all_1_2_2) = all_184_4_196
% 44.01/15.51 | (577) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_184_3_195
% 44.01/15.51 | (578) unequally_directed_lines(all_1_0_0, all_1_0_0) = all_184_2_194
% 44.01/15.51 |
% 44.01/15.51 | Instantiating (514) with all_188_0_202, all_188_1_203, all_188_2_204, all_188_3_205, all_188_4_206, all_188_5_207 yields:
% 44.01/15.51 | (579) unequally_directed_lines(all_1_0_0, all_188_5_207) = all_188_4_206 & unequally_directed_lines(all_1_0_0, all_44_4_64) = all_188_2_204 & unequally_directed_lines(all_1_0_0, all_1_0_0) = all_188_3_205 & unequally_directed_lines(all_1_2_2, all_44_4_64) = all_188_0_202 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_188_1_203 & reverse_line(all_1_2_2) = all_188_5_207 & ( ~ (all_188_4_206 = 0) | (all_188_0_202 = 0 & all_188_1_203 = 0) | (all_188_2_204 = 0 & all_188_3_205 = 0))
% 44.01/15.51 |
% 44.01/15.51 | Applying alpha-rule on (579) yields:
% 44.01/15.51 | (580) reverse_line(all_1_2_2) = all_188_5_207
% 44.01/15.51 | (581) unequally_directed_lines(all_1_0_0, all_1_0_0) = all_188_3_205
% 44.01/15.51 | (582) unequally_directed_lines(all_1_0_0, all_44_4_64) = all_188_2_204
% 44.01/15.51 | (583) unequally_directed_lines(all_1_0_0, all_188_5_207) = all_188_4_206
% 44.01/15.51 | (584) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_188_1_203
% 44.01/15.51 | (585) unequally_directed_lines(all_1_2_2, all_44_4_64) = all_188_0_202
% 44.01/15.51 | (586) ~ (all_188_4_206 = 0) | (all_188_0_202 = 0 & all_188_1_203 = 0) | (all_188_2_204 = 0 & all_188_3_205 = 0)
% 44.01/15.51 |
% 44.01/15.51 | Instantiating (494) with all_190_0_208, all_190_1_209 yields:
% 44.01/15.51 | (587) convergent_lines(all_1_2_2, all_1_2_2) = all_190_1_209 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_190_0_208 & ( ~ (all_190_1_209 = 0) | (all_190_0_208 = 0 & all_18_0_4 = 0))
% 44.01/15.51 |
% 44.01/15.51 | Applying alpha-rule on (587) yields:
% 44.01/15.51 | (588) convergent_lines(all_1_2_2, all_1_2_2) = all_190_1_209
% 44.01/15.51 | (589) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_190_0_208
% 44.01/15.51 | (590) ~ (all_190_1_209 = 0) | (all_190_0_208 = 0 & all_18_0_4 = 0)
% 44.01/15.51 |
% 44.01/15.51 | Instantiating (488) with all_192_0_210, all_192_1_211, all_192_2_212, all_192_3_213, all_192_4_214 yields:
% 44.01/15.51 | (591) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_192_0_210 & unequally_directed_lines(all_1_2_2, all_192_3_213) = all_192_2_212 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_192_4_214 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_192_1_211 & reverse_line(all_1_1_1) = all_192_3_213 & ( ~ (all_192_2_212 = 0) | ~ (all_192_4_214 = 0) | (all_192_0_210 = 0 & all_28_1_22 = 0) | (all_192_1_211 = 0 & all_18_0_4 = 0))
% 44.01/15.51 |
% 44.01/15.51 | Applying alpha-rule on (591) yields:
% 44.01/15.51 | (592) ~ (all_192_2_212 = 0) | ~ (all_192_4_214 = 0) | (all_192_0_210 = 0 & all_28_1_22 = 0) | (all_192_1_211 = 0 & all_18_0_4 = 0)
% 44.01/15.51 | (593) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_192_1_211
% 44.01/15.51 | (594) reverse_line(all_1_1_1) = all_192_3_213
% 44.01/15.51 | (595) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_192_4_214
% 44.01/15.51 | (596) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_192_0_210
% 44.01/15.51 | (597) unequally_directed_lines(all_1_2_2, all_192_3_213) = all_192_2_212
% 44.01/15.51 |
% 44.01/15.51 | Instantiating (485) with all_194_0_215, all_194_1_216, all_194_2_217, all_194_3_218, all_194_4_219 yields:
% 44.01/15.51 | (598) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_194_0_215 & unequally_directed_lines(all_1_2_2, all_194_3_218) = all_194_2_217 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_194_4_219 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_194_1_216 & reverse_line(all_1_1_1) = all_194_3_218 & ( ~ (all_194_2_217 = 0) | ~ (all_194_4_219 = 0) | (all_194_0_215 = 0 & all_28_0_21 = 0) | (all_194_1_216 = 0 & all_18_0_4 = 0))
% 44.01/15.51 |
% 44.01/15.51 | Applying alpha-rule on (598) yields:
% 44.01/15.51 | (599) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_194_1_216
% 44.01/15.51 | (600) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_194_4_219
% 44.01/15.51 | (601) ~ (all_194_2_217 = 0) | ~ (all_194_4_219 = 0) | (all_194_0_215 = 0 & all_28_0_21 = 0) | (all_194_1_216 = 0 & all_18_0_4 = 0)
% 44.01/15.51 | (602) reverse_line(all_1_1_1) = all_194_3_218
% 44.01/15.51 | (603) unequally_directed_lines(all_1_2_2, all_194_3_218) = all_194_2_217
% 44.01/15.51 | (604) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_194_0_215
% 44.01/15.51 |
% 44.01/15.51 | Instantiating (484) with all_196_0_220, all_196_1_221, all_196_2_222, all_196_3_223, all_196_4_224, all_196_5_225 yields:
% 44.01/15.51 | (605) unequally_directed_lines(all_1_0_0, all_196_2_222) = all_196_0_220 & unequally_directed_lines(all_1_2_2, all_196_2_222) = all_196_1_221 & unequally_directed_lines(all_1_2_2, all_196_4_224) = all_196_3_223 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_196_5_225 & reverse_line(all_1_0_0) = all_196_4_224 & reverse_line(all_1_1_1) = all_196_2_222 & ( ~ (all_196_3_223 = 0) | ~ (all_196_5_225 = 0) | (all_196_0_220 = 0 & all_18_4_8 = 0) | (all_196_1_221 = 0 & all_18_0_4 = 0))
% 44.01/15.51 |
% 44.01/15.51 | Applying alpha-rule on (605) yields:
% 44.01/15.51 | (606) ~ (all_196_3_223 = 0) | ~ (all_196_5_225 = 0) | (all_196_0_220 = 0 & all_18_4_8 = 0) | (all_196_1_221 = 0 & all_18_0_4 = 0)
% 44.01/15.51 | (607) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_196_5_225
% 44.01/15.51 | (608) reverse_line(all_1_1_1) = all_196_2_222
% 44.01/15.51 | (609) unequally_directed_lines(all_1_2_2, all_196_2_222) = all_196_1_221
% 44.01/15.51 | (610) reverse_line(all_1_0_0) = all_196_4_224
% 44.01/15.51 | (611) unequally_directed_lines(all_1_0_0, all_196_2_222) = all_196_0_220
% 44.01/15.51 | (612) unequally_directed_lines(all_1_2_2, all_196_4_224) = all_196_3_223
% 44.01/15.51 |
% 44.01/15.51 | Instantiating (487) with all_198_0_226, all_198_1_227, all_198_2_228, all_198_3_229, all_198_4_230, all_198_5_231 yields:
% 44.01/15.51 | (613) unequally_directed_lines(all_1_1_1, all_198_2_228) = all_198_0_226 & unequally_directed_lines(all_1_2_2, all_198_2_228) = all_198_1_227 & unequally_directed_lines(all_1_2_2, all_198_4_230) = all_198_3_229 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_198_5_231 & reverse_line(all_1_1_1) = all_198_2_228 & reverse_line(all_1_1_1) = all_198_4_230 & ( ~ (all_198_3_229 = 0) | ~ (all_198_5_231 = 0) | (all_198_0_226 = 0 & all_28_0_21 = 0) | (all_198_1_227 = 0 & all_18_0_4 = 0))
% 44.01/15.51 |
% 44.01/15.51 | Applying alpha-rule on (613) yields:
% 44.01/15.51 | (614) reverse_line(all_1_1_1) = all_198_4_230
% 44.01/15.51 | (615) unequally_directed_lines(all_1_1_1, all_198_2_228) = all_198_0_226
% 44.01/15.51 | (616) unequally_directed_lines(all_1_2_2, all_198_2_228) = all_198_1_227
% 44.01/15.51 | (617) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_198_5_231
% 44.01/15.51 | (618) ~ (all_198_3_229 = 0) | ~ (all_198_5_231 = 0) | (all_198_0_226 = 0 & all_28_0_21 = 0) | (all_198_1_227 = 0 & all_18_0_4 = 0)
% 44.01/15.51 | (619) reverse_line(all_1_1_1) = all_198_2_228
% 44.01/15.51 | (620) unequally_directed_lines(all_1_2_2, all_198_4_230) = all_198_3_229
% 44.01/15.51 |
% 44.01/15.51 | Instantiating (486) with all_200_0_232, all_200_1_233, all_200_2_234, all_200_3_235, all_200_4_236, all_200_5_237 yields:
% 44.01/15.51 | (621) unequally_directed_lines(all_1_1_1, all_200_2_234) = all_200_1_233 & unequally_directed_lines(all_1_1_1, all_200_4_236) = all_200_3_235 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_200_5_237 & unequally_directed_lines(all_1_2_2, all_200_2_234) = all_200_0_232 & reverse_line(all_1_1_1) = all_200_2_234 & reverse_line(all_1_2_2) = all_200_4_236 & ( ~ (all_200_3_235 = 0) | ~ (all_200_5_237 = 0) | (all_200_0_232 = 0 & all_18_0_4 = 0) | (all_200_1_233 = 0 & all_28_0_21 = 0))
% 44.01/15.51 |
% 44.01/15.51 | Applying alpha-rule on (621) yields:
% 44.01/15.51 | (622) unequally_directed_lines(all_1_1_1, all_200_4_236) = all_200_3_235
% 44.01/15.51 | (623) unequally_directed_lines(all_1_2_2, all_200_2_234) = all_200_0_232
% 44.01/15.51 | (624) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_200_5_237
% 44.01/15.51 | (625) ~ (all_200_3_235 = 0) | ~ (all_200_5_237 = 0) | (all_200_0_232 = 0 & all_18_0_4 = 0) | (all_200_1_233 = 0 & all_28_0_21 = 0)
% 44.01/15.51 | (626) unequally_directed_lines(all_1_1_1, all_200_2_234) = all_200_1_233
% 44.01/15.51 | (627) reverse_line(all_1_2_2) = all_200_4_236
% 44.01/15.51 | (628) reverse_line(all_1_1_1) = all_200_2_234
% 44.01/15.51 |
% 44.01/15.51 | Instantiating (515) with all_202_0_238, all_202_1_239, all_202_2_240, all_202_3_241, all_202_4_242 yields:
% 44.01/15.51 | (629) unequally_directed_lines(all_1_0_0, all_1_0_0) = all_202_0_238 & unequally_directed_lines(all_1_2_2, all_202_3_241) = all_202_2_240 & unequally_directed_lines(all_1_2_2, all_44_4_64) = all_202_1_239 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_202_4_242 & reverse_line(all_1_0_0) = all_202_3_241 & ( ~ (all_202_2_240 = 0) | ~ (all_202_4_242 = 0) | (all_202_0_238 = 0 & all_44_3_63 = 0) | (all_202_1_239 = 0 & all_30_0_27 = 0))
% 44.01/15.51 |
% 44.01/15.51 | Applying alpha-rule on (629) yields:
% 44.01/15.51 | (630) unequally_directed_lines(all_1_0_0, all_1_0_0) = all_202_0_238
% 44.01/15.51 | (631) ~ (all_202_2_240 = 0) | ~ (all_202_4_242 = 0) | (all_202_0_238 = 0 & all_44_3_63 = 0) | (all_202_1_239 = 0 & all_30_0_27 = 0)
% 44.01/15.51 | (632) unequally_directed_lines(all_1_2_2, all_44_4_64) = all_202_1_239
% 44.01/15.51 | (633) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_202_4_242
% 44.01/15.51 | (634) unequally_directed_lines(all_1_2_2, all_202_3_241) = all_202_2_240
% 44.01/15.51 | (635) reverse_line(all_1_0_0) = all_202_3_241
% 44.01/15.51 |
% 44.01/15.51 | Instantiating (522) with all_212_0_257, all_212_1_258, all_212_2_259, all_212_3_260, all_212_4_261 yields:
% 44.01/15.51 | (636) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_212_0_257 & unequally_directed_lines(all_1_0_0, all_1_2_2) = all_212_1_258 & unequally_directed_lines(all_1_2_2, all_44_4_64) = all_212_3_260 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_212_4_261 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_212_2_259 & ( ~ (all_212_3_260 = 0) | ~ (all_212_4_261 = 0) | (all_212_0_257 = 0 & all_212_1_258 = 0) | (all_212_2_259 = 0 & all_18_0_4 = 0))
% 44.01/15.52 |
% 44.01/15.52 | Applying alpha-rule on (636) yields:
% 44.01/15.52 | (637) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_212_0_257
% 44.01/15.52 | (638) unequally_directed_lines(all_1_0_0, all_1_2_2) = all_212_1_258
% 44.01/15.52 | (639) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_212_4_261
% 44.01/15.52 | (640) ~ (all_212_3_260 = 0) | ~ (all_212_4_261 = 0) | (all_212_0_257 = 0 & all_212_1_258 = 0) | (all_212_2_259 = 0 & all_18_0_4 = 0)
% 44.01/15.52 | (641) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_212_2_259
% 44.01/15.52 | (642) unequally_directed_lines(all_1_2_2, all_44_4_64) = all_212_3_260
% 44.01/15.52 |
% 44.01/15.52 | Instantiating (521) with all_214_0_262, all_214_1_263, all_214_2_264, all_214_3_265, all_214_4_266, all_214_5_267 yields:
% 44.01/15.52 | (643) unequally_directed_lines(all_1_0_0, all_214_3_265) = all_214_0_262 & unequally_directed_lines(all_1_0_0, all_1_0_0) = all_214_1_263 & unequally_directed_lines(all_1_2_2, all_214_3_265) = all_214_2_264 & unequally_directed_lines(all_1_2_2, all_44_4_64) = all_214_4_266 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_214_5_267 & reverse_line(all_1_0_0) = all_214_3_265 & ( ~ (all_214_4_266 = 0) | ~ (all_214_5_267 = 0) | (all_214_0_262 = 0 & all_214_1_263 = 0) | (all_214_2_264 = 0 & all_30_0_27 = 0))
% 44.01/15.52 |
% 44.01/15.52 | Applying alpha-rule on (643) yields:
% 44.01/15.52 | (644) ~ (all_214_4_266 = 0) | ~ (all_214_5_267 = 0) | (all_214_0_262 = 0 & all_214_1_263 = 0) | (all_214_2_264 = 0 & all_30_0_27 = 0)
% 44.01/15.52 | (645) unequally_directed_lines(all_1_2_2, all_214_3_265) = all_214_2_264
% 44.01/15.52 | (646) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_214_5_267
% 44.01/15.52 | (647) unequally_directed_lines(all_1_0_0, all_1_0_0) = all_214_1_263
% 44.01/15.52 | (648) unequally_directed_lines(all_1_0_0, all_214_3_265) = all_214_0_262
% 44.01/15.52 | (649) unequally_directed_lines(all_1_2_2, all_44_4_64) = all_214_4_266
% 44.01/15.52 | (650) reverse_line(all_1_0_0) = all_214_3_265
% 44.01/15.52 |
% 44.01/15.52 | Instantiating (460) with all_216_0_268, all_216_1_269, all_216_2_270, all_216_3_271, all_216_4_272, all_216_5_273 yields:
% 44.01/15.52 | (651) unequally_directed_lines(all_1_2_2, all_216_2_270) = all_216_0_268 & unequally_directed_lines(all_1_2_2, all_216_2_270) = all_216_1_269 & unequally_directed_lines(all_1_2_2, all_216_4_272) = all_216_3_271 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_216_5_273 & reverse_line(all_1_0_0) = all_216_2_270 & reverse_line(all_1_2_2) = all_216_4_272 & ( ~ (all_216_3_271 = 0) | ~ (all_216_5_273 = 0) | (all_216_0_268 = 0 & all_30_0_27 = 0) | (all_216_1_269 = 0 & all_30_0_27 = 0))
% 44.01/15.52 |
% 44.01/15.52 | Applying alpha-rule on (651) yields:
% 44.01/15.52 | (652) ~ (all_216_3_271 = 0) | ~ (all_216_5_273 = 0) | (all_216_0_268 = 0 & all_30_0_27 = 0) | (all_216_1_269 = 0 & all_30_0_27 = 0)
% 44.01/15.52 | (653) reverse_line(all_1_0_0) = all_216_2_270
% 44.01/15.52 | (654) unequally_directed_lines(all_1_2_2, all_216_4_272) = all_216_3_271
% 44.01/15.52 | (655) unequally_directed_lines(all_1_2_2, all_216_2_270) = all_216_0_268
% 44.01/15.52 | (656) unequally_directed_lines(all_1_2_2, all_216_2_270) = all_216_1_269
% 44.01/15.52 | (657) reverse_line(all_1_2_2) = all_216_4_272
% 44.01/15.52 | (658) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_216_5_273
% 44.01/15.52 |
% 44.01/15.52 | Instantiating (458) with all_218_0_274, all_218_1_275, all_218_2_276, all_218_3_277, all_218_4_278 yields:
% 44.01/15.52 | (659) unequally_directed_lines(all_1_1_1, all_1_0_0) = all_218_0_274 & unequally_directed_lines(all_1_2_2, all_218_3_277) = all_218_2_276 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_218_1_275 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_218_4_278 & reverse_line(all_1_1_1) = all_218_3_277 & ( ~ (all_218_2_276 = 0) | ~ (all_218_4_278 = 0) | (all_218_0_274 = 0 & all_28_0_21 = 0) | (all_218_1_275 = 0 & all_30_0_27 = 0))
% 44.01/15.52 |
% 44.01/15.52 | Applying alpha-rule on (659) yields:
% 44.01/15.52 | (660) unequally_directed_lines(all_1_1_1, all_1_0_0) = all_218_0_274
% 44.01/15.52 | (661) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_218_1_275
% 44.01/15.52 | (662) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_218_4_278
% 44.01/15.52 | (663) unequally_directed_lines(all_1_2_2, all_218_3_277) = all_218_2_276
% 44.01/15.52 | (664) ~ (all_218_2_276 = 0) | ~ (all_218_4_278 = 0) | (all_218_0_274 = 0 & all_28_0_21 = 0) | (all_218_1_275 = 0 & all_30_0_27 = 0)
% 44.01/15.52 | (665) reverse_line(all_1_1_1) = all_218_3_277
% 44.01/15.52 |
% 44.01/15.52 | Instantiating (457) with all_220_0_279, all_220_1_280, all_220_2_281, all_220_3_282, all_220_4_283 yields:
% 44.01/15.52 | (666) unequally_directed_lines(all_1_1_1, all_220_3_282) = all_220_2_281 & unequally_directed_lines(all_1_1_1, all_1_0_0) = all_220_1_280 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_220_4_283 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_220_0_279 & reverse_line(all_1_2_2) = all_220_3_282 & ( ~ (all_220_2_281 = 0) | ~ (all_220_4_283 = 0) | (all_220_0_279 = 0 & all_30_0_27 = 0) | (all_220_1_280 = 0 & all_28_0_21 = 0))
% 44.01/15.52 |
% 44.01/15.52 | Applying alpha-rule on (666) yields:
% 44.01/15.52 | (667) reverse_line(all_1_2_2) = all_220_3_282
% 44.01/15.52 | (668) ~ (all_220_2_281 = 0) | ~ (all_220_4_283 = 0) | (all_220_0_279 = 0 & all_30_0_27 = 0) | (all_220_1_280 = 0 & all_28_0_21 = 0)
% 44.01/15.52 | (669) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_220_0_279
% 44.01/15.52 | (670) unequally_directed_lines(all_1_1_1, all_1_0_0) = all_220_1_280
% 44.01/15.52 | (671) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_220_4_283
% 44.01/15.52 | (672) unequally_directed_lines(all_1_1_1, all_220_3_282) = all_220_2_281
% 44.01/15.52 |
% 44.01/15.52 | Instantiating (456) with all_222_0_284, all_222_1_285, all_222_2_286, all_222_3_287, all_222_4_288 yields:
% 44.01/15.52 | (673) unequally_directed_lines(all_1_0_0, all_1_0_0) = all_222_0_284 & unequally_directed_lines(all_1_2_2, all_222_3_287) = all_222_2_286 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_222_4_288 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_222_1_285 & reverse_line(all_1_0_0) = all_222_3_287 & ( ~ (all_222_2_286 = 0) | ~ (all_222_4_288 = 0) | (all_222_0_284 = 0 & all_18_4_8 = 0) | (all_222_1_285 = 0 & all_30_0_27 = 0))
% 44.01/15.52 |
% 44.01/15.52 | Applying alpha-rule on (673) yields:
% 44.01/15.52 | (674) unequally_directed_lines(all_1_2_2, all_222_3_287) = all_222_2_286
% 44.01/15.52 | (675) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_222_1_285
% 44.01/15.52 | (676) unequally_directed_lines(all_1_0_0, all_1_0_0) = all_222_0_284
% 44.01/15.52 | (677) ~ (all_222_2_286 = 0) | ~ (all_222_4_288 = 0) | (all_222_0_284 = 0 & all_18_4_8 = 0) | (all_222_1_285 = 0 & all_30_0_27 = 0)
% 44.01/15.52 | (678) reverse_line(all_1_0_0) = all_222_3_287
% 44.01/15.52 | (679) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_222_4_288
% 44.01/15.52 |
% 44.01/15.52 | Instantiating (455) with all_224_0_289, all_224_1_290, all_224_2_291, all_224_3_292, all_224_4_293, all_224_5_294 yields:
% 44.01/15.52 | (680) unequally_directed_lines(all_1_0_0, all_224_2_291) = all_224_0_289 & unequally_directed_lines(all_1_2_2, all_224_2_291) = all_224_1_290 & unequally_directed_lines(all_1_2_2, all_224_4_293) = all_224_3_292 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_224_5_294 & reverse_line(all_1_0_0) = all_224_2_291 & reverse_line(all_1_0_0) = all_224_4_293 & ( ~ (all_224_3_292 = 0) | ~ (all_224_5_294 = 0) | (all_224_0_289 = 0 & all_28_4_25 = 0) | (all_224_1_290 = 0 & all_30_0_27 = 0))
% 44.01/15.52 |
% 44.01/15.52 | Applying alpha-rule on (680) yields:
% 44.01/15.52 | (681) unequally_directed_lines(all_1_0_0, all_224_2_291) = all_224_0_289
% 44.01/15.52 | (682) reverse_line(all_1_0_0) = all_224_4_293
% 44.01/15.52 | (683) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_224_5_294
% 44.01/15.52 | (684) ~ (all_224_3_292 = 0) | ~ (all_224_5_294 = 0) | (all_224_0_289 = 0 & all_28_4_25 = 0) | (all_224_1_290 = 0 & all_30_0_27 = 0)
% 44.01/15.52 | (685) unequally_directed_lines(all_1_2_2, all_224_4_293) = all_224_3_292
% 44.01/15.52 | (686) reverse_line(all_1_0_0) = all_224_2_291
% 44.01/15.52 | (687) unequally_directed_lines(all_1_2_2, all_224_2_291) = all_224_1_290
% 44.01/15.52 |
% 44.01/15.52 | Instantiating (453) with all_226_0_295, all_226_1_296, all_226_2_297, all_226_3_298, all_226_4_299 yields:
% 44.01/15.52 | (688) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_226_0_295 & unequally_directed_lines(all_1_2_2, all_226_3_298) = all_226_2_297 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_226_4_299 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_226_1_296 & reverse_line(all_1_0_0) = all_226_3_298 & ( ~ (all_226_2_297 = 0) | ~ (all_226_4_299 = 0) | (all_226_0_295 = 0 & all_28_4_25 = 0) | (all_226_1_296 = 0 & all_30_0_27 = 0))
% 44.01/15.52 |
% 44.01/15.52 | Applying alpha-rule on (688) yields:
% 44.01/15.52 | (689) ~ (all_226_2_297 = 0) | ~ (all_226_4_299 = 0) | (all_226_0_295 = 0 & all_28_4_25 = 0) | (all_226_1_296 = 0 & all_30_0_27 = 0)
% 44.01/15.52 | (690) reverse_line(all_1_0_0) = all_226_3_298
% 44.01/15.52 | (691) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_226_0_295
% 44.01/15.52 | (692) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_226_1_296
% 44.01/15.52 | (693) unequally_directed_lines(all_1_2_2, all_226_3_298) = all_226_2_297
% 44.01/15.52 | (694) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_226_4_299
% 44.01/15.52 |
% 44.01/15.52 | Instantiating (452) with all_228_0_300, all_228_1_301, all_228_2_302, all_228_3_303, all_228_4_304, all_228_5_305 yields:
% 44.01/15.52 | (695) unequally_directed_lines(all_1_0_0, all_228_2_302) = all_228_1_301 & unequally_directed_lines(all_1_0_0, all_228_5_305) = all_228_4_304 & unequally_directed_lines(all_1_0_0, all_1_0_0) = all_228_3_303 & unequally_directed_lines(all_1_2_2, all_228_2_302) = all_228_0_300 & reverse_line(all_1_0_0) = all_228_2_302 & reverse_line(all_1_2_2) = all_228_5_305 & ( ~ (all_228_4_304 = 0) | (all_228_0_300 = 0 & all_30_0_27 = 0) | (all_228_1_301 = 0 & all_228_3_303 = 0))
% 44.01/15.52 |
% 44.01/15.52 | Applying alpha-rule on (695) yields:
% 44.01/15.52 | (696) unequally_directed_lines(all_1_0_0, all_228_2_302) = all_228_1_301
% 44.01/15.52 | (697) ~ (all_228_4_304 = 0) | (all_228_0_300 = 0 & all_30_0_27 = 0) | (all_228_1_301 = 0 & all_228_3_303 = 0)
% 44.01/15.52 | (698) unequally_directed_lines(all_1_0_0, all_228_5_305) = all_228_4_304
% 44.01/15.52 | (699) reverse_line(all_1_2_2) = all_228_5_305
% 44.01/15.52 | (700) unequally_directed_lines(all_1_0_0, all_1_0_0) = all_228_3_303
% 44.01/15.52 | (701) reverse_line(all_1_0_0) = all_228_2_302
% 44.01/15.52 | (702) unequally_directed_lines(all_1_2_2, all_228_2_302) = all_228_0_300
% 44.01/15.52 |
% 44.01/15.52 | Instantiating (454) with all_230_0_306, all_230_1_307, all_230_2_308, all_230_3_309, all_230_4_310, all_230_5_311 yields:
% 44.01/15.52 | (703) unequally_directed_lines(all_1_0_0, all_230_2_308) = all_230_1_307 & unequally_directed_lines(all_1_0_0, all_230_4_310) = all_230_3_309 & unequally_directed_lines(all_1_0_0, all_1_2_2) = all_230_5_311 & unequally_directed_lines(all_1_2_2, all_230_2_308) = all_230_0_306 & reverse_line(all_1_0_0) = all_230_2_308 & reverse_line(all_1_2_2) = all_230_4_310 & ( ~ (all_230_3_309 = 0) | ~ (all_230_5_311 = 0) | (all_230_0_306 = 0 & all_30_0_27 = 0) | (all_230_1_307 = 0 & all_28_4_25 = 0))
% 44.01/15.52 |
% 44.01/15.52 | Applying alpha-rule on (703) yields:
% 44.01/15.52 | (704) ~ (all_230_3_309 = 0) | ~ (all_230_5_311 = 0) | (all_230_0_306 = 0 & all_30_0_27 = 0) | (all_230_1_307 = 0 & all_28_4_25 = 0)
% 44.01/15.52 | (705) unequally_directed_lines(all_1_0_0, all_230_2_308) = all_230_1_307
% 44.01/15.52 | (706) reverse_line(all_1_0_0) = all_230_2_308
% 44.01/15.52 | (707) unequally_directed_lines(all_1_2_2, all_230_2_308) = all_230_0_306
% 44.01/15.52 | (708) reverse_line(all_1_2_2) = all_230_4_310
% 44.01/15.52 | (709) unequally_directed_lines(all_1_0_0, all_230_4_310) = all_230_3_309
% 44.01/15.52 | (710) unequally_directed_lines(all_1_0_0, all_1_2_2) = all_230_5_311
% 44.01/15.52 |
% 44.01/15.52 | Instantiating (517) with all_232_0_312, all_232_1_313, all_232_2_314, all_232_3_315, all_232_4_316, all_232_5_317 yields:
% 44.01/15.52 | (711) unequally_directed_lines(all_1_0_0, all_232_3_315) = all_232_0_312 & unequally_directed_lines(all_1_0_0, all_1_2_2) = all_232_1_313 & unequally_directed_lines(all_1_1_1, all_232_3_315) = all_232_2_314 & unequally_directed_lines(all_1_1_1, all_44_4_64) = all_232_4_316 & unequally_directed_lines(all_1_1_1, all_1_0_0) = all_232_5_317 & reverse_line(all_1_2_2) = all_232_3_315 & ( ~ (all_232_4_316 = 0) | ~ (all_232_5_317 = 0) | (all_232_0_312 = 0 & all_232_1_313 = 0) | (all_232_2_314 = 0 & all_28_1_22 = 0))
% 44.01/15.52 |
% 44.01/15.52 | Applying alpha-rule on (711) yields:
% 44.01/15.52 | (712) unequally_directed_lines(all_1_1_1, all_232_3_315) = all_232_2_314
% 44.01/15.52 | (713) reverse_line(all_1_2_2) = all_232_3_315
% 44.01/15.53 | (714) unequally_directed_lines(all_1_1_1, all_1_0_0) = all_232_5_317
% 44.01/15.53 | (715) unequally_directed_lines(all_1_0_0, all_1_2_2) = all_232_1_313
% 44.01/15.53 | (716) unequally_directed_lines(all_1_0_0, all_232_3_315) = all_232_0_312
% 44.01/15.53 | (717) ~ (all_232_4_316 = 0) | ~ (all_232_5_317 = 0) | (all_232_0_312 = 0 & all_232_1_313 = 0) | (all_232_2_314 = 0 & all_28_1_22 = 0)
% 44.01/15.53 | (718) unequally_directed_lines(all_1_1_1, all_44_4_64) = all_232_4_316
% 44.01/15.53 |
% 44.01/15.53 | Instantiating (443) with all_248_0_352, all_248_1_353, all_248_2_354, all_248_3_355, all_248_4_356, all_248_5_357 yields:
% 44.01/15.53 | (719) unequally_directed_lines(all_1_0_0, all_248_3_355) = all_248_2_354 & unequally_directed_lines(all_1_0_0, all_248_5_357) = all_248_4_356 & unequally_directed_lines(all_1_2_2, all_248_3_355) = all_248_0_352 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_248_1_353 & reverse_line(all_1_0_0) = all_248_3_355 & reverse_line(all_1_2_2) = all_248_5_357 & ( ~ (all_248_4_356 = 0) | (all_248_0_352 = 0 & all_248_1_353 = 0) | (all_248_2_354 = 0 & all_28_4_25 = 0))
% 44.01/15.53 |
% 44.01/15.53 | Applying alpha-rule on (719) yields:
% 44.01/15.53 | (720) unequally_directed_lines(all_1_0_0, all_248_3_355) = all_248_2_354
% 44.01/15.53 | (721) ~ (all_248_4_356 = 0) | (all_248_0_352 = 0 & all_248_1_353 = 0) | (all_248_2_354 = 0 & all_28_4_25 = 0)
% 44.01/15.53 | (722) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_248_1_353
% 44.01/15.53 | (723) unequally_directed_lines(all_1_2_2, all_248_3_355) = all_248_0_352
% 44.01/15.53 | (724) unequally_directed_lines(all_1_0_0, all_248_5_357) = all_248_4_356
% 44.01/15.53 | (725) reverse_line(all_1_2_2) = all_248_5_357
% 44.01/15.53 | (726) reverse_line(all_1_0_0) = all_248_3_355
% 44.01/15.53 |
% 44.01/15.53 | Instantiating (520) with all_254_0_363, all_254_1_364, all_254_2_365, all_254_3_366, all_254_4_367 yields:
% 44.01/15.53 | (727) unequally_directed_lines(all_1_0_0, all_254_3_366) = all_254_2_365 & unequally_directed_lines(all_1_0_0, all_1_0_0) = all_254_1_364 & unequally_directed_lines(all_1_0_0, all_1_2_2) = all_254_4_367 & unequally_directed_lines(all_1_2_2, all_44_4_64) = all_254_0_363 & reverse_line(all_1_2_2) = all_254_3_366 & ( ~ (all_254_2_365 = 0) | ~ (all_254_4_367 = 0) | (all_254_0_363 = 0 & all_30_0_27 = 0) | (all_254_1_364 = 0 & all_44_3_63 = 0))
% 44.01/15.53 |
% 44.01/15.53 | Applying alpha-rule on (727) yields:
% 44.01/15.53 | (728) unequally_directed_lines(all_1_2_2, all_44_4_64) = all_254_0_363
% 44.01/15.53 | (729) unequally_directed_lines(all_1_0_0, all_254_3_366) = all_254_2_365
% 44.01/15.53 | (730) reverse_line(all_1_2_2) = all_254_3_366
% 44.01/15.53 | (731) unequally_directed_lines(all_1_0_0, all_1_0_0) = all_254_1_364
% 44.01/15.53 | (732) ~ (all_254_2_365 = 0) | ~ (all_254_4_367 = 0) | (all_254_0_363 = 0 & all_30_0_27 = 0) | (all_254_1_364 = 0 & all_44_3_63 = 0)
% 44.01/15.53 | (733) unequally_directed_lines(all_1_0_0, all_1_2_2) = all_254_4_367
% 44.01/15.53 |
% 44.01/15.53 | Instantiating (518) with all_256_0_368, all_256_1_369, all_256_2_370, all_256_3_371, all_256_4_372 yields:
% 44.01/15.53 | (734) unequally_directed_lines(all_1_0_0, all_1_0_0) = all_256_0_368 & unequally_directed_lines(all_1_0_0, all_1_1_1) = all_256_1_369 & unequally_directed_lines(all_1_2_2, all_44_4_64) = all_256_3_371 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_256_4_372 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_256_2_370 & ( ~ (all_256_3_371 = 0) | ~ (all_256_4_372 = 0) | (all_256_0_368 = 0 & all_256_1_369 = 0) | (all_256_2_370 = 0 & all_30_0_27 = 0))
% 44.01/15.53 |
% 44.01/15.53 | Applying alpha-rule on (734) yields:
% 44.01/15.53 | (735) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_256_2_370
% 44.01/15.53 | (736) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_256_1_369
% 44.01/15.53 | (737) unequally_directed_lines(all_1_2_2, all_44_4_64) = all_256_3_371
% 44.01/15.53 | (738) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_256_4_372
% 44.01/15.53 | (739) unequally_directed_lines(all_1_0_0, all_1_0_0) = all_256_0_368
% 44.01/15.53 | (740) ~ (all_256_3_371 = 0) | ~ (all_256_4_372 = 0) | (all_256_0_368 = 0 & all_256_1_369 = 0) | (all_256_2_370 = 0 & all_30_0_27 = 0)
% 44.01/15.53 |
% 44.01/15.53 | Instantiating (525) with all_258_0_373, all_258_1_374, all_258_2_375, all_258_3_376, all_258_4_377, all_258_5_378 yields:
% 44.01/15.53 | (741) unequally_directed_lines(all_1_0_0, all_258_3_376) = all_258_0_373 & unequally_directed_lines(all_1_0_0, all_1_2_2) = all_258_1_374 & unequally_directed_lines(all_1_2_2, all_258_3_376) = all_258_2_375 & unequally_directed_lines(all_1_2_2, all_44_4_64) = all_258_4_377 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_258_5_378 & reverse_line(all_1_2_2) = all_258_3_376 & ( ~ (all_258_4_377 = 0) | ~ (all_258_5_378 = 0) | (all_258_0_373 = 0 & all_258_1_374 = 0) | (all_258_2_375 = 0 & all_18_1_5 = 0))
% 44.01/15.53 |
% 44.01/15.53 | Applying alpha-rule on (741) yields:
% 44.01/15.53 | (742) unequally_directed_lines(all_1_2_2, all_258_3_376) = all_258_2_375
% 44.01/15.53 | (743) reverse_line(all_1_2_2) = all_258_3_376
% 44.01/15.53 | (744) unequally_directed_lines(all_1_0_0, all_1_2_2) = all_258_1_374
% 44.01/15.53 | (745) unequally_directed_lines(all_1_2_2, all_44_4_64) = all_258_4_377
% 44.01/15.53 | (746) unequally_directed_lines(all_1_0_0, all_258_3_376) = all_258_0_373
% 44.01/15.53 | (747) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_258_5_378
% 44.01/15.53 | (748) ~ (all_258_4_377 = 0) | ~ (all_258_5_378 = 0) | (all_258_0_373 = 0 & all_258_1_374 = 0) | (all_258_2_375 = 0 & all_18_1_5 = 0)
% 44.01/15.53 |
% 44.01/15.53 | Instantiating (493) with all_260_0_379, all_260_1_380, all_260_2_381, all_260_3_382, all_260_4_383 yields:
% 44.01/15.53 | (749) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_260_0_379 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_260_1_380 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_260_3_382 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_260_4_383 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_260_2_381 & ( ~ (all_260_3_382 = 0) | ~ (all_260_4_383 = 0) | (all_260_0_379 = 0 & all_260_1_380 = 0) | (all_260_2_381 = 0 & all_18_0_4 = 0))
% 44.01/15.53 |
% 44.01/15.53 | Applying alpha-rule on (749) yields:
% 44.01/15.53 | (750) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_260_4_383
% 44.01/15.53 | (751) ~ (all_260_3_382 = 0) | ~ (all_260_4_383 = 0) | (all_260_0_379 = 0 & all_260_1_380 = 0) | (all_260_2_381 = 0 & all_18_0_4 = 0)
% 44.01/15.53 | (752) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_260_3_382
% 44.01/15.53 | (753) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_260_2_381
% 44.01/15.53 | (754) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_260_0_379
% 44.01/15.53 | (755) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_260_1_380
% 44.01/15.53 |
% 44.01/15.53 | Instantiating (483) with all_262_0_384, all_262_1_385, all_262_2_386, all_262_3_387, all_262_4_388 yields:
% 44.01/15.53 | (756) unequally_directed_lines(all_1_0_0, all_1_2_2) = all_262_0_384 & unequally_directed_lines(all_1_2_2, all_262_3_387) = all_262_2_386 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_262_4_388 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_262_1_385 & reverse_line(all_1_0_0) = all_262_3_387 & ( ~ (all_262_2_386 = 0) | ~ (all_262_4_388 = 0) | (all_262_0_384 = 0 & all_18_4_8 = 0) | (all_262_1_385 = 0 & all_18_0_4 = 0))
% 44.01/15.53 |
% 44.01/15.53 | Applying alpha-rule on (756) yields:
% 44.01/15.53 | (757) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_262_1_385
% 44.01/15.53 | (758) ~ (all_262_2_386 = 0) | ~ (all_262_4_388 = 0) | (all_262_0_384 = 0 & all_18_4_8 = 0) | (all_262_1_385 = 0 & all_18_0_4 = 0)
% 44.01/15.53 | (759) unequally_directed_lines(all_1_0_0, all_1_2_2) = all_262_0_384
% 44.01/15.53 | (760) reverse_line(all_1_0_0) = all_262_3_387
% 44.01/15.53 | (761) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_262_4_388
% 44.01/15.53 | (762) unequally_directed_lines(all_1_2_2, all_262_3_387) = all_262_2_386
% 44.01/15.53 |
% 44.01/15.53 | Instantiating (492) with all_264_0_389, all_264_1_390, all_264_2_391, all_264_3_392, all_264_4_393, all_264_5_394 yields:
% 44.01/15.53 | (763) unequally_directed_lines(all_1_1_1, all_264_3_392) = all_264_0_389 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_264_1_390 & unequally_directed_lines(all_1_2_2, all_264_3_392) = all_264_2_391 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_264_4_393 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_264_5_394 & reverse_line(all_1_1_1) = all_264_3_392 & ( ~ (all_264_4_393 = 0) | ~ (all_264_5_394 = 0) | (all_264_0_389 = 0 & all_264_1_390 = 0) | (all_264_2_391 = 0 & all_18_0_4 = 0))
% 44.01/15.53 |
% 44.01/15.53 | Applying alpha-rule on (763) yields:
% 44.01/15.53 | (764) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_264_1_390
% 44.01/15.53 | (765) reverse_line(all_1_1_1) = all_264_3_392
% 44.01/15.53 | (766) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_264_5_394
% 44.01/15.53 | (767) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_264_4_393
% 44.01/15.53 | (768) unequally_directed_lines(all_1_2_2, all_264_3_392) = all_264_2_391
% 44.01/15.53 | (769) ~ (all_264_4_393 = 0) | ~ (all_264_5_394 = 0) | (all_264_0_389 = 0 & all_264_1_390 = 0) | (all_264_2_391 = 0 & all_18_0_4 = 0)
% 44.01/15.53 | (770) unequally_directed_lines(all_1_1_1, all_264_3_392) = all_264_0_389
% 44.01/15.53 |
% 44.01/15.53 | Instantiating (481) with all_266_0_395, all_266_1_396, all_266_2_397, all_266_3_398, all_266_4_399 yields:
% 44.01/15.53 | (771) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_266_0_395 & unequally_directed_lines(all_1_2_2, all_266_3_398) = all_266_2_397 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_266_4_399 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_266_1_396 & reverse_line(all_1_0_0) = all_266_3_398 & ( ~ (all_266_2_397 = 0) | ~ (all_266_4_399 = 0) | all_266_0_395 = 0 | (all_266_1_396 = 0 & all_18_0_4 = 0))
% 44.01/15.53 |
% 44.01/15.53 | Applying alpha-rule on (771) yields:
% 44.01/15.53 | (772) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_266_0_395
% 44.01/15.53 | (773) ~ (all_266_2_397 = 0) | ~ (all_266_4_399 = 0) | all_266_0_395 = 0 | (all_266_1_396 = 0 & all_18_0_4 = 0)
% 44.01/15.53 | (774) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_266_4_399
% 44.01/15.53 | (775) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_266_1_396
% 44.01/15.53 | (776) reverse_line(all_1_0_0) = all_266_3_398
% 44.01/15.53 | (777) unequally_directed_lines(all_1_2_2, all_266_3_398) = all_266_2_397
% 44.01/15.53 |
% 44.01/15.53 | Instantiating (482) with all_270_0_403, all_270_1_404, all_270_2_405, all_270_3_406, all_270_4_407 yields:
% 44.01/15.53 | (778) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_270_0_403 & unequally_directed_lines(all_1_2_2, all_270_3_406) = all_270_2_405 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_270_1_404 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_270_4_407 & reverse_line(all_1_0_0) = all_270_3_406 & ( ~ (all_270_2_405 = 0) | ~ (all_270_4_407 = 0) | (all_270_0_403 = 0 & all_28_4_25 = 0) | (all_270_1_404 = 0 & all_18_0_4 = 0))
% 44.01/15.53 |
% 44.01/15.53 | Applying alpha-rule on (778) yields:
% 44.01/15.53 | (779) reverse_line(all_1_0_0) = all_270_3_406
% 44.01/15.53 | (780) unequally_directed_lines(all_1_2_2, all_270_3_406) = all_270_2_405
% 44.01/15.54 | (781) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_270_4_407
% 44.01/15.54 | (782) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_270_1_404
% 44.01/15.54 | (783) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_270_0_403
% 44.01/15.54 | (784) ~ (all_270_2_405 = 0) | ~ (all_270_4_407 = 0) | (all_270_0_403 = 0 & all_28_4_25 = 0) | (all_270_1_404 = 0 & all_18_0_4 = 0)
% 44.01/15.54 |
% 44.01/15.54 | Instantiating (524) with all_272_0_408, all_272_1_409, all_272_2_410, all_272_3_411, all_272_4_412, all_272_5_413 yields:
% 44.01/15.54 | (785) unequally_directed_lines(all_1_0_0, all_272_3_411) = all_272_0_408 & unequally_directed_lines(all_1_0_0, all_1_1_1) = all_272_1_409 & unequally_directed_lines(all_1_2_2, all_272_3_411) = all_272_2_410 & unequally_directed_lines(all_1_2_2, all_44_4_64) = all_272_4_412 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_272_5_413 & reverse_line(all_1_1_1) = all_272_3_411 & ( ~ (all_272_4_412 = 0) | ~ (all_272_5_413 = 0) | (all_272_0_408 = 0 & all_272_1_409 = 0) | (all_272_2_410 = 0 & all_18_0_4 = 0))
% 44.01/15.54 |
% 44.01/15.54 | Applying alpha-rule on (785) yields:
% 44.01/15.54 | (786) unequally_directed_lines(all_1_2_2, all_44_4_64) = all_272_4_412
% 44.01/15.54 | (787) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_272_1_409
% 44.01/15.54 | (788) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_272_5_413
% 44.01/15.54 | (789) unequally_directed_lines(all_1_2_2, all_272_3_411) = all_272_2_410
% 44.01/15.54 | (790) unequally_directed_lines(all_1_0_0, all_272_3_411) = all_272_0_408
% 44.01/15.54 | (791) reverse_line(all_1_1_1) = all_272_3_411
% 44.01/15.54 | (792) ~ (all_272_4_412 = 0) | ~ (all_272_5_413 = 0) | (all_272_0_408 = 0 & all_272_1_409 = 0) | (all_272_2_410 = 0 & all_18_0_4 = 0)
% 44.01/15.54 |
% 44.01/15.54 | Instantiating (444) with all_276_0_420, all_276_1_421, all_276_2_422, all_276_3_423, all_276_4_424, all_276_5_425 yields:
% 44.01/15.54 | (793) unequally_directed_lines(all_1_0_0, all_276_3_423) = all_276_2_422 & unequally_directed_lines(all_1_0_0, all_1_1_1) = all_276_4_424 & unequally_directed_lines(all_1_0_0, all_1_2_2) = all_276_5_425 & unequally_directed_lines(all_1_2_2, all_276_3_423) = all_276_0_420 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_276_1_421 & reverse_line(all_1_0_0) = all_276_3_423 & ( ~ (all_276_4_424 = 0) | ~ (all_276_5_425 = 0) | (all_276_0_420 = 0 & all_276_1_421 = 0) | (all_276_2_422 = 0 & all_28_4_25 = 0))
% 44.01/15.54 |
% 44.01/15.54 | Applying alpha-rule on (793) yields:
% 44.01/15.54 | (794) unequally_directed_lines(all_1_0_0, all_276_3_423) = all_276_2_422
% 44.01/15.54 | (795) reverse_line(all_1_0_0) = all_276_3_423
% 44.01/15.54 | (796) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_276_4_424
% 44.01/15.54 | (797) ~ (all_276_4_424 = 0) | ~ (all_276_5_425 = 0) | (all_276_0_420 = 0 & all_276_1_421 = 0) | (all_276_2_422 = 0 & all_28_4_25 = 0)
% 44.01/15.54 | (798) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_276_1_421
% 44.01/15.54 | (799) unequally_directed_lines(all_1_2_2, all_276_3_423) = all_276_0_420
% 44.01/15.54 | (800) unequally_directed_lines(all_1_0_0, all_1_2_2) = all_276_5_425
% 44.01/15.54 |
% 44.01/15.54 | Instantiating (465) with all_278_0_426, all_278_1_427, all_278_2_428, all_278_3_429, all_278_4_430, all_278_5_431 yields:
% 44.01/15.54 | (801) unequally_directed_lines(all_1_2_2, all_278_3_429) = all_278_0_426 & unequally_directed_lines(all_1_2_2, all_278_3_429) = all_278_2_428 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_278_1_427 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_278_4_430 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_278_5_431 & reverse_line(all_1_0_0) = all_278_3_429 & ( ~ (all_278_4_430 = 0) | ~ (all_278_5_431 = 0) | (all_278_0_426 = 0 & all_278_1_427 = 0) | (all_278_2_428 = 0 & all_30_0_27 = 0))
% 44.01/15.54 |
% 44.01/15.54 | Applying alpha-rule on (801) yields:
% 44.01/15.54 | (802) unequally_directed_lines(all_1_2_2, all_278_3_429) = all_278_2_428
% 44.01/15.54 | (803) unequally_directed_lines(all_1_2_2, all_278_3_429) = all_278_0_426
% 44.01/15.54 | (804) ~ (all_278_4_430 = 0) | ~ (all_278_5_431 = 0) | (all_278_0_426 = 0 & all_278_1_427 = 0) | (all_278_2_428 = 0 & all_30_0_27 = 0)
% 44.01/15.54 | (805) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_278_4_430
% 44.01/15.54 | (806) reverse_line(all_1_0_0) = all_278_3_429
% 44.01/15.54 | (807) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_278_1_427
% 44.01/15.54 | (808) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_278_5_431
% 44.01/15.54 |
% 44.01/15.54 | Instantiating (464) with all_280_0_432, all_280_1_433, all_280_2_434, all_280_3_435, all_280_4_436, all_280_5_437 yields:
% 44.01/15.54 | (809) unequally_directed_lines(all_1_1_1, all_280_3_435) = all_280_0_432 & unequally_directed_lines(all_1_1_1, all_1_0_0) = all_280_1_433 & unequally_directed_lines(all_1_2_2, all_280_3_435) = all_280_2_434 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_280_4_436 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_280_5_437 & reverse_line(all_1_0_0) = all_280_3_435 & ( ~ (all_280_4_436 = 0) | ~ (all_280_5_437 = 0) | (all_280_0_432 = 0 & all_280_1_433 = 0) | (all_280_2_434 = 0 & all_30_0_27 = 0))
% 44.01/15.54 |
% 44.01/15.54 | Applying alpha-rule on (809) yields:
% 44.01/15.54 | (810) ~ (all_280_4_436 = 0) | ~ (all_280_5_437 = 0) | (all_280_0_432 = 0 & all_280_1_433 = 0) | (all_280_2_434 = 0 & all_30_0_27 = 0)
% 44.01/15.54 | (811) unequally_directed_lines(all_1_2_2, all_280_3_435) = all_280_2_434
% 44.01/15.54 | (812) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_280_4_436
% 44.01/15.54 | (813) reverse_line(all_1_0_0) = all_280_3_435
% 44.01/15.54 | (814) unequally_directed_lines(all_1_1_1, all_1_0_0) = all_280_1_433
% 44.01/15.54 | (815) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_280_5_437
% 44.01/15.54 | (816) unequally_directed_lines(all_1_1_1, all_280_3_435) = all_280_0_432
% 44.01/15.54 |
% 44.01/15.54 | Instantiating (463) with all_282_0_438, all_282_1_439 yields:
% 44.01/15.54 | (817) convergent_lines(all_1_2_2, all_1_1_1) = all_282_1_439 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_282_0_438 & ( ~ (all_282_1_439 = 0) | (all_282_0_438 = 0 & all_30_0_27 = 0))
% 44.01/15.54 |
% 44.01/15.54 | Applying alpha-rule on (817) yields:
% 44.01/15.54 | (818) convergent_lines(all_1_2_2, all_1_1_1) = all_282_1_439
% 44.01/15.54 | (819) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_282_0_438
% 44.01/15.54 | (820) ~ (all_282_1_439 = 0) | (all_282_0_438 = 0 & all_30_0_27 = 0)
% 44.01/15.54 |
% 44.01/15.54 | Instantiating (442) with all_288_0_452, all_288_1_453, all_288_2_454, all_288_3_455, all_288_4_456, all_288_5_457 yields:
% 44.01/15.54 | (821) unequally_directed_lines(all_1_0_0, all_288_3_455) = all_288_2_454 & unequally_directed_lines(all_1_0_0, all_288_5_457) = all_288_4_456 & unequally_directed_lines(all_1_2_2, all_288_3_455) = all_288_0_452 & unequally_directed_lines(all_1_2_2, all_44_4_64) = all_288_1_453 & reverse_line(all_44_4_64) = all_288_3_455 & reverse_line(all_1_2_2) = all_288_5_457 & ( ~ (all_288_4_456 = 0) | (all_288_0_452 = 0 & all_288_1_453 = 0) | (all_288_2_454 = 0 & all_44_3_63 = 0))
% 44.01/15.54 |
% 44.01/15.54 | Applying alpha-rule on (821) yields:
% 44.01/15.54 | (822) ~ (all_288_4_456 = 0) | (all_288_0_452 = 0 & all_288_1_453 = 0) | (all_288_2_454 = 0 & all_44_3_63 = 0)
% 44.01/15.54 | (823) reverse_line(all_44_4_64) = all_288_3_455
% 44.01/15.54 | (824) unequally_directed_lines(all_1_2_2, all_44_4_64) = all_288_1_453
% 44.01/15.54 | (825) reverse_line(all_1_2_2) = all_288_5_457
% 44.01/15.54 | (826) unequally_directed_lines(all_1_0_0, all_288_5_457) = all_288_4_456
% 44.01/15.54 | (827) unequally_directed_lines(all_1_0_0, all_288_3_455) = all_288_2_454
% 44.01/15.54 | (828) unequally_directed_lines(all_1_2_2, all_288_3_455) = all_288_0_452
% 44.01/15.54 |
% 44.01/15.54 | Instantiating (462) with all_292_0_464, all_292_1_465, all_292_2_466, all_292_3_467, all_292_4_468 yields:
% 44.01/15.54 | (829) unequally_directed_lines(all_1_1_1, all_1_0_0) = all_292_0_464 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_292_1_465 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_292_3_467 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_292_2_466 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_292_4_468 & ( ~ (all_292_3_467 = 0) | ~ (all_292_4_468 = 0) | (all_292_0_464 = 0 & all_292_1_465 = 0) | (all_292_2_466 = 0 & all_30_0_27 = 0))
% 44.01/15.54 |
% 44.01/15.54 | Applying alpha-rule on (829) yields:
% 44.01/15.54 | (830) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_292_2_466
% 44.01/15.54 | (831) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_292_1_465
% 44.01/15.54 | (832) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_292_3_467
% 44.01/15.54 | (833) unequally_directed_lines(all_1_1_1, all_1_0_0) = all_292_0_464
% 44.01/15.54 | (834) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_292_4_468
% 44.01/15.54 | (835) ~ (all_292_3_467 = 0) | ~ (all_292_4_468 = 0) | (all_292_0_464 = 0 & all_292_1_465 = 0) | (all_292_2_466 = 0 & all_30_0_27 = 0)
% 44.01/15.54 |
% 44.01/15.54 | From (451) and (224) follows:
% 44.01/15.54 | (836) unequally_directed_lines(all_1_2_2, all_1_0_0) = 0
% 44.01/15.54 |
% 44.01/15.54 +-Applying beta-rule and splitting (473), into two cases.
% 44.01/15.54 |-Branch one:
% 44.01/15.54 | (837) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0)
% 44.01/15.54 |
% 44.01/15.54 | Using (836) and (837) yields:
% 44.01/15.54 | (369) $false
% 44.01/15.54 |
% 44.01/15.54 |-The branch is then unsatisfiable
% 44.01/15.54 |-Branch two:
% 44.01/15.54 | (836) unequally_directed_lines(all_1_2_2, all_1_0_0) = 0
% 44.01/15.54 | (840) all_18_4_8 = 0 | unequally_directed_lines(all_1_2_2, all_1_1_1) = 0
% 44.01/15.54 |
% 44.01/15.54 +-Applying beta-rule and splitting (472), into two cases.
% 44.01/15.54 |-Branch one:
% 44.01/15.54 | (837) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0)
% 44.01/15.54 |
% 44.01/15.54 | Using (836) and (837) yields:
% 44.01/15.54 | (369) $false
% 44.01/15.54 |
% 44.01/15.54 |-The branch is then unsatisfiable
% 44.01/15.54 |-Branch two:
% 44.01/15.54 | (836) unequally_directed_lines(all_1_2_2, all_1_0_0) = 0
% 44.01/15.54 | (844) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v3) = v5 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v2 & reverse_line(all_1_0_0) = v3 & reverse_line(all_1_0_0) = v0 & ( ~ (v1 = 0) | (v5 = 0 & all_28_4_25 = 0) | (v4 = 0 & v2 = 0)))
% 44.01/15.55 |
% 44.01/15.55 | Instantiating (844) with all_305_0_469, all_305_1_470, all_305_2_471, all_305_3_472, all_305_4_473, all_305_5_474 yields:
% 44.01/15.55 | (845) unequally_directed_lines(all_1_0_0, all_305_2_471) = all_305_0_469 & unequally_directed_lines(all_1_2_2, all_305_2_471) = all_305_1_470 & unequally_directed_lines(all_1_2_2, all_305_5_474) = all_305_4_473 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_305_3_472 & reverse_line(all_1_0_0) = all_305_2_471 & reverse_line(all_1_0_0) = all_305_5_474 & ( ~ (all_305_4_473 = 0) | (all_305_0_469 = 0 & all_28_4_25 = 0) | (all_305_1_470 = 0 & all_305_3_472 = 0))
% 44.01/15.55 |
% 44.01/15.55 | Applying alpha-rule on (845) yields:
% 44.01/15.55 | (846) unequally_directed_lines(all_1_2_2, all_305_5_474) = all_305_4_473
% 44.01/15.55 | (847) reverse_line(all_1_0_0) = all_305_5_474
% 44.01/15.55 | (848) reverse_line(all_1_0_0) = all_305_2_471
% 44.01/15.55 | (849) unequally_directed_lines(all_1_2_2, all_305_2_471) = all_305_1_470
% 44.01/15.55 | (850) unequally_directed_lines(all_1_0_0, all_305_2_471) = all_305_0_469
% 44.01/15.55 | (851) ~ (all_305_4_473 = 0) | (all_305_0_469 = 0 & all_28_4_25 = 0) | (all_305_1_470 = 0 & all_305_3_472 = 0)
% 44.01/15.55 | (852) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_305_3_472
% 44.01/15.55 |
% 44.01/15.55 +-Applying beta-rule and splitting (469), into two cases.
% 44.01/15.55 |-Branch one:
% 44.01/15.55 | (837) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0)
% 44.01/15.55 |
% 44.01/15.55 | Using (836) and (837) yields:
% 44.01/15.55 | (369) $false
% 44.01/15.55 |
% 44.01/15.55 |-The branch is then unsatisfiable
% 44.01/15.55 |-Branch two:
% 44.01/15.55 | (836) unequally_directed_lines(all_1_2_2, all_1_0_0) = 0
% 44.01/15.55 | (856) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, all_1_1_1) = v5 & unequally_directed_lines(all_1_0_0, all_1_2_2) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v3 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v2 & reverse_line(all_1_0_0) = v0 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0)))
% 44.01/15.55 |
% 44.01/15.55 | Instantiating (856) with all_310_0_475, all_310_1_476, all_310_2_477, all_310_3_478, all_310_4_479, all_310_5_480 yields:
% 44.01/15.55 | (857) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_310_0_475 & unequally_directed_lines(all_1_0_0, all_1_2_2) = all_310_1_476 & unequally_directed_lines(all_1_2_2, all_310_5_480) = all_310_4_479 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_310_2_477 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_310_3_478 & reverse_line(all_1_0_0) = all_310_5_480 & ( ~ (all_310_4_479 = 0) | (all_310_0_475 = 0 & all_310_1_476 = 0) | (all_310_2_477 = 0 & all_310_3_478 = 0))
% 44.01/15.55 |
% 44.01/15.55 | Applying alpha-rule on (857) yields:
% 44.01/15.55 | (858) unequally_directed_lines(all_1_0_0, all_1_1_1) = all_310_0_475
% 44.01/15.55 | (859) unequally_directed_lines(all_1_2_2, all_310_5_480) = all_310_4_479
% 44.01/15.55 | (860) ~ (all_310_4_479 = 0) | (all_310_0_475 = 0 & all_310_1_476 = 0) | (all_310_2_477 = 0 & all_310_3_478 = 0)
% 44.01/15.55 | (861) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_310_3_478
% 44.01/15.55 | (862) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_310_2_477
% 44.01/15.55 | (863) reverse_line(all_1_0_0) = all_310_5_480
% 44.01/15.55 | (864) unequally_directed_lines(all_1_0_0, all_1_2_2) = all_310_1_476
% 44.01/15.55 |
% 44.01/15.55 +-Applying beta-rule and splitting (470), into two cases.
% 44.01/15.55 |-Branch one:
% 44.01/15.55 | (837) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0)
% 44.01/15.55 |
% 44.01/15.55 | Using (836) and (837) yields:
% 44.01/15.55 | (369) $false
% 44.01/15.55 |
% 44.01/15.55 |-The branch is then unsatisfiable
% 44.01/15.55 |-Branch two:
% 44.01/15.55 | (836) unequally_directed_lines(all_1_2_2, all_1_0_0) = 0
% 44.01/15.55 | (868) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v3) = v5 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v2 & reverse_line(all_1_0_0) = v0 & reverse_line(all_1_2_2) = v3 & ( ~ (v1 = 0) | v5 = 0 | (v4 = 0 & v2 = 0)))
% 44.01/15.55 |
% 44.01/15.55 | Instantiating (868) with all_315_0_481, all_315_1_482, all_315_2_483, all_315_3_484, all_315_4_485, all_315_5_486 yields:
% 44.01/15.55 | (869) unequally_directed_lines(all_1_0_0, all_315_2_483) = all_315_0_481 & unequally_directed_lines(all_1_2_2, all_315_2_483) = all_315_1_482 & unequally_directed_lines(all_1_2_2, all_315_5_486) = all_315_4_485 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_315_3_484 & reverse_line(all_1_0_0) = all_315_5_486 & reverse_line(all_1_2_2) = all_315_2_483 & ( ~ (all_315_4_485 = 0) | all_315_0_481 = 0 | (all_315_1_482 = 0 & all_315_3_484 = 0))
% 44.01/15.55 |
% 44.01/15.55 | Applying alpha-rule on (869) yields:
% 44.01/15.55 | (870) reverse_line(all_1_0_0) = all_315_5_486
% 44.01/15.55 | (871) unequally_directed_lines(all_1_0_0, all_315_2_483) = all_315_0_481
% 44.01/15.55 | (872) unequally_directed_lines(all_1_2_2, all_315_5_486) = all_315_4_485
% 44.01/15.55 | (873) ~ (all_315_4_485 = 0) | all_315_0_481 = 0 | (all_315_1_482 = 0 & all_315_3_484 = 0)
% 44.01/15.55 | (874) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_315_3_484
% 44.01/15.55 | (875) reverse_line(all_1_2_2) = all_315_2_483
% 44.01/15.55 | (876) unequally_directed_lines(all_1_2_2, all_315_2_483) = all_315_1_482
% 44.01/15.55 |
% 44.01/15.55 +-Applying beta-rule and splitting (471), into two cases.
% 44.01/15.55 |-Branch one:
% 44.01/15.55 | (837) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0)
% 44.01/15.55 |
% 44.01/15.55 | Using (836) and (837) yields:
% 44.01/15.55 | (369) $false
% 44.01/15.55 |
% 44.01/15.55 |-The branch is then unsatisfiable
% 44.01/15.55 |-Branch two:
% 44.01/15.55 | (836) unequally_directed_lines(all_1_2_2, all_1_0_0) = 0
% 44.01/15.55 | (880) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v3) = v5 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_44_4_64) = v2 & reverse_line(all_44_4_64) = v3 & reverse_line(all_1_0_0) = v0 & ( ~ (v1 = 0) | (v5 = 0 & all_44_3_63 = 0) | (v4 = 0 & v2 = 0)))
% 44.01/15.55 |
% 44.01/15.55 +-Applying beta-rule and splitting (474), into two cases.
% 44.01/15.55 |-Branch one:
% 44.01/15.55 | (837) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0)
% 44.01/15.55 |
% 44.01/15.55 | Using (836) and (837) yields:
% 44.01/15.55 | (369) $false
% 44.01/15.55 |
% 44.01/15.55 |-The branch is then unsatisfiable
% 44.01/15.55 |-Branch two:
% 44.01/15.55 | (836) unequally_directed_lines(all_1_2_2, all_1_0_0) = 0
% 44.01/15.55 | (884) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v3) = v5 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v2 & reverse_line(all_1_0_0) = v0 & reverse_line(all_1_1_1) = v3 & ( ~ (v1 = 0) | (v5 = 0 & all_18_4_8 = 0) | (v4 = 0 & v2 = 0)))
% 44.01/15.55 |
% 44.01/15.55 | Instantiating (884) with all_325_0_493, all_325_1_494, all_325_2_495, all_325_3_496, all_325_4_497, all_325_5_498 yields:
% 44.01/15.55 | (885) unequally_directed_lines(all_1_0_0, all_325_2_495) = all_325_0_493 & unequally_directed_lines(all_1_2_2, all_325_2_495) = all_325_1_494 & unequally_directed_lines(all_1_2_2, all_325_5_498) = all_325_4_497 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_325_3_496 & reverse_line(all_1_0_0) = all_325_5_498 & reverse_line(all_1_1_1) = all_325_2_495 & ( ~ (all_325_4_497 = 0) | (all_325_0_493 = 0 & all_18_4_8 = 0) | (all_325_1_494 = 0 & all_325_3_496 = 0))
% 44.01/15.55 |
% 44.01/15.55 | Applying alpha-rule on (885) yields:
% 44.01/15.55 | (886) unequally_directed_lines(all_1_2_2, all_325_2_495) = all_325_1_494
% 44.01/15.55 | (887) unequally_directed_lines(all_1_2_2, all_325_5_498) = all_325_4_497
% 44.01/15.55 | (888) unequally_directed_lines(all_1_0_0, all_325_2_495) = all_325_0_493
% 44.01/15.55 | (889) reverse_line(all_1_0_0) = all_325_5_498
% 44.01/15.55 | (890) reverse_line(all_1_1_1) = all_325_2_495
% 44.01/15.55 | (891) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_325_3_496
% 44.01/15.55 | (892) ~ (all_325_4_497 = 0) | (all_325_0_493 = 0 & all_18_4_8 = 0) | (all_325_1_494 = 0 & all_325_3_496 = 0)
% 44.01/15.55 |
% 44.01/15.55 +-Applying beta-rule and splitting (475), into two cases.
% 44.01/15.55 |-Branch one:
% 44.01/15.55 | (837) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0)
% 44.01/15.55 |
% 44.01/15.55 | Using (836) and (837) yields:
% 44.01/15.55 | (369) $false
% 44.01/15.55 |
% 44.01/15.55 |-The branch is then unsatisfiable
% 44.01/15.55 |-Branch two:
% 44.01/15.55 | (836) unequally_directed_lines(all_1_2_2, all_1_0_0) = 0
% 44.01/15.55 | (896) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_1_1, v2) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v1 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & reverse_line(all_1_1_1) = v2 & ( ~ (v0 = 0) | (v4 = 0 & all_28_0_21 = 0) | (v3 = 0 & v1 = 0)))
% 44.01/15.55 |
% 44.01/15.55 | Instantiating (896) with all_330_0_499, all_330_1_500, all_330_2_501, all_330_3_502, all_330_4_503 yields:
% 44.01/15.55 | (897) unequally_directed_lines(all_1_1_1, all_330_2_501) = all_330_0_499 & unequally_directed_lines(all_1_2_2, all_330_2_501) = all_330_1_500 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_330_3_502 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_330_4_503 & reverse_line(all_1_1_1) = all_330_2_501 & ( ~ (all_330_4_503 = 0) | (all_330_0_499 = 0 & all_28_0_21 = 0) | (all_330_1_500 = 0 & all_330_3_502 = 0))
% 44.01/15.55 |
% 44.01/15.55 | Applying alpha-rule on (897) yields:
% 44.01/15.55 | (898) ~ (all_330_4_503 = 0) | (all_330_0_499 = 0 & all_28_0_21 = 0) | (all_330_1_500 = 0 & all_330_3_502 = 0)
% 44.01/15.55 | (899) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_330_4_503
% 44.01/15.56 | (900) unequally_directed_lines(all_1_1_1, all_330_2_501) = all_330_0_499
% 44.01/15.56 | (901) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_330_3_502
% 44.01/15.56 | (902) unequally_directed_lines(all_1_2_2, all_330_2_501) = all_330_1_500
% 44.01/15.56 | (903) reverse_line(all_1_1_1) = all_330_2_501
% 44.01/15.56 |
% 44.01/15.56 +-Applying beta-rule and splitting (480), into two cases.
% 44.01/15.56 |-Branch one:
% 44.01/15.56 | (837) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0)
% 44.01/15.56 |
% 44.01/15.56 | Using (836) and (837) yields:
% 44.01/15.56 | (369) $false
% 44.01/15.56 |
% 44.01/15.56 |-The branch is then unsatisfiable
% 44.01/15.56 |-Branch two:
% 44.01/15.56 | (836) unequally_directed_lines(all_1_2_2, all_1_0_0) = 0
% 44.01/15.56 | (907) ? [v0] : ? [v1] : ? [v2] : (convergent_lines(all_1_2_2, all_1_0_0) = v2 & unequally_directed_lines(all_1_2_2, v0) = v1 & reverse_line(all_1_0_0) = v0 & ( ~ (v1 = 0) | v2 = 0))
% 44.01/15.56 |
% 44.01/15.56 +-Applying beta-rule and splitting (476), into two cases.
% 44.01/15.56 |-Branch one:
% 44.01/15.56 | (837) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0)
% 44.01/15.56 |
% 44.01/15.56 | Using (836) and (837) yields:
% 44.01/15.56 | (369) $false
% 44.01/15.56 |
% 44.01/15.56 |-The branch is then unsatisfiable
% 44.01/15.56 |-Branch two:
% 44.01/15.56 | (836) unequally_directed_lines(all_1_2_2, all_1_0_0) = 0
% 44.01/15.56 | (911) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (unequally_directed_lines(all_1_1_1, v2) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v1 & reverse_line(all_1_2_2) = v2 & ( ~ (v0 = 0) | (v4 = 0 & all_28_1_22 = 0) | (v3 = 0 & v1 = 0)))
% 44.01/15.56 |
% 44.01/15.56 | Instantiating (911) with all_340_0_507, all_340_1_508, all_340_2_509, all_340_3_510, all_340_4_511 yields:
% 44.01/15.56 | (912) unequally_directed_lines(all_1_1_1, all_340_2_509) = all_340_0_507 & unequally_directed_lines(all_1_2_2, all_340_2_509) = all_340_1_508 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_340_4_511 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_340_3_510 & reverse_line(all_1_2_2) = all_340_2_509 & ( ~ (all_340_4_511 = 0) | (all_340_0_507 = 0 & all_28_1_22 = 0) | (all_340_1_508 = 0 & all_340_3_510 = 0))
% 44.01/15.56 |
% 44.01/15.56 | Applying alpha-rule on (912) yields:
% 44.01/15.56 | (913) reverse_line(all_1_2_2) = all_340_2_509
% 44.01/15.56 | (914) unequally_directed_lines(all_1_2_2, all_340_2_509) = all_340_1_508
% 44.01/15.56 | (915) ~ (all_340_4_511 = 0) | (all_340_0_507 = 0 & all_28_1_22 = 0) | (all_340_1_508 = 0 & all_340_3_510 = 0)
% 44.01/15.56 | (916) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_340_3_510
% 44.01/15.56 | (917) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_340_4_511
% 44.01/15.56 | (918) unequally_directed_lines(all_1_1_1, all_340_2_509) = all_340_0_507
% 44.01/15.56 |
% 44.01/15.56 +-Applying beta-rule and splitting (477), into two cases.
% 44.01/15.56 |-Branch one:
% 44.01/15.56 | (837) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0)
% 44.01/15.56 |
% 44.01/15.56 | Using (836) and (837) yields:
% 44.01/15.56 | (369) $false
% 44.01/15.56 |
% 44.01/15.56 |-The branch is then unsatisfiable
% 44.01/15.56 |-Branch two:
% 44.01/15.56 | (836) unequally_directed_lines(all_1_2_2, all_1_0_0) = 0
% 44.01/15.56 | (922) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (intersection_point(all_1_2_2, all_1_0_0) = v4 & point(v4) = v5 & line(all_1_0_0) = v1 & line(all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v2) = v3 & reverse_line(all_1_0_0) = v2 & ( ~ (v3 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 44.01/15.56 |
% 44.01/15.56 +-Applying beta-rule and splitting (479), into two cases.
% 44.01/15.56 |-Branch one:
% 44.01/15.56 | (837) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0)
% 44.01/15.56 |
% 44.01/15.56 | Using (836) and (837) yields:
% 44.01/15.56 | (369) $false
% 44.01/15.56 |
% 44.01/15.56 |-The branch is then unsatisfiable
% 44.01/15.56 |-Branch two:
% 44.01/15.56 | (836) unequally_directed_lines(all_1_2_2, all_1_0_0) = 0
% 44.01/15.56 | (926) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (left_convergent_lines(all_1_2_2, v0) = v3 & left_convergent_lines(all_1_2_2, all_1_0_0) = v2 & unequally_directed_lines(all_1_2_2, v0) = v1 & reverse_line(all_1_0_0) = v0 & ( ~ (v1 = 0) | v3 = 0 | v2 = 0))
% 44.01/15.56 |
% 44.01/15.56 +-Applying beta-rule and splitting (840), into two cases.
% 44.01/15.56 |-Branch one:
% 44.01/15.56 | (927) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0
% 44.01/15.56 |
% 44.01/15.56 +-Applying beta-rule and splitting (478), into two cases.
% 44.01/15.56 |-Branch one:
% 44.01/15.56 | (837) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0)
% 44.01/15.56 |
% 44.01/15.56 | Using (836) and (837) yields:
% 44.01/15.56 | (369) $false
% 44.01/15.56 |
% 44.01/15.56 |-The branch is then unsatisfiable
% 44.01/15.56 |-Branch two:
% 44.01/15.56 | (836) unequally_directed_lines(all_1_2_2, all_1_0_0) = 0
% 44.01/15.56 | (931) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection_point(all_1_2_2, all_1_0_0) = v2 & unequally_directed_lines(all_1_2_2, v0) = v1 & apart_point_and_line(v2, all_1_0_0) = v4 & apart_point_and_line(v2, all_1_2_2) = v3 & reverse_line(all_1_0_0) = v0 & ( ~ (v1 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0))))
% 44.01/15.56 |
% 44.01/15.56 +-Applying beta-rule and splitting (466), into two cases.
% 44.01/15.56 |-Branch one:
% 44.01/15.56 | (837) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0)
% 44.01/15.56 |
% 44.01/15.56 | Using (836) and (837) yields:
% 44.01/15.56 | (369) $false
% 44.01/15.56 |
% 44.01/15.56 |-The branch is then unsatisfiable
% 44.01/15.56 |-Branch two:
% 44.01/15.56 | (836) unequally_directed_lines(all_1_2_2, all_1_0_0) = 0
% 44.01/15.56 | (935) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection_point(all_1_2_2, all_1_1_1) = v3 & point(v3) = v4 & line(all_1_1_1) = v1 & line(all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 44.01/15.56 |
% 44.01/15.56 | Instantiating (935) with all_369_0_531, all_369_1_532, all_369_2_533, all_369_3_534, all_369_4_535 yields:
% 44.01/15.56 | (936) intersection_point(all_1_2_2, all_1_1_1) = all_369_1_532 & point(all_369_1_532) = all_369_0_531 & line(all_1_1_1) = all_369_3_534 & line(all_1_2_2) = all_369_4_535 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_369_2_533 & ( ~ (all_369_2_533 = 0) | ~ (all_369_3_534 = 0) | ~ (all_369_4_535 = 0) | all_369_0_531 = 0)
% 44.01/15.56 |
% 44.01/15.56 | Applying alpha-rule on (936) yields:
% 44.01/15.56 | (937) line(all_1_1_1) = all_369_3_534
% 44.01/15.56 | (938) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_369_2_533
% 44.01/15.56 | (939) intersection_point(all_1_2_2, all_1_1_1) = all_369_1_532
% 44.01/15.56 | (940) ~ (all_369_2_533 = 0) | ~ (all_369_3_534 = 0) | ~ (all_369_4_535 = 0) | all_369_0_531 = 0
% 44.01/15.56 | (941) line(all_1_2_2) = all_369_4_535
% 44.01/15.56 | (942) point(all_369_1_532) = all_369_0_531
% 44.01/15.56 |
% 44.01/15.56 +-Applying beta-rule and splitting (467), into two cases.
% 44.01/15.56 |-Branch one:
% 44.01/15.56 | (837) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0)
% 44.01/15.56 |
% 44.01/15.56 | Using (836) and (837) yields:
% 44.01/15.56 | (369) $false
% 44.01/15.56 |
% 44.01/15.56 |-The branch is then unsatisfiable
% 44.01/15.56 |-Branch two:
% 44.01/15.56 | (836) unequally_directed_lines(all_1_2_2, all_1_0_0) = 0
% 44.01/15.56 | (946) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (intersection_point(all_1_2_2, all_1_1_1) = v1 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & apart_point_and_line(v1, all_1_1_1) = v3 & apart_point_and_line(v1, all_1_2_2) = v2 & ( ~ (v0 = 0) | ( ~ (v3 = 0) & ~ (v2 = 0))))
% 44.01/15.56 |
% 44.01/15.56 | Instantiating (946) with all_374_0_536, all_374_1_537, all_374_2_538, all_374_3_539 yields:
% 44.01/15.56 | (947) intersection_point(all_1_2_2, all_1_1_1) = all_374_2_538 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_374_3_539 & apart_point_and_line(all_374_2_538, all_1_1_1) = all_374_0_536 & apart_point_and_line(all_374_2_538, all_1_2_2) = all_374_1_537 & ( ~ (all_374_3_539 = 0) | ( ~ (all_374_0_536 = 0) & ~ (all_374_1_537 = 0)))
% 44.01/15.56 |
% 44.01/15.56 | Applying alpha-rule on (947) yields:
% 44.01/15.56 | (948) apart_point_and_line(all_374_2_538, all_1_2_2) = all_374_1_537
% 44.01/15.56 | (949) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_374_3_539
% 44.01/15.56 | (950) apart_point_and_line(all_374_2_538, all_1_1_1) = all_374_0_536
% 44.01/15.56 | (951) intersection_point(all_1_2_2, all_1_1_1) = all_374_2_538
% 44.01/15.56 | (952) ~ (all_374_3_539 = 0) | ( ~ (all_374_0_536 = 0) & ~ (all_374_1_537 = 0))
% 44.01/15.56 |
% 44.01/15.56 +-Applying beta-rule and splitting (295), into two cases.
% 44.01/15.56 |-Branch one:
% 44.01/15.56 | (953) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = all_30_0_27)
% 44.01/15.56 |
% 44.01/15.56 | From (451) and (953) follows:
% 44.01/15.56 | (954) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0)
% 44.01/15.56 |
% 44.01/15.56 | Using (927) and (954) yields:
% 44.01/15.56 | (369) $false
% 44.01/15.56 |
% 44.01/15.56 |-The branch is then unsatisfiable
% 44.01/15.56 |-Branch two:
% 44.01/15.56 | (956) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_30_0_27
% 44.01/15.56 | (957) all_30_0_27 = all_20_0_10
% 44.01/15.56 |
% 44.01/15.56 | Combining equations (451,957) yields a new equation:
% 44.01/15.56 | (958) all_20_0_10 = 0
% 44.01/15.56 |
% 44.01/15.56 | Combining equations (429,958) yields a new equation:
% 44.01/15.56 | (959) all_18_0_4 = 0
% 44.01/15.56 |
% 44.01/15.56 | Simplifying 959 yields:
% 44.01/15.56 | (960) all_18_0_4 = 0
% 44.01/15.56 |
% 44.01/15.56 | From (960) and (364) follows:
% 44.01/15.56 | (927) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0
% 44.01/15.56 |
% 44.01/15.56 +-Applying beta-rule and splitting (468), into two cases.
% 44.01/15.56 |-Branch one:
% 44.01/15.56 | (837) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0)
% 44.01/15.56 |
% 44.01/15.56 | Using (836) and (837) yields:
% 44.01/15.56 | (369) $false
% 44.01/15.56 |
% 44.01/15.56 |-The branch is then unsatisfiable
% 44.01/15.56 |-Branch two:
% 44.01/15.56 | (836) unequally_directed_lines(all_1_2_2, all_1_0_0) = 0
% 44.01/15.56 | (965) ? [v0] : ? [v1] : ? [v2] : (left_convergent_lines(all_1_2_2, all_1_0_0) = v2 & left_convergent_lines(all_1_2_2, all_1_1_1) = v1 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 = 0))
% 44.01/15.56 |
% 44.01/15.56 | Instantiating (965) with all_383_0_540, all_383_1_541, all_383_2_542 yields:
% 44.01/15.56 | (966) left_convergent_lines(all_1_2_2, all_1_0_0) = all_383_0_540 & left_convergent_lines(all_1_2_2, all_1_1_1) = all_383_1_541 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_383_2_542 & ( ~ (all_383_2_542 = 0) | all_383_0_540 = 0 | all_383_1_541 = 0)
% 44.01/15.57 |
% 44.01/15.57 | Applying alpha-rule on (966) yields:
% 44.01/15.57 | (967) left_convergent_lines(all_1_2_2, all_1_0_0) = all_383_0_540
% 44.01/15.57 | (968) left_convergent_lines(all_1_2_2, all_1_1_1) = all_383_1_541
% 44.01/15.57 | (969) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_383_2_542
% 44.01/15.57 | (970) ~ (all_383_2_542 = 0) | all_383_0_540 = 0 | all_383_1_541 = 0
% 44.01/15.57 |
% 44.01/15.57 +-Applying beta-rule and splitting (510), into two cases.
% 44.01/15.57 |-Branch one:
% 44.01/15.57 | (954) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0)
% 44.01/15.57 |
% 44.01/15.57 | Using (927) and (954) yields:
% 44.01/15.57 | (369) $false
% 44.01/15.57 |
% 44.01/15.57 |-The branch is then unsatisfiable
% 44.01/15.57 |-Branch two:
% 44.01/15.57 | (927) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0
% 44.01/15.57 | (974) all_18_1_5 = 0 | unequally_directed_lines(all_1_1_1, all_1_2_2) = 0
% 44.01/15.57 |
% 44.01/15.57 +-Applying beta-rule and splitting (511), into two cases.
% 44.01/15.57 |-Branch one:
% 44.01/15.57 | (954) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0)
% 44.01/15.57 |
% 44.01/15.57 | Using (927) and (954) yields:
% 44.01/15.57 | (369) $false
% 44.01/15.57 |
% 44.01/15.57 |-The branch is then unsatisfiable
% 44.01/15.57 |-Branch two:
% 44.01/15.57 | (927) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0
% 44.01/15.57 | (978) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, v2) = v5 & unequally_directed_lines(all_1_1_1, all_1_2_2) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, v0) = v1 & reverse_line(all_1_1_1) = v0 & reverse_line(all_1_2_2) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_18_1_5 = 0)))
% 44.01/15.57 |
% 44.01/15.57 | Instantiating (978) with all_392_0_543, all_392_1_544, all_392_2_545, all_392_3_546, all_392_4_547, all_392_5_548 yields:
% 44.01/15.57 | (979) unequally_directed_lines(all_1_1_1, all_392_3_546) = all_392_0_543 & unequally_directed_lines(all_1_1_1, all_1_2_2) = all_392_1_544 & unequally_directed_lines(all_1_2_2, all_392_3_546) = all_392_2_545 & unequally_directed_lines(all_1_2_2, all_392_5_548) = all_392_4_547 & reverse_line(all_1_1_1) = all_392_5_548 & reverse_line(all_1_2_2) = all_392_3_546 & ( ~ (all_392_4_547 = 0) | (all_392_0_543 = 0 & all_392_1_544 = 0) | (all_392_2_545 = 0 & all_18_1_5 = 0))
% 44.01/15.57 |
% 44.01/15.57 | Applying alpha-rule on (979) yields:
% 44.01/15.57 | (980) unequally_directed_lines(all_1_2_2, all_392_3_546) = all_392_2_545
% 44.01/15.57 | (981) reverse_line(all_1_2_2) = all_392_3_546
% 44.01/15.57 | (982) ~ (all_392_4_547 = 0) | (all_392_0_543 = 0 & all_392_1_544 = 0) | (all_392_2_545 = 0 & all_18_1_5 = 0)
% 44.01/15.57 | (983) reverse_line(all_1_1_1) = all_392_5_548
% 44.01/15.57 | (984) unequally_directed_lines(all_1_2_2, all_392_5_548) = all_392_4_547
% 44.01/15.57 | (985) unequally_directed_lines(all_1_1_1, all_392_3_546) = all_392_0_543
% 44.01/15.57 | (986) unequally_directed_lines(all_1_1_1, all_1_2_2) = all_392_1_544
% 44.01/15.57 |
% 44.01/15.57 +-Applying beta-rule and splitting (523), into two cases.
% 44.01/15.57 |-Branch one:
% 44.01/15.57 | (954) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0)
% 44.01/15.57 |
% 44.01/15.57 | Using (927) and (954) yields:
% 44.01/15.57 | (369) $false
% 44.01/15.57 |
% 44.01/15.57 |-The branch is then unsatisfiable
% 44.01/15.57 |-Branch two:
% 44.01/15.57 | (927) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0
% 44.01/15.57 | (990) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, all_44_4_64) = v5 & unequally_directed_lines(all_1_1_1, all_1_0_0) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_44_4_64) = v3 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v2 & reverse_line(all_1_1_1) = v0 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0)))
% 44.01/15.57 |
% 44.01/15.57 | Instantiating (990) with all_397_0_549, all_397_1_550, all_397_2_551, all_397_3_552, all_397_4_553, all_397_5_554 yields:
% 44.01/15.57 | (991) unequally_directed_lines(all_1_1_1, all_44_4_64) = all_397_0_549 & unequally_directed_lines(all_1_1_1, all_1_0_0) = all_397_1_550 & unequally_directed_lines(all_1_2_2, all_397_5_554) = all_397_4_553 & unequally_directed_lines(all_1_2_2, all_44_4_64) = all_397_2_551 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_397_3_552 & reverse_line(all_1_1_1) = all_397_5_554 & ( ~ (all_397_4_553 = 0) | (all_397_0_549 = 0 & all_397_1_550 = 0) | (all_397_2_551 = 0 & all_397_3_552 = 0))
% 44.01/15.57 |
% 44.01/15.57 | Applying alpha-rule on (991) yields:
% 44.01/15.57 | (992) unequally_directed_lines(all_1_1_1, all_44_4_64) = all_397_0_549
% 44.01/15.57 | (993) unequally_directed_lines(all_1_1_1, all_1_0_0) = all_397_1_550
% 44.01/15.57 | (994) unequally_directed_lines(all_1_2_2, all_397_5_554) = all_397_4_553
% 44.01/15.57 | (995) reverse_line(all_1_1_1) = all_397_5_554
% 44.01/15.57 | (996) ~ (all_397_4_553 = 0) | (all_397_0_549 = 0 & all_397_1_550 = 0) | (all_397_2_551 = 0 & all_397_3_552 = 0)
% 44.01/15.57 | (997) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_397_3_552
% 44.01/15.57 | (998) unequally_directed_lines(all_1_2_2, all_44_4_64) = all_397_2_551
% 44.01/15.57 |
% 44.01/15.57 +-Applying beta-rule and splitting (503), into two cases.
% 44.01/15.57 |-Branch one:
% 44.01/15.57 | (954) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0)
% 44.01/15.57 |
% 44.01/15.57 | Using (927) and (954) yields:
% 44.01/15.57 | (369) $false
% 44.01/15.57 |
% 44.01/15.57 |-The branch is then unsatisfiable
% 44.01/15.57 |-Branch two:
% 44.01/15.57 | (927) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0
% 44.01/15.57 | (1002) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (left_convergent_lines(all_1_2_2, v0) = v3 & left_convergent_lines(all_1_2_2, all_1_1_1) = v2 & unequally_directed_lines(all_1_2_2, v0) = v1 & reverse_line(all_1_1_1) = v0 & ( ~ (v1 = 0) | v3 = 0 | v2 = 0))
% 44.01/15.57 |
% 44.01/15.57 +-Applying beta-rule and splitting (509), into two cases.
% 44.01/15.57 |-Branch one:
% 44.01/15.57 | (837) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0)
% 44.01/15.57 |
% 44.01/15.57 | Using (836) and (837) yields:
% 44.01/15.57 | (369) $false
% 44.01/15.57 |
% 44.01/15.57 |-The branch is then unsatisfiable
% 44.01/15.57 |-Branch two:
% 44.01/15.57 | (836) unequally_directed_lines(all_1_2_2, all_1_0_0) = 0
% 44.01/15.57 | (1006) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v2) = v5 & unequally_directed_lines(all_1_0_0, all_1_2_2) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, v0) = v1 & reverse_line(all_1_0_0) = v0 & reverse_line(all_1_2_2) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_18_1_5 = 0)))
% 44.01/15.57 |
% 44.01/15.57 | Instantiating (1006) with all_411_0_559, all_411_1_560, all_411_2_561, all_411_3_562, all_411_4_563, all_411_5_564 yields:
% 44.01/15.57 | (1007) unequally_directed_lines(all_1_0_0, all_411_3_562) = all_411_0_559 & unequally_directed_lines(all_1_0_0, all_1_2_2) = all_411_1_560 & unequally_directed_lines(all_1_2_2, all_411_3_562) = all_411_2_561 & unequally_directed_lines(all_1_2_2, all_411_5_564) = all_411_4_563 & reverse_line(all_1_0_0) = all_411_5_564 & reverse_line(all_1_2_2) = all_411_3_562 & ( ~ (all_411_4_563 = 0) | (all_411_0_559 = 0 & all_411_1_560 = 0) | (all_411_2_561 = 0 & all_18_1_5 = 0))
% 44.01/15.57 |
% 44.01/15.57 | Applying alpha-rule on (1007) yields:
% 44.01/15.57 | (1008) unequally_directed_lines(all_1_2_2, all_411_3_562) = all_411_2_561
% 44.01/15.57 | (1009) unequally_directed_lines(all_1_0_0, all_1_2_2) = all_411_1_560
% 44.01/15.57 | (1010) reverse_line(all_1_2_2) = all_411_3_562
% 44.01/15.57 | (1011) ~ (all_411_4_563 = 0) | (all_411_0_559 = 0 & all_411_1_560 = 0) | (all_411_2_561 = 0 & all_18_1_5 = 0)
% 44.01/15.57 | (1012) reverse_line(all_1_0_0) = all_411_5_564
% 44.01/15.57 | (1013) unequally_directed_lines(all_1_0_0, all_411_3_562) = all_411_0_559
% 44.01/15.57 | (1014) unequally_directed_lines(all_1_2_2, all_411_5_564) = all_411_4_563
% 44.01/15.57 |
% 44.01/15.57 +-Applying beta-rule and splitting (519), into two cases.
% 44.01/15.57 |-Branch one:
% 44.01/15.57 | (837) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0)
% 44.01/15.57 |
% 44.01/15.57 | Using (836) and (837) yields:
% 44.01/15.57 | (369) $false
% 44.01/15.57 |
% 44.01/15.57 |-The branch is then unsatisfiable
% 44.01/15.57 |-Branch two:
% 44.01/15.57 | (836) unequally_directed_lines(all_1_2_2, all_1_0_0) = 0
% 44.01/15.57 | (1018) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, all_44_4_64) = v5 & unequally_directed_lines(all_1_0_0, all_1_0_0) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_44_4_64) = v3 & unequally_directed_lines(all_1_2_2, all_1_0_0) = v2 & reverse_line(all_1_0_0) = v0 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & v2 = 0)))
% 44.01/15.57 |
% 44.01/15.57 | Instantiating (1018) with all_435_0_571, all_435_1_572, all_435_2_573, all_435_3_574, all_435_4_575, all_435_5_576 yields:
% 44.01/15.57 | (1019) unequally_directed_lines(all_1_0_0, all_44_4_64) = all_435_0_571 & unequally_directed_lines(all_1_0_0, all_1_0_0) = all_435_1_572 & unequally_directed_lines(all_1_2_2, all_435_5_576) = all_435_4_575 & unequally_directed_lines(all_1_2_2, all_44_4_64) = all_435_2_573 & unequally_directed_lines(all_1_2_2, all_1_0_0) = all_435_3_574 & reverse_line(all_1_0_0) = all_435_5_576 & ( ~ (all_435_4_575 = 0) | (all_435_0_571 = 0 & all_435_1_572 = 0) | (all_435_2_573 = 0 & all_435_3_574 = 0))
% 44.01/15.57 |
% 44.01/15.57 | Applying alpha-rule on (1019) yields:
% 44.01/15.57 | (1020) unequally_directed_lines(all_1_2_2, all_1_0_0) = all_435_3_574
% 44.01/15.57 | (1021) unequally_directed_lines(all_1_2_2, all_435_5_576) = all_435_4_575
% 44.01/15.57 | (1022) unequally_directed_lines(all_1_0_0, all_44_4_64) = all_435_0_571
% 44.01/15.57 | (1023) unequally_directed_lines(all_1_2_2, all_44_4_64) = all_435_2_573
% 44.01/15.57 | (1024) reverse_line(all_1_0_0) = all_435_5_576
% 44.01/15.57 | (1025) unequally_directed_lines(all_1_0_0, all_1_0_0) = all_435_1_572
% 44.01/15.57 | (1026) ~ (all_435_4_575 = 0) | (all_435_0_571 = 0 & all_435_1_572 = 0) | (all_435_2_573 = 0 & all_435_3_574 = 0)
% 44.01/15.57 |
% 44.01/15.57 +-Applying beta-rule and splitting (490), into two cases.
% 44.01/15.57 |-Branch one:
% 44.01/15.57 | (837) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0)
% 44.01/15.57 |
% 44.01/15.57 | Using (836) and (837) yields:
% 44.01/15.58 | (369) $false
% 44.01/15.58 |
% 44.01/15.58 |-The branch is then unsatisfiable
% 44.01/15.58 |-Branch two:
% 44.01/15.58 | (836) unequally_directed_lines(all_1_2_2, all_1_0_0) = 0
% 44.01/15.58 | (1030) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v2) = v5 & unequally_directed_lines(all_1_0_0, all_1_1_1) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, v0) = v1 & reverse_line(all_1_0_0) = v0 & reverse_line(all_1_1_1) = v2 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_18_0_4 = 0)))
% 44.01/15.58 |
% 44.01/15.58 +-Applying beta-rule and splitting (491), into two cases.
% 44.01/15.58 |-Branch one:
% 44.01/15.58 | (954) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0)
% 44.01/15.58 |
% 44.01/15.58 | Using (927) and (954) yields:
% 44.01/15.58 | (369) $false
% 44.01/15.58 |
% 44.01/15.58 |-The branch is then unsatisfiable
% 44.01/15.58 |-Branch two:
% 44.01/15.58 | (927) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0
% 44.01/15.58 | (1034) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, v2) = v5 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, v0) = v1 & reverse_line(all_1_1_1) = v2 & reverse_line(all_1_1_1) = v0 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0)))
% 44.01/15.58 |
% 44.01/15.58 +-Applying beta-rule and splitting (496), into two cases.
% 44.01/15.58 |-Branch one:
% 44.01/15.58 | (954) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0)
% 44.01/15.58 |
% 44.01/15.58 | Using (927) and (954) yields:
% 44.01/15.58 | (369) $false
% 44.01/15.58 |
% 44.01/15.58 |-The branch is then unsatisfiable
% 44.01/15.58 |-Branch two:
% 44.01/15.58 | (927) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0
% 44.01/15.58 | (1038) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (intersection_point(all_1_2_2, all_1_2_2) = v1 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v0 & apart_point_and_line(v1, all_1_2_2) = v3 & apart_point_and_line(v1, all_1_2_2) = v2 & ( ~ (v0 = 0) | ( ~ (v3 = 0) & ~ (v2 = 0))))
% 44.01/15.58 |
% 44.01/15.58 | Instantiating (1038) with all_458_0_589, all_458_1_590, all_458_2_591, all_458_3_592 yields:
% 44.01/15.58 | (1039) intersection_point(all_1_2_2, all_1_2_2) = all_458_2_591 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_458_3_592 & apart_point_and_line(all_458_2_591, all_1_2_2) = all_458_0_589 & apart_point_and_line(all_458_2_591, all_1_2_2) = all_458_1_590 & ( ~ (all_458_3_592 = 0) | ( ~ (all_458_0_589 = 0) & ~ (all_458_1_590 = 0)))
% 44.01/15.58 |
% 44.01/15.58 | Applying alpha-rule on (1039) yields:
% 44.01/15.58 | (1040) apart_point_and_line(all_458_2_591, all_1_2_2) = all_458_0_589
% 44.01/15.58 | (1041) ~ (all_458_3_592 = 0) | ( ~ (all_458_0_589 = 0) & ~ (all_458_1_590 = 0))
% 44.01/15.58 | (1042) apart_point_and_line(all_458_2_591, all_1_2_2) = all_458_1_590
% 44.01/15.58 | (1043) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_458_3_592
% 44.01/15.58 | (1044) intersection_point(all_1_2_2, all_1_2_2) = all_458_2_591
% 44.01/15.58 |
% 44.01/15.58 +-Applying beta-rule and splitting (497), into two cases.
% 44.01/15.58 |-Branch one:
% 44.01/15.58 | (954) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0)
% 44.01/15.58 |
% 44.01/15.58 | Using (927) and (954) yields:
% 44.01/15.58 | (369) $false
% 44.01/15.58 |
% 44.01/15.58 |-The branch is then unsatisfiable
% 44.01/15.58 |-Branch two:
% 44.01/15.58 | (927) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0
% 44.01/15.58 | (1048) ? [v0] : ? [v1] : ? [v2] : (left_convergent_lines(all_1_2_2, all_1_1_1) = v2 & left_convergent_lines(all_1_2_2, all_1_2_2) = v1 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v0 & ( ~ (v0 = 0) | v2 = 0 | v1 = 0))
% 44.01/15.58 |
% 44.01/15.58 | Instantiating (1048) with all_463_0_593, all_463_1_594, all_463_2_595 yields:
% 44.01/15.58 | (1049) left_convergent_lines(all_1_2_2, all_1_1_1) = all_463_0_593 & left_convergent_lines(all_1_2_2, all_1_2_2) = all_463_1_594 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_463_2_595 & ( ~ (all_463_2_595 = 0) | all_463_0_593 = 0 | all_463_1_594 = 0)
% 44.01/15.58 |
% 44.01/15.58 | Applying alpha-rule on (1049) yields:
% 44.01/15.58 | (1050) left_convergent_lines(all_1_2_2, all_1_1_1) = all_463_0_593
% 44.01/15.58 | (1051) left_convergent_lines(all_1_2_2, all_1_2_2) = all_463_1_594
% 44.01/15.58 | (1052) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_463_2_595
% 44.01/15.58 | (1053) ~ (all_463_2_595 = 0) | all_463_0_593 = 0 | all_463_1_594 = 0
% 44.01/15.58 |
% 44.01/15.58 +-Applying beta-rule and splitting (495), into two cases.
% 44.01/15.58 |-Branch one:
% 44.01/15.58 | (954) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0)
% 44.01/15.58 |
% 44.01/15.58 | Using (927) and (954) yields:
% 44.01/15.58 | (369) $false
% 44.01/15.58 |
% 44.01/15.58 |-The branch is then unsatisfiable
% 44.01/15.58 |-Branch two:
% 44.01/15.58 | (927) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0
% 44.01/15.58 | (1057) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection_point(all_1_2_2, all_1_2_2) = v3 & point(v3) = v4 & line(all_1_2_2) = v1 & line(all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0))
% 44.01/15.58 |
% 44.01/15.58 | Instantiating (1057) with all_468_0_596, all_468_1_597, all_468_2_598, all_468_3_599, all_468_4_600 yields:
% 44.01/15.58 | (1058) intersection_point(all_1_2_2, all_1_2_2) = all_468_1_597 & point(all_468_1_597) = all_468_0_596 & line(all_1_2_2) = all_468_3_599 & line(all_1_2_2) = all_468_4_600 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_468_2_598 & ( ~ (all_468_2_598 = 0) | ~ (all_468_3_599 = 0) | ~ (all_468_4_600 = 0) | all_468_0_596 = 0)
% 44.01/15.58 |
% 44.01/15.58 | Applying alpha-rule on (1058) yields:
% 44.01/15.58 | (1059) ~ (all_468_2_598 = 0) | ~ (all_468_3_599 = 0) | ~ (all_468_4_600 = 0) | all_468_0_596 = 0
% 44.01/15.58 | (1060) point(all_468_1_597) = all_468_0_596
% 44.01/15.58 | (1061) intersection_point(all_1_2_2, all_1_2_2) = all_468_1_597
% 44.01/15.58 | (1062) line(all_1_2_2) = all_468_3_599
% 44.01/15.58 | (1063) line(all_1_2_2) = all_468_4_600
% 44.01/15.58 | (1064) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_468_2_598
% 44.01/15.58 |
% 44.01/15.58 +-Applying beta-rule and splitting (498), into two cases.
% 44.01/15.58 |-Branch one:
% 44.01/15.58 | (954) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0)
% 44.01/15.58 |
% 44.01/15.58 | Using (927) and (954) yields:
% 44.01/15.58 | (369) $false
% 44.01/15.58 |
% 44.01/15.58 |-The branch is then unsatisfiable
% 44.01/15.58 |-Branch two:
% 44.01/15.58 | (927) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0
% 44.01/15.58 | (1068) all_28_1_22 = 0
% 44.01/15.58 |
% 44.01/15.58 | From (1068) and (214) follows:
% 44.01/15.58 | (1069) unequally_directed_lines(all_1_1_1, all_1_2_2) = 0
% 44.01/15.58 |
% 44.01/15.58 +-Applying beta-rule and splitting (499), into two cases.
% 44.01/15.58 |-Branch one:
% 44.01/15.58 | (954) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0)
% 44.01/15.58 |
% 44.01/15.58 | Using (927) and (954) yields:
% 44.01/15.58 | (369) $false
% 44.01/15.58 |
% 44.01/15.58 |-The branch is then unsatisfiable
% 44.01/15.58 |-Branch two:
% 44.01/15.58 | (927) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0
% 44.01/15.58 | (1073) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, v3) = v5 & unequally_directed_lines(all_1_2_2, v3) = v4 & unequally_directed_lines(all_1_2_2, v0) = v1 & unequally_directed_lines(all_1_2_2, all_1_2_2) = v2 & reverse_line(all_1_1_1) = v0 & reverse_line(all_1_2_2) = v3 & ( ~ (v1 = 0) | (v5 = 0 & all_28_1_22 = 0) | (v4 = 0 & v2 = 0)))
% 44.01/15.58 |
% 44.01/15.58 | Instantiating (1073) with all_487_0_609, all_487_1_610, all_487_2_611, all_487_3_612, all_487_4_613, all_487_5_614 yields:
% 44.01/15.58 | (1074) unequally_directed_lines(all_1_1_1, all_487_2_611) = all_487_0_609 & unequally_directed_lines(all_1_2_2, all_487_2_611) = all_487_1_610 & unequally_directed_lines(all_1_2_2, all_487_5_614) = all_487_4_613 & unequally_directed_lines(all_1_2_2, all_1_2_2) = all_487_3_612 & reverse_line(all_1_1_1) = all_487_5_614 & reverse_line(all_1_2_2) = all_487_2_611 & ( ~ (all_487_4_613 = 0) | (all_487_0_609 = 0 & all_28_1_22 = 0) | (all_487_1_610 = 0 & all_487_3_612 = 0))
% 44.01/15.58 |
% 44.01/15.58 | Applying alpha-rule on (1074) yields:
% 44.01/15.58 | (1075) reverse_line(all_1_1_1) = all_487_5_614
% 44.01/15.58 | (1076) ~ (all_487_4_613 = 0) | (all_487_0_609 = 0 & all_28_1_22 = 0) | (all_487_1_610 = 0 & all_487_3_612 = 0)
% 44.01/15.58 | (1077) reverse_line(all_1_2_2) = all_487_2_611
% 44.01/15.58 | (1078) unequally_directed_lines(all_1_2_2, all_1_2_2) = all_487_3_612
% 44.01/15.58 | (1079) unequally_directed_lines(all_1_2_2, all_487_5_614) = all_487_4_613
% 44.01/15.58 | (1080) unequally_directed_lines(all_1_2_2, all_487_2_611) = all_487_1_610
% 44.01/15.58 | (1081) unequally_directed_lines(all_1_1_1, all_487_2_611) = all_487_0_609
% 44.01/15.58 |
% 44.01/15.58 +-Applying beta-rule and splitting (501), into two cases.
% 44.01/15.58 |-Branch one:
% 44.01/15.58 | (954) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0)
% 44.01/15.58 |
% 44.01/15.58 | Using (927) and (954) yields:
% 44.01/15.58 | (369) $false
% 44.01/15.58 |
% 44.01/15.58 |-The branch is then unsatisfiable
% 44.01/15.58 |-Branch two:
% 44.01/15.58 | (927) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0
% 44.01/15.58 | (1085) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (intersection_point(all_1_2_2, all_1_1_1) = v4 & point(v4) = v5 & line(all_1_1_1) = v1 & line(all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v2) = v3 & reverse_line(all_1_1_1) = v2 & ( ~ (v3 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 44.01/15.59 |
% 44.01/15.59 +-Applying beta-rule and splitting (500), into two cases.
% 44.01/15.59 |-Branch one:
% 44.01/15.59 | (954) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0)
% 44.01/15.59 |
% 44.01/15.59 | Using (927) and (954) yields:
% 44.01/15.59 | (369) $false
% 44.01/15.59 |
% 44.01/15.59 |-The branch is then unsatisfiable
% 44.01/15.59 |-Branch two:
% 44.01/15.59 | (927) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0
% 44.01/15.59 | (1089) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, v2) = v5 & unequally_directed_lines(all_1_1_1, all_1_0_0) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, v0) = v1 & reverse_line(all_1_0_0) = v2 & reverse_line(all_1_1_1) = v0 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_30_0_27 = 0)))
% 44.01/15.59 |
% 44.01/15.59 +-Applying beta-rule and splitting (502), into two cases.
% 44.01/15.59 |-Branch one:
% 44.01/15.59 | (954) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0)
% 44.01/15.59 |
% 44.01/15.59 | Using (927) and (954) yields:
% 44.01/15.59 | (369) $false
% 44.01/15.59 |
% 44.01/15.59 |-The branch is then unsatisfiable
% 44.01/15.59 |-Branch two:
% 44.01/15.59 | (927) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0
% 44.01/15.59 | (1093) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection_point(all_1_2_2, all_1_1_1) = v2 & unequally_directed_lines(all_1_2_2, v0) = v1 & apart_point_and_line(v2, all_1_1_1) = v4 & apart_point_and_line(v2, all_1_2_2) = v3 & reverse_line(all_1_1_1) = v0 & ( ~ (v1 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0))))
% 44.01/15.59 |
% 44.01/15.59 +-Applying beta-rule and splitting (504), into two cases.
% 44.01/15.59 |-Branch one:
% 44.01/15.59 | (954) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0)
% 44.01/15.59 |
% 44.01/15.59 | Using (927) and (954) yields:
% 44.01/15.59 | (369) $false
% 44.01/15.59 |
% 44.01/15.59 |-The branch is then unsatisfiable
% 44.01/15.59 |-Branch two:
% 44.01/15.59 | (927) unequally_directed_lines(all_1_2_2, all_1_1_1) = 0
% 44.01/15.59 | (1097) ? [v0] : ? [v1] : ? [v2] : (convergent_lines(all_1_2_2, all_1_1_1) = v2 & unequally_directed_lines(all_1_2_2, v0) = v1 & reverse_line(all_1_1_1) = v0 & ( ~ (v1 = 0) | v2 = 0))
% 44.01/15.59 |
% 44.01/15.59 +-Applying beta-rule and splitting (489), into two cases.
% 44.01/15.59 |-Branch one:
% 44.01/15.59 | (1098) ~ (unequally_directed_lines(all_1_1_1, all_1_2_2) = 0)
% 44.01/15.59 |
% 44.01/15.59 | Using (1069) and (1098) yields:
% 44.01/15.59 | (369) $false
% 44.01/15.59 |
% 44.01/15.59 |-The branch is then unsatisfiable
% 44.01/15.59 |-Branch two:
% 44.01/15.59 | (1069) unequally_directed_lines(all_1_1_1, all_1_2_2) = 0
% 44.01/15.59 | (1101) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, v3) = v4 & unequally_directed_lines(all_1_1_1, v0) = v1 & unequally_directed_lines(all_1_1_1, all_1_1_1) = v2 & unequally_directed_lines(all_1_2_2, v3) = v5 & reverse_line(all_1_1_1) = v3 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | (v5 = 0 & all_18_0_4 = 0) | (v4 = 0 & v2 = 0)))
% 44.01/15.59 |
% 44.01/15.59 | Instantiating (1101) with all_520_0_635, all_520_1_636, all_520_2_637, all_520_3_638, all_520_4_639, all_520_5_640 yields:
% 44.01/15.59 | (1102) unequally_directed_lines(all_1_1_1, all_520_2_637) = all_520_1_636 & unequally_directed_lines(all_1_1_1, all_520_5_640) = all_520_4_639 & unequally_directed_lines(all_1_1_1, all_1_1_1) = all_520_3_638 & unequally_directed_lines(all_1_2_2, all_520_2_637) = all_520_0_635 & reverse_line(all_1_1_1) = all_520_2_637 & reverse_line(all_1_2_2) = all_520_5_640 & ( ~ (all_520_4_639 = 0) | (all_520_0_635 = 0 & all_18_0_4 = 0) | (all_520_1_636 = 0 & all_520_3_638 = 0))
% 44.01/15.59 |
% 44.01/15.59 | Applying alpha-rule on (1102) yields:
% 44.01/15.59 | (1103) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_520_3_638
% 44.01/15.59 | (1104) reverse_line(all_1_2_2) = all_520_5_640
% 44.01/15.59 | (1105) reverse_line(all_1_1_1) = all_520_2_637
% 44.01/15.59 | (1106) unequally_directed_lines(all_1_2_2, all_520_2_637) = all_520_0_635
% 44.01/15.59 | (1107) unequally_directed_lines(all_1_1_1, all_520_2_637) = all_520_1_636
% 44.01/15.59 | (1108) unequally_directed_lines(all_1_1_1, all_520_5_640) = all_520_4_639
% 44.01/15.59 | (1109) ~ (all_520_4_639 = 0) | (all_520_0_635 = 0 & all_18_0_4 = 0) | (all_520_1_636 = 0 & all_520_3_638 = 0)
% 44.01/15.59 |
% 44.01/15.59 +-Applying beta-rule and splitting (450), into two cases.
% 44.01/15.59 |-Branch one:
% 44.01/15.59 | (1098) ~ (unequally_directed_lines(all_1_1_1, all_1_2_2) = 0)
% 44.01/15.59 |
% 44.01/15.59 | Using (1069) and (1098) yields:
% 44.01/15.59 | (369) $false
% 44.01/15.59 |
% 44.01/15.59 |-The branch is then unsatisfiable
% 44.01/15.59 |-Branch two:
% 44.01/15.59 | (1069) unequally_directed_lines(all_1_1_1, all_1_2_2) = 0
% 44.01/15.59 | (1113) ? [v0] : ? [v1] : ? [v2] : (convergent_lines(all_1_1_1, all_1_2_2) = v2 & unequally_directed_lines(all_1_1_1, v0) = v1 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | v2 = 0))
% 44.01/15.59 |
% 44.01/15.59 | Instantiating (1113) with all_526_0_641, all_526_1_642, all_526_2_643 yields:
% 44.01/15.59 | (1114) convergent_lines(all_1_1_1, all_1_2_2) = all_526_0_641 & unequally_directed_lines(all_1_1_1, all_526_2_643) = all_526_1_642 & reverse_line(all_1_2_2) = all_526_2_643 & ( ~ (all_526_1_642 = 0) | all_526_0_641 = 0)
% 44.01/15.59 |
% 44.01/15.59 | Applying alpha-rule on (1114) yields:
% 44.01/15.59 | (1115) convergent_lines(all_1_1_1, all_1_2_2) = all_526_0_641
% 44.01/15.59 | (1116) unequally_directed_lines(all_1_1_1, all_526_2_643) = all_526_1_642
% 44.01/15.59 | (1117) reverse_line(all_1_2_2) = all_526_2_643
% 44.01/15.59 | (1118) ~ (all_526_1_642 = 0) | all_526_0_641 = 0
% 44.01/15.59 |
% 44.01/15.59 +-Applying beta-rule and splitting (449), into two cases.
% 44.01/15.59 |-Branch one:
% 44.01/15.59 | (1098) ~ (unequally_directed_lines(all_1_1_1, all_1_2_2) = 0)
% 44.01/15.59 |
% 44.01/15.59 | Using (1069) and (1098) yields:
% 44.01/15.59 | (369) $false
% 44.01/15.59 |
% 44.01/15.59 |-The branch is then unsatisfiable
% 44.01/15.59 |-Branch two:
% 44.01/15.59 | (1069) unequally_directed_lines(all_1_1_1, all_1_2_2) = 0
% 44.01/15.59 | (1122) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (left_convergent_lines(all_1_1_1, v0) = v3 & left_convergent_lines(all_1_1_1, all_1_2_2) = v2 & unequally_directed_lines(all_1_1_1, v0) = v1 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | v3 = 0 | v2 = 0))
% 44.01/15.59 |
% 44.01/15.59 | Instantiating (1122) with all_531_0_644, all_531_1_645, all_531_2_646, all_531_3_647 yields:
% 44.01/15.59 | (1123) left_convergent_lines(all_1_1_1, all_531_3_647) = all_531_0_644 & left_convergent_lines(all_1_1_1, all_1_2_2) = all_531_1_645 & unequally_directed_lines(all_1_1_1, all_531_3_647) = all_531_2_646 & reverse_line(all_1_2_2) = all_531_3_647 & ( ~ (all_531_2_646 = 0) | all_531_0_644 = 0 | all_531_1_645 = 0)
% 44.01/15.59 |
% 44.01/15.59 | Applying alpha-rule on (1123) yields:
% 44.01/15.59 | (1124) ~ (all_531_2_646 = 0) | all_531_0_644 = 0 | all_531_1_645 = 0
% 44.01/15.59 | (1125) left_convergent_lines(all_1_1_1, all_1_2_2) = all_531_1_645
% 44.01/15.59 | (1126) unequally_directed_lines(all_1_1_1, all_531_3_647) = all_531_2_646
% 44.01/15.59 | (1127) left_convergent_lines(all_1_1_1, all_531_3_647) = all_531_0_644
% 44.01/15.59 | (1128) reverse_line(all_1_2_2) = all_531_3_647
% 44.01/15.59 |
% 44.01/15.59 +-Applying beta-rule and splitting (448), into two cases.
% 44.01/15.59 |-Branch one:
% 44.01/15.59 | (1098) ~ (unequally_directed_lines(all_1_1_1, all_1_2_2) = 0)
% 44.01/15.59 |
% 44.01/15.59 | Using (1069) and (1098) yields:
% 44.01/15.59 | (369) $false
% 44.01/15.59 |
% 44.01/15.59 |-The branch is then unsatisfiable
% 44.01/15.59 |-Branch two:
% 44.01/15.59 | (1069) unequally_directed_lines(all_1_1_1, all_1_2_2) = 0
% 44.01/15.59 | (1132) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (intersection_point(all_1_1_1, all_1_2_2) = v2 & unequally_directed_lines(all_1_1_1, v0) = v1 & apart_point_and_line(v2, all_1_1_1) = v3 & apart_point_and_line(v2, all_1_2_2) = v4 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0))))
% 44.01/15.59 |
% 44.01/15.59 | Instantiating (1132) with all_536_0_648, all_536_1_649, all_536_2_650, all_536_3_651, all_536_4_652 yields:
% 44.01/15.59 | (1133) intersection_point(all_1_1_1, all_1_2_2) = all_536_2_650 & unequally_directed_lines(all_1_1_1, all_536_4_652) = all_536_3_651 & apart_point_and_line(all_536_2_650, all_1_1_1) = all_536_1_649 & apart_point_and_line(all_536_2_650, all_1_2_2) = all_536_0_648 & reverse_line(all_1_2_2) = all_536_4_652 & ( ~ (all_536_3_651 = 0) | ( ~ (all_536_0_648 = 0) & ~ (all_536_1_649 = 0)))
% 44.01/15.59 |
% 44.01/15.59 | Applying alpha-rule on (1133) yields:
% 44.01/15.59 | (1134) reverse_line(all_1_2_2) = all_536_4_652
% 44.01/15.59 | (1135) intersection_point(all_1_1_1, all_1_2_2) = all_536_2_650
% 44.01/15.59 | (1136) apart_point_and_line(all_536_2_650, all_1_1_1) = all_536_1_649
% 44.01/15.59 | (1137) ~ (all_536_3_651 = 0) | ( ~ (all_536_0_648 = 0) & ~ (all_536_1_649 = 0))
% 44.01/15.59 | (1138) unequally_directed_lines(all_1_1_1, all_536_4_652) = all_536_3_651
% 44.01/15.59 | (1139) apart_point_and_line(all_536_2_650, all_1_2_2) = all_536_0_648
% 44.01/15.59 |
% 44.01/15.59 +-Applying beta-rule and splitting (461), into two cases.
% 44.01/15.59 |-Branch one:
% 44.01/15.59 | (837) ~ (unequally_directed_lines(all_1_2_2, all_1_0_0) = 0)
% 44.01/15.59 |
% 44.01/15.59 | Using (836) and (837) yields:
% 44.01/15.59 | (369) $false
% 44.01/15.59 |
% 44.01/15.59 |-The branch is then unsatisfiable
% 44.01/15.59 |-Branch two:
% 44.01/15.59 | (836) unequally_directed_lines(all_1_2_2, all_1_0_0) = 0
% 44.01/15.59 | (1143) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_0_0, v2) = v5 & unequally_directed_lines(all_1_0_0, all_1_0_0) = v4 & unequally_directed_lines(all_1_2_2, v2) = v3 & unequally_directed_lines(all_1_2_2, v0) = v1 & reverse_line(all_1_0_0) = v2 & reverse_line(all_1_0_0) = v0 & ( ~ (v1 = 0) | v3 = 0 | (v5 = 0 & v4 = 0)))
% 44.01/15.59 |
% 44.01/15.59 +-Applying beta-rule and splitting (513), into two cases.
% 44.01/15.59 |-Branch one:
% 44.01/15.59 | (1144) all_18_1_5 = 0
% 44.01/15.59 |
% 44.01/15.59 | Equations (1144) can reduce 352 to:
% 44.01/15.59 | (1145) $false
% 44.01/15.59 |
% 44.01/15.59 |-The branch is then unsatisfiable
% 44.01/15.59 |-Branch two:
% 44.01/15.59 | (352) ~ (all_18_1_5 = 0)
% 44.01/15.59 | (1147) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (line(all_1_2_2) = v1 & line(all_1_2_2) = v0 & unequally_directed_lines(all_1_2_2, v2) = v3 & reverse_line(all_1_2_2) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0))
% 44.01/15.59 |
% 44.01/15.59 | Instantiating (1147) with all_550_0_659, all_550_1_660, all_550_2_661, all_550_3_662 yields:
% 44.01/15.59 | (1148) line(all_1_2_2) = all_550_2_661 & line(all_1_2_2) = all_550_3_662 & unequally_directed_lines(all_1_2_2, all_550_1_660) = all_550_0_659 & reverse_line(all_1_2_2) = all_550_1_660 & ( ~ (all_550_2_661 = 0) | ~ (all_550_3_662 = 0) | all_550_0_659 = 0)
% 44.01/15.59 |
% 44.01/15.59 | Applying alpha-rule on (1148) yields:
% 44.01/15.59 | (1149) unequally_directed_lines(all_1_2_2, all_550_1_660) = all_550_0_659
% 44.01/15.59 | (1150) ~ (all_550_2_661 = 0) | ~ (all_550_3_662 = 0) | all_550_0_659 = 0
% 44.01/15.60 | (1151) line(all_1_2_2) = all_550_3_662
% 44.01/15.60 | (1152) reverse_line(all_1_2_2) = all_550_1_660
% 44.01/15.60 | (1153) line(all_1_2_2) = all_550_2_661
% 44.01/15.60 |
% 44.01/15.60 +-Applying beta-rule and splitting (447), into two cases.
% 44.01/15.60 |-Branch one:
% 44.01/15.60 | (1098) ~ (unequally_directed_lines(all_1_1_1, all_1_2_2) = 0)
% 44.01/15.60 |
% 44.01/15.60 | Using (1069) and (1098) yields:
% 44.01/15.60 | (369) $false
% 44.01/15.60 |
% 44.01/15.60 |-The branch is then unsatisfiable
% 44.01/15.60 |-Branch two:
% 44.01/15.60 | (1069) unequally_directed_lines(all_1_1_1, all_1_2_2) = 0
% 44.01/15.60 | (1157) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (intersection_point(all_1_1_1, all_1_2_2) = v4 & point(v4) = v5 & line(all_1_1_1) = v0 & line(all_1_2_2) = v1 & unequally_directed_lines(all_1_1_1, v2) = v3 & reverse_line(all_1_2_2) = v2 & ( ~ (v3 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 44.01/15.60 |
% 44.01/15.60 +-Applying beta-rule and splitting (446), into two cases.
% 44.01/15.60 |-Branch one:
% 44.01/15.60 | (1098) ~ (unequally_directed_lines(all_1_1_1, all_1_2_2) = 0)
% 44.01/15.60 |
% 44.39/15.60 | Using (1069) and (1098) yields:
% 44.39/15.60 | (369) $false
% 44.39/15.60 |
% 44.39/15.60 |-The branch is then unsatisfiable
% 44.39/15.60 |-Branch two:
% 44.39/15.60 | (1069) unequally_directed_lines(all_1_1_1, all_1_2_2) = 0
% 44.39/15.60 | (1161) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, v2) = v3 & unequally_directed_lines(all_1_1_1, v0) = v1 & unequally_directed_lines(all_1_2_2, v2) = v5 & unequally_directed_lines(all_1_2_2, all_1_1_1) = v4 & reverse_line(all_1_1_1) = v2 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | (v5 = 0 & v4 = 0) | (v3 = 0 & all_28_0_21 = 0)))
% 44.39/15.60 |
% 44.39/15.60 | Instantiating (1161) with all_564_0_669, all_564_1_670, all_564_2_671, all_564_3_672, all_564_4_673, all_564_5_674 yields:
% 44.39/15.60 | (1162) unequally_directed_lines(all_1_1_1, all_564_3_672) = all_564_2_671 & unequally_directed_lines(all_1_1_1, all_564_5_674) = all_564_4_673 & unequally_directed_lines(all_1_2_2, all_564_3_672) = all_564_0_669 & unequally_directed_lines(all_1_2_2, all_1_1_1) = all_564_1_670 & reverse_line(all_1_1_1) = all_564_3_672 & reverse_line(all_1_2_2) = all_564_5_674 & ( ~ (all_564_4_673 = 0) | (all_564_0_669 = 0 & all_564_1_670 = 0) | (all_564_2_671 = 0 & all_28_0_21 = 0))
% 44.39/15.60 |
% 44.39/15.60 | Applying alpha-rule on (1162) yields:
% 44.39/15.60 | (1163) unequally_directed_lines(all_1_2_2, all_564_3_672) = all_564_0_669
% 44.39/15.60 | (1164) reverse_line(all_1_2_2) = all_564_5_674
% 44.39/15.60 | (1165) unequally_directed_lines(all_1_2_2, all_1_1_1) = all_564_1_670
% 44.39/15.60 | (1166) reverse_line(all_1_1_1) = all_564_3_672
% 44.39/15.60 | (1167) ~ (all_564_4_673 = 0) | (all_564_0_669 = 0 & all_564_1_670 = 0) | (all_564_2_671 = 0 & all_28_0_21 = 0)
% 44.39/15.60 | (1168) unequally_directed_lines(all_1_1_1, all_564_3_672) = all_564_2_671
% 44.39/15.60 | (1169) unequally_directed_lines(all_1_1_1, all_564_5_674) = all_564_4_673
% 44.39/15.60 |
% 44.39/15.60 +-Applying beta-rule and splitting (459), into two cases.
% 44.39/15.60 |-Branch one:
% 44.39/15.60 | (1098) ~ (unequally_directed_lines(all_1_1_1, all_1_2_2) = 0)
% 44.39/15.60 |
% 44.39/15.60 | Using (1069) and (1098) yields:
% 44.39/15.60 | (369) $false
% 44.39/15.60 |
% 44.39/15.60 |-The branch is then unsatisfiable
% 44.39/15.60 |-Branch two:
% 44.39/15.60 | (1069) unequally_directed_lines(all_1_1_1, all_1_2_2) = 0
% 44.39/15.60 | (1173) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (unequally_directed_lines(all_1_1_1, v3) = v4 & unequally_directed_lines(all_1_1_1, v0) = v1 & unequally_directed_lines(all_1_1_1, all_1_0_0) = v2 & unequally_directed_lines(all_1_2_2, v3) = v5 & reverse_line(all_1_0_0) = v3 & reverse_line(all_1_2_2) = v0 & ( ~ (v1 = 0) | (v5 = 0 & all_30_0_27 = 0) | (v4 = 0 & v2 = 0)))
% 44.39/15.60 |
% 44.39/15.60 | Instantiating (1173) with all_575_0_676, all_575_1_677, all_575_2_678, all_575_3_679, all_575_4_680, all_575_5_681 yields:
% 44.39/15.60 | (1174) unequally_directed_lines(all_1_1_1, all_575_2_678) = all_575_1_677 & unequally_directed_lines(all_1_1_1, all_575_5_681) = all_575_4_680 & unequally_directed_lines(all_1_1_1, all_1_0_0) = all_575_3_679 & unequally_directed_lines(all_1_2_2, all_575_2_678) = all_575_0_676 & reverse_line(all_1_0_0) = all_575_2_678 & reverse_line(all_1_2_2) = all_575_5_681 & ( ~ (all_575_4_680 = 0) | (all_575_0_676 = 0 & all_30_0_27 = 0) | (all_575_1_677 = 0 & all_575_3_679 = 0))
% 44.39/15.60 |
% 44.39/15.60 | Applying alpha-rule on (1174) yields:
% 44.39/15.60 | (1175) unequally_directed_lines(all_1_1_1, all_1_0_0) = all_575_3_679
% 44.39/15.60 | (1176) unequally_directed_lines(all_1_1_1, all_575_2_678) = all_575_1_677
% 44.39/15.60 | (1177) ~ (all_575_4_680 = 0) | (all_575_0_676 = 0 & all_30_0_27 = 0) | (all_575_1_677 = 0 & all_575_3_679 = 0)
% 44.39/15.60 | (1178) unequally_directed_lines(all_1_2_2, all_575_2_678) = all_575_0_676
% 44.39/15.60 | (1179) reverse_line(all_1_2_2) = all_575_5_681
% 44.39/15.60 | (1180) unequally_directed_lines(all_1_1_1, all_575_5_681) = all_575_4_680
% 44.39/15.60 | (1181) reverse_line(all_1_0_0) = all_575_2_678
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_305_3_472, all_397_3_552 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_397_3_552, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_305_3_472, yields:
% 44.39/15.60 | (1182) all_397_3_552 = all_305_3_472
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_292_3_467, all_435_3_574 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_435_3_574, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_292_3_467, yields:
% 44.39/15.60 | (1183) all_435_3_574 = all_292_3_467
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_276_1_421, all_292_3_467 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_292_3_467, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_276_1_421, yields:
% 44.39/15.60 | (1184) all_292_3_467 = all_276_1_421
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_272_5_413, all_276_1_421 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_276_1_421, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_272_5_413, yields:
% 44.39/15.60 | (1185) all_276_1_421 = all_272_5_413
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_270_1_404, all_305_3_472 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_305_3_472, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_270_1_404, yields:
% 44.39/15.60 | (1186) all_305_3_472 = all_270_1_404
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_270_1_404, all_272_5_413 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_272_5_413, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_270_1_404, yields:
% 44.39/15.60 | (1187) all_272_5_413 = all_270_1_404
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_270_4_407, all_278_1_427 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_278_1_427, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_270_4_407, yields:
% 44.39/15.60 | (1188) all_278_1_427 = all_270_4_407
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_270_4_407, all_270_1_404 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_270_1_404, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_270_4_407, yields:
% 44.39/15.60 | (1189) all_270_1_404 = all_270_4_407
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_266_4_399, all_435_3_574 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_435_3_574, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_266_4_399, yields:
% 44.39/15.60 | (1190) all_435_3_574 = all_266_4_399
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_262_4_388, all_305_3_472 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_305_3_472, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_262_4_388, yields:
% 44.39/15.60 | (1191) all_305_3_472 = all_262_4_388
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_260_3_382, all_264_4_393 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_264_4_393, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_260_3_382, yields:
% 44.39/15.60 | (1192) all_264_4_393 = all_260_3_382
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_258_5_378, all_280_4_436 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_280_4_436, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_258_5_378, yields:
% 44.39/15.60 | (1193) all_280_4_436 = all_258_5_378
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_258_5_378, all_260_3_382 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_260_3_382, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_258_5_378, yields:
% 44.39/15.60 | (1194) all_260_3_382 = all_258_5_378
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_256_4_372, all_264_4_393 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_264_4_393, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_256_4_372, yields:
% 44.39/15.60 | (1195) all_264_4_393 = all_256_4_372
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_248_1_353, all_397_3_552 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_397_3_552, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_248_1_353, yields:
% 44.39/15.60 | (1196) all_397_3_552 = all_248_1_353
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_226_4_299, all_280_4_436 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_280_4_436, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_226_4_299, yields:
% 44.39/15.60 | (1197) all_280_4_436 = all_226_4_299
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_224_5_294, all_305_3_472 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_305_3_472, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_224_5_294, yields:
% 44.39/15.60 | (1198) all_305_3_472 = all_224_5_294
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_224_5_294, all_258_5_378 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_258_5_378, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_224_5_294, yields:
% 44.39/15.60 | (1199) all_258_5_378 = all_224_5_294
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_222_4_288, all_278_1_427 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_278_1_427, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_222_4_288, yields:
% 44.39/15.60 | (1200) all_278_1_427 = all_222_4_288
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_214_5_267, all_305_3_472 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_305_3_472, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_214_5_267, yields:
% 44.39/15.60 | (1201) all_305_3_472 = all_214_5_267
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_212_4_261, all_214_5_267 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_214_5_267, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_212_4_261, yields:
% 44.39/15.60 | (1202) all_214_5_267 = all_212_4_261
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_202_4_242, all_212_4_261 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_212_4_261, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_202_4_242, yields:
% 44.39/15.60 | (1203) all_212_4_261 = all_202_4_242
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_196_5_225, all_202_4_242 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_202_4_242, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_196_5_225, yields:
% 44.39/15.60 | (1204) all_202_4_242 = all_196_5_225
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_188_1_203, all_258_5_378 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_258_5_378, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_188_1_203, yields:
% 44.39/15.60 | (1205) all_258_5_378 = all_188_1_203
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_184_1_193, all_196_5_225 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_196_5_225, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_184_1_193, yields:
% 44.39/15.60 | (1206) all_196_5_225 = all_184_1_193
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_182_4_191, all_196_5_225 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_196_5_225, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_182_4_191, yields:
% 44.39/15.60 | (1207) all_196_5_225 = all_182_4_191
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_168_4_153, all_196_5_225 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_196_5_225, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_168_4_153, yields:
% 44.39/15.60 | (1208) all_196_5_225 = all_168_4_153
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, all_162_5_143, all_182_4_191 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_182_4_191, unequally_directed_lines(all_1_2_2, all_1_0_0) = all_162_5_143, yields:
% 44.39/15.60 | (1209) all_182_4_191 = all_162_5_143
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_0_0, 0, all_182_4_191 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_0_0) = all_182_4_191, unequally_directed_lines(all_1_2_2, all_1_0_0) = 0, yields:
% 44.39/15.60 | (1210) all_182_4_191 = 0
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_374_3_539, all_383_2_542 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_383_2_542, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_374_3_539, yields:
% 44.39/15.60 | (1211) all_383_2_542 = all_374_3_539
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_369_2_533, all_374_3_539 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_374_3_539, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_369_2_533, yields:
% 44.39/15.60 | (1212) all_374_3_539 = all_369_2_533
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_340_4_511, all_564_1_670 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_564_1_670, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_340_4_511, yields:
% 44.39/15.60 | (1213) all_564_1_670 = all_340_4_511
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_330_3_502, all_564_1_670 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_564_1_670, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_330_3_502, yields:
% 44.39/15.60 | (1214) all_564_1_670 = all_330_3_502
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_330_4_503, 0 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_330_4_503, unequally_directed_lines(all_1_2_2, all_1_1_1) = 0, yields:
% 44.39/15.60 | (1215) all_330_4_503 = 0
% 44.39/15.60 |
% 44.39/15.60 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_325_3_496, all_369_2_533 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_369_2_533, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_325_3_496, yields:
% 44.39/15.61 | (1216) all_369_2_533 = all_325_3_496
% 44.39/15.61 |
% 44.39/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_310_2_477, all_325_3_496 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_325_3_496, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_310_2_477, yields:
% 44.39/15.61 | (1217) all_325_3_496 = all_310_2_477
% 44.39/15.61 |
% 44.39/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_292_2_466, all_310_2_477 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_310_2_477, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_292_2_466, yields:
% 44.42/15.61 | (1218) all_310_2_477 = all_292_2_466
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_292_4_468, all_292_2_466 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_292_2_466, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_292_4_468, yields:
% 44.42/15.61 | (1219) all_292_2_466 = all_292_4_468
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_282_0_438, all_292_4_468 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_292_4_468, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_282_0_438, yields:
% 44.42/15.61 | (1220) all_292_4_468 = all_282_0_438
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_278_4_430, all_340_4_511 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_340_4_511, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_278_4_430, yields:
% 44.42/15.61 | (1221) all_340_4_511 = all_278_4_430
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_264_5_394, all_282_0_438 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_282_0_438, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_264_5_394, yields:
% 44.42/15.61 | (1222) all_282_0_438 = all_264_5_394
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_260_4_383, all_264_5_394 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_264_5_394, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_260_4_383, yields:
% 44.42/15.61 | (1223) all_264_5_394 = all_260_4_383
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_256_2_370, all_330_4_503 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_330_4_503, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_256_2_370, yields:
% 44.42/15.61 | (1224) all_330_4_503 = all_256_2_370
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_256_2_370, all_278_4_430 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_278_4_430, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_256_2_370, yields:
% 44.42/15.61 | (1225) all_278_4_430 = all_256_2_370
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_226_1_296, all_340_4_511 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_340_4_511, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_226_1_296, yields:
% 44.42/15.61 | (1226) all_340_4_511 = all_226_1_296
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_220_0_279, all_222_1_285 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_222_1_285, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_220_0_279, yields:
% 44.42/15.61 | (1227) all_222_1_285 = all_220_0_279
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_218_1_275, all_280_5_437 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_280_5_437, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_218_1_275, yields:
% 44.42/15.61 | (1228) all_280_5_437 = all_218_1_275
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_218_1_275, all_220_0_279 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_220_0_279, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_218_1_275, yields:
% 44.42/15.61 | (1229) all_220_0_279 = all_218_1_275
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_218_4_278, all_260_4_383 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_260_4_383, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_218_4_278, yields:
% 44.42/15.61 | (1230) all_260_4_383 = all_218_4_278
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_198_5_231, all_278_4_430 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_278_4_430, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_198_5_231, yields:
% 44.42/15.61 | (1231) all_278_4_430 = all_198_5_231
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_198_5_231, all_218_4_278 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_218_4_278, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_198_5_231, yields:
% 44.42/15.61 | (1232) all_218_4_278 = all_198_5_231
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_194_4_219, all_222_1_285 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_222_1_285, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_194_4_219, yields:
% 44.42/15.61 | (1233) all_222_1_285 = all_194_4_219
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_192_4_214, all_278_4_430 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_278_4_430, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_192_4_214, yields:
% 44.42/15.61 | (1234) all_278_4_430 = all_192_4_214
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_182_1_188, all_256_2_370 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_256_2_370, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_182_1_188, yields:
% 44.42/15.61 | (1235) all_256_2_370 = all_182_1_188
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_180_1_183, all_256_2_370 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_256_2_370, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_180_1_183, yields:
% 44.42/15.61 | (1236) all_256_2_370 = all_180_1_183
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_180_1_183, all_220_0_279 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_220_0_279, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_180_1_183, yields:
% 44.42/15.61 | (1237) all_220_0_279 = all_180_1_183
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_180_4_186, all_383_2_542 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_383_2_542, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_180_4_186, yields:
% 44.42/15.61 | (1238) all_383_2_542 = all_180_4_186
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_178_5_181, all_330_4_503 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_330_4_503, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_178_5_181, yields:
% 44.42/15.61 | (1239) all_330_4_503 = all_178_5_181
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_168_5_154, all_280_5_437 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_280_5_437, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_168_5_154, yields:
% 44.42/15.61 | (1240) all_280_5_437 = all_168_5_154
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_1_1, all_152_1_114, all_330_4_503 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_1_1) = all_330_4_503, unequally_directed_lines(all_1_2_2, all_1_1_1) = all_152_1_114, yields:
% 44.42/15.61 | (1241) all_330_4_503 = all_152_1_114
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_2_2, all_468_2_598, all_18_1_5 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_468_2_598, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_18_1_5, yields:
% 44.42/15.61 | (1242) all_468_2_598 = all_18_1_5
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_2_2, all_468_2_598, all_487_3_612 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_487_3_612, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_468_2_598, yields:
% 44.42/15.61 | (1243) all_487_3_612 = all_468_2_598
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_2_2, all_463_2_595, all_487_3_612 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_487_3_612, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_463_2_595, yields:
% 44.42/15.61 | (1244) all_487_3_612 = all_463_2_595
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_2_2, all_458_3_592, all_487_3_612 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_487_3_612, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_458_3_592, yields:
% 44.42/15.61 | (1245) all_487_3_612 = all_458_3_592
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_2_2, all_315_3_484, all_340_3_510 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_340_3_510, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_315_3_484, yields:
% 44.42/15.61 | (1246) all_340_3_510 = all_315_3_484
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_2_2, all_310_3_478, all_315_3_484 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_315_3_484, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_310_3_478, yields:
% 44.42/15.61 | (1247) all_315_3_484 = all_310_3_478
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_2_2, all_278_5_431, all_310_3_478 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_310_3_478, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_278_5_431, yields:
% 44.42/15.61 | (1248) all_310_3_478 = all_278_5_431
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_2_2, all_266_1_396, all_278_5_431 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_278_5_431, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_266_1_396, yields:
% 44.42/15.61 | (1249) all_278_5_431 = all_266_1_396
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_2_2, all_262_1_385, all_266_1_396 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_266_1_396, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_262_1_385, yields:
% 44.42/15.61 | (1250) all_266_1_396 = all_262_1_385
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_2_2, all_260_2_381, all_262_1_385 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_262_1_385, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_260_2_381, yields:
% 44.42/15.61 | (1251) all_262_1_385 = all_260_2_381
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_2_2, all_216_5_273, all_487_3_612 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_487_3_612, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_216_5_273, yields:
% 44.42/15.61 | (1252) all_487_3_612 = all_216_5_273
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_2_2, all_212_2_259, all_260_2_381 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_260_2_381, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_212_2_259, yields:
% 44.42/15.61 | (1253) all_260_2_381 = all_212_2_259
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_2_2, all_212_2_259, all_216_5_273 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_216_5_273, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_212_2_259, yields:
% 44.42/15.61 | (1254) all_216_5_273 = all_212_2_259
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_2_2, all_194_1_216, all_212_2_259 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_212_2_259, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_194_1_216, yields:
% 44.42/15.61 | (1255) all_212_2_259 = all_194_1_216
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_2_2, all_192_1_211, all_340_3_510 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_340_3_510, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_192_1_211, yields:
% 44.42/15.61 | (1256) all_340_3_510 = all_192_1_211
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (155) with all_1_2_2, all_1_2_2, all_190_0_208, all_194_1_216 and discharging atoms unequally_directed_lines(all_1_2_2, all_1_2_2) = all_194_1_216, unequally_directed_lines(all_1_2_2, all_1_2_2) = all_190_0_208, yields:
% 44.42/15.61 | (1257) all_194_1_216 = all_190_0_208
% 44.42/15.61 |
% 44.42/15.61 | Using (589) and (184) yields:
% 44.42/15.61 | (1258) ~ (all_190_0_208 = 0)
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_564_5_674, all_575_5_681 and discharging atoms reverse_line(all_1_2_2) = all_575_5_681, reverse_line(all_1_2_2) = all_564_5_674, yields:
% 44.42/15.61 | (1259) all_575_5_681 = all_564_5_674
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_536_4_652, all_564_5_674 and discharging atoms reverse_line(all_1_2_2) = all_564_5_674, reverse_line(all_1_2_2) = all_536_4_652, yields:
% 44.42/15.61 | (1260) all_564_5_674 = all_536_4_652
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_531_3_647, all_536_4_652 and discharging atoms reverse_line(all_1_2_2) = all_536_4_652, reverse_line(all_1_2_2) = all_531_3_647, yields:
% 44.42/15.61 | (1261) all_536_4_652 = all_531_3_647
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_526_2_643, all_550_1_660 and discharging atoms reverse_line(all_1_2_2) = all_550_1_660, reverse_line(all_1_2_2) = all_526_2_643, yields:
% 44.42/15.61 | (1262) all_550_1_660 = all_526_2_643
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_487_2_611, all_520_5_640 and discharging atoms reverse_line(all_1_2_2) = all_520_5_640, reverse_line(all_1_2_2) = all_487_2_611, yields:
% 44.42/15.61 | (1263) all_520_5_640 = all_487_2_611
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_411_3_562, all_487_2_611 and discharging atoms reverse_line(all_1_2_2) = all_487_2_611, reverse_line(all_1_2_2) = all_411_3_562, yields:
% 44.42/15.61 | (1264) all_487_2_611 = all_411_3_562
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_392_3_546, all_411_3_562 and discharging atoms reverse_line(all_1_2_2) = all_411_3_562, reverse_line(all_1_2_2) = all_392_3_546, yields:
% 44.42/15.61 | (1265) all_411_3_562 = all_392_3_546
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_340_2_509, all_1_1_1 and discharging atoms reverse_line(all_1_2_2) = all_340_2_509, reverse_line(all_1_2_2) = all_1_1_1, yields:
% 44.42/15.61 | (1266) all_340_2_509 = all_1_1_1
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_315_2_483, all_340_2_509 and discharging atoms reverse_line(all_1_2_2) = all_340_2_509, reverse_line(all_1_2_2) = all_315_2_483, yields:
% 44.42/15.61 | (1267) all_340_2_509 = all_315_2_483
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_288_5_457, all_340_2_509 and discharging atoms reverse_line(all_1_2_2) = all_340_2_509, reverse_line(all_1_2_2) = all_288_5_457, yields:
% 44.42/15.61 | (1268) all_340_2_509 = all_288_5_457
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_254_3_366, all_526_2_643 and discharging atoms reverse_line(all_1_2_2) = all_526_2_643, reverse_line(all_1_2_2) = all_254_3_366, yields:
% 44.42/15.61 | (1269) all_526_2_643 = all_254_3_366
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_254_3_366, all_392_3_546 and discharging atoms reverse_line(all_1_2_2) = all_392_3_546, reverse_line(all_1_2_2) = all_254_3_366, yields:
% 44.42/15.61 | (1270) all_392_3_546 = all_254_3_366
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_254_3_366, all_288_5_457 and discharging atoms reverse_line(all_1_2_2) = all_288_5_457, reverse_line(all_1_2_2) = all_254_3_366, yields:
% 44.42/15.61 | (1271) all_288_5_457 = all_254_3_366
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_248_5_357, all_575_5_681 and discharging atoms reverse_line(all_1_2_2) = all_575_5_681, reverse_line(all_1_2_2) = all_248_5_357, yields:
% 44.42/15.61 | (1272) all_575_5_681 = all_248_5_357
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_232_3_315, all_550_1_660 and discharging atoms reverse_line(all_1_2_2) = all_550_1_660, reverse_line(all_1_2_2) = all_232_3_315, yields:
% 44.42/15.61 | (1273) all_550_1_660 = all_232_3_315
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_230_4_310, all_520_5_640 and discharging atoms reverse_line(all_1_2_2) = all_520_5_640, reverse_line(all_1_2_2) = all_230_4_310, yields:
% 44.42/15.61 | (1274) all_520_5_640 = all_230_4_310
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_228_5_305, all_531_3_647 and discharging atoms reverse_line(all_1_2_2) = all_531_3_647, reverse_line(all_1_2_2) = all_228_5_305, yields:
% 44.42/15.61 | (1275) all_531_3_647 = all_228_5_305
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_228_5_305, all_254_3_366 and discharging atoms reverse_line(all_1_2_2) = all_254_3_366, reverse_line(all_1_2_2) = all_228_5_305, yields:
% 44.42/15.61 | (1276) all_254_3_366 = all_228_5_305
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_220_3_282, all_531_3_647 and discharging atoms reverse_line(all_1_2_2) = all_531_3_647, reverse_line(all_1_2_2) = all_220_3_282, yields:
% 44.42/15.61 | (1277) all_531_3_647 = all_220_3_282
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_216_4_272, all_531_3_647 and discharging atoms reverse_line(all_1_2_2) = all_531_3_647, reverse_line(all_1_2_2) = all_216_4_272, yields:
% 44.42/15.61 | (1278) all_531_3_647 = all_216_4_272
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_216_4_272, all_258_3_376 and discharging atoms reverse_line(all_1_2_2) = all_258_3_376, reverse_line(all_1_2_2) = all_216_4_272, yields:
% 44.42/15.61 | (1279) all_258_3_376 = all_216_4_272
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_200_4_236, all_258_3_376 and discharging atoms reverse_line(all_1_2_2) = all_258_3_376, reverse_line(all_1_2_2) = all_200_4_236, yields:
% 44.42/15.61 | (1280) all_258_3_376 = all_200_4_236
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_188_5_207, all_258_3_376 and discharging atoms reverse_line(all_1_2_2) = all_258_3_376, reverse_line(all_1_2_2) = all_188_5_207, yields:
% 44.42/15.61 | (1281) all_258_3_376 = all_188_5_207
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_178_2_178, all_188_5_207 and discharging atoms reverse_line(all_1_2_2) = all_188_5_207, reverse_line(all_1_2_2) = all_178_2_178, yields:
% 44.42/15.61 | (1282) all_188_5_207 = all_178_2_178
% 44.42/15.61 |
% 44.42/15.61 | Instantiating formula (134) with all_1_2_2, all_168_3_152, all_178_2_178 and discharging atoms reverse_line(all_1_2_2) = all_178_2_178, reverse_line(all_1_2_2) = all_168_3_152, yields:
% 44.42/15.61 | (1283) all_178_2_178 = all_168_3_152
% 44.42/15.61 |
% 44.42/15.61 | Combining equations (1259,1272) yields a new equation:
% 44.42/15.61 | (1284) all_564_5_674 = all_248_5_357
% 44.42/15.61 |
% 44.42/15.61 | Simplifying 1284 yields:
% 44.42/15.62 | (1285) all_564_5_674 = all_248_5_357
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1213,1214) yields a new equation:
% 44.42/15.62 | (1286) all_340_4_511 = all_330_3_502
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1286 yields:
% 44.42/15.62 | (1287) all_340_4_511 = all_330_3_502
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1260,1285) yields a new equation:
% 44.42/15.62 | (1288) all_536_4_652 = all_248_5_357
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1288 yields:
% 44.42/15.62 | (1289) all_536_4_652 = all_248_5_357
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1262,1273) yields a new equation:
% 44.42/15.62 | (1290) all_526_2_643 = all_232_3_315
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1290 yields:
% 44.42/15.62 | (1291) all_526_2_643 = all_232_3_315
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1261,1289) yields a new equation:
% 44.42/15.62 | (1292) all_531_3_647 = all_248_5_357
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1292 yields:
% 44.42/15.62 | (1293) all_531_3_647 = all_248_5_357
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1275,1293) yields a new equation:
% 44.42/15.62 | (1294) all_248_5_357 = all_228_5_305
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1278,1293) yields a new equation:
% 44.42/15.62 | (1295) all_248_5_357 = all_216_4_272
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1277,1293) yields a new equation:
% 44.42/15.62 | (1296) all_248_5_357 = all_220_3_282
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1269,1291) yields a new equation:
% 44.42/15.62 | (1297) all_254_3_366 = all_232_3_315
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1297 yields:
% 44.42/15.62 | (1298) all_254_3_366 = all_232_3_315
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1263,1274) yields a new equation:
% 44.42/15.62 | (1299) all_487_2_611 = all_230_4_310
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1299 yields:
% 44.42/15.62 | (1300) all_487_2_611 = all_230_4_310
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1264,1300) yields a new equation:
% 44.42/15.62 | (1301) all_411_3_562 = all_230_4_310
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1301 yields:
% 44.42/15.62 | (1302) all_411_3_562 = all_230_4_310
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1243,1244) yields a new equation:
% 44.42/15.62 | (1303) all_468_2_598 = all_463_2_595
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1303 yields:
% 44.42/15.62 | (1304) all_468_2_598 = all_463_2_595
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1252,1244) yields a new equation:
% 44.42/15.62 | (1305) all_463_2_595 = all_216_5_273
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1245,1244) yields a new equation:
% 44.42/15.62 | (1306) all_463_2_595 = all_458_3_592
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1304,1242) yields a new equation:
% 44.42/15.62 | (1307) all_463_2_595 = all_18_1_5
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1307 yields:
% 44.42/15.62 | (1308) all_463_2_595 = all_18_1_5
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1308,1306) yields a new equation:
% 44.42/15.62 | (1309) all_458_3_592 = all_18_1_5
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1305,1306) yields a new equation:
% 44.42/15.62 | (1310) all_458_3_592 = all_216_5_273
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1310,1309) yields a new equation:
% 44.42/15.62 | (1311) all_216_5_273 = all_18_1_5
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1311 yields:
% 44.42/15.62 | (1312) all_216_5_273 = all_18_1_5
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1183,1190) yields a new equation:
% 44.42/15.62 | (1313) all_292_3_467 = all_266_4_399
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1313 yields:
% 44.42/15.62 | (1314) all_292_3_467 = all_266_4_399
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1265,1302) yields a new equation:
% 44.42/15.62 | (1315) all_392_3_546 = all_230_4_310
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1315 yields:
% 44.42/15.62 | (1316) all_392_3_546 = all_230_4_310
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1182,1196) yields a new equation:
% 44.42/15.62 | (1317) all_305_3_472 = all_248_1_353
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1317 yields:
% 44.42/15.62 | (1318) all_305_3_472 = all_248_1_353
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1270,1316) yields a new equation:
% 44.42/15.62 | (1319) all_254_3_366 = all_230_4_310
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1319 yields:
% 44.42/15.62 | (1320) all_254_3_366 = all_230_4_310
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1211,1238) yields a new equation:
% 44.42/15.62 | (1321) all_374_3_539 = all_180_4_186
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1321 yields:
% 44.42/15.62 | (1322) all_374_3_539 = all_180_4_186
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1212,1322) yields a new equation:
% 44.42/15.62 | (1323) all_369_2_533 = all_180_4_186
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1323 yields:
% 44.42/15.62 | (1324) all_369_2_533 = all_180_4_186
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1216,1324) yields a new equation:
% 44.42/15.62 | (1325) all_325_3_496 = all_180_4_186
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1325 yields:
% 44.42/15.62 | (1326) all_325_3_496 = all_180_4_186
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1266,1267) yields a new equation:
% 44.42/15.62 | (1327) all_315_2_483 = all_1_1_1
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1268,1267) yields a new equation:
% 44.42/15.62 | (1328) all_315_2_483 = all_288_5_457
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1246,1256) yields a new equation:
% 44.42/15.62 | (1329) all_315_3_484 = all_192_1_211
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1329 yields:
% 44.42/15.62 | (1330) all_315_3_484 = all_192_1_211
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1221,1287) yields a new equation:
% 44.42/15.62 | (1331) all_330_3_502 = all_278_4_430
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1226,1287) yields a new equation:
% 44.42/15.62 | (1332) all_330_3_502 = all_226_1_296
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1331,1332) yields a new equation:
% 44.42/15.62 | (1333) all_278_4_430 = all_226_1_296
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1333 yields:
% 44.42/15.62 | (1334) all_278_4_430 = all_226_1_296
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1215,1239) yields a new equation:
% 44.42/15.62 | (1335) all_178_5_181 = 0
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1224,1239) yields a new equation:
% 44.42/15.62 | (1336) all_256_2_370 = all_178_5_181
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1336 yields:
% 44.42/15.62 | (1337) all_256_2_370 = all_178_5_181
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1241,1239) yields a new equation:
% 44.42/15.62 | (1338) all_178_5_181 = all_152_1_114
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1217,1326) yields a new equation:
% 44.42/15.62 | (1339) all_310_2_477 = all_180_4_186
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1339 yields:
% 44.42/15.62 | (1340) all_310_2_477 = all_180_4_186
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1328,1327) yields a new equation:
% 44.42/15.62 | (1341) all_288_5_457 = all_1_1_1
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1341 yields:
% 44.42/15.62 | (1342) all_288_5_457 = all_1_1_1
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1247,1330) yields a new equation:
% 44.42/15.62 | (1343) all_310_3_478 = all_192_1_211
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1343 yields:
% 44.42/15.62 | (1344) all_310_3_478 = all_192_1_211
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1218,1340) yields a new equation:
% 44.42/15.62 | (1345) all_292_2_466 = all_180_4_186
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1345 yields:
% 44.42/15.62 | (1346) all_292_2_466 = all_180_4_186
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1248,1344) yields a new equation:
% 44.42/15.62 | (1347) all_278_5_431 = all_192_1_211
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1347 yields:
% 44.42/15.62 | (1348) all_278_5_431 = all_192_1_211
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1198,1191) yields a new equation:
% 44.42/15.62 | (1349) all_262_4_388 = all_224_5_294
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1186,1191) yields a new equation:
% 44.42/15.62 | (1350) all_270_1_404 = all_262_4_388
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1350 yields:
% 44.42/15.62 | (1351) all_270_1_404 = all_262_4_388
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1201,1191) yields a new equation:
% 44.42/15.62 | (1352) all_262_4_388 = all_214_5_267
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1318,1191) yields a new equation:
% 44.42/15.62 | (1353) all_262_4_388 = all_248_1_353
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1219,1346) yields a new equation:
% 44.42/15.62 | (1354) all_292_4_468 = all_180_4_186
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1354 yields:
% 44.42/15.62 | (1355) all_292_4_468 = all_180_4_186
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1184,1314) yields a new equation:
% 44.42/15.62 | (1356) all_276_1_421 = all_266_4_399
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1356 yields:
% 44.42/15.62 | (1357) all_276_1_421 = all_266_4_399
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1220,1355) yields a new equation:
% 44.42/15.62 | (1358) all_282_0_438 = all_180_4_186
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1358 yields:
% 44.42/15.62 | (1359) all_282_0_438 = all_180_4_186
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1271,1342) yields a new equation:
% 44.42/15.62 | (1360) all_254_3_366 = all_1_1_1
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1360 yields:
% 44.42/15.62 | (1361) all_254_3_366 = all_1_1_1
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1222,1359) yields a new equation:
% 44.42/15.62 | (1362) all_264_5_394 = all_180_4_186
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1362 yields:
% 44.42/15.62 | (1363) all_264_5_394 = all_180_4_186
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1193,1197) yields a new equation:
% 44.42/15.62 | (1364) all_258_5_378 = all_226_4_299
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1364 yields:
% 44.42/15.62 | (1365) all_258_5_378 = all_226_4_299
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1228,1240) yields a new equation:
% 44.42/15.62 | (1366) all_218_1_275 = all_168_5_154
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1366 yields:
% 44.42/15.62 | (1367) all_218_1_275 = all_168_5_154
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1188,1200) yields a new equation:
% 44.42/15.62 | (1368) all_270_4_407 = all_222_4_288
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1368 yields:
% 44.42/15.62 | (1369) all_270_4_407 = all_222_4_288
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1225,1334) yields a new equation:
% 44.42/15.62 | (1370) all_256_2_370 = all_226_1_296
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1370 yields:
% 44.42/15.62 | (1371) all_256_2_370 = all_226_1_296
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1231,1334) yields a new equation:
% 44.42/15.62 | (1372) all_226_1_296 = all_198_5_231
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1234,1334) yields a new equation:
% 44.42/15.62 | (1373) all_226_1_296 = all_192_4_214
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1249,1348) yields a new equation:
% 44.42/15.62 | (1374) all_266_1_396 = all_192_1_211
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1374 yields:
% 44.42/15.62 | (1375) all_266_1_396 = all_192_1_211
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1185,1357) yields a new equation:
% 44.42/15.62 | (1376) all_272_5_413 = all_266_4_399
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1376 yields:
% 44.42/15.62 | (1377) all_272_5_413 = all_266_4_399
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1187,1377) yields a new equation:
% 44.42/15.62 | (1378) all_270_1_404 = all_266_4_399
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1378 yields:
% 44.42/15.62 | (1379) all_270_1_404 = all_266_4_399
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1189,1379) yields a new equation:
% 44.42/15.62 | (1380) all_270_4_407 = all_266_4_399
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1380 yields:
% 44.42/15.62 | (1381) all_270_4_407 = all_266_4_399
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1351,1379) yields a new equation:
% 44.42/15.62 | (1382) all_266_4_399 = all_262_4_388
% 44.42/15.62 |
% 44.42/15.62 | Combining equations (1381,1369) yields a new equation:
% 44.42/15.62 | (1383) all_266_4_399 = all_222_4_288
% 44.42/15.62 |
% 44.42/15.62 | Simplifying 1383 yields:
% 44.42/15.62 | (1384) all_266_4_399 = all_222_4_288
% 44.42/15.62 |
% 44.42/15.63 | Combining equations (1250,1375) yields a new equation:
% 44.42/15.63 | (1385) all_262_1_385 = all_192_1_211
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1385 yields:
% 44.42/15.63 | (1386) all_262_1_385 = all_192_1_211
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1382,1384) yields a new equation:
% 44.42/15.63 | (1387) all_262_4_388 = all_222_4_288
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1387 yields:
% 44.42/15.63 | (1388) all_262_4_388 = all_222_4_288
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1192,1195) yields a new equation:
% 44.42/15.63 | (1389) all_260_3_382 = all_256_4_372
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1389 yields:
% 44.42/15.63 | (1390) all_260_3_382 = all_256_4_372
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1223,1363) yields a new equation:
% 44.42/15.63 | (1391) all_260_4_383 = all_180_4_186
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1391 yields:
% 44.42/15.63 | (1392) all_260_4_383 = all_180_4_186
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1251,1386) yields a new equation:
% 44.42/15.63 | (1393) all_260_2_381 = all_192_1_211
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1393 yields:
% 44.42/15.63 | (1394) all_260_2_381 = all_192_1_211
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1352,1353) yields a new equation:
% 44.42/15.63 | (1395) all_248_1_353 = all_214_5_267
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1349,1353) yields a new equation:
% 44.42/15.63 | (1396) all_248_1_353 = all_224_5_294
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1388,1353) yields a new equation:
% 44.42/15.63 | (1397) all_248_1_353 = all_222_4_288
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1253,1394) yields a new equation:
% 44.42/15.63 | (1398) all_212_2_259 = all_192_1_211
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1398 yields:
% 44.42/15.63 | (1399) all_212_2_259 = all_192_1_211
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1194,1390) yields a new equation:
% 44.42/15.63 | (1400) all_258_5_378 = all_256_4_372
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1400 yields:
% 44.42/15.63 | (1401) all_258_5_378 = all_256_4_372
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1230,1392) yields a new equation:
% 44.42/15.63 | (1402) all_218_4_278 = all_180_4_186
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1402 yields:
% 44.42/15.63 | (1403) all_218_4_278 = all_180_4_186
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1279,1280) yields a new equation:
% 44.42/15.63 | (1404) all_216_4_272 = all_200_4_236
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1404 yields:
% 44.42/15.63 | (1405) all_216_4_272 = all_200_4_236
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1281,1280) yields a new equation:
% 44.42/15.63 | (1406) all_200_4_236 = all_188_5_207
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1199,1401) yields a new equation:
% 44.42/15.63 | (1407) all_256_4_372 = all_224_5_294
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1205,1401) yields a new equation:
% 44.42/15.63 | (1408) all_256_4_372 = all_188_1_203
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1365,1401) yields a new equation:
% 44.42/15.63 | (1409) all_256_4_372 = all_226_4_299
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1337,1235) yields a new equation:
% 44.42/15.63 | (1410) all_182_1_188 = all_178_5_181
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1371,1235) yields a new equation:
% 44.42/15.63 | (1411) all_226_1_296 = all_182_1_188
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1411 yields:
% 44.42/15.63 | (1412) all_226_1_296 = all_182_1_188
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1236,1235) yields a new equation:
% 44.42/15.63 | (1413) all_182_1_188 = all_180_1_183
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1408,1409) yields a new equation:
% 44.42/15.63 | (1414) all_226_4_299 = all_188_1_203
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1407,1409) yields a new equation:
% 44.42/15.63 | (1415) all_226_4_299 = all_224_5_294
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1361,1298) yields a new equation:
% 44.42/15.63 | (1416) all_232_3_315 = all_1_1_1
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1320,1298) yields a new equation:
% 44.42/15.63 | (1417) all_232_3_315 = all_230_4_310
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1276,1298) yields a new equation:
% 44.42/15.63 | (1418) all_232_3_315 = all_228_5_305
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1395,1397) yields a new equation:
% 44.42/15.63 | (1419) all_222_4_288 = all_214_5_267
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1396,1397) yields a new equation:
% 44.42/15.63 | (1420) all_224_5_294 = all_222_4_288
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1420 yields:
% 44.42/15.63 | (1421) all_224_5_294 = all_222_4_288
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1295,1296) yields a new equation:
% 44.42/15.63 | (1422) all_220_3_282 = all_216_4_272
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1294,1296) yields a new equation:
% 44.42/15.63 | (1423) all_228_5_305 = all_220_3_282
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1423 yields:
% 44.42/15.63 | (1424) all_228_5_305 = all_220_3_282
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1416,1417) yields a new equation:
% 44.42/15.63 | (1425) all_230_4_310 = all_1_1_1
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1418,1417) yields a new equation:
% 44.42/15.63 | (1426) all_230_4_310 = all_228_5_305
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1426,1425) yields a new equation:
% 44.42/15.63 | (1427) all_228_5_305 = all_1_1_1
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1427 yields:
% 44.42/15.63 | (1428) all_228_5_305 = all_1_1_1
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1424,1428) yields a new equation:
% 44.42/15.63 | (1429) all_220_3_282 = all_1_1_1
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1429 yields:
% 44.42/15.63 | (1430) all_220_3_282 = all_1_1_1
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1372,1373) yields a new equation:
% 44.42/15.63 | (1431) all_198_5_231 = all_192_4_214
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1431 yields:
% 44.42/15.63 | (1432) all_198_5_231 = all_192_4_214
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1412,1373) yields a new equation:
% 44.42/15.63 | (1433) all_192_4_214 = all_182_1_188
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1415,1414) yields a new equation:
% 44.42/15.63 | (1434) all_224_5_294 = all_188_1_203
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1434 yields:
% 44.42/15.63 | (1435) all_224_5_294 = all_188_1_203
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1421,1435) yields a new equation:
% 44.42/15.63 | (1436) all_222_4_288 = all_188_1_203
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1436 yields:
% 44.42/15.63 | (1437) all_222_4_288 = all_188_1_203
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1227,1233) yields a new equation:
% 44.42/15.63 | (1438) all_220_0_279 = all_194_4_219
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1438 yields:
% 44.42/15.63 | (1439) all_220_0_279 = all_194_4_219
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1419,1437) yields a new equation:
% 44.42/15.63 | (1440) all_214_5_267 = all_188_1_203
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1440 yields:
% 44.42/15.63 | (1441) all_214_5_267 = all_188_1_203
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1229,1439) yields a new equation:
% 44.42/15.63 | (1442) all_218_1_275 = all_194_4_219
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1442 yields:
% 44.42/15.63 | (1443) all_218_1_275 = all_194_4_219
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1237,1439) yields a new equation:
% 44.42/15.63 | (1444) all_194_4_219 = all_180_1_183
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1422,1430) yields a new equation:
% 44.42/15.63 | (1445) all_216_4_272 = all_1_1_1
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1445 yields:
% 44.42/15.63 | (1446) all_216_4_272 = all_1_1_1
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1443,1367) yields a new equation:
% 44.42/15.63 | (1447) all_194_4_219 = all_168_5_154
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1447 yields:
% 44.42/15.63 | (1448) all_194_4_219 = all_168_5_154
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1232,1403) yields a new equation:
% 44.42/15.63 | (1449) all_198_5_231 = all_180_4_186
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1449 yields:
% 44.42/15.63 | (1450) all_198_5_231 = all_180_4_186
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1405,1446) yields a new equation:
% 44.42/15.63 | (1451) all_200_4_236 = all_1_1_1
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1451 yields:
% 44.42/15.63 | (1452) all_200_4_236 = all_1_1_1
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1254,1312) yields a new equation:
% 44.42/15.63 | (1453) all_212_2_259 = all_18_1_5
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1453 yields:
% 44.42/15.63 | (1454) all_212_2_259 = all_18_1_5
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1202,1441) yields a new equation:
% 44.42/15.63 | (1455) all_212_4_261 = all_188_1_203
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1455 yields:
% 44.42/15.63 | (1456) all_212_4_261 = all_188_1_203
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1255,1399) yields a new equation:
% 44.42/15.63 | (1457) all_194_1_216 = all_192_1_211
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1457 yields:
% 44.42/15.63 | (1458) all_194_1_216 = all_192_1_211
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1454,1399) yields a new equation:
% 44.42/15.63 | (1459) all_192_1_211 = all_18_1_5
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1203,1456) yields a new equation:
% 44.42/15.63 | (1460) all_202_4_242 = all_188_1_203
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1460 yields:
% 44.42/15.63 | (1461) all_202_4_242 = all_188_1_203
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1204,1461) yields a new equation:
% 44.42/15.63 | (1462) all_196_5_225 = all_188_1_203
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1462 yields:
% 44.42/15.63 | (1463) all_196_5_225 = all_188_1_203
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1406,1452) yields a new equation:
% 44.42/15.63 | (1464) all_188_5_207 = all_1_1_1
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1464 yields:
% 44.42/15.63 | (1465) all_188_5_207 = all_1_1_1
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1432,1450) yields a new equation:
% 44.42/15.63 | (1466) all_192_4_214 = all_180_4_186
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1466 yields:
% 44.42/15.63 | (1467) all_192_4_214 = all_180_4_186
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1206,1463) yields a new equation:
% 44.42/15.63 | (1468) all_188_1_203 = all_184_1_193
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1207,1463) yields a new equation:
% 44.42/15.63 | (1469) all_188_1_203 = all_182_4_191
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1208,1463) yields a new equation:
% 44.42/15.63 | (1470) all_188_1_203 = all_168_4_153
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1458,1257) yields a new equation:
% 44.42/15.63 | (1471) all_192_1_211 = all_190_0_208
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1471 yields:
% 44.42/15.63 | (1472) all_192_1_211 = all_190_0_208
% 44.42/15.63 |
% 44.42/15.63 | Combining equations (1444,1448) yields a new equation:
% 44.42/15.63 | (1473) all_180_1_183 = all_168_5_154
% 44.42/15.63 |
% 44.42/15.63 | Simplifying 1473 yields:
% 44.42/15.63 | (1474) all_180_1_183 = all_168_5_154
% 44.42/15.63 |
% 44.42/15.64 | Combining equations (1472,1459) yields a new equation:
% 44.42/15.64 | (1475) all_190_0_208 = all_18_1_5
% 44.42/15.64 |
% 44.42/15.64 | Simplifying 1475 yields:
% 44.42/15.64 | (1476) all_190_0_208 = all_18_1_5
% 44.42/15.64 |
% 44.42/15.64 | Combining equations (1433,1467) yields a new equation:
% 44.42/15.64 | (1477) all_182_1_188 = all_180_4_186
% 44.42/15.64 |
% 44.42/15.64 | Simplifying 1477 yields:
% 44.42/15.64 | (1478) all_182_1_188 = all_180_4_186
% 44.42/15.64 |
% 44.42/15.64 | Combining equations (1469,1468) yields a new equation:
% 44.42/15.64 | (1479) all_184_1_193 = all_182_4_191
% 44.42/15.64 |
% 44.42/15.64 | Combining equations (1470,1468) yields a new equation:
% 44.42/15.64 | (1480) all_184_1_193 = all_168_4_153
% 44.42/15.64 |
% 44.42/15.64 | Combining equations (1282,1465) yields a new equation:
% 44.42/15.64 | (1481) all_178_2_178 = all_1_1_1
% 44.42/15.64 |
% 44.42/15.64 | Simplifying 1481 yields:
% 44.42/15.64 | (1482) all_178_2_178 = all_1_1_1
% 44.42/15.64 |
% 44.42/15.64 | Combining equations (1479,1480) yields a new equation:
% 44.42/15.64 | (1483) all_182_4_191 = all_168_4_153
% 44.42/15.64 |
% 44.42/15.64 | Simplifying 1483 yields:
% 44.42/15.64 | (1484) all_182_4_191 = all_168_4_153
% 44.42/15.64 |
% 44.42/15.64 | Combining equations (1413,1478) yields a new equation:
% 44.42/15.64 | (1485) all_180_1_183 = all_180_4_186
% 44.42/15.64 |
% 44.42/15.64 | Simplifying 1485 yields:
% 44.42/15.64 | (1486) all_180_1_183 = all_180_4_186
% 44.42/15.64 |
% 44.42/15.64 | Combining equations (1410,1478) yields a new equation:
% 44.42/15.64 | (1487) all_180_4_186 = all_178_5_181
% 44.42/15.64 |
% 44.42/15.64 | Combining equations (1209,1484) yields a new equation:
% 44.42/15.64 | (1488) all_168_4_153 = all_162_5_143
% 44.42/15.64 |
% 44.42/15.64 | Combining equations (1210,1484) yields a new equation:
% 44.42/15.64 | (1489) all_168_4_153 = 0
% 44.42/15.64 |
% 44.42/15.64 | Combining equations (1486,1474) yields a new equation:
% 44.42/15.64 | (1490) all_180_4_186 = all_168_5_154
% 44.42/15.64 |
% 44.42/15.64 | Simplifying 1490 yields:
% 44.42/15.64 | (1491) all_180_4_186 = all_168_5_154
% 44.42/15.64 |
% 44.42/15.64 | Combining equations (1487,1491) yields a new equation:
% 44.42/15.64 | (1492) all_178_5_181 = all_168_5_154
% 44.42/15.64 |
% 44.42/15.64 | Simplifying 1492 yields:
% 44.42/15.64 | (1493) all_178_5_181 = all_168_5_154
% 44.42/15.64 |
% 44.42/15.64 | Combining equations (1283,1482) yields a new equation:
% 44.42/15.64 | (1494) all_168_3_152 = all_1_1_1
% 44.42/15.64 |
% 44.42/15.64 | Simplifying 1494 yields:
% 44.42/15.64 | (1495) all_168_3_152 = all_1_1_1
% 44.42/15.64 |
% 44.42/15.64 | Combining equations (1335,1493) yields a new equation:
% 44.42/15.64 | (1496) all_168_5_154 = 0
% 44.42/15.64 |
% 44.42/15.64 | Combining equations (1338,1493) yields a new equation:
% 44.42/15.64 | (1497) all_168_5_154 = all_152_1_114
% 44.42/15.64 |
% 44.42/15.64 | Combining equations (1489,1488) yields a new equation:
% 44.42/15.64 | (1498) all_162_5_143 = 0
% 44.42/15.64 |
% 44.42/15.64 | Combining equations (1496,1497) yields a new equation:
% 44.42/15.64 | (1499) all_152_1_114 = 0
% 44.42/15.64 |
% 44.42/15.64 | Combining equations (1499,1497) yields a new equation:
% 44.42/15.64 | (1496) all_168_5_154 = 0
% 44.42/15.64 |
% 44.42/15.64 | Combining equations (1498,1488) yields a new equation:
% 44.42/15.64 | (1489) all_168_4_153 = 0
% 44.42/15.64 |
% 44.42/15.64 | Equations (1476) can reduce 1258 to:
% 44.42/15.64 | (352) ~ (all_18_1_5 = 0)
% 44.42/15.64 |
% 44.42/15.64 | From (1495) and (549) follows:
% 44.42/15.64 | (1503) unequally_directed_lines(all_1_1_1, all_1_1_1) = all_168_0_149
% 44.42/15.64 |
% 44.42/15.64 +-Applying beta-rule and splitting (545), into two cases.
% 44.42/15.64 |-Branch one:
% 44.42/15.64 | (1504) ~ (all_168_4_153 = 0)
% 44.42/15.64 |
% 44.42/15.64 | Equations (1489) can reduce 1504 to:
% 44.42/15.64 | (1145) $false
% 44.42/15.64 |
% 44.42/15.64 |-The branch is then unsatisfiable
% 44.42/15.64 |-Branch two:
% 44.42/15.64 | (1489) all_168_4_153 = 0
% 44.42/15.64 | (1507) ~ (all_168_5_154 = 0) | (all_168_0_149 = 0 & all_168_1_150 = 0) | (all_168_2_151 = 0 & all_18_1_5 = 0)
% 44.42/15.64 |
% 44.42/15.64 +-Applying beta-rule and splitting (1507), into two cases.
% 44.42/15.64 |-Branch one:
% 44.42/15.64 | (1508) ~ (all_168_5_154 = 0)
% 44.42/15.64 |
% 44.42/15.64 | Equations (1496) can reduce 1508 to:
% 44.42/15.64 | (1145) $false
% 44.42/15.64 |
% 44.42/15.64 |-The branch is then unsatisfiable
% 44.42/15.64 |-Branch two:
% 44.42/15.64 | (1496) all_168_5_154 = 0
% 44.42/15.64 | (1511) (all_168_0_149 = 0 & all_168_1_150 = 0) | (all_168_2_151 = 0 & all_18_1_5 = 0)
% 44.42/15.64 |
% 44.42/15.64 +-Applying beta-rule and splitting (1511), into two cases.
% 44.42/15.64 |-Branch one:
% 44.42/15.64 | (1512) all_168_0_149 = 0 & all_168_1_150 = 0
% 44.42/15.64 |
% 44.42/15.64 | Applying alpha-rule on (1512) yields:
% 44.42/15.64 | (1513) all_168_0_149 = 0
% 44.42/15.64 | (1514) all_168_1_150 = 0
% 44.42/15.64 |
% 44.42/15.64 | From (1513) and (1503) follows:
% 44.42/15.64 | (1515) unequally_directed_lines(all_1_1_1, all_1_1_1) = 0
% 44.42/15.64 |
% 44.42/15.64 | Using (1515) and (437) yields:
% 44.42/15.64 | (369) $false
% 44.42/15.64 |
% 44.42/15.64 |-The branch is then unsatisfiable
% 44.42/15.64 |-Branch two:
% 44.42/15.64 | (1517) all_168_2_151 = 0 & all_18_1_5 = 0
% 44.42/15.64 |
% 44.42/15.64 | Applying alpha-rule on (1517) yields:
% 44.42/15.64 | (1518) all_168_2_151 = 0
% 44.42/15.64 | (1144) all_18_1_5 = 0
% 44.42/15.64 |
% 44.42/15.64 | Equations (1144) can reduce 352 to:
% 44.42/15.64 | (1145) $false
% 44.42/15.64 |
% 44.42/15.64 |-The branch is then unsatisfiable
% 44.42/15.64 |-Branch two:
% 44.42/15.64 | (954) ~ (unequally_directed_lines(all_1_2_2, all_1_1_1) = 0)
% 44.42/15.64 | (1522) all_18_4_8 = 0
% 44.42/15.64 |
% 44.42/15.64 | Equations (1522) can reduce 441 to:
% 44.42/15.64 | (1145) $false
% 44.42/15.64 |
% 44.42/15.64 |-The branch is then unsatisfiable
% 44.42/15.64 |-Branch two:
% 44.42/15.64 | (1524) all_34_2_38 = 0
% 44.42/15.64 | (1525) all_34_0_36 = 0 | all_34_1_37 = 0
% 44.42/15.64 |
% 44.42/15.64 +-Applying beta-rule and splitting (1525), into two cases.
% 44.42/15.64 |-Branch one:
% 44.42/15.64 | (1526) all_34_0_36 = 0
% 44.42/15.64 |
% 44.42/15.64 | Equations (1526) can reduce 438 to:
% 44.42/15.64 | (1145) $false
% 44.42/15.64 |
% 44.42/15.64 |-The branch is then unsatisfiable
% 44.42/15.64 |-Branch two:
% 44.42/15.64 | (438) ~ (all_34_0_36 = 0)
% 44.42/15.64 | (1529) all_34_1_37 = 0
% 44.42/15.64 |
% 44.42/15.64 | Equations (1529) can reduce 439 to:
% 44.42/15.64 | (1145) $false
% 44.42/15.64 |
% 44.42/15.64 |-The branch is then unsatisfiable
% 44.42/15.64 % SZS output end Proof for theBenchmark
% 44.42/15.64
% 44.42/15.64 15051ms
%------------------------------------------------------------------------------