%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : GEO202+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n004.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 03:48:38 EDT 2022

% Result   : Theorem 6.16s 2.14s
% Output   : Proof 60.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO202+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jun 17 20:59:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.70/0.66          ____       _                          
% 0.70/0.66    ___  / __ \_____(_)___  ________  __________
% 0.70/0.66   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.70/0.66  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.70/0.66  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.70/0.66  
% 0.70/0.67  A Theorem Prover for First-Order Logic
% 0.70/0.67  (ePrincess v.1.0)
% 0.70/0.67  
% 0.70/0.67  (c) Philipp Rümmer, 2009-2015
% 0.70/0.67  (c) Peter Backeman, 2014-2015
% 0.70/0.67  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.70/0.67  Free software under GNU Lesser General Public License (LGPL).
% 0.70/0.67  Bug reports to peter@backeman.se
% 0.70/0.67  
% 0.70/0.67  For more information, visit http://user.uu.se/~petba168/breu/
% 0.70/0.67  
% 0.70/0.67  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.70/0.72  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.86/1.03  Prover 0: Preprocessing ...
% 2.15/1.16  Prover 0: Warning: ignoring some quantifiers
% 2.15/1.18  Prover 0: Constructing countermodel ...
% 3.61/1.57  Prover 0: gave up
% 3.61/1.57  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 3.61/1.60  Prover 1: Preprocessing ...
% 3.96/1.67  Prover 1: Constructing countermodel ...
% 4.22/1.70  Prover 1: gave up
% 4.22/1.70  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 4.22/1.72  Prover 2: Preprocessing ...
% 4.74/1.81  Prover 2: Warning: ignoring some quantifiers
% 4.86/1.82  Prover 2: Constructing countermodel ...
% 6.16/2.14  Prover 2: proved (437ms)
% 6.16/2.14  
% 6.16/2.14  No countermodel exists, formula is valid
% 6.16/2.14  % SZS status Theorem for theBenchmark
% 6.16/2.14  
% 6.16/2.14  Generating proof ... Warning: ignoring some quantifiers
% 59.04/32.16  found it (size 821)
% 59.04/32.16  
% 59.04/32.16  % SZS output start Proof for theBenchmark
% 59.04/32.16  Assumed formulas after preprocessing and simplification: 
% 59.04/32.16  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (intersection_point(v3, v4) = v5 & line_connecting(v0, v2) = v4 & line_connecting(v0, v1) = v3 & convergent_lines(v3, v4) = 0 & distinct_points(v5, v0) = 0 & distinct_points(v0, v2) = 0 & distinct_points(v0, v1) = 0 &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v11 = 0 | v10 = 0 |  ~ (apart_point_and_line(v7, v9) = v11) |  ~ (apart_point_and_line(v7, v8) = v10) |  ~ (distinct_points(v6, v7) = 0) |  ? [v12] : ((v12 = 0 & apart_point_and_line(v6, v9) = 0) | (v12 = 0 & apart_point_and_line(v6, v8) = 0) | ( ~ (v12 = 0) & distinct_lines(v8, v9) = v12))) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v11 = 0 | v10 = 0 |  ~ (apart_point_and_line(v7, v9) = v11) |  ~ (apart_point_and_line(v6, v9) = v10) |  ~ (distinct_lines(v8, v9) = 0) |  ? [v12] : ((v12 = 0 & apart_point_and_line(v7, v8) = 0) | (v12 = 0 & apart_point_and_line(v6, v8) = 0) | ( ~ (v12 = 0) & distinct_points(v6, v7) = v12))) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v11 = 0 | v10 = 0 |  ~ (apart_point_and_line(v7, v9) = v11) |  ~ (apart_point_and_line(v6, v8) = v10) |  ? [v12] : ((v12 = 0 & apart_point_and_line(v7, v8) = 0) | (v12 = 0 & apart_point_and_line(v6, v9) = 0) | ( ~ (v12 = 0) & distinct_lines(v8, v9) = v12) | ( ~ (v12 = 0) & distinct_points(v6, v7) = v12))) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v11 = 0 | v10 = 0 |  ~ (apart_point_and_line(v7, v8) = v11) |  ~ (apart_point_and_line(v6, v9) = v10) |  ? [v12] : ((v12 = 0 & apart_point_and_line(v7, v9) = 0) | (v12 = 0 & apart_point_and_line(v6, v8) = 0) | ( ~ (v12 = 0) & distinct_lines(v8, v9) = v12) | ( ~ (v12 = 0) & distinct_points(v6, v7) = v12))) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v11 = 0 | v10 = 0 |  ~ (apart_point_and_line(v7, v8) = v11) |  ~ (apart_point_and_line(v6, v8) = v10) |  ~ (distinct_lines(v8, v9) = 0) |  ? [v12] : ((v12 = 0 & apart_point_and_line(v7, v9) = 0) | (v12 = 0 & apart_point_and_line(v6, v9) = 0) | ( ~ (v12 = 0) & distinct_points(v6, v7) = v12))) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v11 = 0 | v10 = 0 |  ~ (apart_point_and_line(v6, v9) = v11) |  ~ (apart_point_and_line(v6, v8) = v10) |  ~ (distinct_points(v6, v7) = 0) |  ? [v12] : ((v12 = 0 & apart_point_and_line(v7, v9) = 0) | (v12 = 0 & apart_point_and_line(v7, v8) = 0) | ( ~ (v12 = 0) & distinct_lines(v8, v9) = v12))) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v10 = 0 | v9 = 0 |  ~ (apart_point_and_line(v8, v7) = v10) |  ~ (distinct_points(v6, v8) = v9) |  ? [v11] : ( ~ (v11 = 0) & apart_point_and_line(v6, v7) = v11)) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v10 = 0 | v9 = 0 |  ~ (apart_point_and_line(v6, v8) = v10) |  ~ (distinct_lines(v7, v8) = v9) |  ? [v11] : ( ~ (v11 = 0) & apart_point_and_line(v6, v7) = v11)) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v10 = 0 | v9 = 0 |  ~ (convergent_lines(v7, v8) = v10) |  ~ (convergent_lines(v6, v8) = v9) |  ? [v11] : ( ~ (v11 = 0) & convergent_lines(v6, v7) = v11)) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v10 = 0 | v9 = 0 |  ~ (convergent_lines(v6, v8) = v10) |  ~ (distinct_lines(v7, v8) = v9) |  ? [v11] : ( ~ (v11 = 0) & convergent_lines(v6, v7) = v11)) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v10 = 0 | v9 = 0 |  ~ (distinct_lines(v7, v8) = v10) |  ~ (distinct_lines(v6, v8) = v9) |  ? [v11] : ( ~ (v11 = 0) & distinct_lines(v6, v7) = v11)) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v10 = 0 | v9 = 0 |  ~ (distinct_points(v7, v8) = v10) |  ~ (distinct_points(v6, v8) = v9) |  ? [v11] : ( ~ (v11 = 0) & distinct_points(v6, v7) = v11)) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (apart_point_and_line(v8, v7) = v9) |  ~ (apart_point_and_line(v6, v7) = 0) | distinct_points(v6, v8) = 0) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (apart_point_and_line(v6, v8) = v9) |  ~ (apart_point_and_line(v6, v7) = 0) | distinct_lines(v7, v8) = 0) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (apart_point_and_line(v6, v7) = 0) |  ~ (distinct_lines(v7, v8) = v9) | apart_point_and_line(v6, v8) = 0) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (apart_point_and_line(v6, v7) = 0) |  ~ (distinct_points(v6, v8) = v9) | apart_point_and_line(v8, v7) = 0) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (convergent_lines(v7, v8) = v9) |  ~ (convergent_lines(v6, v7) = 0) | convergent_lines(v6, v8) = 0) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (convergent_lines(v6, v8) = v9) |  ~ (convergent_lines(v6, v7) = 0) | convergent_lines(v7, v8) = 0) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (convergent_lines(v6, v8) = v9) |  ~ (convergent_lines(v6, v7) = 0) | distinct_lines(v7, v8) = 0) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (convergent_lines(v6, v7) = 0) |  ~ (distinct_lines(v7, v8) = v9) | convergent_lines(v6, v8) = 0) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (distinct_lines(v7, v8) = v9) |  ~ (distinct_lines(v6, v7) = 0) | distinct_lines(v6, v8) = 0) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (distinct_lines(v6, v8) = v9) |  ~ (distinct_lines(v6, v7) = 0) | distinct_lines(v7, v8) = 0) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (distinct_points(v7, v8) = v9) |  ~ (distinct_points(v6, v7) = 0) | distinct_points(v6, v8) = 0) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (distinct_points(v6, v8) = v9) |  ~ (distinct_points(v6, v7) = 0) | distinct_points(v7, v8) = 0) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v7 = v6 |  ~ (intersection_point(v9, v8) = v7) |  ~ (intersection_point(v9, v8) = v6)) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v7 = v6 |  ~ (line_connecting(v9, v8) = v7) |  ~ (line_connecting(v9, v8) = v6)) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v7 = v6 |  ~ (apart_point_and_line(v9, v8) = v7) |  ~ (apart_point_and_line(v9, v8) = v6)) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v7 = v6 |  ~ (convergent_lines(v9, v8) = v7) |  ~ (convergent_lines(v9, v8) = v6)) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v7 = v6 |  ~ (distinct_lines(v9, v8) = v7) |  ~ (distinct_lines(v9, v8) = v6)) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v7 = v6 |  ~ (distinct_points(v9, v8) = v7) |  ~ (distinct_points(v9, v8) = v6)) &  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (distinct_lines(v8, v9) = 0) |  ~ (distinct_points(v6, v7) = 0) |  ? [v10] : ((v10 = 0 & apart_point_and_line(v7, v9) = 0) | (v10 = 0 & apart_point_and_line(v7, v8) = 0) | (v10 = 0 & apart_point_and_line(v6, v9) = 0) | (v10 = 0 & apart_point_and_line(v6, v8) = 0))) &  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (intersection_point(v6, v7) = v8) |  ? [v9] : (( ~ (v9 = 0) & apart_point_and_line(v8, v7) = v9) | ( ~ (v9 = 0) & convergent_lines(v6, v7) = v9))) &  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (intersection_point(v6, v7) = v8) |  ? [v9] : (( ~ (v9 = 0) & apart_point_and_line(v8, v6) = v9) | ( ~ (v9 = 0) & convergent_lines(v6, v7) = v9))) &  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (line_connecting(v6, v7) = v8) |  ? [v9] : (( ~ (v9 = 0) & apart_point_and_line(v7, v8) = v9) | ( ~ (v9 = 0) & distinct_points(v6, v7) = v9))) &  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (line_connecting(v6, v7) = v8) |  ? [v9] : (( ~ (v9 = 0) & apart_point_and_line(v6, v8) = v9) | ( ~ (v9 = 0) & distinct_points(v6, v7) = v9))) &  ! [v6] :  ! [v7] : ( ~ (convergent_lines(v6, v7) = 0) |  ? [v8] :  ? [v9] : ( ~ (v9 = 0) & intersection_point(v6, v7) = v8 & apart_point_and_line(v8, v7) = v9)) &  ! [v6] :  ! [v7] : ( ~ (convergent_lines(v6, v7) = 0) |  ? [v8] :  ? [v9] : ( ~ (v9 = 0) & intersection_point(v6, v7) = v8 & apart_point_and_line(v8, v6) = v9)) &  ! [v6] :  ! [v7] : ( ~ (distinct_points(v6, v7) = 0) |  ? [v8] :  ? [v9] : ( ~ (v9 = 0) & line_connecting(v6, v7) = v8 & apart_point_and_line(v7, v8) = v9)) &  ! [v6] :  ! [v7] : ( ~ (distinct_points(v6, v7) = 0) |  ? [v8] :  ? [v9] : ( ~ (v9 = 0) & line_connecting(v6, v7) = v8 & apart_point_and_line(v6, v8) = v9)) &  ! [v6] :  ~ (convergent_lines(v6, v6) = 0) &  ! [v6] :  ~ (distinct_lines(v6, v6) = 0) &  ! [v6] :  ~ (distinct_points(v6, v6) = 0) &  ? [v6] :  ? [v7] :  ? [v8] : intersection_point(v7, v6) = v8 &  ? [v6] :  ? [v7] :  ? [v8] : line_connecting(v7, v6) = v8 &  ? [v6] :  ? [v7] :  ? [v8] : apart_point_and_line(v7, v6) = v8 &  ? [v6] :  ? [v7] :  ? [v8] : convergent_lines(v7, v6) = v8 &  ? [v6] :  ? [v7] :  ? [v8] : distinct_lines(v7, v6) = v8 &  ? [v6] :  ? [v7] :  ? [v8] : distinct_points(v7, v6) = v8)
% 59.42/32.21  | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5 yields:
% 59.42/32.21  | (1) intersection_point(all_0_2_2, all_0_1_1) = all_0_0_0 & line_connecting(all_0_5_5, all_0_3_3) = all_0_1_1 & line_connecting(all_0_5_5, all_0_4_4) = all_0_2_2 & convergent_lines(all_0_2_2, all_0_1_1) = 0 & distinct_points(all_0_0_0, all_0_5_5) = 0 & distinct_points(all_0_5_5, all_0_3_3) = 0 & distinct_points(all_0_5_5, all_0_4_4) = 0 &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) = v5) |  ~ (apart_point_and_line(v1, v2) = v4) |  ~ (distinct_points(v0, v1) = 0) |  ? [v6] : ((v6 = 0 & apart_point_and_line(v0, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v2) = 0) | ( ~ (v6 = 0) & distinct_lines(v2, v3) = v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) = v5) |  ~ (apart_point_and_line(v0, v3) = v4) |  ~ (distinct_lines(v2, v3) = 0) |  ? [v6] : ((v6 = 0 & apart_point_and_line(v1, v2) = 0) | (v6 = 0 & apart_point_and_line(v0, v2) = 0) | ( ~ (v6 = 0) & distinct_points(v0, v1) = v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) = v5) |  ~ (apart_point_and_line(v0, v2) = v4) |  ? [v6] : ((v6 = 0 & apart_point_and_line(v1, v2) = 0) | (v6 = 0 & apart_point_and_line(v0, v3) = 0) | ( ~ (v6 = 0) & distinct_lines(v2, v3) = v6) | ( ~ (v6 = 0) & distinct_points(v0, v1) = v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v2) = v5) |  ~ (apart_point_and_line(v0, v3) = v4) |  ? [v6] : ((v6 = 0 & apart_point_and_line(v1, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v2) = 0) | ( ~ (v6 = 0) & distinct_lines(v2, v3) = v6) | ( ~ (v6 = 0) & distinct_points(v0, v1) = v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v2) = v5) |  ~ (apart_point_and_line(v0, v2) = v4) |  ~ (distinct_lines(v2, v3) = 0) |  ? [v6] : ((v6 = 0 & apart_point_and_line(v1, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v3) = 0) | ( ~ (v6 = 0) & distinct_points(v0, v1) = v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v0, v3) = v5) |  ~ (apart_point_and_line(v0, v2) = v4) |  ~ (distinct_points(v0, v1) = 0) |  ? [v6] : ((v6 = 0 & apart_point_and_line(v1, v3) = 0) | (v6 = 0 & apart_point_and_line(v1, v2) = 0) | ( ~ (v6 = 0) & distinct_lines(v2, v3) = v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 | v3 = 0 |  ~ (apart_point_and_line(v2, v1) = v4) |  ~ (distinct_points(v0, v2) = v3) |  ? [v5] : ( ~ (v5 = 0) & apart_point_and_line(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 | v3 = 0 |  ~ (apart_point_and_line(v0, v2) = v4) |  ~ (distinct_lines(v1, v2) = v3) |  ? [v5] : ( ~ (v5 = 0) & apart_point_and_line(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 | v3 = 0 |  ~ (convergent_lines(v1, v2) = v4) |  ~ (convergent_lines(v0, v2) = v3) |  ? [v5] : ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 | v3 = 0 |  ~ (convergent_lines(v0, v2) = v4) |  ~ (distinct_lines(v1, v2) = v3) |  ? [v5] : ( ~ (v5 = 0) & 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] : (v3 = 0 |  ~ (apart_point_and_line(v2, v1) = v3) |  ~ (apart_point_and_line(v0, v1) = 0) | distinct_points(v0, v2) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (apart_point_and_line(v0, v2) = v3) |  ~ (apart_point_and_line(v0, v1) = 0) | distinct_lines(v1, v2) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (apart_point_and_line(v0, v1) = 0) |  ~ (distinct_lines(v1, v2) = v3) | apart_point_and_line(v0, v2) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (apart_point_and_line(v0, v1) = 0) |  ~ (distinct_points(v0, v2) = v3) | apart_point_and_line(v2, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (convergent_lines(v1, v2) = v3) |  ~ (convergent_lines(v0, v1) = 0) | convergent_lines(v0, v2) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (convergent_lines(v0, v2) = v3) |  ~ (convergent_lines(v0, v1) = 0) | convergent_lines(v1, v2) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (convergent_lines(v0, v2) = v3) |  ~ (convergent_lines(v0, v1) = 0) | distinct_lines(v1, v2) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (convergent_lines(v0, v1) = 0) |  ~ (distinct_lines(v1, v2) = v3) | 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(v0, v2) = v3) |  ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v1, v2) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (distinct_points(v1, v2) = v3) |  ~ (distinct_points(v0, v1) = 0) | distinct_points(v0, v2) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (distinct_points(v0, v2) = v3) |  ~ (distinct_points(v0, v1) = 0) | distinct_points(v1, v2) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (intersection_point(v3, v2) = v1) |  ~ (intersection_point(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 |  ~ (apart_point_and_line(v3, v2) = v1) |  ~ (apart_point_and_line(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 |  ~ (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] : ( ~ (distinct_lines(v2, v3) = 0) |  ~ (distinct_points(v0, v1) = 0) |  ? [v4] : ((v4 = 0 & apart_point_and_line(v1, v3) = 0) | (v4 = 0 & apart_point_and_line(v1, v2) = 0) | (v4 = 0 & apart_point_and_line(v0, v3) = 0) | (v4 = 0 & apart_point_and_line(v0, v2) = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (intersection_point(v0, v1) = v2) |  ? [v3] : (( ~ (v3 = 0) & apart_point_and_line(v2, v1) = v3) | ( ~ (v3 = 0) & convergent_lines(v0, v1) = v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (intersection_point(v0, v1) = v2) |  ? [v3] : (( ~ (v3 = 0) & apart_point_and_line(v2, v0) = v3) | ( ~ (v3 = 0) & convergent_lines(v0, v1) = v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (line_connecting(v0, v1) = v2) |  ? [v3] : (( ~ (v3 = 0) & apart_point_and_line(v1, v2) = v3) | ( ~ (v3 = 0) & distinct_points(v0, v1) = v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (line_connecting(v0, v1) = v2) |  ? [v3] : (( ~ (v3 = 0) & apart_point_and_line(v0, v2) = v3) | ( ~ (v3 = 0) & distinct_points(v0, v1) = v3))) &  ! [v0] :  ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) |  ? [v2] :  ? [v3] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v1) = v3)) &  ! [v0] :  ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) |  ? [v2] :  ? [v3] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v0) = v3)) &  ! [v0] :  ! [v1] : ( ~ (distinct_points(v0, v1) = 0) |  ? [v2] :  ? [v3] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 & apart_point_and_line(v1, v2) = v3)) &  ! [v0] :  ! [v1] : ( ~ (distinct_points(v0, v1) = 0) |  ? [v2] :  ? [v3] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 & apart_point_and_line(v0, v2) = v3)) &  ! [v0] :  ~ (convergent_lines(v0, v0) = 0) &  ! [v0] :  ~ (distinct_lines(v0, v0) = 0) &  ! [v0] :  ~ (distinct_points(v0, v0) = 0) &  ? [v0] :  ? [v1] :  ? [v2] : intersection_point(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : line_connecting(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : apart_point_and_line(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : convergent_lines(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : distinct_lines(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : distinct_points(v1, v0) = v2
% 59.42/32.23  |
% 59.42/32.23  | Applying alpha-rule on (1) yields:
% 59.42/32.23  | (2) distinct_points(all_0_5_5, all_0_3_3) = 0
% 59.42/32.23  | (3)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (convergent_lines(v1, v2) = v3) |  ~ (convergent_lines(v0, v1) = 0) | convergent_lines(v0, v2) = 0)
% 59.42/32.23  | (4)  ! [v0] :  ~ (distinct_points(v0, v0) = 0)
% 59.42/32.23  | (5)  ? [v0] :  ? [v1] :  ? [v2] : distinct_lines(v1, v0) = v2
% 59.42/32.23  | (6)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (apart_point_and_line(v0, v2) = v3) |  ~ (apart_point_and_line(v0, v1) = 0) | distinct_lines(v1, v2) = 0)
% 59.42/32.23  | (7)  ? [v0] :  ? [v1] :  ? [v2] : distinct_points(v1, v0) = v2
% 59.42/32.23  | (8)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (distinct_points(v0, v2) = v3) |  ~ (distinct_points(v0, v1) = 0) | distinct_points(v1, v2) = 0)
% 59.42/32.23  | (9)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 | v3 = 0 |  ~ (apart_point_and_line(v2, v1) = v4) |  ~ (distinct_points(v0, v2) = v3) |  ? [v5] : ( ~ (v5 = 0) & apart_point_and_line(v0, v1) = v5))
% 59.42/32.23  | (10)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v0, v3) = v5) |  ~ (apart_point_and_line(v0, v2) = v4) |  ~ (distinct_points(v0, v1) = 0) |  ? [v6] : ((v6 = 0 & apart_point_and_line(v1, v3) = 0) | (v6 = 0 & apart_point_and_line(v1, v2) = 0) | ( ~ (v6 = 0) & distinct_lines(v2, v3) = v6)))
% 59.42/32.23  | (11) distinct_points(all_0_5_5, all_0_4_4) = 0
% 59.42/32.23  | (12)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 | v3 = 0 |  ~ (convergent_lines(v0, v2) = v4) |  ~ (distinct_lines(v1, v2) = v3) |  ? [v5] : ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5))
% 59.42/32.23  | (13)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (line_connecting(v0, v1) = v2) |  ? [v3] : (( ~ (v3 = 0) & apart_point_and_line(v0, v2) = v3) | ( ~ (v3 = 0) & distinct_points(v0, v1) = v3)))
% 59.42/32.23  | (14)  ! [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))
% 59.42/32.23  | (15)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (apart_point_and_line(v3, v2) = v1) |  ~ (apart_point_and_line(v3, v2) = v0))
% 59.42/32.23  | (16)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (apart_point_and_line(v0, v1) = 0) |  ~ (distinct_points(v0, v2) = v3) | apart_point_and_line(v2, v1) = 0)
% 59.42/32.23  | (17)  ? [v0] :  ? [v1] :  ? [v2] : convergent_lines(v1, v0) = v2
% 59.42/32.23  | (18)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (intersection_point(v0, v1) = v2) |  ? [v3] : (( ~ (v3 = 0) & apart_point_and_line(v2, v1) = v3) | ( ~ (v3 = 0) & convergent_lines(v0, v1) = v3)))
% 59.42/32.23  | (19)  ? [v0] :  ? [v1] :  ? [v2] : intersection_point(v1, v0) = v2
% 59.42/32.23  | (20)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (convergent_lines(v3, v2) = v1) |  ~ (convergent_lines(v3, v2) = v0))
% 59.42/32.23  | (21)  ! [v0] :  ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) |  ? [v2] :  ? [v3] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v1) = v3))
% 59.42/32.23  | (22)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v2) = v5) |  ~ (apart_point_and_line(v0, v2) = v4) |  ~ (distinct_lines(v2, v3) = 0) |  ? [v6] : ((v6 = 0 & apart_point_and_line(v1, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v3) = 0) | ( ~ (v6 = 0) & distinct_points(v0, v1) = v6)))
% 59.42/32.23  | (23)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (convergent_lines(v0, v2) = v3) |  ~ (convergent_lines(v0, v1) = 0) | convergent_lines(v1, v2) = 0)
% 59.42/32.23  | (24)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (line_connecting(v0, v1) = v2) |  ? [v3] : (( ~ (v3 = 0) & apart_point_and_line(v1, v2) = v3) | ( ~ (v3 = 0) & distinct_points(v0, v1) = v3)))
% 59.42/32.24  | (25)  ! [v0] :  ! [v1] : ( ~ (distinct_points(v0, v1) = 0) |  ? [v2] :  ? [v3] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 & apart_point_and_line(v1, v2) = v3))
% 59.42/32.24  | (26)  ! [v0] :  ~ (convergent_lines(v0, v0) = 0)
% 59.42/32.24  | (27)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (distinct_points(v3, v2) = v1) |  ~ (distinct_points(v3, v2) = v0))
% 59.42/32.24  | (28)  ! [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))
% 59.42/32.24  | (29) line_connecting(all_0_5_5, all_0_4_4) = all_0_2_2
% 59.42/32.24  | (30)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) = v5) |  ~ (apart_point_and_line(v0, v3) = v4) |  ~ (distinct_lines(v2, v3) = 0) |  ? [v6] : ((v6 = 0 & apart_point_and_line(v1, v2) = 0) | (v6 = 0 & apart_point_and_line(v0, v2) = 0) | ( ~ (v6 = 0) & distinct_points(v0, v1) = v6)))
% 59.42/32.24  | (31)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (intersection_point(v0, v1) = v2) |  ? [v3] : (( ~ (v3 = 0) & apart_point_and_line(v2, v0) = v3) | ( ~ (v3 = 0) & convergent_lines(v0, v1) = v3)))
% 59.42/32.24  | (32) convergent_lines(all_0_2_2, all_0_1_1) = 0
% 59.42/32.24  | (33)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (distinct_lines(v2, v3) = 0) |  ~ (distinct_points(v0, v1) = 0) |  ? [v4] : ((v4 = 0 & apart_point_and_line(v1, v3) = 0) | (v4 = 0 & apart_point_and_line(v1, v2) = 0) | (v4 = 0 & apart_point_and_line(v0, v3) = 0) | (v4 = 0 & apart_point_and_line(v0, v2) = 0)))
% 59.42/32.24  | (34)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) = v5) |  ~ (apart_point_and_line(v0, v2) = v4) |  ? [v6] : ((v6 = 0 & apart_point_and_line(v1, v2) = 0) | (v6 = 0 & apart_point_and_line(v0, v3) = 0) | ( ~ (v6 = 0) & distinct_lines(v2, v3) = v6) | ( ~ (v6 = 0) & distinct_points(v0, v1) = v6)))
% 59.42/32.24  | (35)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (apart_point_and_line(v0, v1) = 0) |  ~ (distinct_lines(v1, v2) = v3) | apart_point_and_line(v0, v2) = 0)
% 59.42/32.24  | (36)  ! [v0] :  ~ (distinct_lines(v0, v0) = 0)
% 59.42/32.24  | (37)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (line_connecting(v3, v2) = v1) |  ~ (line_connecting(v3, v2) = v0))
% 59.42/32.24  | (38)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 | v3 = 0 |  ~ (apart_point_and_line(v0, v2) = v4) |  ~ (distinct_lines(v1, v2) = v3) |  ? [v5] : ( ~ (v5 = 0) & apart_point_and_line(v0, v1) = v5))
% 59.42/32.24  | (39)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 | v3 = 0 |  ~ (convergent_lines(v1, v2) = v4) |  ~ (convergent_lines(v0, v2) = v3) |  ? [v5] : ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5))
% 59.42/32.24  | (40)  ? [v0] :  ? [v1] :  ? [v2] : line_connecting(v1, v0) = v2
% 59.42/32.24  | (41)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (apart_point_and_line(v2, v1) = v3) |  ~ (apart_point_and_line(v0, v1) = 0) | distinct_points(v0, v2) = 0)
% 59.42/32.24  | (42)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (distinct_lines(v3, v2) = v1) |  ~ (distinct_lines(v3, v2) = v0))
% 59.42/32.24  | (43)  ? [v0] :  ? [v1] :  ? [v2] : apart_point_and_line(v1, v0) = v2
% 59.42/32.24  | (44) intersection_point(all_0_2_2, all_0_1_1) = all_0_0_0
% 59.42/32.24  | (45)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (distinct_lines(v1, v2) = v3) |  ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v0, v2) = 0)
% 59.42/32.24  | (46) line_connecting(all_0_5_5, all_0_3_3) = all_0_1_1
% 59.42/32.24  | (47)  ! [v0] :  ! [v1] : ( ~ (distinct_points(v0, v1) = 0) |  ? [v2] :  ? [v3] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 & apart_point_and_line(v0, v2) = v3))
% 59.42/32.24  | (48)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (distinct_points(v1, v2) = v3) |  ~ (distinct_points(v0, v1) = 0) | distinct_points(v0, v2) = 0)
% 59.42/32.24  | (49)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (convergent_lines(v0, v1) = 0) |  ~ (distinct_lines(v1, v2) = v3) | convergent_lines(v0, v2) = 0)
% 59.42/32.24  | (50)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (distinct_lines(v0, v2) = v3) |  ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v1, v2) = 0)
% 59.42/32.24  | (51) distinct_points(all_0_0_0, all_0_5_5) = 0
% 59.42/32.24  | (52)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v3) = v5) |  ~ (apart_point_and_line(v1, v2) = v4) |  ~ (distinct_points(v0, v1) = 0) |  ? [v6] : ((v6 = 0 & apart_point_and_line(v0, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v2) = 0) | ( ~ (v6 = 0) & distinct_lines(v2, v3) = v6)))
% 59.42/32.25  | (53)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (intersection_point(v3, v2) = v1) |  ~ (intersection_point(v3, v2) = v0))
% 59.42/32.25  | (54)  ! [v0] :  ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) |  ? [v2] :  ? [v3] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v0) = v3))
% 59.42/32.25  | (55)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 | v4 = 0 |  ~ (apart_point_and_line(v1, v2) = v5) |  ~ (apart_point_and_line(v0, v3) = v4) |  ? [v6] : ((v6 = 0 & apart_point_and_line(v1, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v2) = 0) | ( ~ (v6 = 0) & distinct_lines(v2, v3) = v6) | ( ~ (v6 = 0) & distinct_points(v0, v1) = v6)))
% 59.42/32.25  | (56)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (convergent_lines(v0, v2) = v3) |  ~ (convergent_lines(v0, v1) = 0) | distinct_lines(v1, v2) = 0)
% 59.42/32.25  |
% 59.42/32.25  | Instantiating formula (18) with all_0_0_0, all_0_1_1, all_0_2_2 and discharging atoms intersection_point(all_0_2_2, all_0_1_1) = all_0_0_0, yields:
% 59.42/32.25  | (57)  ? [v0] : (( ~ (v0 = 0) & apart_point_and_line(all_0_0_0, all_0_1_1) = v0) | ( ~ (v0 = 0) & convergent_lines(all_0_2_2, all_0_1_1) = v0))
% 59.42/32.25  |
% 59.42/32.25  | Instantiating formula (31) with all_0_0_0, all_0_1_1, all_0_2_2 and discharging atoms intersection_point(all_0_2_2, all_0_1_1) = all_0_0_0, yields:
% 59.42/32.25  | (58)  ? [v0] : (( ~ (v0 = 0) & apart_point_and_line(all_0_0_0, all_0_2_2) = v0) | ( ~ (v0 = 0) & convergent_lines(all_0_2_2, all_0_1_1) = v0))
% 59.42/32.25  |
% 59.42/32.25  | Instantiating formula (24) with all_0_1_1, all_0_3_3, all_0_5_5 and discharging atoms line_connecting(all_0_5_5, all_0_3_3) = all_0_1_1, yields:
% 59.42/32.25  | (59)  ? [v0] : (( ~ (v0 = 0) & apart_point_and_line(all_0_3_3, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0))
% 59.42/32.25  |
% 59.42/32.25  | Instantiating formula (13) with all_0_1_1, all_0_3_3, all_0_5_5 and discharging atoms line_connecting(all_0_5_5, all_0_3_3) = all_0_1_1, yields:
% 59.42/32.25  | (60)  ? [v0] : (( ~ (v0 = 0) & apart_point_and_line(all_0_5_5, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0))
% 59.42/32.25  |
% 59.42/32.25  | Instantiating formula (24) with all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms line_connecting(all_0_5_5, all_0_4_4) = all_0_2_2, yields:
% 59.42/32.25  | (61)  ? [v0] : (( ~ (v0 = 0) & apart_point_and_line(all_0_4_4, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 59.42/32.25  |
% 59.42/32.25  | Instantiating formula (13) with all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms line_connecting(all_0_5_5, all_0_4_4) = all_0_2_2, yields:
% 59.42/32.25  | (62)  ? [v0] : (( ~ (v0 = 0) & apart_point_and_line(all_0_5_5, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 59.42/32.25  |
% 59.42/32.25  | Instantiating formula (21) with all_0_1_1, all_0_2_2 and discharging atoms convergent_lines(all_0_2_2, all_0_1_1) = 0, yields:
% 59.42/32.25  | (63)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & intersection_point(all_0_2_2, all_0_1_1) = v0 & apart_point_and_line(v0, all_0_1_1) = v1)
% 59.42/32.25  |
% 59.42/32.25  | Instantiating formula (54) with all_0_1_1, all_0_2_2 and discharging atoms convergent_lines(all_0_2_2, all_0_1_1) = 0, yields:
% 59.42/32.25  | (64)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & intersection_point(all_0_2_2, all_0_1_1) = v0 & apart_point_and_line(v0, all_0_2_2) = v1)
% 59.42/32.25  |
% 59.42/32.25  | Instantiating formula (25) with all_0_5_5, all_0_0_0 and discharging atoms distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 59.42/32.25  | (65)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & line_connecting(all_0_0_0, all_0_5_5) = v0 & apart_point_and_line(all_0_5_5, v0) = v1)
% 59.42/32.25  |
% 59.42/32.25  | Instantiating formula (47) with all_0_5_5, all_0_0_0 and discharging atoms distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 59.42/32.25  | (66)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & line_connecting(all_0_0_0, all_0_5_5) = v0 & apart_point_and_line(all_0_0_0, v0) = v1)
% 59.42/32.25  |
% 59.42/32.25  | Instantiating formula (25) with all_0_3_3, all_0_5_5 and discharging atoms distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 59.42/32.25  | (67)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & line_connecting(all_0_5_5, all_0_3_3) = v0 & apart_point_and_line(all_0_3_3, v0) = v1)
% 59.42/32.25  |
% 59.42/32.25  | Instantiating formula (47) with all_0_3_3, all_0_5_5 and discharging atoms distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 59.42/32.25  | (68)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & line_connecting(all_0_5_5, all_0_3_3) = v0 & apart_point_and_line(all_0_5_5, v0) = v1)
% 59.42/32.25  |
% 59.42/32.25  | Instantiating formula (25) with all_0_4_4, all_0_5_5 and discharging atoms distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 59.42/32.25  | (69)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & line_connecting(all_0_5_5, all_0_4_4) = v0 & apart_point_and_line(all_0_4_4, v0) = v1)
% 59.42/32.25  |
% 59.42/32.25  | Instantiating formula (47) with all_0_4_4, all_0_5_5 and discharging atoms distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 59.42/32.25  | (70)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & line_connecting(all_0_5_5, all_0_4_4) = v0 & apart_point_and_line(all_0_5_5, v0) = v1)
% 59.42/32.25  |
% 59.42/32.25  | Instantiating (70) with all_20_0_24, all_20_1_25 yields:
% 59.42/32.25  | (71)  ~ (all_20_0_24 = 0) & line_connecting(all_0_5_5, all_0_4_4) = all_20_1_25 & apart_point_and_line(all_0_5_5, all_20_1_25) = all_20_0_24
% 59.42/32.25  |
% 59.42/32.25  | Applying alpha-rule on (71) yields:
% 59.42/32.25  | (72)  ~ (all_20_0_24 = 0)
% 59.42/32.25  | (73) line_connecting(all_0_5_5, all_0_4_4) = all_20_1_25
% 59.42/32.25  | (74) apart_point_and_line(all_0_5_5, all_20_1_25) = all_20_0_24
% 59.42/32.26  |
% 59.42/32.26  | Instantiating (68) with all_22_0_26, all_22_1_27 yields:
% 59.42/32.26  | (75)  ~ (all_22_0_26 = 0) & line_connecting(all_0_5_5, all_0_3_3) = all_22_1_27 & apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26
% 59.42/32.26  |
% 59.42/32.26  | Applying alpha-rule on (75) yields:
% 59.42/32.26  | (76)  ~ (all_22_0_26 = 0)
% 59.42/32.26  | (77) line_connecting(all_0_5_5, all_0_3_3) = all_22_1_27
% 59.42/32.26  | (78) apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26
% 59.42/32.26  |
% 59.42/32.26  | Instantiating (66) with all_24_0_28, all_24_1_29 yields:
% 59.42/32.26  | (79)  ~ (all_24_0_28 = 0) & line_connecting(all_0_0_0, all_0_5_5) = all_24_1_29 & apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28
% 59.42/32.26  |
% 59.42/32.26  | Applying alpha-rule on (79) yields:
% 59.42/32.26  | (80)  ~ (all_24_0_28 = 0)
% 59.42/32.26  | (81) line_connecting(all_0_0_0, all_0_5_5) = all_24_1_29
% 59.42/32.26  | (82) apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28
% 59.42/32.26  |
% 59.42/32.26  | Instantiating (65) with all_26_0_30, all_26_1_31 yields:
% 59.42/32.26  | (83)  ~ (all_26_0_30 = 0) & line_connecting(all_0_0_0, all_0_5_5) = all_26_1_31 & apart_point_and_line(all_0_5_5, all_26_1_31) = all_26_0_30
% 59.42/32.26  |
% 59.42/32.26  | Applying alpha-rule on (83) yields:
% 59.42/32.26  | (84)  ~ (all_26_0_30 = 0)
% 59.42/32.26  | (85) line_connecting(all_0_0_0, all_0_5_5) = all_26_1_31
% 59.42/32.26  | (86) apart_point_and_line(all_0_5_5, all_26_1_31) = all_26_0_30
% 59.42/32.26  |
% 59.42/32.26  | Instantiating (67) with all_28_0_32, all_28_1_33 yields:
% 59.42/32.26  | (87)  ~ (all_28_0_32 = 0) & line_connecting(all_0_5_5, all_0_3_3) = all_28_1_33 & apart_point_and_line(all_0_3_3, all_28_1_33) = all_28_0_32
% 59.42/32.26  |
% 59.42/32.26  | Applying alpha-rule on (87) yields:
% 59.42/32.26  | (88)  ~ (all_28_0_32 = 0)
% 59.42/32.26  | (89) line_connecting(all_0_5_5, all_0_3_3) = all_28_1_33
% 59.42/32.26  | (90) apart_point_and_line(all_0_3_3, all_28_1_33) = all_28_0_32
% 59.42/32.26  |
% 59.42/32.26  | Instantiating (69) with all_30_0_34, all_30_1_35 yields:
% 59.42/32.26  | (91)  ~ (all_30_0_34 = 0) & line_connecting(all_0_5_5, all_0_4_4) = all_30_1_35 & apart_point_and_line(all_0_4_4, all_30_1_35) = all_30_0_34
% 59.42/32.26  |
% 59.42/32.26  | Applying alpha-rule on (91) yields:
% 59.42/32.26  | (92)  ~ (all_30_0_34 = 0)
% 59.42/32.26  | (93) line_connecting(all_0_5_5, all_0_4_4) = all_30_1_35
% 59.42/32.26  | (94) apart_point_and_line(all_0_4_4, all_30_1_35) = all_30_0_34
% 59.42/32.26  |
% 59.42/32.26  | Instantiating (64) with all_32_0_36, all_32_1_37 yields:
% 59.42/32.26  | (95)  ~ (all_32_0_36 = 0) & intersection_point(all_0_2_2, all_0_1_1) = all_32_1_37 & apart_point_and_line(all_32_1_37, all_0_2_2) = all_32_0_36
% 59.42/32.26  |
% 59.42/32.26  | Applying alpha-rule on (95) yields:
% 59.42/32.26  | (96)  ~ (all_32_0_36 = 0)
% 59.42/32.26  | (97) intersection_point(all_0_2_2, all_0_1_1) = all_32_1_37
% 59.42/32.26  | (98) apart_point_and_line(all_32_1_37, all_0_2_2) = all_32_0_36
% 59.42/32.26  |
% 59.42/32.26  | Instantiating (62) with all_34_0_38 yields:
% 59.42/32.26  | (99) ( ~ (all_34_0_38 = 0) & apart_point_and_line(all_0_5_5, all_0_2_2) = all_34_0_38) | ( ~ (all_34_0_38 = 0) & distinct_points(all_0_5_5, all_0_4_4) = all_34_0_38)
% 59.42/32.26  |
% 59.42/32.26  | Instantiating (61) with all_35_0_39 yields:
% 59.42/32.26  | (100) ( ~ (all_35_0_39 = 0) & apart_point_and_line(all_0_4_4, all_0_2_2) = all_35_0_39) | ( ~ (all_35_0_39 = 0) & distinct_points(all_0_5_5, all_0_4_4) = all_35_0_39)
% 59.42/32.26  |
% 59.42/32.26  | Instantiating (63) with all_36_0_40, all_36_1_41 yields:
% 59.42/32.26  | (101)  ~ (all_36_0_40 = 0) & intersection_point(all_0_2_2, all_0_1_1) = all_36_1_41 & apart_point_and_line(all_36_1_41, all_0_1_1) = all_36_0_40
% 59.42/32.26  |
% 59.42/32.26  | Applying alpha-rule on (101) yields:
% 59.42/32.26  | (102)  ~ (all_36_0_40 = 0)
% 59.42/32.26  | (103) intersection_point(all_0_2_2, all_0_1_1) = all_36_1_41
% 59.42/32.26  | (104) apart_point_and_line(all_36_1_41, all_0_1_1) = all_36_0_40
% 59.42/32.26  |
% 59.42/32.26  | Instantiating (60) with all_38_0_42 yields:
% 59.42/32.26  | (105) ( ~ (all_38_0_42 = 0) & apart_point_and_line(all_0_5_5, all_0_1_1) = all_38_0_42) | ( ~ (all_38_0_42 = 0) & distinct_points(all_0_5_5, all_0_3_3) = all_38_0_42)
% 59.42/32.26  |
% 59.42/32.26  | Instantiating (59) with all_39_0_43 yields:
% 59.42/32.26  | (106) ( ~ (all_39_0_43 = 0) & apart_point_and_line(all_0_3_3, all_0_1_1) = all_39_0_43) | ( ~ (all_39_0_43 = 0) & distinct_points(all_0_5_5, all_0_3_3) = all_39_0_43)
% 59.42/32.26  |
% 59.42/32.26  | Instantiating (58) with all_40_0_44 yields:
% 59.42/32.26  | (107) ( ~ (all_40_0_44 = 0) & apart_point_and_line(all_0_0_0, all_0_2_2) = all_40_0_44) | ( ~ (all_40_0_44 = 0) & convergent_lines(all_0_2_2, all_0_1_1) = all_40_0_44)
% 59.42/32.26  |
% 59.42/32.26  | Instantiating (57) with all_41_0_45 yields:
% 59.42/32.26  | (108) ( ~ (all_41_0_45 = 0) & apart_point_and_line(all_0_0_0, all_0_1_1) = all_41_0_45) | ( ~ (all_41_0_45 = 0) & convergent_lines(all_0_2_2, all_0_1_1) = all_41_0_45)
% 59.42/32.26  |
% 59.42/32.26  +-Applying beta-rule and splitting (99), into two cases.
% 59.42/32.26  |-Branch one:
% 59.42/32.26  | (109)  ~ (all_34_0_38 = 0) & apart_point_and_line(all_0_5_5, all_0_2_2) = all_34_0_38
% 59.42/32.26  |
% 59.42/32.26  	| Applying alpha-rule on (109) yields:
% 59.42/32.26  	| (110)  ~ (all_34_0_38 = 0)
% 59.42/32.26  	| (111) apart_point_and_line(all_0_5_5, all_0_2_2) = all_34_0_38
% 59.42/32.26  	|
% 59.42/32.26  	+-Applying beta-rule and splitting (100), into two cases.
% 59.42/32.26  	|-Branch one:
% 59.42/32.26  	| (112)  ~ (all_35_0_39 = 0) & apart_point_and_line(all_0_4_4, all_0_2_2) = all_35_0_39
% 59.42/32.26  	|
% 59.42/32.26  		| Applying alpha-rule on (112) yields:
% 59.42/32.26  		| (113)  ~ (all_35_0_39 = 0)
% 59.42/32.26  		| (114) apart_point_and_line(all_0_4_4, all_0_2_2) = all_35_0_39
% 59.42/32.26  		|
% 59.42/32.26  		+-Applying beta-rule and splitting (108), into two cases.
% 59.42/32.26  		|-Branch one:
% 59.42/32.26  		| (115)  ~ (all_41_0_45 = 0) & apart_point_and_line(all_0_0_0, all_0_1_1) = all_41_0_45
% 59.42/32.26  		|
% 59.42/32.26  			| Applying alpha-rule on (115) yields:
% 59.42/32.26  			| (116)  ~ (all_41_0_45 = 0)
% 59.42/32.26  			| (117) apart_point_and_line(all_0_0_0, all_0_1_1) = all_41_0_45
% 59.42/32.26  			|
% 59.42/32.26  			+-Applying beta-rule and splitting (105), into two cases.
% 59.42/32.26  			|-Branch one:
% 59.42/32.27  			| (118)  ~ (all_38_0_42 = 0) & apart_point_and_line(all_0_5_5, all_0_1_1) = all_38_0_42
% 59.42/32.27  			|
% 59.42/32.27  				| Applying alpha-rule on (118) yields:
% 59.42/32.27  				| (119)  ~ (all_38_0_42 = 0)
% 59.42/32.27  				| (120) apart_point_and_line(all_0_5_5, all_0_1_1) = all_38_0_42
% 59.42/32.27  				|
% 59.42/32.27  				+-Applying beta-rule and splitting (107), into two cases.
% 59.42/32.27  				|-Branch one:
% 59.42/32.27  				| (121)  ~ (all_40_0_44 = 0) & apart_point_and_line(all_0_0_0, all_0_2_2) = all_40_0_44
% 59.42/32.27  				|
% 59.42/32.27  					| Applying alpha-rule on (121) yields:
% 59.42/32.27  					| (122)  ~ (all_40_0_44 = 0)
% 59.42/32.27  					| (123) apart_point_and_line(all_0_0_0, all_0_2_2) = all_40_0_44
% 59.42/32.27  					|
% 59.42/32.27  					+-Applying beta-rule and splitting (106), into two cases.
% 59.42/32.27  					|-Branch one:
% 59.42/32.27  					| (124)  ~ (all_39_0_43 = 0) & apart_point_and_line(all_0_3_3, all_0_1_1) = all_39_0_43
% 59.42/32.27  					|
% 59.42/32.27  						| Applying alpha-rule on (124) yields:
% 59.42/32.27  						| (125)  ~ (all_39_0_43 = 0)
% 59.42/32.27  						| (126) apart_point_and_line(all_0_3_3, all_0_1_1) = all_39_0_43
% 59.42/32.27  						|
% 59.42/32.27  						| Instantiating formula (53) with all_0_2_2, all_0_1_1, all_36_1_41, all_0_0_0 and discharging atoms intersection_point(all_0_2_2, all_0_1_1) = all_36_1_41, intersection_point(all_0_2_2, all_0_1_1) = all_0_0_0, yields:
% 59.42/32.27  						| (127) all_36_1_41 = all_0_0_0
% 59.42/32.27  						|
% 59.42/32.27  						| Instantiating formula (53) with all_0_2_2, all_0_1_1, all_32_1_37, all_36_1_41 and discharging atoms intersection_point(all_0_2_2, all_0_1_1) = all_36_1_41, intersection_point(all_0_2_2, all_0_1_1) = all_32_1_37, yields:
% 59.42/32.27  						| (128) all_36_1_41 = all_32_1_37
% 59.42/32.27  						|
% 59.42/32.27  						| Instantiating formula (37) with all_0_0_0, all_0_5_5, all_24_1_29, all_26_1_31 and discharging atoms line_connecting(all_0_0_0, all_0_5_5) = all_26_1_31, line_connecting(all_0_0_0, all_0_5_5) = all_24_1_29, yields:
% 59.42/32.27  						| (129) all_26_1_31 = all_24_1_29
% 59.42/32.27  						|
% 59.42/32.27  						| Instantiating formula (37) with all_0_5_5, all_0_3_3, all_28_1_33, all_0_1_1 and discharging atoms line_connecting(all_0_5_5, all_0_3_3) = all_28_1_33, line_connecting(all_0_5_5, all_0_3_3) = all_0_1_1, yields:
% 59.42/32.27  						| (130) all_28_1_33 = all_0_1_1
% 59.42/32.27  						|
% 59.42/32.27  						| Instantiating formula (37) with all_0_5_5, all_0_3_3, all_22_1_27, all_28_1_33 and discharging atoms line_connecting(all_0_5_5, all_0_3_3) = all_28_1_33, line_connecting(all_0_5_5, all_0_3_3) = all_22_1_27, yields:
% 59.42/32.27  						| (131) all_28_1_33 = all_22_1_27
% 59.42/32.27  						|
% 59.42/32.27  						| Instantiating formula (37) with all_0_5_5, all_0_4_4, all_30_1_35, all_0_2_2 and discharging atoms line_connecting(all_0_5_5, all_0_4_4) = all_30_1_35, line_connecting(all_0_5_5, all_0_4_4) = all_0_2_2, yields:
% 59.42/32.27  						| (132) all_30_1_35 = all_0_2_2
% 59.42/32.27  						|
% 59.42/32.27  						| Instantiating formula (37) with all_0_5_5, all_0_4_4, all_20_1_25, all_30_1_35 and discharging atoms line_connecting(all_0_5_5, all_0_4_4) = all_30_1_35, line_connecting(all_0_5_5, all_0_4_4) = all_20_1_25, yields:
% 59.42/32.27  						| (133) all_30_1_35 = all_20_1_25
% 59.42/32.27  						|
% 59.42/32.27  						| Combining equations (127,128) yields a new equation:
% 59.42/32.27  						| (134) all_32_1_37 = all_0_0_0
% 59.42/32.27  						|
% 59.42/32.27  						| Combining equations (133,132) yields a new equation:
% 59.42/32.27  						| (135) all_20_1_25 = all_0_2_2
% 59.42/32.27  						|
% 59.42/32.27  						| Simplifying 135 yields:
% 59.42/32.27  						| (136) all_20_1_25 = all_0_2_2
% 59.42/32.27  						|
% 59.42/32.27  						| Combining equations (130,131) yields a new equation:
% 59.42/32.27  						| (137) all_22_1_27 = all_0_1_1
% 59.42/32.27  						|
% 59.42/32.27  						| Combining equations (137,131) yields a new equation:
% 59.42/32.27  						| (130) all_28_1_33 = all_0_1_1
% 59.42/32.27  						|
% 59.42/32.27  						| Combining equations (134,128) yields a new equation:
% 59.42/32.27  						| (127) all_36_1_41 = all_0_0_0
% 59.42/32.27  						|
% 59.42/32.27  						| From (127) and (104) follows:
% 59.42/32.27  						| (140) apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40
% 59.42/32.27  						|
% 59.42/32.27  						| From (134) and (98) follows:
% 59.42/32.27  						| (141) apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36
% 59.42/32.27  						|
% 59.42/32.27  						| From (130) and (90) follows:
% 59.42/32.27  						| (142) apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32
% 59.42/32.27  						|
% 59.42/32.27  						| From (132) and (94) follows:
% 59.42/32.27  						| (143) apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34
% 59.42/32.27  						|
% 59.42/32.27  						| From (129) and (86) follows:
% 59.42/32.27  						| (144) apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30
% 59.42/32.27  						|
% 59.42/32.27  						| From (137) and (78) follows:
% 59.42/32.27  						| (145) apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26
% 59.42/32.27  						|
% 59.42/32.27  						| From (136) and (74) follows:
% 59.42/32.27  						| (146) apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24
% 59.42/32.27  						|
% 59.42/32.27  						| Instantiating formula (15) with all_0_0_0, all_0_1_1, all_36_0_40, all_41_0_45 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_41_0_45, apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, yields:
% 59.42/32.27  						| (147) all_41_0_45 = all_36_0_40
% 59.42/32.27  						|
% 59.42/32.27  						| Instantiating formula (15) with all_0_0_0, all_0_2_2, all_32_0_36, all_40_0_44 and discharging atoms apart_point_and_line(all_0_0_0, all_0_2_2) = all_40_0_44, apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, yields:
% 59.42/32.27  						| (148) all_40_0_44 = all_32_0_36
% 59.42/32.27  						|
% 59.42/32.27  						| Instantiating formula (15) with all_0_3_3, all_0_1_1, all_28_0_32, all_39_0_43 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_39_0_43, apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32, yields:
% 59.42/32.27  						| (149) all_39_0_43 = all_28_0_32
% 59.42/32.27  						|
% 59.42/32.27  						| Instantiating formula (15) with all_0_4_4, all_0_2_2, all_30_0_34, all_35_0_39 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_35_0_39, apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34, yields:
% 59.42/32.27  						| (150) all_35_0_39 = all_30_0_34
% 59.42/32.27  						|
% 59.42/32.27  						| Instantiating formula (15) with all_0_5_5, all_0_1_1, all_22_0_26, all_38_0_42 and discharging atoms apart_point_and_line(all_0_5_5, all_0_1_1) = all_38_0_42, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, yields:
% 59.42/32.27  						| (151) all_38_0_42 = all_22_0_26
% 59.42/32.27  						|
% 59.42/32.27  						| Instantiating formula (15) with all_0_5_5, all_0_2_2, all_20_0_24, all_34_0_38 and discharging atoms apart_point_and_line(all_0_5_5, all_0_2_2) = all_34_0_38, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 59.42/32.27  						| (152) all_34_0_38 = all_20_0_24
% 59.42/32.27  						|
% 59.42/32.27  						| Equations (147) can reduce 116 to:
% 59.42/32.28  						| (102)  ~ (all_36_0_40 = 0)
% 59.42/32.28  						|
% 59.42/32.28  						| Equations (148) can reduce 122 to:
% 59.42/32.28  						| (96)  ~ (all_32_0_36 = 0)
% 59.42/32.28  						|
% 59.42/32.28  						| Equations (149) can reduce 125 to:
% 59.42/32.28  						| (88)  ~ (all_28_0_32 = 0)
% 59.42/32.28  						|
% 59.42/32.28  						| Equations (151) can reduce 119 to:
% 59.42/32.28  						| (76)  ~ (all_22_0_26 = 0)
% 59.42/32.28  						|
% 59.42/32.28  						| Equations (150) can reduce 113 to:
% 59.42/32.28  						| (92)  ~ (all_30_0_34 = 0)
% 59.42/32.28  						|
% 59.42/32.28  						| Equations (152) can reduce 110 to:
% 59.42/32.28  						| (72)  ~ (all_20_0_24 = 0)
% 59.42/32.28  						|
% 59.42/32.28  						| From (147) and (117) follows:
% 59.42/32.28  						| (140) apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40
% 59.42/32.28  						|
% 59.42/32.28  						| From (148) and (123) follows:
% 59.42/32.28  						| (141) apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36
% 59.42/32.28  						|
% 59.42/32.28  						| From (149) and (126) follows:
% 59.42/32.28  						| (142) apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32
% 59.42/32.28  						|
% 59.42/32.28  						| From (150) and (114) follows:
% 59.42/32.28  						| (143) apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34
% 59.42/32.28  						|
% 59.42/32.28  						| From (151) and (120) follows:
% 59.42/32.28  						| (145) apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26
% 59.42/32.28  						|
% 59.42/32.28  						| From (152) and (111) follows:
% 59.42/32.28  						| (146) apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24
% 59.42/32.28  						|
% 59.42/32.28  						| Instantiating formula (10) with all_24_0_28, all_24_0_28, all_24_1_29, all_24_1_29, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 59.42/32.28  						| (165) all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_24_1_29) = v0))
% 59.42/32.28  						|
% 59.42/32.28  						| Instantiating formula (34) with all_24_0_28, all_24_0_28, all_24_1_29, all_24_1_29, all_0_0_0, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, yields:
% 59.42/32.28  						| (166) all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_0_0) = v0))
% 59.77/32.28  						|
% 59.77/32.28  						| Instantiating formula (10) with all_36_0_40, all_24_0_28, all_0_1_1, all_24_1_29, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 59.77/32.28  						| (167) all_36_0_40 = 0 | all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0))
% 59.77/32.28  						|
% 59.77/32.28  						| Instantiating formula (10) with all_24_0_28, all_36_0_40, all_24_1_29, all_0_1_1, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 59.77/32.28  						| (168) all_36_0_40 = 0 | all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0))
% 59.77/32.28  						|
% 59.77/32.28  						| Instantiating formula (34) with all_36_0_40, all_24_0_28, all_0_1_1, all_24_1_29, all_0_0_0, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, yields:
% 59.77/32.28  						| (169) all_36_0_40 = 0 | all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_0_0) = v0))
% 59.77/32.28  						|
% 59.77/32.28  						| Instantiating formula (34) with all_24_0_28, all_36_0_40, all_24_1_29, all_0_1_1, all_0_0_0, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, yields:
% 59.77/32.28  						| (170) all_36_0_40 = 0 | all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_0_0) = v0))
% 59.77/32.28  						|
% 59.77/32.28  						| Instantiating formula (10) with all_36_0_40, all_36_0_40, all_0_1_1, all_0_1_1, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 59.77/32.28  						| (171) all_36_0_40 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0))
% 59.77/32.28  						|
% 59.77/32.28  						| Instantiating formula (34) with all_36_0_40, all_36_0_40, all_0_1_1, all_0_1_1, all_0_0_0, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, yields:
% 59.77/32.28  						| (172) all_36_0_40 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_0_0) = v0))
% 59.77/32.28  						|
% 59.77/32.28  						| Instantiating formula (10) with all_32_0_36, all_24_0_28, all_0_2_2, all_24_1_29, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 59.77/32.28  						| (173) all_32_0_36 = 0 | all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0))
% 59.77/32.28  						|
% 59.77/32.28  						| Instantiating formula (10) with all_24_0_28, all_32_0_36, all_24_1_29, all_0_2_2, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 59.77/32.28  						| (174) all_32_0_36 = 0 | all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0))
% 59.77/32.28  						|
% 59.77/32.28  						| Instantiating formula (34) with all_32_0_36, all_24_0_28, all_0_2_2, all_24_1_29, all_0_0_0, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, yields:
% 59.77/32.28  						| (175) all_32_0_36 = 0 | all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_0_0) = v0))
% 59.77/32.29  						|
% 59.77/32.29  						| Instantiating formula (34) with all_24_0_28, all_32_0_36, all_24_1_29, all_0_2_2, all_0_0_0, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, yields:
% 59.77/32.29  						| (176) all_32_0_36 = 0 | all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_0_0) = v0))
% 59.77/32.29  						|
% 59.77/32.29  						| Instantiating formula (10) with all_32_0_36, all_36_0_40, all_0_2_2, all_0_1_1, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 59.77/32.29  						| (177) all_36_0_40 = 0 | all_32_0_36 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0))
% 59.77/32.29  						|
% 59.77/32.29  						| Instantiating formula (10) with all_36_0_40, all_32_0_36, all_0_1_1, all_0_2_2, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 59.77/32.29  						| (178) all_36_0_40 = 0 | all_32_0_36 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0))
% 59.77/32.29  						|
% 59.77/32.29  						| Instantiating formula (34) with all_32_0_36, all_36_0_40, all_0_2_2, all_0_1_1, all_0_0_0, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, yields:
% 59.77/32.29  						| (179) all_36_0_40 = 0 | all_32_0_36 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_0_0) = v0))
% 59.77/32.29  						|
% 59.77/32.29  						| Instantiating formula (34) with all_36_0_40, all_32_0_36, all_0_1_1, all_0_2_2, all_0_0_0, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, yields:
% 59.77/32.29  						| (180) all_36_0_40 = 0 | all_32_0_36 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_0_0) = v0))
% 59.77/32.29  						|
% 59.77/32.29  						| Instantiating formula (10) with all_32_0_36, all_32_0_36, all_0_2_2, all_0_2_2, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 59.77/32.29  						| (181) all_32_0_36 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0))
% 59.77/32.29  						|
% 59.77/32.29  						| Instantiating formula (34) with all_32_0_36, all_32_0_36, all_0_2_2, all_0_2_2, all_0_0_0, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, yields:
% 59.77/32.29  						| (182) all_32_0_36 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_0_0) = v0))
% 59.77/32.29  						|
% 59.77/32.29  						| Instantiating formula (34) with all_28_0_32, all_24_0_28, all_0_1_1, all_24_1_29, all_0_3_3, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32, yields:
% 59.77/32.29  						| (183) all_28_0_32 = 0 | all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_3_3) = v0))
% 59.77/32.29  						|
% 59.77/32.29  						| Instantiating formula (34) with all_24_0_28, all_28_0_32, all_24_1_29, all_0_1_1, all_0_0_0, all_0_3_3 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32, yields:
% 59.77/32.29  						| (184) all_28_0_32 = 0 | all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_0_0) = v0))
% 59.77/32.29  						|
% 59.77/32.29  						| Instantiating formula (55) with all_28_0_32, all_24_0_28, all_24_1_29, all_0_1_1, all_0_3_3, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32, yields:
% 59.77/32.29  						| (185) all_28_0_32 = 0 | all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_3_3) = v0))
% 59.77/32.29  						|
% 59.77/32.29  						| Instantiating formula (55) with all_24_0_28, all_28_0_32, all_0_1_1, all_24_1_29, all_0_0_0, all_0_3_3 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32, yields:
% 59.77/32.29  						| (186) all_28_0_32 = 0 | all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_0_0) = v0))
% 59.77/32.29  						|
% 59.77/32.29  						| Instantiating formula (34) with all_28_0_32, all_36_0_40, all_0_1_1, all_0_1_1, all_0_3_3, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32, yields:
% 59.77/32.29  						| (187) all_36_0_40 = 0 | all_28_0_32 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_3_3) = v0))
% 59.77/32.29  						|
% 59.77/32.29  						| Instantiating formula (34) with all_36_0_40, all_28_0_32, all_0_1_1, all_0_1_1, all_0_0_0, all_0_3_3 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32, yields:
% 59.77/32.29  						| (188) all_36_0_40 = 0 | all_28_0_32 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_0_0) = v0))
% 59.77/32.30  						|
% 59.77/32.30  						| Instantiating formula (34) with all_28_0_32, all_32_0_36, all_0_1_1, all_0_2_2, all_0_3_3, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32, yields:
% 59.77/32.30  						| (189) all_32_0_36 = 0 | all_28_0_32 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_3_3) = v0))
% 59.77/32.30  						|
% 59.77/32.30  						| Instantiating formula (34) with all_32_0_36, all_28_0_32, all_0_2_2, all_0_1_1, all_0_0_0, all_0_3_3 and discharging atoms apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32, yields:
% 59.77/32.30  						| (190) all_32_0_36 = 0 | all_28_0_32 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_0_0) = v0))
% 59.77/32.30  						|
% 59.77/32.30  						| Instantiating formula (55) with all_28_0_32, all_32_0_36, all_0_2_2, all_0_1_1, all_0_3_3, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32, yields:
% 59.77/32.30  						| (191) all_32_0_36 = 0 | all_28_0_32 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_3_3) = v0))
% 59.77/32.30  						|
% 59.77/32.30  						| Instantiating formula (55) with all_32_0_36, all_28_0_32, all_0_1_1, all_0_2_2, all_0_0_0, all_0_3_3 and discharging atoms apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32, yields:
% 59.77/32.30  						| (192) all_32_0_36 = 0 | all_28_0_32 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_0_0) = v0))
% 59.77/32.30  						|
% 59.77/32.30  						| Instantiating formula (52) with all_28_0_32, all_28_0_32, all_0_1_1, all_0_1_1, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32, distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 59.77/32.30  						| (193) all_28_0_32 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0))
% 59.77/32.30  						|
% 59.77/32.30  						| Instantiating formula (34) with all_28_0_32, all_28_0_32, all_0_1_1, all_0_1_1, all_0_3_3, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32, yields:
% 59.77/32.30  						| (194) all_28_0_32 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0))
% 59.77/32.30  						|
% 59.77/32.30  						| Instantiating formula (34) with all_30_0_34, all_24_0_28, all_0_2_2, all_24_1_29, all_0_4_4, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34, yields:
% 59.77/32.30  						| (195) all_30_0_34 = 0 | all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_4_4) = v0))
% 59.77/32.30  						|
% 59.77/32.30  						| Instantiating formula (34) with all_24_0_28, all_30_0_34, all_24_1_29, all_0_2_2, all_0_0_0, all_0_4_4 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34, yields:
% 59.77/32.30  						| (196) all_30_0_34 = 0 | all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_0_0) = v0))
% 59.77/32.30  						|
% 59.77/32.30  						| Instantiating formula (55) with all_30_0_34, all_24_0_28, all_24_1_29, all_0_2_2, all_0_4_4, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34, yields:
% 59.77/32.30  						| (197) all_30_0_34 = 0 | all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_4_4) = v0))
% 59.77/32.30  						|
% 59.77/32.30  						| Instantiating formula (55) with all_24_0_28, all_30_0_34, all_0_2_2, all_24_1_29, all_0_0_0, all_0_4_4 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34, yields:
% 59.77/32.30  						| (198) all_30_0_34 = 0 | all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_0_0) = v0))
% 59.77/32.30  						|
% 59.77/32.30  						| Instantiating formula (34) with all_30_0_34, all_36_0_40, all_0_2_2, all_0_1_1, all_0_4_4, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34, yields:
% 59.77/32.30  						| (199) all_36_0_40 = 0 | all_30_0_34 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_4_4) = v0))
% 59.77/32.30  						|
% 59.77/32.30  						| Instantiating formula (34) with all_36_0_40, all_30_0_34, all_0_1_1, all_0_2_2, all_0_0_0, all_0_4_4 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34, yields:
% 59.77/32.30  						| (200) all_36_0_40 = 0 | all_30_0_34 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_0_0) = v0))
% 59.77/32.30  						|
% 59.77/32.30  						| Instantiating formula (55) with all_30_0_34, all_36_0_40, all_0_1_1, all_0_2_2, all_0_4_4, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34, yields:
% 59.77/32.31  						| (201) all_36_0_40 = 0 | all_30_0_34 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_4_4) = v0))
% 59.77/32.31  						|
% 59.77/32.31  						| Instantiating formula (55) with all_36_0_40, all_30_0_34, all_0_2_2, all_0_1_1, all_0_0_0, all_0_4_4 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34, yields:
% 59.77/32.31  						| (202) all_36_0_40 = 0 | all_30_0_34 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_0_0) = v0))
% 59.77/32.31  						|
% 59.77/32.31  						| Instantiating formula (34) with all_30_0_34, all_32_0_36, all_0_2_2, all_0_2_2, all_0_4_4, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34, yields:
% 59.77/32.31  						| (203) all_32_0_36 = 0 | all_30_0_34 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_4_4) = v0))
% 59.77/32.31  						|
% 59.77/32.31  						| Instantiating formula (34) with all_32_0_36, all_30_0_34, all_0_2_2, all_0_2_2, all_0_0_0, all_0_4_4 and discharging atoms apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34, yields:
% 59.77/32.31  						| (204) all_32_0_36 = 0 | all_30_0_34 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_0_0) = v0))
% 59.77/32.31  						|
% 59.77/32.31  						| Instantiating formula (55) with all_30_0_34, all_28_0_32, all_0_1_1, all_0_2_2, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32, apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34, yields:
% 59.77/32.31  						| (205) all_30_0_34 = 0 | all_28_0_32 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 59.77/32.31  						|
% 59.77/32.31  						| Instantiating formula (52) with all_30_0_34, all_30_0_34, all_0_2_2, all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34, distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 59.77/32.31  						| (206) all_30_0_34 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0))
% 59.77/32.31  						|
% 59.77/32.31  						| Instantiating formula (34) with all_30_0_34, all_30_0_34, all_0_2_2, all_0_2_2, all_0_4_4, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34, yields:
% 59.77/32.31  						| (207) all_30_0_34 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0))
% 59.77/32.31  						|
% 59.77/32.31  						| Instantiating formula (34) with all_26_0_30, all_24_0_28, all_24_1_29, all_24_1_29, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, yields:
% 59.77/32.31  						| (208) all_26_0_30 = 0 | all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.31  						|
% 59.77/32.31  						| Instantiating formula (34) with all_24_0_28, all_26_0_30, all_24_1_29, all_24_1_29, all_0_0_0, all_0_5_5 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, yields:
% 59.77/32.31  						| (209) all_26_0_30 = 0 | all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.31  						|
% 59.77/32.31  						| Instantiating formula (34) with all_26_0_30, all_36_0_40, all_24_1_29, all_0_1_1, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, yields:
% 59.77/32.31  						| (210) all_36_0_40 = 0 | all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.31  						|
% 59.77/32.31  						| Instantiating formula (34) with all_36_0_40, all_26_0_30, all_0_1_1, all_24_1_29, all_0_0_0, all_0_5_5 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, yields:
% 59.77/32.31  						| (211) all_36_0_40 = 0 | all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.31  						|
% 59.77/32.31  						| Instantiating formula (55) with all_26_0_30, all_36_0_40, all_0_1_1, all_24_1_29, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, yields:
% 59.77/32.31  						| (212) all_36_0_40 = 0 | all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.31  						|
% 59.77/32.31  						| Instantiating formula (55) with all_36_0_40, all_26_0_30, all_24_1_29, all_0_1_1, all_0_0_0, all_0_5_5 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, yields:
% 59.77/32.31  						| (213) all_36_0_40 = 0 | all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.31  						|
% 59.77/32.31  						| Instantiating formula (34) with all_26_0_30, all_32_0_36, all_24_1_29, all_0_2_2, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, yields:
% 59.77/32.32  						| (214) all_32_0_36 = 0 | all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.32  						|
% 59.77/32.32  						| Instantiating formula (34) with all_32_0_36, all_26_0_30, all_0_2_2, all_24_1_29, all_0_0_0, all_0_5_5 and discharging atoms apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, yields:
% 59.77/32.32  						| (215) all_32_0_36 = 0 | all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.32  						|
% 59.77/32.32  						| Instantiating formula (55) with all_26_0_30, all_32_0_36, all_0_2_2, all_24_1_29, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, yields:
% 59.77/32.32  						| (216) all_32_0_36 = 0 | all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.32  						|
% 59.77/32.32  						| Instantiating formula (55) with all_32_0_36, all_26_0_30, all_24_1_29, all_0_2_2, all_0_0_0, all_0_5_5 and discharging atoms apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, yields:
% 59.77/32.32  						| (217) all_32_0_36 = 0 | all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.32  						|
% 59.77/32.32  						| Instantiating formula (34) with all_26_0_30, all_28_0_32, all_24_1_29, all_0_1_1, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32, apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, yields:
% 59.77/32.32  						| (218) all_28_0_32 = 0 | all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 59.77/32.32  						|
% 59.77/32.32  						| Instantiating formula (34) with all_26_0_30, all_30_0_34, all_24_1_29, all_0_2_2, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34, apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, yields:
% 59.77/32.32  						| (219) all_30_0_34 = 0 | all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 59.77/32.32  						|
% 59.77/32.32  						| Instantiating formula (34) with all_30_0_34, all_26_0_30, all_0_2_2, all_24_1_29, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34, apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, yields:
% 59.77/32.32  						| (220) all_30_0_34 = 0 | all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 59.77/32.32  						|
% 59.77/32.32  						| Instantiating formula (52) with all_26_0_30, all_26_0_30, all_24_1_29, all_24_1_29, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 59.77/32.32  						| (221) all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_24_1_29) = v0))
% 59.77/32.32  						|
% 59.77/32.32  						| Instantiating formula (10) with all_26_0_30, all_26_0_30, all_24_1_29, all_24_1_29, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 59.77/32.32  						| (222) all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_24_1_29) = v0))
% 59.77/32.32  						|
% 59.77/32.32  						| Instantiating formula (10) with all_26_0_30, all_26_0_30, all_24_1_29, all_24_1_29, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 59.77/32.32  						| (223) all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_24_1_29) = v0))
% 59.77/32.32  						|
% 59.77/32.32  						| Instantiating formula (34) with all_26_0_30, all_26_0_30, all_24_1_29, all_24_1_29, all_0_5_5, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, yields:
% 59.77/32.32  						| (224) all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 59.77/32.32  						|
% 59.77/32.32  						| Instantiating formula (34) with all_22_0_26, all_24_0_28, all_0_1_1, all_24_1_29, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, yields:
% 59.77/32.32  						| (225) all_24_0_28 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.32  						|
% 59.77/32.32  						| Instantiating formula (34) with all_24_0_28, all_22_0_26, all_24_1_29, all_0_1_1, all_0_0_0, all_0_5_5 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, yields:
% 59.77/32.32  						| (226) all_24_0_28 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.32  						|
% 59.77/32.32  						| Instantiating formula (55) with all_22_0_26, all_24_0_28, all_24_1_29, all_0_1_1, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, yields:
% 59.77/32.32  						| (227) all_24_0_28 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.32  						|
% 59.77/32.32  						| Instantiating formula (55) with all_24_0_28, all_22_0_26, all_0_1_1, all_24_1_29, all_0_0_0, all_0_5_5 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, yields:
% 59.77/32.32  						| (228) all_24_0_28 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.32  						|
% 59.77/32.32  						| Instantiating formula (34) with all_22_0_26, all_36_0_40, all_0_1_1, all_0_1_1, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, yields:
% 59.77/32.32  						| (229) all_36_0_40 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.33  						|
% 59.77/32.33  						| Instantiating formula (34) with all_36_0_40, all_22_0_26, all_0_1_1, all_0_1_1, all_0_0_0, all_0_5_5 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, yields:
% 59.77/32.33  						| (230) all_36_0_40 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.33  						|
% 59.77/32.33  						| Instantiating formula (34) with all_22_0_26, all_32_0_36, all_0_1_1, all_0_2_2, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, yields:
% 59.77/32.33  						| (231) all_32_0_36 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.33  						|
% 59.77/32.33  						| Instantiating formula (34) with all_32_0_36, all_22_0_26, all_0_2_2, all_0_1_1, all_0_0_0, all_0_5_5 and discharging atoms apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, yields:
% 59.77/32.33  						| (232) all_32_0_36 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.33  						|
% 59.77/32.33  						| Instantiating formula (55) with all_22_0_26, all_32_0_36, all_0_2_2, all_0_1_1, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, yields:
% 59.77/32.33  						| (233) all_32_0_36 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.33  						|
% 59.77/32.33  						| Instantiating formula (55) with all_32_0_36, all_22_0_26, all_0_1_1, all_0_2_2, all_0_0_0, all_0_5_5 and discharging atoms apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, yields:
% 59.77/32.33  						| (234) all_32_0_36 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.33  						|
% 59.77/32.33  						| Instantiating formula (34) with all_22_0_26, all_28_0_32, all_0_1_1, all_0_1_1, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, yields:
% 59.77/32.33  						| (235) all_28_0_32 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 59.77/32.33  						|
% 59.77/32.33  						| Instantiating formula (34) with all_28_0_32, all_22_0_26, all_0_1_1, all_0_1_1, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, yields:
% 59.77/32.33  						| (236) all_28_0_32 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0))
% 59.77/32.33  						|
% 59.77/32.33  						| Instantiating formula (34) with all_22_0_26, all_30_0_34, all_0_1_1, all_0_2_2, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, yields:
% 59.77/32.33  						| (237) all_30_0_34 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 59.77/32.33  						|
% 59.77/32.33  						| Instantiating formula (34) with all_30_0_34, all_22_0_26, all_0_2_2, all_0_1_1, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, yields:
% 59.77/32.33  						| (238) all_30_0_34 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 59.77/32.33  						|
% 59.77/32.33  						| Instantiating formula (55) with all_22_0_26, all_30_0_34, all_0_2_2, all_0_1_1, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, yields:
% 59.77/32.33  						| (239) all_30_0_34 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 59.77/32.33  						|
% 59.77/32.33  						| Instantiating formula (55) with all_30_0_34, all_22_0_26, all_0_1_1, all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, yields:
% 59.77/32.33  						| (240) all_30_0_34 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 59.77/32.33  						|
% 59.77/32.33  						| Instantiating formula (52) with all_22_0_26, all_26_0_30, all_0_1_1, all_24_1_29, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 59.77/32.33  						| (241) all_26_0_30 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0))
% 59.77/32.33  						|
% 59.77/32.33  						| Instantiating formula (52) with all_26_0_30, all_22_0_26, all_24_1_29, all_0_1_1, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 59.77/32.33  						| (242) all_26_0_30 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0))
% 59.77/32.33  						|
% 59.77/32.33  						| Instantiating formula (10) with all_22_0_26, all_26_0_30, all_0_1_1, all_24_1_29, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 59.77/32.33  						| (243) all_26_0_30 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0))
% 59.77/32.33  						|
% 59.77/32.33  						| Instantiating formula (10) with all_26_0_30, all_22_0_26, all_24_1_29, all_0_1_1, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 59.77/32.33  						| (244) all_26_0_30 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0))
% 59.77/32.33  						|
% 59.77/32.33  						| Instantiating formula (10) with all_22_0_26, all_26_0_30, all_0_1_1, all_24_1_29, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 59.77/32.33  						| (245) all_26_0_30 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0))
% 59.77/32.33  						|
% 59.77/32.33  						| Instantiating formula (10) with all_26_0_30, all_22_0_26, all_24_1_29, all_0_1_1, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 59.77/32.33  						| (246) all_26_0_30 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0))
% 59.77/32.33  						|
% 59.77/32.33  						| Instantiating formula (34) with all_22_0_26, all_26_0_30, all_0_1_1, all_24_1_29, all_0_5_5, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, yields:
% 59.77/32.33  						| (247) all_26_0_30 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 59.77/32.34  						|
% 59.77/32.34  						| Instantiating formula (34) with all_26_0_30, all_22_0_26, all_24_1_29, all_0_1_1, all_0_5_5, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, yields:
% 59.77/32.34  						| (248) all_26_0_30 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 59.77/32.34  						|
% 59.77/32.34  						| Instantiating formula (52) with all_22_0_26, all_22_0_26, all_0_1_1, all_0_1_1, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 59.77/32.34  						| (249) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0))
% 59.77/32.34  						|
% 59.77/32.34  						| Instantiating formula (10) with all_22_0_26, all_22_0_26, all_0_1_1, all_0_1_1, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 59.77/32.34  						| (250) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0))
% 59.77/32.34  						|
% 59.77/32.34  						| Instantiating formula (10) with all_22_0_26, all_22_0_26, all_0_1_1, all_0_1_1, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 59.77/32.34  						| (251) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0))
% 59.77/32.34  						|
% 59.77/32.34  						| Instantiating formula (34) with all_22_0_26, all_22_0_26, all_0_1_1, all_0_1_1, all_0_5_5, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, yields:
% 59.77/32.34  						| (252) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 59.77/32.34  						|
% 59.77/32.34  						| Instantiating formula (34) with all_20_0_24, all_24_0_28, all_0_2_2, all_24_1_29, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 59.77/32.34  						| (253) all_24_0_28 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.34  						|
% 59.77/32.34  						| Instantiating formula (34) with all_24_0_28, all_20_0_24, all_24_1_29, all_0_2_2, all_0_0_0, all_0_5_5 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 59.77/32.34  						| (254) all_24_0_28 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.34  						|
% 59.77/32.34  						| Instantiating formula (55) with all_20_0_24, all_24_0_28, all_24_1_29, all_0_2_2, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 59.77/32.34  						| (255) all_24_0_28 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.34  						|
% 59.77/32.34  						| Instantiating formula (55) with all_24_0_28, all_20_0_24, all_0_2_2, all_24_1_29, all_0_0_0, all_0_5_5 and discharging atoms apart_point_and_line(all_0_0_0, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 59.77/32.34  						| (256) all_24_0_28 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.34  						|
% 59.77/32.34  						| Instantiating formula (34) with all_20_0_24, all_36_0_40, all_0_2_2, all_0_1_1, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 59.77/32.34  						| (257) all_36_0_40 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.34  						|
% 59.77/32.34  						| Instantiating formula (34) with all_36_0_40, all_20_0_24, all_0_1_1, all_0_2_2, all_0_0_0, all_0_5_5 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 59.77/32.34  						| (258) all_36_0_40 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.34  						|
% 59.77/32.34  						| Instantiating formula (55) with all_20_0_24, all_36_0_40, all_0_1_1, all_0_2_2, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 59.77/32.34  						| (259) all_36_0_40 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.34  						|
% 59.77/32.34  						| Instantiating formula (55) with all_36_0_40, all_20_0_24, all_0_2_2, all_0_1_1, all_0_0_0, all_0_5_5 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 59.77/32.34  						| (260) all_36_0_40 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.34  						|
% 59.77/32.34  						| Instantiating formula (34) with all_20_0_24, all_32_0_36, all_0_2_2, all_0_2_2, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 59.77/32.34  						| (261) all_32_0_36 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.34  						|
% 59.77/32.34  						| Instantiating formula (34) with all_32_0_36, all_20_0_24, all_0_2_2, all_0_2_2, all_0_0_0, all_0_5_5 and discharging atoms apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 59.77/32.34  						| (262) all_32_0_36 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.34  						|
% 59.77/32.34  						| Instantiating formula (34) with all_20_0_24, all_28_0_32, all_0_2_2, all_0_1_1, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 59.77/32.34  						| (263) all_28_0_32 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 59.77/32.34  						|
% 59.77/32.34  						| Instantiating formula (34) with all_28_0_32, all_20_0_24, all_0_1_1, all_0_2_2, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 59.77/32.34  						| (264) all_28_0_32 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0))
% 59.77/32.34  						|
% 59.77/32.34  						| Instantiating formula (55) with all_20_0_24, all_28_0_32, all_0_1_1, all_0_2_2, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 59.77/32.34  						| (265) all_28_0_32 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 59.77/32.34  						|
% 59.77/32.34  						| Instantiating formula (55) with all_28_0_32, all_20_0_24, all_0_2_2, all_0_1_1, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_0_1_1) = all_28_0_32, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 59.77/32.34  						| (266) all_28_0_32 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0))
% 59.77/32.34  						|
% 59.77/32.34  						| Instantiating formula (34) with all_20_0_24, all_30_0_34, all_0_2_2, all_0_2_2, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_30_0_34, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 59.77/32.34  						| (267) all_30_0_34 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 59.77/32.34  						|
% 59.77/32.34  						| Instantiating formula (52) with all_20_0_24, all_26_0_30, all_0_2_2, all_24_1_29, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 59.77/32.34  						| (268) all_26_0_30 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0))
% 59.77/32.35  						|
% 59.77/32.35  						| Instantiating formula (52) with all_26_0_30, all_20_0_24, all_24_1_29, all_0_2_2, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 59.77/32.35  						| (269) all_26_0_30 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0))
% 59.77/32.35  						|
% 59.77/32.35  						| Instantiating formula (10) with all_20_0_24, all_26_0_30, all_0_2_2, all_24_1_29, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 59.77/32.35  						| (270) all_26_0_30 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0))
% 59.77/32.35  						|
% 59.77/32.35  						| Instantiating formula (10) with all_26_0_30, all_20_0_24, all_24_1_29, all_0_2_2, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 59.77/32.35  						| (271) all_26_0_30 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0))
% 59.77/32.35  						|
% 59.77/32.35  						| Instantiating formula (10) with all_20_0_24, all_26_0_30, all_0_2_2, all_24_1_29, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 59.77/32.35  						| (272) all_26_0_30 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0))
% 59.77/32.35  						|
% 59.77/32.35  						| Instantiating formula (10) with all_26_0_30, all_20_0_24, all_24_1_29, all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 59.77/32.35  						| (273) all_26_0_30 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0))
% 59.77/32.35  						|
% 59.77/32.35  						| Instantiating formula (34) with all_20_0_24, all_26_0_30, all_0_2_2, all_24_1_29, all_0_5_5, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 59.77/32.35  						| (274) all_26_0_30 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 59.77/32.35  						|
% 59.77/32.35  						| Instantiating formula (34) with all_26_0_30, all_20_0_24, all_24_1_29, all_0_2_2, all_0_5_5, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_24_1_29) = all_26_0_30, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 59.77/32.35  						| (275) all_26_0_30 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 59.77/32.35  						|
% 59.77/32.35  						| Instantiating formula (52) with all_20_0_24, all_22_0_26, all_0_2_2, all_0_1_1, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 59.77/32.35  						| (276) all_22_0_26 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0))
% 59.77/32.35  						|
% 59.77/32.35  						| Instantiating formula (52) with all_22_0_26, all_20_0_24, all_0_1_1, all_0_2_2, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 59.77/32.35  						| (277) all_22_0_26 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0))
% 59.77/32.35  						|
% 59.77/32.35  						| Instantiating formula (10) with all_20_0_24, all_22_0_26, all_0_2_2, all_0_1_1, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 59.77/32.35  						| (278) all_22_0_26 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0))
% 59.77/32.35  						|
% 59.77/32.35  						| Instantiating formula (10) with all_22_0_26, all_20_0_24, all_0_1_1, all_0_2_2, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 59.77/32.35  						| (279) all_22_0_26 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0))
% 59.77/32.35  						|
% 59.77/32.35  						| Instantiating formula (10) with all_20_0_24, all_22_0_26, all_0_2_2, all_0_1_1, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 59.77/32.35  						| (280) all_22_0_26 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0))
% 59.77/32.35  						|
% 59.77/32.35  						| Instantiating formula (10) with all_22_0_26, all_20_0_24, all_0_1_1, all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 59.77/32.35  						| (281) all_22_0_26 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0))
% 59.77/32.35  						|
% 59.77/32.35  						| Instantiating formula (34) with all_20_0_24, all_22_0_26, all_0_2_2, all_0_1_1, all_0_5_5, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 59.77/32.35  						| (282) all_22_0_26 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 59.77/32.35  						|
% 59.77/32.35  						| Instantiating formula (34) with all_22_0_26, all_20_0_24, all_0_1_1, all_0_2_2, all_0_5_5, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 59.77/32.35  						| (283) all_22_0_26 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 59.77/32.35  						|
% 59.77/32.35  						| Instantiating formula (52) with all_20_0_24, all_20_0_24, all_0_2_2, all_0_2_2, all_0_5_5, all_0_0_0 and discharging atoms apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 59.77/32.35  						| (284) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0))
% 59.77/32.35  						|
% 59.77/32.35  						| Instantiating formula (10) with all_20_0_24, all_20_0_24, all_0_2_2, all_0_2_2, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 59.77/32.35  						| (285) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0))
% 59.77/32.35  						|
% 59.77/32.35  						| Instantiating formula (10) with all_20_0_24, all_20_0_24, all_0_2_2, all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 59.77/32.35  						| (286) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0))
% 59.77/32.35  						|
% 59.77/32.35  						| Instantiating formula (34) with all_20_0_24, all_20_0_24, all_0_2_2, all_0_2_2, all_0_5_5, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 59.77/32.35  						| (287) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 59.77/32.35  						|
% 59.77/32.35  						+-Applying beta-rule and splitting (287), into two cases.
% 59.77/32.35  						|-Branch one:
% 59.77/32.35  						| (288) all_20_0_24 = 0
% 59.77/32.35  						|
% 59.77/32.35  							| Equations (288) can reduce 72 to:
% 59.77/32.35  							| (289) $false
% 59.77/32.35  							|
% 59.77/32.35  							|-The branch is then unsatisfiable
% 59.77/32.35  						|-Branch two:
% 59.77/32.35  						| (72)  ~ (all_20_0_24 = 0)
% 59.77/32.35  						| (291)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 59.77/32.35  						|
% 59.77/32.35  							+-Applying beta-rule and splitting (181), into two cases.
% 59.77/32.35  							|-Branch one:
% 59.77/32.35  							| (292) all_32_0_36 = 0
% 59.77/32.35  							|
% 59.77/32.35  								| Equations (292) can reduce 96 to:
% 59.77/32.35  								| (289) $false
% 59.77/32.35  								|
% 59.77/32.35  								|-The branch is then unsatisfiable
% 59.77/32.35  							|-Branch two:
% 59.77/32.35  							| (96)  ~ (all_32_0_36 = 0)
% 59.77/32.35  							| (295)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0))
% 59.77/32.35  							|
% 59.77/32.35  								+-Applying beta-rule and splitting (182), into two cases.
% 59.77/32.35  								|-Branch one:
% 59.77/32.35  								| (292) all_32_0_36 = 0
% 59.77/32.35  								|
% 59.77/32.35  									| Equations (292) can reduce 96 to:
% 59.77/32.35  									| (289) $false
% 59.77/32.35  									|
% 59.77/32.35  									|-The branch is then unsatisfiable
% 59.77/32.35  								|-Branch two:
% 59.77/32.35  								| (96)  ~ (all_32_0_36 = 0)
% 59.77/32.35  								| (299)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_0_0) = v0))
% 59.77/32.36  								|
% 59.77/32.36  									+-Applying beta-rule and splitting (165), into two cases.
% 59.77/32.36  									|-Branch one:
% 59.77/32.36  									| (300) all_24_0_28 = 0
% 59.77/32.36  									|
% 59.77/32.36  										| Equations (300) can reduce 80 to:
% 59.77/32.36  										| (289) $false
% 59.77/32.36  										|
% 59.77/32.36  										|-The branch is then unsatisfiable
% 59.77/32.36  									|-Branch two:
% 59.77/32.36  									| (80)  ~ (all_24_0_28 = 0)
% 59.77/32.36  									| (303)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_24_1_29) = v0))
% 59.77/32.36  									|
% 59.77/32.36  										+-Applying beta-rule and splitting (166), into two cases.
% 59.77/32.36  										|-Branch one:
% 59.77/32.36  										| (300) all_24_0_28 = 0
% 59.77/32.36  										|
% 59.77/32.36  											| Equations (300) can reduce 80 to:
% 59.77/32.36  											| (289) $false
% 59.77/32.36  											|
% 59.77/32.36  											|-The branch is then unsatisfiable
% 59.77/32.36  										|-Branch two:
% 59.77/32.36  										| (80)  ~ (all_24_0_28 = 0)
% 59.77/32.36  										| (307)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_0_0) = v0))
% 59.77/32.36  										|
% 59.77/32.36  											+-Applying beta-rule and splitting (171), into two cases.
% 59.77/32.36  											|-Branch one:
% 59.77/32.36  											| (308) all_36_0_40 = 0
% 59.77/32.36  											|
% 59.77/32.36  												| Equations (308) can reduce 102 to:
% 59.77/32.36  												| (289) $false
% 59.77/32.36  												|
% 59.77/32.36  												|-The branch is then unsatisfiable
% 59.77/32.36  											|-Branch two:
% 59.77/32.36  											| (102)  ~ (all_36_0_40 = 0)
% 59.77/32.36  											| (311)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0))
% 59.77/32.36  											|
% 59.77/32.36  												+-Applying beta-rule and splitting (172), into two cases.
% 59.77/32.36  												|-Branch one:
% 59.77/32.36  												| (308) all_36_0_40 = 0
% 59.77/32.36  												|
% 59.77/32.36  													| Equations (308) can reduce 102 to:
% 59.77/32.36  													| (289) $false
% 59.77/32.36  													|
% 59.77/32.36  													|-The branch is then unsatisfiable
% 59.77/32.36  												|-Branch two:
% 59.77/32.36  												| (102)  ~ (all_36_0_40 = 0)
% 59.77/32.36  												| (315)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_0_0) = v0))
% 59.77/32.36  												|
% 59.77/32.36  													+-Applying beta-rule and splitting (193), into two cases.
% 59.77/32.36  													|-Branch one:
% 59.77/32.36  													| (316) all_28_0_32 = 0
% 59.77/32.36  													|
% 59.77/32.36  														| Equations (316) can reduce 88 to:
% 59.77/32.36  														| (289) $false
% 59.77/32.36  														|
% 59.77/32.36  														|-The branch is then unsatisfiable
% 59.77/32.36  													|-Branch two:
% 59.77/32.36  													| (88)  ~ (all_28_0_32 = 0)
% 59.77/32.36  													| (311)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0))
% 59.77/32.36  													|
% 59.77/32.36  														+-Applying beta-rule and splitting (194), into two cases.
% 59.77/32.36  														|-Branch one:
% 59.77/32.36  														| (316) all_28_0_32 = 0
% 59.77/32.36  														|
% 59.77/32.36  															| Equations (316) can reduce 88 to:
% 59.77/32.36  															| (289) $false
% 59.77/32.36  															|
% 59.77/32.36  															|-The branch is then unsatisfiable
% 59.77/32.36  														|-Branch two:
% 59.77/32.36  														| (88)  ~ (all_28_0_32 = 0)
% 59.77/32.36  														| (323)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0))
% 59.77/32.36  														|
% 59.77/32.36  															+-Applying beta-rule and splitting (206), into two cases.
% 59.77/32.36  															|-Branch one:
% 59.77/32.36  															| (324) all_30_0_34 = 0
% 59.77/32.36  															|
% 59.77/32.36  																| Equations (324) can reduce 92 to:
% 59.77/32.36  																| (289) $false
% 59.77/32.36  																|
% 59.77/32.36  																|-The branch is then unsatisfiable
% 59.77/32.36  															|-Branch two:
% 59.77/32.36  															| (92)  ~ (all_30_0_34 = 0)
% 59.77/32.36  															| (295)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0))
% 59.77/32.36  															|
% 59.77/32.36  																+-Applying beta-rule and splitting (207), into two cases.
% 59.77/32.36  																|-Branch one:
% 59.77/32.36  																| (324) all_30_0_34 = 0
% 59.77/32.36  																|
% 59.77/32.36  																	| Equations (324) can reduce 92 to:
% 59.77/32.36  																	| (289) $false
% 59.77/32.36  																	|
% 59.77/32.36  																	|-The branch is then unsatisfiable
% 59.77/32.36  																|-Branch two:
% 59.77/32.36  																| (92)  ~ (all_30_0_34 = 0)
% 59.77/32.36  																| (331)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0))
% 59.77/32.36  																|
% 59.77/32.36  																	+-Applying beta-rule and splitting (249), into two cases.
% 59.77/32.36  																	|-Branch one:
% 59.77/32.36  																	| (332) all_22_0_26 = 0
% 59.77/32.36  																	|
% 59.77/32.36  																		| Equations (332) can reduce 76 to:
% 59.77/32.36  																		| (289) $false
% 59.77/32.36  																		|
% 59.77/32.36  																		|-The branch is then unsatisfiable
% 59.77/32.36  																	|-Branch two:
% 59.77/32.36  																	| (76)  ~ (all_22_0_26 = 0)
% 59.77/32.36  																	| (335)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0))
% 59.77/32.36  																	|
% 59.77/32.36  																		+-Applying beta-rule and splitting (250), into two cases.
% 59.77/32.36  																		|-Branch one:
% 59.77/32.36  																		| (332) all_22_0_26 = 0
% 59.77/32.36  																		|
% 59.77/32.36  																			| Equations (332) can reduce 76 to:
% 59.77/32.36  																			| (289) $false
% 59.77/32.36  																			|
% 59.77/32.36  																			|-The branch is then unsatisfiable
% 59.77/32.36  																		|-Branch two:
% 59.77/32.36  																		| (76)  ~ (all_22_0_26 = 0)
% 59.77/32.36  																		| (339)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0))
% 59.77/32.36  																		|
% 59.77/32.36  																			+-Applying beta-rule and splitting (221), into two cases.
% 59.77/32.36  																			|-Branch one:
% 59.77/32.36  																			| (340) all_26_0_30 = 0
% 59.77/32.36  																			|
% 59.77/32.36  																				| Equations (340) can reduce 84 to:
% 59.77/32.36  																				| (289) $false
% 59.77/32.36  																				|
% 59.77/32.36  																				|-The branch is then unsatisfiable
% 59.77/32.36  																			|-Branch two:
% 59.77/32.36  																			| (84)  ~ (all_26_0_30 = 0)
% 59.77/32.36  																			| (343)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_24_1_29) = v0))
% 59.77/32.36  																			|
% 59.77/32.36  																				+-Applying beta-rule and splitting (222), into two cases.
% 59.77/32.36  																				|-Branch one:
% 59.77/32.36  																				| (340) all_26_0_30 = 0
% 59.77/32.36  																				|
% 59.77/32.36  																					| Equations (340) can reduce 84 to:
% 59.77/32.36  																					| (289) $false
% 59.77/32.36  																					|
% 59.77/32.36  																					|-The branch is then unsatisfiable
% 59.77/32.36  																				|-Branch two:
% 59.77/32.36  																				| (84)  ~ (all_26_0_30 = 0)
% 59.77/32.36  																				| (347)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_24_1_29) = v0))
% 59.77/32.36  																				|
% 59.77/32.36  																					+-Applying beta-rule and splitting (223), into two cases.
% 59.77/32.36  																					|-Branch one:
% 59.77/32.36  																					| (340) all_26_0_30 = 0
% 59.77/32.36  																					|
% 59.77/32.36  																						| Equations (340) can reduce 84 to:
% 59.77/32.36  																						| (289) $false
% 59.77/32.36  																						|
% 59.77/32.36  																						|-The branch is then unsatisfiable
% 59.77/32.36  																					|-Branch two:
% 59.77/32.36  																					| (84)  ~ (all_26_0_30 = 0)
% 59.77/32.36  																					| (351)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_24_1_29) = v0))
% 59.77/32.36  																					|
% 59.77/32.36  																						+-Applying beta-rule and splitting (224), into two cases.
% 59.77/32.36  																						|-Branch one:
% 59.77/32.36  																						| (340) all_26_0_30 = 0
% 59.77/32.36  																						|
% 59.77/32.36  																							| Equations (340) can reduce 84 to:
% 59.77/32.36  																							| (289) $false
% 59.77/32.36  																							|
% 59.77/32.36  																							|-The branch is then unsatisfiable
% 59.77/32.36  																						|-Branch two:
% 59.77/32.36  																						| (84)  ~ (all_26_0_30 = 0)
% 59.77/32.36  																						| (355)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 59.77/32.36  																						|
% 59.77/32.36  																							+-Applying beta-rule and splitting (251), into two cases.
% 59.77/32.36  																							|-Branch one:
% 59.77/32.36  																							| (332) all_22_0_26 = 0
% 59.77/32.36  																							|
% 59.77/32.36  																								| Equations (332) can reduce 76 to:
% 59.77/32.36  																								| (289) $false
% 59.77/32.36  																								|
% 59.77/32.36  																								|-The branch is then unsatisfiable
% 59.77/32.36  																							|-Branch two:
% 59.77/32.36  																							| (76)  ~ (all_22_0_26 = 0)
% 59.77/32.36  																							| (359)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0))
% 59.77/32.36  																							|
% 59.77/32.36  																								+-Applying beta-rule and splitting (252), into two cases.
% 59.77/32.36  																								|-Branch one:
% 59.77/32.36  																								| (332) all_22_0_26 = 0
% 59.77/32.36  																								|
% 59.77/32.36  																									| Equations (332) can reduce 76 to:
% 59.77/32.36  																									| (289) $false
% 59.77/32.36  																									|
% 59.77/32.36  																									|-The branch is then unsatisfiable
% 59.77/32.36  																								|-Branch two:
% 59.77/32.36  																								| (76)  ~ (all_22_0_26 = 0)
% 59.77/32.36  																								| (363)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 59.77/32.36  																								|
% 59.77/32.36  																									+-Applying beta-rule and splitting (284), into two cases.
% 59.77/32.36  																									|-Branch one:
% 59.77/32.36  																									| (288) all_20_0_24 = 0
% 59.77/32.36  																									|
% 59.77/32.36  																										| Equations (288) can reduce 72 to:
% 59.77/32.36  																										| (289) $false
% 59.77/32.36  																										|
% 59.77/32.36  																										|-The branch is then unsatisfiable
% 59.77/32.36  																									|-Branch two:
% 59.77/32.36  																									| (72)  ~ (all_20_0_24 = 0)
% 59.77/32.36  																									| (367)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0))
% 59.77/32.36  																									|
% 59.77/32.36  																										+-Applying beta-rule and splitting (285), into two cases.
% 59.77/32.36  																										|-Branch one:
% 59.77/32.36  																										| (288) all_20_0_24 = 0
% 59.77/32.36  																										|
% 59.77/32.36  																											| Equations (288) can reduce 72 to:
% 59.77/32.36  																											| (289) $false
% 59.77/32.36  																											|
% 59.77/32.36  																											|-The branch is then unsatisfiable
% 59.77/32.36  																										|-Branch two:
% 59.77/32.36  																										| (72)  ~ (all_20_0_24 = 0)
% 59.77/32.36  																										| (371)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0))
% 59.77/32.36  																										|
% 59.77/32.36  																											+-Applying beta-rule and splitting (286), into two cases.
% 59.77/32.36  																											|-Branch one:
% 59.77/32.36  																											| (288) all_20_0_24 = 0
% 59.77/32.36  																											|
% 59.77/32.36  																												| Equations (288) can reduce 72 to:
% 59.77/32.36  																												| (289) $false
% 59.77/32.36  																												|
% 59.77/32.36  																												|-The branch is then unsatisfiable
% 59.77/32.36  																											|-Branch two:
% 59.77/32.36  																											| (72)  ~ (all_20_0_24 = 0)
% 59.77/32.36  																											| (375)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0))
% 59.77/32.36  																											|
% 59.77/32.36  																												+-Applying beta-rule and splitting (229), into two cases.
% 59.77/32.36  																												|-Branch one:
% 59.77/32.36  																												| (308) all_36_0_40 = 0
% 59.77/32.36  																												|
% 59.77/32.36  																													| Equations (308) can reduce 102 to:
% 59.77/32.36  																													| (289) $false
% 59.77/32.36  																													|
% 59.77/32.36  																													|-The branch is then unsatisfiable
% 59.77/32.36  																												|-Branch two:
% 59.77/32.36  																												| (102)  ~ (all_36_0_40 = 0)
% 59.77/32.36  																												| (379) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.36  																												|
% 59.77/32.36  																													+-Applying beta-rule and splitting (230), into two cases.
% 59.77/32.36  																													|-Branch one:
% 59.77/32.36  																													| (308) all_36_0_40 = 0
% 59.77/32.36  																													|
% 59.77/32.36  																														| Equations (308) can reduce 102 to:
% 59.77/32.36  																														| (289) $false
% 59.77/32.36  																														|
% 59.77/32.36  																														|-The branch is then unsatisfiable
% 59.77/32.36  																													|-Branch two:
% 59.77/32.36  																													| (102)  ~ (all_36_0_40 = 0)
% 59.77/32.36  																													| (383) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.36  																													|
% 59.77/32.36  																														+-Applying beta-rule and splitting (231), into two cases.
% 59.77/32.36  																														|-Branch one:
% 59.77/32.36  																														| (292) all_32_0_36 = 0
% 59.77/32.36  																														|
% 59.77/32.36  																															| Equations (292) can reduce 96 to:
% 59.77/32.36  																															| (289) $false
% 59.77/32.36  																															|
% 59.77/32.36  																															|-The branch is then unsatisfiable
% 59.77/32.36  																														|-Branch two:
% 59.77/32.36  																														| (96)  ~ (all_32_0_36 = 0)
% 59.77/32.36  																														| (387) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.37  																														|
% 59.77/32.37  																															+-Applying beta-rule and splitting (253), into two cases.
% 59.77/32.37  																															|-Branch one:
% 59.77/32.37  																															| (300) all_24_0_28 = 0
% 59.77/32.37  																															|
% 59.77/32.37  																																| Equations (300) can reduce 80 to:
% 59.77/32.37  																																| (289) $false
% 59.77/32.37  																																|
% 59.77/32.37  																																|-The branch is then unsatisfiable
% 59.77/32.37  																															|-Branch two:
% 59.77/32.37  																															| (80)  ~ (all_24_0_28 = 0)
% 59.77/32.37  																															| (391) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.37  																															|
% 59.77/32.37  																																+-Applying beta-rule and splitting (254), into two cases.
% 59.77/32.37  																																|-Branch one:
% 59.77/32.37  																																| (300) all_24_0_28 = 0
% 59.77/32.37  																																|
% 59.77/32.37  																																	| Equations (300) can reduce 80 to:
% 59.77/32.37  																																	| (289) $false
% 59.77/32.37  																																	|
% 59.77/32.37  																																	|-The branch is then unsatisfiable
% 59.77/32.37  																																|-Branch two:
% 59.77/32.37  																																| (80)  ~ (all_24_0_28 = 0)
% 59.77/32.37  																																| (395) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.37  																																|
% 59.77/32.37  																																	+-Applying beta-rule and splitting (255), into two cases.
% 59.77/32.37  																																	|-Branch one:
% 59.77/32.37  																																	| (300) all_24_0_28 = 0
% 59.77/32.37  																																	|
% 59.77/32.37  																																		| Equations (300) can reduce 80 to:
% 59.77/32.37  																																		| (289) $false
% 59.77/32.37  																																		|
% 59.77/32.37  																																		|-The branch is then unsatisfiable
% 59.77/32.37  																																	|-Branch two:
% 59.77/32.37  																																	| (80)  ~ (all_24_0_28 = 0)
% 59.77/32.37  																																	| (399) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.37  																																	|
% 59.77/32.37  																																		+-Applying beta-rule and splitting (256), into two cases.
% 59.77/32.37  																																		|-Branch one:
% 59.77/32.37  																																		| (300) all_24_0_28 = 0
% 59.77/32.37  																																		|
% 59.77/32.37  																																			| Equations (300) can reduce 80 to:
% 59.77/32.37  																																			| (289) $false
% 59.77/32.37  																																			|
% 59.77/32.37  																																			|-The branch is then unsatisfiable
% 59.77/32.37  																																		|-Branch two:
% 59.77/32.37  																																		| (80)  ~ (all_24_0_28 = 0)
% 59.77/32.37  																																		| (403) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.37  																																		|
% 59.77/32.37  																																			+-Applying beta-rule and splitting (225), into two cases.
% 59.77/32.37  																																			|-Branch one:
% 59.77/32.37  																																			| (300) all_24_0_28 = 0
% 59.77/32.37  																																			|
% 59.77/32.37  																																				| Equations (300) can reduce 80 to:
% 59.77/32.37  																																				| (289) $false
% 59.77/32.37  																																				|
% 59.77/32.37  																																				|-The branch is then unsatisfiable
% 59.77/32.37  																																			|-Branch two:
% 59.77/32.37  																																			| (80)  ~ (all_24_0_28 = 0)
% 59.77/32.37  																																			| (407) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.37  																																			|
% 59.77/32.37  																																				+-Applying beta-rule and splitting (232), into two cases.
% 59.77/32.37  																																				|-Branch one:
% 59.77/32.37  																																				| (292) all_32_0_36 = 0
% 59.77/32.37  																																				|
% 59.77/32.37  																																					| Equations (292) can reduce 96 to:
% 59.77/32.37  																																					| (289) $false
% 59.77/32.37  																																					|
% 59.77/32.37  																																					|-The branch is then unsatisfiable
% 59.77/32.37  																																				|-Branch two:
% 59.77/32.37  																																				| (96)  ~ (all_32_0_36 = 0)
% 59.77/32.37  																																				| (411) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.37  																																				|
% 59.77/32.37  																																					+-Applying beta-rule and splitting (235), into two cases.
% 59.77/32.37  																																					|-Branch one:
% 59.77/32.37  																																					| (316) all_28_0_32 = 0
% 59.77/32.37  																																					|
% 59.77/32.37  																																						| Equations (316) can reduce 88 to:
% 59.77/32.37  																																						| (289) $false
% 59.77/32.37  																																						|
% 59.77/32.37  																																						|-The branch is then unsatisfiable
% 59.77/32.37  																																					|-Branch two:
% 59.77/32.37  																																					| (88)  ~ (all_28_0_32 = 0)
% 59.77/32.37  																																					| (415) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 59.77/32.37  																																					|
% 59.77/32.37  																																						+-Applying beta-rule and splitting (245), into two cases.
% 59.77/32.37  																																						|-Branch one:
% 59.77/32.37  																																						| (340) all_26_0_30 = 0
% 59.77/32.37  																																						|
% 59.77/32.37  																																							| Equations (340) can reduce 84 to:
% 59.77/32.37  																																							| (289) $false
% 59.77/32.37  																																							|
% 59.77/32.37  																																							|-The branch is then unsatisfiable
% 59.77/32.37  																																						|-Branch two:
% 59.77/32.37  																																						| (84)  ~ (all_26_0_30 = 0)
% 59.77/32.37  																																						| (419) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0))
% 59.77/32.37  																																						|
% 59.77/32.37  																																							+-Applying beta-rule and splitting (246), into two cases.
% 59.77/32.37  																																							|-Branch one:
% 59.77/32.37  																																							| (340) all_26_0_30 = 0
% 59.77/32.37  																																							|
% 59.77/32.37  																																								| Equations (340) can reduce 84 to:
% 59.77/32.37  																																								| (289) $false
% 59.77/32.37  																																								|
% 59.77/32.37  																																								|-The branch is then unsatisfiable
% 59.77/32.37  																																							|-Branch two:
% 59.77/32.37  																																							| (84)  ~ (all_26_0_30 = 0)
% 59.77/32.37  																																							| (423) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0))
% 59.77/32.37  																																							|
% 59.77/32.37  																																								+-Applying beta-rule and splitting (248), into two cases.
% 59.77/32.37  																																								|-Branch one:
% 59.77/32.37  																																								| (340) all_26_0_30 = 0
% 59.77/32.37  																																								|
% 59.77/32.37  																																									| Equations (340) can reduce 84 to:
% 59.77/32.37  																																									| (289) $false
% 59.77/32.37  																																									|
% 59.77/32.37  																																									|-The branch is then unsatisfiable
% 59.77/32.37  																																								|-Branch two:
% 59.77/32.37  																																								| (84)  ~ (all_26_0_30 = 0)
% 59.77/32.37  																																								| (427) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 59.77/32.37  																																								|
% 59.77/32.37  																																									+-Applying beta-rule and splitting (233), into two cases.
% 59.77/32.37  																																									|-Branch one:
% 59.77/32.37  																																									| (292) all_32_0_36 = 0
% 59.77/32.37  																																									|
% 59.77/32.37  																																										| Equations (292) can reduce 96 to:
% 59.77/32.37  																																										| (289) $false
% 59.77/32.37  																																										|
% 59.77/32.37  																																										|-The branch is then unsatisfiable
% 59.77/32.37  																																									|-Branch two:
% 59.77/32.37  																																									| (96)  ~ (all_32_0_36 = 0)
% 59.77/32.37  																																									| (431) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.37  																																									|
% 59.77/32.37  																																										+-Applying beta-rule and splitting (226), into two cases.
% 59.77/32.37  																																										|-Branch one:
% 59.77/32.37  																																										| (300) all_24_0_28 = 0
% 59.77/32.37  																																										|
% 59.77/32.37  																																											| Equations (300) can reduce 80 to:
% 59.77/32.37  																																											| (289) $false
% 59.77/32.37  																																											|
% 59.77/32.37  																																											|-The branch is then unsatisfiable
% 59.77/32.37  																																										|-Branch two:
% 59.77/32.37  																																										| (80)  ~ (all_24_0_28 = 0)
% 59.77/32.37  																																										| (435) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.37  																																										|
% 59.77/32.37  																																											+-Applying beta-rule and splitting (237), into two cases.
% 59.77/32.37  																																											|-Branch one:
% 59.77/32.37  																																											| (324) all_30_0_34 = 0
% 59.77/32.37  																																											|
% 59.77/32.37  																																												| Equations (324) can reduce 92 to:
% 59.77/32.37  																																												| (289) $false
% 59.77/32.37  																																												|
% 59.77/32.37  																																												|-The branch is then unsatisfiable
% 59.77/32.37  																																											|-Branch two:
% 59.77/32.37  																																											| (92)  ~ (all_30_0_34 = 0)
% 59.77/32.37  																																											| (439) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 59.77/32.37  																																											|
% 59.77/32.37  																																												+-Applying beta-rule and splitting (210), into two cases.
% 59.77/32.37  																																												|-Branch one:
% 59.77/32.37  																																												| (308) all_36_0_40 = 0
% 59.77/32.37  																																												|
% 59.77/32.37  																																													| Equations (308) can reduce 102 to:
% 59.77/32.37  																																													| (289) $false
% 59.77/32.37  																																													|
% 59.77/32.37  																																													|-The branch is then unsatisfiable
% 59.77/32.37  																																												|-Branch two:
% 59.77/32.37  																																												| (102)  ~ (all_36_0_40 = 0)
% 59.77/32.37  																																												| (443) all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.37  																																												|
% 59.77/32.37  																																													+-Applying beta-rule and splitting (205), into two cases.
% 59.77/32.37  																																													|-Branch one:
% 59.77/32.37  																																													| (324) all_30_0_34 = 0
% 59.77/32.37  																																													|
% 59.77/32.37  																																														| Equations (324) can reduce 92 to:
% 59.77/32.37  																																														| (289) $false
% 59.77/32.37  																																														|
% 59.77/32.37  																																														|-The branch is then unsatisfiable
% 59.77/32.37  																																													|-Branch two:
% 59.77/32.37  																																													| (92)  ~ (all_30_0_34 = 0)
% 59.77/32.37  																																													| (447) all_28_0_32 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 59.77/32.37  																																													|
% 59.77/32.37  																																														+-Applying beta-rule and splitting (238), into two cases.
% 59.77/32.37  																																														|-Branch one:
% 59.77/32.37  																																														| (324) all_30_0_34 = 0
% 59.77/32.37  																																														|
% 59.77/32.37  																																															| Equations (324) can reduce 92 to:
% 59.77/32.37  																																															| (289) $false
% 59.77/32.37  																																															|
% 59.77/32.37  																																															|-The branch is then unsatisfiable
% 59.77/32.37  																																														|-Branch two:
% 59.77/32.37  																																														| (92)  ~ (all_30_0_34 = 0)
% 59.77/32.37  																																														| (451) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 59.77/32.37  																																														|
% 59.77/32.37  																																															+-Applying beta-rule and splitting (227), into two cases.
% 59.77/32.37  																																															|-Branch one:
% 59.77/32.37  																																															| (300) all_24_0_28 = 0
% 59.77/32.37  																																															|
% 59.77/32.37  																																																| Equations (300) can reduce 80 to:
% 59.77/32.37  																																																| (289) $false
% 59.77/32.37  																																																|
% 59.77/32.37  																																																|-The branch is then unsatisfiable
% 59.77/32.37  																																															|-Branch two:
% 59.77/32.37  																																															| (80)  ~ (all_24_0_28 = 0)
% 59.77/32.37  																																															| (455) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.37  																																															|
% 59.77/32.37  																																																+-Applying beta-rule and splitting (239), into two cases.
% 59.77/32.37  																																																|-Branch one:
% 59.77/32.37  																																																| (324) all_30_0_34 = 0
% 59.77/32.37  																																																|
% 59.77/32.37  																																																	| Equations (324) can reduce 92 to:
% 59.77/32.37  																																																	| (289) $false
% 59.77/32.37  																																																	|
% 59.77/32.37  																																																	|-The branch is then unsatisfiable
% 59.77/32.37  																																																|-Branch two:
% 59.77/32.37  																																																| (92)  ~ (all_30_0_34 = 0)
% 59.77/32.37  																																																| (459) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 59.77/32.37  																																																|
% 59.77/32.37  																																																	+-Applying beta-rule and splitting (234), into two cases.
% 59.77/32.37  																																																	|-Branch one:
% 59.77/32.37  																																																	| (292) all_32_0_36 = 0
% 59.77/32.37  																																																	|
% 59.77/32.37  																																																		| Equations (292) can reduce 96 to:
% 59.77/32.37  																																																		| (289) $false
% 59.77/32.37  																																																		|
% 59.77/32.37  																																																		|-The branch is then unsatisfiable
% 59.77/32.37  																																																	|-Branch two:
% 59.77/32.37  																																																	| (96)  ~ (all_32_0_36 = 0)
% 59.77/32.37  																																																	| (463) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.37  																																																	|
% 59.77/32.37  																																																		+-Applying beta-rule and splitting (240), into two cases.
% 59.77/32.37  																																																		|-Branch one:
% 59.77/32.37  																																																		| (324) all_30_0_34 = 0
% 59.77/32.37  																																																		|
% 59.77/32.37  																																																			| Equations (324) can reduce 92 to:
% 59.77/32.37  																																																			| (289) $false
% 59.77/32.37  																																																			|
% 59.77/32.37  																																																			|-The branch is then unsatisfiable
% 59.77/32.37  																																																		|-Branch two:
% 59.77/32.37  																																																		| (92)  ~ (all_30_0_34 = 0)
% 59.77/32.37  																																																		| (467) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 59.77/32.37  																																																		|
% 59.77/32.37  																																																			+-Applying beta-rule and splitting (243), into two cases.
% 59.77/32.37  																																																			|-Branch one:
% 59.77/32.37  																																																			| (340) all_26_0_30 = 0
% 59.77/32.37  																																																			|
% 59.77/32.37  																																																				| Equations (340) can reduce 84 to:
% 59.77/32.37  																																																				| (289) $false
% 59.77/32.37  																																																				|
% 59.77/32.37  																																																				|-The branch is then unsatisfiable
% 59.77/32.37  																																																			|-Branch two:
% 59.77/32.37  																																																			| (84)  ~ (all_26_0_30 = 0)
% 59.77/32.38  																																																			| (471) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0))
% 59.77/32.38  																																																			|
% 59.77/32.38  																																																				+-Applying beta-rule and splitting (241), into two cases.
% 59.77/32.38  																																																				|-Branch one:
% 59.77/32.38  																																																				| (340) all_26_0_30 = 0
% 59.77/32.38  																																																				|
% 59.77/32.38  																																																					| Equations (340) can reduce 84 to:
% 59.77/32.38  																																																					| (289) $false
% 59.77/32.38  																																																					|
% 59.77/32.38  																																																					|-The branch is then unsatisfiable
% 59.77/32.38  																																																				|-Branch two:
% 59.77/32.38  																																																				| (84)  ~ (all_26_0_30 = 0)
% 59.77/32.38  																																																				| (475) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0))
% 59.77/32.38  																																																				|
% 59.77/32.38  																																																					+-Applying beta-rule and splitting (242), into two cases.
% 59.77/32.38  																																																					|-Branch one:
% 59.77/32.38  																																																					| (340) all_26_0_30 = 0
% 59.77/32.38  																																																					|
% 59.77/32.38  																																																						| Equations (340) can reduce 84 to:
% 59.77/32.38  																																																						| (289) $false
% 59.77/32.38  																																																						|
% 59.77/32.38  																																																						|-The branch is then unsatisfiable
% 59.77/32.38  																																																					|-Branch two:
% 59.77/32.38  																																																					| (84)  ~ (all_26_0_30 = 0)
% 59.77/32.38  																																																					| (479) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0))
% 59.77/32.38  																																																					|
% 59.77/32.38  																																																						+-Applying beta-rule and splitting (244), into two cases.
% 59.77/32.38  																																																						|-Branch one:
% 59.77/32.38  																																																						| (340) all_26_0_30 = 0
% 59.77/32.38  																																																						|
% 59.77/32.38  																																																							| Equations (340) can reduce 84 to:
% 59.77/32.38  																																																							| (289) $false
% 59.77/32.38  																																																							|
% 59.77/32.38  																																																							|-The branch is then unsatisfiable
% 59.77/32.38  																																																						|-Branch two:
% 59.77/32.38  																																																						| (84)  ~ (all_26_0_30 = 0)
% 59.77/32.38  																																																						| (483) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0))
% 59.77/32.38  																																																						|
% 59.77/32.38  																																																							+-Applying beta-rule and splitting (189), into two cases.
% 59.77/32.38  																																																							|-Branch one:
% 59.77/32.38  																																																							| (292) all_32_0_36 = 0
% 59.77/32.38  																																																							|
% 59.77/32.38  																																																								| Equations (292) can reduce 96 to:
% 59.77/32.38  																																																								| (289) $false
% 59.77/32.38  																																																								|
% 59.77/32.38  																																																								|-The branch is then unsatisfiable
% 59.77/32.38  																																																							|-Branch two:
% 59.77/32.38  																																																							| (96)  ~ (all_32_0_36 = 0)
% 59.77/32.38  																																																							| (487) all_28_0_32 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_3_3) = v0))
% 59.77/32.38  																																																							|
% 59.77/32.38  																																																								+-Applying beta-rule and splitting (191), into two cases.
% 59.77/32.38  																																																								|-Branch one:
% 59.77/32.38  																																																								| (292) all_32_0_36 = 0
% 59.77/32.38  																																																								|
% 59.77/32.38  																																																									| Equations (292) can reduce 96 to:
% 59.77/32.38  																																																									| (289) $false
% 59.77/32.38  																																																									|
% 59.77/32.38  																																																									|-The branch is then unsatisfiable
% 59.77/32.38  																																																								|-Branch two:
% 59.77/32.38  																																																								| (96)  ~ (all_32_0_36 = 0)
% 59.77/32.38  																																																								| (491) all_28_0_32 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_3_3) = v0))
% 59.77/32.38  																																																								|
% 59.77/32.38  																																																									+-Applying beta-rule and splitting (228), into two cases.
% 59.77/32.38  																																																									|-Branch one:
% 59.77/32.38  																																																									| (300) all_24_0_28 = 0
% 59.77/32.38  																																																									|
% 59.77/32.38  																																																										| Equations (300) can reduce 80 to:
% 59.77/32.38  																																																										| (289) $false
% 59.77/32.38  																																																										|
% 59.77/32.38  																																																										|-The branch is then unsatisfiable
% 59.77/32.38  																																																									|-Branch two:
% 59.77/32.38  																																																									| (80)  ~ (all_24_0_28 = 0)
% 59.77/32.38  																																																									| (495) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.38  																																																									|
% 59.77/32.38  																																																										+-Applying beta-rule and splitting (183), into two cases.
% 59.77/32.38  																																																										|-Branch one:
% 59.77/32.38  																																																										| (316) all_28_0_32 = 0
% 59.77/32.38  																																																										|
% 59.77/32.38  																																																											| Equations (316) can reduce 88 to:
% 59.77/32.38  																																																											| (289) $false
% 59.77/32.38  																																																											|
% 59.77/32.38  																																																											|-The branch is then unsatisfiable
% 59.77/32.38  																																																										|-Branch two:
% 59.77/32.38  																																																										| (88)  ~ (all_28_0_32 = 0)
% 59.77/32.38  																																																										| (499) all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_3_3) = v0))
% 59.77/32.38  																																																										|
% 59.77/32.38  																																																											+-Applying beta-rule and splitting (197), into two cases.
% 59.77/32.38  																																																											|-Branch one:
% 59.77/32.38  																																																											| (324) all_30_0_34 = 0
% 59.77/32.38  																																																											|
% 59.77/32.38  																																																												| Equations (324) can reduce 92 to:
% 59.77/32.38  																																																												| (289) $false
% 59.77/32.38  																																																												|
% 59.77/32.38  																																																												|-The branch is then unsatisfiable
% 59.77/32.38  																																																											|-Branch two:
% 59.77/32.38  																																																											| (92)  ~ (all_30_0_34 = 0)
% 59.77/32.38  																																																											| (503) all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_4_4) = v0))
% 59.77/32.38  																																																											|
% 59.77/32.38  																																																												+-Applying beta-rule and splitting (198), into two cases.
% 59.77/32.38  																																																												|-Branch one:
% 59.77/32.38  																																																												| (324) all_30_0_34 = 0
% 59.77/32.38  																																																												|
% 59.77/32.38  																																																													| Equations (324) can reduce 92 to:
% 59.77/32.38  																																																													| (289) $false
% 59.77/32.38  																																																													|
% 59.77/32.38  																																																													|-The branch is then unsatisfiable
% 59.77/32.38  																																																												|-Branch two:
% 59.77/32.38  																																																												| (92)  ~ (all_30_0_34 = 0)
% 59.77/32.38  																																																												| (507) all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_0_0) = v0))
% 59.77/32.38  																																																												|
% 59.77/32.38  																																																													+-Applying beta-rule and splitting (199), into two cases.
% 59.77/32.38  																																																													|-Branch one:
% 59.77/32.38  																																																													| (308) all_36_0_40 = 0
% 59.77/32.38  																																																													|
% 59.77/32.38  																																																														| Equations (308) can reduce 102 to:
% 59.77/32.38  																																																														| (289) $false
% 59.77/32.38  																																																														|
% 59.77/32.38  																																																														|-The branch is then unsatisfiable
% 59.77/32.38  																																																													|-Branch two:
% 59.77/32.38  																																																													| (102)  ~ (all_36_0_40 = 0)
% 59.77/32.38  																																																													| (511) all_30_0_34 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_4_4) = v0))
% 59.77/32.38  																																																													|
% 59.77/32.38  																																																														+-Applying beta-rule and splitting (200), into two cases.
% 59.77/32.38  																																																														|-Branch one:
% 59.77/32.38  																																																														| (308) all_36_0_40 = 0
% 59.77/32.38  																																																														|
% 59.77/32.38  																																																															| Equations (308) can reduce 102 to:
% 59.77/32.38  																																																															| (289) $false
% 59.77/32.38  																																																															|
% 59.77/32.38  																																																															|-The branch is then unsatisfiable
% 59.77/32.38  																																																														|-Branch two:
% 59.77/32.38  																																																														| (102)  ~ (all_36_0_40 = 0)
% 59.77/32.38  																																																														| (515) all_30_0_34 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_0_0) = v0))
% 59.77/32.38  																																																														|
% 59.77/32.38  																																																															+-Applying beta-rule and splitting (184), into two cases.
% 59.77/32.38  																																																															|-Branch one:
% 59.77/32.38  																																																															| (316) all_28_0_32 = 0
% 59.77/32.38  																																																															|
% 59.77/32.38  																																																																| Equations (316) can reduce 88 to:
% 59.77/32.38  																																																																| (289) $false
% 59.77/32.38  																																																																|
% 59.77/32.38  																																																																|-The branch is then unsatisfiable
% 59.77/32.38  																																																															|-Branch two:
% 59.77/32.38  																																																															| (88)  ~ (all_28_0_32 = 0)
% 59.77/32.38  																																																															| (519) all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_0_0) = v0))
% 59.77/32.38  																																																															|
% 59.77/32.38  																																																																+-Applying beta-rule and splitting (195), into two cases.
% 59.77/32.38  																																																																|-Branch one:
% 59.77/32.38  																																																																| (324) all_30_0_34 = 0
% 59.77/32.38  																																																																|
% 59.77/32.38  																																																																	| Equations (324) can reduce 92 to:
% 59.77/32.38  																																																																	| (289) $false
% 59.77/32.38  																																																																	|
% 59.77/32.38  																																																																	|-The branch is then unsatisfiable
% 59.77/32.38  																																																																|-Branch two:
% 59.77/32.38  																																																																| (92)  ~ (all_30_0_34 = 0)
% 59.77/32.38  																																																																| (523) all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_4_4) = v0))
% 59.77/32.38  																																																																|
% 59.77/32.38  																																																																	+-Applying beta-rule and splitting (190), into two cases.
% 59.77/32.38  																																																																	|-Branch one:
% 59.77/32.38  																																																																	| (292) all_32_0_36 = 0
% 59.77/32.38  																																																																	|
% 59.77/32.38  																																																																		| Equations (292) can reduce 96 to:
% 59.77/32.38  																																																																		| (289) $false
% 59.77/32.38  																																																																		|
% 59.77/32.38  																																																																		|-The branch is then unsatisfiable
% 59.77/32.38  																																																																	|-Branch two:
% 59.77/32.38  																																																																	| (96)  ~ (all_32_0_36 = 0)
% 59.77/32.38  																																																																	| (527) all_28_0_32 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_0_0) = v0))
% 59.77/32.38  																																																																	|
% 59.77/32.38  																																																																		+-Applying beta-rule and splitting (192), into two cases.
% 59.77/32.38  																																																																		|-Branch one:
% 59.77/32.38  																																																																		| (292) all_32_0_36 = 0
% 59.77/32.38  																																																																		|
% 59.77/32.38  																																																																			| Equations (292) can reduce 96 to:
% 59.77/32.38  																																																																			| (289) $false
% 59.77/32.38  																																																																			|
% 59.77/32.38  																																																																			|-The branch is then unsatisfiable
% 59.77/32.38  																																																																		|-Branch two:
% 59.77/32.38  																																																																		| (96)  ~ (all_32_0_36 = 0)
% 59.77/32.38  																																																																		| (531) all_28_0_32 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_0_0) = v0))
% 59.77/32.38  																																																																		|
% 59.77/32.38  																																																																			+-Applying beta-rule and splitting (169), into two cases.
% 59.77/32.38  																																																																			|-Branch one:
% 59.77/32.38  																																																																			| (308) all_36_0_40 = 0
% 59.77/32.38  																																																																			|
% 59.77/32.38  																																																																				| Equations (308) can reduce 102 to:
% 59.77/32.38  																																																																				| (289) $false
% 59.77/32.38  																																																																				|
% 59.77/32.38  																																																																				|-The branch is then unsatisfiable
% 59.77/32.38  																																																																			|-Branch two:
% 59.77/32.38  																																																																			| (102)  ~ (all_36_0_40 = 0)
% 59.77/32.38  																																																																			| (535) all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_0_0) = v0))
% 59.77/32.38  																																																																			|
% 59.77/32.38  																																																																				+-Applying beta-rule and splitting (167), into two cases.
% 59.77/32.38  																																																																				|-Branch one:
% 59.77/32.38  																																																																				| (308) all_36_0_40 = 0
% 59.77/32.38  																																																																				|
% 59.77/32.38  																																																																					| Equations (308) can reduce 102 to:
% 59.77/32.38  																																																																					| (289) $false
% 59.77/32.38  																																																																					|
% 59.77/32.38  																																																																					|-The branch is then unsatisfiable
% 59.77/32.38  																																																																				|-Branch two:
% 59.77/32.38  																																																																				| (102)  ~ (all_36_0_40 = 0)
% 59.77/32.38  																																																																				| (539) all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0))
% 59.77/32.38  																																																																				|
% 59.77/32.38  																																																																					+-Applying beta-rule and splitting (211), into two cases.
% 59.77/32.38  																																																																					|-Branch one:
% 59.77/32.38  																																																																					| (308) all_36_0_40 = 0
% 59.77/32.38  																																																																					|
% 59.77/32.38  																																																																						| Equations (308) can reduce 102 to:
% 59.77/32.38  																																																																						| (289) $false
% 59.77/32.38  																																																																						|
% 59.77/32.38  																																																																						|-The branch is then unsatisfiable
% 59.77/32.38  																																																																					|-Branch two:
% 59.77/32.38  																																																																					| (102)  ~ (all_36_0_40 = 0)
% 59.77/32.38  																																																																					| (543) all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.38  																																																																					|
% 59.77/32.38  																																																																						+-Applying beta-rule and splitting (212), into two cases.
% 59.77/32.38  																																																																						|-Branch one:
% 59.77/32.38  																																																																						| (308) all_36_0_40 = 0
% 59.77/32.38  																																																																						|
% 59.77/32.38  																																																																							| Equations (308) can reduce 102 to:
% 59.77/32.38  																																																																							| (289) $false
% 59.77/32.38  																																																																							|
% 59.77/32.38  																																																																							|-The branch is then unsatisfiable
% 59.77/32.38  																																																																						|-Branch two:
% 59.77/32.38  																																																																						| (102)  ~ (all_36_0_40 = 0)
% 59.77/32.38  																																																																						| (547) all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.38  																																																																						|
% 59.77/32.38  																																																																							+-Applying beta-rule and splitting (213), into two cases.
% 59.77/32.38  																																																																							|-Branch one:
% 59.77/32.38  																																																																							| (308) all_36_0_40 = 0
% 59.77/32.38  																																																																							|
% 59.77/32.38  																																																																								| Equations (308) can reduce 102 to:
% 59.77/32.38  																																																																								| (289) $false
% 59.77/32.38  																																																																								|
% 59.77/32.38  																																																																								|-The branch is then unsatisfiable
% 59.77/32.38  																																																																							|-Branch two:
% 59.77/32.38  																																																																							| (102)  ~ (all_36_0_40 = 0)
% 59.77/32.38  																																																																							| (551) all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 59.77/32.38  																																																																							|
% 59.77/32.38  																																																																								+-Applying beta-rule and splitting (196), into two cases.
% 59.77/32.38  																																																																								|-Branch one:
% 59.77/32.38  																																																																								| (324) all_30_0_34 = 0
% 59.77/32.38  																																																																								|
% 59.77/32.38  																																																																									| Equations (324) can reduce 92 to:
% 59.77/32.38  																																																																									| (289) $false
% 59.77/32.38  																																																																									|
% 59.77/32.38  																																																																									|-The branch is then unsatisfiable
% 59.77/32.38  																																																																								|-Branch two:
% 59.77/32.38  																																																																								| (92)  ~ (all_30_0_34 = 0)
% 59.77/32.38  																																																																								| (555) all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_0_0) = v0))
% 59.77/32.38  																																																																								|
% 59.77/32.38  																																																																									+-Applying beta-rule and splitting (170), into two cases.
% 59.77/32.38  																																																																									|-Branch one:
% 59.77/32.38  																																																																									| (308) all_36_0_40 = 0
% 59.77/32.38  																																																																									|
% 59.77/32.38  																																																																										| Equations (308) can reduce 102 to:
% 59.77/32.38  																																																																										| (289) $false
% 59.77/32.38  																																																																										|
% 59.77/32.38  																																																																										|-The branch is then unsatisfiable
% 59.77/32.38  																																																																									|-Branch two:
% 59.77/32.38  																																																																									| (102)  ~ (all_36_0_40 = 0)
% 59.77/32.38  																																																																									| (559) all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_0_0) = v0))
% 59.77/32.39  																																																																									|
% 59.77/32.39  																																																																										+-Applying beta-rule and splitting (177), into two cases.
% 59.77/32.39  																																																																										|-Branch one:
% 59.77/32.39  																																																																										| (308) all_36_0_40 = 0
% 59.77/32.39  																																																																										|
% 59.77/32.39  																																																																											| Equations (308) can reduce 102 to:
% 59.77/32.39  																																																																											| (289) $false
% 59.77/32.39  																																																																											|
% 59.77/32.39  																																																																											|-The branch is then unsatisfiable
% 59.77/32.39  																																																																										|-Branch two:
% 59.77/32.39  																																																																										| (102)  ~ (all_36_0_40 = 0)
% 59.77/32.39  																																																																										| (563) all_32_0_36 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0))
% 59.77/32.39  																																																																										|
% 59.77/32.39  																																																																											+-Applying beta-rule and splitting (178), into two cases.
% 59.77/32.39  																																																																											|-Branch one:
% 59.77/32.39  																																																																											| (308) all_36_0_40 = 0
% 59.77/32.39  																																																																											|
% 59.77/32.39  																																																																												| Equations (308) can reduce 102 to:
% 59.77/32.39  																																																																												| (289) $false
% 59.77/32.39  																																																																												|
% 59.77/32.39  																																																																												|-The branch is then unsatisfiable
% 59.77/32.39  																																																																											|-Branch two:
% 59.77/32.39  																																																																											| (102)  ~ (all_36_0_40 = 0)
% 59.77/32.39  																																																																											| (567) all_32_0_36 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0))
% 59.77/32.39  																																																																											|
% 59.77/32.39  																																																																												+-Applying beta-rule and splitting (173), into two cases.
% 59.77/32.39  																																																																												|-Branch one:
% 59.77/32.39  																																																																												| (292) all_32_0_36 = 0
% 59.77/32.39  																																																																												|
% 59.77/32.39  																																																																													| Equations (292) can reduce 96 to:
% 59.77/32.39  																																																																													| (289) $false
% 59.77/32.39  																																																																													|
% 59.77/32.39  																																																																													|-The branch is then unsatisfiable
% 59.77/32.39  																																																																												|-Branch two:
% 59.77/32.39  																																																																												| (96)  ~ (all_32_0_36 = 0)
% 59.77/32.39  																																																																												| (571) all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0))
% 59.77/32.39  																																																																												|
% 59.77/32.39  																																																																													+-Applying beta-rule and splitting (174), into two cases.
% 59.77/32.39  																																																																													|-Branch one:
% 59.77/32.39  																																																																													| (292) all_32_0_36 = 0
% 59.77/32.39  																																																																													|
% 59.77/32.39  																																																																														| Equations (292) can reduce 96 to:
% 59.77/32.39  																																																																														| (289) $false
% 59.77/32.39  																																																																														|
% 59.77/32.39  																																																																														|-The branch is then unsatisfiable
% 59.77/32.39  																																																																													|-Branch two:
% 59.77/32.39  																																																																													| (96)  ~ (all_32_0_36 = 0)
% 59.77/32.39  																																																																													| (575) all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0))
% 59.77/32.39  																																																																													|
% 59.77/32.39  																																																																														+-Applying beta-rule and splitting (203), into two cases.
% 59.77/32.39  																																																																														|-Branch one:
% 59.77/32.39  																																																																														| (292) all_32_0_36 = 0
% 59.77/32.39  																																																																														|
% 59.77/32.39  																																																																															| Equations (292) can reduce 96 to:
% 59.77/32.39  																																																																															| (289) $false
% 59.77/32.39  																																																																															|
% 59.77/32.39  																																																																															|-The branch is then unsatisfiable
% 59.77/32.39  																																																																														|-Branch two:
% 59.77/32.39  																																																																														| (96)  ~ (all_32_0_36 = 0)
% 59.77/32.39  																																																																														| (579) all_30_0_34 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_4_4) = v0))
% 59.77/32.39  																																																																														|
% 59.77/32.39  																																																																															+-Applying beta-rule and splitting (201), into two cases.
% 59.77/32.39  																																																																															|-Branch one:
% 59.77/32.39  																																																																															| (308) all_36_0_40 = 0
% 59.77/32.39  																																																																															|
% 59.77/32.39  																																																																																| Equations (308) can reduce 102 to:
% 59.77/32.39  																																																																																| (289) $false
% 59.77/32.39  																																																																																|
% 59.77/32.39  																																																																																|-The branch is then unsatisfiable
% 59.77/32.39  																																																																															|-Branch two:
% 59.77/32.39  																																																																															| (102)  ~ (all_36_0_40 = 0)
% 59.77/32.39  																																																																															| (583) all_30_0_34 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_4_4) = v0))
% 59.77/32.39  																																																																															|
% 59.77/32.39  																																																																																+-Applying beta-rule and splitting (202), into two cases.
% 59.77/32.39  																																																																																|-Branch one:
% 59.77/32.39  																																																																																| (308) all_36_0_40 = 0
% 59.77/32.39  																																																																																|
% 59.77/32.39  																																																																																	| Equations (308) can reduce 102 to:
% 59.77/32.39  																																																																																	| (289) $false
% 59.77/32.39  																																																																																	|
% 59.77/32.39  																																																																																	|-The branch is then unsatisfiable
% 59.77/32.39  																																																																																|-Branch two:
% 59.77/32.39  																																																																																| (102)  ~ (all_36_0_40 = 0)
% 59.77/32.39  																																																																																| (587) all_30_0_34 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_0_0) = v0))
% 59.77/32.39  																																																																																|
% 59.77/32.39  																																																																																	+-Applying beta-rule and splitting (216), into two cases.
% 59.77/32.39  																																																																																	|-Branch one:
% 59.77/32.39  																																																																																	| (292) all_32_0_36 = 0
% 59.77/32.39  																																																																																	|
% 59.77/32.39  																																																																																		| Equations (292) can reduce 96 to:
% 59.77/32.39  																																																																																		| (289) $false
% 59.77/32.39  																																																																																		|
% 59.77/32.39  																																																																																		|-The branch is then unsatisfiable
% 59.77/32.39  																																																																																	|-Branch two:
% 59.77/32.39  																																																																																	| (96)  ~ (all_32_0_36 = 0)
% 59.77/32.39  																																																																																	| (591) all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.39  																																																																																	|
% 59.77/32.39  																																																																																		+-Applying beta-rule and splitting (259), into two cases.
% 59.77/32.39  																																																																																		|-Branch one:
% 59.77/32.39  																																																																																		| (308) all_36_0_40 = 0
% 59.77/32.39  																																																																																		|
% 59.77/32.39  																																																																																			| Equations (308) can reduce 102 to:
% 59.77/32.39  																																																																																			| (289) $false
% 59.77/32.39  																																																																																			|
% 59.77/32.39  																																																																																			|-The branch is then unsatisfiable
% 59.77/32.39  																																																																																		|-Branch two:
% 59.77/32.39  																																																																																		| (102)  ~ (all_36_0_40 = 0)
% 59.77/32.39  																																																																																		| (595) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 59.77/32.39  																																																																																		|
% 59.77/32.39  																																																																																			+-Applying beta-rule and splitting (257), into two cases.
% 59.77/32.39  																																																																																			|-Branch one:
% 59.77/32.39  																																																																																			| (308) all_36_0_40 = 0
% 59.77/32.39  																																																																																			|
% 59.77/32.39  																																																																																				| Equations (308) can reduce 102 to:
% 59.77/32.39  																																																																																				| (289) $false
% 59.77/32.39  																																																																																				|
% 59.77/32.39  																																																																																				|-The branch is then unsatisfiable
% 59.77/32.39  																																																																																			|-Branch two:
% 59.77/32.39  																																																																																			| (102)  ~ (all_36_0_40 = 0)
% 60.28/32.39  																																																																																			| (599) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 60.28/32.39  																																																																																			|
% 60.28/32.39  																																																																																				+-Applying beta-rule and splitting (247), into two cases.
% 60.28/32.39  																																																																																				|-Branch one:
% 60.28/32.39  																																																																																				| (340) all_26_0_30 = 0
% 60.28/32.39  																																																																																				|
% 60.28/32.39  																																																																																					| Equations (340) can reduce 84 to:
% 60.28/32.39  																																																																																					| (289) $false
% 60.28/32.39  																																																																																					|
% 60.28/32.39  																																																																																					|-The branch is then unsatisfiable
% 60.28/32.39  																																																																																				|-Branch two:
% 60.28/32.39  																																																																																				| (84)  ~ (all_26_0_30 = 0)
% 60.28/32.39  																																																																																				| (603) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 60.28/32.39  																																																																																				|
% 60.28/32.39  																																																																																					+-Applying beta-rule and splitting (258), into two cases.
% 60.28/32.39  																																																																																					|-Branch one:
% 60.28/32.39  																																																																																					| (308) all_36_0_40 = 0
% 60.28/32.39  																																																																																					|
% 60.28/32.39  																																																																																						| Equations (308) can reduce 102 to:
% 60.28/32.39  																																																																																						| (289) $false
% 60.28/32.39  																																																																																						|
% 60.28/32.39  																																																																																						|-The branch is then unsatisfiable
% 60.28/32.39  																																																																																					|-Branch two:
% 60.28/32.39  																																																																																					| (102)  ~ (all_36_0_40 = 0)
% 60.28/32.39  																																																																																					| (607) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 60.28/32.39  																																																																																					|
% 60.28/32.39  																																																																																						+-Applying beta-rule and splitting (260), into two cases.
% 60.28/32.39  																																																																																						|-Branch one:
% 60.28/32.39  																																																																																						| (308) all_36_0_40 = 0
% 60.28/32.39  																																																																																						|
% 60.28/32.39  																																																																																							| Equations (308) can reduce 102 to:
% 60.28/32.39  																																																																																							| (289) $false
% 60.28/32.39  																																																																																							|
% 60.28/32.39  																																																																																							|-The branch is then unsatisfiable
% 60.28/32.39  																																																																																						|-Branch two:
% 60.28/32.39  																																																																																						| (102)  ~ (all_36_0_40 = 0)
% 60.28/32.39  																																																																																						| (611) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 60.28/32.39  																																																																																						|
% 60.28/32.39  																																																																																							+-Applying beta-rule and splitting (236), into two cases.
% 60.28/32.39  																																																																																							|-Branch one:
% 60.28/32.39  																																																																																							| (316) all_28_0_32 = 0
% 60.28/32.39  																																																																																							|
% 60.28/32.39  																																																																																								| Equations (316) can reduce 88 to:
% 60.28/32.39  																																																																																								| (289) $false
% 60.28/32.39  																																																																																								|
% 60.28/32.39  																																																																																								|-The branch is then unsatisfiable
% 60.28/32.39  																																																																																							|-Branch two:
% 60.28/32.39  																																																																																							| (88)  ~ (all_28_0_32 = 0)
% 60.28/32.39  																																																																																							| (615) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0))
% 60.28/32.39  																																																																																							|
% 60.28/32.39  																																																																																								+-Applying beta-rule and splitting (214), into two cases.
% 60.28/32.39  																																																																																								|-Branch one:
% 60.28/32.39  																																																																																								| (292) all_32_0_36 = 0
% 60.28/32.39  																																																																																								|
% 60.28/32.39  																																																																																									| Equations (292) can reduce 96 to:
% 60.28/32.39  																																																																																									| (289) $false
% 60.28/32.39  																																																																																									|
% 60.28/32.39  																																																																																									|-The branch is then unsatisfiable
% 60.28/32.39  																																																																																								|-Branch two:
% 60.28/32.39  																																																																																								| (96)  ~ (all_32_0_36 = 0)
% 60.28/32.39  																																																																																								| (619) all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 60.28/32.39  																																																																																								|
% 60.28/32.39  																																																																																									+-Applying beta-rule and splitting (215), into two cases.
% 60.28/32.39  																																																																																									|-Branch one:
% 60.28/32.39  																																																																																									| (292) all_32_0_36 = 0
% 60.28/32.39  																																																																																									|
% 60.28/32.39  																																																																																										| Equations (292) can reduce 96 to:
% 60.28/32.39  																																																																																										| (289) $false
% 60.28/32.39  																																																																																										|
% 60.28/32.39  																																																																																										|-The branch is then unsatisfiable
% 60.28/32.39  																																																																																									|-Branch two:
% 60.28/32.39  																																																																																									| (96)  ~ (all_32_0_36 = 0)
% 60.28/32.39  																																																																																									| (623) all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 60.28/32.39  																																																																																									|
% 60.28/32.39  																																																																																										+-Applying beta-rule and splitting (217), into two cases.
% 60.28/32.39  																																																																																										|-Branch one:
% 60.28/32.39  																																																																																										| (292) all_32_0_36 = 0
% 60.28/32.39  																																																																																										|
% 60.28/32.39  																																																																																											| Equations (292) can reduce 96 to:
% 60.28/32.39  																																																																																											| (289) $false
% 60.28/32.39  																																																																																											|
% 60.28/32.39  																																																																																											|-The branch is then unsatisfiable
% 60.28/32.39  																																																																																										|-Branch two:
% 60.28/32.39  																																																																																										| (96)  ~ (all_32_0_36 = 0)
% 60.28/32.39  																																																																																										| (627) all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 60.28/32.39  																																																																																										|
% 60.28/32.39  																																																																																											+-Applying beta-rule and splitting (204), into two cases.
% 60.28/32.39  																																																																																											|-Branch one:
% 60.28/32.39  																																																																																											| (292) all_32_0_36 = 0
% 60.28/32.39  																																																																																											|
% 60.28/32.39  																																																																																												| Equations (292) can reduce 96 to:
% 60.28/32.39  																																																																																												| (289) $false
% 60.28/32.39  																																																																																												|
% 60.28/32.39  																																																																																												|-The branch is then unsatisfiable
% 60.28/32.39  																																																																																											|-Branch two:
% 60.28/32.39  																																																																																											| (96)  ~ (all_32_0_36 = 0)
% 60.28/32.39  																																																																																											| (631) all_30_0_34 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_0_0) = v0))
% 60.28/32.39  																																																																																											|
% 60.28/32.39  																																																																																												+-Applying beta-rule and splitting (208), into two cases.
% 60.28/32.39  																																																																																												|-Branch one:
% 60.28/32.39  																																																																																												| (340) all_26_0_30 = 0
% 60.28/32.39  																																																																																												|
% 60.28/32.39  																																																																																													| Equations (340) can reduce 84 to:
% 60.28/32.39  																																																																																													| (289) $false
% 60.28/32.39  																																																																																													|
% 60.28/32.39  																																																																																													|-The branch is then unsatisfiable
% 60.28/32.39  																																																																																												|-Branch two:
% 60.28/32.39  																																																																																												| (84)  ~ (all_26_0_30 = 0)
% 60.28/32.39  																																																																																												| (635) all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 60.28/32.39  																																																																																												|
% 60.28/32.39  																																																																																													+-Applying beta-rule and splitting (209), into two cases.
% 60.28/32.39  																																																																																													|-Branch one:
% 60.28/32.39  																																																																																													| (340) all_26_0_30 = 0
% 60.28/32.39  																																																																																													|
% 60.28/32.39  																																																																																														| Equations (340) can reduce 84 to:
% 60.28/32.39  																																																																																														| (289) $false
% 60.28/32.39  																																																																																														|
% 60.28/32.39  																																																																																														|-The branch is then unsatisfiable
% 60.28/32.39  																																																																																													|-Branch two:
% 60.28/32.39  																																																																																													| (84)  ~ (all_26_0_30 = 0)
% 60.28/32.39  																																																																																													| (639) all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 60.28/32.39  																																																																																													|
% 60.28/32.39  																																																																																														+-Applying beta-rule and splitting (175), into two cases.
% 60.28/32.39  																																																																																														|-Branch one:
% 60.28/32.39  																																																																																														| (292) all_32_0_36 = 0
% 60.28/32.39  																																																																																														|
% 60.28/32.39  																																																																																															| Equations (292) can reduce 96 to:
% 60.28/32.39  																																																																																															| (289) $false
% 60.28/32.39  																																																																																															|
% 60.28/32.39  																																																																																															|-The branch is then unsatisfiable
% 60.28/32.39  																																																																																														|-Branch two:
% 60.28/32.39  																																																																																														| (96)  ~ (all_32_0_36 = 0)
% 60.28/32.39  																																																																																														| (643) all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_0_0) = v0))
% 60.28/32.39  																																																																																														|
% 60.28/32.39  																																																																																															+-Applying beta-rule and splitting (176), into two cases.
% 60.28/32.39  																																																																																															|-Branch one:
% 60.28/32.39  																																																																																															| (292) all_32_0_36 = 0
% 60.28/32.39  																																																																																															|
% 60.28/32.39  																																																																																																| Equations (292) can reduce 96 to:
% 60.28/32.39  																																																																																																| (289) $false
% 60.28/32.39  																																																																																																|
% 60.28/32.39  																																																																																																|-The branch is then unsatisfiable
% 60.28/32.39  																																																																																															|-Branch two:
% 60.28/32.39  																																																																																															| (96)  ~ (all_32_0_36 = 0)
% 60.28/32.39  																																																																																															| (647) all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_0_0) = v0))
% 60.28/32.39  																																																																																															|
% 60.28/32.39  																																																																																																+-Applying beta-rule and splitting (179), into two cases.
% 60.28/32.39  																																																																																																|-Branch one:
% 60.28/32.39  																																																																																																| (308) all_36_0_40 = 0
% 60.28/32.39  																																																																																																|
% 60.28/32.39  																																																																																																	| Equations (308) can reduce 102 to:
% 60.28/32.39  																																																																																																	| (289) $false
% 60.28/32.39  																																																																																																	|
% 60.28/32.39  																																																																																																	|-The branch is then unsatisfiable
% 60.28/32.39  																																																																																																|-Branch two:
% 60.28/32.39  																																																																																																| (102)  ~ (all_36_0_40 = 0)
% 60.28/32.39  																																																																																																| (651) all_32_0_36 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_0_0) = v0))
% 60.28/32.40  																																																																																																|
% 60.28/32.40  																																																																																																	+-Applying beta-rule and splitting (180), into two cases.
% 60.28/32.40  																																																																																																	|-Branch one:
% 60.28/32.40  																																																																																																	| (308) all_36_0_40 = 0
% 60.28/32.40  																																																																																																	|
% 60.28/32.40  																																																																																																		| Equations (308) can reduce 102 to:
% 60.28/32.40  																																																																																																		| (289) $false
% 60.28/32.40  																																																																																																		|
% 60.28/32.40  																																																																																																		|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																	|-Branch two:
% 60.28/32.40  																																																																																																	| (102)  ~ (all_36_0_40 = 0)
% 60.28/32.40  																																																																																																	| (655) all_32_0_36 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_0_0) = v0))
% 60.28/32.40  																																																																																																	|
% 60.28/32.40  																																																																																																		+-Applying beta-rule and splitting (185), into two cases.
% 60.28/32.40  																																																																																																		|-Branch one:
% 60.28/32.40  																																																																																																		| (316) all_28_0_32 = 0
% 60.28/32.40  																																																																																																		|
% 60.28/32.40  																																																																																																			| Equations (316) can reduce 88 to:
% 60.28/32.40  																																																																																																			| (289) $false
% 60.28/32.40  																																																																																																			|
% 60.28/32.40  																																																																																																			|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																		|-Branch two:
% 60.28/32.40  																																																																																																		| (88)  ~ (all_28_0_32 = 0)
% 60.28/32.40  																																																																																																		| (659) all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_3_3) = v0))
% 60.28/32.40  																																																																																																		|
% 60.28/32.40  																																																																																																			+-Applying beta-rule and splitting (186), into two cases.
% 60.28/32.40  																																																																																																			|-Branch one:
% 60.28/32.40  																																																																																																			| (316) all_28_0_32 = 0
% 60.28/32.40  																																																																																																			|
% 60.28/32.40  																																																																																																				| Equations (316) can reduce 88 to:
% 60.28/32.40  																																																																																																				| (289) $false
% 60.28/32.40  																																																																																																				|
% 60.28/32.40  																																																																																																				|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																			|-Branch two:
% 60.28/32.40  																																																																																																			| (88)  ~ (all_28_0_32 = 0)
% 60.28/32.40  																																																																																																			| (663) all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_0_0) = v0))
% 60.28/32.40  																																																																																																			|
% 60.28/32.40  																																																																																																				+-Applying beta-rule and splitting (168), into two cases.
% 60.28/32.40  																																																																																																				|-Branch one:
% 60.28/32.40  																																																																																																				| (308) all_36_0_40 = 0
% 60.28/32.40  																																																																																																				|
% 60.28/32.40  																																																																																																					| Equations (308) can reduce 102 to:
% 60.28/32.40  																																																																																																					| (289) $false
% 60.28/32.40  																																																																																																					|
% 60.28/32.40  																																																																																																					|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																				|-Branch two:
% 60.28/32.40  																																																																																																				| (102)  ~ (all_36_0_40 = 0)
% 60.28/32.40  																																																																																																				| (667) all_24_0_28 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0))
% 60.28/32.40  																																																																																																				|
% 60.28/32.40  																																																																																																					+-Applying beta-rule and splitting (219), into two cases.
% 60.28/32.40  																																																																																																					|-Branch one:
% 60.28/32.40  																																																																																																					| (324) all_30_0_34 = 0
% 60.28/32.40  																																																																																																					|
% 60.28/32.40  																																																																																																						| Equations (324) can reduce 92 to:
% 60.28/32.40  																																																																																																						| (289) $false
% 60.28/32.40  																																																																																																						|
% 60.28/32.40  																																																																																																						|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																					|-Branch two:
% 60.28/32.40  																																																																																																					| (92)  ~ (all_30_0_34 = 0)
% 60.28/32.40  																																																																																																					| (671) all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 60.28/32.40  																																																																																																					|
% 60.28/32.40  																																																																																																						+-Applying beta-rule and splitting (265), into two cases.
% 60.28/32.40  																																																																																																						|-Branch one:
% 60.28/32.40  																																																																																																						| (316) all_28_0_32 = 0
% 60.28/32.40  																																																																																																						|
% 60.28/32.40  																																																																																																							| Equations (316) can reduce 88 to:
% 60.28/32.40  																																																																																																							| (289) $false
% 60.28/32.40  																																																																																																							|
% 60.28/32.40  																																																																																																							|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																						|-Branch two:
% 60.28/32.40  																																																																																																						| (88)  ~ (all_28_0_32 = 0)
% 60.28/32.40  																																																																																																						| (675) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 60.28/32.40  																																																																																																						|
% 60.28/32.40  																																																																																																							+-Applying beta-rule and splitting (266), into two cases.
% 60.28/32.40  																																																																																																							|-Branch one:
% 60.28/32.40  																																																																																																							| (316) all_28_0_32 = 0
% 60.28/32.40  																																																																																																							|
% 60.28/32.40  																																																																																																								| Equations (316) can reduce 88 to:
% 60.28/32.40  																																																																																																								| (289) $false
% 60.28/32.40  																																																																																																								|
% 60.28/32.40  																																																																																																								|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																							|-Branch two:
% 60.28/32.40  																																																																																																							| (88)  ~ (all_28_0_32 = 0)
% 60.28/32.40  																																																																																																							| (679) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0))
% 60.28/32.40  																																																																																																							|
% 60.28/32.40  																																																																																																								+-Applying beta-rule and splitting (220), into two cases.
% 60.28/32.40  																																																																																																								|-Branch one:
% 60.28/32.40  																																																																																																								| (324) all_30_0_34 = 0
% 60.28/32.40  																																																																																																								|
% 60.28/32.40  																																																																																																									| Equations (324) can reduce 92 to:
% 60.28/32.40  																																																																																																									| (289) $false
% 60.28/32.40  																																																																																																									|
% 60.28/32.40  																																																																																																									|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																								|-Branch two:
% 60.28/32.40  																																																																																																								| (92)  ~ (all_30_0_34 = 0)
% 60.28/32.40  																																																																																																								| (683) all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 60.28/32.40  																																																																																																								|
% 60.28/32.40  																																																																																																									+-Applying beta-rule and splitting (187), into two cases.
% 60.28/32.40  																																																																																																									|-Branch one:
% 60.28/32.40  																																																																																																									| (308) all_36_0_40 = 0
% 60.28/32.40  																																																																																																									|
% 60.28/32.40  																																																																																																										| Equations (308) can reduce 102 to:
% 60.28/32.40  																																																																																																										| (289) $false
% 60.28/32.40  																																																																																																										|
% 60.28/32.40  																																																																																																										|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																									|-Branch two:
% 60.28/32.40  																																																																																																									| (102)  ~ (all_36_0_40 = 0)
% 60.28/32.40  																																																																																																									| (687) all_28_0_32 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_3_3) = v0))
% 60.28/32.40  																																																																																																									|
% 60.28/32.40  																																																																																																										+-Applying beta-rule and splitting (188), into two cases.
% 60.28/32.40  																																																																																																										|-Branch one:
% 60.28/32.40  																																																																																																										| (308) all_36_0_40 = 0
% 60.28/32.40  																																																																																																										|
% 60.28/32.40  																																																																																																											| Equations (308) can reduce 102 to:
% 60.28/32.40  																																																																																																											| (289) $false
% 60.28/32.40  																																																																																																											|
% 60.28/32.40  																																																																																																											|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																										|-Branch two:
% 60.28/32.40  																																																																																																										| (102)  ~ (all_36_0_40 = 0)
% 60.28/32.40  																																																																																																										| (691) all_28_0_32 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_0_0) = v0))
% 60.28/32.40  																																																																																																										|
% 60.28/32.40  																																																																																																											+-Applying beta-rule and splitting (261), into two cases.
% 60.28/32.40  																																																																																																											|-Branch one:
% 60.28/32.40  																																																																																																											| (292) all_32_0_36 = 0
% 60.28/32.40  																																																																																																											|
% 60.28/32.40  																																																																																																												| Equations (292) can reduce 96 to:
% 60.28/32.40  																																																																																																												| (289) $false
% 60.28/32.40  																																																																																																												|
% 60.28/32.40  																																																																																																												|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																											|-Branch two:
% 60.28/32.40  																																																																																																											| (96)  ~ (all_32_0_36 = 0)
% 60.28/32.40  																																																																																																											| (695) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 60.28/32.40  																																																																																																											|
% 60.28/32.40  																																																																																																												+-Applying beta-rule and splitting (262), into two cases.
% 60.28/32.40  																																																																																																												|-Branch one:
% 60.28/32.40  																																																																																																												| (292) all_32_0_36 = 0
% 60.28/32.40  																																																																																																												|
% 60.28/32.40  																																																																																																													| Equations (292) can reduce 96 to:
% 60.28/32.40  																																																																																																													| (289) $false
% 60.28/32.40  																																																																																																													|
% 60.28/32.40  																																																																																																													|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																												|-Branch two:
% 60.28/32.40  																																																																																																												| (96)  ~ (all_32_0_36 = 0)
% 60.28/32.40  																																																																																																												| (699) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 60.28/32.40  																																																																																																												|
% 60.28/32.40  																																																																																																													+-Applying beta-rule and splitting (263), into two cases.
% 60.28/32.40  																																																																																																													|-Branch one:
% 60.28/32.40  																																																																																																													| (316) all_28_0_32 = 0
% 60.28/32.40  																																																																																																													|
% 60.28/32.40  																																																																																																														| Equations (316) can reduce 88 to:
% 60.28/32.40  																																																																																																														| (289) $false
% 60.28/32.40  																																																																																																														|
% 60.28/32.40  																																																																																																														|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																													|-Branch two:
% 60.28/32.40  																																																																																																													| (88)  ~ (all_28_0_32 = 0)
% 60.28/32.40  																																																																																																													| (703) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 60.28/32.40  																																																																																																													|
% 60.28/32.40  																																																																																																														+-Applying beta-rule and splitting (218), into two cases.
% 60.28/32.40  																																																																																																														|-Branch one:
% 60.28/32.40  																																																																																																														| (316) all_28_0_32 = 0
% 60.28/32.40  																																																																																																														|
% 60.28/32.40  																																																																																																															| Equations (316) can reduce 88 to:
% 60.28/32.40  																																																																																																															| (289) $false
% 60.28/32.40  																																																																																																															|
% 60.28/32.40  																																																																																																															|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																														|-Branch two:
% 60.28/32.40  																																																																																																														| (88)  ~ (all_28_0_32 = 0)
% 60.28/32.40  																																																																																																														| (707) all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 60.28/32.40  																																																																																																														|
% 60.28/32.40  																																																																																																															+-Applying beta-rule and splitting (264), into two cases.
% 60.28/32.40  																																																																																																															|-Branch one:
% 60.28/32.40  																																																																																																															| (316) all_28_0_32 = 0
% 60.28/32.40  																																																																																																															|
% 60.28/32.40  																																																																																																																| Equations (316) can reduce 88 to:
% 60.28/32.40  																																																																																																																| (289) $false
% 60.28/32.40  																																																																																																																|
% 60.28/32.40  																																																																																																																|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																															|-Branch two:
% 60.28/32.40  																																																																																																															| (88)  ~ (all_28_0_32 = 0)
% 60.28/32.40  																																																																																																															| (711) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0))
% 60.28/32.40  																																																																																																															|
% 60.28/32.40  																																																																																																																+-Applying beta-rule and splitting (267), into two cases.
% 60.28/32.40  																																																																																																																|-Branch one:
% 60.28/32.40  																																																																																																																| (324) all_30_0_34 = 0
% 60.28/32.40  																																																																																																																|
% 60.28/32.40  																																																																																																																	| Equations (324) can reduce 92 to:
% 60.28/32.40  																																																																																																																	| (289) $false
% 60.28/32.40  																																																																																																																	|
% 60.28/32.40  																																																																																																																	|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																																|-Branch two:
% 60.28/32.40  																																																																																																																| (92)  ~ (all_30_0_34 = 0)
% 60.28/32.40  																																																																																																																| (715) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 60.28/32.40  																																																																																																																|
% 60.28/32.40  																																																																																																																	+-Applying beta-rule and splitting (276), into two cases.
% 60.28/32.40  																																																																																																																	|-Branch one:
% 60.28/32.40  																																																																																																																	| (332) all_22_0_26 = 0
% 60.28/32.40  																																																																																																																	|
% 60.28/32.40  																																																																																																																		| Equations (332) can reduce 76 to:
% 60.28/32.40  																																																																																																																		| (289) $false
% 60.28/32.40  																																																																																																																		|
% 60.28/32.40  																																																																																																																		|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																																	|-Branch two:
% 60.28/32.40  																																																																																																																	| (76)  ~ (all_22_0_26 = 0)
% 60.28/32.40  																																																																																																																	| (719) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0))
% 60.28/32.40  																																																																																																																	|
% 60.28/32.40  																																																																																																																		+-Applying beta-rule and splitting (277), into two cases.
% 60.28/32.40  																																																																																																																		|-Branch one:
% 60.28/32.40  																																																																																																																		| (332) all_22_0_26 = 0
% 60.28/32.40  																																																																																																																		|
% 60.28/32.40  																																																																																																																			| Equations (332) can reduce 76 to:
% 60.28/32.40  																																																																																																																			| (289) $false
% 60.28/32.40  																																																																																																																			|
% 60.28/32.40  																																																																																																																			|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																																		|-Branch two:
% 60.28/32.40  																																																																																																																		| (76)  ~ (all_22_0_26 = 0)
% 60.28/32.40  																																																																																																																		| (723) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0))
% 60.28/32.40  																																																																																																																		|
% 60.28/32.40  																																																																																																																			+-Applying beta-rule and splitting (278), into two cases.
% 60.28/32.40  																																																																																																																			|-Branch one:
% 60.28/32.40  																																																																																																																			| (332) all_22_0_26 = 0
% 60.28/32.40  																																																																																																																			|
% 60.28/32.40  																																																																																																																				| Equations (332) can reduce 76 to:
% 60.28/32.40  																																																																																																																				| (289) $false
% 60.28/32.40  																																																																																																																				|
% 60.28/32.40  																																																																																																																				|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																																			|-Branch two:
% 60.28/32.40  																																																																																																																			| (76)  ~ (all_22_0_26 = 0)
% 60.28/32.40  																																																																																																																			| (727) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0))
% 60.28/32.40  																																																																																																																			|
% 60.28/32.40  																																																																																																																				+-Applying beta-rule and splitting (279), into two cases.
% 60.28/32.40  																																																																																																																				|-Branch one:
% 60.28/32.40  																																																																																																																				| (332) all_22_0_26 = 0
% 60.28/32.40  																																																																																																																				|
% 60.28/32.40  																																																																																																																					| Equations (332) can reduce 76 to:
% 60.28/32.40  																																																																																																																					| (289) $false
% 60.28/32.40  																																																																																																																					|
% 60.28/32.40  																																																																																																																					|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																																				|-Branch two:
% 60.28/32.40  																																																																																																																				| (76)  ~ (all_22_0_26 = 0)
% 60.28/32.40  																																																																																																																				| (731) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0))
% 60.28/32.40  																																																																																																																				|
% 60.28/32.40  																																																																																																																					+-Applying beta-rule and splitting (282), into two cases.
% 60.28/32.40  																																																																																																																					|-Branch one:
% 60.28/32.40  																																																																																																																					| (332) all_22_0_26 = 0
% 60.28/32.40  																																																																																																																					|
% 60.28/32.40  																																																																																																																						| Equations (332) can reduce 76 to:
% 60.28/32.40  																																																																																																																						| (289) $false
% 60.28/32.40  																																																																																																																						|
% 60.28/32.40  																																																																																																																						|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																																					|-Branch two:
% 60.28/32.40  																																																																																																																					| (76)  ~ (all_22_0_26 = 0)
% 60.28/32.40  																																																																																																																					| (735) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 60.28/32.40  																																																																																																																					|
% 60.28/32.40  																																																																																																																						+-Applying beta-rule and splitting (268), into two cases.
% 60.28/32.40  																																																																																																																						|-Branch one:
% 60.28/32.40  																																																																																																																						| (340) all_26_0_30 = 0
% 60.28/32.40  																																																																																																																						|
% 60.28/32.40  																																																																																																																							| Equations (340) can reduce 84 to:
% 60.28/32.40  																																																																																																																							| (289) $false
% 60.28/32.40  																																																																																																																							|
% 60.28/32.40  																																																																																																																							|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																																						|-Branch two:
% 60.28/32.40  																																																																																																																						| (84)  ~ (all_26_0_30 = 0)
% 60.28/32.40  																																																																																																																						| (739) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0))
% 60.28/32.40  																																																																																																																						|
% 60.28/32.40  																																																																																																																							+-Applying beta-rule and splitting (269), into two cases.
% 60.28/32.40  																																																																																																																							|-Branch one:
% 60.28/32.40  																																																																																																																							| (340) all_26_0_30 = 0
% 60.28/32.40  																																																																																																																							|
% 60.28/32.40  																																																																																																																								| Equations (340) can reduce 84 to:
% 60.28/32.40  																																																																																																																								| (289) $false
% 60.28/32.40  																																																																																																																								|
% 60.28/32.40  																																																																																																																								|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																																							|-Branch two:
% 60.28/32.40  																																																																																																																							| (84)  ~ (all_26_0_30 = 0)
% 60.28/32.40  																																																																																																																							| (743) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0))
% 60.28/32.40  																																																																																																																							|
% 60.28/32.40  																																																																																																																								+-Applying beta-rule and splitting (270), into two cases.
% 60.28/32.40  																																																																																																																								|-Branch one:
% 60.28/32.40  																																																																																																																								| (340) all_26_0_30 = 0
% 60.28/32.40  																																																																																																																								|
% 60.28/32.40  																																																																																																																									| Equations (340) can reduce 84 to:
% 60.28/32.40  																																																																																																																									| (289) $false
% 60.28/32.40  																																																																																																																									|
% 60.28/32.40  																																																																																																																									|-The branch is then unsatisfiable
% 60.28/32.40  																																																																																																																								|-Branch two:
% 60.28/32.40  																																																																																																																								| (84)  ~ (all_26_0_30 = 0)
% 60.28/32.40  																																																																																																																								| (747) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0))
% 60.28/32.41  																																																																																																																								|
% 60.28/32.41  																																																																																																																									+-Applying beta-rule and splitting (271), into two cases.
% 60.28/32.41  																																																																																																																									|-Branch one:
% 60.28/32.41  																																																																																																																									| (340) all_26_0_30 = 0
% 60.28/32.41  																																																																																																																									|
% 60.28/32.41  																																																																																																																										| Equations (340) can reduce 84 to:
% 60.28/32.41  																																																																																																																										| (289) $false
% 60.28/32.41  																																																																																																																										|
% 60.28/32.41  																																																																																																																										|-The branch is then unsatisfiable
% 60.28/32.41  																																																																																																																									|-Branch two:
% 60.28/32.41  																																																																																																																									| (84)  ~ (all_26_0_30 = 0)
% 60.28/32.41  																																																																																																																									| (751) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0))
% 60.28/32.41  																																																																																																																									|
% 60.28/32.41  																																																																																																																										+-Applying beta-rule and splitting (274), into two cases.
% 60.28/32.41  																																																																																																																										|-Branch one:
% 60.28/32.41  																																																																																																																										| (340) all_26_0_30 = 0
% 60.28/32.41  																																																																																																																										|
% 60.28/32.41  																																																																																																																											| Equations (340) can reduce 84 to:
% 60.28/32.41  																																																																																																																											| (289) $false
% 60.28/32.41  																																																																																																																											|
% 60.28/32.41  																																																																																																																											|-The branch is then unsatisfiable
% 60.28/32.41  																																																																																																																										|-Branch two:
% 60.28/32.41  																																																																																																																										| (84)  ~ (all_26_0_30 = 0)
% 60.28/32.41  																																																																																																																										| (755) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 60.28/32.41  																																																																																																																										|
% 60.28/32.41  																																																																																																																											+-Applying beta-rule and splitting (272), into two cases.
% 60.28/32.41  																																																																																																																											|-Branch one:
% 60.28/32.41  																																																																																																																											| (340) all_26_0_30 = 0
% 60.28/32.41  																																																																																																																											|
% 60.28/32.41  																																																																																																																												| Equations (340) can reduce 84 to:
% 60.28/32.41  																																																																																																																												| (289) $false
% 60.28/32.41  																																																																																																																												|
% 60.28/32.41  																																																																																																																												|-The branch is then unsatisfiable
% 60.28/32.41  																																																																																																																											|-Branch two:
% 60.28/32.41  																																																																																																																											| (84)  ~ (all_26_0_30 = 0)
% 60.28/32.41  																																																																																																																											| (759) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0))
% 60.28/32.41  																																																																																																																											|
% 60.28/32.41  																																																																																																																												+-Applying beta-rule and splitting (273), into two cases.
% 60.28/32.41  																																																																																																																												|-Branch one:
% 60.28/32.41  																																																																																																																												| (340) all_26_0_30 = 0
% 60.28/32.41  																																																																																																																												|
% 60.28/32.41  																																																																																																																													| Equations (340) can reduce 84 to:
% 60.28/32.41  																																																																																																																													| (289) $false
% 60.28/32.41  																																																																																																																													|
% 60.28/32.41  																																																																																																																													|-The branch is then unsatisfiable
% 60.28/32.41  																																																																																																																												|-Branch two:
% 60.28/32.41  																																																																																																																												| (84)  ~ (all_26_0_30 = 0)
% 60.28/32.41  																																																																																																																												| (763) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0))
% 60.28/32.41  																																																																																																																												|
% 60.28/32.41  																																																																																																																													+-Applying beta-rule and splitting (275), into two cases.
% 60.28/32.41  																																																																																																																													|-Branch one:
% 60.28/32.41  																																																																																																																													| (340) all_26_0_30 = 0
% 60.28/32.41  																																																																																																																													|
% 60.28/32.41  																																																																																																																														| Equations (340) can reduce 84 to:
% 60.28/32.41  																																																																																																																														| (289) $false
% 60.28/32.41  																																																																																																																														|
% 60.28/32.41  																																																																																																																														|-The branch is then unsatisfiable
% 60.28/32.41  																																																																																																																													|-Branch two:
% 60.28/32.41  																																																																																																																													| (84)  ~ (all_26_0_30 = 0)
% 60.28/32.41  																																																																																																																													| (767) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 60.28/32.41  																																																																																																																													|
% 60.28/32.41  																																																																																																																														+-Applying beta-rule and splitting (280), into two cases.
% 60.28/32.41  																																																																																																																														|-Branch one:
% 60.28/32.41  																																																																																																																														| (332) all_22_0_26 = 0
% 60.28/32.41  																																																																																																																														|
% 60.28/32.41  																																																																																																																															| Equations (332) can reduce 76 to:
% 60.28/32.41  																																																																																																																															| (289) $false
% 60.28/32.41  																																																																																																																															|
% 60.28/32.41  																																																																																																																															|-The branch is then unsatisfiable
% 60.28/32.41  																																																																																																																														|-Branch two:
% 60.28/32.41  																																																																																																																														| (76)  ~ (all_22_0_26 = 0)
% 60.28/32.41  																																																																																																																														| (771) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0))
% 60.28/32.41  																																																																																																																														|
% 60.28/32.41  																																																																																																																															+-Applying beta-rule and splitting (281), into two cases.
% 60.28/32.41  																																																																																																																															|-Branch one:
% 60.28/32.41  																																																																																																																															| (332) all_22_0_26 = 0
% 60.28/32.41  																																																																																																																															|
% 60.28/32.41  																																																																																																																																| Equations (332) can reduce 76 to:
% 60.28/32.41  																																																																																																																																| (289) $false
% 60.28/32.41  																																																																																																																																|
% 60.28/32.41  																																																																																																																																|-The branch is then unsatisfiable
% 60.28/32.41  																																																																																																																															|-Branch two:
% 60.28/32.41  																																																																																																																															| (76)  ~ (all_22_0_26 = 0)
% 60.28/32.41  																																																																																																																															| (775) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0))
% 60.37/32.41  																																																																																																																															|
% 60.37/32.41  																																																																																																																																+-Applying beta-rule and splitting (283), into two cases.
% 60.37/32.41  																																																																																																																																|-Branch one:
% 60.37/32.41  																																																																																																																																| (332) all_22_0_26 = 0
% 60.37/32.41  																																																																																																																																|
% 60.37/32.41  																																																																																																																																	| Equations (332) can reduce 76 to:
% 60.37/32.41  																																																																																																																																	| (289) $false
% 60.37/32.41  																																																																																																																																	|
% 60.37/32.41  																																																																																																																																	|-The branch is then unsatisfiable
% 60.37/32.41  																																																																																																																																|-Branch two:
% 60.37/32.41  																																																																																																																																| (76)  ~ (all_22_0_26 = 0)
% 60.37/32.41  																																																																																																																																| (779) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 60.37/32.41  																																																																																																																																|
% 60.37/32.41  																																																																																																																																	+-Applying beta-rule and splitting (391), into two cases.
% 60.37/32.41  																																																																																																																																	|-Branch one:
% 60.37/32.41  																																																																																																																																	| (288) all_20_0_24 = 0
% 60.37/32.41  																																																																																																																																	|
% 60.37/32.41  																																																																																																																																		| Equations (288) can reduce 72 to:
% 60.37/32.41  																																																																																																																																		| (289) $false
% 60.37/32.41  																																																																																																																																		|
% 60.37/32.41  																																																																																																																																		|-The branch is then unsatisfiable
% 60.37/32.41  																																																																																																																																	|-Branch two:
% 60.37/32.41  																																																																																																																																	| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.41  																																																																																																																																	| (783)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 60.37/32.41  																																																																																																																																	|
% 60.37/32.41  																																																																																																																																		+-Applying beta-rule and splitting (395), into two cases.
% 60.37/32.41  																																																																																																																																		|-Branch one:
% 60.37/32.41  																																																																																																																																		| (288) all_20_0_24 = 0
% 60.37/32.41  																																																																																																																																		|
% 60.37/32.41  																																																																																																																																			| Equations (288) can reduce 72 to:
% 60.37/32.41  																																																																																																																																			| (289) $false
% 60.37/32.41  																																																																																																																																			|
% 60.37/32.41  																																																																																																																																			|-The branch is then unsatisfiable
% 60.37/32.41  																																																																																																																																		|-Branch two:
% 60.37/32.41  																																																																																																																																		| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.41  																																																																																																																																		| (787)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 60.37/32.41  																																																																																																																																		|
% 60.37/32.41  																																																																																																																																			+-Applying beta-rule and splitting (399), into two cases.
% 60.37/32.41  																																																																																																																																			|-Branch one:
% 60.37/32.41  																																																																																																																																			| (288) all_20_0_24 = 0
% 60.37/32.41  																																																																																																																																			|
% 60.37/32.41  																																																																																																																																				| Equations (288) can reduce 72 to:
% 60.37/32.41  																																																																																																																																				| (289) $false
% 60.37/32.41  																																																																																																																																				|
% 60.37/32.41  																																																																																																																																				|-The branch is then unsatisfiable
% 60.37/32.41  																																																																																																																																			|-Branch two:
% 60.37/32.41  																																																																																																																																			| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.41  																																																																																																																																			| (791)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 60.37/32.41  																																																																																																																																			|
% 60.37/32.41  																																																																																																																																				+-Applying beta-rule and splitting (411), into two cases.
% 60.37/32.41  																																																																																																																																				|-Branch one:
% 60.37/32.41  																																																																																																																																				| (332) all_22_0_26 = 0
% 60.37/32.41  																																																																																																																																				|
% 60.37/32.41  																																																																																																																																					| Equations (332) can reduce 76 to:
% 60.37/32.41  																																																																																																																																					| (289) $false
% 60.37/32.41  																																																																																																																																					|
% 60.37/32.41  																																																																																																																																					|-The branch is then unsatisfiable
% 60.37/32.41  																																																																																																																																				|-Branch two:
% 60.37/32.41  																																																																																																																																				| (76)  ~ (all_22_0_26 = 0)
% 60.37/32.41  																																																																																																																																				| (795)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 60.37/32.41  																																																																																																																																				|
% 60.37/32.41  																																																																																																																																					+-Applying beta-rule and splitting (427), into two cases.
% 60.37/32.41  																																																																																																																																					|-Branch one:
% 60.37/32.41  																																																																																																																																					| (332) all_22_0_26 = 0
% 60.37/32.41  																																																																																																																																					|
% 60.37/32.41  																																																																																																																																						| Equations (332) can reduce 76 to:
% 60.37/32.41  																																																																																																																																						| (289) $false
% 60.37/32.41  																																																																																																																																						|
% 60.37/32.41  																																																																																																																																						|-The branch is then unsatisfiable
% 60.37/32.41  																																																																																																																																					|-Branch two:
% 60.37/32.41  																																																																																																																																					| (76)  ~ (all_22_0_26 = 0)
% 60.37/32.41  																																																																																																																																					| (799)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 60.37/32.41  																																																																																																																																					|
% 60.37/32.41  																																																																																																																																						+-Applying beta-rule and splitting (567), into two cases.
% 60.37/32.41  																																																																																																																																						|-Branch one:
% 60.37/32.41  																																																																																																																																						| (292) all_32_0_36 = 0
% 60.37/32.41  																																																																																																																																						|
% 60.37/32.41  																																																																																																																																							| Equations (292) can reduce 96 to:
% 60.37/32.41  																																																																																																																																							| (289) $false
% 60.37/32.41  																																																																																																																																							|
% 60.37/32.41  																																																																																																																																							|-The branch is then unsatisfiable
% 60.37/32.41  																																																																																																																																						|-Branch two:
% 60.37/32.41  																																																																																																																																						| (96)  ~ (all_32_0_36 = 0)
% 60.37/32.41  																																																																																																																																						| (803)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0))
% 60.37/32.41  																																																																																																																																						|
% 60.37/32.41  																																																																																																																																							+-Applying beta-rule and splitting (595), into two cases.
% 60.37/32.41  																																																																																																																																							|-Branch one:
% 60.37/32.41  																																																																																																																																							| (288) all_20_0_24 = 0
% 60.37/32.41  																																																																																																																																							|
% 60.37/32.41  																																																																																																																																								| Equations (288) can reduce 72 to:
% 60.37/32.41  																																																																																																																																								| (289) $false
% 60.37/32.41  																																																																																																																																								|
% 60.37/32.41  																																																																																																																																								|-The branch is then unsatisfiable
% 60.37/32.41  																																																																																																																																							|-Branch two:
% 60.37/32.41  																																																																																																																																							| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.41  																																																																																																																																							| (807)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 60.37/32.41  																																																																																																																																							|
% 60.37/32.41  																																																																																																																																								+-Applying beta-rule and splitting (599), into two cases.
% 60.37/32.41  																																																																																																																																								|-Branch one:
% 60.37/32.41  																																																																																																																																								| (288) all_20_0_24 = 0
% 60.37/32.41  																																																																																																																																								|
% 60.37/32.41  																																																																																																																																									| Equations (288) can reduce 72 to:
% 60.37/32.41  																																																																																																																																									| (289) $false
% 60.37/32.41  																																																																																																																																									|
% 60.37/32.41  																																																																																																																																									|-The branch is then unsatisfiable
% 60.37/32.41  																																																																																																																																								|-Branch two:
% 60.37/32.41  																																																																																																																																								| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.41  																																																																																																																																								| (811)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 60.37/32.41  																																																																																																																																								|
% 60.37/32.41  																																																																																																																																									| Instantiating (811) with all_548_0_5751 yields:
% 60.37/32.41  																																																																																																																																									| (812) (all_548_0_5751 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (all_548_0_5751 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (all_548_0_5751 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = all_548_0_5751) | ( ~ (all_548_0_5751 = 0) & distinct_points(all_0_0_0, all_0_5_5) = all_548_0_5751)
% 60.37/32.41  																																																																																																																																									|
% 60.37/32.41  																																																																																																																																									+-Applying beta-rule and splitting (607), into two cases.
% 60.37/32.41  																																																																																																																																									|-Branch one:
% 60.37/32.41  																																																																																																																																									| (288) all_20_0_24 = 0
% 60.37/32.41  																																																																																																																																									|
% 60.37/32.41  																																																																																																																																										| Equations (288) can reduce 72 to:
% 60.37/32.41  																																																																																																																																										| (289) $false
% 60.37/32.41  																																																																																																																																										|
% 60.37/32.41  																																																																																																																																										|-The branch is then unsatisfiable
% 60.37/32.41  																																																																																																																																									|-Branch two:
% 60.37/32.41  																																																																																																																																									| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.41  																																																																																																																																									| (816)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 60.37/32.41  																																																																																																																																									|
% 60.37/32.41  																																																																																																																																										+-Applying beta-rule and splitting (651), into two cases.
% 60.37/32.41  																																																																																																																																										|-Branch one:
% 60.37/32.41  																																																																																																																																										| (292) all_32_0_36 = 0
% 60.37/32.41  																																																																																																																																										|
% 60.37/32.41  																																																																																																																																											| Equations (292) can reduce 96 to:
% 60.37/32.41  																																																																																																																																											| (289) $false
% 60.37/32.41  																																																																																																																																											|
% 60.37/32.41  																																																																																																																																											|-The branch is then unsatisfiable
% 60.37/32.41  																																																																																																																																										|-Branch two:
% 60.37/32.41  																																																																																																																																										| (96)  ~ (all_32_0_36 = 0)
% 60.37/32.41  																																																																																																																																										| (820)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_0_0) = v0))
% 60.37/32.41  																																																																																																																																										|
% 60.37/32.41  																																																																																																																																											+-Applying beta-rule and splitting (699), into two cases.
% 60.37/32.41  																																																																																																																																											|-Branch one:
% 60.37/32.41  																																																																																																																																											| (288) all_20_0_24 = 0
% 60.37/32.41  																																																																																																																																											|
% 60.37/32.41  																																																																																																																																												| Equations (288) can reduce 72 to:
% 60.37/32.41  																																																																																																																																												| (289) $false
% 60.37/32.41  																																																																																																																																												|
% 60.37/32.41  																																																																																																																																												|-The branch is then unsatisfiable
% 60.37/32.41  																																																																																																																																											|-Branch two:
% 60.37/32.41  																																																																																																																																											| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.41  																																																																																																																																											| (824)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 60.37/32.41  																																																																																																																																											|
% 60.37/32.41  																																																																																																																																												+-Applying beta-rule and splitting (719), into two cases.
% 60.37/32.41  																																																																																																																																												|-Branch one:
% 60.37/32.41  																																																																																																																																												| (288) all_20_0_24 = 0
% 60.37/32.41  																																																																																																																																												|
% 60.37/32.41  																																																																																																																																													| Equations (288) can reduce 72 to:
% 60.37/32.41  																																																																																																																																													| (289) $false
% 60.37/32.41  																																																																																																																																													|
% 60.37/32.41  																																																																																																																																													|-The branch is then unsatisfiable
% 60.37/32.41  																																																																																																																																												|-Branch two:
% 60.37/32.41  																																																																																																																																												| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.41  																																																																																																																																												| (828)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0))
% 60.37/32.41  																																																																																																																																												|
% 60.37/32.41  																																																																																																																																													| Instantiating (828) with all_616_0_5768 yields:
% 60.37/32.41  																																																																																																																																													| (829) (all_616_0_5768 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (all_616_0_5768 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (all_616_0_5768 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = all_616_0_5768)
% 60.37/32.41  																																																																																																																																													|
% 60.37/32.41  																																																																																																																																													+-Applying beta-rule and splitting (723), into two cases.
% 60.37/32.41  																																																																																																																																													|-Branch one:
% 60.37/32.41  																																																																																																																																													| (288) all_20_0_24 = 0
% 60.37/32.41  																																																																																																																																													|
% 60.37/32.41  																																																																																																																																														| Equations (288) can reduce 72 to:
% 60.37/32.41  																																																																																																																																														| (289) $false
% 60.37/32.41  																																																																																																																																														|
% 60.37/32.41  																																																																																																																																														|-The branch is then unsatisfiable
% 60.37/32.41  																																																																																																																																													|-Branch two:
% 60.37/32.41  																																																																																																																																													| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.41  																																																																																																																																													| (833)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0))
% 60.37/32.41  																																																																																																																																													|
% 60.37/32.41  																																																																																																																																														+-Applying beta-rule and splitting (727), into two cases.
% 60.37/32.41  																																																																																																																																														|-Branch one:
% 60.37/32.41  																																																																																																																																														| (288) all_20_0_24 = 0
% 60.37/32.41  																																																																																																																																														|
% 60.37/32.41  																																																																																																																																															| Equations (288) can reduce 72 to:
% 60.37/32.41  																																																																																																																																															| (289) $false
% 60.37/32.41  																																																																																																																																															|
% 60.37/32.41  																																																																																																																																															|-The branch is then unsatisfiable
% 60.37/32.41  																																																																																																																																														|-Branch two:
% 60.37/32.41  																																																																																																																																														| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.41  																																																																																																																																														| (837)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0))
% 60.37/32.41  																																																																																																																																														|
% 60.37/32.41  																																																																																																																																															+-Applying beta-rule and splitting (743), into two cases.
% 60.37/32.41  																																																																																																																																															|-Branch one:
% 60.37/32.41  																																																																																																																																															| (288) all_20_0_24 = 0
% 60.37/32.41  																																																																																																																																															|
% 60.37/32.41  																																																																																																																																																| Equations (288) can reduce 72 to:
% 60.37/32.41  																																																																																																																																																| (289) $false
% 60.37/32.41  																																																																																																																																																|
% 60.37/32.41  																																																																																																																																																|-The branch is then unsatisfiable
% 60.37/32.41  																																																																																																																																															|-Branch two:
% 60.37/32.41  																																																																																																																																															| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.41  																																																																																																																																															| (841)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0))
% 60.37/32.41  																																																																																																																																															|
% 60.37/32.41  																																																																																																																																																+-Applying beta-rule and splitting (755), into two cases.
% 60.37/32.41  																																																																																																																																																|-Branch one:
% 60.37/32.41  																																																																																																																																																| (288) all_20_0_24 = 0
% 60.37/32.41  																																																																																																																																																|
% 60.37/32.41  																																																																																																																																																	| Equations (288) can reduce 72 to:
% 60.37/32.41  																																																																																																																																																	| (289) $false
% 60.37/32.41  																																																																																																																																																	|
% 60.37/32.41  																																																																																																																																																	|-The branch is then unsatisfiable
% 60.37/32.41  																																																																																																																																																|-Branch two:
% 60.37/32.41  																																																																																																																																																| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.42  																																																																																																																																																| (845)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 60.37/32.42  																																																																																																																																																|
% 60.37/32.42  																																																																																																																																																	+-Applying beta-rule and splitting (759), into two cases.
% 60.37/32.42  																																																																																																																																																	|-Branch one:
% 60.37/32.42  																																																																																																																																																	| (288) all_20_0_24 = 0
% 60.37/32.42  																																																																																																																																																	|
% 60.37/32.42  																																																																																																																																																		| Equations (288) can reduce 72 to:
% 60.37/32.42  																																																																																																																																																		| (289) $false
% 60.37/32.42  																																																																																																																																																		|
% 60.37/32.42  																																																																																																																																																		|-The branch is then unsatisfiable
% 60.37/32.42  																																																																																																																																																	|-Branch two:
% 60.37/32.42  																																																																																																																																																	| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.42  																																																																																																																																																	| (849)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0))
% 60.37/32.42  																																																																																																																																																	|
% 60.37/32.42  																																																																																																																																																		+-Applying beta-rule and splitting (767), into two cases.
% 60.37/32.42  																																																																																																																																																		|-Branch one:
% 60.37/32.42  																																																																																																																																																		| (288) all_20_0_24 = 0
% 60.37/32.42  																																																																																																																																																		|
% 60.37/32.42  																																																																																																																																																			| Equations (288) can reduce 72 to:
% 60.37/32.42  																																																																																																																																																			| (289) $false
% 60.37/32.42  																																																																																																																																																			|
% 60.37/32.42  																																																																																																																																																			|-The branch is then unsatisfiable
% 60.37/32.42  																																																																																																																																																		|-Branch two:
% 60.37/32.42  																																																																																																																																																		| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.42  																																																																																																																																																		| (853)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 60.37/32.42  																																																																																																																																																		|
% 60.37/32.42  																																																																																																																																																			+-Applying beta-rule and splitting (771), into two cases.
% 60.37/32.42  																																																																																																																																																			|-Branch one:
% 60.37/32.42  																																																																																																																																																			| (288) all_20_0_24 = 0
% 60.37/32.42  																																																																																																																																																			|
% 60.37/32.42  																																																																																																																																																				| Equations (288) can reduce 72 to:
% 60.37/32.42  																																																																																																																																																				| (289) $false
% 60.37/32.42  																																																																																																																																																				|
% 60.37/32.42  																																																																																																																																																				|-The branch is then unsatisfiable
% 60.37/32.42  																																																																																																																																																			|-Branch two:
% 60.37/32.42  																																																																																																																																																			| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.42  																																																																																																																																																			| (857)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0))
% 60.37/32.42  																																																																																																																																																			|
% 60.37/32.42  																																																																																																																																																				+-Applying beta-rule and splitting (779), into two cases.
% 60.37/32.42  																																																																																																																																																				|-Branch one:
% 60.37/32.42  																																																																																																																																																				| (288) all_20_0_24 = 0
% 60.37/32.42  																																																																																																																																																				|
% 60.37/32.42  																																																																																																																																																					| Equations (288) can reduce 72 to:
% 60.37/32.42  																																																																																																																																																					| (289) $false
% 60.37/32.42  																																																																																																																																																					|
% 60.37/32.42  																																																																																																																																																					|-The branch is then unsatisfiable
% 60.37/32.42  																																																																																																																																																				|-Branch two:
% 60.37/32.42  																																																																																																																																																				| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.42  																																																																																																																																																				| (861)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 60.37/32.42  																																																																																																																																																				|
% 60.37/32.42  																																																																																																																																																					+-Applying beta-rule and splitting (419), into two cases.
% 60.37/32.42  																																																																																																																																																					|-Branch one:
% 60.37/32.42  																																																																																																																																																					| (332) all_22_0_26 = 0
% 60.37/32.42  																																																																																																																																																					|
% 60.37/32.42  																																																																																																																																																						| Equations (332) can reduce 76 to:
% 60.37/32.42  																																																																																																																																																						| (289) $false
% 60.37/32.42  																																																																																																																																																						|
% 60.37/32.42  																																																																																																																																																						|-The branch is then unsatisfiable
% 60.37/32.42  																																																																																																																																																					|-Branch two:
% 60.37/32.42  																																																																																																																																																					| (76)  ~ (all_22_0_26 = 0)
% 60.37/32.42  																																																																																																																																																					| (865)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0))
% 60.37/32.42  																																																																																																																																																					|
% 60.37/32.42  																																																																																																																																																						+-Applying beta-rule and splitting (735), into two cases.
% 60.37/32.42  																																																																																																																																																						|-Branch one:
% 60.37/32.42  																																																																																																																																																						| (288) all_20_0_24 = 0
% 60.37/32.42  																																																																																																																																																						|
% 60.37/32.42  																																																																																																																																																							| Equations (288) can reduce 72 to:
% 60.37/32.42  																																																																																																																																																							| (289) $false
% 60.37/32.42  																																																																																																																																																							|
% 60.37/32.42  																																																																																																																																																							|-The branch is then unsatisfiable
% 60.37/32.42  																																																																																																																																																						|-Branch two:
% 60.37/32.42  																																																																																																																																																						| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.42  																																																																																																																																																						| (869)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 60.37/32.42  																																																																																																																																																						|
% 60.37/32.42  																																																																																																																																																							+-Applying beta-rule and splitting (451), into two cases.
% 60.37/32.42  																																																																																																																																																							|-Branch one:
% 60.37/32.42  																																																																																																																																																							| (332) all_22_0_26 = 0
% 60.37/32.42  																																																																																																																																																							|
% 60.37/32.42  																																																																																																																																																								| Equations (332) can reduce 76 to:
% 60.37/32.42  																																																																																																																																																								| (289) $false
% 60.37/32.42  																																																																																																																																																								|
% 60.37/32.42  																																																																																																																																																								|-The branch is then unsatisfiable
% 60.37/32.42  																																																																																																																																																							|-Branch two:
% 60.37/32.42  																																																																																																																																																							| (76)  ~ (all_22_0_26 = 0)
% 60.37/32.42  																																																																																																																																																							| (873)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 60.37/32.42  																																																																																																																																																							|
% 60.37/32.42  																																																																																																																																																								+-Applying beta-rule and splitting (463), into two cases.
% 60.37/32.42  																																																																																																																																																								|-Branch one:
% 60.37/32.42  																																																																																																																																																								| (332) all_22_0_26 = 0
% 60.37/32.42  																																																																																																																																																								|
% 60.37/32.42  																																																																																																																																																									| Equations (332) can reduce 76 to:
% 60.37/32.42  																																																																																																																																																									| (289) $false
% 60.37/32.42  																																																																																																																																																									|
% 60.37/32.42  																																																																																																																																																									|-The branch is then unsatisfiable
% 60.37/32.42  																																																																																																																																																								|-Branch two:
% 60.37/32.42  																																																																																																																																																								| (76)  ~ (all_22_0_26 = 0)
% 60.37/32.42  																																																																																																																																																								| (877)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 60.37/32.42  																																																																																																																																																								|
% 60.37/32.42  																																																																																																																																																									+-Applying beta-rule and splitting (467), into two cases.
% 60.37/32.42  																																																																																																																																																									|-Branch one:
% 60.37/32.42  																																																																																																																																																									| (332) all_22_0_26 = 0
% 60.37/32.42  																																																																																																																																																									|
% 60.37/32.42  																																																																																																																																																										| Equations (332) can reduce 76 to:
% 60.37/32.42  																																																																																																																																																										| (289) $false
% 60.37/32.42  																																																																																																																																																										|
% 60.37/32.42  																																																																																																																																																										|-The branch is then unsatisfiable
% 60.37/32.42  																																																																																																																																																									|-Branch two:
% 60.37/32.42  																																																																																																																																																									| (76)  ~ (all_22_0_26 = 0)
% 60.37/32.42  																																																																																																																																																									| (881)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 60.37/32.42  																																																																																																																																																									|
% 60.37/32.42  																																																																																																																																																										+-Applying beta-rule and splitting (711), into two cases.
% 60.37/32.42  																																																																																																																																																										|-Branch one:
% 60.37/32.42  																																																																																																																																																										| (288) all_20_0_24 = 0
% 60.37/32.42  																																																																																																																																																										|
% 60.37/32.42  																																																																																																																																																											| Equations (288) can reduce 72 to:
% 60.37/32.42  																																																																																																																																																											| (289) $false
% 60.37/32.42  																																																																																																																																																											|
% 60.37/32.42  																																																																																																																																																											|-The branch is then unsatisfiable
% 60.37/32.42  																																																																																																																																																										|-Branch two:
% 60.37/32.42  																																																																																																																																																										| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.42  																																																																																																																																																										| (885)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0))
% 60.37/32.42  																																																																																																																																																										|
% 60.37/32.42  																																																																																																																																																											+-Applying beta-rule and splitting (715), into two cases.
% 60.37/32.42  																																																																																																																																																											|-Branch one:
% 60.37/32.42  																																																																																																																																																											| (288) all_20_0_24 = 0
% 60.37/32.42  																																																																																																																																																											|
% 60.37/32.42  																																																																																																																																																												| Equations (288) can reduce 72 to:
% 60.37/32.42  																																																																																																																																																												| (289) $false
% 60.37/32.42  																																																																																																																																																												|
% 60.37/32.42  																																																																																																																																																												|-The branch is then unsatisfiable
% 60.37/32.42  																																																																																																																																																											|-Branch two:
% 60.37/32.42  																																																																																																																																																											| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.42  																																																																																																																																																											| (889)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 60.37/32.42  																																																																																																																																																											|
% 60.37/32.42  																																																																																																																																																												+-Applying beta-rule and splitting (763), into two cases.
% 60.37/32.42  																																																																																																																																																												|-Branch one:
% 60.37/32.42  																																																																																																																																																												| (288) all_20_0_24 = 0
% 60.37/32.42  																																																																																																																																																												|
% 60.37/32.42  																																																																																																																																																													| Equations (288) can reduce 72 to:
% 60.37/32.42  																																																																																																																																																													| (289) $false
% 60.37/32.42  																																																																																																																																																													|
% 60.37/32.42  																																																																																																																																																													|-The branch is then unsatisfiable
% 60.37/32.42  																																																																																																																																																												|-Branch two:
% 60.37/32.42  																																																																																																																																																												| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.42  																																																																																																																																																												| (893)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0))
% 60.37/32.42  																																																																																																																																																												|
% 60.37/32.42  																																																																																																																																																													+-Applying beta-rule and splitting (829), into two cases.
% 60.37/32.42  																																																																																																																																																													|-Branch one:
% 60.37/32.42  																																																																																																																																																													| (894) (all_616_0_5768 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (all_616_0_5768 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0)
% 60.37/32.42  																																																																																																																																																													|
% 60.37/32.42  																																																																																																																																																														+-Applying beta-rule and splitting (894), into two cases.
% 60.37/32.42  																																																																																																																																																														|-Branch one:
% 60.37/32.42  																																																																																																																																																														| (895) all_616_0_5768 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0
% 60.37/32.42  																																																																																																																																																														|
% 60.37/32.42  																																																																																																																																																															| Applying alpha-rule on (895) yields:
% 60.37/32.42  																																																																																																																																																															| (896) all_616_0_5768 = 0
% 60.37/32.42  																																																																																																																																																															| (897) apart_point_and_line(all_0_0_0, all_0_1_1) = 0
% 60.37/32.42  																																																																																																																																																															|
% 60.37/32.42  																																																																																																																																																															| Instantiating formula (15) with all_0_0_0, all_0_1_1, 0, all_36_0_40 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_0_0, all_0_1_1) = 0, yields:
% 60.37/32.42  																																																																																																																																																															| (308) all_36_0_40 = 0
% 60.37/32.42  																																																																																																																																																															|
% 60.37/32.42  																																																																																																																																																															| Equations (308) can reduce 102 to:
% 60.37/32.42  																																																																																																																																																															| (289) $false
% 60.37/32.42  																																																																																																																																																															|
% 60.37/32.42  																																																																																																																																																															|-The branch is then unsatisfiable
% 60.37/32.42  																																																																																																																																																														|-Branch two:
% 60.37/32.42  																																																																																																																																																														| (900) all_616_0_5768 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0
% 60.37/32.42  																																																																																																																																																														|
% 60.37/32.42  																																																																																																																																																															| Applying alpha-rule on (900) yields:
% 60.37/32.42  																																																																																																																																																															| (896) all_616_0_5768 = 0
% 60.37/32.42  																																																																																																																																																															| (902) apart_point_and_line(all_0_0_0, all_0_2_2) = 0
% 60.37/32.42  																																																																																																																																																															|
% 60.37/32.42  																																																																																																																																																															+-Applying beta-rule and splitting (655), into two cases.
% 60.37/32.42  																																																																																																																																																															|-Branch one:
% 60.37/32.42  																																																																																																																																																															| (292) all_32_0_36 = 0
% 60.37/32.42  																																																																																																																																																															|
% 60.37/32.42  																																																																																																																																																																| Equations (292) can reduce 96 to:
% 60.37/32.42  																																																																																																																																																																| (289) $false
% 60.37/32.42  																																																																																																																																																																|
% 60.37/32.42  																																																																																																																																																																|-The branch is then unsatisfiable
% 60.37/32.42  																																																																																																																																																															|-Branch two:
% 60.37/32.42  																																																																																																																																																															| (96)  ~ (all_32_0_36 = 0)
% 60.37/32.42  																																																																																																																																																															| (906)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_0_0) = v0))
% 60.37/32.42  																																																																																																																																																															|
% 60.37/32.42  																																																																																																																																																																+-Applying beta-rule and splitting (563), into two cases.
% 60.37/32.42  																																																																																																																																																																|-Branch one:
% 60.37/32.42  																																																																																																																																																																| (292) all_32_0_36 = 0
% 60.37/32.42  																																																																																																																																																																|
% 60.37/32.42  																																																																																																																																																																	| Equations (292) can reduce 96 to:
% 60.37/32.42  																																																																																																																																																																	| (289) $false
% 60.37/32.42  																																																																																																																																																																	|
% 60.37/32.42  																																																																																																																																																																	|-The branch is then unsatisfiable
% 60.37/32.42  																																																																																																																																																																|-Branch two:
% 60.37/32.42  																																																																																																																																																																| (96)  ~ (all_32_0_36 = 0)
% 60.37/32.42  																																																																																																																																																																| (910)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0))
% 60.37/32.42  																																																																																																																																																																|
% 60.37/32.42  																																																																																																																																																																	| Instantiating formula (15) with all_0_0_0, all_0_2_2, 0, all_32_0_36 and discharging atoms apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, apart_point_and_line(all_0_0_0, all_0_2_2) = 0, yields:
% 60.37/32.42  																																																																																																																																																																	| (292) all_32_0_36 = 0
% 60.37/32.42  																																																																																																																																																																	|
% 60.37/32.42  																																																																																																																																																																	| Equations (292) can reduce 96 to:
% 60.37/32.42  																																																																																																																																																																	| (289) $false
% 60.37/32.42  																																																																																																																																																																	|
% 60.37/32.42  																																																																																																																																																																	|-The branch is then unsatisfiable
% 60.37/32.42  																																																																																																																																																													|-Branch two:
% 60.37/32.42  																																																																																																																																																													| (913)  ~ (all_616_0_5768 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = all_616_0_5768
% 60.37/32.42  																																																																																																																																																													|
% 60.37/32.42  																																																																																																																																																														| Applying alpha-rule on (913) yields:
% 60.37/32.42  																																																																																																																																																														| (914)  ~ (all_616_0_5768 = 0)
% 60.37/32.42  																																																																																																																																																														| (915) distinct_lines(all_0_1_1, all_0_2_2) = all_616_0_5768
% 60.37/32.42  																																																																																																																																																														|
% 60.37/32.42  																																																																																																																																																														+-Applying beta-rule and splitting (415), into two cases.
% 60.37/32.42  																																																																																																																																																														|-Branch one:
% 60.37/32.42  																																																																																																																																																														| (332) all_22_0_26 = 0
% 60.37/32.42  																																																																																																																																																														|
% 60.37/32.42  																																																																																																																																																															| Equations (332) can reduce 76 to:
% 60.37/32.42  																																																																																																																																																															| (289) $false
% 60.37/32.42  																																																																																																																																																															|
% 60.37/32.42  																																																																																																																																																															|-The branch is then unsatisfiable
% 60.37/32.42  																																																																																																																																																														|-Branch two:
% 60.37/32.42  																																																																																																																																																														| (76)  ~ (all_22_0_26 = 0)
% 60.37/32.42  																																																																																																																																																														| (919)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 60.37/32.42  																																																																																																																																																														|
% 60.37/32.42  																																																																																																																																																															+-Applying beta-rule and splitting (431), into two cases.
% 60.37/32.42  																																																																																																																																																															|-Branch one:
% 60.37/32.42  																																																																																																																																																															| (332) all_22_0_26 = 0
% 60.37/32.42  																																																																																																																																																															|
% 60.37/32.42  																																																																																																																																																																| Equations (332) can reduce 76 to:
% 60.37/32.42  																																																																																																																																																																| (289) $false
% 60.37/32.42  																																																																																																																																																																|
% 60.37/32.42  																																																																																																																																																																|-The branch is then unsatisfiable
% 60.37/32.42  																																																																																																																																																															|-Branch two:
% 60.37/32.42  																																																																																																																																																															| (76)  ~ (all_22_0_26 = 0)
% 60.37/32.42  																																																																																																																																																															| (923)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 60.37/32.42  																																																																																																																																																															|
% 60.37/32.42  																																																																																																																																																																| Instantiating (923) with all_780_0_11715 yields:
% 60.37/32.42  																																																																																																																																																																| (924) (all_780_0_11715 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (all_780_0_11715 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (all_780_0_11715 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = all_780_0_11715) | ( ~ (all_780_0_11715 = 0) & distinct_points(all_0_0_0, all_0_5_5) = all_780_0_11715)
% 60.37/32.42  																																																																																																																																																																|
% 60.37/32.42  																																																																																																																																																																+-Applying beta-rule and splitting (439), into two cases.
% 60.37/32.42  																																																																																																																																																																|-Branch one:
% 60.37/32.42  																																																																																																																																																																| (332) all_22_0_26 = 0
% 60.37/32.42  																																																																																																																																																																|
% 60.37/32.42  																																																																																																																																																																	| Equations (332) can reduce 76 to:
% 60.37/32.42  																																																																																																																																																																	| (289) $false
% 60.37/32.42  																																																																																																																																																																	|
% 60.37/32.42  																																																																																																																																																																	|-The branch is then unsatisfiable
% 60.37/32.42  																																																																																																																																																																|-Branch two:
% 60.37/32.42  																																																																																																																																																																| (76)  ~ (all_22_0_26 = 0)
% 60.37/32.42  																																																																																																																																																																| (928)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 60.37/32.42  																																																																																																																																																																|
% 60.37/32.42  																																																																																																																																																																	+-Applying beta-rule and splitting (459), into two cases.
% 60.37/32.42  																																																																																																																																																																	|-Branch one:
% 60.37/32.42  																																																																																																																																																																	| (332) all_22_0_26 = 0
% 60.37/32.42  																																																																																																																																																																	|
% 60.37/32.42  																																																																																																																																																																		| Equations (332) can reduce 76 to:
% 60.37/32.42  																																																																																																																																																																		| (289) $false
% 60.37/32.42  																																																																																																																																																																		|
% 60.37/32.42  																																																																																																																																																																		|-The branch is then unsatisfiable
% 60.37/32.42  																																																																																																																																																																	|-Branch two:
% 60.37/32.42  																																																																																																																																																																	| (76)  ~ (all_22_0_26 = 0)
% 60.37/32.42  																																																																																																																																																																	| (932)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 60.37/32.42  																																																																																																																																																																	|
% 60.37/32.42  																																																																																																																																																																		+-Applying beta-rule and splitting (471), into two cases.
% 60.37/32.42  																																																																																																																																																																		|-Branch one:
% 60.37/32.42  																																																																																																																																																																		| (332) all_22_0_26 = 0
% 60.37/32.42  																																																																																																																																																																		|
% 60.37/32.42  																																																																																																																																																																			| Equations (332) can reduce 76 to:
% 60.37/32.42  																																																																																																																																																																			| (289) $false
% 60.37/32.42  																																																																																																																																																																			|
% 60.37/32.42  																																																																																																																																																																			|-The branch is then unsatisfiable
% 60.37/32.42  																																																																																																																																																																		|-Branch two:
% 60.37/32.42  																																																																																																																																																																		| (76)  ~ (all_22_0_26 = 0)
% 60.37/32.42  																																																																																																																																																																		| (936)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0))
% 60.37/32.42  																																																																																																																																																																		|
% 60.37/32.42  																																																																																																																																																																			+-Applying beta-rule and splitting (475), into two cases.
% 60.37/32.42  																																																																																																																																																																			|-Branch one:
% 60.37/32.42  																																																																																																																																																																			| (332) all_22_0_26 = 0
% 60.37/32.42  																																																																																																																																																																			|
% 60.37/32.42  																																																																																																																																																																				| Equations (332) can reduce 76 to:
% 60.37/32.42  																																																																																																																																																																				| (289) $false
% 60.37/32.43  																																																																																																																																																																				|
% 60.37/32.43  																																																																																																																																																																				|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																			|-Branch two:
% 60.37/32.43  																																																																																																																																																																			| (76)  ~ (all_22_0_26 = 0)
% 60.37/32.43  																																																																																																																																																																			| (940)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0))
% 60.37/32.43  																																																																																																																																																																			|
% 60.37/32.43  																																																																																																																																																																				+-Applying beta-rule and splitting (483), into two cases.
% 60.37/32.43  																																																																																																																																																																				|-Branch one:
% 60.37/32.43  																																																																																																																																																																				| (332) all_22_0_26 = 0
% 60.37/32.43  																																																																																																																																																																				|
% 60.37/32.43  																																																																																																																																																																					| Equations (332) can reduce 76 to:
% 60.37/32.43  																																																																																																																																																																					| (289) $false
% 60.37/32.43  																																																																																																																																																																					|
% 60.37/32.43  																																																																																																																																																																					|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																				|-Branch two:
% 60.37/32.43  																																																																																																																																																																				| (76)  ~ (all_22_0_26 = 0)
% 60.37/32.43  																																																																																																																																																																				| (944)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0))
% 60.37/32.43  																																																																																																																																																																				|
% 60.37/32.43  																																																																																																																																																																					+-Applying beta-rule and splitting (495), into two cases.
% 60.37/32.43  																																																																																																																																																																					|-Branch one:
% 60.37/32.43  																																																																																																																																																																					| (332) all_22_0_26 = 0
% 60.37/32.43  																																																																																																																																																																					|
% 60.37/32.43  																																																																																																																																																																						| Equations (332) can reduce 76 to:
% 60.37/32.43  																																																																																																																																																																						| (289) $false
% 60.37/32.43  																																																																																																																																																																						|
% 60.37/32.43  																																																																																																																																																																						|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																					|-Branch two:
% 60.37/32.43  																																																																																																																																																																					| (76)  ~ (all_22_0_26 = 0)
% 60.37/32.43  																																																																																																																																																																					| (948)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 60.37/32.43  																																																																																																																																																																					|
% 60.37/32.43  																																																																																																																																																																						+-Applying beta-rule and splitting (679), into two cases.
% 60.37/32.43  																																																																																																																																																																						|-Branch one:
% 60.37/32.43  																																																																																																																																																																						| (288) all_20_0_24 = 0
% 60.37/32.43  																																																																																																																																																																						|
% 60.37/32.43  																																																																																																																																																																							| Equations (288) can reduce 72 to:
% 60.37/32.43  																																																																																																																																																																							| (289) $false
% 60.37/32.43  																																																																																																																																																																							|
% 60.37/32.43  																																																																																																																																																																							|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																						|-Branch two:
% 60.37/32.43  																																																																																																																																																																						| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.43  																																																																																																																																																																						| (952)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0))
% 60.37/32.43  																																																																																																																																																																						|
% 60.37/32.43  																																																																																																																																																																							+-Applying beta-rule and splitting (731), into two cases.
% 60.37/32.43  																																																																																																																																																																							|-Branch one:
% 60.37/32.43  																																																																																																																																																																							| (288) all_20_0_24 = 0
% 60.37/32.43  																																																																																																																																																																							|
% 60.37/32.43  																																																																																																																																																																								| Equations (288) can reduce 72 to:
% 60.37/32.43  																																																																																																																																																																								| (289) $false
% 60.37/32.43  																																																																																																																																																																								|
% 60.37/32.43  																																																																																																																																																																								|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																							|-Branch two:
% 60.37/32.43  																																																																																																																																																																							| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.43  																																																																																																																																																																							| (956)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0))
% 60.37/32.43  																																																																																																																																																																							|
% 60.37/32.43  																																																																																																																																																																								+-Applying beta-rule and splitting (747), into two cases.
% 60.37/32.43  																																																																																																																																																																								|-Branch one:
% 60.37/32.43  																																																																																																																																																																								| (288) all_20_0_24 = 0
% 60.37/32.43  																																																																																																																																																																								|
% 60.37/32.43  																																																																																																																																																																									| Equations (288) can reduce 72 to:
% 60.37/32.43  																																																																																																																																																																									| (289) $false
% 60.37/32.43  																																																																																																																																																																									|
% 60.37/32.43  																																																																																																																																																																									|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																								|-Branch two:
% 60.37/32.43  																																																																																																																																																																								| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.43  																																																																																																																																																																								| (960)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0))
% 60.37/32.43  																																																																																																																																																																								|
% 60.37/32.43  																																																																																																																																																																									+-Applying beta-rule and splitting (924), into two cases.
% 60.37/32.43  																																																																																																																																																																									|-Branch one:
% 60.37/32.43  																																																																																																																																																																									| (961) (all_780_0_11715 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (all_780_0_11715 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (all_780_0_11715 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = all_780_0_11715)
% 60.37/32.43  																																																																																																																																																																									|
% 60.37/32.43  																																																																																																																																																																										+-Applying beta-rule and splitting (961), into two cases.
% 60.37/32.43  																																																																																																																																																																										|-Branch one:
% 60.37/32.43  																																																																																																																																																																										| (962) (all_780_0_11715 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (all_780_0_11715 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0)
% 60.37/32.43  																																																																																																																																																																										|
% 60.37/32.43  																																																																																																																																																																											+-Applying beta-rule and splitting (962), into two cases.
% 60.37/32.43  																																																																																																																																																																											|-Branch one:
% 60.37/32.43  																																																																																																																																																																											| (963) all_780_0_11715 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0
% 60.37/32.43  																																																																																																																																																																											|
% 60.37/32.43  																																																																																																																																																																												| Applying alpha-rule on (963) yields:
% 60.37/32.43  																																																																																																																																																																												| (964) all_780_0_11715 = 0
% 60.37/32.43  																																																																																																																																																																												| (897) apart_point_and_line(all_0_0_0, all_0_1_1) = 0
% 60.37/32.43  																																																																																																																																																																												|
% 60.37/32.43  																																																																																																																																																																												| Instantiating formula (15) with all_0_0_0, all_0_1_1, 0, all_36_0_40 and discharging atoms apart_point_and_line(all_0_0_0, all_0_1_1) = all_36_0_40, apart_point_and_line(all_0_0_0, all_0_1_1) = 0, yields:
% 60.37/32.43  																																																																																																																																																																												| (308) all_36_0_40 = 0
% 60.37/32.43  																																																																																																																																																																												|
% 60.37/32.43  																																																																																																																																																																												| Equations (308) can reduce 102 to:
% 60.37/32.43  																																																																																																																																																																												| (289) $false
% 60.37/32.43  																																																																																																																																																																												|
% 60.37/32.43  																																																																																																																																																																												|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																											|-Branch two:
% 60.37/32.43  																																																																																																																																																																											| (968) all_780_0_11715 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0
% 60.37/32.43  																																																																																																																																																																											|
% 60.37/32.43  																																																																																																																																																																												| Applying alpha-rule on (968) yields:
% 60.37/32.43  																																																																																																																																																																												| (964) all_780_0_11715 = 0
% 60.37/32.43  																																																																																																																																																																												| (970) apart_point_and_line(all_0_5_5, all_0_2_2) = 0
% 60.37/32.43  																																																																																																																																																																												|
% 60.37/32.43  																																																																																																																																																																												+-Applying beta-rule and splitting (703), into two cases.
% 60.37/32.43  																																																																																																																																																																												|-Branch one:
% 60.37/32.43  																																																																																																																																																																												| (288) all_20_0_24 = 0
% 60.37/32.43  																																																																																																																																																																												|
% 60.37/32.43  																																																																																																																																																																													| Equations (288) can reduce 72 to:
% 60.37/32.43  																																																																																																																																																																													| (289) $false
% 60.37/32.43  																																																																																																																																																																													|
% 60.37/32.43  																																																																																																																																																																													|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																												|-Branch two:
% 60.37/32.43  																																																																																																																																																																												| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.43  																																																																																																																																																																												| (974)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 60.37/32.43  																																																																																																																																																																												|
% 60.37/32.43  																																																																																																																																																																													+-Applying beta-rule and splitting (403), into two cases.
% 60.37/32.43  																																																																																																																																																																													|-Branch one:
% 60.37/32.43  																																																																																																																																																																													| (288) all_20_0_24 = 0
% 60.37/32.43  																																																																																																																																																																													|
% 60.37/32.43  																																																																																																																																																																														| Equations (288) can reduce 72 to:
% 60.37/32.43  																																																																																																																																																																														| (289) $false
% 60.37/32.43  																																																																																																																																																																														|
% 60.37/32.43  																																																																																																																																																																														|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																													|-Branch two:
% 60.37/32.43  																																																																																																																																																																													| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.43  																																																																																																																																																																													| (978)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 60.37/32.43  																																																																																																																																																																													|
% 60.37/32.43  																																																																																																																																																																														+-Applying beta-rule and splitting (611), into two cases.
% 60.37/32.43  																																																																																																																																																																														|-Branch one:
% 60.37/32.43  																																																																																																																																																																														| (288) all_20_0_24 = 0
% 60.37/32.43  																																																																																																																																																																														|
% 60.37/32.43  																																																																																																																																																																															| Equations (288) can reduce 72 to:
% 60.37/32.43  																																																																																																																																																																															| (289) $false
% 60.37/32.43  																																																																																																																																																																															|
% 60.37/32.43  																																																																																																																																																																															|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																														|-Branch two:
% 60.37/32.43  																																																																																																																																																																														| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.43  																																																																																																																																																																														| (982)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 60.37/32.43  																																																																																																																																																																														|
% 60.37/32.43  																																																																																																																																																																															+-Applying beta-rule and splitting (675), into two cases.
% 60.37/32.43  																																																																																																																																																																															|-Branch one:
% 60.37/32.43  																																																																																																																																																																															| (288) all_20_0_24 = 0
% 60.37/32.43  																																																																																																																																																																															|
% 60.37/32.43  																																																																																																																																																																																| Equations (288) can reduce 72 to:
% 60.37/32.43  																																																																																																																																																																																| (289) $false
% 60.37/32.43  																																																																																																																																																																																|
% 60.37/32.43  																																																																																																																																																																																|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																															|-Branch two:
% 60.37/32.43  																																																																																																																																																																															| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.43  																																																																																																																																																																															| (986)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 60.37/32.43  																																																																																																																																																																															|
% 60.37/32.43  																																																																																																																																																																																+-Applying beta-rule and splitting (751), into two cases.
% 60.37/32.43  																																																																																																																																																																																|-Branch one:
% 60.37/32.43  																																																																																																																																																																																| (288) all_20_0_24 = 0
% 60.37/32.43  																																																																																																																																																																																|
% 60.37/32.43  																																																																																																																																																																																	| Equations (288) can reduce 72 to:
% 60.37/32.43  																																																																																																																																																																																	| (289) $false
% 60.37/32.43  																																																																																																																																																																																	|
% 60.37/32.43  																																																																																																																																																																																	|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																																|-Branch two:
% 60.37/32.43  																																																																																																																																																																																| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.43  																																																																																																																																																																																| (990)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0))
% 60.37/32.43  																																																																																																																																																																																|
% 60.37/32.43  																																																																																																																																																																																	+-Applying beta-rule and splitting (775), into two cases.
% 60.37/32.43  																																																																																																																																																																																	|-Branch one:
% 60.37/32.43  																																																																																																																																																																																	| (288) all_20_0_24 = 0
% 60.37/32.43  																																																																																																																																																																																	|
% 60.37/32.43  																																																																																																																																																																																		| Equations (288) can reduce 72 to:
% 60.37/32.43  																																																																																																																																																																																		| (289) $false
% 60.37/32.43  																																																																																																																																																																																		|
% 60.37/32.43  																																																																																																																																																																																		|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																																	|-Branch two:
% 60.37/32.43  																																																																																																																																																																																	| (72)  ~ (all_20_0_24 = 0)
% 60.37/32.43  																																																																																																																																																																																	| (994)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0))
% 60.37/32.43  																																																																																																																																																																																	|
% 60.37/32.43  																																																																																																																																																																																		| Instantiating formula (15) with all_0_5_5, all_0_2_2, 0, all_20_0_24 and discharging atoms apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, apart_point_and_line(all_0_5_5, all_0_2_2) = 0, yields:
% 60.37/32.43  																																																																																																																																																																																		| (288) all_20_0_24 = 0
% 60.37/32.43  																																																																																																																																																																																		|
% 60.37/32.43  																																																																																																																																																																																		| Equations (288) can reduce 72 to:
% 60.37/32.43  																																																																																																																																																																																		| (289) $false
% 60.37/32.43  																																																																																																																																																																																		|
% 60.37/32.43  																																																																																																																																																																																		|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																										|-Branch two:
% 60.37/32.43  																																																																																																																																																																										| (997)  ~ (all_780_0_11715 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = all_780_0_11715
% 60.37/32.43  																																																																																																																																																																										|
% 60.37/32.43  																																																																																																																																																																											| Applying alpha-rule on (997) yields:
% 60.37/32.43  																																																																																																																																																																											| (998)  ~ (all_780_0_11715 = 0)
% 60.37/32.43  																																																																																																																																																																											| (999) distinct_lines(all_0_1_1, all_0_2_2) = all_780_0_11715
% 60.37/32.43  																																																																																																																																																																											|
% 60.37/32.43  																																																																																																																																																																											+-Applying beta-rule and splitting (387), into two cases.
% 60.37/32.43  																																																																																																																																																																											|-Branch one:
% 60.37/32.43  																																																																																																																																																																											| (332) all_22_0_26 = 0
% 60.37/32.43  																																																																																																																																																																											|
% 60.37/32.43  																																																																																																																																																																												| Equations (332) can reduce 76 to:
% 60.37/32.43  																																																																																																																																																																												| (289) $false
% 60.37/32.43  																																																																																																																																																																												|
% 60.37/32.43  																																																																																																																																																																												|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																											|-Branch two:
% 60.37/32.43  																																																																																																																																																																											| (76)  ~ (all_22_0_26 = 0)
% 60.37/32.43  																																																																																																																																																																											| (1003)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_5_5) = v0))
% 60.37/32.43  																																																																																																																																																																											|
% 60.37/32.43  																																																																																																																																																																												+-Applying beta-rule and splitting (435), into two cases.
% 60.37/32.43  																																																																																																																																																																												|-Branch one:
% 60.37/32.43  																																																																																																																																																																												| (332) all_22_0_26 = 0
% 60.37/32.43  																																																																																																																																																																												|
% 60.37/32.43  																																																																																																																																																																													| Equations (332) can reduce 76 to:
% 60.37/32.43  																																																																																																																																																																													| (289) $false
% 60.37/32.43  																																																																																																																																																																													|
% 60.37/32.43  																																																																																																																																																																													|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																												|-Branch two:
% 60.37/32.43  																																																																																																																																																																												| (76)  ~ (all_22_0_26 = 0)
% 60.37/32.43  																																																																																																																																																																												| (1007)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 60.37/32.43  																																																																																																																																																																												|
% 60.37/32.43  																																																																																																																																																																													+-Applying beta-rule and splitting (603), into two cases.
% 60.37/32.43  																																																																																																																																																																													|-Branch one:
% 60.37/32.43  																																																																																																																																																																													| (332) all_22_0_26 = 0
% 60.37/32.43  																																																																																																																																																																													|
% 60.37/32.43  																																																																																																																																																																														| Equations (332) can reduce 76 to:
% 60.37/32.43  																																																																																																																																																																														| (289) $false
% 60.37/32.43  																																																																																																																																																																														|
% 60.37/32.43  																																																																																																																																																																														|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																													|-Branch two:
% 60.37/32.43  																																																																																																																																																																													| (76)  ~ (all_22_0_26 = 0)
% 60.37/32.43  																																																																																																																																																																													| (1011)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 60.37/32.43  																																																																																																																																																																													|
% 60.37/32.43  																																																																																																																																																																														+-Applying beta-rule and splitting (655), into two cases.
% 60.37/32.43  																																																																																																																																																																														|-Branch one:
% 60.37/32.43  																																																																																																																																																																														| (292) all_32_0_36 = 0
% 60.37/32.43  																																																																																																																																																																														|
% 60.37/32.43  																																																																																																																																																																															| Equations (292) can reduce 96 to:
% 60.37/32.43  																																																																																																																																																																															| (289) $false
% 60.37/32.43  																																																																																																																																																																															|
% 60.37/32.43  																																																																																																																																																																															|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																														|-Branch two:
% 60.37/32.43  																																																																																																																																																																														| (96)  ~ (all_32_0_36 = 0)
% 60.37/32.43  																																																																																																																																																																														| (906)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_0_0, all_0_0_0) = v0))
% 60.37/32.43  																																																																																																																																																																														|
% 60.37/32.43  																																																																																																																																																																															+-Applying beta-rule and splitting (383), into two cases.
% 60.37/32.43  																																																																																																																																																																															|-Branch one:
% 60.37/32.43  																																																																																																																																																																															| (332) all_22_0_26 = 0
% 60.37/32.43  																																																																																																																																																																															|
% 60.37/32.43  																																																																																																																																																																																| Equations (332) can reduce 76 to:
% 60.37/32.43  																																																																																																																																																																																| (289) $false
% 60.37/32.43  																																																																																																																																																																																|
% 60.37/32.43  																																																																																																																																																																																|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																															|-Branch two:
% 60.37/32.43  																																																																																																																																																																															| (76)  ~ (all_22_0_26 = 0)
% 60.37/32.43  																																																																																																																																																																															| (1019)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_0_0, all_0_1_1) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_0_1_1) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_0_0) = v0))
% 60.37/32.43  																																																																																																																																																																															|
% 60.37/32.43  																																																																																																																																																																																+-Applying beta-rule and splitting (423), into two cases.
% 60.37/32.43  																																																																																																																																																																																|-Branch one:
% 60.37/32.43  																																																																																																																																																																																| (332) all_22_0_26 = 0
% 60.37/32.43  																																																																																																																																																																																|
% 60.37/32.43  																																																																																																																																																																																	| Equations (332) can reduce 76 to:
% 60.37/32.43  																																																																																																																																																																																	| (289) $false
% 60.37/32.43  																																																																																																																																																																																	|
% 60.37/32.43  																																																																																																																																																																																	|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																																|-Branch two:
% 60.37/32.43  																																																																																																																																																																																| (76)  ~ (all_22_0_26 = 0)
% 60.37/32.43  																																																																																																																																																																																| (1023)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_1_1, all_24_1_29) = v0))
% 60.37/32.43  																																																																																																																																																																																|
% 60.37/32.43  																																																																																																																																																																																	+-Applying beta-rule and splitting (812), into two cases.
% 60.37/32.43  																																																																																																																																																																																	|-Branch one:
% 60.37/32.43  																																																																																																																																																																																	| (1024) (all_548_0_5751 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (all_548_0_5751 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0) | ( ~ (all_548_0_5751 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = all_548_0_5751)
% 60.37/32.43  																																																																																																																																																																																	|
% 60.37/32.43  																																																																																																																																																																																		+-Applying beta-rule and splitting (1024), into two cases.
% 60.37/32.43  																																																																																																																																																																																		|-Branch one:
% 60.37/32.43  																																																																																																																																																																																		| (1025) (all_548_0_5751 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0) | (all_548_0_5751 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0)
% 60.37/32.43  																																																																																																																																																																																		|
% 60.37/32.43  																																																																																																																																																																																			+-Applying beta-rule and splitting (1025), into two cases.
% 60.37/32.43  																																																																																																																																																																																			|-Branch one:
% 60.37/32.43  																																																																																																																																																																																			| (1026) all_548_0_5751 = 0 & apart_point_and_line(all_0_0_0, all_0_2_2) = 0
% 60.37/32.43  																																																																																																																																																																																			|
% 60.37/32.43  																																																																																																																																																																																				| Applying alpha-rule on (1026) yields:
% 60.37/32.43  																																																																																																																																																																																				| (1027) all_548_0_5751 = 0
% 60.37/32.43  																																																																																																																																																																																				| (902) apart_point_and_line(all_0_0_0, all_0_2_2) = 0
% 60.37/32.43  																																																																																																																																																																																				|
% 60.37/32.43  																																																																																																																																																																																				| Instantiating formula (15) with all_0_0_0, all_0_2_2, 0, all_32_0_36 and discharging atoms apart_point_and_line(all_0_0_0, all_0_2_2) = all_32_0_36, apart_point_and_line(all_0_0_0, all_0_2_2) = 0, yields:
% 60.37/32.43  																																																																																																																																																																																				| (292) all_32_0_36 = 0
% 60.37/32.43  																																																																																																																																																																																				|
% 60.37/32.43  																																																																																																																																																																																				| Equations (292) can reduce 96 to:
% 60.37/32.43  																																																																																																																																																																																				| (289) $false
% 60.37/32.43  																																																																																																																																																																																				|
% 60.37/32.43  																																																																																																																																																																																				|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																																			|-Branch two:
% 60.37/32.43  																																																																																																																																																																																			| (1031) all_548_0_5751 = 0 & apart_point_and_line(all_0_5_5, all_0_1_1) = 0
% 60.37/32.43  																																																																																																																																																																																			|
% 60.37/32.43  																																																																																																																																																																																				| Applying alpha-rule on (1031) yields:
% 60.37/32.43  																																																																																																																																																																																				| (1027) all_548_0_5751 = 0
% 60.37/32.43  																																																																																																																																																																																				| (1033) apart_point_and_line(all_0_5_5, all_0_1_1) = 0
% 60.37/32.43  																																																																																																																																																																																				|
% 60.37/32.43  																																																																																																																																																																																				| Instantiating formula (15) with all_0_5_5, all_0_1_1, 0, all_22_0_26 and discharging atoms apart_point_and_line(all_0_5_5, all_0_1_1) = all_22_0_26, apart_point_and_line(all_0_5_5, all_0_1_1) = 0, yields:
% 60.37/32.43  																																																																																																																																																																																				| (332) all_22_0_26 = 0
% 60.37/32.43  																																																																																																																																																																																				|
% 60.37/32.43  																																																																																																																																																																																				| Equations (332) can reduce 76 to:
% 60.37/32.43  																																																																																																																																																																																				| (289) $false
% 60.37/32.43  																																																																																																																																																																																				|
% 60.37/32.43  																																																																																																																																																																																				|-The branch is then unsatisfiable
% 60.37/32.43  																																																																																																																																																																																		|-Branch two:
% 60.37/32.43  																																																																																																																																																																																		| (1036)  ~ (all_548_0_5751 = 0) & distinct_lines(all_0_1_1, all_0_2_2) = all_548_0_5751
% 60.37/32.43  																																																																																																																																																																																		|
% 60.37/32.43  																																																																																																																																																																																			| Applying alpha-rule on (1036) yields:
% 60.37/32.43  																																																																																																																																																																																			| (1037)  ~ (all_548_0_5751 = 0)
% 60.37/32.43  																																																																																																																																																																																			| (1038) distinct_lines(all_0_1_1, all_0_2_2) = all_548_0_5751
% 60.37/32.43  																																																																																																																																																																																			|
% 60.37/32.43  																																																																																																																																																																																			| Instantiating formula (42) with all_0_1_1, all_0_2_2, all_616_0_5768, all_780_0_11715 and discharging atoms distinct_lines(all_0_1_1, all_0_2_2) = all_780_0_11715, distinct_lines(all_0_1_1, all_0_2_2) = all_616_0_5768, yields:
% 60.37/32.43  																																																																																																																																																																																			| (1039) all_780_0_11715 = all_616_0_5768
% 60.37/32.43  																																																																																																																																																																																			|
% 60.37/32.43  																																																																																																																																																																																			| Instantiating formula (42) with all_0_1_1, all_0_2_2, all_548_0_5751, all_780_0_11715 and discharging atoms distinct_lines(all_0_1_1, all_0_2_2) = all_780_0_11715, distinct_lines(all_0_1_1, all_0_2_2) = all_548_0_5751, yields:
% 60.37/32.43  																																																																																																																																																																																			| (1040) all_780_0_11715 = all_548_0_5751
% 60.37/32.43  																																																																																																																																																																																			|
% 60.37/32.43  																																																																																																																																																																																			| Combining equations (1039,1040) yields a new equation:
% 60.37/32.43  																																																																																																																																																																																			| (1041) all_616_0_5768 = all_548_0_5751
% 60.37/32.43  																																																																																																																																																																																			|
% 60.37/32.43  																																																																																																																																																																																			| Simplifying 1041 yields:
% 60.37/32.43  																																																																																																																																																																																			| (1042) all_616_0_5768 = all_548_0_5751
% 60.37/32.44  																																																																																																																																																																																			|
% 60.37/32.44  																																																																																																																																																																																			| Equations (1042) can reduce 914 to:
% 60.37/32.44  																																																																																																																																																																																			| (1037)  ~ (all_548_0_5751 = 0)
% 60.37/32.44  																																																																																																																																																																																			|
% 60.37/32.44  																																																																																																																																																																																			| From (1042) and (915) follows:
% 60.37/32.44  																																																																																																																																																																																			| (1038) distinct_lines(all_0_1_1, all_0_2_2) = all_548_0_5751
% 60.37/32.44  																																																																																																																																																																																			|
% 60.37/32.44  																																																																																																																																																																																			| Instantiating formula (49) with all_548_0_5751, all_0_2_2, all_0_1_1, all_0_2_2 and discharging atoms convergent_lines(all_0_2_2, all_0_1_1) = 0, distinct_lines(all_0_1_1, all_0_2_2) = all_548_0_5751, yields:
% 60.37/32.44  																																																																																																																																																																																			| (1045) all_548_0_5751 = 0 | convergent_lines(all_0_2_2, all_0_2_2) = 0
% 60.37/32.44  																																																																																																																																																																																			|
% 60.37/32.44  																																																																																																																																																																																			+-Applying beta-rule and splitting (1045), into two cases.
% 60.37/32.44  																																																																																																																																																																																			|-Branch one:
% 60.37/32.44  																																																																																																																																																																																			| (1046) convergent_lines(all_0_2_2, all_0_2_2) = 0
% 60.37/32.44  																																																																																																																																																																																			|
% 60.37/32.44  																																																																																																																																																																																				| Instantiating formula (26) with all_0_2_2 and discharging atoms convergent_lines(all_0_2_2, all_0_2_2) = 0, yields:
% 60.37/32.44  																																																																																																																																																																																				| (1047) $false
% 60.37/32.44  																																																																																																																																																																																				|
% 60.37/32.44  																																																																																																																																																																																				|-The branch is then unsatisfiable
% 60.37/32.44  																																																																																																																																																																																			|-Branch two:
% 60.50/32.44  																																																																																																																																																																																			| (1048)  ~ (convergent_lines(all_0_2_2, all_0_2_2) = 0)
% 60.50/32.44  																																																																																																																																																																																			| (1027) all_548_0_5751 = 0
% 60.50/32.44  																																																																																																																																																																																			|
% 60.50/32.44  																																																																																																																																																																																				| Equations (1027) can reduce 1037 to:
% 60.50/32.44  																																																																																																																																																																																				| (289) $false
% 60.50/32.44  																																																																																																																																																																																				|
% 60.50/32.44  																																																																																																																																																																																				|-The branch is then unsatisfiable
% 60.50/32.44  																																																																																																																																																																																	|-Branch two:
% 60.50/32.44  																																																																																																																																																																																	| (1051)  ~ (all_548_0_5751 = 0) & distinct_points(all_0_0_0, all_0_5_5) = all_548_0_5751
% 60.50/32.44  																																																																																																																																																																																	|
% 60.50/32.44  																																																																																																																																																																																		| Applying alpha-rule on (1051) yields:
% 60.50/32.44  																																																																																																																																																																																		| (1037)  ~ (all_548_0_5751 = 0)
% 60.50/32.44  																																																																																																																																																																																		| (1053) distinct_points(all_0_0_0, all_0_5_5) = all_548_0_5751
% 60.50/32.44  																																																																																																																																																																																		|
% 60.50/32.44  																																																																																																																																																																																		| Instantiating formula (27) with all_0_0_0, all_0_5_5, all_548_0_5751, 0 and discharging atoms distinct_points(all_0_0_0, all_0_5_5) = all_548_0_5751, distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 60.50/32.44  																																																																																																																																																																																		| (1027) all_548_0_5751 = 0
% 60.50/32.44  																																																																																																																																																																																		|
% 60.50/32.44  																																																																																																																																																																																		| Equations (1027) can reduce 1037 to:
% 60.50/32.44  																																																																																																																																																																																		| (289) $false
% 60.50/32.44  																																																																																																																																																																																		|
% 60.50/32.44  																																																																																																																																																																																		|-The branch is then unsatisfiable
% 60.50/32.44  																																																																																																																																																																									|-Branch two:
% 60.50/32.44  																																																																																																																																																																									| (1056)  ~ (all_780_0_11715 = 0) & distinct_points(all_0_0_0, all_0_5_5) = all_780_0_11715
% 60.50/32.44  																																																																																																																																																																									|
% 60.50/32.44  																																																																																																																																																																										| Applying alpha-rule on (1056) yields:
% 60.50/32.44  																																																																																																																																																																										| (998)  ~ (all_780_0_11715 = 0)
% 60.50/32.44  																																																																																																																																																																										| (1058) distinct_points(all_0_0_0, all_0_5_5) = all_780_0_11715
% 60.50/32.44  																																																																																																																																																																										|
% 60.50/32.44  																																																																																																																																																																										| Instantiating formula (27) with all_0_0_0, all_0_5_5, all_780_0_11715, 0 and discharging atoms distinct_points(all_0_0_0, all_0_5_5) = all_780_0_11715, distinct_points(all_0_0_0, all_0_5_5) = 0, yields:
% 60.50/32.44  																																																																																																																																																																										| (964) all_780_0_11715 = 0
% 60.50/32.44  																																																																																																																																																																										|
% 60.50/32.44  																																																																																																																																																																										| Equations (964) can reduce 998 to:
% 60.50/32.44  																																																																																																																																																																										| (289) $false
% 60.50/32.44  																																																																																																																																																																										|
% 60.50/32.44  																																																																																																																																																																										|-The branch is then unsatisfiable
% 60.50/32.44  					|-Branch two:
% 60.50/32.44  					| (1061)  ~ (all_39_0_43 = 0) & distinct_points(all_0_5_5, all_0_3_3) = all_39_0_43
% 60.50/32.44  					|
% 60.50/32.44  						| Applying alpha-rule on (1061) yields:
% 60.50/32.44  						| (125)  ~ (all_39_0_43 = 0)
% 60.50/32.44  						| (1063) distinct_points(all_0_5_5, all_0_3_3) = all_39_0_43
% 60.50/32.44  						|
% 60.50/32.44  						| Instantiating formula (27) with all_0_5_5, all_0_3_3, all_39_0_43, 0 and discharging atoms distinct_points(all_0_5_5, all_0_3_3) = all_39_0_43, distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 60.50/32.44  						| (1064) all_39_0_43 = 0
% 60.50/32.44  						|
% 60.50/32.44  						| Equations (1064) can reduce 125 to:
% 60.50/32.44  						| (289) $false
% 60.50/32.44  						|
% 60.50/32.44  						|-The branch is then unsatisfiable
% 60.50/32.44  				|-Branch two:
% 60.50/32.44  				| (1066)  ~ (all_40_0_44 = 0) & convergent_lines(all_0_2_2, all_0_1_1) = all_40_0_44
% 60.50/32.44  				|
% 60.50/32.44  					| Applying alpha-rule on (1066) yields:
% 60.50/32.44  					| (122)  ~ (all_40_0_44 = 0)
% 60.50/32.44  					| (1068) convergent_lines(all_0_2_2, all_0_1_1) = all_40_0_44
% 60.50/32.44  					|
% 60.50/32.44  					| Instantiating formula (20) with all_0_2_2, all_0_1_1, all_40_0_44, 0 and discharging atoms convergent_lines(all_0_2_2, all_0_1_1) = all_40_0_44, convergent_lines(all_0_2_2, all_0_1_1) = 0, yields:
% 60.50/32.44  					| (1069) all_40_0_44 = 0
% 60.50/32.44  					|
% 60.50/32.44  					| Equations (1069) can reduce 122 to:
% 60.50/32.44  					| (289) $false
% 60.50/32.44  					|
% 60.50/32.44  					|-The branch is then unsatisfiable
% 60.50/32.44  			|-Branch two:
% 60.50/32.44  			| (1071)  ~ (all_38_0_42 = 0) & distinct_points(all_0_5_5, all_0_3_3) = all_38_0_42
% 60.50/32.44  			|
% 60.50/32.44  				| Applying alpha-rule on (1071) yields:
% 60.50/32.44  				| (119)  ~ (all_38_0_42 = 0)
% 60.50/32.44  				| (1073) distinct_points(all_0_5_5, all_0_3_3) = all_38_0_42
% 60.50/32.44  				|
% 60.50/32.44  				| Instantiating formula (27) with all_0_5_5, all_0_3_3, all_38_0_42, 0 and discharging atoms distinct_points(all_0_5_5, all_0_3_3) = all_38_0_42, distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 60.50/32.44  				| (1074) all_38_0_42 = 0
% 60.50/32.44  				|
% 60.50/32.44  				| Equations (1074) can reduce 119 to:
% 60.50/32.44  				| (289) $false
% 60.50/32.44  				|
% 60.50/32.44  				|-The branch is then unsatisfiable
% 60.50/32.44  		|-Branch two:
% 60.50/32.44  		| (1076)  ~ (all_41_0_45 = 0) & convergent_lines(all_0_2_2, all_0_1_1) = all_41_0_45
% 60.50/32.44  		|
% 60.50/32.44  			| Applying alpha-rule on (1076) yields:
% 60.50/32.44  			| (116)  ~ (all_41_0_45 = 0)
% 60.50/32.44  			| (1078) convergent_lines(all_0_2_2, all_0_1_1) = all_41_0_45
% 60.50/32.44  			|
% 60.50/32.44  			| Instantiating formula (20) with all_0_2_2, all_0_1_1, all_41_0_45, 0 and discharging atoms convergent_lines(all_0_2_2, all_0_1_1) = all_41_0_45, convergent_lines(all_0_2_2, all_0_1_1) = 0, yields:
% 60.50/32.44  			| (1079) all_41_0_45 = 0
% 60.50/32.44  			|
% 60.50/32.44  			| Equations (1079) can reduce 116 to:
% 60.50/32.44  			| (289) $false
% 60.50/32.44  			|
% 60.50/32.44  			|-The branch is then unsatisfiable
% 60.50/32.44  	|-Branch two:
% 60.50/32.44  	| (1081)  ~ (all_35_0_39 = 0) & distinct_points(all_0_5_5, all_0_4_4) = all_35_0_39
% 60.50/32.44  	|
% 60.50/32.44  		| Applying alpha-rule on (1081) yields:
% 60.50/32.44  		| (113)  ~ (all_35_0_39 = 0)
% 60.50/32.44  		| (1083) distinct_points(all_0_5_5, all_0_4_4) = all_35_0_39
% 60.50/32.44  		|
% 60.50/32.44  		| Instantiating formula (27) with all_0_5_5, all_0_4_4, all_35_0_39, 0 and discharging atoms distinct_points(all_0_5_5, all_0_4_4) = all_35_0_39, distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 60.50/32.44  		| (1084) all_35_0_39 = 0
% 60.50/32.44  		|
% 60.50/32.44  		| Equations (1084) can reduce 113 to:
% 60.50/32.44  		| (289) $false
% 60.50/32.44  		|
% 60.50/32.44  		|-The branch is then unsatisfiable
% 60.50/32.44  |-Branch two:
% 60.50/32.44  | (1086)  ~ (all_34_0_38 = 0) & distinct_points(all_0_5_5, all_0_4_4) = all_34_0_38
% 60.50/32.44  |
% 60.50/32.44  	| Applying alpha-rule on (1086) yields:
% 60.50/32.44  	| (110)  ~ (all_34_0_38 = 0)
% 60.50/32.44  	| (1088) distinct_points(all_0_5_5, all_0_4_4) = all_34_0_38
% 60.50/32.44  	|
% 60.50/32.44  	| Instantiating formula (27) with all_0_5_5, all_0_4_4, all_34_0_38, 0 and discharging atoms distinct_points(all_0_5_5, all_0_4_4) = all_34_0_38, distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 60.50/32.44  	| (1089) all_34_0_38 = 0
% 60.50/32.44  	|
% 60.50/32.44  	| Equations (1089) can reduce 110 to:
% 60.50/32.44  	| (289) $false
% 60.50/32.44  	|
% 60.50/32.44  	|-The branch is then unsatisfiable
% 60.50/32.44  % SZS output end Proof for theBenchmark
% 60.50/32.44  
% 60.50/32.44  31766ms
%------------------------------------------------------------------------------