%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : GEO190+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 03:48:26 EDT 2022

% Result   : Theorem 6.66s 2.31s
% Output   : Proof 81.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GEO190+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.15  % Command  : ePrincess-casc -timeout=%d %s
% 0.14/0.36  % Computer : n004.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jun 18 03:25:38 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.43/0.62          ____       _                          
% 0.43/0.62    ___  / __ \_____(_)___  ________  __________
% 0.43/0.62   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.43/0.62  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.43/0.62  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.43/0.62  
% 0.43/0.62  A Theorem Prover for First-Order Logic
% 0.43/0.62  (ePrincess v.1.0)
% 0.43/0.62  
% 0.43/0.62  (c) Philipp Rümmer, 2009-2015
% 0.43/0.62  (c) Peter Backeman, 2014-2015
% 0.43/0.62  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.43/0.62  Free software under GNU Lesser General Public License (LGPL).
% 0.43/0.62  Bug reports to peter@backeman.se
% 0.43/0.62  
% 0.43/0.62  For more information, visit http://user.uu.se/~petba168/breu/
% 0.43/0.62  
% 0.43/0.62  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.68/0.67  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.65/0.97  Prover 0: Preprocessing ...
% 2.03/1.14  Prover 0: Warning: ignoring some quantifiers
% 2.11/1.17  Prover 0: Constructing countermodel ...
% 2.98/1.45  Prover 0: gave up
% 2.98/1.45  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 3.08/1.48  Prover 1: Preprocessing ...
% 3.37/1.57  Prover 1: Constructing countermodel ...
% 3.50/1.62  Prover 1: gave up
% 3.50/1.62  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 3.50/1.64  Prover 2: Preprocessing ...
% 4.28/1.76  Prover 2: Warning: ignoring some quantifiers
% 4.28/1.76  Prover 2: Constructing countermodel ...
% 6.66/2.31  Prover 2: proved (692ms)
% 6.66/2.31  
% 6.66/2.31  No countermodel exists, formula is valid
% 6.66/2.31  % SZS status Theorem for theBenchmark
% 6.66/2.31  
% 6.66/2.31  Generating proof ... Warning: ignoring some quantifiers
% 79.85/53.47  found it (size 615)
% 79.85/53.47  
% 79.85/53.47  % SZS output start Proof for theBenchmark
% 79.85/53.47  Assumed formulas after preprocessing and simplification: 
% 79.85/53.47  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : ( ~ (v4 = 0) & line_connecting(v1, v0) = v5 & line_connecting(v0, v1) = v3 & apart_point_and_line(v2, v5) = 0 & apart_point_and_line(v2, v3) = v4 & distinct_points(v1, v2) = 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)
% 80.10/53.53  | 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:
% 80.10/53.53  | (1)  ~ (all_0_1_1 = 0) & line_connecting(all_0_4_4, all_0_5_5) = all_0_0_0 & line_connecting(all_0_5_5, all_0_4_4) = all_0_2_2 & apart_point_and_line(all_0_3_3, all_0_0_0) = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = all_0_1_1 & distinct_points(all_0_4_4, all_0_3_3) = 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
% 80.10/53.54  |
% 80.10/53.54  | Applying alpha-rule on (1) yields:
% 80.10/53.54  | (2)  ! [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)))
% 80.10/53.54  | (3)  ! [v0] :  ~ (distinct_points(v0, v0) = 0)
% 80.10/53.54  | (4)  ! [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))
% 80.10/53.55  | (5)  ! [v0] :  ! [v1] : ( ~ (distinct_points(v0, v1) = 0) |  ? [v2] :  ? [v3] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 & apart_point_and_line(v1, v2) = v3))
% 80.10/53.55  | (6)  ! [v0] :  ~ (convergent_lines(v0, v0) = 0)
% 80.10/53.55  | (7)  ? [v0] :  ? [v1] :  ? [v2] : apart_point_and_line(v1, v0) = v2
% 80.10/53.55  | (8)  ! [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)))
% 80.10/53.55  | (9)  ? [v0] :  ? [v1] :  ? [v2] : convergent_lines(v1, v0) = v2
% 80.10/53.55  | (10)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (convergent_lines(v0, v2) = v3) |  ~ (convergent_lines(v0, v1) = 0) | convergent_lines(v1, v2) = 0)
% 80.10/53.55  | (11)  ! [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)))
% 80.10/53.55  | (12)  ! [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))
% 80.10/53.55  | (13)  ! [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))
% 80.10/53.55  | (14)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (convergent_lines(v0, v2) = v3) |  ~ (convergent_lines(v0, v1) = 0) | distinct_lines(v1, v2) = 0)
% 80.10/53.55  | (15)  ! [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)))
% 80.10/53.55  | (16)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (convergent_lines(v0, v1) = 0) |  ~ (distinct_lines(v1, v2) = v3) | convergent_lines(v0, v2) = 0)
% 80.10/53.55  | (17)  ! [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)
% 80.10/53.55  | (18)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (intersection_point(v3, v2) = v1) |  ~ (intersection_point(v3, v2) = v0))
% 80.10/53.55  | (19) distinct_points(all_0_5_5, all_0_4_4) = 0
% 80.10/53.55  | (20) line_connecting(all_0_5_5, all_0_4_4) = all_0_2_2
% 80.10/53.55  | (21)  ? [v0] :  ? [v1] :  ? [v2] : line_connecting(v1, v0) = v2
% 80.10/53.55  | (22)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (line_connecting(v3, v2) = v1) |  ~ (line_connecting(v3, v2) = v0))
% 80.10/53.55  | (23)  ! [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)))
% 80.10/53.55  | (24)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (distinct_points(v3, v2) = v1) |  ~ (distinct_points(v3, v2) = v0))
% 80.10/53.55  | (25)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (distinct_points(v0, v2) = v3) |  ~ (distinct_points(v0, v1) = 0) | distinct_points(v1, v2) = 0)
% 80.10/53.55  | (26) apart_point_and_line(all_0_3_3, all_0_0_0) = 0
% 80.10/53.55  | (27)  ! [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)))
% 80.10/53.55  | (28)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (convergent_lines(v3, v2) = v1) |  ~ (convergent_lines(v3, v2) = v0))
% 80.10/53.55  | (29)  ! [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))
% 80.10/53.55  | (30)  ? [v0] :  ? [v1] :  ? [v2] : distinct_points(v1, v0) = v2
% 80.10/53.55  | (31) line_connecting(all_0_4_4, all_0_5_5) = all_0_0_0
% 80.10/53.55  | (32)  ! [v0] :  ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) |  ? [v2] :  ? [v3] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v1) = v3))
% 80.10/53.55  | (33)  ~ (all_0_1_1 = 0)
% 80.10/53.55  | (34)  ! [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)
% 80.10/53.55  | (35)  ! [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)))
% 80.10/53.56  | (36) distinct_points(all_0_5_5, all_0_3_3) = 0
% 80.10/53.56  | (37)  ? [v0] :  ? [v1] :  ? [v2] : distinct_lines(v1, v0) = v2
% 80.10/53.56  | (38)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (distinct_points(v1, v2) = v3) |  ~ (distinct_points(v0, v1) = 0) | distinct_points(v0, v2) = 0)
% 80.10/53.56  | (39)  ! [v0] :  ~ (distinct_lines(v0, v0) = 0)
% 80.10/53.56  | (40) distinct_points(all_0_4_4, all_0_3_3) = 0
% 80.10/53.56  | (41)  ! [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)))
% 80.10/53.56  | (42)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (apart_point_and_line(v3, v2) = v1) |  ~ (apart_point_and_line(v3, v2) = v0))
% 80.10/53.56  | (43)  ! [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)))
% 80.10/53.56  | (44)  ! [v0] :  ! [v1] : ( ~ (distinct_points(v0, v1) = 0) |  ? [v2] :  ? [v3] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 & apart_point_and_line(v0, v2) = v3))
% 80.10/53.56  | (45)  ? [v0] :  ? [v1] :  ? [v2] : intersection_point(v1, v0) = v2
% 80.10/53.56  | (46)  ! [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)))
% 80.10/53.56  | (47)  ! [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))
% 80.10/53.56  | (48)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (distinct_lines(v3, v2) = v1) |  ~ (distinct_lines(v3, v2) = v0))
% 80.10/53.56  | (49)  ! [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)
% 80.10/53.56  | (50)  ! [v0] :  ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) |  ? [v2] :  ? [v3] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v0) = v3))
% 80.10/53.56  | (51) apart_point_and_line(all_0_3_3, all_0_2_2) = all_0_1_1
% 80.10/53.56  | (52)  ! [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)))
% 80.10/53.56  | (53)  ! [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))
% 80.10/53.56  | (54)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (convergent_lines(v1, v2) = v3) |  ~ (convergent_lines(v0, v1) = 0) | convergent_lines(v0, v2) = 0)
% 80.10/53.56  | (55)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (distinct_lines(v1, v2) = v3) |  ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v0, v2) = 0)
% 80.10/53.56  | (56)  ! [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)
% 80.10/53.56  | (57)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (distinct_lines(v0, v2) = v3) |  ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v1, v2) = 0)
% 80.10/53.56  |
% 80.10/53.56  | Instantiating formula (11) with all_0_0_0, all_0_5_5, all_0_4_4 and discharging atoms line_connecting(all_0_4_4, all_0_5_5) = all_0_0_0, yields:
% 80.10/53.56  | (58)  ? [v0] : (( ~ (v0 = 0) & apart_point_and_line(all_0_5_5, all_0_0_0) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 80.10/53.56  |
% 80.10/53.56  | Instantiating formula (41) with all_0_0_0, all_0_5_5, all_0_4_4 and discharging atoms line_connecting(all_0_4_4, all_0_5_5) = all_0_0_0, yields:
% 80.10/53.56  | (59)  ? [v0] : (( ~ (v0 = 0) & apart_point_and_line(all_0_4_4, all_0_0_0) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 80.10/53.56  |
% 80.10/53.56  | Instantiating formula (11) 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:
% 80.10/53.56  | (60)  ? [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))
% 80.10/53.57  |
% 80.10/53.57  | Instantiating formula (41) 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:
% 80.10/53.57  | (61)  ? [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))
% 80.10/53.57  |
% 80.10/53.57  | Instantiating formula (34) with 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_3_3, all_0_0_0) = 0, apart_point_and_line(all_0_3_3, all_0_2_2) = all_0_1_1, yields:
% 80.10/53.57  | (62) all_0_1_1 = 0 | distinct_lines(all_0_0_0, all_0_2_2) = 0
% 80.10/53.57  |
% 80.10/53.57  | Instantiating formula (43) with all_0_1_1, all_0_1_1, all_0_2_2, all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_0_2_2) = all_0_1_1, distinct_points(all_0_4_4, all_0_3_3) = 0, yields:
% 80.10/53.57  | (63) all_0_1_1 = 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))
% 80.10/53.57  |
% 80.10/53.57  | Instantiating formula (5) with all_0_3_3, all_0_4_4 and discharging atoms distinct_points(all_0_4_4, all_0_3_3) = 0, yields:
% 80.10/53.57  | (64)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & line_connecting(all_0_4_4, all_0_3_3) = v0 & apart_point_and_line(all_0_3_3, v0) = v1)
% 80.10/53.57  |
% 80.10/53.57  | Instantiating formula (44) with all_0_3_3, all_0_4_4 and discharging atoms distinct_points(all_0_4_4, all_0_3_3) = 0, yields:
% 80.10/53.57  | (65)  ? [v0] :  ? [v1] : ( ~ (v1 = 0) & line_connecting(all_0_4_4, all_0_3_3) = v0 & apart_point_and_line(all_0_4_4, v0) = v1)
% 80.10/53.57  |
% 80.10/53.57  | Instantiating formula (43) with all_0_1_1, all_0_1_1, 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_3_3, all_0_2_2) = all_0_1_1, distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 80.10/53.57  | (66) all_0_1_1 = 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))
% 80.10/53.57  |
% 80.10/53.57  | Instantiating formula (5) with all_0_3_3, all_0_5_5 and discharging atoms distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 80.10/53.57  | (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)
% 80.10/53.57  |
% 80.10/53.57  | Instantiating formula (44) with all_0_3_3, all_0_5_5 and discharging atoms distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 80.10/53.57  | (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)
% 80.10/53.57  |
% 80.10/53.57  | Instantiating formula (5) with all_0_4_4, all_0_5_5 and discharging atoms distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 80.10/53.57  | (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)
% 80.10/53.57  |
% 80.10/53.57  | Instantiating formula (44) with all_0_4_4, all_0_5_5 and discharging atoms distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 80.10/53.57  | (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)
% 80.10/53.57  |
% 80.10/53.57  | Instantiating (70) with all_20_0_24, all_20_1_25 yields:
% 80.10/53.57  | (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
% 80.10/53.57  |
% 80.10/53.57  | Applying alpha-rule on (71) yields:
% 80.10/53.57  | (72)  ~ (all_20_0_24 = 0)
% 80.10/53.57  | (73) line_connecting(all_0_5_5, all_0_4_4) = all_20_1_25
% 80.10/53.57  | (74) apart_point_and_line(all_0_5_5, all_20_1_25) = all_20_0_24
% 80.10/53.57  |
% 80.41/53.57  | Instantiating (68) with all_22_0_26, all_22_1_27 yields:
% 80.41/53.57  | (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
% 80.41/53.57  |
% 80.41/53.57  | Applying alpha-rule on (75) yields:
% 80.41/53.57  | (76)  ~ (all_22_0_26 = 0)
% 80.41/53.57  | (77) line_connecting(all_0_5_5, all_0_3_3) = all_22_1_27
% 80.41/53.57  | (78) apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26
% 80.41/53.57  |
% 80.41/53.57  | Instantiating (65) with all_24_0_28, all_24_1_29 yields:
% 80.41/53.57  | (79)  ~ (all_24_0_28 = 0) & line_connecting(all_0_4_4, all_0_3_3) = all_24_1_29 & apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28
% 80.41/53.57  |
% 80.41/53.57  | Applying alpha-rule on (79) yields:
% 80.41/53.57  | (80)  ~ (all_24_0_28 = 0)
% 80.41/53.57  | (81) line_connecting(all_0_4_4, all_0_3_3) = all_24_1_29
% 80.41/53.57  | (82) apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28
% 80.41/53.57  |
% 80.41/53.57  | Instantiating (67) with all_26_0_30, all_26_1_31 yields:
% 80.41/53.57  | (83)  ~ (all_26_0_30 = 0) & line_connecting(all_0_5_5, all_0_3_3) = all_26_1_31 & apart_point_and_line(all_0_3_3, all_26_1_31) = all_26_0_30
% 80.41/53.57  |
% 80.41/53.57  | Applying alpha-rule on (83) yields:
% 80.41/53.57  | (84)  ~ (all_26_0_30 = 0)
% 80.41/53.57  | (85) line_connecting(all_0_5_5, all_0_3_3) = all_26_1_31
% 80.41/53.57  | (86) apart_point_and_line(all_0_3_3, all_26_1_31) = all_26_0_30
% 80.41/53.57  |
% 80.41/53.57  | Instantiating (69) with all_28_0_32, all_28_1_33 yields:
% 80.41/53.57  | (87)  ~ (all_28_0_32 = 0) & line_connecting(all_0_5_5, all_0_4_4) = all_28_1_33 & apart_point_and_line(all_0_4_4, all_28_1_33) = all_28_0_32
% 80.41/53.57  |
% 80.41/53.57  | Applying alpha-rule on (87) yields:
% 80.41/53.57  | (88)  ~ (all_28_0_32 = 0)
% 80.41/53.57  | (89) line_connecting(all_0_5_5, all_0_4_4) = all_28_1_33
% 80.41/53.57  | (90) apart_point_and_line(all_0_4_4, all_28_1_33) = all_28_0_32
% 80.41/53.57  |
% 80.41/53.57  | Instantiating (64) with all_30_0_34, all_30_1_35 yields:
% 80.41/53.57  | (91)  ~ (all_30_0_34 = 0) & line_connecting(all_0_4_4, all_0_3_3) = all_30_1_35 & apart_point_and_line(all_0_3_3, all_30_1_35) = all_30_0_34
% 80.41/53.57  |
% 80.41/53.57  | Applying alpha-rule on (91) yields:
% 80.41/53.57  | (92)  ~ (all_30_0_34 = 0)
% 80.41/53.57  | (93) line_connecting(all_0_4_4, all_0_3_3) = all_30_1_35
% 80.41/53.57  | (94) apart_point_and_line(all_0_3_3, all_30_1_35) = all_30_0_34
% 80.41/53.57  |
% 80.41/53.57  | Instantiating (61) with all_32_0_36 yields:
% 80.41/53.57  | (95) ( ~ (all_32_0_36 = 0) & apart_point_and_line(all_0_5_5, all_0_2_2) = all_32_0_36) | ( ~ (all_32_0_36 = 0) & distinct_points(all_0_5_5, all_0_4_4) = all_32_0_36)
% 80.41/53.57  |
% 80.41/53.57  | Instantiating (59) with all_33_0_37 yields:
% 80.41/53.57  | (96) ( ~ (all_33_0_37 = 0) & apart_point_and_line(all_0_4_4, all_0_0_0) = all_33_0_37) | ( ~ (all_33_0_37 = 0) & distinct_points(all_0_4_4, all_0_5_5) = all_33_0_37)
% 80.41/53.57  |
% 80.41/53.57  | Instantiating (58) with all_34_0_38 yields:
% 80.41/53.57  | (97) ( ~ (all_34_0_38 = 0) & apart_point_and_line(all_0_5_5, all_0_0_0) = all_34_0_38) | ( ~ (all_34_0_38 = 0) & distinct_points(all_0_4_4, all_0_5_5) = all_34_0_38)
% 80.41/53.57  |
% 80.41/53.57  | Instantiating (60) with all_35_0_39 yields:
% 80.41/53.57  | (98) ( ~ (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)
% 80.41/53.58  |
% 80.41/53.58  +-Applying beta-rule and splitting (95), into two cases.
% 80.41/53.58  |-Branch one:
% 80.41/53.58  | (99)  ~ (all_32_0_36 = 0) & apart_point_and_line(all_0_5_5, all_0_2_2) = all_32_0_36
% 80.41/53.58  |
% 80.41/53.58  	| Applying alpha-rule on (99) yields:
% 80.41/53.58  	| (100)  ~ (all_32_0_36 = 0)
% 80.41/53.58  	| (101) apart_point_and_line(all_0_5_5, all_0_2_2) = all_32_0_36
% 80.41/53.58  	|
% 80.41/53.58  	+-Applying beta-rule and splitting (66), into two cases.
% 80.41/53.58  	|-Branch one:
% 80.41/53.58  	| (102) all_0_1_1 = 0
% 80.41/53.58  	|
% 80.41/53.58  		| Equations (102) can reduce 33 to:
% 80.41/53.58  		| (103) $false
% 80.41/53.58  		|
% 80.41/53.58  		|-The branch is then unsatisfiable
% 80.41/53.58  	|-Branch two:
% 80.41/53.58  	| (33)  ~ (all_0_1_1 = 0)
% 80.41/53.58  	| (105)  ? [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))
% 80.41/53.58  	|
% 80.41/53.58  		+-Applying beta-rule and splitting (63), into two cases.
% 80.41/53.58  		|-Branch one:
% 80.41/53.58  		| (102) all_0_1_1 = 0
% 80.41/53.58  		|
% 80.41/53.58  			| Equations (102) can reduce 33 to:
% 80.41/53.58  			| (103) $false
% 80.41/53.58  			|
% 80.41/53.58  			|-The branch is then unsatisfiable
% 80.41/53.58  		|-Branch two:
% 80.41/53.58  		| (33)  ~ (all_0_1_1 = 0)
% 80.41/53.58  		| (109)  ? [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))
% 80.41/53.58  		|
% 80.41/53.58  			+-Applying beta-rule and splitting (62), into two cases.
% 80.41/53.58  			|-Branch one:
% 80.41/53.58  			| (110) distinct_lines(all_0_0_0, all_0_2_2) = 0
% 80.41/53.58  			|
% 80.41/53.58  				+-Applying beta-rule and splitting (98), into two cases.
% 80.41/53.58  				|-Branch one:
% 80.41/53.58  				| (111)  ~ (all_35_0_39 = 0) & apart_point_and_line(all_0_4_4, all_0_2_2) = all_35_0_39
% 80.41/53.58  				|
% 80.41/53.58  					| Applying alpha-rule on (111) yields:
% 80.41/53.58  					| (112)  ~ (all_35_0_39 = 0)
% 80.41/53.58  					| (113) apart_point_and_line(all_0_4_4, all_0_2_2) = all_35_0_39
% 80.41/53.58  					|
% 80.41/53.58  					| Instantiating formula (22) with all_0_4_4, all_0_3_3, all_24_1_29, all_30_1_35 and discharging atoms line_connecting(all_0_4_4, all_0_3_3) = all_30_1_35, line_connecting(all_0_4_4, all_0_3_3) = all_24_1_29, yields:
% 80.41/53.58  					| (114) all_30_1_35 = all_24_1_29
% 80.41/53.58  					|
% 80.41/53.58  					| Instantiating formula (22) with all_0_5_5, all_0_3_3, all_22_1_27, all_26_1_31 and discharging atoms line_connecting(all_0_5_5, all_0_3_3) = all_26_1_31, line_connecting(all_0_5_5, all_0_3_3) = all_22_1_27, yields:
% 80.41/53.58  					| (115) all_26_1_31 = all_22_1_27
% 80.41/53.58  					|
% 80.41/53.58  					| Instantiating formula (22) with all_0_5_5, all_0_4_4, all_28_1_33, all_0_2_2 and discharging atoms line_connecting(all_0_5_5, all_0_4_4) = all_28_1_33, line_connecting(all_0_5_5, all_0_4_4) = all_0_2_2, yields:
% 80.41/53.58  					| (116) all_28_1_33 = all_0_2_2
% 80.41/53.58  					|
% 80.41/53.58  					| Instantiating formula (22) with all_0_5_5, all_0_4_4, all_20_1_25, all_28_1_33 and discharging atoms line_connecting(all_0_5_5, all_0_4_4) = all_28_1_33, line_connecting(all_0_5_5, all_0_4_4) = all_20_1_25, yields:
% 80.41/53.58  					| (117) all_28_1_33 = all_20_1_25
% 80.41/53.58  					|
% 80.41/53.58  					| Combining equations (116,117) yields a new equation:
% 80.41/53.58  					| (118) all_20_1_25 = all_0_2_2
% 80.41/53.58  					|
% 80.41/53.58  					| Combining equations (118,117) yields a new equation:
% 80.41/53.58  					| (116) all_28_1_33 = all_0_2_2
% 80.41/53.58  					|
% 80.41/53.58  					| From (114) and (94) follows:
% 80.41/53.58  					| (120) apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34
% 80.41/53.58  					|
% 80.41/53.58  					| From (115) and (86) follows:
% 80.41/53.58  					| (121) apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30
% 80.41/53.58  					|
% 80.41/53.58  					| From (116) and (90) follows:
% 80.41/53.58  					| (122) apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32
% 80.41/53.58  					|
% 80.41/53.58  					| From (118) and (74) follows:
% 80.41/53.58  					| (123) apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24
% 80.41/53.58  					|
% 80.41/53.58  					| Instantiating formula (42) with all_0_4_4, all_0_2_2, all_28_0_32, 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_28_0_32, yields:
% 80.41/53.58  					| (124) all_35_0_39 = all_28_0_32
% 80.41/53.58  					|
% 80.41/53.58  					| Instantiating formula (42) with all_0_5_5, all_0_2_2, all_20_0_24, all_32_0_36 and discharging atoms apart_point_and_line(all_0_5_5, 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:
% 80.41/53.58  					| (125) all_32_0_36 = all_20_0_24
% 80.41/53.58  					|
% 80.41/53.58  					| Equations (124) can reduce 112 to:
% 80.41/53.58  					| (88)  ~ (all_28_0_32 = 0)
% 80.41/53.58  					|
% 80.41/53.58  					| Equations (125) can reduce 100 to:
% 80.41/53.58  					| (72)  ~ (all_20_0_24 = 0)
% 80.41/53.58  					|
% 80.41/53.58  					| From (124) and (113) follows:
% 80.41/53.58  					| (122) apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32
% 80.41/53.58  					|
% 80.41/53.58  					| From (125) and (101) follows:
% 80.41/53.58  					| (123) apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24
% 80.41/53.58  					|
% 80.41/53.58  					| Instantiating formula (43) with all_30_0_34, all_0_1_1, all_24_1_29, all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_3_3, all_0_2_2) = all_0_1_1, distinct_points(all_0_4_4, all_0_3_3) = 0, yields:
% 80.41/53.58  					| (130) all_30_0_34 = 0 | all_0_1_1 = 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))
% 80.41/53.58  					|
% 80.41/53.58  					| Instantiating formula (43) with all_0_1_1, all_30_0_34, all_0_2_2, all_24_1_29, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_3_3, all_0_2_2) = all_0_1_1, distinct_points(all_0_4_4, all_0_3_3) = 0, yields:
% 80.41/53.58  					| (131) all_30_0_34 = 0 | all_0_1_1 = 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))
% 80.41/53.58  					|
% 80.41/53.58  					| Instantiating formula (43) with all_30_0_34, all_0_1_1, 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_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_3_3, all_0_2_2) = all_0_1_1, distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 80.41/53.59  					| (132) all_30_0_34 = 0 | all_0_1_1 = 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))
% 80.41/53.59  					|
% 80.41/53.59  					| Instantiating formula (52) with all_0_1_1, all_30_0_34, all_0_2_2, all_24_1_29, all_0_3_3, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_3_3, all_0_2_2) = all_0_1_1, yields:
% 80.41/53.59  					| (133) all_30_0_34 = 0 | all_0_1_1 = 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) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0))
% 80.41/53.59  					|
% 80.41/53.59  					| Instantiating formula (43) with all_30_0_34, all_30_0_34, all_24_1_29, all_24_1_29, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, distinct_points(all_0_4_4, all_0_3_3) = 0, yields:
% 80.41/53.59  					| (134) all_30_0_34 = 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))
% 80.41/53.59  					|
% 80.41/53.59  					| Instantiating formula (43) with all_30_0_34, all_30_0_34, 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_3_3, all_24_1_29) = all_30_0_34, distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 80.41/53.59  					| (135) all_30_0_34 = 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))
% 80.41/53.59  					|
% 80.41/53.59  					| Instantiating formula (52) with all_30_0_34, all_30_0_34, all_24_1_29, all_24_1_29, all_0_3_3, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, yields:
% 80.41/53.59  					| (136) all_30_0_34 = 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) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0))
% 80.41/53.59  					|
% 80.41/53.59  					| Instantiating formula (43) with all_26_0_30, all_0_1_1, all_22_1_27, all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, apart_point_and_line(all_0_3_3, all_0_2_2) = all_0_1_1, distinct_points(all_0_4_4, all_0_3_3) = 0, yields:
% 80.41/53.59  					| (137) all_26_0_30 = 0 | all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 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_22_1_27) = v0))
% 80.41/53.59  					|
% 80.41/53.59  					| Instantiating formula (43) with all_0_1_1, all_26_0_30, all_0_2_2, all_22_1_27, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, apart_point_and_line(all_0_3_3, all_0_2_2) = all_0_1_1, distinct_points(all_0_4_4, all_0_3_3) = 0, yields:
% 80.41/53.59  					| (138) all_26_0_30 = 0 | all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0))
% 80.41/53.59  					|
% 80.41/53.59  					| Instantiating formula (43) with all_26_0_30, all_0_1_1, all_22_1_27, all_0_2_2, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, apart_point_and_line(all_0_3_3, all_0_2_2) = all_0_1_1, distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 80.41/53.59  					| (139) all_26_0_30 = 0 | all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_22_1_27) = 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_22_1_27) = v0))
% 80.41/53.59  					|
% 80.41/53.59  					| Instantiating formula (43) with all_0_1_1, all_26_0_30, all_0_2_2, all_22_1_27, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, apart_point_and_line(all_0_3_3, all_0_2_2) = all_0_1_1, distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 80.41/53.59  					| (140) all_26_0_30 = 0 | all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0))
% 80.41/53.59  					|
% 80.41/53.59  					| Instantiating formula (52) with all_26_0_30, all_0_1_1, all_22_1_27, all_0_2_2, all_0_3_3, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, apart_point_and_line(all_0_3_3, all_0_2_2) = all_0_1_1, yields:
% 80.41/53.59  					| (141) all_26_0_30 = 0 | all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0))
% 80.41/53.59  					|
% 80.41/53.59  					| Instantiating formula (52) with all_0_1_1, all_26_0_30, all_0_2_2, all_22_1_27, all_0_3_3, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, apart_point_and_line(all_0_3_3, all_0_2_2) = all_0_1_1, yields:
% 80.41/53.59  					| (142) all_26_0_30 = 0 | all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0))
% 80.41/53.59  					|
% 80.41/53.59  					| Instantiating formula (43) with all_26_0_30, all_30_0_34, all_22_1_27, all_24_1_29, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, distinct_points(all_0_4_4, all_0_3_3) = 0, yields:
% 80.41/53.59  					| (143) 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_4_4, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_22_1_27) = v0))
% 80.41/53.59  					|
% 80.41/53.59  					| Instantiating formula (43) with all_30_0_34, all_26_0_30, all_24_1_29, all_22_1_27, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, distinct_points(all_0_4_4, all_0_3_3) = 0, yields:
% 80.41/53.59  					| (144) 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_4_4, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_24_1_29) = v0))
% 80.41/53.59  					|
% 80.41/53.59  					| Instantiating formula (43) with all_26_0_30, all_30_0_34, all_22_1_27, all_24_1_29, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 80.41/53.59  					| (145) all_30_0_34 = 0 | all_26_0_30 = 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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_22_1_27) = v0))
% 80.41/53.60  					|
% 80.41/53.60  					| Instantiating formula (52) with all_26_0_30, all_30_0_34, all_22_1_27, all_24_1_29, all_0_3_3, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, yields:
% 80.41/53.60  					| (146) all_30_0_34 = 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_3_3, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0))
% 80.41/53.60  					|
% 80.41/53.60  					| Instantiating formula (52) with all_30_0_34, all_26_0_30, all_24_1_29, all_22_1_27, all_0_3_3, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, yields:
% 80.41/53.60  					| (147) all_30_0_34 = 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_3_3, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0))
% 80.41/53.60  					|
% 80.41/53.60  					| Instantiating formula (43) with all_26_0_30, all_26_0_30, all_22_1_27, all_22_1_27, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, distinct_points(all_0_4_4, all_0_3_3) = 0, yields:
% 80.41/53.60  					| (148) all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_22_1_27) = v0))
% 80.41/53.60  					|
% 80.41/53.60  					| Instantiating formula (43) with all_26_0_30, all_26_0_30, all_22_1_27, all_22_1_27, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, distinct_points(all_0_5_5, all_0_3_3) = 0, yields:
% 80.41/53.60  					| (149) all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_22_1_27) = v0))
% 80.41/53.60  					|
% 80.41/53.60  					| Instantiating formula (52) with all_26_0_30, all_26_0_30, all_22_1_27, all_22_1_27, all_0_3_3, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, yields:
% 80.41/53.60  					| (150) all_26_0_30 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0))
% 80.41/53.60  					|
% 80.41/53.60  					| Instantiating formula (52) with all_24_0_28, all_0_1_1, all_24_1_29, 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_2_2) = all_0_1_1, apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28, yields:
% 80.41/53.60  					| (151) all_24_0_28 = 0 | all_0_1_1 = 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_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.41/53.60  					|
% 80.41/53.60  					| Instantiating formula (52) with all_0_1_1, all_24_0_28, all_0_2_2, all_24_1_29, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_0_2_2) = all_0_1_1, apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28, yields:
% 80.41/53.60  					| (152) all_24_0_28 = 0 | all_0_1_1 = 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_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0))
% 80.41/53.60  					|
% 80.41/53.60  					| Instantiating formula (27) with all_24_0_28, all_0_1_1, all_0_2_2, all_24_1_29, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_2_2) = all_0_1_1, apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28, yields:
% 80.41/53.60  					| (153) all_24_0_28 = 0 | all_0_1_1 = 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_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.41/53.60  					|
% 80.41/53.60  					| Instantiating formula (27) with all_0_1_1, all_24_0_28, all_24_1_29, all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_0_2_2) = all_0_1_1, apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28, yields:
% 80.41/53.60  					| (154) all_24_0_28 = 0 | all_0_1_1 = 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_4_4, 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_3_3) = v0))
% 80.41/53.60  					|
% 80.41/53.60  					| Instantiating formula (52) with all_24_0_28, all_30_0_34, all_24_1_29, all_24_1_29, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28, yields:
% 80.41/53.60  					| (155) all_30_0_34 = 0 | all_24_0_28 = 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_4_4, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.41/53.60  					|
% 80.41/53.60  					| Instantiating formula (52) with all_30_0_34, all_24_0_28, all_24_1_29, all_24_1_29, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28, yields:
% 80.41/53.60  					| (156) all_30_0_34 = 0 | all_24_0_28 = 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_4_4, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0))
% 80.41/53.60  					|
% 80.41/53.60  					| Instantiating formula (52) with all_24_0_28, all_26_0_30, all_24_1_29, all_22_1_27, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28, yields:
% 80.41/53.60  					| (157) all_26_0_30 = 0 | all_24_0_28 = 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_4_4, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.41/53.60  					|
% 80.41/53.60  					| Instantiating formula (52) with all_26_0_30, all_24_0_28, all_22_1_27, all_24_1_29, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28, yields:
% 80.41/53.60  					| (158) all_26_0_30 = 0 | all_24_0_28 = 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_4_4, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0))
% 80.41/53.60  					|
% 80.41/53.61  					| Instantiating formula (27) with all_24_0_28, all_26_0_30, all_22_1_27, all_24_1_29, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28, yields:
% 80.41/53.61  					| (159) all_26_0_30 = 0 | all_24_0_28 = 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_4_4, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.41/53.61  					|
% 80.41/53.61  					| Instantiating formula (27) with all_26_0_30, all_24_0_28, all_24_1_29, all_22_1_27, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28, yields:
% 80.41/53.61  					| (160) all_26_0_30 = 0 | all_24_0_28 = 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_4_4, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0))
% 80.41/53.61  					|
% 80.41/53.61  					| Instantiating formula (35) with all_24_0_28, all_24_0_28, all_24_1_29, all_24_1_29, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28, distinct_points(all_0_4_4, all_0_3_3) = 0, yields:
% 80.41/53.61  					| (161) all_24_0_28 = 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))
% 80.41/53.61  					|
% 80.41/53.61  					| Instantiating formula (43) with all_24_0_28, all_24_0_28, 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_4_4, all_24_1_29) = all_24_0_28, distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 80.41/53.61  					| (162) 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))
% 80.41/53.61  					|
% 80.41/53.61  					| Instantiating formula (52) with all_24_0_28, all_24_0_28, all_24_1_29, all_24_1_29, all_0_4_4, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28, yields:
% 80.41/53.61  					| (163) all_24_0_28 = 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) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0))
% 80.41/53.61  					|
% 80.41/53.61  					| Instantiating formula (52) with all_28_0_32, all_0_1_1, all_0_2_2, 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_2_2) = all_0_1_1, apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, yields:
% 80.41/53.61  					| (164) all_28_0_32 = 0 | all_0_1_1 = 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_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.41/53.61  					|
% 80.41/53.61  					| Instantiating formula (52) with all_28_0_32, all_30_0_34, all_0_2_2, all_24_1_29, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, yields:
% 80.41/53.61  					| (165) 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_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.41/53.61  					|
% 80.41/53.61  					| Instantiating formula (52) with all_30_0_34, all_28_0_32, all_24_1_29, all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, yields:
% 80.41/53.61  					| (166) 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_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_3_3) = v0))
% 80.41/53.61  					|
% 80.41/53.61  					| Instantiating formula (27) with all_28_0_32, all_30_0_34, all_24_1_29, all_0_2_2, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, yields:
% 80.41/53.61  					| (167) 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_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.41/53.61  					|
% 80.41/53.61  					| Instantiating formula (27) with all_30_0_34, all_28_0_32, all_0_2_2, all_24_1_29, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, yields:
% 80.41/53.61  					| (168) 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_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_3_3) = v0))
% 80.41/53.61  					|
% 80.41/53.61  					| Instantiating formula (52) with all_28_0_32, all_26_0_30, all_0_2_2, all_22_1_27, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, yields:
% 80.41/53.61  					| (169) all_28_0_32 = 0 | all_26_0_30 = 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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.41/53.61  					|
% 80.41/53.61  					| Instantiating formula (52) with all_26_0_30, all_28_0_32, all_22_1_27, all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, yields:
% 80.41/53.61  					| (170) all_28_0_32 = 0 | all_26_0_30 = 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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0))
% 80.41/53.61  					|
% 80.41/53.61  					| Instantiating formula (27) with all_28_0_32, all_26_0_30, all_22_1_27, all_0_2_2, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, yields:
% 80.41/53.61  					| (171) all_28_0_32 = 0 | all_26_0_30 = 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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.41/53.61  					|
% 80.41/53.61  					| Instantiating formula (27) with all_26_0_30, all_28_0_32, all_0_2_2, all_22_1_27, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, yields:
% 80.41/53.61  					| (172) all_28_0_32 = 0 | all_26_0_30 = 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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0))
% 80.41/53.62  					|
% 80.41/53.62  					| Instantiating formula (35) with all_28_0_32, all_24_0_28, all_0_2_2, all_24_1_29, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, distinct_points(all_0_4_4, all_0_3_3) = 0, yields:
% 80.41/53.62  					| (173) all_28_0_32 = 0 | all_24_0_28 = 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))
% 80.41/53.62  					|
% 80.41/53.62  					| Instantiating formula (35) with all_24_0_28, all_28_0_32, all_24_1_29, all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, distinct_points(all_0_4_4, all_0_3_3) = 0, yields:
% 80.41/53.62  					| (174) all_28_0_32 = 0 | all_24_0_28 = 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))
% 80.41/53.62  					|
% 80.41/53.62  					| Instantiating formula (43) with all_28_0_32, all_24_0_28, 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_24_1_29) = all_24_0_28, apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 80.41/53.62  					| (175) all_28_0_32 = 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))
% 80.41/53.62  					|
% 80.41/53.62  					| Instantiating formula (43) with all_24_0_28, all_28_0_32, 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_4_4, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 80.41/53.62  					| (176) all_28_0_32 = 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))
% 80.41/53.62  					|
% 80.41/53.62  					| Instantiating formula (52) with all_28_0_32, all_24_0_28, all_0_2_2, all_24_1_29, all_0_4_4, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, yields:
% 80.41/53.62  					| (177) all_28_0_32 = 0 | all_24_0_28 = 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) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0))
% 80.41/53.62  					|
% 80.41/53.62  					| Instantiating formula (52) with all_24_0_28, all_28_0_32, all_24_1_29, all_0_2_2, all_0_4_4, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, yields:
% 80.41/53.62  					| (178) all_28_0_32 = 0 | all_24_0_28 = 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) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0))
% 80.41/53.62  					|
% 80.41/53.62  					| Instantiating formula (52) with all_28_0_32, all_28_0_32, 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_28_0_32, yields:
% 80.41/53.62  					| (179) all_28_0_32 = 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))
% 80.41/53.62  					|
% 80.41/53.62  					| Instantiating formula (52) with all_22_0_26, all_0_1_1, all_22_1_27, 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_2_2) = all_0_1_1, apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26, yields:
% 80.41/53.62  					| (180) all_22_0_26 = 0 | all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.41/53.62  					|
% 80.41/53.62  					| Instantiating formula (52) with all_0_1_1, all_22_0_26, all_0_2_2, all_22_1_27, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_0_2_2) = all_0_1_1, apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26, yields:
% 80.41/53.62  					| (181) all_22_0_26 = 0 | all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0))
% 80.41/53.62  					|
% 80.41/53.62  					| Instantiating formula (27) with all_22_0_26, all_0_1_1, all_0_2_2, all_22_1_27, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_2_2) = all_0_1_1, apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26, yields:
% 80.41/53.62  					| (182) all_22_0_26 = 0 | all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.41/53.62  					|
% 80.41/53.62  					| Instantiating formula (27) with all_0_1_1, all_22_0_26, all_22_1_27, 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_2_2) = all_0_1_1, apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26, yields:
% 80.41/53.62  					| (183) all_22_0_26 = 0 | all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0))
% 80.41/53.62  					|
% 80.41/53.62  					| Instantiating formula (52) with all_22_0_26, all_30_0_34, all_22_1_27, all_24_1_29, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26, yields:
% 80.41/53.62  					| (184) all_30_0_34 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.41/53.62  					|
% 80.41/53.62  					| Instantiating formula (52) with all_30_0_34, all_22_0_26, all_24_1_29, all_22_1_27, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26, yields:
% 80.41/53.62  					| (185) all_30_0_34 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0))
% 80.41/53.63  					|
% 80.41/53.63  					| Instantiating formula (27) with all_22_0_26, all_30_0_34, all_24_1_29, all_22_1_27, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26, yields:
% 80.41/53.63  					| (186) all_30_0_34 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.41/53.63  					|
% 80.41/53.63  					| Instantiating formula (27) with all_30_0_34, all_22_0_26, all_22_1_27, all_24_1_29, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26, yields:
% 80.41/53.63  					| (187) all_30_0_34 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0))
% 80.41/53.63  					|
% 80.41/53.63  					| Instantiating formula (52) with all_22_0_26, all_26_0_30, all_22_1_27, all_22_1_27, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26, yields:
% 80.41/53.63  					| (188) all_26_0_30 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.41/53.63  					|
% 80.41/53.63  					| Instantiating formula (52) with all_22_0_26, all_24_0_28, all_22_1_27, all_24_1_29, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26, yields:
% 80.41/53.63  					| (189) all_24_0_28 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 80.41/53.63  					|
% 80.41/53.63  					| Instantiating formula (52) with all_24_0_28, all_22_0_26, all_24_1_29, all_22_1_27, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26, yields:
% 80.41/53.63  					| (190) all_24_0_28 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 80.41/53.63  					|
% 80.41/53.63  					| Instantiating formula (27) with all_22_0_26, all_24_0_28, all_24_1_29, all_22_1_27, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26, yields:
% 80.41/53.63  					| (191) all_24_0_28 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 80.41/53.63  					|
% 80.41/53.63  					| Instantiating formula (27) with all_24_0_28, all_22_0_26, all_22_1_27, all_24_1_29, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_24_1_29) = all_24_0_28, apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26, yields:
% 80.41/53.63  					| (192) all_24_0_28 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 80.41/53.63  					|
% 80.41/53.63  					| Instantiating formula (52) with all_22_0_26, all_28_0_32, all_22_1_27, 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_28_0_32, apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26, yields:
% 80.41/53.63  					| (193) all_28_0_32 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 80.41/53.63  					|
% 80.41/53.63  					| Instantiating formula (52) with all_28_0_32, all_22_0_26, all_0_2_2, all_22_1_27, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26, yields:
% 80.41/53.63  					| (194) all_28_0_32 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 80.41/53.63  					|
% 80.41/53.63  					| Instantiating formula (27) with all_22_0_26, all_28_0_32, all_0_2_2, all_22_1_27, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26, yields:
% 80.41/53.63  					| (195) all_28_0_32 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 80.41/53.63  					|
% 80.41/53.63  					| Instantiating formula (27) with all_28_0_32, all_22_0_26, all_22_1_27, 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_28_0_32, apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26, yields:
% 80.41/53.63  					| (196) all_28_0_32 = 0 | all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 80.41/53.63  					|
% 80.41/53.63  					| Instantiating formula (35) with all_22_0_26, all_22_0_26, all_22_1_27, all_22_1_27, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26, distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 80.41/53.63  					| (197) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_22_1_27) = v0))
% 80.41/53.63  					|
% 80.41/53.63  					| Instantiating formula (52) with all_22_0_26, all_22_0_26, all_22_1_27, all_22_1_27, all_0_5_5, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26, yields:
% 80.41/53.63  					| (198) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 80.41/53.63  					|
% 80.41/53.63  					| Instantiating formula (52) with all_20_0_24, all_0_1_1, all_0_2_2, 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_2_2) = all_0_1_1, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 80.41/53.63  					| (199) all_20_0_24 = 0 | all_0_1_1 = 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_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.41/53.64  					|
% 80.41/53.64  					| Instantiating formula (52) with all_20_0_24, all_30_0_34, all_0_2_2, all_24_1_29, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 80.41/53.64  					| (200) all_30_0_34 = 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_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.41/53.64  					|
% 80.41/53.64  					| Instantiating formula (52) with all_30_0_34, 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_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 80.41/53.64  					| (201) all_30_0_34 = 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_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_3_3) = v0))
% 80.41/53.64  					|
% 80.41/53.64  					| Instantiating formula (27) with all_20_0_24, all_30_0_34, all_24_1_29, all_0_2_2, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 80.41/53.64  					| (202) all_30_0_34 = 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_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.41/53.64  					|
% 80.41/53.64  					| Instantiating formula (27) with all_30_0_34, all_20_0_24, 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_3_3, all_24_1_29) = all_30_0_34, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 80.41/53.64  					| (203) all_30_0_34 = 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_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_3_3) = v0))
% 80.41/53.64  					|
% 80.41/53.64  					| Instantiating formula (52) with all_20_0_24, all_26_0_30, all_0_2_2, all_22_1_27, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 80.41/53.64  					| (204) all_26_0_30 = 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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.41/53.64  					|
% 80.41/53.64  					| Instantiating formula (27) with all_20_0_24, all_26_0_30, all_22_1_27, all_0_2_2, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 80.41/53.64  					| (205) all_26_0_30 = 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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.41/53.64  					|
% 80.41/53.64  					| Instantiating formula (27) with all_26_0_30, all_20_0_24, all_0_2_2, all_22_1_27, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_3_3, all_22_1_27) = all_26_0_30, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 80.41/53.64  					| (206) all_26_0_30 = 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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0))
% 80.41/53.64  					|
% 80.41/53.64  					| Instantiating formula (52) with all_20_0_24, all_24_0_28, all_0_2_2, all_24_1_29, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, 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:
% 80.41/53.64  					| (207) all_24_0_28 = 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_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_5_5) = v0))
% 80.41/53.64  					|
% 80.41/53.64  					| Instantiating formula (52) with all_24_0_28, 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_4_4, 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:
% 80.41/53.64  					| (208) all_24_0_28 = 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_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_4_4) = v0))
% 80.41/53.64  					|
% 80.41/53.64  					| Instantiating formula (27) with all_20_0_24, all_24_0_28, 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_24_1_29) = all_24_0_28, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 80.41/53.64  					| (209) all_24_0_28 = 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_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_5_5) = v0))
% 80.41/53.64  					|
% 80.41/53.64  					| Instantiating formula (27) with all_24_0_28, all_20_0_24, 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_24_1_29) = all_24_0_28, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 80.41/53.64  					| (210) all_24_0_28 = 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_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_4_4) = v0))
% 80.41/53.64  					|
% 80.41/53.64  					| Instantiating formula (52) with all_20_0_24, all_28_0_32, 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_28_0_32, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 80.41/53.64  					| (211) all_28_0_32 = 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))
% 80.41/53.64  					|
% 80.41/53.64  					| Instantiating formula (35) with all_20_0_24, all_22_0_26, all_0_2_2, all_22_1_27, all_0_3_3, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_22_1_27) = 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:
% 80.41/53.64  					| (212) all_22_0_26 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0))
% 80.41/53.64  					|
% 80.41/53.64  					| Instantiating formula (35) with all_20_0_24, all_22_0_26, all_0_2_2, all_22_1_27, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_22_1_27) = 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:
% 80.41/53.64  					| (213) all_22_0_26 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0))
% 80.41/53.64  					|
% 80.41/53.64  					| Instantiating formula (35) with all_22_0_26, all_20_0_24, all_22_1_27, all_0_2_2, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_22_1_27) = 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:
% 80.41/53.64  					| (214) all_22_0_26 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 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_22_1_27) = v0))
% 80.41/53.64  					|
% 80.41/53.64  					| Instantiating formula (52) with all_20_0_24, all_22_0_26, all_0_2_2, all_22_1_27, all_0_5_5, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 80.41/53.64  					| (215) all_22_0_26 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 80.41/53.64  					|
% 80.41/53.64  					| Instantiating formula (52) with all_22_0_26, all_20_0_24, all_22_1_27, all_0_2_2, all_0_5_5, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_22_1_27) = all_22_0_26, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 80.41/53.64  					| (216) all_22_0_26 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 80.41/53.64  					|
% 80.41/53.64  					| 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_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, yields:
% 80.41/53.65  					| (217) 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))
% 80.41/53.65  					|
% 80.41/53.65  					| Instantiating formula (46) with all_28_0_32, all_0_1_1, all_0_2_2, all_0_0_0, all_0_4_4, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_2_2) = all_0_1_1, apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, distinct_lines(all_0_0_0, all_0_2_2) = 0, yields:
% 80.41/53.65  					| (218) all_28_0_32 = 0 | all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_0_0) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_0_0) = 0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.41/53.65  					|
% 80.41/53.65  					| Instantiating formula (46) with all_28_0_32, all_28_0_32, all_0_2_2, all_0_0_0, all_0_4_4, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, distinct_lines(all_0_0_0, all_0_2_2) = 0, yields:
% 80.41/53.65  					| (219) all_28_0_32 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_0_0) = 0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0))
% 80.41/53.65  					|
% 80.41/53.65  					| Instantiating formula (46) with all_28_0_32, all_20_0_24, all_0_2_2, all_0_0_0, all_0_4_4, all_0_5_5 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, distinct_lines(all_0_0_0, all_0_2_2) = 0, yields:
% 80.41/53.65  					| (220) all_28_0_32 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_0_0) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_0_0) = 0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 80.41/53.65  					|
% 80.41/53.65  					| Instantiating formula (46) with all_20_0_24, all_0_1_1, all_0_2_2, all_0_0_0, all_0_5_5, all_0_3_3 and discharging atoms apart_point_and_line(all_0_3_3, all_0_2_2) = all_0_1_1, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, distinct_lines(all_0_0_0, all_0_2_2) = 0, yields:
% 80.41/53.65  					| (221) all_20_0_24 = 0 | all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_0_0) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_0_0) = 0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.41/53.65  					|
% 80.41/53.65  					| Instantiating formula (46) with all_20_0_24, all_28_0_32, all_0_2_2, all_0_0_0, all_0_5_5, all_0_4_4 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, apart_point_and_line(all_0_5_5, all_0_2_2) = all_20_0_24, distinct_lines(all_0_0_0, all_0_2_2) = 0, yields:
% 80.41/53.65  					| (222) all_28_0_32 = 0 | all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_0_0) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_0_0) = 0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 80.41/53.65  					|
% 80.41/53.65  					| Instantiating formula (46) with all_20_0_24, all_20_0_24, all_0_2_2, all_0_0_0, 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, distinct_lines(all_0_0_0, all_0_2_2) = 0, yields:
% 80.41/53.65  					| (223) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_0_0) = 0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 80.41/53.65  					|
% 80.41/53.65  					| Instantiating formula (8) with all_0_2_2, all_0_0_0, all_0_4_4, all_0_5_5 and discharging atoms distinct_lines(all_0_0_0, all_0_2_2) = 0, distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 80.41/53.65  					| (224)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_0_0) = 0) | (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_0_0) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0))
% 80.41/53.65  					|
% 80.41/53.65  					| Instantiating (224) with all_81_0_44 yields:
% 80.41/53.65  					| (225) (all_81_0_44 = 0 & apart_point_and_line(all_0_4_4, all_0_0_0) = 0) | (all_81_0_44 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (all_81_0_44 = 0 & apart_point_and_line(all_0_5_5, all_0_0_0) = 0) | (all_81_0_44 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0)
% 80.41/53.65  					|
% 80.41/53.65  					+-Applying beta-rule and splitting (96), into two cases.
% 80.41/53.65  					|-Branch one:
% 80.41/53.65  					| (226)  ~ (all_33_0_37 = 0) & apart_point_and_line(all_0_4_4, all_0_0_0) = all_33_0_37
% 80.41/53.65  					|
% 80.41/53.65  						| Applying alpha-rule on (226) yields:
% 80.41/53.65  						| (227)  ~ (all_33_0_37 = 0)
% 80.41/53.65  						| (228) apart_point_and_line(all_0_4_4, all_0_0_0) = all_33_0_37
% 80.41/53.65  						|
% 80.41/53.65  						+-Applying beta-rule and splitting (220), into two cases.
% 80.41/53.65  						|-Branch one:
% 80.41/53.65  						| (229) all_28_0_32 = 0
% 80.41/53.65  						|
% 80.41/53.65  							| Equations (229) can reduce 88 to:
% 80.41/53.65  							| (103) $false
% 80.41/53.65  							|
% 80.41/53.65  							|-The branch is then unsatisfiable
% 80.41/53.65  						|-Branch two:
% 80.41/53.65  						| (88)  ~ (all_28_0_32 = 0)
% 80.41/53.65  						| (232) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_0_0) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_0_0) = 0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 80.41/53.65  						|
% 80.41/53.65  							+-Applying beta-rule and splitting (223), into two cases.
% 80.41/53.65  							|-Branch one:
% 80.41/53.65  							| (233) all_20_0_24 = 0
% 80.41/53.65  							|
% 80.41/53.65  								| Equations (233) can reduce 72 to:
% 80.41/53.65  								| (103) $false
% 80.41/53.65  								|
% 80.41/53.65  								|-The branch is then unsatisfiable
% 80.41/53.65  							|-Branch two:
% 80.41/53.65  							| (72)  ~ (all_20_0_24 = 0)
% 80.41/53.65  							| (236)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_0_0) = 0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 80.41/53.65  							|
% 80.41/53.65  								+-Applying beta-rule and splitting (150), into two cases.
% 80.41/53.65  								|-Branch one:
% 80.41/53.65  								| (237) all_26_0_30 = 0
% 80.41/53.65  								|
% 80.41/53.65  									| Equations (237) can reduce 84 to:
% 80.41/53.65  									| (103) $false
% 80.41/53.65  									|
% 80.41/53.65  									|-The branch is then unsatisfiable
% 80.41/53.65  								|-Branch two:
% 80.41/53.65  								| (84)  ~ (all_26_0_30 = 0)
% 80.41/53.65  								| (240)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0))
% 80.41/53.65  								|
% 80.41/53.65  									+-Applying beta-rule and splitting (161), into two cases.
% 80.41/53.65  									|-Branch one:
% 80.41/53.65  									| (241) all_24_0_28 = 0
% 80.41/53.65  									|
% 80.41/53.65  										| Equations (241) can reduce 80 to:
% 80.41/53.65  										| (103) $false
% 80.41/53.65  										|
% 80.41/53.65  										|-The branch is then unsatisfiable
% 80.41/53.65  									|-Branch two:
% 80.41/53.65  									| (80)  ~ (all_24_0_28 = 0)
% 80.41/53.65  									| (244)  ? [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))
% 80.41/53.65  									|
% 80.41/53.65  										+-Applying beta-rule and splitting (162), into two cases.
% 80.41/53.65  										|-Branch one:
% 80.41/53.65  										| (241) all_24_0_28 = 0
% 80.41/53.65  										|
% 80.41/53.65  											| Equations (241) can reduce 80 to:
% 80.41/53.65  											| (103) $false
% 80.41/53.65  											|
% 80.41/53.65  											|-The branch is then unsatisfiable
% 80.41/53.65  										|-Branch two:
% 80.41/53.65  										| (80)  ~ (all_24_0_28 = 0)
% 80.41/53.65  										| (248)  ? [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))
% 80.41/53.65  										|
% 80.41/53.65  											+-Applying beta-rule and splitting (163), into two cases.
% 80.41/53.65  											|-Branch one:
% 80.41/53.65  											| (241) all_24_0_28 = 0
% 80.41/53.65  											|
% 80.41/53.65  												| Equations (241) can reduce 80 to:
% 80.41/53.65  												| (103) $false
% 80.41/53.65  												|
% 80.41/53.65  												|-The branch is then unsatisfiable
% 80.41/53.65  											|-Branch two:
% 80.41/53.65  											| (80)  ~ (all_24_0_28 = 0)
% 80.41/53.65  											| (252)  ? [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) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0))
% 80.41/53.65  											|
% 80.41/53.65  												+-Applying beta-rule and splitting (179), into two cases.
% 80.41/53.65  												|-Branch one:
% 80.41/53.65  												| (229) all_28_0_32 = 0
% 80.41/53.65  												|
% 80.41/53.65  													| Equations (229) can reduce 88 to:
% 80.41/53.65  													| (103) $false
% 80.41/53.65  													|
% 80.41/53.65  													|-The branch is then unsatisfiable
% 80.41/53.65  												|-Branch two:
% 80.41/53.65  												| (88)  ~ (all_28_0_32 = 0)
% 80.41/53.65  												| (256)  ? [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))
% 80.41/53.65  												|
% 80.41/53.65  													+-Applying beta-rule and splitting (217), into two cases.
% 80.41/53.65  													|-Branch one:
% 80.41/53.65  													| (233) all_20_0_24 = 0
% 80.41/53.65  													|
% 80.41/53.65  														| Equations (233) can reduce 72 to:
% 80.41/53.65  														| (103) $false
% 80.41/53.65  														|
% 80.41/53.65  														|-The branch is then unsatisfiable
% 80.41/53.65  													|-Branch two:
% 80.41/53.65  													| (72)  ~ (all_20_0_24 = 0)
% 80.41/53.65  													| (260)  ? [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))
% 80.41/53.65  													|
% 80.41/53.65  														+-Applying beta-rule and splitting (219), into two cases.
% 80.41/53.65  														|-Branch one:
% 80.41/53.65  														| (229) all_28_0_32 = 0
% 80.41/53.65  														|
% 80.41/53.65  															| Equations (229) can reduce 88 to:
% 80.41/53.65  															| (103) $false
% 80.41/53.65  															|
% 80.41/53.65  															|-The branch is then unsatisfiable
% 80.41/53.65  														|-Branch two:
% 80.41/53.65  														| (88)  ~ (all_28_0_32 = 0)
% 80.41/53.65  														| (264)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_0_0) = 0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0))
% 80.41/53.65  														|
% 80.41/53.65  															+-Applying beta-rule and splitting (164), into two cases.
% 80.41/53.65  															|-Branch one:
% 80.41/53.65  															| (229) all_28_0_32 = 0
% 80.41/53.65  															|
% 80.41/53.65  																| Equations (229) can reduce 88 to:
% 80.41/53.65  																| (103) $false
% 80.41/53.65  																|
% 80.41/53.65  																|-The branch is then unsatisfiable
% 80.41/53.65  															|-Branch two:
% 80.41/53.65  															| (88)  ~ (all_28_0_32 = 0)
% 80.41/53.65  															| (268) all_0_1_1 = 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_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.41/53.66  															|
% 80.41/53.66  																+-Applying beta-rule and splitting (167), into two cases.
% 80.41/53.66  																|-Branch one:
% 80.41/53.66  																| (269) all_30_0_34 = 0
% 80.41/53.66  																|
% 80.41/53.66  																	| Equations (269) can reduce 92 to:
% 80.41/53.66  																	| (103) $false
% 80.41/53.66  																	|
% 80.41/53.66  																	|-The branch is then unsatisfiable
% 80.41/53.66  																|-Branch two:
% 80.41/53.66  																| (92)  ~ (all_30_0_34 = 0)
% 80.41/53.66  																| (272) 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_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.41/53.66  																|
% 80.41/53.66  																	+-Applying beta-rule and splitting (165), into two cases.
% 80.41/53.66  																	|-Branch one:
% 80.41/53.66  																	| (269) all_30_0_34 = 0
% 80.41/53.66  																	|
% 80.41/53.66  																		| Equations (269) can reduce 92 to:
% 80.41/53.66  																		| (103) $false
% 80.41/53.66  																		|
% 80.41/53.66  																		|-The branch is then unsatisfiable
% 80.41/53.66  																	|-Branch two:
% 80.41/53.66  																	| (92)  ~ (all_30_0_34 = 0)
% 80.41/53.66  																	| (276) 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_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.41/53.66  																	|
% 80.41/53.66  																		+-Applying beta-rule and splitting (166), into two cases.
% 80.41/53.66  																		|-Branch one:
% 80.41/53.66  																		| (269) all_30_0_34 = 0
% 80.41/53.66  																		|
% 80.41/53.66  																			| Equations (269) can reduce 92 to:
% 80.41/53.66  																			| (103) $false
% 80.41/53.66  																			|
% 80.41/53.66  																			|-The branch is then unsatisfiable
% 80.41/53.66  																		|-Branch two:
% 80.41/53.66  																		| (92)  ~ (all_30_0_34 = 0)
% 80.41/53.66  																		| (280) 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_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_3_3) = v0))
% 80.41/53.66  																		|
% 80.41/53.66  																			+-Applying beta-rule and splitting (158), into two cases.
% 80.41/53.66  																			|-Branch one:
% 80.41/53.66  																			| (237) all_26_0_30 = 0
% 80.41/53.66  																			|
% 80.41/53.66  																				| Equations (237) can reduce 84 to:
% 80.41/53.66  																				| (103) $false
% 80.41/53.66  																				|
% 80.41/53.66  																				|-The branch is then unsatisfiable
% 80.41/53.66  																			|-Branch two:
% 80.41/53.66  																			| (84)  ~ (all_26_0_30 = 0)
% 80.41/53.66  																			| (284) all_24_0_28 = 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_4_4, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0))
% 80.41/53.66  																			|
% 80.41/53.66  																				+-Applying beta-rule and splitting (221), into two cases.
% 80.41/53.66  																				|-Branch one:
% 80.41/53.66  																				| (233) all_20_0_24 = 0
% 80.41/53.66  																				|
% 80.41/53.66  																					| Equations (233) can reduce 72 to:
% 80.41/53.66  																					| (103) $false
% 80.41/53.66  																					|
% 80.41/53.66  																					|-The branch is then unsatisfiable
% 80.41/53.66  																				|-Branch two:
% 80.41/53.66  																				| (72)  ~ (all_20_0_24 = 0)
% 80.41/53.66  																				| (288) all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_0_0) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_0_0) = 0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.41/53.66  																				|
% 80.41/53.66  																					+-Applying beta-rule and splitting (168), into two cases.
% 80.41/53.66  																					|-Branch one:
% 80.41/53.66  																					| (269) all_30_0_34 = 0
% 80.41/53.66  																					|
% 80.41/53.66  																						| Equations (269) can reduce 92 to:
% 80.41/53.66  																						| (103) $false
% 80.41/53.66  																						|
% 80.41/53.66  																						|-The branch is then unsatisfiable
% 80.41/53.66  																					|-Branch two:
% 80.41/53.66  																					| (92)  ~ (all_30_0_34 = 0)
% 80.41/53.66  																					| (292) 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_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_3_3) = v0))
% 80.41/53.66  																					|
% 80.41/53.66  																						+-Applying beta-rule and splitting (181), into two cases.
% 80.41/53.66  																						|-Branch one:
% 80.41/53.66  																						| (293) all_22_0_26 = 0
% 80.41/53.66  																						|
% 80.41/53.66  																							| Equations (293) can reduce 76 to:
% 80.41/53.66  																							| (103) $false
% 80.41/53.66  																							|
% 80.41/53.66  																							|-The branch is then unsatisfiable
% 80.41/53.66  																						|-Branch two:
% 80.41/53.66  																						| (76)  ~ (all_22_0_26 = 0)
% 80.41/53.66  																						| (296) all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0))
% 80.41/53.66  																						|
% 80.41/53.66  																							+-Applying beta-rule and splitting (152), into two cases.
% 80.41/53.66  																							|-Branch one:
% 80.41/53.66  																							| (241) all_24_0_28 = 0
% 80.41/53.66  																							|
% 80.41/53.66  																								| Equations (241) can reduce 80 to:
% 80.41/53.66  																								| (103) $false
% 80.41/53.66  																								|
% 80.41/53.66  																								|-The branch is then unsatisfiable
% 80.41/53.66  																							|-Branch two:
% 80.41/53.66  																							| (80)  ~ (all_24_0_28 = 0)
% 80.41/53.66  																							| (300) all_0_1_1 = 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_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0))
% 80.41/53.66  																							|
% 80.41/53.66  																								+-Applying beta-rule and splitting (216), into two cases.
% 80.41/53.66  																								|-Branch one:
% 80.41/53.66  																								| (293) all_22_0_26 = 0
% 80.41/53.66  																								|
% 80.41/53.66  																									| Equations (293) can reduce 76 to:
% 80.41/53.66  																									| (103) $false
% 80.41/53.66  																									|
% 80.41/53.66  																									|-The branch is then unsatisfiable
% 80.41/53.66  																								|-Branch two:
% 80.41/53.66  																								| (76)  ~ (all_22_0_26 = 0)
% 80.41/53.66  																								| (304) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 80.41/53.66  																								|
% 80.41/53.66  																									+-Applying beta-rule and splitting (151), into two cases.
% 80.41/53.66  																									|-Branch one:
% 80.41/53.66  																									| (241) all_24_0_28 = 0
% 80.41/53.66  																									|
% 80.41/53.66  																										| Equations (241) can reduce 80 to:
% 80.41/53.66  																										| (103) $false
% 80.41/53.66  																										|
% 80.41/53.66  																										|-The branch is then unsatisfiable
% 80.41/53.66  																									|-Branch two:
% 80.41/53.66  																									| (80)  ~ (all_24_0_28 = 0)
% 80.41/53.66  																									| (308) all_0_1_1 = 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_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.41/53.66  																									|
% 80.41/53.66  																										+-Applying beta-rule and splitting (213), into two cases.
% 80.41/53.66  																										|-Branch one:
% 80.41/53.66  																										| (293) all_22_0_26 = 0
% 80.41/53.66  																										|
% 80.41/53.66  																											| Equations (293) can reduce 76 to:
% 80.41/53.66  																											| (103) $false
% 80.41/53.66  																											|
% 80.41/53.66  																											|-The branch is then unsatisfiable
% 80.41/53.66  																										|-Branch two:
% 80.41/53.66  																										| (76)  ~ (all_22_0_26 = 0)
% 80.41/53.66  																										| (312) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0))
% 80.41/53.66  																										|
% 80.41/53.66  																											+-Applying beta-rule and splitting (214), into two cases.
% 80.41/53.66  																											|-Branch one:
% 80.41/53.66  																											| (293) all_22_0_26 = 0
% 80.41/53.66  																											|
% 80.41/53.66  																												| Equations (293) can reduce 76 to:
% 80.41/53.66  																												| (103) $false
% 80.41/53.66  																												|
% 80.41/53.66  																												|-The branch is then unsatisfiable
% 80.41/53.66  																											|-Branch two:
% 80.41/53.66  																											| (76)  ~ (all_22_0_26 = 0)
% 80.41/53.66  																											| (316) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 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_22_1_27) = v0))
% 80.41/53.66  																											|
% 80.41/53.66  																												+-Applying beta-rule and splitting (215), into two cases.
% 80.41/53.66  																												|-Branch one:
% 80.41/53.66  																												| (293) all_22_0_26 = 0
% 80.41/53.66  																												|
% 80.41/53.66  																													| Equations (293) can reduce 76 to:
% 80.41/53.66  																													| (103) $false
% 80.41/53.66  																													|
% 80.41/53.66  																													|-The branch is then unsatisfiable
% 80.41/53.66  																												|-Branch two:
% 80.41/53.66  																												| (76)  ~ (all_22_0_26 = 0)
% 80.86/53.66  																												| (320) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 80.86/53.66  																												|
% 80.86/53.66  																													+-Applying beta-rule and splitting (218), into two cases.
% 80.86/53.66  																													|-Branch one:
% 80.86/53.66  																													| (229) all_28_0_32 = 0
% 80.86/53.66  																													|
% 80.86/53.66  																														| Equations (229) can reduce 88 to:
% 80.86/53.66  																														| (103) $false
% 80.86/53.66  																														|
% 80.86/53.66  																														|-The branch is then unsatisfiable
% 80.86/53.66  																													|-Branch two:
% 80.86/53.66  																													| (88)  ~ (all_28_0_32 = 0)
% 80.86/53.66  																													| (324) all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_0_0_0) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_0_0) = 0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.86/53.66  																													|
% 80.86/53.66  																														+-Applying beta-rule and splitting (169), into two cases.
% 80.86/53.66  																														|-Branch one:
% 80.86/53.66  																														| (229) all_28_0_32 = 0
% 80.86/53.66  																														|
% 80.86/53.66  																															| Equations (229) can reduce 88 to:
% 80.86/53.66  																															| (103) $false
% 80.86/53.66  																															|
% 80.86/53.66  																															|-The branch is then unsatisfiable
% 80.86/53.66  																														|-Branch two:
% 80.86/53.66  																														| (88)  ~ (all_28_0_32 = 0)
% 80.86/53.66  																														| (328) all_26_0_30 = 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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.86/53.66  																														|
% 80.86/53.66  																															+-Applying beta-rule and splitting (170), into two cases.
% 80.86/53.66  																															|-Branch one:
% 80.86/53.66  																															| (229) all_28_0_32 = 0
% 80.86/53.66  																															|
% 80.86/53.66  																																| Equations (229) can reduce 88 to:
% 80.86/53.66  																																| (103) $false
% 80.86/53.66  																																|
% 80.86/53.66  																																|-The branch is then unsatisfiable
% 80.86/53.66  																															|-Branch two:
% 80.86/53.66  																															| (88)  ~ (all_28_0_32 = 0)
% 80.86/53.66  																															| (332) all_26_0_30 = 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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0))
% 80.86/53.66  																															|
% 80.86/53.66  																																+-Applying beta-rule and splitting (171), into two cases.
% 80.86/53.66  																																|-Branch one:
% 80.86/53.66  																																| (229) all_28_0_32 = 0
% 80.86/53.66  																																|
% 80.86/53.66  																																	| Equations (229) can reduce 88 to:
% 80.86/53.66  																																	| (103) $false
% 80.86/53.66  																																	|
% 80.86/53.66  																																	|-The branch is then unsatisfiable
% 80.86/53.66  																																|-Branch two:
% 80.86/53.66  																																| (88)  ~ (all_28_0_32 = 0)
% 80.86/53.66  																																| (336) all_26_0_30 = 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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.86/53.66  																																|
% 80.86/53.66  																																	+-Applying beta-rule and splitting (172), into two cases.
% 80.86/53.66  																																	|-Branch one:
% 80.86/53.66  																																	| (229) all_28_0_32 = 0
% 80.86/53.66  																																	|
% 80.86/53.66  																																		| Equations (229) can reduce 88 to:
% 80.86/53.66  																																		| (103) $false
% 80.86/53.66  																																		|
% 80.86/53.66  																																		|-The branch is then unsatisfiable
% 80.86/53.66  																																	|-Branch two:
% 80.86/53.66  																																	| (88)  ~ (all_28_0_32 = 0)
% 80.86/53.66  																																	| (340) all_26_0_30 = 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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0))
% 80.86/53.66  																																	|
% 80.86/53.66  																																		+-Applying beta-rule and splitting (182), into two cases.
% 80.86/53.66  																																		|-Branch one:
% 80.86/53.66  																																		| (293) all_22_0_26 = 0
% 80.86/53.66  																																		|
% 80.86/53.66  																																			| Equations (293) can reduce 76 to:
% 80.86/53.66  																																			| (103) $false
% 80.86/53.66  																																			|
% 80.86/53.66  																																			|-The branch is then unsatisfiable
% 80.86/53.66  																																		|-Branch two:
% 80.86/53.66  																																		| (76)  ~ (all_22_0_26 = 0)
% 80.86/53.66  																																		| (344) all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.86/53.66  																																		|
% 80.86/53.66  																																			+-Applying beta-rule and splitting (180), into two cases.
% 80.86/53.66  																																			|-Branch one:
% 80.86/53.66  																																			| (293) all_22_0_26 = 0
% 80.86/53.66  																																			|
% 80.86/53.66  																																				| Equations (293) can reduce 76 to:
% 80.86/53.66  																																				| (103) $false
% 80.86/53.66  																																				|
% 80.86/53.66  																																				|-The branch is then unsatisfiable
% 80.86/53.66  																																			|-Branch two:
% 80.86/53.66  																																			| (76)  ~ (all_22_0_26 = 0)
% 80.86/53.66  																																			| (348) all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.86/53.67  																																			|
% 80.86/53.67  																																				+-Applying beta-rule and splitting (183), into two cases.
% 80.86/53.67  																																				|-Branch one:
% 80.86/53.67  																																				| (293) all_22_0_26 = 0
% 80.86/53.67  																																				|
% 80.86/53.67  																																					| Equations (293) can reduce 76 to:
% 80.86/53.67  																																					| (103) $false
% 80.86/53.67  																																					|
% 80.86/53.67  																																					|-The branch is then unsatisfiable
% 80.86/53.67  																																				|-Branch two:
% 80.86/53.67  																																				| (76)  ~ (all_22_0_26 = 0)
% 80.86/53.67  																																				| (352) all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0))
% 80.86/53.67  																																				|
% 80.86/53.67  																																					+-Applying beta-rule and splitting (184), into two cases.
% 80.86/53.67  																																					|-Branch one:
% 80.86/53.67  																																					| (269) all_30_0_34 = 0
% 80.86/53.67  																																					|
% 80.86/53.67  																																						| Equations (269) can reduce 92 to:
% 80.86/53.67  																																						| (103) $false
% 80.86/53.67  																																						|
% 80.86/53.67  																																						|-The branch is then unsatisfiable
% 80.86/53.67  																																					|-Branch two:
% 80.86/53.67  																																					| (92)  ~ (all_30_0_34 = 0)
% 80.86/53.67  																																					| (356) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.86/53.67  																																					|
% 80.86/53.67  																																						+-Applying beta-rule and splitting (175), into two cases.
% 80.86/53.67  																																						|-Branch one:
% 80.86/53.67  																																						| (229) all_28_0_32 = 0
% 80.86/53.67  																																						|
% 80.86/53.67  																																							| Equations (229) can reduce 88 to:
% 80.86/53.67  																																							| (103) $false
% 80.86/53.67  																																							|
% 80.86/53.67  																																							|-The branch is then unsatisfiable
% 80.86/53.67  																																						|-Branch two:
% 80.86/53.67  																																						| (88)  ~ (all_28_0_32 = 0)
% 80.86/53.67  																																						| (360) 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))
% 80.86/53.67  																																						|
% 80.86/53.67  																																							+-Applying beta-rule and splitting (173), into two cases.
% 80.86/53.67  																																							|-Branch one:
% 80.86/53.67  																																							| (229) all_28_0_32 = 0
% 80.86/53.67  																																							|
% 80.86/53.67  																																								| Equations (229) can reduce 88 to:
% 80.86/53.67  																																								| (103) $false
% 80.86/53.67  																																								|
% 80.86/53.67  																																								|-The branch is then unsatisfiable
% 80.86/53.67  																																							|-Branch two:
% 80.86/53.67  																																							| (88)  ~ (all_28_0_32 = 0)
% 80.86/53.67  																																							| (364) all_24_0_28 = 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))
% 80.86/53.67  																																							|
% 80.86/53.67  																																								+-Applying beta-rule and splitting (174), into two cases.
% 80.86/53.67  																																								|-Branch one:
% 80.86/53.67  																																								| (229) all_28_0_32 = 0
% 80.86/53.67  																																								|
% 80.86/53.67  																																									| Equations (229) can reduce 88 to:
% 80.86/53.67  																																									| (103) $false
% 80.86/53.67  																																									|
% 80.86/53.67  																																									|-The branch is then unsatisfiable
% 80.86/53.67  																																								|-Branch two:
% 80.86/53.67  																																								| (88)  ~ (all_28_0_32 = 0)
% 80.86/53.67  																																								| (368) all_24_0_28 = 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))
% 80.86/53.67  																																								|
% 80.86/53.67  																																									+-Applying beta-rule and splitting (176), into two cases.
% 80.86/53.67  																																									|-Branch one:
% 80.86/53.67  																																									| (229) all_28_0_32 = 0
% 80.86/53.67  																																									|
% 80.86/53.67  																																										| Equations (229) can reduce 88 to:
% 80.86/53.67  																																										| (103) $false
% 80.86/53.67  																																										|
% 80.86/53.67  																																										|-The branch is then unsatisfiable
% 80.86/53.67  																																									|-Branch two:
% 80.86/53.67  																																									| (88)  ~ (all_28_0_32 = 0)
% 80.86/53.67  																																									| (372) 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))
% 80.86/53.67  																																									|
% 80.86/53.67  																																										+-Applying beta-rule and splitting (177), into two cases.
% 80.86/53.67  																																										|-Branch one:
% 80.86/53.67  																																										| (229) all_28_0_32 = 0
% 80.86/53.67  																																										|
% 80.86/53.67  																																											| Equations (229) can reduce 88 to:
% 80.86/53.67  																																											| (103) $false
% 80.86/53.67  																																											|
% 80.86/53.67  																																											|-The branch is then unsatisfiable
% 80.86/53.67  																																										|-Branch two:
% 80.86/53.67  																																										| (88)  ~ (all_28_0_32 = 0)
% 80.86/53.67  																																										| (376) all_24_0_28 = 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) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0))
% 80.86/53.67  																																										|
% 80.86/53.67  																																											+-Applying beta-rule and splitting (178), into two cases.
% 80.86/53.67  																																											|-Branch one:
% 80.86/53.67  																																											| (229) all_28_0_32 = 0
% 80.86/53.67  																																											|
% 80.86/53.67  																																												| Equations (229) can reduce 88 to:
% 80.86/53.67  																																												| (103) $false
% 80.86/53.67  																																												|
% 80.86/53.67  																																												|-The branch is then unsatisfiable
% 80.86/53.67  																																											|-Branch two:
% 80.86/53.67  																																											| (88)  ~ (all_28_0_32 = 0)
% 80.86/53.67  																																											| (380) all_24_0_28 = 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) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_4_4) = v0))
% 80.86/53.67  																																											|
% 80.86/53.67  																																												+-Applying beta-rule and splitting (153), into two cases.
% 80.86/53.67  																																												|-Branch one:
% 80.86/53.67  																																												| (241) all_24_0_28 = 0
% 80.86/53.67  																																												|
% 80.86/53.67  																																													| Equations (241) can reduce 80 to:
% 80.86/53.67  																																													| (103) $false
% 80.86/53.67  																																													|
% 80.86/53.67  																																													|-The branch is then unsatisfiable
% 80.86/53.67  																																												|-Branch two:
% 80.86/53.67  																																												| (80)  ~ (all_24_0_28 = 0)
% 80.86/53.67  																																												| (384) all_0_1_1 = 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_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.86/53.67  																																												|
% 80.86/53.67  																																													+-Applying beta-rule and splitting (154), into two cases.
% 80.86/53.67  																																													|-Branch one:
% 80.86/53.67  																																													| (241) all_24_0_28 = 0
% 80.86/53.67  																																													|
% 80.86/53.67  																																														| Equations (241) can reduce 80 to:
% 80.86/53.67  																																														| (103) $false
% 80.86/53.67  																																														|
% 80.86/53.67  																																														|-The branch is then unsatisfiable
% 80.86/53.67  																																													|-Branch two:
% 80.86/53.67  																																													| (80)  ~ (all_24_0_28 = 0)
% 80.86/53.67  																																													| (388) all_0_1_1 = 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_4_4, 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_3_3) = v0))
% 80.86/53.67  																																													|
% 80.86/53.67  																																														+-Applying beta-rule and splitting (155), into two cases.
% 80.86/53.67  																																														|-Branch one:
% 80.86/53.67  																																														| (269) all_30_0_34 = 0
% 80.86/53.67  																																														|
% 80.86/53.67  																																															| Equations (269) can reduce 92 to:
% 80.86/53.67  																																															| (103) $false
% 80.86/53.67  																																															|
% 80.86/53.67  																																															|-The branch is then unsatisfiable
% 80.86/53.67  																																														|-Branch two:
% 80.86/53.67  																																														| (92)  ~ (all_30_0_34 = 0)
% 80.86/53.67  																																														| (392) all_24_0_28 = 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_4_4, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.86/53.67  																																														|
% 80.86/53.67  																																															+-Applying beta-rule and splitting (156), into two cases.
% 80.86/53.67  																																															|-Branch one:
% 80.86/53.67  																																															| (269) all_30_0_34 = 0
% 80.86/53.67  																																															|
% 80.86/53.67  																																																| Equations (269) can reduce 92 to:
% 80.86/53.67  																																																| (103) $false
% 80.86/53.67  																																																|
% 80.86/53.67  																																																|-The branch is then unsatisfiable
% 80.86/53.67  																																															|-Branch two:
% 80.86/53.67  																																															| (92)  ~ (all_30_0_34 = 0)
% 80.86/53.67  																																															| (396) all_24_0_28 = 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_4_4, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0))
% 80.86/53.67  																																															|
% 80.86/53.67  																																																+-Applying beta-rule and splitting (159), into two cases.
% 80.86/53.67  																																																|-Branch one:
% 80.86/53.67  																																																| (237) all_26_0_30 = 0
% 80.86/53.67  																																																|
% 80.86/53.67  																																																	| Equations (237) can reduce 84 to:
% 80.86/53.67  																																																	| (103) $false
% 80.86/53.67  																																																	|
% 80.86/53.67  																																																	|-The branch is then unsatisfiable
% 80.86/53.67  																																																|-Branch two:
% 80.86/53.67  																																																| (84)  ~ (all_26_0_30 = 0)
% 80.86/53.67  																																																| (400) all_24_0_28 = 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_4_4, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.86/53.67  																																																|
% 80.86/53.67  																																																	+-Applying beta-rule and splitting (157), into two cases.
% 80.86/53.67  																																																	|-Branch one:
% 80.86/53.67  																																																	| (237) all_26_0_30 = 0
% 80.86/53.67  																																																	|
% 80.86/53.67  																																																		| Equations (237) can reduce 84 to:
% 80.86/53.67  																																																		| (103) $false
% 80.86/53.67  																																																		|
% 80.86/53.67  																																																		|-The branch is then unsatisfiable
% 80.86/53.67  																																																	|-Branch two:
% 80.86/53.67  																																																	| (84)  ~ (all_26_0_30 = 0)
% 80.86/53.67  																																																	| (404) all_24_0_28 = 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_4_4, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.86/53.67  																																																	|
% 80.86/53.67  																																																		+-Applying beta-rule and splitting (160), into two cases.
% 80.86/53.67  																																																		|-Branch one:
% 80.86/53.67  																																																		| (237) all_26_0_30 = 0
% 80.86/53.67  																																																		|
% 80.86/53.67  																																																			| Equations (237) can reduce 84 to:
% 80.86/53.67  																																																			| (103) $false
% 80.86/53.67  																																																			|
% 80.86/53.67  																																																			|-The branch is then unsatisfiable
% 80.86/53.67  																																																		|-Branch two:
% 80.86/53.67  																																																		| (84)  ~ (all_26_0_30 = 0)
% 80.86/53.67  																																																		| (408) all_24_0_28 = 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_4_4, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0))
% 80.86/53.67  																																																		|
% 80.86/53.67  																																																			+-Applying beta-rule and splitting (149), into two cases.
% 80.86/53.67  																																																			|-Branch one:
% 80.86/53.67  																																																			| (237) all_26_0_30 = 0
% 80.86/53.67  																																																			|
% 80.86/53.67  																																																				| Equations (237) can reduce 84 to:
% 80.86/53.67  																																																				| (103) $false
% 80.86/53.67  																																																				|
% 80.86/53.67  																																																				|-The branch is then unsatisfiable
% 80.86/53.67  																																																			|-Branch two:
% 80.86/53.67  																																																			| (84)  ~ (all_26_0_30 = 0)
% 80.86/53.67  																																																			| (412)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_22_1_27) = v0))
% 80.86/53.67  																																																			|
% 80.86/53.67  																																																				+-Applying beta-rule and splitting (396), into two cases.
% 80.86/53.67  																																																				|-Branch one:
% 80.86/53.67  																																																				| (241) all_24_0_28 = 0
% 80.86/53.67  																																																				|
% 80.86/53.67  																																																					| Equations (241) can reduce 80 to:
% 80.86/53.67  																																																					| (103) $false
% 80.86/53.67  																																																					|
% 80.86/53.67  																																																					|-The branch is then unsatisfiable
% 80.86/53.67  																																																				|-Branch two:
% 80.86/53.67  																																																				| (80)  ~ (all_24_0_28 = 0)
% 80.86/53.67  																																																				| (416)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 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_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0))
% 80.86/53.67  																																																				|
% 80.86/53.67  																																																					+-Applying beta-rule and splitting (400), into two cases.
% 80.86/53.67  																																																					|-Branch one:
% 80.86/53.67  																																																					| (241) all_24_0_28 = 0
% 80.86/53.67  																																																					|
% 80.86/53.67  																																																						| Equations (241) can reduce 80 to:
% 80.86/53.67  																																																						| (103) $false
% 80.86/53.67  																																																						|
% 80.86/53.67  																																																						|-The branch is then unsatisfiable
% 80.86/53.67  																																																					|-Branch two:
% 80.86/53.67  																																																					| (80)  ~ (all_24_0_28 = 0)
% 80.86/53.67  																																																					| (420)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.86/53.67  																																																					|
% 80.86/53.67  																																																						+-Applying beta-rule and splitting (404), into two cases.
% 80.86/53.67  																																																						|-Branch one:
% 80.86/53.67  																																																						| (241) all_24_0_28 = 0
% 80.86/53.67  																																																						|
% 80.86/53.67  																																																							| Equations (241) can reduce 80 to:
% 80.86/53.67  																																																							| (103) $false
% 80.86/53.67  																																																							|
% 80.86/53.67  																																																							|-The branch is then unsatisfiable
% 80.86/53.67  																																																						|-Branch two:
% 80.86/53.67  																																																						| (80)  ~ (all_24_0_28 = 0)
% 80.86/53.67  																																																						| (424)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.86/53.67  																																																						|
% 80.86/53.67  																																																							+-Applying beta-rule and splitting (232), into two cases.
% 80.86/53.67  																																																							|-Branch one:
% 80.86/53.67  																																																							| (233) all_20_0_24 = 0
% 80.86/53.67  																																																							|
% 80.86/53.67  																																																								| Equations (233) can reduce 72 to:
% 80.86/53.67  																																																								| (103) $false
% 80.86/53.67  																																																								|
% 80.86/53.67  																																																								|-The branch is then unsatisfiable
% 80.86/53.67  																																																							|-Branch two:
% 80.86/53.67  																																																							| (72)  ~ (all_20_0_24 = 0)
% 80.86/53.67  																																																							| (428)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_0_0) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_0_0) = 0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 80.86/53.67  																																																							|
% 80.86/53.67  																																																								+-Applying beta-rule and splitting (148), into two cases.
% 80.86/53.67  																																																								|-Branch one:
% 80.86/53.67  																																																								| (237) all_26_0_30 = 0
% 80.86/53.67  																																																								|
% 80.86/53.67  																																																									| Equations (237) can reduce 84 to:
% 80.86/53.67  																																																									| (103) $false
% 80.86/53.67  																																																									|
% 80.86/53.67  																																																									|-The branch is then unsatisfiable
% 80.86/53.67  																																																								|-Branch two:
% 80.86/53.67  																																																								| (84)  ~ (all_26_0_30 = 0)
% 80.86/53.67  																																																								| (432)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_22_1_27) = v0))
% 80.86/53.67  																																																								|
% 80.86/53.67  																																																									+-Applying beta-rule and splitting (146), into two cases.
% 80.86/53.67  																																																									|-Branch one:
% 80.86/53.67  																																																									| (269) all_30_0_34 = 0
% 80.86/53.67  																																																									|
% 80.86/53.67  																																																										| Equations (269) can reduce 92 to:
% 80.86/53.67  																																																										| (103) $false
% 80.86/53.67  																																																										|
% 80.86/53.67  																																																										|-The branch is then unsatisfiable
% 80.86/53.67  																																																									|-Branch two:
% 80.86/53.67  																																																									| (92)  ~ (all_30_0_34 = 0)
% 80.86/53.67  																																																									| (436) 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_3_3, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0))
% 80.86/53.68  																																																									|
% 80.86/53.68  																																																										+-Applying beta-rule and splitting (142), into two cases.
% 80.86/53.68  																																																										|-Branch one:
% 80.86/53.68  																																																										| (237) all_26_0_30 = 0
% 80.86/53.68  																																																										|
% 80.86/53.68  																																																											| Equations (237) can reduce 84 to:
% 80.86/53.68  																																																											| (103) $false
% 80.86/53.68  																																																											|
% 80.86/53.68  																																																											|-The branch is then unsatisfiable
% 80.86/53.68  																																																										|-Branch two:
% 80.86/53.68  																																																										| (84)  ~ (all_26_0_30 = 0)
% 80.86/53.68  																																																										| (440) all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0))
% 80.86/53.68  																																																										|
% 80.86/53.68  																																																											+-Applying beta-rule and splitting (130), into two cases.
% 80.86/53.68  																																																											|-Branch one:
% 80.86/53.68  																																																											| (269) all_30_0_34 = 0
% 80.86/53.68  																																																											|
% 80.86/53.68  																																																												| Equations (269) can reduce 92 to:
% 80.86/53.68  																																																												| (103) $false
% 80.86/53.68  																																																												|
% 80.86/53.68  																																																												|-The branch is then unsatisfiable
% 80.86/53.68  																																																											|-Branch two:
% 80.86/53.68  																																																											| (92)  ~ (all_30_0_34 = 0)
% 80.86/53.68  																																																											| (444) all_0_1_1 = 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))
% 80.86/53.68  																																																											|
% 80.86/53.68  																																																												+-Applying beta-rule and splitting (143), into two cases.
% 80.86/53.68  																																																												|-Branch one:
% 80.86/53.68  																																																												| (269) all_30_0_34 = 0
% 80.86/53.68  																																																												|
% 80.86/53.68  																																																													| Equations (269) can reduce 92 to:
% 80.86/53.68  																																																													| (103) $false
% 80.86/53.68  																																																													|
% 80.86/53.68  																																																													|-The branch is then unsatisfiable
% 80.86/53.68  																																																												|-Branch two:
% 80.86/53.68  																																																												| (92)  ~ (all_30_0_34 = 0)
% 80.86/53.68  																																																												| (448) 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_4_4, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_22_1_27) = v0))
% 80.86/53.68  																																																												|
% 80.86/53.68  																																																													+-Applying beta-rule and splitting (144), into two cases.
% 80.86/53.68  																																																													|-Branch one:
% 80.86/53.68  																																																													| (269) all_30_0_34 = 0
% 80.86/53.68  																																																													|
% 80.86/53.68  																																																														| Equations (269) can reduce 92 to:
% 80.86/53.68  																																																														| (103) $false
% 80.86/53.68  																																																														|
% 80.86/53.68  																																																														|-The branch is then unsatisfiable
% 80.86/53.68  																																																													|-Branch two:
% 80.86/53.68  																																																													| (92)  ~ (all_30_0_34 = 0)
% 80.86/53.68  																																																													| (452) 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_4_4, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_24_1_29) = v0))
% 80.86/53.68  																																																													|
% 80.86/53.68  																																																														+-Applying beta-rule and splitting (138), into two cases.
% 80.86/53.68  																																																														|-Branch one:
% 80.86/53.68  																																																														| (237) all_26_0_30 = 0
% 80.86/53.68  																																																														|
% 80.86/53.68  																																																															| Equations (237) can reduce 84 to:
% 80.86/53.68  																																																															| (103) $false
% 80.86/53.68  																																																															|
% 80.86/53.68  																																																															|-The branch is then unsatisfiable
% 80.86/53.68  																																																														|-Branch two:
% 80.86/53.68  																																																														| (84)  ~ (all_26_0_30 = 0)
% 80.86/53.68  																																																														| (456) all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0))
% 80.86/53.68  																																																														|
% 80.86/53.68  																																																															+-Applying beta-rule and splitting (139), into two cases.
% 80.86/53.68  																																																															|-Branch one:
% 80.86/53.68  																																																															| (237) all_26_0_30 = 0
% 80.86/53.68  																																																															|
% 80.86/53.68  																																																																| Equations (237) can reduce 84 to:
% 80.86/53.68  																																																																| (103) $false
% 80.86/53.68  																																																																|
% 80.86/53.68  																																																																|-The branch is then unsatisfiable
% 80.86/53.68  																																																															|-Branch two:
% 80.86/53.68  																																																															| (84)  ~ (all_26_0_30 = 0)
% 80.86/53.68  																																																															| (460) all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_22_1_27) = 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_22_1_27) = v0))
% 80.86/53.68  																																																															|
% 80.86/53.68  																																																																+-Applying beta-rule and splitting (140), into two cases.
% 80.86/53.68  																																																																|-Branch one:
% 80.86/53.68  																																																																| (237) all_26_0_30 = 0
% 80.86/53.68  																																																																|
% 80.86/53.68  																																																																	| Equations (237) can reduce 84 to:
% 80.86/53.68  																																																																	| (103) $false
% 80.86/53.68  																																																																	|
% 80.86/53.68  																																																																	|-The branch is then unsatisfiable
% 80.86/53.68  																																																																|-Branch two:
% 80.86/53.68  																																																																| (84)  ~ (all_26_0_30 = 0)
% 80.86/53.68  																																																																| (464) all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0))
% 80.86/53.68  																																																																|
% 80.86/53.68  																																																																	+-Applying beta-rule and splitting (141), into two cases.
% 80.86/53.68  																																																																	|-Branch one:
% 80.86/53.68  																																																																	| (237) all_26_0_30 = 0
% 80.86/53.68  																																																																	|
% 80.86/53.68  																																																																		| Equations (237) can reduce 84 to:
% 80.86/53.68  																																																																		| (103) $false
% 80.86/53.68  																																																																		|
% 80.86/53.68  																																																																		|-The branch is then unsatisfiable
% 80.86/53.68  																																																																	|-Branch two:
% 80.86/53.68  																																																																	| (84)  ~ (all_26_0_30 = 0)
% 80.86/53.68  																																																																	| (468) all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0))
% 80.86/53.68  																																																																	|
% 80.86/53.68  																																																																		+-Applying beta-rule and splitting (145), into two cases.
% 80.86/53.68  																																																																		|-Branch one:
% 80.86/53.68  																																																																		| (269) all_30_0_34 = 0
% 80.86/53.68  																																																																		|
% 80.86/53.68  																																																																			| Equations (269) can reduce 92 to:
% 80.86/53.68  																																																																			| (103) $false
% 80.86/53.68  																																																																			|
% 80.86/53.68  																																																																			|-The branch is then unsatisfiable
% 80.86/53.68  																																																																		|-Branch two:
% 80.86/53.68  																																																																		| (92)  ~ (all_30_0_34 = 0)
% 80.86/53.68  																																																																		| (472) all_26_0_30 = 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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_22_1_27) = v0))
% 80.86/53.68  																																																																		|
% 80.86/53.68  																																																																			+-Applying beta-rule and splitting (368), into two cases.
% 80.86/53.68  																																																																			|-Branch one:
% 80.86/53.68  																																																																			| (241) all_24_0_28 = 0
% 80.86/53.68  																																																																			|
% 80.86/53.68  																																																																				| Equations (241) can reduce 80 to:
% 80.86/53.68  																																																																				| (103) $false
% 80.86/53.68  																																																																				|
% 80.86/53.68  																																																																				|-The branch is then unsatisfiable
% 80.86/53.68  																																																																			|-Branch two:
% 80.86/53.68  																																																																			| (80)  ~ (all_24_0_28 = 0)
% 80.86/53.68  																																																																			| (476)  ? [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))
% 80.86/53.68  																																																																			|
% 80.86/53.68  																																																																				+-Applying beta-rule and splitting (372), into two cases.
% 80.86/53.68  																																																																				|-Branch one:
% 80.86/53.68  																																																																				| (241) all_24_0_28 = 0
% 80.86/53.68  																																																																				|
% 80.86/53.68  																																																																					| Equations (241) can reduce 80 to:
% 80.86/53.68  																																																																					| (103) $false
% 80.86/53.68  																																																																					|
% 80.86/53.68  																																																																					|-The branch is then unsatisfiable
% 80.86/53.68  																																																																				|-Branch two:
% 80.86/53.68  																																																																				| (80)  ~ (all_24_0_28 = 0)
% 80.86/53.68  																																																																				| (480)  ? [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))
% 80.86/53.68  																																																																				|
% 80.86/53.68  																																																																					+-Applying beta-rule and splitting (135), into two cases.
% 80.86/53.68  																																																																					|-Branch one:
% 80.86/53.68  																																																																					| (269) all_30_0_34 = 0
% 80.86/53.68  																																																																					|
% 80.86/53.68  																																																																						| Equations (269) can reduce 92 to:
% 80.86/53.68  																																																																						| (103) $false
% 80.86/53.68  																																																																						|
% 80.86/53.68  																																																																						|-The branch is then unsatisfiable
% 80.86/53.68  																																																																					|-Branch two:
% 80.86/53.68  																																																																					| (92)  ~ (all_30_0_34 = 0)
% 80.86/53.68  																																																																					| (248)  ? [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))
% 80.86/53.68  																																																																					|
% 80.86/53.68  																																																																						+-Applying beta-rule and splitting (136), into two cases.
% 80.86/53.68  																																																																						|-Branch one:
% 80.86/53.68  																																																																						| (269) all_30_0_34 = 0
% 80.86/53.68  																																																																						|
% 80.86/53.68  																																																																							| Equations (269) can reduce 92 to:
% 80.86/53.68  																																																																							| (103) $false
% 80.86/53.68  																																																																							|
% 80.86/53.68  																																																																							|-The branch is then unsatisfiable
% 80.86/53.68  																																																																						|-Branch two:
% 80.86/53.68  																																																																						| (92)  ~ (all_30_0_34 = 0)
% 80.86/53.68  																																																																						| (488)  ? [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) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0))
% 80.86/53.68  																																																																						|
% 80.86/53.68  																																																																							+-Applying beta-rule and splitting (147), into two cases.
% 80.86/53.68  																																																																							|-Branch one:
% 80.86/53.68  																																																																							| (269) all_30_0_34 = 0
% 80.86/53.68  																																																																							|
% 80.86/53.68  																																																																								| Equations (269) can reduce 92 to:
% 80.86/53.68  																																																																								| (103) $false
% 80.86/53.68  																																																																								|
% 80.86/53.68  																																																																								|-The branch is then unsatisfiable
% 80.86/53.68  																																																																							|-Branch two:
% 80.86/53.68  																																																																							| (92)  ~ (all_30_0_34 = 0)
% 80.86/53.68  																																																																							| (492) 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_3_3, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0))
% 80.86/53.68  																																																																							|
% 80.86/53.68  																																																																								+-Applying beta-rule and splitting (134), into two cases.
% 80.86/53.68  																																																																								|-Branch one:
% 80.86/53.68  																																																																								| (269) all_30_0_34 = 0
% 80.86/53.68  																																																																								|
% 80.86/53.68  																																																																									| Equations (269) can reduce 92 to:
% 80.86/53.68  																																																																									| (103) $false
% 80.86/53.68  																																																																									|
% 80.86/53.68  																																																																									|-The branch is then unsatisfiable
% 80.86/53.68  																																																																								|-Branch two:
% 80.86/53.68  																																																																								| (92)  ~ (all_30_0_34 = 0)
% 80.86/53.68  																																																																								| (496)  ? [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))
% 80.86/53.68  																																																																								|
% 80.86/53.68  																																																																									+-Applying beta-rule and splitting (137), into two cases.
% 80.86/53.68  																																																																									|-Branch one:
% 80.86/53.68  																																																																									| (237) all_26_0_30 = 0
% 80.86/53.68  																																																																									|
% 80.86/53.68  																																																																										| Equations (237) can reduce 84 to:
% 80.86/53.68  																																																																										| (103) $false
% 80.86/53.68  																																																																										|
% 80.86/53.68  																																																																										|-The branch is then unsatisfiable
% 80.86/53.68  																																																																									|-Branch two:
% 80.86/53.68  																																																																									| (84)  ~ (all_26_0_30 = 0)
% 80.86/53.68  																																																																									| (500) all_0_1_1 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 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_22_1_27) = v0))
% 80.86/53.68  																																																																									|
% 80.86/53.68  																																																																										+-Applying beta-rule and splitting (131), into two cases.
% 80.86/53.68  																																																																										|-Branch one:
% 80.86/53.68  																																																																										| (269) all_30_0_34 = 0
% 80.86/53.68  																																																																										|
% 80.86/53.68  																																																																											| Equations (269) can reduce 92 to:
% 80.86/53.68  																																																																											| (103) $false
% 80.86/53.68  																																																																											|
% 80.86/53.68  																																																																											|-The branch is then unsatisfiable
% 80.86/53.68  																																																																										|-Branch two:
% 80.86/53.68  																																																																										| (92)  ~ (all_30_0_34 = 0)
% 80.86/53.68  																																																																										| (504) all_0_1_1 = 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))
% 80.86/53.68  																																																																										|
% 80.86/53.68  																																																																											+-Applying beta-rule and splitting (132), into two cases.
% 80.86/53.68  																																																																											|-Branch one:
% 80.86/53.68  																																																																											| (269) all_30_0_34 = 0
% 80.86/53.68  																																																																											|
% 80.86/53.68  																																																																												| Equations (269) can reduce 92 to:
% 80.86/53.68  																																																																												| (103) $false
% 80.86/53.68  																																																																												|
% 80.86/53.68  																																																																												|-The branch is then unsatisfiable
% 80.86/53.68  																																																																											|-Branch two:
% 80.86/53.68  																																																																											| (92)  ~ (all_30_0_34 = 0)
% 80.86/53.68  																																																																											| (508) all_0_1_1 = 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))
% 80.86/53.68  																																																																											|
% 80.86/53.68  																																																																												+-Applying beta-rule and splitting (436), into two cases.
% 80.86/53.68  																																																																												|-Branch one:
% 80.86/53.68  																																																																												| (237) all_26_0_30 = 0
% 80.86/53.68  																																																																												|
% 80.86/53.68  																																																																													| Equations (237) can reduce 84 to:
% 80.86/53.68  																																																																													| (103) $false
% 80.86/53.68  																																																																													|
% 80.86/53.68  																																																																													|-The branch is then unsatisfiable
% 80.86/53.68  																																																																												|-Branch two:
% 80.86/53.68  																																																																												| (84)  ~ (all_26_0_30 = 0)
% 80.86/53.68  																																																																												| (512)  ? [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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0))
% 80.86/53.68  																																																																												|
% 80.86/53.68  																																																																													+-Applying beta-rule and splitting (448), into two cases.
% 80.86/53.68  																																																																													|-Branch one:
% 80.86/53.68  																																																																													| (237) all_26_0_30 = 0
% 80.86/53.68  																																																																													|
% 80.86/53.68  																																																																														| Equations (237) can reduce 84 to:
% 80.86/53.68  																																																																														| (103) $false
% 80.86/53.68  																																																																														|
% 80.86/53.68  																																																																														|-The branch is then unsatisfiable
% 80.86/53.68  																																																																													|-Branch two:
% 80.86/53.68  																																																																													| (84)  ~ (all_26_0_30 = 0)
% 80.86/53.68  																																																																													| (516)  ? [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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_22_1_27) = v0))
% 80.86/53.68  																																																																													|
% 80.86/53.68  																																																																														+-Applying beta-rule and splitting (452), into two cases.
% 80.86/53.68  																																																																														|-Branch one:
% 80.86/53.68  																																																																														| (237) all_26_0_30 = 0
% 80.86/53.68  																																																																														|
% 80.86/53.68  																																																																															| Equations (237) can reduce 84 to:
% 80.86/53.68  																																																																															| (103) $false
% 80.86/53.68  																																																																															|
% 80.86/53.68  																																																																															|-The branch is then unsatisfiable
% 80.86/53.68  																																																																														|-Branch two:
% 80.86/53.68  																																																																														| (84)  ~ (all_26_0_30 = 0)
% 80.86/53.68  																																																																														| (520)  ? [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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_24_1_29) = v0))
% 80.86/53.68  																																																																														|
% 80.86/53.68  																																																																															+-Applying beta-rule and splitting (225), into two cases.
% 80.86/53.68  																																																																															|-Branch one:
% 80.86/53.68  																																																																															| (521) (all_81_0_44 = 0 & apart_point_and_line(all_0_4_4, all_0_0_0) = 0) | (all_81_0_44 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | (all_81_0_44 = 0 & apart_point_and_line(all_0_5_5, all_0_0_0) = 0)
% 80.86/53.68  																																																																															|
% 80.86/53.68  																																																																																+-Applying beta-rule and splitting (521), into two cases.
% 80.86/53.68  																																																																																|-Branch one:
% 80.86/53.68  																																																																																| (522) (all_81_0_44 = 0 & apart_point_and_line(all_0_4_4, all_0_0_0) = 0) | (all_81_0_44 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0)
% 80.86/53.69  																																																																																|
% 80.86/53.69  																																																																																	+-Applying beta-rule and splitting (522), into two cases.
% 80.86/53.69  																																																																																	|-Branch one:
% 80.86/53.69  																																																																																	| (523) all_81_0_44 = 0 & apart_point_and_line(all_0_4_4, all_0_0_0) = 0
% 80.86/53.69  																																																																																	|
% 80.86/53.69  																																																																																		| Applying alpha-rule on (523) yields:
% 80.86/53.69  																																																																																		| (524) all_81_0_44 = 0
% 80.86/53.69  																																																																																		| (525) apart_point_and_line(all_0_4_4, all_0_0_0) = 0
% 80.86/53.69  																																																																																		|
% 80.86/53.69  																																																																																		| Instantiating formula (42) with all_0_4_4, all_0_0_0, 0, all_33_0_37 and discharging atoms apart_point_and_line(all_0_4_4, all_0_0_0) = all_33_0_37, apart_point_and_line(all_0_4_4, all_0_0_0) = 0, yields:
% 80.86/53.69  																																																																																		| (526) all_33_0_37 = 0
% 80.86/53.69  																																																																																		|
% 80.86/53.69  																																																																																		| Equations (526) can reduce 227 to:
% 80.86/53.69  																																																																																		| (103) $false
% 80.86/53.69  																																																																																		|
% 80.86/53.69  																																																																																		|-The branch is then unsatisfiable
% 80.86/53.69  																																																																																	|-Branch two:
% 80.86/53.69  																																																																																	| (528) all_81_0_44 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0
% 80.86/53.69  																																																																																	|
% 80.86/53.69  																																																																																		| Applying alpha-rule on (528) yields:
% 80.86/53.69  																																																																																		| (524) all_81_0_44 = 0
% 80.86/53.69  																																																																																		| (530) apart_point_and_line(all_0_4_4, all_0_2_2) = 0
% 80.86/53.69  																																																																																		|
% 80.86/53.69  																																																																																		+-Applying beta-rule and splitting (193), into two cases.
% 80.86/53.69  																																																																																		|-Branch one:
% 80.86/53.69  																																																																																		| (229) all_28_0_32 = 0
% 80.86/53.69  																																																																																		|
% 80.86/53.69  																																																																																			| Equations (229) can reduce 88 to:
% 80.86/53.69  																																																																																			| (103) $false
% 80.86/53.69  																																																																																			|
% 80.86/53.69  																																																																																			|-The branch is then unsatisfiable
% 80.86/53.69  																																																																																		|-Branch two:
% 80.86/53.69  																																																																																		| (88)  ~ (all_28_0_32 = 0)
% 80.86/53.69  																																																																																		| (534) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 80.86/53.69  																																																																																		|
% 80.86/53.69  																																																																																			+-Applying beta-rule and splitting (196), into two cases.
% 80.86/53.69  																																																																																			|-Branch one:
% 80.86/53.69  																																																																																			| (229) all_28_0_32 = 0
% 80.86/53.69  																																																																																			|
% 80.86/53.69  																																																																																				| Equations (229) can reduce 88 to:
% 80.86/53.69  																																																																																				| (103) $false
% 80.86/53.69  																																																																																				|
% 80.86/53.69  																																																																																				|-The branch is then unsatisfiable
% 80.86/53.69  																																																																																			|-Branch two:
% 80.86/53.69  																																																																																			| (88)  ~ (all_28_0_32 = 0)
% 80.86/53.69  																																																																																			| (538) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 80.86/53.69  																																																																																			|
% 80.86/53.69  																																																																																				+-Applying beta-rule and splitting (222), into two cases.
% 80.86/53.69  																																																																																				|-Branch one:
% 80.86/53.69  																																																																																				| (229) all_28_0_32 = 0
% 80.86/53.69  																																																																																				|
% 80.86/53.69  																																																																																					| Equations (229) can reduce 88 to:
% 80.86/53.69  																																																																																					| (103) $false
% 80.86/53.69  																																																																																					|
% 80.98/53.69  																																																																																					|-The branch is then unsatisfiable
% 80.98/53.69  																																																																																				|-Branch two:
% 80.98/53.69  																																																																																				| (88)  ~ (all_28_0_32 = 0)
% 80.98/53.69  																																																																																				| (542) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_0_0) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_0_0) = 0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 80.98/53.69  																																																																																				|
% 80.98/53.69  																																																																																					+-Applying beta-rule and splitting (194), into two cases.
% 80.98/53.69  																																																																																					|-Branch one:
% 80.98/53.69  																																																																																					| (229) all_28_0_32 = 0
% 80.98/53.69  																																																																																					|
% 80.98/53.69  																																																																																						| Equations (229) can reduce 88 to:
% 80.98/53.69  																																																																																						| (103) $false
% 80.98/53.69  																																																																																						|
% 80.98/53.69  																																																																																						|-The branch is then unsatisfiable
% 80.98/53.69  																																																																																					|-Branch two:
% 80.98/53.69  																																																																																					| (88)  ~ (all_28_0_32 = 0)
% 80.98/53.69  																																																																																					| (546) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 80.98/53.69  																																																																																					|
% 80.98/53.69  																																																																																						+-Applying beta-rule and splitting (195), into two cases.
% 80.98/53.69  																																																																																						|-Branch one:
% 80.98/53.69  																																																																																						| (229) all_28_0_32 = 0
% 80.98/53.69  																																																																																						|
% 80.98/53.69  																																																																																							| Equations (229) can reduce 88 to:
% 80.98/53.69  																																																																																							| (103) $false
% 80.98/53.69  																																																																																							|
% 80.98/53.69  																																																																																							|-The branch is then unsatisfiable
% 80.98/53.69  																																																																																						|-Branch two:
% 80.98/53.69  																																																																																						| (88)  ~ (all_28_0_32 = 0)
% 80.98/53.69  																																																																																						| (550) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 80.98/53.69  																																																																																						|
% 80.98/53.69  																																																																																							+-Applying beta-rule and splitting (276), into two cases.
% 80.98/53.69  																																																																																							|-Branch one:
% 80.98/53.69  																																																																																							| (229) all_28_0_32 = 0
% 80.98/53.69  																																																																																							|
% 80.98/53.69  																																																																																								| Equations (229) can reduce 88 to:
% 80.98/53.69  																																																																																								| (103) $false
% 80.98/53.69  																																																																																								|
% 80.98/53.69  																																																																																								|-The branch is then unsatisfiable
% 80.98/53.69  																																																																																							|-Branch two:
% 80.98/53.69  																																																																																							| (88)  ~ (all_28_0_32 = 0)
% 80.98/53.69  																																																																																							| (554)  ? [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_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.98/53.69  																																																																																							|
% 80.98/53.69  																																																																																								+-Applying beta-rule and splitting (211), into two cases.
% 80.98/53.69  																																																																																								|-Branch one:
% 80.98/53.69  																																																																																								| (229) all_28_0_32 = 0
% 80.98/53.69  																																																																																								|
% 80.98/53.69  																																																																																									| Equations (229) can reduce 88 to:
% 80.98/53.69  																																																																																									| (103) $false
% 80.98/53.69  																																																																																									|
% 80.98/53.69  																																																																																									|-The branch is then unsatisfiable
% 80.98/53.69  																																																																																								|-Branch two:
% 80.98/53.69  																																																																																								| (88)  ~ (all_28_0_32 = 0)
% 80.98/53.69  																																																																																								| (558) 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))
% 80.98/53.69  																																																																																								|
% 80.98/53.69  																																																																																									+-Applying beta-rule and splitting (272), into two cases.
% 80.98/53.69  																																																																																									|-Branch one:
% 80.98/53.69  																																																																																									| (229) all_28_0_32 = 0
% 80.98/53.69  																																																																																									|
% 80.98/53.69  																																																																																										| Equations (229) can reduce 88 to:
% 80.98/53.69  																																																																																										| (103) $false
% 80.98/53.69  																																																																																										|
% 80.98/53.69  																																																																																										|-The branch is then unsatisfiable
% 80.98/53.69  																																																																																									|-Branch two:
% 80.98/53.69  																																																																																									| (88)  ~ (all_28_0_32 = 0)
% 80.98/53.69  																																																																																									| (562)  ? [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_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.98/53.69  																																																																																									|
% 80.98/53.69  																																																																																										+-Applying beta-rule and splitting (292), into two cases.
% 80.98/53.69  																																																																																										|-Branch one:
% 80.98/53.69  																																																																																										| (229) all_28_0_32 = 0
% 80.98/53.69  																																																																																										|
% 80.98/53.69  																																																																																											| Equations (229) can reduce 88 to:
% 80.98/53.69  																																																																																											| (103) $false
% 80.98/53.69  																																																																																											|
% 80.98/53.69  																																																																																											|-The branch is then unsatisfiable
% 80.98/53.69  																																																																																										|-Branch two:
% 80.98/53.69  																																																																																										| (88)  ~ (all_28_0_32 = 0)
% 80.98/53.69  																																																																																										| (566)  ? [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_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_3_3) = v0))
% 80.98/53.69  																																																																																										|
% 80.98/53.69  																																																																																											| Instantiating formula (42) with all_0_4_4, all_0_2_2, 0, all_28_0_32 and discharging atoms apart_point_and_line(all_0_4_4, all_0_2_2) = all_28_0_32, apart_point_and_line(all_0_4_4, all_0_2_2) = 0, yields:
% 80.98/53.69  																																																																																											| (229) all_28_0_32 = 0
% 80.98/53.69  																																																																																											|
% 80.98/53.69  																																																																																											| Equations (229) can reduce 88 to:
% 80.98/53.69  																																																																																											| (103) $false
% 80.98/53.69  																																																																																											|
% 80.98/53.69  																																																																																											|-The branch is then unsatisfiable
% 80.98/53.69  																																																																																|-Branch two:
% 80.98/53.69  																																																																																| (569) all_81_0_44 = 0 & apart_point_and_line(all_0_5_5, all_0_0_0) = 0
% 80.98/53.69  																																																																																|
% 80.98/53.69  																																																																																	| Applying alpha-rule on (569) yields:
% 80.98/53.69  																																																																																	| (524) all_81_0_44 = 0
% 80.98/53.69  																																																																																	| (571) apart_point_and_line(all_0_5_5, all_0_0_0) = 0
% 80.98/53.69  																																																																																	|
% 80.98/53.69  																																																																																	+-Applying beta-rule and splitting (97), into two cases.
% 80.98/53.69  																																																																																	|-Branch one:
% 80.98/53.69  																																																																																	| (572)  ~ (all_34_0_38 = 0) & apart_point_and_line(all_0_5_5, all_0_0_0) = all_34_0_38
% 80.98/53.69  																																																																																	|
% 80.98/53.69  																																																																																		| Applying alpha-rule on (572) yields:
% 80.98/53.69  																																																																																		| (573)  ~ (all_34_0_38 = 0)
% 80.98/53.69  																																																																																		| (574) apart_point_and_line(all_0_5_5, all_0_0_0) = all_34_0_38
% 80.98/53.69  																																																																																		|
% 80.98/53.69  																																																																																		| Instantiating formula (42) with all_0_5_5, all_0_0_0, 0, all_34_0_38 and discharging atoms apart_point_and_line(all_0_5_5, all_0_0_0) = all_34_0_38, apart_point_and_line(all_0_5_5, all_0_0_0) = 0, yields:
% 80.98/53.69  																																																																																		| (575) all_34_0_38 = 0
% 80.98/53.69  																																																																																		|
% 80.98/53.69  																																																																																		| Equations (575) can reduce 573 to:
% 80.98/53.69  																																																																																		| (103) $false
% 80.98/53.69  																																																																																		|
% 80.98/53.69  																																																																																		|-The branch is then unsatisfiable
% 80.98/53.69  																																																																																	|-Branch two:
% 80.98/53.69  																																																																																	| (577)  ~ (all_34_0_38 = 0) & distinct_points(all_0_4_4, all_0_5_5) = all_34_0_38
% 80.98/53.69  																																																																																	|
% 80.98/53.69  																																																																																		| Applying alpha-rule on (577) yields:
% 80.98/53.69  																																																																																		| (573)  ~ (all_34_0_38 = 0)
% 80.98/53.69  																																																																																		| (579) distinct_points(all_0_4_4, all_0_5_5) = all_34_0_38
% 80.98/53.69  																																																																																		|
% 80.98/53.69  																																																																																		| Instantiating formula (38) with all_34_0_38, all_0_5_5, all_0_4_4, all_0_5_5 and discharging atoms distinct_points(all_0_4_4, all_0_5_5) = all_34_0_38, distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 80.98/53.69  																																																																																		| (580) all_34_0_38 = 0 | distinct_points(all_0_5_5, all_0_5_5) = 0
% 80.98/53.69  																																																																																		|
% 80.98/53.69  																																																																																		+-Applying beta-rule and splitting (580), into two cases.
% 80.98/53.69  																																																																																		|-Branch one:
% 80.98/53.69  																																																																																		| (581) distinct_points(all_0_5_5, all_0_5_5) = 0
% 80.98/53.69  																																																																																		|
% 80.98/53.69  																																																																																			| Instantiating formula (3) with all_0_5_5 and discharging atoms distinct_points(all_0_5_5, all_0_5_5) = 0, yields:
% 80.98/53.69  																																																																																			| (582) $false
% 80.98/53.69  																																																																																			|
% 80.98/53.69  																																																																																			|-The branch is then unsatisfiable
% 80.98/53.69  																																																																																		|-Branch two:
% 80.98/53.69  																																																																																		| (583)  ~ (distinct_points(all_0_5_5, all_0_5_5) = 0)
% 80.98/53.69  																																																																																		| (575) all_34_0_38 = 0
% 80.98/53.69  																																																																																		|
% 80.98/53.69  																																																																																			| Equations (575) can reduce 573 to:
% 80.98/53.69  																																																																																			| (103) $false
% 80.98/53.69  																																																																																			|
% 80.98/53.69  																																																																																			|-The branch is then unsatisfiable
% 80.98/53.69  																																																																															|-Branch two:
% 80.98/53.69  																																																																															| (586) all_81_0_44 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0
% 80.98/53.69  																																																																															|
% 80.98/53.70  																																																																																| Applying alpha-rule on (586) yields:
% 80.98/53.70  																																																																																| (524) all_81_0_44 = 0
% 80.98/53.70  																																																																																| (588) apart_point_and_line(all_0_5_5, all_0_2_2) = 0
% 80.98/53.70  																																																																																|
% 80.98/53.70  																																																																																+-Applying beta-rule and splitting (197), into two cases.
% 80.98/53.70  																																																																																|-Branch one:
% 80.98/53.70  																																																																																| (293) all_22_0_26 = 0
% 80.98/53.70  																																																																																|
% 80.98/53.70  																																																																																	| Equations (293) can reduce 76 to:
% 80.98/53.70  																																																																																	| (103) $false
% 80.98/53.70  																																																																																	|
% 80.98/53.70  																																																																																	|-The branch is then unsatisfiable
% 80.98/53.70  																																																																																|-Branch two:
% 80.98/53.70  																																																																																| (76)  ~ (all_22_0_26 = 0)
% 80.98/53.70  																																																																																| (432)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_22_1_27) = v0))
% 80.98/53.70  																																																																																|
% 80.98/53.70  																																																																																	+-Applying beta-rule and splitting (198), into two cases.
% 80.98/53.70  																																																																																	|-Branch one:
% 80.98/53.70  																																																																																	| (293) all_22_0_26 = 0
% 80.98/53.70  																																																																																	|
% 80.98/53.70  																																																																																		| Equations (293) can reduce 76 to:
% 80.98/53.70  																																																																																		| (103) $false
% 80.98/53.70  																																																																																		|
% 80.98/53.70  																																																																																		|-The branch is then unsatisfiable
% 80.98/53.70  																																																																																	|-Branch two:
% 80.98/53.70  																																																																																	| (76)  ~ (all_22_0_26 = 0)
% 80.98/53.70  																																																																																	| (596)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 80.98/53.70  																																																																																	|
% 80.98/53.70  																																																																																		+-Applying beta-rule and splitting (133), into two cases.
% 80.98/53.70  																																																																																		|-Branch one:
% 80.98/53.70  																																																																																		| (269) all_30_0_34 = 0
% 80.98/53.70  																																																																																		|
% 80.98/53.70  																																																																																			| Equations (269) can reduce 92 to:
% 80.98/53.70  																																																																																			| (103) $false
% 80.98/53.70  																																																																																			|
% 80.98/53.70  																																																																																			|-The branch is then unsatisfiable
% 80.98/53.70  																																																																																		|-Branch two:
% 80.98/53.70  																																																																																		| (92)  ~ (all_30_0_34 = 0)
% 80.98/53.70  																																																																																		| (600) all_0_1_1 = 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) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0))
% 80.98/53.70  																																																																																		|
% 80.98/53.70  																																																																																			+-Applying beta-rule and splitting (192), into two cases.
% 80.98/53.70  																																																																																			|-Branch one:
% 80.98/53.70  																																																																																			| (241) all_24_0_28 = 0
% 80.98/53.70  																																																																																			|
% 80.98/53.70  																																																																																				| Equations (241) can reduce 80 to:
% 80.98/53.70  																																																																																				| (103) $false
% 80.98/53.70  																																																																																				|
% 80.98/53.70  																																																																																				|-The branch is then unsatisfiable
% 80.98/53.70  																																																																																			|-Branch two:
% 80.98/53.70  																																																																																			| (80)  ~ (all_24_0_28 = 0)
% 80.98/53.70  																																																																																			| (604) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 80.98/53.70  																																																																																			|
% 80.98/53.70  																																																																																				+-Applying beta-rule and splitting (193), into two cases.
% 80.98/53.70  																																																																																				|-Branch one:
% 80.98/53.70  																																																																																				| (229) all_28_0_32 = 0
% 80.98/53.70  																																																																																				|
% 80.98/53.70  																																																																																					| Equations (229) can reduce 88 to:
% 80.98/53.70  																																																																																					| (103) $false
% 80.98/53.70  																																																																																					|
% 80.98/53.70  																																																																																					|-The branch is then unsatisfiable
% 80.98/53.70  																																																																																				|-Branch two:
% 80.98/53.70  																																																																																				| (88)  ~ (all_28_0_32 = 0)
% 80.98/53.70  																																																																																				| (534) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 80.98/53.70  																																																																																				|
% 80.98/53.70  																																																																																					+-Applying beta-rule and splitting (196), into two cases.
% 80.98/53.70  																																																																																					|-Branch one:
% 80.98/53.70  																																																																																					| (229) all_28_0_32 = 0
% 80.98/53.70  																																																																																					|
% 80.98/53.70  																																																																																						| Equations (229) can reduce 88 to:
% 80.98/53.70  																																																																																						| (103) $false
% 80.98/53.70  																																																																																						|
% 80.98/53.70  																																																																																						|-The branch is then unsatisfiable
% 80.98/53.70  																																																																																					|-Branch two:
% 80.98/53.70  																																																																																					| (88)  ~ (all_28_0_32 = 0)
% 80.98/53.70  																																																																																					| (538) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 80.98/53.70  																																																																																					|
% 80.98/53.70  																																																																																						+-Applying beta-rule and splitting (222), into two cases.
% 80.98/53.70  																																																																																						|-Branch one:
% 80.98/53.70  																																																																																						| (229) all_28_0_32 = 0
% 80.98/53.70  																																																																																						|
% 80.98/53.70  																																																																																							| Equations (229) can reduce 88 to:
% 80.98/53.70  																																																																																							| (103) $false
% 80.98/53.70  																																																																																							|
% 80.98/53.70  																																																																																							|-The branch is then unsatisfiable
% 80.98/53.70  																																																																																						|-Branch two:
% 80.98/53.70  																																																																																						| (88)  ~ (all_28_0_32 = 0)
% 80.98/53.70  																																																																																						| (542) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_0_0) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_0_0) = 0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 80.98/53.70  																																																																																						|
% 80.98/53.70  																																																																																							+-Applying beta-rule and splitting (194), into two cases.
% 80.98/53.70  																																																																																							|-Branch one:
% 80.98/53.70  																																																																																							| (229) all_28_0_32 = 0
% 80.98/53.70  																																																																																							|
% 80.98/53.70  																																																																																								| Equations (229) can reduce 88 to:
% 80.98/53.70  																																																																																								| (103) $false
% 80.98/53.70  																																																																																								|
% 80.98/53.70  																																																																																								|-The branch is then unsatisfiable
% 80.98/53.70  																																																																																							|-Branch two:
% 80.98/53.70  																																																																																							| (88)  ~ (all_28_0_32 = 0)
% 80.98/53.70  																																																																																							| (546) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 80.98/53.70  																																																																																							|
% 80.98/53.70  																																																																																								+-Applying beta-rule and splitting (195), into two cases.
% 80.98/53.70  																																																																																								|-Branch one:
% 80.98/53.70  																																																																																								| (229) all_28_0_32 = 0
% 80.98/53.70  																																																																																								|
% 80.98/53.70  																																																																																									| Equations (229) can reduce 88 to:
% 80.98/53.70  																																																																																									| (103) $false
% 80.98/53.70  																																																																																									|
% 80.98/53.70  																																																																																									|-The branch is then unsatisfiable
% 80.98/53.70  																																																																																								|-Branch two:
% 80.98/53.70  																																																																																								| (88)  ~ (all_28_0_32 = 0)
% 80.98/53.70  																																																																																								| (550) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 80.98/53.70  																																																																																								|
% 80.98/53.70  																																																																																									+-Applying beta-rule and splitting (189), into two cases.
% 80.98/53.70  																																																																																									|-Branch one:
% 80.98/53.70  																																																																																									| (241) all_24_0_28 = 0
% 80.98/53.70  																																																																																									|
% 80.98/53.70  																																																																																										| Equations (241) can reduce 80 to:
% 80.98/53.70  																																																																																										| (103) $false
% 80.98/53.70  																																																																																										|
% 80.98/53.70  																																																																																										|-The branch is then unsatisfiable
% 80.98/53.70  																																																																																									|-Branch two:
% 80.98/53.70  																																																																																									| (80)  ~ (all_24_0_28 = 0)
% 80.98/53.70  																																																																																									| (628) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 80.98/53.70  																																																																																									|
% 80.98/53.70  																																																																																										+-Applying beta-rule and splitting (185), into two cases.
% 80.98/53.70  																																																																																										|-Branch one:
% 80.98/53.70  																																																																																										| (269) all_30_0_34 = 0
% 80.98/53.70  																																																																																										|
% 80.98/53.70  																																																																																											| Equations (269) can reduce 92 to:
% 80.98/53.70  																																																																																											| (103) $false
% 80.98/53.70  																																																																																											|
% 80.98/53.70  																																																																																											|-The branch is then unsatisfiable
% 80.98/53.70  																																																																																										|-Branch two:
% 80.98/53.70  																																																																																										| (92)  ~ (all_30_0_34 = 0)
% 80.98/53.70  																																																																																										| (632) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0))
% 80.98/53.70  																																																																																										|
% 80.98/53.70  																																																																																											+-Applying beta-rule and splitting (186), into two cases.
% 80.98/53.70  																																																																																											|-Branch one:
% 80.98/53.70  																																																																																											| (269) all_30_0_34 = 0
% 80.98/53.70  																																																																																											|
% 80.98/53.70  																																																																																												| Equations (269) can reduce 92 to:
% 80.98/53.70  																																																																																												| (103) $false
% 80.98/53.70  																																																																																												|
% 80.98/53.70  																																																																																												|-The branch is then unsatisfiable
% 80.98/53.70  																																																																																											|-Branch two:
% 80.98/53.70  																																																																																											| (92)  ~ (all_30_0_34 = 0)
% 80.98/53.70  																																																																																											| (636) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.98/53.70  																																																																																											|
% 80.98/53.70  																																																																																												+-Applying beta-rule and splitting (187), into two cases.
% 80.98/53.70  																																																																																												|-Branch one:
% 80.98/53.70  																																																																																												| (269) all_30_0_34 = 0
% 80.98/53.70  																																																																																												|
% 80.98/53.70  																																																																																													| Equations (269) can reduce 92 to:
% 80.98/53.70  																																																																																													| (103) $false
% 80.98/53.70  																																																																																													|
% 80.98/53.70  																																																																																													|-The branch is then unsatisfiable
% 80.98/53.70  																																																																																												|-Branch two:
% 80.98/53.70  																																																																																												| (92)  ~ (all_30_0_34 = 0)
% 80.98/53.70  																																																																																												| (640) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0))
% 80.98/53.70  																																																																																												|
% 80.98/53.70  																																																																																													+-Applying beta-rule and splitting (188), into two cases.
% 80.98/53.70  																																																																																													|-Branch one:
% 80.98/53.70  																																																																																													| (237) all_26_0_30 = 0
% 80.98/53.70  																																																																																													|
% 80.98/53.70  																																																																																														| Equations (237) can reduce 84 to:
% 80.98/53.70  																																																																																														| (103) $false
% 80.98/53.70  																																																																																														|
% 80.98/53.70  																																																																																														|-The branch is then unsatisfiable
% 80.98/53.70  																																																																																													|-Branch two:
% 80.98/53.70  																																																																																													| (84)  ~ (all_26_0_30 = 0)
% 80.98/53.70  																																																																																													| (644) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.98/53.70  																																																																																													|
% 80.98/53.70  																																																																																														+-Applying beta-rule and splitting (190), into two cases.
% 80.98/53.70  																																																																																														|-Branch one:
% 80.98/53.70  																																																																																														| (241) all_24_0_28 = 0
% 80.98/53.70  																																																																																														|
% 80.98/53.70  																																																																																															| Equations (241) can reduce 80 to:
% 80.98/53.70  																																																																																															| (103) $false
% 80.98/53.70  																																																																																															|
% 80.98/53.70  																																																																																															|-The branch is then unsatisfiable
% 80.98/53.70  																																																																																														|-Branch two:
% 80.98/53.70  																																																																																														| (80)  ~ (all_24_0_28 = 0)
% 80.98/53.70  																																																																																														| (648) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_4_4) = v0))
% 80.98/53.70  																																																																																														|
% 80.98/53.70  																																																																																															+-Applying beta-rule and splitting (191), into two cases.
% 80.98/53.70  																																																																																															|-Branch one:
% 80.98/53.70  																																																																																															| (241) all_24_0_28 = 0
% 80.98/53.70  																																																																																															|
% 80.98/53.70  																																																																																																| Equations (241) can reduce 80 to:
% 80.98/53.70  																																																																																																| (103) $false
% 80.98/53.70  																																																																																																|
% 80.98/53.70  																																																																																																|-The branch is then unsatisfiable
% 80.98/53.70  																																																																																															|-Branch two:
% 80.98/53.70  																																																																																															| (80)  ~ (all_24_0_28 = 0)
% 80.98/53.70  																																																																																															| (652) all_22_0_26 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 80.98/53.70  																																																																																															|
% 80.98/53.70  																																																																																																+-Applying beta-rule and splitting (276), into two cases.
% 80.98/53.70  																																																																																																|-Branch one:
% 80.98/53.70  																																																																																																| (229) all_28_0_32 = 0
% 80.98/53.70  																																																																																																|
% 80.98/53.70  																																																																																																	| Equations (229) can reduce 88 to:
% 80.98/53.70  																																																																																																	| (103) $false
% 80.98/53.70  																																																																																																	|
% 80.98/53.70  																																																																																																	|-The branch is then unsatisfiable
% 80.98/53.70  																																																																																																|-Branch two:
% 80.98/53.70  																																																																																																| (88)  ~ (all_28_0_32 = 0)
% 80.98/53.70  																																																																																																| (554)  ? [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_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.98/53.70  																																																																																																|
% 80.98/53.70  																																																																																																	+-Applying beta-rule and splitting (304), into two cases.
% 80.98/53.70  																																																																																																	|-Branch one:
% 80.98/53.70  																																																																																																	| (233) all_20_0_24 = 0
% 80.98/53.70  																																																																																																	|
% 80.98/53.70  																																																																																																		| Equations (233) can reduce 72 to:
% 80.98/53.70  																																																																																																		| (103) $false
% 80.98/53.70  																																																																																																		|
% 80.98/53.70  																																																																																																		|-The branch is then unsatisfiable
% 80.98/53.70  																																																																																																	|-Branch two:
% 80.98/53.70  																																																																																																	| (72)  ~ (all_20_0_24 = 0)
% 80.98/53.70  																																																																																																	| (660)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 80.98/53.70  																																																																																																	|
% 80.98/53.70  																																																																																																		+-Applying beta-rule and splitting (312), into two cases.
% 80.98/53.70  																																																																																																		|-Branch one:
% 80.98/53.70  																																																																																																		| (233) all_20_0_24 = 0
% 80.98/53.70  																																																																																																		|
% 80.98/53.70  																																																																																																			| Equations (233) can reduce 72 to:
% 80.98/53.70  																																																																																																			| (103) $false
% 80.98/53.70  																																																																																																			|
% 80.98/53.70  																																																																																																			|-The branch is then unsatisfiable
% 80.98/53.70  																																																																																																		|-Branch two:
% 80.98/53.70  																																																																																																		| (72)  ~ (all_20_0_24 = 0)
% 80.98/53.70  																																																																																																		| (664)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0))
% 80.98/53.71  																																																																																																		|
% 80.98/53.71  																																																																																																			+-Applying beta-rule and splitting (316), into two cases.
% 80.98/53.71  																																																																																																			|-Branch one:
% 80.98/53.71  																																																																																																			| (233) all_20_0_24 = 0
% 80.98/53.71  																																																																																																			|
% 80.98/53.71  																																																																																																				| Equations (233) can reduce 72 to:
% 80.98/53.71  																																																																																																				| (103) $false
% 80.98/53.71  																																																																																																				|
% 80.98/53.71  																																																																																																				|-The branch is then unsatisfiable
% 80.98/53.71  																																																																																																			|-Branch two:
% 80.98/53.71  																																																																																																			| (72)  ~ (all_20_0_24 = 0)
% 80.98/53.71  																																																																																																			| (668)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 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_22_1_27) = v0))
% 80.98/53.71  																																																																																																			|
% 80.98/53.71  																																																																																																				+-Applying beta-rule and splitting (320), into two cases.
% 80.98/53.71  																																																																																																				|-Branch one:
% 80.98/53.71  																																																																																																				| (233) all_20_0_24 = 0
% 80.98/53.71  																																																																																																				|
% 80.98/53.71  																																																																																																					| Equations (233) can reduce 72 to:
% 80.98/53.71  																																																																																																					| (103) $false
% 80.98/53.71  																																																																																																					|
% 80.98/53.71  																																																																																																					|-The branch is then unsatisfiable
% 80.98/53.71  																																																																																																				|-Branch two:
% 80.98/53.71  																																																																																																				| (72)  ~ (all_20_0_24 = 0)
% 80.98/53.71  																																																																																																				| (672)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 80.98/53.71  																																																																																																				|
% 80.98/53.71  																																																																																																					+-Applying beta-rule and splitting (328), into two cases.
% 80.98/53.71  																																																																																																					|-Branch one:
% 80.98/53.71  																																																																																																					| (237) all_26_0_30 = 0
% 80.98/53.71  																																																																																																					|
% 80.98/53.71  																																																																																																						| Equations (237) can reduce 84 to:
% 80.98/53.71  																																																																																																						| (103) $false
% 80.98/53.71  																																																																																																						|
% 80.98/53.71  																																																																																																						|-The branch is then unsatisfiable
% 80.98/53.71  																																																																																																					|-Branch two:
% 80.98/53.71  																																																																																																					| (84)  ~ (all_26_0_30 = 0)
% 80.98/53.71  																																																																																																					| (676)  ? [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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.98/53.71  																																																																																																					|
% 80.98/53.71  																																																																																																						+-Applying beta-rule and splitting (332), into two cases.
% 80.98/53.71  																																																																																																						|-Branch one:
% 80.98/53.71  																																																																																																						| (237) all_26_0_30 = 0
% 80.98/53.71  																																																																																																						|
% 80.98/53.71  																																																																																																							| Equations (237) can reduce 84 to:
% 80.98/53.71  																																																																																																							| (103) $false
% 80.98/53.71  																																																																																																							|
% 80.98/53.71  																																																																																																							|-The branch is then unsatisfiable
% 80.98/53.71  																																																																																																						|-Branch two:
% 80.98/53.71  																																																																																																						| (84)  ~ (all_26_0_30 = 0)
% 80.98/53.71  																																																																																																						| (680)  ? [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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0))
% 80.98/53.71  																																																																																																						|
% 80.98/53.71  																																																																																																							+-Applying beta-rule and splitting (336), into two cases.
% 80.98/53.71  																																																																																																							|-Branch one:
% 80.98/53.71  																																																																																																							| (237) all_26_0_30 = 0
% 80.98/53.71  																																																																																																							|
% 80.98/53.71  																																																																																																								| Equations (237) can reduce 84 to:
% 80.98/53.71  																																																																																																								| (103) $false
% 80.98/53.71  																																																																																																								|
% 80.98/53.71  																																																																																																								|-The branch is then unsatisfiable
% 80.98/53.71  																																																																																																							|-Branch two:
% 80.98/53.71  																																																																																																							| (84)  ~ (all_26_0_30 = 0)
% 80.98/53.71  																																																																																																							| (684)  ? [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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_4_4) = v0))
% 80.98/53.71  																																																																																																							|
% 80.98/53.71  																																																																																																								+-Applying beta-rule and splitting (340), into two cases.
% 80.98/53.71  																																																																																																								|-Branch one:
% 80.98/53.71  																																																																																																								| (237) all_26_0_30 = 0
% 80.98/53.71  																																																																																																								|
% 80.98/53.71  																																																																																																									| Equations (237) can reduce 84 to:
% 80.98/53.71  																																																																																																									| (103) $false
% 80.98/53.71  																																																																																																									|
% 80.98/53.71  																																																																																																									|-The branch is then unsatisfiable
% 80.98/53.71  																																																																																																								|-Branch two:
% 80.98/53.71  																																																																																																								| (84)  ~ (all_26_0_30 = 0)
% 80.98/53.71  																																																																																																								| (688)  ? [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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0))
% 80.98/53.71  																																																																																																								|
% 80.98/53.71  																																																																																																									+-Applying beta-rule and splitting (356), into two cases.
% 80.98/53.71  																																																																																																									|-Branch one:
% 80.98/53.71  																																																																																																									| (293) all_22_0_26 = 0
% 80.98/53.71  																																																																																																									|
% 80.98/53.71  																																																																																																										| Equations (293) can reduce 76 to:
% 80.98/53.71  																																																																																																										| (103) $false
% 80.98/53.71  																																																																																																										|
% 80.98/53.71  																																																																																																										|-The branch is then unsatisfiable
% 80.98/53.71  																																																																																																									|-Branch two:
% 80.98/53.71  																																																																																																									| (76)  ~ (all_22_0_26 = 0)
% 80.98/53.71  																																																																																																									| (692)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 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_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.98/53.71  																																																																																																									|
% 80.98/53.71  																																																																																																										+-Applying beta-rule and splitting (408), into two cases.
% 80.98/53.71  																																																																																																										|-Branch one:
% 80.98/53.71  																																																																																																										| (241) all_24_0_28 = 0
% 80.98/53.71  																																																																																																										|
% 80.98/53.71  																																																																																																											| Equations (241) can reduce 80 to:
% 80.98/53.71  																																																																																																											| (103) $false
% 80.98/53.71  																																																																																																											|
% 80.98/53.71  																																																																																																											|-The branch is then unsatisfiable
% 80.98/53.71  																																																																																																										|-Branch two:
% 80.98/53.71  																																																																																																										| (80)  ~ (all_24_0_28 = 0)
% 80.98/53.71  																																																																																																										| (696)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_24_1_29) = 0) | (v0 = 0 & apart_point_and_line(all_0_4_4, all_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_3_3) = v0))
% 80.98/53.71  																																																																																																										|
% 80.98/53.71  																																																																																																											+-Applying beta-rule and splitting (492), into two cases.
% 80.98/53.71  																																																																																																											|-Branch one:
% 80.98/53.71  																																																																																																											| (237) all_26_0_30 = 0
% 80.98/53.71  																																																																																																											|
% 80.98/53.71  																																																																																																												| Equations (237) can reduce 84 to:
% 80.98/53.71  																																																																																																												| (103) $false
% 80.98/53.71  																																																																																																												|
% 80.98/53.71  																																																																																																												|-The branch is then unsatisfiable
% 80.98/53.71  																																																																																																											|-Branch two:
% 80.98/53.71  																																																																																																											| (84)  ~ (all_26_0_30 = 0)
% 80.98/53.71  																																																																																																											| (700)  ? [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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_3_3) = v0))
% 80.98/53.71  																																																																																																											|
% 80.98/53.71  																																																																																																												+-Applying beta-rule and splitting (206), into two cases.
% 80.98/53.71  																																																																																																												|-Branch one:
% 80.98/53.71  																																																																																																												| (237) all_26_0_30 = 0
% 80.98/53.71  																																																																																																												|
% 80.98/53.71  																																																																																																													| Equations (237) can reduce 84 to:
% 80.98/53.71  																																																																																																													| (103) $false
% 80.98/53.71  																																																																																																													|
% 80.98/53.71  																																																																																																													|-The branch is then unsatisfiable
% 80.98/53.71  																																																																																																												|-Branch two:
% 80.98/53.71  																																																																																																												| (84)  ~ (all_26_0_30 = 0)
% 80.98/53.71  																																																																																																												| (704) 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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0))
% 80.98/53.71  																																																																																																												|
% 80.98/53.71  																																																																																																													+-Applying beta-rule and splitting (207), into two cases.
% 80.98/53.71  																																																																																																													|-Branch one:
% 80.98/53.71  																																																																																																													| (241) all_24_0_28 = 0
% 80.98/53.71  																																																																																																													|
% 80.98/53.71  																																																																																																														| Equations (241) can reduce 80 to:
% 80.98/53.71  																																																																																																														| (103) $false
% 80.98/53.71  																																																																																																														|
% 80.98/53.71  																																																																																																														|-The branch is then unsatisfiable
% 80.98/53.71  																																																																																																													|-Branch two:
% 80.98/53.71  																																																																																																													| (80)  ~ (all_24_0_28 = 0)
% 80.98/53.71  																																																																																																													| (708) 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_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_5_5) = v0))
% 80.98/53.71  																																																																																																													|
% 80.98/53.71  																																																																																																														+-Applying beta-rule and splitting (208), into two cases.
% 80.98/53.71  																																																																																																														|-Branch one:
% 80.98/53.71  																																																																																																														| (241) all_24_0_28 = 0
% 80.98/53.71  																																																																																																														|
% 80.98/53.71  																																																																																																															| Equations (241) can reduce 80 to:
% 80.98/53.71  																																																																																																															| (103) $false
% 80.98/53.71  																																																																																																															|
% 80.98/53.71  																																																																																																															|-The branch is then unsatisfiable
% 80.98/53.71  																																																																																																														|-Branch two:
% 80.98/53.71  																																																																																																														| (80)  ~ (all_24_0_28 = 0)
% 80.98/53.71  																																																																																																														| (712) 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_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_4_4) = v0))
% 80.98/53.71  																																																																																																														|
% 80.98/53.71  																																																																																																															+-Applying beta-rule and splitting (209), into two cases.
% 80.98/53.71  																																																																																																															|-Branch one:
% 80.98/53.71  																																																																																																															| (241) all_24_0_28 = 0
% 80.98/53.71  																																																																																																															|
% 80.98/53.71  																																																																																																																| Equations (241) can reduce 80 to:
% 80.98/53.71  																																																																																																																| (103) $false
% 80.98/53.71  																																																																																																																|
% 80.98/53.71  																																																																																																																|-The branch is then unsatisfiable
% 80.98/53.71  																																																																																																															|-Branch two:
% 80.98/53.71  																																																																																																															| (80)  ~ (all_24_0_28 = 0)
% 80.98/53.71  																																																																																																															| (716) 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_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_5_5) = v0))
% 80.98/53.71  																																																																																																															|
% 80.98/53.71  																																																																																																																+-Applying beta-rule and splitting (212), into two cases.
% 80.98/53.71  																																																																																																																|-Branch one:
% 80.98/53.71  																																																																																																																| (293) all_22_0_26 = 0
% 80.98/53.71  																																																																																																																|
% 80.98/53.71  																																																																																																																	| Equations (293) can reduce 76 to:
% 80.98/53.71  																																																																																																																	| (103) $false
% 80.98/53.71  																																																																																																																	|
% 80.98/53.71  																																																																																																																	|-The branch is then unsatisfiable
% 80.98/53.71  																																																																																																																|-Branch two:
% 80.98/53.71  																																																																																																																| (76)  ~ (all_22_0_26 = 0)
% 80.98/53.71  																																																																																																																| (720) all_20_0_24 = 0 |  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0))
% 80.98/53.71  																																																																																																																|
% 80.98/53.71  																																																																																																																	+-Applying beta-rule and splitting (210), into two cases.
% 80.98/53.71  																																																																																																																	|-Branch one:
% 80.98/53.71  																																																																																																																	| (241) all_24_0_28 = 0
% 80.98/53.71  																																																																																																																	|
% 80.98/53.71  																																																																																																																		| Equations (241) can reduce 80 to:
% 80.98/53.71  																																																																																																																		| (103) $false
% 80.98/53.71  																																																																																																																		|
% 80.98/53.71  																																																																																																																		|-The branch is then unsatisfiable
% 80.98/53.71  																																																																																																																	|-Branch two:
% 80.98/53.71  																																																																																																																	| (80)  ~ (all_24_0_28 = 0)
% 80.98/53.71  																																																																																																																	| (724) 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_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_4_4) = v0))
% 80.98/53.71  																																																																																																																	|
% 80.98/53.71  																																																																																																																		+-Applying beta-rule and splitting (199), into two cases.
% 80.98/53.71  																																																																																																																		|-Branch one:
% 80.98/53.71  																																																																																																																		| (233) all_20_0_24 = 0
% 80.98/53.71  																																																																																																																		|
% 80.98/53.71  																																																																																																																			| Equations (233) can reduce 72 to:
% 80.98/53.71  																																																																																																																			| (103) $false
% 80.98/53.71  																																																																																																																			|
% 80.98/53.71  																																																																																																																			|-The branch is then unsatisfiable
% 80.98/53.71  																																																																																																																		|-Branch two:
% 80.98/53.71  																																																																																																																		| (72)  ~ (all_20_0_24 = 0)
% 80.98/53.71  																																																																																																																		| (728) all_0_1_1 = 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_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.98/53.71  																																																																																																																		|
% 80.98/53.71  																																																																																																																			+-Applying beta-rule and splitting (200), into two cases.
% 80.98/53.71  																																																																																																																			|-Branch one:
% 80.98/53.71  																																																																																																																			| (269) all_30_0_34 = 0
% 80.98/53.71  																																																																																																																			|
% 80.98/53.71  																																																																																																																				| Equations (269) can reduce 92 to:
% 80.98/53.71  																																																																																																																				| (103) $false
% 80.98/53.71  																																																																																																																				|
% 80.98/53.71  																																																																																																																				|-The branch is then unsatisfiable
% 80.98/53.71  																																																																																																																			|-Branch two:
% 80.98/53.71  																																																																																																																			| (92)  ~ (all_30_0_34 = 0)
% 80.98/53.71  																																																																																																																			| (732) 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_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.98/53.71  																																																																																																																			|
% 80.98/53.71  																																																																																																																				+-Applying beta-rule and splitting (201), into two cases.
% 80.98/53.71  																																																																																																																				|-Branch one:
% 80.98/53.71  																																																																																																																				| (269) all_30_0_34 = 0
% 80.98/53.71  																																																																																																																				|
% 80.98/53.71  																																																																																																																					| Equations (269) can reduce 92 to:
% 80.98/53.71  																																																																																																																					| (103) $false
% 80.98/53.71  																																																																																																																					|
% 80.98/53.71  																																																																																																																					|-The branch is then unsatisfiable
% 80.98/53.71  																																																																																																																				|-Branch two:
% 80.98/53.71  																																																																																																																				| (92)  ~ (all_30_0_34 = 0)
% 80.98/53.71  																																																																																																																				| (736) 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_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_3_3) = v0))
% 80.98/53.71  																																																																																																																				|
% 80.98/53.71  																																																																																																																					+-Applying beta-rule and splitting (202), into two cases.
% 80.98/53.71  																																																																																																																					|-Branch one:
% 80.98/53.71  																																																																																																																					| (269) all_30_0_34 = 0
% 80.98/53.71  																																																																																																																					|
% 80.98/53.71  																																																																																																																						| Equations (269) can reduce 92 to:
% 80.98/53.71  																																																																																																																						| (103) $false
% 80.98/53.71  																																																																																																																						|
% 80.98/53.71  																																																																																																																						|-The branch is then unsatisfiable
% 80.98/53.71  																																																																																																																					|-Branch two:
% 80.98/53.71  																																																																																																																					| (92)  ~ (all_30_0_34 = 0)
% 80.98/53.71  																																																																																																																					| (740) 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_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.98/53.72  																																																																																																																					|
% 80.98/53.72  																																																																																																																						+-Applying beta-rule and splitting (203), into two cases.
% 80.98/53.72  																																																																																																																						|-Branch one:
% 80.98/53.72  																																																																																																																						| (269) all_30_0_34 = 0
% 80.98/53.72  																																																																																																																						|
% 80.98/53.72  																																																																																																																							| Equations (269) can reduce 92 to:
% 80.98/53.72  																																																																																																																							| (103) $false
% 80.98/53.72  																																																																																																																							|
% 80.98/53.72  																																																																																																																							|-The branch is then unsatisfiable
% 80.98/53.72  																																																																																																																						|-Branch two:
% 80.98/53.72  																																																																																																																						| (92)  ~ (all_30_0_34 = 0)
% 80.98/53.72  																																																																																																																						| (744) 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_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_3_3) = v0))
% 80.98/53.72  																																																																																																																						|
% 80.98/53.72  																																																																																																																							+-Applying beta-rule and splitting (204), into two cases.
% 80.98/53.72  																																																																																																																							|-Branch one:
% 80.98/53.72  																																																																																																																							| (237) all_26_0_30 = 0
% 80.98/53.72  																																																																																																																							|
% 80.98/53.72  																																																																																																																								| Equations (237) can reduce 84 to:
% 80.98/53.72  																																																																																																																								| (103) $false
% 80.98/53.72  																																																																																																																								|
% 80.98/53.72  																																																																																																																								|-The branch is then unsatisfiable
% 80.98/53.72  																																																																																																																							|-Branch two:
% 80.98/53.72  																																																																																																																							| (84)  ~ (all_26_0_30 = 0)
% 80.98/53.72  																																																																																																																							| (748) 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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.98/53.72  																																																																																																																							|
% 80.98/53.72  																																																																																																																								+-Applying beta-rule and splitting (205), into two cases.
% 80.98/53.72  																																																																																																																								|-Branch one:
% 80.98/53.72  																																																																																																																								| (237) all_26_0_30 = 0
% 80.98/53.72  																																																																																																																								|
% 80.98/53.72  																																																																																																																									| Equations (237) can reduce 84 to:
% 80.98/53.72  																																																																																																																									| (103) $false
% 80.98/53.72  																																																																																																																									|
% 80.98/53.72  																																																																																																																									|-The branch is then unsatisfiable
% 80.98/53.72  																																																																																																																								|-Branch two:
% 80.98/53.72  																																																																																																																								| (84)  ~ (all_26_0_30 = 0)
% 80.98/53.72  																																																																																																																								| (752) 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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.98/53.72  																																																																																																																								|
% 80.98/53.72  																																																																																																																									+-Applying beta-rule and splitting (211), into two cases.
% 80.98/53.72  																																																																																																																									|-Branch one:
% 80.98/53.72  																																																																																																																									| (229) all_28_0_32 = 0
% 80.98/53.72  																																																																																																																									|
% 80.98/53.72  																																																																																																																										| Equations (229) can reduce 88 to:
% 80.98/53.72  																																																																																																																										| (103) $false
% 80.98/53.72  																																																																																																																										|
% 80.98/53.72  																																																																																																																										|-The branch is then unsatisfiable
% 80.98/53.72  																																																																																																																									|-Branch two:
% 80.98/53.72  																																																																																																																									| (88)  ~ (all_28_0_32 = 0)
% 80.98/53.72  																																																																																																																									| (558) 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))
% 80.98/53.72  																																																																																																																									|
% 80.98/53.72  																																																																																																																										+-Applying beta-rule and splitting (542), into two cases.
% 80.98/53.72  																																																																																																																										|-Branch one:
% 80.98/53.72  																																																																																																																										| (233) all_20_0_24 = 0
% 80.98/53.72  																																																																																																																										|
% 80.98/53.72  																																																																																																																											| Equations (233) can reduce 72 to:
% 80.98/53.72  																																																																																																																											| (103) $false
% 80.98/53.72  																																																																																																																											|
% 80.98/53.72  																																																																																																																											|-The branch is then unsatisfiable
% 80.98/53.72  																																																																																																																										|-Branch two:
% 80.98/53.72  																																																																																																																										| (72)  ~ (all_20_0_24 = 0)
% 80.98/53.72  																																																																																																																										| (760)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_4_4, all_0_0_0) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_0_0) = 0) | ( ~ (v0 = 0) & distinct_points(all_0_4_4, all_0_5_5) = v0))
% 80.98/53.72  																																																																																																																										|
% 80.98/53.72  																																																																																																																											+-Applying beta-rule and splitting (716), into two cases.
% 80.98/53.72  																																																																																																																											|-Branch one:
% 80.98/53.72  																																																																																																																											| (233) all_20_0_24 = 0
% 80.98/53.72  																																																																																																																											|
% 80.98/53.72  																																																																																																																												| Equations (233) can reduce 72 to:
% 80.98/53.72  																																																																																																																												| (103) $false
% 80.98/53.72  																																																																																																																												|
% 80.98/53.72  																																																																																																																												|-The branch is then unsatisfiable
% 80.98/53.72  																																																																																																																											|-Branch two:
% 80.98/53.72  																																																																																																																											| (72)  ~ (all_20_0_24 = 0)
% 80.98/53.72  																																																																																																																											| (764)  ? [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_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_5_5) = v0))
% 80.98/53.72  																																																																																																																											|
% 80.98/53.72  																																																																																																																												+-Applying beta-rule and splitting (720), into two cases.
% 80.98/53.72  																																																																																																																												|-Branch one:
% 80.98/53.72  																																																																																																																												| (233) all_20_0_24 = 0
% 80.98/53.72  																																																																																																																												|
% 80.98/53.72  																																																																																																																													| Equations (233) can reduce 72 to:
% 80.98/53.72  																																																																																																																													| (103) $false
% 80.98/53.72  																																																																																																																													|
% 80.98/53.72  																																																																																																																													|-The branch is then unsatisfiable
% 80.98/53.72  																																																																																																																												|-Branch two:
% 80.98/53.72  																																																																																																																												| (72)  ~ (all_20_0_24 = 0)
% 80.98/53.72  																																																																																																																												| (768)  ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_3_3, all_22_1_27) = 0) | (v0 = 0 & apart_point_and_line(all_0_3_3, all_0_2_2) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0))
% 80.98/53.72  																																																																																																																												|
% 80.98/53.72  																																																																																																																													+-Applying beta-rule and splitting (752), into two cases.
% 80.98/53.72  																																																																																																																													|-Branch one:
% 80.98/53.72  																																																																																																																													| (233) all_20_0_24 = 0
% 80.98/53.72  																																																																																																																													|
% 80.98/53.72  																																																																																																																														| Equations (233) can reduce 72 to:
% 80.98/53.72  																																																																																																																														| (103) $false
% 80.98/53.72  																																																																																																																														|
% 80.98/53.72  																																																																																																																														|-The branch is then unsatisfiable
% 80.98/53.72  																																																																																																																													|-Branch two:
% 80.98/53.72  																																																																																																																													| (72)  ~ (all_20_0_24 = 0)
% 80.98/53.72  																																																																																																																													| (772)  ? [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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_22_1_27) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.98/53.72  																																																																																																																													|
% 80.98/53.72  																																																																																																																														+-Applying beta-rule and splitting (724), into two cases.
% 80.98/53.72  																																																																																																																														|-Branch one:
% 80.98/53.72  																																																																																																																														| (233) all_20_0_24 = 0
% 80.98/53.72  																																																																																																																														|
% 80.98/53.72  																																																																																																																															| Equations (233) can reduce 72 to:
% 80.98/53.72  																																																																																																																															| (103) $false
% 80.98/53.72  																																																																																																																															|
% 80.98/53.72  																																																																																																																															|-The branch is then unsatisfiable
% 80.98/53.72  																																																																																																																														|-Branch two:
% 80.98/53.72  																																																																																																																														| (72)  ~ (all_20_0_24 = 0)
% 80.98/53.72  																																																																																																																														| (776)  ? [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_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_4_4) = v0))
% 80.98/53.72  																																																																																																																														|
% 80.98/53.72  																																																																																																																															+-Applying beta-rule and splitting (732), into two cases.
% 80.98/53.72  																																																																																																																															|-Branch one:
% 80.98/53.72  																																																																																																																															| (233) all_20_0_24 = 0
% 80.98/53.72  																																																																																																																															|
% 80.98/53.72  																																																																																																																																| Equations (233) can reduce 72 to:
% 80.98/53.72  																																																																																																																																| (103) $false
% 80.98/53.72  																																																																																																																																|
% 80.98/53.72  																																																																																																																																|-The branch is then unsatisfiable
% 80.98/53.72  																																																																																																																															|-Branch two:
% 80.98/53.72  																																																																																																																															| (72)  ~ (all_20_0_24 = 0)
% 80.98/53.72  																																																																																																																															| (780)  ? [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_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_24_1_29, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 80.98/53.72  																																																																																																																															|
% 80.98/53.72  																																																																																																																																+-Applying beta-rule and splitting (704), into two cases.
% 80.98/53.72  																																																																																																																																|-Branch one:
% 80.98/53.72  																																																																																																																																| (233) all_20_0_24 = 0
% 80.98/53.72  																																																																																																																																|
% 80.98/53.72  																																																																																																																																	| Equations (233) can reduce 72 to:
% 80.98/53.72  																																																																																																																																	| (103) $false
% 80.98/53.72  																																																																																																																																	|
% 80.98/53.72  																																																																																																																																	|-The branch is then unsatisfiable
% 80.98/53.72  																																																																																																																																|-Branch two:
% 80.98/53.72  																																																																																																																																| (72)  ~ (all_20_0_24 = 0)
% 80.98/53.72  																																																																																																																																| (784)  ? [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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_3_3) = v0))
% 80.98/53.72  																																																																																																																																|
% 80.98/53.72  																																																																																																																																	+-Applying beta-rule and splitting (708), into two cases.
% 80.98/53.72  																																																																																																																																	|-Branch one:
% 80.98/53.72  																																																																																																																																	| (233) all_20_0_24 = 0
% 80.98/53.72  																																																																																																																																	|
% 80.98/53.72  																																																																																																																																		| Equations (233) can reduce 72 to:
% 80.98/53.72  																																																																																																																																		| (103) $false
% 80.98/53.72  																																																																																																																																		|
% 80.98/53.72  																																																																																																																																		|-The branch is then unsatisfiable
% 80.98/53.72  																																																																																																																																	|-Branch two:
% 80.98/53.72  																																																																																																																																	| (72)  ~ (all_20_0_24 = 0)
% 80.98/53.72  																																																																																																																																	| (788)  ? [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_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_5_5) = v0))
% 80.98/53.72  																																																																																																																																	|
% 80.98/53.72  																																																																																																																																		+-Applying beta-rule and splitting (712), into two cases.
% 80.98/53.72  																																																																																																																																		|-Branch one:
% 80.98/53.72  																																																																																																																																		| (233) all_20_0_24 = 0
% 80.98/53.72  																																																																																																																																		|
% 80.98/53.72  																																																																																																																																			| Equations (233) can reduce 72 to:
% 80.98/53.72  																																																																																																																																			| (103) $false
% 80.98/53.72  																																																																																																																																			|
% 80.98/53.72  																																																																																																																																			|-The branch is then unsatisfiable
% 80.98/53.72  																																																																																																																																		|-Branch two:
% 80.98/53.72  																																																																																																																																		| (72)  ~ (all_20_0_24 = 0)
% 80.98/53.72  																																																																																																																																		| (792)  ? [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_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_4_4) = v0))
% 80.98/53.72  																																																																																																																																		|
% 80.98/53.72  																																																																																																																																			+-Applying beta-rule and splitting (736), into two cases.
% 80.98/53.72  																																																																																																																																			|-Branch one:
% 80.98/53.72  																																																																																																																																			| (233) all_20_0_24 = 0
% 80.98/53.72  																																																																																																																																			|
% 80.98/53.72  																																																																																																																																				| Equations (233) can reduce 72 to:
% 80.98/53.72  																																																																																																																																				| (103) $false
% 80.98/53.72  																																																																																																																																				|
% 80.98/53.72  																																																																																																																																				|-The branch is then unsatisfiable
% 80.98/53.72  																																																																																																																																			|-Branch two:
% 80.98/53.72  																																																																																																																																			| (72)  ~ (all_20_0_24 = 0)
% 81.14/53.72  																																																																																																																																			| (796)  ? [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_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_3_3) = v0))
% 81.14/53.72  																																																																																																																																			|
% 81.14/53.72  																																																																																																																																				+-Applying beta-rule and splitting (740), into two cases.
% 81.14/53.72  																																																																																																																																				|-Branch one:
% 81.14/53.72  																																																																																																																																				| (233) all_20_0_24 = 0
% 81.14/53.72  																																																																																																																																				|
% 81.14/53.72  																																																																																																																																					| Equations (233) can reduce 72 to:
% 81.14/53.72  																																																																																																																																					| (103) $false
% 81.14/53.72  																																																																																																																																					|
% 81.14/53.72  																																																																																																																																					|-The branch is then unsatisfiable
% 81.14/53.72  																																																																																																																																				|-Branch two:
% 81.14/53.72  																																																																																																																																				| (72)  ~ (all_20_0_24 = 0)
% 81.14/53.72  																																																																																																																																				| (800)  ? [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_24_1_29) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_2_2, all_24_1_29) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 81.14/53.72  																																																																																																																																				|
% 81.14/53.72  																																																																																																																																					+-Applying beta-rule and splitting (744), into two cases.
% 81.14/53.72  																																																																																																																																					|-Branch one:
% 81.14/53.72  																																																																																																																																					| (233) all_20_0_24 = 0
% 81.14/53.72  																																																																																																																																					|
% 81.14/53.72  																																																																																																																																						| Equations (233) can reduce 72 to:
% 81.14/53.72  																																																																																																																																						| (103) $false
% 81.14/53.72  																																																																																																																																						|
% 81.14/53.72  																																																																																																																																						|-The branch is then unsatisfiable
% 81.14/53.72  																																																																																																																																					|-Branch two:
% 81.14/53.72  																																																																																																																																					| (72)  ~ (all_20_0_24 = 0)
% 81.14/53.72  																																																																																																																																					| (804)  ? [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_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_3_3) = v0))
% 81.14/53.72  																																																																																																																																					|
% 81.14/53.72  																																																																																																																																						+-Applying beta-rule and splitting (748), into two cases.
% 81.14/53.72  																																																																																																																																						|-Branch one:
% 81.14/53.72  																																																																																																																																						| (233) all_20_0_24 = 0
% 81.14/53.72  																																																																																																																																						|
% 81.14/53.72  																																																																																																																																							| Equations (233) can reduce 72 to:
% 81.14/53.72  																																																																																																																																							| (103) $false
% 81.14/53.72  																																																																																																																																							|
% 81.14/53.72  																																																																																																																																							|-The branch is then unsatisfiable
% 81.14/53.72  																																																																																																																																						|-Branch two:
% 81.14/53.72  																																																																																																																																						| (72)  ~ (all_20_0_24 = 0)
% 81.14/53.72  																																																																																																																																						| (808)  ? [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_22_1_27) = 0) | ( ~ (v0 = 0) & distinct_lines(all_22_1_27, all_0_2_2) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_3_3, all_0_5_5) = v0))
% 81.14/53.73  																																																																																																																																						|
% 81.14/53.73  																																																																																																																																							+-Applying beta-rule and splitting (558), into two cases.
% 81.14/53.73  																																																																																																																																							|-Branch one:
% 81.14/53.73  																																																																																																																																							| (233) all_20_0_24 = 0
% 81.14/53.73  																																																																																																																																							|
% 81.14/53.73  																																																																																																																																								| Equations (233) can reduce 72 to:
% 81.14/53.73  																																																																																																																																								| (103) $false
% 81.14/53.73  																																																																																																																																								|
% 81.14/53.73  																																																																																																																																								|-The branch is then unsatisfiable
% 81.14/53.73  																																																																																																																																							|-Branch two:
% 81.14/53.73  																																																																																																																																							| (72)  ~ (all_20_0_24 = 0)
% 81.14/53.73  																																																																																																																																							| (812)  ? [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))
% 81.14/53.73  																																																																																																																																							|
% 81.14/53.73  																																																																																																																																								| Instantiating formula (42) 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:
% 81.14/53.73  																																																																																																																																								| (233) all_20_0_24 = 0
% 81.14/53.73  																																																																																																																																								|
% 81.14/53.73  																																																																																																																																								| Equations (233) can reduce 72 to:
% 81.14/53.73  																																																																																																																																								| (103) $false
% 81.14/53.73  																																																																																																																																								|
% 81.14/53.73  																																																																																																																																								|-The branch is then unsatisfiable
% 81.17/53.73  					|-Branch two:
% 81.17/53.73  					| (815)  ~ (all_33_0_37 = 0) & distinct_points(all_0_4_4, all_0_5_5) = all_33_0_37
% 81.17/53.73  					|
% 81.17/53.73  						| Applying alpha-rule on (815) yields:
% 81.17/53.73  						| (227)  ~ (all_33_0_37 = 0)
% 81.17/53.73  						| (817) distinct_points(all_0_4_4, all_0_5_5) = all_33_0_37
% 81.17/53.73  						|
% 81.17/53.73  						| Instantiating formula (38) with all_33_0_37, all_0_5_5, all_0_4_4, all_0_5_5 and discharging atoms distinct_points(all_0_4_4, all_0_5_5) = all_33_0_37, distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 81.17/53.73  						| (818) all_33_0_37 = 0 | distinct_points(all_0_5_5, all_0_5_5) = 0
% 81.17/53.73  						|
% 81.17/53.73  						+-Applying beta-rule and splitting (818), into two cases.
% 81.17/53.73  						|-Branch one:
% 81.17/53.73  						| (581) distinct_points(all_0_5_5, all_0_5_5) = 0
% 81.17/53.73  						|
% 81.17/53.73  							| Instantiating formula (3) with all_0_5_5 and discharging atoms distinct_points(all_0_5_5, all_0_5_5) = 0, yields:
% 81.17/53.73  							| (582) $false
% 81.17/53.73  							|
% 81.17/53.73  							|-The branch is then unsatisfiable
% 81.17/53.73  						|-Branch two:
% 81.17/53.73  						| (583)  ~ (distinct_points(all_0_5_5, all_0_5_5) = 0)
% 81.17/53.73  						| (526) all_33_0_37 = 0
% 81.17/53.73  						|
% 81.17/53.73  							| Equations (526) can reduce 227 to:
% 81.17/53.73  							| (103) $false
% 81.17/53.73  							|
% 81.17/53.73  							|-The branch is then unsatisfiable
% 81.17/53.73  				|-Branch two:
% 81.17/53.73  				| (824)  ~ (all_35_0_39 = 0) & distinct_points(all_0_5_5, all_0_4_4) = all_35_0_39
% 81.17/53.73  				|
% 81.17/53.73  					| Applying alpha-rule on (824) yields:
% 81.17/53.73  					| (112)  ~ (all_35_0_39 = 0)
% 81.17/53.73  					| (826) distinct_points(all_0_5_5, all_0_4_4) = all_35_0_39
% 81.17/53.73  					|
% 81.17/53.73  					| Instantiating formula (24) 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:
% 81.17/53.73  					| (827) all_35_0_39 = 0
% 81.17/53.73  					|
% 81.17/53.73  					| Equations (827) can reduce 112 to:
% 81.17/53.73  					| (103) $false
% 81.17/53.73  					|
% 81.17/53.73  					|-The branch is then unsatisfiable
% 81.17/53.73  			|-Branch two:
% 81.17/53.73  			| (829)  ~ (distinct_lines(all_0_0_0, all_0_2_2) = 0)
% 81.17/53.73  			| (102) all_0_1_1 = 0
% 81.17/53.73  			|
% 81.17/53.73  				| Equations (102) can reduce 33 to:
% 81.17/53.73  				| (103) $false
% 81.17/53.73  				|
% 81.17/53.73  				|-The branch is then unsatisfiable
% 81.17/53.73  |-Branch two:
% 81.17/53.73  | (832)  ~ (all_32_0_36 = 0) & distinct_points(all_0_5_5, all_0_4_4) = all_32_0_36
% 81.17/53.73  |
% 81.17/53.73  	| Applying alpha-rule on (832) yields:
% 81.17/53.73  	| (100)  ~ (all_32_0_36 = 0)
% 81.17/53.73  	| (834) distinct_points(all_0_5_5, all_0_4_4) = all_32_0_36
% 81.17/53.73  	|
% 81.17/53.73  	| Instantiating formula (24) with all_0_5_5, all_0_4_4, all_32_0_36, 0 and discharging atoms distinct_points(all_0_5_5, all_0_4_4) = all_32_0_36, distinct_points(all_0_5_5, all_0_4_4) = 0, yields:
% 81.17/53.73  	| (835) all_32_0_36 = 0
% 81.17/53.73  	|
% 81.17/53.73  	| Equations (835) can reduce 100 to:
% 81.17/53.73  	| (103) $false
% 81.17/53.73  	|
% 81.17/53.73  	|-The branch is then unsatisfiable
% 81.17/53.73  % SZS output end Proof for theBenchmark
% 81.17/53.73  
% 81.17/53.73  53107ms
%------------------------------------------------------------------------------