TSTP Solution File: GEO191+3 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : GEO191+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n006.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 03:48:28 EDT 2022
% Result : Theorem 22.74s 6.73s
% Output : Proof 71.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO191+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 06:04:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.53/0.60 ____ _
% 0.53/0.60 ___ / __ \_____(_)___ ________ __________
% 0.53/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.53/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.53/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.53/0.60
% 0.53/0.60 A Theorem Prover for First-Order Logic
% 0.53/0.60 (ePrincess v.1.0)
% 0.53/0.60
% 0.53/0.60 (c) Philipp Rümmer, 2009-2015
% 0.53/0.60 (c) Peter Backeman, 2014-2015
% 0.53/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.53/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.53/0.60 Bug reports to peter@backeman.se
% 0.53/0.60
% 0.53/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.53/0.60
% 0.53/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.70/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.85/0.99 Prover 0: Preprocessing ...
% 2.51/1.22 Prover 0: Warning: ignoring some quantifiers
% 2.68/1.25 Prover 0: Constructing countermodel ...
% 19.13/5.94 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 19.41/5.98 Prover 1: Preprocessing ...
% 19.78/6.13 Prover 1: Constructing countermodel ...
% 20.28/6.19 Prover 1: gave up
% 20.28/6.20 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 20.58/6.23 Prover 2: Preprocessing ...
% 21.35/6.39 Prover 2: Warning: ignoring some quantifiers
% 21.35/6.40 Prover 2: Constructing countermodel ...
% 22.74/6.73 Prover 2: proved (533ms)
% 22.74/6.73 Prover 0: stopped
% 22.74/6.73
% 22.74/6.73 No countermodel exists, formula is valid
% 22.74/6.73 % SZS status Theorem for theBenchmark
% 22.74/6.73
% 22.74/6.73 Generating proof ... Warning: ignoring some quantifiers
% 70.31/33.01 found it (size 962)
% 70.31/33.01
% 70.31/33.01 % SZS output start Proof for theBenchmark
% 70.31/33.01 Assumed formulas after preprocessing and simplification:
% 70.31/33.01 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = 0) & ~ (v8 = 0) & intersection_point(v2, v3) = v7 & intersection_point(v0, v1) = v4 & apart_point_and_line(v7, v1) = v9 & apart_point_and_line(v7, v0) = v8 & convergent_lines(v2, v3) = 0 & convergent_lines(v0, v1) = 0 & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | v14 = 0 | ~ (unorthogonal_lines(v12, v13) = v15) | ~ (apart_point_and_line(v10, v12) = v14) | ~ (distinct_lines(v11, v12) = 0) | ? [v16] : ((v16 = 0 & unorthogonal_lines(v11, v13) = 0) | (v16 = 0 & apart_point_and_line(v10, v11) = 0))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | v14 = 0 | ~ (unorthogonal_lines(v12, v13) = v15) | ~ (apart_point_and_line(v10, v11) = v14) | ? [v16] : ((v16 = 0 & unorthogonal_lines(v11, v13) = 0) | (v16 = 0 & apart_point_and_line(v10, v12) = 0) | ( ~ (v16 = 0) & distinct_lines(v11, v12) = v16))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | v14 = 0 | ~ (unorthogonal_lines(v11, v13) = v15) | ~ (apart_point_and_line(v10, v12) = v14) | ? [v16] : ((v16 = 0 & unorthogonal_lines(v12, v13) = 0) | (v16 = 0 & apart_point_and_line(v10, v11) = 0) | ( ~ (v16 = 0) & distinct_lines(v11, v12) = v16))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | v14 = 0 | ~ (unorthogonal_lines(v11, v13) = v15) | ~ (apart_point_and_line(v10, v11) = v14) | ~ (distinct_lines(v11, v12) = 0) | ? [v16] : ((v16 = 0 & unorthogonal_lines(v12, v13) = 0) | (v16 = 0 & apart_point_and_line(v10, v12) = 0))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | v14 = 0 | ~ (apart_point_and_line(v11, v13) = v15) | ~ (apart_point_and_line(v11, v12) = v14) | ~ (distinct_points(v10, v11) = 0) | ? [v16] : ((v16 = 0 & apart_point_and_line(v10, v13) = 0) | (v16 = 0 & apart_point_and_line(v10, v12) = 0) | ( ~ (v16 = 0) & distinct_lines(v12, v13) = v16))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | v14 = 0 | ~ (apart_point_and_line(v11, v13) = v15) | ~ (apart_point_and_line(v10, v13) = v14) | ~ (distinct_lines(v12, v13) = 0) | ? [v16] : ((v16 = 0 & apart_point_and_line(v11, v12) = 0) | (v16 = 0 & apart_point_and_line(v10, v12) = 0) | ( ~ (v16 = 0) & distinct_points(v10, v11) = v16))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | v14 = 0 | ~ (apart_point_and_line(v11, v13) = v15) | ~ (apart_point_and_line(v10, v12) = v14) | ? [v16] : ((v16 = 0 & apart_point_and_line(v11, v12) = 0) | (v16 = 0 & apart_point_and_line(v10, v13) = 0) | ( ~ (v16 = 0) & distinct_lines(v12, v13) = v16) | ( ~ (v16 = 0) & distinct_points(v10, v11) = v16))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | v14 = 0 | ~ (apart_point_and_line(v11, v12) = v15) | ~ (apart_point_and_line(v10, v13) = v14) | ? [v16] : ((v16 = 0 & apart_point_and_line(v11, v13) = 0) | (v16 = 0 & apart_point_and_line(v10, v12) = 0) | ( ~ (v16 = 0) & distinct_lines(v12, v13) = v16) | ( ~ (v16 = 0) & distinct_points(v10, v11) = v16))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | v14 = 0 | ~ (apart_point_and_line(v11, v12) = v15) | ~ (apart_point_and_line(v10, v12) = v14) | ~ (distinct_lines(v12, v13) = 0) | ? [v16] : ((v16 = 0 & apart_point_and_line(v11, v13) = 0) | (v16 = 0 & apart_point_and_line(v10, v13) = 0) | ( ~ (v16 = 0) & distinct_points(v10, v11) = v16))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | v14 = 0 | ~ (apart_point_and_line(v10, v13) = v15) | ~ (apart_point_and_line(v10, v12) = v14) | ~ (distinct_points(v10, v11) = 0) | ? [v16] : ((v16 = 0 & apart_point_and_line(v11, v13) = 0) | (v16 = 0 & apart_point_and_line(v11, v12) = 0) | ( ~ (v16 = 0) & distinct_lines(v12, v13) = v16))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = 0 | ~ (unorthogonal_lines(v10, v12) = v14) | ~ (unorthogonal_lines(v10, v11) = v13) | ? [v15] : ( ~ (v15 = 0) & convergent_lines(v11, v12) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = 0 | ~ (apart_point_and_line(v12, v11) = v14) | ~ (distinct_points(v10, v12) = v13) | ? [v15] : ( ~ (v15 = 0) & apart_point_and_line(v10, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = 0 | ~ (apart_point_and_line(v10, v12) = v14) | ~ (apart_point_and_line(v10, v11) = v13) | ? [v15] : ((v15 = 0 & convergent_lines(v11, v12) = 0) | ( ~ (v15 = 0) & distinct_lines(v11, v12) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = 0 | ~ (apart_point_and_line(v10, v12) = v14) | ~ (distinct_lines(v11, v12) = v13) | ? [v15] : ( ~ (v15 = 0) & apart_point_and_line(v10, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = 0 | ~ (apart_point_and_line(v10, v12) = v13) | ~ (convergent_lines(v11, v12) = v14) | ? [v15] : ((v15 = 0 & apart_point_and_line(v10, v11) = 0) | ( ~ (v15 = 0) & distinct_lines(v11, v12) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = 0 | ~ (apart_point_and_line(v10, v11) = v13) | ~ (convergent_lines(v11, v12) = v14) | ? [v15] : ((v15 = 0 & apart_point_and_line(v10, v12) = 0) | ( ~ (v15 = 0) & distinct_lines(v11, v12) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = 0 | ~ (convergent_lines(v11, v12) = v14) | ~ (convergent_lines(v10, v12) = v13) | ? [v15] : ( ~ (v15 = 0) & convergent_lines(v10, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = 0 | ~ (convergent_lines(v10, v12) = v14) | ~ (distinct_lines(v11, v12) = v13) | ? [v15] : ( ~ (v15 = 0) & convergent_lines(v10, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = 0 | ~ (distinct_lines(v11, v12) = v14) | ~ (distinct_lines(v10, v12) = v13) | ? [v15] : ( ~ (v15 = 0) & distinct_lines(v10, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | v13 = 0 | ~ (distinct_points(v11, v12) = v14) | ~ (distinct_points(v10, v12) = v13) | ? [v15] : ( ~ (v15 = 0) & distinct_points(v10, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (unorthogonal_lines(v11, v12) = v14) | ~ (unorthogonal_lines(v10, v12) = v13) | ? [v15] : ((v15 = 0 & v14 = 0 & convergent_lines(v11, v12) = 0) | (v15 = 0 & v13 = 0 & convergent_lines(v10, v12) = 0) | ( ~ (v15 = 0) & unorthogonal_lines(v10, v11) = v15) | ( ~ (v15 = 0) & convergent_lines(v10, v11) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (unorthogonal_lines(v11, v12) = v14) | ~ (convergent_lines(v10, v12) = v13) | ? [v15] : ((v15 = 0 & v14 = 0 & convergent_lines(v11, v12) = 0) | (v15 = 0 & v13 = 0 & unorthogonal_lines(v10, v12) = 0) | ( ~ (v15 = 0) & unorthogonal_lines(v10, v11) = v15) | ( ~ (v15 = 0) & convergent_lines(v10, v11) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (unorthogonal_lines(v10, v12) = v14) | ~ (unorthogonal_lines(v10, v11) = v13) | ? [v15] : ((v15 = 0 & v14 = 0 & convergent_lines(v10, v12) = 0) | (v15 = 0 & v13 = 0 & convergent_lines(v10, v11) = 0) | ( ~ (v15 = 0) & unorthogonal_lines(v11, v12) = v15) | ( ~ (v15 = 0) & convergent_lines(v11, v12) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (unorthogonal_lines(v10, v12) = v14) | ~ (convergent_lines(v10, v11) = v13) | ? [v15] : ((v15 = 0 & v14 = 0 & convergent_lines(v10, v12) = 0) | (v15 = 0 & v13 = 0 & unorthogonal_lines(v10, v11) = 0) | ( ~ (v15 = 0) & unorthogonal_lines(v11, v12) = v15) | ( ~ (v15 = 0) & convergent_lines(v11, v12) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (unorthogonal_lines(v10, v12) = v13) | ~ (convergent_lines(v11, v12) = v14) | ? [v15] : ((v15 = 0 & v14 = 0 & unorthogonal_lines(v11, v12) = 0) | (v15 = 0 & v13 = 0 & convergent_lines(v10, v12) = 0) | ( ~ (v15 = 0) & unorthogonal_lines(v10, v11) = v15) | ( ~ (v15 = 0) & convergent_lines(v10, v11) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (unorthogonal_lines(v10, v11) = v13) | ~ (convergent_lines(v10, v12) = v14) | ? [v15] : ((v15 = 0 & v14 = 0 & unorthogonal_lines(v10, v12) = 0) | (v15 = 0 & v13 = 0 & convergent_lines(v10, v11) = 0) | ( ~ (v15 = 0) & unorthogonal_lines(v11, v12) = v15) | ( ~ (v15 = 0) & convergent_lines(v11, v12) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (convergent_lines(v11, v12) = v14) | ~ (convergent_lines(v10, v12) = v13) | ? [v15] : ((v15 = 0 & v14 = 0 & unorthogonal_lines(v11, v12) = 0) | (v15 = 0 & v13 = 0 & unorthogonal_lines(v10, v12) = 0) | ( ~ (v15 = 0) & unorthogonal_lines(v10, v11) = v15) | ( ~ (v15 = 0) & convergent_lines(v10, v11) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (convergent_lines(v10, v12) = v14) | ~ (convergent_lines(v10, v11) = v13) | ? [v15] : ((v15 = 0 & v14 = 0 & unorthogonal_lines(v10, v12) = 0) | (v15 = 0 & v13 = 0 & unorthogonal_lines(v10, v11) = 0) | ( ~ (v15 = 0) & unorthogonal_lines(v11, v12) = v15) | ( ~ (v15 = 0) & convergent_lines(v11, v12) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (unorthogonal_lines(v10, v12) = v13) | ~ (convergent_lines(v11, v12) = 0) | unorthogonal_lines(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (unorthogonal_lines(v10, v11) = v13) | ~ (convergent_lines(v11, v12) = 0) | unorthogonal_lines(v10, v12) = 0) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (apart_point_and_line(v12, v11) = v13) | ~ (apart_point_and_line(v10, v11) = 0) | distinct_points(v10, v12) = 0) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (apart_point_and_line(v10, v12) = v13) | ~ (apart_point_and_line(v10, v11) = 0) | distinct_lines(v11, v12) = 0) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (apart_point_and_line(v10, v12) = v13) | ~ (distinct_lines(v11, v12) = 0) | ? [v14] : ((v14 = 0 & apart_point_and_line(v10, v11) = 0) | (v14 = 0 & convergent_lines(v11, v12) = 0))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (apart_point_and_line(v10, v11) = v13) | ~ (distinct_lines(v11, v12) = 0) | ? [v14] : ((v14 = 0 & apart_point_and_line(v10, v12) = 0) | (v14 = 0 & convergent_lines(v11, v12) = 0))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (apart_point_and_line(v10, v11) = 0) | ~ (distinct_lines(v11, v12) = v13) | apart_point_and_line(v10, v12) = 0) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (apart_point_and_line(v10, v11) = 0) | ~ (distinct_points(v10, v12) = v13) | apart_point_and_line(v12, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (convergent_lines(v11, v12) = v13) | ~ (convergent_lines(v10, v11) = 0) | convergent_lines(v10, v12) = 0) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (convergent_lines(v10, v12) = v13) | ~ (convergent_lines(v10, v11) = 0) | convergent_lines(v11, v12) = 0) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (convergent_lines(v10, v12) = v13) | ~ (convergent_lines(v10, v11) = 0) | distinct_lines(v11, v12) = 0) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (convergent_lines(v10, v11) = 0) | ~ (distinct_lines(v11, v12) = v13) | convergent_lines(v10, v12) = 0) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (distinct_lines(v11, v12) = v13) | ~ (distinct_lines(v10, v11) = 0) | distinct_lines(v10, v12) = 0) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (distinct_lines(v10, v12) = v13) | ~ (distinct_lines(v10, v11) = 0) | distinct_lines(v11, v12) = 0) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (distinct_points(v11, v12) = v13) | ~ (distinct_points(v10, v11) = 0) | distinct_points(v10, v12) = 0) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (distinct_points(v10, v12) = v13) | ~ (distinct_points(v10, v11) = 0) | distinct_points(v11, v12) = 0) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (orthogonal_lines(v13, v12) = v11) | ~ (orthogonal_lines(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (incident_point_and_line(v13, v12) = v11) | ~ (incident_point_and_line(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (parallel_lines(v13, v12) = v11) | ~ (parallel_lines(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (equal_lines(v13, v12) = v11) | ~ (equal_lines(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (equal_points(v13, v12) = v11) | ~ (equal_points(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (orthogonal_through_point(v13, v12) = v11) | ~ (orthogonal_through_point(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (unorthogonal_lines(v13, v12) = v11) | ~ (unorthogonal_lines(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (parallel_through_point(v13, v12) = v11) | ~ (parallel_through_point(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (intersection_point(v13, v12) = v11) | ~ (intersection_point(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (line_connecting(v13, v12) = v11) | ~ (line_connecting(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (apart_point_and_line(v13, v12) = v11) | ~ (apart_point_and_line(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (convergent_lines(v13, v12) = v11) | ~ (convergent_lines(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (distinct_lines(v13, v12) = v11) | ~ (distinct_lines(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (distinct_points(v13, v12) = v11) | ~ (distinct_points(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (unorthogonal_lines(v11, v12) = v13) | ~ (unorthogonal_lines(v10, v11) = 0) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = 0 & unorthogonal_lines(v10, v12) = 0 & convergent_lines(v10, v12) = 0) | (v14 = 0 & v13 = 0 & convergent_lines(v11, v12) = 0) | ( ~ (v14 = 0) & convergent_lines(v10, v11) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (unorthogonal_lines(v11, v12) = v13) | ~ (convergent_lines(v10, v11) = 0) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = 0 & unorthogonal_lines(v10, v12) = 0 & convergent_lines(v10, v12) = 0) | (v14 = 0 & v13 = 0 & convergent_lines(v11, v12) = 0) | ( ~ (v14 = 0) & unorthogonal_lines(v10, v11) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (unorthogonal_lines(v11, v12) = 0) | ~ (unorthogonal_lines(v10, v12) = v13) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = 0 & unorthogonal_lines(v10, v11) = 0 & convergent_lines(v10, v11) = 0) | (v14 = 0 & v13 = 0 & convergent_lines(v10, v12) = 0) | ( ~ (v14 = 0) & convergent_lines(v11, v12) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (unorthogonal_lines(v11, v12) = 0) | ~ (unorthogonal_lines(v10, v11) = v13) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = 0 & unorthogonal_lines(v10, v12) = 0 & convergent_lines(v10, v12) = 0) | (v14 = 0 & v13 = 0 & convergent_lines(v10, v11) = 0) | ( ~ (v14 = 0) & convergent_lines(v11, v12) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (unorthogonal_lines(v11, v12) = 0) | ~ (convergent_lines(v10, v12) = v13) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = 0 & unorthogonal_lines(v10, v11) = 0 & convergent_lines(v10, v11) = 0) | (v14 = 0 & v13 = 0 & unorthogonal_lines(v10, v12) = 0) | ( ~ (v14 = 0) & convergent_lines(v11, v12) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (unorthogonal_lines(v11, v12) = 0) | ~ (convergent_lines(v10, v11) = v13) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = 0 & unorthogonal_lines(v10, v12) = 0 & convergent_lines(v10, v12) = 0) | (v14 = 0 & v13 = 0 & unorthogonal_lines(v10, v11) = 0) | ( ~ (v14 = 0) & convergent_lines(v11, v12) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (unorthogonal_lines(v10, v12) = v13) | ~ (unorthogonal_lines(v10, v11) = 0) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = 0 & unorthogonal_lines(v11, v12) = 0 & convergent_lines(v11, v12) = 0) | (v14 = 0 & v13 = 0 & convergent_lines(v10, v12) = 0) | ( ~ (v14 = 0) & convergent_lines(v10, v11) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (unorthogonal_lines(v10, v12) = v13) | ~ (convergent_lines(v11, v12) = 0) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = 0 & unorthogonal_lines(v10, v11) = 0 & convergent_lines(v10, v11) = 0) | (v14 = 0 & v13 = 0 & convergent_lines(v10, v12) = 0) | ( ~ (v14 = 0) & unorthogonal_lines(v11, v12) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (unorthogonal_lines(v10, v12) = v13) | ~ (convergent_lines(v10, v11) = 0) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = 0 & unorthogonal_lines(v11, v12) = 0 & convergent_lines(v11, v12) = 0) | (v14 = 0 & v13 = 0 & convergent_lines(v10, v12) = 0) | ( ~ (v14 = 0) & unorthogonal_lines(v10, v11) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (unorthogonal_lines(v10, v11) = v13) | ~ (convergent_lines(v11, v12) = 0) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = 0 & unorthogonal_lines(v10, v12) = 0 & convergent_lines(v10, v12) = 0) | (v14 = 0 & v13 = 0 & convergent_lines(v10, v11) = 0) | ( ~ (v14 = 0) & unorthogonal_lines(v11, v12) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (unorthogonal_lines(v10, v11) = 0) | ~ (convergent_lines(v11, v12) = v13) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = 0 & unorthogonal_lines(v10, v12) = 0 & convergent_lines(v10, v12) = 0) | (v14 = 0 & v13 = 0 & unorthogonal_lines(v11, v12) = 0) | ( ~ (v14 = 0) & convergent_lines(v10, v11) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (unorthogonal_lines(v10, v11) = 0) | ~ (convergent_lines(v10, v12) = v13) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = 0 & unorthogonal_lines(v11, v12) = 0 & convergent_lines(v11, v12) = 0) | (v14 = 0 & v13 = 0 & unorthogonal_lines(v10, v12) = 0) | ( ~ (v14 = 0) & convergent_lines(v10, v11) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (convergent_lines(v11, v12) = v13) | ~ (convergent_lines(v10, v11) = 0) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = 0 & unorthogonal_lines(v10, v12) = 0 & convergent_lines(v10, v12) = 0) | (v14 = 0 & v13 = 0 & unorthogonal_lines(v11, v12) = 0) | ( ~ (v14 = 0) & unorthogonal_lines(v10, v11) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (convergent_lines(v11, v12) = 0) | ~ (convergent_lines(v10, v12) = v13) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = 0 & unorthogonal_lines(v10, v11) = 0 & convergent_lines(v10, v11) = 0) | (v14 = 0 & v13 = 0 & unorthogonal_lines(v10, v12) = 0) | ( ~ (v14 = 0) & unorthogonal_lines(v11, v12) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (convergent_lines(v11, v12) = 0) | ~ (convergent_lines(v10, v11) = v13) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = 0 & unorthogonal_lines(v10, v12) = 0 & convergent_lines(v10, v12) = 0) | (v14 = 0 & v13 = 0 & unorthogonal_lines(v10, v11) = 0) | ( ~ (v14 = 0) & unorthogonal_lines(v11, v12) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (convergent_lines(v10, v12) = v13) | ~ (convergent_lines(v10, v11) = 0) | ? [v14] : ? [v15] : ((v15 = 0 & v14 = 0 & unorthogonal_lines(v11, v12) = 0 & convergent_lines(v11, v12) = 0) | (v14 = 0 & v13 = 0 & unorthogonal_lines(v10, v12) = 0) | ( ~ (v14 = 0) & unorthogonal_lines(v10, v11) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (distinct_lines(v12, v13) = 0) | ~ (distinct_points(v10, v11) = 0) | ? [v14] : ((v14 = 0 & apart_point_and_line(v11, v13) = 0) | (v14 = 0 & apart_point_and_line(v11, v12) = 0) | (v14 = 0 & apart_point_and_line(v10, v13) = 0) | (v14 = 0 & apart_point_and_line(v10, v12) = 0))) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (orthogonal_lines(v10, v11) = v12) | unorthogonal_lines(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (incident_point_and_line(v10, v11) = v12) | apart_point_and_line(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (parallel_lines(v10, v11) = v12) | convergent_lines(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (equal_lines(v10, v11) = v12) | distinct_lines(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (equal_points(v10, v11) = v12) | distinct_points(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (unorthogonal_lines(v10, v11) = v12) | orthogonal_lines(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (unorthogonal_lines(v10, v11) = v12) | convergent_lines(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (apart_point_and_line(v10, v11) = v12) | incident_point_and_line(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (convergent_lines(v10, v11) = v12) | parallel_lines(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (convergent_lines(v10, v11) = v12) | unorthogonal_lines(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (convergent_lines(v10, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & distinct_lines(v10, v11) = v13)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (distinct_lines(v10, v11) = v12) | equal_lines(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (distinct_points(v10, v11) = v12) | equal_points(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (point(v12) = v11) | ~ (point(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (line(v12) = v11) | ~ (line(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (orthogonal_through_point(v11, v10) = v12) | ? [v13] : ( ~ (v13 = 0) & unorthogonal_lines(v12, v11) = v13)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (orthogonal_through_point(v11, v10) = v12) | ? [v13] : ( ~ (v13 = 0) & apart_point_and_line(v10, v12) = v13)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (orthogonal_through_point(v10, v11) = v12) | ? [v13] : ((v13 = 0 & line(v12) = 0) | ( ~ (v13 = 0) & point(v11) = v13) | ( ~ (v13 = 0) & line(v10) = v13))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (parallel_through_point(v11, v10) = v12) | ? [v13] : ( ~ (v13 = 0) & apart_point_and_line(v10, v12) = v13)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (parallel_through_point(v11, v10) = v12) | ? [v13] : ( ~ (v13 = 0) & convergent_lines(v12, v11) = v13)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (parallel_through_point(v10, v11) = v12) | ? [v13] : ((v13 = 0 & line(v12) = 0) | ( ~ (v13 = 0) & point(v11) = v13) | ( ~ (v13 = 0) & line(v10) = v13))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (intersection_point(v10, v11) = v12) | ? [v13] : ((v13 = 0 & point(v12) = 0) | ( ~ (v13 = 0) & line(v11) = v13) | ( ~ (v13 = 0) & line(v10) = v13) | ( ~ (v13 = 0) & convergent_lines(v10, v11) = v13))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (intersection_point(v10, v11) = v12) | ? [v13] : (( ~ (v13 = 0) & apart_point_and_line(v12, v11) = v13) | ( ~ (v13 = 0) & convergent_lines(v10, v11) = v13))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (intersection_point(v10, v11) = v12) | ? [v13] : (( ~ (v13 = 0) & apart_point_and_line(v12, v10) = v13) | ( ~ (v13 = 0) & convergent_lines(v10, v11) = v13))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (line_connecting(v10, v11) = v12) | ? [v13] : ((v13 = 0 & line(v12) = 0) | ( ~ (v13 = 0) & point(v11) = v13) | ( ~ (v13 = 0) & point(v10) = v13) | ( ~ (v13 = 0) & distinct_points(v10, v11) = v13))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (line_connecting(v10, v11) = v12) | ? [v13] : (( ~ (v13 = 0) & apart_point_and_line(v11, v12) = v13) | ( ~ (v13 = 0) & distinct_points(v10, v11) = v13))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (line_connecting(v10, v11) = v12) | ? [v13] : (( ~ (v13 = 0) & apart_point_and_line(v10, v12) = v13) | ( ~ (v13 = 0) & distinct_points(v10, v11) = v13))) & ! [v10] : ! [v11] : ( ~ (orthogonal_lines(v10, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & unorthogonal_lines(v10, v11) = v12)) & ! [v10] : ! [v11] : ( ~ (incident_point_and_line(v10, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & apart_point_and_line(v10, v11) = v12)) & ! [v10] : ! [v11] : ( ~ (parallel_lines(v10, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & convergent_lines(v10, v11) = v12)) & ! [v10] : ! [v11] : ( ~ (equal_lines(v10, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & distinct_lines(v10, v11) = v12)) & ! [v10] : ! [v11] : ( ~ (equal_points(v10, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & distinct_points(v10, v11) = v12)) & ! [v10] : ! [v11] : ( ~ (unorthogonal_lines(v10, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & orthogonal_lines(v10, v11) = v12)) & ! [v10] : ! [v11] : ( ~ (apart_point_and_line(v10, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & incident_point_and_line(v10, v11) = v12)) & ! [v10] : ! [v11] : ( ~ (convergent_lines(v10, v11) = 0) | ? [v12] : ? [v13] : ( ~ (v13 = 0) & intersection_point(v10, v11) = v12 & apart_point_and_line(v12, v11) = v13)) & ! [v10] : ! [v11] : ( ~ (convergent_lines(v10, v11) = 0) | ? [v12] : ? [v13] : ( ~ (v13 = 0) & intersection_point(v10, v11) = v12 & apart_point_and_line(v12, v10) = v13)) & ! [v10] : ! [v11] : ( ~ (convergent_lines(v10, v11) = 0) | ? [v12] : ? [v13] : ((v13 = 0 & point(v12) = 0 & intersection_point(v10, v11) = v12) | ( ~ (v12 = 0) & line(v11) = v12) | ( ~ (v12 = 0) & line(v10) = v12))) & ! [v10] : ! [v11] : ( ~ (convergent_lines(v10, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & parallel_lines(v10, v11) = v12)) & ! [v10] : ! [v11] : ( ~ (distinct_lines(v10, v11) = 0) | convergent_lines(v10, v11) = 0) & ! [v10] : ! [v11] : ( ~ (distinct_lines(v10, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & equal_lines(v10, v11) = v12)) & ! [v10] : ! [v11] : ( ~ (distinct_points(v10, v11) = 0) | ? [v12] : ? [v13] : ( ~ (v13 = 0) & line_connecting(v10, v11) = v12 & apart_point_and_line(v11, v12) = v13)) & ! [v10] : ! [v11] : ( ~ (distinct_points(v10, v11) = 0) | ? [v12] : ? [v13] : ( ~ (v13 = 0) & line_connecting(v10, v11) = v12 & apart_point_and_line(v10, v12) = v13)) & ! [v10] : ! [v11] : ( ~ (distinct_points(v10, v11) = 0) | ? [v12] : ? [v13] : ((v13 = 0 & line(v12) = 0 & line_connecting(v10, v11) = v12) | ( ~ (v12 = 0) & point(v11) = v12) | ( ~ (v12 = 0) & point(v10) = v12))) & ! [v10] : ! [v11] : ( ~ (distinct_points(v10, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & equal_points(v10, v11) = v12)) & ! [v10] : ~ (convergent_lines(v10, v10) = 0) & ! [v10] : ~ (distinct_lines(v10, v10) = 0) & ! [v10] : ~ (distinct_points(v10, v10) = 0) & ? [v10] : ? [v11] : ? [v12] : orthogonal_lines(v11, v10) = v12 & ? [v10] : ? [v11] : ? [v12] : incident_point_and_line(v11, v10) = v12 & ? [v10] : ? [v11] : ? [v12] : parallel_lines(v11, v10) = v12 & ? [v10] : ? [v11] : ? [v12] : equal_lines(v11, v10) = v12 & ? [v10] : ? [v11] : ? [v12] : equal_points(v11, v10) = v12 & ? [v10] : ? [v11] : ? [v12] : orthogonal_through_point(v11, v10) = v12 & ? [v10] : ? [v11] : ? [v12] : unorthogonal_lines(v11, v10) = v12 & ? [v10] : ? [v11] : ? [v12] : parallel_through_point(v11, v10) = v12 & ? [v10] : ? [v11] : ? [v12] : intersection_point(v11, v10) = v12 & ? [v10] : ? [v11] : ? [v12] : line_connecting(v11, v10) = v12 & ? [v10] : ? [v11] : ? [v12] : apart_point_and_line(v11, v10) = v12 & ? [v10] : ? [v11] : ? [v12] : convergent_lines(v11, v10) = v12 & ? [v10] : ? [v11] : ? [v12] : distinct_lines(v11, v10) = v12 & ? [v10] : ? [v11] : ? [v12] : distinct_points(v11, v10) = v12 & ? [v10] : ? [v11] : point(v10) = v11 & ? [v10] : ? [v11] : line(v10) = v11 & ((v6 = 0 & apart_point_and_line(v4, v3) = 0) | (v5 = 0 & apart_point_and_line(v4, v2) = 0)))
% 70.40/33.10 | 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, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9 yields:
% 70.40/33.10 | (1) ~ (all_0_0_0 = 0) & ~ (all_0_1_1 = 0) & intersection_point(all_0_7_7, all_0_6_6) = all_0_2_2 & intersection_point(all_0_9_9, all_0_8_8) = all_0_5_5 & apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0 & apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1 & convergent_lines(all_0_7_7, all_0_6_6) = 0 & convergent_lines(all_0_9_9, all_0_8_8) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v2, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_lines(v1, v2) = 0) | ? [v6] : ((v6 = 0 & unorthogonal_lines(v1, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v1) = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v2, v3) = v5) | ~ (apart_point_and_line(v0, v1) = v4) | ? [v6] : ((v6 = 0 & unorthogonal_lines(v1, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v2) = 0) | ( ~ (v6 = 0) & distinct_lines(v1, v2) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v1, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4) | ? [v6] : ((v6 = 0 & unorthogonal_lines(v2, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v1) = 0) | ( ~ (v6 = 0) & distinct_lines(v1, v2) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v1, v3) = v5) | ~ (apart_point_and_line(v0, v1) = v4) | ~ (distinct_lines(v1, v2) = 0) | ? [v6] : ((v6 = 0 & unorthogonal_lines(v2, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v2) = 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 | ~ (unorthogonal_lines(v0, v2) = v4) | ~ (unorthogonal_lines(v0, v1) = v3) | ? [v5] : ( ~ (v5 = 0) & convergent_lines(v1, v2) = v5)) & ! [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) | ~ (apart_point_and_line(v0, v1) = v3) | ? [v5] : ((v5 = 0 & convergent_lines(v1, v2) = 0) | ( ~ (v5 = 0) & distinct_lines(v1, v2) = 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 | ~ (apart_point_and_line(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = v4) | ? [v5] : ((v5 = 0 & apart_point_and_line(v0, v1) = 0) | ( ~ (v5 = 0) & distinct_lines(v1, v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v1) = v3) | ~ (convergent_lines(v1, v2) = v4) | ? [v5] : ((v5 = 0 & apart_point_and_line(v0, v2) = 0) | ( ~ (v5 = 0) & distinct_lines(v1, v2) = 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] : ! [v4] : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~ (unorthogonal_lines(v0, v2) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & convergent_lines(v1, v2) = 0) | (v5 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v0, v1) = v5) | ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & convergent_lines(v1, v2) = 0) | (v5 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v0, v1) = v5) | ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v0, v2) = v4) | ~ (unorthogonal_lines(v0, v1) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & convergent_lines(v0, v2) = 0) | (v5 = 0 & v3 = 0 & convergent_lines(v0, v1) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v1, v2) = v5) | ( ~ (v5 = 0) & convergent_lines(v1, v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v0, v2) = v4) | ~ (convergent_lines(v0, v1) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & convergent_lines(v0, v2) = 0) | (v5 = 0 & v3 = 0 & unorthogonal_lines(v0, v1) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v1, v2) = v5) | ( ~ (v5 = 0) & convergent_lines(v1, v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = v4) | ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0) | (v5 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v0, v1) = v5) | ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v0, v1) = v3) | ~ (convergent_lines(v0, v2) = v4) | ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0) | (v5 = 0 & v3 = 0 & convergent_lines(v0, v1) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v1, v2) = v5) | ( ~ (v5 = 0) & convergent_lines(v1, v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (convergent_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0) | (v5 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v0, v1) = v5) | ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (convergent_lines(v0, v2) = v4) | ~ (convergent_lines(v0, v1) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0) | (v5 = 0 & v3 = 0 & unorthogonal_lines(v0, v1) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v1, v2) = v5) | ( ~ (v5 = 0) & convergent_lines(v1, v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = 0) | unorthogonal_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unorthogonal_lines(v0, v1) = v3) | ~ (convergent_lines(v1, v2) = 0) | unorthogonal_lines(v0, v2) = 0) & ! [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, v2) = v3) | ~ (distinct_lines(v1, v2) = 0) | ? [v4] : ((v4 = 0 & apart_point_and_line(v0, v1) = 0) | (v4 = 0 & convergent_lines(v1, v2) = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (apart_point_and_line(v0, v1) = v3) | ~ (distinct_lines(v1, v2) = 0) | ? [v4] : ((v4 = 0 & apart_point_and_line(v0, v2) = 0) | (v4 = 0 & convergent_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 | ~ (orthogonal_lines(v3, v2) = v1) | ~ (orthogonal_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (incident_point_and_line(v3, v2) = v1) | ~ (incident_point_and_line(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (parallel_lines(v3, v2) = v1) | ~ (parallel_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_lines(v3, v2) = v1) | ~ (equal_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_points(v3, v2) = v1) | ~ (equal_points(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (orthogonal_through_point(v3, v2) = v1) | ~ (orthogonal_through_point(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unorthogonal_lines(v3, v2) = v1) | ~ (unorthogonal_lines(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~ (parallel_through_point(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (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] : ( ~ (unorthogonal_lines(v1, v2) = v3) | ~ (unorthogonal_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v1, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v0, v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v1, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v0, v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~ (unorthogonal_lines(v0, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v1) = 0 & convergent_lines(v0, v1) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~ (unorthogonal_lines(v0, v1) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v1) = 0) | ( ~ (v4 = 0) & convergent_lines(v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~ (convergent_lines(v0, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v1) = 0 & convergent_lines(v0, v1) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~ (convergent_lines(v0, v1) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v1) = 0) | ( ~ (v4 = 0) & convergent_lines(v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v2) = v3) | ~ (unorthogonal_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0 & convergent_lines(v1, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v0, v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v1) = 0 & convergent_lines(v0, v1) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0 & convergent_lines(v1, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v0, v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v1) = v3) | ~ (convergent_lines(v1, v2) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v1) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ~ (convergent_lines(v1, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v1, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v0, v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ~ (convergent_lines(v0, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0 & convergent_lines(v1, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v0, v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (convergent_lines(v1, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v1, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v0, v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (convergent_lines(v1, v2) = 0) | ~ (convergent_lines(v0, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v1) = 0 & convergent_lines(v0, v1) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (convergent_lines(v1, v2) = 0) | ~ (convergent_lines(v0, v1) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v1) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0 & convergent_lines(v1, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v0, v1) = v4))) & ! [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] : (v2 = 0 | ~ (orthogonal_lines(v0, v1) = v2) | unorthogonal_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (incident_point_and_line(v0, v1) = v2) | apart_point_and_line(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (parallel_lines(v0, v1) = v2) | convergent_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_lines(v0, v1) = v2) | distinct_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_points(v0, v1) = v2) | distinct_points(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unorthogonal_lines(v0, v1) = v2) | orthogonal_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unorthogonal_lines(v0, v1) = v2) | convergent_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (apart_point_and_line(v0, v1) = v2) | incident_point_and_line(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | parallel_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | unorthogonal_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & distinct_lines(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (distinct_lines(v0, v1) = v2) | equal_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (distinct_points(v0, v1) = v2) | equal_points(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (point(v2) = v1) | ~ (point(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (line(v2) = v1) | ~ (line(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (orthogonal_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & unorthogonal_lines(v2, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (orthogonal_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & apart_point_and_line(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (orthogonal_through_point(v0, v1) = v2) | ? [v3] : ((v3 = 0 & line(v2) = 0) | ( ~ (v3 = 0) & point(v1) = v3) | ( ~ (v3 = 0) & line(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & apart_point_and_line(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & convergent_lines(v2, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v0, v1) = v2) | ? [v3] : ((v3 = 0 & line(v2) = 0) | ( ~ (v3 = 0) & point(v1) = v3) | ( ~ (v3 = 0) & line(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection_point(v0, v1) = v2) | ? [v3] : ((v3 = 0 & point(v2) = 0) | ( ~ (v3 = 0) & line(v1) = v3) | ( ~ (v3 = 0) & line(v0) = v3) | ( ~ (v3 = 0) & convergent_lines(v0, v1) = v3))) & ! [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 & line(v2) = 0) | ( ~ (v3 = 0) & point(v1) = v3) | ( ~ (v3 = 0) & point(v0) = v3) | ( ~ (v3 = 0) & distinct_points(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] : ( ~ (orthogonal_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & unorthogonal_lines(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (incident_point_and_line(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & apart_point_and_line(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (parallel_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & convergent_lines(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (equal_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & distinct_lines(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (equal_points(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & distinct_points(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & orthogonal_lines(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (apart_point_and_line(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & incident_point_and_line(v0, v1) = v2)) & ! [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] : ( ~ (convergent_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ((v3 = 0 & point(v2) = 0 & intersection_point(v0, v1) = v2) | ( ~ (v2 = 0) & line(v1) = v2) | ( ~ (v2 = 0) & line(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & parallel_lines(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (distinct_lines(v0, v1) = 0) | convergent_lines(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (distinct_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equal_lines(v0, v1) = v2)) & ! [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] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ? [v3] : ((v3 = 0 & line(v2) = 0 & line_connecting(v0, v1) = v2) | ( ~ (v2 = 0) & point(v1) = v2) | ( ~ (v2 = 0) & point(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equal_points(v0, v1) = v2)) & ! [v0] : ~ (convergent_lines(v0, v0) = 0) & ! [v0] : ~ (distinct_lines(v0, v0) = 0) & ! [v0] : ~ (distinct_points(v0, v0) = 0) & ? [v0] : ? [v1] : ? [v2] : orthogonal_lines(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : incident_point_and_line(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : parallel_lines(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : equal_lines(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : equal_points(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : orthogonal_through_point(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : unorthogonal_lines(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : parallel_through_point(v1, v0) = v2 & ? [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 & ? [v0] : ? [v1] : point(v0) = v1 & ? [v0] : ? [v1] : line(v0) = v1 & ((all_0_3_3 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | (all_0_4_4 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0))
% 70.88/33.14 |
% 70.88/33.14 | Applying alpha-rule on (1) yields:
% 70.88/33.14 | (2) ! [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)))
% 70.88/33.15 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unorthogonal_lines(v0, v1) = v3) | ~ (convergent_lines(v1, v2) = 0) | unorthogonal_lines(v0, v2) = 0)
% 70.88/33.15 | (4) ! [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))
% 70.88/33.15 | (5) ? [v0] : ? [v1] : ? [v2] : convergent_lines(v1, v0) = v2
% 70.88/33.15 | (6) ? [v0] : ? [v1] : ? [v2] : incident_point_and_line(v1, v0) = v2
% 70.88/33.15 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v1) = v3) | ~ (convergent_lines(v1, v2) = v4) | ? [v5] : ((v5 = 0 & apart_point_and_line(v0, v2) = 0) | ( ~ (v5 = 0) & distinct_lines(v1, v2) = v5)))
% 70.88/33.15 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_points(v3, v2) = v1) | ~ (equal_points(v3, v2) = v0))
% 70.88/33.15 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0))
% 70.88/33.15 | (10) ! [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))
% 70.88/33.15 | (11) apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0
% 70.88/33.15 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v0, v1) = v3) | ~ (convergent_lines(v0, v2) = v4) | ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0) | (v5 = 0 & v3 = 0 & convergent_lines(v0, v1) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v1, v2) = v5) | ( ~ (v5 = 0) & convergent_lines(v1, v2) = v5)))
% 70.88/33.15 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~ (convergent_lines(v0, v1) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v1) = 0) | ( ~ (v4 = 0) & convergent_lines(v1, v2) = v4)))
% 70.88/33.15 | (14) ! [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)
% 70.88/33.15 | (15) ? [v0] : ? [v1] : ? [v2] : orthogonal_through_point(v1, v0) = v2
% 70.88/33.15 | (16) ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 & apart_point_and_line(v1, v2) = v3))
% 70.88/33.15 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0 & convergent_lines(v1, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v0, v1) = v4)))
% 70.88/33.15 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (apart_point_and_line(v0, v1) = v3) | ~ (distinct_lines(v1, v2) = 0) | ? [v4] : ((v4 = 0 & apart_point_and_line(v0, v2) = 0) | (v4 = 0 & convergent_lines(v1, v2) = 0)))
% 70.88/33.15 | (19) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (point(v2) = v1) | ~ (point(v2) = v0))
% 70.88/33.15 | (20) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unorthogonal_lines(v0, v1) = v2) | orthogonal_lines(v0, v1) = 0)
% 70.88/33.15 | (21) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (orthogonal_lines(v0, v1) = v2) | unorthogonal_lines(v0, v1) = 0)
% 70.88/33.15 | (22) ? [v0] : ? [v1] : ? [v2] : orthogonal_lines(v1, v0) = v2
% 70.88/33.15 | (23) ! [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))
% 70.88/33.15 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (apart_point_and_line(v0, v2) = v3) | ~ (distinct_lines(v1, v2) = 0) | ? [v4] : ((v4 = 0 & apart_point_and_line(v0, v1) = 0) | (v4 = 0 & convergent_lines(v1, v2) = 0)))
% 70.88/33.15 | (25) ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v1) = v3))
% 70.88/33.15 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = 0) | unorthogonal_lines(v0, v1) = 0)
% 70.88/33.15 | (27) ! [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))
% 70.88/33.15 | (28) ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ? [v3] : ((v3 = 0 & line(v2) = 0 & line_connecting(v0, v1) = v2) | ( ~ (v2 = 0) & point(v1) = v2) | ( ~ (v2 = 0) & point(v0) = v2)))
% 70.88/33.15 | (29) ! [v0] : ~ (distinct_lines(v0, v0) = 0)
% 70.88/33.15 | (30) ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & apart_point_and_line(v0, v2) = v3))
% 70.88/33.15 | (31) ? [v0] : ? [v1] : point(v0) = v1
% 70.88/33.15 | (32) intersection_point(all_0_7_7, all_0_6_6) = all_0_2_2
% 70.88/33.15 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (convergent_lines(v1, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v1, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v0, v1) = v4)))
% 70.88/33.16 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = v4) | ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0) | (v5 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v0, v1) = v5) | ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5)))
% 70.88/33.16 | (35) (all_0_3_3 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | (all_0_4_4 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0)
% 70.88/33.16 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v0, v2) = v4) | ~ (convergent_lines(v0, v1) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & convergent_lines(v0, v2) = 0) | (v5 = 0 & v3 = 0 & unorthogonal_lines(v0, v1) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v1, v2) = v5) | ( ~ (v5 = 0) & convergent_lines(v1, v2) = v5)))
% 70.88/33.16 | (37) ! [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))
% 70.88/33.16 | (38) ! [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)))
% 70.88/33.16 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~ (unorthogonal_lines(v0, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v1) = 0 & convergent_lines(v0, v1) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v1, v2) = v4)))
% 70.88/33.16 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (convergent_lines(v1, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | convergent_lines(v0, v2) = 0)
% 70.88/33.16 | (41) ! [v0] : ~ (distinct_points(v0, v0) = 0)
% 70.88/33.16 | (42) convergent_lines(all_0_7_7, all_0_6_6) = 0
% 70.88/33.16 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v2, v3) = v5) | ~ (apart_point_and_line(v0, v1) = v4) | ? [v6] : ((v6 = 0 & unorthogonal_lines(v1, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v2) = 0) | ( ~ (v6 = 0) & distinct_lines(v1, v2) = v6)))
% 70.88/33.16 | (44) ! [v0] : ! [v1] : ! [v2] : ( ~ (intersection_point(v0, v1) = v2) | ? [v3] : ((v3 = 0 & point(v2) = 0) | ( ~ (v3 = 0) & line(v1) = v3) | ( ~ (v3 = 0) & line(v0) = v3) | ( ~ (v3 = 0) & convergent_lines(v0, v1) = v3)))
% 70.88/33.16 | (45) ! [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)))
% 70.88/33.16 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | convergent_lines(v1, v2) = 0)
% 70.88/33.16 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v1, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4) | ? [v6] : ((v6 = 0 & unorthogonal_lines(v2, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v1) = 0) | ( ~ (v6 = 0) & distinct_lines(v1, v2) = v6)))
% 70.88/33.16 | (48) ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & parallel_lines(v0, v1) = v2))
% 70.88/33.16 | (49) ! [v0] : ! [v1] : ( ~ (parallel_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & convergent_lines(v0, v1) = v2))
% 70.88/33.16 | (50) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (distinct_lines(v0, v1) = v2) | equal_lines(v0, v1) = 0)
% 70.88/33.16 | (51) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_lines(v0, v1) = v2) | distinct_lines(v0, v1) = 0)
% 70.88/33.16 | (52) ? [v0] : ? [v1] : line(v0) = v1
% 70.88/33.16 | (53) ? [v0] : ? [v1] : ? [v2] : distinct_points(v1, v0) = v2
% 70.88/33.16 | (54) apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1
% 70.88/33.16 | (55) ! [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)))
% 70.88/33.16 | (56) ? [v0] : ? [v1] : ? [v2] : distinct_lines(v1, v0) = v2
% 70.88/33.16 | (57) ? [v0] : ? [v1] : ? [v2] : equal_lines(v1, v0) = v2
% 70.88/33.16 | (58) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (line(v2) = v1) | ~ (line(v2) = v0))
% 70.88/33.16 | (59) ? [v0] : ? [v1] : ? [v2] : parallel_through_point(v1, v0) = v2
% 70.88/33.16 | (60) intersection_point(all_0_9_9, all_0_8_8) = all_0_5_5
% 70.88/33.16 | (61) ! [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)))
% 70.88/33.17 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & convergent_lines(v1, v2) = 0) | (v5 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v0, v1) = v5) | ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5)))
% 70.88/33.17 | (63) ~ (all_0_1_1 = 0)
% 70.88/33.17 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (convergent_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | distinct_lines(v1, v2) = 0)
% 70.88/33.17 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~ (convergent_lines(v0, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v1) = 0 & convergent_lines(v0, v1) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v1, v2) = v4)))
% 70.88/33.17 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (orthogonal_lines(v3, v2) = v1) | ~ (orthogonal_lines(v3, v2) = v0))
% 70.88/33.17 | (67) convergent_lines(all_0_9_9, all_0_8_8) = 0
% 70.88/33.17 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = 0) | ~ (unorthogonal_lines(v0, v1) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v1) = 0) | ( ~ (v4 = 0) & convergent_lines(v1, v2) = v4)))
% 70.88/33.17 | (69) ! [v0] : ! [v1] : ( ~ (distinct_lines(v0, v1) = 0) | convergent_lines(v0, v1) = 0)
% 70.88/33.17 | (70) ! [v0] : ! [v1] : ! [v2] : ( ~ (orthogonal_through_point(v0, v1) = v2) | ? [v3] : ((v3 = 0 & line(v2) = 0) | ( ~ (v3 = 0) & point(v1) = v3) | ( ~ (v3 = 0) & line(v0) = v3)))
% 70.88/33.17 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v1) = 0 & convergent_lines(v0, v1) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v1, v2) = v4)))
% 70.88/33.17 | (72) ? [v0] : ? [v1] : ? [v2] : apart_point_and_line(v1, v0) = v2
% 70.88/33.17 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (incident_point_and_line(v3, v2) = v1) | ~ (incident_point_and_line(v3, v2) = v0))
% 70.88/33.17 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v3) | ~ (convergent_lines(v1, v2) = v4) | ? [v5] : ((v5 = 0 & apart_point_and_line(v0, v1) = 0) | ( ~ (v5 = 0) & distinct_lines(v1, v2) = v5)))
% 70.88/33.17 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0))
% 70.88/33.17 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v1) = v3) | ~ (convergent_lines(v1, v2) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v1) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v1, v2) = v4)))
% 70.88/33.17 | (77) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & distinct_lines(v0, v1) = v3))
% 70.88/33.17 | (78) ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equal_points(v0, v1) = v2))
% 70.88/33.17 | (79) ! [v0] : ! [v1] : ( ~ (equal_points(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & distinct_points(v0, v1) = v2))
% 70.88/33.17 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (orthogonal_through_point(v3, v2) = v1) | ~ (orthogonal_through_point(v3, v2) = v0))
% 70.88/33.17 | (81) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | unorthogonal_lines(v0, v1) = 0)
% 70.88/33.17 | (82) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (unorthogonal_lines(v0, v1) = v2) | convergent_lines(v0, v1) = 0)
% 70.88/33.17 | (83) ? [v0] : ? [v1] : ? [v2] : line_connecting(v1, v0) = v2
% 70.88/33.17 | (84) ! [v0] : ! [v1] : ! [v2] : ( ~ (orthogonal_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & apart_point_and_line(v0, v2) = v3))
% 70.88/33.17 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ~ (convergent_lines(v0, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0 & convergent_lines(v1, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v0, v1) = v4)))
% 70.88/33.17 | (86) ! [v0] : ! [v1] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & orthogonal_lines(v0, v1) = v2))
% 70.88/33.17 | (87) ! [v0] : ! [v1] : ( ~ (orthogonal_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & unorthogonal_lines(v0, v1) = v2))
% 70.88/33.17 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (unorthogonal_lines(v0, v2) = v4) | ~ (unorthogonal_lines(v0, v1) = v3) | ? [v5] : ( ~ (v5 = 0) & convergent_lines(v1, v2) = v5))
% 70.88/33.17 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (convergent_lines(v1, v2) = 0) | ~ (convergent_lines(v0, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v1) = 0 & convergent_lines(v0, v1) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v1, v2) = v4)))
% 70.88/33.17 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v1, v2) = v3) | ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v0, v2) = 0)
% 70.88/33.18 | (91) ! [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)))
% 70.88/33.18 | (92) ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & convergent_lines(v2, v1) = v3))
% 70.88/33.18 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (convergent_lines(v1, v2) = v4) | ~ (convergent_lines(v0, v2) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0) | (v5 = 0 & v3 = 0 & unorthogonal_lines(v0, v2) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v0, v1) = v5) | ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5)))
% 70.88/33.18 | (94) ! [v0] : ~ (convergent_lines(v0, v0) = 0)
% 70.88/33.18 | (95) ! [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)))
% 70.88/33.18 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_lines(v0, v2) = v3) | ~ (distinct_lines(v0, v1) = 0) | distinct_lines(v1, v2) = 0)
% 70.88/33.18 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) = v0))
% 70.88/33.18 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v0, v2) = v4) | ~ (unorthogonal_lines(v0, v1) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & convergent_lines(v0, v2) = 0) | (v5 = 0 & v3 = 0 & convergent_lines(v0, v1) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v1, v2) = v5) | ( ~ (v5 = 0) & convergent_lines(v1, v2) = v5)))
% 70.88/33.18 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v1, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v0, v1) = v4)))
% 70.88/33.18 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v1, v2) = v3) | ~ (unorthogonal_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v1, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v0, v1) = v4)))
% 70.88/33.18 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = 0 | ~ (apart_point_and_line(v0, v2) = v4) | ~ (apart_point_and_line(v0, v1) = v3) | ? [v5] : ((v5 = 0 & convergent_lines(v1, v2) = 0) | ( ~ (v5 = 0) & distinct_lines(v1, v2) = v5)))
% 70.88/33.18 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v1, v3) = v5) | ~ (apart_point_and_line(v0, v1) = v4) | ~ (distinct_lines(v1, v2) = 0) | ? [v6] : ((v6 = 0 & unorthogonal_lines(v2, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v2) = 0)))
% 70.88/33.18 | (103) ! [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)))
% 70.88/33.18 | (104) ! [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)))
% 70.88/33.18 | (105) ? [v0] : ? [v1] : ? [v2] : parallel_lines(v1, v0) = v2
% 70.88/33.18 | (106) ! [v0] : ! [v1] : ( ~ (distinct_points(v0, v1) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & line_connecting(v0, v1) = v2 & apart_point_and_line(v0, v2) = v3))
% 70.88/33.18 | (107) ! [v0] : ! [v1] : ( ~ (distinct_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & equal_lines(v0, v1) = v2))
% 70.88/33.18 | (108) ! [v0] : ! [v1] : ( ~ (equal_lines(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & distinct_lines(v0, v1) = v2))
% 70.88/33.18 | (109) ! [v0] : ! [v1] : ! [v2] : ( ~ (parallel_through_point(v0, v1) = v2) | ? [v3] : ((v3 = 0 & line(v2) = 0) | ( ~ (v3 = 0) & point(v1) = v3) | ( ~ (v3 = 0) & line(v0) = v3)))
% 70.88/33.18 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v1, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | distinct_points(v0, v2) = 0)
% 70.88/33.18 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (convergent_lines(v1, v2) = 0) | ~ (convergent_lines(v0, v1) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v0, v1) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v1, v2) = v4)))
% 70.88/33.18 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v2, v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4) | ~ (distinct_lines(v1, v2) = 0) | ? [v6] : ((v6 = 0 & unorthogonal_lines(v1, v3) = 0) | (v6 = 0 & apart_point_and_line(v0, v1) = 0)))
% 70.88/33.18 | (113) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (distinct_points(v0, v1) = v2) | equal_points(v0, v1) = 0)
% 70.88/33.18 | (114) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_points(v0, v1) = v2) | distinct_points(v0, v1) = 0)
% 70.88/33.18 | (115) ! [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)))
% 70.88/33.18 | (116) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (apart_point_and_line(v0, v1) = v2) | incident_point_and_line(v0, v1) = 0)
% 70.88/33.18 | (117) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (incident_point_and_line(v0, v1) = v2) | apart_point_and_line(v0, v1) = 0)
% 70.88/33.18 | (118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (unorthogonal_lines(v1, v2) = v4) | ~ (unorthogonal_lines(v0, v2) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & convergent_lines(v1, v2) = 0) | (v5 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v0, v1) = v5) | ( ~ (v5 = 0) & convergent_lines(v0, v1) = v5)))
% 70.88/33.18 | (119) ! [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)
% 70.88/33.18 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ (convergent_lines(v3, v2) = v0))
% 70.88/33.18 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ (apart_point_and_line(v3, v2) = v0))
% 70.88/33.18 | (122) ! [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)
% 70.88/33.18 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (convergent_lines(v0, v1) = 0) | ~ (distinct_lines(v1, v2) = v3) | convergent_lines(v0, v2) = 0)
% 70.88/33.18 | (124) ? [v0] : ? [v1] : ? [v2] : intersection_point(v1, v0) = v2
% 70.88/33.18 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~ (parallel_through_point(v3, v2) = v0))
% 70.88/33.19 | (126) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0))
% 70.88/33.19 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unorthogonal_lines(v3, v2) = v1) | ~ (unorthogonal_lines(v3, v2) = v0))
% 70.88/33.19 | (128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_lines(v3, v2) = v1) | ~ (equal_lines(v3, v2) = v0))
% 70.88/33.19 | (129) ! [v0] : ! [v1] : ( ~ (apart_point_and_line(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & incident_point_and_line(v0, v1) = v2))
% 70.88/33.19 | (130) ! [v0] : ! [v1] : ( ~ (incident_point_and_line(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & apart_point_and_line(v0, v1) = v2))
% 70.88/33.19 | (131) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (convergent_lines(v0, v1) = v2) | parallel_lines(v0, v1) = 0)
% 70.88/33.19 | (132) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (parallel_lines(v0, v1) = v2) | convergent_lines(v0, v1) = 0)
% 70.88/33.19 | (133) ? [v0] : ? [v1] : ? [v2] : equal_points(v1, v0) = v2
% 70.88/33.19 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (convergent_lines(v0, v2) = v4) | ~ (convergent_lines(v0, v1) = v3) | ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0) | (v5 = 0 & v3 = 0 & unorthogonal_lines(v0, v1) = 0) | ( ~ (v5 = 0) & unorthogonal_lines(v1, v2) = v5) | ( ~ (v5 = 0) & convergent_lines(v1, v2) = v5)))
% 70.88/33.19 | (135) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (parallel_lines(v3, v2) = v1) | ~ (parallel_lines(v3, v2) = v0))
% 70.88/33.19 | (136) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v1) = 0) | ~ (convergent_lines(v1, v2) = v3) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v0, v2) = 0 & convergent_lines(v0, v2) = 0) | (v4 = 0 & v3 = 0 & unorthogonal_lines(v1, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v0, v1) = v4)))
% 70.88/33.19 | (137) ! [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))
% 70.88/33.19 | (138) ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ((v3 = 0 & point(v2) = 0 & intersection_point(v0, v1) = v2) | ( ~ (v2 = 0) & line(v1) = v2) | ( ~ (v2 = 0) & line(v0) = v2)))
% 70.88/33.19 | (139) ! [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)))
% 70.88/33.19 | (140) ~ (all_0_0_0 = 0)
% 70.88/33.19 | (141) ! [v0] : ! [v1] : ( ~ (convergent_lines(v0, v1) = 0) | ? [v2] : ? [v3] : ( ~ (v3 = 0) & intersection_point(v0, v1) = v2 & apart_point_and_line(v2, v0) = v3))
% 70.88/33.19 | (142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v2) = v3) | ~ (convergent_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0 & convergent_lines(v1, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v4 = 0) & unorthogonal_lines(v0, v1) = v4)))
% 70.88/33.19 | (143) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (unorthogonal_lines(v0, v2) = v3) | ~ (unorthogonal_lines(v0, v1) = 0) | ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & unorthogonal_lines(v1, v2) = 0 & convergent_lines(v1, v2) = 0) | (v4 = 0 & v3 = 0 & convergent_lines(v0, v2) = 0) | ( ~ (v4 = 0) & convergent_lines(v0, v1) = v4)))
% 70.88/33.19 | (144) ! [v0] : ! [v1] : ! [v2] : ( ~ (orthogonal_through_point(v1, v0) = v2) | ? [v3] : ( ~ (v3 = 0) & unorthogonal_lines(v2, v1) = v3))
% 70.88/33.19 | (145) ? [v0] : ? [v1] : ? [v2] : unorthogonal_lines(v1, v0) = v2
% 70.88/33.19 | (146) ! [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)
% 70.88/33.19 | (147) ! [v0] : ! [v1] : ! [v2] : ( ~ (line_connecting(v0, v1) = v2) | ? [v3] : ((v3 = 0 & line(v2) = 0) | ( ~ (v3 = 0) & point(v1) = v3) | ( ~ (v3 = 0) & point(v0) = v3) | ( ~ (v3 = 0) & distinct_points(v0, v1) = v3)))
% 70.88/33.19 | (148) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (distinct_points(v0, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | distinct_points(v1, v2) = 0)
% 70.88/33.19 |
% 70.88/33.19 | Instantiating formula (2) with all_0_2_2, all_0_6_6, all_0_7_7 and discharging atoms intersection_point(all_0_7_7, all_0_6_6) = all_0_2_2, yields:
% 70.88/33.19 | (149) ? [v0] : (( ~ (v0 = 0) & apart_point_and_line(all_0_2_2, all_0_6_6) = v0) | ( ~ (v0 = 0) & convergent_lines(all_0_7_7, all_0_6_6) = v0))
% 70.88/33.19 |
% 70.88/33.19 | Instantiating formula (45) with all_0_2_2, all_0_6_6, all_0_7_7 and discharging atoms intersection_point(all_0_7_7, all_0_6_6) = all_0_2_2, yields:
% 70.88/33.19 | (150) ? [v0] : (( ~ (v0 = 0) & apart_point_and_line(all_0_2_2, all_0_7_7) = v0) | ( ~ (v0 = 0) & convergent_lines(all_0_7_7, all_0_6_6) = v0))
% 70.88/33.19 |
% 70.88/33.19 | Instantiating formula (2) with all_0_5_5, all_0_8_8, all_0_9_9 and discharging atoms intersection_point(all_0_9_9, all_0_8_8) = all_0_5_5, yields:
% 70.88/33.19 | (151) ? [v0] : (( ~ (v0 = 0) & apart_point_and_line(all_0_5_5, all_0_8_8) = v0) | ( ~ (v0 = 0) & convergent_lines(all_0_9_9, all_0_8_8) = v0))
% 70.88/33.19 |
% 70.88/33.19 | Instantiating formula (45) with all_0_5_5, all_0_8_8, all_0_9_9 and discharging atoms intersection_point(all_0_9_9, all_0_8_8) = all_0_5_5, yields:
% 70.88/33.19 | (152) ? [v0] : (( ~ (v0 = 0) & apart_point_and_line(all_0_5_5, all_0_9_9) = v0) | ( ~ (v0 = 0) & convergent_lines(all_0_9_9, all_0_8_8) = v0))
% 70.88/33.19 |
% 70.88/33.19 | Instantiating formula (101) with all_0_0_0, all_0_0_0, all_0_8_8, all_0_8_8, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, yields:
% 70.88/33.19 | (153) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_8_8) = v0))
% 70.88/33.19 |
% 70.88/33.19 | Instantiating formula (104) with all_0_0_0, all_0_0_0, all_0_8_8, all_0_8_8, all_0_2_2, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, yields:
% 70.88/33.19 | (154) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 70.88/33.19 |
% 70.88/33.19 | Instantiating formula (101) with all_0_1_1, all_0_0_0, all_0_9_9, all_0_8_8, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, yields:
% 70.88/33.19 | (155) all_0_0_0 = 0 | all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0))
% 70.88/33.19 |
% 70.88/33.19 | Instantiating formula (101) with all_0_0_0, all_0_1_1, all_0_8_8, all_0_9_9, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, yields:
% 70.88/33.19 | (156) all_0_0_0 = 0 | all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0))
% 70.88/33.19 |
% 70.88/33.19 | Instantiating formula (104) with all_0_1_1, all_0_0_0, all_0_9_9, all_0_8_8, all_0_2_2, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, yields:
% 70.88/33.19 | (157) all_0_0_0 = 0 | all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 70.88/33.19 |
% 70.88/33.19 | Instantiating formula (104) with all_0_0_0, all_0_1_1, all_0_8_8, all_0_9_9, all_0_2_2, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, yields:
% 70.88/33.19 | (158) all_0_0_0 = 0 | all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 70.88/33.19 |
% 70.88/33.19 | Instantiating formula (101) with all_0_1_1, all_0_1_1, all_0_9_9, all_0_9_9, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, yields:
% 71.24/33.19 | (159) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_9_9) = v0))
% 71.24/33.20 |
% 71.24/33.20 | Instantiating formula (104) with all_0_1_1, all_0_1_1, all_0_9_9, all_0_9_9, all_0_2_2, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, yields:
% 71.24/33.20 | (160) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.20 |
% 71.24/33.20 | Instantiating formula (25) with all_0_6_6, all_0_7_7 and discharging atoms convergent_lines(all_0_7_7, all_0_6_6) = 0, yields:
% 71.24/33.20 | (161) ? [v0] : ? [v1] : ( ~ (v1 = 0) & intersection_point(all_0_7_7, all_0_6_6) = v0 & apart_point_and_line(v0, all_0_6_6) = v1)
% 71.24/33.20 |
% 71.24/33.20 | Instantiating formula (141) with all_0_6_6, all_0_7_7 and discharging atoms convergent_lines(all_0_7_7, all_0_6_6) = 0, yields:
% 71.24/33.20 | (162) ? [v0] : ? [v1] : ( ~ (v1 = 0) & intersection_point(all_0_7_7, all_0_6_6) = v0 & apart_point_and_line(v0, all_0_7_7) = v1)
% 71.24/33.20 |
% 71.24/33.20 | Instantiating formula (25) with all_0_8_8, all_0_9_9 and discharging atoms convergent_lines(all_0_9_9, all_0_8_8) = 0, yields:
% 71.24/33.20 | (163) ? [v0] : ? [v1] : ( ~ (v1 = 0) & intersection_point(all_0_9_9, all_0_8_8) = v0 & apart_point_and_line(v0, all_0_8_8) = v1)
% 71.24/33.20 |
% 71.24/33.20 | Instantiating formula (141) with all_0_8_8, all_0_9_9 and discharging atoms convergent_lines(all_0_9_9, all_0_8_8) = 0, yields:
% 71.24/33.20 | (164) ? [v0] : ? [v1] : ( ~ (v1 = 0) & intersection_point(all_0_9_9, all_0_8_8) = v0 & apart_point_and_line(v0, all_0_9_9) = v1)
% 71.24/33.20 |
% 71.24/33.20 | Instantiating (164) with all_43_0_59, all_43_1_60 yields:
% 71.24/33.20 | (165) ~ (all_43_0_59 = 0) & intersection_point(all_0_9_9, all_0_8_8) = all_43_1_60 & apart_point_and_line(all_43_1_60, all_0_9_9) = all_43_0_59
% 71.24/33.20 |
% 71.24/33.20 | Applying alpha-rule on (165) yields:
% 71.24/33.20 | (166) ~ (all_43_0_59 = 0)
% 71.24/33.20 | (167) intersection_point(all_0_9_9, all_0_8_8) = all_43_1_60
% 71.24/33.20 | (168) apart_point_and_line(all_43_1_60, all_0_9_9) = all_43_0_59
% 71.24/33.20 |
% 71.24/33.20 | Instantiating (152) with all_45_0_61 yields:
% 71.24/33.20 | (169) ( ~ (all_45_0_61 = 0) & apart_point_and_line(all_0_5_5, all_0_9_9) = all_45_0_61) | ( ~ (all_45_0_61 = 0) & convergent_lines(all_0_9_9, all_0_8_8) = all_45_0_61)
% 71.24/33.20 |
% 71.24/33.20 | Instantiating (150) with all_46_0_62 yields:
% 71.24/33.20 | (170) ( ~ (all_46_0_62 = 0) & apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62) | ( ~ (all_46_0_62 = 0) & convergent_lines(all_0_7_7, all_0_6_6) = all_46_0_62)
% 71.24/33.20 |
% 71.24/33.20 | Instantiating (163) with all_50_0_67, all_50_1_68 yields:
% 71.24/33.20 | (171) ~ (all_50_0_67 = 0) & intersection_point(all_0_9_9, all_0_8_8) = all_50_1_68 & apart_point_and_line(all_50_1_68, all_0_8_8) = all_50_0_67
% 71.24/33.20 |
% 71.24/33.20 | Applying alpha-rule on (171) yields:
% 71.24/33.20 | (172) ~ (all_50_0_67 = 0)
% 71.24/33.20 | (173) intersection_point(all_0_9_9, all_0_8_8) = all_50_1_68
% 71.24/33.20 | (174) apart_point_and_line(all_50_1_68, all_0_8_8) = all_50_0_67
% 71.24/33.20 |
% 71.24/33.20 | Instantiating (162) with all_54_0_72, all_54_1_73 yields:
% 71.24/33.20 | (175) ~ (all_54_0_72 = 0) & intersection_point(all_0_7_7, all_0_6_6) = all_54_1_73 & apart_point_and_line(all_54_1_73, all_0_7_7) = all_54_0_72
% 71.24/33.20 |
% 71.24/33.20 | Applying alpha-rule on (175) yields:
% 71.24/33.20 | (176) ~ (all_54_0_72 = 0)
% 71.24/33.20 | (177) intersection_point(all_0_7_7, all_0_6_6) = all_54_1_73
% 71.24/33.20 | (178) apart_point_and_line(all_54_1_73, all_0_7_7) = all_54_0_72
% 71.24/33.20 |
% 71.24/33.20 | Instantiating (161) with all_56_0_74, all_56_1_75 yields:
% 71.24/33.20 | (179) ~ (all_56_0_74 = 0) & intersection_point(all_0_7_7, all_0_6_6) = all_56_1_75 & apart_point_and_line(all_56_1_75, all_0_6_6) = all_56_0_74
% 71.24/33.20 |
% 71.24/33.20 | Applying alpha-rule on (179) yields:
% 71.24/33.20 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.20 | (181) intersection_point(all_0_7_7, all_0_6_6) = all_56_1_75
% 71.24/33.20 | (182) apart_point_and_line(all_56_1_75, all_0_6_6) = all_56_0_74
% 71.24/33.20 |
% 71.24/33.20 | Instantiating (149) with all_63_0_82 yields:
% 71.24/33.20 | (183) ( ~ (all_63_0_82 = 0) & apart_point_and_line(all_0_2_2, all_0_6_6) = all_63_0_82) | ( ~ (all_63_0_82 = 0) & convergent_lines(all_0_7_7, all_0_6_6) = all_63_0_82)
% 71.24/33.20 |
% 71.24/33.20 | Instantiating (151) with all_64_0_83 yields:
% 71.24/33.20 | (184) ( ~ (all_64_0_83 = 0) & apart_point_and_line(all_0_5_5, all_0_8_8) = all_64_0_83) | ( ~ (all_64_0_83 = 0) & convergent_lines(all_0_9_9, all_0_8_8) = all_64_0_83)
% 71.24/33.20 |
% 71.24/33.20 +-Applying beta-rule and splitting (170), into two cases.
% 71.24/33.20 |-Branch one:
% 71.24/33.20 | (185) ~ (all_46_0_62 = 0) & apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62
% 71.24/33.20 |
% 71.24/33.20 | Applying alpha-rule on (185) yields:
% 71.24/33.20 | (186) ~ (all_46_0_62 = 0)
% 71.24/33.20 | (187) apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62
% 71.24/33.20 |
% 71.24/33.20 +-Applying beta-rule and splitting (153), into two cases.
% 71.24/33.20 |-Branch one:
% 71.24/33.20 | (188) all_0_0_0 = 0
% 71.24/33.20 |
% 71.24/33.20 | Equations (188) can reduce 140 to:
% 71.24/33.20 | (189) $false
% 71.24/33.20 |
% 71.24/33.20 |-The branch is then unsatisfiable
% 71.24/33.20 |-Branch two:
% 71.24/33.20 | (140) ~ (all_0_0_0 = 0)
% 71.24/33.20 | (191) ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_8_8) = v0))
% 71.24/33.20 |
% 71.24/33.20 +-Applying beta-rule and splitting (184), into two cases.
% 71.24/33.20 |-Branch one:
% 71.24/33.20 | (192) ~ (all_64_0_83 = 0) & apart_point_and_line(all_0_5_5, all_0_8_8) = all_64_0_83
% 71.24/33.20 |
% 71.24/33.20 | Applying alpha-rule on (192) yields:
% 71.24/33.20 | (193) ~ (all_64_0_83 = 0)
% 71.24/33.20 | (194) apart_point_and_line(all_0_5_5, all_0_8_8) = all_64_0_83
% 71.24/33.20 |
% 71.24/33.20 +-Applying beta-rule and splitting (183), into two cases.
% 71.24/33.20 |-Branch one:
% 71.24/33.20 | (195) ~ (all_63_0_82 = 0) & apart_point_and_line(all_0_2_2, all_0_6_6) = all_63_0_82
% 71.24/33.20 |
% 71.24/33.20 | Applying alpha-rule on (195) yields:
% 71.24/33.20 | (196) ~ (all_63_0_82 = 0)
% 71.24/33.20 | (197) apart_point_and_line(all_0_2_2, all_0_6_6) = all_63_0_82
% 71.24/33.20 |
% 71.24/33.20 +-Applying beta-rule and splitting (159), into two cases.
% 71.24/33.20 |-Branch one:
% 71.24/33.20 | (198) all_0_1_1 = 0
% 71.24/33.20 |
% 71.24/33.20 | Equations (198) can reduce 63 to:
% 71.24/33.20 | (189) $false
% 71.24/33.20 |
% 71.24/33.20 |-The branch is then unsatisfiable
% 71.24/33.20 |-Branch two:
% 71.24/33.20 | (63) ~ (all_0_1_1 = 0)
% 71.24/33.20 | (201) ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_9_9) = v0))
% 71.24/33.20 |
% 71.24/33.20 +-Applying beta-rule and splitting (169), into two cases.
% 71.24/33.20 |-Branch one:
% 71.24/33.20 | (202) ~ (all_45_0_61 = 0) & apart_point_and_line(all_0_5_5, all_0_9_9) = all_45_0_61
% 71.24/33.20 |
% 71.24/33.20 | Applying alpha-rule on (202) yields:
% 71.24/33.20 | (203) ~ (all_45_0_61 = 0)
% 71.24/33.20 | (204) apart_point_and_line(all_0_5_5, all_0_9_9) = all_45_0_61
% 71.24/33.20 |
% 71.24/33.20 +-Applying beta-rule and splitting (160), into two cases.
% 71.24/33.20 |-Branch one:
% 71.24/33.20 | (198) all_0_1_1 = 0
% 71.24/33.20 |
% 71.24/33.20 | Equations (198) can reduce 63 to:
% 71.24/33.20 | (189) $false
% 71.24/33.20 |
% 71.24/33.20 |-The branch is then unsatisfiable
% 71.24/33.20 |-Branch two:
% 71.24/33.20 | (63) ~ (all_0_1_1 = 0)
% 71.24/33.20 | (208) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.20 |
% 71.24/33.20 +-Applying beta-rule and splitting (154), into two cases.
% 71.24/33.20 |-Branch one:
% 71.24/33.20 | (188) all_0_0_0 = 0
% 71.24/33.20 |
% 71.24/33.20 | Equations (188) can reduce 140 to:
% 71.24/33.20 | (189) $false
% 71.24/33.20 |
% 71.24/33.20 |-The branch is then unsatisfiable
% 71.24/33.20 |-Branch two:
% 71.24/33.20 | (140) ~ (all_0_0_0 = 0)
% 71.24/33.20 | (212) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.20 |
% 71.24/33.20 +-Applying beta-rule and splitting (155), into two cases.
% 71.24/33.20 |-Branch one:
% 71.24/33.20 | (188) all_0_0_0 = 0
% 71.24/33.20 |
% 71.24/33.20 | Equations (188) can reduce 140 to:
% 71.24/33.20 | (189) $false
% 71.24/33.20 |
% 71.24/33.20 |-The branch is then unsatisfiable
% 71.24/33.20 |-Branch two:
% 71.24/33.20 | (140) ~ (all_0_0_0 = 0)
% 71.24/33.20 | (216) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0))
% 71.24/33.20 |
% 71.24/33.20 +-Applying beta-rule and splitting (156), into two cases.
% 71.24/33.20 |-Branch one:
% 71.24/33.20 | (188) all_0_0_0 = 0
% 71.24/33.20 |
% 71.24/33.20 | Equations (188) can reduce 140 to:
% 71.24/33.20 | (189) $false
% 71.24/33.20 |
% 71.24/33.20 |-The branch is then unsatisfiable
% 71.24/33.20 |-Branch two:
% 71.24/33.20 | (140) ~ (all_0_0_0 = 0)
% 71.24/33.20 | (220) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0))
% 71.24/33.20 |
% 71.24/33.20 +-Applying beta-rule and splitting (157), into two cases.
% 71.24/33.20 |-Branch one:
% 71.24/33.20 | (188) all_0_0_0 = 0
% 71.24/33.20 |
% 71.24/33.20 | Equations (188) can reduce 140 to:
% 71.24/33.20 | (189) $false
% 71.24/33.20 |
% 71.24/33.20 |-The branch is then unsatisfiable
% 71.24/33.20 |-Branch two:
% 71.24/33.20 | (140) ~ (all_0_0_0 = 0)
% 71.24/33.20 | (224) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.20 |
% 71.24/33.20 +-Applying beta-rule and splitting (158), into two cases.
% 71.24/33.20 |-Branch one:
% 71.24/33.20 | (188) all_0_0_0 = 0
% 71.24/33.20 |
% 71.24/33.20 | Equations (188) can reduce 140 to:
% 71.24/33.20 | (189) $false
% 71.24/33.20 |
% 71.24/33.20 |-The branch is then unsatisfiable
% 71.24/33.20 |-Branch two:
% 71.24/33.20 | (140) ~ (all_0_0_0 = 0)
% 71.24/33.20 | (228) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.20 |
% 71.24/33.20 +-Applying beta-rule and splitting (216), into two cases.
% 71.24/33.20 |-Branch one:
% 71.24/33.20 | (198) all_0_1_1 = 0
% 71.24/33.20 |
% 71.24/33.20 | Equations (198) can reduce 63 to:
% 71.24/33.20 | (189) $false
% 71.24/33.21 |
% 71.24/33.21 |-The branch is then unsatisfiable
% 71.24/33.21 |-Branch two:
% 71.24/33.21 | (63) ~ (all_0_1_1 = 0)
% 71.24/33.21 | (232) ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0))
% 71.24/33.21 |
% 71.24/33.21 +-Applying beta-rule and splitting (220), into two cases.
% 71.24/33.21 |-Branch one:
% 71.24/33.21 | (198) all_0_1_1 = 0
% 71.24/33.21 |
% 71.24/33.21 | Equations (198) can reduce 63 to:
% 71.24/33.21 | (189) $false
% 71.24/33.21 |
% 71.24/33.21 |-The branch is then unsatisfiable
% 71.24/33.21 |-Branch two:
% 71.24/33.21 | (63) ~ (all_0_1_1 = 0)
% 71.24/33.21 | (236) ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0))
% 71.24/33.21 |
% 71.24/33.21 +-Applying beta-rule and splitting (224), into two cases.
% 71.24/33.21 |-Branch one:
% 71.24/33.21 | (198) all_0_1_1 = 0
% 71.24/33.21 |
% 71.24/33.21 | Equations (198) can reduce 63 to:
% 71.24/33.21 | (189) $false
% 71.24/33.21 |
% 71.24/33.21 |-The branch is then unsatisfiable
% 71.24/33.21 |-Branch two:
% 71.24/33.21 | (63) ~ (all_0_1_1 = 0)
% 71.24/33.21 | (240) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.21 |
% 71.24/33.21 +-Applying beta-rule and splitting (228), into two cases.
% 71.24/33.21 |-Branch one:
% 71.24/33.21 | (198) all_0_1_1 = 0
% 71.24/33.21 |
% 71.24/33.21 | Equations (198) can reduce 63 to:
% 71.24/33.21 | (189) $false
% 71.24/33.21 |
% 71.24/33.21 |-The branch is then unsatisfiable
% 71.24/33.21 |-Branch two:
% 71.24/33.21 | (63) ~ (all_0_1_1 = 0)
% 71.24/33.21 | (244) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.21 |
% 71.24/33.21 | Instantiating formula (126) with all_0_7_7, all_0_6_6, all_56_1_75, all_0_2_2 and discharging atoms intersection_point(all_0_7_7, all_0_6_6) = all_56_1_75, intersection_point(all_0_7_7, all_0_6_6) = all_0_2_2, yields:
% 71.24/33.21 | (245) all_56_1_75 = all_0_2_2
% 71.24/33.21 |
% 71.24/33.21 | Instantiating formula (126) with all_0_7_7, all_0_6_6, all_54_1_73, all_56_1_75 and discharging atoms intersection_point(all_0_7_7, all_0_6_6) = all_56_1_75, intersection_point(all_0_7_7, all_0_6_6) = all_54_1_73, yields:
% 71.24/33.21 | (246) all_56_1_75 = all_54_1_73
% 71.24/33.21 |
% 71.24/33.21 | Instantiating formula (126) with all_0_9_9, all_0_8_8, all_50_1_68, all_0_5_5 and discharging atoms intersection_point(all_0_9_9, all_0_8_8) = all_50_1_68, intersection_point(all_0_9_9, all_0_8_8) = all_0_5_5, yields:
% 71.24/33.21 | (247) all_50_1_68 = all_0_5_5
% 71.24/33.21 |
% 71.24/33.21 | Instantiating formula (126) with all_0_9_9, all_0_8_8, all_43_1_60, all_50_1_68 and discharging atoms intersection_point(all_0_9_9, all_0_8_8) = all_50_1_68, intersection_point(all_0_9_9, all_0_8_8) = all_43_1_60, yields:
% 71.24/33.21 | (248) all_50_1_68 = all_43_1_60
% 71.24/33.21 |
% 71.24/33.21 | Combining equations (245,246) yields a new equation:
% 71.24/33.21 | (249) all_54_1_73 = all_0_2_2
% 71.24/33.21 |
% 71.24/33.21 | Combining equations (248,247) yields a new equation:
% 71.24/33.21 | (250) all_43_1_60 = all_0_5_5
% 71.24/33.21 |
% 71.24/33.21 | Simplifying 250 yields:
% 71.24/33.21 | (251) all_43_1_60 = all_0_5_5
% 71.24/33.21 |
% 71.24/33.21 | Combining equations (249,246) yields a new equation:
% 71.24/33.21 | (245) all_56_1_75 = all_0_2_2
% 71.24/33.21 |
% 71.24/33.21 | From (245) and (182) follows:
% 71.24/33.21 | (253) apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74
% 71.24/33.21 |
% 71.24/33.21 | From (249) and (178) follows:
% 71.24/33.21 | (254) apart_point_and_line(all_0_2_2, all_0_7_7) = all_54_0_72
% 71.24/33.21 |
% 71.24/33.21 | From (247) and (174) follows:
% 71.24/33.21 | (255) apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67
% 71.24/33.21 |
% 71.24/33.21 | From (251) and (168) follows:
% 71.24/33.21 | (256) apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59
% 71.24/33.21 |
% 71.24/33.21 | Instantiating formula (121) with all_0_2_2, all_0_6_6, all_56_0_74, all_63_0_82 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_63_0_82, apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, yields:
% 71.24/33.21 | (257) all_63_0_82 = all_56_0_74
% 71.24/33.21 |
% 71.24/33.21 | Instantiating formula (121) with all_0_2_2, all_0_7_7, all_54_0_72, all_46_0_62 and discharging atoms apart_point_and_line(all_0_2_2, all_0_7_7) = all_54_0_72, apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, yields:
% 71.24/33.21 | (258) all_54_0_72 = all_46_0_62
% 71.24/33.21 |
% 71.24/33.21 | Instantiating formula (121) with all_0_5_5, all_0_8_8, all_50_0_67, all_64_0_83 and discharging atoms apart_point_and_line(all_0_5_5, all_0_8_8) = all_64_0_83, apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, yields:
% 71.24/33.21 | (259) all_64_0_83 = all_50_0_67
% 71.24/33.21 |
% 71.24/33.21 | Instantiating formula (121) with all_0_5_5, all_0_9_9, all_43_0_59, all_45_0_61 and discharging atoms apart_point_and_line(all_0_5_5, all_0_9_9) = all_45_0_61, apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, yields:
% 71.24/33.21 | (260) all_45_0_61 = all_43_0_59
% 71.24/33.21 |
% 71.24/33.21 | Equations (259) can reduce 193 to:
% 71.24/33.21 | (172) ~ (all_50_0_67 = 0)
% 71.24/33.21 |
% 71.24/33.21 | Equations (257) can reduce 196 to:
% 71.24/33.21 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.21 |
% 71.24/33.21 | Equations (258) can reduce 176 to:
% 71.24/33.21 | (186) ~ (all_46_0_62 = 0)
% 71.24/33.21 |
% 71.24/33.21 | Equations (260) can reduce 203 to:
% 71.24/33.21 | (166) ~ (all_43_0_59 = 0)
% 71.24/33.21 |
% 71.24/33.21 | From (257) and (197) follows:
% 71.24/33.21 | (253) apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74
% 71.24/33.21 |
% 71.24/33.21 | From (258) and (254) follows:
% 71.24/33.21 | (187) apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62
% 71.24/33.21 |
% 71.24/33.21 | From (259) and (194) follows:
% 71.24/33.21 | (255) apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67
% 71.24/33.21 |
% 71.24/33.21 | From (260) and (204) follows:
% 71.24/33.21 | (256) apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59
% 71.24/33.21 |
% 71.24/33.21 | Instantiating formula (101) with all_56_0_74, all_0_0_0, all_0_6_6, all_0_8_8, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, yields:
% 71.24/33.21 | (269) all_56_0_74 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_6_6) = v0))
% 71.24/33.21 |
% 71.24/33.21 | Instantiating formula (101) with all_0_0_0, all_56_0_74, all_0_8_8, all_0_6_6, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, yields:
% 71.24/33.21 | (270) all_56_0_74 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_6_6, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_8_8) = v0))
% 71.24/33.21 |
% 71.24/33.21 | Instantiating formula (104) with all_56_0_74, all_0_0_0, all_0_6_6, all_0_8_8, all_0_2_2, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, yields:
% 71.24/33.21 | (271) all_56_0_74 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.21 |
% 71.24/33.21 | Instantiating formula (104) with all_0_0_0, all_56_0_74, all_0_8_8, all_0_6_6, all_0_2_2, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, yields:
% 71.24/33.21 | (272) all_56_0_74 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.21 |
% 71.24/33.21 | Instantiating formula (101) with all_56_0_74, all_0_1_1, all_0_6_6, all_0_9_9, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, yields:
% 71.24/33.21 | (273) all_56_0_74 = 0 | all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_6_6) = v0))
% 71.24/33.21 |
% 71.24/33.21 | Instantiating formula (101) with all_0_1_1, all_56_0_74, all_0_9_9, all_0_6_6, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, yields:
% 71.24/33.21 | (274) all_56_0_74 = 0 | all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_6_6, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_9_9) = v0))
% 71.24/33.21 |
% 71.24/33.21 | Instantiating formula (104) with all_56_0_74, all_0_1_1, all_0_6_6, all_0_9_9, all_0_2_2, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, yields:
% 71.24/33.21 | (275) all_56_0_74 = 0 | all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.21 |
% 71.24/33.21 | Instantiating formula (104) with all_0_1_1, all_56_0_74, all_0_9_9, all_0_6_6, all_0_2_2, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, yields:
% 71.24/33.21 | (276) all_56_0_74 = 0 | all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.21 |
% 71.24/33.21 | Instantiating formula (101) with all_56_0_74, all_56_0_74, all_0_6_6, all_0_6_6, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, yields:
% 71.24/33.21 | (277) all_56_0_74 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_6_6, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_6_6) = v0))
% 71.24/33.21 |
% 71.24/33.21 | Instantiating formula (104) with all_56_0_74, all_56_0_74, all_0_6_6, all_0_6_6, all_0_2_2, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, yields:
% 71.24/33.21 | (278) all_56_0_74 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (101) with all_46_0_62, all_0_0_0, all_0_7_7, all_0_8_8, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, yields:
% 71.24/33.22 | (279) all_46_0_62 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_7_7) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (101) with all_0_0_0, all_46_0_62, all_0_8_8, all_0_7_7, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, yields:
% 71.24/33.22 | (280) all_46_0_62 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_7_7, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_8_8) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (104) with all_46_0_62, all_0_0_0, all_0_7_7, all_0_8_8, all_0_2_2, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, yields:
% 71.24/33.22 | (281) all_46_0_62 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (104) with all_0_0_0, all_46_0_62, all_0_8_8, all_0_7_7, all_0_2_2, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, yields:
% 71.24/33.22 | (282) all_46_0_62 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (101) with all_46_0_62, all_0_1_1, all_0_7_7, all_0_9_9, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, yields:
% 71.24/33.22 | (283) all_46_0_62 = 0 | all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_7_7) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (101) with all_0_1_1, all_46_0_62, all_0_9_9, all_0_7_7, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, yields:
% 71.24/33.22 | (284) all_46_0_62 = 0 | all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_7_7, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_9_9) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (104) with all_46_0_62, all_0_1_1, all_0_7_7, all_0_9_9, all_0_2_2, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, yields:
% 71.24/33.22 | (285) all_46_0_62 = 0 | all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (104) with all_0_1_1, all_46_0_62, all_0_9_9, all_0_7_7, all_0_2_2, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, yields:
% 71.24/33.22 | (286) all_46_0_62 = 0 | all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (101) with all_46_0_62, all_56_0_74, all_0_7_7, all_0_6_6, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, yields:
% 71.24/33.22 | (287) all_56_0_74 = 0 | all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_6_6, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_7_7) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (101) with all_56_0_74, all_46_0_62, all_0_6_6, all_0_7_7, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, yields:
% 71.24/33.22 | (288) all_56_0_74 = 0 | all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_7_7, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_6_6) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (104) with all_46_0_62, all_56_0_74, all_0_7_7, all_0_6_6, all_0_2_2, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, yields:
% 71.24/33.22 | (289) all_56_0_74 = 0 | all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (104) with all_56_0_74, all_46_0_62, all_0_6_6, all_0_7_7, all_0_2_2, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, yields:
% 71.24/33.22 | (290) all_56_0_74 = 0 | all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (101) with all_46_0_62, all_46_0_62, all_0_7_7, all_0_7_7, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, yields:
% 71.24/33.22 | (291) all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_7_7, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_7_7) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (104) with all_46_0_62, all_46_0_62, all_0_7_7, all_0_7_7, all_0_2_2, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, yields:
% 71.24/33.22 | (292) all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (104) with all_50_0_67, all_0_0_0, all_0_8_8, all_0_8_8, all_0_5_5, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, yields:
% 71.24/33.22 | (293) all_50_0_67 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (104) with all_0_0_0, all_50_0_67, all_0_8_8, all_0_8_8, all_0_2_2, all_0_5_5 and discharging atoms apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, yields:
% 71.24/33.22 | (294) all_50_0_67 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (104) with all_50_0_67, all_0_1_1, all_0_8_8, all_0_9_9, all_0_5_5, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, yields:
% 71.24/33.22 | (295) all_50_0_67 = 0 | all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (104) with all_0_1_1, all_50_0_67, all_0_9_9, all_0_8_8, all_0_2_2, all_0_5_5 and discharging atoms apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, yields:
% 71.24/33.22 | (296) all_50_0_67 = 0 | all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (139) with all_50_0_67, all_0_1_1, all_0_9_9, all_0_8_8, all_0_5_5, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, yields:
% 71.24/33.22 | (297) all_50_0_67 = 0 | all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (139) with all_0_1_1, all_50_0_67, all_0_8_8, all_0_9_9, all_0_2_2, all_0_5_5 and discharging atoms apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, yields:
% 71.24/33.22 | (298) all_50_0_67 = 0 | all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (104) with all_50_0_67, all_56_0_74, all_0_8_8, all_0_6_6, all_0_5_5, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, yields:
% 71.24/33.22 | (299) all_56_0_74 = 0 | all_50_0_67 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (104) with all_56_0_74, all_50_0_67, all_0_6_6, all_0_8_8, all_0_2_2, all_0_5_5 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, yields:
% 71.24/33.22 | (300) all_56_0_74 = 0 | all_50_0_67 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (139) with all_50_0_67, all_56_0_74, all_0_6_6, all_0_8_8, all_0_5_5, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, yields:
% 71.24/33.22 | (301) all_56_0_74 = 0 | all_50_0_67 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (139) with all_56_0_74, all_50_0_67, all_0_8_8, all_0_6_6, all_0_2_2, all_0_5_5 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, yields:
% 71.24/33.22 | (302) all_56_0_74 = 0 | all_50_0_67 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (104) with all_50_0_67, all_46_0_62, all_0_8_8, all_0_7_7, all_0_5_5, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, yields:
% 71.24/33.22 | (303) all_50_0_67 = 0 | all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.22 |
% 71.24/33.22 | Instantiating formula (104) with all_46_0_62, all_50_0_67, all_0_7_7, all_0_8_8, all_0_2_2, all_0_5_5 and discharging atoms apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, yields:
% 71.24/33.22 | (304) all_50_0_67 = 0 | all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.22 |
% 71.24/33.23 | Instantiating formula (139) with all_50_0_67, all_46_0_62, all_0_7_7, all_0_8_8, all_0_5_5, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, yields:
% 71.24/33.23 | (305) all_50_0_67 = 0 | all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (139) with all_46_0_62, all_50_0_67, all_0_8_8, all_0_7_7, all_0_2_2, all_0_5_5 and discharging atoms apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, yields:
% 71.24/33.23 | (306) all_50_0_67 = 0 | all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (101) with all_50_0_67, all_50_0_67, all_0_8_8, all_0_8_8, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, yields:
% 71.24/33.23 | (307) all_50_0_67 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_8_8) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (104) with all_50_0_67, all_50_0_67, all_0_8_8, all_0_8_8, all_0_5_5, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, yields:
% 71.24/33.23 | (308) all_50_0_67 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (104) with all_43_0_59, all_0_0_0, all_0_9_9, all_0_8_8, all_0_5_5, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, yields:
% 71.24/33.23 | (309) all_43_0_59 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (104) with all_0_0_0, all_43_0_59, all_0_8_8, all_0_9_9, all_0_2_2, all_0_5_5 and discharging atoms apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, yields:
% 71.24/33.23 | (310) all_43_0_59 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (139) with all_43_0_59, all_0_0_0, all_0_8_8, all_0_9_9, all_0_5_5, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, yields:
% 71.24/33.23 | (311) all_43_0_59 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (139) with all_0_0_0, all_43_0_59, all_0_9_9, all_0_8_8, all_0_2_2, all_0_5_5 and discharging atoms apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, yields:
% 71.24/33.23 | (312) all_43_0_59 = 0 | all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (104) with all_43_0_59, all_0_1_1, all_0_9_9, all_0_9_9, all_0_5_5, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, yields:
% 71.24/33.23 | (313) all_43_0_59 = 0 | all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (104) with all_0_1_1, all_43_0_59, all_0_9_9, all_0_9_9, all_0_2_2, all_0_5_5 and discharging atoms apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, yields:
% 71.24/33.23 | (314) all_43_0_59 = 0 | all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (104) with all_43_0_59, all_56_0_74, all_0_9_9, all_0_6_6, all_0_5_5, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, yields:
% 71.24/33.23 | (315) all_56_0_74 = 0 | all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (104) with all_56_0_74, all_43_0_59, all_0_6_6, all_0_9_9, all_0_2_2, all_0_5_5 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, yields:
% 71.24/33.23 | (316) all_56_0_74 = 0 | all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (139) with all_43_0_59, all_56_0_74, all_0_6_6, all_0_9_9, all_0_5_5, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, yields:
% 71.24/33.23 | (317) all_56_0_74 = 0 | all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (139) with all_56_0_74, all_43_0_59, all_0_9_9, all_0_6_6, all_0_2_2, all_0_5_5 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, yields:
% 71.24/33.23 | (318) all_56_0_74 = 0 | all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (104) with all_43_0_59, all_46_0_62, all_0_9_9, all_0_7_7, all_0_5_5, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, yields:
% 71.24/33.23 | (319) all_46_0_62 = 0 | all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (104) with all_46_0_62, all_43_0_59, all_0_7_7, all_0_9_9, all_0_2_2, all_0_5_5 and discharging atoms apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, yields:
% 71.24/33.23 | (320) all_46_0_62 = 0 | all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (139) with all_43_0_59, all_46_0_62, all_0_7_7, all_0_9_9, all_0_5_5, all_0_2_2 and discharging atoms apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, yields:
% 71.24/33.23 | (321) all_46_0_62 = 0 | all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (139) with all_46_0_62, all_43_0_59, all_0_9_9, all_0_7_7, all_0_2_2, all_0_5_5 and discharging atoms apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, yields:
% 71.24/33.23 | (322) all_46_0_62 = 0 | all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (101) with all_43_0_59, all_50_0_67, all_0_9_9, all_0_8_8, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, yields:
% 71.24/33.23 | (323) all_50_0_67 = 0 | all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (101) with all_50_0_67, all_43_0_59, all_0_8_8, all_0_9_9, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, yields:
% 71.24/33.23 | (324) all_50_0_67 = 0 | all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (104) with all_43_0_59, all_50_0_67, all_0_9_9, all_0_8_8, all_0_5_5, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, yields:
% 71.24/33.23 | (325) all_50_0_67 = 0 | all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (104) with all_50_0_67, all_43_0_59, all_0_8_8, all_0_9_9, all_0_5_5, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, yields:
% 71.24/33.23 | (326) all_50_0_67 = 0 | all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (101) with all_43_0_59, all_43_0_59, all_0_9_9, all_0_9_9, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, yields:
% 71.24/33.23 | (327) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_9_9) = v0))
% 71.24/33.23 |
% 71.24/33.23 | Instantiating formula (104) with all_43_0_59, all_43_0_59, all_0_9_9, all_0_9_9, all_0_5_5, all_0_5_5 and discharging atoms apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, yields:
% 71.24/33.23 | (328) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 71.24/33.23 |
% 71.24/33.23 +-Applying beta-rule and splitting (35), into two cases.
% 71.24/33.23 |-Branch one:
% 71.24/33.23 | (329) all_0_3_3 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0
% 71.24/33.23 |
% 71.24/33.23 | Applying alpha-rule on (329) yields:
% 71.24/33.23 | (330) all_0_3_3 = 0
% 71.24/33.23 | (331) apart_point_and_line(all_0_5_5, all_0_6_6) = 0
% 71.24/33.23 |
% 71.24/33.23 +-Applying beta-rule and splitting (291), into two cases.
% 71.24/33.23 |-Branch one:
% 71.24/33.23 | (332) all_46_0_62 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (332) can reduce 186 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (186) ~ (all_46_0_62 = 0)
% 71.24/33.24 | (335) ? [v0] : ((v0 = 0 & convergent_lines(all_0_7_7, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_7_7) = v0))
% 71.24/33.24 |
% 71.24/33.24 +-Applying beta-rule and splitting (327), into two cases.
% 71.24/33.24 |-Branch one:
% 71.24/33.24 | (336) all_43_0_59 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (336) can reduce 166 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (166) ~ (all_43_0_59 = 0)
% 71.24/33.24 | (201) ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_9_9) = v0))
% 71.24/33.24 |
% 71.24/33.24 +-Applying beta-rule and splitting (307), into two cases.
% 71.24/33.24 |-Branch one:
% 71.24/33.24 | (340) all_50_0_67 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (340) can reduce 172 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (172) ~ (all_50_0_67 = 0)
% 71.24/33.24 | (191) ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_8_8) = v0))
% 71.24/33.24 |
% 71.24/33.24 +-Applying beta-rule and splitting (277), into two cases.
% 71.24/33.24 |-Branch one:
% 71.24/33.24 | (344) all_56_0_74 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (344) can reduce 180 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.24 | (347) ? [v0] : ((v0 = 0 & convergent_lines(all_0_6_6, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_6_6) = v0))
% 71.24/33.24 |
% 71.24/33.24 +-Applying beta-rule and splitting (278), into two cases.
% 71.24/33.24 |-Branch one:
% 71.24/33.24 | (344) all_56_0_74 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (344) can reduce 180 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.24 | (351) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.24 |
% 71.24/33.24 +-Applying beta-rule and splitting (308), into two cases.
% 71.24/33.24 |-Branch one:
% 71.24/33.24 | (340) all_50_0_67 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (340) can reduce 172 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (172) ~ (all_50_0_67 = 0)
% 71.24/33.24 | (355) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 71.24/33.24 |
% 71.24/33.24 +-Applying beta-rule and splitting (328), into two cases.
% 71.24/33.24 |-Branch one:
% 71.24/33.24 | (336) all_43_0_59 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (336) can reduce 166 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (166) ~ (all_43_0_59 = 0)
% 71.24/33.24 | (359) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 71.24/33.24 |
% 71.24/33.24 +-Applying beta-rule and splitting (284), into two cases.
% 71.24/33.24 |-Branch one:
% 71.24/33.24 | (332) all_46_0_62 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (332) can reduce 186 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (186) ~ (all_46_0_62 = 0)
% 71.24/33.24 | (363) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_7_7, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_9_9) = v0))
% 71.24/33.24 |
% 71.24/33.24 +-Applying beta-rule and splitting (288), into two cases.
% 71.24/33.24 |-Branch one:
% 71.24/33.24 | (344) all_56_0_74 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (344) can reduce 180 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.24 | (367) all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_7_7, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_6_6) = v0))
% 71.24/33.24 |
% 71.24/33.24 +-Applying beta-rule and splitting (323), into two cases.
% 71.24/33.24 |-Branch one:
% 71.24/33.24 | (340) all_50_0_67 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (340) can reduce 172 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (172) ~ (all_50_0_67 = 0)
% 71.24/33.24 | (371) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0))
% 71.24/33.24 |
% 71.24/33.24 +-Applying beta-rule and splitting (324), into two cases.
% 71.24/33.24 |-Branch one:
% 71.24/33.24 | (340) all_50_0_67 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (340) can reduce 172 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (172) ~ (all_50_0_67 = 0)
% 71.24/33.24 | (375) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0))
% 71.24/33.24 |
% 71.24/33.24 +-Applying beta-rule and splitting (287), into two cases.
% 71.24/33.24 |-Branch one:
% 71.24/33.24 | (344) all_56_0_74 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (344) can reduce 180 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.24 | (379) all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_6_6, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_7_7) = v0))
% 71.24/33.24 |
% 71.24/33.24 +-Applying beta-rule and splitting (280), into two cases.
% 71.24/33.24 |-Branch one:
% 71.24/33.24 | (332) all_46_0_62 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (332) can reduce 186 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (186) ~ (all_46_0_62 = 0)
% 71.24/33.24 | (383) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_7_7, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_8_8) = v0))
% 71.24/33.24 |
% 71.24/33.24 +-Applying beta-rule and splitting (283), into two cases.
% 71.24/33.24 |-Branch one:
% 71.24/33.24 | (332) all_46_0_62 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (332) can reduce 186 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (186) ~ (all_46_0_62 = 0)
% 71.24/33.24 | (387) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_7_7) = v0))
% 71.24/33.24 |
% 71.24/33.24 +-Applying beta-rule and splitting (281), into two cases.
% 71.24/33.24 |-Branch one:
% 71.24/33.24 | (332) all_46_0_62 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (332) can reduce 186 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (186) ~ (all_46_0_62 = 0)
% 71.24/33.24 | (391) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.24 |
% 71.24/33.24 +-Applying beta-rule and splitting (286), into two cases.
% 71.24/33.24 |-Branch one:
% 71.24/33.24 | (332) all_46_0_62 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (332) can reduce 186 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (186) ~ (all_46_0_62 = 0)
% 71.24/33.24 | (395) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.24 |
% 71.24/33.24 +-Applying beta-rule and splitting (282), into two cases.
% 71.24/33.24 |-Branch one:
% 71.24/33.24 | (332) all_46_0_62 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (332) can reduce 186 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (186) ~ (all_46_0_62 = 0)
% 71.24/33.24 | (399) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.24 |
% 71.24/33.24 +-Applying beta-rule and splitting (290), into two cases.
% 71.24/33.24 |-Branch one:
% 71.24/33.24 | (344) all_56_0_74 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (344) can reduce 180 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.24 | (403) all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.24 |
% 71.24/33.24 +-Applying beta-rule and splitting (285), into two cases.
% 71.24/33.24 |-Branch one:
% 71.24/33.24 | (332) all_46_0_62 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (332) can reduce 186 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (186) ~ (all_46_0_62 = 0)
% 71.24/33.24 | (407) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.24 |
% 71.24/33.24 +-Applying beta-rule and splitting (299), into two cases.
% 71.24/33.24 |-Branch one:
% 71.24/33.24 | (344) all_56_0_74 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (344) can reduce 180 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.24 | (411) all_50_0_67 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.24 |
% 71.24/33.24 +-Applying beta-rule and splitting (289), into two cases.
% 71.24/33.24 |-Branch one:
% 71.24/33.24 | (344) all_56_0_74 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (344) can reduce 180 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.24 | (415) all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.24 |
% 71.24/33.24 +-Applying beta-rule and splitting (318), into two cases.
% 71.24/33.24 |-Branch one:
% 71.24/33.24 | (344) all_56_0_74 = 0
% 71.24/33.24 |
% 71.24/33.24 | Equations (344) can reduce 180 to:
% 71.24/33.24 | (189) $false
% 71.24/33.24 |
% 71.24/33.24 |-The branch is then unsatisfiable
% 71.24/33.24 |-Branch two:
% 71.24/33.24 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.24 | (419) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.24 |
% 71.24/33.25 +-Applying beta-rule and splitting (319), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (332) all_46_0_62 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (332) can reduce 186 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (186) ~ (all_46_0_62 = 0)
% 71.24/33.25 | (423) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (314), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (336) all_43_0_59 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (336) can reduce 166 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (166) ~ (all_43_0_59 = 0)
% 71.24/33.25 | (427) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (315), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (344) all_56_0_74 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (344) can reduce 180 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.25 | (431) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (326), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (340) all_50_0_67 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (340) can reduce 172 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (172) ~ (all_50_0_67 = 0)
% 71.24/33.25 | (435) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (309), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (336) all_43_0_59 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (336) can reduce 166 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (166) ~ (all_43_0_59 = 0)
% 71.24/33.25 | (439) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (310), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (336) all_43_0_59 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (336) can reduce 166 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (166) ~ (all_43_0_59 = 0)
% 71.24/33.25 | (443) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (316), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (344) all_56_0_74 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (344) can reduce 180 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.25 | (447) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (317), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (344) all_56_0_74 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (344) can reduce 180 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.25 | (451) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (320), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (332) all_46_0_62 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (332) can reduce 186 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (186) ~ (all_46_0_62 = 0)
% 71.24/33.25 | (455) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (311), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (336) all_43_0_59 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (336) can reduce 166 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (166) ~ (all_43_0_59 = 0)
% 71.24/33.25 | (459) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (312), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (336) all_43_0_59 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (336) can reduce 166 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (166) ~ (all_43_0_59 = 0)
% 71.24/33.25 | (463) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (313), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (336) all_43_0_59 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (336) can reduce 166 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (166) ~ (all_43_0_59 = 0)
% 71.24/33.25 | (467) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (300), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (344) all_56_0_74 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (344) can reduce 180 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.25 | (471) all_50_0_67 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (301), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (344) all_56_0_74 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (344) can reduce 180 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.25 | (475) all_50_0_67 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (322), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (332) all_46_0_62 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (332) can reduce 186 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (186) ~ (all_46_0_62 = 0)
% 71.24/33.25 | (479) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (321), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (332) all_46_0_62 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (332) can reduce 186 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (186) ~ (all_46_0_62 = 0)
% 71.24/33.25 | (483) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (293), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (340) all_50_0_67 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (340) can reduce 172 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (172) ~ (all_50_0_67 = 0)
% 71.24/33.25 | (487) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (294), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (340) all_50_0_67 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (340) can reduce 172 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (172) ~ (all_50_0_67 = 0)
% 71.24/33.25 | (491) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (302), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (344) all_56_0_74 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (344) can reduce 180 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.25 | (495) all_50_0_67 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (325), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (340) all_50_0_67 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (340) can reduce 172 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (172) ~ (all_50_0_67 = 0)
% 71.24/33.25 | (499) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (305), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (340) all_50_0_67 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (340) can reduce 172 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (172) ~ (all_50_0_67 = 0)
% 71.24/33.25 | (503) all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (303), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (340) all_50_0_67 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (340) can reduce 172 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (172) ~ (all_50_0_67 = 0)
% 71.24/33.25 | (507) all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.25 |
% 71.24/33.25 +-Applying beta-rule and splitting (304), into two cases.
% 71.24/33.25 |-Branch one:
% 71.24/33.25 | (340) all_50_0_67 = 0
% 71.24/33.25 |
% 71.24/33.25 | Equations (340) can reduce 172 to:
% 71.24/33.25 | (189) $false
% 71.24/33.25 |
% 71.24/33.25 |-The branch is then unsatisfiable
% 71.24/33.25 |-Branch two:
% 71.24/33.25 | (172) ~ (all_50_0_67 = 0)
% 71.24/33.25 | (511) all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (306), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (340) all_50_0_67 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (340) can reduce 172 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (172) ~ (all_50_0_67 = 0)
% 71.24/33.26 | (515) all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (269), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (344) all_56_0_74 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (344) can reduce 180 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.26 | (519) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_6_6) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (270), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (344) all_56_0_74 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (344) can reduce 180 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.26 | (523) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_6_6, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_8_8) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (273), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (344) all_56_0_74 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (344) can reduce 180 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.26 | (527) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_6_6) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (279), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (332) all_46_0_62 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (332) can reduce 186 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (186) ~ (all_46_0_62 = 0)
% 71.24/33.26 | (531) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_7_7) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (274), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (344) all_56_0_74 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (344) can reduce 180 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.26 | (535) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_6_6, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_9_9) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (271), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (344) all_56_0_74 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (344) can reduce 180 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.26 | (539) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (275), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (344) all_56_0_74 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (344) can reduce 180 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.26 | (543) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (276), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (344) all_56_0_74 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (344) can reduce 180 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.26 | (547) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (272), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (344) all_56_0_74 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (344) can reduce 180 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (180) ~ (all_56_0_74 = 0)
% 71.24/33.26 | (551) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (297), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (340) all_50_0_67 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (340) can reduce 172 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (172) ~ (all_50_0_67 = 0)
% 71.24/33.26 | (555) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (295), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (340) all_50_0_67 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (340) can reduce 172 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (172) ~ (all_50_0_67 = 0)
% 71.24/33.26 | (559) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (296), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (340) all_50_0_67 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (340) can reduce 172 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (172) ~ (all_50_0_67 = 0)
% 71.24/33.26 | (563) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (298), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (340) all_50_0_67 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (340) can reduce 172 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (172) ~ (all_50_0_67 = 0)
% 71.24/33.26 | (567) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (363), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (198) all_0_1_1 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (198) can reduce 63 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (63) ~ (all_0_1_1 = 0)
% 71.24/33.26 | (571) ? [v0] : ((v0 = 0 & convergent_lines(all_0_7_7, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_9_9) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (371), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (336) all_43_0_59 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (336) can reduce 166 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (166) ~ (all_43_0_59 = 0)
% 71.24/33.26 | (232) ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (375), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (336) all_43_0_59 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (336) can reduce 166 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (166) ~ (all_43_0_59 = 0)
% 71.24/33.26 | (236) ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (383), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (188) all_0_0_0 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (188) can reduce 140 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (140) ~ (all_0_0_0 = 0)
% 71.24/33.26 | (583) ? [v0] : ((v0 = 0 & convergent_lines(all_0_7_7, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_8_8) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (387), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (198) all_0_1_1 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (198) can reduce 63 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (63) ~ (all_0_1_1 = 0)
% 71.24/33.26 | (587) ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_7_7) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (391), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (188) all_0_0_0 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (188) can reduce 140 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (140) ~ (all_0_0_0 = 0)
% 71.24/33.26 | (591) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (395), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (198) all_0_1_1 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (198) can reduce 63 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (63) ~ (all_0_1_1 = 0)
% 71.24/33.26 | (595) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (399), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (188) all_0_0_0 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (188) can reduce 140 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (140) ~ (all_0_0_0 = 0)
% 71.24/33.26 | (599) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (407), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (198) all_0_1_1 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (198) can reduce 63 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (63) ~ (all_0_1_1 = 0)
% 71.24/33.26 | (603) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (411), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (340) all_50_0_67 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (340) can reduce 172 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (172) ~ (all_50_0_67 = 0)
% 71.24/33.26 | (607) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (419), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (336) all_43_0_59 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (336) can reduce 166 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (166) ~ (all_43_0_59 = 0)
% 71.24/33.26 | (611) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (423), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (336) all_43_0_59 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (336) can reduce 166 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (166) ~ (all_43_0_59 = 0)
% 71.24/33.26 | (615) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (427), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (198) all_0_1_1 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (198) can reduce 63 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (63) ~ (all_0_1_1 = 0)
% 71.24/33.26 | (619) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.26 |
% 71.24/33.26 +-Applying beta-rule and splitting (431), into two cases.
% 71.24/33.26 |-Branch one:
% 71.24/33.26 | (336) all_43_0_59 = 0
% 71.24/33.26 |
% 71.24/33.26 | Equations (336) can reduce 166 to:
% 71.24/33.26 | (189) $false
% 71.24/33.26 |
% 71.24/33.26 |-The branch is then unsatisfiable
% 71.24/33.26 |-Branch two:
% 71.24/33.26 | (166) ~ (all_43_0_59 = 0)
% 71.24/33.27 | (623) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.27 |
% 71.24/33.27 +-Applying beta-rule and splitting (435), into two cases.
% 71.24/33.27 |-Branch one:
% 71.24/33.27 | (336) all_43_0_59 = 0
% 71.24/33.27 |
% 71.24/33.27 | Equations (336) can reduce 166 to:
% 71.24/33.27 | (189) $false
% 71.24/33.27 |
% 71.24/33.27 |-The branch is then unsatisfiable
% 71.24/33.27 |-Branch two:
% 71.24/33.27 | (166) ~ (all_43_0_59 = 0)
% 71.24/33.27 | (627) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 71.24/33.27 |
% 71.24/33.27 +-Applying beta-rule and splitting (439), into two cases.
% 71.24/33.27 |-Branch one:
% 71.24/33.27 | (188) all_0_0_0 = 0
% 71.24/33.27 |
% 71.24/33.27 | Equations (188) can reduce 140 to:
% 71.24/33.27 | (189) $false
% 71.24/33.27 |
% 71.24/33.27 |-The branch is then unsatisfiable
% 71.24/33.27 |-Branch two:
% 71.24/33.27 | (140) ~ (all_0_0_0 = 0)
% 71.24/33.27 | (631) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.27 |
% 71.24/33.27 | Instantiating (631) with all_437_0_123 yields:
% 71.24/33.27 | (632) (all_437_0_123 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (all_437_0_123 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (all_437_0_123 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = all_437_0_123) | ( ~ (all_437_0_123 = 0) & distinct_points(all_0_2_2, all_0_5_5) = all_437_0_123)
% 71.24/33.27 |
% 71.24/33.27 +-Applying beta-rule and splitting (443), into two cases.
% 71.24/33.27 |-Branch one:
% 71.24/33.27 | (188) all_0_0_0 = 0
% 71.24/33.27 |
% 71.24/33.27 | Equations (188) can reduce 140 to:
% 71.24/33.27 | (189) $false
% 71.24/33.27 |
% 71.24/33.27 |-The branch is then unsatisfiable
% 71.24/33.27 |-Branch two:
% 71.24/33.27 | (140) ~ (all_0_0_0 = 0)
% 71.24/33.27 | (636) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.27 |
% 71.24/33.27 +-Applying beta-rule and splitting (447), into two cases.
% 71.24/33.27 |-Branch one:
% 71.24/33.27 | (336) all_43_0_59 = 0
% 71.24/33.27 |
% 71.24/33.27 | Equations (336) can reduce 166 to:
% 71.24/33.27 | (189) $false
% 71.24/33.27 |
% 71.24/33.27 |-The branch is then unsatisfiable
% 71.24/33.27 |-Branch two:
% 71.24/33.27 | (166) ~ (all_43_0_59 = 0)
% 71.24/33.27 | (640) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.27 |
% 71.24/33.27 +-Applying beta-rule and splitting (451), into two cases.
% 71.24/33.27 |-Branch one:
% 71.24/33.27 | (336) all_43_0_59 = 0
% 71.24/33.27 |
% 71.24/33.27 | Equations (336) can reduce 166 to:
% 71.24/33.27 | (189) $false
% 71.24/33.27 |
% 71.24/33.27 |-The branch is then unsatisfiable
% 71.24/33.27 |-Branch two:
% 71.24/33.27 | (166) ~ (all_43_0_59 = 0)
% 71.24/33.27 | (644) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.27 |
% 71.24/33.27 +-Applying beta-rule and splitting (455), into two cases.
% 71.24/33.27 |-Branch one:
% 71.24/33.27 | (336) all_43_0_59 = 0
% 71.24/33.27 |
% 71.24/33.27 | Equations (336) can reduce 166 to:
% 71.24/33.27 | (189) $false
% 71.24/33.27 |
% 71.24/33.27 |-The branch is then unsatisfiable
% 71.24/33.27 |-Branch two:
% 71.24/33.27 | (166) ~ (all_43_0_59 = 0)
% 71.24/33.27 | (648) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.27 |
% 71.24/33.27 +-Applying beta-rule and splitting (459), into two cases.
% 71.24/33.27 |-Branch one:
% 71.24/33.27 | (188) all_0_0_0 = 0
% 71.24/33.27 |
% 71.24/33.27 | Equations (188) can reduce 140 to:
% 71.24/33.27 | (189) $false
% 71.24/33.27 |
% 71.24/33.27 |-The branch is then unsatisfiable
% 71.24/33.27 |-Branch two:
% 71.24/33.27 | (140) ~ (all_0_0_0 = 0)
% 71.24/33.27 | (652) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.27 |
% 71.24/33.27 +-Applying beta-rule and splitting (463), into two cases.
% 71.24/33.27 |-Branch one:
% 71.24/33.27 | (188) all_0_0_0 = 0
% 71.24/33.27 |
% 71.24/33.27 | Equations (188) can reduce 140 to:
% 71.24/33.27 | (189) $false
% 71.24/33.27 |
% 71.24/33.27 |-The branch is then unsatisfiable
% 71.24/33.27 |-Branch two:
% 71.24/33.27 | (140) ~ (all_0_0_0 = 0)
% 71.24/33.27 | (656) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.24/33.27 |
% 71.24/33.27 | Instantiating (656) with all_461_0_129 yields:
% 71.24/33.27 | (657) (all_461_0_129 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (all_461_0_129 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (all_461_0_129 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = all_461_0_129) | ( ~ (all_461_0_129 = 0) & distinct_points(all_0_5_5, all_0_2_2) = all_461_0_129)
% 71.24/33.27 |
% 71.24/33.27 +-Applying beta-rule and splitting (467), into two cases.
% 71.24/33.27 |-Branch one:
% 71.24/33.27 | (198) all_0_1_1 = 0
% 71.24/33.27 |
% 71.24/33.27 | Equations (198) can reduce 63 to:
% 71.24/33.27 | (189) $false
% 71.24/33.27 |
% 71.24/33.27 |-The branch is then unsatisfiable
% 71.24/33.27 |-Branch two:
% 71.24/33.27 | (63) ~ (all_0_1_1 = 0)
% 71.24/33.27 | (661) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.24/33.27 |
% 71.24/33.27 +-Applying beta-rule and splitting (471), into two cases.
% 71.24/33.27 |-Branch one:
% 71.24/33.27 | (340) all_50_0_67 = 0
% 71.24/33.27 |
% 71.24/33.27 | Equations (340) can reduce 172 to:
% 71.24/33.27 | (189) $false
% 71.24/33.27 |
% 71.24/33.27 |-The branch is then unsatisfiable
% 71.24/33.27 |-Branch two:
% 71.24/33.27 | (172) ~ (all_50_0_67 = 0)
% 71.24/33.27 | (665) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.57/33.27 |
% 71.57/33.27 +-Applying beta-rule and splitting (475), into two cases.
% 71.57/33.27 |-Branch one:
% 71.57/33.27 | (340) all_50_0_67 = 0
% 71.57/33.27 |
% 71.57/33.27 | Equations (340) can reduce 172 to:
% 71.57/33.27 | (189) $false
% 71.57/33.27 |
% 71.57/33.27 |-The branch is then unsatisfiable
% 71.57/33.27 |-Branch two:
% 71.57/33.27 | (172) ~ (all_50_0_67 = 0)
% 71.57/33.27 | (669) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.57/33.27 |
% 71.57/33.27 +-Applying beta-rule and splitting (479), into two cases.
% 71.57/33.27 |-Branch one:
% 71.57/33.27 | (336) all_43_0_59 = 0
% 71.57/33.27 |
% 71.57/33.27 | Equations (336) can reduce 166 to:
% 71.57/33.27 | (189) $false
% 71.57/33.27 |
% 71.57/33.27 |-The branch is then unsatisfiable
% 71.57/33.27 |-Branch two:
% 71.57/33.27 | (166) ~ (all_43_0_59 = 0)
% 71.57/33.27 | (673) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.57/33.27 |
% 71.57/33.27 +-Applying beta-rule and splitting (483), into two cases.
% 71.57/33.27 |-Branch one:
% 71.57/33.27 | (336) all_43_0_59 = 0
% 71.57/33.27 |
% 71.57/33.27 | Equations (336) can reduce 166 to:
% 71.57/33.27 | (189) $false
% 71.57/33.27 |
% 71.57/33.27 |-The branch is then unsatisfiable
% 71.57/33.27 |-Branch two:
% 71.57/33.27 | (166) ~ (all_43_0_59 = 0)
% 71.57/33.27 | (677) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.57/33.27 |
% 71.57/33.27 +-Applying beta-rule and splitting (487), into two cases.
% 71.57/33.27 |-Branch one:
% 71.57/33.27 | (188) all_0_0_0 = 0
% 71.57/33.27 |
% 71.57/33.27 | Equations (188) can reduce 140 to:
% 71.57/33.27 | (189) $false
% 71.57/33.27 |
% 71.57/33.27 |-The branch is then unsatisfiable
% 71.57/33.27 |-Branch two:
% 71.57/33.27 | (140) ~ (all_0_0_0 = 0)
% 71.57/33.27 | (681) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.57/33.27 |
% 71.57/33.27 +-Applying beta-rule and splitting (491), into two cases.
% 71.57/33.27 |-Branch one:
% 71.57/33.27 | (188) all_0_0_0 = 0
% 71.57/33.27 |
% 71.57/33.27 | Equations (188) can reduce 140 to:
% 71.57/33.27 | (189) $false
% 71.57/33.27 |
% 71.57/33.27 |-The branch is then unsatisfiable
% 71.57/33.27 |-Branch two:
% 71.57/33.27 | (140) ~ (all_0_0_0 = 0)
% 71.57/33.27 | (685) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.27 |
% 71.58/33.27 +-Applying beta-rule and splitting (495), into two cases.
% 71.58/33.27 |-Branch one:
% 71.58/33.27 | (340) all_50_0_67 = 0
% 71.58/33.27 |
% 71.58/33.27 | Equations (340) can reduce 172 to:
% 71.58/33.27 | (189) $false
% 71.58/33.27 |
% 71.58/33.27 |-The branch is then unsatisfiable
% 71.58/33.27 |-Branch two:
% 71.58/33.27 | (172) ~ (all_50_0_67 = 0)
% 71.58/33.27 | (689) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.27 |
% 71.58/33.27 +-Applying beta-rule and splitting (499), into two cases.
% 71.58/33.27 |-Branch one:
% 71.58/33.27 | (336) all_43_0_59 = 0
% 71.58/33.27 |
% 71.58/33.27 | Equations (336) can reduce 166 to:
% 71.58/33.27 | (189) $false
% 71.58/33.27 |
% 71.58/33.27 |-The branch is then unsatisfiable
% 71.58/33.27 |-Branch two:
% 71.58/33.27 | (166) ~ (all_43_0_59 = 0)
% 71.58/33.27 | (693) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 71.58/33.27 |
% 71.58/33.27 +-Applying beta-rule and splitting (519), into two cases.
% 71.58/33.27 |-Branch one:
% 71.58/33.27 | (188) all_0_0_0 = 0
% 71.58/33.27 |
% 71.58/33.27 | Equations (188) can reduce 140 to:
% 71.58/33.27 | (189) $false
% 71.58/33.27 |
% 71.58/33.27 |-The branch is then unsatisfiable
% 71.58/33.27 |-Branch two:
% 71.58/33.27 | (140) ~ (all_0_0_0 = 0)
% 71.58/33.27 | (697) ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_6_6) = v0))
% 71.58/33.27 |
% 71.58/33.27 +-Applying beta-rule and splitting (523), into two cases.
% 71.58/33.27 |-Branch one:
% 71.58/33.27 | (188) all_0_0_0 = 0
% 71.58/33.27 |
% 71.58/33.27 | Equations (188) can reduce 140 to:
% 71.58/33.27 | (189) $false
% 71.58/33.27 |
% 71.58/33.27 |-The branch is then unsatisfiable
% 71.58/33.27 |-Branch two:
% 71.58/33.27 | (140) ~ (all_0_0_0 = 0)
% 71.58/33.27 | (701) ? [v0] : ((v0 = 0 & convergent_lines(all_0_6_6, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_8_8) = v0))
% 71.58/33.27 |
% 71.58/33.27 +-Applying beta-rule and splitting (527), into two cases.
% 71.58/33.27 |-Branch one:
% 71.58/33.27 | (198) all_0_1_1 = 0
% 71.58/33.27 |
% 71.58/33.27 | Equations (198) can reduce 63 to:
% 71.58/33.27 | (189) $false
% 71.58/33.27 |
% 71.58/33.27 |-The branch is then unsatisfiable
% 71.58/33.27 |-Branch two:
% 71.58/33.27 | (63) ~ (all_0_1_1 = 0)
% 71.58/33.27 | (705) ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_6_6) = v0))
% 71.58/33.27 |
% 71.58/33.27 +-Applying beta-rule and splitting (531), into two cases.
% 71.58/33.27 |-Branch one:
% 71.58/33.27 | (188) all_0_0_0 = 0
% 71.58/33.27 |
% 71.58/33.27 | Equations (188) can reduce 140 to:
% 71.58/33.27 | (189) $false
% 71.58/33.27 |
% 71.58/33.27 |-The branch is then unsatisfiable
% 71.58/33.27 |-Branch two:
% 71.58/33.27 | (140) ~ (all_0_0_0 = 0)
% 71.58/33.27 | (709) ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_7_7) = v0))
% 71.58/33.27 |
% 71.58/33.27 +-Applying beta-rule and splitting (535), into two cases.
% 71.58/33.27 |-Branch one:
% 71.58/33.27 | (198) all_0_1_1 = 0
% 71.58/33.27 |
% 71.58/33.27 | Equations (198) can reduce 63 to:
% 71.58/33.27 | (189) $false
% 71.58/33.27 |
% 71.58/33.27 |-The branch is then unsatisfiable
% 71.58/33.27 |-Branch two:
% 71.58/33.27 | (63) ~ (all_0_1_1 = 0)
% 71.58/33.27 | (713) ? [v0] : ((v0 = 0 & convergent_lines(all_0_6_6, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_9_9) = v0))
% 71.58/33.27 |
% 71.58/33.27 +-Applying beta-rule and splitting (539), into two cases.
% 71.58/33.27 |-Branch one:
% 71.58/33.27 | (188) all_0_0_0 = 0
% 71.58/33.27 |
% 71.58/33.27 | Equations (188) can reduce 140 to:
% 71.58/33.27 | (189) $false
% 71.58/33.27 |
% 71.58/33.27 |-The branch is then unsatisfiable
% 71.58/33.27 |-Branch two:
% 71.58/33.27 | (140) ~ (all_0_0_0 = 0)
% 71.58/33.27 | (717) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.27 |
% 71.58/33.27 +-Applying beta-rule and splitting (543), into two cases.
% 71.58/33.27 |-Branch one:
% 71.58/33.27 | (198) all_0_1_1 = 0
% 71.58/33.27 |
% 71.58/33.27 | Equations (198) can reduce 63 to:
% 71.58/33.27 | (189) $false
% 71.58/33.27 |
% 71.58/33.27 |-The branch is then unsatisfiable
% 71.58/33.27 |-Branch two:
% 71.58/33.27 | (63) ~ (all_0_1_1 = 0)
% 71.58/33.27 | (721) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.27 |
% 71.58/33.27 +-Applying beta-rule and splitting (547), into two cases.
% 71.58/33.27 |-Branch one:
% 71.58/33.27 | (198) all_0_1_1 = 0
% 71.58/33.27 |
% 71.58/33.27 | Equations (198) can reduce 63 to:
% 71.58/33.27 | (189) $false
% 71.58/33.27 |
% 71.58/33.27 |-The branch is then unsatisfiable
% 71.58/33.27 |-Branch two:
% 71.58/33.27 | (63) ~ (all_0_1_1 = 0)
% 71.58/33.27 | (725) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.27 |
% 71.58/33.27 +-Applying beta-rule and splitting (551), into two cases.
% 71.58/33.27 |-Branch one:
% 71.58/33.27 | (188) all_0_0_0 = 0
% 71.58/33.27 |
% 71.58/33.27 | Equations (188) can reduce 140 to:
% 71.58/33.27 | (189) $false
% 71.58/33.27 |
% 71.58/33.27 |-The branch is then unsatisfiable
% 71.58/33.27 |-Branch two:
% 71.58/33.27 | (140) ~ (all_0_0_0 = 0)
% 71.58/33.27 | (729) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.28 |
% 71.58/33.28 +-Applying beta-rule and splitting (555), into two cases.
% 71.58/33.28 |-Branch one:
% 71.58/33.28 | (198) all_0_1_1 = 0
% 71.58/33.28 |
% 71.58/33.28 | Equations (198) can reduce 63 to:
% 71.58/33.28 | (189) $false
% 71.58/33.28 |
% 71.58/33.28 |-The branch is then unsatisfiable
% 71.58/33.28 |-Branch two:
% 71.58/33.28 | (63) ~ (all_0_1_1 = 0)
% 71.58/33.28 | (733) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.58/33.28 |
% 71.58/33.28 +-Applying beta-rule and splitting (559), into two cases.
% 71.58/33.28 |-Branch one:
% 71.58/33.28 | (198) all_0_1_1 = 0
% 71.58/33.28 |
% 71.58/33.28 | Equations (198) can reduce 63 to:
% 71.58/33.28 | (189) $false
% 71.58/33.28 |
% 71.58/33.28 |-The branch is then unsatisfiable
% 71.58/33.28 |-Branch two:
% 71.58/33.28 | (63) ~ (all_0_1_1 = 0)
% 71.58/33.28 | (737) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.58/33.28 |
% 71.58/33.28 +-Applying beta-rule and splitting (563), into two cases.
% 71.58/33.28 |-Branch one:
% 71.58/33.28 | (198) all_0_1_1 = 0
% 71.58/33.28 |
% 71.58/33.28 | Equations (198) can reduce 63 to:
% 71.58/33.28 | (189) $false
% 71.58/33.28 |
% 71.58/33.28 |-The branch is then unsatisfiable
% 71.58/33.28 |-Branch two:
% 71.58/33.28 | (63) ~ (all_0_1_1 = 0)
% 71.58/33.28 | (741) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.28 |
% 71.58/33.28 | Instantiating (741) with all_562_0_154 yields:
% 71.58/33.28 | (742) (all_562_0_154 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (all_562_0_154 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (all_562_0_154 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = all_562_0_154) | ( ~ (all_562_0_154 = 0) & distinct_points(all_0_5_5, all_0_2_2) = all_562_0_154)
% 71.58/33.28 |
% 71.58/33.28 +-Applying beta-rule and splitting (567), into two cases.
% 71.58/33.28 |-Branch one:
% 71.58/33.28 | (198) all_0_1_1 = 0
% 71.58/33.28 |
% 71.58/33.28 | Equations (198) can reduce 63 to:
% 71.58/33.28 | (189) $false
% 71.58/33.28 |
% 71.58/33.28 |-The branch is then unsatisfiable
% 71.58/33.28 |-Branch two:
% 71.58/33.28 | (63) ~ (all_0_1_1 = 0)
% 71.58/33.28 | (746) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.28 |
% 71.58/33.28 | Instantiating formula (14) with all_56_0_74, all_0_2_2, all_0_6_6, all_0_5_5 and discharging atoms apart_point_and_line(all_0_2_2, all_0_6_6) = all_56_0_74, apart_point_and_line(all_0_5_5, all_0_6_6) = 0, yields:
% 71.58/33.28 | (747) all_56_0_74 = 0 | distinct_points(all_0_5_5, all_0_2_2) = 0
% 71.58/33.28 |
% 71.58/33.28 +-Applying beta-rule and splitting (747), into two cases.
% 71.58/33.28 |-Branch one:
% 71.58/33.28 | (748) distinct_points(all_0_5_5, all_0_2_2) = 0
% 71.58/33.28 |
% 71.58/33.28 +-Applying beta-rule and splitting (657), into two cases.
% 71.58/33.28 |-Branch one:
% 71.58/33.28 | (749) (all_461_0_129 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (all_461_0_129 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (all_461_0_129 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = all_461_0_129)
% 71.58/33.28 |
% 71.58/33.28 +-Applying beta-rule and splitting (749), into two cases.
% 71.58/33.28 |-Branch one:
% 71.58/33.28 | (750) (all_461_0_129 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (all_461_0_129 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0)
% 71.58/33.28 |
% 71.58/33.28 +-Applying beta-rule and splitting (750), into two cases.
% 71.58/33.28 |-Branch one:
% 71.58/33.28 | (751) all_461_0_129 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0
% 71.58/33.28 |
% 71.58/33.28 | Applying alpha-rule on (751) yields:
% 71.58/33.28 | (752) all_461_0_129 = 0
% 71.58/33.28 | (753) apart_point_and_line(all_0_2_2, all_0_9_9) = 0
% 71.58/33.28 |
% 71.58/33.28 | Instantiating formula (121) with all_0_2_2, all_0_9_9, 0, all_0_1_1 and discharging atoms apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, apart_point_and_line(all_0_2_2, all_0_9_9) = 0, yields:
% 71.58/33.28 | (198) all_0_1_1 = 0
% 71.58/33.28 |
% 71.58/33.28 | Equations (198) can reduce 63 to:
% 71.58/33.28 | (189) $false
% 71.58/33.28 |
% 71.58/33.28 |-The branch is then unsatisfiable
% 71.58/33.28 |-Branch two:
% 71.58/33.28 | (756) all_461_0_129 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0
% 71.58/33.28 |
% 71.58/33.28 | Applying alpha-rule on (756) yields:
% 71.58/33.28 | (752) all_461_0_129 = 0
% 71.58/33.28 | (758) apart_point_and_line(all_0_5_5, all_0_8_8) = 0
% 71.58/33.28 |
% 71.58/33.28 | Instantiating formula (121) with all_0_5_5, all_0_8_8, 0, all_50_0_67 and discharging atoms apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, apart_point_and_line(all_0_5_5, all_0_8_8) = 0, yields:
% 71.58/33.28 | (340) all_50_0_67 = 0
% 71.58/33.28 |
% 71.58/33.28 | Equations (340) can reduce 172 to:
% 71.58/33.28 | (189) $false
% 71.58/33.28 |
% 71.58/33.28 |-The branch is then unsatisfiable
% 71.58/33.28 |-Branch two:
% 71.58/33.28 | (761) ~ (all_461_0_129 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = all_461_0_129
% 71.58/33.28 |
% 71.58/33.28 | Applying alpha-rule on (761) yields:
% 71.58/33.28 | (762) ~ (all_461_0_129 = 0)
% 71.58/33.28 | (763) distinct_lines(all_0_8_8, all_0_9_9) = all_461_0_129
% 71.58/33.28 |
% 71.58/33.28 +-Applying beta-rule and splitting (742), into two cases.
% 71.58/33.28 |-Branch one:
% 71.58/33.28 | (764) (all_562_0_154 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (all_562_0_154 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (all_562_0_154 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = all_562_0_154)
% 71.58/33.28 |
% 71.58/33.28 +-Applying beta-rule and splitting (764), into two cases.
% 71.58/33.28 |-Branch one:
% 71.58/33.28 | (765) (all_562_0_154 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (all_562_0_154 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0)
% 71.58/33.28 |
% 71.58/33.28 +-Applying beta-rule and splitting (765), into two cases.
% 71.58/33.28 |-Branch one:
% 71.58/33.28 | (766) all_562_0_154 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0
% 71.58/33.28 |
% 71.58/33.28 | Applying alpha-rule on (766) yields:
% 71.58/33.28 | (767) all_562_0_154 = 0
% 71.58/33.28 | (768) apart_point_and_line(all_0_2_2, all_0_8_8) = 0
% 71.58/33.28 |
% 71.58/33.28 | Instantiating formula (121) with all_0_2_2, all_0_8_8, 0, all_0_0_0 and discharging atoms apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, apart_point_and_line(all_0_2_2, all_0_8_8) = 0, yields:
% 71.58/33.28 | (188) all_0_0_0 = 0
% 71.58/33.28 |
% 71.58/33.28 | Equations (188) can reduce 140 to:
% 71.58/33.28 | (189) $false
% 71.58/33.28 |
% 71.58/33.28 |-The branch is then unsatisfiable
% 71.58/33.28 |-Branch two:
% 71.58/33.28 | (771) all_562_0_154 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0
% 71.58/33.28 |
% 71.58/33.28 | Applying alpha-rule on (771) yields:
% 71.58/33.28 | (767) all_562_0_154 = 0
% 71.58/33.28 | (773) apart_point_and_line(all_0_5_5, all_0_9_9) = 0
% 71.58/33.28 |
% 71.58/33.28 | Instantiating formula (121) with all_0_5_5, all_0_9_9, 0, all_43_0_59 and discharging atoms apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, apart_point_and_line(all_0_5_5, all_0_9_9) = 0, yields:
% 71.58/33.28 | (336) all_43_0_59 = 0
% 71.58/33.28 |
% 71.58/33.28 | Equations (336) can reduce 166 to:
% 71.58/33.28 | (189) $false
% 71.58/33.28 |
% 71.58/33.28 |-The branch is then unsatisfiable
% 71.58/33.28 |-Branch two:
% 71.58/33.28 | (776) ~ (all_562_0_154 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = all_562_0_154
% 71.58/33.28 |
% 71.58/33.28 | Applying alpha-rule on (776) yields:
% 71.58/33.28 | (777) ~ (all_562_0_154 = 0)
% 71.58/33.28 | (778) distinct_lines(all_0_8_8, all_0_9_9) = all_562_0_154
% 71.58/33.28 |
% 71.58/33.28 | Instantiating formula (9) with all_0_8_8, all_0_9_9, all_461_0_129, all_562_0_154 and discharging atoms distinct_lines(all_0_8_8, all_0_9_9) = all_562_0_154, distinct_lines(all_0_8_8, all_0_9_9) = all_461_0_129, yields:
% 71.58/33.28 | (779) all_562_0_154 = all_461_0_129
% 71.58/33.28 |
% 71.58/33.28 | Equations (779) can reduce 777 to:
% 71.58/33.28 | (762) ~ (all_461_0_129 = 0)
% 71.58/33.28 |
% 71.58/33.28 | From (779) and (778) follows:
% 71.58/33.28 | (763) distinct_lines(all_0_8_8, all_0_9_9) = all_461_0_129
% 71.58/33.28 |
% 71.58/33.28 +-Applying beta-rule and splitting (632), into two cases.
% 71.58/33.28 |-Branch one:
% 71.58/33.28 | (782) (all_437_0_123 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (all_437_0_123 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (all_437_0_123 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = all_437_0_123)
% 71.58/33.28 |
% 71.58/33.28 +-Applying beta-rule and splitting (782), into two cases.
% 71.58/33.28 |-Branch one:
% 71.58/33.28 | (783) (all_437_0_123 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (all_437_0_123 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0)
% 71.58/33.28 |
% 71.58/33.28 +-Applying beta-rule and splitting (783), into two cases.
% 71.58/33.28 |-Branch one:
% 71.58/33.28 | (784) all_437_0_123 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0
% 71.58/33.28 |
% 71.58/33.28 | Applying alpha-rule on (784) yields:
% 71.58/33.28 | (785) all_437_0_123 = 0
% 71.58/33.28 | (753) apart_point_and_line(all_0_2_2, all_0_9_9) = 0
% 71.58/33.28 |
% 71.58/33.28 | Instantiating formula (121) with all_0_2_2, all_0_9_9, 0, all_0_1_1 and discharging atoms apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, apart_point_and_line(all_0_2_2, all_0_9_9) = 0, yields:
% 71.58/33.28 | (198) all_0_1_1 = 0
% 71.58/33.28 |
% 71.58/33.28 | Equations (198) can reduce 63 to:
% 71.58/33.28 | (189) $false
% 71.58/33.28 |
% 71.58/33.28 |-The branch is then unsatisfiable
% 71.58/33.28 |-Branch two:
% 71.58/33.28 | (789) all_437_0_123 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0
% 71.58/33.28 |
% 71.58/33.28 | Applying alpha-rule on (789) yields:
% 71.58/33.28 | (785) all_437_0_123 = 0
% 71.58/33.28 | (758) apart_point_and_line(all_0_5_5, all_0_8_8) = 0
% 71.58/33.28 |
% 71.58/33.28 | Instantiating formula (121) with all_0_5_5, all_0_8_8, 0, all_50_0_67 and discharging atoms apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, apart_point_and_line(all_0_5_5, all_0_8_8) = 0, yields:
% 71.58/33.28 | (340) all_50_0_67 = 0
% 71.58/33.28 |
% 71.58/33.28 | Equations (340) can reduce 172 to:
% 71.58/33.28 | (189) $false
% 71.58/33.28 |
% 71.58/33.28 |-The branch is then unsatisfiable
% 71.58/33.28 |-Branch two:
% 71.58/33.28 | (794) ~ (all_437_0_123 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = all_437_0_123
% 71.58/33.28 |
% 71.58/33.28 | Applying alpha-rule on (794) yields:
% 71.58/33.28 | (795) ~ (all_437_0_123 = 0)
% 71.58/33.28 | (796) distinct_lines(all_0_8_8, all_0_9_9) = all_437_0_123
% 71.58/33.28 |
% 71.58/33.28 | Instantiating formula (9) with all_0_8_8, all_0_9_9, all_437_0_123, all_461_0_129 and discharging atoms distinct_lines(all_0_8_8, all_0_9_9) = all_461_0_129, distinct_lines(all_0_8_8, all_0_9_9) = all_437_0_123, yields:
% 71.58/33.28 | (797) all_461_0_129 = all_437_0_123
% 71.58/33.28 |
% 71.58/33.28 | Equations (797) can reduce 762 to:
% 71.58/33.28 | (795) ~ (all_437_0_123 = 0)
% 71.58/33.28 |
% 71.58/33.28 | From (797) and (763) follows:
% 71.58/33.28 | (796) distinct_lines(all_0_8_8, all_0_9_9) = all_437_0_123
% 71.58/33.28 |
% 71.58/33.28 | Instantiating formula (123) with all_437_0_123, all_0_9_9, all_0_8_8, all_0_9_9 and discharging atoms convergent_lines(all_0_9_9, all_0_8_8) = 0, distinct_lines(all_0_8_8, all_0_9_9) = all_437_0_123, yields:
% 71.58/33.28 | (800) all_437_0_123 = 0 | convergent_lines(all_0_9_9, all_0_9_9) = 0
% 71.58/33.28 |
% 71.58/33.28 +-Applying beta-rule and splitting (800), into two cases.
% 71.58/33.28 |-Branch one:
% 71.58/33.28 | (801) convergent_lines(all_0_9_9, all_0_9_9) = 0
% 71.58/33.28 |
% 71.58/33.28 | Instantiating formula (94) with all_0_9_9 and discharging atoms convergent_lines(all_0_9_9, all_0_9_9) = 0, yields:
% 71.58/33.28 | (802) $false
% 71.58/33.28 |
% 71.58/33.28 |-The branch is then unsatisfiable
% 71.58/33.28 |-Branch two:
% 71.58/33.28 | (803) ~ (convergent_lines(all_0_9_9, all_0_9_9) = 0)
% 71.58/33.28 | (785) all_437_0_123 = 0
% 71.58/33.28 |
% 71.58/33.28 | Equations (785) can reduce 795 to:
% 71.58/33.28 | (189) $false
% 71.58/33.28 |
% 71.58/33.28 |-The branch is then unsatisfiable
% 71.58/33.28 |-Branch two:
% 71.58/33.28 | (806) ~ (all_437_0_123 = 0) & distinct_points(all_0_2_2, all_0_5_5) = all_437_0_123
% 71.58/33.28 |
% 71.58/33.28 | Applying alpha-rule on (806) yields:
% 71.58/33.28 | (795) ~ (all_437_0_123 = 0)
% 71.58/33.28 | (808) distinct_points(all_0_2_2, all_0_5_5) = all_437_0_123
% 71.58/33.28 |
% 71.58/33.28 | Instantiating formula (110) with all_437_0_123, all_0_5_5, all_0_2_2, all_0_5_5 and discharging atoms distinct_points(all_0_2_2, all_0_5_5) = all_437_0_123, distinct_points(all_0_5_5, all_0_2_2) = 0, yields:
% 71.58/33.28 | (809) all_437_0_123 = 0 | distinct_points(all_0_5_5, all_0_5_5) = 0
% 71.58/33.28 |
% 71.58/33.28 +-Applying beta-rule and splitting (809), into two cases.
% 71.58/33.28 |-Branch one:
% 71.58/33.28 | (810) distinct_points(all_0_5_5, all_0_5_5) = 0
% 71.58/33.28 |
% 71.58/33.28 | Instantiating formula (41) with all_0_5_5 and discharging atoms distinct_points(all_0_5_5, all_0_5_5) = 0, yields:
% 71.58/33.28 | (802) $false
% 71.58/33.28 |
% 71.58/33.28 |-The branch is then unsatisfiable
% 71.58/33.28 |-Branch two:
% 71.58/33.28 | (812) ~ (distinct_points(all_0_5_5, all_0_5_5) = 0)
% 71.58/33.28 | (785) all_437_0_123 = 0
% 71.58/33.28 |
% 71.58/33.28 | Equations (785) can reduce 795 to:
% 71.58/33.28 | (189) $false
% 71.58/33.28 |
% 71.58/33.28 |-The branch is then unsatisfiable
% 71.58/33.28 |-Branch two:
% 71.58/33.28 | (815) ~ (all_562_0_154 = 0) & distinct_points(all_0_5_5, all_0_2_2) = all_562_0_154
% 71.58/33.28 |
% 71.58/33.28 | Applying alpha-rule on (815) yields:
% 71.58/33.28 | (777) ~ (all_562_0_154 = 0)
% 71.58/33.28 | (817) distinct_points(all_0_5_5, all_0_2_2) = all_562_0_154
% 71.58/33.28 |
% 71.58/33.28 | Instantiating formula (97) with all_0_5_5, all_0_2_2, 0, all_562_0_154 and discharging atoms distinct_points(all_0_5_5, all_0_2_2) = all_562_0_154, distinct_points(all_0_5_5, all_0_2_2) = 0, yields:
% 71.58/33.28 | (767) all_562_0_154 = 0
% 71.58/33.28 |
% 71.58/33.28 | Equations (767) can reduce 777 to:
% 71.58/33.28 | (189) $false
% 71.58/33.28 |
% 71.58/33.28 |-The branch is then unsatisfiable
% 71.58/33.28 |-Branch two:
% 71.58/33.28 | (820) ~ (all_461_0_129 = 0) & distinct_points(all_0_5_5, all_0_2_2) = all_461_0_129
% 71.58/33.28 |
% 71.58/33.29 | Applying alpha-rule on (820) yields:
% 71.58/33.29 | (762) ~ (all_461_0_129 = 0)
% 71.58/33.29 | (822) distinct_points(all_0_5_5, all_0_2_2) = all_461_0_129
% 71.58/33.29 |
% 71.58/33.29 | Instantiating formula (97) with all_0_5_5, all_0_2_2, 0, all_461_0_129 and discharging atoms distinct_points(all_0_5_5, all_0_2_2) = all_461_0_129, distinct_points(all_0_5_5, all_0_2_2) = 0, yields:
% 71.58/33.29 | (752) all_461_0_129 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (752) can reduce 762 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (825) ~ (distinct_points(all_0_5_5, all_0_2_2) = 0)
% 71.58/33.29 | (344) all_56_0_74 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (344) can reduce 180 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (828) all_0_4_4 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0
% 71.58/33.29 |
% 71.58/33.29 | Applying alpha-rule on (828) yields:
% 71.58/33.29 | (829) all_0_4_4 = 0
% 71.58/33.29 | (830) apart_point_and_line(all_0_5_5, all_0_7_7) = 0
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (291), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (332) all_46_0_62 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (332) can reduce 186 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (186) ~ (all_46_0_62 = 0)
% 71.58/33.29 | (335) ? [v0] : ((v0 = 0 & convergent_lines(all_0_7_7, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_7_7) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (327), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (336) all_43_0_59 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (336) can reduce 166 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (166) ~ (all_43_0_59 = 0)
% 71.58/33.29 | (201) ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_9_9) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (307), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (340) all_50_0_67 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (340) can reduce 172 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (172) ~ (all_50_0_67 = 0)
% 71.58/33.29 | (191) ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_8_8) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (277), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (344) all_56_0_74 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (344) can reduce 180 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.29 | (347) ? [v0] : ((v0 = 0 & convergent_lines(all_0_6_6, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_6_6) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (278), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (344) all_56_0_74 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (344) can reduce 180 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.29 | (351) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (308), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (340) all_50_0_67 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (340) can reduce 172 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (172) ~ (all_50_0_67 = 0)
% 71.58/33.29 | (355) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (328), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (336) all_43_0_59 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (336) can reduce 166 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (166) ~ (all_43_0_59 = 0)
% 71.58/33.29 | (359) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (284), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (332) all_46_0_62 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (332) can reduce 186 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (186) ~ (all_46_0_62 = 0)
% 71.58/33.29 | (363) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_7_7, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_9_9) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (288), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (344) all_56_0_74 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (344) can reduce 180 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.29 | (367) all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_7_7, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_6_6) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (323), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (340) all_50_0_67 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (340) can reduce 172 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (172) ~ (all_50_0_67 = 0)
% 71.58/33.29 | (371) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (324), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (340) all_50_0_67 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (340) can reduce 172 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (172) ~ (all_50_0_67 = 0)
% 71.58/33.29 | (375) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (287), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (344) all_56_0_74 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (344) can reduce 180 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.29 | (379) all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_6_6, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_7_7) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (280), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (332) all_46_0_62 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (332) can reduce 186 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (186) ~ (all_46_0_62 = 0)
% 71.58/33.29 | (383) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_7_7, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_8_8) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (283), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (332) all_46_0_62 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (332) can reduce 186 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (186) ~ (all_46_0_62 = 0)
% 71.58/33.29 | (387) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_7_7) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (281), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (332) all_46_0_62 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (332) can reduce 186 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (186) ~ (all_46_0_62 = 0)
% 71.58/33.29 | (391) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (286), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (332) all_46_0_62 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (332) can reduce 186 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (186) ~ (all_46_0_62 = 0)
% 71.58/33.29 | (395) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (282), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (332) all_46_0_62 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (332) can reduce 186 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (186) ~ (all_46_0_62 = 0)
% 71.58/33.29 | (399) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (290), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (344) all_56_0_74 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (344) can reduce 180 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.29 | (403) all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (285), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (332) all_46_0_62 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (332) can reduce 186 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (186) ~ (all_46_0_62 = 0)
% 71.58/33.29 | (407) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (299), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (344) all_56_0_74 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (344) can reduce 180 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.29 | (411) all_50_0_67 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (289), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (344) all_56_0_74 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (344) can reduce 180 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.29 | (415) all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (318), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (344) all_56_0_74 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (344) can reduce 180 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.29 | (419) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (319), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (332) all_46_0_62 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (332) can reduce 186 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (186) ~ (all_46_0_62 = 0)
% 71.58/33.29 | (423) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.58/33.29 |
% 71.58/33.29 +-Applying beta-rule and splitting (314), into two cases.
% 71.58/33.29 |-Branch one:
% 71.58/33.29 | (336) all_43_0_59 = 0
% 71.58/33.29 |
% 71.58/33.29 | Equations (336) can reduce 166 to:
% 71.58/33.29 | (189) $false
% 71.58/33.29 |
% 71.58/33.29 |-The branch is then unsatisfiable
% 71.58/33.29 |-Branch two:
% 71.58/33.29 | (166) ~ (all_43_0_59 = 0)
% 71.58/33.29 | (427) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (315), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (344) all_56_0_74 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (344) can reduce 180 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.30 | (431) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (326), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (340) all_50_0_67 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (340) can reduce 172 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (172) ~ (all_50_0_67 = 0)
% 71.58/33.30 | (435) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (309), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (336) all_43_0_59 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (336) can reduce 166 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (166) ~ (all_43_0_59 = 0)
% 71.58/33.30 | (439) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (310), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (336) all_43_0_59 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (336) can reduce 166 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (166) ~ (all_43_0_59 = 0)
% 71.58/33.30 | (443) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (316), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (344) all_56_0_74 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (344) can reduce 180 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.30 | (447) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (317), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (344) all_56_0_74 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (344) can reduce 180 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.30 | (451) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (320), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (332) all_46_0_62 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (332) can reduce 186 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (186) ~ (all_46_0_62 = 0)
% 71.58/33.30 | (455) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (311), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (336) all_43_0_59 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (336) can reduce 166 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (166) ~ (all_43_0_59 = 0)
% 71.58/33.30 | (459) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (312), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (336) all_43_0_59 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (336) can reduce 166 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (166) ~ (all_43_0_59 = 0)
% 71.58/33.30 | (463) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (313), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (336) all_43_0_59 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (336) can reduce 166 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (166) ~ (all_43_0_59 = 0)
% 71.58/33.30 | (467) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (300), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (344) all_56_0_74 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (344) can reduce 180 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.30 | (471) all_50_0_67 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (301), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (344) all_56_0_74 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (344) can reduce 180 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.30 | (475) all_50_0_67 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (322), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (332) all_46_0_62 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (332) can reduce 186 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (186) ~ (all_46_0_62 = 0)
% 71.58/33.30 | (479) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (321), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (332) all_46_0_62 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (332) can reduce 186 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (186) ~ (all_46_0_62 = 0)
% 71.58/33.30 | (483) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (293), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (340) all_50_0_67 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (340) can reduce 172 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (172) ~ (all_50_0_67 = 0)
% 71.58/33.30 | (487) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (294), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (340) all_50_0_67 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (340) can reduce 172 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (172) ~ (all_50_0_67 = 0)
% 71.58/33.30 | (491) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (302), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (344) all_56_0_74 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (344) can reduce 180 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.30 | (495) all_50_0_67 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (325), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (340) all_50_0_67 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (340) can reduce 172 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (172) ~ (all_50_0_67 = 0)
% 71.58/33.30 | (499) all_43_0_59 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (305), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (340) all_50_0_67 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (340) can reduce 172 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (172) ~ (all_50_0_67 = 0)
% 71.58/33.30 | (503) all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (303), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (340) all_50_0_67 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (340) can reduce 172 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (172) ~ (all_50_0_67 = 0)
% 71.58/33.30 | (507) all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (304), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (340) all_50_0_67 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (340) can reduce 172 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (172) ~ (all_50_0_67 = 0)
% 71.58/33.30 | (511) all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (306), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (340) all_50_0_67 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (340) can reduce 172 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (172) ~ (all_50_0_67 = 0)
% 71.58/33.30 | (515) all_46_0_62 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (269), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (344) all_56_0_74 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (344) can reduce 180 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.30 | (519) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_6_6) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (270), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (344) all_56_0_74 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (344) can reduce 180 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.30 | (523) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_6_6, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_8_8) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (273), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (344) all_56_0_74 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (344) can reduce 180 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.30 | (527) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_6_6) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (279), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (332) all_46_0_62 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (332) can reduce 186 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (186) ~ (all_46_0_62 = 0)
% 71.58/33.30 | (531) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_7_7) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (274), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (344) all_56_0_74 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (344) can reduce 180 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.30 | (535) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & convergent_lines(all_0_6_6, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_9_9) = v0))
% 71.58/33.30 |
% 71.58/33.30 +-Applying beta-rule and splitting (292), into two cases.
% 71.58/33.30 |-Branch one:
% 71.58/33.30 | (332) all_46_0_62 = 0
% 71.58/33.30 |
% 71.58/33.30 | Equations (332) can reduce 186 to:
% 71.58/33.30 | (189) $false
% 71.58/33.30 |
% 71.58/33.30 |-The branch is then unsatisfiable
% 71.58/33.30 |-Branch two:
% 71.58/33.30 | (186) ~ (all_46_0_62 = 0)
% 71.58/33.30 | (1038) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (271), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (344) all_56_0_74 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (344) can reduce 180 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.31 | (539) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (275), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (344) all_56_0_74 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (344) can reduce 180 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.31 | (543) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (276), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (344) all_56_0_74 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (344) can reduce 180 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.31 | (547) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (272), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (344) all_56_0_74 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (344) can reduce 180 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (180) ~ (all_56_0_74 = 0)
% 71.58/33.31 | (551) all_0_0_0 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (297), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (340) all_50_0_67 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (340) can reduce 172 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (172) ~ (all_50_0_67 = 0)
% 71.58/33.31 | (555) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (295), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (340) all_50_0_67 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (340) can reduce 172 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (172) ~ (all_50_0_67 = 0)
% 71.58/33.31 | (559) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (296), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (340) all_50_0_67 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (340) can reduce 172 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (172) ~ (all_50_0_67 = 0)
% 71.58/33.31 | (563) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (298), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (340) all_50_0_67 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (340) can reduce 172 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (172) ~ (all_50_0_67 = 0)
% 71.58/33.31 | (567) all_0_1_1 = 0 | ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (363), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (198) all_0_1_1 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (198) can reduce 63 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (63) ~ (all_0_1_1 = 0)
% 71.58/33.31 | (571) ? [v0] : ((v0 = 0 & convergent_lines(all_0_7_7, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_9_9) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (367), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (332) all_46_0_62 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (332) can reduce 186 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (186) ~ (all_46_0_62 = 0)
% 71.58/33.31 | (1078) ? [v0] : ((v0 = 0 & convergent_lines(all_0_7_7, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_6_6) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (371), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (336) all_43_0_59 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (336) can reduce 166 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (166) ~ (all_43_0_59 = 0)
% 71.58/33.31 | (232) ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (375), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (336) all_43_0_59 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (336) can reduce 166 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (166) ~ (all_43_0_59 = 0)
% 71.58/33.31 | (236) ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (379), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (332) all_46_0_62 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (332) can reduce 186 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (186) ~ (all_46_0_62 = 0)
% 71.58/33.31 | (1090) ? [v0] : ((v0 = 0 & convergent_lines(all_0_6_6, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_7_7) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (383), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (188) all_0_0_0 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (188) can reduce 140 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (140) ~ (all_0_0_0 = 0)
% 71.58/33.31 | (583) ? [v0] : ((v0 = 0 & convergent_lines(all_0_7_7, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_8_8) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (387), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (198) all_0_1_1 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (198) can reduce 63 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (63) ~ (all_0_1_1 = 0)
% 71.58/33.31 | (587) ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_7_7) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (391), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (188) all_0_0_0 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (188) can reduce 140 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (140) ~ (all_0_0_0 = 0)
% 71.58/33.31 | (591) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (395), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (198) all_0_1_1 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (198) can reduce 63 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (63) ~ (all_0_1_1 = 0)
% 71.58/33.31 | (595) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (399), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (188) all_0_0_0 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (188) can reduce 140 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (140) ~ (all_0_0_0 = 0)
% 71.58/33.31 | (599) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (403), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (332) all_46_0_62 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (332) can reduce 186 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (186) ~ (all_46_0_62 = 0)
% 71.58/33.31 | (1114) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (407), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (198) all_0_1_1 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (198) can reduce 63 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (63) ~ (all_0_1_1 = 0)
% 71.58/33.31 | (603) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (411), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (340) all_50_0_67 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (340) can reduce 172 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (172) ~ (all_50_0_67 = 0)
% 71.58/33.31 | (607) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (415), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (332) all_46_0_62 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (332) can reduce 186 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (186) ~ (all_46_0_62 = 0)
% 71.58/33.31 | (1126) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (419), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (336) all_43_0_59 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (336) can reduce 166 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (166) ~ (all_43_0_59 = 0)
% 71.58/33.31 | (611) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (423), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (336) all_43_0_59 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (336) can reduce 166 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (166) ~ (all_43_0_59 = 0)
% 71.58/33.31 | (615) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (427), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (198) all_0_1_1 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (198) can reduce 63 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (63) ~ (all_0_1_1 = 0)
% 71.58/33.31 | (619) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (431), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (336) all_43_0_59 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (336) can reduce 166 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (166) ~ (all_43_0_59 = 0)
% 71.58/33.31 | (623) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (435), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (336) all_43_0_59 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (336) can reduce 166 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (166) ~ (all_43_0_59 = 0)
% 71.58/33.31 | (627) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 71.58/33.31 |
% 71.58/33.31 +-Applying beta-rule and splitting (439), into two cases.
% 71.58/33.31 |-Branch one:
% 71.58/33.31 | (188) all_0_0_0 = 0
% 71.58/33.31 |
% 71.58/33.31 | Equations (188) can reduce 140 to:
% 71.58/33.31 | (189) $false
% 71.58/33.31 |
% 71.58/33.31 |-The branch is then unsatisfiable
% 71.58/33.31 |-Branch two:
% 71.58/33.31 | (140) ~ (all_0_0_0 = 0)
% 71.58/33.31 | (631) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.58/33.32 |
% 71.58/33.32 | Instantiating (631) with all_437_0_7900 yields:
% 71.58/33.32 | (1151) (all_437_0_7900 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (all_437_0_7900 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (all_437_0_7900 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = all_437_0_7900) | ( ~ (all_437_0_7900 = 0) & distinct_points(all_0_2_2, all_0_5_5) = all_437_0_7900)
% 71.58/33.32 |
% 71.58/33.32 +-Applying beta-rule and splitting (443), into two cases.
% 71.58/33.32 |-Branch one:
% 71.58/33.32 | (188) all_0_0_0 = 0
% 71.58/33.32 |
% 71.58/33.32 | Equations (188) can reduce 140 to:
% 71.58/33.32 | (189) $false
% 71.58/33.32 |
% 71.58/33.32 |-The branch is then unsatisfiable
% 71.58/33.32 |-Branch two:
% 71.58/33.32 | (140) ~ (all_0_0_0 = 0)
% 71.58/33.32 | (636) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.32 |
% 71.58/33.32 +-Applying beta-rule and splitting (447), into two cases.
% 71.58/33.32 |-Branch one:
% 71.58/33.32 | (336) all_43_0_59 = 0
% 71.58/33.32 |
% 71.58/33.32 | Equations (336) can reduce 166 to:
% 71.58/33.32 | (189) $false
% 71.58/33.32 |
% 71.58/33.32 |-The branch is then unsatisfiable
% 71.58/33.32 |-Branch two:
% 71.58/33.32 | (166) ~ (all_43_0_59 = 0)
% 71.58/33.32 | (640) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.32 |
% 71.58/33.32 +-Applying beta-rule and splitting (451), into two cases.
% 71.58/33.32 |-Branch one:
% 71.58/33.32 | (336) all_43_0_59 = 0
% 71.58/33.32 |
% 71.58/33.32 | Equations (336) can reduce 166 to:
% 71.58/33.32 | (189) $false
% 71.58/33.32 |
% 71.58/33.32 |-The branch is then unsatisfiable
% 71.58/33.32 |-Branch two:
% 71.58/33.32 | (166) ~ (all_43_0_59 = 0)
% 71.58/33.32 | (644) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.58/33.32 |
% 71.58/33.32 +-Applying beta-rule and splitting (455), into two cases.
% 71.58/33.32 |-Branch one:
% 71.58/33.32 | (336) all_43_0_59 = 0
% 71.58/33.32 |
% 71.58/33.32 | Equations (336) can reduce 166 to:
% 71.58/33.32 | (189) $false
% 71.58/33.32 |
% 71.58/33.32 |-The branch is then unsatisfiable
% 71.58/33.32 |-Branch two:
% 71.58/33.32 | (166) ~ (all_43_0_59 = 0)
% 71.58/33.32 | (648) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.58/33.32 |
% 71.58/33.32 +-Applying beta-rule and splitting (459), into two cases.
% 71.58/33.32 |-Branch one:
% 71.58/33.32 | (188) all_0_0_0 = 0
% 71.58/33.32 |
% 71.58/33.32 | Equations (188) can reduce 140 to:
% 71.58/33.32 | (189) $false
% 71.58/33.32 |
% 71.58/33.32 |-The branch is then unsatisfiable
% 71.58/33.32 |-Branch two:
% 71.58/33.32 | (140) ~ (all_0_0_0 = 0)
% 71.58/33.32 | (652) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (463), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (188) all_0_0_0 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (188) can reduce 140 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (140) ~ (all_0_0_0 = 0)
% 71.77/33.32 | (656) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.77/33.32 |
% 71.77/33.32 | Instantiating (656) with all_461_0_7906 yields:
% 71.77/33.32 | (1176) (all_461_0_7906 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (all_461_0_7906 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (all_461_0_7906 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = all_461_0_7906) | ( ~ (all_461_0_7906 = 0) & distinct_points(all_0_5_5, all_0_2_2) = all_461_0_7906)
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (467), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (198) all_0_1_1 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (198) can reduce 63 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (63) ~ (all_0_1_1 = 0)
% 71.77/33.32 | (661) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (471), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (340) all_50_0_67 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (340) can reduce 172 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (172) ~ (all_50_0_67 = 0)
% 71.77/33.32 | (665) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (475), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (340) all_50_0_67 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (340) can reduce 172 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (172) ~ (all_50_0_67 = 0)
% 71.77/33.32 | (669) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (479), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (336) all_43_0_59 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (336) can reduce 166 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (166) ~ (all_43_0_59 = 0)
% 71.77/33.32 | (673) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (483), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (336) all_43_0_59 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (336) can reduce 166 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (166) ~ (all_43_0_59 = 0)
% 71.77/33.32 | (677) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (487), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (188) all_0_0_0 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (188) can reduce 140 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (140) ~ (all_0_0_0 = 0)
% 71.77/33.32 | (681) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (491), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (188) all_0_0_0 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (188) can reduce 140 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (140) ~ (all_0_0_0 = 0)
% 71.77/33.32 | (685) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (495), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (340) all_50_0_67 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (340) can reduce 172 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (172) ~ (all_50_0_67 = 0)
% 71.77/33.32 | (689) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (499), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (336) all_43_0_59 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (336) can reduce 166 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (166) ~ (all_43_0_59 = 0)
% 71.77/33.32 | (693) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_5_5) = v0))
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (503), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (332) all_46_0_62 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (332) can reduce 186 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (186) ~ (all_46_0_62 = 0)
% 71.77/33.32 | (1216) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (507), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (332) all_46_0_62 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (332) can reduce 186 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (186) ~ (all_46_0_62 = 0)
% 71.77/33.32 | (1220) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (511), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (332) all_46_0_62 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (332) can reduce 186 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (186) ~ (all_46_0_62 = 0)
% 71.77/33.32 | (1224) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_7_7) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (515), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (332) all_46_0_62 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (332) can reduce 186 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (186) ~ (all_46_0_62 = 0)
% 71.77/33.32 | (1228) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_7_7, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (519), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (188) all_0_0_0 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (188) can reduce 140 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (140) ~ (all_0_0_0 = 0)
% 71.77/33.32 | (697) ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_6_6) = v0))
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (523), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (188) all_0_0_0 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (188) can reduce 140 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (140) ~ (all_0_0_0 = 0)
% 71.77/33.32 | (701) ? [v0] : ((v0 = 0 & convergent_lines(all_0_6_6, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_8_8) = v0))
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (527), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (198) all_0_1_1 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (198) can reduce 63 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (63) ~ (all_0_1_1 = 0)
% 71.77/33.32 | (705) ? [v0] : ((v0 = 0 & convergent_lines(all_0_9_9, all_0_6_6) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_6_6) = v0))
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (531), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (188) all_0_0_0 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (188) can reduce 140 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (140) ~ (all_0_0_0 = 0)
% 71.77/33.32 | (709) ? [v0] : ((v0 = 0 & convergent_lines(all_0_8_8, all_0_7_7) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_7_7) = v0))
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (535), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (198) all_0_1_1 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (198) can reduce 63 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (63) ~ (all_0_1_1 = 0)
% 71.77/33.32 | (713) ? [v0] : ((v0 = 0 & convergent_lines(all_0_6_6, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_9_9) = v0))
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (539), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (188) all_0_0_0 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (188) can reduce 140 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (140) ~ (all_0_0_0 = 0)
% 71.77/33.32 | (717) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (543), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (198) all_0_1_1 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (198) can reduce 63 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (63) ~ (all_0_1_1 = 0)
% 71.77/33.32 | (721) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_6_6) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.77/33.32 |
% 71.77/33.32 +-Applying beta-rule and splitting (547), into two cases.
% 71.77/33.32 |-Branch one:
% 71.77/33.32 | (198) all_0_1_1 = 0
% 71.77/33.32 |
% 71.77/33.32 | Equations (198) can reduce 63 to:
% 71.77/33.32 | (189) $false
% 71.77/33.32 |
% 71.77/33.32 |-The branch is then unsatisfiable
% 71.77/33.32 |-Branch two:
% 71.77/33.32 | (63) ~ (all_0_1_1 = 0)
% 71.77/33.32 | (725) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.77/33.33 |
% 71.77/33.33 +-Applying beta-rule and splitting (551), into two cases.
% 71.77/33.33 |-Branch one:
% 71.77/33.33 | (188) all_0_0_0 = 0
% 71.77/33.33 |
% 71.77/33.33 | Equations (188) can reduce 140 to:
% 71.77/33.33 | (189) $false
% 71.77/33.33 |
% 71.77/33.33 |-The branch is then unsatisfiable
% 71.77/33.33 |-Branch two:
% 71.77/33.33 | (140) ~ (all_0_0_0 = 0)
% 71.77/33.33 | (729) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_6_6) = 0) | (v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_6_6, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_2_2) = v0))
% 71.77/33.33 |
% 71.77/33.33 +-Applying beta-rule and splitting (555), into two cases.
% 71.77/33.33 |-Branch one:
% 71.77/33.33 | (198) all_0_1_1 = 0
% 71.77/33.33 |
% 71.77/33.33 | Equations (198) can reduce 63 to:
% 71.77/33.33 | (189) $false
% 71.77/33.33 |
% 71.77/33.33 |-The branch is then unsatisfiable
% 71.77/33.33 |-Branch two:
% 71.77/33.33 | (63) ~ (all_0_1_1 = 0)
% 71.77/33.33 | (733) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.77/33.33 |
% 71.77/33.33 +-Applying beta-rule and splitting (559), into two cases.
% 71.77/33.33 |-Branch one:
% 71.77/33.33 | (198) all_0_1_1 = 0
% 71.77/33.33 |
% 71.77/33.33 | Equations (198) can reduce 63 to:
% 71.77/33.33 | (189) $false
% 71.77/33.33 |
% 71.77/33.33 |-The branch is then unsatisfiable
% 71.77/33.33 |-Branch two:
% 71.77/33.33 | (63) ~ (all_0_1_1 = 0)
% 71.77/33.33 | (737) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_2_2, all_0_5_5) = v0))
% 71.77/33.33 |
% 71.77/33.33 +-Applying beta-rule and splitting (563), into two cases.
% 71.77/33.33 |-Branch one:
% 71.77/33.33 | (198) all_0_1_1 = 0
% 71.77/33.33 |
% 71.77/33.33 | Equations (198) can reduce 63 to:
% 71.77/33.33 | (189) $false
% 71.77/33.33 |
% 71.77/33.33 |-The branch is then unsatisfiable
% 71.77/33.33 |-Branch two:
% 71.77/33.33 | (63) ~ (all_0_1_1 = 0)
% 71.77/33.33 | (741) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.77/33.33 |
% 71.77/33.33 | Instantiating (741) with all_562_0_7931 yields:
% 71.77/33.33 | (1277) (all_562_0_7931 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (all_562_0_7931 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (all_562_0_7931 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = all_562_0_7931) | ( ~ (all_562_0_7931 = 0) & distinct_points(all_0_5_5, all_0_2_2) = all_562_0_7931)
% 71.77/33.33 |
% 71.77/33.33 +-Applying beta-rule and splitting (567), into two cases.
% 71.77/33.33 |-Branch one:
% 71.77/33.33 | (198) all_0_1_1 = 0
% 71.77/33.33 |
% 71.77/33.33 | Equations (198) can reduce 63 to:
% 71.77/33.33 | (189) $false
% 71.77/33.33 |
% 71.77/33.33 |-The branch is then unsatisfiable
% 71.77/33.33 |-Branch two:
% 71.77/33.33 | (63) ~ (all_0_1_1 = 0)
% 71.77/33.33 | (746) ? [v0] : ((v0 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (v0 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (v0 = 0) & distinct_lines(all_0_9_9, all_0_8_8) = v0) | ( ~ (v0 = 0) & distinct_points(all_0_5_5, all_0_2_2) = v0))
% 71.77/33.33 |
% 71.77/33.33 | Instantiating formula (14) with all_46_0_62, all_0_2_2, all_0_7_7, all_0_5_5 and discharging atoms apart_point_and_line(all_0_2_2, all_0_7_7) = all_46_0_62, apart_point_and_line(all_0_5_5, all_0_7_7) = 0, yields:
% 71.77/33.33 | (1282) all_46_0_62 = 0 | distinct_points(all_0_5_5, all_0_2_2) = 0
% 71.77/33.33 |
% 71.77/33.33 +-Applying beta-rule and splitting (1282), into two cases.
% 71.77/33.33 |-Branch one:
% 71.77/33.33 | (748) distinct_points(all_0_5_5, all_0_2_2) = 0
% 71.77/33.33 |
% 71.77/33.33 +-Applying beta-rule and splitting (1176), into two cases.
% 71.77/33.33 |-Branch one:
% 71.77/33.33 | (1284) (all_461_0_7906 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (all_461_0_7906 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (all_461_0_7906 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = all_461_0_7906)
% 71.77/33.33 |
% 71.77/33.33 +-Applying beta-rule and splitting (1284), into two cases.
% 71.77/33.33 |-Branch one:
% 71.77/33.33 | (1285) (all_461_0_7906 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (all_461_0_7906 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0)
% 71.77/33.33 |
% 71.77/33.33 +-Applying beta-rule and splitting (1285), into two cases.
% 71.77/33.33 |-Branch one:
% 71.77/33.33 | (1286) all_461_0_7906 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0
% 71.77/33.33 |
% 71.77/33.33 | Applying alpha-rule on (1286) yields:
% 71.77/33.33 | (1287) all_461_0_7906 = 0
% 71.77/33.33 | (753) apart_point_and_line(all_0_2_2, all_0_9_9) = 0
% 71.77/33.33 |
% 71.77/33.33 | Instantiating formula (121) with all_0_2_2, all_0_9_9, 0, all_0_1_1 and discharging atoms apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, apart_point_and_line(all_0_2_2, all_0_9_9) = 0, yields:
% 71.77/33.33 | (198) all_0_1_1 = 0
% 71.77/33.33 |
% 71.77/33.33 | Equations (198) can reduce 63 to:
% 71.77/33.33 | (189) $false
% 71.77/33.33 |
% 71.77/33.33 |-The branch is then unsatisfiable
% 71.77/33.33 |-Branch two:
% 71.77/33.33 | (1291) all_461_0_7906 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0
% 71.77/33.33 |
% 71.77/33.33 | Applying alpha-rule on (1291) yields:
% 71.77/33.33 | (1287) all_461_0_7906 = 0
% 71.77/33.33 | (758) apart_point_and_line(all_0_5_5, all_0_8_8) = 0
% 71.77/33.33 |
% 71.77/33.33 | Instantiating formula (121) with all_0_5_5, all_0_8_8, 0, all_50_0_67 and discharging atoms apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, apart_point_and_line(all_0_5_5, all_0_8_8) = 0, yields:
% 71.77/33.33 | (340) all_50_0_67 = 0
% 71.77/33.33 |
% 71.77/33.33 | Equations (340) can reduce 172 to:
% 71.77/33.33 | (189) $false
% 71.77/33.33 |
% 71.77/33.33 |-The branch is then unsatisfiable
% 71.77/33.33 |-Branch two:
% 71.77/33.33 | (1296) ~ (all_461_0_7906 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = all_461_0_7906
% 71.77/33.33 |
% 71.77/33.33 | Applying alpha-rule on (1296) yields:
% 71.77/33.33 | (1297) ~ (all_461_0_7906 = 0)
% 71.77/33.33 | (1298) distinct_lines(all_0_8_8, all_0_9_9) = all_461_0_7906
% 71.77/33.33 |
% 71.77/33.33 +-Applying beta-rule and splitting (1277), into two cases.
% 71.77/33.33 |-Branch one:
% 71.77/33.33 | (1299) (all_562_0_7931 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (all_562_0_7931 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0) | ( ~ (all_562_0_7931 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = all_562_0_7931)
% 71.77/33.33 |
% 71.77/33.33 +-Applying beta-rule and splitting (1299), into two cases.
% 71.77/33.33 |-Branch one:
% 71.77/33.33 | (1300) (all_562_0_7931 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0) | (all_562_0_7931 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0)
% 71.77/33.33 |
% 71.77/33.33 +-Applying beta-rule and splitting (1300), into two cases.
% 71.77/33.33 |-Branch one:
% 71.77/33.33 | (1301) all_562_0_7931 = 0 & apart_point_and_line(all_0_2_2, all_0_8_8) = 0
% 71.77/33.33 |
% 71.77/33.33 | Applying alpha-rule on (1301) yields:
% 71.77/33.33 | (1302) all_562_0_7931 = 0
% 71.77/33.33 | (768) apart_point_and_line(all_0_2_2, all_0_8_8) = 0
% 71.77/33.33 |
% 71.77/33.33 | Instantiating formula (121) with all_0_2_2, all_0_8_8, 0, all_0_0_0 and discharging atoms apart_point_and_line(all_0_2_2, all_0_8_8) = all_0_0_0, apart_point_and_line(all_0_2_2, all_0_8_8) = 0, yields:
% 71.77/33.33 | (188) all_0_0_0 = 0
% 71.77/33.33 |
% 71.77/33.33 | Equations (188) can reduce 140 to:
% 71.77/33.33 | (189) $false
% 71.77/33.33 |
% 71.77/33.33 |-The branch is then unsatisfiable
% 71.77/33.33 |-Branch two:
% 71.77/33.33 | (1306) all_562_0_7931 = 0 & apart_point_and_line(all_0_5_5, all_0_9_9) = 0
% 71.77/33.33 |
% 71.77/33.33 | Applying alpha-rule on (1306) yields:
% 71.77/33.33 | (1302) all_562_0_7931 = 0
% 71.77/33.33 | (773) apart_point_and_line(all_0_5_5, all_0_9_9) = 0
% 71.77/33.33 |
% 71.77/33.33 | Instantiating formula (121) with all_0_5_5, all_0_9_9, 0, all_43_0_59 and discharging atoms apart_point_and_line(all_0_5_5, all_0_9_9) = all_43_0_59, apart_point_and_line(all_0_5_5, all_0_9_9) = 0, yields:
% 71.77/33.33 | (336) all_43_0_59 = 0
% 71.77/33.33 |
% 71.77/33.33 | Equations (336) can reduce 166 to:
% 71.77/33.33 | (189) $false
% 71.77/33.33 |
% 71.77/33.33 |-The branch is then unsatisfiable
% 71.77/33.33 |-Branch two:
% 71.77/33.33 | (1311) ~ (all_562_0_7931 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = all_562_0_7931
% 71.77/33.33 |
% 71.77/33.33 | Applying alpha-rule on (1311) yields:
% 71.77/33.33 | (1312) ~ (all_562_0_7931 = 0)
% 71.77/33.33 | (1313) distinct_lines(all_0_8_8, all_0_9_9) = all_562_0_7931
% 71.77/33.33 |
% 71.77/33.33 | Instantiating formula (9) with all_0_8_8, all_0_9_9, all_461_0_7906, all_562_0_7931 and discharging atoms distinct_lines(all_0_8_8, all_0_9_9) = all_562_0_7931, distinct_lines(all_0_8_8, all_0_9_9) = all_461_0_7906, yields:
% 71.77/33.33 | (1314) all_562_0_7931 = all_461_0_7906
% 71.77/33.33 |
% 71.77/33.33 | Equations (1314) can reduce 1312 to:
% 71.77/33.33 | (1297) ~ (all_461_0_7906 = 0)
% 71.77/33.33 |
% 71.77/33.33 | From (1314) and (1313) follows:
% 71.77/33.33 | (1298) distinct_lines(all_0_8_8, all_0_9_9) = all_461_0_7906
% 71.77/33.33 |
% 71.77/33.33 +-Applying beta-rule and splitting (1151), into two cases.
% 71.77/33.33 |-Branch one:
% 71.77/33.33 | (1317) (all_437_0_7900 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (all_437_0_7900 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0) | ( ~ (all_437_0_7900 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = all_437_0_7900)
% 71.77/33.33 |
% 71.77/33.33 +-Applying beta-rule and splitting (1317), into two cases.
% 71.77/33.33 |-Branch one:
% 71.77/33.33 | (1318) (all_437_0_7900 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0) | (all_437_0_7900 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0)
% 71.77/33.33 |
% 71.77/33.33 +-Applying beta-rule and splitting (1318), into two cases.
% 71.77/33.33 |-Branch one:
% 71.77/33.33 | (1319) all_437_0_7900 = 0 & apart_point_and_line(all_0_2_2, all_0_9_9) = 0
% 71.77/33.33 |
% 71.77/33.33 | Applying alpha-rule on (1319) yields:
% 71.77/33.33 | (1320) all_437_0_7900 = 0
% 71.77/33.33 | (753) apart_point_and_line(all_0_2_2, all_0_9_9) = 0
% 71.77/33.33 |
% 71.77/33.33 | Instantiating formula (121) with all_0_2_2, all_0_9_9, 0, all_0_1_1 and discharging atoms apart_point_and_line(all_0_2_2, all_0_9_9) = all_0_1_1, apart_point_and_line(all_0_2_2, all_0_9_9) = 0, yields:
% 71.77/33.33 | (198) all_0_1_1 = 0
% 71.77/33.33 |
% 71.77/33.33 | Equations (198) can reduce 63 to:
% 71.77/33.33 | (189) $false
% 71.77/33.33 |
% 71.77/33.33 |-The branch is then unsatisfiable
% 71.77/33.33 |-Branch two:
% 71.77/33.33 | (1324) all_437_0_7900 = 0 & apart_point_and_line(all_0_5_5, all_0_8_8) = 0
% 71.77/33.33 |
% 71.77/33.33 | Applying alpha-rule on (1324) yields:
% 71.77/33.33 | (1320) all_437_0_7900 = 0
% 71.77/33.33 | (758) apart_point_and_line(all_0_5_5, all_0_8_8) = 0
% 71.77/33.33 |
% 71.77/33.33 | Instantiating formula (121) with all_0_5_5, all_0_8_8, 0, all_50_0_67 and discharging atoms apart_point_and_line(all_0_5_5, all_0_8_8) = all_50_0_67, apart_point_and_line(all_0_5_5, all_0_8_8) = 0, yields:
% 71.77/33.33 | (340) all_50_0_67 = 0
% 71.77/33.33 |
% 71.77/33.33 | Equations (340) can reduce 172 to:
% 71.77/33.33 | (189) $false
% 71.77/33.33 |
% 71.77/33.33 |-The branch is then unsatisfiable
% 71.77/33.33 |-Branch two:
% 71.77/33.33 | (1329) ~ (all_437_0_7900 = 0) & distinct_lines(all_0_8_8, all_0_9_9) = all_437_0_7900
% 71.77/33.33 |
% 71.77/33.33 | Applying alpha-rule on (1329) yields:
% 71.77/33.33 | (1330) ~ (all_437_0_7900 = 0)
% 71.77/33.33 | (1331) distinct_lines(all_0_8_8, all_0_9_9) = all_437_0_7900
% 71.77/33.33 |
% 71.77/33.33 | Instantiating formula (9) with all_0_8_8, all_0_9_9, all_437_0_7900, all_461_0_7906 and discharging atoms distinct_lines(all_0_8_8, all_0_9_9) = all_461_0_7906, distinct_lines(all_0_8_8, all_0_9_9) = all_437_0_7900, yields:
% 71.77/33.33 | (1332) all_461_0_7906 = all_437_0_7900
% 71.77/33.33 |
% 71.77/33.33 | Equations (1332) can reduce 1297 to:
% 71.77/33.33 | (1330) ~ (all_437_0_7900 = 0)
% 71.77/33.33 |
% 71.77/33.33 | From (1332) and (1298) follows:
% 71.77/33.33 | (1331) distinct_lines(all_0_8_8, all_0_9_9) = all_437_0_7900
% 71.77/33.33 |
% 71.77/33.33 | Instantiating formula (123) with all_437_0_7900, all_0_9_9, all_0_8_8, all_0_9_9 and discharging atoms convergent_lines(all_0_9_9, all_0_8_8) = 0, distinct_lines(all_0_8_8, all_0_9_9) = all_437_0_7900, yields:
% 71.77/33.33 | (1335) all_437_0_7900 = 0 | convergent_lines(all_0_9_9, all_0_9_9) = 0
% 71.77/33.33 |
% 71.77/33.33 +-Applying beta-rule and splitting (1335), into two cases.
% 71.77/33.33 |-Branch one:
% 71.77/33.33 | (801) convergent_lines(all_0_9_9, all_0_9_9) = 0
% 71.77/33.33 |
% 71.77/33.33 | Instantiating formula (94) with all_0_9_9 and discharging atoms convergent_lines(all_0_9_9, all_0_9_9) = 0, yields:
% 71.77/33.33 | (802) $false
% 71.77/33.33 |
% 71.77/33.33 |-The branch is then unsatisfiable
% 71.77/33.33 |-Branch two:
% 71.77/33.33 | (803) ~ (convergent_lines(all_0_9_9, all_0_9_9) = 0)
% 71.77/33.33 | (1320) all_437_0_7900 = 0
% 71.77/33.33 |
% 71.77/33.33 | Equations (1320) can reduce 1330 to:
% 71.77/33.33 | (189) $false
% 71.77/33.33 |
% 71.77/33.33 |-The branch is then unsatisfiable
% 71.77/33.33 |-Branch two:
% 71.77/33.33 | (1341) ~ (all_437_0_7900 = 0) & distinct_points(all_0_2_2, all_0_5_5) = all_437_0_7900
% 71.77/33.33 |
% 71.77/33.33 | Applying alpha-rule on (1341) yields:
% 71.77/33.33 | (1330) ~ (all_437_0_7900 = 0)
% 71.77/33.33 | (1343) distinct_points(all_0_2_2, all_0_5_5) = all_437_0_7900
% 71.77/33.33 |
% 71.77/33.33 | Instantiating formula (110) with all_437_0_7900, all_0_5_5, all_0_2_2, all_0_5_5 and discharging atoms distinct_points(all_0_2_2, all_0_5_5) = all_437_0_7900, distinct_points(all_0_5_5, all_0_2_2) = 0, yields:
% 71.77/33.33 | (1344) all_437_0_7900 = 0 | distinct_points(all_0_5_5, all_0_5_5) = 0
% 71.77/33.33 |
% 71.77/33.33 +-Applying beta-rule and splitting (1344), into two cases.
% 71.77/33.33 |-Branch one:
% 71.77/33.33 | (810) distinct_points(all_0_5_5, all_0_5_5) = 0
% 71.77/33.33 |
% 71.77/33.33 | Instantiating formula (41) with all_0_5_5 and discharging atoms distinct_points(all_0_5_5, all_0_5_5) = 0, yields:
% 71.77/33.33 | (802) $false
% 71.77/33.33 |
% 71.77/33.33 |-The branch is then unsatisfiable
% 71.77/33.33 |-Branch two:
% 71.77/33.33 | (812) ~ (distinct_points(all_0_5_5, all_0_5_5) = 0)
% 71.77/33.33 | (1320) all_437_0_7900 = 0
% 71.77/33.33 |
% 71.77/33.33 | Equations (1320) can reduce 1330 to:
% 71.77/33.33 | (189) $false
% 71.77/33.33 |
% 71.77/33.33 |-The branch is then unsatisfiable
% 71.77/33.34 |-Branch two:
% 71.77/33.34 | (1350) ~ (all_562_0_7931 = 0) & distinct_points(all_0_5_5, all_0_2_2) = all_562_0_7931
% 71.77/33.34 |
% 71.77/33.34 | Applying alpha-rule on (1350) yields:
% 71.77/33.34 | (1312) ~ (all_562_0_7931 = 0)
% 71.77/33.34 | (1352) distinct_points(all_0_5_5, all_0_2_2) = all_562_0_7931
% 71.77/33.34 |
% 71.77/33.34 | Instantiating formula (97) with all_0_5_5, all_0_2_2, 0, all_562_0_7931 and discharging atoms distinct_points(all_0_5_5, all_0_2_2) = all_562_0_7931, distinct_points(all_0_5_5, all_0_2_2) = 0, yields:
% 71.77/33.34 | (1302) all_562_0_7931 = 0
% 71.77/33.34 |
% 71.77/33.34 | Equations (1302) can reduce 1312 to:
% 71.77/33.34 | (189) $false
% 71.77/33.34 |
% 71.77/33.34 |-The branch is then unsatisfiable
% 71.77/33.34 |-Branch two:
% 71.77/33.34 | (1355) ~ (all_461_0_7906 = 0) & distinct_points(all_0_5_5, all_0_2_2) = all_461_0_7906
% 71.77/33.34 |
% 71.77/33.34 | Applying alpha-rule on (1355) yields:
% 71.77/33.34 | (1297) ~ (all_461_0_7906 = 0)
% 71.77/33.34 | (1357) distinct_points(all_0_5_5, all_0_2_2) = all_461_0_7906
% 71.77/33.34 |
% 71.77/33.34 | Instantiating formula (97) with all_0_5_5, all_0_2_2, 0, all_461_0_7906 and discharging atoms distinct_points(all_0_5_5, all_0_2_2) = all_461_0_7906, distinct_points(all_0_5_5, all_0_2_2) = 0, yields:
% 71.77/33.34 | (1287) all_461_0_7906 = 0
% 71.77/33.34 |
% 71.77/33.34 | Equations (1287) can reduce 1297 to:
% 71.77/33.34 | (189) $false
% 71.77/33.34 |
% 71.77/33.34 |-The branch is then unsatisfiable
% 71.77/33.34 |-Branch two:
% 71.77/33.34 | (825) ~ (distinct_points(all_0_5_5, all_0_2_2) = 0)
% 71.77/33.34 | (332) all_46_0_62 = 0
% 71.77/33.34 |
% 71.77/33.34 | Equations (332) can reduce 186 to:
% 71.77/33.34 | (189) $false
% 71.77/33.34 |
% 71.77/33.34 |-The branch is then unsatisfiable
% 71.77/33.34 |-Branch two:
% 71.77/33.34 | (1363) ~ (all_45_0_61 = 0) & convergent_lines(all_0_9_9, all_0_8_8) = all_45_0_61
% 71.77/33.34 |
% 71.77/33.34 | Applying alpha-rule on (1363) yields:
% 71.77/33.34 | (203) ~ (all_45_0_61 = 0)
% 71.77/33.34 | (1365) convergent_lines(all_0_9_9, all_0_8_8) = all_45_0_61
% 71.77/33.34 |
% 71.77/33.34 | Instantiating formula (120) with all_0_9_9, all_0_8_8, all_45_0_61, 0 and discharging atoms convergent_lines(all_0_9_9, all_0_8_8) = all_45_0_61, convergent_lines(all_0_9_9, all_0_8_8) = 0, yields:
% 71.77/33.34 | (1366) all_45_0_61 = 0
% 71.77/33.34 |
% 71.77/33.34 | Equations (1366) can reduce 203 to:
% 71.77/33.34 | (189) $false
% 71.77/33.34 |
% 71.77/33.34 |-The branch is then unsatisfiable
% 71.77/33.34 |-Branch two:
% 71.77/33.34 | (1368) ~ (all_63_0_82 = 0) & convergent_lines(all_0_7_7, all_0_6_6) = all_63_0_82
% 71.77/33.34 |
% 71.77/33.34 | Applying alpha-rule on (1368) yields:
% 71.77/33.34 | (196) ~ (all_63_0_82 = 0)
% 71.77/33.34 | (1370) convergent_lines(all_0_7_7, all_0_6_6) = all_63_0_82
% 71.77/33.34 |
% 71.77/33.34 | Instantiating formula (120) with all_0_7_7, all_0_6_6, all_63_0_82, 0 and discharging atoms convergent_lines(all_0_7_7, all_0_6_6) = all_63_0_82, convergent_lines(all_0_7_7, all_0_6_6) = 0, yields:
% 71.77/33.34 | (1371) all_63_0_82 = 0
% 71.77/33.34 |
% 71.77/33.34 | Equations (1371) can reduce 196 to:
% 71.77/33.34 | (189) $false
% 71.77/33.34 |
% 71.77/33.34 |-The branch is then unsatisfiable
% 71.77/33.34 |-Branch two:
% 71.77/33.34 | (1373) ~ (all_64_0_83 = 0) & convergent_lines(all_0_9_9, all_0_8_8) = all_64_0_83
% 71.77/33.34 |
% 71.77/33.34 | Applying alpha-rule on (1373) yields:
% 71.77/33.34 | (193) ~ (all_64_0_83 = 0)
% 71.77/33.34 | (1375) convergent_lines(all_0_9_9, all_0_8_8) = all_64_0_83
% 71.77/33.34 |
% 71.77/33.34 | Instantiating formula (120) with all_0_9_9, all_0_8_8, all_64_0_83, 0 and discharging atoms convergent_lines(all_0_9_9, all_0_8_8) = all_64_0_83, convergent_lines(all_0_9_9, all_0_8_8) = 0, yields:
% 71.77/33.34 | (1376) all_64_0_83 = 0
% 71.77/33.34 |
% 71.77/33.34 | Equations (1376) can reduce 193 to:
% 71.77/33.34 | (189) $false
% 71.77/33.34 |
% 71.77/33.34 |-The branch is then unsatisfiable
% 71.77/33.34 |-Branch two:
% 71.77/33.34 | (1378) ~ (all_46_0_62 = 0) & convergent_lines(all_0_7_7, all_0_6_6) = all_46_0_62
% 71.77/33.34 |
% 71.77/33.34 | Applying alpha-rule on (1378) yields:
% 71.77/33.34 | (186) ~ (all_46_0_62 = 0)
% 71.77/33.34 | (1380) convergent_lines(all_0_7_7, all_0_6_6) = all_46_0_62
% 71.77/33.34 |
% 71.77/33.34 | Instantiating formula (120) with all_0_7_7, all_0_6_6, all_46_0_62, 0 and discharging atoms convergent_lines(all_0_7_7, all_0_6_6) = all_46_0_62, convergent_lines(all_0_7_7, all_0_6_6) = 0, yields:
% 71.77/33.34 | (332) all_46_0_62 = 0
% 71.77/33.34 |
% 71.77/33.34 | Equations (332) can reduce 186 to:
% 71.77/33.34 | (189) $false
% 71.77/33.34 |
% 71.77/33.34 |-The branch is then unsatisfiable
% 71.77/33.34 % SZS output end Proof for theBenchmark
% 71.77/33.34
% 71.77/33.34 32726ms
%------------------------------------------------------------------------------