%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO191+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:17:23 PM UTC 2026
% Result : Theorem 29.58s 4.29s
% Output : Proof 29.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO191+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n007.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 11:20:37 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 29.58/4.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.58/4.29 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.58/4.29 fof(sdef3, definition, (spl3 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl3])], [avatar_definition])).
% 29.58/4.29 cnf(p133, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | ~spl3), inference(avatar_component_clause, [status(thm)], [sdef3])).
% 29.58/4.29 fof(f0, axiom, ! [X] : ~ distinct_points(X,X), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart1)).
% 29.58/4.29 fof(f0_nnf, plain, ! [X] : (~(distinct_points(X,X))), inference(nnf_transformation, [status(thm)], [f0])).
% 29.58/4.29 fof(f0_sk, plain, ! [X] : (~(distinct_points(X,X))), inference(skolemisation, [status(esa)], [f0_nnf])).
% 29.58/4.29 cnf(c0, plain, ~distinct_points(X0,X0), inference(cnf_transformation, [status(esa)], [f0_sk])).
% 29.58/4.29 cnf(p140, plain, ($false | ~spl3), inference(resolution, [status(thm)], [p133, c0])).
% 29.58/4.29 cnf(sct0, plain, (~spl3), inference(avatar_contradiction_clause, [status(thm)], [p140])).
% 29.58/4.29 fof(sdef84, definition, (spl84 <=> (convergent_lines(sk0,sk0))), introduced(definition, [new_symbols(naming, [spl84])], [avatar_definition])).
% 29.58/4.29 cnf(p863, plain, (convergent_lines(sk0,sk0) | ~spl84), inference(avatar_component_clause, [status(thm)], [sdef84])).
% 29.58/4.29 fof(f2, axiom, ! [X] : ~ convergent_lines(X,X), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart3)).
% 29.58/4.29 fof(f2_nnf, plain, ! [X] : (~(convergent_lines(X,X))), inference(nnf_transformation, [status(thm)], [f2])).
% 29.58/4.29 fof(f2_sk, plain, ! [X] : (~(convergent_lines(X,X))), inference(skolemisation, [status(esa)], [f2_nnf])).
% 29.58/4.29 cnf(c2, plain, ~convergent_lines(X0,X0), inference(cnf_transformation, [status(esa)], [f2_sk])).
% 29.58/4.29 cnf(p872, plain, ($false | ~spl84), inference(resolution, [status(thm)], [p863, c2])).
% 29.58/4.29 cnf(sct1, plain, (~spl84), inference(avatar_contradiction_clause, [status(thm)], [p872])).
% 29.58/4.29 fof(sdef89, definition, (spl89 <=> (convergent_lines(sk1,sk1))), introduced(definition, [new_symbols(naming, [spl89])], [avatar_definition])).
% 29.58/4.29 cnf(p902, plain, (convergent_lines(sk1,sk1) | ~spl89), inference(avatar_component_clause, [status(thm)], [sdef89])).
% 29.58/4.29 cnf(p905, plain, ($false | ~spl89), inference(resolution, [status(thm)], [p902, c2])).
% 29.58/4.29 cnf(sct2, plain, (~spl89), inference(avatar_contradiction_clause, [status(thm)], [p905])).
% 29.58/4.29 fof(sdef44, definition, (spl44 <=> (apart_point_and_line(intersection_point(sk2,sk3),sk0))), introduced(definition, [new_symbols(naming, [spl44])], [avatar_definition])).
% 29.58/4.29 cnf(p745, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk0) | ~spl44), inference(avatar_component_clause, [status(thm)], [sdef44])).
% 29.58/4.29 fof(f12, conjecture, ! [X,Y,U,V] : ( ( convergent_lines(X,Y) & convergent_lines(U,V) & ( apart_point_and_line(intersection_point(X,Y),U) | apart_point_and_line(intersection_point(X,Y),V) ) ) => ( apart_point_and_line(intersection_point(U,V),X) | apart_point_and_line(intersection_point(U,V),Y) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 29.58/4.29 fof(f12_neg, negated_conjecture, ~(! [X,Y,U,V] : ( ( convergent_lines(X,Y) & convergent_lines(U,V) & ( apart_point_and_line(intersection_point(X,Y),U) | apart_point_and_line(intersection_point(X,Y),V) ) ) => ( apart_point_and_line(intersection_point(U,V),X) | apart_point_and_line(intersection_point(U,V),Y) ) )), inference(negated_conjecture, [status(cth)], [f12])).
% 29.58/4.29 fof(f12_nnf, plain, ? [X,Y,U,V] : ((((convergent_lines(X,Y) & convergent_lines(U,V)) & (apart_point_and_line(intersection_point(X,Y),U) | apart_point_and_line(intersection_point(X,Y),V))) & (~(apart_point_and_line(intersection_point(U,V),X)) & ~(apart_point_and_line(intersection_point(U,V),Y))))), inference(nnf_transformation, [status(thm)], [f12_neg])).
% 29.58/4.29 fof(f12_sk, plain, (((convergent_lines(sk0,sk1) & convergent_lines(sk2,sk3)) & (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3))) & (~(apart_point_and_line(intersection_point(sk2,sk3),sk0)) & ~(apart_point_and_line(intersection_point(sk2,sk3),sk1)))), inference(skolemisation, [status(esa), new_symbols(skolem, [sk0,sk1,sk2,sk3])], [f12_nnf])).
% 29.58/4.29 cnf(c17, plain, ~apart_point_and_line(intersection_point(sk2,sk3),sk0), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 29.58/4.29 cnf(p906, plain, ($false | ~spl44), inference(resolution, [status(thm)], [p745, c17])).
% 29.58/4.29 cnf(sct3, plain, (~spl44), inference(avatar_contradiction_clause, [status(thm)], [p906])).
% 29.58/4.29 fof(sdef45, definition, (spl45 <=> (apart_point_and_line(intersection_point(sk2,sk3),sk1))), introduced(definition, [new_symbols(naming, [spl45])], [avatar_definition])).
% 29.58/4.29 cnf(p746, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | ~spl45), inference(avatar_component_clause, [status(thm)], [sdef45])).
% 29.58/4.29 cnf(c18, plain, ~apart_point_and_line(intersection_point(sk2,sk3),sk1), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 29.58/4.29 cnf(p920, plain, ($false | ~spl45), inference(resolution, [status(thm)], [p746, c18])).
% 29.58/4.29 cnf(sct4, plain, (~spl45), inference(avatar_contradiction_clause, [status(thm)], [p920])).
% 29.58/4.29 fof(sdef95, definition, (spl95 <=> (convergent_lines(sk2,sk2))), introduced(definition, [new_symbols(naming, [spl95])], [avatar_definition])).
% 29.58/4.29 cnf(p983, plain, (convergent_lines(sk2,sk2) | ~spl95), inference(avatar_component_clause, [status(thm)], [sdef95])).
% 29.58/4.29 cnf(p990, plain, ($false | ~spl95), inference(resolution, [status(thm)], [p983, c2])).
% 29.58/4.29 cnf(sct5, plain, (~spl95), inference(avatar_contradiction_clause, [status(thm)], [p990])).
% 29.58/4.29 fof(sdef42, definition, (spl42 <=> (apart_point_and_line(intersection_point(sk0,sk1),sk0))), introduced(definition, [new_symbols(naming, [spl42])], [avatar_definition])).
% 29.58/4.29 cnf(p743, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | ~spl42), inference(avatar_component_clause, [status(thm)], [sdef42])).
% 29.58/4.29 fof(f7, axiom, ! [X,Y,Z] : ( convergent_lines(X,Y) => ( ( apart_point_and_line(Z,X) | apart_point_and_line(Z,Y) ) => distinct_points(Z,intersection_point(X,Y)) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con2)).
% 29.58/4.29 fof(f7_nnf, plain, ! [X,Y,Z] : ((~(convergent_lines(X,Y)) | ((~(apart_point_and_line(Z,X)) & ~(apart_point_and_line(Z,Y))) | distinct_points(Z,intersection_point(X,Y))))), inference(nnf_transformation, [status(thm)], [f7])).
% 29.58/4.29 fof(f7_sk, plain, ! [X,Y,Z] : ((~(convergent_lines(X,Y)) | ((~(apart_point_and_line(Z,X)) & ~(apart_point_and_line(Z,Y))) | distinct_points(Z,intersection_point(X,Y))))), inference(skolemisation, [status(esa)], [f7_nnf])).
% 29.58/4.29 cnf(c8, plain, ~convergent_lines(X0,X1) | ~apart_point_and_line(X2,X0) | distinct_points(X2,intersection_point(X0,X1)), inference(cnf_transformation, [status(esa)], [f7_sk])).
% 29.58/4.29 cnf(c14, plain, convergent_lines(sk0,sk1), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 29.58/4.29 cnf(p47, plain, ~apart_point_and_line(X0,sk0) | distinct_points(X0,intersection_point(sk0,sk1)), inference(resolution, [status(thm)], [c8, c14])).
% 29.58/4.29 cnf(p856, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | ~spl42), inference(resolution, [status(thm)], [p743, p47])).
% 29.58/4.29 cnf(p1003, plain, ($false | ~spl42), inference(resolution, [status(thm)], [p856, c0])).
% 29.58/4.29 cnf(sct6, plain, (~spl42), inference(avatar_contradiction_clause, [status(thm)], [p1003])).
% 29.58/4.29 fof(sdef103, definition, (spl103 <=> (convergent_lines(sk3,sk3))), introduced(definition, [new_symbols(naming, [spl103])], [avatar_definition])).
% 29.58/4.29 cnf(p1028, plain, (convergent_lines(sk3,sk3) | ~spl103), inference(avatar_component_clause, [status(thm)], [sdef103])).
% 29.58/4.29 cnf(p1029, plain, ($false | ~spl103), inference(resolution, [status(thm)], [p1028, c2])).
% 29.58/4.29 cnf(sct7, plain, (~spl103), inference(avatar_contradiction_clause, [status(thm)], [p1029])).
% 29.58/4.29 fof(sdef43, definition, (spl43 <=> (apart_point_and_line(intersection_point(sk0,sk1),sk1))), introduced(definition, [new_symbols(naming, [spl43])], [avatar_definition])).
% 29.58/4.29 cnf(p744, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | ~spl43), inference(avatar_component_clause, [status(thm)], [sdef43])).
% 29.58/4.29 cnf(c9, plain, ~convergent_lines(X0,X1) | ~apart_point_and_line(X2,X1) | distinct_points(X2,intersection_point(X0,X1)), inference(cnf_transformation, [status(esa)], [f7_sk])).
% 29.58/4.29 cnf(p67, plain, ~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk0,sk1)), inference(resolution, [status(thm)], [c9, c14])).
% 29.58/4.29 cnf(p893, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | ~spl43), inference(resolution, [status(thm)], [p744, p67])).
% 29.58/4.29 cnf(p1030, plain, ($false | ~spl43), inference(resolution, [status(thm)], [p893, c0])).
% 29.58/4.29 cnf(sct8, plain, (~spl43), inference(avatar_contradiction_clause, [status(thm)], [p1030])).
% 29.58/4.29 fof(sdef9, definition, (spl9 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)) | distinct_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl9])], [avatar_definition])).
% 29.58/4.29 cnf(p323, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)) | distinct_lines(sk1,X0) | ~spl9), inference(avatar_component_clause, [status(thm)], [sdef9])).
% 29.58/4.29 cnf(p1456, plain, (distinct_lines(sk1,sk1) | ~spl9), inference(resolution, [status(thm)], [p323, c0])).
% 29.58/4.29 fof(f1, axiom, ! [X] : ~ distinct_lines(X,X), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart2)).
% 29.58/4.29 fof(f1_nnf, plain, ! [X] : (~(distinct_lines(X,X))), inference(nnf_transformation, [status(thm)], [f1])).
% 29.58/4.29 fof(f1_sk, plain, ! [X] : (~(distinct_lines(X,X))), inference(skolemisation, [status(esa)], [f1_nnf])).
% 29.58/4.29 cnf(c1, plain, ~distinct_lines(X0,X0), inference(cnf_transformation, [status(esa)], [f1_sk])).
% 29.58/4.29 cnf(p1461, plain, ($false | ~spl9), inference(resolution, [status(thm)], [p1456, c1])).
% 29.58/4.29 cnf(sct9, plain, (~spl9), inference(avatar_contradiction_clause, [status(thm)], [p1461])).
% 29.58/4.29 fof(sdef32, definition, (spl32 <=> (convergent_lines(X0,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)))), introduced(definition, [new_symbols(naming, [spl32])], [avatar_definition])).
% 29.58/4.29 cnf(p615, plain, (convergent_lines(X0,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)) | ~spl32), inference(avatar_component_clause, [status(thm)], [sdef32])).
% 29.58/4.29 cnf(p1691, plain, (convergent_lines(sk1,sk1) | ~spl32), inference(resolution, [status(thm)], [p615, c0])).
% 29.58/4.29 cnf(p1696, plain, ($false | ~spl32), inference(resolution, [status(thm)], [p1691, c2])).
% 29.58/4.29 cnf(sct10, plain, (~spl32), inference(avatar_contradiction_clause, [status(thm)], [p1696])).
% 29.58/4.29 fof(sdef183, definition, (spl183 <=> (distinct_lines(sk3,sk3))), introduced(definition, [new_symbols(naming, [spl183])], [avatar_definition])).
% 29.58/4.29 cnf(p1744, plain, (distinct_lines(sk3,sk3) | ~spl183), inference(avatar_component_clause, [status(thm)], [sdef183])).
% 29.58/4.29 cnf(p1815, plain, ($false | ~spl183), inference(resolution, [status(thm)], [p1744, c1])).
% 29.58/4.29 cnf(sct11, plain, (~spl183), inference(avatar_contradiction_clause, [status(thm)], [p1815])).
% 29.58/4.29 fof(sdef37, definition, (spl37 <=> (convergent_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk1)))), introduced(definition, [new_symbols(naming, [spl37])], [avatar_definition])).
% 29.58/4.29 cnf(p672, plain, (convergent_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk1)) | ~spl37), inference(avatar_component_clause, [status(thm)], [sdef37])).
% 29.58/4.29 cnf(p1907, plain, (convergent_lines(sk0,sk0) | ~spl37), inference(resolution, [status(thm)], [p672, c0])).
% 29.58/4.29 cnf(p1922, plain, ($false | ~spl37), inference(resolution, [status(thm)], [p1907, c2])).
% 29.58/4.29 cnf(sct12, plain, (~spl37), inference(avatar_contradiction_clause, [status(thm)], [p1922])).
% 29.58/4.29 fof(sdef40, definition, (spl40 <=> (distinct_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk1)))), introduced(definition, [new_symbols(naming, [spl40])], [avatar_definition])).
% 29.58/4.29 cnf(p695, plain, (distinct_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk1)) | ~spl40), inference(avatar_component_clause, [status(thm)], [sdef40])).
% 29.58/4.29 cnf(p1969, plain, (distinct_lines(sk0,sk0) | ~spl40), inference(resolution, [status(thm)], [p695, c0])).
% 29.58/4.29 cnf(p1974, plain, ($false | ~spl40), inference(resolution, [status(thm)], [p1969, c1])).
% 29.58/4.29 cnf(sct13, plain, (~spl40), inference(avatar_contradiction_clause, [status(thm)], [p1974])).
% 29.58/4.29 fof(sdef41, definition, (spl41 <=> (distinct_lines(X0,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)))), introduced(definition, [new_symbols(naming, [spl41])], [avatar_definition])).
% 29.58/4.29 cnf(p713, plain, (distinct_lines(X0,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)) | ~spl41), inference(avatar_component_clause, [status(thm)], [sdef41])).
% 29.58/4.29 cnf(p1991, plain, (distinct_lines(sk1,sk1) | ~spl41), inference(resolution, [status(thm)], [p713, c0])).
% 29.58/4.29 cnf(p1996, plain, ($false | ~spl41), inference(resolution, [status(thm)], [p1991, c1])).
% 29.58/4.29 cnf(sct14, plain, (~spl41), inference(avatar_contradiction_clause, [status(thm)], [p1996])).
% 29.58/4.29 fof(sdef85, definition, (spl85 <=> (convergent_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)))), introduced(definition, [new_symbols(naming, [spl85])], [avatar_definition])).
% 29.58/4.29 cnf(p864, plain, (convergent_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)) | ~spl85), inference(avatar_component_clause, [status(thm)], [sdef85])).
% 29.58/4.29 cnf(p2186, plain, (convergent_lines(sk1,sk1) | ~spl85), inference(resolution, [status(thm)], [p864, c0])).
% 29.58/4.29 cnf(p2191, plain, ($false | ~spl85), inference(resolution, [status(thm)], [p2186, c2])).
% 29.58/4.29 cnf(sct15, plain, (~spl85), inference(avatar_contradiction_clause, [status(thm)], [p2191])).
% 29.58/4.29 fof(sdef102, definition, (spl102 <=> (convergent_lines(sk2,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk3)))), introduced(definition, [new_symbols(naming, [spl102])], [avatar_definition])).
% 29.58/4.29 cnf(p1027, plain, (convergent_lines(sk2,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk3)) | ~spl102), inference(avatar_component_clause, [status(thm)], [sdef102])).
% 29.58/4.29 cnf(p2478, plain, (convergent_lines(sk2,sk2) | ~spl102), inference(resolution, [status(thm)], [p1027, c0])).
% 29.58/4.29 cnf(p2494, plain, ($false | ~spl102), inference(resolution, [status(thm)], [p2478, c2])).
% 29.58/4.29 cnf(sct16, plain, (~spl102), inference(avatar_contradiction_clause, [status(thm)], [p2494])).
% 29.58/4.29 fof(sdef182, definition, (spl182 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl182])], [avatar_definition])).
% 29.58/4.29 cnf(p1740, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk0,sk1)) | ~spl182), inference(avatar_component_clause, [status(thm)], [sdef182])).
% 29.58/4.29 cnf(p3490, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | ~spl182), inference(factoring, [status(thm)], [p1740])).
% 29.58/4.29 cnf(p3499, plain, ($false | ~spl182), inference(resolution, [status(thm)], [p3490, c0])).
% 29.58/4.29 cnf(sct17, plain, (~spl182), inference(avatar_contradiction_clause, [status(thm)], [p3499])).
% 29.58/4.29 cnf(c16, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 29.58/4.29 fof(sdef0, definition, (spl0 <=> (apart_point_and_line(intersection_point(sk0,sk1),sk2))), introduced(definition, [new_symbols(naming, [spl0])], [avatar_definition])).
% 29.58/4.29 fof(sdef1, definition, (spl1 <=> (apart_point_and_line(intersection_point(sk0,sk1),sk3))), introduced(definition, [new_symbols(naming, [spl1])], [avatar_definition])).
% 29.58/4.29 cnf(ssp0, plain, (spl0 | spl1), inference(avatar_split_clause, [status(thm)], [c16, sdef0, sdef1])).
% 29.58/4.29 fof(f10, axiom, ! [X,Y,Z] : ( apart_point_and_line(X,Y) => ( distinct_lines(Y,Z) | apart_point_and_line(X,Z) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ceq2)).
% 29.58/4.29 fof(f10_nnf, plain, ! [X,Y,Z] : ((~(apart_point_and_line(X,Y)) | (distinct_lines(Y,Z) | apart_point_and_line(X,Z)))), inference(nnf_transformation, [status(thm)], [f10])).
% 29.58/4.29 fof(f10_sk, plain, ! [X,Y,Z] : ((~(apart_point_and_line(X,Y)) | (distinct_lines(Y,Z) | apart_point_and_line(X,Z)))), inference(skolemisation, [status(esa)], [f10_nnf])).
% 29.58/4.29 cnf(c12, plain, ~apart_point_and_line(X0,X1) | distinct_lines(X1,X2) | apart_point_and_line(X0,X2), inference(cnf_transformation, [status(esa)], [f10_sk])).
% 29.58/4.29 cnf(p17, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | ~spl0), inference(avatar_component_clause, [status(thm)], [sdef0])).
% 29.58/4.29 cnf(p129, plain, (distinct_lines(sk2,X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | ~spl0), inference(resolution, [status(thm)], [c12, p17])).
% 29.58/4.29 cnf(p131, plain, (distinct_lines(sk2,sk0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | ~spl0), inference(resolution, [status(thm)], [p129, p47])).
% 29.58/4.29 fof(sdef2, definition, (spl2 <=> (distinct_lines(sk2,sk0))), introduced(definition, [new_symbols(naming, [spl2])], [avatar_definition])).
% 29.58/4.29 cnf(ssp1, plain, (~spl0 | spl2 | spl3), inference(avatar_split_clause, [status(thm)], [p131, sdef2, sdef3])).
% 29.58/4.29 cnf(p134, plain, (distinct_lines(sk2,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | ~spl0), inference(resolution, [status(thm)], [p129, p67])).
% 29.58/4.29 fof(sdef4, definition, (spl4 <=> (distinct_lines(sk2,sk1))), introduced(definition, [new_symbols(naming, [spl4])], [avatar_definition])).
% 29.58/4.29 cnf(ssp2, plain, (~spl0 | spl3 | spl4), inference(avatar_split_clause, [status(thm)], [p134, sdef3, sdef4])).
% 29.58/4.29 cnf(p18, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | ~spl1), inference(avatar_component_clause, [status(thm)], [sdef1])).
% 29.58/4.29 cnf(p130, plain, (distinct_lines(sk3,X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | ~spl1), inference(resolution, [status(thm)], [c12, p18])).
% 29.58/4.29 cnf(p177, plain, (distinct_lines(sk3,sk0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | ~spl1), inference(resolution, [status(thm)], [p130, p47])).
% 29.58/4.29 fof(sdef5, definition, (spl5 <=> (distinct_lines(sk3,sk0))), introduced(definition, [new_symbols(naming, [spl5])], [avatar_definition])).
% 29.58/4.29 cnf(ssp3, plain, (~spl1 | spl3 | spl5), inference(avatar_split_clause, [status(thm)], [p177, sdef3, sdef5])).
% 29.58/4.29 cnf(p179, plain, (distinct_lines(sk3,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | ~spl1), inference(resolution, [status(thm)], [p130, p67])).
% 29.58/4.29 fof(sdef6, definition, (spl6 <=> (distinct_lines(sk3,sk1))), introduced(definition, [new_symbols(naming, [spl6])], [avatar_definition])).
% 29.58/4.29 cnf(ssp4, plain, (~spl1 | spl3 | spl6), inference(avatar_split_clause, [status(thm)], [p179, sdef3, sdef6])).
% 29.58/4.29 fof(f5, axiom, ! [X,Y,Z] : ( convergent_lines(X,Y) => ( convergent_lines(X,Z) | convergent_lines(Y,Z) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart6)).
% 29.58/4.29 fof(f5_nnf, plain, ! [X,Y,Z] : ((~(convergent_lines(X,Y)) | (convergent_lines(X,Z) | convergent_lines(Y,Z)))), inference(nnf_transformation, [status(thm)], [f5])).
% 29.58/4.29 fof(f5_sk, plain, ! [X,Y,Z] : ((~(convergent_lines(X,Y)) | (convergent_lines(X,Z) | convergent_lines(Y,Z)))), inference(skolemisation, [status(esa)], [f5_nnf])).
% 29.58/4.29 cnf(c5, plain, ~convergent_lines(X0,X1) | convergent_lines(X0,X2) | convergent_lines(X1,X2), inference(cnf_transformation, [status(esa)], [f5_sk])).
% 29.58/4.29 cnf(p25, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X0), inference(resolution, [status(thm)], [c5, c14])).
% 29.58/4.29 cnf(p30, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p25, c5])).
% 29.58/4.29 cnf(p57, plain, convergent_lines(sk0,X0) | convergent_lines(X0,sk1), inference(resolution, [status(thm)], [p30, c2])).
% 29.58/4.29 cnf(p78, plain, convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p57, c5])).
% 29.58/4.29 cnf(p234, plain, convergent_lines(X0,sk1) | convergent_lines(X0,sk0), inference(resolution, [status(thm)], [p78, c2])).
% 29.58/4.29 cnf(p245, plain, convergent_lines(sk1,sk0), inference(resolution, [status(thm)], [p234, c2])).
% 29.58/4.29 cnf(p250, plain, ~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk1,sk0)), inference(resolution, [status(thm)], [p245, c8])).
% 29.58/4.29 cnf(p255, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk0)) | distinct_lines(sk2,sk1) | ~spl0), inference(resolution, [status(thm)], [p250, p129])).
% 29.58/4.29 fof(sdef7, definition, (spl7 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl7])], [avatar_definition])).
% 29.58/4.29 cnf(ssp5, plain, (~spl0 | spl4 | spl7), inference(avatar_split_clause, [status(thm)], [p255, sdef4, sdef7])).
% 29.58/4.29 cnf(p257, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk0)) | distinct_lines(sk3,sk1) | ~spl1), inference(resolution, [status(thm)], [p250, p130])).
% 29.58/4.29 cnf(ssp6, plain, (~spl1 | spl6 | spl7), inference(avatar_split_clause, [status(thm)], [p257, sdef6, sdef7])).
% 29.58/4.29 cnf(p251, plain, ~apart_point_and_line(X0,sk0) | distinct_points(X0,intersection_point(sk1,sk0)), inference(resolution, [status(thm)], [p245, c9])).
% 29.58/4.29 cnf(p262, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk0)) | distinct_lines(sk2,sk0) | ~spl0), inference(resolution, [status(thm)], [p251, p129])).
% 29.58/4.29 cnf(ssp7, plain, (~spl0 | spl2 | spl7), inference(avatar_split_clause, [status(thm)], [p262, sdef2, sdef7])).
% 29.58/4.29 cnf(p263, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk0)) | distinct_lines(sk3,sk0) | ~spl1), inference(resolution, [status(thm)], [p251, p130])).
% 29.58/4.29 cnf(ssp8, plain, (~spl1 | spl5 | spl7), inference(avatar_split_clause, [status(thm)], [p263, sdef5, sdef7])).
% 29.58/4.29 cnf(p49, plain, ~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk1,X1)) | convergent_lines(sk0,X1), inference(resolution, [status(thm)], [c8, p25])).
% 29.58/4.29 cnf(p272, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,X0)) | convergent_lines(sk0,X0) | distinct_lines(sk2,sk1) | ~spl0), inference(resolution, [status(thm)], [p49, p129])).
% 29.58/4.29 fof(sdef8, definition, (spl8 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,X0)) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl8])], [avatar_definition])).
% 29.58/4.29 cnf(ssp9, plain, (~spl0 | spl4 | spl8), inference(avatar_split_clause, [status(thm)], [p272, sdef4, sdef8])).
% 29.58/4.29 cnf(p274, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,X0)) | convergent_lines(sk0,X0) | distinct_lines(sk3,sk1) | ~spl1), inference(resolution, [status(thm)], [p49, p130])).
% 29.58/4.29 cnf(ssp10, plain, (~spl1 | spl6 | spl8), inference(avatar_split_clause, [status(thm)], [p274, sdef6, sdef8])).
% 29.58/4.29 fof(f11, axiom, ! [X,Y] : ( convergent_lines(X,Y) => distinct_lines(X,Y) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ceq3)).
% 29.58/4.29 fof(f11_nnf, plain, ! [X,Y] : ((~(convergent_lines(X,Y)) | distinct_lines(X,Y))), inference(nnf_transformation, [status(thm)], [f11])).
% 29.58/4.29 fof(f11_sk, plain, ! [X,Y] : ((~(convergent_lines(X,Y)) | distinct_lines(X,Y))), inference(skolemisation, [status(esa)], [f11_nnf])).
% 29.58/4.29 cnf(c13, plain, ~convergent_lines(X0,X1) | distinct_lines(X0,X1), inference(cnf_transformation, [status(esa)], [f11_sk])).
% 29.58/4.29 cnf(p29, plain, convergent_lines(sk0,X0) | distinct_lines(sk1,X0), inference(resolution, [status(thm)], [p25, c13])).
% 29.58/4.29 cnf(p51, plain, ~apart_point_and_line(X0,sk0) | distinct_points(X0,intersection_point(sk0,X1)) | distinct_lines(sk1,X1), inference(resolution, [status(thm)], [c8, p29])).
% 29.58/4.29 cnf(p322, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)) | distinct_lines(sk1,X0) | distinct_lines(sk2,sk0) | ~spl0), inference(resolution, [status(thm)], [p51, p129])).
% 29.58/4.29 cnf(ssp11, plain, (~spl0 | spl2 | spl9), inference(avatar_split_clause, [status(thm)], [p322, sdef2, sdef9])).
% 29.58/4.29 cnf(p324, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)) | distinct_lines(sk1,X0) | distinct_lines(sk3,sk0) | ~spl1), inference(resolution, [status(thm)], [p51, p130])).
% 29.58/4.29 cnf(ssp12, plain, (~spl1 | spl5 | spl9), inference(avatar_split_clause, [status(thm)], [p324, sdef5, sdef9])).
% 29.58/4.29 cnf(c15, plain, convergent_lines(sk2,sk3), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 29.58/4.29 cnf(p48, plain, ~apart_point_and_line(X0,sk2) | distinct_points(X0,intersection_point(sk2,sk3)), inference(resolution, [status(thm)], [c8, c15])).
% 29.58/4.29 cnf(p53, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk3)) | ~spl0), inference(resolution, [status(thm)], [p48, p17])).
% 29.58/4.29 fof(f6, axiom, ! [X,Y,Z] : ( distinct_points(X,Y) => ( apart_point_and_line(Z,line_connecting(X,Y)) => ( distinct_points(Z,X) & distinct_points(Z,Y) ) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con1)).
% 29.58/4.29 fof(f6_nnf, plain, ! [X,Y,Z] : ((~(distinct_points(X,Y)) | (~(apart_point_and_line(Z,line_connecting(X,Y))) | (distinct_points(Z,X) & distinct_points(Z,Y))))), inference(nnf_transformation, [status(thm)], [f6])).
% 29.58/4.29 fof(f6_sk, plain, ! [X,Y,Z] : ((~(distinct_points(X,Y)) | (~(apart_point_and_line(Z,line_connecting(X,Y))) | (distinct_points(Z,X) & distinct_points(Z,Y))))), inference(skolemisation, [status(esa)], [f6_nnf])).
% 29.58/4.29 cnf(c6, plain, ~distinct_points(X0,X1) | ~apart_point_and_line(X2,line_connecting(X0,X1)) | distinct_points(X2,X0), inference(cnf_transformation, [status(esa)], [f6_sk])).
% 29.58/4.29 cnf(p55, plain, (~apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | distinct_points(X0,intersection_point(sk0,sk1)) | ~spl0), inference(resolution, [status(thm)], [p53, c6])).
% 29.58/4.29 cnf(p354, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | distinct_lines(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl0), inference(resolution, [status(thm)], [p55, p129])).
% 29.58/4.29 fof(sdef10, definition, (spl10 <=> (distinct_lines(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))))), introduced(definition, [new_symbols(naming, [spl10])], [avatar_definition])).
% 29.58/4.29 cnf(ssp13, plain, (~spl0 | spl3 | spl10), inference(avatar_split_clause, [status(thm)], [p354, sdef3, sdef10])).
% 29.58/4.29 cnf(p356, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | distinct_lines(sk3,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl0 | ~spl1), inference(resolution, [status(thm)], [p55, p130])).
% 29.58/4.29 fof(sdef11, definition, (spl11 <=> (distinct_lines(sk3,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))))), introduced(definition, [new_symbols(naming, [spl11])], [avatar_definition])).
% 29.58/4.29 cnf(ssp14, plain, (~spl0 | ~spl1 | spl3 | spl11), inference(avatar_split_clause, [status(thm)], [p356, sdef3, sdef11])).
% 29.58/4.29 cnf(p64, plain, convergent_lines(sk1,X0) | convergent_lines(X1,X0) | ~apart_point_and_line(X2,sk0) | distinct_points(X2,intersection_point(sk0,X1)), inference(resolution, [status(thm)], [p30, c8])).
% 29.58/4.29 cnf(p445, plain, (convergent_lines(sk1,X0) | convergent_lines(X1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X1)) | distinct_lines(sk2,sk0) | ~spl0), inference(resolution, [status(thm)], [p64, p129])).
% 29.58/4.29 fof(sdef12, definition, (spl12 <=> (convergent_lines(sk1,X0) | convergent_lines(X1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X1)))), introduced(definition, [new_symbols(naming, [spl12])], [avatar_definition])).
% 29.58/4.29 cnf(ssp15, plain, (~spl0 | spl2 | spl12), inference(avatar_split_clause, [status(thm)], [p445, sdef2, sdef12])).
% 29.58/4.29 cnf(p447, plain, (convergent_lines(sk1,X0) | convergent_lines(X1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X1)) | distinct_lines(sk3,sk0) | ~spl1), inference(resolution, [status(thm)], [p64, p130])).
% 29.58/4.29 cnf(ssp16, plain, (~spl1 | spl5 | spl12), inference(avatar_split_clause, [status(thm)], [p447, sdef5, sdef12])).
% 29.58/4.29 cnf(p65, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | ~apart_point_and_line(X2,sk1) | distinct_points(X2,intersection_point(sk1,X1)), inference(resolution, [status(thm)], [p30, c8])).
% 29.58/4.29 cnf(p465, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,X1)) | distinct_lines(sk2,sk1) | ~spl0), inference(resolution, [status(thm)], [p65, p129])).
% 29.58/4.29 fof(sdef13, definition, (spl13 <=> (convergent_lines(sk0,X0) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,X1)))), introduced(definition, [new_symbols(naming, [spl13])], [avatar_definition])).
% 29.58/4.29 cnf(ssp17, plain, (~spl0 | spl4 | spl13), inference(avatar_split_clause, [status(thm)], [p465, sdef4, sdef13])).
% 29.58/4.29 cnf(p467, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,X1)) | distinct_lines(sk3,sk1) | ~spl1), inference(resolution, [status(thm)], [p65, p130])).
% 29.58/4.29 cnf(ssp18, plain, (~spl1 | spl6 | spl13), inference(avatar_split_clause, [status(thm)], [p467, sdef6, sdef13])).
% 29.58/4.29 cnf(p66, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | ~apart_point_and_line(X2,X0) | distinct_points(X2,intersection_point(X0,X1)), inference(resolution, [status(thm)], [p30, c8])).
% 29.58/4.29 cnf(p490, plain, (convergent_lines(sk0,sk2) | convergent_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)) | ~spl0), inference(resolution, [status(thm)], [p66, p17])).
% 29.58/4.29 fof(sdef14, definition, (spl14 <=> (convergent_lines(sk0,sk2))), introduced(definition, [new_symbols(naming, [spl14])], [avatar_definition])).
% 29.58/4.29 fof(sdef15, definition, (spl15 <=> (convergent_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)))), introduced(definition, [new_symbols(naming, [spl15])], [avatar_definition])).
% 29.58/4.29 cnf(ssp19, plain, (~spl0 | spl14 | spl15), inference(avatar_split_clause, [status(thm)], [p490, sdef14, sdef15])).
% 29.58/4.29 cnf(p493, plain, (convergent_lines(sk0,sk3) | convergent_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,X0)) | ~spl1), inference(resolution, [status(thm)], [p66, p18])).
% 29.58/4.29 fof(sdef16, definition, (spl16 <=> (convergent_lines(sk0,sk3))), introduced(definition, [new_symbols(naming, [spl16])], [avatar_definition])).
% 29.58/4.29 fof(sdef17, definition, (spl17 <=> (convergent_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,X0)))), introduced(definition, [new_symbols(naming, [spl17])], [avatar_definition])).
% 29.58/4.29 cnf(ssp20, plain, (~spl1 | spl16 | spl17), inference(avatar_split_clause, [status(thm)], [p493, sdef16, sdef17])).
% 29.58/4.29 cnf(p69, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(sk1,X1)) | convergent_lines(sk0,X1), inference(resolution, [status(thm)], [c9, p25])).
% 29.58/4.29 cnf(p508, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk2)) | convergent_lines(sk0,sk2) | ~spl0), inference(resolution, [status(thm)], [p69, p17])).
% 29.58/4.29 fof(sdef18, definition, (spl18 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk2)))), introduced(definition, [new_symbols(naming, [spl18])], [avatar_definition])).
% 29.58/4.29 cnf(ssp21, plain, (~spl0 | spl14 | spl18), inference(avatar_split_clause, [status(thm)], [p508, sdef14, sdef18])).
% 29.58/4.29 cnf(p510, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk3)) | convergent_lines(sk0,sk3) | ~spl1), inference(resolution, [status(thm)], [p69, p18])).
% 29.58/4.29 fof(sdef19, definition, (spl19 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk3)))), introduced(definition, [new_symbols(naming, [spl19])], [avatar_definition])).
% 29.58/4.29 cnf(ssp22, plain, (~spl1 | spl16 | spl19), inference(avatar_split_clause, [status(thm)], [p510, sdef16, sdef19])).
% 29.58/4.29 cnf(p71, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(sk0,X1)) | distinct_lines(sk1,X1), inference(resolution, [status(thm)], [c9, p29])).
% 29.58/4.29 cnf(p537, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | distinct_lines(sk1,sk2) | ~spl0), inference(resolution, [status(thm)], [p71, p17])).
% 29.58/4.29 fof(sdef20, definition, (spl20 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl20])], [avatar_definition])).
% 29.58/4.29 fof(sdef21, definition, (spl21 <=> (distinct_lines(sk1,sk2))), introduced(definition, [new_symbols(naming, [spl21])], [avatar_definition])).
% 29.58/4.29 cnf(ssp23, plain, (~spl0 | spl20 | spl21), inference(avatar_split_clause, [status(thm)], [p537, sdef20, sdef21])).
% 29.58/4.29 cnf(p540, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk3)) | distinct_lines(sk1,sk3) | ~spl1), inference(resolution, [status(thm)], [p71, p18])).
% 29.58/4.29 fof(sdef22, definition, (spl22 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk3)))), introduced(definition, [new_symbols(naming, [spl22])], [avatar_definition])).
% 29.58/4.29 fof(sdef23, definition, (spl23 <=> (distinct_lines(sk1,sk3))), introduced(definition, [new_symbols(naming, [spl23])], [avatar_definition])).
% 29.58/4.29 cnf(ssp24, plain, (~spl1 | spl22 | spl23), inference(avatar_split_clause, [status(thm)], [p540, sdef22, sdef23])).
% 29.58/4.29 cnf(p73, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(sk0,X1)) | convergent_lines(sk1,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [c9, p30])).
% 29.58/4.29 cnf(p562, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | convergent_lines(sk1,X0) | convergent_lines(sk2,X0) | ~spl0), inference(resolution, [status(thm)], [p73, p17])).
% 29.58/4.29 fof(sdef24, definition, (spl24 <=> (convergent_lines(sk1,X0) | convergent_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl24])], [avatar_definition])).
% 29.58/4.29 cnf(ssp25, plain, (~spl0 | spl20 | spl24), inference(avatar_split_clause, [status(thm)], [p562, sdef20, sdef24])).
% 29.58/4.29 cnf(p564, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk3)) | convergent_lines(sk1,X0) | convergent_lines(sk3,X0) | ~spl1), inference(resolution, [status(thm)], [p73, p18])).
% 29.58/4.29 fof(sdef25, definition, (spl25 <=> (convergent_lines(sk1,X0) | convergent_lines(sk3,X0))), introduced(definition, [new_symbols(naming, [spl25])], [avatar_definition])).
% 29.58/4.29 cnf(ssp26, plain, (~spl1 | spl22 | spl25), inference(avatar_split_clause, [status(thm)], [p564, sdef22, sdef25])).
% 29.58/4.29 cnf(p74, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(sk1,X1)) | convergent_lines(sk0,X2) | convergent_lines(X2,X1), inference(resolution, [status(thm)], [c9, p30])).
% 29.58/4.29 cnf(p582, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk2)) | convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | ~spl0), inference(resolution, [status(thm)], [p74, p17])).
% 29.58/4.29 fof(sdef26, definition, (spl26 <=> (convergent_lines(sk0,X0) | convergent_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl26])], [avatar_definition])).
% 29.58/4.29 cnf(ssp27, plain, (~spl0 | spl18 | spl26), inference(avatar_split_clause, [status(thm)], [p582, sdef18, sdef26])).
% 29.58/4.29 cnf(p584, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk3)) | convergent_lines(sk0,X0) | convergent_lines(X0,sk3) | ~spl1), inference(resolution, [status(thm)], [p74, p18])).
% 29.58/4.29 fof(sdef27, definition, (spl27 <=> (convergent_lines(sk0,X0) | convergent_lines(X0,sk3))), introduced(definition, [new_symbols(naming, [spl27])], [avatar_definition])).
% 29.58/4.29 cnf(ssp28, plain, (~spl1 | spl19 | spl27), inference(avatar_split_clause, [status(thm)], [p584, sdef19, sdef27])).
% 29.58/4.29 cnf(p75, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(X2,X1)) | convergent_lines(sk0,X2) | convergent_lines(sk1,X1), inference(resolution, [status(thm)], [c9, p30])).
% 29.58/4.29 cnf(p596, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk2)) | convergent_lines(sk0,X0) | convergent_lines(sk1,sk2) | ~spl0), inference(resolution, [status(thm)], [p75, p17])).
% 29.58/4.29 fof(sdef28, definition, (spl28 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk2)) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl28])], [avatar_definition])).
% 29.58/4.29 fof(sdef29, definition, (spl29 <=> (convergent_lines(sk1,sk2))), introduced(definition, [new_symbols(naming, [spl29])], [avatar_definition])).
% 29.58/4.29 cnf(ssp29, plain, (~spl0 | spl28 | spl29), inference(avatar_split_clause, [status(thm)], [p596, sdef28, sdef29])).
% 29.58/4.29 cnf(p599, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk3)) | convergent_lines(sk0,X0) | convergent_lines(sk1,sk3) | ~spl1), inference(resolution, [status(thm)], [p75, p18])).
% 29.58/4.29 fof(sdef30, definition, (spl30 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk3)) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl30])], [avatar_definition])).
% 29.58/4.29 fof(sdef31, definition, (spl31 <=> (convergent_lines(sk1,sk3))), introduced(definition, [new_symbols(naming, [spl31])], [avatar_definition])).
% 29.58/4.29 cnf(ssp30, plain, (~spl1 | spl30 | spl31), inference(avatar_split_clause, [status(thm)], [p599, sdef30, sdef31])).
% 29.58/4.29 cnf(p79, plain, convergent_lines(X0,sk1) | ~apart_point_and_line(X1,sk0) | distinct_points(X1,intersection_point(sk0,X0)), inference(resolution, [status(thm)], [p57, c8])).
% 29.58/4.29 cnf(p614, plain, (convergent_lines(X0,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)) | distinct_lines(sk2,sk0) | ~spl0), inference(resolution, [status(thm)], [p79, p129])).
% 29.58/4.29 cnf(ssp31, plain, (~spl0 | spl2 | spl32), inference(avatar_split_clause, [status(thm)], [p614, sdef2, sdef32])).
% 29.58/4.29 cnf(p616, plain, (convergent_lines(X0,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)) | distinct_lines(sk3,sk0) | ~spl1), inference(resolution, [status(thm)], [p79, p130])).
% 29.58/4.29 cnf(ssp32, plain, (~spl1 | spl5 | spl32), inference(avatar_split_clause, [status(thm)], [p616, sdef5, sdef32])).
% 29.58/4.29 cnf(p80, plain, convergent_lines(sk0,X0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(X0,sk1)), inference(resolution, [status(thm)], [p57, c8])).
% 29.58/4.29 cnf(p631, plain, (convergent_lines(sk0,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk1)) | ~spl0), inference(resolution, [status(thm)], [p80, p17])).
% 29.58/4.29 fof(sdef33, definition, (spl33 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk1)))), introduced(definition, [new_symbols(naming, [spl33])], [avatar_definition])).
% 29.58/4.29 cnf(ssp33, plain, (~spl0 | spl14 | spl33), inference(avatar_split_clause, [status(thm)], [p631, sdef14, sdef33])).
% 29.58/4.29 cnf(p633, plain, (convergent_lines(sk0,sk3) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,sk1)) | ~spl1), inference(resolution, [status(thm)], [p80, p18])).
% 29.58/4.29 fof(sdef34, definition, (spl34 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,sk1)))), introduced(definition, [new_symbols(naming, [spl34])], [avatar_definition])).
% 29.58/4.29 cnf(ssp34, plain, (~spl1 | spl16 | spl34), inference(avatar_split_clause, [status(thm)], [p633, sdef16, sdef34])).
% 29.58/4.29 cnf(p81, plain, convergent_lines(X0,sk1) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(sk0,X0)), inference(resolution, [status(thm)], [p57, c9])).
% 29.58/4.29 cnf(p655, plain, (convergent_lines(sk2,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | ~spl0), inference(resolution, [status(thm)], [p81, p17])).
% 29.58/4.29 fof(sdef35, definition, (spl35 <=> (convergent_lines(sk2,sk1))), introduced(definition, [new_symbols(naming, [spl35])], [avatar_definition])).
% 29.58/4.29 cnf(ssp35, plain, (~spl0 | spl20 | spl35), inference(avatar_split_clause, [status(thm)], [p655, sdef20, sdef35])).
% 29.58/4.29 cnf(p657, plain, (convergent_lines(sk3,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk3)) | ~spl1), inference(resolution, [status(thm)], [p81, p18])).
% 29.58/4.29 fof(sdef36, definition, (spl36 <=> (convergent_lines(sk3,sk1))), introduced(definition, [new_symbols(naming, [spl36])], [avatar_definition])).
% 29.58/4.29 cnf(ssp36, plain, (~spl1 | spl22 | spl36), inference(avatar_split_clause, [status(thm)], [p657, sdef22, sdef36])).
% 29.58/4.29 cnf(p82, plain, convergent_lines(sk0,X0) | ~apart_point_and_line(X1,sk1) | distinct_points(X1,intersection_point(X0,sk1)), inference(resolution, [status(thm)], [p57, c9])).
% 29.58/4.29 cnf(p671, plain, (convergent_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk1)) | distinct_lines(sk2,sk1) | ~spl0), inference(resolution, [status(thm)], [p82, p129])).
% 29.58/4.29 cnf(ssp37, plain, (~spl0 | spl4 | spl37), inference(avatar_split_clause, [status(thm)], [p671, sdef4, sdef37])).
% 29.58/4.29 cnf(p673, plain, (convergent_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk1)) | distinct_lines(sk3,sk1) | ~spl1), inference(resolution, [status(thm)], [p82, p130])).
% 29.58/4.29 cnf(ssp38, plain, (~spl1 | spl6 | spl37), inference(avatar_split_clause, [status(thm)], [p673, sdef6, sdef37])).
% 29.58/4.29 cnf(p76, plain, convergent_lines(X0,sk1) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p57, c13])).
% 29.58/4.29 cnf(p83, plain, distinct_lines(sk0,X0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(X0,sk1)), inference(resolution, [status(thm)], [p76, c8])).
% 29.58/4.29 cnf(p684, plain, (distinct_lines(sk0,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk1)) | ~spl0), inference(resolution, [status(thm)], [p83, p17])).
% 29.58/4.29 fof(sdef38, definition, (spl38 <=> (distinct_lines(sk0,sk2))), introduced(definition, [new_symbols(naming, [spl38])], [avatar_definition])).
% 29.58/4.29 cnf(ssp39, plain, (~spl0 | spl33 | spl38), inference(avatar_split_clause, [status(thm)], [p684, sdef33, sdef38])).
% 29.58/4.29 cnf(p686, plain, (distinct_lines(sk0,sk3) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,sk1)) | ~spl1), inference(resolution, [status(thm)], [p83, p18])).
% 29.58/4.29 fof(sdef39, definition, (spl39 <=> (distinct_lines(sk0,sk3))), introduced(definition, [new_symbols(naming, [spl39])], [avatar_definition])).
% 29.58/4.29 cnf(ssp40, plain, (~spl1 | spl34 | spl39), inference(avatar_split_clause, [status(thm)], [p686, sdef34, sdef39])).
% 29.58/4.29 cnf(p84, plain, distinct_lines(sk0,X0) | ~apart_point_and_line(X1,sk1) | distinct_points(X1,intersection_point(X0,sk1)), inference(resolution, [status(thm)], [p76, c9])).
% 29.58/4.29 cnf(p694, plain, (distinct_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk1)) | distinct_lines(sk2,sk1) | ~spl0), inference(resolution, [status(thm)], [p84, p129])).
% 29.58/4.29 cnf(ssp41, plain, (~spl0 | spl4 | spl40), inference(avatar_split_clause, [status(thm)], [p694, sdef4, sdef40])).
% 29.58/4.29 cnf(p696, plain, (distinct_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk1)) | distinct_lines(sk3,sk1) | ~spl1), inference(resolution, [status(thm)], [p84, p130])).
% 29.58/4.29 cnf(ssp42, plain, (~spl1 | spl6 | spl40), inference(avatar_split_clause, [status(thm)], [p696, sdef6, sdef40])).
% 29.58/4.29 cnf(p77, plain, convergent_lines(sk0,X0) | distinct_lines(X0,sk1), inference(resolution, [status(thm)], [p57, c13])).
% 29.58/4.29 cnf(p86, plain, distinct_lines(X0,sk1) | ~apart_point_and_line(X1,sk0) | distinct_points(X1,intersection_point(sk0,X0)), inference(resolution, [status(thm)], [p77, c8])).
% 29.58/4.29 cnf(p712, plain, (distinct_lines(X0,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)) | distinct_lines(sk2,sk0) | ~spl0), inference(resolution, [status(thm)], [p86, p129])).
% 29.58/4.29 cnf(ssp43, plain, (~spl0 | spl2 | spl41), inference(avatar_split_clause, [status(thm)], [p712, sdef2, sdef41])).
% 29.58/4.29 cnf(p714, plain, (distinct_lines(X0,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)) | distinct_lines(sk3,sk0) | ~spl1), inference(resolution, [status(thm)], [p86, p130])).
% 29.58/4.29 cnf(ssp44, plain, (~spl1 | spl5 | spl41), inference(avatar_split_clause, [status(thm)], [p714, sdef5, sdef41])).
% 29.58/4.29 cnf(p87, plain, distinct_lines(X0,sk1) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(sk0,X0)), inference(resolution, [status(thm)], [p77, c9])).
% 29.58/4.29 cnf(p726, plain, (distinct_lines(sk2,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | ~spl0), inference(resolution, [status(thm)], [p87, p17])).
% 29.58/4.29 cnf(ssp45, plain, (~spl0 | spl4 | spl20), inference(avatar_split_clause, [status(thm)], [p726, sdef4, sdef20])).
% 29.58/4.29 cnf(p727, plain, (distinct_lines(sk3,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk3)) | ~spl1), inference(resolution, [status(thm)], [p87, p18])).
% 29.58/4.29 cnf(ssp46, plain, (~spl1 | spl6 | spl22), inference(avatar_split_clause, [status(thm)], [p727, sdef6, sdef22])).
% 29.58/4.29 fof(f8, axiom, ! [X,Y,U,V] : ( ( distinct_points(X,Y) & distinct_lines(U,V) ) => ( apart_point_and_line(X,U) | apart_point_and_line(X,V) | apart_point_and_line(Y,U) | apart_point_and_line(Y,V) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cu1)).
% 29.58/4.29 fof(f8_nnf, plain, ! [X,Y,U,V] : (((~(distinct_points(X,Y)) | ~(distinct_lines(U,V))) | (((apart_point_and_line(X,U) | apart_point_and_line(X,V)) | apart_point_and_line(Y,U)) | apart_point_and_line(Y,V)))), inference(nnf_transformation, [status(thm)], [f8])).
% 29.58/4.29 fof(f8_sk, plain, ! [X,Y,U,V] : (((~(distinct_points(X,Y)) | ~(distinct_lines(U,V))) | (((apart_point_and_line(X,U) | apart_point_and_line(X,V)) | apart_point_and_line(Y,U)) | apart_point_and_line(Y,V)))), inference(skolemisation, [status(esa)], [f8_nnf])).
% 29.58/4.29 cnf(c10, plain, ~distinct_points(X0,X1) | ~distinct_lines(X2,X3) | apart_point_and_line(X0,X2) | apart_point_and_line(X0,X3) | apart_point_and_line(X1,X2) | apart_point_and_line(X1,X3), inference(cnf_transformation, [status(esa)], [f8_sk])).
% 29.58/4.29 cnf(p88, plain, (~distinct_lines(X0,X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | ~spl0), inference(resolution, [status(thm)], [c10, p53])).
% 29.58/4.29 cnf(p21, plain, distinct_lines(sk0,sk1), inference(resolution, [status(thm)], [c13, c14])).
% 29.58/4.29 cnf(p742, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | ~spl0), inference(resolution, [status(thm)], [p88, p21])).
% 29.58/4.29 cnf(ssp47, plain, (~spl0 | spl42 | spl43 | spl44 | spl45), inference(avatar_split_clause, [status(thm)], [p742, sdef42, sdef43, sdef44, sdef45])).
% 29.58/4.29 fof(f4, axiom, ! [X,Y,Z] : ( distinct_lines(X,Y) => ( distinct_lines(X,Z) | distinct_lines(Y,Z) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart5)).
% 29.58/4.29 fof(f4_nnf, plain, ! [X,Y,Z] : ((~(distinct_lines(X,Y)) | (distinct_lines(X,Z) | distinct_lines(Y,Z)))), inference(nnf_transformation, [status(thm)], [f4])).
% 29.58/4.29 fof(f4_sk, plain, ! [X,Y,Z] : ((~(distinct_lines(X,Y)) | (distinct_lines(X,Z) | distinct_lines(Y,Z)))), inference(skolemisation, [status(esa)], [f4_nnf])).
% 29.58/4.29 cnf(c4, plain, ~distinct_lines(X0,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(cnf_transformation, [status(esa)], [f4_sk])).
% 29.58/4.29 cnf(p23, plain, distinct_lines(sk0,X0) | distinct_lines(sk1,X0), inference(resolution, [status(thm)], [c4, p21])).
% 29.58/4.29 cnf(p747, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk0,X0) | ~spl0), inference(resolution, [status(thm)], [p88, p23])).
% 29.58/4.29 fof(sdef46, definition, (spl46 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl46])], [avatar_definition])).
% 29.58/4.29 cnf(ssp48, plain, (~spl0 | spl43 | spl45 | spl46), inference(avatar_split_clause, [status(thm)], [p747, sdef43, sdef45, sdef46])).
% 29.58/4.29 cnf(p27, plain, distinct_lines(sk0,X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p23, c4])).
% 29.58/4.29 cnf(p749, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p88, p27])).
% 29.58/4.29 fof(sdef47, definition, (spl47 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl47])], [avatar_definition])).
% 29.58/4.29 cnf(ssp49, plain, (~spl0 | spl42 | spl44 | spl47), inference(avatar_split_clause, [status(thm)], [p749, sdef42, sdef44, sdef47])).
% 29.58/4.29 cnf(p751, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p88, p27])).
% 29.58/4.29 fof(sdef48, definition, (spl48 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl48])], [avatar_definition])).
% 29.58/4.29 cnf(ssp50, plain, (~spl0 | spl43 | spl45 | spl48), inference(avatar_split_clause, [status(thm)], [p751, sdef43, sdef45, sdef48])).
% 29.58/4.29 cnf(p753, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(sk0,X0) | distinct_lines(sk1,X1) | ~spl0), inference(resolution, [status(thm)], [p88, p27])).
% 29.58/4.29 fof(sdef49, definition, (spl49 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl49])], [avatar_definition])).
% 29.58/4.29 cnf(ssp51, plain, (~spl0 | spl46 | spl49), inference(avatar_split_clause, [status(thm)], [p753, sdef46, sdef49])).
% 29.58/4.29 cnf(p37, plain, distinct_lines(sk0,X0) | distinct_lines(X0,sk1), inference(resolution, [status(thm)], [p27, c1])).
% 29.58/4.29 cnf(p755, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,sk1) | ~spl0), inference(resolution, [status(thm)], [p88, p37])).
% 29.58/4.29 fof(sdef50, definition, (spl50 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl50])], [avatar_definition])).
% 29.58/4.29 cnf(ssp52, plain, (~spl0 | spl42 | spl44 | spl50), inference(avatar_split_clause, [status(thm)], [p755, sdef42, sdef44, sdef50])).
% 29.58/4.29 cnf(p34, plain, distinct_lines(sk1,X0) | convergent_lines(sk0,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p29, c5])).
% 29.58/4.29 cnf(p141, plain, distinct_lines(sk1,X0) | convergent_lines(X0,sk0), inference(resolution, [status(thm)], [p34, c2])).
% 29.58/4.29 cnf(p163, plain, distinct_lines(sk1,X0) | distinct_lines(X0,sk0), inference(resolution, [status(thm)], [p141, c13])).
% 29.58/4.29 cnf(p757, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,sk0) | ~spl0), inference(resolution, [status(thm)], [p88, p163])).
% 29.58/4.29 fof(sdef51, definition, (spl51 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,sk0))), introduced(definition, [new_symbols(naming, [spl51])], [avatar_definition])).
% 29.58/4.29 cnf(ssp53, plain, (~spl0 | spl43 | spl45 | spl51), inference(avatar_split_clause, [status(thm)], [p757, sdef43, sdef45, sdef51])).
% 29.58/4.29 cnf(p759, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | distinct_lines(sk1,X0) | ~spl0), inference(resolution, [status(thm)], [p88, p163])).
% 29.58/4.29 cnf(ssp54, plain, (~spl0 | spl42 | spl44 | spl49), inference(avatar_split_clause, [status(thm)], [p759, sdef42, sdef44, sdef49])).
% 29.58/4.29 cnf(p26, plain, convergent_lines(sk2,X0) | convergent_lines(sk3,X0), inference(resolution, [status(thm)], [c5, c15])).
% 29.58/4.29 cnf(p31, plain, convergent_lines(sk2,X0) | distinct_lines(sk3,X0), inference(resolution, [status(thm)], [p26, c13])).
% 29.58/4.29 cnf(p36, plain, distinct_lines(sk3,X0) | convergent_lines(sk2,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p31, c5])).
% 29.58/4.29 cnf(p154, plain, distinct_lines(sk3,X0) | convergent_lines(X0,sk2), inference(resolution, [status(thm)], [p36, c2])).
% 29.58/4.29 cnf(p166, plain, distinct_lines(sk3,X0) | distinct_lines(X0,sk2), inference(resolution, [status(thm)], [p154, c13])).
% 29.58/4.29 cnf(p760, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,sk2) | ~spl0), inference(resolution, [status(thm)], [p88, p166])).
% 29.58/4.29 fof(sdef52, definition, (spl52 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl52])], [avatar_definition])).
% 29.58/4.29 fof(sdef53, definition, (spl53 <=> (apart_point_and_line(intersection_point(sk2,sk3),sk3))), introduced(definition, [new_symbols(naming, [spl53])], [avatar_definition])).
% 29.58/4.29 cnf(ssp55, plain, (~spl0 | spl1 | spl52 | spl53), inference(avatar_split_clause, [status(thm)], [p760, sdef1, sdef52, sdef53])).
% 29.58/4.29 cnf(p38, plain, distinct_lines(sk1,X0) | distinct_lines(X1,X0) | distinct_lines(sk0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p27, c4])).
% 29.58/4.29 cnf(p763, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,X0) | distinct_lines(sk0,X2) | distinct_lines(X1,X2) | ~spl0), inference(resolution, [status(thm)], [p88, p38])).
% 29.58/4.29 fof(sdef54, definition, (spl54 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,X0) | distinct_lines(sk0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl54])], [avatar_definition])).
% 29.58/4.29 cnf(ssp56, plain, (~spl0 | spl43 | spl45 | spl54), inference(avatar_split_clause, [status(thm)], [p763, sdef43, sdef45, sdef54])).
% 29.58/4.29 cnf(p765, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(sk1,X1) | distinct_lines(sk0,X2) | distinct_lines(X0,X2) | ~spl0), inference(resolution, [status(thm)], [p88, p38])).
% 29.58/4.29 fof(sdef55, definition, (spl55 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk0,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl55])], [avatar_definition])).
% 29.58/4.29 cnf(ssp57, plain, (~spl0 | spl49 | spl55), inference(avatar_split_clause, [status(thm)], [p765, sdef49, sdef55])).
% 29.58/4.29 cnf(p767, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk1,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0) | ~spl0), inference(resolution, [status(thm)], [p88, p38])).
% 29.58/4.29 fof(sdef56, definition, (spl56 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk1,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl56])], [avatar_definition])).
% 29.58/4.29 cnf(ssp58, plain, (~spl0 | spl42 | spl44 | spl56), inference(avatar_split_clause, [status(thm)], [p767, sdef42, sdef44, sdef56])).
% 29.58/4.29 cnf(p769, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(sk1,X2) | distinct_lines(X0,X2) | distinct_lines(sk0,X1) | ~spl0), inference(resolution, [status(thm)], [p88, p38])).
% 29.58/4.29 cnf(ssp59, plain, (~spl0 | spl46 | spl47), inference(avatar_split_clause, [status(thm)], [p769, sdef46, sdef47])).
% 29.58/4.29 cnf(p178, plain, (distinct_lines(sk3,sk0) | ~spl5), inference(avatar_component_clause, [status(thm)], [sdef5])).
% 29.58/4.29 cnf(p770, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | ~spl0 | ~spl5), inference(resolution, [status(thm)], [p88, p178])).
% 29.58/4.29 cnf(ssp60, plain, (~spl0 | ~spl5 | spl1 | spl42 | spl44 | spl53), inference(avatar_split_clause, [status(thm)], [p770, sdef1, sdef42, sdef44, sdef53])).
% 29.58/4.29 cnf(p180, plain, (distinct_lines(sk3,sk1) | ~spl6), inference(avatar_component_clause, [status(thm)], [sdef6])).
% 29.58/4.29 cnf(p771, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | ~spl0 | ~spl6), inference(resolution, [status(thm)], [p88, p180])).
% 29.58/4.29 cnf(ssp61, plain, (~spl0 | ~spl6 | spl1 | spl43 | spl45 | spl53), inference(avatar_split_clause, [status(thm)], [p771, sdef1, sdef43, sdef45, sdef53])).
% 29.58/4.29 cnf(p183, plain, (distinct_lines(sk3,X0) | distinct_lines(sk0,X0) | ~spl5), inference(resolution, [status(thm)], [p178, c4])).
% 29.58/4.29 cnf(p772, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk0,X0) | ~spl0 | ~spl5), inference(resolution, [status(thm)], [p88, p183])).
% 29.58/4.29 cnf(ssp62, plain, (~spl0 | ~spl5 | spl1 | spl46 | spl53), inference(avatar_split_clause, [status(thm)], [p772, sdef1, sdef46, sdef53])).
% 29.58/4.29 cnf(p39, plain, distinct_lines(sk0,X0) | distinct_lines(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p27, c4])).
% 29.58/4.29 cnf(p773, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X1,X2) | ~spl0), inference(resolution, [status(thm)], [p88, p39])).
% 29.58/4.29 fof(sdef57, definition, (spl57 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl57])], [avatar_definition])).
% 29.58/4.29 cnf(ssp63, plain, (~spl0 | spl42 | spl44 | spl57), inference(avatar_split_clause, [status(thm)], [p773, sdef42, sdef44, sdef57])).
% 29.58/4.29 cnf(p775, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0) | ~spl0), inference(resolution, [status(thm)], [p88, p39])).
% 29.58/4.29 fof(sdef58, definition, (spl58 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl58])], [avatar_definition])).
% 29.58/4.29 cnf(ssp64, plain, (~spl0 | spl43 | spl45 | spl58), inference(avatar_split_clause, [status(thm)], [p775, sdef43, sdef45, sdef58])).
% 29.58/4.29 cnf(p777, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X0) | distinct_lines(sk1,X1) | ~spl0), inference(resolution, [status(thm)], [p88, p39])).
% 29.58/4.29 cnf(ssp65, plain, (~spl0 | spl48 | spl49), inference(avatar_split_clause, [status(thm)], [p777, sdef48, sdef49])).
% 29.58/4.29 cnf(p184, plain, (distinct_lines(sk3,X0) | distinct_lines(sk1,X0) | ~spl6), inference(resolution, [status(thm)], [p180, c4])).
% 29.58/4.29 cnf(p778, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk1,X0) | ~spl0 | ~spl6), inference(resolution, [status(thm)], [p88, p184])).
% 29.58/4.29 cnf(ssp66, plain, (~spl0 | ~spl6 | spl1 | spl49 | spl53), inference(avatar_split_clause, [status(thm)], [p778, sdef1, sdef49, sdef53])).
% 29.58/4.29 cnf(p41, plain, distinct_lines(X0,sk1) | distinct_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p37, c4])).
% 29.58/4.29 cnf(p779, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | distinct_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p88, p41])).
% 29.58/4.29 cnf(ssp67, plain, (~spl0 | spl43 | spl45 | spl55), inference(avatar_split_clause, [status(thm)], [p779, sdef43, sdef45, sdef55])).
% 29.58/4.29 cnf(p780, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,sk1) | distinct_lines(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p88, p41])).
% 29.58/4.29 fof(sdef59, definition, (spl59 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,sk1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl59])], [avatar_definition])).
% 29.58/4.29 cnf(ssp68, plain, (~spl0 | spl42 | spl44 | spl59), inference(avatar_split_clause, [status(thm)], [p780, sdef42, sdef44, sdef59])).
% 29.58/4.29 cnf(p782, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(X0,sk1) | distinct_lines(sk0,X1) | ~spl0), inference(resolution, [status(thm)], [p88, p41])).
% 29.58/4.29 cnf(ssp69, plain, (~spl0 | spl46 | spl50), inference(avatar_split_clause, [status(thm)], [p782, sdef46, sdef50])).
% 29.58/4.29 cnf(p40, plain, distinct_lines(sk0,X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p27, c4])).
% 29.58/4.29 cnf(p783, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2) | ~spl0), inference(resolution, [status(thm)], [p88, p40])).
% 29.58/4.29 fof(sdef60, definition, (spl60 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl60])], [avatar_definition])).
% 29.58/4.29 cnf(ssp70, plain, (~spl0 | spl42 | spl44 | spl60), inference(avatar_split_clause, [status(thm)], [p783, sdef42, sdef44, sdef60])).
% 29.58/4.29 cnf(p785, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X2) | distinct_lines(X0,X2) | ~spl0), inference(resolution, [status(thm)], [p88, p40])).
% 29.58/4.29 fof(sdef61, definition, (spl61 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl61])], [avatar_definition])).
% 29.58/4.29 cnf(ssp71, plain, (~spl0 | spl43 | spl45 | spl61), inference(avatar_split_clause, [status(thm)], [p785, sdef43, sdef45, sdef61])).
% 29.58/4.29 cnf(p787, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(sk0,X0) | distinct_lines(sk1,X2) | distinct_lines(X2,X1) | ~spl0), inference(resolution, [status(thm)], [p88, p40])).
% 29.58/4.29 fof(sdef62, definition, (spl62 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk1,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl62])], [avatar_definition])).
% 29.58/4.29 cnf(ssp72, plain, (~spl0 | spl46 | spl62), inference(avatar_split_clause, [status(thm)], [p787, sdef46, sdef62])).
% 29.58/4.29 cnf(p22, plain, distinct_lines(sk2,sk3), inference(resolution, [status(thm)], [c13, c15])).
% 29.58/4.29 cnf(p24, plain, distinct_lines(sk2,X0) | distinct_lines(sk3,X0), inference(resolution, [status(thm)], [c4, p22])).
% 29.58/4.29 cnf(p28, plain, distinct_lines(sk2,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p24, c4])).
% 29.58/4.29 cnf(p42, plain, distinct_lines(sk2,X0) | distinct_lines(X0,sk3), inference(resolution, [status(thm)], [p28, c1])).
% 29.58/4.29 cnf(p46, plain, distinct_lines(X0,sk3) | distinct_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p42, c4])).
% 29.58/4.29 cnf(p789, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | distinct_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p88, p46])).
% 29.58/4.29 fof(sdef63, definition, (spl63 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl63])], [avatar_definition])).
% 29.58/4.29 cnf(ssp73, plain, (~spl0 | spl1 | spl53 | spl63), inference(avatar_split_clause, [status(thm)], [p789, sdef1, sdef53, sdef63])).
% 29.58/4.29 cnf(p43, plain, distinct_lines(sk3,X0) | distinct_lines(X1,X0) | distinct_lines(sk2,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p28, c4])).
% 29.58/4.29 cnf(p791, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,X0) | distinct_lines(sk2,X2) | distinct_lines(X1,X2) | ~spl0), inference(resolution, [status(thm)], [p88, p43])).
% 29.58/4.29 fof(sdef64, definition, (spl64 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,X0) | distinct_lines(sk2,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl64])], [avatar_definition])).
% 29.58/4.29 cnf(ssp74, plain, (~spl0 | spl1 | spl53 | spl64), inference(avatar_split_clause, [status(thm)], [p791, sdef1, sdef53, sdef64])).
% 29.58/4.29 cnf(p793, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(sk3,X1) | distinct_lines(sk2,X2) | distinct_lines(X0,X2) | ~spl0), inference(resolution, [status(thm)], [p88, p43])).
% 29.58/4.29 fof(sdef65, definition, (spl65 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk3,X0))), introduced(definition, [new_symbols(naming, [spl65])], [avatar_definition])).
% 29.58/4.29 cnf(ssp75, plain, (~spl0 | spl63 | spl65), inference(avatar_split_clause, [status(thm)], [p793, sdef63, sdef65])).
% 29.58/4.29 cnf(p60, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p30, c13])).
% 29.58/4.29 cnf(p795, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | ~spl0), inference(resolution, [status(thm)], [p88, p60])).
% 29.58/4.29 fof(sdef66, definition, (spl66 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl66])], [avatar_definition])).
% 29.58/4.29 fof(sdef67, definition, (spl67 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl67])], [avatar_definition])).
% 29.58/4.29 cnf(ssp76, plain, (~spl0 | spl66 | spl67), inference(avatar_split_clause, [status(thm)], [p795, sdef66, sdef67])).
% 29.58/4.29 cnf(p44, plain, distinct_lines(sk2,X0) | distinct_lines(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p28, c4])).
% 29.58/4.29 cnf(p798, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0) | ~spl0), inference(resolution, [status(thm)], [p88, p44])).
% 29.58/4.29 fof(sdef68, definition, (spl68 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl68])], [avatar_definition])).
% 29.58/4.29 cnf(ssp77, plain, (~spl0 | spl1 | spl53 | spl68), inference(avatar_split_clause, [status(thm)], [p798, sdef1, sdef53, sdef68])).
% 29.58/4.29 cnf(p45, plain, distinct_lines(sk2,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p28, c4])).
% 29.58/4.29 cnf(p800, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X2) | distinct_lines(X0,X2) | ~spl0), inference(resolution, [status(thm)], [p88, p45])).
% 29.58/4.29 fof(sdef69, definition, (spl69 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl69])], [avatar_definition])).
% 29.58/4.29 cnf(ssp78, plain, (~spl0 | spl1 | spl53 | spl69), inference(avatar_split_clause, [status(thm)], [p800, sdef1, sdef53, sdef69])).
% 29.58/4.29 cnf(p32, plain, convergent_lines(sk2,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p26, c5])).
% 29.58/4.29 cnf(p97, plain, convergent_lines(sk2,X0) | convergent_lines(sk3,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p32, c13])).
% 29.58/4.29 cnf(p802, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(sk2,X0) | convergent_lines(sk3,X1) | ~spl0), inference(resolution, [status(thm)], [p88, p97])).
% 29.58/4.29 fof(sdef70, definition, (spl70 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl70])], [avatar_definition])).
% 29.58/4.29 fof(sdef71, definition, (spl71 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk3,X0))), introduced(definition, [new_symbols(naming, [spl71])], [avatar_definition])).
% 29.58/4.29 cnf(ssp79, plain, (~spl0 | spl70 | spl71), inference(avatar_split_clause, [status(thm)], [p802, sdef70, sdef71])).
% 29.58/4.29 cnf(p143, plain, distinct_lines(sk1,X0) | convergent_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p34, c13])).
% 29.58/4.29 cnf(p805, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p88, p143])).
% 29.58/4.29 fof(sdef72, definition, (spl72 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk0,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl72])], [avatar_definition])).
% 29.58/4.29 cnf(ssp80, plain, (~spl0 | spl43 | spl45 | spl72), inference(avatar_split_clause, [status(thm)], [p805, sdef43, sdef45, sdef72])).
% 29.58/4.29 cnf(p807, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(sk1,X0) | convergent_lines(sk0,X1) | ~spl0), inference(resolution, [status(thm)], [p88, p143])).
% 29.58/4.29 cnf(ssp81, plain, (~spl0 | spl49 | spl66), inference(avatar_split_clause, [status(thm)], [p807, sdef49, sdef66])).
% 29.58/4.29 cnf(p357, plain, (distinct_lines(sk3,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl11), inference(avatar_component_clause, [status(thm)], [sdef11])).
% 29.58/4.29 cnf(p808, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl0 | ~spl11), inference(resolution, [status(thm)], [p88, p357])).
% 29.58/4.29 fof(sdef73, definition, (spl73 <=> (apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))))), introduced(definition, [new_symbols(naming, [spl73])], [avatar_definition])).
% 29.58/4.29 fof(sdef74, definition, (spl74 <=> (apart_point_and_line(intersection_point(sk2,sk3),line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))))), introduced(definition, [new_symbols(naming, [spl74])], [avatar_definition])).
% 29.58/4.29 cnf(ssp82, plain, (~spl0 | ~spl11 | spl1 | spl53 | spl73 | spl74), inference(avatar_split_clause, [status(thm)], [p808, sdef1, sdef53, sdef73, sdef74])).
% 29.58/4.29 cnf(p132, plain, (distinct_lines(sk2,sk0) | ~spl2), inference(avatar_component_clause, [status(thm)], [sdef2])).
% 29.58/4.29 cnf(p138, plain, (distinct_lines(sk2,X0) | distinct_lines(sk0,X0) | ~spl2), inference(resolution, [status(thm)], [p132, c4])).
% 29.58/4.29 cnf(p151, plain, (distinct_lines(sk0,X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl2), inference(resolution, [status(thm)], [p138, c4])).
% 29.58/4.29 cnf(p811, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl0 | ~spl2), inference(resolution, [status(thm)], [p88, p151])).
% 29.58/4.29 cnf(ssp83, plain, (~spl0 | ~spl2 | spl42 | spl44 | spl63), inference(avatar_split_clause, [status(thm)], [p811, sdef42, sdef44, sdef63])).
% 29.58/4.29 cnf(p360, plain, (distinct_lines(sk0,X0) | distinct_lines(X0,sk2) | ~spl2), inference(resolution, [status(thm)], [p151, c1])).
% 29.58/4.29 cnf(p812, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,sk2) | ~spl0 | ~spl2), inference(resolution, [status(thm)], [p88, p360])).
% 29.58/4.29 cnf(ssp84, plain, (~spl0 | ~spl2 | spl42 | spl44 | spl52), inference(avatar_split_clause, [status(thm)], [p812, sdef42, sdef44, sdef52])).
% 29.58/4.29 cnf(p135, plain, (distinct_lines(sk2,sk1) | ~spl4), inference(avatar_component_clause, [status(thm)], [sdef4])).
% 29.58/4.29 cnf(p139, plain, (distinct_lines(sk2,X0) | distinct_lines(sk1,X0) | ~spl4), inference(resolution, [status(thm)], [p135, c4])).
% 29.58/4.29 cnf(p153, plain, (distinct_lines(sk1,X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl4), inference(resolution, [status(thm)], [p139, c4])).
% 29.58/4.29 cnf(p813, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl0 | ~spl4), inference(resolution, [status(thm)], [p88, p153])).
% 29.58/4.29 cnf(ssp85, plain, (~spl0 | ~spl4 | spl43 | spl45 | spl63), inference(avatar_split_clause, [status(thm)], [p813, sdef43, sdef45, sdef63])).
% 29.58/4.29 cnf(p365, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk2) | ~spl4), inference(resolution, [status(thm)], [p153, c1])).
% 29.58/4.29 cnf(p814, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,sk2) | ~spl0 | ~spl4), inference(resolution, [status(thm)], [p88, p365])).
% 29.58/4.29 cnf(ssp86, plain, (~spl0 | ~spl4 | spl43 | spl45 | spl52), inference(avatar_split_clause, [status(thm)], [p814, sdef43, sdef45, sdef52])).
% 29.58/4.29 cnf(p156, plain, distinct_lines(sk3,X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p36, c13])).
% 29.58/4.29 cnf(p815, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p88, p156])).
% 29.58/4.29 fof(sdef75, definition, (spl75 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl75])], [avatar_definition])).
% 29.58/4.29 cnf(ssp87, plain, (~spl0 | spl1 | spl53 | spl75), inference(avatar_split_clause, [status(thm)], [p815, sdef1, sdef53, sdef75])).
% 29.58/4.29 cnf(p817, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(sk3,X0) | convergent_lines(sk2,X1) | ~spl0), inference(resolution, [status(thm)], [p88, p156])).
% 29.58/4.29 cnf(ssp88, plain, (~spl0 | spl65 | spl70), inference(avatar_split_clause, [status(thm)], [p817, sdef65, sdef70])).
% 29.58/4.29 cnf(p169, plain, distinct_lines(X0,sk0) | distinct_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p163, c4])).
% 29.58/4.29 cnf(p818, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,sk0) | distinct_lines(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p88, p169])).
% 29.58/4.29 fof(sdef76, definition, (spl76 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,sk0) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl76])], [avatar_definition])).
% 29.58/4.29 cnf(ssp89, plain, (~spl0 | spl43 | spl45 | spl76), inference(avatar_split_clause, [status(thm)], [p818, sdef43, sdef45, sdef76])).
% 29.58/4.29 cnf(p820, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(X0,sk0) | distinct_lines(sk1,X1) | ~spl0), inference(resolution, [status(thm)], [p88, p169])).
% 29.58/4.29 cnf(ssp90, plain, (~spl0 | spl49 | spl51), inference(avatar_split_clause, [status(thm)], [p820, sdef49, sdef51])).
% 29.58/4.29 cnf(p170, plain, distinct_lines(sk1,X0) | distinct_lines(X0,X1) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p163, c4])).
% 29.58/4.29 cnf(p821, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk1,X1) | distinct_lines(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p88, p170])).
% 29.58/4.29 cnf(ssp91, plain, (~spl0 | spl42 | spl44 | spl62), inference(avatar_split_clause, [status(thm)], [p821, sdef42, sdef44, sdef62])).
% 29.58/4.29 cnf(p171, plain, distinct_lines(X0,sk2) | distinct_lines(sk3,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p166, c4])).
% 29.58/4.29 cnf(p822, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p88, p171])).
% 29.58/4.29 fof(sdef77, definition, (spl77 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl77])], [avatar_definition])).
% 29.58/4.29 cnf(ssp92, plain, (~spl0 | spl1 | spl53 | spl77), inference(avatar_split_clause, [status(thm)], [p822, sdef1, sdef53, sdef77])).
% 29.58/4.29 cnf(p824, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(X0,sk2) | distinct_lines(sk3,X1) | ~spl0), inference(resolution, [status(thm)], [p88, p171])).
% 29.58/4.29 cnf(ssp93, plain, (~spl0 | spl52 | spl65), inference(avatar_split_clause, [status(thm)], [p824, sdef52, sdef65])).
% 29.58/4.29 cnf(p186, plain, (distinct_lines(sk0,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl5), inference(resolution, [status(thm)], [p183, c4])).
% 29.58/4.29 cnf(p825, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl0 | ~spl5), inference(resolution, [status(thm)], [p88, p186])).
% 29.58/4.29 fof(sdef78, definition, (spl78 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl78])], [avatar_definition])).
% 29.58/4.29 cnf(ssp94, plain, (~spl0 | ~spl5 | spl42 | spl44 | spl78), inference(avatar_split_clause, [status(thm)], [p825, sdef42, sdef44, sdef78])).
% 29.58/4.29 cnf(p827, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X0) | ~spl0 | ~spl5), inference(resolution, [status(thm)], [p88, p186])).
% 29.58/4.29 cnf(ssp95, plain, (~spl0 | ~spl5 | spl1 | spl48 | spl53), inference(avatar_split_clause, [status(thm)], [p827, sdef1, sdef48, sdef53])).
% 29.58/4.29 cnf(p828, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(sk0,X0) | distinct_lines(sk3,X1) | ~spl0 | ~spl5), inference(resolution, [status(thm)], [p88, p186])).
% 29.58/4.29 cnf(ssp96, plain, (~spl0 | ~spl5 | spl46 | spl65), inference(avatar_split_clause, [status(thm)], [p828, sdef46, sdef65])).
% 29.58/4.29 cnf(p412, plain, (distinct_lines(sk0,X0) | distinct_lines(X0,sk3) | ~spl5), inference(resolution, [status(thm)], [p186, c1])).
% 29.58/4.29 cnf(p829, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,sk3) | ~spl0 | ~spl5), inference(resolution, [status(thm)], [p88, p412])).
% 29.58/4.29 fof(sdef79, definition, (spl79 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,sk3))), introduced(definition, [new_symbols(naming, [spl79])], [avatar_definition])).
% 29.58/4.29 cnf(ssp97, plain, (~spl0 | ~spl5 | spl42 | spl44 | spl79), inference(avatar_split_clause, [status(thm)], [p829, sdef42, sdef44, sdef79])).
% 29.58/4.29 cnf(p187, plain, distinct_lines(sk0,X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk1), inference(resolution, [status(thm)], [p39, c1])).
% 29.58/4.29 cnf(p831, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk1) | ~spl0), inference(resolution, [status(thm)], [p88, p187])).
% 29.58/4.29 fof(sdef80, definition, (spl80 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk1))), introduced(definition, [new_symbols(naming, [spl80])], [avatar_definition])).
% 29.58/4.29 cnf(ssp98, plain, (~spl0 | spl42 | spl44 | spl80), inference(avatar_split_clause, [status(thm)], [p831, sdef42, sdef44, sdef80])).
% 29.58/4.29 cnf(p191, plain, (distinct_lines(sk1,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl6), inference(resolution, [status(thm)], [p184, c4])).
% 29.58/4.29 cnf(p833, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl0 | ~spl6), inference(resolution, [status(thm)], [p88, p191])).
% 29.58/4.29 cnf(ssp99, plain, (~spl0 | ~spl6 | spl43 | spl45 | spl78), inference(avatar_split_clause, [status(thm)], [p833, sdef43, sdef45, sdef78])).
% 29.58/4.29 cnf(p834, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk1,X1) | distinct_lines(X1,X0) | ~spl0 | ~spl6), inference(resolution, [status(thm)], [p88, p191])).
% 29.58/4.29 cnf(ssp100, plain, (~spl0 | ~spl6 | spl1 | spl53 | spl62), inference(avatar_split_clause, [status(thm)], [p834, sdef1, sdef53, sdef62])).
% 29.58/4.29 cnf(p835, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(sk1,X0) | distinct_lines(sk3,X1) | ~spl0 | ~spl6), inference(resolution, [status(thm)], [p88, p191])).
% 29.58/4.29 cnf(ssp101, plain, (~spl0 | ~spl6 | spl49 | spl65), inference(avatar_split_clause, [status(thm)], [p835, sdef49, sdef65])).
% 29.58/4.29 cnf(p418, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk3) | ~spl6), inference(resolution, [status(thm)], [p191, c1])).
% 29.58/4.29 cnf(p836, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,sk3) | ~spl0 | ~spl6), inference(resolution, [status(thm)], [p88, p418])).
% 29.58/4.29 cnf(ssp102, plain, (~spl0 | ~spl6 | spl43 | spl45 | spl79), inference(avatar_split_clause, [status(thm)], [p836, sdef43, sdef45, sdef79])).
% 29.58/4.29 cnf(p58, plain, convergent_lines(sk1,X0) | convergent_lines(X1,X0) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p30, c13])).
% 29.58/4.29 cnf(p209, plain, convergent_lines(sk1,X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p58, c13])).
% 29.58/4.29 cnf(p837, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk1,X1) | distinct_lines(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p88, p209])).
% 29.58/4.29 fof(sdef81, definition, (spl81 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk1,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl81])], [avatar_definition])).
% 29.58/4.29 cnf(ssp103, plain, (~spl0 | spl42 | spl44 | spl81), inference(avatar_split_clause, [status(thm)], [p837, sdef42, sdef44, sdef81])).
% 29.58/4.29 cnf(p839, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(sk1,X1) | distinct_lines(sk0,X0) | ~spl0), inference(resolution, [status(thm)], [p88, p209])).
% 29.58/4.29 cnf(ssp104, plain, (~spl0 | spl46 | spl67), inference(avatar_split_clause, [status(thm)], [p839, sdef46, sdef67])).
% 29.58/4.29 cnf(p59, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | distinct_lines(sk1,X1), inference(resolution, [status(thm)], [p30, c13])).
% 29.58/4.29 cnf(p218, plain, convergent_lines(sk0,X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p59, c13])).
% 29.58/4.29 cnf(p840, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk0,X1) | distinct_lines(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p88, p218])).
% 29.58/4.29 fof(sdef82, definition, (spl82 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk0,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl82])], [avatar_definition])).
% 29.58/4.29 cnf(ssp105, plain, (~spl0 | spl43 | spl45 | spl82), inference(avatar_split_clause, [status(thm)], [p840, sdef43, sdef45, sdef82])).
% 29.58/4.29 cnf(p236, plain, convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p78, c13])).
% 29.58/4.29 cnf(p842, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | ~spl0), inference(resolution, [status(thm)], [p88, p236])).
% 29.58/4.29 fof(sdef83, definition, (spl83 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl83])], [avatar_definition])).
% 29.58/4.29 cnf(ssp106, plain, (~spl0 | spl66 | spl83), inference(avatar_split_clause, [status(thm)], [p842, sdef66, sdef83])).
% 29.58/4.29 cnf(p494, plain, (convergent_lines(sk0,sk3) | ~spl16), inference(avatar_component_clause, [status(thm)], [sdef16])).
% 29.58/4.29 cnf(p502, plain, (distinct_lines(sk0,sk3) | ~spl16), inference(resolution, [status(thm)], [p494, c13])).
% 29.58/4.29 cnf(p844, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | ~spl0 | ~spl16), inference(resolution, [status(thm)], [p88, p502])).
% 29.58/4.29 cnf(ssp107, plain, (~spl0 | ~spl16 | spl1 | spl42 | spl44 | spl53), inference(avatar_split_clause, [status(thm)], [p844, sdef1, sdef42, sdef44, sdef53])).
% 29.58/4.29 cnf(p507, plain, (distinct_lines(sk0,X0) | distinct_lines(sk3,X0) | ~spl16), inference(resolution, [status(thm)], [p502, c4])).
% 29.58/4.29 cnf(p845, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk0,X0) | ~spl0 | ~spl16), inference(resolution, [status(thm)], [p88, p507])).
% 29.58/4.29 cnf(ssp108, plain, (~spl0 | ~spl16 | spl1 | spl46 | spl53), inference(avatar_split_clause, [status(thm)], [p845, sdef1, sdef46, sdef53])).
% 29.58/4.29 cnf(p542, plain, (distinct_lines(sk1,sk3) | ~spl23), inference(avatar_component_clause, [status(thm)], [sdef23])).
% 29.58/4.29 cnf(p846, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | ~spl0 | ~spl23), inference(resolution, [status(thm)], [p88, p542])).
% 29.58/4.29 cnf(ssp109, plain, (~spl0 | ~spl23 | spl1 | spl43 | spl45 | spl53), inference(avatar_split_clause, [status(thm)], [p846, sdef1, sdef43, sdef45, sdef53])).
% 29.58/4.29 cnf(p546, plain, (distinct_lines(sk1,X0) | distinct_lines(sk3,X0) | ~spl23), inference(resolution, [status(thm)], [p542, c4])).
% 29.58/4.29 cnf(p847, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk1,X0) | ~spl0 | ~spl23), inference(resolution, [status(thm)], [p88, p546])).
% 29.58/4.29 cnf(ssp110, plain, (~spl0 | ~spl23 | spl1 | spl49 | spl53), inference(avatar_split_clause, [status(thm)], [p847, sdef1, sdef49, sdef53])).
% 29.58/4.29 cnf(p565, plain, (convergent_lines(sk1,X0) | convergent_lines(sk3,X0) | ~spl25), inference(avatar_component_clause, [status(thm)], [sdef25])).
% 29.58/4.29 cnf(p577, plain, (convergent_lines(sk1,sk3) | ~spl25), inference(resolution, [status(thm)], [p565, c2])).
% 29.58/4.29 cnf(p588, plain, (distinct_lines(sk1,sk3) | ~spl25), inference(resolution, [status(thm)], [p577, c13])).
% 29.58/4.29 cnf(p848, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | ~spl0 | ~spl25), inference(resolution, [status(thm)], [p88, p588])).
% 29.58/4.29 cnf(ssp111, plain, (~spl0 | ~spl25 | spl1 | spl43 | spl45 | spl53), inference(avatar_split_clause, [status(thm)], [p848, sdef1, sdef43, sdef45, sdef53])).
% 29.58/4.29 cnf(p601, plain, (convergent_lines(sk1,sk3) | ~spl31), inference(avatar_component_clause, [status(thm)], [sdef31])).
% 29.58/4.29 cnf(p608, plain, (distinct_lines(sk1,sk3) | ~spl31), inference(resolution, [status(thm)], [p601, c13])).
% 29.58/4.29 cnf(p849, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | ~spl0 | ~spl31), inference(resolution, [status(thm)], [p88, p608])).
% 29.58/4.29 cnf(ssp112, plain, (~spl0 | ~spl31 | spl1 | spl43 | spl45 | spl53), inference(avatar_split_clause, [status(thm)], [p849, sdef1, sdef43, sdef45, sdef53])).
% 29.58/4.29 cnf(p585, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk3) | ~spl27), inference(avatar_component_clause, [status(thm)], [sdef27])).
% 29.58/4.29 cnf(p642, plain, (convergent_lines(sk0,sk3) | ~spl27), inference(resolution, [status(thm)], [p585, c2])).
% 29.58/4.29 cnf(p651, plain, (distinct_lines(sk0,sk3) | ~spl27), inference(resolution, [status(thm)], [p642, c13])).
% 29.58/4.29 cnf(p850, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | ~spl0 | ~spl27), inference(resolution, [status(thm)], [p88, p651])).
% 29.58/4.29 cnf(ssp113, plain, (~spl0 | ~spl27 | spl1 | spl42 | spl44 | spl53), inference(avatar_split_clause, [status(thm)], [p850, sdef1, sdef42, sdef44, sdef53])).
% 29.58/4.29 cnf(p658, plain, (convergent_lines(sk3,sk1) | ~spl36), inference(avatar_component_clause, [status(thm)], [sdef36])).
% 29.58/4.29 cnf(p666, plain, (distinct_lines(sk3,sk1) | ~spl36), inference(resolution, [status(thm)], [p658, c13])).
% 29.58/4.29 cnf(p851, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | ~spl0 | ~spl36), inference(resolution, [status(thm)], [p88, p666])).
% 29.58/4.29 cnf(ssp114, plain, (~spl0 | ~spl36 | spl1 | spl43 | spl45 | spl53), inference(avatar_split_clause, [status(thm)], [p851, sdef1, sdef43, sdef45, sdef53])).
% 29.58/4.29 cnf(p591, plain, (distinct_lines(sk1,X0) | distinct_lines(sk3,X0) | ~spl25), inference(resolution, [status(thm)], [p588, c4])).
% 29.58/4.29 cnf(p852, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk1,X0) | ~spl0 | ~spl25), inference(resolution, [status(thm)], [p88, p591])).
% 29.58/4.29 cnf(ssp115, plain, (~spl0 | ~spl25 | spl1 | spl49 | spl53), inference(avatar_split_clause, [status(thm)], [p852, sdef1, sdef49, sdef53])).
% 29.58/4.29 cnf(p687, plain, (distinct_lines(sk0,sk3) | ~spl39), inference(avatar_component_clause, [status(thm)], [sdef39])).
% 29.58/4.29 cnf(p853, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | ~spl0 | ~spl39), inference(resolution, [status(thm)], [p88, p687])).
% 29.58/4.29 cnf(ssp116, plain, (~spl0 | ~spl39 | spl1 | spl42 | spl44 | spl53), inference(avatar_split_clause, [status(thm)], [p853, sdef1, sdef42, sdef44, sdef53])).
% 29.58/4.29 cnf(p613, plain, (distinct_lines(sk1,X0) | distinct_lines(sk3,X0) | ~spl31), inference(resolution, [status(thm)], [p608, c4])).
% 29.58/4.29 cnf(p854, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk1,X0) | ~spl0 | ~spl31), inference(resolution, [status(thm)], [p88, p613])).
% 29.58/4.29 cnf(ssp117, plain, (~spl0 | ~spl31 | spl1 | spl49 | spl53), inference(avatar_split_clause, [status(thm)], [p854, sdef1, sdef49, sdef53])).
% 29.58/4.29 cnf(p661, plain, (distinct_lines(sk0,X0) | distinct_lines(sk3,X0) | ~spl27), inference(resolution, [status(thm)], [p651, c4])).
% 29.58/4.29 cnf(p855, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk0,X0) | ~spl0 | ~spl27), inference(resolution, [status(thm)], [p88, p661])).
% 29.58/4.29 cnf(ssp118, plain, (~spl0 | ~spl27 | spl1 | spl46 | spl53), inference(avatar_split_clause, [status(thm)], [p855, sdef1, sdef46, sdef53])).
% 29.58/4.29 cnf(p862, plain, (convergent_lines(sk0,sk0) | convergent_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)) | ~spl42), inference(resolution, [status(thm)], [p743, p66])).
% 29.58/4.29 cnf(ssp119, plain, (~spl42 | spl84 | spl85), inference(avatar_split_clause, [status(thm)], [p862, sdef84, sdef85])).
% 29.58/4.29 cnf(p70, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(sk3,X1)) | convergent_lines(sk2,X1), inference(resolution, [status(thm)], [c9, p26])).
% 29.58/4.29 cnf(p865, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,sk0)) | convergent_lines(sk2,sk0) | ~spl42), inference(resolution, [status(thm)], [p743, p70])).
% 29.58/4.29 fof(sdef86, definition, (spl86 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,sk0)))), introduced(definition, [new_symbols(naming, [spl86])], [avatar_definition])).
% 29.58/4.29 fof(sdef87, definition, (spl87 <=> (convergent_lines(sk2,sk0))), introduced(definition, [new_symbols(naming, [spl87])], [avatar_definition])).
% 29.58/4.29 cnf(ssp120, plain, (~spl42 | spl86 | spl87), inference(avatar_split_clause, [status(thm)], [p865, sdef86, sdef87])).
% 29.58/4.29 cnf(p72, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(sk2,X1)) | distinct_lines(sk3,X1), inference(resolution, [status(thm)], [c9, p31])).
% 29.58/4.29 cnf(p868, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk0)) | distinct_lines(sk3,sk0) | ~spl42), inference(resolution, [status(thm)], [p743, p72])).
% 29.58/4.29 fof(sdef88, definition, (spl88 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk0)))), introduced(definition, [new_symbols(naming, [spl88])], [avatar_definition])).
% 29.58/4.29 cnf(ssp121, plain, (~spl42 | spl5 | spl88), inference(avatar_split_clause, [status(thm)], [p868, sdef5, sdef88])).
% 29.58/4.29 cnf(p899, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,sk1)) | convergent_lines(sk2,sk1) | ~spl43), inference(resolution, [status(thm)], [p744, p70])).
% 29.58/4.29 cnf(ssp122, plain, (~spl43 | spl34 | spl35), inference(avatar_split_clause, [status(thm)], [p899, sdef34, sdef35])).
% 29.58/4.29 cnf(p900, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk1)) | distinct_lines(sk3,sk1) | ~spl43), inference(resolution, [status(thm)], [p744, p72])).
% 29.58/4.29 cnf(ssp123, plain, (~spl43 | spl6 | spl33), inference(avatar_split_clause, [status(thm)], [p900, sdef6, sdef33])).
% 29.58/4.29 cnf(p901, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk1)) | convergent_lines(sk0,X0) | convergent_lines(sk1,sk1) | ~spl43), inference(resolution, [status(thm)], [p744, p75])).
% 29.58/4.29 cnf(ssp124, plain, (~spl43 | spl37 | spl89), inference(avatar_split_clause, [status(thm)], [p901, sdef37, sdef89])).
% 29.58/4.29 cnf(p762, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk3) | ~spl53), inference(avatar_component_clause, [status(thm)], [sdef53])).
% 29.58/4.29 cnf(p926, plain, (convergent_lines(sk0,sk3) | convergent_lines(sk1,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,X0)) | ~spl53), inference(resolution, [status(thm)], [p762, p66])).
% 29.58/4.29 fof(sdef90, definition, (spl90 <=> (convergent_lines(sk1,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,X0)))), introduced(definition, [new_symbols(naming, [spl90])], [avatar_definition])).
% 29.58/4.29 cnf(ssp125, plain, (~spl53 | spl16 | spl90), inference(avatar_split_clause, [status(thm)], [p926, sdef16, sdef90])).
% 29.58/4.29 cnf(p928, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,sk3)) | convergent_lines(sk0,sk3) | ~spl53), inference(resolution, [status(thm)], [p762, p69])).
% 29.58/4.29 fof(sdef91, definition, (spl91 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,sk3)))), introduced(definition, [new_symbols(naming, [spl91])], [avatar_definition])).
% 29.58/4.29 cnf(ssp126, plain, (~spl53 | spl16 | spl91), inference(avatar_split_clause, [status(thm)], [p928, sdef16, sdef91])).
% 29.58/4.29 cnf(p930, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk3)) | distinct_lines(sk1,sk3) | ~spl53), inference(resolution, [status(thm)], [p762, p71])).
% 29.58/4.29 fof(sdef92, definition, (spl92 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk3)))), introduced(definition, [new_symbols(naming, [spl92])], [avatar_definition])).
% 29.58/4.29 cnf(ssp127, plain, (~spl53 | spl23 | spl92), inference(avatar_split_clause, [status(thm)], [p930, sdef23, sdef92])).
% 29.58/4.29 cnf(p932, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk3)) | convergent_lines(sk1,X0) | convergent_lines(sk3,X0) | ~spl53), inference(resolution, [status(thm)], [p762, p73])).
% 29.58/4.29 cnf(ssp128, plain, (~spl53 | spl25 | spl92), inference(avatar_split_clause, [status(thm)], [p932, sdef25, sdef92])).
% 29.58/4.29 cnf(p933, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,sk3)) | convergent_lines(sk0,X0) | convergent_lines(X0,sk3) | ~spl53), inference(resolution, [status(thm)], [p762, p74])).
% 29.58/4.29 cnf(ssp129, plain, (~spl53 | spl27 | spl91), inference(avatar_split_clause, [status(thm)], [p933, sdef27, sdef91])).
% 29.58/4.29 cnf(p934, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk3)) | convergent_lines(sk0,X0) | convergent_lines(sk1,sk3) | ~spl53), inference(resolution, [status(thm)], [p762, p75])).
% 29.58/4.29 fof(sdef93, definition, (spl93 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk3)) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl93])], [avatar_definition])).
% 29.58/4.29 cnf(ssp130, plain, (~spl53 | spl31 | spl93), inference(avatar_split_clause, [status(thm)], [p934, sdef31, sdef93])).
% 29.58/4.29 cnf(p936, plain, (convergent_lines(sk0,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,sk1)) | ~spl53), inference(resolution, [status(thm)], [p762, p80])).
% 29.58/4.29 fof(sdef94, definition, (spl94 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,sk1)))), introduced(definition, [new_symbols(naming, [spl94])], [avatar_definition])).
% 29.58/4.29 cnf(ssp131, plain, (~spl53 | spl16 | spl94), inference(avatar_split_clause, [status(thm)], [p936, sdef16, sdef94])).
% 29.58/4.29 cnf(p938, plain, (convergent_lines(sk3,sk1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk3)) | ~spl53), inference(resolution, [status(thm)], [p762, p81])).
% 29.58/4.29 cnf(ssp132, plain, (~spl53 | spl36 | spl92), inference(avatar_split_clause, [status(thm)], [p938, sdef36, sdef92])).
% 29.58/4.29 cnf(p939, plain, (distinct_lines(sk0,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,sk1)) | ~spl53), inference(resolution, [status(thm)], [p762, p83])).
% 29.58/4.29 cnf(ssp133, plain, (~spl53 | spl39 | spl94), inference(avatar_split_clause, [status(thm)], [p939, sdef39, sdef94])).
% 29.58/4.29 cnf(p940, plain, (distinct_lines(sk3,sk1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk3)) | ~spl53), inference(resolution, [status(thm)], [p762, p87])).
% 29.58/4.29 cnf(ssp134, plain, (~spl53 | spl6 | spl92), inference(avatar_split_clause, [status(thm)], [p940, sdef6, sdef92])).
% 29.58/4.29 cnf(p674, plain, (distinct_lines(sk3,X0) | distinct_lines(sk1,X0) | ~spl36), inference(resolution, [status(thm)], [p666, c4])).
% 29.58/4.29 cnf(p962, plain, (distinct_lines(sk1,X0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | ~spl0 | ~spl36), inference(resolution, [status(thm)], [p674, p88])).
% 29.58/4.29 cnf(ssp135, plain, (~spl0 | ~spl36 | spl1 | spl49 | spl53), inference(avatar_split_clause, [status(thm)], [p962, sdef1, sdef49, sdef53])).
% 29.58/4.29 cnf(p691, plain, (distinct_lines(sk0,X0) | distinct_lines(sk3,X0) | ~spl39), inference(resolution, [status(thm)], [p687, c4])).
% 29.58/4.29 cnf(p975, plain, (distinct_lines(sk0,X0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | ~spl0 | ~spl39), inference(resolution, [status(thm)], [p691, p88])).
% 29.58/4.29 cnf(ssp136, plain, (~spl0 | ~spl39 | spl1 | spl46 | spl53), inference(avatar_split_clause, [status(thm)], [p975, sdef1, sdef46, sdef53])).
% 29.58/4.29 cnf(p583, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | ~spl26), inference(avatar_component_clause, [status(thm)], [sdef26])).
% 29.58/4.29 cnf(p623, plain, (convergent_lines(X0,sk2) | distinct_lines(sk0,X0) | ~spl26), inference(resolution, [status(thm)], [p583, c13])).
% 29.58/4.29 cnf(p697, plain, (distinct_lines(sk0,X0) | distinct_lines(X0,sk2) | ~spl26), inference(resolution, [status(thm)], [p623, c13])).
% 29.58/4.29 cnf(p977, plain, (distinct_lines(X0,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | ~spl0 | ~spl26), inference(resolution, [status(thm)], [p697, p88])).
% 29.58/4.29 cnf(ssp137, plain, (~spl0 | ~spl26 | spl42 | spl44 | spl52), inference(avatar_split_clause, [status(thm)], [p977, sdef42, sdef44, sdef52])).
% 29.58/4.29 cnf(p103, plain, convergent_lines(sk2,X0) | convergent_lines(sk3,X1) | ~apart_point_and_line(X2,X0) | distinct_points(X2,intersection_point(X0,X1)), inference(resolution, [status(thm)], [p32, c8])).
% 29.58/4.29 cnf(p982, plain, (convergent_lines(sk2,sk2) | convergent_lines(sk3,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)) | ~spl0), inference(resolution, [status(thm)], [p103, p17])).
% 29.58/4.29 fof(sdef96, definition, (spl96 <=> (convergent_lines(sk3,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)))), introduced(definition, [new_symbols(naming, [spl96])], [avatar_definition])).
% 29.58/4.29 cnf(ssp138, plain, (~spl0 | spl95 | spl96), inference(avatar_split_clause, [status(thm)], [p982, sdef95, sdef96])).
% 29.58/4.29 cnf(p986, plain, (convergent_lines(sk2,sk0) | convergent_lines(sk3,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)) | ~spl42), inference(resolution, [status(thm)], [p103, p743])).
% 29.58/4.29 fof(sdef97, definition, (spl97 <=> (convergent_lines(sk3,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)))), introduced(definition, [new_symbols(naming, [spl97])], [avatar_definition])).
% 29.58/4.29 cnf(ssp139, plain, (~spl42 | spl87 | spl97), inference(avatar_split_clause, [status(thm)], [p986, sdef87, sdef97])).
% 29.58/4.29 cnf(p988, plain, (convergent_lines(sk2,sk1) | convergent_lines(sk3,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,X0)) | ~spl43), inference(resolution, [status(thm)], [p103, p744])).
% 29.58/4.29 fof(sdef98, definition, (spl98 <=> (convergent_lines(sk3,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,X0)))), introduced(definition, [new_symbols(naming, [spl98])], [avatar_definition])).
% 29.58/4.29 cnf(ssp140, plain, (~spl43 | spl35 | spl98), inference(avatar_split_clause, [status(thm)], [p988, sdef35, sdef98])).
% 29.58/4.29 cnf(p643, plain, (convergent_lines(X0,sk3) | distinct_lines(sk0,X0) | ~spl27), inference(resolution, [status(thm)], [p585, c13])).
% 29.58/4.29 cnf(p719, plain, (distinct_lines(sk0,X0) | distinct_lines(X0,sk3) | ~spl27), inference(resolution, [status(thm)], [p643, c13])).
% 29.58/4.29 cnf(p992, plain, (distinct_lines(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | ~spl0 | ~spl27), inference(resolution, [status(thm)], [p719, p88])).
% 29.58/4.29 cnf(ssp141, plain, (~spl0 | ~spl27 | spl42 | spl44 | spl79), inference(avatar_split_clause, [status(thm)], [p992, sdef42, sdef44, sdef79])).
% 29.58/4.29 cnf(p104, plain, convergent_lines(sk3,X0) | convergent_lines(X1,X0) | ~apart_point_and_line(X2,X1) | distinct_points(X2,intersection_point(sk2,X1)), inference(resolution, [status(thm)], [p32, c9])).
% 29.58/4.29 cnf(p997, plain, (convergent_lines(sk3,X0) | convergent_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk0)) | ~spl42), inference(resolution, [status(thm)], [p104, p743])).
% 29.58/4.29 fof(sdef99, definition, (spl99 <=> (convergent_lines(sk3,X0) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl99])], [avatar_definition])).
% 29.58/4.29 cnf(ssp142, plain, (~spl42 | spl88 | spl99), inference(avatar_split_clause, [status(thm)], [p997, sdef88, sdef99])).
% 29.58/4.29 cnf(p999, plain, (convergent_lines(sk3,X0) | convergent_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk1)) | ~spl43), inference(resolution, [status(thm)], [p104, p744])).
% 29.58/4.29 cnf(ssp143, plain, (~spl43 | spl25 | spl33), inference(avatar_split_clause, [status(thm)], [p999, sdef25, sdef33])).
% 29.58/4.29 cnf(p105, plain, convergent_lines(sk2,X0) | convergent_lines(X0,X1) | ~apart_point_and_line(X2,X1) | distinct_points(X2,intersection_point(sk3,X1)), inference(resolution, [status(thm)], [p32, c9])).
% 29.58/4.29 cnf(p1013, plain, (convergent_lines(sk2,X0) | convergent_lines(X0,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,sk1)) | ~spl43), inference(resolution, [status(thm)], [p105, p744])).
% 29.58/4.29 fof(sdef100, definition, (spl100 <=> (convergent_lines(sk2,X0) | convergent_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl100])], [avatar_definition])).
% 29.58/4.29 cnf(ssp144, plain, (~spl43 | spl34 | spl100), inference(avatar_split_clause, [status(thm)], [p1013, sdef34, sdef100])).
% 29.58/4.29 cnf(p106, plain, convergent_lines(sk2,X0) | convergent_lines(sk3,X1) | ~apart_point_and_line(X2,X1) | distinct_points(X2,intersection_point(X0,X1)), inference(resolution, [status(thm)], [p32, c9])).
% 29.58/4.29 cnf(p1024, plain, (convergent_lines(sk2,X0) | convergent_lines(sk3,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk1)) | ~spl43), inference(resolution, [status(thm)], [p106, p744])).
% 29.58/4.29 fof(sdef101, definition, (spl101 <=> (convergent_lines(sk2,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk1)))), introduced(definition, [new_symbols(naming, [spl101])], [avatar_definition])).
% 29.58/4.29 cnf(ssp145, plain, (~spl43 | spl36 | spl101), inference(avatar_split_clause, [status(thm)], [p1024, sdef36, sdef101])).
% 29.58/4.29 cnf(p1026, plain, (convergent_lines(sk2,X0) | convergent_lines(sk3,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk3)) | ~spl53), inference(resolution, [status(thm)], [p106, p762])).
% 29.58/4.29 cnf(ssp146, plain, (~spl53 | spl102 | spl103), inference(avatar_split_clause, [status(thm)], [p1026, sdef102, sdef103])).
% 29.58/4.29 cnf(p1032, plain, (convergent_lines(sk2,X0) | convergent_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk3)) | ~spl1), inference(resolution, [status(thm)], [p18, p106])).
% 29.58/4.29 fof(sdef104, definition, (spl104 <=> (convergent_lines(sk2,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk3)))), introduced(definition, [new_symbols(naming, [spl104])], [avatar_definition])).
% 29.58/4.29 cnf(ssp147, plain, (~spl1 | spl103 | spl104), inference(avatar_split_clause, [status(thm)], [p1032, sdef103, sdef104])).
% 29.58/4.29 cnf(p491, plain, (convergent_lines(sk0,sk2) | ~spl14), inference(avatar_component_clause, [status(thm)], [sdef14])).
% 29.58/4.29 cnf(p500, plain, (~apart_point_and_line(X0,sk0) | distinct_points(X0,intersection_point(sk0,sk2)) | ~spl14), inference(resolution, [status(thm)], [p491, c8])).
% 29.58/4.29 cnf(p1105, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | distinct_lines(sk3,sk0) | ~spl1 | ~spl14), inference(resolution, [status(thm)], [p500, p130])).
% 29.58/4.29 cnf(ssp148, plain, (~spl1 | ~spl14 | spl5 | spl20), inference(avatar_split_clause, [status(thm)], [p1105, sdef5, sdef20])).
% 29.58/4.29 cnf(p563, plain, (convergent_lines(sk1,X0) | convergent_lines(sk2,X0) | ~spl24), inference(avatar_component_clause, [status(thm)], [sdef24])).
% 29.58/4.29 cnf(p568, plain, (convergent_lines(sk1,sk2) | ~spl24), inference(resolution, [status(thm)], [p563, c2])).
% 29.58/4.29 cnf(p574, plain, (~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk1,sk2)) | ~spl24), inference(resolution, [status(thm)], [p568, c8])).
% 29.58/4.29 cnf(p1111, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk2)) | distinct_lines(sk3,sk1) | ~spl1 | ~spl24), inference(resolution, [status(thm)], [p574, p130])).
% 29.58/4.29 cnf(ssp149, plain, (~spl1 | ~spl24 | spl6 | spl18), inference(avatar_split_clause, [status(thm)], [p1111, sdef6, sdef18])).
% 29.58/4.29 fof(f9, axiom, ! [X,Y,Z] : ( apart_point_and_line(X,Y) => ( distinct_points(X,Z) | apart_point_and_line(Z,Y) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ceq1)).
% 29.58/4.29 fof(f9_nnf, plain, ! [X,Y,Z] : ((~(apart_point_and_line(X,Y)) | (distinct_points(X,Z) | apart_point_and_line(Z,Y)))), inference(nnf_transformation, [status(thm)], [f9])).
% 29.58/4.29 fof(f9_sk, plain, ! [X,Y,Z] : ((~(apart_point_and_line(X,Y)) | (distinct_points(X,Z) | apart_point_and_line(Z,Y)))), inference(skolemisation, [status(esa)], [f9_nnf])).
% 29.58/4.29 cnf(c11, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,X2) | apart_point_and_line(X2,X1), inference(cnf_transformation, [status(esa)], [f9_sk])).
% 29.58/4.29 cnf(p115, plain, (distinct_points(intersection_point(sk0,sk1),X0) | apart_point_and_line(X0,sk3) | ~spl1), inference(resolution, [status(thm)], [c11, p18])).
% 29.58/4.29 fof(f3, axiom, ! [X,Y,Z] : ( distinct_points(X,Y) => ( distinct_points(X,Z) | distinct_points(Y,Z) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart4)).
% 29.58/4.29 fof(f3_nnf, plain, ! [X,Y,Z] : ((~(distinct_points(X,Y)) | (distinct_points(X,Z) | distinct_points(Y,Z)))), inference(nnf_transformation, [status(thm)], [f3])).
% 29.58/4.29 fof(f3_sk, plain, ! [X,Y,Z] : ((~(distinct_points(X,Y)) | (distinct_points(X,Z) | distinct_points(Y,Z)))), inference(skolemisation, [status(esa)], [f3_nnf])).
% 29.58/4.29 cnf(c3, plain, ~distinct_points(X0,X1) | distinct_points(X0,X2) | distinct_points(X1,X2), inference(cnf_transformation, [status(esa)], [f3_sk])).
% 29.58/4.29 cnf(p125, plain, (apart_point_and_line(X0,sk3) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p115, c3])).
% 29.58/4.29 cnf(p1132, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X1,X0) | convergent_lines(sk0,sk3) | convergent_lines(sk1,X2) | distinct_points(X1,intersection_point(sk3,X2)) | ~spl1), inference(resolution, [status(thm)], [p125, p66])).
% 29.58/4.29 fof(sdef105, definition, (spl105 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X1,X0) | convergent_lines(sk1,X2) | distinct_points(X1,intersection_point(sk3,X2)))), introduced(definition, [new_symbols(naming, [spl105])], [avatar_definition])).
% 29.58/4.29 cnf(ssp150, plain, (~spl1 | spl16 | spl105), inference(avatar_split_clause, [status(thm)], [p1132, sdef16, sdef105])).
% 29.58/4.29 cnf(p1134, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X1,X0) | distinct_points(X1,intersection_point(sk1,sk3)) | convergent_lines(sk0,sk3) | ~spl1), inference(resolution, [status(thm)], [p125, p69])).
% 29.58/4.29 fof(sdef106, definition, (spl106 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X1,X0) | distinct_points(X1,intersection_point(sk1,sk3)))), introduced(definition, [new_symbols(naming, [spl106])], [avatar_definition])).
% 29.58/4.29 cnf(ssp151, plain, (~spl1 | spl16 | spl106), inference(avatar_split_clause, [status(thm)], [p1134, sdef16, sdef106])).
% 29.58/4.29 cnf(p1136, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X1,X0) | distinct_points(X1,intersection_point(sk0,sk3)) | distinct_lines(sk1,sk3) | ~spl1), inference(resolution, [status(thm)], [p125, p71])).
% 29.58/4.29 fof(sdef107, definition, (spl107 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X1,X0) | distinct_points(X1,intersection_point(sk0,sk3)))), introduced(definition, [new_symbols(naming, [spl107])], [avatar_definition])).
% 29.58/4.29 cnf(ssp152, plain, (~spl1 | spl23 | spl107), inference(avatar_split_clause, [status(thm)], [p1136, sdef23, sdef107])).
% 29.58/4.29 cnf(p1138, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X1,X0) | distinct_points(X1,intersection_point(sk0,sk3)) | convergent_lines(sk1,X2) | convergent_lines(sk3,X2) | ~spl1), inference(resolution, [status(thm)], [p125, p73])).
% 29.58/4.29 cnf(ssp153, plain, (~spl1 | spl25 | spl107), inference(avatar_split_clause, [status(thm)], [p1138, sdef25, sdef107])).
% 29.58/4.29 cnf(p1139, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X1,X0) | distinct_points(X1,intersection_point(sk1,sk3)) | convergent_lines(sk0,X2) | convergent_lines(X2,sk3) | ~spl1), inference(resolution, [status(thm)], [p125, p74])).
% 29.58/4.29 cnf(ssp154, plain, (~spl1 | spl27 | spl106), inference(avatar_split_clause, [status(thm)], [p1139, sdef27, sdef106])).
% 29.58/4.29 cnf(p1140, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X1,X0) | distinct_points(X1,intersection_point(X2,sk3)) | convergent_lines(sk0,X2) | convergent_lines(sk1,sk3) | ~spl1), inference(resolution, [status(thm)], [p125, p75])).
% 29.58/4.29 fof(sdef108, definition, (spl108 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X1,X0) | distinct_points(X1,intersection_point(X2,sk3)) | convergent_lines(sk0,X2))), introduced(definition, [new_symbols(naming, [spl108])], [avatar_definition])).
% 29.58/4.29 cnf(ssp155, plain, (~spl1 | spl31 | spl108), inference(avatar_split_clause, [status(thm)], [p1140, sdef31, sdef108])).
% 29.58/4.29 cnf(p1142, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X1,X0) | convergent_lines(sk0,sk3) | distinct_points(X1,intersection_point(sk3,sk1)) | ~spl1), inference(resolution, [status(thm)], [p125, p80])).
% 29.58/4.29 fof(sdef109, definition, (spl109 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X1,X0) | distinct_points(X1,intersection_point(sk3,sk1)))), introduced(definition, [new_symbols(naming, [spl109])], [avatar_definition])).
% 29.58/4.29 cnf(ssp156, plain, (~spl1 | spl16 | spl109), inference(avatar_split_clause, [status(thm)], [p1142, sdef16, sdef109])).
% 29.58/4.29 cnf(p1144, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X1,X0) | convergent_lines(sk3,sk1) | distinct_points(X1,intersection_point(sk0,sk3)) | ~spl1), inference(resolution, [status(thm)], [p125, p81])).
% 29.58/4.29 cnf(ssp157, plain, (~spl1 | spl36 | spl107), inference(avatar_split_clause, [status(thm)], [p1144, sdef36, sdef107])).
% 29.58/4.29 cnf(p1145, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X1,X0) | distinct_lines(sk0,sk3) | distinct_points(X1,intersection_point(sk3,sk1)) | ~spl1), inference(resolution, [status(thm)], [p125, p83])).
% 29.58/4.29 cnf(ssp158, plain, (~spl1 | spl39 | spl109), inference(avatar_split_clause, [status(thm)], [p1145, sdef39, sdef109])).
% 29.58/4.29 cnf(p1146, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X1,X0) | distinct_lines(sk3,sk1) | distinct_points(X1,intersection_point(sk0,sk3)) | ~spl1), inference(resolution, [status(thm)], [p125, p87])).
% 29.58/4.29 cnf(ssp159, plain, (~spl1 | spl6 | spl107), inference(avatar_split_clause, [status(thm)], [p1146, sdef6, sdef107])).
% 29.58/4.29 cnf(p1148, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X1,X0) | convergent_lines(sk2,X2) | convergent_lines(sk3,sk3) | distinct_points(X1,intersection_point(X2,sk3)) | ~spl1), inference(resolution, [status(thm)], [p125, p106])).
% 29.58/4.29 fof(sdef110, definition, (spl110 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X1,X0) | convergent_lines(sk2,X2) | distinct_points(X1,intersection_point(X2,sk3)))), introduced(definition, [new_symbols(naming, [spl110])], [avatar_definition])).
% 29.58/4.29 cnf(ssp160, plain, (~spl1 | spl103 | spl110), inference(avatar_split_clause, [status(thm)], [p1148, sdef103, sdef110])).
% 29.58/4.29 cnf(p598, plain, (convergent_lines(sk1,sk2) | ~spl29), inference(avatar_component_clause, [status(thm)], [sdef29])).
% 29.58/4.29 cnf(p606, plain, (~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk1,sk2)) | ~spl29), inference(resolution, [status(thm)], [p598, c8])).
% 29.58/4.29 cnf(p1154, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk2)) | distinct_lines(sk3,sk1) | ~spl1 | ~spl29), inference(resolution, [status(thm)], [p606, p130])).
% 29.58/4.29 cnf(ssp161, plain, (~spl1 | ~spl29 | spl6 | spl18), inference(avatar_split_clause, [status(thm)], [p1154, sdef6, sdef18])).
% 29.58/4.29 cnf(p126, plain, (apart_point_and_line(X0,sk3) | ~apart_point_and_line(X1,line_connecting(intersection_point(sk0,sk1),X0)) | distinct_points(X1,intersection_point(sk0,sk1)) | ~spl1), inference(resolution, [status(thm)], [p115, c6])).
% 29.58/4.29 cnf(p1157, plain, (apart_point_and_line(X0,sk3) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | distinct_lines(sk3,line_connecting(intersection_point(sk0,sk1),X0)) | ~spl1), inference(resolution, [status(thm)], [p126, p130])).
% 29.58/4.29 fof(sdef111, definition, (spl111 <=> (apart_point_and_line(X0,sk3) | distinct_lines(sk3,line_connecting(intersection_point(sk0,sk1),X0)))), introduced(definition, [new_symbols(naming, [spl111])], [avatar_definition])).
% 29.58/4.29 cnf(ssp162, plain, (~spl1 | spl3 | spl111), inference(avatar_split_clause, [status(thm)], [p1157, sdef3, sdef111])).
% 29.58/4.29 cnf(p622, plain, (convergent_lines(sk0,sk2) | ~spl26), inference(resolution, [status(thm)], [p583, c2])).
% 29.58/4.29 cnf(p639, plain, (~apart_point_and_line(X0,sk0) | distinct_points(X0,intersection_point(sk0,sk2)) | ~spl26), inference(resolution, [status(thm)], [p622, c8])).
% 29.58/4.29 cnf(p1163, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | distinct_lines(sk3,sk0) | ~spl1 | ~spl26), inference(resolution, [status(thm)], [p639, p130])).
% 29.58/4.29 cnf(ssp163, plain, (~spl1 | ~spl26 | spl5 | spl20), inference(avatar_split_clause, [status(thm)], [p1163, sdef5, sdef20])).
% 29.58/4.29 cnf(p656, plain, (convergent_lines(sk2,sk1) | ~spl35), inference(avatar_component_clause, [status(thm)], [sdef35])).
% 29.58/4.29 cnf(p665, plain, (~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk2,sk1)) | ~spl35), inference(resolution, [status(thm)], [p656, c9])).
% 29.58/4.29 cnf(p1170, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk1)) | distinct_lines(sk3,sk1) | ~spl1 | ~spl35), inference(resolution, [status(thm)], [p665, p130])).
% 29.58/4.29 cnf(ssp164, plain, (~spl1 | ~spl35 | spl6 | spl33), inference(avatar_split_clause, [status(thm)], [p1170, sdef6, sdef33])).
% 29.58/4.29 cnf(p128, plain, (apart_point_and_line(X0,sk3) | ~distinct_lines(X1,X2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,X2) | ~spl1), inference(resolution, [status(thm)], [p115, c10])).
% 29.58/4.29 cnf(p1171, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk1) | ~spl1), inference(resolution, [status(thm)], [p128, p21])).
% 29.58/4.29 fof(sdef112, definition, (spl112 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk1))), introduced(definition, [new_symbols(naming, [spl112])], [avatar_definition])).
% 29.58/4.29 cnf(ssp165, plain, (~spl1 | spl42 | spl43 | spl112), inference(avatar_split_clause, [status(thm)], [p1171, sdef42, sdef43, sdef112])).
% 29.58/4.29 cnf(p1173, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X1) | ~spl1), inference(resolution, [status(thm)], [p128, p23])).
% 29.58/4.29 fof(sdef113, definition, (spl113 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X1))), introduced(definition, [new_symbols(naming, [spl113])], [avatar_definition])).
% 29.58/4.29 cnf(ssp166, plain, (~spl1 | spl43 | spl113), inference(avatar_split_clause, [status(thm)], [p1173, sdef43, sdef113])).
% 29.58/4.29 cnf(p1175, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p128, p27])).
% 29.58/4.29 fof(sdef114, definition, (spl114 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl114])], [avatar_definition])).
% 29.58/4.29 cnf(ssp167, plain, (~spl1 | spl42 | spl114), inference(avatar_split_clause, [status(thm)], [p1175, sdef42, sdef114])).
% 29.58/4.29 cnf(p1177, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X1) | ~spl1), inference(resolution, [status(thm)], [p128, p27])).
% 29.58/4.29 fof(sdef115, definition, (spl115 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X1))), introduced(definition, [new_symbols(naming, [spl115])], [avatar_definition])).
% 29.58/4.29 cnf(ssp168, plain, (~spl1 | spl43 | spl115), inference(avatar_split_clause, [status(thm)], [p1177, sdef43, sdef115])).
% 29.58/4.29 cnf(p1180, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk1) | ~spl1), inference(resolution, [status(thm)], [p128, p37])).
% 29.58/4.29 fof(sdef116, definition, (spl116 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk1))), introduced(definition, [new_symbols(naming, [spl116])], [avatar_definition])).
% 29.58/4.29 cnf(ssp169, plain, (~spl1 | spl42 | spl116), inference(avatar_split_clause, [status(thm)], [p1180, sdef42, sdef116])).
% 29.58/4.29 cnf(p1182, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p128, p28])).
% 29.58/4.29 fof(sdef117, definition, (spl117 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl117])], [avatar_definition])).
% 29.58/4.29 cnf(ssp170, plain, (~spl1 | spl0 | spl117), inference(avatar_split_clause, [status(thm)], [p1182, sdef0, sdef117])).
% 29.58/4.29 cnf(p1184, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk3) | ~spl1), inference(resolution, [status(thm)], [p128, p42])).
% 29.58/4.29 fof(sdef118, definition, (spl118 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk3))), introduced(definition, [new_symbols(naming, [spl118])], [avatar_definition])).
% 29.58/4.29 cnf(ssp171, plain, (~spl1 | spl0 | spl118), inference(avatar_split_clause, [status(thm)], [p1184, sdef0, sdef118])).
% 29.58/4.29 cnf(p1186, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk0) | ~spl1 | ~spl2), inference(resolution, [status(thm)], [p128, p132])).
% 29.58/4.29 fof(sdef119, definition, (spl119 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk0))), introduced(definition, [new_symbols(naming, [spl119])], [avatar_definition])).
% 29.58/4.29 cnf(ssp172, plain, (~spl1 | ~spl2 | spl0 | spl42 | spl119), inference(avatar_split_clause, [status(thm)], [p1186, sdef0, sdef42, sdef119])).
% 29.58/4.29 cnf(p1188, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | ~spl1 | ~spl4), inference(resolution, [status(thm)], [p128, p135])).
% 29.58/4.29 fof(sdef120, definition, (spl120 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1))), introduced(definition, [new_symbols(naming, [spl120])], [avatar_definition])).
% 29.58/4.29 cnf(ssp173, plain, (~spl1 | ~spl4 | spl0 | spl43 | spl120), inference(avatar_split_clause, [status(thm)], [p1188, sdef0, sdef43, sdef120])).
% 29.58/4.29 cnf(p1190, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X1) | ~spl1 | ~spl2), inference(resolution, [status(thm)], [p128, p138])).
% 29.58/4.29 fof(sdef121, definition, (spl121 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X1))), introduced(definition, [new_symbols(naming, [spl121])], [avatar_definition])).
% 29.58/4.29 cnf(ssp174, plain, (~spl1 | ~spl2 | spl0 | spl121), inference(avatar_split_clause, [status(thm)], [p1190, sdef0, sdef121])).
% 29.58/4.29 cnf(p1192, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk1,X1) | ~spl1 | ~spl4), inference(resolution, [status(thm)], [p128, p139])).
% 29.58/4.29 fof(sdef122, definition, (spl122 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk1,X1))), introduced(definition, [new_symbols(naming, [spl122])], [avatar_definition])).
% 29.58/4.29 cnf(ssp175, plain, (~spl1 | ~spl4 | spl0 | spl122), inference(avatar_split_clause, [status(thm)], [p1192, sdef0, sdef122])).
% 29.58/4.29 cnf(p1194, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk0) | ~spl1), inference(resolution, [status(thm)], [p128, p163])).
% 29.58/4.29 fof(sdef123, definition, (spl123 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk0))), introduced(definition, [new_symbols(naming, [spl123])], [avatar_definition])).
% 29.58/4.29 cnf(ssp176, plain, (~spl1 | spl43 | spl123), inference(avatar_split_clause, [status(thm)], [p1194, sdef43, sdef123])).
% 29.58/4.29 cnf(p1196, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk0) | distinct_lines(sk1,X1) | ~spl1), inference(resolution, [status(thm)], [p128, p163])).
% 29.58/4.29 fof(sdef124, definition, (spl124 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk0) | distinct_lines(sk1,X1))), introduced(definition, [new_symbols(naming, [spl124])], [avatar_definition])).
% 29.58/4.29 cnf(ssp177, plain, (~spl1 | spl42 | spl124), inference(avatar_split_clause, [status(thm)], [p1196, sdef42, sdef124])).
% 29.58/4.29 cnf(p1198, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p128, p38])).
% 29.58/4.29 fof(sdef125, definition, (spl125 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl125])], [avatar_definition])).
% 29.58/4.29 cnf(ssp178, plain, (~spl1 | spl43 | spl125), inference(avatar_split_clause, [status(thm)], [p1198, sdef43, sdef125])).
% 29.58/4.29 cnf(p1201, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X1) | ~spl1), inference(resolution, [status(thm)], [p128, p38])).
% 29.58/4.29 fof(sdef126, definition, (spl126 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X1))), introduced(definition, [new_symbols(naming, [spl126])], [avatar_definition])).
% 29.58/4.29 cnf(ssp179, plain, (~spl1 | spl42 | spl126), inference(avatar_split_clause, [status(thm)], [p1201, sdef42, sdef126])).
% 29.58/4.29 cnf(p1204, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p128, p39])).
% 29.58/4.29 fof(sdef127, definition, (spl127 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl127])], [avatar_definition])).
% 29.58/4.29 cnf(ssp180, plain, (~spl1 | spl42 | spl127), inference(avatar_split_clause, [status(thm)], [p1204, sdef42, sdef127])).
% 29.58/4.29 cnf(p1206, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X1) | ~spl1), inference(resolution, [status(thm)], [p128, p39])).
% 29.58/4.29 fof(sdef128, definition, (spl128 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X1))), introduced(definition, [new_symbols(naming, [spl128])], [avatar_definition])).
% 29.58/4.29 cnf(ssp181, plain, (~spl1 | spl43 | spl128), inference(avatar_split_clause, [status(thm)], [p1206, sdef43, sdef128])).
% 29.58/4.29 cnf(p1209, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk1) | distinct_lines(sk0,X2) | distinct_lines(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p128, p41])).
% 29.58/4.29 fof(sdef129, definition, (spl129 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk1) | distinct_lines(sk0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl129])], [avatar_definition])).
% 29.58/4.29 cnf(ssp182, plain, (~spl1 | spl43 | spl129), inference(avatar_split_clause, [status(thm)], [p1209, sdef43, sdef129])).
% 29.58/4.29 cnf(p1211, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X2,sk1) | distinct_lines(X2,X1) | ~spl1), inference(resolution, [status(thm)], [p128, p41])).
% 29.58/4.29 fof(sdef130, definition, (spl130 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X2,sk1) | distinct_lines(X2,X1))), introduced(definition, [new_symbols(naming, [spl130])], [avatar_definition])).
% 29.58/4.29 cnf(ssp183, plain, (~spl1 | spl42 | spl130), inference(avatar_split_clause, [status(thm)], [p1211, sdef42, sdef130])).
% 29.58/4.29 cnf(p1214, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X1,X3) | distinct_lines(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p128, p40])).
% 29.58/4.29 fof(sdef131, definition, (spl131 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X1,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl131])], [avatar_definition])).
% 29.58/4.29 cnf(ssp184, plain, (~spl1 | spl42 | spl131), inference(avatar_split_clause, [status(thm)], [p1214, sdef42, sdef131])).
% 29.58/4.29 cnf(p1216, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X3) | distinct_lines(X1,X3) | ~spl1), inference(resolution, [status(thm)], [p128, p40])).
% 29.58/4.29 fof(sdef132, definition, (spl132 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X3) | distinct_lines(X1,X3))), introduced(definition, [new_symbols(naming, [spl132])], [avatar_definition])).
% 29.58/4.29 cnf(ssp185, plain, (~spl1 | spl43 | spl132), inference(avatar_split_clause, [status(thm)], [p1216, sdef43, sdef132])).
% 29.58/4.29 cnf(p1219, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(X2,sk3) | distinct_lines(X2,X1) | ~spl1), inference(resolution, [status(thm)], [p128, p46])).
% 29.58/4.29 fof(sdef133, definition, (spl133 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(X2,sk3) | distinct_lines(X2,X1))), introduced(definition, [new_symbols(naming, [spl133])], [avatar_definition])).
% 29.58/4.29 cnf(ssp186, plain, (~spl1 | spl0 | spl133), inference(avatar_split_clause, [status(thm)], [p1219, sdef0, sdef133])).
% 29.58/4.29 cnf(p1222, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X1) | ~spl1), inference(resolution, [status(thm)], [p128, p43])).
% 29.58/4.29 fof(sdef134, definition, (spl134 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X1))), introduced(definition, [new_symbols(naming, [spl134])], [avatar_definition])).
% 29.58/4.29 cnf(ssp187, plain, (~spl1 | spl0 | spl134), inference(avatar_split_clause, [status(thm)], [p1222, sdef0, sdef134])).
% 29.58/4.29 cnf(p1226, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(X1,X2) | distinct_lines(sk3,X3) | distinct_lines(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p128, p44])).
% 29.58/4.29 fof(sdef135, definition, (spl135 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(X1,X2) | distinct_lines(sk3,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl135])], [avatar_definition])).
% 29.58/4.29 cnf(ssp188, plain, (~spl1 | spl0 | spl135), inference(avatar_split_clause, [status(thm)], [p1226, sdef0, sdef135])).
% 29.58/4.29 cnf(p1228, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X1,X3) | distinct_lines(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p128, p45])).
% 29.58/4.29 fof(sdef136, definition, (spl136 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X1,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl136])], [avatar_definition])).
% 29.58/4.29 cnf(ssp189, plain, (~spl1 | spl0 | spl136), inference(avatar_split_clause, [status(thm)], [p1228, sdef0, sdef136])).
% 29.58/4.29 cnf(p1231, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | convergent_lines(sk0,X2) | distinct_lines(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p128, p143])).
% 29.58/4.29 fof(sdef137, definition, (spl137 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | convergent_lines(sk0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl137])], [avatar_definition])).
% 29.58/4.29 cnf(ssp190, plain, (~spl1 | spl43 | spl137), inference(avatar_split_clause, [status(thm)], [p1231, sdef43, sdef137])).
% 29.58/4.29 cnf(p355, plain, (distinct_lines(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl10), inference(avatar_component_clause, [status(thm)], [sdef10])).
% 29.58/4.29 cnf(p1234, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl1 | ~spl10), inference(resolution, [status(thm)], [p128, p355])).
% 29.58/4.29 fof(sdef138, definition, (spl138 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))))), introduced(definition, [new_symbols(naming, [spl138])], [avatar_definition])).
% 29.58/4.29 cnf(ssp191, plain, (~spl1 | ~spl10 | spl0 | spl73 | spl138), inference(avatar_split_clause, [status(thm)], [p1234, sdef0, sdef73, sdef138])).
% 29.58/4.29 cnf(p1236, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X1,X2) | ~spl1 | ~spl2), inference(resolution, [status(thm)], [p128, p151])).
% 29.58/4.29 fof(sdef139, definition, (spl139 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl139])], [avatar_definition])).
% 29.58/4.29 cnf(ssp192, plain, (~spl1 | ~spl2 | spl42 | spl139), inference(avatar_split_clause, [status(thm)], [p1236, sdef42, sdef139])).
% 29.58/4.29 cnf(p1238, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X1) | ~spl1 | ~spl2), inference(resolution, [status(thm)], [p128, p151])).
% 29.58/4.29 fof(sdef140, definition, (spl140 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X1))), introduced(definition, [new_symbols(naming, [spl140])], [avatar_definition])).
% 29.58/4.29 cnf(ssp193, plain, (~spl1 | ~spl2 | spl0 | spl140), inference(avatar_split_clause, [status(thm)], [p1238, sdef0, sdef140])).
% 29.58/4.29 cnf(p1241, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk2) | ~spl1 | ~spl2), inference(resolution, [status(thm)], [p128, p360])).
% 29.58/4.29 fof(sdef141, definition, (spl141 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk2))), introduced(definition, [new_symbols(naming, [spl141])], [avatar_definition])).
% 29.58/4.29 cnf(ssp194, plain, (~spl1 | ~spl2 | spl42 | spl141), inference(avatar_split_clause, [status(thm)], [p1241, sdef42, sdef141])).
% 29.58/4.29 cnf(p1243, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X1,X2) | ~spl1 | ~spl4), inference(resolution, [status(thm)], [p128, p153])).
% 29.58/4.29 fof(sdef142, definition, (spl142 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl142])], [avatar_definition])).
% 29.58/4.29 cnf(ssp195, plain, (~spl1 | ~spl4 | spl43 | spl142), inference(avatar_split_clause, [status(thm)], [p1243, sdef43, sdef142])).
% 29.58/4.29 cnf(p1245, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X2,X1) | ~spl1 | ~spl4), inference(resolution, [status(thm)], [p128, p153])).
% 29.58/4.29 fof(sdef143, definition, (spl143 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X2,X1))), introduced(definition, [new_symbols(naming, [spl143])], [avatar_definition])).
% 29.58/4.29 cnf(ssp196, plain, (~spl1 | ~spl4 | spl0 | spl143), inference(avatar_split_clause, [status(thm)], [p1245, sdef0, sdef143])).
% 29.58/4.29 cnf(p1248, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk2) | ~spl1 | ~spl4), inference(resolution, [status(thm)], [p128, p365])).
% 29.58/4.29 fof(sdef144, definition, (spl144 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk2))), introduced(definition, [new_symbols(naming, [spl144])], [avatar_definition])).
% 29.58/4.29 cnf(ssp197, plain, (~spl1 | ~spl4 | spl43 | spl144), inference(avatar_split_clause, [status(thm)], [p1248, sdef43, sdef144])).
% 29.58/4.29 cnf(p1250, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(X2,sk0) | distinct_lines(X2,X1) | ~spl1), inference(resolution, [status(thm)], [p128, p169])).
% 29.58/4.29 fof(sdef145, definition, (spl145 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(X2,sk0) | distinct_lines(X2,X1))), introduced(definition, [new_symbols(naming, [spl145])], [avatar_definition])).
% 29.58/4.29 cnf(ssp198, plain, (~spl1 | spl43 | spl145), inference(avatar_split_clause, [status(thm)], [p1250, sdef43, sdef145])).
% 29.58/4.29 cnf(p1253, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X2,X1) | ~spl1), inference(resolution, [status(thm)], [p128, p170])).
% 29.58/4.29 fof(sdef146, definition, (spl146 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X2,X1))), introduced(definition, [new_symbols(naming, [spl146])], [avatar_definition])).
% 29.58/4.29 cnf(ssp199, plain, (~spl1 | spl42 | spl146), inference(avatar_split_clause, [status(thm)], [p1253, sdef42, sdef146])).
% 29.58/4.29 cnf(p1255, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X1,X2) | ~spl1 | ~spl5), inference(resolution, [status(thm)], [p128, p186])).
% 29.58/4.29 fof(sdef147, definition, (spl147 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl147])], [avatar_definition])).
% 29.58/4.29 cnf(ssp200, plain, (~spl1 | ~spl5 | spl42 | spl147), inference(avatar_split_clause, [status(thm)], [p1255, sdef42, sdef147])).
% 29.58/4.29 cnf(p1257, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk3) | ~spl1 | ~spl5), inference(resolution, [status(thm)], [p128, p412])).
% 29.58/4.29 fof(sdef148, definition, (spl148 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk3))), introduced(definition, [new_symbols(naming, [spl148])], [avatar_definition])).
% 29.58/4.29 cnf(ssp201, plain, (~spl1 | ~spl5 | spl42 | spl148), inference(avatar_split_clause, [status(thm)], [p1257, sdef42, sdef148])).
% 29.58/4.29 cnf(p1259, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X1,X2) | distinct_lines(X2,sk1) | ~spl1), inference(resolution, [status(thm)], [p128, p187])).
% 29.58/4.29 fof(sdef149, definition, (spl149 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X1,X2) | distinct_lines(X2,sk1))), introduced(definition, [new_symbols(naming, [spl149])], [avatar_definition])).
% 29.58/4.29 cnf(ssp202, plain, (~spl1 | spl42 | spl149), inference(avatar_split_clause, [status(thm)], [p1259, sdef42, sdef149])).
% 29.58/4.29 cnf(p1261, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X1,X2) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p128, p191])).
% 29.58/4.29 fof(sdef150, definition, (spl150 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl150])], [avatar_definition])).
% 29.58/4.29 cnf(ssp203, plain, (~spl1 | ~spl6 | spl43 | spl150), inference(avatar_split_clause, [status(thm)], [p1261, sdef43, sdef150])).
% 29.58/4.29 cnf(p1263, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk3) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p128, p418])).
% 29.58/4.29 fof(sdef151, definition, (spl151 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk3))), introduced(definition, [new_symbols(naming, [spl151])], [avatar_definition])).
% 29.58/4.29 cnf(ssp204, plain, (~spl1 | ~spl6 | spl43 | spl151), inference(avatar_split_clause, [status(thm)], [p1263, sdef43, sdef151])).
% 29.58/4.29 cnf(p1265, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | convergent_lines(sk1,X2) | distinct_lines(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p128, p209])).
% 29.58/4.29 fof(sdef152, definition, (spl152 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | convergent_lines(sk1,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl152])], [avatar_definition])).
% 29.58/4.29 cnf(ssp205, plain, (~spl1 | spl42 | spl152), inference(avatar_split_clause, [status(thm)], [p1265, sdef42, sdef152])).
% 29.58/4.29 cnf(p1268, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | convergent_lines(sk0,X2) | distinct_lines(X2,X1) | ~spl1), inference(resolution, [status(thm)], [p128, p218])).
% 29.58/4.29 fof(sdef153, definition, (spl153 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | convergent_lines(sk0,X2) | distinct_lines(X2,X1))), introduced(definition, [new_symbols(naming, [spl153])], [avatar_definition])).
% 29.58/4.29 cnf(ssp206, plain, (~spl1 | spl43 | spl153), inference(avatar_split_clause, [status(thm)], [p1268, sdef43, sdef153])).
% 29.58/4.29 cnf(p231, plain, distinct_lines(sk2,X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk3), inference(resolution, [status(thm)], [p44, c1])).
% 29.58/4.29 cnf(p1270, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(X1,X2) | distinct_lines(X2,sk3) | ~spl1), inference(resolution, [status(thm)], [p128, p231])).
% 29.58/4.29 fof(sdef154, definition, (spl154 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(X1,X2) | distinct_lines(X2,sk3))), introduced(definition, [new_symbols(naming, [spl154])], [avatar_definition])).
% 29.58/4.29 cnf(ssp207, plain, (~spl1 | spl0 | spl154), inference(avatar_split_clause, [status(thm)], [p1270, sdef0, sdef154])).
% 29.58/4.29 cnf(p498, plain, (distinct_lines(sk0,sk2) | ~spl14), inference(resolution, [status(thm)], [p491, c13])).
% 29.58/4.29 cnf(p1273, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | ~spl1 | ~spl14), inference(resolution, [status(thm)], [p128, p498])).
% 29.58/4.29 cnf(ssp208, plain, (~spl1 | ~spl14 | spl0 | spl42 | spl119), inference(avatar_split_clause, [status(thm)], [p1273, sdef0, sdef42, sdef119])).
% 29.58/4.29 cnf(p506, plain, (distinct_lines(sk0,X0) | distinct_lines(sk2,X0) | ~spl14), inference(resolution, [status(thm)], [p498, c4])).
% 29.58/4.29 cnf(p1274, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X1) | ~spl1 | ~spl14), inference(resolution, [status(thm)], [p128, p506])).
% 29.58/4.29 cnf(ssp209, plain, (~spl1 | ~spl14 | spl0 | spl121), inference(avatar_split_clause, [status(thm)], [p1274, sdef0, sdef121])).
% 29.58/4.29 cnf(p539, plain, (distinct_lines(sk1,sk2) | ~spl21), inference(avatar_component_clause, [status(thm)], [sdef21])).
% 29.58/4.29 cnf(p1275, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk2) | ~spl1 | ~spl21), inference(resolution, [status(thm)], [p128, p539])).
% 29.58/4.29 cnf(ssp210, plain, (~spl1 | ~spl21 | spl0 | spl43 | spl120), inference(avatar_split_clause, [status(thm)], [p1275, sdef0, sdef43, sdef120])).
% 29.58/4.29 cnf(p545, plain, (distinct_lines(sk1,X0) | distinct_lines(sk2,X0) | ~spl21), inference(resolution, [status(thm)], [p539, c4])).
% 29.58/4.29 cnf(p1276, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk1,X1) | ~spl1 | ~spl21), inference(resolution, [status(thm)], [p128, p545])).
% 29.58/4.29 cnf(ssp211, plain, (~spl1 | ~spl21 | spl0 | spl122), inference(avatar_split_clause, [status(thm)], [p1276, sdef0, sdef122])).
% 29.58/4.29 cnf(p573, plain, (distinct_lines(sk1,sk2) | ~spl24), inference(resolution, [status(thm)], [p568, c13])).
% 29.58/4.29 cnf(p1277, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk2) | ~spl1 | ~spl24), inference(resolution, [status(thm)], [p128, p573])).
% 29.58/4.29 cnf(ssp212, plain, (~spl1 | ~spl24 | spl0 | spl43 | spl120), inference(avatar_split_clause, [status(thm)], [p1277, sdef0, sdef43, sdef120])).
% 29.58/4.29 cnf(p604, plain, (distinct_lines(sk1,sk2) | ~spl29), inference(resolution, [status(thm)], [p598, c13])).
% 29.58/4.29 cnf(p1278, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk2) | ~spl1 | ~spl29), inference(resolution, [status(thm)], [p128, p604])).
% 29.58/4.29 cnf(ssp213, plain, (~spl1 | ~spl29 | spl0 | spl43 | spl120), inference(avatar_split_clause, [status(thm)], [p1278, sdef0, sdef43, sdef120])).
% 29.58/4.29 cnf(p576, plain, (distinct_lines(sk1,X0) | distinct_lines(sk2,X0) | ~spl24), inference(resolution, [status(thm)], [p573, c4])).
% 29.58/4.29 cnf(p1279, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk1,X1) | ~spl1 | ~spl24), inference(resolution, [status(thm)], [p128, p576])).
% 29.58/4.29 cnf(ssp214, plain, (~spl1 | ~spl24 | spl0 | spl122), inference(avatar_split_clause, [status(thm)], [p1279, sdef0, sdef122])).
% 29.58/4.29 cnf(p637, plain, (distinct_lines(sk0,sk2) | ~spl26), inference(resolution, [status(thm)], [p622, c13])).
% 29.58/4.29 cnf(p1280, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | ~spl1 | ~spl26), inference(resolution, [status(thm)], [p128, p637])).
% 29.58/4.29 cnf(ssp215, plain, (~spl1 | ~spl26 | spl0 | spl42 | spl119), inference(avatar_split_clause, [status(thm)], [p1280, sdef0, sdef42, sdef119])).
% 29.58/4.29 cnf(p662, plain, (distinct_lines(sk2,sk1) | ~spl35), inference(resolution, [status(thm)], [p656, c13])).
% 29.58/4.29 cnf(p1281, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | ~spl1 | ~spl35), inference(resolution, [status(thm)], [p128, p662])).
% 29.58/4.29 cnf(ssp216, plain, (~spl1 | ~spl35 | spl0 | spl43 | spl120), inference(avatar_split_clause, [status(thm)], [p1281, sdef0, sdef43, sdef120])).
% 29.58/4.29 cnf(p685, plain, (distinct_lines(sk0,sk2) | ~spl38), inference(avatar_component_clause, [status(thm)], [sdef38])).
% 29.58/4.29 cnf(p1282, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | ~spl1 | ~spl38), inference(resolution, [status(thm)], [p128, p685])).
% 29.58/4.29 cnf(ssp217, plain, (~spl1 | ~spl38 | spl0 | spl42 | spl119), inference(avatar_split_clause, [status(thm)], [p1282, sdef0, sdef42, sdef119])).
% 29.58/4.29 cnf(p612, plain, (distinct_lines(sk1,X0) | distinct_lines(sk2,X0) | ~spl29), inference(resolution, [status(thm)], [p604, c4])).
% 29.58/4.29 cnf(p1283, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk1,X1) | ~spl1 | ~spl29), inference(resolution, [status(thm)], [p128, p612])).
% 29.58/4.29 cnf(ssp218, plain, (~spl1 | ~spl29 | spl0 | spl122), inference(avatar_split_clause, [status(thm)], [p1283, sdef0, sdef122])).
% 29.58/4.29 cnf(p641, plain, (distinct_lines(sk0,X0) | distinct_lines(sk2,X0) | ~spl26), inference(resolution, [status(thm)], [p637, c4])).
% 29.58/4.29 cnf(p1284, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X1) | ~spl1 | ~spl26), inference(resolution, [status(thm)], [p128, p641])).
% 29.58/4.29 cnf(ssp219, plain, (~spl1 | ~spl26 | spl0 | spl121), inference(avatar_split_clause, [status(thm)], [p1284, sdef0, sdef121])).
% 29.58/4.29 cnf(p867, plain, (convergent_lines(sk2,sk0) | ~spl87), inference(avatar_component_clause, [status(thm)], [sdef87])).
% 29.58/4.29 cnf(p873, plain, (distinct_lines(sk2,sk0) | ~spl87), inference(resolution, [status(thm)], [p867, c13])).
% 29.58/4.29 cnf(p1285, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk0) | ~spl1 | ~spl87), inference(resolution, [status(thm)], [p128, p873])).
% 29.58/4.29 cnf(ssp220, plain, (~spl1 | ~spl87 | spl0 | spl42 | spl119), inference(avatar_split_clause, [status(thm)], [p1285, sdef0, sdef42, sdef119])).
% 29.58/4.29 cnf(p670, plain, (distinct_lines(sk2,X0) | distinct_lines(sk1,X0) | ~spl35), inference(resolution, [status(thm)], [p662, c4])).
% 29.58/4.29 cnf(p1286, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk1,X1) | ~spl1 | ~spl35), inference(resolution, [status(thm)], [p128, p670])).
% 29.58/4.29 cnf(ssp221, plain, (~spl1 | ~spl35 | spl0 | spl122), inference(avatar_split_clause, [status(thm)], [p1286, sdef0, sdef122])).
% 29.58/4.29 cnf(p690, plain, (distinct_lines(sk0,X0) | distinct_lines(sk2,X0) | ~spl38), inference(resolution, [status(thm)], [p685, c4])).
% 29.58/4.29 cnf(p1287, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X1) | ~spl1 | ~spl38), inference(resolution, [status(thm)], [p128, p690])).
% 29.58/4.29 cnf(ssp222, plain, (~spl1 | ~spl38 | spl0 | spl121), inference(avatar_split_clause, [status(thm)], [p1287, sdef0, sdef121])).
% 29.58/4.29 cnf(p1288, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk2) | ~spl1 | ~spl26), inference(resolution, [status(thm)], [p128, p697])).
% 29.58/4.29 cnf(ssp223, plain, (~spl1 | ~spl26 | spl42 | spl141), inference(avatar_split_clause, [status(thm)], [p1288, sdef42, sdef141])).
% 29.58/4.29 cnf(p1289, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk3) | ~spl1 | ~spl27), inference(resolution, [status(thm)], [p128, p719])).
% 29.58/4.29 cnf(ssp224, plain, (~spl1 | ~spl27 | spl42 | spl148), inference(avatar_split_clause, [status(thm)], [p1289, sdef42, sdef148])).
% 29.58/4.29 cnf(p892, plain, (distinct_lines(sk2,X0) | distinct_lines(sk0,X0) | ~spl87), inference(resolution, [status(thm)], [p873, c4])).
% 29.58/4.29 cnf(p1290, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X1) | ~spl1 | ~spl87), inference(resolution, [status(thm)], [p128, p892])).
% 29.58/4.29 cnf(ssp225, plain, (~spl1 | ~spl87 | spl0 | spl121), inference(avatar_split_clause, [status(thm)], [p1290, sdef0, sdef121])).
% 29.58/4.29 cnf(p1014, plain, (convergent_lines(sk2,X0) | convergent_lines(X0,sk1) | ~spl100), inference(avatar_component_clause, [status(thm)], [sdef100])).
% 29.58/4.29 cnf(p1058, plain, (convergent_lines(sk2,sk1) | ~spl100), inference(resolution, [status(thm)], [p1014, c2])).
% 29.58/4.29 cnf(p1067, plain, (distinct_lines(sk2,sk1) | ~spl100), inference(resolution, [status(thm)], [p1058, c13])).
% 29.58/4.29 cnf(p1291, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | ~spl1 | ~spl100), inference(resolution, [status(thm)], [p128, p1067])).
% 29.58/4.29 cnf(ssp226, plain, (~spl1 | ~spl100 | spl0 | spl43 | spl120), inference(avatar_split_clause, [status(thm)], [p1291, sdef0, sdef43, sdef120])).
% 29.58/4.29 cnf(p1072, plain, (distinct_lines(sk2,X0) | distinct_lines(sk1,X0) | ~spl100), inference(resolution, [status(thm)], [p1067, c4])).
% 29.58/4.29 cnf(p1292, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk1,X1) | ~spl1 | ~spl100), inference(resolution, [status(thm)], [p128, p1072])).
% 29.58/4.29 cnf(ssp227, plain, (~spl1 | ~spl100 | spl0 | spl122), inference(avatar_split_clause, [status(thm)], [p1292, sdef0, sdef122])).
% 29.58/4.29 cnf(p1059, plain, (convergent_lines(X0,sk1) | distinct_lines(sk2,X0) | ~spl100), inference(resolution, [status(thm)], [p1014, c13])).
% 29.58/4.29 cnf(p1082, plain, (distinct_lines(sk2,X0) | distinct_lines(X0,sk1) | ~spl100), inference(resolution, [status(thm)], [p1059, c13])).
% 29.58/4.29 cnf(p1293, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk1) | ~spl1 | ~spl100), inference(resolution, [status(thm)], [p128, p1082])).
% 29.58/4.29 fof(sdef155, definition, (spl155 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk1))), introduced(definition, [new_symbols(naming, [spl155])], [avatar_definition])).
% 29.58/4.29 cnf(ssp228, plain, (~spl1 | ~spl100 | spl0 | spl155), inference(avatar_split_clause, [status(thm)], [p1293, sdef0, sdef155])).
% 29.58/4.29 cnf(p1295, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk1) | distinct_lines(sk2,X1) | ~spl1 | ~spl100), inference(resolution, [status(thm)], [p128, p1082])).
% 29.58/4.29 fof(sdef156, definition, (spl156 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk1) | distinct_lines(sk2,X1))), introduced(definition, [new_symbols(naming, [spl156])], [avatar_definition])).
% 29.58/4.29 cnf(ssp229, plain, (~spl1 | ~spl100 | spl43 | spl156), inference(avatar_split_clause, [status(thm)], [p1295, sdef43, sdef156])).
% 29.58/4.29 cnf(p663, plain, (convergent_lines(sk2,X0) | convergent_lines(sk1,X0) | ~spl35), inference(resolution, [status(thm)], [p656, c5])).
% 29.58/4.29 cnf(p734, plain, (convergent_lines(sk1,sk2) | ~spl35), inference(resolution, [status(thm)], [p663, c2])).
% 29.58/4.29 cnf(p740, plain, (~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk1,sk2)) | ~spl35), inference(resolution, [status(thm)], [p734, c8])).
% 29.58/4.29 cnf(p1303, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk2)) | distinct_lines(sk3,sk1) | ~spl1 | ~spl35), inference(resolution, [status(thm)], [p740, p130])).
% 29.58/4.29 cnf(ssp230, plain, (~spl1 | ~spl35 | spl6 | spl18), inference(avatar_split_clause, [status(thm)], [p1303, sdef6, sdef18])).
% 29.58/4.29 cnf(p876, plain, (~apart_point_and_line(X0,sk0) | distinct_points(X0,intersection_point(sk2,sk0)) | ~spl87), inference(resolution, [status(thm)], [p867, c9])).
% 29.58/4.29 cnf(p1316, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk0)) | distinct_lines(sk3,sk0) | ~spl1 | ~spl87), inference(resolution, [status(thm)], [p876, p130])).
% 29.58/4.29 cnf(ssp231, plain, (~spl1 | ~spl87 | spl5 | spl88), inference(avatar_split_clause, [status(thm)], [p1316, sdef5, sdef88])).
% 29.58/4.29 cnf(p874, plain, (convergent_lines(sk2,X0) | convergent_lines(sk0,X0) | ~spl87), inference(resolution, [status(thm)], [p867, c5])).
% 29.58/4.29 cnf(p1015, plain, (convergent_lines(sk0,sk2) | ~spl87), inference(resolution, [status(thm)], [p874, c2])).
% 29.58/4.29 cnf(p1021, plain, (~apart_point_and_line(X0,sk0) | distinct_points(X0,intersection_point(sk0,sk2)) | ~spl87), inference(resolution, [status(thm)], [p1015, c8])).
% 29.58/4.29 cnf(p1332, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | distinct_lines(sk3,sk0) | ~spl1 | ~spl87), inference(resolution, [status(thm)], [p1021, p130])).
% 29.58/4.29 cnf(ssp232, plain, (~spl1 | ~spl87 | spl5 | spl20), inference(avatar_split_clause, [status(thm)], [p1332, sdef5, sdef20])).
% 29.58/4.29 cnf(p146, plain, distinct_lines(sk1,X0) | convergent_lines(X0,X1) | ~apart_point_and_line(X2,sk0) | distinct_points(X2,intersection_point(sk0,X1)), inference(resolution, [status(thm)], [p34, c8])).
% 29.58/4.29 cnf(p1333, plain, (distinct_lines(sk1,X0) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X1)) | distinct_lines(sk3,sk0) | ~spl1), inference(resolution, [status(thm)], [p146, p130])).
% 29.58/4.29 fof(sdef157, definition, (spl157 <=> (distinct_lines(sk1,X0) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X1)))), introduced(definition, [new_symbols(naming, [spl157])], [avatar_definition])).
% 29.58/4.29 cnf(ssp233, plain, (~spl1 | spl5 | spl157), inference(avatar_split_clause, [status(thm)], [p1333, sdef5, sdef157])).
% 29.58/4.29 cnf(p147, plain, distinct_lines(sk1,X0) | convergent_lines(sk0,X1) | ~apart_point_and_line(X2,X0) | distinct_points(X2,intersection_point(X0,X1)), inference(resolution, [status(thm)], [p34, c8])).
% 29.58/4.29 cnf(p1341, plain, (distinct_lines(sk1,sk3) | convergent_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,X0)) | ~spl1), inference(resolution, [status(thm)], [p147, p18])).
% 29.58/4.29 fof(sdef158, definition, (spl158 <=> (convergent_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,X0)))), introduced(definition, [new_symbols(naming, [spl158])], [avatar_definition])).
% 29.58/4.29 cnf(ssp234, plain, (~spl1 | spl23 | spl158), inference(avatar_split_clause, [status(thm)], [p1341, sdef23, sdef158])).
% 29.58/4.29 cnf(p1344, plain, (distinct_lines(sk1,sk3) | convergent_lines(sk0,X0) | distinct_points(X1,intersection_point(sk3,X0)) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p147, p125])).
% 29.58/4.29 fof(sdef159, definition, (spl159 <=> (convergent_lines(sk0,X0) | distinct_points(X1,intersection_point(sk3,X0)) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2))), introduced(definition, [new_symbols(naming, [spl159])], [avatar_definition])).
% 29.58/4.29 cnf(ssp235, plain, (~spl1 | spl23 | spl159), inference(avatar_split_clause, [status(thm)], [p1344, sdef23, sdef159])).
% 29.58/4.29 cnf(p1070, plain, (~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk2,sk1)) | ~spl100), inference(resolution, [status(thm)], [p1058, c9])).
% 29.58/4.29 cnf(p1346, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk1)) | distinct_lines(sk3,sk1) | ~spl1 | ~spl100), inference(resolution, [status(thm)], [p1070, p130])).
% 29.58/4.29 cnf(ssp236, plain, (~spl1 | ~spl100 | spl6 | spl33), inference(avatar_split_clause, [status(thm)], [p1346, sdef6, sdef33])).
% 29.58/4.29 cnf(p1068, plain, (convergent_lines(sk2,X0) | convergent_lines(sk1,X0) | ~spl100), inference(resolution, [status(thm)], [p1058, c5])).
% 29.58/4.29 cnf(p1089, plain, (convergent_lines(sk1,sk2) | ~spl100), inference(resolution, [status(thm)], [p1068, c2])).
% 29.58/4.29 cnf(p1095, plain, (~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk1,sk2)) | ~spl100), inference(resolution, [status(thm)], [p1089, c8])).
% 29.58/4.29 cnf(p1347, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk2)) | distinct_lines(sk3,sk1) | ~spl1 | ~spl100), inference(resolution, [status(thm)], [p1095, p130])).
% 29.58/4.29 cnf(ssp237, plain, (~spl1 | ~spl100 | spl6 | spl18), inference(avatar_split_clause, [status(thm)], [p1347, sdef6, sdef18])).
% 29.58/4.29 cnf(p148, plain, distinct_lines(sk1,X0) | convergent_lines(X0,X1) | ~apart_point_and_line(X2,X1) | distinct_points(X2,intersection_point(sk0,X1)), inference(resolution, [status(thm)], [p34, c9])).
% 29.58/4.29 cnf(p1350, plain, (distinct_lines(sk1,X0) | convergent_lines(X0,sk3) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk3)) | ~spl1), inference(resolution, [status(thm)], [p148, p18])).
% 29.58/4.29 fof(sdef160, definition, (spl160 <=> (distinct_lines(sk1,X0) | convergent_lines(X0,sk3))), introduced(definition, [new_symbols(naming, [spl160])], [avatar_definition])).
% 29.58/4.29 cnf(ssp238, plain, (~spl1 | spl22 | spl160), inference(avatar_split_clause, [status(thm)], [p1350, sdef22, sdef160])).
% 29.58/4.29 cnf(p1353, plain, (distinct_lines(sk1,X0) | convergent_lines(X0,sk3) | distinct_points(X1,intersection_point(sk0,sk3)) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p148, p125])).
% 29.58/4.29 fof(sdef161, definition, (spl161 <=> (distinct_points(X0,intersection_point(sk0,sk3)) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl161])], [avatar_definition])).
% 29.58/4.29 cnf(ssp239, plain, (~spl1 | spl160 | spl161), inference(avatar_split_clause, [status(thm)], [p1353, sdef160, sdef161])).
% 29.58/4.29 cnf(p1351, plain, (distinct_lines(sk1,X0) | convergent_lines(X0,sk3) | ~spl160), inference(avatar_component_clause, [status(thm)], [sdef160])).
% 29.58/4.29 cnf(p1356, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk3) | ~spl160), inference(resolution, [status(thm)], [p1351, c13])).
% 29.58/4.29 cnf(p1363, plain, (distinct_lines(X0,sk3) | apart_point_and_line(X1,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | ~spl1 | ~spl160), inference(resolution, [status(thm)], [p1356, p128])).
% 29.58/4.29 fof(sdef162, definition, (spl162 <=> (distinct_lines(X0,sk3) | apart_point_and_line(X1,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0))), introduced(definition, [new_symbols(naming, [spl162])], [avatar_definition])).
% 29.58/4.29 cnf(ssp240, plain, (~spl1 | ~spl160 | spl43 | spl162), inference(avatar_split_clause, [status(thm)], [p1363, sdef43, sdef162])).
% 29.58/4.29 cnf(p149, plain, distinct_lines(sk1,X0) | convergent_lines(sk0,X1) | ~apart_point_and_line(X2,X1) | distinct_points(X2,intersection_point(X0,X1)), inference(resolution, [status(thm)], [p34, c9])).
% 29.58/4.29 cnf(p1365, plain, (distinct_lines(sk1,X0) | convergent_lines(sk0,sk3) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk3)) | ~spl1), inference(resolution, [status(thm)], [p149, p18])).
% 29.58/4.29 fof(sdef163, definition, (spl163 <=> (distinct_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk3)))), introduced(definition, [new_symbols(naming, [spl163])], [avatar_definition])).
% 29.58/4.29 cnf(ssp241, plain, (~spl1 | spl16 | spl163), inference(avatar_split_clause, [status(thm)], [p1365, sdef16, sdef163])).
% 29.58/4.29 cnf(p1368, plain, (distinct_lines(sk1,X0) | convergent_lines(sk0,sk3) | distinct_points(X1,intersection_point(X0,sk3)) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p149, p125])).
% 29.58/4.29 fof(sdef164, definition, (spl164 <=> (distinct_lines(sk1,X0) | distinct_points(X1,intersection_point(X0,sk3)) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2))), introduced(definition, [new_symbols(naming, [spl164])], [avatar_definition])).
% 29.58/4.29 cnf(ssp242, plain, (~spl1 | spl16 | spl164), inference(avatar_split_clause, [status(thm)], [p1368, sdef16, sdef164])).
% 29.58/4.29 cnf(p95, plain, convergent_lines(sk3,X0) | convergent_lines(X1,X0) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p32, c13])).
% 29.58/4.29 cnf(p281, plain, convergent_lines(sk3,X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p95, c13])).
% 29.58/4.29 cnf(p1401, plain, (convergent_lines(sk3,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk2) | apart_point_and_line(X2,X1) | ~spl1), inference(resolution, [status(thm)], [p281, p128])).
% 29.58/4.29 fof(sdef165, definition, (spl165 <=> (convergent_lines(sk3,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk2) | apart_point_and_line(X2,X1))), introduced(definition, [new_symbols(naming, [spl165])], [avatar_definition])).
% 29.58/4.29 cnf(ssp243, plain, (~spl1 | spl0 | spl165), inference(avatar_split_clause, [status(thm)], [p1401, sdef0, sdef165])).
% 29.58/4.29 cnf(p416, plain, (distinct_lines(X0,sk3) | distinct_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl5), inference(resolution, [status(thm)], [p412, c4])).
% 29.58/4.29 cnf(p1498, plain, (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X1) | ~spl1 | ~spl5), inference(resolution, [status(thm)], [p416, p128])).
% 29.58/4.29 fof(sdef166, definition, (spl166 <=> (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X1))), introduced(definition, [new_symbols(naming, [spl166])], [avatar_definition])).
% 29.58/4.29 cnf(ssp244, plain, (~spl1 | ~spl5 | spl42 | spl166), inference(avatar_split_clause, [status(thm)], [p1498, sdef42, sdef166])).
% 29.58/4.29 cnf(p433, plain, (distinct_lines(X0,sk3) | distinct_lines(sk1,X1) | distinct_lines(X0,X1) | ~spl6), inference(resolution, [status(thm)], [p418, c4])).
% 29.58/4.29 cnf(p1505, plain, (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p433, p128])).
% 29.58/4.29 fof(sdef167, definition, (spl167 <=> (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1))), introduced(definition, [new_symbols(naming, [spl167])], [avatar_definition])).
% 29.58/4.29 cnf(ssp245, plain, (~spl1 | ~spl6 | spl43 | spl167), inference(avatar_split_clause, [status(thm)], [p1505, sdef43, sdef167])).
% 29.58/4.29 cnf(p235, plain, convergent_lines(X0,sk1) | convergent_lines(X0,X1) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p78, c13])).
% 29.58/4.29 cnf(p449, plain, convergent_lines(X0,sk1) | distinct_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p235, c13])).
% 29.58/4.29 cnf(p1514, plain, (convergent_lines(X0,sk1) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X1) | ~spl1), inference(resolution, [status(thm)], [p449, p128])).
% 29.58/4.29 fof(sdef168, definition, (spl168 <=> (convergent_lines(X0,sk1) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X1))), introduced(definition, [new_symbols(naming, [spl168])], [avatar_definition])).
% 29.58/4.29 cnf(ssp246, plain, (~spl1 | spl42 | spl168), inference(avatar_split_clause, [status(thm)], [p1514, sdef42, sdef168])).
% 29.58/4.29 cnf(p164, plain, distinct_lines(sk1,X0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(X0,sk0)), inference(resolution, [status(thm)], [p141, c8])).
% 29.58/4.29 cnf(p1538, plain, (distinct_lines(sk1,sk3) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,sk0)) | ~spl1), inference(resolution, [status(thm)], [p164, p18])).
% 29.58/4.29 cnf(ssp247, plain, (~spl1 | spl23 | spl86), inference(avatar_split_clause, [status(thm)], [p1538, sdef23, sdef86])).
% 29.58/4.29 cnf(p1540, plain, (distinct_lines(sk1,sk3) | distinct_points(X0,intersection_point(sk3,sk0)) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p164, p125])).
% 29.58/4.29 fof(sdef169, definition, (spl169 <=> (distinct_points(X0,intersection_point(sk3,sk0)) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl169])], [avatar_definition])).
% 29.58/4.29 cnf(ssp248, plain, (~spl1 | spl23 | spl169), inference(avatar_split_clause, [status(thm)], [p1540, sdef23, sdef169])).
% 29.58/4.29 cnf(p165, plain, distinct_lines(sk1,X0) | ~apart_point_and_line(X1,sk0) | distinct_points(X1,intersection_point(X0,sk0)), inference(resolution, [status(thm)], [p141, c9])).
% 29.58/4.29 cnf(p1570, plain, (distinct_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk0)) | distinct_lines(sk3,sk0) | ~spl1), inference(resolution, [status(thm)], [p165, p130])).
% 29.58/4.29 fof(sdef170, definition, (spl170 <=> (distinct_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk0)))), introduced(definition, [new_symbols(naming, [spl170])], [avatar_definition])).
% 29.58/4.29 cnf(ssp249, plain, (~spl1 | spl5 | spl170), inference(avatar_split_clause, [status(thm)], [p1570, sdef5, sdef170])).
% 29.58/4.29 cnf(p503, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X0) | ~spl16), inference(resolution, [status(thm)], [p494, c5])).
% 29.58/4.29 cnf(p519, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1) | ~spl16), inference(resolution, [status(thm)], [p503, c5])).
% 29.58/4.29 cnf(p1550, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk3) | ~spl16), inference(resolution, [status(thm)], [p519, c2])).
% 29.58/4.29 cnf(p1563, plain, (convergent_lines(X0,sk3) | distinct_lines(sk0,X0) | ~spl16), inference(resolution, [status(thm)], [p1550, c13])).
% 29.58/4.29 cnf(p1572, plain, (distinct_lines(sk0,X0) | distinct_lines(X0,sk3) | ~spl16), inference(resolution, [status(thm)], [p1563, c13])).
% 29.58/4.29 cnf(p1579, plain, (distinct_lines(X0,sk3) | apart_point_and_line(X1,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | ~spl1 | ~spl16), inference(resolution, [status(thm)], [p1572, p128])).
% 29.58/4.29 fof(sdef171, definition, (spl171 <=> (distinct_lines(X0,sk3) | apart_point_and_line(X1,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0))), introduced(definition, [new_symbols(naming, [spl171])], [avatar_definition])).
% 29.58/4.29 cnf(ssp250, plain, (~spl1 | ~spl16 | spl42 | spl171), inference(avatar_split_clause, [status(thm)], [p1579, sdef42, sdef171])).
% 29.58/4.29 cnf(p523, plain, (distinct_lines(sk0,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl16), inference(resolution, [status(thm)], [p507, c4])).
% 29.58/4.29 cnf(p1584, plain, (distinct_lines(sk3,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X1) | ~spl1 | ~spl16), inference(resolution, [status(thm)], [p523, p128])).
% 29.58/4.29 fof(sdef172, definition, (spl172 <=> (distinct_lines(sk3,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X1))), introduced(definition, [new_symbols(naming, [spl172])], [avatar_definition])).
% 29.58/4.29 cnf(ssp251, plain, (~spl1 | ~spl16 | spl42 | spl172), inference(avatar_split_clause, [status(thm)], [p1584, sdef42, sdef172])).
% 29.58/4.29 cnf(p561, plain, (distinct_lines(sk1,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl23), inference(resolution, [status(thm)], [p546, c4])).
% 29.58/4.29 cnf(p1621, plain, (distinct_lines(sk3,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1) | ~spl1 | ~spl23), inference(resolution, [status(thm)], [p561, p128])).
% 29.58/4.29 fof(sdef173, definition, (spl173 <=> (distinct_lines(sk3,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1))), introduced(definition, [new_symbols(naming, [spl173])], [avatar_definition])).
% 29.58/4.29 cnf(ssp252, plain, (~spl1 | ~spl23 | spl43 | spl173), inference(avatar_split_clause, [status(thm)], [p1621, sdef43, sdef173])).
% 29.58/4.29 cnf(p173, plain, distinct_lines(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X0,X2) | distinct_lines(sk1,X3) | distinct_lines(X1,X3), inference(resolution, [status(thm)], [p38, c4])).
% 29.58/4.29 cnf(p1629, plain, (distinct_lines(X0,X1) | distinct_lines(X0,X2) | distinct_lines(sk1,X3) | distinct_lines(X1,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X2) | ~spl1), inference(resolution, [status(thm)], [p173, p128])).
% 29.58/4.29 fof(sdef174, definition, (spl174 <=> (distinct_lines(X0,X1) | distinct_lines(X0,X2) | distinct_lines(sk1,X3) | distinct_lines(X1,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X2))), introduced(definition, [new_symbols(naming, [spl174])], [avatar_definition])).
% 29.58/4.29 cnf(ssp253, plain, (~spl1 | spl42 | spl174), inference(avatar_split_clause, [status(thm)], [p1629, sdef42, sdef174])).
% 29.58/4.29 cnf(p1632, plain, (distinct_lines(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X0,X2) | distinct_lines(X1,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X3) | apart_point_and_line(X4,sk1) | apart_point_and_line(X4,X3) | ~spl1), inference(resolution, [status(thm)], [p173, p128])).
% 29.58/4.29 fof(sdef175, definition, (spl175 <=> (distinct_lines(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X0,X2) | distinct_lines(X1,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X3) | apart_point_and_line(X4,sk1) | apart_point_and_line(X4,X3))), introduced(definition, [new_symbols(naming, [spl175])], [avatar_definition])).
% 29.58/4.29 cnf(ssp254, plain, (~spl1 | spl43 | spl175), inference(avatar_split_clause, [status(thm)], [p1632, sdef43, sdef175])).
% 29.58/4.29 cnf(p1617, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk3) | ~spl23), inference(resolution, [status(thm)], [p561, c1])).
% 29.58/4.29 cnf(p1636, plain, (distinct_lines(X0,sk3) | apart_point_and_line(X1,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | ~spl1 | ~spl23), inference(resolution, [status(thm)], [p1617, p128])).
% 29.58/4.29 cnf(ssp255, plain, (~spl1 | ~spl23 | spl43 | spl162), inference(avatar_split_clause, [status(thm)], [p1636, sdef43, sdef162])).
% 29.58/4.29 cnf(p174, plain, distinct_lines(sk1,X0) | distinct_lines(sk0,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p38, c4])).
% 29.58/4.29 cnf(p1663, plain, (distinct_lines(sk0,X0) | distinct_lines(X1,X0) | distinct_lines(X1,X2) | distinct_lines(X3,X2) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X3) | apart_point_and_line(X4,sk1) | apart_point_and_line(X4,X3) | ~spl1), inference(resolution, [status(thm)], [p174, p128])).
% 29.58/4.29 fof(sdef176, definition, (spl176 <=> (distinct_lines(sk0,X0) | distinct_lines(X1,X0) | distinct_lines(X1,X2) | distinct_lines(X3,X2) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X3) | apart_point_and_line(X4,sk1) | apart_point_and_line(X4,X3))), introduced(definition, [new_symbols(naming, [spl176])], [avatar_definition])).
% 29.58/4.29 cnf(ssp256, plain, (~spl1 | spl43 | spl176), inference(avatar_split_clause, [status(thm)], [p1663, sdef43, sdef176])).
% 29.58/4.29 cnf(p1665, plain, (distinct_lines(sk1,X0) | distinct_lines(X1,X2) | distinct_lines(X1,X3) | distinct_lines(X0,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X2) | ~spl1), inference(resolution, [status(thm)], [p174, p128])).
% 29.58/4.29 fof(sdef177, definition, (spl177 <=> (distinct_lines(sk1,X0) | distinct_lines(X1,X2) | distinct_lines(X1,X3) | distinct_lines(X0,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X2))), introduced(definition, [new_symbols(naming, [spl177])], [avatar_definition])).
% 29.58/4.29 cnf(ssp257, plain, (~spl1 | spl42 | spl177), inference(avatar_split_clause, [status(thm)], [p1665, sdef42, sdef177])).
% 29.58/4.29 cnf(p579, plain, (convergent_lines(sk1,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1) | ~spl25), inference(resolution, [status(thm)], [p565, c5])).
% 29.58/4.29 cnf(p1637, plain, (convergent_lines(sk1,X0) | convergent_lines(X0,sk3) | ~spl25), inference(resolution, [status(thm)], [p579, c2])).
% 29.58/4.29 cnf(p1650, plain, (convergent_lines(X0,sk3) | distinct_lines(sk1,X0) | ~spl25), inference(resolution, [status(thm)], [p1637, c13])).
% 29.58/4.29 cnf(p1657, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk3) | ~spl25), inference(resolution, [status(thm)], [p1650, c13])).
% 29.58/4.29 cnf(p1673, plain, (distinct_lines(X0,sk3) | apart_point_and_line(X1,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | ~spl1 | ~spl25), inference(resolution, [status(thm)], [p1657, p128])).
% 29.58/4.29 cnf(ssp258, plain, (~spl1 | ~spl25 | spl43 | spl162), inference(avatar_split_clause, [status(thm)], [p1673, sdef43, sdef162])).
% 29.58/4.29 cnf(p175, plain, distinct_lines(sk1,X0) | distinct_lines(X1,X0) | distinct_lines(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p38, c4])).
% 29.58/4.29 cnf(p1685, plain, (distinct_lines(X0,X1) | distinct_lines(X0,X2) | distinct_lines(sk0,X3) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X4,sk1) | apart_point_and_line(X4,X1) | ~spl1), inference(resolution, [status(thm)], [p175, p128])).
% 29.58/4.29 fof(sdef178, definition, (spl178 <=> (distinct_lines(X0,X1) | distinct_lines(X0,X2) | distinct_lines(sk0,X3) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X4,sk1) | apart_point_and_line(X4,X1))), introduced(definition, [new_symbols(naming, [spl178])], [avatar_definition])).
% 29.58/4.29 cnf(ssp259, plain, (~spl1 | spl43 | spl178), inference(avatar_split_clause, [status(thm)], [p1685, sdef43, sdef178])).
% 29.58/4.29 cnf(p1688, plain, (distinct_lines(sk1,X0) | distinct_lines(X1,X0) | distinct_lines(X1,X2) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X3) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X3) | ~spl1), inference(resolution, [status(thm)], [p175, p128])).
% 29.58/4.29 fof(sdef179, definition, (spl179 <=> (distinct_lines(sk1,X0) | distinct_lines(X1,X0) | distinct_lines(X1,X2) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X3) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X3))), introduced(definition, [new_symbols(naming, [spl179])], [avatar_definition])).
% 29.58/4.29 cnf(ssp260, plain, (~spl1 | spl42 | spl179), inference(avatar_split_clause, [status(thm)], [p1688, sdef42, sdef179])).
% 29.58/4.29 cnf(p176, plain, distinct_lines(sk1,X0) | distinct_lines(X1,X0) | distinct_lines(sk0,X2) | distinct_lines(X1,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p38, c4])).
% 29.58/4.29 cnf(p1710, plain, (distinct_lines(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X4,sk1) | apart_point_and_line(X4,X1) | ~spl1), inference(resolution, [status(thm)], [p176, p128])).
% 29.58/4.29 fof(sdef180, definition, (spl180 <=> (distinct_lines(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X4,sk1) | apart_point_and_line(X4,X1))), introduced(definition, [new_symbols(naming, [spl180])], [avatar_definition])).
% 29.58/4.29 cnf(ssp261, plain, (~spl1 | spl43 | spl180), inference(avatar_split_clause, [status(thm)], [p1710, sdef43, sdef180])).
% 29.58/4.29 cnf(p1713, plain, (distinct_lines(sk1,X0) | distinct_lines(X1,X0) | distinct_lines(X1,X2) | distinct_lines(X3,X2) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X3) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X3) | ~spl1), inference(resolution, [status(thm)], [p176, p128])).
% 29.58/4.29 fof(sdef181, definition, (spl181 <=> (distinct_lines(sk1,X0) | distinct_lines(X1,X0) | distinct_lines(X1,X2) | distinct_lines(X3,X2) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X3) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X3))), introduced(definition, [new_symbols(naming, [spl181])], [avatar_definition])).
% 29.58/4.29 cnf(ssp262, plain, (~spl1 | spl42 | spl181), inference(avatar_split_clause, [status(thm)], [p1713, sdef42, sdef181])).
% 29.58/4.29 cnf(p181, plain, (distinct_lines(sk3,X0) | distinct_points(intersection_point(sk0,sk1),X1) | apart_point_and_line(X1,X0) | ~spl1), inference(resolution, [status(thm)], [p130, c11])).
% 29.58/4.29 cnf(p1739, plain, (distinct_lines(sk3,sk0) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk0,sk1)) | ~spl1), inference(resolution, [status(thm)], [p181, p47])).
% 29.58/4.29 cnf(ssp263, plain, (~spl1 | spl5 | spl182), inference(avatar_split_clause, [status(thm)], [p1739, sdef5, sdef182])).
% 29.58/4.29 cnf(p1741, plain, (distinct_lines(sk3,sk1) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk0,sk1)) | ~spl1), inference(resolution, [status(thm)], [p181, p67])).
% 29.58/4.29 cnf(ssp264, plain, (~spl1 | spl6 | spl182), inference(avatar_split_clause, [status(thm)], [p1741, sdef6, sdef182])).
% 29.58/4.29 cnf(p68, plain, ~apart_point_and_line(X0,sk3) | distinct_points(X0,intersection_point(sk2,sk3)), inference(resolution, [status(thm)], [c9, c15])).
% 29.58/4.29 cnf(p1743, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk2,sk3)) | ~spl1), inference(resolution, [status(thm)], [p181, p68])).
% 29.58/4.29 fof(sdef184, definition, (spl184 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk2,sk3)))), introduced(definition, [new_symbols(naming, [spl184])], [avatar_definition])).
% 29.58/4.29 cnf(ssp265, plain, (~spl1 | spl183 | spl184), inference(avatar_split_clause, [status(thm)], [p1743, sdef183, sdef184])).
% 29.58/4.29 cnf(p1748, plain, (distinct_lines(sk3,sk1) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk1,sk0)) | ~spl1), inference(resolution, [status(thm)], [p181, p250])).
% 29.58/4.29 fof(sdef185, definition, (spl185 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl185])], [avatar_definition])).
% 29.58/4.29 cnf(ssp266, plain, (~spl1 | spl6 | spl185), inference(avatar_split_clause, [status(thm)], [p1748, sdef6, sdef185])).
% 29.58/4.29 cnf(p1750, plain, (distinct_lines(sk3,sk0) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk1,sk0)) | ~spl1), inference(resolution, [status(thm)], [p181, p251])).
% 29.58/4.29 cnf(ssp267, plain, (~spl1 | spl5 | spl185), inference(avatar_split_clause, [status(thm)], [p1750, sdef5, sdef185])).
% 29.58/4.29 cnf(p1751, plain, (distinct_lines(sk3,sk1) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk1,X1)) | convergent_lines(sk0,X1) | ~spl1), inference(resolution, [status(thm)], [p181, p49])).
% 29.58/4.29 fof(sdef186, definition, (spl186 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk1,X1)) | convergent_lines(sk0,X1))), introduced(definition, [new_symbols(naming, [spl186])], [avatar_definition])).
% 29.58/4.29 cnf(ssp268, plain, (~spl1 | spl6 | spl186), inference(avatar_split_clause, [status(thm)], [p1751, sdef6, sdef186])).
% 29.58/4.29 cnf(p50, plain, ~apart_point_and_line(X0,sk3) | distinct_points(X0,intersection_point(sk3,X1)) | convergent_lines(sk2,X1), inference(resolution, [status(thm)], [c8, p26])).
% 29.58/4.29 cnf(p1753, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk3,X1)) | convergent_lines(sk2,X1) | ~spl1), inference(resolution, [status(thm)], [p181, p50])).
% 29.58/4.29 fof(sdef187, definition, (spl187 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk3,X1)) | convergent_lines(sk2,X1))), introduced(definition, [new_symbols(naming, [spl187])], [avatar_definition])).
% 29.58/4.29 cnf(ssp269, plain, (~spl1 | spl183 | spl187), inference(avatar_split_clause, [status(thm)], [p1753, sdef183, sdef187])).
% 29.58/4.29 cnf(p1755, plain, (distinct_lines(sk3,sk0) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk0,X1)) | distinct_lines(sk1,X1) | ~spl1), inference(resolution, [status(thm)], [p181, p51])).
% 29.58/4.29 fof(sdef188, definition, (spl188 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk0,X1)) | distinct_lines(sk1,X1))), introduced(definition, [new_symbols(naming, [spl188])], [avatar_definition])).
% 29.58/4.29 cnf(ssp270, plain, (~spl1 | spl5 | spl188), inference(avatar_split_clause, [status(thm)], [p1755, sdef5, sdef188])).
% 29.58/4.29 cnf(p94, plain, convergent_lines(sk2,X0) | convergent_lines(X0,sk3), inference(resolution, [status(thm)], [p32, c2])).
% 29.58/4.29 cnf(p109, plain, convergent_lines(X0,sk3) | convergent_lines(sk2,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p94, c5])).
% 29.58/4.29 cnf(p304, plain, convergent_lines(X0,sk3) | convergent_lines(X0,sk2), inference(resolution, [status(thm)], [p109, c2])).
% 29.58/4.29 cnf(p315, plain, convergent_lines(sk3,sk2), inference(resolution, [status(thm)], [p304, c2])).
% 29.58/4.29 cnf(p320, plain, ~apart_point_and_line(X0,sk3) | distinct_points(X0,intersection_point(sk3,sk2)), inference(resolution, [status(thm)], [p315, c8])).
% 29.58/4.29 cnf(p1757, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk3,sk2)) | ~spl1), inference(resolution, [status(thm)], [p181, p320])).
% 29.58/4.29 fof(sdef189, definition, (spl189 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk3,sk2)))), introduced(definition, [new_symbols(naming, [spl189])], [avatar_definition])).
% 29.58/4.29 cnf(ssp271, plain, (~spl1 | spl183 | spl189), inference(avatar_split_clause, [status(thm)], [p1757, sdef183, sdef189])).
% 29.58/4.29 cnf(p1759, plain, (distinct_lines(sk3,sk0) | distinct_points(intersection_point(sk0,sk1),X0) | convergent_lines(sk1,X1) | convergent_lines(X2,X1) | distinct_points(X0,intersection_point(sk0,X2)) | ~spl1), inference(resolution, [status(thm)], [p181, p64])).
% 29.58/4.29 fof(sdef190, definition, (spl190 <=> (distinct_points(intersection_point(sk0,sk1),X0) | convergent_lines(sk1,X1) | convergent_lines(X2,X1) | distinct_points(X0,intersection_point(sk0,X2)))), introduced(definition, [new_symbols(naming, [spl190])], [avatar_definition])).
% 29.58/4.29 cnf(ssp272, plain, (~spl1 | spl5 | spl190), inference(avatar_split_clause, [status(thm)], [p1759, sdef5, sdef190])).
% 29.58/4.29 cnf(p1761, plain, (distinct_lines(sk3,sk1) | distinct_points(intersection_point(sk0,sk1),X0) | convergent_lines(sk0,X1) | convergent_lines(X1,X2) | distinct_points(X0,intersection_point(sk1,X2)) | ~spl1), inference(resolution, [status(thm)], [p181, p65])).
% 29.58/4.29 fof(sdef191, definition, (spl191 <=> (distinct_points(intersection_point(sk0,sk1),X0) | convergent_lines(sk0,X1) | convergent_lines(X1,X2) | distinct_points(X0,intersection_point(sk1,X2)))), introduced(definition, [new_symbols(naming, [spl191])], [avatar_definition])).
% 29.58/4.29 cnf(ssp273, plain, (~spl1 | spl6 | spl191), inference(avatar_split_clause, [status(thm)], [p1761, sdef6, sdef191])).
% 29.58/4.29 cnf(p1770, plain, (distinct_lines(sk3,sk0) | distinct_points(intersection_point(sk0,sk1),X0) | convergent_lines(X1,sk1) | distinct_points(X0,intersection_point(sk0,X1)) | ~spl1), inference(resolution, [status(thm)], [p181, p79])).
% 29.58/4.29 fof(sdef192, definition, (spl192 <=> (distinct_points(intersection_point(sk0,sk1),X0) | convergent_lines(X1,sk1) | distinct_points(X0,intersection_point(sk0,X1)))), introduced(definition, [new_symbols(naming, [spl192])], [avatar_definition])).
% 29.58/4.29 cnf(ssp274, plain, (~spl1 | spl5 | spl192), inference(avatar_split_clause, [status(thm)], [p1770, sdef5, sdef192])).
% 29.58/4.29 cnf(p1774, plain, (distinct_lines(sk3,sk1) | distinct_points(intersection_point(sk0,sk1),X0) | convergent_lines(sk0,X1) | distinct_points(X0,intersection_point(X1,sk1)) | ~spl1), inference(resolution, [status(thm)], [p181, p82])).
% 29.58/4.29 fof(sdef193, definition, (spl193 <=> (distinct_points(intersection_point(sk0,sk1),X0) | convergent_lines(sk0,X1) | distinct_points(X0,intersection_point(X1,sk1)))), introduced(definition, [new_symbols(naming, [spl193])], [avatar_definition])).
% 29.58/4.29 cnf(ssp275, plain, (~spl1 | spl6 | spl193), inference(avatar_split_clause, [status(thm)], [p1774, sdef6, sdef193])).
% 29.58/4.29 cnf(p1777, plain, (distinct_lines(sk3,sk1) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_lines(sk0,X1) | distinct_points(X0,intersection_point(X1,sk1)) | ~spl1), inference(resolution, [status(thm)], [p181, p84])).
% 29.58/4.29 fof(sdef194, definition, (spl194 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_lines(sk0,X1) | distinct_points(X0,intersection_point(X1,sk1)))), introduced(definition, [new_symbols(naming, [spl194])], [avatar_definition])).
% 29.58/4.29 cnf(ssp276, plain, (~spl1 | spl6 | spl194), inference(avatar_split_clause, [status(thm)], [p1777, sdef6, sdef194])).
% 29.58/4.29 cnf(p1779, plain, (distinct_lines(sk3,sk0) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_lines(X1,sk1) | distinct_points(X0,intersection_point(sk0,X1)) | ~spl1), inference(resolution, [status(thm)], [p181, p86])).
% 29.58/4.29 fof(sdef195, definition, (spl195 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_lines(X1,sk1) | distinct_points(X0,intersection_point(sk0,X1)))), introduced(definition, [new_symbols(naming, [spl195])], [avatar_definition])).
% 29.58/4.29 cnf(ssp277, plain, (~spl1 | spl5 | spl195), inference(avatar_split_clause, [status(thm)], [p1779, sdef5, sdef195])).
% 29.58/4.29 cnf(p102, plain, convergent_lines(sk2,X0) | convergent_lines(X0,X1) | ~apart_point_and_line(X2,sk3) | distinct_points(X2,intersection_point(sk3,X1)), inference(resolution, [status(thm)], [p32, c8])).
% 29.58/4.29 cnf(p1782, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | convergent_lines(sk2,X1) | convergent_lines(X1,X2) | distinct_points(X0,intersection_point(sk3,X2)) | ~spl1), inference(resolution, [status(thm)], [p181, p102])).
% 29.58/4.29 fof(sdef196, definition, (spl196 <=> (distinct_points(intersection_point(sk0,sk1),X0) | convergent_lines(sk2,X1) | convergent_lines(X1,X2) | distinct_points(X0,intersection_point(sk3,X2)))), introduced(definition, [new_symbols(naming, [spl196])], [avatar_definition])).
% 29.58/4.29 cnf(ssp278, plain, (~spl1 | spl183 | spl196), inference(avatar_split_clause, [status(thm)], [p1782, sdef183, sdef196])).
% 29.58/4.29 cnf(p113, plain, convergent_lines(sk2,X0) | ~apart_point_and_line(X1,sk3) | distinct_points(X1,intersection_point(X0,sk3)), inference(resolution, [status(thm)], [p94, c9])).
% 29.58/4.29 cnf(p1787, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | convergent_lines(sk2,X1) | distinct_points(X0,intersection_point(X1,sk3)) | ~spl1), inference(resolution, [status(thm)], [p181, p113])).
% 29.58/4.29 fof(sdef197, definition, (spl197 <=> (distinct_points(intersection_point(sk0,sk1),X0) | convergent_lines(sk2,X1) | distinct_points(X0,intersection_point(X1,sk3)))), introduced(definition, [new_symbols(naming, [spl197])], [avatar_definition])).
% 29.58/4.29 cnf(ssp279, plain, (~spl1 | spl183 | spl197), inference(avatar_split_clause, [status(thm)], [p1787, sdef183, sdef197])).
% 29.58/4.29 cnf(p107, plain, convergent_lines(X0,sk3) | distinct_lines(sk2,X0), inference(resolution, [status(thm)], [p94, c13])).
% 29.58/4.29 cnf(p117, plain, distinct_lines(sk2,X0) | ~apart_point_and_line(X1,sk3) | distinct_points(X1,intersection_point(X0,sk3)), inference(resolution, [status(thm)], [p107, c9])).
% 29.58/4.29 cnf(p1789, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_lines(sk2,X1) | distinct_points(X0,intersection_point(X1,sk3)) | ~spl1), inference(resolution, [status(thm)], [p181, p117])).
% 29.58/4.29 fof(sdef198, definition, (spl198 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_lines(sk2,X1) | distinct_points(X0,intersection_point(X1,sk3)))), introduced(definition, [new_symbols(naming, [spl198])], [avatar_definition])).
% 29.58/4.29 cnf(ssp280, plain, (~spl1 | spl183 | spl198), inference(avatar_split_clause, [status(thm)], [p1789, sdef183, sdef198])).
% 29.58/4.29 cnf(p505, plain, (~apart_point_and_line(X0,sk3) | distinct_points(X0,intersection_point(sk0,sk3)) | ~spl16), inference(resolution, [status(thm)], [p494, c9])).
% 29.58/4.29 cnf(p1791, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk0,sk3)) | ~spl1 | ~spl16), inference(resolution, [status(thm)], [p181, p505])).
% 29.58/4.29 fof(sdef199, definition, (spl199 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk0,sk3)))), introduced(definition, [new_symbols(naming, [spl199])], [avatar_definition])).
% 29.58/4.29 cnf(ssp281, plain, (~spl1 | ~spl16 | spl183 | spl199), inference(avatar_split_clause, [status(thm)], [p1791, sdef183, sdef199])).
% 29.58/4.29 cnf(p590, plain, (~apart_point_and_line(X0,sk3) | distinct_points(X0,intersection_point(sk1,sk3)) | ~spl25), inference(resolution, [status(thm)], [p577, c9])).
% 29.58/4.29 cnf(p1794, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk1,sk3)) | ~spl1 | ~spl25), inference(resolution, [status(thm)], [p181, p590])).
% 29.58/4.29 fof(sdef200, definition, (spl200 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk1,sk3)))), introduced(definition, [new_symbols(naming, [spl200])], [avatar_definition])).
% 29.58/4.29 cnf(ssp282, plain, (~spl1 | ~spl25 | spl183 | spl200), inference(avatar_split_clause, [status(thm)], [p1794, sdef183, sdef200])).
% 29.58/4.29 cnf(p611, plain, (~apart_point_and_line(X0,sk3) | distinct_points(X0,intersection_point(sk1,sk3)) | ~spl31), inference(resolution, [status(thm)], [p601, c9])).
% 29.58/4.29 cnf(p1796, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk1,sk3)) | ~spl1 | ~spl31), inference(resolution, [status(thm)], [p181, p611])).
% 29.58/4.29 cnf(ssp283, plain, (~spl1 | ~spl31 | spl183 | spl200), inference(avatar_split_clause, [status(thm)], [p1796, sdef183, sdef200])).
% 29.58/4.29 cnf(p1797, plain, (distinct_lines(sk3,line_connecting(intersection_point(sk0,sk1),X0)) | distinct_points(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk3) | distinct_points(X1,intersection_point(sk0,sk1)) | ~spl1), inference(resolution, [status(thm)], [p181, p126])).
% 29.58/4.29 cnf(ssp284, plain, (~spl1 | spl111 | spl182), inference(avatar_split_clause, [status(thm)], [p1797, sdef111, sdef182])).
% 29.58/4.29 cnf(p654, plain, (~apart_point_and_line(X0,sk3) | distinct_points(X0,intersection_point(sk0,sk3)) | ~spl27), inference(resolution, [status(thm)], [p642, c9])).
% 29.58/4.29 cnf(p1799, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk0,sk3)) | ~spl1 | ~spl27), inference(resolution, [status(thm)], [p181, p654])).
% 29.58/4.29 cnf(ssp285, plain, (~spl1 | ~spl27 | spl183 | spl199), inference(avatar_split_clause, [status(thm)], [p1799, sdef183, sdef199])).
% 29.58/4.29 cnf(p668, plain, (~apart_point_and_line(X0,sk3) | distinct_points(X0,intersection_point(sk3,sk1)) | ~spl36), inference(resolution, [status(thm)], [p658, c8])).
% 29.58/4.29 cnf(p1800, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk3,sk1)) | ~spl1 | ~spl36), inference(resolution, [status(thm)], [p181, p668])).
% 29.58/4.29 fof(sdef201, definition, (spl201 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk3,sk1)))), introduced(definition, [new_symbols(naming, [spl201])], [avatar_definition])).
% 29.58/4.29 cnf(ssp286, plain, (~spl1 | ~spl36 | spl183 | spl201), inference(avatar_split_clause, [status(thm)], [p1800, sdef183, sdef201])).
% 29.58/4.29 cnf(p667, plain, (convergent_lines(sk3,X0) | convergent_lines(sk1,X0) | ~spl36), inference(resolution, [status(thm)], [p658, c5])).
% 29.58/4.29 cnf(p941, plain, (convergent_lines(sk1,sk3) | ~spl36), inference(resolution, [status(thm)], [p667, c2])).
% 29.58/4.29 cnf(p948, plain, (~apart_point_and_line(X0,sk3) | distinct_points(X0,intersection_point(sk1,sk3)) | ~spl36), inference(resolution, [status(thm)], [p941, c9])).
% 29.58/4.29 cnf(p1802, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk1,sk3)) | ~spl1 | ~spl36), inference(resolution, [status(thm)], [p181, p948])).
% 29.58/4.29 cnf(ssp287, plain, (~spl1 | ~spl36 | spl183 | spl200), inference(avatar_split_clause, [status(thm)], [p1802, sdef183, sdef200])).
% 29.58/4.29 cnf(p1803, plain, (distinct_lines(sk3,sk0) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_lines(sk1,X1) | convergent_lines(X1,X2) | distinct_points(X0,intersection_point(sk0,X2)) | ~spl1), inference(resolution, [status(thm)], [p181, p146])).
% 29.58/4.29 fof(sdef202, definition, (spl202 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_lines(sk1,X1) | convergent_lines(X1,X2) | distinct_points(X0,intersection_point(sk0,X2)))), introduced(definition, [new_symbols(naming, [spl202])], [avatar_definition])).
% 29.58/4.29 cnf(ssp288, plain, (~spl1 | spl5 | spl202), inference(avatar_split_clause, [status(thm)], [p1803, sdef5, sdef202])).
% 29.58/4.29 cnf(p998, plain, (convergent_lines(sk3,X0) | convergent_lines(sk0,X0) | ~spl99), inference(avatar_component_clause, [status(thm)], [sdef99])).
% 29.58/4.29 cnf(p1049, plain, (convergent_lines(sk0,sk3) | ~spl99), inference(resolution, [status(thm)], [p998, c2])).
% 29.58/4.29 cnf(p1056, plain, (~apart_point_and_line(X0,sk3) | distinct_points(X0,intersection_point(sk0,sk3)) | ~spl99), inference(resolution, [status(thm)], [p1049, c9])).
% 29.58/4.29 cnf(p1805, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,intersection_point(sk0,sk3)) | ~spl1 | ~spl99), inference(resolution, [status(thm)], [p181, p1056])).
% 29.58/4.29 cnf(ssp289, plain, (~spl1 | ~spl99 | spl183 | spl199), inference(avatar_split_clause, [status(thm)], [p1805, sdef183, sdef199])).
% 29.58/4.29 cnf(p1812, plain, (distinct_lines(sk3,sk0) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_lines(sk1,X1) | distinct_points(X0,intersection_point(X1,sk0)) | ~spl1), inference(resolution, [status(thm)], [p181, p165])).
% 29.58/4.29 fof(sdef203, definition, (spl203 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_lines(sk1,X1) | distinct_points(X0,intersection_point(X1,sk0)))), introduced(definition, [new_symbols(naming, [spl203])], [avatar_definition])).
% 29.58/4.29 cnf(ssp290, plain, (~spl1 | spl5 | spl203), inference(avatar_split_clause, [status(thm)], [p1812, sdef5, sdef203])).
% 29.58/4.29 cnf(p645, plain, (convergent_lines(X0,sk3) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl27), inference(resolution, [status(thm)], [p585, c5])).
% 29.58/4.29 cnf(p1718, plain, (convergent_lines(X0,sk3) | convergent_lines(X0,sk0) | ~spl27), inference(resolution, [status(thm)], [p645, c2])).
% 29.58/4.29 cnf(p1730, plain, (convergent_lines(sk3,sk0) | ~spl27), inference(resolution, [status(thm)], [p1718, c2])).
% 29.58/4.29 cnf(p1735, plain, (~apart_point_and_line(X0,sk3) | distinct_points(X0,intersection_point(sk3,sk0)) | ~spl27), inference(resolution, [status(thm)], [p1730, c8])).
% 29.58/4.29 cnf(p1822, plain, (distinct_points(X0,intersection_point(sk3,sk0)) | distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | ~spl1 | ~spl27), inference(resolution, [status(thm)], [p1735, p181])).
% 29.58/4.29 fof(sdef204, definition, (spl204 <=> (distinct_points(X0,intersection_point(sk3,sk0)) | distinct_points(intersection_point(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl204])], [avatar_definition])).
% 29.58/4.29 cnf(ssp291, plain, (~spl1 | ~spl27 | spl183 | spl204), inference(avatar_split_clause, [status(thm)], [p1822, sdef183, sdef204])).
% 29.58/4.29 cnf(p182, plain, (distinct_lines(sk3,X0) | distinct_lines(X0,X1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | ~spl1), inference(resolution, [status(thm)], [p130, c12])).
% 29.58/4.29 cnf(p1826, plain, (distinct_lines(sk3,X0) | distinct_lines(X0,sk0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | ~spl1), inference(resolution, [status(thm)], [p182, p47])).
% 29.58/4.29 fof(sdef205, definition, (spl205 <=> (distinct_lines(sk3,X0) | distinct_lines(X0,sk0))), introduced(definition, [new_symbols(naming, [spl205])], [avatar_definition])).
% 29.58/4.29 cnf(ssp292, plain, (~spl1 | spl3 | spl205), inference(avatar_split_clause, [status(thm)], [p1826, sdef3, sdef205])).
% 29.58/4.29 cnf(p1828, plain, (distinct_lines(sk3,X0) | distinct_lines(X0,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | ~spl1), inference(resolution, [status(thm)], [p182, p67])).
% 29.58/4.29 fof(sdef206, definition, (spl206 <=> (distinct_lines(sk3,X0) | distinct_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl206])], [avatar_definition])).
% 29.58/4.29 cnf(ssp293, plain, (~spl1 | spl3 | spl206), inference(avatar_split_clause, [status(thm)], [p1828, sdef3, sdef206])).
% 29.58/4.29 cnf(p1831, plain, (distinct_lines(sk3,X0) | distinct_lines(X0,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk0)) | ~spl1), inference(resolution, [status(thm)], [p182, p250])).
% 29.58/4.29 cnf(ssp294, plain, (~spl1 | spl7 | spl206), inference(avatar_split_clause, [status(thm)], [p1831, sdef7, sdef206])).
% 29.58/4.29 cnf(p1832, plain, (distinct_lines(sk3,X0) | distinct_lines(X0,sk0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk0)) | ~spl1), inference(resolution, [status(thm)], [p182, p251])).
% 29.58/4.29 cnf(ssp295, plain, (~spl1 | spl7 | spl205), inference(avatar_split_clause, [status(thm)], [p1832, sdef7, sdef205])).
% 29.58/4.29 cnf(p1833, plain, (distinct_lines(sk3,X0) | distinct_lines(X0,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,X1)) | convergent_lines(sk0,X1) | ~spl1), inference(resolution, [status(thm)], [p182, p49])).
% 29.58/4.29 cnf(ssp296, plain, (~spl1 | spl8 | spl206), inference(avatar_split_clause, [status(thm)], [p1833, sdef8, sdef206])).
% 29.58/4.29 cnf(p1834, plain, (distinct_lines(sk3,X0) | distinct_lines(X0,sk0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X1)) | distinct_lines(sk1,X1) | ~spl1), inference(resolution, [status(thm)], [p182, p51])).
% 29.58/4.29 cnf(ssp297, plain, (~spl1 | spl9 | spl205), inference(avatar_split_clause, [status(thm)], [p1834, sdef9, sdef205])).
% 29.58/4.29 cnf(p1835, plain, (distinct_lines(sk3,X0) | distinct_lines(X0,sk0) | convergent_lines(sk1,X1) | convergent_lines(X2,X1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X2)) | ~spl1), inference(resolution, [status(thm)], [p182, p64])).
% 29.58/4.29 cnf(ssp298, plain, (~spl1 | spl12 | spl205), inference(avatar_split_clause, [status(thm)], [p1835, sdef12, sdef205])).
% 29.58/4.29 cnf(p1836, plain, (distinct_lines(sk3,X0) | distinct_lines(X0,sk1) | convergent_lines(sk0,X1) | convergent_lines(X1,X2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,X2)) | ~spl1), inference(resolution, [status(thm)], [p182, p65])).
% 29.58/4.29 cnf(ssp299, plain, (~spl1 | spl13 | spl206), inference(avatar_split_clause, [status(thm)], [p1836, sdef13, sdef206])).
% 29.58/4.29 cnf(p1844, plain, (distinct_lines(sk3,X0) | distinct_lines(X0,sk0) | convergent_lines(X1,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X1)) | ~spl1), inference(resolution, [status(thm)], [p182, p79])).
% 29.58/4.29 cnf(ssp300, plain, (~spl1 | spl32 | spl205), inference(avatar_split_clause, [status(thm)], [p1844, sdef32, sdef205])).
% 29.58/4.29 cnf(p1847, plain, (distinct_lines(sk3,X0) | distinct_lines(X0,sk1) | convergent_lines(sk0,X1) | distinct_points(intersection_point(sk0,sk1),intersection_point(X1,sk1)) | ~spl1), inference(resolution, [status(thm)], [p182, p82])).
% 29.58/4.29 cnf(ssp301, plain, (~spl1 | spl37 | spl206), inference(avatar_split_clause, [status(thm)], [p1847, sdef37, sdef206])).
% 29.58/4.29 cnf(p1849, plain, (distinct_lines(sk3,X0) | distinct_lines(X0,sk1) | distinct_lines(sk0,X1) | distinct_points(intersection_point(sk0,sk1),intersection_point(X1,sk1)) | ~spl1), inference(resolution, [status(thm)], [p182, p84])).
% 29.58/4.29 cnf(ssp302, plain, (~spl1 | spl40 | spl206), inference(avatar_split_clause, [status(thm)], [p1849, sdef40, sdef206])).
% 29.58/4.29 cnf(p1850, plain, (distinct_lines(sk3,X0) | distinct_lines(X0,sk0) | distinct_lines(X1,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X1)) | ~spl1), inference(resolution, [status(thm)], [p182, p86])).
% 29.58/4.29 cnf(ssp303, plain, (~spl1 | spl41 | spl205), inference(avatar_split_clause, [status(thm)], [p1850, sdef41, sdef205])).
% 29.58/4.29 cnf(p1856, plain, (distinct_lines(sk3,X0) | distinct_lines(X0,line_connecting(intersection_point(sk0,sk1),X1)) | apart_point_and_line(X1,sk3) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | ~spl1), inference(resolution, [status(thm)], [p182, p126])).
% 29.58/4.29 fof(sdef207, definition, (spl207 <=> (distinct_lines(sk3,X0) | distinct_lines(X0,line_connecting(intersection_point(sk0,sk1),X1)) | apart_point_and_line(X1,sk3))), introduced(definition, [new_symbols(naming, [spl207])], [avatar_definition])).
% 29.58/4.29 cnf(ssp304, plain, (~spl1 | spl3 | spl207), inference(avatar_split_clause, [status(thm)], [p1856, sdef3, sdef207])).
% 29.58/4.29 cnf(p1858, plain, (distinct_lines(sk3,X0) | distinct_lines(X0,sk0) | distinct_lines(sk1,X1) | convergent_lines(X1,X2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X2)) | ~spl1), inference(resolution, [status(thm)], [p182, p146])).
% 29.58/4.29 cnf(ssp305, plain, (~spl1 | spl157 | spl205), inference(avatar_split_clause, [status(thm)], [p1858, sdef157, sdef205])).
% 29.58/4.29 cnf(p1865, plain, (distinct_lines(sk3,X0) | distinct_lines(X0,sk0) | distinct_lines(sk1,X1) | distinct_points(intersection_point(sk0,sk1),intersection_point(X1,sk0)) | ~spl1), inference(resolution, [status(thm)], [p182, p165])).
% 29.58/4.29 cnf(ssp306, plain, (~spl1 | spl170 | spl205), inference(avatar_split_clause, [status(thm)], [p1865, sdef170, sdef205])).
% 29.58/4.29 cnf(p188, plain, distinct_lines(sk0,X0) | distinct_lines(X0,X1) | distinct_lines(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p39, c4])).
% 29.58/4.29 cnf(p1881, plain, (distinct_lines(X0,X1) | distinct_lines(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X0) | ~spl1), inference(resolution, [status(thm)], [p188, p128])).
% 29.58/4.29 fof(sdef208, definition, (spl208 <=> (distinct_lines(X0,X1) | distinct_lines(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X0))), introduced(definition, [new_symbols(naming, [spl208])], [avatar_definition])).
% 29.58/4.29 cnf(ssp307, plain, (~spl1 | spl42 | spl208), inference(avatar_split_clause, [status(thm)], [p1881, sdef42, sdef208])).
% 29.58/4.29 cnf(p1883, plain, (distinct_lines(sk0,X0) | distinct_lines(X0,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X3) | apart_point_and_line(X4,sk1) | apart_point_and_line(X4,X3) | ~spl1), inference(resolution, [status(thm)], [p188, p128])).
% 29.58/4.29 fof(sdef209, definition, (spl209 <=> (distinct_lines(sk0,X0) | distinct_lines(X0,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X3) | apart_point_and_line(X4,sk1) | apart_point_and_line(X4,X3))), introduced(definition, [new_symbols(naming, [spl209])], [avatar_definition])).
% 29.58/4.29 cnf(ssp308, plain, (~spl1 | spl43 | spl209), inference(avatar_split_clause, [status(thm)], [p1883, sdef43, sdef209])).
% 29.58/4.29 cnf(p189, plain, distinct_lines(sk0,X0) | distinct_lines(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X1,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p39, c4])).
% 29.58/4.29 cnf(p1892, plain, (distinct_lines(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X1,X3) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X0) | ~spl1), inference(resolution, [status(thm)], [p189, p128])).
% 29.58/4.29 fof(sdef210, definition, (spl210 <=> (distinct_lines(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X1,X3) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X0))), introduced(definition, [new_symbols(naming, [spl210])], [avatar_definition])).
% 29.58/4.29 cnf(ssp309, plain, (~spl1 | spl42 | spl210), inference(avatar_split_clause, [status(thm)], [p1892, sdef42, sdef210])).
% 29.58/4.29 cnf(p1894, plain, (distinct_lines(sk0,X0) | distinct_lines(X0,X1) | distinct_lines(X1,X2) | distinct_lines(X3,X2) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X3) | apart_point_and_line(X4,sk1) | apart_point_and_line(X4,X3) | ~spl1), inference(resolution, [status(thm)], [p189, p128])).
% 29.58/4.29 fof(sdef211, definition, (spl211 <=> (distinct_lines(sk0,X0) | distinct_lines(X0,X1) | distinct_lines(X1,X2) | distinct_lines(X3,X2) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X3) | apart_point_and_line(X4,sk1) | apart_point_and_line(X4,X3))), introduced(definition, [new_symbols(naming, [spl211])], [avatar_definition])).
% 29.58/4.29 cnf(ssp310, plain, (~spl1 | spl43 | spl211), inference(avatar_split_clause, [status(thm)], [p1894, sdef43, sdef211])).
% 29.58/4.29 cnf(p193, plain, distinct_lines(X0,sk1) | distinct_lines(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p41, c4])).
% 29.58/4.29 cnf(p1916, plain, (distinct_lines(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X1,X2) | apart_point_and_line(X3,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X3,X0) | apart_point_and_line(X3,sk1) | ~spl1), inference(resolution, [status(thm)], [p193, p128])).
% 29.58/4.29 fof(sdef212, definition, (spl212 <=> (distinct_lines(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X1,X2) | apart_point_and_line(X3,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X3,X0) | apart_point_and_line(X3,sk1))), introduced(definition, [new_symbols(naming, [spl212])], [avatar_definition])).
% 29.58/4.29 cnf(ssp311, plain, (~spl1 | spl43 | spl212), inference(avatar_split_clause, [status(thm)], [p1916, sdef43, sdef212])).
% 29.58/4.29 cnf(p1919, plain, (distinct_lines(X0,sk1) | distinct_lines(X0,X1) | distinct_lines(X1,X2) | apart_point_and_line(X3,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(X3,sk0) | apart_point_and_line(X3,X2) | ~spl1), inference(resolution, [status(thm)], [p193, p128])).
% 29.58/4.29 fof(sdef213, definition, (spl213 <=> (distinct_lines(X0,sk1) | distinct_lines(X0,X1) | distinct_lines(X1,X2) | apart_point_and_line(X3,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(X3,sk0) | apart_point_and_line(X3,X2))), introduced(definition, [new_symbols(naming, [spl213])], [avatar_definition])).
% 29.58/4.29 cnf(ssp312, plain, (~spl1 | spl42 | spl213), inference(avatar_split_clause, [status(thm)], [p1919, sdef42, sdef213])).
% 29.58/4.29 cnf(p675, plain, (distinct_lines(sk1,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl25), inference(resolution, [status(thm)], [p591, c4])).
% 29.58/4.29 cnf(p1926, plain, (distinct_lines(sk3,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1) | ~spl1 | ~spl25), inference(resolution, [status(thm)], [p675, p128])).
% 29.58/4.29 cnf(ssp313, plain, (~spl1 | ~spl25 | spl43 | spl173), inference(avatar_split_clause, [status(thm)], [p1926, sdef43, sdef173])).
% 29.58/4.29 cnf(p194, plain, distinct_lines(X0,sk1) | distinct_lines(sk0,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p41, c4])).
% 29.58/4.29 cnf(p1948, plain, (distinct_lines(X0,sk1) | distinct_lines(X0,X1) | distinct_lines(X2,X1) | apart_point_and_line(X3,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(X3,sk0) | apart_point_and_line(X3,X2) | ~spl1), inference(resolution, [status(thm)], [p194, p128])).
% 29.58/4.29 fof(sdef214, definition, (spl214 <=> (distinct_lines(X0,sk1) | distinct_lines(X0,X1) | distinct_lines(X2,X1) | apart_point_and_line(X3,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(X3,sk0) | apart_point_and_line(X3,X2))), introduced(definition, [new_symbols(naming, [spl214])], [avatar_definition])).
% 29.58/4.29 cnf(ssp314, plain, (~spl1 | spl42 | spl214), inference(avatar_split_clause, [status(thm)], [p1948, sdef42, sdef214])).
% 29.58/4.29 cnf(p609, plain, (convergent_lines(sk1,X0) | convergent_lines(sk3,X0) | ~spl31), inference(resolution, [status(thm)], [p601, c5])).
% 29.58/4.29 cnf(p681, plain, (convergent_lines(sk1,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1) | ~spl31), inference(resolution, [status(thm)], [p609, c5])).
% 29.58/4.29 cnf(p1927, plain, (convergent_lines(sk1,X0) | convergent_lines(X0,sk3) | ~spl31), inference(resolution, [status(thm)], [p681, c2])).
% 29.58/4.29 cnf(p1940, plain, (convergent_lines(X0,sk3) | distinct_lines(sk1,X0) | ~spl31), inference(resolution, [status(thm)], [p1927, c13])).
% 29.58/4.29 cnf(p1951, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk3) | ~spl31), inference(resolution, [status(thm)], [p1940, c13])).
% 29.58/4.29 cnf(p1958, plain, (distinct_lines(X0,sk3) | apart_point_and_line(X1,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | ~spl1 | ~spl31), inference(resolution, [status(thm)], [p1951, p128])).
% 29.58/4.29 cnf(ssp315, plain, (~spl1 | ~spl31 | spl43 | spl162), inference(avatar_split_clause, [status(thm)], [p1958, sdef43, sdef162])).
% 29.58/4.29 cnf(p693, plain, (distinct_lines(sk1,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl31), inference(resolution, [status(thm)], [p613, c4])).
% 29.58/4.29 cnf(p1962, plain, (distinct_lines(sk3,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1) | ~spl1 | ~spl31), inference(resolution, [status(thm)], [p693, p128])).
% 29.58/4.29 cnf(ssp316, plain, (~spl1 | ~spl31 | spl43 | spl173), inference(avatar_split_clause, [status(thm)], [p1962, sdef43, sdef173])).
% 29.58/4.29 cnf(p195, plain, distinct_lines(sk0,X0) | distinct_lines(sk1,X1) | distinct_lines(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p40, c4])).
% 29.58/4.29 cnf(p1964, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,X1) | distinct_lines(X2,X3) | distinct_lines(X1,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X2) | ~spl1), inference(resolution, [status(thm)], [p195, p128])).
% 29.58/4.29 fof(sdef215, definition, (spl215 <=> (distinct_lines(sk1,X0) | distinct_lines(X0,X1) | distinct_lines(X2,X3) | distinct_lines(X1,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X2))), introduced(definition, [new_symbols(naming, [spl215])], [avatar_definition])).
% 29.58/4.29 cnf(ssp317, plain, (~spl1 | spl42 | spl215), inference(avatar_split_clause, [status(thm)], [p1964, sdef42, sdef215])).
% 29.58/4.29 cnf(p1966, plain, (distinct_lines(sk0,X0) | distinct_lines(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X4,sk1) | apart_point_and_line(X4,X1) | ~spl1), inference(resolution, [status(thm)], [p195, p128])).
% 29.58/4.29 fof(sdef216, definition, (spl216 <=> (distinct_lines(sk0,X0) | distinct_lines(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X4,sk1) | apart_point_and_line(X4,X1))), introduced(definition, [new_symbols(naming, [spl216])], [avatar_definition])).
% 29.58/4.29 cnf(ssp318, plain, (~spl1 | spl43 | spl216), inference(avatar_split_clause, [status(thm)], [p1966, sdef43, sdef216])).
% 29.58/4.29 cnf(p197, plain, distinct_lines(X0,sk3) | distinct_lines(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p46, c4])).
% 29.58/4.29 cnf(p1988, plain, (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | distinct_lines(X1,X2) | apart_point_and_line(X3,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(X3,sk2) | apart_point_and_line(X3,X2) | ~spl1), inference(resolution, [status(thm)], [p197, p128])).
% 29.58/4.29 fof(sdef217, definition, (spl217 <=> (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | distinct_lines(X1,X2) | apart_point_and_line(X3,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(X3,sk2) | apart_point_and_line(X3,X2))), introduced(definition, [new_symbols(naming, [spl217])], [avatar_definition])).
% 29.58/4.29 cnf(ssp319, plain, (~spl1 | spl0 | spl217), inference(avatar_split_clause, [status(thm)], [p1988, sdef0, sdef217])).
% 29.58/4.29 cnf(p198, plain, distinct_lines(X0,sk3) | distinct_lines(sk2,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p46, c4])).
% 29.58/4.29 cnf(p2009, plain, (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | distinct_lines(X2,X1) | apart_point_and_line(X3,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(X3,sk2) | apart_point_and_line(X3,X2) | ~spl1), inference(resolution, [status(thm)], [p198, p128])).
% 29.58/4.29 fof(sdef218, definition, (spl218 <=> (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | distinct_lines(X2,X1) | apart_point_and_line(X3,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(X3,sk2) | apart_point_and_line(X3,X2))), introduced(definition, [new_symbols(naming, [spl218])], [avatar_definition])).
% 29.58/4.29 cnf(ssp320, plain, (~spl1 | spl0 | spl218), inference(avatar_split_clause, [status(thm)], [p2009, sdef0, sdef218])).
% 29.58/4.29 cnf(p733, plain, (distinct_lines(sk0,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl27), inference(resolution, [status(thm)], [p661, c4])).
% 29.58/4.29 cnf(p2023, plain, (distinct_lines(sk3,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X1) | ~spl1 | ~spl27), inference(resolution, [status(thm)], [p733, p128])).
% 29.58/4.29 cnf(ssp321, plain, (~spl1 | ~spl27 | spl42 | spl172), inference(avatar_split_clause, [status(thm)], [p2023, sdef42, sdef172])).
% 29.58/4.29 cnf(p809, plain, (apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl73), inference(avatar_component_clause, [status(thm)], [sdef73])).
% 29.58/4.29 cnf(p2026, plain, (convergent_lines(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | convergent_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),X0)) | ~spl73), inference(resolution, [status(thm)], [p809, p66])).
% 29.58/4.29 fof(sdef219, definition, (spl219 <=> (convergent_lines(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))))), introduced(definition, [new_symbols(naming, [spl219])], [avatar_definition])).
% 29.58/4.29 fof(sdef220, definition, (spl220 <=> (convergent_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),X0)))), introduced(definition, [new_symbols(naming, [spl220])], [avatar_definition])).
% 29.58/4.29 cnf(ssp322, plain, (~spl73 | spl219 | spl220), inference(avatar_split_clause, [status(thm)], [p2026, sdef219, sdef220])).
% 29.58/4.29 cnf(p2029, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | convergent_lines(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl73), inference(resolution, [status(thm)], [p809, p69])).
% 29.58/4.29 fof(sdef221, definition, (spl221 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))))), introduced(definition, [new_symbols(naming, [spl221])], [avatar_definition])).
% 29.58/4.29 cnf(ssp323, plain, (~spl73 | spl219 | spl221), inference(avatar_split_clause, [status(thm)], [p2029, sdef219, sdef221])).
% 29.58/4.29 cnf(p2031, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | convergent_lines(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl73), inference(resolution, [status(thm)], [p809, p70])).
% 29.58/4.29 fof(sdef222, definition, (spl222 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))))), introduced(definition, [new_symbols(naming, [spl222])], [avatar_definition])).
% 29.58/4.29 fof(sdef223, definition, (spl223 <=> (convergent_lines(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))))), introduced(definition, [new_symbols(naming, [spl223])], [avatar_definition])).
% 29.58/4.29 cnf(ssp324, plain, (~spl73 | spl222 | spl223), inference(avatar_split_clause, [status(thm)], [p2031, sdef222, sdef223])).
% 29.58/4.29 cnf(p2034, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | distinct_lines(sk1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl73), inference(resolution, [status(thm)], [p809, p71])).
% 29.58/4.29 fof(sdef224, definition, (spl224 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))))), introduced(definition, [new_symbols(naming, [spl224])], [avatar_definition])).
% 29.58/4.29 fof(sdef225, definition, (spl225 <=> (distinct_lines(sk1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))))), introduced(definition, [new_symbols(naming, [spl225])], [avatar_definition])).
% 29.58/4.29 cnf(ssp325, plain, (~spl73 | spl224 | spl225), inference(avatar_split_clause, [status(thm)], [p2034, sdef224, sdef225])).
% 29.58/4.29 cnf(p2037, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | distinct_lines(sk3,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl73), inference(resolution, [status(thm)], [p809, p72])).
% 29.58/4.29 fof(sdef226, definition, (spl226 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))))), introduced(definition, [new_symbols(naming, [spl226])], [avatar_definition])).
% 29.58/4.29 cnf(ssp326, plain, (~spl73 | spl11 | spl226), inference(avatar_split_clause, [status(thm)], [p2037, sdef11, sdef226])).
% 29.58/4.29 cnf(p2039, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | convergent_lines(sk1,X0) | convergent_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),X0) | ~spl73), inference(resolution, [status(thm)], [p809, p73])).
% 29.58/4.29 fof(sdef227, definition, (spl227 <=> (convergent_lines(sk1,X0) | convergent_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),X0))), introduced(definition, [new_symbols(naming, [spl227])], [avatar_definition])).
% 29.58/4.29 cnf(ssp327, plain, (~spl73 | spl224 | spl227), inference(avatar_split_clause, [status(thm)], [p2039, sdef224, sdef227])).
% 29.58/4.29 cnf(p2041, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | convergent_lines(sk0,X0) | convergent_lines(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl73), inference(resolution, [status(thm)], [p809, p74])).
% 29.58/4.29 fof(sdef228, definition, (spl228 <=> (convergent_lines(sk0,X0) | convergent_lines(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))))), introduced(definition, [new_symbols(naming, [spl228])], [avatar_definition])).
% 29.58/4.29 cnf(ssp328, plain, (~spl73 | spl221 | spl228), inference(avatar_split_clause, [status(thm)], [p2041, sdef221, sdef228])).
% 29.58/4.29 cnf(p2043, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | convergent_lines(sk0,X0) | convergent_lines(sk1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl73), inference(resolution, [status(thm)], [p809, p75])).
% 29.58/4.29 fof(sdef229, definition, (spl229 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl229])], [avatar_definition])).
% 29.58/4.29 fof(sdef230, definition, (spl230 <=> (convergent_lines(sk1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))))), introduced(definition, [new_symbols(naming, [spl230])], [avatar_definition])).
% 29.58/4.29 cnf(ssp329, plain, (~spl73 | spl229 | spl230), inference(avatar_split_clause, [status(thm)], [p2043, sdef229, sdef230])).
% 29.58/4.29 cnf(p2046, plain, (convergent_lines(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | distinct_points(intersection_point(sk0,sk1),intersection_point(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk1)) | ~spl73), inference(resolution, [status(thm)], [p809, p80])).
% 29.58/4.29 fof(sdef231, definition, (spl231 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk1)))), introduced(definition, [new_symbols(naming, [spl231])], [avatar_definition])).
% 29.58/4.29 cnf(ssp330, plain, (~spl73 | spl219 | spl231), inference(avatar_split_clause, [status(thm)], [p2046, sdef219, sdef231])).
% 29.58/4.29 cnf(p2048, plain, (convergent_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | ~spl73), inference(resolution, [status(thm)], [p809, p81])).
% 29.58/4.29 fof(sdef232, definition, (spl232 <=> (convergent_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk1))), introduced(definition, [new_symbols(naming, [spl232])], [avatar_definition])).
% 29.58/4.29 cnf(ssp331, plain, (~spl73 | spl224 | spl232), inference(avatar_split_clause, [status(thm)], [p2048, sdef224, sdef232])).
% 29.58/4.29 cnf(p2050, plain, (distinct_lines(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | distinct_points(intersection_point(sk0,sk1),intersection_point(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk1)) | ~spl73), inference(resolution, [status(thm)], [p809, p83])).
% 29.58/4.29 fof(sdef233, definition, (spl233 <=> (distinct_lines(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))))), introduced(definition, [new_symbols(naming, [spl233])], [avatar_definition])).
% 29.58/4.29 cnf(ssp332, plain, (~spl73 | spl231 | spl233), inference(avatar_split_clause, [status(thm)], [p2050, sdef231, sdef233])).
% 29.58/4.29 cnf(p2052, plain, (distinct_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | ~spl73), inference(resolution, [status(thm)], [p809, p87])).
% 29.58/4.29 fof(sdef234, definition, (spl234 <=> (distinct_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk1))), introduced(definition, [new_symbols(naming, [spl234])], [avatar_definition])).
% 29.58/4.29 cnf(ssp333, plain, (~spl73 | spl224 | spl234), inference(avatar_split_clause, [status(thm)], [p2052, sdef224, sdef234])).
% 29.58/4.29 cnf(p2054, plain, (convergent_lines(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | convergent_lines(sk3,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),X0)) | ~spl73), inference(resolution, [status(thm)], [p809, p103])).
% 29.58/4.29 fof(sdef235, definition, (spl235 <=> (convergent_lines(sk3,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),X0)))), introduced(definition, [new_symbols(naming, [spl235])], [avatar_definition])).
% 29.58/4.29 cnf(ssp334, plain, (~spl73 | spl223 | spl235), inference(avatar_split_clause, [status(thm)], [p2054, sdef223, sdef235])).
% 29.58/4.29 cnf(p2056, plain, (convergent_lines(sk3,X0) | convergent_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | ~spl73), inference(resolution, [status(thm)], [p809, p104])).
% 29.58/4.29 fof(sdef236, definition, (spl236 <=> (convergent_lines(sk3,X0) | convergent_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),X0))), introduced(definition, [new_symbols(naming, [spl236])], [avatar_definition])).
% 29.58/4.29 cnf(ssp335, plain, (~spl73 | spl226 | spl236), inference(avatar_split_clause, [status(thm)], [p2056, sdef226, sdef236])).
% 29.58/4.29 cnf(p2058, plain, (convergent_lines(sk2,X0) | convergent_lines(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | ~spl73), inference(resolution, [status(thm)], [p809, p105])).
% 29.58/4.29 fof(sdef237, definition, (spl237 <=> (convergent_lines(sk2,X0) | convergent_lines(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))))), introduced(definition, [new_symbols(naming, [spl237])], [avatar_definition])).
% 29.58/4.29 cnf(ssp336, plain, (~spl73 | spl222 | spl237), inference(avatar_split_clause, [status(thm)], [p2058, sdef222, sdef237])).
% 29.58/4.29 cnf(p2060, plain, (convergent_lines(sk2,X0) | convergent_lines(sk3,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | ~spl73), inference(resolution, [status(thm)], [p809, p106])).
% 29.58/4.29 fof(sdef238, definition, (spl238 <=> (convergent_lines(sk2,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))))), introduced(definition, [new_symbols(naming, [spl238])], [avatar_definition])).
% 29.58/4.29 fof(sdef239, definition, (spl239 <=> (convergent_lines(sk3,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))))), introduced(definition, [new_symbols(naming, [spl239])], [avatar_definition])).
% 29.58/4.29 cnf(ssp337, plain, (~spl73 | spl238 | spl239), inference(avatar_split_clause, [status(thm)], [p2060, sdef238, sdef239])).
% 29.58/4.29 cnf(p111, plain, convergent_lines(sk2,X0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(X0,sk3)), inference(resolution, [status(thm)], [p94, c8])).
% 29.58/4.29 cnf(p2063, plain, (convergent_lines(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | distinct_points(intersection_point(sk0,sk1),intersection_point(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk3)) | ~spl73), inference(resolution, [status(thm)], [p809, p111])).
% 29.58/4.29 fof(sdef240, definition, (spl240 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk3)))), introduced(definition, [new_symbols(naming, [spl240])], [avatar_definition])).
% 29.58/4.29 cnf(ssp338, plain, (~spl73 | spl223 | spl240), inference(avatar_split_clause, [status(thm)], [p2063, sdef223, sdef240])).
% 29.58/4.29 cnf(p112, plain, convergent_lines(X0,sk3) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(sk2,X0)), inference(resolution, [status(thm)], [p94, c9])).
% 29.58/4.29 cnf(p2065, plain, (convergent_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk3) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | ~spl73), inference(resolution, [status(thm)], [p809, p112])).
% 29.58/4.29 fof(sdef241, definition, (spl241 <=> (convergent_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk3))), introduced(definition, [new_symbols(naming, [spl241])], [avatar_definition])).
% 29.58/4.29 cnf(ssp339, plain, (~spl73 | spl226 | spl241), inference(avatar_split_clause, [status(thm)], [p2065, sdef226, sdef241])).
% 29.58/4.29 cnf(p116, plain, distinct_lines(sk2,X0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(X0,sk3)), inference(resolution, [status(thm)], [p107, c8])).
% 29.58/4.29 cnf(p2067, plain, (distinct_lines(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | distinct_points(intersection_point(sk0,sk1),intersection_point(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk3)) | ~spl73), inference(resolution, [status(thm)], [p809, p116])).
% 29.58/4.29 cnf(ssp340, plain, (~spl73 | spl10 | spl240), inference(avatar_split_clause, [status(thm)], [p2067, sdef10, sdef240])).
% 29.58/4.29 cnf(p108, plain, convergent_lines(sk2,X0) | distinct_lines(X0,sk3), inference(resolution, [status(thm)], [p94, c13])).
% 29.58/4.29 cnf(p120, plain, distinct_lines(X0,sk3) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(sk2,X0)), inference(resolution, [status(thm)], [p108, c9])).
% 29.58/4.29 cnf(p2068, plain, (distinct_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk3) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | ~spl73), inference(resolution, [status(thm)], [p809, p120])).
% 29.58/4.29 fof(sdef242, definition, (spl242 <=> (distinct_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk3))), introduced(definition, [new_symbols(naming, [spl242])], [avatar_definition])).
% 29.58/4.29 cnf(ssp341, plain, (~spl73 | spl226 | spl242), inference(avatar_split_clause, [status(thm)], [p2068, sdef226, sdef242])).
% 29.58/4.29 cnf(p2070, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk3) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | ~spl1 | ~spl73), inference(resolution, [status(thm)], [p809, p126])).
% 29.58/4.29 cnf(ssp342, plain, (~spl1 | ~spl73 | spl3 | spl53), inference(avatar_split_clause, [status(thm)], [p2070, sdef3, sdef53])).
% 29.58/4.29 cnf(p203, plain, distinct_lines(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X0,X2) | distinct_lines(sk3,X3) | distinct_lines(X1,X3), inference(resolution, [status(thm)], [p43, c4])).
% 29.58/4.29 cnf(p2081, plain, (distinct_lines(X0,X1) | distinct_lines(X0,X2) | distinct_lines(sk3,X3) | distinct_lines(X1,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(X4,sk2) | apart_point_and_line(X4,X2) | ~spl1), inference(resolution, [status(thm)], [p203, p128])).
% 29.58/4.29 fof(sdef243, definition, (spl243 <=> (distinct_lines(X0,X1) | distinct_lines(X0,X2) | distinct_lines(sk3,X3) | distinct_lines(X1,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(X4,sk2) | apart_point_and_line(X4,X2))), introduced(definition, [new_symbols(naming, [spl243])], [avatar_definition])).
% 29.58/4.29 cnf(ssp343, plain, (~spl1 | spl0 | spl243), inference(avatar_split_clause, [status(thm)], [p2081, sdef0, sdef243])).
% 29.58/4.29 cnf(p2036, plain, (distinct_lines(sk1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl225), inference(avatar_component_clause, [status(thm)], [sdef225])).
% 29.58/4.29 cnf(p2089, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl1 | ~spl225), inference(resolution, [status(thm)], [p2036, p128])).
% 29.58/4.29 fof(sdef244, definition, (spl244 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))))), introduced(definition, [new_symbols(naming, [spl244])], [avatar_definition])).
% 29.58/4.29 cnf(ssp344, plain, (~spl1 | ~spl225 | spl43 | spl73 | spl244), inference(avatar_split_clause, [status(thm)], [p2089, sdef43, sdef73, sdef244])).
% 29.58/4.29 cnf(p204, plain, distinct_lines(sk3,X0) | distinct_lines(sk2,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p43, c4])).
% 29.58/4.29 cnf(p2102, plain, (distinct_lines(sk3,X0) | distinct_lines(X1,X2) | distinct_lines(X1,X3) | distinct_lines(X0,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(X4,sk2) | apart_point_and_line(X4,X2) | ~spl1), inference(resolution, [status(thm)], [p204, p128])).
% 29.58/4.29 fof(sdef245, definition, (spl245 <=> (distinct_lines(sk3,X0) | distinct_lines(X1,X2) | distinct_lines(X1,X3) | distinct_lines(X0,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(X4,sk2) | apart_point_and_line(X4,X2))), introduced(definition, [new_symbols(naming, [spl245])], [avatar_definition])).
% 29.58/4.29 cnf(ssp345, plain, (~spl1 | spl0 | spl245), inference(avatar_split_clause, [status(thm)], [p2102, sdef0, sdef245])).
% 29.58/4.29 cnf(p2051, plain, (distinct_lines(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl233), inference(avatar_component_clause, [status(thm)], [sdef233])).
% 29.58/4.29 cnf(p2105, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl1 | ~spl233), inference(resolution, [status(thm)], [p2051, p128])).
% 29.58/4.29 fof(sdef246, definition, (spl246 <=> (apart_point_and_line(X0,sk3) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))))), introduced(definition, [new_symbols(naming, [spl246])], [avatar_definition])).
% 29.58/4.29 cnf(ssp346, plain, (~spl1 | ~spl233 | spl42 | spl73 | spl246), inference(avatar_split_clause, [status(thm)], [p2105, sdef42, sdef73, sdef246])).
% 29.58/4.29 cnf(p2053, plain, (distinct_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk1) | ~spl234), inference(avatar_component_clause, [status(thm)], [sdef234])).
% 29.58/4.29 cnf(p2108, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | apart_point_and_line(X0,sk1) | ~spl1 | ~spl234), inference(resolution, [status(thm)], [p2053, p128])).
% 29.58/4.29 cnf(ssp347, plain, (~spl1 | ~spl234 | spl43 | spl73 | spl244), inference(avatar_split_clause, [status(thm)], [p2108, sdef43, sdef73, sdef244])).
% 29.58/4.29 cnf(p205, plain, distinct_lines(sk3,X0) | distinct_lines(X1,X0) | distinct_lines(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p43, c4])).
% 29.58/4.29 cnf(p2120, plain, (distinct_lines(sk3,X0) | distinct_lines(X1,X0) | distinct_lines(X1,X2) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X3) | apart_point_and_line(X4,sk2) | apart_point_and_line(X4,X3) | ~spl1), inference(resolution, [status(thm)], [p205, p128])).
% 29.58/4.29 fof(sdef247, definition, (spl247 <=> (distinct_lines(sk3,X0) | distinct_lines(X1,X0) | distinct_lines(X1,X2) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X3) | apart_point_and_line(X4,sk2) | apart_point_and_line(X4,X3))), introduced(definition, [new_symbols(naming, [spl247])], [avatar_definition])).
% 29.58/4.29 cnf(ssp348, plain, (~spl1 | spl0 | spl247), inference(avatar_split_clause, [status(thm)], [p2120, sdef0, sdef247])).
% 29.58/4.29 cnf(p2027, plain, (convergent_lines(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl219), inference(avatar_component_clause, [status(thm)], [sdef219])).
% 29.58/4.29 cnf(p2071, plain, (distinct_lines(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl219), inference(resolution, [status(thm)], [p2027, c13])).
% 29.58/4.29 cnf(p2124, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl1 | ~spl219), inference(resolution, [status(thm)], [p2071, p128])).
% 29.58/4.29 cnf(ssp349, plain, (~spl1 | ~spl219 | spl42 | spl73 | spl246), inference(avatar_split_clause, [status(thm)], [p2124, sdef42, sdef73, sdef246])).
% 29.58/4.29 cnf(p2033, plain, (convergent_lines(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl223), inference(avatar_component_clause, [status(thm)], [sdef223])).
% 29.58/4.29 cnf(p2084, plain, (distinct_lines(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl223), inference(resolution, [status(thm)], [p2033, c13])).
% 29.58/4.29 cnf(p2126, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl1 | ~spl223), inference(resolution, [status(thm)], [p2084, p128])).
% 29.58/4.29 cnf(ssp350, plain, (~spl1 | ~spl223 | spl0 | spl73 | spl138), inference(avatar_split_clause, [status(thm)], [p2126, sdef0, sdef73, sdef138])).
% 29.58/4.29 cnf(p2045, plain, (convergent_lines(sk1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl230), inference(avatar_component_clause, [status(thm)], [sdef230])).
% 29.58/4.29 cnf(p2091, plain, (distinct_lines(sk1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl230), inference(resolution, [status(thm)], [p2045, c13])).
% 29.58/4.29 cnf(p2128, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl1 | ~spl230), inference(resolution, [status(thm)], [p2091, p128])).
% 29.58/4.29 cnf(ssp351, plain, (~spl1 | ~spl230 | spl43 | spl73 | spl244), inference(avatar_split_clause, [status(thm)], [p2128, sdef43, sdef73, sdef244])).
% 29.58/4.29 cnf(p206, plain, distinct_lines(sk3,X0) | distinct_lines(X1,X0) | distinct_lines(sk2,X2) | distinct_lines(X1,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p43, c4])).
% 29.58/4.29 cnf(p2130, plain, (distinct_lines(sk3,X0) | distinct_lines(X1,X0) | distinct_lines(X1,X2) | distinct_lines(X3,X2) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X3) | apart_point_and_line(X4,sk2) | apart_point_and_line(X4,X3) | ~spl1), inference(resolution, [status(thm)], [p206, p128])).
% 29.58/4.29 fof(sdef248, definition, (spl248 <=> (distinct_lines(sk3,X0) | distinct_lines(X1,X0) | distinct_lines(X1,X2) | distinct_lines(X3,X2) | apart_point_and_line(X4,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X3) | apart_point_and_line(X4,sk2) | apart_point_and_line(X4,X3))), introduced(definition, [new_symbols(naming, [spl248])], [avatar_definition])).
% 29.58/4.29 cnf(ssp352, plain, (~spl1 | spl0 | spl248), inference(avatar_split_clause, [status(thm)], [p2130, sdef0, sdef248])).
% 29.58/4.29 cnf(p2049, plain, (convergent_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk1) | ~spl232), inference(avatar_component_clause, [status(thm)], [sdef232])).
% 29.58/4.29 cnf(p2095, plain, (distinct_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk1) | ~spl232), inference(resolution, [status(thm)], [p2049, c13])).
% 29.58/4.29 cnf(p2134, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | apart_point_and_line(X0,sk1) | ~spl1 | ~spl232), inference(resolution, [status(thm)], [p2095, p128])).
% 29.58/4.29 cnf(ssp353, plain, (~spl1 | ~spl232 | spl43 | spl73 | spl244), inference(avatar_split_clause, [status(thm)], [p2134, sdef43, sdef73, sdef244])).
% 29.58/4.29 cnf(p810, plain, (apart_point_and_line(intersection_point(sk2,sk3),line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl74), inference(avatar_component_clause, [status(thm)], [sdef74])).
% 29.58/4.29 cnf(p2139, plain, (convergent_lines(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | convergent_lines(sk1,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),X0)) | ~spl74), inference(resolution, [status(thm)], [p810, p66])).
% 29.58/4.29 fof(sdef249, definition, (spl249 <=> (convergent_lines(sk1,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),X0)))), introduced(definition, [new_symbols(naming, [spl249])], [avatar_definition])).
% 29.58/4.29 cnf(ssp354, plain, (~spl74 | spl219 | spl249), inference(avatar_split_clause, [status(thm)], [p2139, sdef219, sdef249])).
% 29.58/4.29 cnf(p2141, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | convergent_lines(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl74), inference(resolution, [status(thm)], [p810, p69])).
% 29.58/4.29 fof(sdef250, definition, (spl250 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))))), introduced(definition, [new_symbols(naming, [spl250])], [avatar_definition])).
% 29.58/4.29 cnf(ssp355, plain, (~spl74 | spl219 | spl250), inference(avatar_split_clause, [status(thm)], [p2141, sdef219, sdef250])).
% 29.58/4.29 cnf(p2143, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | convergent_lines(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl74), inference(resolution, [status(thm)], [p810, p70])).
% 29.58/4.29 fof(sdef251, definition, (spl251 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))))), introduced(definition, [new_symbols(naming, [spl251])], [avatar_definition])).
% 29.58/4.29 cnf(ssp356, plain, (~spl74 | spl223 | spl251), inference(avatar_split_clause, [status(thm)], [p2143, sdef223, sdef251])).
% 29.58/4.29 cnf(p2145, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | distinct_lines(sk1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl74), inference(resolution, [status(thm)], [p810, p71])).
% 29.58/4.29 fof(sdef252, definition, (spl252 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))))), introduced(definition, [new_symbols(naming, [spl252])], [avatar_definition])).
% 29.58/4.29 cnf(ssp357, plain, (~spl74 | spl225 | spl252), inference(avatar_split_clause, [status(thm)], [p2145, sdef225, sdef252])).
% 29.58/4.29 cnf(p2147, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | distinct_lines(sk3,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl74), inference(resolution, [status(thm)], [p810, p72])).
% 29.58/4.29 fof(sdef253, definition, (spl253 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))))), introduced(definition, [new_symbols(naming, [spl253])], [avatar_definition])).
% 29.58/4.29 cnf(ssp358, plain, (~spl74 | spl11 | spl253), inference(avatar_split_clause, [status(thm)], [p2147, sdef11, sdef253])).
% 29.58/4.29 cnf(p2149, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | convergent_lines(sk1,X0) | convergent_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),X0) | ~spl74), inference(resolution, [status(thm)], [p810, p73])).
% 29.58/4.29 cnf(ssp359, plain, (~spl74 | spl227 | spl252), inference(avatar_split_clause, [status(thm)], [p2149, sdef227, sdef252])).
% 29.58/4.29 cnf(p2150, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | convergent_lines(sk0,X0) | convergent_lines(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl74), inference(resolution, [status(thm)], [p810, p74])).
% 29.58/4.29 cnf(ssp360, plain, (~spl74 | spl228 | spl250), inference(avatar_split_clause, [status(thm)], [p2150, sdef228, sdef250])).
% 29.58/4.29 cnf(p2151, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | convergent_lines(sk0,X0) | convergent_lines(sk1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl74), inference(resolution, [status(thm)], [p810, p75])).
% 29.58/4.29 fof(sdef254, definition, (spl254 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl254])], [avatar_definition])).
% 29.58/4.29 cnf(ssp361, plain, (~spl74 | spl230 | spl254), inference(avatar_split_clause, [status(thm)], [p2151, sdef230, sdef254])).
% 29.58/4.29 cnf(p2153, plain, (convergent_lines(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | distinct_points(intersection_point(sk2,sk3),intersection_point(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk1)) | ~spl74), inference(resolution, [status(thm)], [p810, p80])).
% 29.58/4.29 fof(sdef255, definition, (spl255 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk1)))), introduced(definition, [new_symbols(naming, [spl255])], [avatar_definition])).
% 29.58/4.29 cnf(ssp362, plain, (~spl74 | spl219 | spl255), inference(avatar_split_clause, [status(thm)], [p2153, sdef219, sdef255])).
% 29.58/4.29 cnf(p2155, plain, (convergent_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | ~spl74), inference(resolution, [status(thm)], [p810, p81])).
% 29.58/4.29 cnf(ssp363, plain, (~spl74 | spl232 | spl252), inference(avatar_split_clause, [status(thm)], [p2155, sdef232, sdef252])).
% 29.58/4.29 cnf(p2156, plain, (distinct_lines(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | distinct_points(intersection_point(sk2,sk3),intersection_point(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk1)) | ~spl74), inference(resolution, [status(thm)], [p810, p83])).
% 29.58/4.29 cnf(ssp364, plain, (~spl74 | spl233 | spl255), inference(avatar_split_clause, [status(thm)], [p2156, sdef233, sdef255])).
% 29.58/4.29 cnf(p2157, plain, (distinct_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | ~spl74), inference(resolution, [status(thm)], [p810, p87])).
% 29.58/4.29 cnf(ssp365, plain, (~spl74 | spl234 | spl252), inference(avatar_split_clause, [status(thm)], [p2157, sdef234, sdef252])).
% 29.58/4.29 cnf(p2159, plain, (convergent_lines(sk3,X0) | convergent_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | ~spl74), inference(resolution, [status(thm)], [p810, p104])).
% 29.58/4.29 cnf(ssp366, plain, (~spl74 | spl236 | spl253), inference(avatar_split_clause, [status(thm)], [p2159, sdef236, sdef253])).
% 29.58/4.29 cnf(p2160, plain, (convergent_lines(sk2,X0) | convergent_lines(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | ~spl74), inference(resolution, [status(thm)], [p810, p105])).
% 29.58/4.29 cnf(ssp367, plain, (~spl74 | spl237 | spl251), inference(avatar_split_clause, [status(thm)], [p2160, sdef237, sdef251])).
% 29.58/4.29 cnf(p2163, plain, (convergent_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | ~spl74), inference(resolution, [status(thm)], [p810, p112])).
% 29.58/4.29 cnf(ssp368, plain, (~spl74 | spl241 | spl253), inference(avatar_split_clause, [status(thm)], [p2163, sdef241, sdef253])).
% 29.58/4.29 cnf(p2165, plain, (distinct_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))) | ~spl74), inference(resolution, [status(thm)], [p810, p120])).
% 29.58/4.29 cnf(ssp369, plain, (~spl74 | spl242 | spl253), inference(avatar_split_clause, [status(thm)], [p2165, sdef242, sdef253])).
% 29.58/4.29 cnf(p935, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk3)) | convergent_lines(sk0,X0) | ~spl93), inference(avatar_component_clause, [status(thm)], [sdef93])).
% 29.58/4.29 cnf(p2224, plain, (convergent_lines(sk0,sk2) | ~spl93), inference(resolution, [status(thm)], [p935, c0])).
% 29.58/4.29 cnf(p2229, plain, (distinct_lines(sk0,sk2) | ~spl93), inference(resolution, [status(thm)], [p2224, c13])).
% 29.58/4.29 cnf(p2234, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | ~spl1 | ~spl93), inference(resolution, [status(thm)], [p2229, p128])).
% 29.58/4.29 cnf(ssp370, plain, (~spl1 | ~spl93 | spl0 | spl42 | spl119), inference(avatar_split_clause, [status(thm)], [p2234, sdef0, sdef42, sdef119])).
% 29.58/4.29 cnf(p213, plain, convergent_lines(sk1,X0) | distinct_lines(sk0,X1) | ~apart_point_and_line(X2,X1) | distinct_points(X2,intersection_point(X1,X0)), inference(resolution, [status(thm)], [p58, c8])).
% 29.58/4.29 cnf(p2248, plain, (convergent_lines(sk1,X0) | distinct_lines(sk0,sk3) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,X0)) | ~spl1), inference(resolution, [status(thm)], [p213, p18])).
% 29.58/4.29 cnf(ssp371, plain, (~spl1 | spl17 | spl39), inference(avatar_split_clause, [status(thm)], [p2248, sdef17, sdef39])).
% 29.58/4.29 cnf(p2231, plain, (~apart_point_and_line(X0,sk0) | distinct_points(X0,intersection_point(sk0,sk2)) | ~spl93), inference(resolution, [status(thm)], [p2224, c8])).
% 29.58/4.29 cnf(p2253, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | distinct_lines(sk3,sk0) | ~spl1 | ~spl93), inference(resolution, [status(thm)], [p2231, p130])).
% 29.58/4.29 cnf(ssp372, plain, (~spl1 | ~spl93 | spl5 | spl20), inference(avatar_split_clause, [status(thm)], [p2253, sdef5, sdef20])).
% 29.58/4.29 cnf(p2255, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | distinct_lines(sk3,X0) | distinct_lines(X0,sk0) | ~spl1 | ~spl93), inference(resolution, [status(thm)], [p2231, p182])).
% 29.58/4.29 cnf(ssp373, plain, (~spl1 | ~spl93 | spl20 | spl205), inference(avatar_split_clause, [status(thm)], [p2255, sdef20, sdef205])).
% 29.58/4.29 cnf(p943, plain, (convergent_lines(sk1,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1) | ~spl36), inference(resolution, [status(thm)], [p667, c5])).
% 29.58/4.29 cnf(p2256, plain, (convergent_lines(sk1,X0) | convergent_lines(X0,sk3) | ~spl36), inference(resolution, [status(thm)], [p943, c2])).
% 29.58/4.29 cnf(p2269, plain, (convergent_lines(X0,sk3) | distinct_lines(sk1,X0) | ~spl36), inference(resolution, [status(thm)], [p2256, c13])).
% 29.58/4.29 cnf(p2281, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk3) | ~spl36), inference(resolution, [status(thm)], [p2269, c13])).
% 29.58/4.29 cnf(p2288, plain, (distinct_lines(X0,sk3) | apart_point_and_line(X1,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | ~spl1 | ~spl36), inference(resolution, [status(thm)], [p2281, p128])).
% 29.58/4.29 cnf(ssp374, plain, (~spl1 | ~spl36 | spl43 | spl162), inference(avatar_split_clause, [status(thm)], [p2288, sdef43, sdef162])).
% 29.58/4.29 cnf(p961, plain, (distinct_lines(sk1,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl36), inference(resolution, [status(thm)], [p674, c4])).
% 29.58/4.29 cnf(p2292, plain, (distinct_lines(sk3,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1) | ~spl1 | ~spl36), inference(resolution, [status(thm)], [p961, p128])).
% 29.58/4.29 cnf(ssp375, plain, (~spl1 | ~spl36 | spl43 | spl173), inference(avatar_split_clause, [status(thm)], [p2292, sdef43, sdef173])).
% 29.58/4.29 cnf(p974, plain, (distinct_lines(sk0,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl39), inference(resolution, [status(thm)], [p691, c4])).
% 29.58/4.29 cnf(p2316, plain, (distinct_lines(sk3,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X1) | ~spl1 | ~spl39), inference(resolution, [status(thm)], [p974, p128])).
% 29.58/4.29 cnf(ssp376, plain, (~spl1 | ~spl39 | spl42 | spl172), inference(avatar_split_clause, [status(thm)], [p2316, sdef42, sdef172])).
% 29.58/4.29 cnf(p2312, plain, (distinct_lines(sk0,X0) | distinct_lines(X0,sk3) | ~spl39), inference(resolution, [status(thm)], [p974, c1])).
% 29.58/4.29 cnf(p2321, plain, (distinct_lines(X0,sk3) | apart_point_and_line(X1,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | ~spl1 | ~spl39), inference(resolution, [status(thm)], [p2312, p128])).
% 29.58/4.29 cnf(ssp377, plain, (~spl1 | ~spl39 | spl42 | spl171), inference(avatar_split_clause, [status(thm)], [p2321, sdef42, sdef171])).
% 29.58/4.29 cnf(p207, plain, convergent_lines(sk1,X0) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p58, c2])).
% 29.58/4.29 cnf(p217, plain, distinct_lines(sk0,X0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(sk1,X0)), inference(resolution, [status(thm)], [p207, c9])).
% 29.58/4.29 cnf(p2335, plain, (distinct_lines(sk0,sk3) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk3)) | ~spl1), inference(resolution, [status(thm)], [p217, p18])).
% 29.58/4.29 cnf(ssp378, plain, (~spl1 | spl19 | spl39), inference(avatar_split_clause, [status(thm)], [p2335, sdef19, sdef39])).
% 29.58/4.29 cnf(p987, plain, (convergent_lines(sk3,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)) | ~spl97), inference(avatar_component_clause, [status(thm)], [sdef97])).
% 29.58/4.29 cnf(p2326, plain, (convergent_lines(sk3,sk1) | ~spl97), inference(resolution, [status(thm)], [p987, c0])).
% 29.58/4.29 cnf(p2333, plain, (~apart_point_and_line(X0,sk3) | distinct_points(X0,intersection_point(sk3,sk1)) | ~spl97), inference(resolution, [status(thm)], [p2326, c8])).
% 29.58/4.29 cnf(p2365, plain, (distinct_points(X0,intersection_point(sk3,sk1)) | distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | ~spl1 | ~spl97), inference(resolution, [status(thm)], [p2333, p181])).
% 29.58/4.29 cnf(ssp379, plain, (~spl1 | ~spl97 | spl183 | spl201), inference(avatar_split_clause, [status(thm)], [p2365, sdef183, sdef201])).
% 29.58/4.29 cnf(p2332, plain, (convergent_lines(sk3,X0) | convergent_lines(sk1,X0) | ~spl97), inference(resolution, [status(thm)], [p2326, c5])).
% 29.58/4.29 cnf(p2341, plain, (convergent_lines(sk1,sk3) | ~spl97), inference(resolution, [status(thm)], [p2332, c2])).
% 29.58/4.29 cnf(p2347, plain, (~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk1,sk3)) | ~spl97), inference(resolution, [status(thm)], [p2341, c8])).
% 29.58/4.29 cnf(p2373, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk3)) | distinct_lines(sk3,X0) | distinct_lines(X0,sk1) | ~spl1 | ~spl97), inference(resolution, [status(thm)], [p2347, p182])).
% 29.58/4.29 cnf(ssp380, plain, (~spl1 | ~spl97 | spl19 | spl206), inference(avatar_split_clause, [status(thm)], [p2373, sdef19, sdef206])).
% 29.58/4.29 cnf(p2348, plain, (~apart_point_and_line(X0,sk3) | distinct_points(X0,intersection_point(sk1,sk3)) | ~spl97), inference(resolution, [status(thm)], [p2341, c9])).
% 29.58/4.29 cnf(p2376, plain, (distinct_points(X0,intersection_point(sk1,sk3)) | distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | ~spl1 | ~spl97), inference(resolution, [status(thm)], [p2348, p181])).
% 29.58/4.29 cnf(ssp381, plain, (~spl1 | ~spl97 | spl183 | spl200), inference(avatar_split_clause, [status(thm)], [p2376, sdef183, sdef200])).
% 29.58/4.29 cnf(p991, plain, (distinct_lines(X0,sk3) | distinct_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl27), inference(resolution, [status(thm)], [p719, c4])).
% 29.58/4.29 cnf(p2392, plain, (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X1) | ~spl1 | ~spl27), inference(resolution, [status(thm)], [p991, p128])).
% 29.58/4.29 cnf(ssp382, plain, (~spl1 | ~spl27 | spl42 | spl166), inference(avatar_split_clause, [status(thm)], [p2392, sdef42, sdef166])).
% 29.58/4.29 cnf(p223, plain, convergent_lines(sk0,X0) | distinct_lines(sk1,X1) | ~apart_point_and_line(X2,X1) | distinct_points(X2,intersection_point(X0,X1)), inference(resolution, [status(thm)], [p59, c9])).
% 29.58/4.29 cnf(p2425, plain, (convergent_lines(sk0,X0) | distinct_lines(sk1,sk3) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk3)) | ~spl1), inference(resolution, [status(thm)], [p223, p18])).
% 29.58/4.29 cnf(ssp383, plain, (~spl1 | spl23 | spl30), inference(avatar_split_clause, [status(thm)], [p2425, sdef23, sdef30])).
% 29.58/4.29 cnf(p1025, plain, (convergent_lines(sk2,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk1)) | ~spl101), inference(avatar_component_clause, [status(thm)], [sdef101])).
% 29.58/4.29 cnf(p2420, plain, (convergent_lines(sk2,sk0) | ~spl101), inference(resolution, [status(thm)], [p1025, c0])).
% 29.58/4.29 cnf(p2430, plain, (distinct_lines(sk2,sk0) | ~spl101), inference(resolution, [status(thm)], [p2420, c13])).
% 29.58/4.29 cnf(p2435, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk0) | ~spl1 | ~spl101), inference(resolution, [status(thm)], [p2430, p128])).
% 29.58/4.29 cnf(ssp384, plain, (~spl1 | ~spl101 | spl0 | spl42 | spl119), inference(avatar_split_clause, [status(thm)], [p2435, sdef0, sdef42, sdef119])).
% 29.58/4.29 cnf(p2433, plain, (~apart_point_and_line(X0,sk0) | distinct_points(X0,intersection_point(sk2,sk0)) | ~spl101), inference(resolution, [status(thm)], [p2420, c9])).
% 29.58/4.29 cnf(p2472, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk0)) | distinct_lines(sk3,sk0) | ~spl1 | ~spl101), inference(resolution, [status(thm)], [p2433, p130])).
% 29.58/4.29 cnf(ssp385, plain, (~spl1 | ~spl101 | spl5 | spl88), inference(avatar_split_clause, [status(thm)], [p2472, sdef5, sdef88])).
% 29.58/4.29 cnf(p2474, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk0)) | distinct_lines(sk3,X0) | distinct_lines(X0,sk0) | ~spl1 | ~spl101), inference(resolution, [status(thm)], [p2433, p182])).
% 29.58/4.29 cnf(ssp386, plain, (~spl1 | ~spl101 | spl88 | spl205), inference(avatar_split_clause, [status(thm)], [p2474, sdef88, sdef205])).
% 29.58/4.29 cnf(p2431, plain, (convergent_lines(sk2,X0) | convergent_lines(sk0,X0) | ~spl101), inference(resolution, [status(thm)], [p2420, c5])).
% 29.58/4.29 cnf(p2436, plain, (convergent_lines(sk0,sk2) | ~spl101), inference(resolution, [status(thm)], [p2431, c2])).
% 29.58/4.29 cnf(p2442, plain, (~apart_point_and_line(X0,sk0) | distinct_points(X0,intersection_point(sk0,sk2)) | ~spl101), inference(resolution, [status(thm)], [p2436, c8])).
% 29.58/4.29 cnf(p2475, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | distinct_lines(sk3,sk0) | ~spl1 | ~spl101), inference(resolution, [status(thm)], [p2442, p130])).
% 29.58/4.29 cnf(ssp387, plain, (~spl1 | ~spl101 | spl5 | spl20), inference(avatar_split_clause, [status(thm)], [p2475, sdef5, sdef20])).
% 29.58/4.29 cnf(p2477, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | distinct_lines(sk3,X0) | distinct_lines(X0,sk0) | ~spl1 | ~spl101), inference(resolution, [status(thm)], [p2442, p182])).
% 29.58/4.29 cnf(ssp388, plain, (~spl1 | ~spl101 | spl20 | spl205), inference(avatar_split_clause, [status(thm)], [p2477, sdef20, sdef205])).
% 29.58/4.29 cnf(p1051, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1) | ~spl99), inference(resolution, [status(thm)], [p998, c5])).
% 29.58/4.29 cnf(p2537, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk3) | ~spl99), inference(resolution, [status(thm)], [p1051, c2])).
% 29.58/4.29 cnf(p2550, plain, (convergent_lines(X0,sk3) | distinct_lines(sk0,X0) | ~spl99), inference(resolution, [status(thm)], [p2537, c13])).
% 29.58/4.29 cnf(p2562, plain, (distinct_lines(sk0,X0) | distinct_lines(X0,sk3) | ~spl99), inference(resolution, [status(thm)], [p2550, c13])).
% 29.58/4.29 cnf(p2569, plain, (distinct_lines(X0,sk3) | apart_point_and_line(X1,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | ~spl1 | ~spl99), inference(resolution, [status(thm)], [p2562, p128])).
% 29.58/4.29 cnf(ssp389, plain, (~spl1 | ~spl99 | spl42 | spl171), inference(avatar_split_clause, [status(thm)], [p2569, sdef42, sdef171])).
% 29.58/4.29 cnf(p1054, plain, (distinct_lines(sk0,sk3) | ~spl99), inference(resolution, [status(thm)], [p1049, c13])).
% 29.58/4.29 cnf(p1057, plain, (distinct_lines(sk0,X0) | distinct_lines(sk3,X0) | ~spl99), inference(resolution, [status(thm)], [p1054, c4])).
% 29.58/4.29 cnf(p1081, plain, (distinct_lines(sk0,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl99), inference(resolution, [status(thm)], [p1057, c4])).
% 29.58/4.29 cnf(p2596, plain, (distinct_lines(sk3,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X1) | ~spl1 | ~spl99), inference(resolution, [status(thm)], [p1081, p128])).
% 29.58/4.29 cnf(ssp390, plain, (~spl1 | ~spl99 | spl42 | spl172), inference(avatar_split_clause, [status(thm)], [p2596, sdef42, sdef172])).
% 29.58/4.29 cnf(p239, plain, convergent_lines(sk0,X0) | convergent_lines(X1,X0) | ~apart_point_and_line(X2,X1) | distinct_points(X2,intersection_point(X1,sk1)), inference(resolution, [status(thm)], [p78, c8])).
% 29.58/4.29 cnf(p2808, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,sk1)) | ~spl1), inference(resolution, [status(thm)], [p239, p18])).
% 29.58/4.29 cnf(ssp391, plain, (~spl1 | spl34 | spl99), inference(avatar_split_clause, [status(thm)], [p2808, sdef34, sdef99])).
% 29.58/4.29 cnf(p1361, plain, (distinct_lines(X0,sk3) | distinct_lines(sk1,X1) | distinct_lines(X0,X1) | ~spl160), inference(resolution, [status(thm)], [p1356, c4])).
% 29.58/4.29 cnf(p2820, plain, (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1) | ~spl1 | ~spl160), inference(resolution, [status(thm)], [p1361, p128])).
% 29.58/4.29 cnf(ssp392, plain, (~spl1 | ~spl160 | spl43 | spl167), inference(avatar_split_clause, [status(thm)], [p2820, sdef43, sdef167])).
% 29.58/4.29 cnf(p241, plain, convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | ~apart_point_and_line(X2,X0) | distinct_points(X2,intersection_point(X0,X1)), inference(resolution, [status(thm)], [p78, c8])).
% 29.58/4.29 cnf(p2856, plain, (convergent_lines(sk3,sk1) | convergent_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,X0)) | ~spl1), inference(resolution, [status(thm)], [p241, p18])).
% 29.58/4.29 cnf(ssp393, plain, (~spl1 | spl36 | spl158), inference(avatar_split_clause, [status(thm)], [p2856, sdef36, sdef158])).
% 29.58/4.29 cnf(p2858, plain, (convergent_lines(sk3,sk1) | convergent_lines(sk0,X0) | distinct_points(X1,intersection_point(sk3,X0)) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p241, p125])).
% 29.58/4.29 cnf(ssp394, plain, (~spl1 | spl36 | spl159), inference(avatar_split_clause, [status(thm)], [p2858, sdef36, sdef159])).
% 29.58/4.29 cnf(p1565, plain, (convergent_lines(X0,sk3) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl16), inference(resolution, [status(thm)], [p1550, c5])).
% 29.58/4.29 cnf(p2976, plain, (convergent_lines(X0,sk3) | convergent_lines(X0,sk0) | ~spl16), inference(resolution, [status(thm)], [p1565, c2])).
% 29.58/4.29 cnf(p2987, plain, (convergent_lines(sk3,sk0) | ~spl16), inference(resolution, [status(thm)], [p2976, c2])).
% 29.58/4.29 cnf(p2995, plain, (~apart_point_and_line(X0,sk3) | distinct_points(X0,intersection_point(sk3,sk0)) | ~spl16), inference(resolution, [status(thm)], [p2987, c8])).
% 29.58/4.29 cnf(p3002, plain, (distinct_points(X0,intersection_point(sk3,sk0)) | distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | ~spl1 | ~spl16), inference(resolution, [status(thm)], [p2995, p181])).
% 29.58/4.29 cnf(ssp395, plain, (~spl1 | ~spl16 | spl183 | spl204), inference(avatar_split_clause, [status(thm)], [p3002, sdef183, sdef204])).
% 29.58/4.29 cnf(p246, plain, convergent_lines(X0,sk0) | distinct_lines(X0,sk1), inference(resolution, [status(thm)], [p234, c13])).
% 29.58/4.29 cnf(p252, plain, distinct_lines(X0,sk1) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(X0,sk0)), inference(resolution, [status(thm)], [p246, c8])).
% 29.58/4.29 cnf(p3006, plain, (distinct_lines(sk3,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,sk0)) | ~spl1), inference(resolution, [status(thm)], [p252, p18])).
% 29.58/4.29 cnf(ssp396, plain, (~spl1 | spl6 | spl86), inference(avatar_split_clause, [status(thm)], [p3006, sdef6, sdef86])).
% 29.58/4.29 cnf(p3008, plain, (distinct_lines(sk3,sk1) | distinct_points(X0,intersection_point(sk3,sk0)) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p252, p125])).
% 29.58/4.29 cnf(ssp397, plain, (~spl1 | spl6 | spl169), inference(avatar_split_clause, [status(thm)], [p3008, sdef6, sdef169])).
% 29.58/4.29 cnf(p1578, plain, (distinct_lines(X0,sk3) | distinct_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl16), inference(resolution, [status(thm)], [p1572, c4])).
% 29.58/4.29 cnf(p3035, plain, (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X1) | ~spl1 | ~spl16), inference(resolution, [status(thm)], [p1578, p128])).
% 29.58/4.29 cnf(ssp398, plain, (~spl1 | ~spl16 | spl42 | spl166), inference(avatar_split_clause, [status(thm)], [p3035, sdef42, sdef166])).
% 29.58/4.29 cnf(p1635, plain, (distinct_lines(X0,sk3) | distinct_lines(sk1,X1) | distinct_lines(X0,X1) | ~spl23), inference(resolution, [status(thm)], [p1617, c4])).
% 29.58/4.29 cnf(p3053, plain, (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1) | ~spl1 | ~spl23), inference(resolution, [status(thm)], [p1635, p128])).
% 29.58/4.29 cnf(ssp399, plain, (~spl1 | ~spl23 | spl43 | spl167), inference(avatar_split_clause, [status(thm)], [p3053, sdef43, sdef167])).
% 29.58/4.29 cnf(p1652, plain, (convergent_lines(X0,sk3) | convergent_lines(sk1,X1) | convergent_lines(X0,X1) | ~spl25), inference(resolution, [status(thm)], [p1637, c5])).
% 29.58/4.29 cnf(p3086, plain, (convergent_lines(X0,sk3) | convergent_lines(X0,sk1) | ~spl25), inference(resolution, [status(thm)], [p1652, c2])).
% 29.58/4.29 cnf(p3097, plain, (convergent_lines(sk3,sk1) | ~spl25), inference(resolution, [status(thm)], [p3086, c2])).
% 29.58/4.29 cnf(p3102, plain, (~apart_point_and_line(X0,sk3) | distinct_points(X0,intersection_point(sk3,sk1)) | ~spl25), inference(resolution, [status(thm)], [p3097, c8])).
% 29.58/4.29 cnf(p3380, plain, (distinct_points(X0,intersection_point(sk3,sk1)) | distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | ~spl1 | ~spl25), inference(resolution, [status(thm)], [p3102, p181])).
% 29.58/4.29 cnf(ssp400, plain, (~spl1 | ~spl25 | spl183 | spl201), inference(avatar_split_clause, [status(thm)], [p3380, sdef183, sdef201])).
% 29.58/4.29 cnf(p1672, plain, (distinct_lines(X0,sk3) | distinct_lines(sk1,X1) | distinct_lines(X0,X1) | ~spl25), inference(resolution, [status(thm)], [p1657, c4])).
% 29.58/4.29 cnf(p3410, plain, (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1) | ~spl1 | ~spl25), inference(resolution, [status(thm)], [p1672, p128])).
% 29.58/4.29 cnf(ssp401, plain, (~spl1 | ~spl25 | spl43 | spl167), inference(avatar_split_clause, [status(thm)], [p3410, sdef43, sdef167])).
% 29.58/4.29 cnf(p85, plain, distinct_lines(X0,sk1) | convergent_lines(sk0,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p77, c5])).
% 29.58/4.29 cnf(p269, plain, distinct_lines(X0,sk1) | convergent_lines(sk0,X1) | ~apart_point_and_line(X2,X0) | distinct_points(X2,intersection_point(X0,X1)), inference(resolution, [status(thm)], [p85, c8])).
% 29.58/4.29 cnf(p3482, plain, (distinct_lines(sk3,sk1) | convergent_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,X0)) | ~spl1), inference(resolution, [status(thm)], [p269, p18])).
% 29.58/4.29 cnf(ssp402, plain, (~spl1 | spl6 | spl158), inference(avatar_split_clause, [status(thm)], [p3482, sdef6, sdef158])).
% 29.58/4.29 cnf(p3484, plain, (distinct_lines(sk3,sk1) | convergent_lines(sk0,X0) | distinct_points(X1,intersection_point(sk3,X0)) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p269, p125])).
% 29.58/4.29 cnf(ssp403, plain, (~spl1 | spl6 | spl159), inference(avatar_split_clause, [status(thm)], [p3484, sdef6, sdef159])).
% 29.58/4.29 cnf(p1827, plain, (distinct_lines(sk3,X0) | distinct_lines(X0,sk0) | ~spl205), inference(avatar_component_clause, [status(thm)], [sdef205])).
% 29.58/4.29 cnf(p1872, plain, (distinct_lines(X0,sk0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl205), inference(resolution, [status(thm)], [p1827, c4])).
% 29.58/4.29 cnf(p3632, plain, (distinct_lines(sk3,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(X2,X1) | apart_point_and_line(X2,sk0) | ~spl1 | ~spl205), inference(resolution, [status(thm)], [p1872, p128])).
% 29.58/4.29 cnf(ssp404, plain, (~spl1 | ~spl205 | spl42 | spl172), inference(avatar_split_clause, [status(thm)], [p3632, sdef42, sdef172])).
% 29.58/4.29 cnf(p1829, plain, (distinct_lines(sk3,X0) | distinct_lines(X0,sk1) | ~spl206), inference(avatar_component_clause, [status(thm)], [sdef206])).
% 29.58/4.29 cnf(p1876, plain, (distinct_lines(X0,sk1) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl206), inference(resolution, [status(thm)], [p1829, c4])).
% 29.58/4.29 cnf(p3649, plain, (distinct_lines(sk3,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X2,X1) | apart_point_and_line(X2,sk1) | ~spl1 | ~spl206), inference(resolution, [status(thm)], [p1876, p128])).
% 29.58/4.29 cnf(ssp405, plain, (~spl1 | ~spl206 | spl43 | spl173), inference(avatar_split_clause, [status(thm)], [p3649, sdef43, sdef173])).
% 29.58/4.29 cnf(p1871, plain, (distinct_lines(sk3,sk0) | ~spl205), inference(resolution, [status(thm)], [p1827, c1])).
% 29.58/4.29 cnf(p1874, plain, (distinct_lines(sk3,X0) | distinct_lines(sk0,X0) | ~spl205), inference(resolution, [status(thm)], [p1871, c4])).
% 29.58/4.29 cnf(p1888, plain, (distinct_lines(sk0,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl205), inference(resolution, [status(thm)], [p1874, c4])).
% 29.58/4.29 cnf(p3810, plain, (distinct_lines(sk0,X0) | distinct_lines(X0,sk3) | ~spl205), inference(resolution, [status(thm)], [p1888, c1])).
% 29.58/4.29 cnf(p3814, plain, (distinct_lines(X0,sk3) | apart_point_and_line(X1,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | ~spl1 | ~spl205), inference(resolution, [status(thm)], [p3810, p128])).
% 29.58/4.29 cnf(ssp406, plain, (~spl1 | ~spl205 | spl42 | spl171), inference(avatar_split_clause, [status(thm)], [p3814, sdef42, sdef171])).
% 29.58/4.29 cnf(p1875, plain, (distinct_lines(sk3,sk1) | ~spl206), inference(resolution, [status(thm)], [p1829, c1])).
% 29.58/4.29 cnf(p1886, plain, (distinct_lines(sk3,X0) | distinct_lines(sk1,X0) | ~spl206), inference(resolution, [status(thm)], [p1875, c4])).
% 29.58/4.29 cnf(p1890, plain, (distinct_lines(sk1,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl206), inference(resolution, [status(thm)], [p1886, c4])).
% 29.58/4.29 cnf(p3817, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk3) | ~spl206), inference(resolution, [status(thm)], [p1890, c1])).
% 29.58/4.29 cnf(p3821, plain, (distinct_lines(X0,sk3) | apart_point_and_line(X1,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | ~spl1 | ~spl206), inference(resolution, [status(thm)], [p3817, p128])).
% 29.58/4.29 cnf(ssp407, plain, (~spl1 | ~spl206 | spl43 | spl162), inference(avatar_split_clause, [status(thm)], [p3821, sdef43, sdef162])).
% 29.58/4.29 cnf(p1942, plain, (convergent_lines(X0,sk3) | convergent_lines(sk1,X1) | convergent_lines(X0,X1) | ~spl31), inference(resolution, [status(thm)], [p1927, c5])).
% 29.58/4.29 cnf(p3894, plain, (convergent_lines(X0,sk3) | convergent_lines(X0,sk1) | ~spl31), inference(resolution, [status(thm)], [p1942, c2])).
% 29.58/4.29 cnf(p3911, plain, (convergent_lines(sk3,sk1) | ~spl31), inference(resolution, [status(thm)], [p3894, c2])).
% 29.58/4.29 cnf(p3916, plain, (~apart_point_and_line(X0,sk3) | distinct_points(X0,intersection_point(sk3,sk1)) | ~spl31), inference(resolution, [status(thm)], [p3911, c8])).
% 29.58/4.29 cnf(p3923, plain, (distinct_points(X0,intersection_point(sk3,sk1)) | distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | ~spl1 | ~spl31), inference(resolution, [status(thm)], [p3916, p181])).
% 29.58/4.29 cnf(ssp408, plain, (~spl1 | ~spl31 | spl183 | spl201), inference(avatar_split_clause, [status(thm)], [p3923, sdef183, sdef201])).
% 29.58/4.29 cnf(p1957, plain, (distinct_lines(X0,sk3) | distinct_lines(sk1,X1) | distinct_lines(X0,X1) | ~spl31), inference(resolution, [status(thm)], [p1951, c4])).
% 29.58/4.29 cnf(p3941, plain, (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1) | ~spl1 | ~spl31), inference(resolution, [status(thm)], [p1957, p128])).
% 29.58/4.29 cnf(ssp409, plain, (~spl1 | ~spl31 | spl43 | spl167), inference(avatar_split_clause, [status(thm)], [p3941, sdef43, sdef167])).
% 29.58/4.29 cnf(p2287, plain, (distinct_lines(X0,sk3) | distinct_lines(sk1,X1) | distinct_lines(X0,X1) | ~spl36), inference(resolution, [status(thm)], [p2281, c4])).
% 29.58/4.29 cnf(p4080, plain, (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1) | ~spl1 | ~spl36), inference(resolution, [status(thm)], [p2287, p128])).
% 29.58/4.29 cnf(ssp410, plain, (~spl1 | ~spl36 | spl43 | spl167), inference(avatar_split_clause, [status(thm)], [p4080, sdef43, sdef167])).
% 29.58/4.29 cnf(p2320, plain, (distinct_lines(X0,sk3) | distinct_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl39), inference(resolution, [status(thm)], [p2312, c4])).
% 29.58/4.29 cnf(p4106, plain, (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X1) | ~spl1 | ~spl39), inference(resolution, [status(thm)], [p2320, p128])).
% 29.58/4.29 cnf(ssp411, plain, (~spl1 | ~spl39 | spl42 | spl166), inference(avatar_split_clause, [status(thm)], [p4106, sdef42, sdef166])).
% 29.58/4.29 cnf(p2343, plain, (convergent_lines(sk1,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1) | ~spl97), inference(resolution, [status(thm)], [p2332, c5])).
% 29.58/4.29 cnf(p4119, plain, (convergent_lines(sk1,X0) | convergent_lines(X0,sk3) | ~spl97), inference(resolution, [status(thm)], [p2343, c2])).
% 29.58/4.29 cnf(p4132, plain, (convergent_lines(X0,sk3) | distinct_lines(sk1,X0) | ~spl97), inference(resolution, [status(thm)], [p4119, c13])).
% 29.58/4.29 cnf(p4139, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk3) | ~spl97), inference(resolution, [status(thm)], [p4132, c13])).
% 29.58/4.29 cnf(p4149, plain, (distinct_lines(X0,sk3) | apart_point_and_line(X1,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | ~spl1 | ~spl97), inference(resolution, [status(thm)], [p4139, p128])).
% 29.58/4.29 cnf(ssp412, plain, (~spl1 | ~spl97 | spl43 | spl162), inference(avatar_split_clause, [status(thm)], [p4149, sdef43, sdef162])).
% 29.58/4.29 cnf(p2331, plain, (distinct_lines(sk3,sk1) | ~spl97), inference(resolution, [status(thm)], [p2326, c13])).
% 29.58/4.29 cnf(p2340, plain, (distinct_lines(sk3,X0) | distinct_lines(sk1,X0) | ~spl97), inference(resolution, [status(thm)], [p2331, c4])).
% 29.58/4.29 cnf(p2359, plain, (distinct_lines(sk1,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl97), inference(resolution, [status(thm)], [p2340, c4])).
% 29.58/4.29 cnf(p4155, plain, (distinct_lines(sk3,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1) | ~spl1 | ~spl97), inference(resolution, [status(thm)], [p2359, p128])).
% 29.58/4.29 cnf(ssp413, plain, (~spl1 | ~spl97 | spl43 | spl173), inference(avatar_split_clause, [status(thm)], [p4155, sdef43, sdef173])).
% 29.58/4.29 cnf(p2552, plain, (convergent_lines(X0,sk3) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl99), inference(resolution, [status(thm)], [p2537, c5])).
% 29.58/4.29 cnf(p4283, plain, (convergent_lines(X0,sk3) | convergent_lines(X0,sk0) | ~spl99), inference(resolution, [status(thm)], [p2552, c2])).
% 29.58/4.29 cnf(p4300, plain, (convergent_lines(sk3,sk0) | ~spl99), inference(resolution, [status(thm)], [p4283, c2])).
% 29.58/4.29 cnf(p4305, plain, (~apart_point_and_line(X0,sk3) | distinct_points(X0,intersection_point(sk3,sk0)) | ~spl99), inference(resolution, [status(thm)], [p4300, c8])).
% 29.58/4.29 cnf(p4315, plain, (distinct_points(X0,intersection_point(sk3,sk0)) | distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | ~spl1 | ~spl99), inference(resolution, [status(thm)], [p4305, p181])).
% 29.58/4.29 cnf(ssp414, plain, (~spl1 | ~spl99 | spl183 | spl204), inference(avatar_split_clause, [status(thm)], [p4315, sdef183, sdef204])).
% 29.58/4.29 cnf(p2568, plain, (distinct_lines(X0,sk3) | distinct_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl99), inference(resolution, [status(thm)], [p2562, c4])).
% 29.58/4.29 cnf(p4333, plain, (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X1) | ~spl1 | ~spl99), inference(resolution, [status(thm)], [p2568, p128])).
% 29.58/4.29 cnf(ssp415, plain, (~spl1 | ~spl99 | spl42 | spl166), inference(avatar_split_clause, [status(thm)], [p4333, sdef42, sdef166])).
% 29.58/4.29 cnf(p3813, plain, (distinct_lines(X0,sk3) | distinct_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl205), inference(resolution, [status(thm)], [p3810, c4])).
% 29.58/4.29 cnf(p4900, plain, (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X1) | ~spl1 | ~spl205), inference(resolution, [status(thm)], [p3813, p128])).
% 29.58/4.29 cnf(ssp416, plain, (~spl1 | ~spl205 | spl42 | spl166), inference(avatar_split_clause, [status(thm)], [p4900, sdef42, sdef166])).
% 29.58/4.29 cnf(p3820, plain, (distinct_lines(X0,sk3) | distinct_lines(sk1,X1) | distinct_lines(X0,X1) | ~spl206), inference(resolution, [status(thm)], [p3817, c4])).
% 29.58/4.29 cnf(p4922, plain, (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1) | ~spl1 | ~spl206), inference(resolution, [status(thm)], [p3820, p128])).
% 29.58/4.29 cnf(ssp417, plain, (~spl1 | ~spl206 | spl43 | spl167), inference(avatar_split_clause, [status(thm)], [p4922, sdef43, sdef167])).
% 29.58/4.29 cnf(p142, plain, distinct_lines(sk1,X0) | convergent_lines(X0,X1) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p34, c13])).
% 29.58/4.29 cnf(p348, plain, distinct_lines(sk1,X0) | distinct_lines(sk0,X1) | ~apart_point_and_line(X2,X1) | distinct_points(X2,intersection_point(X0,X1)), inference(resolution, [status(thm)], [p142, c9])).
% 29.58/4.29 cnf(p5144, plain, (distinct_lines(sk1,X0) | distinct_lines(sk0,sk3) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk3)) | ~spl1), inference(resolution, [status(thm)], [p348, p18])).
% 29.58/4.29 cnf(ssp418, plain, (~spl1 | spl39 | spl163), inference(avatar_split_clause, [status(thm)], [p5144, sdef39, sdef163])).
% 29.58/4.29 cnf(p5146, plain, (distinct_lines(sk1,X0) | distinct_lines(sk0,sk3) | distinct_points(X1,intersection_point(X0,sk3)) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p348, p125])).
% 29.58/4.29 cnf(ssp419, plain, (~spl1 | spl39 | spl164), inference(avatar_split_clause, [status(thm)], [p5146, sdef39, sdef164])).
% 29.58/4.29 cnf(p4148, plain, (distinct_lines(X0,sk3) | distinct_lines(sk1,X1) | distinct_lines(X0,X1) | ~spl97), inference(resolution, [status(thm)], [p4139, c4])).
% 29.58/4.29 cnf(p5243, plain, (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1) | ~spl1 | ~spl97), inference(resolution, [status(thm)], [p4148, p128])).
% 29.58/4.29 cnf(ssp420, plain, (~spl1 | ~spl97 | spl43 | spl167), inference(avatar_split_clause, [status(thm)], [p5243, sdef43, sdef167])).
% 29.58/4.29 cnf(p61, plain, convergent_lines(sk1,X0) | convergent_lines(X1,X0) | convergent_lines(sk0,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p30, c5])).
% 29.58/4.29 cnf(p386, plain, convergent_lines(sk1,X0) | convergent_lines(sk0,X1) | convergent_lines(X2,X1) | ~apart_point_and_line(X3,X2) | distinct_points(X3,intersection_point(X2,X0)), inference(resolution, [status(thm)], [p61, c8])).
% 29.58/4.29 cnf(p5939, plain, (convergent_lines(sk1,X0) | convergent_lines(sk0,X1) | convergent_lines(sk3,X1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,X0)) | ~spl1), inference(resolution, [status(thm)], [p386, p18])).
% 29.58/4.29 cnf(ssp421, plain, (~spl1 | spl17 | spl99), inference(avatar_split_clause, [status(thm)], [p5939, sdef17, sdef99])).
% 29.58/4.29 cnf(p388, plain, convergent_lines(sk1,X0) | convergent_lines(X1,X0) | convergent_lines(sk0,X2) | ~apart_point_and_line(X3,X1) | distinct_points(X3,intersection_point(X1,X2)), inference(resolution, [status(thm)], [p61, c8])).
% 29.58/4.29 cnf(p5996, plain, (convergent_lines(sk1,X0) | convergent_lines(sk3,X0) | convergent_lines(sk0,X1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,X1)) | ~spl1), inference(resolution, [status(thm)], [p388, p18])).
% 29.58/4.29 cnf(ssp422, plain, (~spl1 | spl25 | spl158), inference(avatar_split_clause, [status(thm)], [p5996, sdef25, sdef158])).
% 29.58/4.29 cnf(p5998, plain, (convergent_lines(sk1,X0) | convergent_lines(sk3,X0) | convergent_lines(sk0,X1) | distinct_points(X2,intersection_point(sk3,X1)) | distinct_points(intersection_point(sk0,sk1),X3) | distinct_points(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p388, p125])).
% 29.58/4.29 cnf(ssp423, plain, (~spl1 | spl25 | spl159), inference(avatar_split_clause, [status(thm)], [p5998, sdef25, sdef159])).
% 29.58/4.29 cnf(p455, plain, convergent_lines(X0,sk1) | distinct_lines(X0,sk0), inference(resolution, [status(thm)], [p236, c2])).
% 29.58/4.29 cnf(p463, plain, distinct_lines(X0,sk0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(X0,sk1)), inference(resolution, [status(thm)], [p455, c8])).
% 29.58/4.29 cnf(p6275, plain, (distinct_lines(sk3,sk0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,sk1)) | ~spl1), inference(resolution, [status(thm)], [p463, p18])).
% 29.58/4.29 cnf(ssp424, plain, (~spl1 | spl5 | spl34), inference(avatar_split_clause, [status(thm)], [p6275, sdef5, sdef34])).
% 29.58/4.29 cnf(p247, plain, convergent_lines(X0,sk0) | convergent_lines(X0,X1) | convergent_lines(sk1,X1), inference(resolution, [status(thm)], [p234, c5])).
% 29.58/4.29 cnf(p468, plain, convergent_lines(X0,sk0) | convergent_lines(sk1,X0), inference(resolution, [status(thm)], [p247, c2])).
% 29.58/4.29 cnf(p480, plain, convergent_lines(sk1,X0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(X0,sk0)), inference(resolution, [status(thm)], [p468, c8])).
% 29.58/4.29 cnf(p6286, plain, (convergent_lines(sk1,sk3) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,sk0)) | ~spl1), inference(resolution, [status(thm)], [p480, p18])).
% 29.58/4.29 cnf(ssp425, plain, (~spl1 | spl31 | spl86), inference(avatar_split_clause, [status(thm)], [p6286, sdef31, sdef86])).
% 29.58/4.29 cnf(p6288, plain, (convergent_lines(sk1,sk3) | distinct_points(X0,intersection_point(sk3,sk0)) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p480, p125])).
% 29.58/4.29 cnf(ssp426, plain, (~spl1 | spl31 | spl169), inference(avatar_split_clause, [status(thm)], [p6288, sdef31, sdef169])).
% 29.58/4.29 cnf(p479, plain, convergent_lines(sk1,X0) | distinct_lines(X0,sk0), inference(resolution, [status(thm)], [p468, c13])).
% 29.58/4.29 cnf(p485, plain, distinct_lines(X0,sk0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(sk1,X0)), inference(resolution, [status(thm)], [p479, c9])).
% 29.58/4.29 cnf(p6321, plain, (distinct_lines(sk3,sk0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk3)) | ~spl1), inference(resolution, [status(thm)], [p485, p18])).
% 29.58/4.29 cnf(ssp427, plain, (~spl1 | spl5 | spl19), inference(avatar_split_clause, [status(thm)], [p6321, sdef5, sdef19])).
% 29.58/4.29 cnf(p62, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(sk1,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p30, c5])).
% 29.58/4.29 cnf(p407, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(sk1,X2) | ~apart_point_and_line(X3,X1) | distinct_points(X3,intersection_point(X1,X2)), inference(resolution, [status(thm)], [p62, c8])).
% 29.58/4.29 cnf(p6472, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk3) | convergent_lines(sk1,X1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,X1)) | ~spl1), inference(resolution, [status(thm)], [p407, p18])).
% 29.58/4.29 cnf(ssp428, plain, (~spl1 | spl17 | spl27), inference(avatar_split_clause, [status(thm)], [p6472, sdef17, sdef27])).
% 29.58/4.29 cnf(p409, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(X2,X1) | ~apart_point_and_line(X3,X2) | distinct_points(X3,intersection_point(X0,X2)), inference(resolution, [status(thm)], [p62, c9])).
% 29.58/4.29 cnf(p6507, plain, (convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(sk3,X1) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk3)) | ~spl1), inference(resolution, [status(thm)], [p409, p18])).
% 29.58/4.29 cnf(ssp429, plain, (~spl1 | spl25 | spl30), inference(avatar_split_clause, [status(thm)], [p6507, sdef25, sdef30])).
% 29.58/4.29 cnf(p2040, plain, (convergent_lines(sk1,X0) | convergent_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3)),X0) | ~spl227), inference(avatar_component_clause, [status(thm)], [sdef227])).
% 29.58/4.29 cnf(p6827, plain, (convergent_lines(sk1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl227), inference(resolution, [status(thm)], [p2040, c2])).
% 29.58/4.29 cnf(p6832, plain, (distinct_lines(sk1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl227), inference(resolution, [status(thm)], [p6827, c13])).
% 29.58/4.29 cnf(p6836, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl1 | ~spl227), inference(resolution, [status(thm)], [p6832, p128])).
% 29.58/4.29 cnf(ssp430, plain, (~spl1 | ~spl227 | spl43 | spl73 | spl244), inference(avatar_split_clause, [status(thm)], [p6836, sdef43, sdef73, sdef244])).
% 29.58/4.29 cnf(p2042, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl228), inference(avatar_component_clause, [status(thm)], [sdef228])).
% 29.58/4.29 cnf(p6840, plain, (convergent_lines(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl228), inference(resolution, [status(thm)], [p2042, c2])).
% 29.58/4.29 cnf(p6854, plain, (distinct_lines(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl228), inference(resolution, [status(thm)], [p6840, c13])).
% 29.58/4.29 cnf(p6859, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl1 | ~spl228), inference(resolution, [status(thm)], [p6854, p128])).
% 29.58/4.29 cnf(ssp431, plain, (~spl1 | ~spl228 | spl42 | spl73 | spl246), inference(avatar_split_clause, [status(thm)], [p6859, sdef42, sdef73, sdef246])).
% 29.58/4.29 cnf(p2059, plain, (convergent_lines(sk2,X0) | convergent_lines(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl237), inference(avatar_component_clause, [status(thm)], [sdef237])).
% 29.58/4.29 cnf(p6885, plain, (convergent_lines(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl237), inference(resolution, [status(thm)], [p2059, c2])).
% 29.58/4.29 cnf(p6890, plain, (distinct_lines(sk2,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl237), inference(resolution, [status(thm)], [p6885, c13])).
% 29.58/4.29 cnf(p6903, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk2,sk3))) | ~spl1 | ~spl237), inference(resolution, [status(thm)], [p6890, p128])).
% 29.58/4.29 cnf(ssp432, plain, (~spl1 | ~spl237 | spl0 | spl73 | spl138), inference(avatar_split_clause, [status(thm)], [p6903, sdef0, sdef73, sdef138])).
% 29.58/4.29 cnf(p1172, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk1) | ~spl112), inference(avatar_component_clause, [status(thm)], [sdef112])).
% 29.58/4.29 cnf(p2624, plain, (apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk2,sk3)) | ~spl112), inference(resolution, [status(thm)], [p1172, p68])).
% 29.58/4.29 cnf(p7152, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | ~spl112), inference(resolution, [status(thm)], [p2624, c0])).
% 29.58/4.29 cnf(ssp433, plain, (~spl112 | spl44 | spl45), inference(avatar_split_clause, [status(thm)], [p7152, sdef44, sdef45])).
% 29.58/4.29 cnf(sat_ref, plain, $false, inference(avatar_sat_refutation, [status(thm)], [ssp0, ssp1, ssp2, ssp3, ssp4, ssp5, ssp6, ssp7, ssp8, ssp9, ssp10, ssp11, ssp12, ssp13, ssp14, ssp15, ssp16, ssp17, ssp18, ssp19, ssp20, ssp21, ssp22, ssp23, ssp24, ssp25, ssp26, ssp27, ssp28, ssp29, ssp30, ssp31, ssp32, ssp33, ssp34, ssp35, ssp36, ssp37, ssp38, ssp39, ssp40, ssp41, ssp42, ssp43, ssp44, ssp45, ssp46, ssp47, ssp48, ssp49, ssp50, ssp51, ssp52, ssp53, ssp54, ssp55, ssp56, ssp57, ssp58, ssp59, ssp60, ssp61, ssp62, ssp63, ssp64, ssp65, ssp66, ssp67, ssp68, ssp69, ssp70, ssp71, ssp72, ssp73, ssp74, ssp75, ssp76, ssp77, ssp78, ssp79, ssp80, ssp81, ssp82, ssp83, ssp84, ssp85, ssp86, ssp87, ssp88, ssp89, ssp90, ssp91, ssp92, ssp93, ssp94, ssp95, ssp96, ssp97, ssp98, ssp99, ssp100, ssp101, ssp102, ssp103, ssp104, ssp105, ssp106, ssp107, ssp108, ssp109, ssp110, ssp111, ssp112, ssp113, ssp114, ssp115, ssp116, ssp117, ssp118, ssp119, ssp120, ssp121, ssp122, ssp123, ssp124, ssp125, ssp126, ssp127, ssp128, ssp129, ssp130, ssp131, ssp132, ssp133, ssp134, ssp135, ssp136, ssp137, ssp138, ssp139, ssp140, ssp141, ssp142, ssp143, ssp144, ssp145, ssp146, ssp147, ssp148, ssp149, ssp150, ssp151, ssp152, ssp153, ssp154, ssp155, ssp156, ssp157, ssp158, ssp159, ssp160, ssp161, ssp162, ssp163, ssp164, ssp165, ssp166, ssp167, ssp168, ssp169, ssp170, ssp171, ssp172, ssp173, ssp174, ssp175, ssp176, ssp177, ssp178, ssp179, ssp180, ssp181, ssp182, ssp183, ssp184, ssp185, ssp186, ssp187, ssp188, ssp189, ssp190, ssp191, ssp192, ssp193, ssp194, ssp195, ssp196, ssp197, ssp198, ssp199, ssp200, ssp201, ssp202, ssp203, ssp204, ssp205, ssp206, ssp207, ssp208, ssp209, ssp210, ssp211, ssp212, ssp213, ssp214, ssp215, ssp216, ssp217, ssp218, ssp219, ssp220, ssp221, ssp222, ssp223, ssp224, ssp225, ssp226, ssp227, ssp228, ssp229, ssp230, ssp231, ssp232, ssp233, ssp234, ssp235, ssp236, ssp237, ssp238, ssp239, ssp240, ssp241, ssp242, ssp243, ssp244, ssp245, ssp246, ssp247, ssp248, ssp249, ssp250, ssp251, ssp252, ssp253, ssp254, ssp255, ssp256, ssp257, ssp258, ssp259, ssp260, ssp261, ssp262, ssp263, ssp264, ssp265, ssp266, ssp267, ssp268, ssp269, ssp270, ssp271, ssp272, ssp273, ssp274, ssp275, ssp276, ssp277, ssp278, ssp279, ssp280, ssp281, ssp282, ssp283, ssp284, ssp285, ssp286, ssp287, ssp288, ssp289, ssp290, ssp291, ssp292, ssp293, ssp294, ssp295, ssp296, ssp297, ssp298, ssp299, ssp300, ssp301, ssp302, ssp303, ssp304, ssp305, ssp306, ssp307, ssp308, ssp309, ssp310, ssp311, ssp312, ssp313, ssp314, ssp315, ssp316, ssp317, ssp318, ssp319, ssp320, ssp321, ssp322, ssp323, ssp324, ssp325, ssp326, ssp327, ssp328, ssp329, ssp330, ssp331, ssp332, ssp333, ssp334, ssp335, ssp336, ssp337, ssp338, ssp339, ssp340, ssp341, ssp342, ssp343, ssp344, ssp345, ssp346, ssp347, ssp348, ssp349, ssp350, ssp351, ssp352, ssp353, ssp354, ssp355, ssp356, ssp357, ssp358, ssp359, ssp360, ssp361, ssp362, ssp363, ssp364, ssp365, ssp366, ssp367, ssp368, ssp369, ssp370, ssp371, ssp372, ssp373, ssp374, ssp375, ssp376, ssp377, ssp378, ssp379, ssp380, ssp381, ssp382, ssp383, ssp384, ssp385, ssp386, ssp387, ssp388, ssp389, ssp390, ssp391, ssp392, ssp393, ssp394, ssp395, ssp396, ssp397, ssp398, ssp399, ssp400, ssp401, ssp402, ssp403, ssp404, ssp405, ssp406, ssp407, ssp408, ssp409, ssp410, ssp411, ssp412, ssp413, ssp414, ssp415, ssp416, ssp417, ssp418, ssp419, ssp420, ssp421, ssp422, ssp423, ssp424, ssp425, ssp426, ssp427, ssp428, ssp429, ssp430, ssp431, ssp432, ssp433, sct0, sct1, sct2, sct3, sct4, sct5, sct6, sct7, sct8, sct9, sct10, sct11, sct12, sct13, sct14, sct15, sct16, sct17])).
% 29.58/4.29 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------