%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO196+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 : n020.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 01:17:25 PM UTC 2026
% Result : Theorem 28.97s 4.11s
% Output : Proof 28.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO196+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.03/0.36 % CPULimit : 300
% 0.03/0.36 % WCLimit : 300
% 0.03/0.36 % DateTime : Wed Sep 23 11:25:33 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 28.97/4.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.97/4.11 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.97/4.11 fof(sdef3, definition, (spl3 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk3)))), introduced(definition, [new_symbols(naming, [spl3])], [avatar_definition])).
% 28.97/4.11 cnf(p133, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk3)) | ~spl3), inference(avatar_component_clause, [status(thm)], [sdef3])).
% 28.97/4.11 fof(f0, axiom, ! [X] : ~ distinct_points(X,X), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart1)).
% 28.97/4.11 fof(f0_nnf, plain, ! [X] : (~(distinct_points(X,X))), inference(nnf_transformation, [status(thm)], [f0])).
% 28.97/4.11 fof(f0_sk, plain, ! [X] : (~(distinct_points(X,X))), inference(skolemisation, [status(esa)], [f0_nnf])).
% 28.97/4.11 cnf(c0, plain, ~distinct_points(X0,X0), inference(cnf_transformation, [status(esa)], [f0_sk])).
% 28.97/4.11 cnf(p140, plain, ($false | ~spl3), inference(resolution, [status(thm)], [p133, c0])).
% 28.97/4.11 cnf(sct0, plain, (~spl3), inference(avatar_contradiction_clause, [status(thm)], [p140])).
% 28.97/4.11 fof(sdef12, definition, (spl12 <=> (convergent_lines(sk0,sk0))), introduced(definition, [new_symbols(naming, [spl12])], [avatar_definition])).
% 28.97/4.11 cnf(p497, plain, (convergent_lines(sk0,sk0) | ~spl12), inference(avatar_component_clause, [status(thm)], [sdef12])).
% 28.97/4.11 fof(f2, axiom, ! [X] : ~ convergent_lines(X,X), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart3)).
% 28.97/4.11 fof(f2_nnf, plain, ! [X] : (~(convergent_lines(X,X))), inference(nnf_transformation, [status(thm)], [f2])).
% 28.97/4.11 fof(f2_sk, plain, ! [X] : (~(convergent_lines(X,X))), inference(skolemisation, [status(esa)], [f2_nnf])).
% 28.97/4.11 cnf(c2, plain, ~convergent_lines(X0,X0), inference(cnf_transformation, [status(esa)], [f2_sk])).
% 28.97/4.11 cnf(p500, plain, ($false | ~spl12), inference(resolution, [status(thm)], [p497, c2])).
% 28.97/4.11 cnf(sct1, plain, (~spl12), inference(avatar_contradiction_clause, [status(thm)], [p500])).
% 28.97/4.11 fof(sdef9, definition, (spl9 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X0)) | distinct_lines(sk3,X0))), introduced(definition, [new_symbols(naming, [spl9])], [avatar_definition])).
% 28.97/4.11 cnf(p346, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X0)) | distinct_lines(sk3,X0) | ~spl9), inference(avatar_component_clause, [status(thm)], [sdef9])).
% 28.97/4.11 cnf(p627, plain, (distinct_lines(sk3,sk3) | ~spl9), inference(resolution, [status(thm)], [p346, c0])).
% 28.97/4.11 fof(f1, axiom, ! [X] : ~ distinct_lines(X,X), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart2)).
% 28.97/4.11 fof(f1_nnf, plain, ! [X] : (~(distinct_lines(X,X))), inference(nnf_transformation, [status(thm)], [f1])).
% 28.97/4.11 fof(f1_sk, plain, ! [X] : (~(distinct_lines(X,X))), inference(skolemisation, [status(esa)], [f1_nnf])).
% 28.97/4.11 cnf(c1, plain, ~distinct_lines(X0,X0), inference(cnf_transformation, [status(esa)], [f1_sk])).
% 28.97/4.11 cnf(p632, plain, ($false | ~spl9), inference(resolution, [status(thm)], [p627, c1])).
% 28.97/4.11 cnf(sct2, plain, (~spl9), inference(avatar_contradiction_clause, [status(thm)], [p632])).
% 28.97/4.11 fof(sdef20, definition, (spl20 <=> (apart_point_and_line(intersection_point(sk0,sk1),sk2))), introduced(definition, [new_symbols(naming, [spl20])], [avatar_definition])).
% 28.97/4.11 cnf(p740, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | ~spl20), inference(avatar_component_clause, [status(thm)], [sdef20])).
% 28.97/4.11 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)).
% 28.97/4.11 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])).
% 28.97/4.11 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])).
% 28.97/4.11 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])).
% 28.97/4.11 cnf(c16, plain, ~apart_point_and_line(intersection_point(sk0,sk1),sk2), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 28.97/4.11 cnf(p987, plain, ($false | ~spl20), inference(resolution, [status(thm)], [p740, c16])).
% 28.97/4.11 cnf(sct3, plain, (~spl20), inference(avatar_contradiction_clause, [status(thm)], [p987])).
% 28.97/4.11 fof(sdef21, definition, (spl21 <=> (apart_point_and_line(intersection_point(sk0,sk1),sk3))), introduced(definition, [new_symbols(naming, [spl21])], [avatar_definition])).
% 28.97/4.11 cnf(p741, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | ~spl21), inference(avatar_component_clause, [status(thm)], [sdef21])).
% 28.97/4.11 cnf(c17, plain, ~apart_point_and_line(intersection_point(sk0,sk1),sk3), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 28.97/4.11 cnf(p988, plain, ($false | ~spl21), inference(resolution, [status(thm)], [p741, c17])).
% 28.97/4.11 cnf(sct4, plain, (~spl21), inference(avatar_contradiction_clause, [status(thm)], [p988])).
% 28.97/4.11 fof(sdef90, definition, (spl90 <=> (convergent_lines(sk1,sk1))), introduced(definition, [new_symbols(naming, [spl90])], [avatar_definition])).
% 28.97/4.11 cnf(p1001, plain, (convergent_lines(sk1,sk1) | ~spl90), inference(avatar_component_clause, [status(thm)], [sdef90])).
% 28.97/4.11 cnf(p1004, plain, ($false | ~spl90), inference(resolution, [status(thm)], [p1001, c2])).
% 28.97/4.11 cnf(sct5, plain, (~spl90), inference(avatar_contradiction_clause, [status(thm)], [p1004])).
% 28.97/4.11 fof(sdef18, definition, (spl18 <=> (apart_point_and_line(intersection_point(sk2,sk3),sk2))), introduced(definition, [new_symbols(naming, [spl18])], [avatar_definition])).
% 28.97/4.11 cnf(p738, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | ~spl18), inference(avatar_component_clause, [status(thm)], [sdef18])).
% 28.97/4.11 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)).
% 28.97/4.11 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])).
% 28.97/4.11 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])).
% 28.97/4.11 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])).
% 28.97/4.11 cnf(c15, plain, convergent_lines(sk2,sk3), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 28.97/4.11 cnf(p48, plain, ~apart_point_and_line(X0,sk2) | distinct_points(X0,intersection_point(sk2,sk3)), inference(resolution, [status(thm)], [c8, c15])).
% 28.97/4.11 cnf(p856, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk3)) | ~spl18), inference(resolution, [status(thm)], [p738, p48])).
% 28.97/4.11 cnf(p1008, plain, ($false | ~spl18), inference(resolution, [status(thm)], [p856, c0])).
% 28.97/4.11 cnf(sct6, plain, (~spl18), inference(avatar_contradiction_clause, [status(thm)], [p1008])).
% 28.97/4.11 fof(sdef100, definition, (spl100 <=> (convergent_lines(sk3,sk3))), introduced(definition, [new_symbols(naming, [spl100])], [avatar_definition])).
% 28.97/4.11 cnf(p1084, plain, (convergent_lines(sk3,sk3) | ~spl100), inference(avatar_component_clause, [status(thm)], [sdef100])).
% 28.97/4.11 cnf(p1091, plain, ($false | ~spl100), inference(resolution, [status(thm)], [p1084, c2])).
% 28.97/4.11 cnf(sct7, plain, (~spl100), inference(avatar_contradiction_clause, [status(thm)], [p1091])).
% 28.97/4.11 fof(sdef19, definition, (spl19 <=> (apart_point_and_line(intersection_point(sk2,sk3),sk3))), introduced(definition, [new_symbols(naming, [spl19])], [avatar_definition])).
% 28.97/4.11 cnf(p739, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk3) | ~spl19), inference(avatar_component_clause, [status(thm)], [sdef19])).
% 28.97/4.11 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])).
% 28.97/4.11 cnf(p68, plain, ~apart_point_and_line(X0,sk3) | distinct_points(X0,intersection_point(sk2,sk3)), inference(resolution, [status(thm)], [c9, c15])).
% 28.97/4.11 cnf(p928, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk3)) | ~spl19), inference(resolution, [status(thm)], [p739, p68])).
% 28.97/4.11 cnf(p1100, plain, ($false | ~spl19), inference(resolution, [status(thm)], [p928, c0])).
% 28.97/4.11 cnf(sct8, plain, (~spl19), inference(avatar_contradiction_clause, [status(thm)], [p1100])).
% 28.97/4.11 fof(sdef184, definition, (spl184 <=> (distinct_lines(sk1,sk1))), introduced(definition, [new_symbols(naming, [spl184])], [avatar_definition])).
% 28.97/4.11 cnf(p1680, plain, (distinct_lines(sk1,sk1) | ~spl184), inference(avatar_component_clause, [status(thm)], [sdef184])).
% 28.97/4.11 cnf(p1761, plain, ($false | ~spl184), inference(resolution, [status(thm)], [p1680, c1])).
% 28.97/4.11 cnf(sct9, plain, (~spl184), inference(avatar_contradiction_clause, [status(thm)], [p1761])).
% 28.97/4.11 fof(sdef89, definition, (spl89 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk1)) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl89])], [avatar_definition])).
% 28.97/4.11 cnf(p1000, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk1)) | convergent_lines(sk0,X0) | ~spl89), inference(avatar_component_clause, [status(thm)], [sdef89])).
% 28.97/4.11 cnf(p2235, plain, (convergent_lines(sk0,sk0) | ~spl89), inference(resolution, [status(thm)], [p1000, c0])).
% 28.97/4.11 cnf(p2240, plain, ($false | ~spl89), inference(resolution, [status(thm)], [p2235, c2])).
% 28.97/4.11 cnf(sct10, plain, (~spl89), inference(avatar_contradiction_clause, [status(thm)], [p2240])).
% 28.97/4.11 fof(sdef99, definition, (spl99 <=> (convergent_lines(sk2,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk3)))), introduced(definition, [new_symbols(naming, [spl99])], [avatar_definition])).
% 28.97/4.11 cnf(p1083, plain, (convergent_lines(sk2,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk3)) | ~spl99), inference(avatar_component_clause, [status(thm)], [sdef99])).
% 28.97/4.11 cnf(p2393, plain, (convergent_lines(sk2,sk2) | ~spl99), inference(resolution, [status(thm)], [p1083, c0])).
% 28.97/4.11 cnf(p2398, plain, ($false | ~spl99), inference(resolution, [status(thm)], [p2393, c2])).
% 28.97/4.11 cnf(sct11, plain, (~spl99), inference(avatar_contradiction_clause, [status(thm)], [p2398])).
% 28.97/4.11 fof(sdef102, definition, (spl102 <=> (convergent_lines(X0,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X0)))), introduced(definition, [new_symbols(naming, [spl102])], [avatar_definition])).
% 28.97/4.11 cnf(p1094, plain, (convergent_lines(X0,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X0)) | ~spl102), inference(avatar_component_clause, [status(thm)], [sdef102])).
% 28.97/4.11 cnf(p2463, plain, (convergent_lines(sk3,sk3) | ~spl102), inference(resolution, [status(thm)], [p1094, c0])).
% 28.97/4.11 cnf(p2468, plain, ($false | ~spl102), inference(resolution, [status(thm)], [p2463, c2])).
% 28.97/4.11 cnf(sct12, plain, (~spl102), inference(avatar_contradiction_clause, [status(thm)], [p2468])).
% 28.97/4.11 fof(sdef106, definition, (spl106 <=> (distinct_lines(sk2,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk3)))), introduced(definition, [new_symbols(naming, [spl106])], [avatar_definition])).
% 28.97/4.11 cnf(p1174, plain, (distinct_lines(sk2,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk3)) | ~spl106), inference(avatar_component_clause, [status(thm)], [sdef106])).
% 28.97/4.11 cnf(p2641, plain, (distinct_lines(sk2,sk2) | ~spl106), inference(resolution, [status(thm)], [p1174, c0])).
% 28.97/4.11 cnf(p2646, plain, ($false | ~spl106), inference(resolution, [status(thm)], [p2641, c1])).
% 28.97/4.11 cnf(sct13, plain, (~spl106), inference(avatar_contradiction_clause, [status(thm)], [p2646])).
% 28.97/4.11 fof(sdef107, definition, (spl107 <=> (distinct_lines(X0,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X0)))), introduced(definition, [new_symbols(naming, [spl107])], [avatar_definition])).
% 28.97/4.11 cnf(p1179, plain, (distinct_lines(X0,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X0)) | ~spl107), inference(avatar_component_clause, [status(thm)], [sdef107])).
% 28.97/4.11 cnf(p2653, plain, (distinct_lines(sk3,sk3) | ~spl107), inference(resolution, [status(thm)], [p1179, c0])).
% 28.97/4.11 cnf(p2658, plain, ($false | ~spl107), inference(resolution, [status(thm)], [p2653, c1])).
% 28.97/4.11 cnf(sct14, plain, (~spl107), inference(avatar_contradiction_clause, [status(thm)], [p2658])).
% 28.97/4.11 cnf(c18, plain, apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),sk1), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 28.97/4.11 fof(sdef0, definition, (spl0 <=> (apart_point_and_line(intersection_point(sk2,sk3),sk0))), introduced(definition, [new_symbols(naming, [spl0])], [avatar_definition])).
% 28.97/4.11 fof(sdef1, definition, (spl1 <=> (apart_point_and_line(intersection_point(sk2,sk3),sk1))), introduced(definition, [new_symbols(naming, [spl1])], [avatar_definition])).
% 28.97/4.11 cnf(ssp0, plain, (spl0 | spl1), inference(avatar_split_clause, [status(thm)], [c18, sdef0, sdef1])).
% 28.97/4.11 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)).
% 28.97/4.11 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])).
% 28.97/4.11 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])).
% 28.97/4.11 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])).
% 28.97/4.11 cnf(p19, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk0) | ~spl0), inference(avatar_component_clause, [status(thm)], [sdef0])).
% 28.97/4.11 cnf(p129, plain, (distinct_lines(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | ~spl0), inference(resolution, [status(thm)], [c12, p19])).
% 28.97/4.11 cnf(p131, plain, (distinct_lines(sk0,sk2) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk3)) | ~spl0), inference(resolution, [status(thm)], [p129, p48])).
% 28.97/4.11 fof(sdef2, definition, (spl2 <=> (distinct_lines(sk0,sk2))), introduced(definition, [new_symbols(naming, [spl2])], [avatar_definition])).
% 28.97/4.11 cnf(ssp1, plain, (~spl0 | spl2 | spl3), inference(avatar_split_clause, [status(thm)], [p131, sdef2, sdef3])).
% 28.97/4.11 cnf(p134, plain, (distinct_lines(sk0,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk3)) | ~spl0), inference(resolution, [status(thm)], [p129, p68])).
% 28.97/4.11 fof(sdef4, definition, (spl4 <=> (distinct_lines(sk0,sk3))), introduced(definition, [new_symbols(naming, [spl4])], [avatar_definition])).
% 28.97/4.11 cnf(ssp2, plain, (~spl0 | spl3 | spl4), inference(avatar_split_clause, [status(thm)], [p134, sdef3, sdef4])).
% 28.97/4.11 cnf(p20, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | ~spl1), inference(avatar_component_clause, [status(thm)], [sdef1])).
% 28.97/4.11 cnf(p130, plain, (distinct_lines(sk1,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | ~spl1), inference(resolution, [status(thm)], [c12, p20])).
% 28.97/4.11 cnf(p171, plain, (distinct_lines(sk1,sk2) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk3)) | ~spl1), inference(resolution, [status(thm)], [p130, p48])).
% 28.97/4.11 fof(sdef5, definition, (spl5 <=> (distinct_lines(sk1,sk2))), introduced(definition, [new_symbols(naming, [spl5])], [avatar_definition])).
% 28.97/4.11 cnf(ssp3, plain, (~spl1 | spl3 | spl5), inference(avatar_split_clause, [status(thm)], [p171, sdef3, sdef5])).
% 28.97/4.11 cnf(p173, plain, (distinct_lines(sk1,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk3)) | ~spl1), inference(resolution, [status(thm)], [p130, p68])).
% 28.97/4.11 fof(sdef6, definition, (spl6 <=> (distinct_lines(sk1,sk3))), introduced(definition, [new_symbols(naming, [spl6])], [avatar_definition])).
% 28.97/4.11 cnf(ssp4, plain, (~spl1 | spl3 | spl6), inference(avatar_split_clause, [status(thm)], [p173, sdef3, sdef6])).
% 28.97/4.11 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)).
% 28.97/4.11 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])).
% 28.97/4.11 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])).
% 28.97/4.11 cnf(c5, plain, ~convergent_lines(X0,X1) | convergent_lines(X0,X2) | convergent_lines(X1,X2), inference(cnf_transformation, [status(esa)], [f5_sk])).
% 28.97/4.11 cnf(p26, plain, convergent_lines(sk2,X0) | convergent_lines(sk3,X0), inference(resolution, [status(thm)], [c5, c15])).
% 28.97/4.11 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])).
% 28.97/4.11 cnf(p304, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,X0)) | convergent_lines(sk2,X0) | distinct_lines(sk0,sk3) | ~spl0), inference(resolution, [status(thm)], [p50, p129])).
% 28.97/4.11 fof(sdef7, definition, (spl7 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,X0)) | convergent_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl7])], [avatar_definition])).
% 28.97/4.11 cnf(ssp5, plain, (~spl0 | spl4 | spl7), inference(avatar_split_clause, [status(thm)], [p304, sdef4, sdef7])).
% 28.97/4.11 cnf(p306, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,X0)) | convergent_lines(sk2,X0) | distinct_lines(sk1,sk3) | ~spl1), inference(resolution, [status(thm)], [p50, p130])).
% 28.97/4.11 cnf(ssp6, plain, (~spl1 | spl6 | spl7), inference(avatar_split_clause, [status(thm)], [p306, sdef6, sdef7])).
% 28.97/4.11 cnf(p32, plain, convergent_lines(sk2,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p26, c5])).
% 28.97/4.11 cnf(p94, plain, convergent_lines(sk2,X0) | convergent_lines(X0,sk3), inference(resolution, [status(thm)], [p32, c2])).
% 28.97/4.11 cnf(p109, plain, convergent_lines(X0,sk3) | convergent_lines(sk2,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p94, c5])).
% 28.97/4.11 cnf(p307, plain, convergent_lines(X0,sk3) | convergent_lines(X0,sk2), inference(resolution, [status(thm)], [p109, c2])).
% 28.97/4.11 cnf(p318, plain, convergent_lines(sk3,sk2), inference(resolution, [status(thm)], [p307, c2])).
% 28.97/4.11 cnf(p323, plain, ~apart_point_and_line(X0,sk3) | distinct_points(X0,intersection_point(sk3,sk2)), inference(resolution, [status(thm)], [p318, c8])).
% 28.97/4.11 cnf(p328, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,sk2)) | distinct_lines(sk0,sk3) | ~spl0), inference(resolution, [status(thm)], [p323, p129])).
% 28.97/4.11 fof(sdef8, definition, (spl8 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,sk2)))), introduced(definition, [new_symbols(naming, [spl8])], [avatar_definition])).
% 28.97/4.11 cnf(ssp7, plain, (~spl0 | spl4 | spl8), inference(avatar_split_clause, [status(thm)], [p328, sdef4, sdef8])).
% 28.97/4.11 cnf(p330, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,sk2)) | distinct_lines(sk1,sk3) | ~spl1), inference(resolution, [status(thm)], [p323, p130])).
% 28.97/4.11 cnf(ssp8, plain, (~spl1 | spl6 | spl8), inference(avatar_split_clause, [status(thm)], [p330, sdef6, sdef8])).
% 28.97/4.11 cnf(p324, plain, ~apart_point_and_line(X0,sk2) | distinct_points(X0,intersection_point(sk3,sk2)), inference(resolution, [status(thm)], [p318, c9])).
% 28.97/4.11 cnf(p335, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,sk2)) | distinct_lines(sk0,sk2) | ~spl0), inference(resolution, [status(thm)], [p324, p129])).
% 28.97/4.11 cnf(ssp9, plain, (~spl0 | spl2 | spl8), inference(avatar_split_clause, [status(thm)], [p335, sdef2, sdef8])).
% 28.97/4.11 cnf(p336, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,sk2)) | distinct_lines(sk1,sk2) | ~spl1), inference(resolution, [status(thm)], [p324, p130])).
% 28.97/4.11 cnf(ssp10, plain, (~spl1 | spl5 | spl8), inference(avatar_split_clause, [status(thm)], [p336, sdef5, sdef8])).
% 28.97/4.11 fof(f11, axiom, ! [X,Y] : ( convergent_lines(X,Y) => distinct_lines(X,Y) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ceq3)).
% 28.97/4.11 fof(f11_nnf, plain, ! [X,Y] : ((~(convergent_lines(X,Y)) | distinct_lines(X,Y))), inference(nnf_transformation, [status(thm)], [f11])).
% 28.97/4.11 fof(f11_sk, plain, ! [X,Y] : ((~(convergent_lines(X,Y)) | distinct_lines(X,Y))), inference(skolemisation, [status(esa)], [f11_nnf])).
% 28.97/4.11 cnf(c13, plain, ~convergent_lines(X0,X1) | distinct_lines(X0,X1), inference(cnf_transformation, [status(esa)], [f11_sk])).
% 28.97/4.11 cnf(p31, plain, convergent_lines(sk2,X0) | distinct_lines(sk3,X0), inference(resolution, [status(thm)], [p26, c13])).
% 28.97/4.11 cnf(p52, plain, ~apart_point_and_line(X0,sk2) | distinct_points(X0,intersection_point(sk2,X1)) | distinct_lines(sk3,X1), inference(resolution, [status(thm)], [c8, p31])).
% 28.97/4.11 cnf(p345, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X0)) | distinct_lines(sk3,X0) | distinct_lines(sk0,sk2) | ~spl0), inference(resolution, [status(thm)], [p52, p129])).
% 28.97/4.11 cnf(ssp11, plain, (~spl0 | spl2 | spl9), inference(avatar_split_clause, [status(thm)], [p345, sdef2, sdef9])).
% 28.97/4.11 cnf(p347, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X0)) | distinct_lines(sk3,X0) | distinct_lines(sk1,sk2) | ~spl1), inference(resolution, [status(thm)], [p52, p130])).
% 28.97/4.11 cnf(ssp12, plain, (~spl1 | spl5 | spl9), inference(avatar_split_clause, [status(thm)], [p347, sdef5, sdef9])).
% 28.97/4.11 cnf(c14, plain, convergent_lines(sk0,sk1), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 28.97/4.11 cnf(p47, plain, ~apart_point_and_line(X0,sk0) | distinct_points(X0,intersection_point(sk0,sk1)), inference(resolution, [status(thm)], [c8, c14])).
% 28.97/4.11 cnf(p53, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk1)) | ~spl0), inference(resolution, [status(thm)], [p47, p19])).
% 28.97/4.11 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)).
% 28.97/4.11 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])).
% 28.97/4.11 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])).
% 28.97/4.11 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])).
% 28.97/4.11 cnf(p55, plain, (~apart_point_and_line(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | distinct_points(X0,intersection_point(sk2,sk3)) | ~spl0), inference(resolution, [status(thm)], [p53, c6])).
% 28.97/4.11 cnf(p361, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk3)) | distinct_lines(sk0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl0), inference(resolution, [status(thm)], [p55, p129])).
% 28.97/4.11 fof(sdef10, definition, (spl10 <=> (distinct_lines(sk0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))))), introduced(definition, [new_symbols(naming, [spl10])], [avatar_definition])).
% 28.97/4.11 cnf(ssp13, plain, (~spl0 | spl3 | spl10), inference(avatar_split_clause, [status(thm)], [p361, sdef3, sdef10])).
% 28.97/4.11 cnf(p363, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk3)) | distinct_lines(sk1,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl0 | ~spl1), inference(resolution, [status(thm)], [p55, p130])).
% 28.97/4.11 fof(sdef11, definition, (spl11 <=> (distinct_lines(sk1,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))))), introduced(definition, [new_symbols(naming, [spl11])], [avatar_definition])).
% 28.97/4.11 cnf(ssp14, plain, (~spl0 | ~spl1 | spl3 | spl11), inference(avatar_split_clause, [status(thm)], [p363, sdef3, sdef11])).
% 28.97/4.11 cnf(p25, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X0), inference(resolution, [status(thm)], [c5, c14])).
% 28.97/4.11 cnf(p30, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p25, c5])).
% 28.97/4.11 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])).
% 28.97/4.11 cnf(p496, plain, (convergent_lines(sk0,sk0) | convergent_lines(sk1,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,X0)) | ~spl0), inference(resolution, [status(thm)], [p66, p19])).
% 28.97/4.11 fof(sdef13, definition, (spl13 <=> (convergent_lines(sk1,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,X0)))), introduced(definition, [new_symbols(naming, [spl13])], [avatar_definition])).
% 28.97/4.11 cnf(ssp15, plain, (~spl0 | spl12 | spl13), inference(avatar_split_clause, [status(thm)], [p496, sdef12, sdef13])).
% 28.97/4.11 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])).
% 28.97/4.11 cnf(p526, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,sk0)) | convergent_lines(sk2,sk0) | ~spl0), inference(resolution, [status(thm)], [p70, p19])).
% 28.97/4.11 fof(sdef14, definition, (spl14 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,sk0)))), introduced(definition, [new_symbols(naming, [spl14])], [avatar_definition])).
% 28.97/4.11 fof(sdef15, definition, (spl15 <=> (convergent_lines(sk2,sk0))), introduced(definition, [new_symbols(naming, [spl15])], [avatar_definition])).
% 28.97/4.11 cnf(ssp16, plain, (~spl0 | spl14 | spl15), inference(avatar_split_clause, [status(thm)], [p526, sdef14, sdef15])).
% 28.97/4.11 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])).
% 28.97/4.11 cnf(p551, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk0)) | distinct_lines(sk3,sk0) | ~spl0), inference(resolution, [status(thm)], [p72, p19])).
% 28.97/4.11 fof(sdef16, definition, (spl16 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk0)))), introduced(definition, [new_symbols(naming, [spl16])], [avatar_definition])).
% 28.97/4.11 fof(sdef17, definition, (spl17 <=> (distinct_lines(sk3,sk0))), introduced(definition, [new_symbols(naming, [spl17])], [avatar_definition])).
% 28.97/4.11 cnf(ssp17, plain, (~spl0 | spl16 | spl17), inference(avatar_split_clause, [status(thm)], [p551, sdef16, sdef17])).
% 28.97/4.11 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)).
% 28.97/4.11 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])).
% 28.97/4.11 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])).
% 28.97/4.11 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])).
% 28.97/4.11 cnf(p89, plain, (~distinct_lines(X0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | ~spl0), inference(resolution, [status(thm)], [c10, p53])).
% 28.97/4.11 cnf(p22, plain, distinct_lines(sk2,sk3), inference(resolution, [status(thm)], [c13, c15])).
% 28.97/4.11 cnf(p737, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | ~spl0), inference(resolution, [status(thm)], [p89, p22])).
% 28.97/4.11 cnf(ssp18, plain, (~spl0 | spl18 | spl19 | spl20 | spl21), inference(avatar_split_clause, [status(thm)], [p737, sdef18, sdef19, sdef20, sdef21])).
% 28.97/4.11 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)).
% 28.97/4.11 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])).
% 28.97/4.11 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])).
% 28.97/4.11 cnf(c4, plain, ~distinct_lines(X0,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(cnf_transformation, [status(esa)], [f4_sk])).
% 28.97/4.11 cnf(p24, plain, distinct_lines(sk2,X0) | distinct_lines(sk3,X0), inference(resolution, [status(thm)], [c4, p22])).
% 28.97/4.11 cnf(p742, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk2,X0) | ~spl0), inference(resolution, [status(thm)], [p89, p24])).
% 28.97/4.11 fof(sdef22, definition, (spl22 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl22])], [avatar_definition])).
% 28.97/4.11 cnf(ssp19, plain, (~spl0 | spl19 | spl21 | spl22), inference(avatar_split_clause, [status(thm)], [p742, sdef19, sdef21, sdef22])).
% 28.97/4.11 cnf(p28, plain, distinct_lines(sk2,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p24, c4])).
% 28.97/4.11 cnf(p744, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p28])).
% 28.97/4.11 fof(sdef23, definition, (spl23 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl23])], [avatar_definition])).
% 28.97/4.11 cnf(ssp20, plain, (~spl0 | spl18 | spl20 | spl23), inference(avatar_split_clause, [status(thm)], [p744, sdef18, sdef20, sdef23])).
% 28.97/4.11 cnf(p746, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p89, p28])).
% 28.97/4.11 fof(sdef24, definition, (spl24 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl24])], [avatar_definition])).
% 28.97/4.11 cnf(ssp21, plain, (~spl0 | spl19 | spl21 | spl24), inference(avatar_split_clause, [status(thm)], [p746, sdef19, sdef21, sdef24])).
% 28.97/4.11 cnf(p748, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X0) | distinct_lines(sk3,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p28])).
% 28.97/4.11 fof(sdef25, definition, (spl25 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk3,X0))), introduced(definition, [new_symbols(naming, [spl25])], [avatar_definition])).
% 28.97/4.11 cnf(ssp22, plain, (~spl0 | spl22 | spl25), inference(avatar_split_clause, [status(thm)], [p748, sdef22, sdef25])).
% 28.97/4.11 cnf(p42, plain, distinct_lines(sk2,X0) | distinct_lines(X0,sk3), inference(resolution, [status(thm)], [p28, c1])).
% 28.97/4.11 cnf(p750, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X0,sk3) | ~spl0), inference(resolution, [status(thm)], [p89, p42])).
% 28.97/4.11 fof(sdef26, definition, (spl26 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X0,sk3))), introduced(definition, [new_symbols(naming, [spl26])], [avatar_definition])).
% 28.97/4.11 cnf(ssp23, plain, (~spl0 | spl18 | spl20 | spl26), inference(avatar_split_clause, [status(thm)], [p750, sdef18, sdef20, sdef26])).
% 28.97/4.11 cnf(p29, plain, convergent_lines(sk0,X0) | distinct_lines(sk1,X0), inference(resolution, [status(thm)], [p25, c13])).
% 28.97/4.11 cnf(p34, plain, distinct_lines(sk1,X0) | convergent_lines(sk0,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p29, c5])).
% 28.97/4.11 cnf(p141, plain, distinct_lines(sk1,X0) | convergent_lines(X0,sk0), inference(resolution, [status(thm)], [p34, c2])).
% 28.97/4.11 cnf(p152, plain, distinct_lines(sk1,X0) | distinct_lines(X0,sk0), inference(resolution, [status(thm)], [p141, c13])).
% 28.97/4.11 cnf(p752, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X0,sk0) | ~spl0), inference(resolution, [status(thm)], [p89, p152])).
% 28.97/4.11 fof(sdef27, definition, (spl27 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X0,sk0))), introduced(definition, [new_symbols(naming, [spl27])], [avatar_definition])).
% 28.97/4.11 fof(sdef28, definition, (spl28 <=> (apart_point_and_line(intersection_point(sk0,sk1),sk1))), introduced(definition, [new_symbols(naming, [spl28])], [avatar_definition])).
% 28.97/4.11 cnf(ssp24, plain, (~spl0 | spl1 | spl27 | spl28), inference(avatar_split_clause, [status(thm)], [p752, sdef1, sdef27, sdef28])).
% 28.97/4.11 cnf(p36, plain, distinct_lines(sk3,X0) | convergent_lines(sk2,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p31, c5])).
% 28.97/4.11 cnf(p157, plain, distinct_lines(sk3,X0) | convergent_lines(X0,sk2), inference(resolution, [status(thm)], [p36, c2])).
% 28.97/4.11 cnf(p166, plain, distinct_lines(sk3,X0) | distinct_lines(X0,sk2), inference(resolution, [status(thm)], [p157, c13])).
% 28.97/4.11 cnf(p755, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X0,sk2) | ~spl0), inference(resolution, [status(thm)], [p89, p166])).
% 28.97/4.11 fof(sdef29, definition, (spl29 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl29])], [avatar_definition])).
% 28.97/4.11 cnf(ssp25, plain, (~spl0 | spl19 | spl21 | spl29), inference(avatar_split_clause, [status(thm)], [p755, sdef19, sdef21, sdef29])).
% 28.97/4.11 cnf(p757, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | distinct_lines(sk3,X0) | ~spl0), inference(resolution, [status(thm)], [p89, p166])).
% 28.97/4.11 cnf(ssp26, plain, (~spl0 | spl18 | spl20 | spl25), inference(avatar_split_clause, [status(thm)], [p757, sdef18, sdef20, sdef25])).
% 28.97/4.11 cnf(p172, plain, (distinct_lines(sk1,sk2) | ~spl5), inference(avatar_component_clause, [status(thm)], [sdef5])).
% 28.97/4.11 cnf(p758, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | ~spl0 | ~spl5), inference(resolution, [status(thm)], [p89, p172])).
% 28.97/4.11 cnf(ssp27, plain, (~spl0 | ~spl5 | spl1 | spl18 | spl20 | spl28), inference(avatar_split_clause, [status(thm)], [p758, sdef1, sdef18, sdef20, sdef28])).
% 28.97/4.11 cnf(p21, plain, distinct_lines(sk0,sk1), inference(resolution, [status(thm)], [c13, c14])).
% 28.97/4.11 cnf(p23, plain, distinct_lines(sk0,X0) | distinct_lines(sk1,X0), inference(resolution, [status(thm)], [c4, p21])).
% 28.97/4.11 cnf(p27, plain, distinct_lines(sk0,X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p23, c4])).
% 28.97/4.11 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])).
% 28.97/4.11 cnf(p759, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X1,X0) | distinct_lines(sk0,X2) | distinct_lines(X1,X2) | ~spl0), inference(resolution, [status(thm)], [p89, p38])).
% 28.97/4.11 fof(sdef30, definition, (spl30 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X1,X0) | distinct_lines(sk0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl30])], [avatar_definition])).
% 28.97/4.11 cnf(ssp28, plain, (~spl0 | spl1 | spl28 | spl30), inference(avatar_split_clause, [status(thm)], [p759, sdef1, sdef28, sdef30])).
% 28.97/4.11 cnf(p761, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X1) | distinct_lines(sk0,X2) | distinct_lines(X0,X2) | ~spl0), inference(resolution, [status(thm)], [p89, p38])).
% 28.97/4.11 fof(sdef31, definition, (spl31 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk0,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl31])], [avatar_definition])).
% 28.97/4.11 fof(sdef32, definition, (spl32 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl32])], [avatar_definition])).
% 28.97/4.11 cnf(ssp29, plain, (~spl0 | spl31 | spl32), inference(avatar_split_clause, [status(thm)], [p761, sdef31, sdef32])).
% 28.97/4.11 cnf(p174, plain, (distinct_lines(sk1,sk3) | ~spl6), inference(avatar_component_clause, [status(thm)], [sdef6])).
% 28.97/4.11 cnf(p764, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | ~spl0 | ~spl6), inference(resolution, [status(thm)], [p89, p174])).
% 28.97/4.11 cnf(ssp30, plain, (~spl0 | ~spl6 | spl1 | spl19 | spl21 | spl28), inference(avatar_split_clause, [status(thm)], [p764, sdef1, sdef19, sdef21, sdef28])).
% 28.97/4.11 cnf(p177, plain, (distinct_lines(sk1,X0) | distinct_lines(sk2,X0) | ~spl5), inference(resolution, [status(thm)], [p172, c4])).
% 28.97/4.11 cnf(p765, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk1,X0) | ~spl0 | ~spl5), inference(resolution, [status(thm)], [p89, p177])).
% 28.97/4.11 cnf(ssp31, plain, (~spl0 | ~spl5 | spl18 | spl20 | spl32), inference(avatar_split_clause, [status(thm)], [p765, sdef18, sdef20, sdef32])).
% 28.97/4.11 cnf(p182, plain, (distinct_lines(sk1,X0) | distinct_lines(sk3,X0) | ~spl6), inference(resolution, [status(thm)], [p174, c4])).
% 28.97/4.11 cnf(p766, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk1,X0) | ~spl0 | ~spl6), inference(resolution, [status(thm)], [p89, p182])).
% 28.97/4.11 cnf(ssp32, plain, (~spl0 | ~spl6 | spl19 | spl21 | spl32), inference(avatar_split_clause, [status(thm)], [p766, sdef19, sdef21, sdef32])).
% 28.97/4.11 cnf(p37, plain, distinct_lines(sk0,X0) | distinct_lines(X0,sk1), inference(resolution, [status(thm)], [p27, c1])).
% 28.97/4.11 cnf(p41, plain, distinct_lines(X0,sk1) | distinct_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p37, c4])).
% 28.97/4.11 cnf(p767, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | distinct_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p41])).
% 28.97/4.11 cnf(ssp33, plain, (~spl0 | spl1 | spl28 | spl31), inference(avatar_split_clause, [status(thm)], [p767, sdef1, sdef28, sdef31])).
% 28.97/4.11 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])).
% 28.97/4.11 cnf(p768, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0) | ~spl0), inference(resolution, [status(thm)], [p89, p39])).
% 28.97/4.11 fof(sdef33, definition, (spl33 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl33])], [avatar_definition])).
% 28.97/4.11 cnf(ssp34, plain, (~spl0 | spl1 | spl28 | spl33), inference(avatar_split_clause, [status(thm)], [p768, sdef1, sdef28, sdef33])).
% 28.97/4.11 cnf(p46, plain, distinct_lines(X0,sk3) | distinct_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p42, c4])).
% 28.97/4.11 cnf(p770, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | distinct_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p46])).
% 28.97/4.11 fof(sdef34, definition, (spl34 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl34])], [avatar_definition])).
% 28.97/4.11 cnf(ssp35, plain, (~spl0 | spl19 | spl21 | spl34), inference(avatar_split_clause, [status(thm)], [p770, sdef19, sdef21, sdef34])).
% 28.97/4.11 cnf(p772, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X1,sk3) | distinct_lines(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p89, p46])).
% 28.97/4.11 fof(sdef35, definition, (spl35 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X1,sk3) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl35])], [avatar_definition])).
% 28.97/4.11 cnf(ssp36, plain, (~spl0 | spl18 | spl20 | spl35), inference(avatar_split_clause, [status(thm)], [p772, sdef18, sdef20, sdef35])).
% 28.97/4.11 cnf(p774, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk3) | distinct_lines(sk2,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p46])).
% 28.97/4.11 cnf(ssp37, plain, (~spl0 | spl22 | spl26), inference(avatar_split_clause, [status(thm)], [p774, sdef22, sdef26])).
% 28.97/4.11 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])).
% 28.97/4.11 cnf(p775, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X2) | distinct_lines(X0,X2) | ~spl0), inference(resolution, [status(thm)], [p89, p40])).
% 28.97/4.11 fof(sdef36, definition, (spl36 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl36])], [avatar_definition])).
% 28.97/4.11 cnf(ssp38, plain, (~spl0 | spl1 | spl28 | spl36), inference(avatar_split_clause, [status(thm)], [p775, sdef1, sdef28, sdef36])).
% 28.97/4.11 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])).
% 28.97/4.11 cnf(p777, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X1,X0) | distinct_lines(sk2,X2) | distinct_lines(X1,X2) | ~spl0), inference(resolution, [status(thm)], [p89, p43])).
% 28.97/4.11 fof(sdef37, definition, (spl37 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X1,X0) | distinct_lines(sk2,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl37])], [avatar_definition])).
% 28.97/4.11 cnf(ssp39, plain, (~spl0 | spl19 | spl21 | spl37), inference(avatar_split_clause, [status(thm)], [p777, sdef19, sdef21, sdef37])).
% 28.97/4.11 cnf(p779, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | distinct_lines(sk3,X1) | distinct_lines(sk2,X2) | distinct_lines(X0,X2) | ~spl0), inference(resolution, [status(thm)], [p89, p43])).
% 28.97/4.11 cnf(ssp40, plain, (~spl0 | spl25 | spl34), inference(avatar_split_clause, [status(thm)], [p779, sdef25, sdef34])).
% 28.97/4.11 cnf(p780, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk3,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0) | ~spl0), inference(resolution, [status(thm)], [p89, p43])).
% 28.97/4.11 fof(sdef38, definition, (spl38 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk3,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl38])], [avatar_definition])).
% 28.97/4.11 cnf(ssp41, plain, (~spl0 | spl18 | spl20 | spl38), inference(avatar_split_clause, [status(thm)], [p780, sdef18, sdef20, sdef38])).
% 28.97/4.11 cnf(p782, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | distinct_lines(sk3,X2) | distinct_lines(X0,X2) | distinct_lines(sk2,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p43])).
% 28.97/4.11 cnf(ssp42, plain, (~spl0 | spl22 | spl23), inference(avatar_split_clause, [status(thm)], [p782, sdef22, sdef23])).
% 28.97/4.11 cnf(p60, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p30, c13])).
% 28.97/4.11 cnf(p783, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p60])).
% 28.97/4.11 fof(sdef39, definition, (spl39 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl39])], [avatar_definition])).
% 28.97/4.11 fof(sdef40, definition, (spl40 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | convergent_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl40])], [avatar_definition])).
% 28.97/4.11 cnf(ssp43, plain, (~spl0 | spl39 | spl40), inference(avatar_split_clause, [status(thm)], [p783, sdef39, sdef40])).
% 28.97/4.11 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])).
% 28.97/4.11 cnf(p786, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X1,X2) | ~spl0), inference(resolution, [status(thm)], [p89, p44])).
% 28.97/4.11 fof(sdef41, definition, (spl41 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl41])], [avatar_definition])).
% 28.97/4.11 cnf(ssp44, plain, (~spl0 | spl18 | spl20 | spl41), inference(avatar_split_clause, [status(thm)], [p786, sdef18, sdef20, sdef41])).
% 28.97/4.11 cnf(p788, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0) | ~spl0), inference(resolution, [status(thm)], [p89, p44])).
% 28.97/4.11 fof(sdef42, definition, (spl42 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl42])], [avatar_definition])).
% 28.97/4.11 cnf(ssp45, plain, (~spl0 | spl19 | spl21 | spl42), inference(avatar_split_clause, [status(thm)], [p788, sdef19, sdef21, sdef42])).
% 28.97/4.11 cnf(p790, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X0) | distinct_lines(sk3,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p44])).
% 28.97/4.11 cnf(ssp46, plain, (~spl0 | spl24 | spl25), inference(avatar_split_clause, [status(thm)], [p790, sdef24, sdef25])).
% 28.97/4.11 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])).
% 28.97/4.11 cnf(p791, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2) | ~spl0), inference(resolution, [status(thm)], [p89, p45])).
% 28.97/4.11 fof(sdef43, definition, (spl43 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl43])], [avatar_definition])).
% 28.97/4.11 cnf(ssp47, plain, (~spl0 | spl18 | spl20 | spl43), inference(avatar_split_clause, [status(thm)], [p791, sdef18, sdef20, sdef43])).
% 28.97/4.11 cnf(p793, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X2) | distinct_lines(X0,X2) | ~spl0), inference(resolution, [status(thm)], [p89, p45])).
% 28.97/4.11 fof(sdef44, definition, (spl44 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl44])], [avatar_definition])).
% 28.97/4.11 cnf(ssp48, plain, (~spl0 | spl19 | spl21 | spl44), inference(avatar_split_clause, [status(thm)], [p793, sdef19, sdef21, sdef44])).
% 28.97/4.11 cnf(p795, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X0) | distinct_lines(sk3,X2) | distinct_lines(X2,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p45])).
% 28.97/4.11 fof(sdef45, definition, (spl45 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk3,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl45])], [avatar_definition])).
% 28.97/4.11 cnf(ssp49, plain, (~spl0 | spl22 | spl45), inference(avatar_split_clause, [status(thm)], [p795, sdef22, sdef45])).
% 28.97/4.11 cnf(p97, plain, convergent_lines(sk2,X0) | convergent_lines(sk3,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p32, c13])).
% 28.97/4.11 cnf(p797, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | convergent_lines(sk2,X0) | convergent_lines(sk3,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p97])).
% 28.97/4.11 fof(sdef46, definition, (spl46 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | convergent_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl46])], [avatar_definition])).
% 28.97/4.11 fof(sdef47, definition, (spl47 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | convergent_lines(sk3,X0))), introduced(definition, [new_symbols(naming, [spl47])], [avatar_definition])).
% 28.97/4.11 cnf(ssp50, plain, (~spl0 | spl46 | spl47), inference(avatar_split_clause, [status(thm)], [p797, sdef46, sdef47])).
% 28.97/4.11 cnf(p143, plain, distinct_lines(sk1,X0) | convergent_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p34, c13])).
% 28.97/4.11 cnf(p800, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | convergent_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p143])).
% 28.97/4.11 fof(sdef48, definition, (spl48 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | convergent_lines(sk0,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl48])], [avatar_definition])).
% 28.97/4.11 cnf(ssp51, plain, (~spl0 | spl1 | spl28 | spl48), inference(avatar_split_clause, [status(thm)], [p800, sdef1, sdef28, sdef48])).
% 28.97/4.11 cnf(p802, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X0) | convergent_lines(sk0,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p143])).
% 28.97/4.11 cnf(ssp52, plain, (~spl0 | spl32 | spl39), inference(avatar_split_clause, [status(thm)], [p802, sdef32, sdef39])).
% 28.97/4.11 cnf(p364, plain, (distinct_lines(sk1,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl11), inference(avatar_component_clause, [status(thm)], [sdef11])).
% 28.97/4.11 cnf(p803, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl0 | ~spl11), inference(resolution, [status(thm)], [p89, p364])).
% 28.97/4.11 fof(sdef49, definition, (spl49 <=> (apart_point_and_line(intersection_point(sk2,sk3),line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))))), introduced(definition, [new_symbols(naming, [spl49])], [avatar_definition])).
% 28.97/4.11 fof(sdef50, definition, (spl50 <=> (apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))))), introduced(definition, [new_symbols(naming, [spl50])], [avatar_definition])).
% 28.97/4.11 cnf(ssp53, plain, (~spl0 | ~spl11 | spl1 | spl28 | spl49 | spl50), inference(avatar_split_clause, [status(thm)], [p803, sdef1, sdef28, sdef49, sdef50])).
% 28.97/4.11 cnf(p155, plain, distinct_lines(X0,sk0) | distinct_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p152, c4])).
% 28.97/4.11 cnf(p806, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X1,sk0) | distinct_lines(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p89, p155])).
% 28.97/4.11 fof(sdef51, definition, (spl51 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X1,sk0) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl51])], [avatar_definition])).
% 28.97/4.11 cnf(ssp54, plain, (~spl0 | spl1 | spl28 | spl51), inference(avatar_split_clause, [status(thm)], [p806, sdef1, sdef28, sdef51])).
% 28.97/4.11 cnf(p808, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk0) | distinct_lines(sk1,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p155])).
% 28.97/4.11 cnf(ssp55, plain, (~spl0 | spl27 | spl32), inference(avatar_split_clause, [status(thm)], [p808, sdef27, sdef32])).
% 28.97/4.11 cnf(p159, plain, distinct_lines(sk3,X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p36, c13])).
% 28.97/4.11 cnf(p809, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p159])).
% 28.97/4.12 fof(sdef52, definition, (spl52 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl52])], [avatar_definition])).
% 28.97/4.12 cnf(ssp56, plain, (~spl0 | spl19 | spl21 | spl52), inference(avatar_split_clause, [status(thm)], [p809, sdef19, sdef21, sdef52])).
% 28.97/4.12 cnf(p811, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | distinct_lines(sk3,X0) | convergent_lines(sk2,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p159])).
% 28.97/4.12 cnf(ssp57, plain, (~spl0 | spl25 | spl46), inference(avatar_split_clause, [status(thm)], [p811, sdef25, sdef46])).
% 28.97/4.12 cnf(p169, plain, distinct_lines(X0,sk2) | distinct_lines(sk3,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p166, c4])).
% 28.97/4.12 cnf(p812, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p89, p169])).
% 28.97/4.12 fof(sdef53, definition, (spl53 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl53])], [avatar_definition])).
% 28.97/4.12 cnf(ssp58, plain, (~spl0 | spl19 | spl21 | spl53), inference(avatar_split_clause, [status(thm)], [p812, sdef19, sdef21, sdef53])).
% 28.97/4.12 cnf(p814, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk2) | distinct_lines(sk3,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p169])).
% 28.97/4.12 cnf(ssp59, plain, (~spl0 | spl25 | spl29), inference(avatar_split_clause, [status(thm)], [p814, sdef25, sdef29])).
% 28.97/4.12 cnf(p170, plain, distinct_lines(sk3,X0) | distinct_lines(X0,X1) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p166, c4])).
% 28.97/4.12 cnf(p815, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk3,X1) | distinct_lines(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p89, p170])).
% 28.97/4.12 cnf(ssp60, plain, (~spl0 | spl18 | spl20 | spl45), inference(avatar_split_clause, [status(thm)], [p815, sdef18, sdef20, sdef45])).
% 28.97/4.12 cnf(p183, plain, (distinct_lines(sk1,X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl5), inference(resolution, [status(thm)], [p177, c4])).
% 28.97/4.12 cnf(p816, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl0 | ~spl5), inference(resolution, [status(thm)], [p89, p183])).
% 28.97/4.12 cnf(ssp61, plain, (~spl0 | ~spl5 | spl1 | spl28 | spl34), inference(avatar_split_clause, [status(thm)], [p816, sdef1, sdef28, sdef34])).
% 28.97/4.12 cnf(p817, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk1,X1) | distinct_lines(X1,X0) | ~spl0 | ~spl5), inference(resolution, [status(thm)], [p89, p183])).
% 28.97/4.12 fof(sdef54, definition, (spl54 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk1,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl54])], [avatar_definition])).
% 28.97/4.12 cnf(ssp62, plain, (~spl0 | ~spl5 | spl18 | spl20 | spl54), inference(avatar_split_clause, [status(thm)], [p817, sdef18, sdef20, sdef54])).
% 28.97/4.12 cnf(p819, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X0) | distinct_lines(sk2,X1) | ~spl0 | ~spl5), inference(resolution, [status(thm)], [p89, p183])).
% 28.97/4.12 cnf(ssp63, plain, (~spl0 | ~spl5 | spl22 | spl32), inference(avatar_split_clause, [status(thm)], [p819, sdef22, sdef32])).
% 28.97/4.12 cnf(p401, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk2) | ~spl5), inference(resolution, [status(thm)], [p183, c1])).
% 28.97/4.12 cnf(p820, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X0,sk2) | ~spl0 | ~spl5), inference(resolution, [status(thm)], [p89, p401])).
% 28.97/4.12 cnf(ssp64, plain, (~spl0 | ~spl5 | spl1 | spl28 | spl29), inference(avatar_split_clause, [status(thm)], [p820, sdef1, sdef28, sdef29])).
% 28.97/4.12 cnf(p184, plain, (distinct_lines(sk1,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl6), inference(resolution, [status(thm)], [p182, c4])).
% 28.97/4.12 cnf(p821, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl0 | ~spl6), inference(resolution, [status(thm)], [p89, p184])).
% 28.97/4.12 cnf(ssp65, plain, (~spl0 | ~spl6 | spl1 | spl23 | spl28), inference(avatar_split_clause, [status(thm)], [p821, sdef1, sdef23, sdef28])).
% 28.97/4.12 cnf(p822, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk1,X1) | distinct_lines(X1,X0) | ~spl0 | ~spl6), inference(resolution, [status(thm)], [p89, p184])).
% 28.97/4.12 cnf(ssp66, plain, (~spl0 | ~spl6 | spl19 | spl21 | spl54), inference(avatar_split_clause, [status(thm)], [p822, sdef19, sdef21, sdef54])).
% 28.97/4.12 cnf(p823, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X0) | distinct_lines(sk3,X1) | ~spl0 | ~spl6), inference(resolution, [status(thm)], [p89, p184])).
% 28.97/4.12 cnf(ssp67, plain, (~spl0 | ~spl6 | spl25 | spl32), inference(avatar_split_clause, [status(thm)], [p823, sdef25, sdef32])).
% 28.97/4.12 cnf(p419, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk3) | ~spl6), inference(resolution, [status(thm)], [p184, c1])).
% 28.97/4.12 cnf(p824, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X0,sk3) | ~spl0 | ~spl6), inference(resolution, [status(thm)], [p89, p419])).
% 28.97/4.12 cnf(ssp68, plain, (~spl0 | ~spl6 | spl1 | spl26 | spl28), inference(avatar_split_clause, [status(thm)], [p824, sdef1, sdef26, sdef28])).
% 28.97/4.12 cnf(p59, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | distinct_lines(sk1,X1), inference(resolution, [status(thm)], [p30, c13])).
% 28.97/4.12 cnf(p213, plain, convergent_lines(sk0,X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p59, c13])).
% 28.97/4.12 cnf(p825, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | convergent_lines(sk0,X1) | distinct_lines(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p89, p213])).
% 28.97/4.12 fof(sdef55, definition, (spl55 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | convergent_lines(sk0,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl55])], [avatar_definition])).
% 28.97/4.12 cnf(ssp69, plain, (~spl0 | spl1 | spl28 | spl55), inference(avatar_split_clause, [status(thm)], [p825, sdef1, sdef28, sdef55])).
% 28.97/4.12 cnf(p57, plain, convergent_lines(sk0,X0) | convergent_lines(X0,sk1), inference(resolution, [status(thm)], [p30, c2])).
% 28.97/4.12 cnf(p78, plain, convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p57, c5])).
% 28.97/4.12 cnf(p232, plain, convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p78, c13])).
% 28.97/4.12 cnf(p827, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p232])).
% 28.97/4.12 fof(sdef56, definition, (spl56 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | convergent_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl56])], [avatar_definition])).
% 28.97/4.12 cnf(ssp70, plain, (~spl0 | spl39 | spl56), inference(avatar_split_clause, [status(thm)], [p827, sdef39, sdef56])).
% 28.97/4.12 cnf(p248, plain, distinct_lines(sk2,X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk3), inference(resolution, [status(thm)], [p44, c1])).
% 28.97/4.12 cnf(p829, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk3) | ~spl0), inference(resolution, [status(thm)], [p89, p248])).
% 28.97/4.12 fof(sdef57, definition, (spl57 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk3))), introduced(definition, [new_symbols(naming, [spl57])], [avatar_definition])).
% 28.97/4.12 cnf(ssp71, plain, (~spl0 | spl18 | spl20 | spl57), inference(avatar_split_clause, [status(thm)], [p829, sdef18, sdef20, sdef57])).
% 28.97/4.12 cnf(p77, plain, convergent_lines(sk0,X0) | distinct_lines(X0,sk1), inference(resolution, [status(thm)], [p57, c13])).
% 28.97/4.12 cnf(p85, plain, distinct_lines(X0,sk1) | convergent_lines(sk0,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p77, c5])).
% 28.97/4.12 cnf(p265, plain, distinct_lines(X0,sk1) | convergent_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p85, c13])).
% 28.97/4.12 cnf(p831, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk1) | convergent_lines(sk0,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p265])).
% 28.97/4.12 fof(sdef58, definition, (spl58 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl58])], [avatar_definition])).
% 28.97/4.12 cnf(ssp72, plain, (~spl0 | spl39 | spl58), inference(avatar_split_clause, [status(thm)], [p831, sdef39, sdef58])).
% 28.97/4.12 cnf(p95, plain, convergent_lines(sk3,X0) | convergent_lines(X1,X0) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p32, c13])).
% 28.97/4.12 cnf(p282, plain, convergent_lines(sk3,X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p95, c13])).
% 28.97/4.12 cnf(p833, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | convergent_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p282])).
% 28.97/4.12 fof(sdef59, definition, (spl59 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | convergent_lines(sk3,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl59])], [avatar_definition])).
% 28.97/4.12 cnf(ssp73, plain, (~spl0 | spl18 | spl20 | spl59), inference(avatar_split_clause, [status(thm)], [p833, sdef18, sdef20, sdef59])).
% 28.97/4.12 cnf(p835, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | convergent_lines(sk3,X1) | distinct_lines(sk2,X0) | ~spl0), inference(resolution, [status(thm)], [p89, p282])).
% 28.97/4.12 cnf(ssp74, plain, (~spl0 | spl22 | spl47), inference(avatar_split_clause, [status(thm)], [p835, sdef22, sdef47])).
% 28.97/4.12 cnf(p96, plain, convergent_lines(sk2,X0) | convergent_lines(X0,X1) | distinct_lines(sk3,X1), inference(resolution, [status(thm)], [p32, c13])).
% 28.97/4.12 cnf(p291, plain, convergent_lines(sk2,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p96, c13])).
% 28.97/4.12 cnf(p836, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | convergent_lines(sk2,X1) | distinct_lines(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p89, p291])).
% 28.97/4.12 fof(sdef60, definition, (spl60 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | convergent_lines(sk2,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl60])], [avatar_definition])).
% 28.97/4.12 cnf(ssp75, plain, (~spl0 | spl19 | spl21 | spl60), inference(avatar_split_clause, [status(thm)], [p836, sdef19, sdef21, sdef60])).
% 28.97/4.12 cnf(p309, plain, convergent_lines(X0,sk3) | convergent_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p109, c13])).
% 28.97/4.12 cnf(p838, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | convergent_lines(X0,sk3) | convergent_lines(sk2,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p309])).
% 28.97/4.12 fof(sdef61, definition, (spl61 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | convergent_lines(X0,sk3))), introduced(definition, [new_symbols(naming, [spl61])], [avatar_definition])).
% 28.97/4.12 cnf(ssp76, plain, (~spl0 | spl46 | spl61), inference(avatar_split_clause, [status(thm)], [p838, sdef46, sdef61])).
% 28.97/4.12 cnf(p108, plain, convergent_lines(sk2,X0) | distinct_lines(X0,sk3), inference(resolution, [status(thm)], [p94, c13])).
% 28.97/4.12 cnf(p118, plain, distinct_lines(X0,sk3) | convergent_lines(sk2,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p108, c5])).
% 28.97/4.12 cnf(p338, plain, distinct_lines(X0,sk3) | convergent_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p118, c13])).
% 28.97/4.12 cnf(p840, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk3) | convergent_lines(sk2,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p338])).
% 28.97/4.12 cnf(ssp77, plain, (~spl0 | spl26 | spl46), inference(avatar_split_clause, [status(thm)], [p840, sdef26, sdef46])).
% 28.97/4.12 cnf(p132, plain, (distinct_lines(sk0,sk2) | ~spl2), inference(avatar_component_clause, [status(thm)], [sdef2])).
% 28.97/4.12 cnf(p138, plain, (distinct_lines(sk0,X0) | distinct_lines(sk2,X0) | ~spl2), inference(resolution, [status(thm)], [p132, c4])).
% 28.97/4.12 cnf(p150, plain, (distinct_lines(sk0,X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl2), inference(resolution, [status(thm)], [p138, c4])).
% 28.97/4.12 cnf(p356, plain, (distinct_lines(sk0,X0) | distinct_lines(X0,sk2) | ~spl2), inference(resolution, [status(thm)], [p150, c1])).
% 28.97/4.12 cnf(p360, plain, (distinct_lines(X0,sk2) | distinct_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl2), inference(resolution, [status(thm)], [p356, c4])).
% 28.97/4.12 cnf(p841, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | distinct_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl0 | ~spl2), inference(resolution, [status(thm)], [p89, p360])).
% 28.97/4.12 cnf(ssp78, plain, (~spl0 | ~spl2 | spl18 | spl20 | spl31), inference(avatar_split_clause, [status(thm)], [p841, sdef18, sdef20, sdef31])).
% 28.97/4.12 cnf(p633, plain, (distinct_lines(X0,sk2) | distinct_lines(X0,sk0) | ~spl2), inference(resolution, [status(thm)], [p360, c1])).
% 28.97/4.12 cnf(p842, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | distinct_lines(X0,sk0) | ~spl0 | ~spl2), inference(resolution, [status(thm)], [p89, p633])).
% 28.97/4.12 cnf(ssp79, plain, (~spl0 | ~spl2 | spl18 | spl20 | spl27), inference(avatar_split_clause, [status(thm)], [p842, sdef18, sdef20, sdef27])).
% 28.97/4.12 cnf(p135, plain, (distinct_lines(sk0,sk3) | ~spl4), inference(avatar_component_clause, [status(thm)], [sdef4])).
% 28.97/4.12 cnf(p139, plain, (distinct_lines(sk0,X0) | distinct_lines(sk3,X0) | ~spl4), inference(resolution, [status(thm)], [p135, c4])).
% 28.97/4.12 cnf(p151, plain, (distinct_lines(sk0,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl4), inference(resolution, [status(thm)], [p139, c4])).
% 28.97/4.12 cnf(p367, plain, (distinct_lines(sk0,X0) | distinct_lines(X0,sk3) | ~spl4), inference(resolution, [status(thm)], [p151, c1])).
% 28.97/4.12 cnf(p371, plain, (distinct_lines(X0,sk3) | distinct_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl4), inference(resolution, [status(thm)], [p367, c4])).
% 28.97/4.12 cnf(p843, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | distinct_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl0 | ~spl4), inference(resolution, [status(thm)], [p89, p371])).
% 28.97/4.12 cnf(ssp80, plain, (~spl0 | ~spl4 | spl19 | spl21 | spl31), inference(avatar_split_clause, [status(thm)], [p843, sdef19, sdef21, sdef31])).
% 28.97/4.12 cnf(p638, plain, (distinct_lines(X0,sk3) | distinct_lines(X0,sk0) | ~spl4), inference(resolution, [status(thm)], [p371, c1])).
% 28.97/4.12 cnf(p844, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | distinct_lines(X0,sk0) | ~spl0 | ~spl4), inference(resolution, [status(thm)], [p89, p638])).
% 28.97/4.12 cnf(ssp81, plain, (~spl0 | ~spl4 | spl19 | spl21 | spl27), inference(avatar_split_clause, [status(thm)], [p844, sdef19, sdef21, sdef27])).
% 28.97/4.12 cnf(p405, plain, (distinct_lines(X0,sk2) | distinct_lines(sk1,X1) | distinct_lines(X0,X1) | ~spl5), inference(resolution, [status(thm)], [p401, c4])).
% 28.97/4.12 cnf(p845, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | distinct_lines(sk1,X1) | distinct_lines(X0,X1) | ~spl0 | ~spl5), inference(resolution, [status(thm)], [p89, p405])).
% 28.97/4.12 fof(sdef62, definition, (spl62 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl62])], [avatar_definition])).
% 28.97/4.12 cnf(ssp82, plain, (~spl0 | ~spl5 | spl18 | spl20 | spl62), inference(avatar_split_clause, [status(thm)], [p845, sdef18, sdef20, sdef62])).
% 28.97/4.12 cnf(p847, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X0) | ~spl0 | ~spl5), inference(resolution, [status(thm)], [p89, p405])).
% 28.97/4.12 cnf(ssp83, plain, (~spl0 | ~spl5 | spl1 | spl28 | spl53), inference(avatar_split_clause, [status(thm)], [p847, sdef1, sdef28, sdef53])).
% 28.97/4.12 cnf(p848, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk2) | distinct_lines(sk1,X1) | ~spl0 | ~spl5), inference(resolution, [status(thm)], [p89, p405])).
% 28.97/4.12 cnf(ssp84, plain, (~spl0 | ~spl5 | spl29 | spl32), inference(avatar_split_clause, [status(thm)], [p848, sdef29, sdef32])).
% 28.97/4.12 cnf(p652, plain, (distinct_lines(X0,sk2) | distinct_lines(X0,sk1) | ~spl5), inference(resolution, [status(thm)], [p405, c1])).
% 28.97/4.12 cnf(p849, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | distinct_lines(X0,sk1) | ~spl0 | ~spl5), inference(resolution, [status(thm)], [p89, p652])).
% 28.97/4.12 cnf(ssp85, plain, (~spl0 | ~spl5 | spl18 | spl20 | spl58), inference(avatar_split_clause, [status(thm)], [p849, sdef18, sdef20, sdef58])).
% 28.97/4.12 cnf(p423, plain, (distinct_lines(X0,sk3) | distinct_lines(sk1,X1) | distinct_lines(X0,X1) | ~spl6), inference(resolution, [status(thm)], [p419, c4])).
% 28.97/4.12 cnf(p850, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | distinct_lines(sk1,X1) | distinct_lines(X0,X1) | ~spl0 | ~spl6), inference(resolution, [status(thm)], [p89, p423])).
% 28.97/4.12 cnf(ssp86, plain, (~spl0 | ~spl6 | spl19 | spl21 | spl62), inference(avatar_split_clause, [status(thm)], [p850, sdef19, sdef21, sdef62])).
% 28.97/4.12 cnf(p851, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(X1,sk3) | distinct_lines(X1,X0) | ~spl0 | ~spl6), inference(resolution, [status(thm)], [p89, p423])).
% 28.97/4.12 cnf(ssp87, plain, (~spl0 | ~spl6 | spl1 | spl28 | spl35), inference(avatar_split_clause, [status(thm)], [p851, sdef1, sdef28, sdef35])).
% 28.97/4.12 cnf(p852, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk3) | distinct_lines(sk1,X1) | ~spl0 | ~spl6), inference(resolution, [status(thm)], [p89, p423])).
% 28.97/4.12 cnf(ssp88, plain, (~spl0 | ~spl6 | spl26 | spl32), inference(avatar_split_clause, [status(thm)], [p852, sdef26, sdef32])).
% 28.97/4.12 cnf(p668, plain, (distinct_lines(X0,sk3) | distinct_lines(X0,sk1) | ~spl6), inference(resolution, [status(thm)], [p423, c1])).
% 28.97/4.12 cnf(p853, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | distinct_lines(X0,sk1) | ~spl0 | ~spl6), inference(resolution, [status(thm)], [p89, p668])).
% 28.97/4.12 cnf(ssp89, plain, (~spl0 | ~spl6 | spl19 | spl21 | spl58), inference(avatar_split_clause, [status(thm)], [p853, sdef19, sdef21, sdef58])).
% 28.97/4.12 cnf(p230, plain, convergent_lines(X0,sk1) | convergent_lines(X0,sk0), inference(resolution, [status(thm)], [p78, c2])).
% 28.97/4.12 cnf(p243, plain, convergent_lines(X0,sk0) | convergent_lines(X0,X1) | convergent_lines(sk1,X1), inference(resolution, [status(thm)], [p230, c5])).
% 28.97/4.12 cnf(p465, plain, convergent_lines(X0,sk0) | convergent_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p243, c13])).
% 28.97/4.12 cnf(p854, plain, (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | convergent_lines(X0,sk0) | convergent_lines(sk1,X1) | ~spl0), inference(resolution, [status(thm)], [p89, p465])).
% 28.97/4.12 fof(sdef63, definition, (spl63 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | convergent_lines(X0,sk0))), introduced(definition, [new_symbols(naming, [spl63])], [avatar_definition])).
% 28.97/4.12 cnf(ssp90, plain, (~spl0 | spl40 | spl63), inference(avatar_split_clause, [status(thm)], [p854, sdef40, sdef63])).
% 28.97/4.12 cnf(p861, plain, (convergent_lines(sk0,sk2) | convergent_lines(sk1,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X0)) | ~spl18), inference(resolution, [status(thm)], [p738, p66])).
% 28.97/4.12 fof(sdef64, definition, (spl64 <=> (convergent_lines(sk0,sk2))), introduced(definition, [new_symbols(naming, [spl64])], [avatar_definition])).
% 28.97/4.12 fof(sdef65, definition, (spl65 <=> (convergent_lines(sk1,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X0)))), introduced(definition, [new_symbols(naming, [spl65])], [avatar_definition])).
% 28.97/4.12 cnf(ssp91, plain, (~spl18 | spl64 | spl65), inference(avatar_split_clause, [status(thm)], [p861, sdef64, sdef65])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p864, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,sk2)) | convergent_lines(sk0,sk2) | ~spl18), inference(resolution, [status(thm)], [p738, p69])).
% 28.97/4.12 fof(sdef66, definition, (spl66 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,sk2)))), introduced(definition, [new_symbols(naming, [spl66])], [avatar_definition])).
% 28.97/4.12 cnf(ssp92, plain, (~spl18 | spl64 | spl66), inference(avatar_split_clause, [status(thm)], [p864, sdef64, sdef66])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p866, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk2)) | distinct_lines(sk1,sk2) | ~spl18), inference(resolution, [status(thm)], [p738, p71])).
% 28.97/4.12 fof(sdef67, definition, (spl67 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl67])], [avatar_definition])).
% 28.97/4.12 cnf(ssp93, plain, (~spl18 | spl5 | spl67), inference(avatar_split_clause, [status(thm)], [p866, sdef5, sdef67])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p868, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk2)) | convergent_lines(sk1,X0) | convergent_lines(sk2,X0) | ~spl18), inference(resolution, [status(thm)], [p738, p73])).
% 28.97/4.12 fof(sdef68, definition, (spl68 <=> (convergent_lines(sk1,X0) | convergent_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl68])], [avatar_definition])).
% 28.97/4.12 cnf(ssp94, plain, (~spl18 | spl67 | spl68), inference(avatar_split_clause, [status(thm)], [p868, sdef67, sdef68])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p871, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,sk2)) | convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | ~spl18), inference(resolution, [status(thm)], [p738, p74])).
% 28.97/4.12 fof(sdef69, definition, (spl69 <=> (convergent_lines(sk0,X0) | convergent_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl69])], [avatar_definition])).
% 28.97/4.12 cnf(ssp95, plain, (~spl18 | spl66 | spl69), inference(avatar_split_clause, [status(thm)], [p871, sdef66, sdef69])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p874, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk2)) | convergent_lines(sk0,X0) | convergent_lines(sk1,sk2) | ~spl18), inference(resolution, [status(thm)], [p738, p75])).
% 28.97/4.12 fof(sdef70, definition, (spl70 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk2)) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl70])], [avatar_definition])).
% 28.97/4.12 fof(sdef71, definition, (spl71 <=> (convergent_lines(sk1,sk2))), introduced(definition, [new_symbols(naming, [spl71])], [avatar_definition])).
% 28.97/4.12 cnf(ssp96, plain, (~spl18 | spl70 | spl71), inference(avatar_split_clause, [status(thm)], [p874, sdef70, sdef71])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p877, plain, (convergent_lines(sk0,sk2) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk1)) | ~spl18), inference(resolution, [status(thm)], [p738, p80])).
% 28.97/4.12 fof(sdef72, definition, (spl72 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk1)))), introduced(definition, [new_symbols(naming, [spl72])], [avatar_definition])).
% 28.97/4.12 cnf(ssp97, plain, (~spl18 | spl64 | spl72), inference(avatar_split_clause, [status(thm)], [p877, sdef64, sdef72])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p879, plain, (convergent_lines(sk2,sk1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk2)) | ~spl18), inference(resolution, [status(thm)], [p738, p81])).
% 28.97/4.12 fof(sdef73, definition, (spl73 <=> (convergent_lines(sk2,sk1))), introduced(definition, [new_symbols(naming, [spl73])], [avatar_definition])).
% 28.97/4.12 cnf(ssp98, plain, (~spl18 | spl67 | spl73), inference(avatar_split_clause, [status(thm)], [p879, sdef67, sdef73])).
% 28.97/4.12 cnf(p76, plain, convergent_lines(X0,sk1) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p57, c13])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p881, plain, (distinct_lines(sk0,sk2) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk1)) | ~spl18), inference(resolution, [status(thm)], [p738, p83])).
% 28.97/4.12 cnf(ssp99, plain, (~spl18 | spl2 | spl72), inference(avatar_split_clause, [status(thm)], [p881, sdef2, sdef72])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p882, plain, (distinct_lines(sk2,sk1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk2)) | ~spl18), inference(resolution, [status(thm)], [p738, p87])).
% 28.97/4.12 fof(sdef74, definition, (spl74 <=> (distinct_lines(sk2,sk1))), introduced(definition, [new_symbols(naming, [spl74])], [avatar_definition])).
% 28.97/4.12 cnf(ssp100, plain, (~spl18 | spl67 | spl74), inference(avatar_split_clause, [status(thm)], [p882, sdef67, sdef74])).
% 28.97/4.12 cnf(p883, plain, (distinct_lines(sk2,sk1) | ~spl74), inference(avatar_component_clause, [status(thm)], [sdef74])).
% 28.97/4.12 cnf(p909, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | ~spl0 | ~spl74), inference(resolution, [status(thm)], [p883, p89])).
% 28.97/4.12 cnf(ssp101, plain, (~spl0 | ~spl74 | spl1 | spl18 | spl20 | spl28), inference(avatar_split_clause, [status(thm)], [p909, sdef1, sdef18, sdef20, sdef28])).
% 28.97/4.12 cnf(p876, plain, (convergent_lines(sk1,sk2) | ~spl71), inference(avatar_component_clause, [status(thm)], [sdef71])).
% 28.97/4.12 cnf(p888, plain, (distinct_lines(sk1,sk2) | ~spl71), inference(resolution, [status(thm)], [p876, c13])).
% 28.97/4.12 cnf(p912, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | ~spl0 | ~spl71), inference(resolution, [status(thm)], [p888, p89])).
% 28.97/4.12 cnf(ssp102, plain, (~spl0 | ~spl71 | spl1 | spl18 | spl20 | spl28), inference(avatar_split_clause, [status(thm)], [p912, sdef1, sdef18, sdef20, sdef28])).
% 28.97/4.12 cnf(p880, plain, (convergent_lines(sk2,sk1) | ~spl73), inference(avatar_component_clause, [status(thm)], [sdef73])).
% 28.97/4.12 cnf(p892, plain, (distinct_lines(sk2,sk1) | ~spl73), inference(resolution, [status(thm)], [p880, c13])).
% 28.97/4.12 cnf(p914, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | ~spl0 | ~spl73), inference(resolution, [status(thm)], [p892, p89])).
% 28.97/4.12 cnf(ssp103, plain, (~spl0 | ~spl73 | spl1 | spl18 | spl20 | spl28), inference(avatar_split_clause, [status(thm)], [p914, sdef1, sdef18, sdef20, sdef28])).
% 28.97/4.12 cnf(p933, plain, (convergent_lines(sk0,sk3) | convergent_lines(sk1,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,X0)) | ~spl19), inference(resolution, [status(thm)], [p739, p66])).
% 28.97/4.12 fof(sdef75, definition, (spl75 <=> (convergent_lines(sk0,sk3))), introduced(definition, [new_symbols(naming, [spl75])], [avatar_definition])).
% 28.97/4.12 fof(sdef76, definition, (spl76 <=> (convergent_lines(sk1,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,X0)))), introduced(definition, [new_symbols(naming, [spl76])], [avatar_definition])).
% 28.97/4.12 cnf(ssp104, plain, (~spl19 | spl75 | spl76), inference(avatar_split_clause, [status(thm)], [p933, sdef75, sdef76])).
% 28.97/4.12 cnf(p936, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,sk3)) | convergent_lines(sk0,sk3) | ~spl19), inference(resolution, [status(thm)], [p739, p69])).
% 28.97/4.12 fof(sdef77, definition, (spl77 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,sk3)))), introduced(definition, [new_symbols(naming, [spl77])], [avatar_definition])).
% 28.97/4.12 cnf(ssp105, plain, (~spl19 | spl75 | spl77), inference(avatar_split_clause, [status(thm)], [p936, sdef75, sdef77])).
% 28.97/4.12 cnf(p938, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk3)) | distinct_lines(sk1,sk3) | ~spl19), inference(resolution, [status(thm)], [p739, p71])).
% 28.97/4.12 fof(sdef78, definition, (spl78 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk3)))), introduced(definition, [new_symbols(naming, [spl78])], [avatar_definition])).
% 28.97/4.12 cnf(ssp106, plain, (~spl19 | spl6 | spl78), inference(avatar_split_clause, [status(thm)], [p938, sdef6, sdef78])).
% 28.97/4.12 cnf(p940, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk3)) | convergent_lines(sk1,X0) | convergent_lines(sk3,X0) | ~spl19), inference(resolution, [status(thm)], [p739, p73])).
% 28.97/4.12 fof(sdef79, definition, (spl79 <=> (convergent_lines(sk1,X0) | convergent_lines(sk3,X0))), introduced(definition, [new_symbols(naming, [spl79])], [avatar_definition])).
% 28.97/4.12 cnf(ssp107, plain, (~spl19 | spl78 | spl79), inference(avatar_split_clause, [status(thm)], [p940, sdef78, sdef79])).
% 28.97/4.12 cnf(p942, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,sk3)) | convergent_lines(sk0,X0) | convergent_lines(X0,sk3) | ~spl19), inference(resolution, [status(thm)], [p739, p74])).
% 28.97/4.12 fof(sdef80, definition, (spl80 <=> (convergent_lines(sk0,X0) | convergent_lines(X0,sk3))), introduced(definition, [new_symbols(naming, [spl80])], [avatar_definition])).
% 28.97/4.12 cnf(ssp108, plain, (~spl19 | spl77 | spl80), inference(avatar_split_clause, [status(thm)], [p942, sdef77, sdef80])).
% 28.97/4.12 cnf(p944, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk3)) | convergent_lines(sk0,X0) | convergent_lines(sk1,sk3) | ~spl19), inference(resolution, [status(thm)], [p739, p75])).
% 28.97/4.12 fof(sdef81, definition, (spl81 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk3)) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl81])], [avatar_definition])).
% 28.97/4.12 fof(sdef82, definition, (spl82 <=> (convergent_lines(sk1,sk3))), introduced(definition, [new_symbols(naming, [spl82])], [avatar_definition])).
% 28.97/4.12 cnf(ssp109, plain, (~spl19 | spl81 | spl82), inference(avatar_split_clause, [status(thm)], [p944, sdef81, sdef82])).
% 28.97/4.12 cnf(p947, plain, (convergent_lines(sk0,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,sk1)) | ~spl19), inference(resolution, [status(thm)], [p739, p80])).
% 28.97/4.12 fof(sdef83, definition, (spl83 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,sk1)))), introduced(definition, [new_symbols(naming, [spl83])], [avatar_definition])).
% 28.97/4.12 cnf(ssp110, plain, (~spl19 | spl75 | spl83), inference(avatar_split_clause, [status(thm)], [p947, sdef75, sdef83])).
% 28.97/4.12 cnf(p949, plain, (convergent_lines(sk3,sk1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk3)) | ~spl19), inference(resolution, [status(thm)], [p739, p81])).
% 28.97/4.12 fof(sdef84, definition, (spl84 <=> (convergent_lines(sk3,sk1))), introduced(definition, [new_symbols(naming, [spl84])], [avatar_definition])).
% 28.97/4.12 cnf(ssp111, plain, (~spl19 | spl78 | spl84), inference(avatar_split_clause, [status(thm)], [p949, sdef78, sdef84])).
% 28.97/4.12 cnf(p951, plain, (distinct_lines(sk0,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,sk1)) | ~spl19), inference(resolution, [status(thm)], [p739, p83])).
% 28.97/4.12 cnf(ssp112, plain, (~spl19 | spl4 | spl83), inference(avatar_split_clause, [status(thm)], [p951, sdef4, sdef83])).
% 28.97/4.12 cnf(p952, plain, (distinct_lines(sk3,sk1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk3)) | ~spl19), inference(resolution, [status(thm)], [p739, p87])).
% 28.97/4.12 fof(sdef85, definition, (spl85 <=> (distinct_lines(sk3,sk1))), introduced(definition, [new_symbols(naming, [spl85])], [avatar_definition])).
% 28.97/4.12 cnf(ssp113, plain, (~spl19 | spl78 | spl85), inference(avatar_split_clause, [status(thm)], [p952, sdef78, sdef85])).
% 28.97/4.12 cnf(p953, plain, (distinct_lines(sk3,sk1) | ~spl85), inference(avatar_component_clause, [status(thm)], [sdef85])).
% 28.97/4.12 cnf(p978, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | ~spl0 | ~spl85), inference(resolution, [status(thm)], [p953, p89])).
% 28.97/4.12 cnf(ssp114, plain, (~spl0 | ~spl85 | spl1 | spl19 | spl21 | spl28), inference(avatar_split_clause, [status(thm)], [p978, sdef1, sdef19, sdef21, sdef28])).
% 28.97/4.12 cnf(p946, plain, (convergent_lines(sk1,sk3) | ~spl82), inference(avatar_component_clause, [status(thm)], [sdef82])).
% 28.97/4.12 cnf(p958, plain, (distinct_lines(sk1,sk3) | ~spl82), inference(resolution, [status(thm)], [p946, c13])).
% 28.97/4.12 cnf(p981, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | ~spl0 | ~spl82), inference(resolution, [status(thm)], [p958, p89])).
% 28.97/4.12 cnf(ssp115, plain, (~spl0 | ~spl82 | spl1 | spl19 | spl21 | spl28), inference(avatar_split_clause, [status(thm)], [p981, sdef1, sdef19, sdef21, sdef28])).
% 28.97/4.12 cnf(p950, plain, (convergent_lines(sk3,sk1) | ~spl84), inference(avatar_component_clause, [status(thm)], [sdef84])).
% 28.97/4.12 cnf(p962, plain, (distinct_lines(sk3,sk1) | ~spl84), inference(resolution, [status(thm)], [p950, c13])).
% 28.97/4.12 cnf(p983, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | ~spl0 | ~spl84), inference(resolution, [status(thm)], [p962, p89])).
% 28.97/4.12 cnf(ssp116, plain, (~spl0 | ~spl84 | spl1 | spl19 | spl21 | spl28), inference(avatar_split_clause, [status(thm)], [p983, sdef1, sdef19, sdef21, sdef28])).
% 28.97/4.12 cnf(p101, plain, convergent_lines(sk3,X0) | convergent_lines(X1,X0) | ~apart_point_and_line(X2,sk2) | distinct_points(X2,intersection_point(sk2,X1)), inference(resolution, [status(thm)], [p32, c8])).
% 28.97/4.12 cnf(p984, plain, (convergent_lines(sk3,X0) | convergent_lines(X1,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X1)) | distinct_lines(sk0,sk2) | ~spl0), inference(resolution, [status(thm)], [p101, p129])).
% 28.97/4.12 fof(sdef86, definition, (spl86 <=> (convergent_lines(sk3,X0) | convergent_lines(X1,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X1)))), introduced(definition, [new_symbols(naming, [spl86])], [avatar_definition])).
% 28.97/4.12 cnf(ssp117, plain, (~spl0 | spl2 | spl86), inference(avatar_split_clause, [status(thm)], [p984, sdef2, sdef86])).
% 28.97/4.12 cnf(p754, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | ~spl28), inference(avatar_component_clause, [status(thm)], [sdef28])).
% 28.97/4.12 cnf(p995, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,sk1)) | convergent_lines(sk2,sk1) | ~spl28), inference(resolution, [status(thm)], [p754, p70])).
% 28.97/4.12 fof(sdef87, definition, (spl87 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,sk1)))), introduced(definition, [new_symbols(naming, [spl87])], [avatar_definition])).
% 28.97/4.12 cnf(ssp118, plain, (~spl28 | spl73 | spl87), inference(avatar_split_clause, [status(thm)], [p995, sdef73, sdef87])).
% 28.97/4.12 cnf(p997, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk1)) | distinct_lines(sk3,sk1) | ~spl28), inference(resolution, [status(thm)], [p754, p72])).
% 28.97/4.12 fof(sdef88, definition, (spl88 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk1)))), introduced(definition, [new_symbols(naming, [spl88])], [avatar_definition])).
% 28.97/4.12 cnf(ssp119, plain, (~spl28 | spl85 | spl88), inference(avatar_split_clause, [status(thm)], [p997, sdef85, sdef88])).
% 28.97/4.12 cnf(p999, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk1)) | convergent_lines(sk0,X0) | convergent_lines(sk1,sk1) | ~spl28), inference(resolution, [status(thm)], [p754, p75])).
% 28.97/4.12 cnf(ssp120, plain, (~spl28 | spl89 | spl90), inference(avatar_split_clause, [status(thm)], [p999, sdef89, sdef90])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p1005, plain, (convergent_lines(sk2,X0) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,X1)) | distinct_lines(sk0,sk3) | ~spl0), inference(resolution, [status(thm)], [p102, p129])).
% 28.97/4.12 fof(sdef91, definition, (spl91 <=> (convergent_lines(sk2,X0) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,X1)))), introduced(definition, [new_symbols(naming, [spl91])], [avatar_definition])).
% 28.97/4.12 cnf(ssp121, plain, (~spl0 | spl4 | spl91), inference(avatar_split_clause, [status(thm)], [p1005, sdef4, sdef91])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p1022, plain, (convergent_lines(sk2,sk0) | convergent_lines(sk3,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,X0)) | ~spl0), inference(resolution, [status(thm)], [p103, p19])).
% 28.97/4.12 fof(sdef92, definition, (spl92 <=> (convergent_lines(sk3,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,X0)))), introduced(definition, [new_symbols(naming, [spl92])], [avatar_definition])).
% 28.97/4.12 cnf(ssp122, plain, (~spl0 | spl15 | spl92), inference(avatar_split_clause, [status(thm)], [p1022, sdef15, sdef92])).
% 28.97/4.12 cnf(p1025, plain, (convergent_lines(sk2,sk1) | convergent_lines(sk3,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,X0)) | ~spl28), inference(resolution, [status(thm)], [p103, p754])).
% 28.97/4.12 fof(sdef93, definition, (spl93 <=> (convergent_lines(sk3,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,X0)))), introduced(definition, [new_symbols(naming, [spl93])], [avatar_definition])).
% 28.97/4.12 cnf(ssp123, plain, (~spl28 | spl73 | spl93), inference(avatar_split_clause, [status(thm)], [p1025, sdef73, sdef93])).
% 28.97/4.12 cnf(p869, plain, (convergent_lines(sk1,X0) | convergent_lines(sk2,X0) | ~spl68), inference(avatar_component_clause, [status(thm)], [sdef68])).
% 28.97/4.12 cnf(p1017, plain, (convergent_lines(sk1,sk2) | ~spl68), inference(resolution, [status(thm)], [p869, c2])).
% 28.97/4.12 cnf(p1027, plain, (distinct_lines(sk1,sk2) | ~spl68), inference(resolution, [status(thm)], [p1017, c13])).
% 28.97/4.12 cnf(p1031, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | ~spl0 | ~spl68), inference(resolution, [status(thm)], [p1027, p89])).
% 28.97/4.12 cnf(ssp124, plain, (~spl0 | ~spl68 | spl1 | spl18 | spl20 | spl28), inference(avatar_split_clause, [status(thm)], [p1031, sdef1, sdef18, sdef20, sdef28])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p1045, plain, (convergent_lines(sk3,X0) | convergent_lines(sk0,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk0)) | ~spl0), inference(resolution, [status(thm)], [p104, p19])).
% 28.97/4.12 fof(sdef94, definition, (spl94 <=> (convergent_lines(sk3,X0) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl94])], [avatar_definition])).
% 28.97/4.12 cnf(ssp125, plain, (~spl0 | spl16 | spl94), inference(avatar_split_clause, [status(thm)], [p1045, sdef16, sdef94])).
% 28.97/4.12 cnf(p1048, plain, (convergent_lines(sk3,X0) | convergent_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk1)) | ~spl28), inference(resolution, [status(thm)], [p104, p754])).
% 28.97/4.12 cnf(ssp126, plain, (~spl28 | spl79 | spl88), inference(avatar_split_clause, [status(thm)], [p1048, sdef79, sdef88])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p1062, plain, (convergent_lines(sk2,X0) | convergent_lines(X0,sk0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,sk0)) | ~spl0), inference(resolution, [status(thm)], [p105, p19])).
% 28.97/4.12 fof(sdef95, definition, (spl95 <=> (convergent_lines(sk2,X0) | convergent_lines(X0,sk0))), introduced(definition, [new_symbols(naming, [spl95])], [avatar_definition])).
% 28.97/4.12 cnf(ssp127, plain, (~spl0 | spl14 | spl95), inference(avatar_split_clause, [status(thm)], [p1062, sdef14, sdef95])).
% 28.97/4.12 cnf(p1065, plain, (convergent_lines(sk2,X0) | convergent_lines(X0,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,sk1)) | ~spl28), inference(resolution, [status(thm)], [p105, p754])).
% 28.97/4.12 fof(sdef96, definition, (spl96 <=> (convergent_lines(sk2,X0) | convergent_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl96])], [avatar_definition])).
% 28.97/4.12 cnf(ssp128, plain, (~spl28 | spl87 | spl96), inference(avatar_split_clause, [status(thm)], [p1065, sdef87, sdef96])).
% 28.97/4.12 cnf(p908, plain, (distinct_lines(sk2,X0) | distinct_lines(sk1,X0) | ~spl74), inference(resolution, [status(thm)], [p883, c4])).
% 28.97/4.12 cnf(p1077, plain, (distinct_lines(sk1,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | ~spl0 | ~spl74), inference(resolution, [status(thm)], [p908, p89])).
% 28.97/4.12 cnf(ssp129, plain, (~spl0 | ~spl74 | spl18 | spl20 | spl32), inference(avatar_split_clause, [status(thm)], [p1077, sdef18, sdef20, sdef32])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p1078, plain, (convergent_lines(sk2,X0) | convergent_lines(sk3,sk0) | distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk0)) | ~spl0), inference(resolution, [status(thm)], [p106, p19])).
% 28.97/4.12 fof(sdef97, definition, (spl97 <=> (convergent_lines(sk2,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk0)))), introduced(definition, [new_symbols(naming, [spl97])], [avatar_definition])).
% 28.97/4.12 fof(sdef98, definition, (spl98 <=> (convergent_lines(sk3,sk0))), introduced(definition, [new_symbols(naming, [spl98])], [avatar_definition])).
% 28.97/4.12 cnf(ssp130, plain, (~spl0 | spl97 | spl98), inference(avatar_split_clause, [status(thm)], [p1078, sdef97, sdef98])).
% 28.97/4.12 cnf(p1082, plain, (convergent_lines(sk2,X0) | convergent_lines(sk3,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk3)) | ~spl19), inference(resolution, [status(thm)], [p106, p739])).
% 28.97/4.12 cnf(ssp131, plain, (~spl19 | spl99 | spl100), inference(avatar_split_clause, [status(thm)], [p1082, sdef99, sdef100])).
% 28.97/4.12 cnf(p1085, plain, (convergent_lines(sk2,X0) | convergent_lines(sk3,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk1)) | ~spl28), inference(resolution, [status(thm)], [p106, p754])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(ssp132, plain, (~spl28 | spl84 | spl101), inference(avatar_split_clause, [status(thm)], [p1085, sdef84, sdef101])).
% 28.97/4.12 cnf(p110, plain, convergent_lines(X0,sk3) | ~apart_point_and_line(X1,sk2) | distinct_points(X1,intersection_point(sk2,X0)), inference(resolution, [status(thm)], [p94, c8])).
% 28.97/4.12 cnf(p1093, plain, (convergent_lines(X0,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X0)) | distinct_lines(sk0,sk2) | ~spl0), inference(resolution, [status(thm)], [p110, p129])).
% 28.97/4.12 cnf(ssp133, plain, (~spl0 | spl2 | spl102), inference(avatar_split_clause, [status(thm)], [p1093, sdef2, sdef102])).
% 28.97/4.12 cnf(p911, plain, (distinct_lines(sk1,X0) | distinct_lines(sk2,X0) | ~spl71), inference(resolution, [status(thm)], [p888, c4])).
% 28.97/4.12 cnf(p1097, plain, (distinct_lines(sk1,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | ~spl0 | ~spl71), inference(resolution, [status(thm)], [p911, p89])).
% 28.97/4.12 cnf(ssp134, plain, (~spl0 | ~spl71 | spl18 | spl20 | spl32), inference(avatar_split_clause, [status(thm)], [p1097, sdef18, sdef20, sdef32])).
% 28.97/4.12 cnf(p913, plain, (distinct_lines(sk2,X0) | distinct_lines(sk1,X0) | ~spl73), inference(resolution, [status(thm)], [p892, c4])).
% 28.97/4.12 cnf(p1099, plain, (distinct_lines(sk1,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | ~spl0 | ~spl73), inference(resolution, [status(thm)], [p913, p89])).
% 28.97/4.12 cnf(ssp135, plain, (~spl0 | ~spl73 | spl18 | spl20 | spl32), inference(avatar_split_clause, [status(thm)], [p1099, sdef18, sdef20, sdef32])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p1101, plain, (convergent_lines(sk2,sk1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,sk3)) | ~spl1), inference(resolution, [status(thm)], [p111, p20])).
% 28.97/4.12 cnf(ssp136, plain, (~spl1 | spl73 | spl77), inference(avatar_split_clause, [status(thm)], [p1101, sdef73, sdef77])).
% 28.97/4.12 cnf(p1103, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,sk1)) | convergent_lines(sk2,sk1) | ~spl1), inference(resolution, [status(thm)], [p20, p70])).
% 28.97/4.12 cnf(ssp137, plain, (~spl1 | spl73 | spl83), inference(avatar_split_clause, [status(thm)], [p1103, sdef73, sdef83])).
% 28.97/4.12 cnf(p1104, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk1)) | distinct_lines(sk3,sk1) | ~spl1), inference(resolution, [status(thm)], [p20, p72])).
% 28.97/4.12 cnf(ssp138, plain, (~spl1 | spl72 | spl85), inference(avatar_split_clause, [status(thm)], [p1104, sdef72, sdef85])).
% 28.97/4.12 cnf(p1105, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk1)) | convergent_lines(sk0,X0) | convergent_lines(sk1,sk1) | ~spl1), inference(resolution, [status(thm)], [p20, p75])).
% 28.97/4.12 fof(sdef103, definition, (spl103 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk1)) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl103])], [avatar_definition])).
% 28.97/4.12 cnf(ssp139, plain, (~spl1 | spl90 | spl103), inference(avatar_split_clause, [status(thm)], [p1105, sdef90, sdef103])).
% 28.97/4.12 cnf(p1109, plain, (convergent_lines(sk2,sk1) | convergent_lines(sk3,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,X0)) | ~spl1), inference(resolution, [status(thm)], [p20, p103])).
% 28.97/4.12 fof(sdef104, definition, (spl104 <=> (convergent_lines(sk3,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,X0)))), introduced(definition, [new_symbols(naming, [spl104])], [avatar_definition])).
% 28.97/4.12 cnf(ssp140, plain, (~spl1 | spl73 | spl104), inference(avatar_split_clause, [status(thm)], [p1109, sdef73, sdef104])).
% 28.97/4.12 cnf(p1111, plain, (convergent_lines(sk3,X0) | convergent_lines(sk1,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk1)) | ~spl1), inference(resolution, [status(thm)], [p20, p104])).
% 28.97/4.12 cnf(ssp141, plain, (~spl1 | spl72 | spl79), inference(avatar_split_clause, [status(thm)], [p1111, sdef72, sdef79])).
% 28.97/4.12 cnf(p1112, plain, (convergent_lines(sk2,X0) | convergent_lines(X0,sk1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,sk1)) | ~spl1), inference(resolution, [status(thm)], [p20, p105])).
% 28.97/4.12 cnf(ssp142, plain, (~spl1 | spl83 | spl96), inference(avatar_split_clause, [status(thm)], [p1112, sdef83, sdef96])).
% 28.97/4.12 cnf(p1113, plain, (convergent_lines(sk2,X0) | convergent_lines(sk3,sk1) | distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk1)) | ~spl1), inference(resolution, [status(thm)], [p20, p106])).
% 28.97/4.12 fof(sdef105, definition, (spl105 <=> (convergent_lines(sk2,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk1)))), introduced(definition, [new_symbols(naming, [spl105])], [avatar_definition])).
% 28.97/4.12 cnf(ssp143, plain, (~spl1 | spl84 | spl105), inference(avatar_split_clause, [status(thm)], [p1113, sdef84, sdef105])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p1128, plain, (convergent_lines(sk1,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk1)) | ~spl1), inference(resolution, [status(thm)], [p112, p20])).
% 28.97/4.12 cnf(ssp144, plain, (~spl1 | spl72 | spl82), inference(avatar_split_clause, [status(thm)], [p1128, sdef72, sdef82])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p1147, plain, (convergent_lines(sk2,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk3)) | distinct_lines(sk1,sk3) | ~spl1), inference(resolution, [status(thm)], [p113, p130])).
% 28.97/4.12 cnf(ssp145, plain, (~spl1 | spl6 | spl99), inference(avatar_split_clause, [status(thm)], [p1147, sdef6, sdef99])).
% 28.97/4.12 cnf(p107, plain, convergent_lines(X0,sk3) | distinct_lines(sk2,X0), inference(resolution, [status(thm)], [p94, c13])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p1161, plain, (distinct_lines(sk2,sk1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,sk3)) | ~spl1), inference(resolution, [status(thm)], [p116, p20])).
% 28.97/4.12 cnf(ssp146, plain, (~spl1 | spl74 | spl77), inference(avatar_split_clause, [status(thm)], [p1161, sdef74, sdef77])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p1173, plain, (distinct_lines(sk2,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk3)) | distinct_lines(sk1,sk3) | ~spl1), inference(resolution, [status(thm)], [p117, p130])).
% 28.97/4.12 cnf(ssp147, plain, (~spl1 | spl6 | spl106), inference(avatar_split_clause, [status(thm)], [p1173, sdef6, sdef106])).
% 28.97/4.12 cnf(p119, plain, distinct_lines(X0,sk3) | ~apart_point_and_line(X1,sk2) | distinct_points(X1,intersection_point(sk2,X0)), inference(resolution, [status(thm)], [p108, c8])).
% 28.97/4.12 cnf(p1178, plain, (distinct_lines(X0,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X0)) | distinct_lines(sk1,sk2) | ~spl1), inference(resolution, [status(thm)], [p119, p130])).
% 28.97/4.12 cnf(ssp148, plain, (~spl1 | spl5 | spl107), inference(avatar_split_clause, [status(thm)], [p1178, sdef5, sdef107])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p1192, plain, (distinct_lines(sk1,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk1)) | ~spl1), inference(resolution, [status(thm)], [p120, p20])).
% 28.97/4.12 cnf(ssp149, plain, (~spl1 | spl6 | spl72), inference(avatar_split_clause, [status(thm)], [p1192, sdef6, sdef72])).
% 28.97/4.12 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)).
% 28.97/4.12 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])).
% 28.97/4.12 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])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p115, plain, (distinct_points(intersection_point(sk2,sk3),X0) | apart_point_and_line(X0,sk1) | ~spl1), inference(resolution, [status(thm)], [c11, p20])).
% 28.97/4.12 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)).
% 28.97/4.12 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])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(c3, plain, ~distinct_points(X0,X1) | distinct_points(X0,X2) | distinct_points(X1,X2), inference(cnf_transformation, [status(esa)], [f3_sk])).
% 28.97/4.12 cnf(p125, plain, (apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk2,sk3),X1) | distinct_points(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p115, c3])).
% 28.97/4.12 cnf(p1220, plain, (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X1,X0) | distinct_points(X1,intersection_point(sk3,sk1)) | convergent_lines(sk2,sk1) | ~spl1), inference(resolution, [status(thm)], [p125, p70])).
% 28.97/4.12 fof(sdef108, definition, (spl108 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X1,X0) | distinct_points(X1,intersection_point(sk3,sk1)))), introduced(definition, [new_symbols(naming, [spl108])], [avatar_definition])).
% 28.97/4.12 cnf(ssp150, plain, (~spl1 | spl73 | spl108), inference(avatar_split_clause, [status(thm)], [p1220, sdef73, sdef108])).
% 28.97/4.12 cnf(p1222, plain, (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X1,X0) | distinct_points(X1,intersection_point(sk2,sk1)) | distinct_lines(sk3,sk1) | ~spl1), inference(resolution, [status(thm)], [p125, p72])).
% 28.97/4.12 fof(sdef109, definition, (spl109 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X1,X0) | distinct_points(X1,intersection_point(sk2,sk1)))), introduced(definition, [new_symbols(naming, [spl109])], [avatar_definition])).
% 28.97/4.12 cnf(ssp151, plain, (~spl1 | spl85 | spl109), inference(avatar_split_clause, [status(thm)], [p1222, sdef85, sdef109])).
% 28.97/4.12 cnf(p1224, plain, (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X1,X0) | distinct_points(X1,intersection_point(X2,sk1)) | convergent_lines(sk0,X2) | convergent_lines(sk1,sk1) | ~spl1), inference(resolution, [status(thm)], [p125, p75])).
% 28.97/4.12 fof(sdef110, definition, (spl110 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X1,X0) | distinct_points(X1,intersection_point(X2,sk1)) | convergent_lines(sk0,X2))), introduced(definition, [new_symbols(naming, [spl110])], [avatar_definition])).
% 28.97/4.12 cnf(ssp152, plain, (~spl1 | spl90 | spl110), inference(avatar_split_clause, [status(thm)], [p1224, sdef90, sdef110])).
% 28.97/4.12 cnf(p1228, plain, (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X1,X0) | convergent_lines(sk2,sk1) | convergent_lines(sk3,X2) | distinct_points(X1,intersection_point(sk1,X2)) | ~spl1), inference(resolution, [status(thm)], [p125, p103])).
% 28.97/4.12 fof(sdef111, definition, (spl111 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X1,X0) | convergent_lines(sk3,X2) | distinct_points(X1,intersection_point(sk1,X2)))), introduced(definition, [new_symbols(naming, [spl111])], [avatar_definition])).
% 28.97/4.12 cnf(ssp153, plain, (~spl1 | spl73 | spl111), inference(avatar_split_clause, [status(thm)], [p1228, sdef73, sdef111])).
% 28.97/4.12 cnf(p1230, plain, (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X1,X0) | convergent_lines(sk3,X2) | convergent_lines(sk1,X2) | distinct_points(X1,intersection_point(sk2,sk1)) | ~spl1), inference(resolution, [status(thm)], [p125, p104])).
% 28.97/4.12 cnf(ssp154, plain, (~spl1 | spl79 | spl109), inference(avatar_split_clause, [status(thm)], [p1230, sdef79, sdef109])).
% 28.97/4.12 cnf(p1231, plain, (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X1,X0) | convergent_lines(sk2,X2) | convergent_lines(X2,sk1) | distinct_points(X1,intersection_point(sk3,sk1)) | ~spl1), inference(resolution, [status(thm)], [p125, p105])).
% 28.97/4.12 cnf(ssp155, plain, (~spl1 | spl96 | spl108), inference(avatar_split_clause, [status(thm)], [p1231, sdef96, sdef108])).
% 28.97/4.12 cnf(p1232, plain, (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X1,X0) | convergent_lines(sk2,X2) | convergent_lines(sk3,sk1) | distinct_points(X1,intersection_point(X2,sk1)) | ~spl1), inference(resolution, [status(thm)], [p125, p106])).
% 28.97/4.12 fof(sdef112, definition, (spl112 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X1,X0) | convergent_lines(sk2,X2) | distinct_points(X1,intersection_point(X2,sk1)))), introduced(definition, [new_symbols(naming, [spl112])], [avatar_definition])).
% 28.97/4.12 cnf(ssp156, plain, (~spl1 | spl84 | spl112), inference(avatar_split_clause, [status(thm)], [p1232, sdef84, sdef112])).
% 28.97/4.12 cnf(p1234, plain, (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X1,X0) | convergent_lines(sk2,sk1) | distinct_points(X1,intersection_point(sk1,sk3)) | ~spl1), inference(resolution, [status(thm)], [p125, p111])).
% 28.97/4.12 fof(sdef113, definition, (spl113 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X1,X0) | distinct_points(X1,intersection_point(sk1,sk3)))), introduced(definition, [new_symbols(naming, [spl113])], [avatar_definition])).
% 28.97/4.12 cnf(ssp157, plain, (~spl1 | spl73 | spl113), inference(avatar_split_clause, [status(thm)], [p1234, sdef73, sdef113])).
% 28.97/4.12 cnf(p1236, plain, (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X1,X0) | convergent_lines(sk1,sk3) | distinct_points(X1,intersection_point(sk2,sk1)) | ~spl1), inference(resolution, [status(thm)], [p125, p112])).
% 28.97/4.12 cnf(ssp158, plain, (~spl1 | spl82 | spl109), inference(avatar_split_clause, [status(thm)], [p1236, sdef82, sdef109])).
% 28.97/4.12 cnf(p1237, plain, (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X1,X0) | distinct_lines(sk2,sk1) | distinct_points(X1,intersection_point(sk1,sk3)) | ~spl1), inference(resolution, [status(thm)], [p125, p116])).
% 28.97/4.12 cnf(ssp159, plain, (~spl1 | spl74 | spl113), inference(avatar_split_clause, [status(thm)], [p1237, sdef74, sdef113])).
% 28.97/4.12 cnf(p1238, plain, (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X1,X0) | distinct_lines(sk1,sk3) | distinct_points(X1,intersection_point(sk2,sk1)) | ~spl1), inference(resolution, [status(thm)], [p125, p120])).
% 28.97/4.12 cnf(ssp160, plain, (~spl1 | spl6 | spl109), inference(avatar_split_clause, [status(thm)], [p1238, sdef6, sdef109])).
% 28.97/4.12 cnf(p126, plain, (apart_point_and_line(X0,sk1) | ~apart_point_and_line(X1,line_connecting(intersection_point(sk2,sk3),X0)) | distinct_points(X1,intersection_point(sk2,sk3)) | ~spl1), inference(resolution, [status(thm)], [p115, c6])).
% 28.97/4.12 cnf(p1249, plain, (apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk3)) | distinct_lines(sk1,line_connecting(intersection_point(sk2,sk3),X0)) | ~spl1), inference(resolution, [status(thm)], [p126, p130])).
% 28.97/4.12 fof(sdef114, definition, (spl114 <=> (apart_point_and_line(X0,sk1) | distinct_lines(sk1,line_connecting(intersection_point(sk2,sk3),X0)))), introduced(definition, [new_symbols(naming, [spl114])], [avatar_definition])).
% 28.97/4.12 cnf(ssp161, plain, (~spl1 | spl3 | spl114), inference(avatar_split_clause, [status(thm)], [p1249, sdef3, sdef114])).
% 28.97/4.12 cnf(p128, plain, (apart_point_and_line(X0,sk1) | ~distinct_lines(X1,X2) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk2,sk3),X2) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,X2) | ~spl1), inference(resolution, [status(thm)], [p115, c10])).
% 28.97/4.12 cnf(p1282, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk3) | ~spl1), inference(resolution, [status(thm)], [p128, p22])).
% 28.97/4.12 fof(sdef115, definition, (spl115 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk3))), introduced(definition, [new_symbols(naming, [spl115])], [avatar_definition])).
% 28.97/4.12 cnf(ssp162, plain, (~spl1 | spl18 | spl19 | spl115), inference(avatar_split_clause, [status(thm)], [p1282, sdef18, sdef19, sdef115])).
% 28.97/4.12 cnf(p1284, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | distinct_lines(sk2,X1) | ~spl1), inference(resolution, [status(thm)], [p128, p24])).
% 28.97/4.12 fof(sdef116, definition, (spl116 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | distinct_lines(sk2,X1))), introduced(definition, [new_symbols(naming, [spl116])], [avatar_definition])).
% 28.97/4.12 cnf(ssp163, plain, (~spl1 | spl19 | spl116), inference(avatar_split_clause, [status(thm)], [p1284, sdef19, sdef116])).
% 28.97/4.12 cnf(p1286, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),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])).
% 28.97/4.12 fof(sdef117, definition, (spl117 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),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, [spl117])], [avatar_definition])).
% 28.97/4.12 cnf(ssp164, plain, (~spl1 | spl0 | spl117), inference(avatar_split_clause, [status(thm)], [p1286, sdef0, sdef117])).
% 28.97/4.12 cnf(p1288, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk1) | ~spl1), inference(resolution, [status(thm)], [p128, p37])).
% 28.97/4.12 fof(sdef118, definition, (spl118 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk1))), introduced(definition, [new_symbols(naming, [spl118])], [avatar_definition])).
% 28.97/4.12 cnf(ssp165, plain, (~spl1 | spl0 | spl118), inference(avatar_split_clause, [status(thm)], [p1288, sdef0, sdef118])).
% 28.97/4.12 cnf(p1290, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),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])).
% 28.97/4.12 fof(sdef119, definition, (spl119 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),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, [spl119])], [avatar_definition])).
% 28.97/4.12 cnf(ssp166, plain, (~spl1 | spl18 | spl119), inference(avatar_split_clause, [status(thm)], [p1290, sdef18, sdef119])).
% 28.97/4.12 cnf(p1292, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X1) | ~spl1), inference(resolution, [status(thm)], [p128, p28])).
% 28.97/4.12 fof(sdef120, definition, (spl120 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X1))), introduced(definition, [new_symbols(naming, [spl120])], [avatar_definition])).
% 28.97/4.12 cnf(ssp167, plain, (~spl1 | spl19 | spl120), inference(avatar_split_clause, [status(thm)], [p1292, sdef19, sdef120])).
% 28.97/4.12 cnf(p1295, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk3) | ~spl1), inference(resolution, [status(thm)], [p128, p42])).
% 28.97/4.12 fof(sdef121, definition, (spl121 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk3))), introduced(definition, [new_symbols(naming, [spl121])], [avatar_definition])).
% 28.97/4.12 cnf(ssp168, plain, (~spl1 | spl18 | spl121), inference(avatar_split_clause, [status(thm)], [p1295, sdef18, sdef121])).
% 28.97/4.12 cnf(p1297, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | ~spl1 | ~spl2), inference(resolution, [status(thm)], [p128, p132])).
% 28.97/4.12 fof(sdef122, definition, (spl122 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2))), introduced(definition, [new_symbols(naming, [spl122])], [avatar_definition])).
% 28.97/4.12 cnf(ssp169, plain, (~spl1 | ~spl2 | spl0 | spl18 | spl122), inference(avatar_split_clause, [status(thm)], [p1297, sdef0, sdef18, sdef122])).
% 28.97/4.12 cnf(p1299, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk3) | ~spl1 | ~spl4), inference(resolution, [status(thm)], [p128, p135])).
% 28.97/4.12 fof(sdef123, definition, (spl123 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk3))), introduced(definition, [new_symbols(naming, [spl123])], [avatar_definition])).
% 28.97/4.12 cnf(ssp170, plain, (~spl1 | ~spl4 | spl0 | spl19 | spl123), inference(avatar_split_clause, [status(thm)], [p1299, sdef0, sdef19, sdef123])).
% 28.97/4.12 cnf(p1301, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),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])).
% 28.97/4.12 fof(sdef124, definition, (spl124 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X1))), introduced(definition, [new_symbols(naming, [spl124])], [avatar_definition])).
% 28.97/4.12 cnf(ssp171, plain, (~spl1 | ~spl2 | spl18 | spl124), inference(avatar_split_clause, [status(thm)], [p1301, sdef18, sdef124])).
% 28.97/4.12 cnf(p1303, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X1) | ~spl1 | ~spl4), inference(resolution, [status(thm)], [p128, p139])).
% 28.97/4.12 fof(sdef125, definition, (spl125 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X1))), introduced(definition, [new_symbols(naming, [spl125])], [avatar_definition])).
% 28.97/4.12 cnf(ssp172, plain, (~spl1 | ~spl4 | spl19 | spl125), inference(avatar_split_clause, [status(thm)], [p1303, sdef19, sdef125])).
% 28.97/4.12 cnf(p1305, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk2) | ~spl1), inference(resolution, [status(thm)], [p128, p166])).
% 28.97/4.12 fof(sdef126, definition, (spl126 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk2))), introduced(definition, [new_symbols(naming, [spl126])], [avatar_definition])).
% 28.97/4.12 cnf(ssp173, plain, (~spl1 | spl19 | spl126), inference(avatar_split_clause, [status(thm)], [p1305, sdef19, sdef126])).
% 28.97/4.12 cnf(p1307, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk2) | distinct_lines(sk3,X1) | ~spl1), inference(resolution, [status(thm)], [p128, p166])).
% 28.97/4.12 fof(sdef127, definition, (spl127 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk2) | distinct_lines(sk3,X1))), introduced(definition, [new_symbols(naming, [spl127])], [avatar_definition])).
% 28.97/4.12 cnf(ssp174, plain, (~spl1 | spl18 | spl127), inference(avatar_split_clause, [status(thm)], [p1307, sdef18, sdef127])).
% 28.97/4.12 cnf(p1309, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),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])).
% 28.97/4.12 fof(sdef128, definition, (spl128 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),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, [spl128])], [avatar_definition])).
% 28.97/4.12 cnf(ssp175, plain, (~spl1 | spl0 | spl128), inference(avatar_split_clause, [status(thm)], [p1309, sdef0, sdef128])).
% 28.97/4.12 cnf(p1312, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),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])).
% 28.97/4.12 fof(sdef129, definition, (spl129 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),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, [spl129])], [avatar_definition])).
% 28.97/4.12 cnf(ssp176, plain, (~spl1 | spl0 | spl129), inference(avatar_split_clause, [status(thm)], [p1312, sdef0, sdef129])).
% 28.97/4.12 cnf(p1315, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),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])).
% 28.97/4.12 fof(sdef130, definition, (spl130 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),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, [spl130])], [avatar_definition])).
% 28.97/4.12 cnf(ssp177, plain, (~spl1 | spl0 | spl130), inference(avatar_split_clause, [status(thm)], [p1315, sdef0, sdef130])).
% 28.97/4.12 cnf(p1317, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk3) | distinct_lines(sk2,X2) | distinct_lines(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p128, p46])).
% 28.97/4.12 fof(sdef131, definition, (spl131 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk3) | distinct_lines(sk2,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl131])], [avatar_definition])).
% 28.97/4.12 cnf(ssp178, plain, (~spl1 | spl19 | spl131), inference(avatar_split_clause, [status(thm)], [p1317, sdef19, sdef131])).
% 28.97/4.12 cnf(p1319, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),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])).
% 28.97/4.12 fof(sdef132, definition, (spl132 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),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, [spl132])], [avatar_definition])).
% 28.97/4.12 cnf(ssp179, plain, (~spl1 | spl18 | spl132), inference(avatar_split_clause, [status(thm)], [p1319, sdef18, sdef132])).
% 28.97/4.12 cnf(p1322, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),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])).
% 28.97/4.12 fof(sdef133, definition, (spl133 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),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, [spl133])], [avatar_definition])).
% 28.97/4.12 cnf(ssp180, plain, (~spl1 | spl0 | spl133), inference(avatar_split_clause, [status(thm)], [p1322, sdef0, sdef133])).
% 28.97/4.12 cnf(p1324, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | distinct_lines(X2,X1) | distinct_lines(sk2,X3) | distinct_lines(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p128, p43])).
% 28.97/4.12 fof(sdef134, definition, (spl134 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | distinct_lines(X2,X1) | distinct_lines(sk2,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl134])], [avatar_definition])).
% 28.97/4.12 cnf(ssp181, plain, (~spl1 | spl19 | spl134), inference(avatar_split_clause, [status(thm)], [p1324, sdef19, sdef134])).
% 28.97/4.12 cnf(p1327, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),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])).
% 28.97/4.12 fof(sdef135, definition, (spl135 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),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, [spl135])], [avatar_definition])).
% 28.97/4.12 cnf(ssp182, plain, (~spl1 | spl18 | spl135), inference(avatar_split_clause, [status(thm)], [p1327, sdef18, sdef135])).
% 28.97/4.12 cnf(p1331, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),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])).
% 28.97/4.12 fof(sdef136, definition, (spl136 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),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, [spl136])], [avatar_definition])).
% 28.97/4.12 cnf(ssp183, plain, (~spl1 | spl18 | spl136), inference(avatar_split_clause, [status(thm)], [p1331, sdef18, sdef136])).
% 28.97/4.12 cnf(p1333, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X1) | ~spl1), inference(resolution, [status(thm)], [p128, p44])).
% 28.97/4.12 fof(sdef137, definition, (spl137 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X1))), introduced(definition, [new_symbols(naming, [spl137])], [avatar_definition])).
% 28.97/4.12 cnf(ssp184, plain, (~spl1 | spl19 | spl137), inference(avatar_split_clause, [status(thm)], [p1333, sdef19, sdef137])).
% 28.97/4.12 cnf(p1336, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),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])).
% 28.97/4.12 fof(sdef138, definition, (spl138 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),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, [spl138])], [avatar_definition])).
% 28.97/4.12 cnf(ssp185, plain, (~spl1 | spl18 | spl138), inference(avatar_split_clause, [status(thm)], [p1336, sdef18, sdef138])).
% 28.97/4.12 cnf(p1338, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X3) | distinct_lines(X1,X3) | ~spl1), inference(resolution, [status(thm)], [p128, p45])).
% 28.97/4.12 fof(sdef139, definition, (spl139 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X3) | distinct_lines(X1,X3))), introduced(definition, [new_symbols(naming, [spl139])], [avatar_definition])).
% 28.97/4.12 cnf(ssp186, plain, (~spl1 | spl19 | spl139), inference(avatar_split_clause, [status(thm)], [p1338, sdef19, sdef139])).
% 28.97/4.12 cnf(p1342, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),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, p150])).
% 28.97/4.12 fof(sdef140, definition, (spl140 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),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, [spl140])], [avatar_definition])).
% 28.97/4.12 cnf(ssp187, plain, (~spl1 | ~spl2 | spl0 | spl140), inference(avatar_split_clause, [status(thm)], [p1342, sdef0, sdef140])).
% 28.97/4.12 cnf(p1344, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),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, p150])).
% 28.97/4.12 fof(sdef141, definition, (spl141 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),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, [spl141])], [avatar_definition])).
% 28.97/4.12 cnf(ssp188, plain, (~spl1 | ~spl2 | spl18 | spl141), inference(avatar_split_clause, [status(thm)], [p1344, sdef18, sdef141])).
% 28.97/4.12 cnf(p1347, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk2) | ~spl1 | ~spl2), inference(resolution, [status(thm)], [p128, p356])).
% 28.97/4.12 fof(sdef142, definition, (spl142 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk2))), introduced(definition, [new_symbols(naming, [spl142])], [avatar_definition])).
% 28.97/4.12 cnf(ssp189, plain, (~spl1 | ~spl2 | spl0 | spl142), inference(avatar_split_clause, [status(thm)], [p1347, sdef0, sdef142])).
% 28.97/4.12 cnf(p362, plain, (distinct_lines(sk0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl10), inference(avatar_component_clause, [status(thm)], [sdef10])).
% 28.97/4.12 cnf(p1349, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl1 | ~spl10), inference(resolution, [status(thm)], [p128, p362])).
% 28.97/4.12 fof(sdef143, definition, (spl143 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))))), introduced(definition, [new_symbols(naming, [spl143])], [avatar_definition])).
% 28.97/4.12 cnf(ssp190, plain, (~spl1 | ~spl10 | spl0 | spl49 | spl143), inference(avatar_split_clause, [status(thm)], [p1349, sdef0, sdef49, sdef143])).
% 28.97/4.12 cnf(p1351, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X1,X2) | ~spl1 | ~spl4), inference(resolution, [status(thm)], [p128, p151])).
% 28.97/4.12 fof(sdef144, definition, (spl144 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),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, [spl144])], [avatar_definition])).
% 28.97/4.12 cnf(ssp191, plain, (~spl1 | ~spl4 | spl0 | spl144), inference(avatar_split_clause, [status(thm)], [p1351, sdef0, sdef144])).
% 28.97/4.12 cnf(p1353, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X1) | ~spl1 | ~spl4), inference(resolution, [status(thm)], [p128, p151])).
% 28.97/4.12 fof(sdef145, definition, (spl145 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X1))), introduced(definition, [new_symbols(naming, [spl145])], [avatar_definition])).
% 28.97/4.12 cnf(ssp192, plain, (~spl1 | ~spl4 | spl19 | spl145), inference(avatar_split_clause, [status(thm)], [p1353, sdef19, sdef145])).
% 28.97/4.12 cnf(p1356, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk3) | ~spl1 | ~spl4), inference(resolution, [status(thm)], [p128, p367])).
% 28.97/4.12 fof(sdef146, definition, (spl146 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk3))), introduced(definition, [new_symbols(naming, [spl146])], [avatar_definition])).
% 28.97/4.12 cnf(ssp193, plain, (~spl1 | ~spl4 | spl0 | spl146), inference(avatar_split_clause, [status(thm)], [p1356, sdef0, sdef146])).
% 28.97/4.12 cnf(p1358, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | convergent_lines(sk2,X2) | distinct_lines(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p128, p159])).
% 28.97/4.12 fof(sdef147, definition, (spl147 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | convergent_lines(sk2,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl147])], [avatar_definition])).
% 28.97/4.12 cnf(ssp194, plain, (~spl1 | spl19 | spl147), inference(avatar_split_clause, [status(thm)], [p1358, sdef19, sdef147])).
% 28.97/4.12 cnf(p1361, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X1) | ~spl1), inference(resolution, [status(thm)], [p128, p169])).
% 28.97/4.12 fof(sdef148, definition, (spl148 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X1))), introduced(definition, [new_symbols(naming, [spl148])], [avatar_definition])).
% 28.97/4.12 cnf(ssp195, plain, (~spl1 | spl19 | spl148), inference(avatar_split_clause, [status(thm)], [p1361, sdef19, sdef148])).
% 28.97/4.12 cnf(p1364, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X2,X1) | ~spl1), inference(resolution, [status(thm)], [p128, p170])).
% 28.97/4.12 fof(sdef149, definition, (spl149 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X2,X1))), introduced(definition, [new_symbols(naming, [spl149])], [avatar_definition])).
% 28.97/4.12 cnf(ssp196, plain, (~spl1 | spl18 | spl149), inference(avatar_split_clause, [status(thm)], [p1364, sdef18, sdef149])).
% 28.97/4.12 cnf(p188, plain, distinct_lines(sk0,X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk1), inference(resolution, [status(thm)], [p39, c1])).
% 28.97/4.12 cnf(p1366, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),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, p188])).
% 28.97/4.12 fof(sdef150, definition, (spl150 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),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, [spl150])], [avatar_definition])).
% 28.97/4.12 cnf(ssp197, plain, (~spl1 | spl0 | spl150), inference(avatar_split_clause, [status(thm)], [p1366, sdef0, sdef150])).
% 28.97/4.12 cnf(p58, plain, convergent_lines(sk1,X0) | convergent_lines(X1,X0) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p30, c13])).
% 28.97/4.12 cnf(p204, plain, convergent_lines(sk1,X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p58, c13])).
% 28.97/4.12 cnf(p1368, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),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, p204])).
% 28.97/4.12 fof(sdef151, definition, (spl151 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),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, [spl151])], [avatar_definition])).
% 28.97/4.12 cnf(ssp198, plain, (~spl1 | spl0 | spl151), inference(avatar_split_clause, [status(thm)], [p1368, sdef0, sdef151])).
% 28.97/4.12 cnf(p1372, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),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, p248])).
% 28.97/4.12 fof(sdef152, definition, (spl152 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),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, [spl152])], [avatar_definition])).
% 28.97/4.12 cnf(ssp199, plain, (~spl1 | spl18 | spl152), inference(avatar_split_clause, [status(thm)], [p1372, sdef18, sdef152])).
% 28.97/4.12 cnf(p1375, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | convergent_lines(sk3,X2) | distinct_lines(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p128, p282])).
% 28.97/4.12 fof(sdef153, definition, (spl153 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | convergent_lines(sk3,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl153])], [avatar_definition])).
% 28.97/4.12 cnf(ssp200, plain, (~spl1 | spl18 | spl153), inference(avatar_split_clause, [status(thm)], [p1375, sdef18, sdef153])).
% 28.97/4.12 cnf(p1378, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | convergent_lines(sk2,X2) | distinct_lines(X2,X1) | ~spl1), inference(resolution, [status(thm)], [p128, p291])).
% 28.97/4.12 fof(sdef154, definition, (spl154 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | convergent_lines(sk2,X2) | distinct_lines(X2,X1))), introduced(definition, [new_symbols(naming, [spl154])], [avatar_definition])).
% 28.97/4.12 cnf(ssp201, plain, (~spl1 | spl19 | spl154), inference(avatar_split_clause, [status(thm)], [p1378, sdef19, sdef154])).
% 28.97/4.12 cnf(p528, plain, (convergent_lines(sk2,sk0) | ~spl15), inference(avatar_component_clause, [status(thm)], [sdef15])).
% 28.97/4.12 cnf(p530, plain, (distinct_lines(sk2,sk0) | ~spl15), inference(resolution, [status(thm)], [p528, c13])).
% 28.97/4.12 cnf(p1380, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk0) | ~spl1 | ~spl15), inference(resolution, [status(thm)], [p128, p530])).
% 28.97/4.12 cnf(ssp202, plain, (~spl1 | ~spl15 | spl0 | spl18 | spl122), inference(avatar_split_clause, [status(thm)], [p1380, sdef0, sdef18, sdef122])).
% 28.97/4.12 cnf(p534, plain, (distinct_lines(sk2,X0) | distinct_lines(sk0,X0) | ~spl15), inference(resolution, [status(thm)], [p530, c4])).
% 28.97/4.12 cnf(p1381, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X1) | ~spl1 | ~spl15), inference(resolution, [status(thm)], [p128, p534])).
% 28.97/4.12 cnf(ssp203, plain, (~spl1 | ~spl15 | spl18 | spl124), inference(avatar_split_clause, [status(thm)], [p1381, sdef18, sdef124])).
% 28.97/4.12 cnf(p553, plain, (distinct_lines(sk3,sk0) | ~spl17), inference(avatar_component_clause, [status(thm)], [sdef17])).
% 28.97/4.12 cnf(p1382, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,sk0) | ~spl1 | ~spl17), inference(resolution, [status(thm)], [p128, p553])).
% 28.97/4.12 cnf(ssp204, plain, (~spl1 | ~spl17 | spl0 | spl19 | spl123), inference(avatar_split_clause, [status(thm)], [p1382, sdef0, sdef19, sdef123])).
% 28.97/4.12 cnf(p555, plain, (distinct_lines(sk3,X0) | distinct_lines(sk0,X0) | ~spl17), inference(resolution, [status(thm)], [p553, c4])).
% 28.97/4.12 cnf(p1383, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X1) | ~spl1 | ~spl17), inference(resolution, [status(thm)], [p128, p555])).
% 28.97/4.12 cnf(ssp205, plain, (~spl1 | ~spl17 | spl19 | spl125), inference(avatar_split_clause, [status(thm)], [p1383, sdef19, sdef125])).
% 28.97/4.12 cnf(p1386, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk2) | distinct_lines(sk0,X2) | distinct_lines(X1,X2) | ~spl1 | ~spl2), inference(resolution, [status(thm)], [p128, p360])).
% 28.97/4.12 fof(sdef155, definition, (spl155 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk2) | distinct_lines(sk0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl155])], [avatar_definition])).
% 28.97/4.12 cnf(ssp206, plain, (~spl1 | ~spl2 | spl18 | spl155), inference(avatar_split_clause, [status(thm)], [p1386, sdef18, sdef155])).
% 28.97/4.12 cnf(p1388, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X1) | ~spl1 | ~spl2), inference(resolution, [status(thm)], [p128, p360])).
% 28.97/4.12 fof(sdef156, definition, (spl156 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X1))), introduced(definition, [new_symbols(naming, [spl156])], [avatar_definition])).
% 28.97/4.12 cnf(ssp207, plain, (~spl1 | ~spl2 | spl0 | spl156), inference(avatar_split_clause, [status(thm)], [p1388, sdef0, sdef156])).
% 28.97/4.12 cnf(p1391, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk2) | distinct_lines(X1,sk0) | ~spl1 | ~spl2), inference(resolution, [status(thm)], [p128, p633])).
% 28.97/4.12 fof(sdef157, definition, (spl157 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk2) | distinct_lines(X1,sk0))), introduced(definition, [new_symbols(naming, [spl157])], [avatar_definition])).
% 28.97/4.12 cnf(ssp208, plain, (~spl1 | ~spl2 | spl18 | spl157), inference(avatar_split_clause, [status(thm)], [p1391, sdef18, sdef157])).
% 28.97/4.12 cnf(p1393, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk3) | distinct_lines(sk0,X2) | distinct_lines(X1,X2) | ~spl1 | ~spl4), inference(resolution, [status(thm)], [p128, p371])).
% 28.97/4.12 fof(sdef158, definition, (spl158 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk3) | distinct_lines(sk0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl158])], [avatar_definition])).
% 28.97/4.12 cnf(ssp209, plain, (~spl1 | ~spl4 | spl19 | spl158), inference(avatar_split_clause, [status(thm)], [p1393, sdef19, sdef158])).
% 28.97/4.12 cnf(p1395, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X2,sk3) | distinct_lines(X2,X1) | ~spl1 | ~spl4), inference(resolution, [status(thm)], [p128, p371])).
% 28.97/4.12 fof(sdef159, definition, (spl159 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X2,sk3) | distinct_lines(X2,X1))), introduced(definition, [new_symbols(naming, [spl159])], [avatar_definition])).
% 28.97/4.12 cnf(ssp210, plain, (~spl1 | ~spl4 | spl0 | spl159), inference(avatar_split_clause, [status(thm)], [p1395, sdef0, sdef159])).
% 28.97/4.12 cnf(p1398, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk3) | distinct_lines(X1,sk0) | ~spl1 | ~spl4), inference(resolution, [status(thm)], [p128, p638])).
% 28.97/4.12 fof(sdef160, definition, (spl160 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk3) | distinct_lines(X1,sk0))), introduced(definition, [new_symbols(naming, [spl160])], [avatar_definition])).
% 28.97/4.12 cnf(ssp211, plain, (~spl1 | ~spl4 | spl19 | spl160), inference(avatar_split_clause, [status(thm)], [p1398, sdef19, sdef160])).
% 28.97/4.12 cnf(p1400, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk2) | distinct_lines(sk1,X2) | distinct_lines(X1,X2) | ~spl1 | ~spl5), inference(resolution, [status(thm)], [p128, p405])).
% 28.97/4.12 fof(sdef161, definition, (spl161 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk2) | distinct_lines(sk1,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl161])], [avatar_definition])).
% 28.97/4.12 cnf(ssp212, plain, (~spl1 | ~spl5 | spl18 | spl161), inference(avatar_split_clause, [status(thm)], [p1400, sdef18, sdef161])).
% 28.97/4.12 cnf(p1402, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk2) | distinct_lines(X1,sk1) | ~spl1 | ~spl5), inference(resolution, [status(thm)], [p128, p652])).
% 28.97/4.12 fof(sdef162, definition, (spl162 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk2) | distinct_lines(X1,sk1))), introduced(definition, [new_symbols(naming, [spl162])], [avatar_definition])).
% 28.97/4.12 cnf(ssp213, plain, (~spl1 | ~spl5 | spl18 | spl162), inference(avatar_split_clause, [status(thm)], [p1402, sdef18, sdef162])).
% 28.97/4.12 cnf(p1404, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk3) | distinct_lines(sk1,X2) | distinct_lines(X1,X2) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p128, p423])).
% 28.97/4.12 fof(sdef163, definition, (spl163 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk3) | distinct_lines(sk1,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl163])], [avatar_definition])).
% 28.97/4.12 cnf(ssp214, plain, (~spl1 | ~spl6 | spl19 | spl163), inference(avatar_split_clause, [status(thm)], [p1404, sdef19, sdef163])).
% 28.97/4.12 cnf(p1406, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk3) | distinct_lines(X1,sk1) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p128, p668])).
% 28.97/4.12 fof(sdef164, definition, (spl164 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,sk3) | distinct_lines(X1,sk1))), introduced(definition, [new_symbols(naming, [spl164])], [avatar_definition])).
% 28.97/4.12 cnf(ssp215, plain, (~spl1 | ~spl6 | spl19 | spl164), inference(avatar_split_clause, [status(thm)], [p1406, sdef19, sdef164])).
% 28.97/4.12 cnf(p231, plain, convergent_lines(X0,sk1) | convergent_lines(X0,X1) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p78, c13])).
% 28.97/4.12 cnf(p447, plain, convergent_lines(X0,sk1) | distinct_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p231, c13])).
% 28.97/4.12 cnf(p1408, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | convergent_lines(X2,sk1) | distinct_lines(X2,X1) | ~spl1), inference(resolution, [status(thm)], [p128, p447])).
% 28.97/4.12 fof(sdef165, definition, (spl165 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | convergent_lines(X2,sk1) | distinct_lines(X2,X1))), introduced(definition, [new_symbols(naming, [spl165])], [avatar_definition])).
% 28.97/4.12 cnf(ssp216, plain, (~spl1 | spl0 | spl165), inference(avatar_split_clause, [status(thm)], [p1408, sdef0, sdef165])).
% 28.97/4.12 cnf(p531, plain, (convergent_lines(sk2,X0) | convergent_lines(sk0,X0) | ~spl15), inference(resolution, [status(thm)], [p528, c5])).
% 28.97/4.12 cnf(p541, plain, (convergent_lines(sk0,X0) | convergent_lines(sk2,X1) | convergent_lines(X0,X1) | ~spl15), inference(resolution, [status(thm)], [p531, c5])).
% 28.97/4.12 cnf(p707, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | ~spl15), inference(resolution, [status(thm)], [p541, c2])).
% 28.97/4.12 cnf(p720, plain, (convergent_lines(X0,sk2) | distinct_lines(sk0,X0) | ~spl15), inference(resolution, [status(thm)], [p707, c13])).
% 28.97/4.12 cnf(p727, plain, (distinct_lines(sk0,X0) | distinct_lines(X0,sk2) | ~spl15), inference(resolution, [status(thm)], [p720, c13])).
% 28.97/4.12 cnf(p1412, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(X1,sk2) | ~spl1 | ~spl15), inference(resolution, [status(thm)], [p128, p727])).
% 28.97/4.12 cnf(ssp217, plain, (~spl1 | ~spl15 | spl0 | spl142), inference(avatar_split_clause, [status(thm)], [p1412, sdef0, sdef142])).
% 28.97/4.12 cnf(p547, plain, (distinct_lines(sk0,X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl15), inference(resolution, [status(thm)], [p534, c4])).
% 28.97/4.12 cnf(p1413, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X1,X2) | ~spl1 | ~spl15), inference(resolution, [status(thm)], [p128, p547])).
% 28.97/4.12 cnf(ssp218, plain, (~spl1 | ~spl15 | spl0 | spl140), inference(avatar_split_clause, [status(thm)], [p1413, sdef0, sdef140])).
% 28.97/4.12 cnf(p1414, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X1) | ~spl1 | ~spl15), inference(resolution, [status(thm)], [p128, p547])).
% 28.97/4.12 cnf(ssp219, plain, (~spl1 | ~spl15 | spl18 | spl141), inference(avatar_split_clause, [status(thm)], [p1414, sdef18, sdef141])).
% 28.97/4.12 cnf(p862, plain, (convergent_lines(sk0,sk2) | ~spl64), inference(avatar_component_clause, [status(thm)], [sdef64])).
% 28.97/4.12 cnf(p884, plain, (distinct_lines(sk0,sk2) | ~spl64), inference(resolution, [status(thm)], [p862, c13])).
% 28.97/4.12 cnf(p1416, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | ~spl1 | ~spl64), inference(resolution, [status(thm)], [p128, p884])).
% 28.97/4.12 cnf(ssp220, plain, (~spl1 | ~spl64 | spl0 | spl18 | spl122), inference(avatar_split_clause, [status(thm)], [p1416, sdef0, sdef18, sdef122])).
% 28.97/4.12 cnf(p934, plain, (convergent_lines(sk0,sk3) | ~spl75), inference(avatar_component_clause, [status(thm)], [sdef75])).
% 28.97/4.12 cnf(p954, plain, (distinct_lines(sk0,sk3) | ~spl75), inference(resolution, [status(thm)], [p934, c13])).
% 28.97/4.12 cnf(p1417, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk3) | ~spl1 | ~spl75), inference(resolution, [status(thm)], [p128, p954])).
% 28.97/4.12 cnf(ssp221, plain, (~spl1 | ~spl75 | spl0 | spl19 | spl123), inference(avatar_split_clause, [status(thm)], [p1417, sdef0, sdef19, sdef123])).
% 28.97/4.12 cnf(p872, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | ~spl69), inference(avatar_component_clause, [status(thm)], [sdef69])).
% 28.97/4.12 cnf(p1032, plain, (convergent_lines(sk0,sk2) | ~spl69), inference(resolution, [status(thm)], [p872, c2])).
% 28.97/4.12 cnf(p1041, plain, (distinct_lines(sk0,sk2) | ~spl69), inference(resolution, [status(thm)], [p1032, c13])).
% 28.97/4.12 cnf(p1418, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | ~spl1 | ~spl69), inference(resolution, [status(thm)], [p128, p1041])).
% 28.97/4.12 cnf(ssp222, plain, (~spl1 | ~spl69 | spl0 | spl18 | spl122), inference(avatar_split_clause, [status(thm)], [p1418, sdef0, sdef18, sdef122])).
% 28.97/4.12 cnf(p1080, plain, (convergent_lines(sk3,sk0) | ~spl98), inference(avatar_component_clause, [status(thm)], [sdef98])).
% 28.97/4.12 cnf(p1087, plain, (distinct_lines(sk3,sk0) | ~spl98), inference(resolution, [status(thm)], [p1080, c13])).
% 28.97/4.12 cnf(p1419, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,sk0) | ~spl1 | ~spl98), inference(resolution, [status(thm)], [p128, p1087])).
% 28.97/4.12 cnf(ssp223, plain, (~spl1 | ~spl98 | spl0 | spl19 | spl123), inference(avatar_split_clause, [status(thm)], [p1419, sdef0, sdef19, sdef123])).
% 28.97/4.12 cnf(p910, plain, (distinct_lines(sk0,X0) | distinct_lines(sk2,X0) | ~spl64), inference(resolution, [status(thm)], [p884, c4])).
% 28.97/4.12 cnf(p1420, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X1) | ~spl1 | ~spl64), inference(resolution, [status(thm)], [p128, p910])).
% 28.97/4.12 cnf(ssp224, plain, (~spl1 | ~spl64 | spl18 | spl124), inference(avatar_split_clause, [status(thm)], [p1420, sdef18, sdef124])).
% 28.97/4.12 cnf(p943, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk3) | ~spl80), inference(avatar_component_clause, [status(thm)], [sdef80])).
% 28.97/4.12 cnf(p1134, plain, (convergent_lines(sk0,sk3) | ~spl80), inference(resolution, [status(thm)], [p943, c2])).
% 28.97/4.12 cnf(p1143, plain, (distinct_lines(sk0,sk3) | ~spl80), inference(resolution, [status(thm)], [p1134, c13])).
% 28.97/4.12 cnf(p1421, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk3) | ~spl1 | ~spl80), inference(resolution, [status(thm)], [p128, p1143])).
% 28.97/4.12 cnf(ssp225, plain, (~spl1 | ~spl80 | spl0 | spl19 | spl123), inference(avatar_split_clause, [status(thm)], [p1421, sdef0, sdef19, sdef123])).
% 28.97/4.12 cnf(p979, plain, (distinct_lines(sk0,X0) | distinct_lines(sk3,X0) | ~spl75), inference(resolution, [status(thm)], [p954, c4])).
% 28.97/4.12 cnf(p1422, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X1) | ~spl1 | ~spl75), inference(resolution, [status(thm)], [p128, p979])).
% 28.97/4.12 cnf(ssp226, plain, (~spl1 | ~spl75 | spl19 | spl125), inference(avatar_split_clause, [status(thm)], [p1422, sdef19, sdef125])).
% 28.97/4.12 cnf(p1046, plain, (convergent_lines(sk3,X0) | convergent_lines(sk0,X0) | ~spl94), inference(avatar_component_clause, [status(thm)], [sdef94])).
% 28.97/4.12 cnf(p1239, plain, (convergent_lines(sk0,sk3) | ~spl94), inference(resolution, [status(thm)], [p1046, c2])).
% 28.97/4.12 cnf(p1244, plain, (distinct_lines(sk0,sk3) | ~spl94), inference(resolution, [status(thm)], [p1239, c13])).
% 28.97/4.12 cnf(p1423, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk3) | ~spl1 | ~spl94), inference(resolution, [status(thm)], [p128, p1244])).
% 28.97/4.12 cnf(ssp227, plain, (~spl1 | ~spl94 | spl0 | spl19 | spl123), inference(avatar_split_clause, [status(thm)], [p1423, sdef0, sdef19, sdef123])).
% 28.97/4.12 cnf(p1049, plain, (distinct_lines(sk0,X0) | distinct_lines(sk2,X0) | ~spl69), inference(resolution, [status(thm)], [p1041, c4])).
% 28.97/4.12 cnf(p1424, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X1) | ~spl1 | ~spl69), inference(resolution, [status(thm)], [p128, p1049])).
% 28.97/4.12 cnf(ssp228, plain, (~spl1 | ~spl69 | spl18 | spl124), inference(avatar_split_clause, [status(thm)], [p1424, sdef18, sdef124])).
% 28.97/4.12 cnf(p1063, plain, (convergent_lines(sk2,X0) | convergent_lines(X0,sk0) | ~spl95), inference(avatar_component_clause, [status(thm)], [sdef95])).
% 28.97/4.12 cnf(p1259, plain, (convergent_lines(sk2,sk0) | ~spl95), inference(resolution, [status(thm)], [p1063, c2])).
% 28.97/4.12 cnf(p1268, plain, (distinct_lines(sk2,sk0) | ~spl95), inference(resolution, [status(thm)], [p1259, c13])).
% 28.97/4.12 cnf(p1425, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk0) | ~spl1 | ~spl95), inference(resolution, [status(thm)], [p128, p1268])).
% 28.97/4.12 cnf(ssp229, plain, (~spl1 | ~spl95 | spl0 | spl18 | spl122), inference(avatar_split_clause, [status(thm)], [p1425, sdef0, sdef18, sdef122])).
% 28.97/4.12 cnf(p532, plain, (~apart_point_and_line(X0,sk2) | distinct_points(X0,intersection_point(sk2,sk0)) | ~spl15), inference(resolution, [status(thm)], [p528, c8])).
% 28.97/4.12 cnf(p1443, plain, (distinct_lines(sk1,sk2) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk0)) | ~spl1 | ~spl15), inference(resolution, [status(thm)], [p130, p532])).
% 28.97/4.12 cnf(ssp230, plain, (~spl1 | ~spl15 | spl5 | spl16), inference(avatar_split_clause, [status(thm)], [p1443, sdef5, sdef16])).
% 28.97/4.12 cnf(p539, plain, (convergent_lines(sk0,sk2) | ~spl15), inference(resolution, [status(thm)], [p531, c2])).
% 28.97/4.12 cnf(p546, plain, (~apart_point_and_line(X0,sk2) | distinct_points(X0,intersection_point(sk0,sk2)) | ~spl15), inference(resolution, [status(thm)], [p539, c9])).
% 28.97/4.12 cnf(p1444, plain, (distinct_lines(sk1,sk2) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk2)) | ~spl1 | ~spl15), inference(resolution, [status(thm)], [p130, p546])).
% 28.97/4.12 cnf(ssp231, plain, (~spl1 | ~spl15 | spl5 | spl67), inference(avatar_split_clause, [status(thm)], [p1444, sdef5, sdef67])).
% 28.97/4.12 cnf(p1448, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk3,X0) | convergent_lines(X1,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X1)) | ~spl1), inference(resolution, [status(thm)], [p130, p101])).
% 28.97/4.12 cnf(ssp232, plain, (~spl1 | spl5 | spl86), inference(avatar_split_clause, [status(thm)], [p1448, sdef5, sdef86])).
% 28.97/4.12 cnf(p1449, plain, (distinct_lines(sk1,sk3) | convergent_lines(sk2,X0) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,X1)) | ~spl1), inference(resolution, [status(thm)], [p130, p102])).
% 28.97/4.12 cnf(ssp233, plain, (~spl1 | spl6 | spl91), inference(avatar_split_clause, [status(thm)], [p1449, sdef6, sdef91])).
% 28.97/4.12 cnf(p1454, plain, (distinct_lines(sk1,sk2) | convergent_lines(X0,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X0)) | ~spl1), inference(resolution, [status(thm)], [p130, p110])).
% 28.97/4.12 cnf(ssp234, plain, (~spl1 | spl5 | spl102), inference(avatar_split_clause, [status(thm)], [p1454, sdef5, sdef102])).
% 28.97/4.12 cnf(p1092, plain, (distinct_lines(sk3,X0) | distinct_lines(sk0,X0) | ~spl98), inference(resolution, [status(thm)], [p1087, c4])).
% 28.97/4.12 cnf(p1459, plain, (distinct_lines(sk0,X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | ~spl1 | ~spl98), inference(resolution, [status(thm)], [p1092, p128])).
% 28.97/4.12 fof(sdef166, definition, (spl166 <=> (distinct_lines(sk0,X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0))), introduced(definition, [new_symbols(naming, [spl166])], [avatar_definition])).
% 28.97/4.12 cnf(ssp235, plain, (~spl1 | ~spl98 | spl19 | spl166), inference(avatar_split_clause, [status(thm)], [p1459, sdef19, sdef166])).
% 28.97/4.12 cnf(p1148, plain, (distinct_lines(sk0,X0) | distinct_lines(sk3,X0) | ~spl80), inference(resolution, [status(thm)], [p1143, c4])).
% 28.97/4.12 cnf(p1498, plain, (distinct_lines(sk0,X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | ~spl1 | ~spl80), inference(resolution, [status(thm)], [p1148, p128])).
% 28.97/4.12 cnf(ssp236, plain, (~spl1 | ~spl80 | spl19 | spl166), inference(avatar_split_clause, [status(thm)], [p1498, sdef19, sdef166])).
% 28.97/4.12 cnf(p1033, plain, (convergent_lines(X0,sk2) | distinct_lines(sk0,X0) | ~spl69), inference(resolution, [status(thm)], [p872, c13])).
% 28.97/4.12 cnf(p1195, plain, (distinct_lines(sk0,X0) | distinct_lines(X0,sk2) | ~spl69), inference(resolution, [status(thm)], [p1033, c13])).
% 28.97/4.12 cnf(p1511, plain, (distinct_lines(X0,sk2) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | ~spl1 | ~spl69), inference(resolution, [status(thm)], [p1195, p128])).
% 28.97/4.12 fof(sdef167, definition, (spl167 <=> (distinct_lines(X0,sk2) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0))), introduced(definition, [new_symbols(naming, [spl167])], [avatar_definition])).
% 28.97/4.12 cnf(ssp237, plain, (~spl1 | ~spl69 | spl0 | spl167), inference(avatar_split_clause, [status(thm)], [p1511, sdef0, sdef167])).
% 28.97/4.12 cnf(p1247, plain, (distinct_lines(sk0,X0) | distinct_lines(sk3,X0) | ~spl94), inference(resolution, [status(thm)], [p1244, c4])).
% 28.97/4.12 cnf(p1524, plain, (distinct_lines(sk0,X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | ~spl1 | ~spl94), inference(resolution, [status(thm)], [p1247, p128])).
% 28.97/4.12 cnf(ssp238, plain, (~spl1 | ~spl94 | spl19 | spl166), inference(avatar_split_clause, [status(thm)], [p1524, sdef19, sdef166])).
% 28.97/4.12 cnf(p1272, plain, (distinct_lines(sk2,X0) | distinct_lines(sk0,X0) | ~spl95), inference(resolution, [status(thm)], [p1268, c4])).
% 28.97/4.12 cnf(p1541, plain, (distinct_lines(sk0,X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | ~spl1 | ~spl95), inference(resolution, [status(thm)], [p1272, p128])).
% 28.97/4.12 fof(sdef168, definition, (spl168 <=> (distinct_lines(sk0,X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0))), introduced(definition, [new_symbols(naming, [spl168])], [avatar_definition])).
% 28.97/4.12 cnf(ssp239, plain, (~spl1 | ~spl95 | spl18 | spl168), inference(avatar_split_clause, [status(thm)], [p1541, sdef18, sdef168])).
% 28.97/4.12 cnf(p1135, plain, (convergent_lines(X0,sk3) | distinct_lines(sk0,X0) | ~spl80), inference(resolution, [status(thm)], [p943, c13])).
% 28.97/4.12 cnf(p1478, plain, (distinct_lines(sk0,X0) | distinct_lines(X0,sk3) | ~spl80), inference(resolution, [status(thm)], [p1135, c13])).
% 28.97/4.12 cnf(p1564, plain, (distinct_lines(X0,sk3) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | ~spl1 | ~spl80), inference(resolution, [status(thm)], [p1478, p128])).
% 28.97/4.12 fof(sdef169, definition, (spl169 <=> (distinct_lines(X0,sk3) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0))), introduced(definition, [new_symbols(naming, [spl169])], [avatar_definition])).
% 28.97/4.12 cnf(ssp240, plain, (~spl1 | ~spl80 | spl0 | spl169), inference(avatar_split_clause, [status(thm)], [p1564, sdef0, sdef169])).
% 28.97/4.12 cnf(p1260, plain, (convergent_lines(X0,sk0) | distinct_lines(sk2,X0) | ~spl95), inference(resolution, [status(thm)], [p1063, c13])).
% 28.97/4.12 cnf(p1525, plain, (distinct_lines(sk2,X0) | distinct_lines(X0,sk0) | ~spl95), inference(resolution, [status(thm)], [p1260, c13])).
% 28.97/4.12 cnf(p1584, plain, (distinct_lines(X0,sk0) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | ~spl1 | ~spl95), inference(resolution, [status(thm)], [p1525, p128])).
% 28.97/4.12 fof(sdef170, definition, (spl170 <=> (distinct_lines(X0,sk0) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0))), introduced(definition, [new_symbols(naming, [spl170])], [avatar_definition])).
% 28.97/4.12 cnf(ssp241, plain, (~spl1 | ~spl95 | spl18 | spl170), inference(avatar_split_clause, [status(thm)], [p1584, sdef18, sdef170])).
% 28.97/4.12 cnf(p1586, plain, (distinct_lines(sk2,X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | ~spl1 | ~spl95), inference(resolution, [status(thm)], [p1525, p128])).
% 28.97/4.12 fof(sdef171, definition, (spl171 <=> (distinct_lines(sk2,X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0))), introduced(definition, [new_symbols(naming, [spl171])], [avatar_definition])).
% 28.97/4.12 cnf(ssp242, plain, (~spl1 | ~spl95 | spl0 | spl171), inference(avatar_split_clause, [status(thm)], [p1586, sdef0, sdef171])).
% 28.97/4.12 cnf(p1066, plain, (convergent_lines(sk2,X0) | convergent_lines(X0,sk1) | ~spl96), inference(avatar_component_clause, [status(thm)], [sdef96])).
% 28.97/4.12 cnf(p1274, plain, (convergent_lines(X0,sk1) | distinct_lines(sk2,X0) | ~spl96), inference(resolution, [status(thm)], [p1066, c13])).
% 28.97/4.12 cnf(p1543, plain, (distinct_lines(sk2,X0) | distinct_lines(X0,sk1) | ~spl96), inference(resolution, [status(thm)], [p1274, c13])).
% 28.97/4.12 cnf(p1592, plain, (distinct_lines(X0,sk1) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | ~spl1 | ~spl96), inference(resolution, [status(thm)], [p1543, p128])).
% 28.97/4.12 fof(sdef172, definition, (spl172 <=> (distinct_lines(X0,sk1) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0))), introduced(definition, [new_symbols(naming, [spl172])], [avatar_definition])).
% 28.97/4.12 cnf(ssp243, plain, (~spl1 | ~spl96 | spl18 | spl172), inference(avatar_split_clause, [status(thm)], [p1592, sdef18, sdef172])).
% 28.97/4.12 cnf(p887, plain, (~apart_point_and_line(X0,sk2) | distinct_points(X0,intersection_point(sk0,sk2)) | ~spl64), inference(resolution, [status(thm)], [p862, c9])).
% 28.97/4.12 cnf(p1605, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk2)) | distinct_lines(sk1,sk2) | ~spl1 | ~spl64), inference(resolution, [status(thm)], [p887, p130])).
% 28.97/4.12 cnf(ssp244, plain, (~spl1 | ~spl64 | spl5 | spl67), inference(avatar_split_clause, [status(thm)], [p1605, sdef5, sdef67])).
% 28.97/4.12 cnf(p162, plain, distinct_lines(sk3,X0) | convergent_lines(X0,X1) | ~apart_point_and_line(X2,sk2) | distinct_points(X2,intersection_point(sk2,X1)), inference(resolution, [status(thm)], [p36, c8])).
% 28.97/4.12 cnf(p1608, plain, (distinct_lines(sk3,X0) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X1)) | distinct_lines(sk1,sk2) | ~spl1), inference(resolution, [status(thm)], [p162, p130])).
% 28.97/4.12 fof(sdef173, definition, (spl173 <=> (distinct_lines(sk3,X0) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X1)))), introduced(definition, [new_symbols(naming, [spl173])], [avatar_definition])).
% 28.97/4.12 cnf(ssp245, plain, (~spl1 | spl5 | spl173), inference(avatar_split_clause, [status(thm)], [p1608, sdef5, sdef173])).
% 28.97/4.12 cnf(p163, plain, distinct_lines(sk3,X0) | convergent_lines(sk2,X1) | ~apart_point_and_line(X2,X0) | distinct_points(X2,intersection_point(X0,X1)), inference(resolution, [status(thm)], [p36, c8])).
% 28.97/4.12 cnf(p1616, plain, (distinct_lines(sk3,sk1) | convergent_lines(sk2,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,X0)) | ~spl1), inference(resolution, [status(thm)], [p163, p20])).
% 28.97/4.12 fof(sdef174, definition, (spl174 <=> (convergent_lines(sk2,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,X0)))), introduced(definition, [new_symbols(naming, [spl174])], [avatar_definition])).
% 28.97/4.12 cnf(ssp246, plain, (~spl1 | spl85 | spl174), inference(avatar_split_clause, [status(thm)], [p1616, sdef85, sdef174])).
% 28.97/4.12 cnf(p1619, plain, (distinct_lines(sk3,sk1) | convergent_lines(sk2,X0) | distinct_points(X1,intersection_point(sk1,X0)) | distinct_points(intersection_point(sk2,sk3),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p163, p125])).
% 28.97/4.12 fof(sdef175, definition, (spl175 <=> (convergent_lines(sk2,X0) | distinct_points(X1,intersection_point(sk1,X0)) | distinct_points(intersection_point(sk2,sk3),X2) | distinct_points(X1,X2))), introduced(definition, [new_symbols(naming, [spl175])], [avatar_definition])).
% 28.97/4.12 cnf(ssp247, plain, (~spl1 | spl85 | spl175), inference(avatar_split_clause, [status(thm)], [p1619, sdef85, sdef175])).
% 28.97/4.12 cnf(p957, plain, (~apart_point_and_line(X0,sk3) | distinct_points(X0,intersection_point(sk0,sk3)) | ~spl75), inference(resolution, [status(thm)], [p934, c9])).
% 28.97/4.12 cnf(p1625, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk3)) | distinct_lines(sk1,sk3) | ~spl1 | ~spl75), inference(resolution, [status(thm)], [p957, p130])).
% 28.97/4.12 cnf(ssp248, plain, (~spl1 | ~spl75 | spl6 | spl78), inference(avatar_split_clause, [status(thm)], [p1625, sdef6, sdef78])).
% 28.97/4.12 cnf(p164, plain, distinct_lines(sk3,X0) | convergent_lines(X0,X1) | ~apart_point_and_line(X2,X1) | distinct_points(X2,intersection_point(sk2,X1)), inference(resolution, [status(thm)], [p36, c9])).
% 28.97/4.12 cnf(p1628, plain, (distinct_lines(sk3,X0) | convergent_lines(X0,sk1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk1)) | ~spl1), inference(resolution, [status(thm)], [p164, p20])).
% 28.97/4.12 fof(sdef176, definition, (spl176 <=> (distinct_lines(sk3,X0) | convergent_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl176])], [avatar_definition])).
% 28.97/4.12 cnf(ssp249, plain, (~spl1 | spl72 | spl176), inference(avatar_split_clause, [status(thm)], [p1628, sdef72, sdef176])).
% 28.97/4.12 cnf(p1631, plain, (distinct_lines(sk3,X0) | convergent_lines(X0,sk1) | distinct_points(X1,intersection_point(sk2,sk1)) | distinct_points(intersection_point(sk2,sk3),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p164, p125])).
% 28.97/4.12 fof(sdef177, definition, (spl177 <=> (distinct_points(X0,intersection_point(sk2,sk1)) | distinct_points(intersection_point(sk2,sk3),X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl177])], [avatar_definition])).
% 28.97/4.12 cnf(ssp250, plain, (~spl1 | spl176 | spl177), inference(avatar_split_clause, [status(thm)], [p1631, sdef176, sdef177])).
% 28.97/4.12 cnf(p1629, plain, (distinct_lines(sk3,X0) | convergent_lines(X0,sk1) | ~spl176), inference(avatar_component_clause, [status(thm)], [sdef176])).
% 28.97/4.12 cnf(p1638, plain, (distinct_lines(sk3,X0) | distinct_lines(X0,sk1) | ~spl176), inference(resolution, [status(thm)], [p1629, c13])).
% 28.97/4.12 cnf(p1645, plain, (distinct_lines(X0,sk1) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | ~spl1 | ~spl176), inference(resolution, [status(thm)], [p1638, p128])).
% 28.97/4.12 fof(sdef178, definition, (spl178 <=> (distinct_lines(X0,sk1) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0))), introduced(definition, [new_symbols(naming, [spl178])], [avatar_definition])).
% 28.97/4.12 cnf(ssp251, plain, (~spl1 | ~spl176 | spl19 | spl178), inference(avatar_split_clause, [status(thm)], [p1645, sdef19, sdef178])).
% 28.97/4.12 cnf(p165, plain, distinct_lines(sk3,X0) | convergent_lines(sk2,X1) | ~apart_point_and_line(X2,X1) | distinct_points(X2,intersection_point(X0,X1)), inference(resolution, [status(thm)], [p36, c9])).
% 28.97/4.12 cnf(p1647, plain, (distinct_lines(sk3,X0) | convergent_lines(sk2,sk1) | distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk1)) | ~spl1), inference(resolution, [status(thm)], [p165, p20])).
% 28.97/4.12 fof(sdef179, definition, (spl179 <=> (distinct_lines(sk3,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk1)))), introduced(definition, [new_symbols(naming, [spl179])], [avatar_definition])).
% 28.97/4.12 cnf(ssp252, plain, (~spl1 | spl73 | spl179), inference(avatar_split_clause, [status(thm)], [p1647, sdef73, sdef179])).
% 28.97/4.12 cnf(p1650, plain, (distinct_lines(sk3,X0) | convergent_lines(sk2,sk1) | distinct_points(X1,intersection_point(X0,sk1)) | distinct_points(intersection_point(sk2,sk3),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p165, p125])).
% 28.97/4.12 fof(sdef180, definition, (spl180 <=> (distinct_lines(sk3,X0) | distinct_points(X1,intersection_point(X0,sk1)) | distinct_points(intersection_point(sk2,sk3),X2) | distinct_points(X1,X2))), introduced(definition, [new_symbols(naming, [spl180])], [avatar_definition])).
% 28.97/4.12 cnf(ssp253, plain, (~spl1 | spl73 | spl180), inference(avatar_split_clause, [status(thm)], [p1650, sdef73, sdef180])).
% 28.97/4.12 cnf(p167, plain, distinct_lines(sk3,X0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(X0,sk2)), inference(resolution, [status(thm)], [p157, c8])).
% 28.97/4.12 cnf(p1654, plain, (distinct_lines(sk3,sk1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,sk2)) | ~spl1), inference(resolution, [status(thm)], [p167, p20])).
% 28.97/4.12 cnf(ssp254, plain, (~spl1 | spl66 | spl85), inference(avatar_split_clause, [status(thm)], [p1654, sdef66, sdef85])).
% 28.97/4.12 cnf(p1656, plain, (distinct_lines(sk3,sk1) | distinct_points(X0,intersection_point(sk1,sk2)) | distinct_points(intersection_point(sk2,sk3),X1) | distinct_points(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p167, p125])).
% 28.97/4.12 fof(sdef181, definition, (spl181 <=> (distinct_points(X0,intersection_point(sk1,sk2)) | distinct_points(intersection_point(sk2,sk3),X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl181])], [avatar_definition])).
% 28.97/4.12 cnf(ssp255, plain, (~spl1 | spl85 | spl181), inference(avatar_split_clause, [status(thm)], [p1656, sdef85, sdef181])).
% 28.97/4.12 cnf(p168, plain, distinct_lines(sk3,X0) | ~apart_point_and_line(X1,sk2) | distinct_points(X1,intersection_point(X0,sk2)), inference(resolution, [status(thm)], [p157, c9])).
% 28.97/4.12 cnf(p1670, plain, (distinct_lines(sk3,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk2)) | distinct_lines(sk1,sk2) | ~spl1), inference(resolution, [status(thm)], [p168, p130])).
% 28.97/4.12 fof(sdef182, definition, (spl182 <=> (distinct_lines(sk3,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk2)))), introduced(definition, [new_symbols(naming, [spl182])], [avatar_definition])).
% 28.97/4.12 cnf(ssp256, plain, (~spl1 | spl5 | spl182), inference(avatar_split_clause, [status(thm)], [p1670, sdef5, sdef182])).
% 28.97/4.12 cnf(p1044, plain, (~apart_point_and_line(X0,sk2) | distinct_points(X0,intersection_point(sk0,sk2)) | ~spl69), inference(resolution, [status(thm)], [p1032, c9])).
% 28.97/4.12 cnf(p1672, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk2)) | distinct_lines(sk1,sk2) | ~spl1 | ~spl69), inference(resolution, [status(thm)], [p1044, p130])).
% 28.97/4.12 cnf(ssp257, plain, (~spl1 | ~spl69 | spl5 | spl67), inference(avatar_split_clause, [status(thm)], [p1672, sdef5, sdef67])).
% 28.97/4.12 cnf(p175, plain, (distinct_lines(sk1,X0) | distinct_points(intersection_point(sk2,sk3),X1) | apart_point_and_line(X1,X0) | ~spl1), inference(resolution, [status(thm)], [p130, c11])).
% 28.97/4.12 cnf(p1677, plain, (distinct_lines(sk1,sk2) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk2,sk3)) | ~spl1), inference(resolution, [status(thm)], [p175, p48])).
% 28.97/4.12 fof(sdef183, definition, (spl183 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk2,sk3)))), introduced(definition, [new_symbols(naming, [spl183])], [avatar_definition])).
% 28.97/4.12 cnf(ssp258, plain, (~spl1 | spl5 | spl183), inference(avatar_split_clause, [status(thm)], [p1677, sdef5, sdef183])).
% 28.97/4.12 cnf(p67, plain, ~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk0,sk1)), inference(resolution, [status(thm)], [c9, c14])).
% 28.97/4.12 cnf(p1679, plain, (distinct_lines(sk1,sk1) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk0,sk1)) | ~spl1), inference(resolution, [status(thm)], [p175, p67])).
% 28.97/4.12 fof(sdef185, definition, (spl185 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl185])], [avatar_definition])).
% 28.97/4.12 cnf(ssp259, plain, (~spl1 | spl184 | spl185), inference(avatar_split_clause, [status(thm)], [p1679, sdef184, sdef185])).
% 28.97/4.12 cnf(p1683, plain, (distinct_lines(sk1,sk3) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk2,sk3)) | ~spl1), inference(resolution, [status(thm)], [p175, p68])).
% 28.97/4.12 cnf(ssp260, plain, (~spl1 | spl6 | spl183), inference(avatar_split_clause, [status(thm)], [p1683, sdef6, sdef183])).
% 28.97/4.12 cnf(p241, plain, convergent_lines(sk1,sk0), inference(resolution, [status(thm)], [p230, c2])).
% 28.97/4.12 cnf(p246, plain, ~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk1,sk0)), inference(resolution, [status(thm)], [p241, c8])).
% 28.97/4.12 cnf(p1686, plain, (distinct_lines(sk1,sk1) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk1,sk0)) | ~spl1), inference(resolution, [status(thm)], [p175, p246])).
% 28.97/4.12 fof(sdef186, definition, (spl186 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl186])], [avatar_definition])).
% 28.97/4.12 cnf(ssp261, plain, (~spl1 | spl184 | spl186), inference(avatar_split_clause, [status(thm)], [p1686, sdef184, sdef186])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p1688, plain, (distinct_lines(sk1,sk1) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk1,X1)) | convergent_lines(sk0,X1) | ~spl1), inference(resolution, [status(thm)], [p175, p49])).
% 28.97/4.12 fof(sdef187, definition, (spl187 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk1,X1)) | convergent_lines(sk0,X1))), introduced(definition, [new_symbols(naming, [spl187])], [avatar_definition])).
% 28.97/4.12 cnf(ssp262, plain, (~spl1 | spl184 | spl187), inference(avatar_split_clause, [status(thm)], [p1688, sdef184, sdef187])).
% 28.97/4.12 cnf(p1690, plain, (distinct_lines(sk1,sk3) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk3,X1)) | convergent_lines(sk2,X1) | ~spl1), inference(resolution, [status(thm)], [p175, p50])).
% 28.97/4.12 fof(sdef188, definition, (spl188 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk3,X1)) | convergent_lines(sk2,X1))), introduced(definition, [new_symbols(naming, [spl188])], [avatar_definition])).
% 28.97/4.12 cnf(ssp263, plain, (~spl1 | spl6 | spl188), inference(avatar_split_clause, [status(thm)], [p1690, sdef6, sdef188])).
% 28.97/4.12 cnf(p1692, plain, (distinct_lines(sk1,sk3) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk3,sk2)) | ~spl1), inference(resolution, [status(thm)], [p175, p323])).
% 28.97/4.12 fof(sdef189, definition, (spl189 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk3,sk2)))), introduced(definition, [new_symbols(naming, [spl189])], [avatar_definition])).
% 28.97/4.12 cnf(ssp264, plain, (~spl1 | spl6 | spl189), inference(avatar_split_clause, [status(thm)], [p1692, sdef6, sdef189])).
% 28.97/4.12 cnf(p1694, plain, (distinct_lines(sk1,sk2) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk3,sk2)) | ~spl1), inference(resolution, [status(thm)], [p175, p324])).
% 28.97/4.12 cnf(ssp265, plain, (~spl1 | spl5 | spl189), inference(avatar_split_clause, [status(thm)], [p1694, sdef5, sdef189])).
% 28.97/4.12 cnf(p1695, plain, (distinct_lines(sk1,sk2) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk2,X1)) | distinct_lines(sk3,X1) | ~spl1), inference(resolution, [status(thm)], [p175, p52])).
% 28.97/4.12 fof(sdef190, definition, (spl190 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk2,X1)) | distinct_lines(sk3,X1))), introduced(definition, [new_symbols(naming, [spl190])], [avatar_definition])).
% 28.97/4.12 cnf(ssp266, plain, (~spl1 | spl5 | spl190), inference(avatar_split_clause, [status(thm)], [p1695, sdef5, sdef190])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p1697, plain, (distinct_lines(sk1,sk1) | distinct_points(intersection_point(sk2,sk3),X0) | convergent_lines(sk0,X1) | convergent_lines(X1,X2) | distinct_points(X0,intersection_point(sk1,X2)) | ~spl1), inference(resolution, [status(thm)], [p175, p65])).
% 28.97/4.12 fof(sdef191, definition, (spl191 <=> (distinct_points(intersection_point(sk2,sk3),X0) | convergent_lines(sk0,X1) | convergent_lines(X1,X2) | distinct_points(X0,intersection_point(sk1,X2)))), introduced(definition, [new_symbols(naming, [spl191])], [avatar_definition])).
% 28.97/4.12 cnf(ssp267, plain, (~spl1 | spl184 | spl191), inference(avatar_split_clause, [status(thm)], [p1697, sdef184, sdef191])).
% 28.97/4.12 cnf(p1703, plain, (distinct_lines(sk1,sk2) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk2,sk0)) | ~spl1 | ~spl15), inference(resolution, [status(thm)], [p175, p532])).
% 28.97/4.12 fof(sdef192, definition, (spl192 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk2,sk0)))), introduced(definition, [new_symbols(naming, [spl192])], [avatar_definition])).
% 28.97/4.12 cnf(ssp268, plain, (~spl1 | ~spl15 | spl5 | spl192), inference(avatar_split_clause, [status(thm)], [p1703, sdef5, sdef192])).
% 28.97/4.12 cnf(p1705, plain, (distinct_lines(sk1,sk2) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk0,sk2)) | ~spl1 | ~spl15), inference(resolution, [status(thm)], [p175, p546])).
% 28.97/4.12 fof(sdef193, definition, (spl193 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl193])], [avatar_definition])).
% 28.97/4.12 cnf(ssp269, plain, (~spl1 | ~spl15 | spl5 | spl193), inference(avatar_split_clause, [status(thm)], [p1705, sdef5, sdef193])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p1709, plain, (distinct_lines(sk1,sk1) | distinct_points(intersection_point(sk2,sk3),X0) | convergent_lines(sk0,X1) | distinct_points(X0,intersection_point(X1,sk1)) | ~spl1), inference(resolution, [status(thm)], [p175, p82])).
% 28.97/4.12 fof(sdef194, definition, (spl194 <=> (distinct_points(intersection_point(sk2,sk3),X0) | convergent_lines(sk0,X1) | distinct_points(X0,intersection_point(X1,sk1)))), introduced(definition, [new_symbols(naming, [spl194])], [avatar_definition])).
% 28.97/4.12 cnf(ssp270, plain, (~spl1 | spl184 | spl194), inference(avatar_split_clause, [status(thm)], [p1709, sdef184, sdef194])).
% 28.97/4.12 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])).
% 28.97/4.12 cnf(p1711, plain, (distinct_lines(sk1,sk1) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_lines(sk0,X1) | distinct_points(X0,intersection_point(X1,sk1)) | ~spl1), inference(resolution, [status(thm)], [p175, p84])).
% 28.97/4.12 fof(sdef195, definition, (spl195 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_lines(sk0,X1) | distinct_points(X0,intersection_point(X1,sk1)))), introduced(definition, [new_symbols(naming, [spl195])], [avatar_definition])).
% 28.97/4.12 cnf(ssp271, plain, (~spl1 | spl184 | spl195), inference(avatar_split_clause, [status(thm)], [p1711, sdef184, sdef195])).
% 28.97/4.12 cnf(p1714, plain, (distinct_lines(sk1,sk2) | distinct_points(intersection_point(sk2,sk3),X0) | convergent_lines(sk3,X1) | convergent_lines(X2,X1) | distinct_points(X0,intersection_point(sk2,X2)) | ~spl1), inference(resolution, [status(thm)], [p175, p101])).
% 28.97/4.12 fof(sdef196, definition, (spl196 <=> (distinct_points(intersection_point(sk2,sk3),X0) | convergent_lines(sk3,X1) | convergent_lines(X2,X1) | distinct_points(X0,intersection_point(sk2,X2)))), introduced(definition, [new_symbols(naming, [spl196])], [avatar_definition])).
% 28.97/4.12 cnf(ssp272, plain, (~spl1 | spl5 | spl196), inference(avatar_split_clause, [status(thm)], [p1714, sdef5, sdef196])).
% 28.97/4.12 cnf(p1716, plain, (distinct_lines(sk1,sk3) | distinct_points(intersection_point(sk2,sk3),X0) | convergent_lines(sk2,X1) | convergent_lines(X1,X2) | distinct_points(X0,intersection_point(sk3,X2)) | ~spl1), inference(resolution, [status(thm)], [p175, p102])).
% 28.97/4.12 fof(sdef197, definition, (spl197 <=> (distinct_points(intersection_point(sk2,sk3),X0) | convergent_lines(sk2,X1) | convergent_lines(X1,X2) | distinct_points(X0,intersection_point(sk3,X2)))), introduced(definition, [new_symbols(naming, [spl197])], [avatar_definition])).
% 28.97/4.12 cnf(ssp273, plain, (~spl1 | spl6 | spl197), inference(avatar_split_clause, [status(thm)], [p1716, sdef6, sdef197])).
% 28.97/4.12 cnf(p1722, plain, (distinct_lines(sk1,sk2) | distinct_points(intersection_point(sk2,sk3),X0) | convergent_lines(X1,sk3) | distinct_points(X0,intersection_point(sk2,X1)) | ~spl1), inference(resolution, [status(thm)], [p175, p110])).
% 28.97/4.12 fof(sdef198, definition, (spl198 <=> (distinct_points(intersection_point(sk2,sk3),X0) | convergent_lines(X1,sk3) | distinct_points(X0,intersection_point(sk2,X1)))), introduced(definition, [new_symbols(naming, [spl198])], [avatar_definition])).
% 28.97/4.12 cnf(ssp274, plain, (~spl1 | spl5 | spl198), inference(avatar_split_clause, [status(thm)], [p1722, sdef5, sdef198])).
% 28.97/4.12 cnf(p1726, plain, (distinct_lines(sk1,sk3) | distinct_points(intersection_point(sk2,sk3),X0) | convergent_lines(sk2,X1) | distinct_points(X0,intersection_point(X1,sk3)) | ~spl1), inference(resolution, [status(thm)], [p175, p113])).
% 28.97/4.12 fof(sdef199, definition, (spl199 <=> (distinct_points(intersection_point(sk2,sk3),X0) | convergent_lines(sk2,X1) | distinct_points(X0,intersection_point(X1,sk3)))), introduced(definition, [new_symbols(naming, [spl199])], [avatar_definition])).
% 28.97/4.12 cnf(ssp275, plain, (~spl1 | spl6 | spl199), inference(avatar_split_clause, [status(thm)], [p1726, sdef6, sdef199])).
% 28.97/4.12 cnf(p1729, plain, (distinct_lines(sk1,sk3) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_lines(sk2,X1) | distinct_points(X0,intersection_point(X1,sk3)) | ~spl1), inference(resolution, [status(thm)], [p175, p117])).
% 28.97/4.12 fof(sdef200, definition, (spl200 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_lines(sk2,X1) | distinct_points(X0,intersection_point(X1,sk3)))), introduced(definition, [new_symbols(naming, [spl200])], [avatar_definition])).
% 28.97/4.12 cnf(ssp276, plain, (~spl1 | spl6 | spl200), inference(avatar_split_clause, [status(thm)], [p1729, sdef6, sdef200])).
% 28.97/4.12 cnf(p1731, plain, (distinct_lines(sk1,sk2) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_lines(X1,sk3) | distinct_points(X0,intersection_point(sk2,X1)) | ~spl1), inference(resolution, [status(thm)], [p175, p119])).
% 28.97/4.12 fof(sdef201, definition, (spl201 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_lines(X1,sk3) | distinct_points(X0,intersection_point(sk2,X1)))), introduced(definition, [new_symbols(naming, [spl201])], [avatar_definition])).
% 28.97/4.12 cnf(ssp277, plain, (~spl1 | spl5 | spl201), inference(avatar_split_clause, [status(thm)], [p1731, sdef5, sdef201])).
% 28.97/4.12 cnf(p1734, plain, (distinct_lines(sk1,line_connecting(intersection_point(sk2,sk3),X0)) | distinct_points(intersection_point(sk2,sk3),X1) | apart_point_and_line(X0,sk1) | distinct_points(X1,intersection_point(sk2,sk3)) | ~spl1), inference(resolution, [status(thm)], [p175, p126])).
% 28.97/4.12 cnf(ssp278, plain, (~spl1 | spl114 | spl183), inference(avatar_split_clause, [status(thm)], [p1734, sdef114, sdef183])).
% 28.97/4.12 cnf(p1739, plain, (distinct_lines(sk1,sk2) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk0,sk2)) | ~spl1 | ~spl64), inference(resolution, [status(thm)], [p175, p887])).
% 28.97/4.12 cnf(ssp279, plain, (~spl1 | ~spl64 | spl5 | spl193), inference(avatar_split_clause, [status(thm)], [p1739, sdef5, sdef193])).
% 28.97/4.12 cnf(p890, plain, (~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk1,sk2)) | ~spl71), inference(resolution, [status(thm)], [p876, c8])).
% 28.97/4.12 cnf(p1740, plain, (distinct_lines(sk1,sk1) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk1,sk2)) | ~spl1 | ~spl71), inference(resolution, [status(thm)], [p175, p890])).
% 28.97/4.12 fof(sdef202, definition, (spl202 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk1,sk2)))), introduced(definition, [new_symbols(naming, [spl202])], [avatar_definition])).
% 28.97/4.12 cnf(ssp280, plain, (~spl1 | ~spl71 | spl184 | spl202), inference(avatar_split_clause, [status(thm)], [p1740, sdef184, sdef202])).
% 28.97/4.12 cnf(p1742, plain, (distinct_lines(sk1,sk2) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_lines(sk3,X1) | convergent_lines(X1,X2) | distinct_points(X0,intersection_point(sk2,X2)) | ~spl1), inference(resolution, [status(thm)], [p175, p162])).
% 28.97/4.12 fof(sdef203, definition, (spl203 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_lines(sk3,X1) | convergent_lines(X1,X2) | distinct_points(X0,intersection_point(sk2,X2)))), introduced(definition, [new_symbols(naming, [spl203])], [avatar_definition])).
% 28.97/4.12 cnf(ssp281, plain, (~spl1 | spl5 | spl203), inference(avatar_split_clause, [status(thm)], [p1742, sdef5, sdef203])).
% 28.97/4.12 cnf(p895, plain, (~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk2,sk1)) | ~spl73), inference(resolution, [status(thm)], [p880, c9])).
% 28.97/4.12 cnf(p1744, plain, (distinct_lines(sk1,sk1) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk2,sk1)) | ~spl1 | ~spl73), inference(resolution, [status(thm)], [p175, p895])).
% 28.97/4.12 fof(sdef204, definition, (spl204 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk2,sk1)))), introduced(definition, [new_symbols(naming, [spl204])], [avatar_definition])).
% 28.97/4.12 cnf(ssp282, plain, (~spl1 | ~spl73 | spl184 | spl204), inference(avatar_split_clause, [status(thm)], [p1744, sdef184, sdef204])).
% 28.97/4.12 cnf(p1747, plain, (distinct_lines(sk1,sk3) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk0,sk3)) | ~spl1 | ~spl75), inference(resolution, [status(thm)], [p175, p957])).
% 28.97/4.12 fof(sdef205, definition, (spl205 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk0,sk3)))), introduced(definition, [new_symbols(naming, [spl205])], [avatar_definition])).
% 28.97/4.12 cnf(ssp283, plain, (~spl1 | ~spl75 | spl6 | spl205), inference(avatar_split_clause, [status(thm)], [p1747, sdef6, sdef205])).
% 28.97/4.12 cnf(p960, plain, (~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk1,sk3)) | ~spl82), inference(resolution, [status(thm)], [p946, c8])).
% 28.97/4.12 cnf(p1749, plain, (distinct_lines(sk1,sk1) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk1,sk3)) | ~spl1 | ~spl82), inference(resolution, [status(thm)], [p175, p960])).
% 28.97/4.12 fof(sdef206, definition, (spl206 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk1,sk3)))), introduced(definition, [new_symbols(naming, [spl206])], [avatar_definition])).
% 28.97/4.12 cnf(ssp284, plain, (~spl1 | ~spl82 | spl184 | spl206), inference(avatar_split_clause, [status(thm)], [p1749, sdef184, sdef206])).
% 28.97/4.12 cnf(p965, plain, (~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk3,sk1)) | ~spl84), inference(resolution, [status(thm)], [p950, c9])).
% 28.97/4.12 cnf(p1754, plain, (distinct_lines(sk1,sk1) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk3,sk1)) | ~spl1 | ~spl84), inference(resolution, [status(thm)], [p175, p965])).
% 28.97/4.12 fof(sdef207, definition, (spl207 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk3,sk1)))), introduced(definition, [new_symbols(naming, [spl207])], [avatar_definition])).
% 28.97/4.12 cnf(ssp285, plain, (~spl1 | ~spl84 | spl184 | spl207), inference(avatar_split_clause, [status(thm)], [p1754, sdef184, sdef207])).
% 28.97/4.12 cnf(p1028, plain, (~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk1,sk2)) | ~spl68), inference(resolution, [status(thm)], [p1017, c8])).
% 28.97/4.12 cnf(p1756, plain, (distinct_lines(sk1,sk1) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk1,sk2)) | ~spl1 | ~spl68), inference(resolution, [status(thm)], [p175, p1028])).
% 28.97/4.12 cnf(ssp286, plain, (~spl1 | ~spl68 | spl184 | spl202), inference(avatar_split_clause, [status(thm)], [p1756, sdef184, sdef202])).
% 28.97/4.12 cnf(p1757, plain, (distinct_lines(sk1,sk2) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_lines(sk3,X1) | distinct_points(X0,intersection_point(X1,sk2)) | ~spl1), inference(resolution, [status(thm)], [p175, p168])).
% 28.97/4.12 fof(sdef208, definition, (spl208 <=> (distinct_points(intersection_point(sk2,sk3),X0) | distinct_lines(sk3,X1) | distinct_points(X0,intersection_point(X1,sk2)))), introduced(definition, [new_symbols(naming, [spl208])], [avatar_definition])).
% 28.97/4.12 cnf(ssp287, plain, (~spl1 | spl5 | spl208), inference(avatar_split_clause, [status(thm)], [p1757, sdef5, sdef208])).
% 28.97/4.12 cnf(p1759, plain, (distinct_lines(sk1,sk2) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk0,sk2)) | ~spl1 | ~spl69), inference(resolution, [status(thm)], [p175, p1044])).
% 28.97/4.12 cnf(ssp288, plain, (~spl1 | ~spl69 | spl5 | spl193), inference(avatar_split_clause, [status(thm)], [p1759, sdef5, sdef193])).
% 28.97/4.12 cnf(p893, plain, (convergent_lines(sk2,X0) | convergent_lines(sk1,X0) | ~spl73), inference(resolution, [status(thm)], [p880, c5])).
% 28.97/4.12 cnf(p1067, plain, (convergent_lines(sk1,sk2) | ~spl73), inference(resolution, [status(thm)], [p893, c2])).
% 28.97/4.12 cnf(p1073, plain, (~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk1,sk2)) | ~spl73), inference(resolution, [status(thm)], [p1067, c8])).
% 28.97/4.12 cnf(p1760, plain, (distinct_lines(sk1,sk1) | distinct_points(intersection_point(sk2,sk3),X0) | distinct_points(X0,intersection_point(sk1,sk2)) | ~spl1 | ~spl73), inference(resolution, [status(thm)], [p175, p1073])).
% 28.97/4.12 cnf(ssp289, plain, (~spl1 | ~spl73 | spl184 | spl202), inference(avatar_split_clause, [status(thm)], [p1760, sdef184, sdef202])).
% 28.97/4.12 cnf(p941, plain, (convergent_lines(sk1,X0) | convergent_lines(sk3,X0) | ~spl79), inference(avatar_component_clause, [status(thm)], [sdef79])).
% 28.97/4.12 cnf(p1123, plain, (convergent_lines(sk1,sk3) | ~spl79), inference(resolution, [status(thm)], [p941, c2])).
% 28.97/4.12 cnf(p1131, plain, (~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk1,sk3)) | ~spl79), inference(resolution, [status(thm)], [p1123, c8])).
% 28.97/4.12 cnf(p1768, plain, (distinct_points(X0,intersection_point(sk1,sk3)) | distinct_lines(sk1,sk1) | distinct_points(intersection_point(sk2,sk3),X0) | ~spl1 | ~spl79), inference(resolution, [status(thm)], [p1131, p175])).
% 28.97/4.12 cnf(ssp290, plain, (~spl1 | ~spl79 | spl184 | spl206), inference(avatar_split_clause, [status(thm)], [p1768, sdef184, sdef206])).
% 28.97/4.12 cnf(p176, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | ~spl1), inference(resolution, [status(thm)], [p130, c12])).
% 28.97/4.12 cnf(p1771, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk2) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk3)) | ~spl1), inference(resolution, [status(thm)], [p176, p48])).
% 28.97/4.12 fof(sdef209, definition, (spl209 <=> (distinct_lines(sk1,X0) | distinct_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl209])], [avatar_definition])).
% 28.97/4.12 cnf(ssp291, plain, (~spl1 | spl3 | spl209), inference(avatar_split_clause, [status(thm)], [p1771, sdef3, sdef209])).
% 28.97/4.12 cnf(p1773, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk3)) | ~spl1), inference(resolution, [status(thm)], [p176, p68])).
% 28.97/4.12 fof(sdef210, definition, (spl210 <=> (distinct_lines(sk1,X0) | distinct_lines(X0,sk3))), introduced(definition, [new_symbols(naming, [spl210])], [avatar_definition])).
% 28.97/4.12 cnf(ssp292, plain, (~spl1 | spl3 | spl210), inference(avatar_split_clause, [status(thm)], [p1773, sdef3, sdef210])).
% 28.97/4.12 cnf(p1776, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,X1)) | convergent_lines(sk2,X1) | ~spl1), inference(resolution, [status(thm)], [p176, p50])).
% 28.97/4.12 cnf(ssp293, plain, (~spl1 | spl7 | spl210), inference(avatar_split_clause, [status(thm)], [p1776, sdef7, sdef210])).
% 28.97/4.12 cnf(p1777, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,sk2)) | ~spl1), inference(resolution, [status(thm)], [p176, p323])).
% 28.97/4.12 cnf(ssp294, plain, (~spl1 | spl8 | spl210), inference(avatar_split_clause, [status(thm)], [p1777, sdef8, sdef210])).
% 28.97/4.12 cnf(p1778, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk2) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,sk2)) | ~spl1), inference(resolution, [status(thm)], [p176, p324])).
% 28.97/4.12 cnf(ssp295, plain, (~spl1 | spl8 | spl209), inference(avatar_split_clause, [status(thm)], [p1778, sdef8, sdef209])).
% 28.97/4.12 cnf(p1779, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk2) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X1)) | distinct_lines(sk3,X1) | ~spl1), inference(resolution, [status(thm)], [p176, p52])).
% 28.97/4.12 cnf(ssp296, plain, (~spl1 | spl9 | spl209), inference(avatar_split_clause, [status(thm)], [p1779, sdef9, sdef209])).
% 28.97/4.12 cnf(p1787, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk2) | convergent_lines(sk3,X1) | convergent_lines(X2,X1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X2)) | ~spl1), inference(resolution, [status(thm)], [p176, p101])).
% 28.97/4.12 cnf(ssp297, plain, (~spl1 | spl86 | spl209), inference(avatar_split_clause, [status(thm)], [p1787, sdef86, sdef209])).
% 28.97/4.12 cnf(p1788, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk3) | convergent_lines(sk2,X1) | convergent_lines(X1,X2) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,X2)) | ~spl1), inference(resolution, [status(thm)], [p176, p102])).
% 28.97/4.12 cnf(ssp298, plain, (~spl1 | spl91 | spl210), inference(avatar_split_clause, [status(thm)], [p1788, sdef91, sdef210])).
% 28.97/4.12 cnf(p1793, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk2) | convergent_lines(X1,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X1)) | ~spl1), inference(resolution, [status(thm)], [p176, p110])).
% 28.97/4.12 cnf(ssp299, plain, (~spl1 | spl102 | spl209), inference(avatar_split_clause, [status(thm)], [p1793, sdef102, sdef209])).
% 28.97/4.12 cnf(p1796, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk3) | convergent_lines(sk2,X1) | distinct_points(intersection_point(sk2,sk3),intersection_point(X1,sk3)) | ~spl1), inference(resolution, [status(thm)], [p176, p113])).
% 28.97/4.12 cnf(ssp300, plain, (~spl1 | spl99 | spl210), inference(avatar_split_clause, [status(thm)], [p1796, sdef99, sdef210])).
% 28.97/4.12 cnf(p1798, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk3) | distinct_lines(sk2,X1) | distinct_points(intersection_point(sk2,sk3),intersection_point(X1,sk3)) | ~spl1), inference(resolution, [status(thm)], [p176, p117])).
% 28.97/4.12 cnf(ssp301, plain, (~spl1 | spl106 | spl210), inference(avatar_split_clause, [status(thm)], [p1798, sdef106, sdef210])).
% 28.97/4.12 cnf(p1799, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk2) | distinct_lines(X1,sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X1)) | ~spl1), inference(resolution, [status(thm)], [p176, p119])).
% 28.97/4.12 cnf(ssp302, plain, (~spl1 | spl107 | spl209), inference(avatar_split_clause, [status(thm)], [p1799, sdef107, sdef209])).
% 28.97/4.12 cnf(p1801, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,line_connecting(intersection_point(sk2,sk3),X1)) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk3)) | ~spl1), inference(resolution, [status(thm)], [p176, p126])).
% 28.97/4.12 fof(sdef211, definition, (spl211 <=> (distinct_lines(sk1,X0) | distinct_lines(X0,line_connecting(intersection_point(sk2,sk3),X1)) | apart_point_and_line(X1,sk1))), introduced(definition, [new_symbols(naming, [spl211])], [avatar_definition])).
% 28.97/4.12 cnf(ssp303, plain, (~spl1 | spl3 | spl211), inference(avatar_split_clause, [status(thm)], [p1801, sdef3, sdef211])).
% 28.97/4.12 cnf(p1806, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk2) | distinct_lines(sk3,X1) | convergent_lines(X1,X2) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X2)) | ~spl1), inference(resolution, [status(thm)], [p176, p162])).
% 28.97/4.12 cnf(ssp304, plain, (~spl1 | spl173 | spl209), inference(avatar_split_clause, [status(thm)], [p1806, sdef173, sdef209])).
% 28.97/4.12 cnf(p1811, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk2) | distinct_lines(sk3,X1) | distinct_points(intersection_point(sk2,sk3),intersection_point(X1,sk2)) | ~spl1), inference(resolution, [status(thm)], [p176, p168])).
% 28.97/4.12 cnf(ssp305, plain, (~spl1 | spl182 | spl209), inference(avatar_split_clause, [status(thm)], [p1811, sdef182, sdef209])).
% 28.97/4.12 cnf(p178, 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])).
% 28.97/4.12 cnf(p1829, plain, (distinct_lines(X0,X1) | distinct_lines(X0,X2) | distinct_lines(sk1,X3) | distinct_lines(X1,X3) | apart_point_and_line(X4,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X2) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X2) | ~spl1), inference(resolution, [status(thm)], [p178, p128])).
% 28.97/4.12 fof(sdef212, definition, (spl212 <=> (distinct_lines(X0,X1) | distinct_lines(X0,X2) | distinct_lines(sk1,X3) | distinct_lines(X1,X3) | apart_point_and_line(X4,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X2) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X2))), introduced(definition, [new_symbols(naming, [spl212])], [avatar_definition])).
% 28.97/4.12 cnf(ssp306, plain, (~spl1 | spl0 | spl212), inference(avatar_split_clause, [status(thm)], [p1829, sdef0, sdef212])).
% 28.97/4.12 cnf(p179, 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])).
% 28.97/4.12 cnf(p1836, plain, (distinct_lines(sk1,X0) | distinct_lines(X1,X2) | distinct_lines(X1,X3) | distinct_lines(X0,X3) | apart_point_and_line(X4,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X2) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X2) | ~spl1), inference(resolution, [status(thm)], [p179, p128])).
% 28.97/4.12 fof(sdef213, definition, (spl213 <=> (distinct_lines(sk1,X0) | distinct_lines(X1,X2) | distinct_lines(X1,X3) | distinct_lines(X0,X3) | apart_point_and_line(X4,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X2) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X2))), introduced(definition, [new_symbols(naming, [spl213])], [avatar_definition])).
% 28.97/4.12 cnf(ssp307, plain, (~spl1 | spl0 | spl213), inference(avatar_split_clause, [status(thm)], [p1836, sdef0, sdef213])).
% 28.97/4.12 cnf(p963, plain, (convergent_lines(sk3,X0) | convergent_lines(sk1,X0) | ~spl84), inference(resolution, [status(thm)], [p950, c5])).
% 28.97/4.12 cnf(p1163, plain, (convergent_lines(sk1,sk3) | ~spl84), inference(resolution, [status(thm)], [p963, c2])).
% 28.97/4.12 cnf(p1169, plain, (~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk1,sk3)) | ~spl84), inference(resolution, [status(thm)], [p1163, c8])).
% 28.97/4.12 cnf(p1840, plain, (distinct_points(X0,intersection_point(sk1,sk3)) | distinct_lines(sk1,sk1) | distinct_points(intersection_point(sk2,sk3),X0) | ~spl1 | ~spl84), inference(resolution, [status(thm)], [p1169, p175])).
% 28.97/4.12 cnf(ssp308, plain, (~spl1 | ~spl84 | spl184 | spl206), inference(avatar_split_clause, [status(thm)], [p1840, sdef184, sdef206])).
% 28.97/4.12 cnf(p180, 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])).
% 28.97/4.12 cnf(p1850, plain, (distinct_lines(sk1,X0) | distinct_lines(X1,X0) | distinct_lines(X1,X2) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X3) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X3) | ~spl1), inference(resolution, [status(thm)], [p180, p128])).
% 28.97/4.12 fof(sdef214, definition, (spl214 <=> (distinct_lines(sk1,X0) | distinct_lines(X1,X0) | distinct_lines(X1,X2) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X3) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X3))), introduced(definition, [new_symbols(naming, [spl214])], [avatar_definition])).
% 28.97/4.12 cnf(ssp309, plain, (~spl1 | spl0 | spl214), inference(avatar_split_clause, [status(thm)], [p1850, sdef0, sdef214])).
% 28.97/4.12 cnf(p1273, plain, (convergent_lines(sk2,sk1) | ~spl96), inference(resolution, [status(thm)], [p1066, c2])).
% 28.97/4.12 cnf(p1428, plain, (~apart_point_and_line(X0,sk2) | distinct_points(X0,intersection_point(sk2,sk1)) | ~spl96), inference(resolution, [status(thm)], [p1273, c8])).
% 28.97/4.12 cnf(p1852, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk1)) | distinct_lines(sk1,X0) | distinct_lines(X0,sk2) | ~spl1 | ~spl96), inference(resolution, [status(thm)], [p1428, p176])).
% 28.97/4.12 cnf(ssp310, plain, (~spl1 | ~spl96 | spl72 | spl209), inference(avatar_split_clause, [status(thm)], [p1852, sdef72, sdef209])).
% 28.97/4.12 cnf(p1429, plain, (~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk2,sk1)) | ~spl96), inference(resolution, [status(thm)], [p1273, c9])).
% 28.97/4.12 cnf(p1855, plain, (distinct_points(X0,intersection_point(sk2,sk1)) | distinct_lines(sk1,sk1) | distinct_points(intersection_point(sk2,sk3),X0) | ~spl1 | ~spl96), inference(resolution, [status(thm)], [p1429, p175])).
% 28.97/4.12 cnf(ssp311, plain, (~spl1 | ~spl96 | spl184 | spl204), inference(avatar_split_clause, [status(thm)], [p1855, sdef184, sdef204])).
% 28.97/4.12 cnf(p1427, plain, (convergent_lines(sk2,X0) | convergent_lines(sk1,X0) | ~spl96), inference(resolution, [status(thm)], [p1273, c5])).
% 28.97/4.12 cnf(p1551, plain, (convergent_lines(sk1,sk2) | ~spl96), inference(resolution, [status(thm)], [p1427, c2])).
% 28.97/4.12 cnf(p1557, plain, (~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk1,sk2)) | ~spl96), inference(resolution, [status(thm)], [p1551, c8])).
% 28.97/4.12 cnf(p1862, plain, (distinct_points(X0,intersection_point(sk1,sk2)) | distinct_lines(sk1,sk1) | distinct_points(intersection_point(sk2,sk3),X0) | ~spl1 | ~spl96), inference(resolution, [status(thm)], [p1557, p175])).
% 28.97/4.12 cnf(ssp312, plain, (~spl1 | ~spl96 | spl184 | spl202), inference(avatar_split_clause, [status(thm)], [p1862, sdef184, sdef202])).
% 28.97/4.12 cnf(p181, 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])).
% 28.97/4.12 cnf(p1864, plain, (distinct_lines(sk1,X0) | distinct_lines(X1,X0) | distinct_lines(X1,X2) | distinct_lines(X3,X2) | apart_point_and_line(X4,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X3) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X3) | ~spl1), inference(resolution, [status(thm)], [p181, p128])).
% 28.97/4.12 fof(sdef215, definition, (spl215 <=> (distinct_lines(sk1,X0) | distinct_lines(X1,X0) | distinct_lines(X1,X2) | distinct_lines(X3,X2) | apart_point_and_line(X4,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X3) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X3))), introduced(definition, [new_symbols(naming, [spl215])], [avatar_definition])).
% 28.97/4.12 cnf(ssp313, plain, (~spl1 | spl0 | spl215), inference(avatar_split_clause, [status(thm)], [p1864, sdef0, sdef215])).
% 28.97/4.12 cnf(p186, plain, distinct_lines(X0,sk1) | distinct_lines(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p41, c4])).
% 28.97/4.12 cnf(p1885, plain, (distinct_lines(X0,sk1) | distinct_lines(X0,X1) | distinct_lines(X1,X2) | apart_point_and_line(X3,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X2) | apart_point_and_line(X3,sk0) | apart_point_and_line(X3,X2) | ~spl1), inference(resolution, [status(thm)], [p186, p128])).
% 28.97/4.12 fof(sdef216, definition, (spl216 <=> (distinct_lines(X0,sk1) | distinct_lines(X0,X1) | distinct_lines(X1,X2) | apart_point_and_line(X3,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X2) | apart_point_and_line(X3,sk0) | apart_point_and_line(X3,X2))), introduced(definition, [new_symbols(naming, [spl216])], [avatar_definition])).
% 28.97/4.12 cnf(ssp314, plain, (~spl1 | spl0 | spl216), inference(avatar_split_clause, [status(thm)], [p1885, sdef0, sdef216])).
% 28.97/4.12 cnf(p308, plain, convergent_lines(X0,sk3) | convergent_lines(X0,X1) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p109, c13])).
% 28.97/4.12 cnf(p573, plain, convergent_lines(X0,sk3) | distinct_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p308, c13])).
% 28.97/4.12 cnf(p1895, plain, (convergent_lines(X0,sk3) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X2,sk2) | apart_point_and_line(X2,X1) | ~spl1), inference(resolution, [status(thm)], [p573, p128])).
% 28.97/4.12 fof(sdef217, definition, (spl217 <=> (convergent_lines(X0,sk3) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X2,sk2) | apart_point_and_line(X2,X1))), introduced(definition, [new_symbols(naming, [spl217])], [avatar_definition])).
% 28.97/4.12 cnf(ssp315, plain, (~spl1 | spl18 | spl217), inference(avatar_split_clause, [status(thm)], [p1895, sdef18, sdef217])).
% 28.97/4.12 cnf(p187, plain, distinct_lines(X0,sk1) | distinct_lines(sk0,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p41, c4])).
% 28.97/4.12 cnf(p1915, plain, (distinct_lines(X0,sk1) | distinct_lines(X0,X1) | distinct_lines(X2,X1) | apart_point_and_line(X3,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X2) | apart_point_and_line(X3,sk0) | apart_point_and_line(X3,X2) | ~spl1), inference(resolution, [status(thm)], [p187, p128])).
% 28.97/4.12 fof(sdef218, definition, (spl218 <=> (distinct_lines(X0,sk1) | distinct_lines(X0,X1) | distinct_lines(X2,X1) | apart_point_and_line(X3,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X2) | apart_point_and_line(X3,sk0) | apart_point_and_line(X3,X2))), introduced(definition, [new_symbols(naming, [spl218])], [avatar_definition])).
% 28.97/4.12 cnf(ssp316, plain, (~spl1 | spl0 | spl218), inference(avatar_split_clause, [status(thm)], [p1915, sdef0, sdef218])).
% 28.97/4.12 cnf(p189, 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])).
% 28.97/4.12 cnf(p1945, plain, (distinct_lines(X0,X1) | distinct_lines(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X0) | ~spl1), inference(resolution, [status(thm)], [p189, p128])).
% 28.97/4.12 fof(sdef219, definition, (spl219 <=> (distinct_lines(X0,X1) | distinct_lines(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X0))), introduced(definition, [new_symbols(naming, [spl219])], [avatar_definition])).
% 28.97/4.12 cnf(ssp317, plain, (~spl1 | spl0 | spl219), inference(avatar_split_clause, [status(thm)], [p1945, sdef0, sdef219])).
% 28.97/4.12 cnf(p656, plain, (distinct_lines(X0,sk1) | distinct_lines(X0,X1) | distinct_lines(sk2,X1) | ~spl5), inference(resolution, [status(thm)], [p652, c4])).
% 28.97/4.12 cnf(p1951, plain, (distinct_lines(X0,sk1) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X2,sk2) | apart_point_and_line(X2,X1) | ~spl1 | ~spl5), inference(resolution, [status(thm)], [p656, p128])).
% 28.97/4.12 fof(sdef220, definition, (spl220 <=> (distinct_lines(X0,sk1) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X2,sk2) | apart_point_and_line(X2,X1))), introduced(definition, [new_symbols(naming, [spl220])], [avatar_definition])).
% 28.97/4.12 cnf(ssp318, plain, (~spl1 | ~spl5 | spl18 | spl220), inference(avatar_split_clause, [status(thm)], [p1951, sdef18, sdef220])).
% 28.97/4.12 cnf(p190, 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])).
% 28.97/4.12 cnf(p1967, plain, (distinct_lines(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X1,X3) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X0) | ~spl1), inference(resolution, [status(thm)], [p190, p128])).
% 28.97/4.12 fof(sdef221, definition, (spl221 <=> (distinct_lines(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X1,X3) | distinct_lines(X2,X3) | apart_point_and_line(X4,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X0))), introduced(definition, [new_symbols(naming, [spl221])], [avatar_definition])).
% 28.97/4.12 cnf(ssp319, plain, (~spl1 | spl0 | spl221), inference(avatar_split_clause, [status(thm)], [p1967, sdef0, sdef221])).
% 28.97/4.12 cnf(p672, plain, (distinct_lines(X0,sk1) | distinct_lines(X0,X1) | distinct_lines(sk3,X1) | ~spl6), inference(resolution, [status(thm)], [p668, c4])).
% 28.97/4.12 cnf(p1978, plain, (distinct_lines(X0,sk1) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X2,sk3) | apart_point_and_line(X2,X1) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p672, p128])).
% 28.97/4.12 fof(sdef222, definition, (spl222 <=> (distinct_lines(X0,sk1) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X2,sk3) | apart_point_and_line(X2,X1))), introduced(definition, [new_symbols(naming, [spl222])], [avatar_definition])).
% 28.97/4.12 cnf(ssp320, plain, (~spl1 | ~spl6 | spl19 | spl222), inference(avatar_split_clause, [status(thm)], [p1978, sdef19, sdef222])).
% 28.97/4.12 cnf(p192, plain, distinct_lines(X0,sk3) | distinct_lines(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p46, c4])).
% 28.97/4.12 cnf(p1990, plain, (distinct_lines(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X1,X2) | apart_point_and_line(X3,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(X3,X0) | apart_point_and_line(X3,sk3) | ~spl1), inference(resolution, [status(thm)], [p192, p128])).
% 28.97/4.12 fof(sdef223, definition, (spl223 <=> (distinct_lines(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X1,X2) | apart_point_and_line(X3,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X3,X0) | apart_point_and_line(X3,sk3))), introduced(definition, [new_symbols(naming, [spl223])], [avatar_definition])).
% 28.97/4.12 cnf(ssp321, plain, (~spl1 | spl19 | spl223), inference(avatar_split_clause, [status(thm)], [p1990, sdef19, sdef223])).
% 28.97/4.12 cnf(p1993, plain, (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | distinct_lines(X1,X2) | apart_point_and_line(X3,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X2) | apart_point_and_line(X3,sk2) | apart_point_and_line(X3,X2) | ~spl1), inference(resolution, [status(thm)], [p192, p128])).
% 28.97/4.12 fof(sdef224, definition, (spl224 <=> (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | distinct_lines(X1,X2) | apart_point_and_line(X3,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X2) | apart_point_and_line(X3,sk2) | apart_point_and_line(X3,X2))), introduced(definition, [new_symbols(naming, [spl224])], [avatar_definition])).
% 28.97/4.12 cnf(ssp322, plain, (~spl1 | spl18 | spl224), inference(avatar_split_clause, [status(thm)], [p1993, sdef18, sdef224])).
% 28.97/4.12 cnf(p804, plain, (apart_point_and_line(intersection_point(sk2,sk3),line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl49), inference(avatar_component_clause, [status(thm)], [sdef49])).
% 28.97/4.12 cnf(p2005, plain, (convergent_lines(sk0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | convergent_lines(sk1,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),X0)) | ~spl49), inference(resolution, [status(thm)], [p804, p66])).
% 28.97/4.12 fof(sdef225, definition, (spl225 <=> (convergent_lines(sk0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))))), introduced(definition, [new_symbols(naming, [spl225])], [avatar_definition])).
% 28.97/4.12 fof(sdef226, definition, (spl226 <=> (convergent_lines(sk1,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),X0)))), introduced(definition, [new_symbols(naming, [spl226])], [avatar_definition])).
% 28.97/4.12 cnf(ssp323, plain, (~spl49 | spl225 | spl226), inference(avatar_split_clause, [status(thm)], [p2005, sdef225, sdef226])).
% 28.97/4.12 cnf(p2008, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))) | convergent_lines(sk0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl49), inference(resolution, [status(thm)], [p804, p69])).
% 28.97/4.12 fof(sdef227, definition, (spl227 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))))), introduced(definition, [new_symbols(naming, [spl227])], [avatar_definition])).
% 28.97/4.12 cnf(ssp324, plain, (~spl49 | spl225 | spl227), inference(avatar_split_clause, [status(thm)], [p2008, sdef225, sdef227])).
% 28.97/4.12 cnf(p2010, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))) | convergent_lines(sk2,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl49), inference(resolution, [status(thm)], [p804, p70])).
% 28.97/4.12 fof(sdef228, definition, (spl228 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))))), introduced(definition, [new_symbols(naming, [spl228])], [avatar_definition])).
% 28.97/4.12 fof(sdef229, definition, (spl229 <=> (convergent_lines(sk2,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))))), introduced(definition, [new_symbols(naming, [spl229])], [avatar_definition])).
% 28.97/4.12 cnf(ssp325, plain, (~spl49 | spl228 | spl229), inference(avatar_split_clause, [status(thm)], [p2010, sdef228, sdef229])).
% 28.97/4.12 cnf(p2013, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))) | distinct_lines(sk1,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl49), inference(resolution, [status(thm)], [p804, p71])).
% 28.97/4.12 fof(sdef230, definition, (spl230 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))))), introduced(definition, [new_symbols(naming, [spl230])], [avatar_definition])).
% 28.97/4.12 cnf(ssp326, plain, (~spl49 | spl11 | spl230), inference(avatar_split_clause, [status(thm)], [p2013, sdef11, sdef230])).
% 28.97/4.12 cnf(p2015, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))) | distinct_lines(sk3,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl49), inference(resolution, [status(thm)], [p804, p72])).
% 28.97/4.12 fof(sdef231, definition, (spl231 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))))), introduced(definition, [new_symbols(naming, [spl231])], [avatar_definition])).
% 28.97/4.12 fof(sdef232, definition, (spl232 <=> (distinct_lines(sk3,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))))), introduced(definition, [new_symbols(naming, [spl232])], [avatar_definition])).
% 28.97/4.12 cnf(ssp327, plain, (~spl49 | spl231 | spl232), inference(avatar_split_clause, [status(thm)], [p2015, sdef231, sdef232])).
% 28.97/4.12 cnf(p2018, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))) | convergent_lines(sk1,X0) | convergent_lines(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),X0) | ~spl49), inference(resolution, [status(thm)], [p804, p73])).
% 28.97/4.12 fof(sdef233, definition, (spl233 <=> (convergent_lines(sk1,X0) | convergent_lines(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),X0))), introduced(definition, [new_symbols(naming, [spl233])], [avatar_definition])).
% 28.97/4.12 cnf(ssp328, plain, (~spl49 | spl230 | spl233), inference(avatar_split_clause, [status(thm)], [p2018, sdef230, sdef233])).
% 28.97/4.12 cnf(p2020, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk1,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))) | convergent_lines(sk0,X0) | convergent_lines(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl49), inference(resolution, [status(thm)], [p804, p74])).
% 28.97/4.12 fof(sdef234, definition, (spl234 <=> (convergent_lines(sk0,X0) | convergent_lines(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))))), introduced(definition, [new_symbols(naming, [spl234])], [avatar_definition])).
% 28.97/4.12 cnf(ssp329, plain, (~spl49 | spl227 | spl234), inference(avatar_split_clause, [status(thm)], [p2020, sdef227, sdef234])).
% 28.97/4.12 cnf(p2022, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))) | convergent_lines(sk0,X0) | convergent_lines(sk1,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl49), inference(resolution, [status(thm)], [p804, p75])).
% 28.97/4.12 fof(sdef235, definition, (spl235 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl235])], [avatar_definition])).
% 28.97/4.12 fof(sdef236, definition, (spl236 <=> (convergent_lines(sk1,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))))), introduced(definition, [new_symbols(naming, [spl236])], [avatar_definition])).
% 28.97/4.12 cnf(ssp330, plain, (~spl49 | spl235 | spl236), inference(avatar_split_clause, [status(thm)], [p2022, sdef235, sdef236])).
% 28.97/4.12 cnf(p2025, plain, (convergent_lines(sk0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | distinct_points(intersection_point(sk2,sk3),intersection_point(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),sk1)) | ~spl49), inference(resolution, [status(thm)], [p804, p80])).
% 28.97/4.12 fof(sdef237, definition, (spl237 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),sk1)))), introduced(definition, [new_symbols(naming, [spl237])], [avatar_definition])).
% 28.97/4.12 cnf(ssp331, plain, (~spl49 | spl225 | spl237), inference(avatar_split_clause, [status(thm)], [p2025, sdef225, sdef237])).
% 28.97/4.12 cnf(p2027, plain, (convergent_lines(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),sk1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))) | ~spl49), inference(resolution, [status(thm)], [p804, p81])).
% 28.97/4.12 fof(sdef238, definition, (spl238 <=> (convergent_lines(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),sk1))), introduced(definition, [new_symbols(naming, [spl238])], [avatar_definition])).
% 28.97/4.12 cnf(ssp332, plain, (~spl49 | spl230 | spl238), inference(avatar_split_clause, [status(thm)], [p2027, sdef230, sdef238])).
% 28.97/4.12 cnf(p2029, plain, (distinct_lines(sk0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | distinct_points(intersection_point(sk2,sk3),intersection_point(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),sk1)) | ~spl49), inference(resolution, [status(thm)], [p804, p83])).
% 28.97/4.12 cnf(ssp333, plain, (~spl49 | spl10 | spl237), inference(avatar_split_clause, [status(thm)], [p2029, sdef10, sdef237])).
% 28.97/4.12 cnf(p2030, plain, (distinct_lines(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),sk1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))) | ~spl49), inference(resolution, [status(thm)], [p804, p87])).
% 28.97/4.12 fof(sdef239, definition, (spl239 <=> (distinct_lines(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),sk1))), introduced(definition, [new_symbols(naming, [spl239])], [avatar_definition])).
% 28.97/4.12 cnf(ssp334, plain, (~spl49 | spl230 | spl239), inference(avatar_split_clause, [status(thm)], [p2030, sdef230, sdef239])).
% 28.97/4.12 cnf(p2032, plain, (convergent_lines(sk2,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | convergent_lines(sk3,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),X0)) | ~spl49), inference(resolution, [status(thm)], [p804, p103])).
% 28.97/4.12 fof(sdef240, definition, (spl240 <=> (convergent_lines(sk3,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),X0)))), introduced(definition, [new_symbols(naming, [spl240])], [avatar_definition])).
% 28.97/4.12 cnf(ssp335, plain, (~spl49 | spl229 | spl240), inference(avatar_split_clause, [status(thm)], [p2032, sdef229, sdef240])).
% 28.97/4.12 cnf(p2034, plain, (convergent_lines(sk3,X0) | convergent_lines(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))) | ~spl49), inference(resolution, [status(thm)], [p804, p104])).
% 28.97/4.12 fof(sdef241, definition, (spl241 <=> (convergent_lines(sk3,X0) | convergent_lines(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),X0))), introduced(definition, [new_symbols(naming, [spl241])], [avatar_definition])).
% 28.97/4.12 cnf(ssp336, plain, (~spl49 | spl231 | spl241), inference(avatar_split_clause, [status(thm)], [p2034, sdef231, sdef241])).
% 28.97/4.12 cnf(p2036, plain, (convergent_lines(sk2,X0) | convergent_lines(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk3,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))) | ~spl49), inference(resolution, [status(thm)], [p804, p105])).
% 28.97/4.12 fof(sdef242, definition, (spl242 <=> (convergent_lines(sk2,X0) | convergent_lines(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))))), introduced(definition, [new_symbols(naming, [spl242])], [avatar_definition])).
% 28.97/4.12 cnf(ssp337, plain, (~spl49 | spl228 | spl242), inference(avatar_split_clause, [status(thm)], [p2036, sdef228, sdef242])).
% 28.97/4.12 cnf(p2038, plain, (convergent_lines(sk2,X0) | convergent_lines(sk3,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | distinct_points(intersection_point(sk2,sk3),intersection_point(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))) | ~spl49), inference(resolution, [status(thm)], [p804, p106])).
% 28.97/4.12 fof(sdef243, definition, (spl243 <=> (convergent_lines(sk2,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))))), introduced(definition, [new_symbols(naming, [spl243])], [avatar_definition])).
% 28.97/4.12 fof(sdef244, definition, (spl244 <=> (convergent_lines(sk3,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))))), introduced(definition, [new_symbols(naming, [spl244])], [avatar_definition])).
% 28.97/4.12 cnf(ssp338, plain, (~spl49 | spl243 | spl244), inference(avatar_split_clause, [status(thm)], [p2038, sdef243, sdef244])).
% 28.97/4.12 cnf(p2041, plain, (convergent_lines(sk2,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | distinct_points(intersection_point(sk2,sk3),intersection_point(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),sk3)) | ~spl49), inference(resolution, [status(thm)], [p804, p111])).
% 28.97/4.12 fof(sdef245, definition, (spl245 <=> (distinct_points(intersection_point(sk2,sk3),intersection_point(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),sk3)))), introduced(definition, [new_symbols(naming, [spl245])], [avatar_definition])).
% 28.97/4.12 cnf(ssp339, plain, (~spl49 | spl229 | spl245), inference(avatar_split_clause, [status(thm)], [p2041, sdef229, sdef245])).
% 28.97/4.12 cnf(p2043, plain, (convergent_lines(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))) | ~spl49), inference(resolution, [status(thm)], [p804, p112])).
% 28.97/4.12 fof(sdef246, definition, (spl246 <=> (convergent_lines(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),sk3))), introduced(definition, [new_symbols(naming, [spl246])], [avatar_definition])).
% 28.97/4.12 cnf(ssp340, plain, (~spl49 | spl231 | spl246), inference(avatar_split_clause, [status(thm)], [p2043, sdef231, sdef246])).
% 28.97/4.12 cnf(p2045, plain, (distinct_lines(sk2,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | distinct_points(intersection_point(sk2,sk3),intersection_point(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),sk3)) | ~spl49), inference(resolution, [status(thm)], [p804, p116])).
% 28.97/4.12 fof(sdef247, definition, (spl247 <=> (distinct_lines(sk2,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))))), introduced(definition, [new_symbols(naming, [spl247])], [avatar_definition])).
% 28.97/4.12 cnf(ssp341, plain, (~spl49 | spl245 | spl247), inference(avatar_split_clause, [status(thm)], [p2045, sdef245, sdef247])).
% 28.97/4.12 cnf(p2047, plain, (distinct_lines(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),sk3) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))) | ~spl49), inference(resolution, [status(thm)], [p804, p120])).
% 28.97/4.12 fof(sdef248, definition, (spl248 <=> (distinct_lines(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),sk3))), introduced(definition, [new_symbols(naming, [spl248])], [avatar_definition])).
% 28.97/4.12 cnf(ssp342, plain, (~spl49 | spl231 | spl248), inference(avatar_split_clause, [status(thm)], [p2047, sdef231, sdef248])).
% 28.97/4.12 cnf(p2049, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk3)) | ~spl1 | ~spl49), inference(resolution, [status(thm)], [p804, p126])).
% 28.97/4.12 cnf(ssp343, plain, (~spl1 | ~spl49 | spl3 | spl28), inference(avatar_split_clause, [status(thm)], [p2049, sdef3, sdef28])).
% 28.97/4.12 cnf(p193, plain, distinct_lines(X0,sk3) | distinct_lines(sk2,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p46, c4])).
% 28.97/4.12 cnf(p2055, plain, (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | distinct_lines(X2,X1) | apart_point_and_line(X3,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X2) | apart_point_and_line(X3,sk2) | apart_point_and_line(X3,X2) | ~spl1), inference(resolution, [status(thm)], [p193, p128])).
% 28.97/4.12 fof(sdef249, definition, (spl249 <=> (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | distinct_lines(X2,X1) | apart_point_and_line(X3,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X2) | apart_point_and_line(X3,sk2) | apart_point_and_line(X3,X2))), introduced(definition, [new_symbols(naming, [spl249])], [avatar_definition])).
% 28.97/4.12 cnf(ssp344, plain, (~spl1 | spl18 | spl249), inference(avatar_split_clause, [status(thm)], [p2055, sdef18, sdef249])).
% 28.97/4.12 cnf(p2017, plain, (distinct_lines(sk3,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl232), inference(avatar_component_clause, [status(thm)], [sdef232])).
% 28.97/4.12 cnf(p2063, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl1 | ~spl232), inference(resolution, [status(thm)], [p2017, p128])).
% 28.97/4.12 fof(sdef250, definition, (spl250 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))))), introduced(definition, [new_symbols(naming, [spl250])], [avatar_definition])).
% 28.97/4.12 cnf(ssp345, plain, (~spl1 | ~spl232 | spl19 | spl49 | spl250), inference(avatar_split_clause, [status(thm)], [p2063, sdef19, sdef49, sdef250])).
% 28.97/4.12 cnf(p199, 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])).
% 28.97/4.12 cnf(p2074, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,X1) | distinct_lines(X2,X3) | distinct_lines(X1,X3) | apart_point_and_line(X4,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),X2) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X2) | ~spl1), inference(resolution, [status(thm)], [p199, p128])).
% 28.97/4.12 fof(sdef251, definition, (spl251 <=> (distinct_lines(sk1,X0) | distinct_lines(X0,X1) | distinct_lines(X2,X3) | distinct_lines(X1,X3) | apart_point_and_line(X4,sk1) | apart_point_and_line(intersection_point(sk2,sk3),X2) | apart_point_and_line(X4,sk0) | apart_point_and_line(X4,X2))), introduced(definition, [new_symbols(naming, [spl251])], [avatar_definition])).
% 28.97/4.12 cnf(ssp346, plain, (~spl1 | spl0 | spl251), inference(avatar_split_clause, [status(thm)], [p2074, sdef0, sdef251])).
% 28.97/4.12 cnf(p2046, plain, (distinct_lines(sk2,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl247), inference(avatar_component_clause, [status(thm)], [sdef247])).
% 28.97/4.12 cnf(p2086, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl1 | ~spl247), inference(resolution, [status(thm)], [p2046, p128])).
% 28.97/4.12 fof(sdef252, definition, (spl252 <=> (apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))))), introduced(definition, [new_symbols(naming, [spl252])], [avatar_definition])).
% 28.97/4.12 cnf(ssp347, plain, (~spl1 | ~spl247 | spl18 | spl49 | spl252), inference(avatar_split_clause, [status(thm)], [p2086, sdef18, sdef49, sdef252])).
% 28.97/4.12 cnf(p2048, plain, (distinct_lines(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),sk3) | ~spl248), inference(avatar_component_clause, [status(thm)], [sdef248])).
% 28.97/4.12 cnf(p2100, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | apart_point_and_line(X0,sk3) | ~spl1 | ~spl248), inference(resolution, [status(thm)], [p2048, p128])).
% 28.97/4.12 cnf(ssp348, plain, (~spl1 | ~spl248 | spl19 | spl49 | spl250), inference(avatar_split_clause, [status(thm)], [p2100, sdef19, sdef49, sdef250])).
% 28.97/4.12 cnf(p2006, plain, (convergent_lines(sk0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl225), inference(avatar_component_clause, [status(thm)], [sdef225])).
% 28.97/4.12 cnf(p2050, plain, (distinct_lines(sk0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl225), inference(resolution, [status(thm)], [p2006, c13])).
% 28.97/4.12 cnf(p2102, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl1 | ~spl225), inference(resolution, [status(thm)], [p2050, p128])).
% 28.97/4.12 cnf(ssp349, plain, (~spl1 | ~spl225 | spl0 | spl49 | spl143), inference(avatar_split_clause, [status(thm)], [p2102, sdef0, sdef49, sdef143])).
% 28.97/4.12 cnf(p2012, plain, (convergent_lines(sk2,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl229), inference(avatar_component_clause, [status(thm)], [sdef229])).
% 28.97/4.12 cnf(p2058, plain, (distinct_lines(sk2,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl229), inference(resolution, [status(thm)], [p2012, c13])).
% 28.97/4.12 cnf(p2104, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl1 | ~spl229), inference(resolution, [status(thm)], [p2058, p128])).
% 28.97/4.12 cnf(ssp350, plain, (~spl1 | ~spl229 | spl18 | spl49 | spl252), inference(avatar_split_clause, [status(thm)], [p2104, sdef18, sdef49, sdef252])).
% 28.97/4.12 cnf(p2040, plain, (convergent_lines(sk3,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl244), inference(avatar_component_clause, [status(thm)], [sdef244])).
% 28.97/4.12 cnf(p2077, plain, (distinct_lines(sk3,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl244), inference(resolution, [status(thm)], [p2040, c13])).
% 28.97/4.12 cnf(p2117, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl1 | ~spl244), inference(resolution, [status(thm)], [p2077, p128])).
% 28.97/4.12 cnf(ssp351, plain, (~spl1 | ~spl244 | spl19 | spl49 | spl250), inference(avatar_split_clause, [status(thm)], [p2117, sdef19, sdef49, sdef250])).
% 28.97/4.12 cnf(p2044, plain, (convergent_lines(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),sk3) | ~spl246), inference(avatar_component_clause, [status(thm)], [sdef246])).
% 28.97/4.12 cnf(p2081, plain, (distinct_lines(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),sk3) | ~spl246), inference(resolution, [status(thm)], [p2044, c13])).
% 28.97/4.12 cnf(p2119, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | apart_point_and_line(X0,sk3) | ~spl1 | ~spl246), inference(resolution, [status(thm)], [p2081, p128])).
% 28.97/4.12 cnf(ssp352, plain, (~spl1 | ~spl246 | spl19 | spl49 | spl250), inference(avatar_split_clause, [status(thm)], [p2119, sdef19, sdef49, sdef250])).
% 28.97/4.12 cnf(p805, plain, (apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl50), inference(avatar_component_clause, [status(thm)], [sdef50])).
% 28.97/4.12 cnf(p2122, plain, (convergent_lines(sk0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | convergent_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),X0)) | ~spl50), inference(resolution, [status(thm)], [p805, p66])).
% 28.97/4.12 fof(sdef253, definition, (spl253 <=> (convergent_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),X0)))), introduced(definition, [new_symbols(naming, [spl253])], [avatar_definition])).
% 28.97/4.12 cnf(ssp353, plain, (~spl50 | spl225 | spl253), inference(avatar_split_clause, [status(thm)], [p2122, sdef225, sdef253])).
% 28.97/4.12 cnf(p2124, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))) | convergent_lines(sk0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl50), inference(resolution, [status(thm)], [p805, p69])).
% 28.97/4.12 fof(sdef254, definition, (spl254 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))))), introduced(definition, [new_symbols(naming, [spl254])], [avatar_definition])).
% 28.97/4.12 cnf(ssp354, plain, (~spl50 | spl225 | spl254), inference(avatar_split_clause, [status(thm)], [p2124, sdef225, sdef254])).
% 28.97/4.12 cnf(p2126, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))) | convergent_lines(sk2,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl50), inference(resolution, [status(thm)], [p805, p70])).
% 28.97/4.12 fof(sdef255, definition, (spl255 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))))), introduced(definition, [new_symbols(naming, [spl255])], [avatar_definition])).
% 28.97/4.12 cnf(ssp355, plain, (~spl50 | spl229 | spl255), inference(avatar_split_clause, [status(thm)], [p2126, sdef229, sdef255])).
% 28.97/4.12 cnf(p2131, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))) | convergent_lines(sk0,X0) | convergent_lines(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | ~spl50), inference(resolution, [status(thm)], [p805, p74])).
% 28.97/4.12 cnf(ssp356, plain, (~spl50 | spl234 | spl254), inference(avatar_split_clause, [status(thm)], [p2131, sdef234, sdef254])).
% 28.97/4.12 cnf(p2139, plain, (convergent_lines(sk2,X0) | convergent_lines(X0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))) | ~spl50), inference(resolution, [status(thm)], [p805, p105])).
% 28.97/4.12 cnf(ssp357, plain, (~spl50 | spl242 | spl255), inference(avatar_split_clause, [status(thm)], [p2139, sdef242, sdef255])).
% 28.97/4.12 cnf(p208, 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])).
% 28.97/4.13 cnf(p2171, plain, (convergent_lines(sk1,X0) | distinct_lines(sk0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | distinct_points(intersection_point(sk0,sk1),intersection_point(line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)),X0)) | ~spl50), inference(resolution, [status(thm)], [p208, p805])).
% 28.97/4.13 cnf(ssp358, plain, (~spl50 | spl10 | spl253), inference(avatar_split_clause, [status(thm)], [p2171, sdef10, sdef253])).
% 28.97/4.13 cnf(p863, plain, (convergent_lines(sk1,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X0)) | ~spl65), inference(avatar_component_clause, [status(thm)], [sdef65])).
% 28.97/4.13 cnf(p2157, plain, (convergent_lines(sk1,sk3) | ~spl65), inference(resolution, [status(thm)], [p863, c0])).
% 28.97/4.13 cnf(p2164, plain, (~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk1,sk3)) | ~spl65), inference(resolution, [status(thm)], [p2157, c8])).
% 28.97/4.13 cnf(p2179, plain, (distinct_points(X0,intersection_point(sk1,sk3)) | distinct_lines(sk1,sk1) | distinct_points(intersection_point(sk2,sk3),X0) | ~spl1 | ~spl65), inference(resolution, [status(thm)], [p2164, p175])).
% 28.97/4.13 cnf(ssp359, plain, (~spl1 | ~spl65 | spl184 | spl206), inference(avatar_split_clause, [status(thm)], [p2179, sdef184, sdef206])).
% 28.97/4.13 cnf(p945, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(X0,sk3)) | convergent_lines(sk0,X0) | ~spl81), inference(avatar_component_clause, [status(thm)], [sdef81])).
% 28.97/4.13 cnf(p2207, plain, (convergent_lines(sk0,sk2) | ~spl81), inference(resolution, [status(thm)], [p945, c0])).
% 28.97/4.13 cnf(p2212, plain, (distinct_lines(sk0,sk2) | ~spl81), inference(resolution, [status(thm)], [p2207, c13])).
% 28.97/4.13 cnf(p2217, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | ~spl1 | ~spl81), inference(resolution, [status(thm)], [p2212, p128])).
% 28.97/4.13 cnf(ssp360, plain, (~spl1 | ~spl81 | spl0 | spl18 | spl122), inference(avatar_split_clause, [status(thm)], [p2217, sdef0, sdef18, sdef122])).
% 28.97/4.13 cnf(p2216, plain, (distinct_lines(sk0,X0) | distinct_lines(sk2,X0) | ~spl81), inference(resolution, [status(thm)], [p2212, c4])).
% 28.97/4.13 cnf(p2226, plain, (distinct_lines(sk0,X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | ~spl1 | ~spl81), inference(resolution, [status(thm)], [p2216, p128])).
% 28.97/4.13 cnf(ssp361, plain, (~spl1 | ~spl81 | spl18 | spl168), inference(avatar_split_clause, [status(thm)], [p2226, sdef18, sdef168])).
% 28.97/4.13 cnf(p202, plain, convergent_lines(sk1,X0) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p58, c2])).
% 28.97/4.13 cnf(p212, plain, distinct_lines(sk0,X0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(sk1,X0)), inference(resolution, [status(thm)], [p202, c9])).
% 28.97/4.13 cnf(p2231, plain, (distinct_lines(sk0,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1))) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,line_connecting(intersection_point(sk2,sk3),intersection_point(sk0,sk1)))) | ~spl50), inference(resolution, [status(thm)], [p212, p805])).
% 28.97/4.13 cnf(ssp362, plain, (~spl50 | spl10 | spl254), inference(avatar_split_clause, [status(thm)], [p2231, sdef10, sdef254])).
% 28.97/4.13 cnf(p2215, plain, (~apart_point_and_line(X0,sk2) | distinct_points(X0,intersection_point(sk0,sk2)) | ~spl81), inference(resolution, [status(thm)], [p2207, c9])).
% 28.97/4.13 cnf(p2232, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk2)) | distinct_lines(sk1,sk2) | ~spl1 | ~spl81), inference(resolution, [status(thm)], [p2215, p130])).
% 28.97/4.13 cnf(ssp363, plain, (~spl1 | ~spl81 | spl5 | spl67), inference(avatar_split_clause, [status(thm)], [p2232, sdef5, sdef67])).
% 28.97/4.13 cnf(p2233, plain, (distinct_points(X0,intersection_point(sk0,sk2)) | distinct_lines(sk1,sk2) | distinct_points(intersection_point(sk2,sk3),X0) | ~spl1 | ~spl81), inference(resolution, [status(thm)], [p2215, p175])).
% 28.97/4.13 cnf(ssp364, plain, (~spl1 | ~spl81 | spl5 | spl193), inference(avatar_split_clause, [status(thm)], [p2233, sdef5, sdef193])).
% 28.97/4.13 cnf(p2234, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk2)) | distinct_lines(sk1,X0) | distinct_lines(X0,sk2) | ~spl1 | ~spl81), inference(resolution, [status(thm)], [p2215, p176])).
% 28.97/4.13 cnf(ssp365, plain, (~spl1 | ~spl81 | spl67 | spl209), inference(avatar_split_clause, [status(thm)], [p2234, sdef67, sdef209])).
% 28.97/4.13 cnf(p1086, plain, (convergent_lines(sk2,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk1)) | ~spl101), inference(avatar_component_clause, [status(thm)], [sdef101])).
% 28.97/4.13 cnf(p2406, plain, (convergent_lines(sk2,sk0) | ~spl101), inference(resolution, [status(thm)], [p1086, c0])).
% 28.97/4.13 cnf(p2411, plain, (distinct_lines(sk2,sk0) | ~spl101), inference(resolution, [status(thm)], [p2406, c13])).
% 28.97/4.13 cnf(p2416, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk0) | ~spl1 | ~spl101), inference(resolution, [status(thm)], [p2411, p128])).
% 28.97/4.13 cnf(ssp366, plain, (~spl1 | ~spl101 | spl0 | spl18 | spl122), inference(avatar_split_clause, [status(thm)], [p2416, sdef0, sdef18, sdef122])).
% 28.97/4.13 cnf(p2415, plain, (distinct_lines(sk2,X0) | distinct_lines(sk0,X0) | ~spl101), inference(resolution, [status(thm)], [p2411, c4])).
% 28.97/4.13 cnf(p2431, plain, (distinct_lines(sk0,X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | ~spl1 | ~spl101), inference(resolution, [status(thm)], [p2415, p128])).
% 28.97/4.13 cnf(ssp367, plain, (~spl1 | ~spl101 | spl18 | spl168), inference(avatar_split_clause, [status(thm)], [p2431, sdef18, sdef168])).
% 28.97/4.13 cnf(p2413, plain, (~apart_point_and_line(X0,sk2) | distinct_points(X0,intersection_point(sk2,sk0)) | ~spl101), inference(resolution, [status(thm)], [p2406, c8])).
% 28.97/4.13 cnf(p2445, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk0)) | distinct_lines(sk1,sk2) | ~spl1 | ~spl101), inference(resolution, [status(thm)], [p2413, p130])).
% 28.97/4.13 cnf(ssp368, plain, (~spl1 | ~spl101 | spl5 | spl16), inference(avatar_split_clause, [status(thm)], [p2445, sdef5, sdef16])).
% 28.97/4.13 cnf(p2446, plain, (distinct_points(X0,intersection_point(sk2,sk0)) | distinct_lines(sk1,sk2) | distinct_points(intersection_point(sk2,sk3),X0) | ~spl1 | ~spl101), inference(resolution, [status(thm)], [p2413, p175])).
% 28.97/4.13 cnf(ssp369, plain, (~spl1 | ~spl101 | spl5 | spl192), inference(avatar_split_clause, [status(thm)], [p2446, sdef5, sdef192])).
% 28.97/4.13 cnf(p2447, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk0)) | distinct_lines(sk1,X0) | distinct_lines(X0,sk2) | ~spl1 | ~spl101), inference(resolution, [status(thm)], [p2413, p176])).
% 28.97/4.13 cnf(ssp370, plain, (~spl1 | ~spl101 | spl16 | spl209), inference(avatar_split_clause, [status(thm)], [p2447, sdef16, sdef209])).
% 28.97/4.13 cnf(p2412, plain, (convergent_lines(sk2,X0) | convergent_lines(sk0,X0) | ~spl101), inference(resolution, [status(thm)], [p2406, c5])).
% 28.97/4.13 cnf(p2417, plain, (convergent_lines(sk0,sk2) | ~spl101), inference(resolution, [status(thm)], [p2412, c2])).
% 28.97/4.13 cnf(p2429, plain, (~apart_point_and_line(X0,sk2) | distinct_points(X0,intersection_point(sk0,sk2)) | ~spl101), inference(resolution, [status(thm)], [p2417, c9])).
% 28.97/4.13 cnf(p2448, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk2)) | distinct_lines(sk1,sk2) | ~spl1 | ~spl101), inference(resolution, [status(thm)], [p2429, p130])).
% 28.97/4.13 cnf(ssp371, plain, (~spl1 | ~spl101 | spl5 | spl67), inference(avatar_split_clause, [status(thm)], [p2448, sdef5, sdef67])).
% 28.97/4.13 cnf(p2449, plain, (distinct_points(X0,intersection_point(sk0,sk2)) | distinct_lines(sk1,sk2) | distinct_points(intersection_point(sk2,sk3),X0) | ~spl1 | ~spl101), inference(resolution, [status(thm)], [p2429, p175])).
% 28.97/4.13 cnf(ssp372, plain, (~spl1 | ~spl101 | spl5 | spl193), inference(avatar_split_clause, [status(thm)], [p2449, sdef5, sdef193])).
% 28.97/4.13 cnf(p2450, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk0,sk2)) | distinct_lines(sk1,X0) | distinct_lines(X0,sk2) | ~spl1 | ~spl101), inference(resolution, [status(thm)], [p2429, p176])).
% 28.97/4.13 cnf(ssp373, plain, (~spl1 | ~spl101 | spl67 | spl209), inference(avatar_split_clause, [status(thm)], [p2450, sdef67, sdef209])).
% 28.97/4.13 cnf(p1018, plain, (convergent_lines(sk1,X0) | distinct_lines(sk2,X0) | ~spl68), inference(resolution, [status(thm)], [p869, c13])).
% 28.97/4.13 cnf(p1189, plain, (distinct_lines(sk2,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1) | ~spl68), inference(resolution, [status(thm)], [p1018, c5])).
% 28.97/4.13 cnf(p2667, plain, (distinct_lines(sk2,X0) | convergent_lines(X0,sk1) | ~spl68), inference(resolution, [status(thm)], [p1189, c2])).
% 28.97/4.13 cnf(p2679, plain, (distinct_lines(sk2,X0) | distinct_lines(X0,sk1) | ~spl68), inference(resolution, [status(thm)], [p2667, c13])).
% 28.97/4.13 cnf(p2684, plain, (distinct_lines(X0,sk1) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | ~spl1 | ~spl68), inference(resolution, [status(thm)], [p2679, p128])).
% 28.97/4.13 cnf(ssp374, plain, (~spl1 | ~spl68 | spl18 | spl172), inference(avatar_split_clause, [status(thm)], [p2684, sdef18, sdef172])).
% 28.97/4.13 cnf(p889, plain, (convergent_lines(sk1,X0) | convergent_lines(sk2,X0) | ~spl71), inference(resolution, [status(thm)], [p876, c5])).
% 28.97/4.13 cnf(p1058, plain, (convergent_lines(sk1,X0) | distinct_lines(sk2,X0) | ~spl71), inference(resolution, [status(thm)], [p889, c13])).
% 28.97/4.13 cnf(p1256, plain, (distinct_lines(sk2,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1) | ~spl71), inference(resolution, [status(thm)], [p1058, c5])).
% 28.97/4.13 cnf(p2692, plain, (distinct_lines(sk2,X0) | convergent_lines(X0,sk1) | ~spl71), inference(resolution, [status(thm)], [p1256, c2])).
% 28.97/4.13 cnf(p2701, plain, (distinct_lines(sk2,X0) | distinct_lines(X0,sk1) | ~spl71), inference(resolution, [status(thm)], [p2692, c13])).
% 28.97/4.13 cnf(p2706, plain, (distinct_lines(X0,sk1) | apart_point_and_line(X1,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | ~spl1 | ~spl71), inference(resolution, [status(thm)], [p2701, p128])).
% 28.97/4.13 cnf(ssp375, plain, (~spl1 | ~spl71 | spl18 | spl172), inference(avatar_split_clause, [status(thm)], [p2706, sdef18, sdef172])).
% 28.97/4.13 cnf(p1283, plain, (apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk3) | ~spl115), inference(avatar_component_clause, [status(thm)], [sdef115])).
% 28.97/4.13 cnf(p2739, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | ~spl115), inference(resolution, [status(thm)], [p1283, c17])).
% 28.97/4.13 cnf(ssp376, plain, (~spl115 | spl20 | spl28), inference(avatar_split_clause, [status(thm)], [p2739, sdef20, sdef28])).
% 28.97/4.13 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, sct0, sct1, sct2, sct3, sct4, sct5, sct6, sct7, sct8, sct9, sct10, sct11, sct12, sct13, sct14])).
% 28.97/4.13 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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