FindProof---0.1.THM-Prf.s

%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : GEO191+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n003.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 01:17:22 PM UTC 2026

% Result   : Theorem 77.87s 15.47s
% Output   : Proof 77.87s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO191+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/5.38  % Computer : n003.cluster.edu
% 0.09/5.38  % Model    : x86_64 x86_64
% 0.09/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38  % Memory   : 8046.5625MB
% 0.09/5.38  % OS       : Linux 6.8.0-71-generic
% 0.09/5.38  % CPULimit : 300
% 0.09/5.38  % WCLimit  : 300
% 0.09/5.38  % DateTime : Wed Sep 23 11:24:40 UTC 2026
% 0.09/5.38  % CPUTime  : 
% 0.09/5.38  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 77.87/15.47  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 77.87/15.47  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 77.87/15.47  fof(sdef5, definition, (spl5 <=> (convergent_lines(sk2,sk2))), introduced(definition, [new_symbols(naming, [spl5])], [avatar_definition])).
% 77.87/15.47  cnf(p223, plain, (convergent_lines(sk2,sk2) | ~spl5), inference(avatar_component_clause, [status(thm)], [sdef5])).
% 77.87/15.47  fof(f2, axiom, ! [X] : ~ convergent_lines(X,X), file('/export/starexec/sandbox/benchmark/theBenchmark.p', apart3)).
% 77.87/15.47  fof(f2_nnf, plain, ! [X] : (~(convergent_lines(X,X))), inference(nnf_transformation, [status(thm)], [f2])).
% 77.87/15.47  fof(f2_sk, plain, ! [X] : (~(convergent_lines(X,X))), inference(skolemisation, [status(esa)], [f2_nnf])).
% 77.87/15.47  cnf(c2, plain, ~convergent_lines(X0,X0), inference(cnf_transformation, [status(esa)], [f2_sk])).
% 77.87/15.47  cnf(p248, plain, ($false | ~spl5), inference(resolution, [status(thm)], [p223, c2])).
% 77.87/15.47  cnf(sct0, plain, (~spl5), inference(avatar_contradiction_clause, [status(thm)], [p248])).
% 77.87/15.47  fof(sdef16, definition, (spl16 <=> (apart_point_and_line(intersection_point(sk0,sk1),sk1))), introduced(definition, [new_symbols(naming, [spl16])], [avatar_definition])).
% 77.87/15.47  cnf(p267, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | ~spl16), inference(avatar_component_clause, [status(thm)], [sdef16])).
% 77.87/15.47  fof(f9, axiom, ! [X,Y] : ( convergent_lines(X,Y) => ~ apart_point_and_line(intersection_point(X,Y),Y) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ci4)).
% 77.87/15.47  fof(f9_nnf, plain, ! [X,Y] : ((~(convergent_lines(X,Y)) | ~(apart_point_and_line(intersection_point(X,Y),Y)))), inference(nnf_transformation, [status(thm)], [f9])).
% 77.87/15.47  fof(f9_sk, plain, ! [X,Y] : ((~(convergent_lines(X,Y)) | ~(apart_point_and_line(intersection_point(X,Y),Y)))), inference(skolemisation, [status(esa)], [f9_nnf])).
% 77.87/15.47  cnf(c9, plain, ~convergent_lines(X0,X1) | ~apart_point_and_line(intersection_point(X0,X1),X1), inference(cnf_transformation, [status(esa)], [f9_sk])).
% 77.87/15.47  fof(f14, 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/sandbox/benchmark/theBenchmark.p', con)).
% 77.87/15.47  fof(f14_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)], [f14])).
% 77.87/15.47  fof(f14_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)], [f14_neg])).
% 77.87/15.47  fof(f14_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])], [f14_nnf])).
% 77.87/15.47  cnf(c14, plain, convergent_lines(sk0,sk1), inference(cnf_transformation, [status(esa)], [f14_sk])).
% 77.87/15.47  cnf(p23, plain, ~apart_point_and_line(intersection_point(sk0,sk1),sk1), inference(resolution, [status(thm)], [c9, c14])).
% 77.87/15.47  cnf(p325, plain, ($false | ~spl16), inference(resolution, [status(thm)], [p267, p23])).
% 77.87/15.47  cnf(sct1, plain, (~spl16), inference(avatar_contradiction_clause, [status(thm)], [p325])).
% 77.87/15.47  fof(sdef17, definition, (spl17 <=> (apart_point_and_line(intersection_point(sk0,sk1),sk0))), introduced(definition, [new_symbols(naming, [spl17])], [avatar_definition])).
% 77.87/15.47  cnf(p268, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | ~spl17), inference(avatar_component_clause, [status(thm)], [sdef17])).
% 77.87/15.47  fof(f8, axiom, ! [X,Y] : ( convergent_lines(X,Y) => ~ apart_point_and_line(intersection_point(X,Y),X) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ci3)).
% 77.87/15.47  fof(f8_nnf, plain, ! [X,Y] : ((~(convergent_lines(X,Y)) | ~(apart_point_and_line(intersection_point(X,Y),X)))), inference(nnf_transformation, [status(thm)], [f8])).
% 77.87/15.47  fof(f8_sk, plain, ! [X,Y] : ((~(convergent_lines(X,Y)) | ~(apart_point_and_line(intersection_point(X,Y),X)))), inference(skolemisation, [status(esa)], [f8_nnf])).
% 77.87/15.47  cnf(c8, plain, ~convergent_lines(X0,X1) | ~apart_point_and_line(intersection_point(X0,X1),X0), inference(cnf_transformation, [status(esa)], [f8_sk])).
% 77.87/15.47  cnf(p21, plain, ~apart_point_and_line(intersection_point(sk0,sk1),sk0), inference(resolution, [status(thm)], [c8, c14])).
% 77.87/15.47  cnf(p326, plain, ($false | ~spl17), inference(resolution, [status(thm)], [p268, p21])).
% 77.87/15.47  cnf(sct2, plain, (~spl17), inference(avatar_contradiction_clause, [status(thm)], [p326])).
% 77.87/15.47  fof(sdef30, definition, (spl30 <=> (distinct_lines(sk2,sk2))), introduced(definition, [new_symbols(naming, [spl30])], [avatar_definition])).
% 77.87/15.47  cnf(p330, plain, (distinct_lines(sk2,sk2) | ~spl30), inference(avatar_component_clause, [status(thm)], [sdef30])).
% 77.87/15.47  fof(f1, axiom, ! [X] : ~ distinct_lines(X,X), file('/export/starexec/sandbox/benchmark/theBenchmark.p', apart2)).
% 77.87/15.47  fof(f1_nnf, plain, ! [X] : (~(distinct_lines(X,X))), inference(nnf_transformation, [status(thm)], [f1])).
% 77.87/15.47  fof(f1_sk, plain, ! [X] : (~(distinct_lines(X,X))), inference(skolemisation, [status(esa)], [f1_nnf])).
% 77.87/15.47  cnf(c1, plain, ~distinct_lines(X0,X0), inference(cnf_transformation, [status(esa)], [f1_sk])).
% 77.87/15.47  cnf(p358, plain, ($false | ~spl30), inference(resolution, [status(thm)], [p330, c1])).
% 77.87/15.47  cnf(sct3, plain, (~spl30), inference(avatar_contradiction_clause, [status(thm)], [p358])).
% 77.87/15.47  fof(sdef44, definition, (spl44 <=> (convergent_lines(sk2,X0) | convergent_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl44])], [avatar_definition])).
% 77.87/15.47  cnf(p617, plain, (convergent_lines(sk2,X0) | convergent_lines(X0,sk2) | ~spl44), inference(avatar_component_clause, [status(thm)], [sdef44])).
% 77.87/15.47  cnf(p759, plain, (convergent_lines(sk2,sk2) | ~spl44), inference(factoring, [status(thm)], [p617])).
% 77.87/15.47  cnf(p776, plain, ($false | ~spl44), inference(resolution, [status(thm)], [p759, c2])).
% 77.87/15.47  cnf(sct4, plain, (~spl44), inference(avatar_contradiction_clause, [status(thm)], [p776])).
% 77.87/15.47  fof(sdef51, definition, (spl51 <=> (convergent_lines(sk2,X0) | convergent_lines(X0,X0))), introduced(definition, [new_symbols(naming, [spl51])], [avatar_definition])).
% 77.87/15.47  cnf(p696, plain, (convergent_lines(sk2,X0) | convergent_lines(X0,X0) | ~spl51), inference(avatar_component_clause, [status(thm)], [sdef51])).
% 77.87/15.47  cnf(p782, plain, (convergent_lines(sk2,X0) | ~spl51), inference(resolution, [status(thm)], [p696, c2])).
% 77.87/15.47  cnf(p783, plain, ($false | ~spl51), inference(resolution, [status(thm)], [p782, c2])).
% 77.87/15.47  cnf(sct5, plain, (~spl51), inference(avatar_contradiction_clause, [status(thm)], [p783])).
% 77.87/15.47  fof(sdef75, definition, (spl75 <=> (convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl75])], [avatar_definition])).
% 77.87/15.47  cnf(p1107, plain, (convergent_lines(sk0,X0) | ~spl75), inference(avatar_component_clause, [status(thm)], [sdef75])).
% 77.87/15.47  cnf(p1111, plain, ($false | ~spl75), inference(resolution, [status(thm)], [p1107, c2])).
% 77.87/15.47  cnf(sct6, plain, (~spl75), inference(avatar_contradiction_clause, [status(thm)], [p1111])).
% 77.87/15.47  fof(sdef77, definition, (spl77 <=> (convergent_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl77])], [avatar_definition])).
% 77.87/15.47  cnf(p1116, plain, (convergent_lines(sk1,X0) | ~spl77), inference(avatar_component_clause, [status(thm)], [sdef77])).
% 77.87/15.47  cnf(p1118, plain, ($false | ~spl77), inference(resolution, [status(thm)], [p1116, c2])).
% 77.87/15.47  cnf(sct7, plain, (~spl77), inference(avatar_contradiction_clause, [status(thm)], [p1118])).
% 77.87/15.47  fof(sdef81, definition, (spl81 <=> (convergent_lines(sk3,sk3))), introduced(definition, [new_symbols(naming, [spl81])], [avatar_definition])).
% 77.87/15.47  cnf(p1137, plain, (convergent_lines(sk3,sk3) | ~spl81), inference(avatar_component_clause, [status(thm)], [sdef81])).
% 77.87/15.47  cnf(p1139, plain, ($false | ~spl81), inference(resolution, [status(thm)], [p1137, c2])).
% 77.87/15.47  cnf(sct8, plain, (~spl81), inference(avatar_contradiction_clause, [status(thm)], [p1139])).
% 77.87/15.47  fof(sdef85, definition, (spl85 <=> (distinct_lines(sk3,sk3))), introduced(definition, [new_symbols(naming, [spl85])], [avatar_definition])).
% 77.87/15.47  cnf(p1151, plain, (distinct_lines(sk3,sk3) | ~spl85), inference(avatar_component_clause, [status(thm)], [sdef85])).
% 77.87/15.47  cnf(p1159, plain, ($false | ~spl85), inference(resolution, [status(thm)], [p1151, c1])).
% 77.87/15.47  cnf(sct9, plain, (~spl85), inference(avatar_contradiction_clause, [status(thm)], [p1159])).
% 77.87/15.47  fof(sdef96, definition, (spl96 <=> (apart_point_and_line(intersection_point(sk2,sk3),sk1))), introduced(definition, [new_symbols(naming, [spl96])], [avatar_definition])).
% 77.87/15.47  cnf(p1401, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | ~spl96), inference(avatar_component_clause, [status(thm)], [sdef96])).
% 77.87/15.47  cnf(c18, plain, ~apart_point_and_line(intersection_point(sk2,sk3),sk1), inference(cnf_transformation, [status(esa)], [f14_sk])).
% 77.87/15.47  cnf(p1478, plain, ($false | ~spl96), inference(resolution, [status(thm)], [p1401, c18])).
% 77.87/15.47  cnf(sct10, plain, (~spl96), inference(avatar_contradiction_clause, [status(thm)], [p1478])).
% 77.87/15.47  fof(sdef97, definition, (spl97 <=> (apart_point_and_line(intersection_point(sk2,sk3),sk0))), introduced(definition, [new_symbols(naming, [spl97])], [avatar_definition])).
% 77.87/15.47  cnf(p1402, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk0) | ~spl97), inference(avatar_component_clause, [status(thm)], [sdef97])).
% 77.87/15.47  cnf(c17, plain, ~apart_point_and_line(intersection_point(sk2,sk3),sk0), inference(cnf_transformation, [status(esa)], [f14_sk])).
% 77.87/15.47  cnf(p1485, plain, ($false | ~spl97), inference(resolution, [status(thm)], [p1402, c17])).
% 77.87/15.47  cnf(sct11, plain, (~spl97), inference(avatar_contradiction_clause, [status(thm)], [p1485])).
% 77.87/15.47  fof(sdef98, definition, (spl98 <=> (apart_point_and_line(intersection_point(sk1,sk2),sk1))), introduced(definition, [new_symbols(naming, [spl98])], [avatar_definition])).
% 77.87/15.47  cnf(p1404, plain, (apart_point_and_line(intersection_point(sk1,sk2),sk1) | ~spl98), inference(avatar_component_clause, [status(thm)], [sdef98])).
% 77.87/15.47  fof(sdef13, definition, (spl13 <=> (convergent_lines(sk1,sk2))), introduced(definition, [new_symbols(naming, [spl13])], [avatar_definition])).
% 77.87/15.47  cnf(p241, plain, (convergent_lines(sk1,sk2) | ~spl13), inference(avatar_component_clause, [status(thm)], [sdef13])).
% 77.87/15.47  cnf(p253, plain, (~apart_point_and_line(intersection_point(sk1,sk2),sk1) | ~spl13), inference(resolution, [status(thm)], [p241, c8])).
% 77.87/15.47  cnf(p1497, plain, ($false | ~spl13 | ~spl98), inference(resolution, [status(thm)], [p1404, p253])).
% 77.87/15.47  cnf(sct12, plain, (~spl13 | ~spl98), inference(avatar_contradiction_clause, [status(thm)], [p1497])).
% 77.87/15.47  fof(sdef10, definition, (spl10 <=> (convergent_lines(sk1,X0) | convergent_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl10])], [avatar_definition])).
% 77.87/15.47  cnf(p234, plain, (convergent_lines(sk1,X0) | convergent_lines(sk2,X0) | ~spl10), inference(avatar_component_clause, [status(thm)], [sdef10])).
% 77.87/15.47  cnf(p377, plain, (convergent_lines(sk1,sk2) | ~spl10), inference(resolution, [status(thm)], [p234, c2])).
% 77.87/15.47  cnf(p382, plain, (~apart_point_and_line(intersection_point(sk1,sk2),sk1) | ~spl10), inference(resolution, [status(thm)], [p377, c8])).
% 77.87/15.47  cnf(p1498, plain, ($false | ~spl10 | ~spl98), inference(resolution, [status(thm)], [p1404, p382])).
% 77.87/15.47  cnf(sct13, plain, (~spl10 | ~spl98), inference(avatar_contradiction_clause, [status(thm)], [p1498])).
% 77.87/15.47  fof(sdef67, definition, (spl67 <=> (convergent_lines(X0,sk1) | convergent_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl67])], [avatar_definition])).
% 77.87/15.47  cnf(p924, plain, (convergent_lines(X0,sk1) | convergent_lines(X0,sk2) | ~spl67), inference(avatar_component_clause, [status(thm)], [sdef67])).
% 77.87/15.47  cnf(p926, plain, (convergent_lines(sk2,sk1) | ~spl67), inference(resolution, [status(thm)], [p924, c2])).
% 77.87/15.47  fof(f5, axiom, ! [X,Y,Z] : ( convergent_lines(X,Y) => ( convergent_lines(X,Z) | convergent_lines(Y,Z) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax6)).
% 77.87/15.47  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])).
% 77.87/15.47  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])).
% 77.87/15.47  cnf(c5, plain, ~convergent_lines(X0,X1) | convergent_lines(X0,X2) | convergent_lines(X1,X2), inference(cnf_transformation, [status(esa)], [f5_sk])).
% 77.87/15.47  cnf(p933, plain, (convergent_lines(sk2,X0) | convergent_lines(sk1,X0) | ~spl67), inference(resolution, [status(thm)], [p926, c5])).
% 77.87/15.47  cnf(p940, plain, (convergent_lines(sk1,sk2) | ~spl67), inference(resolution, [status(thm)], [p933, c2])).
% 77.87/15.47  cnf(p945, plain, (~apart_point_and_line(intersection_point(sk1,sk2),sk1) | ~spl67), inference(resolution, [status(thm)], [p940, c8])).
% 77.87/15.47  cnf(p1500, plain, ($false | ~spl67 | ~spl98), inference(resolution, [status(thm)], [p1404, p945])).
% 77.87/15.47  cnf(sct14, plain, (~spl67 | ~spl98), inference(avatar_contradiction_clause, [status(thm)], [p1500])).
% 77.87/15.47  fof(sdef102, definition, (spl102 <=> (apart_point_and_line(intersection_point(sk2,sk1),sk1))), introduced(definition, [new_symbols(naming, [spl102])], [avatar_definition])).
% 77.87/15.47  cnf(p1411, plain, (apart_point_and_line(intersection_point(sk2,sk1),sk1) | ~spl102), inference(avatar_component_clause, [status(thm)], [sdef102])).
% 77.87/15.47  fof(sdef8, definition, (spl8 <=> (convergent_lines(sk2,sk1))), introduced(definition, [new_symbols(naming, [spl8])], [avatar_definition])).
% 77.87/15.47  cnf(p229, plain, (convergent_lines(sk2,sk1) | ~spl8), inference(avatar_component_clause, [status(thm)], [sdef8])).
% 77.87/15.47  cnf(p250, plain, (~apart_point_and_line(intersection_point(sk2,sk1),sk1) | ~spl8), inference(resolution, [status(thm)], [p229, c9])).
% 77.87/15.47  cnf(p1559, plain, ($false | ~spl8 | ~spl102), inference(resolution, [status(thm)], [p1411, p250])).
% 77.87/15.47  cnf(sct15, plain, (~spl8 | ~spl102), inference(avatar_contradiction_clause, [status(thm)], [p1559])).
% 77.87/15.47  fof(sdef126, definition, (spl126 <=> (convergent_lines(sk1,sk1))), introduced(definition, [new_symbols(naming, [spl126])], [avatar_definition])).
% 77.87/15.47  cnf(p1567, plain, (convergent_lines(sk1,sk1) | ~spl126), inference(avatar_component_clause, [status(thm)], [sdef126])).
% 77.87/15.47  cnf(p1607, plain, ($false | ~spl126), inference(resolution, [status(thm)], [p1567, c2])).
% 77.87/15.47  cnf(sct16, plain, (~spl126), inference(avatar_contradiction_clause, [status(thm)], [p1607])).
% 77.87/15.47  fof(sdef105, definition, (spl105 <=> (apart_point_and_line(intersection_point(sk0,sk2),sk0))), introduced(definition, [new_symbols(naming, [spl105])], [avatar_definition])).
% 77.87/15.47  cnf(p1415, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | ~spl105), inference(avatar_component_clause, [status(thm)], [sdef105])).
% 77.87/15.47  fof(sdef3, definition, (spl3 <=> (convergent_lines(sk0,sk2))), introduced(definition, [new_symbols(naming, [spl3])], [avatar_definition])).
% 77.87/15.47  cnf(p218, plain, (convergent_lines(sk0,sk2) | ~spl3), inference(avatar_component_clause, [status(thm)], [sdef3])).
% 77.87/15.47  cnf(p244, plain, (~apart_point_and_line(intersection_point(sk0,sk2),sk0) | ~spl3), inference(resolution, [status(thm)], [p218, c8])).
% 77.87/15.47  cnf(p1633, plain, ($false | ~spl3 | ~spl105), inference(resolution, [status(thm)], [p1415, p244])).
% 77.87/15.47  cnf(sct17, plain, (~spl3 | ~spl105), inference(avatar_contradiction_clause, [status(thm)], [p1633])).
% 77.87/15.47  fof(sdef127, definition, (spl127 <=> (convergent_lines(sk0,sk0))), introduced(definition, [new_symbols(naming, [spl127])], [avatar_definition])).
% 77.87/15.47  cnf(p1630, plain, (convergent_lines(sk0,sk0) | ~spl127), inference(avatar_component_clause, [status(thm)], [sdef127])).
% 77.87/15.47  cnf(p1634, plain, ($false | ~spl127), inference(resolution, [status(thm)], [p1630, c2])).
% 77.87/15.47  cnf(sct18, plain, (~spl127), inference(avatar_contradiction_clause, [status(thm)], [p1634])).
% 77.87/15.47  cnf(p932, plain, (~apart_point_and_line(intersection_point(sk2,sk1),sk1) | ~spl67), inference(resolution, [status(thm)], [p926, c9])).
% 77.87/15.47  cnf(p1651, plain, ($false | ~spl67 | ~spl102), inference(resolution, [status(thm)], [p932, p1411])).
% 77.87/15.47  cnf(sct19, plain, (~spl67 | ~spl102), inference(avatar_contradiction_clause, [status(thm)], [p1651])).
% 77.87/15.47  fof(sdef11, definition, (spl11 <=> (convergent_lines(sk0,X0) | convergent_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl11])], [avatar_definition])).
% 77.87/15.47  cnf(p237, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | ~spl11), inference(avatar_component_clause, [status(thm)], [sdef11])).
% 77.87/15.47  cnf(p401, plain, (convergent_lines(sk0,sk2) | ~spl11), inference(resolution, [status(thm)], [p237, c2])).
% 77.87/15.47  cnf(p410, plain, (~apart_point_and_line(intersection_point(sk0,sk2),sk0) | ~spl11), inference(resolution, [status(thm)], [p401, c8])).
% 77.87/15.47  cnf(p1652, plain, ($false | ~spl11 | ~spl105), inference(resolution, [status(thm)], [p1415, p410])).
% 77.87/15.47  cnf(sct20, plain, (~spl11 | ~spl105), inference(avatar_contradiction_clause, [status(thm)], [p1652])).
% 77.87/15.47  fof(sdef114, definition, (spl114 <=> (apart_point_and_line(intersection_point(sk2,sk0),sk0))), introduced(definition, [new_symbols(naming, [spl114])], [avatar_definition])).
% 77.87/15.47  cnf(p1444, plain, (apart_point_and_line(intersection_point(sk2,sk0),sk0) | ~spl114), inference(avatar_component_clause, [status(thm)], [sdef114])).
% 77.87/15.47  fof(sdef14, definition, (spl14 <=> (convergent_lines(sk2,sk0))), introduced(definition, [new_symbols(naming, [spl14])], [avatar_definition])).
% 77.87/15.47  cnf(p243, plain, (convergent_lines(sk2,sk0) | ~spl14), inference(avatar_component_clause, [status(thm)], [sdef14])).
% 77.87/15.47  cnf(p260, plain, (~apart_point_and_line(intersection_point(sk2,sk0),sk0) | ~spl14), inference(resolution, [status(thm)], [p243, c9])).
% 77.87/15.47  cnf(p1662, plain, ($false | ~spl14 | ~spl114), inference(resolution, [status(thm)], [p1444, p260])).
% 77.87/15.47  cnf(sct21, plain, (~spl14 | ~spl114), inference(avatar_contradiction_clause, [status(thm)], [p1662])).
% 77.87/15.47  cnf(p246, plain, (convergent_lines(sk0,X0) | convergent_lines(sk2,X0) | ~spl3), inference(resolution, [status(thm)], [p218, c5])).
% 77.87/15.47  cnf(p429, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk2,X0),X0) | ~spl3), inference(resolution, [status(thm)], [p246, c9])).
% 77.87/15.47  cnf(p1665, plain, (convergent_lines(sk0,sk0) | ~spl3 | ~spl114), inference(resolution, [status(thm)], [p1444, p429])).
% 77.87/15.47  cnf(p1680, plain, ($false | ~spl3 | ~spl114), inference(resolution, [status(thm)], [p1665, c2])).
% 77.87/15.47  cnf(sct22, plain, (~spl3 | ~spl114), inference(avatar_contradiction_clause, [status(thm)], [p1680])).
% 77.87/15.47  cnf(p412, plain, (convergent_lines(sk0,X0) | convergent_lines(sk2,X0) | ~spl11), inference(resolution, [status(thm)], [p401, c5])).
% 77.87/15.47  cnf(p606, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk2,X0),X0) | ~spl11), inference(resolution, [status(thm)], [p412, c9])).
% 77.87/15.47  cnf(p1667, plain, (convergent_lines(sk0,sk0) | ~spl11 | ~spl114), inference(resolution, [status(thm)], [p1444, p606])).
% 77.87/15.47  cnf(p1681, plain, ($false | ~spl11 | ~spl114), inference(resolution, [status(thm)], [p1667, c2])).
% 77.87/15.47  cnf(sct23, plain, (~spl11 | ~spl114), inference(avatar_contradiction_clause, [status(thm)], [p1681])).
% 77.87/15.47  fof(sdef146, definition, (spl146 <=> (distinct_lines(sk0,sk0))), introduced(definition, [new_symbols(naming, [spl146])], [avatar_definition])).
% 77.87/15.47  cnf(p1989, plain, (distinct_lines(sk0,sk0) | ~spl146), inference(avatar_component_clause, [status(thm)], [sdef146])).
% 77.87/15.47  cnf(p2225, plain, ($false | ~spl146), inference(resolution, [status(thm)], [p1989, c1])).
% 77.87/15.47  cnf(sct24, plain, (~spl146), inference(avatar_contradiction_clause, [status(thm)], [p2225])).
% 77.87/15.47  fof(sdef145, definition, (spl145 <=> (apart_point_and_line(intersection_point(sk2,sk3),sk2))), introduced(definition, [new_symbols(naming, [spl145])], [avatar_definition])).
% 77.87/15.47  cnf(p1988, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | ~spl145), inference(avatar_component_clause, [status(thm)], [sdef145])).
% 77.87/15.47  cnf(c15, plain, convergent_lines(sk2,sk3), inference(cnf_transformation, [status(esa)], [f14_sk])).
% 77.87/15.47  cnf(p22, plain, ~apart_point_and_line(intersection_point(sk2,sk3),sk2), inference(resolution, [status(thm)], [c8, c15])).
% 77.87/15.47  cnf(p2227, plain, ($false | ~spl145), inference(resolution, [status(thm)], [p1988, p22])).
% 77.87/15.47  cnf(sct25, plain, (~spl145), inference(avatar_contradiction_clause, [status(thm)], [p2227])).
% 77.87/15.47  fof(sdef161, definition, (spl161 <=> (apart_point_and_line(intersection_point(sk1,sk0),sk1))), introduced(definition, [new_symbols(naming, [spl161])], [avatar_definition])).
% 77.87/15.47  cnf(p2038, plain, (apart_point_and_line(intersection_point(sk1,sk0),sk1) | ~spl161), inference(avatar_component_clause, [status(thm)], [sdef161])).
% 77.87/15.47  cnf(p25, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X0), inference(resolution, [status(thm)], [c5, c14])).
% 77.87/15.47  cnf(p29, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p25, c5])).
% 77.87/15.47  cnf(p33, plain, convergent_lines(sk0,X0) | convergent_lines(X0,sk1), inference(resolution, [status(thm)], [p29, c2])).
% 77.87/15.47  cnf(p47, plain, convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p33, c5])).
% 77.87/15.47  cnf(p125, plain, convergent_lines(X0,sk1) | convergent_lines(X0,sk0), inference(resolution, [status(thm)], [p47, c2])).
% 77.87/15.47  cnf(p137, plain, convergent_lines(sk1,sk0), inference(resolution, [status(thm)], [p125, c2])).
% 77.87/15.47  cnf(p142, plain, ~apart_point_and_line(intersection_point(sk1,sk0),sk1), inference(resolution, [status(thm)], [p137, c8])).
% 77.87/15.47  cnf(p2330, plain, ($false | ~spl161), inference(resolution, [status(thm)], [p2038, p142])).
% 77.87/15.47  cnf(sct26, plain, (~spl161), inference(avatar_contradiction_clause, [status(thm)], [p2330])).
% 77.87/15.47  fof(sdef163, definition, (spl163 <=> (apart_point_and_line(intersection_point(sk0,sk2),sk2))), introduced(definition, [new_symbols(naming, [spl163])], [avatar_definition])).
% 77.87/15.47  cnf(p2047, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | ~spl163), inference(avatar_component_clause, [status(thm)], [sdef163])).
% 77.87/15.47  cnf(p245, plain, (~apart_point_and_line(intersection_point(sk0,sk2),sk2) | ~spl3), inference(resolution, [status(thm)], [p218, c9])).
% 77.87/15.47  cnf(p2337, plain, ($false | ~spl3 | ~spl163), inference(resolution, [status(thm)], [p2047, p245])).
% 77.87/15.47  cnf(sct27, plain, (~spl3 | ~spl163), inference(avatar_contradiction_clause, [status(thm)], [p2337])).
% 77.87/15.47  cnf(p411, plain, (~apart_point_and_line(intersection_point(sk0,sk2),sk2) | ~spl11), inference(resolution, [status(thm)], [p401, c9])).
% 77.87/15.47  cnf(p2338, plain, ($false | ~spl11 | ~spl163), inference(resolution, [status(thm)], [p2047, p411])).
% 77.87/15.47  cnf(sct28, plain, (~spl11 | ~spl163), inference(avatar_contradiction_clause, [status(thm)], [p2338])).
% 77.87/15.47  fof(sdef165, definition, (spl165 <=> (apart_point_and_line(intersection_point(sk2,sk0),sk2))), introduced(definition, [new_symbols(naming, [spl165])], [avatar_definition])).
% 77.87/15.47  cnf(p2053, plain, (apart_point_and_line(intersection_point(sk2,sk0),sk2) | ~spl165), inference(avatar_component_clause, [status(thm)], [sdef165])).
% 77.87/15.47  cnf(p259, plain, (~apart_point_and_line(intersection_point(sk2,sk0),sk2) | ~spl14), inference(resolution, [status(thm)], [p243, c8])).
% 77.87/15.47  cnf(p2343, plain, ($false | ~spl14 | ~spl165), inference(resolution, [status(thm)], [p2053, p259])).
% 77.87/15.47  cnf(sct29, plain, (~spl14 | ~spl165), inference(avatar_contradiction_clause, [status(thm)], [p2343])).
% 77.87/15.47  cnf(p428, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk2,X0),sk2) | ~spl3), inference(resolution, [status(thm)], [p246, c8])).
% 77.87/15.47  cnf(p2346, plain, (convergent_lines(sk0,sk0) | ~spl3 | ~spl165), inference(resolution, [status(thm)], [p2053, p428])).
% 77.87/15.47  cnf(p2449, plain, ($false | ~spl3 | ~spl165), inference(resolution, [status(thm)], [p2346, c2])).
% 77.87/15.47  cnf(sct30, plain, (~spl3 | ~spl165), inference(avatar_contradiction_clause, [status(thm)], [p2449])).
% 77.87/15.47  cnf(p605, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk2,X0),sk2) | ~spl11), inference(resolution, [status(thm)], [p412, c8])).
% 77.87/15.47  cnf(p2348, plain, (convergent_lines(sk0,sk0) | ~spl11 | ~spl165), inference(resolution, [status(thm)], [p2053, p605])).
% 77.87/15.47  cnf(p2450, plain, ($false | ~spl11 | ~spl165), inference(resolution, [status(thm)], [p2348, c2])).
% 77.87/15.47  cnf(sct31, plain, (~spl11 | ~spl165), inference(avatar_contradiction_clause, [status(thm)], [p2450])).
% 77.87/15.47  fof(sdef169, definition, (spl169 <=> (apart_point_and_line(intersection_point(sk3,sk1),sk1))), introduced(definition, [new_symbols(naming, [spl169])], [avatar_definition])).
% 77.87/15.47  cnf(p2059, plain, (apart_point_and_line(intersection_point(sk3,sk1),sk1) | ~spl169), inference(avatar_component_clause, [status(thm)], [sdef169])).
% 77.87/15.47  fof(sdef23, definition, (spl23 <=> (convergent_lines(sk3,sk1))), introduced(definition, [new_symbols(naming, [spl23])], [avatar_definition])).
% 77.87/15.47  cnf(p293, plain, (convergent_lines(sk3,sk1) | ~spl23), inference(avatar_component_clause, [status(thm)], [sdef23])).
% 77.87/15.47  cnf(p312, plain, (~apart_point_and_line(intersection_point(sk3,sk1),sk1) | ~spl23), inference(resolution, [status(thm)], [p293, c9])).
% 77.87/15.47  cnf(p2467, plain, ($false | ~spl23 | ~spl169), inference(resolution, [status(thm)], [p2059, p312])).
% 77.87/15.47  cnf(sct32, plain, (~spl23 | ~spl169), inference(avatar_contradiction_clause, [status(thm)], [p2467])).
% 77.87/15.47  fof(sdef171, definition, (spl171 <=> (apart_point_and_line(intersection_point(sk1,sk3),sk1))), introduced(definition, [new_symbols(naming, [spl171])], [avatar_definition])).
% 77.87/15.47  cnf(p2062, plain, (apart_point_and_line(intersection_point(sk1,sk3),sk1) | ~spl171), inference(avatar_component_clause, [status(thm)], [sdef171])).
% 77.87/15.47  fof(sdef28, definition, (spl28 <=> (convergent_lines(sk1,sk3))), introduced(definition, [new_symbols(naming, [spl28])], [avatar_definition])).
% 77.87/15.47  cnf(p303, plain, (convergent_lines(sk1,sk3) | ~spl28), inference(avatar_component_clause, [status(thm)], [sdef28])).
% 77.87/15.47  cnf(p315, plain, (~apart_point_and_line(intersection_point(sk1,sk3),sk1) | ~spl28), inference(resolution, [status(thm)], [p303, c8])).
% 77.87/15.47  cnf(p2476, plain, ($false | ~spl28 | ~spl171), inference(resolution, [status(thm)], [p2062, p315])).
% 77.87/15.47  cnf(sct33, plain, (~spl28 | ~spl171), inference(avatar_contradiction_clause, [status(thm)], [p2476])).
% 77.87/15.47  fof(sdef178, definition, (spl178 <=> (apart_point_and_line(intersection_point(sk3,sk2),sk2))), introduced(definition, [new_symbols(naming, [spl178])], [avatar_definition])).
% 77.87/15.47  cnf(p2093, plain, (apart_point_and_line(intersection_point(sk3,sk2),sk2) | ~spl178), inference(avatar_component_clause, [status(thm)], [sdef178])).
% 77.87/15.47  cnf(p26, plain, convergent_lines(sk2,X0) | convergent_lines(sk3,X0), inference(resolution, [status(thm)], [c5, c15])).
% 77.87/15.47  cnf(p32, plain, convergent_lines(sk2,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p26, c5])).
% 77.87/15.47  cnf(p82, plain, convergent_lines(sk2,X0) | convergent_lines(X0,sk3), inference(resolution, [status(thm)], [p32, c2])).
% 77.87/15.47  cnf(p108, plain, convergent_lines(X0,sk3) | convergent_lines(sk2,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p82, c5])).
% 77.87/15.47  cnf(p828, plain, convergent_lines(X0,sk3) | convergent_lines(X0,sk2), inference(resolution, [status(thm)], [p108, c2])).
% 77.87/15.47  cnf(p840, plain, convergent_lines(sk3,sk2), inference(resolution, [status(thm)], [p828, c2])).
% 77.87/15.47  cnf(p845, plain, ~apart_point_and_line(intersection_point(sk3,sk2),sk2), inference(resolution, [status(thm)], [p840, c9])).
% 77.87/15.47  cnf(p2491, plain, ($false | ~spl178), inference(resolution, [status(thm)], [p2093, p845])).
% 77.87/15.47  cnf(sct34, plain, (~spl178), inference(avatar_contradiction_clause, [status(thm)], [p2491])).
% 77.87/15.47  fof(sdef143, definition, (spl143 <=> (apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1))), introduced(definition, [new_symbols(naming, [spl143])], [avatar_definition])).
% 77.87/15.47  cnf(p1984, plain, (apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | ~spl143), inference(avatar_component_clause, [status(thm)], [sdef143])).
% 77.87/15.47  cnf(p2492, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | ~spl143), inference(resolution, [status(thm)], [p1984, p22])).
% 77.87/15.47  cnf(p2574, plain, ($false | ~spl143), inference(resolution, [status(thm)], [p2492, c18])).
% 77.87/15.47  cnf(sct35, plain, (~spl143), inference(avatar_contradiction_clause, [status(thm)], [p2574])).
% 77.87/15.47  fof(sdef242, definition, (spl242 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl242])], [avatar_definition])).
% 77.87/15.47  cnf(p2459, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | ~spl242), inference(avatar_component_clause, [status(thm)], [sdef242])).
% 77.87/15.47  fof(f0, axiom, ! [X] : ~ distinct_points(X,X), file('/export/starexec/sandbox/benchmark/theBenchmark.p', apart1)).
% 77.87/15.47  fof(f0_nnf, plain, ! [X] : (~(distinct_points(X,X))), inference(nnf_transformation, [status(thm)], [f0])).
% 77.87/15.47  fof(f0_sk, plain, ! [X] : (~(distinct_points(X,X))), inference(skolemisation, [status(esa)], [f0_nnf])).
% 77.87/15.47  cnf(c0, plain, ~distinct_points(X0,X0), inference(cnf_transformation, [status(esa)], [f0_sk])).
% 77.87/15.47  cnf(p2823, plain, ($false | ~spl242), inference(resolution, [status(thm)], [p2459, c0])).
% 77.87/15.47  cnf(sct36, plain, (~spl242), inference(avatar_contradiction_clause, [status(thm)], [p2823])).
% 77.87/15.47  fof(sdef144, definition, (spl144 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl144])], [avatar_definition])).
% 77.87/15.47  cnf(p1986, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | distinct_lines(sk0,X0) | ~spl144), inference(avatar_component_clause, [status(thm)], [sdef144])).
% 77.87/15.47  cnf(p3354, plain, (distinct_lines(sk0,sk0) | ~spl144), inference(resolution, [status(thm)], [p1986, p21])).
% 77.87/15.47  cnf(p3360, plain, ($false | ~spl144), inference(resolution, [status(thm)], [p3354, c1])).
% 77.87/15.47  cnf(sct37, plain, (~spl144), inference(avatar_contradiction_clause, [status(thm)], [p3360])).
% 77.87/15.47  cnf(p379, plain, (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(sk2,X0),X0) | ~spl10), inference(resolution, [status(thm)], [p234, c9])).
% 77.87/15.47  cnf(p3420, plain, (convergent_lines(sk1,sk1) | ~spl10 | ~spl102), inference(resolution, [status(thm)], [p379, p1411])).
% 77.87/15.47  cnf(p3422, plain, ($false | ~spl10 | ~spl102), inference(resolution, [status(thm)], [p3420, c2])).
% 77.87/15.47  cnf(sct38, plain, (~spl10 | ~spl102), inference(avatar_contradiction_clause, [status(thm)], [p3422])).
% 77.87/15.47  fof(sdef245, definition, (spl245 <=> (apart_point_and_line(intersection_point(sk2,X0),sk1) | convergent_lines(sk3,X0))), introduced(definition, [new_symbols(naming, [spl245])], [avatar_definition])).
% 77.87/15.47  cnf(p2515, plain, (apart_point_and_line(intersection_point(sk2,X0),sk1) | convergent_lines(sk3,X0) | ~spl245), inference(avatar_component_clause, [status(thm)], [sdef245])).
% 77.87/15.47  cnf(p4068, plain, (convergent_lines(sk3,sk3) | ~spl245), inference(resolution, [status(thm)], [p2515, c18])).
% 77.87/15.47  cnf(p4084, plain, ($false | ~spl245), inference(resolution, [status(thm)], [p4068, c2])).
% 77.87/15.47  cnf(sct39, plain, (~spl245), inference(avatar_contradiction_clause, [status(thm)], [p4084])).
% 77.87/15.47  fof(sdef247, definition, (spl247 <=> (apart_point_and_line(intersection_point(X0,sk2),sk1) | convergent_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl247])], [avatar_definition])).
% 77.87/15.47  cnf(p2533, plain, (apart_point_and_line(intersection_point(X0,sk2),sk1) | convergent_lines(X0,sk1) | ~spl247), inference(avatar_component_clause, [status(thm)], [sdef247])).
% 77.87/15.47  cnf(p4142, plain, (convergent_lines(sk1,sk1) | ~spl13 | ~spl247), inference(resolution, [status(thm)], [p2533, p253])).
% 77.87/15.47  cnf(p4153, plain, ($false | ~spl13 | ~spl247), inference(resolution, [status(thm)], [p4142, c2])).
% 77.87/15.47  cnf(sct40, plain, (~spl13 | ~spl247), inference(avatar_contradiction_clause, [status(thm)], [p4153])).
% 77.87/15.47  fof(sdef203, definition, (spl203 <=> (convergent_lines(sk1,X0) | convergent_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl203])], [avatar_definition])).
% 77.87/15.47  cnf(p2207, plain, (convergent_lines(sk1,X0) | convergent_lines(X0,sk2) | ~spl203), inference(avatar_component_clause, [status(thm)], [sdef203])).
% 77.87/15.47  cnf(p2575, plain, (convergent_lines(sk1,sk2) | ~spl203), inference(resolution, [status(thm)], [p2207, c2])).
% 77.87/15.47  cnf(p2584, plain, (~apart_point_and_line(intersection_point(sk1,sk2),sk1) | ~spl203), inference(resolution, [status(thm)], [p2575, c8])).
% 77.87/15.47  cnf(p4149, plain, (convergent_lines(sk1,sk1) | ~spl203 | ~spl247), inference(resolution, [status(thm)], [p2533, p2584])).
% 77.87/15.47  cnf(p4162, plain, ($false | ~spl203 | ~spl247), inference(resolution, [status(thm)], [p4149, c2])).
% 77.87/15.48  cnf(sct41, plain, (~spl203 | ~spl247), inference(avatar_contradiction_clause, [status(thm)], [p4162])).
% 77.87/15.48  fof(sdef254, definition, (spl254 <=> (apart_point_and_line(intersection_point(X0,sk2),sk1) | convergent_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl254])], [avatar_definition])).
% 77.87/15.48  cnf(p2564, plain, (apart_point_and_line(intersection_point(X0,sk2),sk1) | convergent_lines(sk1,X0) | ~spl254), inference(avatar_component_clause, [status(thm)], [sdef254])).
% 77.87/15.48  cnf(p7244, plain, (convergent_lines(sk1,sk1) | ~spl13 | ~spl254), inference(resolution, [status(thm)], [p253, p2564])).
% 77.87/15.48  cnf(p7246, plain, ($false | ~spl13 | ~spl254), inference(resolution, [status(thm)], [p7244, c2])).
% 77.87/15.48  cnf(sct42, plain, (~spl13 | ~spl254), inference(avatar_contradiction_clause, [status(thm)], [p7246])).
% 77.87/15.48  fof(sdef86, definition, (spl86 <=> (convergent_lines(sk1,X0) | convergent_lines(X1,X0) | convergent_lines(X1,sk2))), introduced(definition, [new_symbols(naming, [spl86])], [avatar_definition])).
% 77.87/15.48  cnf(p1155, plain, (convergent_lines(sk1,X0) | convergent_lines(X1,X0) | convergent_lines(X1,sk2) | ~spl86), inference(avatar_component_clause, [status(thm)], [sdef86])).
% 77.87/15.48  cnf(p7218, plain, (convergent_lines(X0,sk1) | convergent_lines(X0,sk2) | ~spl86), inference(resolution, [status(thm)], [p1155, c2])).
% 77.87/15.48  cnf(p7279, plain, (convergent_lines(sk2,sk1) | ~spl86), inference(resolution, [status(thm)], [p7218, c2])).
% 77.87/15.48  cnf(p7301, plain, (~apart_point_and_line(intersection_point(sk2,sk1),sk1) | ~spl86), inference(resolution, [status(thm)], [p7279, c9])).
% 77.87/15.48  cnf(p7309, plain, ($false | ~spl86 | ~spl102), inference(resolution, [status(thm)], [p7301, p1411])).
% 77.87/15.48  cnf(sct43, plain, (~spl86 | ~spl102), inference(avatar_contradiction_clause, [status(thm)], [p7309])).
% 77.87/15.48  cnf(p2586, plain, (convergent_lines(sk1,X0) | convergent_lines(sk2,X0) | ~spl203), inference(resolution, [status(thm)], [p2575, c5])).
% 77.87/15.48  cnf(p2831, plain, (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(sk2,X0),X0) | ~spl203), inference(resolution, [status(thm)], [p2586, c9])).
% 77.87/15.48  cnf(p7351, plain, (convergent_lines(sk1,sk1) | ~spl102 | ~spl203), inference(resolution, [status(thm)], [p2831, p1411])).
% 77.87/15.48  cnf(p7371, plain, ($false | ~spl102 | ~spl203), inference(resolution, [status(thm)], [p7351, c2])).
% 77.87/15.48  cnf(sct44, plain, (~spl102 | ~spl203), inference(avatar_contradiction_clause, [status(thm)], [p7371])).
% 77.87/15.48  cnf(c16, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3), inference(cnf_transformation, [status(esa)], [f14_sk])).
% 77.87/15.48  fof(sdef0, definition, (spl0 <=> (apart_point_and_line(intersection_point(sk0,sk1),sk2))), introduced(definition, [new_symbols(naming, [spl0])], [avatar_definition])).
% 77.87/15.48  fof(sdef1, definition, (spl1 <=> (apart_point_and_line(intersection_point(sk0,sk1),sk3))), introduced(definition, [new_symbols(naming, [spl1])], [avatar_definition])).
% 77.87/15.48  cnf(ssp0, plain, (spl0 | spl1), inference(avatar_split_clause, [status(thm)], [c16, sdef0, sdef1])).
% 77.87/15.48  fof(f11, axiom, ! [X,Y,Z] : ( apart_point_and_line(X,Y) => ( distinct_points(X,Z) | apart_point_and_line(Z,Y) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ceq1)).
% 77.87/15.48  fof(f11_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)], [f11])).
% 77.87/15.48  fof(f11_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)], [f11_nnf])).
% 77.87/15.48  cnf(c11, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,X2) | apart_point_and_line(X2,X1), inference(cnf_transformation, [status(esa)], [f11_sk])).
% 77.87/15.48  cnf(p17, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | ~spl0), inference(avatar_component_clause, [status(thm)], [sdef0])).
% 77.87/15.48  cnf(p48, plain, (distinct_points(intersection_point(sk0,sk1),X0) | apart_point_and_line(X0,sk2) | ~spl0), inference(resolution, [status(thm)], [c11, p17])).
% 77.87/15.48  fof(f3, axiom, ! [X,Y,Z] : ( distinct_points(X,Y) => ( distinct_points(X,Z) | distinct_points(Y,Z) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', apart4)).
% 77.87/15.48  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])).
% 77.87/15.48  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])).
% 77.87/15.48  cnf(c3, plain, ~distinct_points(X0,X1) | distinct_points(X0,X2) | distinct_points(X1,X2), inference(cnf_transformation, [status(esa)], [f3_sk])).
% 77.87/15.48  cnf(p52, plain, (apart_point_and_line(X0,sk2) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p48, c3])).
% 77.87/15.48  cnf(p28, plain, convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk1,X0),X0), inference(resolution, [status(thm)], [p25, c9])).
% 77.87/15.48  cnf(p216, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk2),X0) | convergent_lines(sk0,sk2) | ~spl0), inference(resolution, [status(thm)], [p52, p28])).
% 77.87/15.48  fof(sdef2, definition, (spl2 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk2),X0))), introduced(definition, [new_symbols(naming, [spl2])], [avatar_definition])).
% 77.87/15.48  cnf(ssp1, plain, (~spl0 | spl2 | spl3), inference(avatar_split_clause, [status(thm)], [p216, sdef2, sdef3])).
% 77.87/15.48  cnf(p31, plain, convergent_lines(sk2,X0) | ~apart_point_and_line(intersection_point(sk3,X0),X0), inference(resolution, [status(thm)], [p26, c9])).
% 77.87/15.48  cnf(p221, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | convergent_lines(sk2,sk2) | ~spl0), inference(resolution, [status(thm)], [p52, p31])).
% 77.87/15.48  fof(sdef4, definition, (spl4 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0))), introduced(definition, [new_symbols(naming, [spl4])], [avatar_definition])).
% 77.87/15.48  cnf(ssp2, plain, (~spl0 | spl4 | spl5), inference(avatar_split_clause, [status(thm)], [p221, sdef4, sdef5])).
% 77.87/15.48  cnf(p44, plain, convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(X0,sk1),X0), inference(resolution, [status(thm)], [p33, c8])).
% 77.87/15.48  cnf(p225, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk2,sk1),X0) | convergent_lines(sk0,sk2) | ~spl0), inference(resolution, [status(thm)], [p52, p44])).
% 77.87/15.48  fof(sdef6, definition, (spl6 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk2,sk1),X0))), introduced(definition, [new_symbols(naming, [spl6])], [avatar_definition])).
% 77.87/15.48  cnf(ssp3, plain, (~spl0 | spl3 | spl6), inference(avatar_split_clause, [status(thm)], [p225, sdef3, sdef6])).
% 77.87/15.48  cnf(p45, plain, convergent_lines(X0,sk1) | ~apart_point_and_line(intersection_point(sk0,X0),X0), inference(resolution, [status(thm)], [p33, c9])).
% 77.87/15.48  cnf(p227, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk2),X0) | convergent_lines(sk2,sk1) | ~spl0), inference(resolution, [status(thm)], [p52, p45])).
% 77.87/15.48  fof(sdef7, definition, (spl7 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk2),X0))), introduced(definition, [new_symbols(naming, [spl7])], [avatar_definition])).
% 77.87/15.48  cnf(ssp4, plain, (~spl0 | spl7 | spl8), inference(avatar_split_clause, [status(thm)], [p227, sdef7, sdef8])).
% 77.87/15.48  cnf(p36, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | ~apart_point_and_line(intersection_point(X0,X1),X0), inference(resolution, [status(thm)], [p29, c8])).
% 77.87/15.48  cnf(p231, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk2,X1),X0) | convergent_lines(sk0,sk2) | convergent_lines(sk1,X1) | ~spl0), inference(resolution, [status(thm)], [p52, p36])).
% 77.87/15.48  fof(sdef9, definition, (spl9 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk2,X1),X0) | convergent_lines(sk1,X1))), introduced(definition, [new_symbols(naming, [spl9])], [avatar_definition])).
% 77.87/15.48  cnf(ssp5, plain, (~spl0 | spl3 | spl9), inference(avatar_split_clause, [status(thm)], [p231, sdef3, sdef9])).
% 77.87/15.48  cnf(p37, plain, convergent_lines(sk1,X0) | convergent_lines(X1,X0) | ~apart_point_and_line(intersection_point(sk0,X1),X1), inference(resolution, [status(thm)], [p29, c9])).
% 77.87/15.48  cnf(p233, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk2),X0) | convergent_lines(sk1,X1) | convergent_lines(sk2,X1) | ~spl0), inference(resolution, [status(thm)], [p52, p37])).
% 77.87/15.48  cnf(ssp6, plain, (~spl0 | spl7 | spl10), inference(avatar_split_clause, [status(thm)], [p233, sdef7, sdef10])).
% 77.87/15.48  cnf(p38, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | ~apart_point_and_line(intersection_point(sk1,X1),X1), inference(resolution, [status(thm)], [p29, c9])).
% 77.87/15.48  cnf(p236, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk2),X0) | convergent_lines(sk0,X1) | convergent_lines(X1,sk2) | ~spl0), inference(resolution, [status(thm)], [p52, p38])).
% 77.87/15.48  cnf(ssp7, plain, (~spl0 | spl2 | spl11), inference(avatar_split_clause, [status(thm)], [p236, sdef2, sdef11])).
% 77.87/15.48  cnf(p39, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | ~apart_point_and_line(intersection_point(X0,X1),X1), inference(resolution, [status(thm)], [p29, c9])).
% 77.87/15.48  cnf(p239, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(X1,sk2),X0) | convergent_lines(sk0,X1) | convergent_lines(sk1,sk2) | ~spl0), inference(resolution, [status(thm)], [p52, p39])).
% 77.87/15.48  fof(sdef12, definition, (spl12 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(X1,sk2),X0) | convergent_lines(sk0,X1))), introduced(definition, [new_symbols(naming, [spl12])], [avatar_definition])).
% 77.87/15.48  cnf(ssp8, plain, (~spl0 | spl12 | spl13), inference(avatar_split_clause, [status(thm)], [p239, sdef12, sdef13])).
% 77.87/15.48  cnf(p138, plain, convergent_lines(X0,sk0) | ~apart_point_and_line(intersection_point(X0,sk1),X0), inference(resolution, [status(thm)], [p125, c8])).
% 77.87/15.48  cnf(p242, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk2,sk1),X0) | convergent_lines(sk2,sk0) | ~spl0), inference(resolution, [status(thm)], [p52, p138])).
% 77.87/15.48  cnf(ssp9, plain, (~spl0 | spl6 | spl14), inference(avatar_split_clause, [status(thm)], [p242, sdef6, sdef14])).
% 77.87/15.48  fof(f10, 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/sandbox/benchmark/theBenchmark.p', cu1)).
% 77.87/15.48  fof(f10_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)], [f10])).
% 77.87/15.48  fof(f10_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)], [f10_nnf])).
% 77.87/15.48  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)], [f10_sk])).
% 77.87/15.48  cnf(p55, plain, (apart_point_and_line(X0,sk2) | ~distinct_lines(X1,X2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,X2) | ~spl0), inference(resolution, [status(thm)], [p48, c10])).
% 77.87/15.48  fof(f13, axiom, ! [X,Y,Z] : ( convergent_lines(X,Y) => ( distinct_lines(Y,Z) | convergent_lines(X,Z) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ceq3)).
% 77.87/15.48  fof(f13_nnf, plain, ! [X,Y,Z] : ((~(convergent_lines(X,Y)) | (distinct_lines(Y,Z) | convergent_lines(X,Z)))), inference(nnf_transformation, [status(thm)], [f13])).
% 77.87/15.48  fof(f13_sk, plain, ! [X,Y,Z] : ((~(convergent_lines(X,Y)) | (distinct_lines(Y,Z) | convergent_lines(X,Z)))), inference(skolemisation, [status(esa)], [f13_nnf])).
% 77.87/15.48  cnf(c13, plain, ~convergent_lines(X0,X1) | distinct_lines(X1,X2) | convergent_lines(X0,X2), inference(cnf_transformation, [status(esa)], [f13_sk])).
% 77.87/15.48  cnf(p65, plain, distinct_lines(sk1,X0) | convergent_lines(sk0,X0), inference(resolution, [status(thm)], [c13, c14])).
% 77.87/15.48  cnf(p77, plain, distinct_lines(sk1,sk0), inference(resolution, [status(thm)], [p65, c2])).
% 77.87/15.48  cnf(p265, plain, (apart_point_and_line(X0,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk0) | ~spl0), inference(resolution, [status(thm)], [p55, p77])).
% 77.87/15.48  fof(sdef15, definition, (spl15 <=> (apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk0))), introduced(definition, [new_symbols(naming, [spl15])], [avatar_definition])).
% 77.87/15.48  cnf(ssp10, plain, (~spl0 | spl15 | spl16 | spl17), inference(avatar_split_clause, [status(thm)], [p265, sdef15, sdef16, sdef17])).
% 77.87/15.48  fof(f4, axiom, ! [X,Y,Z] : ( distinct_lines(X,Y) => ( distinct_lines(X,Z) | distinct_lines(Y,Z) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', apart5)).
% 77.87/15.48  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])).
% 77.87/15.48  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])).
% 77.87/15.48  cnf(c4, plain, ~distinct_lines(X0,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(cnf_transformation, [status(esa)], [f4_sk])).
% 77.87/15.48  cnf(p95, plain, distinct_lines(sk1,X0) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p77, c4])).
% 77.87/15.48  cnf(p269, plain, (apart_point_and_line(X0,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X1) | ~spl0), inference(resolution, [status(thm)], [p55, p95])).
% 77.87/15.48  fof(sdef18, definition, (spl18 <=> (apart_point_and_line(X0,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X1))), introduced(definition, [new_symbols(naming, [spl18])], [avatar_definition])).
% 77.87/15.48  cnf(ssp11, plain, (~spl0 | spl16 | spl18), inference(avatar_split_clause, [status(thm)], [p269, sdef16, sdef18])).
% 77.87/15.48  cnf(p18, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk3) | ~spl1), inference(avatar_component_clause, [status(thm)], [sdef1])).
% 77.87/15.48  cnf(p49, plain, (distinct_points(intersection_point(sk0,sk1),X0) | apart_point_and_line(X0,sk3) | ~spl1), inference(resolution, [status(thm)], [c11, p18])).
% 77.87/15.48  cnf(p56, plain, (apart_point_and_line(X0,sk3) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p49, c3])).
% 77.87/15.48  cnf(p282, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk3),X0) | convergent_lines(sk0,sk3) | ~spl1), inference(resolution, [status(thm)], [p56, p28])).
% 77.87/15.48  fof(sdef19, definition, (spl19 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk3),X0))), introduced(definition, [new_symbols(naming, [spl19])], [avatar_definition])).
% 77.87/15.48  fof(sdef20, definition, (spl20 <=> (convergent_lines(sk0,sk3))), introduced(definition, [new_symbols(naming, [spl20])], [avatar_definition])).
% 77.87/15.48  cnf(ssp12, plain, (~spl1 | spl19 | spl20), inference(avatar_split_clause, [status(thm)], [p282, sdef19, sdef20])).
% 77.87/15.48  cnf(p289, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk1),X0) | convergent_lines(sk0,sk3) | ~spl1), inference(resolution, [status(thm)], [p56, p44])).
% 77.87/15.48  fof(sdef21, definition, (spl21 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk1),X0))), introduced(definition, [new_symbols(naming, [spl21])], [avatar_definition])).
% 77.87/15.48  cnf(ssp13, plain, (~spl1 | spl20 | spl21), inference(avatar_split_clause, [status(thm)], [p289, sdef20, sdef21])).
% 77.87/15.48  cnf(p291, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X0) | convergent_lines(sk3,sk1) | ~spl1), inference(resolution, [status(thm)], [p56, p45])).
% 77.87/15.48  fof(sdef22, definition, (spl22 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X0))), introduced(definition, [new_symbols(naming, [spl22])], [avatar_definition])).
% 77.87/15.48  cnf(ssp14, plain, (~spl1 | spl22 | spl23), inference(avatar_split_clause, [status(thm)], [p291, sdef22, sdef23])).
% 77.87/15.48  cnf(p295, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,X1),X0) | convergent_lines(sk0,sk3) | convergent_lines(sk1,X1) | ~spl1), inference(resolution, [status(thm)], [p56, p36])).
% 77.87/15.48  fof(sdef24, definition, (spl24 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,X1),X0) | convergent_lines(sk1,X1))), introduced(definition, [new_symbols(naming, [spl24])], [avatar_definition])).
% 77.87/15.48  cnf(ssp15, plain, (~spl1 | spl20 | spl24), inference(avatar_split_clause, [status(thm)], [p295, sdef20, sdef24])).
% 77.87/15.48  cnf(p297, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X0) | convergent_lines(sk1,X1) | convergent_lines(sk3,X1) | ~spl1), inference(resolution, [status(thm)], [p56, p37])).
% 77.87/15.48  fof(sdef25, definition, (spl25 <=> (convergent_lines(sk1,X0) | convergent_lines(sk3,X0))), introduced(definition, [new_symbols(naming, [spl25])], [avatar_definition])).
% 77.87/15.48  cnf(ssp16, plain, (~spl1 | spl22 | spl25), inference(avatar_split_clause, [status(thm)], [p297, sdef22, sdef25])).
% 77.87/15.48  cnf(p299, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk3),X0) | convergent_lines(sk0,X1) | convergent_lines(X1,sk3) | ~spl1), inference(resolution, [status(thm)], [p56, p38])).
% 77.87/15.48  fof(sdef26, definition, (spl26 <=> (convergent_lines(sk0,X0) | convergent_lines(X0,sk3))), introduced(definition, [new_symbols(naming, [spl26])], [avatar_definition])).
% 77.87/15.48  cnf(ssp17, plain, (~spl1 | spl19 | spl26), inference(avatar_split_clause, [status(thm)], [p299, sdef19, sdef26])).
% 77.87/15.48  cnf(p301, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(X1,sk3),X0) | convergent_lines(sk0,X1) | convergent_lines(sk1,sk3) | ~spl1), inference(resolution, [status(thm)], [p56, p39])).
% 77.87/15.48  fof(sdef27, definition, (spl27 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(X1,sk3),X0) | convergent_lines(sk0,X1))), introduced(definition, [new_symbols(naming, [spl27])], [avatar_definition])).
% 77.87/15.48  cnf(ssp18, plain, (~spl1 | spl27 | spl28), inference(avatar_split_clause, [status(thm)], [p301, sdef27, sdef28])).
% 77.87/15.48  cnf(p305, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk1),X0) | convergent_lines(sk3,sk0) | ~spl1), inference(resolution, [status(thm)], [p56, p138])).
% 77.87/15.48  fof(sdef29, definition, (spl29 <=> (convergent_lines(sk3,sk0))), introduced(definition, [new_symbols(naming, [spl29])], [avatar_definition])).
% 77.87/15.48  cnf(ssp19, plain, (~spl1 | spl21 | spl29), inference(avatar_split_clause, [status(thm)], [p305, sdef21, sdef29])).
% 77.87/15.48  fof(f12, axiom, ! [X,Y,Z] : ( apart_point_and_line(X,Y) => ( distinct_lines(Y,Z) | apart_point_and_line(X,Z) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ceq2)).
% 77.87/15.48  fof(f12_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)], [f12])).
% 77.87/15.48  fof(f12_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)], [f12_nnf])).
% 77.87/15.48  cnf(c12, plain, ~apart_point_and_line(X0,X1) | distinct_lines(X1,X2) | apart_point_and_line(X0,X2), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 77.87/15.48  cnf(p50, plain, (distinct_lines(sk2,X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | ~spl0), inference(resolution, [status(thm)], [c12, p17])).
% 77.87/15.48  cnf(p62, plain, (distinct_lines(sk2,X0) | distinct_points(intersection_point(sk0,sk1),X1) | apart_point_and_line(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p50, c11])).
% 77.87/15.48  cnf(p329, plain, (distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk3)) | ~spl0), inference(resolution, [status(thm)], [p62, p22])).
% 77.87/15.48  fof(sdef31, definition, (spl31 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk3)))), introduced(definition, [new_symbols(naming, [spl31])], [avatar_definition])).
% 77.87/15.48  cnf(ssp20, plain, (~spl0 | spl30 | spl31), inference(avatar_split_clause, [status(thm)], [p329, sdef30, sdef31])).
% 77.87/15.48  cnf(p66, plain, distinct_lines(sk3,X0) | convergent_lines(sk2,X0), inference(resolution, [status(thm)], [c13, c15])).
% 77.87/15.48  cnf(p97, plain, distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(sk2,X0),sk2), inference(resolution, [status(thm)], [p66, c8])).
% 77.87/15.48  cnf(p341, plain, (distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)) | distinct_lines(sk3,X0) | ~spl0), inference(resolution, [status(thm)], [p62, p97])).
% 77.87/15.48  fof(sdef32, definition, (spl32 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)) | distinct_lines(sk3,X0))), introduced(definition, [new_symbols(naming, [spl32])], [avatar_definition])).
% 77.87/15.48  cnf(ssp21, plain, (~spl0 | spl30 | spl32), inference(avatar_split_clause, [status(thm)], [p341, sdef30, sdef32])).
% 77.87/15.48  cnf(p104, plain, convergent_lines(X0,sk3) | ~apart_point_and_line(intersection_point(sk2,X0),sk2), inference(resolution, [status(thm)], [p82, c8])).
% 77.87/15.48  cnf(p344, plain, (distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)) | convergent_lines(X0,sk3) | ~spl0), inference(resolution, [status(thm)], [p62, p104])).
% 77.87/15.48  fof(sdef33, definition, (spl33 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)) | convergent_lines(X0,sk3))), introduced(definition, [new_symbols(naming, [spl33])], [avatar_definition])).
% 77.87/15.48  cnf(ssp22, plain, (~spl0 | spl30 | spl33), inference(avatar_split_clause, [status(thm)], [p344, sdef30, sdef33])).
% 77.87/15.48  cnf(p350, plain, (distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | ~spl0 | ~spl3), inference(resolution, [status(thm)], [p62, p245])).
% 77.87/15.48  fof(sdef34, definition, (spl34 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl34])], [avatar_definition])).
% 77.87/15.48  cnf(ssp23, plain, (~spl0 | ~spl3 | spl30 | spl34), inference(avatar_split_clause, [status(thm)], [p350, sdef30, sdef34])).
% 77.87/15.48  cnf(p249, plain, (~apart_point_and_line(intersection_point(sk2,sk1),sk2) | ~spl8), inference(resolution, [status(thm)], [p229, c8])).
% 77.87/15.48  cnf(p352, plain, (distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk1)) | ~spl0 | ~spl8), inference(resolution, [status(thm)], [p62, p249])).
% 77.87/15.48  fof(sdef35, definition, (spl35 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk1)))), introduced(definition, [new_symbols(naming, [spl35])], [avatar_definition])).
% 77.87/15.48  cnf(ssp24, plain, (~spl0 | ~spl8 | spl30 | spl35), inference(avatar_split_clause, [status(thm)], [p352, sdef30, sdef35])).
% 77.87/15.48  cnf(p254, plain, (~apart_point_and_line(intersection_point(sk1,sk2),sk2) | ~spl13), inference(resolution, [status(thm)], [p241, c9])).
% 77.87/15.48  cnf(p354, plain, (distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk2)) | ~spl0 | ~spl13), inference(resolution, [status(thm)], [p62, p254])).
% 77.87/15.48  fof(sdef36, definition, (spl36 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk2)))), introduced(definition, [new_symbols(naming, [spl36])], [avatar_definition])).
% 77.87/15.48  cnf(ssp25, plain, (~spl0 | ~spl13 | spl30 | spl36), inference(avatar_split_clause, [status(thm)], [p354, sdef30, sdef36])).
% 77.87/15.48  cnf(p356, plain, (distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk0)) | ~spl0 | ~spl14), inference(resolution, [status(thm)], [p62, p259])).
% 77.87/15.48  fof(sdef37, definition, (spl37 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk0)))), introduced(definition, [new_symbols(naming, [spl37])], [avatar_definition])).
% 77.87/15.48  cnf(ssp26, plain, (~spl0 | ~spl14 | spl30 | spl37), inference(avatar_split_clause, [status(thm)], [p356, sdef30, sdef37])).
% 77.87/15.48  cnf(p383, plain, (~apart_point_and_line(intersection_point(sk1,sk2),sk2) | ~spl10), inference(resolution, [status(thm)], [p377, c9])).
% 77.87/15.48  cnf(p386, plain, (distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk2)) | ~spl0 | ~spl10), inference(resolution, [status(thm)], [p383, p62])).
% 77.87/15.48  cnf(ssp27, plain, (~spl0 | ~spl10 | spl30 | spl36), inference(avatar_split_clause, [status(thm)], [p386, sdef30, sdef36])).
% 77.87/15.48  cnf(p415, plain, (distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | ~spl0 | ~spl11), inference(resolution, [status(thm)], [p411, p62])).
% 77.87/15.48  cnf(ssp28, plain, (~spl0 | ~spl11 | spl30 | spl34), inference(avatar_split_clause, [status(thm)], [p415, sdef30, sdef34])).
% 77.87/15.48  cnf(p284, plain, (convergent_lines(sk0,sk3) | ~spl20), inference(avatar_component_clause, [status(thm)], [sdef20])).
% 77.87/15.48  cnf(p310, plain, (distinct_lines(sk3,X0) | convergent_lines(sk0,X0) | ~spl20), inference(resolution, [status(thm)], [p284, c13])).
% 77.87/15.48  cnf(p487, plain, (distinct_lines(sk3,sk0) | ~spl20), inference(resolution, [status(thm)], [p310, c2])).
% 77.87/15.48  cnf(p493, plain, (apart_point_and_line(X0,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,sk0) | ~spl0 | ~spl20), inference(resolution, [status(thm)], [p487, p55])).
% 77.87/15.48  fof(sdef38, definition, (spl38 <=> (apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,sk0))), introduced(definition, [new_symbols(naming, [spl38])], [avatar_definition])).
% 77.87/15.48  cnf(ssp29, plain, (~spl0 | ~spl20 | spl1 | spl17 | spl38), inference(avatar_split_clause, [status(thm)], [p493, sdef1, sdef17, sdef38])).
% 77.87/15.48  cnf(p60, plain, (distinct_lines(sk2,sk0) | ~spl0), inference(resolution, [status(thm)], [p50, p21])).
% 77.87/15.48  cnf(p64, plain, (distinct_lines(sk2,X0) | distinct_lines(sk0,X0) | ~spl0), inference(resolution, [status(thm)], [p60, c4])).
% 77.87/15.48  cnf(p76, plain, (distinct_lines(sk0,X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p64, c4])).
% 77.87/15.48  cnf(p507, plain, (distinct_lines(sk2,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X1) | ~spl0), inference(resolution, [status(thm)], [p76, p55])).
% 77.87/15.48  fof(sdef39, definition, (spl39 <=> (distinct_lines(sk2,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X1))), introduced(definition, [new_symbols(naming, [spl39])], [avatar_definition])).
% 77.87/15.48  cnf(ssp30, plain, (~spl0 | spl17 | spl39), inference(avatar_split_clause, [status(thm)], [p507, sdef17, sdef39])).
% 77.87/15.48  cnf(p314, plain, (distinct_lines(sk1,X0) | convergent_lines(sk3,X0) | ~spl23), inference(resolution, [status(thm)], [p293, c13])).
% 77.87/15.48  cnf(p509, plain, (distinct_lines(sk1,sk3) | ~spl23), inference(resolution, [status(thm)], [p314, c2])).
% 77.87/15.48  cnf(p515, plain, (apart_point_and_line(X0,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk3) | ~spl0 | ~spl23), inference(resolution, [status(thm)], [p509, p55])).
% 77.87/15.48  fof(sdef40, definition, (spl40 <=> (apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk3))), introduced(definition, [new_symbols(naming, [spl40])], [avatar_definition])).
% 77.87/15.48  cnf(ssp31, plain, (~spl0 | ~spl23 | spl1 | spl16 | spl40), inference(avatar_split_clause, [status(thm)], [p515, sdef1, sdef16, sdef40])).
% 77.87/15.48  cnf(p318, plain, (distinct_lines(sk3,X0) | convergent_lines(sk1,X0) | ~spl28), inference(resolution, [status(thm)], [p303, c13])).
% 77.87/15.48  cnf(p529, plain, (distinct_lines(sk3,sk1) | ~spl28), inference(resolution, [status(thm)], [p318, c2])).
% 77.87/15.48  cnf(p535, plain, (apart_point_and_line(X0,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,sk1) | ~spl0 | ~spl28), inference(resolution, [status(thm)], [p529, p55])).
% 77.87/15.48  cnf(ssp32, plain, (~spl0 | ~spl28 | spl1 | spl16 | spl40), inference(avatar_split_clause, [status(thm)], [p535, sdef1, sdef16, sdef40])).
% 77.87/15.48  cnf(p81, plain, distinct_lines(sk1,X0) | distinct_lines(X0,X1) | convergent_lines(sk0,X1), inference(resolution, [status(thm)], [p65, c13])).
% 77.87/15.48  cnf(p548, plain, (distinct_lines(X0,X1) | convergent_lines(sk0,X1) | apart_point_and_line(X2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X0) | ~spl0), inference(resolution, [status(thm)], [p81, p55])).
% 77.87/15.48  fof(sdef41, definition, (spl41 <=> (distinct_lines(X0,X1) | convergent_lines(sk0,X1) | apart_point_and_line(X2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X0))), introduced(definition, [new_symbols(naming, [spl41])], [avatar_definition])).
% 77.87/15.48  cnf(ssp33, plain, (~spl0 | spl16 | spl41), inference(avatar_split_clause, [status(thm)], [p548, sdef16, sdef41])).
% 77.87/15.48  cnf(p83, plain, convergent_lines(sk3,X0) | convergent_lines(X1,X0) | ~apart_point_and_line(intersection_point(sk2,X1),sk2), inference(resolution, [status(thm)], [p32, c8])).
% 77.87/15.48  cnf(p560, plain, (convergent_lines(sk3,X0) | convergent_lines(X1,X0) | distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X1)) | ~spl0), inference(resolution, [status(thm)], [p83, p62])).
% 77.87/15.48  fof(sdef42, definition, (spl42 <=> (convergent_lines(sk3,X0) | convergent_lines(X1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X1)))), introduced(definition, [new_symbols(naming, [spl42])], [avatar_definition])).
% 77.87/15.48  cnf(ssp34, plain, (~spl0 | spl30 | spl42), inference(avatar_split_clause, [status(thm)], [p560, sdef30, sdef42])).
% 77.87/15.48  cnf(p306, plain, (convergent_lines(sk3,sk0) | ~spl29), inference(avatar_component_clause, [status(thm)], [sdef29])).
% 77.87/15.48  cnf(p322, plain, (distinct_lines(sk0,X0) | convergent_lines(sk3,X0) | ~spl29), inference(resolution, [status(thm)], [p306, c13])).
% 77.87/15.48  cnf(p554, plain, (distinct_lines(sk0,sk3) | ~spl29), inference(resolution, [status(thm)], [p322, c2])).
% 77.87/15.48  cnf(p563, plain, (apart_point_and_line(X0,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk3) | ~spl0 | ~spl29), inference(resolution, [status(thm)], [p554, p55])).
% 77.87/15.48  cnf(ssp35, plain, (~spl0 | ~spl29 | spl1 | spl17 | spl38), inference(avatar_split_clause, [status(thm)], [p563, sdef1, sdef17, sdef38])).
% 77.87/15.48  cnf(p85, plain, convergent_lines(sk2,X0) | convergent_lines(sk3,X1) | ~apart_point_and_line(intersection_point(X0,X1),X0), inference(resolution, [status(thm)], [p32, c8])).
% 77.87/15.48  cnf(p588, plain, (convergent_lines(sk2,sk2) | convergent_lines(sk3,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(sk2,X0),X1) | ~spl0), inference(resolution, [status(thm)], [p85, p52])).
% 77.87/15.48  fof(sdef43, definition, (spl43 <=> (convergent_lines(sk3,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(sk2,X0),X1))), introduced(definition, [new_symbols(naming, [spl43])], [avatar_definition])).
% 77.87/15.48  cnf(ssp36, plain, (~spl0 | spl5 | spl43), inference(avatar_split_clause, [status(thm)], [p588, sdef5, sdef43])).
% 77.87/15.48  cnf(p87, plain, convergent_lines(sk2,X0) | convergent_lines(X0,X1) | ~apart_point_and_line(intersection_point(sk3,X1),X1), inference(resolution, [status(thm)], [p32, c9])).
% 77.87/15.48  cnf(p616, plain, (convergent_lines(sk2,X0) | convergent_lines(X0,sk2) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(sk3,sk2),X1) | ~spl0), inference(resolution, [status(thm)], [p87, p52])).
% 77.87/15.48  cnf(ssp37, plain, (~spl0 | spl4 | spl44), inference(avatar_split_clause, [status(thm)], [p616, sdef4, sdef44])).
% 77.87/15.48  cnf(p298, plain, (convergent_lines(sk1,X0) | convergent_lines(sk3,X0) | ~spl25), inference(avatar_component_clause, [status(thm)], [sdef25])).
% 77.87/15.48  cnf(p438, plain, (convergent_lines(sk1,sk3) | ~spl25), inference(resolution, [status(thm)], [p298, c2])).
% 77.87/15.48  cnf(p453, plain, (distinct_lines(sk3,X0) | convergent_lines(sk1,X0) | ~spl25), inference(resolution, [status(thm)], [p438, c13])).
% 77.87/15.48  cnf(p619, plain, (distinct_lines(sk3,sk1) | ~spl25), inference(resolution, [status(thm)], [p453, c2])).
% 77.87/15.48  cnf(p625, plain, (apart_point_and_line(X0,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,sk1) | ~spl0 | ~spl25), inference(resolution, [status(thm)], [p619, p55])).
% 77.87/15.48  cnf(ssp38, plain, (~spl0 | ~spl25 | spl1 | spl16 | spl40), inference(avatar_split_clause, [status(thm)], [p625, sdef1, sdef16, sdef40])).
% 77.87/15.48  cnf(p88, plain, convergent_lines(sk2,X0) | convergent_lines(sk3,X1) | ~apart_point_and_line(intersection_point(X0,X1),X1), inference(resolution, [status(thm)], [p32, c9])).
% 77.87/15.48  cnf(p629, plain, (convergent_lines(sk2,X0) | convergent_lines(sk3,sk2) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(X0,sk2),X1) | ~spl0), inference(resolution, [status(thm)], [p88, p52])).
% 77.87/15.48  fof(sdef45, definition, (spl45 <=> (convergent_lines(sk2,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(X0,sk2),X1))), introduced(definition, [new_symbols(naming, [spl45])], [avatar_definition])).
% 77.87/15.48  fof(sdef46, definition, (spl46 <=> (convergent_lines(sk3,sk2))), introduced(definition, [new_symbols(naming, [spl46])], [avatar_definition])).
% 77.87/15.48  cnf(ssp39, plain, (~spl0 | spl45 | spl46), inference(avatar_split_clause, [status(thm)], [p629, sdef45, sdef46])).
% 77.87/15.48  cnf(p631, plain, (convergent_lines(sk3,sk2) | ~spl46), inference(avatar_component_clause, [status(thm)], [sdef46])).
% 77.87/15.48  cnf(p633, plain, (~apart_point_and_line(intersection_point(sk3,sk2),sk2) | ~spl46), inference(resolution, [status(thm)], [p631, c9])).
% 77.87/15.48  cnf(p635, plain, (distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,sk2)) | ~spl0 | ~spl46), inference(resolution, [status(thm)], [p633, p62])).
% 77.87/15.48  fof(sdef47, definition, (spl47 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,sk2)))), introduced(definition, [new_symbols(naming, [spl47])], [avatar_definition])).
% 77.87/15.48  cnf(ssp40, plain, (~spl0 | ~spl46 | spl30 | spl47), inference(avatar_split_clause, [status(thm)], [p635, sdef30, sdef47])).
% 77.87/15.48  cnf(p300, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk3) | ~spl26), inference(avatar_component_clause, [status(thm)], [sdef26])).
% 77.87/15.48  cnf(p454, plain, (convergent_lines(sk0,sk3) | ~spl26), inference(resolution, [status(thm)], [p300, c2])).
% 77.87/15.48  cnf(p476, plain, (distinct_lines(sk3,X0) | convergent_lines(sk0,X0) | ~spl26), inference(resolution, [status(thm)], [p454, c13])).
% 77.87/15.48  cnf(p658, plain, (distinct_lines(sk3,sk0) | ~spl26), inference(resolution, [status(thm)], [p476, c2])).
% 77.87/15.48  cnf(p664, plain, (apart_point_and_line(X0,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,sk0) | ~spl0 | ~spl26), inference(resolution, [status(thm)], [p658, p55])).
% 77.87/15.48  cnf(ssp41, plain, (~spl0 | ~spl26 | spl1 | spl17 | spl38), inference(avatar_split_clause, [status(thm)], [p664, sdef1, sdef17, sdef38])).
% 77.87/15.48  cnf(p492, plain, (distinct_lines(sk3,X0) | distinct_lines(sk0,X0) | ~spl20), inference(resolution, [status(thm)], [p487, c4])).
% 77.87/15.48  cnf(p667, plain, (distinct_lines(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | ~spl0 | ~spl20), inference(resolution, [status(thm)], [p492, p55])).
% 77.87/15.48  fof(sdef48, definition, (spl48 <=> (distinct_lines(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0))), introduced(definition, [new_symbols(naming, [spl48])], [avatar_definition])).
% 77.87/15.48  cnf(ssp42, plain, (~spl0 | ~spl20 | spl1 | spl48), inference(avatar_split_clause, [status(thm)], [p667, sdef1, sdef48])).
% 77.87/15.48  cnf(p503, plain, (distinct_lines(sk0,X0) | distinct_lines(X0,sk2) | ~spl0), inference(resolution, [status(thm)], [p76, c1])).
% 77.87/15.48  cnf(p690, plain, (distinct_lines(X0,sk2) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p503, p55])).
% 77.87/15.48  fof(sdef49, definition, (spl49 <=> (distinct_lines(X0,sk2) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0))), introduced(definition, [new_symbols(naming, [spl49])], [avatar_definition])).
% 77.87/15.48  cnf(ssp43, plain, (~spl0 | spl17 | spl49), inference(avatar_split_clause, [status(thm)], [p690, sdef17, sdef49])).
% 77.87/15.48  cnf(p514, plain, (distinct_lines(sk1,X0) | distinct_lines(sk3,X0) | ~spl23), inference(resolution, [status(thm)], [p509, c4])).
% 77.87/15.48  cnf(p693, plain, (distinct_lines(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | ~spl0 | ~spl23), inference(resolution, [status(thm)], [p514, p55])).
% 77.87/15.48  fof(sdef50, definition, (spl50 <=> (distinct_lines(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0))), introduced(definition, [new_symbols(naming, [spl50])], [avatar_definition])).
% 77.87/15.48  cnf(ssp44, plain, (~spl0 | ~spl23 | spl1 | spl50), inference(avatar_split_clause, [status(thm)], [p693, sdef1, sdef50])).
% 77.87/15.48  cnf(p91, plain, convergent_lines(sk2,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p32, c5])).
% 77.87/15.48  cnf(p695, plain, convergent_lines(sk2,X0) | convergent_lines(sk3,sk2) | convergent_lines(X0,X0), inference(factoring, [status(thm)], [p91])).
% 77.87/15.48  cnf(ssp45, plain, (spl46 | spl51), inference(avatar_split_clause, [status(thm)], [p695, sdef46, sdef51])).
% 77.87/15.48  cnf(p534, plain, (distinct_lines(sk3,X0) | distinct_lines(sk1,X0) | ~spl28), inference(resolution, [status(thm)], [p529, c4])).
% 77.87/15.48  cnf(p715, plain, (distinct_lines(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | ~spl0 | ~spl28), inference(resolution, [status(thm)], [p534, p55])).
% 77.87/15.48  cnf(ssp46, plain, (~spl0 | ~spl28 | spl1 | spl50), inference(avatar_split_clause, [status(thm)], [p715, sdef1, sdef50])).
% 77.87/15.48  cnf(p541, plain, distinct_lines(sk1,X0) | distinct_lines(X0,sk0), inference(resolution, [status(thm)], [p81, c2])).
% 77.87/15.48  cnf(p718, plain, (distinct_lines(X0,sk0) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p541, p55])).
% 77.87/15.48  fof(sdef52, definition, (spl52 <=> (distinct_lines(X0,sk0) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0))), introduced(definition, [new_symbols(naming, [spl52])], [avatar_definition])).
% 77.87/15.48  cnf(ssp47, plain, (~spl0 | spl16 | spl52), inference(avatar_split_clause, [status(thm)], [p718, sdef16, sdef52])).
% 77.87/15.48  cnf(p720, plain, (distinct_lines(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | ~spl0), inference(resolution, [status(thm)], [p541, p55])).
% 77.87/15.48  fof(sdef53, definition, (spl53 <=> (distinct_lines(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0))), introduced(definition, [new_symbols(naming, [spl53])], [avatar_definition])).
% 77.87/15.48  cnf(ssp48, plain, (~spl0 | spl17 | spl53), inference(avatar_split_clause, [status(thm)], [p720, sdef17, sdef53])).
% 77.87/15.48  cnf(p562, plain, (distinct_lines(sk0,X0) | distinct_lines(sk3,X0) | ~spl29), inference(resolution, [status(thm)], [p554, c4])).
% 77.87/15.48  cnf(p742, plain, (distinct_lines(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | ~spl0 | ~spl29), inference(resolution, [status(thm)], [p562, p55])).
% 77.87/15.48  cnf(ssp49, plain, (~spl0 | ~spl29 | spl1 | spl48), inference(avatar_split_clause, [status(thm)], [p742, sdef1, sdef48])).
% 77.87/15.48  cnf(p100, plain, distinct_lines(sk3,X0) | distinct_lines(X0,X1) | convergent_lines(sk2,X1), inference(resolution, [status(thm)], [p66, c13])).
% 77.87/15.48  cnf(p805, plain, (distinct_lines(X0,X1) | convergent_lines(sk2,X1) | apart_point_and_line(X2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X2,sk3) | apart_point_and_line(X2,X0) | ~spl0), inference(resolution, [status(thm)], [p100, p55])).
% 77.87/15.48  fof(sdef54, definition, (spl54 <=> (distinct_lines(X0,X1) | convergent_lines(sk2,X1) | apart_point_and_line(X2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X2,sk3) | apart_point_and_line(X2,X0))), introduced(definition, [new_symbols(naming, [spl54])], [avatar_definition])).
% 77.87/15.48  cnf(ssp50, plain, (~spl0 | spl1 | spl54), inference(avatar_split_clause, [status(thm)], [p805, sdef1, sdef54])).
% 77.87/15.48  cnf(p798, plain, distinct_lines(sk3,X0) | distinct_lines(X0,sk2), inference(resolution, [status(thm)], [p100, c2])).
% 77.87/15.48  cnf(p810, plain, (distinct_lines(X0,sk2) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p798, p55])).
% 77.87/15.48  fof(sdef55, definition, (spl55 <=> (distinct_lines(X0,sk2) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0))), introduced(definition, [new_symbols(naming, [spl55])], [avatar_definition])).
% 77.87/15.48  cnf(ssp51, plain, (~spl0 | spl1 | spl55), inference(avatar_split_clause, [status(thm)], [p810, sdef1, sdef55])).
% 77.87/15.48  cnf(p405, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(X0,sk2),sk2) | ~spl11), inference(resolution, [status(thm)], [p237, c9])).
% 77.87/15.48  cnf(p814, plain, (convergent_lines(sk0,X0) | distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk2)) | ~spl0 | ~spl11), inference(resolution, [status(thm)], [p405, p62])).
% 77.87/15.48  fof(sdef56, definition, (spl56 <=> (convergent_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk2)))), introduced(definition, [new_symbols(naming, [spl56])], [avatar_definition])).
% 77.87/15.48  cnf(ssp52, plain, (~spl0 | ~spl11 | spl30 | spl56), inference(avatar_split_clause, [status(thm)], [p814, sdef30, sdef56])).
% 77.87/15.48  cnf(p61, plain, (distinct_lines(sk2,sk1) | ~spl0), inference(resolution, [status(thm)], [p50, p23])).
% 77.87/15.48  cnf(p74, plain, (distinct_lines(sk2,X0) | distinct_lines(sk1,X0) | ~spl0), inference(resolution, [status(thm)], [p61, c4])).
% 77.87/15.48  cnf(p103, plain, (distinct_lines(sk1,X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p74, c4])).
% 77.87/15.48  cnf(p820, plain, (distinct_lines(sk2,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1) | ~spl0), inference(resolution, [status(thm)], [p103, p55])).
% 77.87/15.48  fof(sdef57, definition, (spl57 <=> (distinct_lines(sk2,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1))), introduced(definition, [new_symbols(naming, [spl57])], [avatar_definition])).
% 77.87/15.48  cnf(ssp53, plain, (~spl0 | spl16 | spl57), inference(avatar_split_clause, [status(thm)], [p820, sdef16, sdef57])).
% 77.87/15.48  cnf(p816, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk2) | ~spl0), inference(resolution, [status(thm)], [p103, c1])).
% 77.87/15.48  cnf(p823, plain, (distinct_lines(X0,sk2) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p816, p55])).
% 77.87/15.48  fof(sdef58, definition, (spl58 <=> (distinct_lines(X0,sk2) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0))), introduced(definition, [new_symbols(naming, [spl58])], [avatar_definition])).
% 77.87/15.48  cnf(ssp54, plain, (~spl0 | spl16 | spl58), inference(avatar_split_clause, [status(thm)], [p823, sdef16, sdef58])).
% 77.87/15.48  cnf(p826, plain, (convergent_lines(sk0,X0) | distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)) | ~spl0 | ~spl3), inference(resolution, [status(thm)], [p428, p62])).
% 77.87/15.48  fof(sdef59, definition, (spl59 <=> (convergent_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)))), introduced(definition, [new_symbols(naming, [spl59])], [avatar_definition])).
% 77.87/15.48  cnf(ssp55, plain, (~spl0 | ~spl3 | spl30 | spl59), inference(avatar_split_clause, [status(thm)], [p826, sdef30, sdef59])).
% 77.87/15.48  cnf(p847, plain, (distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,sk2)) | ~spl0), inference(resolution, [status(thm)], [p845, p62])).
% 77.87/15.48  cnf(ssp56, plain, (~spl0 | spl30 | spl47), inference(avatar_split_clause, [status(thm)], [p847, sdef30, sdef47])).
% 77.87/15.48  cnf(p68, plain, distinct_lines(X0,X1) | convergent_lines(sk3,X1) | convergent_lines(sk2,X0), inference(resolution, [status(thm)], [c13, p26])).
% 77.87/15.48  cnf(p365, plain, distinct_lines(X0,sk3) | convergent_lines(sk2,X0), inference(resolution, [status(thm)], [p68, c2])).
% 77.87/15.48  cnf(p591, plain, distinct_lines(X0,sk3) | ~apart_point_and_line(intersection_point(sk2,X0),sk2), inference(resolution, [status(thm)], [p365, c8])).
% 77.87/15.48  cnf(p863, plain, (distinct_lines(X0,sk3) | distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)) | ~spl0), inference(resolution, [status(thm)], [p591, p62])).
% 77.87/15.48  fof(sdef60, definition, (spl60 <=> (distinct_lines(X0,sk3) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)))), introduced(definition, [new_symbols(naming, [spl60])], [avatar_definition])).
% 77.87/15.48  cnf(ssp57, plain, (~spl0 | spl30 | spl60), inference(avatar_split_clause, [status(thm)], [p863, sdef30, sdef60])).
% 77.87/15.48  cnf(p873, plain, (convergent_lines(sk0,X0) | distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)) | ~spl0 | ~spl11), inference(resolution, [status(thm)], [p605, p62])).
% 77.87/15.48  cnf(ssp58, plain, (~spl0 | ~spl11 | spl30 | spl59), inference(avatar_split_clause, [status(thm)], [p873, sdef30, sdef59])).
% 77.87/15.48  cnf(p112, plain, distinct_lines(sk0,X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p95, c4])).
% 77.87/15.48  cnf(p878, plain, (distinct_lines(sk1,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X1) | ~spl0), inference(resolution, [status(thm)], [p112, p55])).
% 77.87/15.48  fof(sdef61, definition, (spl61 <=> (distinct_lines(sk1,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X1))), introduced(definition, [new_symbols(naming, [spl61])], [avatar_definition])).
% 77.87/15.48  cnf(ssp59, plain, (~spl0 | spl17 | spl61), inference(avatar_split_clause, [status(thm)], [p878, sdef17, sdef61])).
% 77.87/15.48  cnf(p880, plain, (distinct_lines(sk0,X0) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1) | ~spl0), inference(resolution, [status(thm)], [p112, p55])).
% 77.87/15.48  fof(sdef62, definition, (spl62 <=> (distinct_lines(sk0,X0) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1))), introduced(definition, [new_symbols(naming, [spl62])], [avatar_definition])).
% 77.87/15.48  cnf(ssp60, plain, (~spl0 | spl16 | spl62), inference(avatar_split_clause, [status(thm)], [p880, sdef16, sdef62])).
% 77.87/15.48  cnf(p874, plain, distinct_lines(sk0,X0) | distinct_lines(X0,sk1), inference(resolution, [status(thm)], [p112, c1])).
% 77.87/15.48  cnf(p884, plain, (distinct_lines(X0,sk1) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p874, p55])).
% 77.87/15.48  fof(sdef63, definition, (spl63 <=> (distinct_lines(X0,sk1) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0))), introduced(definition, [new_symbols(naming, [spl63])], [avatar_definition])).
% 77.87/15.48  cnf(ssp61, plain, (~spl0 | spl17 | spl63), inference(avatar_split_clause, [status(thm)], [p884, sdef17, sdef63])).
% 77.87/15.48  cnf(p126, plain, convergent_lines(sk0,X0) | convergent_lines(X1,X0) | ~apart_point_and_line(intersection_point(X1,sk1),X1), inference(resolution, [status(thm)], [p47, c8])).
% 77.87/15.48  cnf(p892, plain, (convergent_lines(sk0,X0) | convergent_lines(sk2,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(sk2,sk1),X1) | ~spl0), inference(resolution, [status(thm)], [p126, p52])).
% 77.87/15.48  fof(sdef64, definition, (spl64 <=> (convergent_lines(sk0,X0) | convergent_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl64])], [avatar_definition])).
% 77.87/15.48  cnf(ssp62, plain, (~spl0 | spl6 | spl64), inference(avatar_split_clause, [status(thm)], [p892, sdef6, sdef64])).
% 77.87/15.48  cnf(p893, plain, (convergent_lines(sk0,X0) | convergent_lines(sk2,X0) | ~spl64), inference(avatar_component_clause, [status(thm)], [sdef64])).
% 77.87/15.48  cnf(p895, plain, (convergent_lines(sk0,sk2) | ~spl64), inference(resolution, [status(thm)], [p893, c2])).
% 77.87/15.48  cnf(p901, plain, (~apart_point_and_line(intersection_point(sk0,sk2),sk2) | ~spl64), inference(resolution, [status(thm)], [p895, c9])).
% 77.87/15.48  cnf(p904, plain, (distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | ~spl0 | ~spl64), inference(resolution, [status(thm)], [p901, p62])).
% 77.87/15.48  cnf(ssp63, plain, (~spl0 | ~spl64 | spl30 | spl34), inference(avatar_split_clause, [status(thm)], [p904, sdef30, sdef34])).
% 77.87/15.48  cnf(p128, plain, convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | ~apart_point_and_line(intersection_point(X0,X1),X0), inference(resolution, [status(thm)], [p47, c8])).
% 77.87/15.48  cnf(p913, plain, (convergent_lines(sk2,sk1) | convergent_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(sk2,X0),X1) | ~spl0), inference(resolution, [status(thm)], [p128, p52])).
% 77.87/15.48  fof(sdef65, definition, (spl65 <=> (convergent_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(sk2,X0),X1))), introduced(definition, [new_symbols(naming, [spl65])], [avatar_definition])).
% 77.87/15.48  cnf(ssp64, plain, (~spl0 | spl8 | spl65), inference(avatar_split_clause, [status(thm)], [p913, sdef8, sdef65])).
% 77.87/15.48  cnf(p99, plain, distinct_lines(sk3,X0) | convergent_lines(sk2,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p66, c5])).
% 77.87/15.48  cnf(p784, plain, distinct_lines(sk3,X0) | convergent_lines(X0,sk2), inference(resolution, [status(thm)], [p99, c2])).
% 77.87/15.48  cnf(p794, plain, distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(X0,sk2),sk2), inference(resolution, [status(thm)], [p784, c9])).
% 77.87/15.48  cnf(p917, plain, (distinct_lines(sk3,X0) | distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk2)) | ~spl0), inference(resolution, [status(thm)], [p794, p62])).
% 77.87/15.48  fof(sdef66, definition, (spl66 <=> (distinct_lines(sk3,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk2)))), introduced(definition, [new_symbols(naming, [spl66])], [avatar_definition])).
% 77.87/15.48  cnf(ssp65, plain, (~spl0 | spl30 | spl66), inference(avatar_split_clause, [status(thm)], [p917, sdef30, sdef66])).
% 77.87/15.48  cnf(p896, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk2,X0),sk2) | ~spl64), inference(resolution, [status(thm)], [p893, c8])).
% 77.87/15.48  cnf(p922, plain, (convergent_lines(sk0,X0) | distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)) | ~spl0 | ~spl64), inference(resolution, [status(thm)], [p896, p62])).
% 77.87/15.48  cnf(ssp66, plain, (~spl0 | ~spl64 | spl30 | spl59), inference(avatar_split_clause, [status(thm)], [p922, sdef30, sdef59])).
% 77.87/15.48  cnf(p130, plain, convergent_lines(X0,sk1) | convergent_lines(X0,X1) | ~apart_point_and_line(intersection_point(sk0,X1),X1), inference(resolution, [status(thm)], [p47, c9])).
% 77.87/15.48  cnf(p923, plain, (convergent_lines(X0,sk1) | convergent_lines(X0,sk2) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(sk0,sk2),X1) | ~spl0), inference(resolution, [status(thm)], [p130, p52])).
% 77.87/15.48  cnf(ssp67, plain, (~spl0 | spl7 | spl67), inference(avatar_split_clause, [status(thm)], [p923, sdef7, sdef67])).
% 77.87/15.48  cnf(p931, plain, (~apart_point_and_line(intersection_point(sk2,sk1),sk2) | ~spl67), inference(resolution, [status(thm)], [p926, c8])).
% 77.87/15.48  cnf(p936, plain, (distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk1)) | ~spl0 | ~spl67), inference(resolution, [status(thm)], [p931, p62])).
% 77.87/15.48  cnf(ssp68, plain, (~spl0 | ~spl67 | spl30 | spl35), inference(avatar_split_clause, [status(thm)], [p936, sdef30, sdef35])).
% 77.87/15.48  cnf(p131, plain, convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | ~apart_point_and_line(intersection_point(X0,X1),X1), inference(resolution, [status(thm)], [p47, c9])).
% 77.87/15.48  cnf(p937, plain, (convergent_lines(X0,sk1) | convergent_lines(sk0,sk2) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(X0,sk2),X1) | ~spl0), inference(resolution, [status(thm)], [p131, p52])).
% 77.87/15.48  fof(sdef68, definition, (spl68 <=> (convergent_lines(X0,sk1) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(X0,sk2),X1))), introduced(definition, [new_symbols(naming, [spl68])], [avatar_definition])).
% 77.87/15.48  cnf(ssp69, plain, (~spl0 | spl3 | spl68), inference(avatar_split_clause, [status(thm)], [p937, sdef3, sdef68])).
% 77.87/15.48  cnf(p946, plain, (~apart_point_and_line(intersection_point(sk1,sk2),sk2) | ~spl67), inference(resolution, [status(thm)], [p940, c9])).
% 77.87/15.48  cnf(p949, plain, (distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk2)) | ~spl0 | ~spl67), inference(resolution, [status(thm)], [p946, p62])).
% 77.87/15.48  cnf(ssp70, plain, (~spl0 | ~spl67 | spl30 | spl36), inference(avatar_split_clause, [status(thm)], [p949, sdef30, sdef36])).
% 77.87/15.48  cnf(p928, plain, (convergent_lines(X0,sk1) | ~apart_point_and_line(intersection_point(X0,sk2),sk2) | ~spl67), inference(resolution, [status(thm)], [p924, c9])).
% 77.87/15.48  cnf(p1004, plain, (convergent_lines(X0,sk1) | distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk2)) | ~spl0 | ~spl67), inference(resolution, [status(thm)], [p928, p62])).
% 77.87/15.48  fof(sdef69, definition, (spl69 <=> (convergent_lines(X0,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk2)))), introduced(definition, [new_symbols(naming, [spl69])], [avatar_definition])).
% 77.87/15.48  cnf(ssp71, plain, (~spl0 | ~spl67 | spl30 | spl69), inference(avatar_split_clause, [status(thm)], [p1004, sdef30, sdef69])).
% 77.87/15.48  cnf(p941, plain, (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(sk2,X0),sk2) | ~spl67), inference(resolution, [status(thm)], [p933, c8])).
% 77.87/15.48  cnf(p1007, plain, (convergent_lines(sk1,X0) | distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)) | ~spl0 | ~spl67), inference(resolution, [status(thm)], [p941, p62])).
% 77.87/15.48  fof(sdef70, definition, (spl70 <=> (convergent_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)))), introduced(definition, [new_symbols(naming, [spl70])], [avatar_definition])).
% 77.87/15.48  cnf(ssp72, plain, (~spl0 | ~spl67 | spl30 | spl70), inference(avatar_split_clause, [status(thm)], [p1007, sdef30, sdef70])).
% 77.87/15.48  cnf(p934, plain, (distinct_lines(sk1,X0) | convergent_lines(sk2,X0) | ~spl67), inference(resolution, [status(thm)], [p926, c13])).
% 77.87/15.48  cnf(p967, plain, (distinct_lines(sk1,X0) | ~apart_point_and_line(intersection_point(sk2,X0),sk2) | ~spl67), inference(resolution, [status(thm)], [p934, c8])).
% 77.87/15.48  cnf(p1010, plain, (distinct_lines(sk1,X0) | distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)) | ~spl0 | ~spl67), inference(resolution, [status(thm)], [p967, p62])).
% 77.87/15.48  fof(sdef71, definition, (spl71 <=> (distinct_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)))), introduced(definition, [new_symbols(naming, [spl71])], [avatar_definition])).
% 77.87/15.48  cnf(ssp73, plain, (~spl0 | ~spl67 | spl30 | spl71), inference(avatar_split_clause, [status(thm)], [p1010, sdef30, sdef71])).
% 77.87/15.48  cnf(p140, plain, convergent_lines(X0,sk0) | convergent_lines(X0,X1) | convergent_lines(sk1,X1), inference(resolution, [status(thm)], [p125, c5])).
% 77.87/15.48  cnf(p1025, plain, convergent_lines(X0,sk0) | convergent_lines(sk1,X0), inference(resolution, [status(thm)], [p140, c2])).
% 77.87/15.48  cnf(p1047, plain, convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(X0,sk0),X0), inference(resolution, [status(thm)], [p1025, c8])).
% 77.87/15.48  cnf(p1053, plain, (convergent_lines(sk1,sk2) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk2,sk0),X0) | ~spl0), inference(resolution, [status(thm)], [p1047, p52])).
% 77.87/15.48  fof(sdef72, definition, (spl72 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk2,sk0),X0))), introduced(definition, [new_symbols(naming, [spl72])], [avatar_definition])).
% 77.87/15.48  cnf(ssp74, plain, (~spl0 | spl13 | spl72), inference(avatar_split_clause, [status(thm)], [p1053, sdef13, sdef72])).
% 77.87/15.48  cnf(p1050, plain, convergent_lines(X0,sk0) | ~apart_point_and_line(intersection_point(sk1,X0),X0), inference(resolution, [status(thm)], [p1025, c9])).
% 77.87/15.48  cnf(p1063, plain, (convergent_lines(sk2,sk0) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk2),X0) | ~spl0), inference(resolution, [status(thm)], [p1050, p52])).
% 77.87/15.48  cnf(ssp75, plain, (~spl0 | spl2 | spl14), inference(avatar_split_clause, [status(thm)], [p1063, sdef2, sdef14])).
% 77.87/15.48  cnf(p144, plain, distinct_lines(sk0,X0) | convergent_lines(sk1,X0), inference(resolution, [status(thm)], [p137, c13])).
% 77.87/15.48  cnf(p165, plain, distinct_lines(sk0,X0) | distinct_lines(X0,X1) | convergent_lines(sk1,X1), inference(resolution, [status(thm)], [p144, c13])).
% 77.87/15.48  cnf(p1092, plain, (distinct_lines(X0,X1) | convergent_lines(sk1,X1) | apart_point_and_line(X2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X0) | ~spl0), inference(resolution, [status(thm)], [p165, p55])).
% 77.87/15.48  fof(sdef73, definition, (spl73 <=> (distinct_lines(X0,X1) | convergent_lines(sk1,X1) | apart_point_and_line(X2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X0))), introduced(definition, [new_symbols(naming, [spl73])], [avatar_definition])).
% 77.87/15.48  cnf(ssp76, plain, (~spl0 | spl17 | spl73), inference(avatar_split_clause, [status(thm)], [p1092, sdef17, sdef73])).
% 77.87/15.48  cnf(p40, plain, convergent_lines(sk1,X0) | convergent_lines(X1,X0) | convergent_lines(sk0,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p29, c5])).
% 77.87/15.48  cnf(p147, plain, convergent_lines(sk1,X0) | convergent_lines(sk0,X1) | convergent_lines(X2,X1) | ~apart_point_and_line(intersection_point(X2,X0),X2), inference(resolution, [status(thm)], [p40, c8])).
% 77.87/15.48  cnf(p1105, plain, convergent_lines(sk1,X0) | convergent_lines(sk0,X1) | ~apart_point_and_line(intersection_point(sk0,X0),sk0), inference(factoring, [status(thm)], [p147])).
% 77.87/15.48  fof(sdef74, definition, (spl74 <=> (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(sk0,X0),sk0))), introduced(definition, [new_symbols(naming, [spl74])], [avatar_definition])).
% 77.87/15.48  cnf(ssp77, plain, (spl74 | spl75), inference(avatar_split_clause, [status(thm)], [p1105, sdef74, sdef75])).
% 77.87/15.48  cnf(p1108, plain, (convergent_lines(sk1,X0) | convergent_lines(sk0,X1) | convergent_lines(sk2,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk2,X0),X2) | ~spl0), inference(resolution, [status(thm)], [p147, p52])).
% 77.87/15.48  fof(sdef76, definition, (spl76 <=> (convergent_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(sk2,X0),X1))), introduced(definition, [new_symbols(naming, [spl76])], [avatar_definition])).
% 77.87/15.48  cnf(ssp78, plain, (~spl0 | spl64 | spl76), inference(avatar_split_clause, [status(thm)], [p1108, sdef64, sdef76])).
% 77.87/15.48  cnf(p624, plain, (distinct_lines(sk3,X0) | distinct_lines(sk1,X0) | ~spl25), inference(resolution, [status(thm)], [p619, c4])).
% 77.87/15.48  cnf(p1114, plain, (distinct_lines(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | ~spl0 | ~spl25), inference(resolution, [status(thm)], [p624, p55])).
% 77.87/15.48  cnf(ssp79, plain, (~spl0 | ~spl25 | spl1 | spl50), inference(avatar_split_clause, [status(thm)], [p1114, sdef1, sdef50])).
% 77.87/15.48  cnf(p148, plain, convergent_lines(sk1,X0) | convergent_lines(X1,X0) | convergent_lines(X1,X2) | ~apart_point_and_line(intersection_point(sk0,X2),sk0), inference(resolution, [status(thm)], [p40, c8])).
% 77.87/15.48  cnf(p1115, plain, convergent_lines(sk1,X0) | convergent_lines(sk1,X1) | ~apart_point_and_line(intersection_point(sk0,X1),sk0), inference(factoring, [status(thm)], [p148])).
% 77.87/15.48  cnf(ssp80, plain, (spl74 | spl77), inference(avatar_split_clause, [status(thm)], [p1115, sdef74, sdef77])).
% 77.87/15.48  cnf(p663, plain, (distinct_lines(sk3,X0) | distinct_lines(sk0,X0) | ~spl26), inference(resolution, [status(thm)], [p658, c4])).
% 77.87/15.48  cnf(p1121, plain, (distinct_lines(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | ~spl0 | ~spl26), inference(resolution, [status(thm)], [p663, p55])).
% 77.87/15.48  cnf(ssp81, plain, (~spl0 | ~spl26 | spl1 | spl48), inference(avatar_split_clause, [status(thm)], [p1121, sdef1, sdef48])).
% 77.87/15.48  cnf(p149, plain, convergent_lines(sk1,X0) | convergent_lines(X1,X0) | convergent_lines(sk0,X2) | ~apart_point_and_line(intersection_point(X1,X2),X1), inference(resolution, [status(thm)], [p40, c8])).
% 77.87/15.48  cnf(p1122, plain, (convergent_lines(sk1,X0) | convergent_lines(sk2,X0) | convergent_lines(sk0,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk2,X1),X2) | ~spl0), inference(resolution, [status(thm)], [p149, p52])).
% 77.87/15.48  cnf(ssp82, plain, (~spl0 | spl10 | spl65), inference(avatar_split_clause, [status(thm)], [p1122, sdef10, sdef65])).
% 77.87/15.48  cnf(p1123, plain, (convergent_lines(sk1,X0) | convergent_lines(sk3,X0) | convergent_lines(sk0,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk3,X1),X2) | ~spl1), inference(resolution, [status(thm)], [p149, p56])).
% 77.87/15.48  fof(sdef78, definition, (spl78 <=> (convergent_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(sk3,X0),X1))), introduced(definition, [new_symbols(naming, [spl78])], [avatar_definition])).
% 77.87/15.48  cnf(ssp83, plain, (~spl1 | spl25 | spl78), inference(avatar_split_clause, [status(thm)], [p1123, sdef25, sdef78])).
% 77.87/15.48  cnf(p150, plain, convergent_lines(X0,X1) | convergent_lines(sk0,X2) | convergent_lines(X0,X2) | ~apart_point_and_line(intersection_point(sk1,X1),X1), inference(resolution, [status(thm)], [p40, c9])).
% 77.87/15.48  cnf(p1130, plain, (convergent_lines(X0,sk2) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk1,sk2),X2) | ~spl0), inference(resolution, [status(thm)], [p150, p52])).
% 77.87/15.48  fof(sdef79, definition, (spl79 <=> (convergent_lines(X0,sk2) | convergent_lines(sk0,X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl79])], [avatar_definition])).
% 77.87/15.48  cnf(ssp84, plain, (~spl0 | spl2 | spl79), inference(avatar_split_clause, [status(thm)], [p1130, sdef2, sdef79])).
% 77.87/15.48  cnf(p1132, plain, (convergent_lines(X0,sk3) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk1,sk3),X2) | ~spl1), inference(resolution, [status(thm)], [p150, p56])).
% 77.87/15.48  fof(sdef80, definition, (spl80 <=> (convergent_lines(X0,sk3) | convergent_lines(sk0,X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl80])], [avatar_definition])).
% 77.87/15.48  cnf(ssp85, plain, (~spl1 | spl19 | spl80), inference(avatar_split_clause, [status(thm)], [p1132, sdef19, sdef80])).
% 77.87/15.48  cnf(p457, plain, (convergent_lines(X0,sk3) | ~apart_point_and_line(intersection_point(sk0,X0),X0) | ~spl26), inference(resolution, [status(thm)], [p300, c9])).
% 77.87/15.48  cnf(p1136, plain, (convergent_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X0) | ~spl1 | ~spl26), inference(resolution, [status(thm)], [p457, p56])).
% 77.87/15.48  cnf(ssp86, plain, (~spl1 | ~spl26 | spl22 | spl81), inference(avatar_split_clause, [status(thm)], [p1136, sdef22, sdef81])).
% 77.87/15.48  cnf(p151, plain, convergent_lines(sk1,X0) | convergent_lines(sk0,X1) | convergent_lines(X2,X1) | ~apart_point_and_line(intersection_point(X2,X0),X0), inference(resolution, [status(thm)], [p40, c9])).
% 77.87/15.48  cnf(p1141, plain, convergent_lines(sk1,X0) | convergent_lines(sk0,X1) | ~apart_point_and_line(intersection_point(sk0,X0),X0), inference(factoring, [status(thm)], [p151])).
% 77.87/15.48  fof(sdef82, definition, (spl82 <=> (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(sk0,X0),X0))), introduced(definition, [new_symbols(naming, [spl82])], [avatar_definition])).
% 77.87/15.48  cnf(ssp87, plain, (spl75 | spl82), inference(avatar_split_clause, [status(thm)], [p1141, sdef75, sdef82])).
% 77.87/15.48  cnf(p1143, plain, (convergent_lines(sk1,sk2) | convergent_lines(sk0,X0) | convergent_lines(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(X1,sk2),X2) | ~spl0), inference(resolution, [status(thm)], [p151, p52])).
% 77.87/15.48  fof(sdef83, definition, (spl83 <=> (convergent_lines(sk0,X0) | convergent_lines(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(X1,sk2),X2))), introduced(definition, [new_symbols(naming, [spl83])], [avatar_definition])).
% 77.87/15.48  cnf(ssp88, plain, (~spl0 | spl13 | spl83), inference(avatar_split_clause, [status(thm)], [p1143, sdef13, sdef83])).
% 77.87/15.48  cnf(p1145, plain, (convergent_lines(sk1,sk3) | convergent_lines(sk0,X0) | convergent_lines(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(X1,sk3),X2) | ~spl1), inference(resolution, [status(thm)], [p151, p56])).
% 77.87/15.48  fof(sdef84, definition, (spl84 <=> (convergent_lines(sk0,X0) | convergent_lines(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(X1,sk3),X2))), introduced(definition, [new_symbols(naming, [spl84])], [avatar_definition])).
% 77.87/15.48  cnf(ssp89, plain, (~spl1 | spl28 | spl84), inference(avatar_split_clause, [status(thm)], [p1145, sdef28, sdef84])).
% 77.87/15.48  cnf(p489, plain, (distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(sk0,X0),X0) | ~spl20), inference(resolution, [status(thm)], [p310, c9])).
% 77.87/15.48  cnf(p1150, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X0) | ~spl1 | ~spl20), inference(resolution, [status(thm)], [p489, p56])).
% 77.87/15.48  cnf(ssp90, plain, (~spl1 | ~spl20 | spl22 | spl85), inference(avatar_split_clause, [status(thm)], [p1150, sdef22, sdef85])).
% 77.87/15.48  cnf(p152, plain, convergent_lines(sk1,X0) | convergent_lines(X1,X0) | convergent_lines(X1,X2) | ~apart_point_and_line(intersection_point(sk0,X2),X2), inference(resolution, [status(thm)], [p40, c9])).
% 77.87/15.48  cnf(p1152, plain, convergent_lines(sk1,X0) | convergent_lines(sk1,X1) | ~apart_point_and_line(intersection_point(sk0,X1),X1), inference(factoring, [status(thm)], [p152])).
% 77.87/15.48  cnf(ssp91, plain, (spl77 | spl82), inference(avatar_split_clause, [status(thm)], [p1152, sdef77, sdef82])).
% 77.87/15.48  cnf(p1154, plain, (convergent_lines(sk1,X0) | convergent_lines(X1,X0) | convergent_lines(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk0,sk2),X2) | ~spl0), inference(resolution, [status(thm)], [p152, p52])).
% 77.87/15.48  cnf(ssp92, plain, (~spl0 | spl7 | spl86), inference(avatar_split_clause, [status(thm)], [p1154, sdef7, sdef86])).
% 77.87/15.48  cnf(p1156, plain, (convergent_lines(sk1,X0) | convergent_lines(X1,X0) | convergent_lines(X1,sk3) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk0,sk3),X2) | ~spl1), inference(resolution, [status(thm)], [p152, p56])).
% 77.87/15.48  fof(sdef87, definition, (spl87 <=> (convergent_lines(sk1,X0) | convergent_lines(X1,X0) | convergent_lines(X1,sk3))), introduced(definition, [new_symbols(naming, [spl87])], [avatar_definition])).
% 77.87/15.48  cnf(ssp93, plain, (~spl1 | spl22 | spl87), inference(avatar_split_clause, [status(thm)], [p1156, sdef22, sdef87])).
% 77.87/15.48  cnf(p153, plain, convergent_lines(sk1,X0) | convergent_lines(X1,X0) | convergent_lines(sk0,X2) | ~apart_point_and_line(intersection_point(X1,X2),X2), inference(resolution, [status(thm)], [p40, c9])).
% 77.87/15.48  cnf(p1163, plain, (convergent_lines(sk1,X0) | convergent_lines(X1,X0) | convergent_lines(sk0,sk2) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(X1,sk2),X2) | ~spl0), inference(resolution, [status(thm)], [p153, p52])).
% 77.87/15.48  fof(sdef88, definition, (spl88 <=> (convergent_lines(sk1,X0) | convergent_lines(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(X1,sk2),X2))), introduced(definition, [new_symbols(naming, [spl88])], [avatar_definition])).
% 77.87/15.48  cnf(ssp94, plain, (~spl0 | spl3 | spl88), inference(avatar_split_clause, [status(thm)], [p1163, sdef3, sdef88])).
% 77.87/15.48  cnf(p1165, plain, (convergent_lines(sk1,X0) | convergent_lines(X1,X0) | convergent_lines(sk0,sk3) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(X1,sk3),X2) | ~spl1), inference(resolution, [status(thm)], [p153, p56])).
% 77.87/15.48  fof(sdef89, definition, (spl89 <=> (convergent_lines(sk1,X0) | convergent_lines(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(X1,sk3),X2))), introduced(definition, [new_symbols(naming, [spl89])], [avatar_definition])).
% 77.87/15.48  cnf(ssp95, plain, (~spl1 | spl20 | spl89), inference(avatar_split_clause, [status(thm)], [p1165, sdef20, sdef89])).
% 77.87/15.48  cnf(p531, plain, (distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(sk1,X0),X0) | ~spl28), inference(resolution, [status(thm)], [p318, c9])).
% 77.87/15.48  cnf(p1190, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk3),X0) | ~spl1 | ~spl28), inference(resolution, [status(thm)], [p531, p56])).
% 77.87/15.48  cnf(ssp96, plain, (~spl1 | ~spl28 | spl19 | spl85), inference(avatar_split_clause, [status(thm)], [p1190, sdef19, sdef85])).
% 77.87/15.48  cnf(p621, plain, (distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(sk1,X0),X0) | ~spl25), inference(resolution, [status(thm)], [p453, c9])).
% 77.87/15.48  cnf(p1212, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk3),X0) | ~spl1 | ~spl25), inference(resolution, [status(thm)], [p621, p56])).
% 77.87/15.48  cnf(ssp97, plain, (~spl1 | ~spl25 | spl19 | spl85), inference(avatar_split_clause, [status(thm)], [p1212, sdef19, sdef85])).
% 77.87/15.48  cnf(p660, plain, (distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(sk0,X0),X0) | ~spl26), inference(resolution, [status(thm)], [p476, c9])).
% 77.87/15.48  cnf(p1233, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X0) | ~spl1 | ~spl26), inference(resolution, [status(thm)], [p660, p56])).
% 77.87/15.48  cnf(ssp98, plain, (~spl1 | ~spl26 | spl22 | spl85), inference(avatar_split_clause, [status(thm)], [p1233, sdef22, sdef85])).
% 77.87/15.48  cnf(p313, plain, (convergent_lines(sk3,X0) | convergent_lines(sk1,X0) | ~spl23), inference(resolution, [status(thm)], [p293, c5])).
% 77.87/15.48  cnf(p495, plain, (convergent_lines(sk1,sk3) | ~spl23), inference(resolution, [status(thm)], [p313, c2])).
% 77.87/15.48  cnf(p502, plain, (distinct_lines(sk3,X0) | convergent_lines(sk1,X0) | ~spl23), inference(resolution, [status(thm)], [p495, c13])).
% 77.87/15.48  cnf(p686, plain, (distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(sk1,X0),X0) | ~spl23), inference(resolution, [status(thm)], [p502, c9])).
% 77.87/15.48  cnf(p1250, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk3),X0) | ~spl1 | ~spl23), inference(resolution, [status(thm)], [p686, p56])).
% 77.87/15.48  cnf(ssp99, plain, (~spl1 | ~spl23 | spl19 | spl85), inference(avatar_split_clause, [status(thm)], [p1250, sdef19, sdef85])).
% 77.87/15.48  cnf(p321, plain, (convergent_lines(sk3,X0) | convergent_lines(sk0,X0) | ~spl29), inference(resolution, [status(thm)], [p306, c5])).
% 77.87/15.48  cnf(p536, plain, (convergent_lines(sk0,sk3) | ~spl29), inference(resolution, [status(thm)], [p321, c2])).
% 77.87/15.48  cnf(p553, plain, (distinct_lines(sk3,X0) | convergent_lines(sk0,X0) | ~spl29), inference(resolution, [status(thm)], [p536, c13])).
% 77.87/15.48  cnf(p738, plain, (distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(sk0,X0),X0) | ~spl29), inference(resolution, [status(thm)], [p553, c9])).
% 77.87/15.48  cnf(p1251, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X0) | ~spl1 | ~spl29), inference(resolution, [status(thm)], [p738, p56])).
% 77.87/15.48  cnf(ssp100, plain, (~spl1 | ~spl29 | spl22 | spl85), inference(avatar_split_clause, [status(thm)], [p1251, sdef22, sdef85])).
% 77.87/15.48  cnf(p1142, plain, (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(sk0,X0),X0) | ~spl82), inference(avatar_component_clause, [status(thm)], [sdef82])).
% 77.87/15.48  cnf(p1268, plain, (convergent_lines(sk1,sk2) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk2),X0) | ~spl0 | ~spl82), inference(resolution, [status(thm)], [p1142, p52])).
% 77.87/15.48  cnf(ssp101, plain, (~spl0 | ~spl82 | spl7 | spl13), inference(avatar_split_clause, [status(thm)], [p1268, sdef7, sdef13])).
% 77.87/15.48  cnf(p1269, plain, (convergent_lines(sk1,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X0) | ~spl1 | ~spl82), inference(resolution, [status(thm)], [p1142, p56])).
% 77.87/15.48  cnf(ssp102, plain, (~spl1 | ~spl82 | spl22 | spl28), inference(avatar_split_clause, [status(thm)], [p1269, sdef22, sdef28])).
% 77.87/15.48  cnf(p51, plain, (distinct_lines(sk3,X0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | ~spl1), inference(resolution, [status(thm)], [c12, p18])).
% 77.87/15.48  cnf(p115, plain, (distinct_lines(sk3,sk0) | ~spl1), inference(resolution, [status(thm)], [p51, p21])).
% 77.87/15.48  cnf(p119, plain, (distinct_lines(sk3,X0) | distinct_lines(sk0,X0) | ~spl1), inference(resolution, [status(thm)], [p115, c4])).
% 77.87/15.48  cnf(p122, plain, (distinct_lines(sk0,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p119, c4])).
% 77.87/15.48  cnf(p1275, plain, (distinct_lines(sk3,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X1) | ~spl0 | ~spl1), inference(resolution, [status(thm)], [p122, p55])).
% 77.87/15.48  fof(sdef90, definition, (spl90 <=> (distinct_lines(sk3,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X1))), introduced(definition, [new_symbols(naming, [spl90])], [avatar_definition])).
% 77.87/15.48  cnf(ssp103, plain, (~spl0 | ~spl1 | spl17 | spl90), inference(avatar_split_clause, [status(thm)], [p1275, sdef17, sdef90])).
% 77.87/15.48  cnf(p1271, plain, (distinct_lines(sk0,X0) | distinct_lines(X0,sk3) | ~spl1), inference(resolution, [status(thm)], [p122, c1])).
% 77.87/15.48  cnf(p1278, plain, (distinct_lines(X0,sk3) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | ~spl0 | ~spl1), inference(resolution, [status(thm)], [p1271, p55])).
% 77.87/15.48  fof(sdef91, definition, (spl91 <=> (distinct_lines(X0,sk3) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0))), introduced(definition, [new_symbols(naming, [spl91])], [avatar_definition])).
% 77.87/15.48  cnf(ssp104, plain, (~spl0 | ~spl1 | spl17 | spl91), inference(avatar_split_clause, [status(thm)], [p1278, sdef17, sdef91])).
% 77.87/15.48  cnf(p116, plain, (distinct_lines(sk3,sk1) | ~spl1), inference(resolution, [status(thm)], [p51, p23])).
% 77.87/15.48  cnf(p120, plain, (distinct_lines(sk3,X0) | distinct_lines(sk1,X0) | ~spl1), inference(resolution, [status(thm)], [p116, c4])).
% 77.87/15.48  cnf(p124, plain, (distinct_lines(sk1,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p120, c4])).
% 77.87/15.48  cnf(p1297, plain, (distinct_lines(sk3,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1) | ~spl0 | ~spl1), inference(resolution, [status(thm)], [p124, p55])).
% 77.87/15.48  fof(sdef92, definition, (spl92 <=> (distinct_lines(sk3,X0) | distinct_lines(X1,X0) | apart_point_and_line(X2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1))), introduced(definition, [new_symbols(naming, [spl92])], [avatar_definition])).
% 77.87/15.48  cnf(ssp105, plain, (~spl0 | ~spl1 | spl16 | spl92), inference(avatar_split_clause, [status(thm)], [p1297, sdef16, sdef92])).
% 77.87/15.48  cnf(p1293, plain, (distinct_lines(sk1,X0) | distinct_lines(X0,sk3) | ~spl1), inference(resolution, [status(thm)], [p124, c1])).
% 77.87/15.48  cnf(p1300, plain, (distinct_lines(X0,sk3) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | ~spl0 | ~spl1), inference(resolution, [status(thm)], [p1293, p55])).
% 77.87/15.48  fof(sdef93, definition, (spl93 <=> (distinct_lines(X0,sk3) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0))), introduced(definition, [new_symbols(naming, [spl93])], [avatar_definition])).
% 77.87/15.48  cnf(ssp106, plain, (~spl0 | ~spl1 | spl16 | spl93), inference(avatar_split_clause, [status(thm)], [p1300, sdef16, sdef93])).
% 77.87/15.48  cnf(p41, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(sk1,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p29, c5])).
% 77.87/15.48  cnf(p168, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(X2,X1) | ~apart_point_and_line(intersection_point(X0,X2),X0), inference(resolution, [status(thm)], [p41, c8])).
% 77.87/15.48  cnf(p1377, plain, (convergent_lines(sk0,sk2) | convergent_lines(sk1,X0) | convergent_lines(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk2,X1),X2) | ~spl0), inference(resolution, [status(thm)], [p168, p52])).
% 77.87/15.48  fof(sdef94, definition, (spl94 <=> (convergent_lines(sk1,X0) | convergent_lines(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk2,X1),X2))), introduced(definition, [new_symbols(naming, [spl94])], [avatar_definition])).
% 77.87/15.48  cnf(ssp107, plain, (~spl0 | spl3 | spl94), inference(avatar_split_clause, [status(thm)], [p1377, sdef3, sdef94])).
% 77.87/15.48  cnf(p1379, plain, (convergent_lines(sk0,sk3) | convergent_lines(sk1,X0) | convergent_lines(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk3,X1),X2) | ~spl1), inference(resolution, [status(thm)], [p168, p56])).
% 77.87/15.48  fof(sdef95, definition, (spl95 <=> (convergent_lines(sk1,X0) | convergent_lines(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk3,X1),X2))), introduced(definition, [new_symbols(naming, [spl95])], [avatar_definition])).
% 77.87/15.48  cnf(ssp108, plain, (~spl1 | spl20 | spl95), inference(avatar_split_clause, [status(thm)], [p1379, sdef20, sdef95])).
% 77.87/15.48  cnf(p266, plain, (apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk0) | ~spl15), inference(avatar_component_clause, [status(thm)], [sdef15])).
% 77.87/15.48  cnf(p1400, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | ~spl15), inference(resolution, [status(thm)], [p266, p22])).
% 77.87/15.48  cnf(ssp109, plain, (~spl15 | spl96 | spl97), inference(avatar_split_clause, [status(thm)], [p1400, sdef96, sdef97])).
% 77.87/15.48  cnf(p1403, plain, (apart_point_and_line(intersection_point(sk1,sk2),sk1) | apart_point_and_line(intersection_point(sk1,sk2),sk0) | convergent_lines(sk0,sk2) | ~spl15), inference(resolution, [status(thm)], [p266, p28])).
% 77.87/15.48  fof(sdef99, definition, (spl99 <=> (apart_point_and_line(intersection_point(sk1,sk2),sk0))), introduced(definition, [new_symbols(naming, [spl99])], [avatar_definition])).
% 77.87/15.48  cnf(ssp110, plain, (~spl15 | spl3 | spl98 | spl99), inference(avatar_split_clause, [status(thm)], [p1403, sdef3, sdef98, sdef99])).
% 77.87/15.48  cnf(p1406, plain, (apart_point_and_line(intersection_point(sk3,sk2),sk1) | apart_point_and_line(intersection_point(sk3,sk2),sk0) | convergent_lines(sk2,sk2) | ~spl15), inference(resolution, [status(thm)], [p266, p31])).
% 77.87/15.48  fof(sdef100, definition, (spl100 <=> (apart_point_and_line(intersection_point(sk3,sk2),sk1))), introduced(definition, [new_symbols(naming, [spl100])], [avatar_definition])).
% 77.87/15.48  fof(sdef101, definition, (spl101 <=> (apart_point_and_line(intersection_point(sk3,sk2),sk0))), introduced(definition, [new_symbols(naming, [spl101])], [avatar_definition])).
% 77.87/15.48  cnf(ssp111, plain, (~spl15 | spl5 | spl100 | spl101), inference(avatar_split_clause, [status(thm)], [p1406, sdef5, sdef100, sdef101])).
% 77.87/15.48  cnf(p1410, plain, (apart_point_and_line(intersection_point(sk2,sk1),sk1) | apart_point_and_line(intersection_point(sk2,sk1),sk0) | convergent_lines(sk0,sk2) | ~spl15), inference(resolution, [status(thm)], [p266, p44])).
% 77.87/15.48  fof(sdef103, definition, (spl103 <=> (apart_point_and_line(intersection_point(sk2,sk1),sk0))), introduced(definition, [new_symbols(naming, [spl103])], [avatar_definition])).
% 77.87/15.48  cnf(ssp112, plain, (~spl15 | spl3 | spl102 | spl103), inference(avatar_split_clause, [status(thm)], [p1410, sdef3, sdef102, sdef103])).
% 77.87/15.48  cnf(p1413, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | convergent_lines(sk2,sk1) | ~spl15), inference(resolution, [status(thm)], [p266, p45])).
% 77.87/15.48  fof(sdef104, definition, (spl104 <=> (apart_point_and_line(intersection_point(sk0,sk2),sk1))), introduced(definition, [new_symbols(naming, [spl104])], [avatar_definition])).
% 77.87/15.48  cnf(ssp113, plain, (~spl15 | spl8 | spl104 | spl105), inference(avatar_split_clause, [status(thm)], [p1413, sdef8, sdef104, sdef105])).
% 77.87/15.48  cnf(p1417, plain, (apart_point_and_line(intersection_point(sk2,X0),sk1) | apart_point_and_line(intersection_point(sk2,X0),sk0) | convergent_lines(sk0,sk2) | convergent_lines(sk1,X0) | ~spl15), inference(resolution, [status(thm)], [p266, p36])).
% 77.87/15.48  fof(sdef106, definition, (spl106 <=> (apart_point_and_line(intersection_point(sk2,X0),sk1) | apart_point_and_line(intersection_point(sk2,X0),sk0) | convergent_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl106])], [avatar_definition])).
% 77.87/15.48  cnf(ssp114, plain, (~spl15 | spl3 | spl106), inference(avatar_split_clause, [status(thm)], [p1417, sdef3, sdef106])).
% 77.87/15.48  cnf(p1419, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | convergent_lines(sk1,X0) | convergent_lines(sk2,X0) | ~spl15), inference(resolution, [status(thm)], [p266, p37])).
% 77.87/15.48  cnf(ssp115, plain, (~spl15 | spl10 | spl104 | spl105), inference(avatar_split_clause, [status(thm)], [p1419, sdef10, sdef104, sdef105])).
% 77.87/15.48  cnf(p79, plain, distinct_lines(sk1,X0) | ~apart_point_and_line(intersection_point(sk0,X0),X0), inference(resolution, [status(thm)], [p65, c9])).
% 77.87/15.48  cnf(p1420, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | distinct_lines(sk1,sk2) | ~spl15), inference(resolution, [status(thm)], [p266, p79])).
% 77.87/15.48  fof(sdef107, definition, (spl107 <=> (distinct_lines(sk1,sk2))), introduced(definition, [new_symbols(naming, [spl107])], [avatar_definition])).
% 77.87/15.48  cnf(ssp116, plain, (~spl15 | spl104 | spl105 | spl107), inference(avatar_split_clause, [status(thm)], [p1420, sdef104, sdef105, sdef107])).
% 77.87/15.48  cnf(p1423, plain, (apart_point_and_line(intersection_point(sk1,sk2),sk1) | apart_point_and_line(intersection_point(sk1,sk2),sk0) | convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | ~spl15), inference(resolution, [status(thm)], [p266, p38])).
% 77.87/15.48  cnf(ssp117, plain, (~spl15 | spl11 | spl98 | spl99), inference(avatar_split_clause, [status(thm)], [p1423, sdef11, sdef98, sdef99])).
% 77.87/15.48  cnf(p1425, plain, (apart_point_and_line(intersection_point(X0,sk2),sk1) | apart_point_and_line(intersection_point(X0,sk2),sk0) | convergent_lines(sk0,X0) | convergent_lines(sk1,sk2) | ~spl15), inference(resolution, [status(thm)], [p266, p39])).
% 77.87/15.48  fof(sdef108, definition, (spl108 <=> (apart_point_and_line(intersection_point(X0,sk2),sk1) | apart_point_and_line(intersection_point(X0,sk2),sk0) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl108])], [avatar_definition])).
% 77.87/15.48  cnf(ssp118, plain, (~spl15 | spl13 | spl108), inference(avatar_split_clause, [status(thm)], [p1425, sdef13, sdef108])).
% 77.87/15.48  cnf(p1427, plain, (apart_point_and_line(intersection_point(sk2,sk1),sk1) | apart_point_and_line(intersection_point(sk2,sk1),sk0) | convergent_lines(sk2,sk0) | ~spl15), inference(resolution, [status(thm)], [p266, p138])).
% 77.87/15.48  cnf(ssp119, plain, (~spl15 | spl14 | spl102 | spl103), inference(avatar_split_clause, [status(thm)], [p1427, sdef14, sdef102, sdef103])).
% 77.87/15.48  cnf(p163, plain, distinct_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk1,X0),X0), inference(resolution, [status(thm)], [p144, c9])).
% 77.87/15.48  cnf(p1428, plain, (apart_point_and_line(intersection_point(sk1,sk2),sk1) | apart_point_and_line(intersection_point(sk1,sk2),sk0) | distinct_lines(sk0,sk2) | ~spl15), inference(resolution, [status(thm)], [p266, p163])).
% 77.87/15.48  fof(sdef109, definition, (spl109 <=> (distinct_lines(sk0,sk2))), introduced(definition, [new_symbols(naming, [spl109])], [avatar_definition])).
% 77.87/15.48  cnf(ssp120, plain, (~spl15 | spl98 | spl99 | spl109), inference(avatar_split_clause, [status(thm)], [p1428, sdef98, sdef99, sdef109])).
% 77.87/15.48  cnf(p1430, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | ~spl3 | ~spl15), inference(resolution, [status(thm)], [p266, p245])).
% 77.87/15.48  cnf(ssp121, plain, (~spl3 | ~spl15 | spl104 | spl105), inference(avatar_split_clause, [status(thm)], [p1430, sdef104, sdef105])).
% 77.87/15.48  cnf(p1432, plain, (apart_point_and_line(intersection_point(sk2,X0),sk1) | apart_point_and_line(intersection_point(sk2,X0),sk0) | convergent_lines(sk2,sk2) | convergent_lines(sk3,X0) | ~spl15), inference(resolution, [status(thm)], [p266, p85])).
% 77.87/15.48  fof(sdef110, definition, (spl110 <=> (apart_point_and_line(intersection_point(sk2,X0),sk1) | apart_point_and_line(intersection_point(sk2,X0),sk0) | convergent_lines(sk3,X0))), introduced(definition, [new_symbols(naming, [spl110])], [avatar_definition])).
% 77.87/15.48  cnf(ssp122, plain, (~spl15 | spl5 | spl110), inference(avatar_split_clause, [status(thm)], [p1432, sdef5, sdef110])).
% 77.87/15.48  cnf(p1434, plain, (apart_point_and_line(intersection_point(sk3,sk2),sk1) | apart_point_and_line(intersection_point(sk3,sk2),sk0) | convergent_lines(sk2,X0) | convergent_lines(X0,sk2) | ~spl15), inference(resolution, [status(thm)], [p266, p87])).
% 77.87/15.48  cnf(ssp123, plain, (~spl15 | spl44 | spl100 | spl101), inference(avatar_split_clause, [status(thm)], [p1434, sdef44, sdef100, sdef101])).
% 77.87/15.48  cnf(p67, plain, distinct_lines(X0,X1) | convergent_lines(sk1,X1) | convergent_lines(sk0,X0), inference(resolution, [status(thm)], [c13, p25])).
% 77.87/15.48  cnf(p194, plain, distinct_lines(X0,sk1) | convergent_lines(sk0,X0), inference(resolution, [status(thm)], [p67, c2])).
% 77.87/15.48  cnf(p205, plain, distinct_lines(X0,sk1) | ~apart_point_and_line(intersection_point(sk0,X0),X0), inference(resolution, [status(thm)], [p194, c9])).
% 77.87/15.48  cnf(p1435, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | distinct_lines(sk2,sk1) | ~spl15), inference(resolution, [status(thm)], [p266, p205])).
% 77.87/15.48  fof(sdef111, definition, (spl111 <=> (distinct_lines(sk2,sk1))), introduced(definition, [new_symbols(naming, [spl111])], [avatar_definition])).
% 77.87/15.48  cnf(ssp124, plain, (~spl15 | spl104 | spl105 | spl111), inference(avatar_split_clause, [status(thm)], [p1435, sdef104, sdef105, sdef111])).
% 77.87/15.48  cnf(p1438, plain, (apart_point_and_line(intersection_point(sk3,sk2),sk1) | apart_point_and_line(intersection_point(sk3,sk2),sk0) | ~spl15), inference(resolution, [status(thm)], [p266, p845])).
% 77.87/15.48  cnf(ssp125, plain, (~spl15 | spl100 | spl101), inference(avatar_split_clause, [status(thm)], [p1438, sdef100, sdef101])).
% 77.87/15.48  cnf(p72, plain, distinct_lines(X0,X1) | convergent_lines(sk0,X1) | convergent_lines(X0,sk1), inference(resolution, [status(thm)], [c13, p33])).
% 77.87/15.48  cnf(p463, plain, distinct_lines(X0,sk0) | convergent_lines(X0,sk1), inference(resolution, [status(thm)], [p72, c2])).
% 77.87/15.48  cnf(p626, plain, distinct_lines(X0,sk0) | ~apart_point_and_line(intersection_point(X0,sk1),X0), inference(resolution, [status(thm)], [p463, c8])).
% 77.87/15.48  cnf(p1440, plain, (apart_point_and_line(intersection_point(sk2,sk1),sk1) | apart_point_and_line(intersection_point(sk2,sk1),sk0) | distinct_lines(sk2,sk0) | ~spl15), inference(resolution, [status(thm)], [p266, p626])).
% 77.87/15.48  fof(sdef112, definition, (spl112 <=> (distinct_lines(sk2,sk0))), introduced(definition, [new_symbols(naming, [spl112])], [avatar_definition])).
% 77.87/15.48  cnf(ssp126, plain, (~spl15 | spl102 | spl103 | spl112), inference(avatar_split_clause, [status(thm)], [p1440, sdef102, sdef103, sdef112])).
% 77.87/15.48  cnf(p80, plain, distinct_lines(sk1,X0) | convergent_lines(sk0,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p65, c5])).
% 77.87/15.48  cnf(p517, plain, distinct_lines(sk1,X0) | convergent_lines(X0,sk0), inference(resolution, [status(thm)], [p80, c2])).
% 77.87/15.48  cnf(p710, plain, distinct_lines(sk1,X0) | ~apart_point_and_line(intersection_point(X0,sk0),X0), inference(resolution, [status(thm)], [p517, c8])).
% 77.87/15.48  cnf(p1442, plain, (apart_point_and_line(intersection_point(sk2,sk0),sk1) | apart_point_and_line(intersection_point(sk2,sk0),sk0) | distinct_lines(sk1,sk2) | ~spl15), inference(resolution, [status(thm)], [p266, p710])).
% 77.87/15.48  fof(sdef113, definition, (spl113 <=> (apart_point_and_line(intersection_point(sk2,sk0),sk1))), introduced(definition, [new_symbols(naming, [spl113])], [avatar_definition])).
% 77.87/15.48  cnf(ssp127, plain, (~spl15 | spl107 | spl113 | spl114), inference(avatar_split_clause, [status(thm)], [p1442, sdef107, sdef113, sdef114])).
% 77.87/15.48  cnf(p1445, plain, (apart_point_and_line(intersection_point(sk2,sk1),sk1) | apart_point_and_line(intersection_point(sk2,sk1),sk0) | convergent_lines(sk0,X0) | convergent_lines(sk2,X0) | ~spl15), inference(resolution, [status(thm)], [p266, p126])).
% 77.87/15.48  cnf(ssp128, plain, (~spl15 | spl64 | spl102 | spl103), inference(avatar_split_clause, [status(thm)], [p1445, sdef64, sdef102, sdef103])).
% 77.87/15.48  cnf(p1446, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | ~spl15 | ~spl64), inference(resolution, [status(thm)], [p266, p901])).
% 77.87/15.48  cnf(ssp129, plain, (~spl15 | ~spl64 | spl104 | spl105), inference(avatar_split_clause, [status(thm)], [p1446, sdef104, sdef105])).
% 77.87/15.48  cnf(p1447, plain, (apart_point_and_line(intersection_point(sk2,X0),sk1) | apart_point_and_line(intersection_point(sk2,X0),sk0) | convergent_lines(sk2,sk1) | convergent_lines(sk0,X0) | ~spl15), inference(resolution, [status(thm)], [p266, p128])).
% 77.87/15.48  fof(sdef115, definition, (spl115 <=> (apart_point_and_line(intersection_point(sk2,X0),sk1) | apart_point_and_line(intersection_point(sk2,X0),sk0) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl115])], [avatar_definition])).
% 77.87/15.48  cnf(ssp130, plain, (~spl15 | spl8 | spl115), inference(avatar_split_clause, [status(thm)], [p1447, sdef8, sdef115])).
% 77.87/15.48  cnf(p1451, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | convergent_lines(X0,sk1) | convergent_lines(X0,sk2) | ~spl15), inference(resolution, [status(thm)], [p266, p130])).
% 77.87/15.48  cnf(ssp131, plain, (~spl15 | spl67 | spl104 | spl105), inference(avatar_split_clause, [status(thm)], [p1451, sdef67, sdef104, sdef105])).
% 77.87/15.48  cnf(p1452, plain, (apart_point_and_line(intersection_point(X0,sk2),sk1) | apart_point_and_line(intersection_point(X0,sk2),sk0) | convergent_lines(X0,sk1) | convergent_lines(sk0,sk2) | ~spl15), inference(resolution, [status(thm)], [p266, p131])).
% 77.87/15.48  fof(sdef116, definition, (spl116 <=> (apart_point_and_line(intersection_point(X0,sk2),sk1) | apart_point_and_line(intersection_point(X0,sk2),sk0) | convergent_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl116])], [avatar_definition])).
% 77.87/15.48  cnf(ssp132, plain, (~spl15 | spl3 | spl116), inference(avatar_split_clause, [status(thm)], [p1452, sdef3, sdef116])).
% 77.87/15.48  cnf(p1454, plain, (apart_point_and_line(intersection_point(sk2,sk0),sk1) | apart_point_and_line(intersection_point(sk2,sk0),sk0) | convergent_lines(sk1,sk2) | ~spl15), inference(resolution, [status(thm)], [p266, p1047])).
% 77.87/15.48  cnf(ssp133, plain, (~spl15 | spl13 | spl113 | spl114), inference(avatar_split_clause, [status(thm)], [p1454, sdef13, sdef113, sdef114])).
% 77.87/15.48  cnf(p1455, plain, (apart_point_and_line(intersection_point(sk1,sk2),sk1) | apart_point_and_line(intersection_point(sk1,sk2),sk0) | convergent_lines(sk2,sk0) | ~spl15), inference(resolution, [status(thm)], [p266, p1050])).
% 77.87/15.48  cnf(ssp134, plain, (~spl15 | spl14 | spl98 | spl99), inference(avatar_split_clause, [status(thm)], [p1455, sdef14, sdef98, sdef99])).
% 77.87/15.48  cnf(p164, plain, distinct_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p144, c5])).
% 77.87/15.48  cnf(p1074, plain, distinct_lines(sk0,X0) | convergent_lines(X0,sk1), inference(resolution, [status(thm)], [p164, c2])).
% 77.87/15.48  cnf(p1083, plain, distinct_lines(sk0,X0) | ~apart_point_and_line(intersection_point(X0,sk1),X0), inference(resolution, [status(thm)], [p1074, c8])).
% 77.87/15.48  cnf(p1456, plain, (apart_point_and_line(intersection_point(sk2,sk1),sk1) | apart_point_and_line(intersection_point(sk2,sk1),sk0) | distinct_lines(sk0,sk2) | ~spl15), inference(resolution, [status(thm)], [p266, p1083])).
% 77.87/15.48  cnf(ssp135, plain, (~spl15 | spl102 | spl103 | spl109), inference(avatar_split_clause, [status(thm)], [p1456, sdef102, sdef103, sdef109])).
% 77.87/15.48  cnf(p1457, plain, (apart_point_and_line(intersection_point(sk2,X0),sk1) | apart_point_and_line(intersection_point(sk2,X0),sk0) | convergent_lines(sk1,X0) | convergent_lines(sk0,X1) | convergent_lines(sk2,X1) | ~spl15), inference(resolution, [status(thm)], [p266, p147])).
% 77.87/15.48  cnf(ssp136, plain, (~spl15 | spl64 | spl106), inference(avatar_split_clause, [status(thm)], [p1457, sdef64, sdef106])).
% 77.87/15.48  cnf(p1458, plain, (apart_point_and_line(intersection_point(sk2,X0),sk1) | apart_point_and_line(intersection_point(sk2,X0),sk0) | convergent_lines(sk1,X1) | convergent_lines(sk2,X1) | convergent_lines(sk0,X0) | ~spl15), inference(resolution, [status(thm)], [p266, p149])).
% 77.87/15.48  cnf(ssp137, plain, (~spl15 | spl10 | spl115), inference(avatar_split_clause, [status(thm)], [p1458, sdef10, sdef115])).
% 77.87/15.48  cnf(p1459, plain, (apart_point_and_line(intersection_point(sk1,sk2),sk1) | apart_point_and_line(intersection_point(sk1,sk2),sk0) | convergent_lines(X0,sk2) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl15), inference(resolution, [status(thm)], [p266, p150])).
% 77.87/15.48  cnf(ssp138, plain, (~spl15 | spl79 | spl98 | spl99), inference(avatar_split_clause, [status(thm)], [p1459, sdef79, sdef98, sdef99])).
% 77.87/15.48  cnf(p1460, plain, (apart_point_and_line(intersection_point(X0,sk2),sk1) | apart_point_and_line(intersection_point(X0,sk2),sk0) | convergent_lines(sk1,sk2) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl15), inference(resolution, [status(thm)], [p266, p151])).
% 77.87/15.48  fof(sdef117, definition, (spl117 <=> (apart_point_and_line(intersection_point(X0,sk2),sk1) | apart_point_and_line(intersection_point(X0,sk2),sk0) | convergent_lines(sk0,X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl117])], [avatar_definition])).
% 77.87/15.48  cnf(ssp139, plain, (~spl15 | spl13 | spl117), inference(avatar_split_clause, [status(thm)], [p1460, sdef13, sdef117])).
% 77.87/15.48  cnf(p1462, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | convergent_lines(sk1,X0) | convergent_lines(X1,X0) | convergent_lines(X1,sk2) | ~spl15), inference(resolution, [status(thm)], [p266, p152])).
% 77.87/15.48  cnf(ssp140, plain, (~spl15 | spl86 | spl104 | spl105), inference(avatar_split_clause, [status(thm)], [p1462, sdef86, sdef104, sdef105])).
% 77.87/15.48  cnf(p1463, plain, (apart_point_and_line(intersection_point(X0,sk2),sk1) | apart_point_and_line(intersection_point(X0,sk2),sk0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1) | convergent_lines(sk0,sk2) | ~spl15), inference(resolution, [status(thm)], [p266, p153])).
% 77.87/15.48  fof(sdef118, definition, (spl118 <=> (apart_point_and_line(intersection_point(X0,sk2),sk1) | apart_point_and_line(intersection_point(X0,sk2),sk0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl118])], [avatar_definition])).
% 77.87/15.48  cnf(ssp141, plain, (~spl15 | spl3 | spl118), inference(avatar_split_clause, [status(thm)], [p1463, sdef3, sdef118])).
% 77.87/15.48  cnf(p1465, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | convergent_lines(sk1,sk2) | ~spl15 | ~spl82), inference(resolution, [status(thm)], [p266, p1142])).
% 77.87/15.48  cnf(ssp142, plain, (~spl15 | ~spl82 | spl13 | spl104 | spl105), inference(avatar_split_clause, [status(thm)], [p1465, sdef13, sdef104, sdef105])).
% 77.87/15.48  cnf(p206, plain, distinct_lines(X0,sk1) | convergent_lines(sk0,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p194, c5])).
% 77.87/15.48  cnf(p1302, plain, distinct_lines(X0,sk1) | convergent_lines(X0,sk0), inference(resolution, [status(thm)], [p206, c2])).
% 77.87/15.48  cnf(p1311, plain, distinct_lines(X0,sk1) | ~apart_point_and_line(intersection_point(X0,sk0),X0), inference(resolution, [status(thm)], [p1302, c8])).
% 77.87/15.48  cnf(p1466, plain, (apart_point_and_line(intersection_point(sk2,sk0),sk1) | apart_point_and_line(intersection_point(sk2,sk0),sk0) | distinct_lines(sk2,sk1) | ~spl15), inference(resolution, [status(thm)], [p266, p1311])).
% 77.87/15.48  cnf(ssp143, plain, (~spl15 | spl111 | spl113 | spl114), inference(avatar_split_clause, [status(thm)], [p1466, sdef111, sdef113, sdef114])).
% 77.87/15.48  cnf(p1467, plain, (apart_point_and_line(intersection_point(sk2,X0),sk1) | apart_point_and_line(intersection_point(sk2,X0),sk0) | convergent_lines(sk0,sk2) | convergent_lines(sk1,X1) | convergent_lines(X0,X1) | ~spl15), inference(resolution, [status(thm)], [p266, p168])).
% 77.87/15.48  fof(sdef119, definition, (spl119 <=> (apart_point_and_line(intersection_point(sk2,X0),sk1) | apart_point_and_line(intersection_point(sk2,X0),sk0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl119])], [avatar_definition])).
% 77.87/15.48  cnf(ssp144, plain, (~spl15 | spl3 | spl119), inference(avatar_split_clause, [status(thm)], [p1467, sdef3, sdef119])).
% 77.87/15.48  cnf(p170, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(sk1,X2) | ~apart_point_and_line(intersection_point(X1,X2),X1), inference(resolution, [status(thm)], [p41, c8])).
% 77.87/15.48  cnf(p1470, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | convergent_lines(sk1,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk2,X1),X2) | ~spl0), inference(resolution, [status(thm)], [p170, p52])).
% 77.87/15.48  cnf(ssp145, plain, (~spl0 | spl11 | spl76), inference(avatar_split_clause, [status(thm)], [p1470, sdef11, sdef76])).
% 77.87/15.48  cnf(p1471, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk3) | convergent_lines(sk1,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk3,X1),X2) | ~spl1), inference(resolution, [status(thm)], [p170, p56])).
% 77.87/15.48  fof(sdef120, definition, (spl120 <=> (convergent_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(sk3,X0),X1))), introduced(definition, [new_symbols(naming, [spl120])], [avatar_definition])).
% 77.87/15.48  cnf(ssp146, plain, (~spl1 | spl26 | spl120), inference(avatar_split_clause, [status(thm)], [p1471, sdef26, sdef120])).
% 77.87/15.48  cnf(p1474, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | convergent_lines(sk1,X1) | apart_point_and_line(intersection_point(sk2,X1),sk1) | apart_point_and_line(intersection_point(sk2,X1),sk0) | ~spl15), inference(resolution, [status(thm)], [p170, p266])).
% 77.87/15.48  cnf(ssp147, plain, (~spl15 | spl11 | spl106), inference(avatar_split_clause, [status(thm)], [p1474, sdef11, sdef106])).
% 77.87/15.48  cnf(p171, plain, convergent_lines(X0,X1) | convergent_lines(sk1,X2) | convergent_lines(X1,X2) | ~apart_point_and_line(intersection_point(sk0,X0),X0), inference(resolution, [status(thm)], [p41, c9])).
% 77.87/15.48  cnf(p1479, plain, (convergent_lines(sk2,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk0,sk2),X2) | ~spl0), inference(resolution, [status(thm)], [p171, p52])).
% 77.87/15.48  fof(sdef121, definition, (spl121 <=> (convergent_lines(sk2,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl121])], [avatar_definition])).
% 77.87/15.48  cnf(ssp148, plain, (~spl0 | spl7 | spl121), inference(avatar_split_clause, [status(thm)], [p1479, sdef7, sdef121])).
% 77.87/15.48  cnf(p1481, plain, (convergent_lines(sk3,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk0,sk3),X2) | ~spl1), inference(resolution, [status(thm)], [p171, p56])).
% 77.87/15.48  fof(sdef122, definition, (spl122 <=> (convergent_lines(sk3,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl122])], [avatar_definition])).
% 77.87/15.48  cnf(ssp149, plain, (~spl1 | spl22 | spl122), inference(avatar_split_clause, [status(thm)], [p1481, sdef22, sdef122])).
% 77.87/15.48  cnf(p1484, plain, (convergent_lines(sk2,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | ~spl15), inference(resolution, [status(thm)], [p171, p266])).
% 77.87/15.48  cnf(ssp150, plain, (~spl15 | spl104 | spl105 | spl121), inference(avatar_split_clause, [status(thm)], [p1484, sdef104, sdef105, sdef121])).
% 77.87/15.48  cnf(p172, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(X2,X1) | ~apart_point_and_line(intersection_point(X0,X2),X2), inference(resolution, [status(thm)], [p41, c9])).
% 77.87/15.48  cnf(p1486, plain, (convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(sk3,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(X0,sk3),X2) | ~spl1), inference(resolution, [status(thm)], [p172, p56])).
% 77.87/15.48  fof(sdef123, definition, (spl123 <=> (convergent_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(X0,sk3),X1))), introduced(definition, [new_symbols(naming, [spl123])], [avatar_definition])).
% 77.87/15.48  cnf(ssp151, plain, (~spl1 | spl25 | spl123), inference(avatar_split_clause, [status(thm)], [p1486, sdef25, sdef123])).
% 77.87/15.48  cnf(p173, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(X1,X2) | ~apart_point_and_line(intersection_point(sk1,X2),X2), inference(resolution, [status(thm)], [p41, c9])).
% 77.87/15.48  cnf(p1488, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(X1,sk3) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk1,sk3),X2) | ~spl1), inference(resolution, [status(thm)], [p173, p56])).
% 77.87/15.48  fof(sdef124, definition, (spl124 <=> (convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(X1,sk3))), introduced(definition, [new_symbols(naming, [spl124])], [avatar_definition])).
% 77.87/15.48  cnf(ssp152, plain, (~spl1 | spl19 | spl124), inference(avatar_split_clause, [status(thm)], [p1488, sdef19, sdef124])).
% 77.87/15.48  cnf(p174, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(sk1,X2) | ~apart_point_and_line(intersection_point(X1,X2),X2), inference(resolution, [status(thm)], [p41, c9])).
% 77.87/15.48  cnf(p1490, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(sk1,sk3) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(X1,sk3),X2) | ~spl1), inference(resolution, [status(thm)], [p174, p56])).
% 77.87/15.48  fof(sdef125, definition, (spl125 <=> (convergent_lines(sk0,X0) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(X1,sk3),X2))), introduced(definition, [new_symbols(naming, [spl125])], [avatar_definition])).
% 77.87/15.48  cnf(ssp153, plain, (~spl1 | spl28 | spl125), inference(avatar_split_clause, [status(thm)], [p1490, sdef28, sdef125])).
% 77.87/15.48  cnf(p1561, plain, (convergent_lines(sk2,sk2) | convergent_lines(sk3,sk1) | ~spl102), inference(resolution, [status(thm)], [p1411, p88])).
% 77.87/15.48  cnf(ssp154, plain, (~spl102 | spl5 | spl23), inference(avatar_split_clause, [status(thm)], [p1561, sdef5, sdef23])).
% 77.87/15.48  cnf(p1566, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | convergent_lines(sk1,sk1) | ~spl102), inference(resolution, [status(thm)], [p1411, p174])).
% 77.87/15.48  cnf(ssp155, plain, (~spl102 | spl11 | spl126), inference(avatar_split_clause, [status(thm)], [p1566, sdef11, sdef126])).
% 77.87/15.48  cnf(p1629, plain, (convergent_lines(sk0,sk0) | convergent_lines(sk1,sk2) | ~spl105), inference(resolution, [status(thm)], [p1415, p36])).
% 77.87/15.48  cnf(ssp156, plain, (~spl105 | spl13 | spl127), inference(avatar_split_clause, [status(thm)], [p1629, sdef13, sdef127])).
% 77.87/15.48  cnf(p42, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p29, c5])).
% 77.87/15.48  cnf(p183, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(X1,X2) | ~apart_point_and_line(intersection_point(X0,X2),X0), inference(resolution, [status(thm)], [p42, c8])).
% 77.87/15.48  cnf(p1653, plain, (convergent_lines(sk0,sk3) | convergent_lines(sk1,X0) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk3,X1),X2) | ~spl1), inference(resolution, [status(thm)], [p183, p56])).
% 77.87/15.48  fof(sdef128, definition, (spl128 <=> (convergent_lines(sk1,X0) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk3,X1),X2))), introduced(definition, [new_symbols(naming, [spl128])], [avatar_definition])).
% 77.87/15.48  cnf(ssp157, plain, (~spl1 | spl20 | spl128), inference(avatar_split_clause, [status(thm)], [p1653, sdef20, sdef128])).
% 77.87/15.48  cnf(p1664, plain, (convergent_lines(sk2,sk2) | convergent_lines(sk3,sk0) | ~spl114), inference(resolution, [status(thm)], [p1444, p88])).
% 77.87/15.48  cnf(ssp158, plain, (~spl114 | spl5 | spl29), inference(avatar_split_clause, [status(thm)], [p1664, sdef5, sdef29])).
% 77.87/15.48  cnf(p1670, plain, (convergent_lines(sk2,sk1) | convergent_lines(sk0,sk0) | ~spl114), inference(resolution, [status(thm)], [p1444, p131])).
% 77.87/15.48  cnf(ssp159, plain, (~spl114 | spl8 | spl127), inference(avatar_split_clause, [status(thm)], [p1670, sdef8, sdef127])).
% 77.87/15.48  cnf(p1672, plain, (convergent_lines(sk1,X0) | convergent_lines(sk2,X0) | convergent_lines(sk0,sk0) | ~spl114), inference(resolution, [status(thm)], [p1444, p153])).
% 77.87/15.48  cnf(ssp160, plain, (~spl114 | spl10 | spl127), inference(avatar_split_clause, [status(thm)], [p1672, sdef10, sdef127])).
% 77.87/15.48  cnf(p184, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X2) | ~apart_point_and_line(intersection_point(X1,X2),X1), inference(resolution, [status(thm)], [p42, c8])).
% 77.87/15.48  cnf(p1675, plain, (convergent_lines(sk0,X0) | convergent_lines(sk1,sk3) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk3,X1),X2) | ~spl1), inference(resolution, [status(thm)], [p184, p56])).
% 77.87/15.48  fof(sdef129, definition, (spl129 <=> (convergent_lines(sk0,X0) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk3,X1),X2))), introduced(definition, [new_symbols(naming, [spl129])], [avatar_definition])).
% 77.87/15.48  cnf(ssp161, plain, (~spl1 | spl28 | spl129), inference(avatar_split_clause, [status(thm)], [p1675, sdef28, sdef129])).
% 77.87/15.48  cnf(p185, plain, convergent_lines(sk1,X0) | convergent_lines(X1,X2) | convergent_lines(X0,X2) | ~apart_point_and_line(intersection_point(sk0,X1),X1), inference(resolution, [status(thm)], [p42, c9])).
% 77.87/15.48  cnf(p1683, plain, (convergent_lines(sk1,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk0,sk3),X2) | ~spl1), inference(resolution, [status(thm)], [p185, p56])).
% 77.87/15.48  fof(sdef130, definition, (spl130 <=> (convergent_lines(sk1,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl130])], [avatar_definition])).
% 77.87/15.48  cnf(ssp162, plain, (~spl1 | spl22 | spl130), inference(avatar_split_clause, [status(thm)], [p1683, sdef22, sdef130])).
% 77.87/15.48  cnf(p186, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(X2,X1) | ~apart_point_and_line(intersection_point(sk1,X2),X2), inference(resolution, [status(thm)], [p42, c9])).
% 77.87/15.48  cnf(p1685, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(sk3,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk1,sk3),X2) | ~spl1), inference(resolution, [status(thm)], [p186, p56])).
% 77.87/15.48  fof(sdef131, definition, (spl131 <=> (convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(sk3,X1))), introduced(definition, [new_symbols(naming, [spl131])], [avatar_definition])).
% 77.87/15.48  cnf(ssp163, plain, (~spl1 | spl19 | spl131), inference(avatar_split_clause, [status(thm)], [p1685, sdef19, sdef131])).
% 77.87/15.48  cnf(p187, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(X1,X2) | ~apart_point_and_line(intersection_point(X0,X2),X2), inference(resolution, [status(thm)], [p42, c9])).
% 77.87/15.48  cnf(p1687, plain, (convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(X1,sk3) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(X0,sk3),X2) | ~spl1), inference(resolution, [status(thm)], [p187, p56])).
% 77.87/15.48  fof(sdef132, definition, (spl132 <=> (convergent_lines(sk1,X0) | convergent_lines(X0,sk3))), introduced(definition, [new_symbols(naming, [spl132])], [avatar_definition])).
% 77.87/15.48  cnf(ssp164, plain, (~spl1 | spl123 | spl132), inference(avatar_split_clause, [status(thm)], [p1687, sdef123, sdef132])).
% 77.87/15.48  cnf(p188, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X2) | ~apart_point_and_line(intersection_point(X1,X2),X2), inference(resolution, [status(thm)], [p42, c9])).
% 77.87/15.48  cnf(p1690, plain, (convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,sk3) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(X1,sk3),X2) | ~spl1), inference(resolution, [status(thm)], [p188, p56])).
% 77.87/15.48  fof(sdef133, definition, (spl133 <=> (convergent_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(X0,sk3),X1))), introduced(definition, [new_symbols(naming, [spl133])], [avatar_definition])).
% 77.87/15.48  cnf(ssp165, plain, (~spl1 | spl26 | spl133), inference(avatar_split_clause, [status(thm)], [p1690, sdef26, sdef133])).
% 77.87/15.48  cnf(p198, plain, distinct_lines(X0,X1) | convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk1,X1),X1), inference(resolution, [status(thm)], [p67, c9])).
% 77.87/15.48  cnf(p1853, plain, (distinct_lines(X0,sk3) | convergent_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(sk1,sk3),X1) | ~spl1), inference(resolution, [status(thm)], [p198, p56])).
% 77.87/15.48  fof(sdef134, definition, (spl134 <=> (distinct_lines(X0,sk3) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl134])], [avatar_definition])).
% 77.87/15.48  cnf(ssp166, plain, (~spl1 | spl19 | spl134), inference(avatar_split_clause, [status(thm)], [p1853, sdef19, sdef134])).
% 77.87/15.48  cnf(p199, plain, distinct_lines(X0,X1) | convergent_lines(sk1,X1) | ~apart_point_and_line(intersection_point(sk0,X0),X0), inference(resolution, [status(thm)], [p67, c9])).
% 77.87/15.48  cnf(p1868, plain, (distinct_lines(sk3,X0) | convergent_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(sk0,sk3),X1) | ~spl1), inference(resolution, [status(thm)], [p199, p56])).
% 77.87/15.48  fof(sdef135, definition, (spl135 <=> (distinct_lines(sk3,X0) | convergent_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl135])], [avatar_definition])).
% 77.87/15.48  cnf(ssp167, plain, (~spl1 | spl22 | spl135), inference(avatar_split_clause, [status(thm)], [p1868, sdef22, sdef135])).
% 77.87/15.48  cnf(p403, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(X0,sk2),X0) | ~spl11), inference(resolution, [status(thm)], [p237, c8])).
% 77.87/15.48  cnf(p1909, plain, (convergent_lines(sk0,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | ~spl1 | ~spl11), inference(resolution, [status(thm)], [p403, p56])).
% 77.87/15.48  cnf(ssp168, plain, (~spl1 | ~spl11 | spl4 | spl20), inference(avatar_split_clause, [status(thm)], [p1909, sdef4, sdef20])).
% 77.87/15.48  cnf(p1494, plain, (distinct_lines(sk1,X0) | apart_point_and_line(intersection_point(sk1,sk2),X0) | ~spl98), inference(resolution, [status(thm)], [p1404, c12])).
% 77.87/15.48  fof(f7, axiom, ! [X,Y] : ( distinct_points(X,Y) => ~ apart_point_and_line(Y,line_connecting(X,Y)) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ci2)).
% 77.87/15.48  fof(f7_nnf, plain, ! [X,Y] : ((~(distinct_points(X,Y)) | ~(apart_point_and_line(Y,line_connecting(X,Y))))), inference(nnf_transformation, [status(thm)], [f7])).
% 77.87/15.48  fof(f7_sk, plain, ! [X,Y] : ((~(distinct_points(X,Y)) | ~(apart_point_and_line(Y,line_connecting(X,Y))))), inference(skolemisation, [status(esa)], [f7_nnf])).
% 77.87/15.48  cnf(c7, plain, ~distinct_points(X0,X1) | ~apart_point_and_line(X1,line_connecting(X0,X1)), inference(cnf_transformation, [status(esa)], [f7_sk])).
% 77.87/15.48  cnf(p58, plain, (apart_point_and_line(X0,sk3) | ~apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),X0)) | ~spl1), inference(resolution, [status(thm)], [p49, c7])).
% 77.87/15.48  cnf(p1931, plain, (distinct_lines(sk1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk1,sk2))) | apart_point_and_line(intersection_point(sk1,sk2),sk3) | ~spl1 | ~spl98), inference(resolution, [status(thm)], [p1494, p58])).
% 77.87/15.48  fof(sdef136, definition, (spl136 <=> (distinct_lines(sk1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk1,sk2))))), introduced(definition, [new_symbols(naming, [spl136])], [avatar_definition])).
% 77.87/15.48  fof(sdef137, definition, (spl137 <=> (apart_point_and_line(intersection_point(sk1,sk2),sk3))), introduced(definition, [new_symbols(naming, [spl137])], [avatar_definition])).
% 77.87/15.48  cnf(ssp169, plain, (~spl1 | ~spl98 | spl136 | spl137), inference(avatar_split_clause, [status(thm)], [p1931, sdef136, sdef137])).
% 77.87/15.48  cnf(p1405, plain, (apart_point_and_line(intersection_point(sk1,sk2),sk0) | ~spl99), inference(avatar_component_clause, [status(thm)], [sdef99])).
% 77.87/15.48  cnf(p1548, plain, (distinct_lines(sk0,X0) | apart_point_and_line(intersection_point(sk1,sk2),X0) | ~spl99), inference(resolution, [status(thm)], [p1405, c12])).
% 77.87/15.48  cnf(p1945, plain, (distinct_lines(sk0,sk2) | convergent_lines(sk0,sk2) | ~spl99), inference(resolution, [status(thm)], [p1548, p28])).
% 77.87/15.48  cnf(ssp170, plain, (~spl99 | spl3 | spl109), inference(avatar_split_clause, [status(thm)], [p1945, sdef3, sdef109])).
% 77.87/15.48  cnf(p1948, plain, (distinct_lines(sk0,sk2) | convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | ~spl99), inference(resolution, [status(thm)], [p1548, p38])).
% 77.87/15.48  cnf(ssp171, plain, (~spl99 | spl11 | spl109), inference(avatar_split_clause, [status(thm)], [p1948, sdef11, sdef109])).
% 77.87/15.48  cnf(p1949, plain, (distinct_lines(sk0,sk2) | distinct_lines(sk0,sk2) | ~spl99), inference(resolution, [status(thm)], [p1548, p163])).
% 77.87/15.48  cnf(ssp172, plain, (~spl99 | spl109), inference(avatar_split_clause, [status(thm)], [p1949, sdef109])).
% 77.87/15.48  cnf(p1950, plain, (distinct_lines(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk1,sk2))) | apart_point_and_line(intersection_point(sk1,sk2),sk3) | ~spl1 | ~spl99), inference(resolution, [status(thm)], [p1548, p58])).
% 77.87/15.48  fof(sdef138, definition, (spl138 <=> (distinct_lines(sk0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk1,sk2))))), introduced(definition, [new_symbols(naming, [spl138])], [avatar_definition])).
% 77.87/15.48  cnf(ssp173, plain, (~spl1 | ~spl99 | spl137 | spl138), inference(avatar_split_clause, [status(thm)], [p1950, sdef137, sdef138])).
% 77.87/15.48  cnf(p1952, plain, (distinct_lines(sk0,sk2) | distinct_lines(sk3,sk1) | ~spl99), inference(resolution, [status(thm)], [p1548, p794])).
% 77.87/15.48  fof(sdef139, definition, (spl139 <=> (distinct_lines(sk3,sk1))), introduced(definition, [new_symbols(naming, [spl139])], [avatar_definition])).
% 77.87/15.48  cnf(ssp174, plain, (~spl99 | spl109 | spl139), inference(avatar_split_clause, [status(thm)], [p1952, sdef109, sdef139])).
% 77.87/15.48  cnf(p1954, plain, (distinct_lines(sk0,sk2) | convergent_lines(sk2,sk0) | ~spl99), inference(resolution, [status(thm)], [p1548, p1050])).
% 77.87/15.48  cnf(ssp175, plain, (~spl99 | spl14 | spl109), inference(avatar_split_clause, [status(thm)], [p1954, sdef14, sdef109])).
% 77.87/15.48  cnf(p1955, plain, (distinct_lines(sk0,sk2) | convergent_lines(X0,sk2) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl99), inference(resolution, [status(thm)], [p1548, p150])).
% 77.87/15.48  cnf(ssp176, plain, (~spl99 | spl79 | spl109), inference(avatar_split_clause, [status(thm)], [p1955, sdef79, sdef109])).
% 77.87/15.48  cnf(p1956, plain, (distinct_lines(sk0,sk2) | convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(X1,sk2) | ~spl99), inference(resolution, [status(thm)], [p1548, p173])).
% 77.87/15.48  fof(sdef140, definition, (spl140 <=> (convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(X1,sk2))), introduced(definition, [new_symbols(naming, [spl140])], [avatar_definition])).
% 77.87/15.48  cnf(ssp177, plain, (~spl99 | spl109 | spl140), inference(avatar_split_clause, [status(thm)], [p1956, sdef109, sdef140])).
% 77.87/15.48  cnf(p1958, plain, (distinct_lines(sk0,sk2) | convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(sk2,X1) | ~spl99), inference(resolution, [status(thm)], [p1548, p186])).
% 77.87/15.48  fof(sdef141, definition, (spl141 <=> (convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(sk2,X1))), introduced(definition, [new_symbols(naming, [spl141])], [avatar_definition])).
% 77.87/15.48  cnf(ssp178, plain, (~spl99 | spl109 | spl141), inference(avatar_split_clause, [status(thm)], [p1958, sdef109, sdef141])).
% 77.87/15.48  cnf(p1960, plain, (distinct_lines(sk0,sk2) | distinct_lines(X0,sk2) | convergent_lines(sk0,X0) | ~spl99), inference(resolution, [status(thm)], [p1548, p198])).
% 77.87/15.48  fof(sdef142, definition, (spl142 <=> (distinct_lines(X0,sk2) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl142])], [avatar_definition])).
% 77.87/15.48  cnf(ssp179, plain, (~spl99 | spl109 | spl142), inference(avatar_split_clause, [status(thm)], [p1960, sdef109, sdef142])).
% 77.87/15.48  cnf(p270, plain, (apart_point_and_line(X0,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,X1) | distinct_lines(sk0,X1) | ~spl18), inference(avatar_component_clause, [status(thm)], [sdef18])).
% 77.87/15.48  cnf(p1982, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | distinct_lines(sk0,sk2) | ~spl18), inference(factoring, [status(thm)], [p270])).
% 77.87/15.48  cnf(ssp180, plain, (~spl18 | spl0 | spl16 | spl109), inference(avatar_split_clause, [status(thm)], [p1982, sdef0, sdef16, sdef109])).
% 77.87/15.48  cnf(p1983, plain, (apart_point_and_line(X0,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X0,sk1) | distinct_lines(sk0,sk2) | ~spl18), inference(factoring, [status(thm)], [p270])).
% 77.87/15.48  cnf(ssp181, plain, (~spl18 | spl0 | spl109 | spl143), inference(avatar_split_clause, [status(thm)], [p1983, sdef0, sdef109, sdef143])).
% 77.87/15.48  cnf(p1985, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | distinct_lines(sk0,X0) | ~spl18), inference(factoring, [status(thm)], [p270])).
% 77.87/15.48  cnf(ssp182, plain, (~spl18 | spl0 | spl16 | spl144), inference(avatar_split_clause, [status(thm)], [p1985, sdef0, sdef16, sdef144])).
% 77.87/15.48  cnf(p1987, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | distinct_lines(sk0,sk0) | ~spl18), inference(resolution, [status(thm)], [p270, c17])).
% 77.87/15.48  cnf(ssp183, plain, (~spl18 | spl17 | spl96 | spl145 | spl146), inference(avatar_split_clause, [status(thm)], [p1987, sdef17, sdef96, sdef145, sdef146])).
% 77.87/15.48  cnf(p1990, plain, (apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk0) | distinct_lines(sk0,sk0) | ~spl18), inference(resolution, [status(thm)], [p270, p21])).
% 77.87/15.48  cnf(ssp184, plain, (~spl18 | spl15 | spl146), inference(avatar_split_clause, [status(thm)], [p1990, sdef15, sdef146])).
% 77.87/15.48  cnf(p1991, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk0,X0) | ~spl18), inference(resolution, [status(thm)], [p270, p22])).
% 77.87/15.48  fof(sdef147, definition, (spl147 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl147])], [avatar_definition])).
% 77.87/15.48  cnf(ssp185, plain, (~spl18 | spl96 | spl147), inference(avatar_split_clause, [status(thm)], [p1991, sdef96, sdef147])).
% 77.87/15.48  cnf(p24, plain, ~apart_point_and_line(intersection_point(sk2,sk3),sk3), inference(resolution, [status(thm)], [c9, c15])).
% 77.87/15.48  cnf(p1993, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | distinct_lines(sk0,sk3) | ~spl18), inference(resolution, [status(thm)], [p270, p24])).
% 77.87/15.48  fof(sdef148, definition, (spl148 <=> (distinct_lines(sk0,sk3))), introduced(definition, [new_symbols(naming, [spl148])], [avatar_definition])).
% 77.87/15.48  cnf(ssp186, plain, (~spl18 | spl1 | spl96 | spl145 | spl148), inference(avatar_split_clause, [status(thm)], [p1993, sdef1, sdef96, sdef145, sdef148])).
% 77.87/15.48  cnf(p1995, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk1,sk2),sk1) | apart_point_and_line(intersection_point(sk1,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk0,sk2) | ~spl18), inference(resolution, [status(thm)], [p270, p28])).
% 77.87/15.48  fof(sdef149, definition, (spl149 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk1,sk2),X0) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl149])], [avatar_definition])).
% 77.87/15.48  cnf(ssp187, plain, (~spl18 | spl3 | spl98 | spl149), inference(avatar_split_clause, [status(thm)], [p1995, sdef3, sdef98, sdef149])).
% 77.87/15.48  cnf(p30, plain, convergent_lines(sk2,X0) | ~apart_point_and_line(intersection_point(sk3,X0),sk3), inference(resolution, [status(thm)], [p26, c8])).
% 77.87/15.48  cnf(p1998, plain, (apart_point_and_line(intersection_point(sk3,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk3,X0),sk1) | distinct_lines(sk0,sk3) | convergent_lines(sk2,X0) | ~spl18), inference(resolution, [status(thm)], [p270, p30])).
% 77.87/15.48  fof(sdef150, definition, (spl150 <=> (apart_point_and_line(intersection_point(sk3,X0),sk2) | apart_point_and_line(intersection_point(sk3,X0),sk1) | convergent_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl150])], [avatar_definition])).
% 77.87/15.48  cnf(ssp188, plain, (~spl18 | spl1 | spl148 | spl150), inference(avatar_split_clause, [status(thm)], [p1998, sdef1, sdef148, sdef150])).
% 77.87/15.48  cnf(p2000, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk3,sk2),sk1) | apart_point_and_line(intersection_point(sk3,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk2,sk2) | ~spl18), inference(resolution, [status(thm)], [p270, p31])).
% 77.87/15.48  fof(sdef151, definition, (spl151 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk3,sk2),X0) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl151])], [avatar_definition])).
% 77.87/15.48  cnf(ssp189, plain, (~spl18 | spl5 | spl100 | spl151), inference(avatar_split_clause, [status(thm)], [p2000, sdef5, sdef100, sdef151])).
% 77.87/15.48  cnf(p43, plain, convergent_lines(X0,sk1) | ~apart_point_and_line(intersection_point(sk0,X0),sk0), inference(resolution, [status(thm)], [p33, c8])).
% 77.87/15.48  cnf(p2006, plain, (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(sk0,sk0) | convergent_lines(X0,sk1) | ~spl18), inference(resolution, [status(thm)], [p270, p43])).
% 77.87/15.48  fof(sdef152, definition, (spl152 <=> (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,X0),sk1) | convergent_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl152])], [avatar_definition])).
% 77.87/15.48  cnf(ssp190, plain, (~spl18 | spl17 | spl146 | spl152), inference(avatar_split_clause, [status(thm)], [p2006, sdef17, sdef146, sdef152])).
% 77.87/15.48  cnf(p2008, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk1),sk1) | apart_point_and_line(intersection_point(sk2,sk1),X0) | distinct_lines(sk0,X0) | convergent_lines(sk0,sk2) | ~spl18), inference(resolution, [status(thm)], [p270, p44])).
% 77.87/15.48  fof(sdef153, definition, (spl153 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk1),X0) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl153])], [avatar_definition])).
% 77.87/15.48  cnf(ssp191, plain, (~spl18 | spl3 | spl102 | spl153), inference(avatar_split_clause, [status(thm)], [p2008, sdef3, sdef102, sdef153])).
% 77.87/15.48  cnf(p2011, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk2,sk1) | ~spl18), inference(resolution, [status(thm)], [p270, p45])).
% 77.87/15.48  fof(sdef154, definition, (spl154 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl154])], [avatar_definition])).
% 77.87/15.48  cnf(ssp192, plain, (~spl18 | spl8 | spl104 | spl154), inference(avatar_split_clause, [status(thm)], [p2011, sdef8, sdef104, sdef154])).
% 77.87/15.48  cnf(p34, plain, convergent_lines(sk1,X0) | convergent_lines(X1,X0) | ~apart_point_and_line(intersection_point(sk0,X1),sk0), inference(resolution, [status(thm)], [p29, c8])).
% 77.87/15.48  cnf(p2016, plain, (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(sk0,sk0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1) | ~spl18), inference(resolution, [status(thm)], [p270, p34])).
% 77.87/15.48  fof(sdef155, definition, (spl155 <=> (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,X0),sk1) | convergent_lines(sk1,X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl155])], [avatar_definition])).
% 77.87/15.48  cnf(ssp193, plain, (~spl18 | spl17 | spl146 | spl155), inference(avatar_split_clause, [status(thm)], [p2016, sdef17, sdef146, sdef155])).
% 77.87/15.48  cnf(p2018, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,X1),sk1) | apart_point_and_line(intersection_point(sk2,X1),X0) | distinct_lines(sk0,X0) | convergent_lines(sk0,sk2) | convergent_lines(sk1,X1) | ~spl18), inference(resolution, [status(thm)], [p270, p36])).
% 77.87/15.48  fof(sdef156, definition, (spl156 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,X1),sk1) | apart_point_and_line(intersection_point(sk2,X1),X0) | distinct_lines(sk0,X0) | convergent_lines(sk1,X1))), introduced(definition, [new_symbols(naming, [spl156])], [avatar_definition])).
% 77.87/15.48  cnf(ssp194, plain, (~spl18 | spl3 | spl156), inference(avatar_split_clause, [status(thm)], [p2018, sdef3, sdef156])).
% 77.87/15.48  cnf(p2021, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(sk2,X1) | ~spl18), inference(resolution, [status(thm)], [p270, p37])).
% 77.87/15.48  cnf(ssp195, plain, (~spl18 | spl10 | spl104 | spl154), inference(avatar_split_clause, [status(thm)], [p2021, sdef10, sdef104, sdef154])).
% 77.87/15.48  cnf(p78, plain, distinct_lines(sk1,X0) | ~apart_point_and_line(intersection_point(sk0,X0),sk0), inference(resolution, [status(thm)], [p65, c8])).
% 77.87/15.48  cnf(p2022, plain, (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(sk0,sk0) | distinct_lines(sk1,X0) | ~spl18), inference(resolution, [status(thm)], [p270, p78])).
% 77.87/15.48  fof(sdef157, definition, (spl157 <=> (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl157])], [avatar_definition])).
% 77.87/15.48  cnf(ssp196, plain, (~spl18 | spl17 | spl146 | spl157), inference(avatar_split_clause, [status(thm)], [p2022, sdef17, sdef146, sdef157])).
% 77.87/15.48  cnf(p2024, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0) | distinct_lines(sk1,sk2) | ~spl18), inference(resolution, [status(thm)], [p270, p79])).
% 77.87/15.48  cnf(ssp197, plain, (~spl18 | spl104 | spl107 | spl154), inference(avatar_split_clause, [status(thm)], [p2024, sdef104, sdef107, sdef154])).
% 77.87/15.48  cnf(p2026, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk1,sk2),sk1) | apart_point_and_line(intersection_point(sk1,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk0,X1) | convergent_lines(X1,sk2) | ~spl18), inference(resolution, [status(thm)], [p270, p38])).
% 77.87/15.48  cnf(ssp198, plain, (~spl18 | spl11 | spl98 | spl149), inference(avatar_split_clause, [status(thm)], [p2026, sdef11, sdef98, sdef149])).
% 77.87/15.48  cnf(p2032, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(X1,sk2),sk1) | apart_point_and_line(intersection_point(X1,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk0,X1) | convergent_lines(sk1,sk2) | ~spl18), inference(resolution, [status(thm)], [p270, p39])).
% 77.87/15.48  fof(sdef158, definition, (spl158 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(X1,sk2),sk1) | apart_point_and_line(intersection_point(X1,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk0,X1))), introduced(definition, [new_symbols(naming, [spl158])], [avatar_definition])).
% 77.87/15.48  cnf(ssp199, plain, (~spl18 | spl13 | spl158), inference(avatar_split_clause, [status(thm)], [p2032, sdef13, sdef158])).
% 77.87/15.48  cnf(p107, plain, convergent_lines(sk2,X0) | ~apart_point_and_line(intersection_point(X0,sk3),sk3), inference(resolution, [status(thm)], [p82, c9])).
% 77.87/15.48  cnf(p2034, plain, (apart_point_and_line(intersection_point(X0,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(X0,sk3),sk1) | distinct_lines(sk0,sk3) | convergent_lines(sk2,X0) | ~spl18), inference(resolution, [status(thm)], [p270, p107])).
% 77.87/15.48  fof(sdef159, definition, (spl159 <=> (apart_point_and_line(intersection_point(X0,sk3),sk2) | apart_point_and_line(intersection_point(X0,sk3),sk1) | convergent_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl159])], [avatar_definition])).
% 77.87/15.48  cnf(ssp200, plain, (~spl18 | spl1 | spl148 | spl159), inference(avatar_split_clause, [status(thm)], [p2034, sdef1, sdef148, sdef159])).
% 77.87/15.48  cnf(p143, plain, ~apart_point_and_line(intersection_point(sk1,sk0),sk0), inference(resolution, [status(thm)], [p137, c9])).
% 77.87/15.48  cnf(p2036, plain, (apart_point_and_line(intersection_point(sk1,sk0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk1,sk0),sk1) | distinct_lines(sk0,sk0) | ~spl18), inference(resolution, [status(thm)], [p270, p143])).
% 77.87/15.48  fof(sdef160, definition, (spl160 <=> (apart_point_and_line(intersection_point(sk1,sk0),sk2))), introduced(definition, [new_symbols(naming, [spl160])], [avatar_definition])).
% 77.87/15.48  cnf(ssp201, plain, (~spl18 | spl17 | spl146 | spl160 | spl161), inference(avatar_split_clause, [status(thm)], [p2036, sdef17, sdef146, sdef160, sdef161])).
% 77.87/15.48  cnf(p2039, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk1),sk1) | apart_point_and_line(intersection_point(sk2,sk1),X0) | distinct_lines(sk0,X0) | convergent_lines(sk2,sk0) | ~spl18), inference(resolution, [status(thm)], [p270, p138])).
% 77.87/15.48  cnf(ssp202, plain, (~spl18 | spl14 | spl102 | spl153), inference(avatar_split_clause, [status(thm)], [p2039, sdef14, sdef102, sdef153])).
% 77.87/15.48  cnf(p2041, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk1,sk2),sk1) | apart_point_and_line(intersection_point(sk1,sk2),X0) | distinct_lines(sk0,X0) | distinct_lines(sk0,sk2) | ~spl18), inference(resolution, [status(thm)], [p270, p163])).
% 77.87/15.48  cnf(ssp203, plain, (~spl18 | spl98 | spl109 | spl149), inference(avatar_split_clause, [status(thm)], [p2041, sdef98, sdef109, sdef149])).
% 77.87/15.48  cnf(p204, plain, distinct_lines(X0,sk1) | ~apart_point_and_line(intersection_point(sk0,X0),sk0), inference(resolution, [status(thm)], [p194, c8])).
% 77.87/15.48  cnf(p2044, plain, (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(sk0,sk0) | distinct_lines(X0,sk1) | ~spl18), inference(resolution, [status(thm)], [p270, p204])).
% 77.87/15.48  fof(sdef162, definition, (spl162 <=> (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl162])], [avatar_definition])).
% 77.87/15.48  cnf(ssp204, plain, (~spl18 | spl17 | spl146 | spl162), inference(avatar_split_clause, [status(thm)], [p2044, sdef17, sdef146, sdef162])).
% 77.87/15.48  cnf(p2046, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | distinct_lines(sk0,sk0) | ~spl3 | ~spl18), inference(resolution, [status(thm)], [p270, p244])).
% 77.87/15.48  cnf(ssp205, plain, (~spl3 | ~spl18 | spl17 | spl104 | spl146 | spl163), inference(avatar_split_clause, [status(thm)], [p2046, sdef17, sdef104, sdef146, sdef163])).
% 77.87/15.48  cnf(p2048, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0) | ~spl3 | ~spl18), inference(resolution, [status(thm)], [p270, p245])).
% 77.87/15.48  cnf(ssp206, plain, (~spl3 | ~spl18 | spl104 | spl154), inference(avatar_split_clause, [status(thm)], [p2048, sdef104, sdef154])).
% 77.87/15.48  cnf(p2049, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk0),sk1) | apart_point_and_line(intersection_point(sk2,sk0),X0) | distinct_lines(sk0,X0) | ~spl14 | ~spl18), inference(resolution, [status(thm)], [p270, p259])).
% 77.87/15.48  fof(sdef164, definition, (spl164 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk0),X0) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl164])], [avatar_definition])).
% 77.87/15.48  cnf(ssp207, plain, (~spl14 | ~spl18 | spl113 | spl164), inference(avatar_split_clause, [status(thm)], [p2049, sdef113, sdef164])).
% 77.87/15.48  cnf(p2052, plain, (apart_point_and_line(intersection_point(sk2,sk0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk2,sk0),sk1) | distinct_lines(sk0,sk0) | ~spl14 | ~spl18), inference(resolution, [status(thm)], [p270, p260])).
% 77.87/15.48  cnf(ssp208, plain, (~spl14 | ~spl18 | spl17 | spl113 | spl146 | spl165), inference(avatar_split_clause, [status(thm)], [p2052, sdef17, sdef113, sdef146, sdef165])).
% 77.87/15.48  cnf(p307, plain, (~apart_point_and_line(intersection_point(sk0,sk3),sk0) | ~spl20), inference(resolution, [status(thm)], [p284, c8])).
% 77.87/15.48  cnf(p2054, plain, (apart_point_and_line(intersection_point(sk0,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk3),sk1) | distinct_lines(sk0,sk0) | ~spl18 | ~spl20), inference(resolution, [status(thm)], [p270, p307])).
% 77.87/15.48  fof(sdef166, definition, (spl166 <=> (apart_point_and_line(intersection_point(sk0,sk3),sk2))), introduced(definition, [new_symbols(naming, [spl166])], [avatar_definition])).
% 77.87/15.48  fof(sdef167, definition, (spl167 <=> (apart_point_and_line(intersection_point(sk0,sk3),sk1))), introduced(definition, [new_symbols(naming, [spl167])], [avatar_definition])).
% 77.87/15.48  cnf(ssp209, plain, (~spl18 | ~spl20 | spl17 | spl146 | spl166 | spl167), inference(avatar_split_clause, [status(thm)], [p2054, sdef17, sdef146, sdef166, sdef167])).
% 77.87/15.48  cnf(p311, plain, (~apart_point_and_line(intersection_point(sk3,sk1),sk3) | ~spl23), inference(resolution, [status(thm)], [p293, c8])).
% 77.87/15.48  cnf(p2057, plain, (apart_point_and_line(intersection_point(sk3,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk3,sk1),sk1) | distinct_lines(sk0,sk3) | ~spl18 | ~spl23), inference(resolution, [status(thm)], [p270, p311])).
% 77.87/15.48  fof(sdef168, definition, (spl168 <=> (apart_point_and_line(intersection_point(sk3,sk1),sk2))), introduced(definition, [new_symbols(naming, [spl168])], [avatar_definition])).
% 77.87/15.48  cnf(ssp210, plain, (~spl18 | ~spl23 | spl1 | spl148 | spl168 | spl169), inference(avatar_split_clause, [status(thm)], [p2057, sdef1, sdef148, sdef168, sdef169])).
% 77.87/15.48  cnf(p316, plain, (~apart_point_and_line(intersection_point(sk1,sk3),sk3) | ~spl28), inference(resolution, [status(thm)], [p303, c9])).
% 77.87/15.48  cnf(p2060, plain, (apart_point_and_line(intersection_point(sk1,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk1,sk3),sk1) | distinct_lines(sk0,sk3) | ~spl18 | ~spl28), inference(resolution, [status(thm)], [p270, p316])).
% 77.87/15.48  fof(sdef170, definition, (spl170 <=> (apart_point_and_line(intersection_point(sk1,sk3),sk2))), introduced(definition, [new_symbols(naming, [spl170])], [avatar_definition])).
% 77.87/15.48  cnf(ssp211, plain, (~spl18 | ~spl28 | spl1 | spl148 | spl170 | spl171), inference(avatar_split_clause, [status(thm)], [p2060, sdef1, sdef148, sdef170, sdef171])).
% 77.87/15.48  cnf(p320, plain, (~apart_point_and_line(intersection_point(sk3,sk0),sk0) | ~spl29), inference(resolution, [status(thm)], [p306, c9])).
% 77.87/15.48  cnf(p2063, plain, (apart_point_and_line(intersection_point(sk3,sk0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk3,sk0),sk1) | distinct_lines(sk0,sk0) | ~spl18 | ~spl29), inference(resolution, [status(thm)], [p270, p320])).
% 77.87/15.48  fof(sdef172, definition, (spl172 <=> (apart_point_and_line(intersection_point(sk3,sk0),sk2))), introduced(definition, [new_symbols(naming, [spl172])], [avatar_definition])).
% 77.87/15.48  fof(sdef173, definition, (spl173 <=> (apart_point_and_line(intersection_point(sk3,sk0),sk1))), introduced(definition, [new_symbols(naming, [spl173])], [avatar_definition])).
% 77.87/15.48  cnf(ssp212, plain, (~spl18 | ~spl29 | spl17 | spl146 | spl172 | spl173), inference(avatar_split_clause, [status(thm)], [p2063, sdef17, sdef146, sdef172, sdef173])).
% 77.87/15.48  cnf(p2066, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | distinct_lines(sk0,sk0) | ~spl11 | ~spl18), inference(resolution, [status(thm)], [p270, p410])).
% 77.87/15.48  cnf(ssp213, plain, (~spl11 | ~spl18 | spl17 | spl104 | spl146 | spl163), inference(avatar_split_clause, [status(thm)], [p2066, sdef17, sdef104, sdef146, sdef163])).
% 77.87/15.48  cnf(p2067, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0) | ~spl11 | ~spl18), inference(resolution, [status(thm)], [p270, p411])).
% 77.87/15.48  cnf(ssp214, plain, (~spl11 | ~spl18 | spl104 | spl154), inference(avatar_split_clause, [status(thm)], [p2067, sdef104, sdef154])).
% 77.87/15.48  cnf(p452, plain, (~apart_point_and_line(intersection_point(sk1,sk3),sk3) | ~spl25), inference(resolution, [status(thm)], [p438, c9])).
% 77.87/15.48  cnf(p2068, plain, (apart_point_and_line(intersection_point(sk1,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk1,sk3),sk1) | distinct_lines(sk0,sk3) | ~spl18 | ~spl25), inference(resolution, [status(thm)], [p270, p452])).
% 77.87/15.48  cnf(ssp215, plain, (~spl18 | ~spl25 | spl1 | spl148 | spl170 | spl171), inference(avatar_split_clause, [status(thm)], [p2068, sdef1, sdef148, sdef170, sdef171])).
% 77.87/15.48  cnf(p473, plain, (~apart_point_and_line(intersection_point(sk0,sk3),sk0) | ~spl26), inference(resolution, [status(thm)], [p454, c8])).
% 77.87/15.48  cnf(p2069, plain, (apart_point_and_line(intersection_point(sk0,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk3),sk1) | distinct_lines(sk0,sk0) | ~spl18 | ~spl26), inference(resolution, [status(thm)], [p270, p473])).
% 77.87/15.48  cnf(ssp216, plain, (~spl18 | ~spl26 | spl17 | spl146 | spl166 | spl167), inference(avatar_split_clause, [status(thm)], [p2069, sdef17, sdef146, sdef166, sdef167])).
% 77.87/15.48  cnf(p501, plain, (~apart_point_and_line(intersection_point(sk1,sk3),sk3) | ~spl23), inference(resolution, [status(thm)], [p495, c9])).
% 77.87/15.48  cnf(p2070, plain, (apart_point_and_line(intersection_point(sk1,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk1,sk3),sk1) | distinct_lines(sk0,sk3) | ~spl18 | ~spl23), inference(resolution, [status(thm)], [p270, p501])).
% 77.87/15.48  cnf(ssp217, plain, (~spl18 | ~spl23 | spl1 | spl148 | spl170 | spl171), inference(avatar_split_clause, [status(thm)], [p2070, sdef1, sdef148, sdef170, sdef171])).
% 77.87/15.48  cnf(p551, plain, (~apart_point_and_line(intersection_point(sk0,sk3),sk0) | ~spl29), inference(resolution, [status(thm)], [p536, c8])).
% 77.87/15.48  cnf(p2071, plain, (apart_point_and_line(intersection_point(sk0,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk3),sk1) | distinct_lines(sk0,sk0) | ~spl18 | ~spl29), inference(resolution, [status(thm)], [p270, p551])).
% 77.87/15.48  cnf(ssp218, plain, (~spl18 | ~spl29 | spl17 | spl146 | spl166 | spl167), inference(avatar_split_clause, [status(thm)], [p2071, sdef17, sdef146, sdef166, sdef167])).
% 77.87/15.48  cnf(p84, plain, convergent_lines(sk2,X0) | convergent_lines(X0,X1) | ~apart_point_and_line(intersection_point(sk3,X1),sk3), inference(resolution, [status(thm)], [p32, c8])).
% 77.87/15.48  cnf(p2073, plain, (apart_point_and_line(intersection_point(sk3,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk3,X0),sk1) | distinct_lines(sk0,sk3) | convergent_lines(sk2,X1) | convergent_lines(X1,X0) | ~spl18), inference(resolution, [status(thm)], [p270, p84])).
% 77.87/15.48  fof(sdef174, definition, (spl174 <=> (apart_point_and_line(intersection_point(sk3,X0),sk2) | apart_point_and_line(intersection_point(sk3,X0),sk1) | convergent_lines(sk2,X1) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl174])], [avatar_definition])).
% 77.87/15.48  cnf(ssp219, plain, (~spl18 | spl1 | spl148 | spl174), inference(avatar_split_clause, [status(thm)], [p2073, sdef1, sdef148, sdef174])).
% 77.87/15.48  cnf(p2075, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,X1),sk1) | apart_point_and_line(intersection_point(sk2,X1),X0) | distinct_lines(sk0,X0) | convergent_lines(sk2,sk2) | convergent_lines(sk3,X1) | ~spl18), inference(resolution, [status(thm)], [p270, p85])).
% 77.87/15.48  fof(sdef175, definition, (spl175 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,X1),sk1) | apart_point_and_line(intersection_point(sk2,X1),X0) | distinct_lines(sk0,X0) | convergent_lines(sk3,X1))), introduced(definition, [new_symbols(naming, [spl175])], [avatar_definition])).
% 77.87/15.48  cnf(ssp220, plain, (~spl18 | spl5 | spl175), inference(avatar_split_clause, [status(thm)], [p2075, sdef5, sdef175])).
% 77.87/15.48  cnf(p2079, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk3,sk2),sk1) | apart_point_and_line(intersection_point(sk3,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk2,X1) | convergent_lines(X1,sk2) | ~spl18), inference(resolution, [status(thm)], [p270, p87])).
% 77.87/15.48  cnf(ssp221, plain, (~spl18 | spl44 | spl100 | spl151), inference(avatar_split_clause, [status(thm)], [p2079, sdef44, sdef100, sdef151])).
% 77.87/15.48  cnf(p2082, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0) | distinct_lines(sk2,sk1) | ~spl18), inference(resolution, [status(thm)], [p270, p205])).
% 77.87/15.48  cnf(ssp222, plain, (~spl18 | spl104 | spl111 | spl154), inference(avatar_split_clause, [status(thm)], [p2082, sdef104, sdef111, sdef154])).
% 77.87/15.48  cnf(p402, plain, (convergent_lines(X0,sk2) | ~apart_point_and_line(intersection_point(sk0,X0),sk0) | ~spl11), inference(resolution, [status(thm)], [p237, c8])).
% 77.87/15.48  cnf(p2083, plain, (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(sk0,sk0) | convergent_lines(X0,sk2) | ~spl11 | ~spl18), inference(resolution, [status(thm)], [p270, p402])).
% 77.87/15.48  fof(sdef176, definition, (spl176 <=> (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,X0),sk1) | convergent_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl176])], [avatar_definition])).
% 77.87/15.48  cnf(ssp223, plain, (~spl11 | ~spl18 | spl17 | spl146 | spl176), inference(avatar_split_clause, [status(thm)], [p2083, sdef17, sdef146, sdef176])).
% 77.87/15.48  cnf(p247, plain, (distinct_lines(sk2,X0) | convergent_lines(sk0,X0) | ~spl3), inference(resolution, [status(thm)], [p218, c13])).
% 77.87/15.48  cnf(p433, plain, (distinct_lines(sk2,X0) | ~apart_point_and_line(intersection_point(sk0,X0),sk0) | ~spl3), inference(resolution, [status(thm)], [p247, c8])).
% 77.87/15.48  cnf(p2090, plain, (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(sk0,sk0) | distinct_lines(sk2,X0) | ~spl3 | ~spl18), inference(resolution, [status(thm)], [p270, p433])).
% 77.87/15.48  fof(sdef177, definition, (spl177 <=> (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl177])], [avatar_definition])).
% 77.87/15.48  cnf(ssp224, plain, (~spl3 | ~spl18 | spl17 | spl146 | spl177), inference(avatar_split_clause, [status(thm)], [p2090, sdef17, sdef146, sdef177])).
% 77.87/15.48  cnf(p844, plain, ~apart_point_and_line(intersection_point(sk3,sk2),sk3), inference(resolution, [status(thm)], [p840, c8])).
% 77.87/15.48  cnf(p2092, plain, (apart_point_and_line(intersection_point(sk3,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk3,sk2),sk1) | distinct_lines(sk0,sk3) | ~spl18), inference(resolution, [status(thm)], [p270, p844])).
% 77.87/15.48  cnf(ssp225, plain, (~spl18 | spl1 | spl100 | spl148 | spl178), inference(avatar_split_clause, [status(thm)], [p2092, sdef1, sdef100, sdef148, sdef178])).
% 77.87/15.48  cnf(p2094, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk3,sk2),sk1) | apart_point_and_line(intersection_point(sk3,sk2),X0) | distinct_lines(sk0,X0) | ~spl18), inference(resolution, [status(thm)], [p270, p845])).
% 77.87/15.48  cnf(ssp226, plain, (~spl18 | spl100 | spl151), inference(avatar_split_clause, [status(thm)], [p2094, sdef100, sdef151])).
% 77.87/15.48  cnf(p366, plain, distinct_lines(sk2,X0) | convergent_lines(sk3,X0), inference(resolution, [status(thm)], [p68, c2])).
% 77.87/15.48  cnf(p595, plain, distinct_lines(sk2,X0) | ~apart_point_and_line(intersection_point(sk3,X0),sk3), inference(resolution, [status(thm)], [p366, c8])).
% 77.87/15.48  cnf(p2097, plain, (apart_point_and_line(intersection_point(sk3,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk3,X0),sk1) | distinct_lines(sk0,sk3) | distinct_lines(sk2,X0) | ~spl18), inference(resolution, [status(thm)], [p270, p595])).
% 77.87/15.48  fof(sdef179, definition, (spl179 <=> (apart_point_and_line(intersection_point(sk3,X0),sk2) | apart_point_and_line(intersection_point(sk3,X0),sk1) | distinct_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl179])], [avatar_definition])).
% 77.87/15.48  cnf(ssp227, plain, (~spl18 | spl1 | spl148 | spl179), inference(avatar_split_clause, [status(thm)], [p2097, sdef1, sdef148, sdef179])).
% 77.87/15.48  cnf(p413, plain, (distinct_lines(sk2,X0) | convergent_lines(sk0,X0) | ~spl11), inference(resolution, [status(thm)], [p401, c13])).
% 77.87/15.48  cnf(p609, plain, (distinct_lines(sk2,X0) | ~apart_point_and_line(intersection_point(sk0,X0),sk0) | ~spl11), inference(resolution, [status(thm)], [p413, c8])).
% 77.87/15.48  cnf(p2102, plain, (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(sk0,sk0) | distinct_lines(sk2,X0) | ~spl11 | ~spl18), inference(resolution, [status(thm)], [p270, p609])).
% 77.87/15.48  cnf(ssp228, plain, (~spl11 | ~spl18 | spl17 | spl146 | spl177), inference(avatar_split_clause, [status(thm)], [p2102, sdef17, sdef146, sdef177])).
% 77.87/15.48  cnf(p2103, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk1),sk1) | apart_point_and_line(intersection_point(sk2,sk1),X0) | distinct_lines(sk0,X0) | distinct_lines(sk2,sk0) | ~spl18), inference(resolution, [status(thm)], [p270, p626])).
% 77.87/15.48  cnf(ssp229, plain, (~spl18 | spl102 | spl112 | spl153), inference(avatar_split_clause, [status(thm)], [p2103, sdef102, sdef112, sdef153])).
% 77.87/15.48  cnf(p2105, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk0),sk1) | apart_point_and_line(intersection_point(sk2,sk0),X0) | distinct_lines(sk0,X0) | distinct_lines(sk1,sk2) | ~spl18), inference(resolution, [status(thm)], [p270, p710])).
% 77.87/15.48  cnf(ssp230, plain, (~spl18 | spl107 | spl113 | spl164), inference(avatar_split_clause, [status(thm)], [p2105, sdef107, sdef113, sdef164])).
% 77.87/15.48  cnf(p711, plain, distinct_lines(sk1,X0) | ~apart_point_and_line(intersection_point(X0,sk0),sk0), inference(resolution, [status(thm)], [p517, c9])).
% 77.87/15.48  cnf(p2106, plain, (apart_point_and_line(intersection_point(X0,sk0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(X0,sk0),sk1) | distinct_lines(sk0,sk0) | distinct_lines(sk1,X0) | ~spl18), inference(resolution, [status(thm)], [p270, p711])).
% 77.87/15.48  fof(sdef180, definition, (spl180 <=> (apart_point_and_line(intersection_point(X0,sk0),sk2) | apart_point_and_line(intersection_point(X0,sk0),sk1) | distinct_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl180])], [avatar_definition])).
% 77.87/15.48  cnf(ssp231, plain, (~spl18 | spl17 | spl146 | spl180), inference(avatar_split_clause, [status(thm)], [p2106, sdef17, sdef146, sdef180])).
% 77.87/15.48  cnf(p2108, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk1),sk1) | apart_point_and_line(intersection_point(sk2,sk1),X0) | distinct_lines(sk0,X0) | convergent_lines(sk0,X1) | convergent_lines(sk2,X1) | ~spl18), inference(resolution, [status(thm)], [p270, p126])).
% 77.87/15.48  cnf(ssp232, plain, (~spl18 | spl64 | spl102 | spl153), inference(avatar_split_clause, [status(thm)], [p2108, sdef64, sdef102, sdef153])).
% 77.87/15.48  cnf(p900, plain, (~apart_point_and_line(intersection_point(sk0,sk2),sk0) | ~spl64), inference(resolution, [status(thm)], [p895, c8])).
% 77.87/15.48  cnf(p2110, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | distinct_lines(sk0,sk0) | ~spl18 | ~spl64), inference(resolution, [status(thm)], [p270, p900])).
% 77.87/15.48  cnf(ssp233, plain, (~spl18 | ~spl64 | spl17 | spl104 | spl146 | spl163), inference(avatar_split_clause, [status(thm)], [p2110, sdef17, sdef104, sdef146, sdef163])).
% 77.87/15.48  cnf(p2111, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0) | ~spl18 | ~spl64), inference(resolution, [status(thm)], [p270, p901])).
% 77.87/15.48  cnf(ssp234, plain, (~spl18 | ~spl64 | spl104 | spl154), inference(avatar_split_clause, [status(thm)], [p2111, sdef104, sdef154])).
% 77.87/15.48  cnf(p127, plain, convergent_lines(X0,sk1) | convergent_lines(X0,X1) | ~apart_point_and_line(intersection_point(sk0,X1),sk0), inference(resolution, [status(thm)], [p47, c8])).
% 77.87/15.48  cnf(p2112, plain, (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(sk0,sk0) | convergent_lines(X1,sk1) | convergent_lines(X1,X0) | ~spl18), inference(resolution, [status(thm)], [p270, p127])).
% 77.87/15.48  fof(sdef181, definition, (spl181 <=> (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,X0),sk1) | convergent_lines(X1,sk1) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl181])], [avatar_definition])).
% 77.87/15.48  cnf(ssp235, plain, (~spl18 | spl17 | spl146 | spl181), inference(avatar_split_clause, [status(thm)], [p2112, sdef17, sdef146, sdef181])).
% 77.87/15.48  cnf(p2114, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,X1),sk1) | apart_point_and_line(intersection_point(sk2,X1),X0) | distinct_lines(sk0,X0) | convergent_lines(sk2,sk1) | convergent_lines(sk0,X1) | ~spl18), inference(resolution, [status(thm)], [p270, p128])).
% 77.87/15.48  fof(sdef182, definition, (spl182 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,X1),sk1) | apart_point_and_line(intersection_point(sk2,X1),X0) | distinct_lines(sk0,X0) | convergent_lines(sk0,X1))), introduced(definition, [new_symbols(naming, [spl182])], [avatar_definition])).
% 77.87/15.48  cnf(ssp236, plain, (~spl18 | spl8 | spl182), inference(avatar_split_clause, [status(thm)], [p2114, sdef8, sdef182])).
% 77.87/15.48  cnf(p842, plain, convergent_lines(X0,sk2) | ~apart_point_and_line(intersection_point(X0,sk3),sk3), inference(resolution, [status(thm)], [p828, c9])).
% 77.87/15.48  cnf(p2119, plain, (apart_point_and_line(intersection_point(X0,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(X0,sk3),sk1) | distinct_lines(sk0,sk3) | convergent_lines(X0,sk2) | ~spl18), inference(resolution, [status(thm)], [p270, p842])).
% 77.87/15.48  fof(sdef183, definition, (spl183 <=> (apart_point_and_line(intersection_point(X0,sk3),sk2) | apart_point_and_line(intersection_point(X0,sk3),sk1) | convergent_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl183])], [avatar_definition])).
% 77.87/15.48  cnf(ssp237, plain, (~spl18 | spl1 | spl148 | spl183), inference(avatar_split_clause, [status(thm)], [p2119, sdef1, sdef148, sdef183])).
% 77.87/15.48  cnf(p109, plain, convergent_lines(X0,sk3) | distinct_lines(X0,X1) | convergent_lines(sk2,X1), inference(resolution, [status(thm)], [p82, c13])).
% 77.87/15.48  cnf(p848, plain, convergent_lines(X0,sk3) | distinct_lines(X0,sk2), inference(resolution, [status(thm)], [p109, c2])).
% 77.87/15.48  cnf(p859, plain, distinct_lines(X0,sk2) | ~apart_point_and_line(intersection_point(X0,sk3),sk3), inference(resolution, [status(thm)], [p848, c9])).
% 77.87/15.48  cnf(p2122, plain, (apart_point_and_line(intersection_point(X0,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(X0,sk3),sk1) | distinct_lines(sk0,sk3) | distinct_lines(X0,sk2) | ~spl18), inference(resolution, [status(thm)], [p270, p859])).
% 77.87/15.48  fof(sdef184, definition, (spl184 <=> (apart_point_and_line(intersection_point(X0,sk3),sk2) | apart_point_and_line(intersection_point(X0,sk3),sk1) | distinct_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl184])], [avatar_definition])).
% 77.87/15.48  cnf(ssp238, plain, (~spl18 | spl1 | spl148 | spl184), inference(avatar_split_clause, [status(thm)], [p2122, sdef1, sdef148, sdef184])).
% 77.87/15.48  cnf(p2126, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(X1,sk1) | convergent_lines(X1,sk2) | ~spl18), inference(resolution, [status(thm)], [p270, p130])).
% 77.87/15.48  cnf(ssp239, plain, (~spl18 | spl67 | spl104 | spl154), inference(avatar_split_clause, [status(thm)], [p2126, sdef67, sdef104, sdef154])).
% 77.87/15.48  cnf(p2127, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(X1,sk2),sk1) | apart_point_and_line(intersection_point(X1,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(X1,sk1) | convergent_lines(sk0,sk2) | ~spl18), inference(resolution, [status(thm)], [p270, p131])).
% 77.87/15.48  fof(sdef185, definition, (spl185 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(X1,sk2),sk1) | apart_point_and_line(intersection_point(X1,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(X1,sk1))), introduced(definition, [new_symbols(naming, [spl185])], [avatar_definition])).
% 77.87/15.48  cnf(ssp240, plain, (~spl18 | spl3 | spl185), inference(avatar_split_clause, [status(thm)], [p2127, sdef3, sdef185])).
% 77.87/15.48  cnf(p902, plain, (distinct_lines(sk2,X0) | convergent_lines(sk0,X0) | ~spl64), inference(resolution, [status(thm)], [p895, c13])).
% 77.87/15.48  cnf(p906, plain, (distinct_lines(sk2,X0) | ~apart_point_and_line(intersection_point(sk0,X0),sk0) | ~spl64), inference(resolution, [status(thm)], [p902, c8])).
% 77.87/15.48  cnf(p2130, plain, (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(sk0,sk0) | distinct_lines(sk2,X0) | ~spl18 | ~spl64), inference(resolution, [status(thm)], [p270, p906])).
% 77.87/15.48  cnf(ssp241, plain, (~spl18 | ~spl64 | spl17 | spl146 | spl177), inference(avatar_split_clause, [status(thm)], [p2130, sdef17, sdef146, sdef177])).
% 77.87/15.48  cnf(p2131, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk0),sk1) | apart_point_and_line(intersection_point(sk2,sk0),X0) | distinct_lines(sk0,X0) | convergent_lines(sk1,sk2) | ~spl18), inference(resolution, [status(thm)], [p270, p1047])).
% 77.87/15.48  cnf(ssp242, plain, (~spl18 | spl13 | spl113 | spl164), inference(avatar_split_clause, [status(thm)], [p2131, sdef13, sdef113, sdef164])).
% 77.87/15.48  cnf(p1049, plain, convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(X0,sk0),sk0), inference(resolution, [status(thm)], [p1025, c9])).
% 77.87/15.48  cnf(p2132, plain, (apart_point_and_line(intersection_point(X0,sk0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(X0,sk0),sk1) | distinct_lines(sk0,sk0) | convergent_lines(sk1,X0) | ~spl18), inference(resolution, [status(thm)], [p270, p1049])).
% 77.87/15.48  fof(sdef186, definition, (spl186 <=> (apart_point_and_line(intersection_point(X0,sk0),sk2) | apart_point_and_line(intersection_point(X0,sk0),sk1) | convergent_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl186])], [avatar_definition])).
% 77.87/15.48  cnf(ssp243, plain, (~spl18 | spl17 | spl146 | spl186), inference(avatar_split_clause, [status(thm)], [p2132, sdef17, sdef146, sdef186])).
% 77.87/15.48  cnf(p2134, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk1,sk2),sk1) | apart_point_and_line(intersection_point(sk1,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk2,sk0) | ~spl18), inference(resolution, [status(thm)], [p270, p1050])).
% 77.87/15.48  cnf(ssp244, plain, (~spl18 | spl14 | spl98 | spl149), inference(avatar_split_clause, [status(thm)], [p2134, sdef14, sdef98, sdef149])).
% 77.87/15.48  cnf(p2136, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk1),sk1) | apart_point_and_line(intersection_point(sk2,sk1),X0) | distinct_lines(sk0,X0) | distinct_lines(sk0,sk2) | ~spl18), inference(resolution, [status(thm)], [p270, p1083])).
% 77.87/15.48  cnf(ssp245, plain, (~spl18 | spl102 | spl109 | spl153), inference(avatar_split_clause, [status(thm)], [p2136, sdef102, sdef109, sdef153])).
% 77.87/15.48  cnf(p2138, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,X1),sk1) | apart_point_and_line(intersection_point(sk2,X1),X0) | distinct_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(sk0,X2) | convergent_lines(sk2,X2) | ~spl18), inference(resolution, [status(thm)], [p270, p147])).
% 77.87/15.48  cnf(ssp246, plain, (~spl18 | spl64 | spl156), inference(avatar_split_clause, [status(thm)], [p2138, sdef64, sdef156])).
% 77.87/15.48  cnf(p2140, plain, (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(sk0,sk0) | convergent_lines(sk1,X1) | convergent_lines(X2,X1) | convergent_lines(X2,X0) | ~spl18), inference(resolution, [status(thm)], [p270, p148])).
% 77.87/15.48  fof(sdef187, definition, (spl187 <=> (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,X0),sk1) | convergent_lines(sk1,X1) | convergent_lines(X2,X1) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl187])], [avatar_definition])).
% 77.87/15.48  cnf(ssp247, plain, (~spl18 | spl17 | spl146 | spl187), inference(avatar_split_clause, [status(thm)], [p2140, sdef17, sdef146, sdef187])).
% 77.87/15.48  cnf(p2142, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,X1),sk1) | apart_point_and_line(intersection_point(sk2,X1),X0) | distinct_lines(sk0,X0) | convergent_lines(sk1,X2) | convergent_lines(sk2,X2) | convergent_lines(sk0,X1) | ~spl18), inference(resolution, [status(thm)], [p270, p149])).
% 77.87/15.48  cnf(ssp248, plain, (~spl18 | spl10 | spl182), inference(avatar_split_clause, [status(thm)], [p2142, sdef10, sdef182])).
% 77.87/15.48  cnf(p439, plain, (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(sk3,X0),sk3) | ~spl25), inference(resolution, [status(thm)], [p298, c8])).
% 77.87/15.48  cnf(p2143, plain, (apart_point_and_line(intersection_point(sk3,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk3,X0),sk1) | distinct_lines(sk0,sk3) | convergent_lines(sk1,X0) | ~spl18 | ~spl25), inference(resolution, [status(thm)], [p270, p439])).
% 77.87/15.48  fof(sdef188, definition, (spl188 <=> (apart_point_and_line(intersection_point(sk3,X0),sk2) | apart_point_and_line(intersection_point(sk3,X0),sk1) | convergent_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl188])], [avatar_definition])).
% 77.87/15.48  cnf(ssp249, plain, (~spl18 | ~spl25 | spl1 | spl148 | spl188), inference(avatar_split_clause, [status(thm)], [p2143, sdef1, sdef148, sdef188])).
% 77.87/15.48  cnf(p455, plain, (convergent_lines(X0,sk3) | ~apart_point_and_line(intersection_point(sk0,X0),sk0) | ~spl26), inference(resolution, [status(thm)], [p300, c8])).
% 77.87/15.48  cnf(p2145, plain, (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(sk0,sk0) | convergent_lines(X0,sk3) | ~spl18 | ~spl26), inference(resolution, [status(thm)], [p270, p455])).
% 77.87/15.48  fof(sdef189, definition, (spl189 <=> (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,X0),sk1) | convergent_lines(X0,sk3))), introduced(definition, [new_symbols(naming, [spl189])], [avatar_definition])).
% 77.87/15.48  cnf(ssp250, plain, (~spl18 | ~spl26 | spl17 | spl146 | spl189), inference(avatar_split_clause, [status(thm)], [p2145, sdef17, sdef146, sdef189])).
% 77.87/15.48  cnf(p2147, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk1,sk2),sk1) | apart_point_and_line(intersection_point(sk1,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(X1,sk2) | convergent_lines(sk0,X2) | convergent_lines(X1,X2) | ~spl18), inference(resolution, [status(thm)], [p270, p150])).
% 77.87/15.48  cnf(ssp251, plain, (~spl18 | spl79 | spl98 | spl149), inference(avatar_split_clause, [status(thm)], [p2147, sdef79, sdef98, sdef149])).
% 77.87/15.48  cnf(p2151, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(X1,sk2),sk1) | apart_point_and_line(intersection_point(X1,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk1,sk2) | convergent_lines(sk0,X2) | convergent_lines(X1,X2) | ~spl18), inference(resolution, [status(thm)], [p270, p151])).
% 77.87/15.48  fof(sdef190, definition, (spl190 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(X1,sk2),sk1) | apart_point_and_line(intersection_point(X1,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk0,X2) | convergent_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl190])], [avatar_definition])).
% 77.87/15.48  cnf(ssp252, plain, (~spl18 | spl13 | spl190), inference(avatar_split_clause, [status(thm)], [p2151, sdef13, sdef190])).
% 77.87/15.48  cnf(p488, plain, (distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(sk0,X0),sk0) | ~spl20), inference(resolution, [status(thm)], [p310, c8])).
% 77.87/15.48  cnf(p2154, plain, (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(sk0,sk0) | distinct_lines(sk3,X0) | ~spl18 | ~spl20), inference(resolution, [status(thm)], [p270, p488])).
% 77.87/15.48  fof(sdef191, definition, (spl191 <=> (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(sk3,X0))), introduced(definition, [new_symbols(naming, [spl191])], [avatar_definition])).
% 77.87/15.48  cnf(ssp253, plain, (~spl18 | ~spl20 | spl17 | spl146 | spl191), inference(avatar_split_clause, [status(thm)], [p2154, sdef17, sdef146, sdef191])).
% 77.87/15.48  cnf(p2156, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(X2,X1) | convergent_lines(X2,sk2) | ~spl18), inference(resolution, [status(thm)], [p270, p152])).
% 77.87/15.48  cnf(ssp254, plain, (~spl18 | spl86 | spl104 | spl154), inference(avatar_split_clause, [status(thm)], [p2156, sdef86, sdef104, sdef154])).
% 77.87/15.48  cnf(p496, plain, (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(sk3,X0),sk3) | ~spl23), inference(resolution, [status(thm)], [p313, c8])).
% 77.87/15.48  cnf(p2157, plain, (apart_point_and_line(intersection_point(sk3,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk3,X0),sk1) | distinct_lines(sk0,sk3) | convergent_lines(sk1,X0) | ~spl18 | ~spl23), inference(resolution, [status(thm)], [p270, p496])).
% 77.87/15.48  cnf(ssp255, plain, (~spl18 | ~spl23 | spl1 | spl148 | spl188), inference(avatar_split_clause, [status(thm)], [p2157, sdef1, sdef148, sdef188])).
% 77.87/15.48  cnf(p510, plain, (distinct_lines(sk1,X0) | ~apart_point_and_line(intersection_point(sk3,X0),sk3) | ~spl23), inference(resolution, [status(thm)], [p314, c8])).
% 77.87/15.48  cnf(p2158, plain, (apart_point_and_line(intersection_point(sk3,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk3,X0),sk1) | distinct_lines(sk0,sk3) | distinct_lines(sk1,X0) | ~spl18 | ~spl23), inference(resolution, [status(thm)], [p270, p510])).
% 77.87/15.48  fof(sdef192, definition, (spl192 <=> (apart_point_and_line(intersection_point(sk3,X0),sk2) | apart_point_and_line(intersection_point(sk3,X0),sk1) | distinct_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl192])], [avatar_definition])).
% 77.87/15.48  cnf(ssp256, plain, (~spl18 | ~spl23 | spl1 | spl148 | spl192), inference(avatar_split_clause, [status(thm)], [p2158, sdef1, sdef148, sdef192])).
% 77.87/15.48  cnf(p2160, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(X1,sk2),sk1) | apart_point_and_line(intersection_point(X1,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk1,X2) | convergent_lines(X1,X2) | convergent_lines(sk0,sk2) | ~spl18), inference(resolution, [status(thm)], [p270, p153])).
% 77.87/15.48  fof(sdef193, definition, (spl193 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(X1,sk2),sk1) | apart_point_and_line(intersection_point(X1,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk1,X2) | convergent_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl193])], [avatar_definition])).
% 77.87/15.48  cnf(ssp257, plain, (~spl18 | spl3 | spl193), inference(avatar_split_clause, [status(thm)], [p2160, sdef3, sdef193])).
% 77.87/15.48  cnf(p317, plain, (convergent_lines(sk1,X0) | convergent_lines(sk3,X0) | ~spl28), inference(resolution, [status(thm)], [p303, c5])).
% 77.87/15.48  cnf(p525, plain, (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(sk3,X0),sk3) | ~spl28), inference(resolution, [status(thm)], [p317, c8])).
% 77.87/15.48  cnf(p2163, plain, (apart_point_and_line(intersection_point(sk3,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk3,X0),sk1) | distinct_lines(sk0,sk3) | convergent_lines(sk1,X0) | ~spl18 | ~spl28), inference(resolution, [status(thm)], [p270, p525])).
% 77.87/15.48  cnf(ssp258, plain, (~spl18 | ~spl28 | spl1 | spl148 | spl188), inference(avatar_split_clause, [status(thm)], [p2163, sdef1, sdef148, sdef188])).
% 77.87/15.48  cnf(p659, plain, (distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(sk0,X0),sk0) | ~spl26), inference(resolution, [status(thm)], [p476, c8])).
% 77.87/15.48  cnf(p2169, plain, (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(sk0,sk0) | distinct_lines(sk3,X0) | ~spl18 | ~spl26), inference(resolution, [status(thm)], [p270, p659])).
% 77.87/15.48  cnf(ssp259, plain, (~spl18 | ~spl26 | spl17 | spl146 | spl191), inference(avatar_split_clause, [status(thm)], [p2169, sdef17, sdef146, sdef191])).
% 77.87/15.48  cnf(p737, plain, (distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(sk0,X0),sk0) | ~spl29), inference(resolution, [status(thm)], [p553, c8])).
% 77.87/15.48  cnf(p2171, plain, (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(sk0,sk0) | distinct_lines(sk3,X0) | ~spl18 | ~spl29), inference(resolution, [status(thm)], [p270, p737])).
% 77.87/15.48  cnf(ssp260, plain, (~spl18 | ~spl29 | spl17 | spl146 | spl191), inference(avatar_split_clause, [status(thm)], [p2171, sdef17, sdef146, sdef191])).
% 77.87/15.48  cnf(p1106, plain, (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(sk0,X0),sk0) | ~spl74), inference(avatar_component_clause, [status(thm)], [sdef74])).
% 77.87/15.48  cnf(p2172, plain, (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(sk0,sk0) | convergent_lines(sk1,X0) | ~spl18 | ~spl74), inference(resolution, [status(thm)], [p270, p1106])).
% 77.87/15.48  fof(sdef194, definition, (spl194 <=> (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,X0),sk1) | convergent_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl194])], [avatar_definition])).
% 77.87/15.48  cnf(ssp261, plain, (~spl18 | ~spl74 | spl17 | spl146 | spl194), inference(avatar_split_clause, [status(thm)], [p2172, sdef17, sdef146, sdef194])).
% 77.87/15.48  cnf(p2174, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk1,sk2) | ~spl18 | ~spl82), inference(resolution, [status(thm)], [p270, p1142])).
% 77.87/15.48  cnf(ssp262, plain, (~spl18 | ~spl82 | spl13 | spl104 | spl154), inference(avatar_split_clause, [status(thm)], [p2174, sdef13, sdef104, sdef154])).
% 77.87/15.48  cnf(p2175, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk0),sk1) | apart_point_and_line(intersection_point(sk2,sk0),X0) | distinct_lines(sk0,X0) | distinct_lines(sk2,sk1) | ~spl18), inference(resolution, [status(thm)], [p270, p1311])).
% 77.87/15.48  cnf(ssp263, plain, (~spl18 | spl111 | spl113 | spl164), inference(avatar_split_clause, [status(thm)], [p2175, sdef111, sdef113, sdef164])).
% 77.87/15.48  cnf(p1312, plain, distinct_lines(X0,sk1) | ~apart_point_and_line(intersection_point(X0,sk0),sk0), inference(resolution, [status(thm)], [p1302, c9])).
% 77.87/15.48  cnf(p2176, plain, (apart_point_and_line(intersection_point(X0,sk0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(X0,sk0),sk1) | distinct_lines(sk0,sk0) | distinct_lines(X0,sk1) | ~spl18), inference(resolution, [status(thm)], [p270, p1312])).
% 77.87/15.48  fof(sdef195, definition, (spl195 <=> (apart_point_and_line(intersection_point(X0,sk0),sk2) | apart_point_and_line(intersection_point(X0,sk0),sk1) | distinct_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl195])], [avatar_definition])).
% 77.87/15.48  cnf(ssp264, plain, (~spl18 | spl17 | spl146 | spl195), inference(avatar_split_clause, [status(thm)], [p2176, sdef17, sdef146, sdef195])).
% 77.87/15.48  cnf(p167, plain, convergent_lines(X0,X1) | convergent_lines(sk1,X2) | convergent_lines(X1,X2) | ~apart_point_and_line(intersection_point(sk0,X0),sk0), inference(resolution, [status(thm)], [p41, c8])).
% 77.87/15.48  cnf(p2178, plain, (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(sk0,sk0) | convergent_lines(X0,X1) | convergent_lines(sk1,X2) | convergent_lines(X1,X2) | ~spl18), inference(resolution, [status(thm)], [p270, p167])).
% 77.87/15.48  fof(sdef196, definition, (spl196 <=> (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,X0),sk1) | convergent_lines(X0,X1) | convergent_lines(sk1,X2) | convergent_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl196])], [avatar_definition])).
% 77.87/15.48  cnf(ssp265, plain, (~spl18 | spl17 | spl146 | spl196), inference(avatar_split_clause, [status(thm)], [p2178, sdef17, sdef146, sdef196])).
% 77.87/15.48  cnf(p2180, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,X1),sk1) | apart_point_and_line(intersection_point(sk2,X1),X0) | distinct_lines(sk0,X0) | convergent_lines(sk0,sk2) | convergent_lines(sk1,X2) | convergent_lines(X1,X2) | ~spl18), inference(resolution, [status(thm)], [p270, p168])).
% 77.87/15.48  fof(sdef197, definition, (spl197 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,X1),sk1) | apart_point_and_line(intersection_point(sk2,X1),X0) | distinct_lines(sk0,X0) | convergent_lines(sk1,X2) | convergent_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl197])], [avatar_definition])).
% 77.87/15.48  cnf(ssp266, plain, (~spl18 | spl3 | spl197), inference(avatar_split_clause, [status(thm)], [p2180, sdef3, sdef197])).
% 77.87/15.48  cnf(p2183, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,X1),sk1) | apart_point_and_line(intersection_point(sk2,X1),X0) | distinct_lines(sk0,X0) | convergent_lines(sk0,X2) | convergent_lines(X2,sk2) | convergent_lines(sk1,X1) | ~spl18), inference(resolution, [status(thm)], [p270, p170])).
% 77.87/15.48  cnf(ssp267, plain, (~spl18 | spl11 | spl156), inference(avatar_split_clause, [status(thm)], [p2183, sdef11, sdef156])).
% 77.87/15.48  cnf(p2185, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk2,X1) | convergent_lines(sk1,X2) | convergent_lines(X1,X2) | ~spl18), inference(resolution, [status(thm)], [p270, p171])).
% 77.87/15.48  cnf(ssp268, plain, (~spl18 | spl104 | spl121 | spl154), inference(avatar_split_clause, [status(thm)], [p2185, sdef104, sdef121, sdef154])).
% 77.87/15.48  cnf(p2186, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(X1,sk2),sk1) | apart_point_and_line(intersection_point(X1,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk0,X1) | convergent_lines(sk1,X2) | convergent_lines(sk2,X2) | ~spl18), inference(resolution, [status(thm)], [p270, p172])).
% 77.87/15.48  cnf(ssp269, plain, (~spl18 | spl10 | spl158), inference(avatar_split_clause, [status(thm)], [p2186, sdef10, sdef158])).
% 77.87/15.48  cnf(p2187, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk1,sk2),sk1) | apart_point_and_line(intersection_point(sk1,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk0,X1) | convergent_lines(X1,X2) | convergent_lines(X2,sk2) | ~spl18), inference(resolution, [status(thm)], [p270, p173])).
% 77.87/15.48  cnf(ssp270, plain, (~spl18 | spl98 | spl140 | spl149), inference(avatar_split_clause, [status(thm)], [p2187, sdef98, sdef140, sdef149])).
% 77.87/15.48  cnf(p2189, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(X1,sk2),sk1) | apart_point_and_line(intersection_point(X1,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk0,X2) | convergent_lines(X2,X1) | convergent_lines(sk1,sk2) | ~spl18), inference(resolution, [status(thm)], [p270, p174])).
% 77.87/15.48  fof(sdef198, definition, (spl198 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(X1,sk2),sk1) | apart_point_and_line(intersection_point(X1,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk0,X2) | convergent_lines(X2,X1))), introduced(definition, [new_symbols(naming, [spl198])], [avatar_definition])).
% 77.87/15.48  cnf(ssp271, plain, (~spl18 | spl13 | spl198), inference(avatar_split_clause, [status(thm)], [p2189, sdef13, sdef198])).
% 77.87/15.48  cnf(p181, plain, convergent_lines(sk1,X0) | convergent_lines(X1,X2) | convergent_lines(X0,X2) | ~apart_point_and_line(intersection_point(sk0,X1),sk0), inference(resolution, [status(thm)], [p42, c8])).
% 77.87/15.48  cnf(p2191, plain, (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(sk0,sk0) | convergent_lines(sk1,X1) | convergent_lines(X0,X2) | convergent_lines(X1,X2) | ~spl18), inference(resolution, [status(thm)], [p270, p181])).
% 77.87/15.48  fof(sdef199, definition, (spl199 <=> (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,X0),sk1) | convergent_lines(sk1,X1) | convergent_lines(X0,X2) | convergent_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl199])], [avatar_definition])).
% 77.87/15.48  cnf(ssp272, plain, (~spl18 | spl17 | spl146 | spl199), inference(avatar_split_clause, [status(thm)], [p2191, sdef17, sdef146, sdef199])).
% 77.87/15.48  cnf(p2193, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,X1),sk1) | apart_point_and_line(intersection_point(sk2,X1),X0) | distinct_lines(sk0,X0) | convergent_lines(sk0,sk2) | convergent_lines(sk1,X2) | convergent_lines(X2,X1) | ~spl18), inference(resolution, [status(thm)], [p270, p183])).
% 77.87/15.48  fof(sdef200, definition, (spl200 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,X1),sk1) | apart_point_and_line(intersection_point(sk2,X1),X0) | distinct_lines(sk0,X0) | convergent_lines(sk1,X2) | convergent_lines(X2,X1))), introduced(definition, [new_symbols(naming, [spl200])], [avatar_definition])).
% 77.87/15.48  cnf(ssp273, plain, (~spl18 | spl3 | spl200), inference(avatar_split_clause, [status(thm)], [p2193, sdef3, sdef200])).
% 77.87/15.48  cnf(p2196, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,X1),sk1) | apart_point_and_line(intersection_point(sk2,X1),X0) | distinct_lines(sk0,X0) | convergent_lines(sk0,X2) | convergent_lines(sk1,sk2) | convergent_lines(X2,X1) | ~spl18), inference(resolution, [status(thm)], [p270, p184])).
% 77.87/15.48  fof(sdef201, definition, (spl201 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,X1),sk1) | apart_point_and_line(intersection_point(sk2,X1),X0) | distinct_lines(sk0,X0) | convergent_lines(sk0,X2) | convergent_lines(X2,X1))), introduced(definition, [new_symbols(naming, [spl201])], [avatar_definition])).
% 77.87/15.48  cnf(ssp274, plain, (~spl18 | spl13 | spl201), inference(avatar_split_clause, [status(thm)], [p2196, sdef13, sdef201])).
% 77.87/15.48  cnf(p2198, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(sk2,X2) | convergent_lines(X1,X2) | ~spl18), inference(resolution, [status(thm)], [p270, p185])).
% 77.87/15.48  fof(sdef202, definition, (spl202 <=> (convergent_lines(sk1,X0) | convergent_lines(sk2,X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl202])], [avatar_definition])).
% 77.87/15.48  cnf(ssp275, plain, (~spl18 | spl104 | spl154 | spl202), inference(avatar_split_clause, [status(thm)], [p2198, sdef104, sdef154, sdef202])).
% 77.87/15.48  cnf(p2200, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk1,sk2),sk1) | apart_point_and_line(intersection_point(sk1,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk0,X1) | convergent_lines(X1,X2) | convergent_lines(sk2,X2) | ~spl18), inference(resolution, [status(thm)], [p270, p186])).
% 77.87/15.48  cnf(ssp276, plain, (~spl18 | spl98 | spl141 | spl149), inference(avatar_split_clause, [status(thm)], [p2200, sdef98, sdef141, sdef149])).
% 77.87/15.48  cnf(p27, plain, convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk1,X0),sk1), inference(resolution, [status(thm)], [p25, c8])).
% 77.87/15.48  cnf(p1492, plain, (convergent_lines(sk0,sk2) | ~spl98), inference(resolution, [status(thm)], [p1404, p27])).
% 77.87/15.48  cnf(p1522, plain, (~apart_point_and_line(intersection_point(sk0,sk2),sk0) | ~spl98), inference(resolution, [status(thm)], [p1492, c8])).
% 77.87/15.48  cnf(p2202, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | distinct_lines(sk0,sk0) | ~spl18 | ~spl98), inference(resolution, [status(thm)], [p270, p1522])).
% 77.87/15.48  cnf(ssp277, plain, (~spl18 | ~spl98 | spl17 | spl104 | spl146 | spl163), inference(avatar_split_clause, [status(thm)], [p2202, sdef17, sdef104, sdef146, sdef163])).
% 77.87/15.48  cnf(p1523, plain, (~apart_point_and_line(intersection_point(sk0,sk2),sk2) | ~spl98), inference(resolution, [status(thm)], [p1492, c9])).
% 77.87/15.48  cnf(p2203, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0) | ~spl18 | ~spl98), inference(resolution, [status(thm)], [p270, p1523])).
% 77.87/15.48  cnf(ssp278, plain, (~spl18 | ~spl98 | spl104 | spl154), inference(avatar_split_clause, [status(thm)], [p2203, sdef104, sdef154])).
% 77.87/15.48  cnf(p1048, plain, convergent_lines(X0,sk0) | ~apart_point_and_line(intersection_point(sk1,X0),sk1), inference(resolution, [status(thm)], [p1025, c8])).
% 77.87/15.48  cnf(p1501, plain, (convergent_lines(sk2,sk0) | ~spl98), inference(resolution, [status(thm)], [p1404, p1048])).
% 77.87/15.48  cnf(p1528, plain, (~apart_point_and_line(intersection_point(sk2,sk0),sk2) | ~spl98), inference(resolution, [status(thm)], [p1501, c8])).
% 77.87/15.48  cnf(p2204, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk0),sk1) | apart_point_and_line(intersection_point(sk2,sk0),X0) | distinct_lines(sk0,X0) | ~spl18 | ~spl98), inference(resolution, [status(thm)], [p270, p1528])).
% 77.87/15.48  cnf(ssp279, plain, (~spl18 | ~spl98 | spl113 | spl164), inference(avatar_split_clause, [status(thm)], [p2204, sdef113, sdef164])).
% 77.87/15.48  cnf(p1529, plain, (~apart_point_and_line(intersection_point(sk2,sk0),sk0) | ~spl98), inference(resolution, [status(thm)], [p1501, c9])).
% 77.87/15.48  cnf(p2205, plain, (apart_point_and_line(intersection_point(sk2,sk0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk2,sk0),sk1) | distinct_lines(sk0,sk0) | ~spl18 | ~spl98), inference(resolution, [status(thm)], [p270, p1529])).
% 77.87/15.48  cnf(ssp280, plain, (~spl18 | ~spl98 | spl17 | spl113 | spl146 | spl165), inference(avatar_split_clause, [status(thm)], [p2205, sdef17, sdef113, sdef146, sdef165])).
% 77.87/15.48  cnf(p2206, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(X1,sk2),sk1) | apart_point_and_line(intersection_point(X1,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk0,X1) | convergent_lines(sk1,X2) | convergent_lines(X2,sk2) | ~spl18), inference(resolution, [status(thm)], [p270, p187])).
% 77.87/15.48  cnf(ssp281, plain, (~spl18 | spl158 | spl203), inference(avatar_split_clause, [status(thm)], [p2206, sdef158, sdef203])).
% 77.87/15.48  cnf(p46, plain, convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(X0,sk1),sk1), inference(resolution, [status(thm)], [p33, c9])).
% 77.87/15.48  cnf(p1554, plain, (convergent_lines(sk0,sk2) | ~spl102), inference(resolution, [status(thm)], [p1411, p46])).
% 77.87/15.48  cnf(p1583, plain, (~apart_point_and_line(intersection_point(sk0,sk2),sk0) | ~spl102), inference(resolution, [status(thm)], [p1554, c8])).
% 77.87/15.48  cnf(p2208, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | distinct_lines(sk0,sk0) | ~spl18 | ~spl102), inference(resolution, [status(thm)], [p270, p1583])).
% 77.87/15.48  cnf(ssp282, plain, (~spl18 | ~spl102 | spl17 | spl104 | spl146 | spl163), inference(avatar_split_clause, [status(thm)], [p2208, sdef17, sdef104, sdef146, sdef163])).
% 77.87/15.48  cnf(p1584, plain, (~apart_point_and_line(intersection_point(sk0,sk2),sk2) | ~spl102), inference(resolution, [status(thm)], [p1554, c9])).
% 77.87/15.48  cnf(p2209, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0) | ~spl18 | ~spl102), inference(resolution, [status(thm)], [p270, p1584])).
% 77.87/15.48  cnf(ssp283, plain, (~spl18 | ~spl102 | spl104 | spl154), inference(avatar_split_clause, [status(thm)], [p2209, sdef104, sdef154])).
% 77.87/15.48  cnf(p106, plain, convergent_lines(X0,sk3) | ~apart_point_and_line(intersection_point(sk2,X0),X0), inference(resolution, [status(thm)], [p82, c9])).
% 77.87/15.48  cnf(p1557, plain, (convergent_lines(sk1,sk3) | ~spl102), inference(resolution, [status(thm)], [p1411, p106])).
% 77.87/15.48  cnf(p1588, plain, (~apart_point_and_line(intersection_point(sk1,sk3),sk3) | ~spl102), inference(resolution, [status(thm)], [p1557, c9])).
% 77.87/15.48  cnf(p2210, plain, (apart_point_and_line(intersection_point(sk1,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk1,sk3),sk1) | distinct_lines(sk0,sk3) | ~spl18 | ~spl102), inference(resolution, [status(thm)], [p270, p1588])).
% 77.87/15.48  cnf(ssp284, plain, (~spl18 | ~spl102 | spl1 | spl148 | spl170 | spl171), inference(avatar_split_clause, [status(thm)], [p2210, sdef1, sdef148, sdef170, sdef171])).
% 77.87/15.48  cnf(p2211, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(X1,sk2),sk1) | apart_point_and_line(intersection_point(X1,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk0,X2) | convergent_lines(sk1,X1) | convergent_lines(X2,sk2) | ~spl18), inference(resolution, [status(thm)], [p270, p188])).
% 77.87/15.48  fof(sdef204, definition, (spl204 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(X1,sk2),sk1) | apart_point_and_line(intersection_point(X1,sk2),X0) | distinct_lines(sk0,X0) | convergent_lines(sk1,X1))), introduced(definition, [new_symbols(naming, [spl204])], [avatar_definition])).
% 77.87/15.48  cnf(ssp285, plain, (~spl18 | spl11 | spl204), inference(avatar_split_clause, [status(thm)], [p2211, sdef11, sdef204])).
% 77.87/15.48  cnf(p139, plain, convergent_lines(X0,sk0) | ~apart_point_and_line(intersection_point(X0,sk1),sk1), inference(resolution, [status(thm)], [p125, c9])).
% 77.87/15.48  cnf(p1558, plain, (convergent_lines(sk2,sk0) | ~spl102), inference(resolution, [status(thm)], [p1411, p139])).
% 77.87/15.48  cnf(p1590, plain, (~apart_point_and_line(intersection_point(sk2,sk0),sk2) | ~spl102), inference(resolution, [status(thm)], [p1558, c8])).
% 77.87/15.48  cnf(p2214, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk0),sk1) | apart_point_and_line(intersection_point(sk2,sk0),X0) | distinct_lines(sk0,X0) | ~spl18 | ~spl102), inference(resolution, [status(thm)], [p270, p1590])).
% 77.87/15.48  cnf(ssp286, plain, (~spl18 | ~spl102 | spl113 | spl164), inference(avatar_split_clause, [status(thm)], [p2214, sdef113, sdef164])).
% 77.87/15.48  cnf(p1591, plain, (~apart_point_and_line(intersection_point(sk2,sk0),sk0) | ~spl102), inference(resolution, [status(thm)], [p1558, c9])).
% 77.87/15.48  cnf(p2215, plain, (apart_point_and_line(intersection_point(sk2,sk0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk2,sk0),sk1) | distinct_lines(sk0,sk0) | ~spl18 | ~spl102), inference(resolution, [status(thm)], [p270, p1591])).
% 77.87/15.48  cnf(ssp287, plain, (~spl18 | ~spl102 | spl17 | spl113 | spl146 | spl165), inference(avatar_split_clause, [status(thm)], [p2215, sdef17, sdef113, sdef146, sdef165])).
% 77.87/15.48  cnf(p261, plain, (convergent_lines(sk2,X0) | convergent_lines(sk0,X0) | ~spl14), inference(resolution, [status(thm)], [p243, c5])).
% 77.87/15.48  cnf(p1692, plain, (convergent_lines(sk0,sk2) | ~spl14), inference(resolution, [status(thm)], [p261, c2])).
% 77.87/15.48  cnf(p1697, plain, (~apart_point_and_line(intersection_point(sk0,sk2),sk0) | ~spl14), inference(resolution, [status(thm)], [p1692, c8])).
% 77.87/15.48  cnf(p2216, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | distinct_lines(sk0,sk0) | ~spl14 | ~spl18), inference(resolution, [status(thm)], [p270, p1697])).
% 77.87/15.48  cnf(ssp288, plain, (~spl14 | ~spl18 | spl17 | spl104 | spl146 | spl163), inference(avatar_split_clause, [status(thm)], [p2216, sdef17, sdef104, sdef146, sdef163])).
% 77.87/15.48  cnf(p1698, plain, (~apart_point_and_line(intersection_point(sk0,sk2),sk2) | ~spl14), inference(resolution, [status(thm)], [p1692, c9])).
% 77.87/15.48  cnf(p2217, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0) | ~spl14 | ~spl18), inference(resolution, [status(thm)], [p270, p1698])).
% 77.87/15.48  cnf(ssp289, plain, (~spl14 | ~spl18 | spl104 | spl154), inference(avatar_split_clause, [status(thm)], [p2217, sdef104, sdef154])).
% 77.87/15.48  cnf(p196, plain, distinct_lines(X0,X1) | convergent_lines(sk1,X1) | ~apart_point_and_line(intersection_point(sk0,X0),sk0), inference(resolution, [status(thm)], [p67, c8])).
% 77.87/15.48  cnf(p2218, plain, (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(sk0,sk0) | distinct_lines(X0,X1) | convergent_lines(sk1,X1) | ~spl18), inference(resolution, [status(thm)], [p270, p196])).
% 77.87/15.48  fof(sdef205, definition, (spl205 <=> (apart_point_and_line(intersection_point(sk0,X0),sk2) | apart_point_and_line(intersection_point(sk0,X0),sk1) | distinct_lines(X0,X1) | convergent_lines(sk1,X1))), introduced(definition, [new_symbols(naming, [spl205])], [avatar_definition])).
% 77.87/15.48  cnf(ssp290, plain, (~spl18 | spl17 | spl146 | spl205), inference(avatar_split_clause, [status(thm)], [p2218, sdef17, sdef146, sdef205])).
% 77.87/15.48  cnf(p1688, plain, (convergent_lines(sk1,X0) | convergent_lines(X0,sk3) | ~spl132), inference(avatar_component_clause, [status(thm)], [sdef132])).
% 77.87/15.48  cnf(p1822, plain, (convergent_lines(sk1,sk3) | ~spl132), inference(resolution, [status(thm)], [p1688, c2])).
% 77.87/15.48  cnf(p1832, plain, (~apart_point_and_line(intersection_point(sk1,sk3),sk3) | ~spl132), inference(resolution, [status(thm)], [p1822, c9])).
% 77.87/15.48  cnf(p2220, plain, (apart_point_and_line(intersection_point(sk1,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk1,sk3),sk1) | distinct_lines(sk0,sk3) | ~spl18 | ~spl132), inference(resolution, [status(thm)], [p270, p1832])).
% 77.87/15.48  cnf(ssp291, plain, (~spl18 | ~spl132 | spl1 | spl148 | spl170 | spl171), inference(avatar_split_clause, [status(thm)], [p2220, sdef1, sdef148, sdef170, sdef171])).
% 77.87/15.48  cnf(p2221, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk1,sk2),sk1) | apart_point_and_line(intersection_point(sk1,sk2),X0) | distinct_lines(sk0,X0) | distinct_lines(X1,sk2) | convergent_lines(sk0,X1) | ~spl18), inference(resolution, [status(thm)], [p270, p198])).
% 77.87/15.48  cnf(ssp292, plain, (~spl18 | spl98 | spl142 | spl149), inference(avatar_split_clause, [status(thm)], [p2221, sdef98, sdef142, sdef149])).
% 77.87/15.48  cnf(p2223, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0) | distinct_lines(sk2,X1) | convergent_lines(sk1,X1) | ~spl18), inference(resolution, [status(thm)], [p270, p199])).
% 77.87/15.48  fof(sdef206, definition, (spl206 <=> (distinct_lines(sk2,X0) | convergent_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl206])], [avatar_definition])).
% 77.87/15.48  cnf(ssp293, plain, (~spl18 | spl104 | spl154 | spl206), inference(avatar_split_clause, [status(thm)], [p2223, sdef104, sdef154, sdef206])).
% 77.87/15.48  cnf(p275, plain, (apart_point_and_line(X0,sk3) | distinct_points(X0,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p56, c3])).
% 77.87/15.48  cnf(p2241, plain, (distinct_points(intersection_point(sk1,sk3),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | convergent_lines(sk0,sk3) | ~spl1), inference(resolution, [status(thm)], [p275, p28])).
% 77.87/15.48  fof(sdef207, definition, (spl207 <=> (distinct_points(intersection_point(sk1,sk3),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl207])], [avatar_definition])).
% 77.87/15.48  cnf(ssp294, plain, (~spl1 | spl20 | spl207), inference(avatar_split_clause, [status(thm)], [p2241, sdef20, sdef207])).
% 77.87/15.48  cnf(p2248, plain, (distinct_points(intersection_point(sk3,sk1),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | convergent_lines(sk0,sk3) | ~spl1), inference(resolution, [status(thm)], [p275, p44])).
% 77.87/15.48  fof(sdef208, definition, (spl208 <=> (distinct_points(intersection_point(sk3,sk1),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl208])], [avatar_definition])).
% 77.87/15.48  cnf(ssp295, plain, (~spl1 | spl20 | spl208), inference(avatar_split_clause, [status(thm)], [p2248, sdef20, sdef208])).
% 77.87/15.48  cnf(p2250, plain, (distinct_points(intersection_point(sk0,sk3),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | convergent_lines(sk3,sk1) | ~spl1), inference(resolution, [status(thm)], [p275, p45])).
% 77.87/15.48  fof(sdef209, definition, (spl209 <=> (distinct_points(intersection_point(sk0,sk3),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl209])], [avatar_definition])).
% 77.87/15.48  cnf(ssp296, plain, (~spl1 | spl23 | spl209), inference(avatar_split_clause, [status(thm)], [p2250, sdef23, sdef209])).
% 77.87/15.48  cnf(p2253, plain, (distinct_points(intersection_point(sk3,X0),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk0,sk3) | convergent_lines(sk1,X0) | ~spl1), inference(resolution, [status(thm)], [p275, p36])).
% 77.87/15.48  fof(sdef210, definition, (spl210 <=> (distinct_points(intersection_point(sk3,X0),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl210])], [avatar_definition])).
% 77.87/15.48  cnf(ssp297, plain, (~spl1 | spl20 | spl210), inference(avatar_split_clause, [status(thm)], [p2253, sdef20, sdef210])).
% 77.87/15.48  cnf(p2255, plain, (distinct_points(intersection_point(sk0,sk3),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | convergent_lines(sk1,X2) | convergent_lines(sk3,X2) | ~spl1), inference(resolution, [status(thm)], [p275, p37])).
% 77.87/15.48  cnf(ssp298, plain, (~spl1 | spl25 | spl209), inference(avatar_split_clause, [status(thm)], [p2255, sdef25, sdef209])).
% 77.87/15.48  cnf(p2256, plain, (distinct_points(intersection_point(sk1,sk3),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | convergent_lines(sk0,X2) | convergent_lines(X2,sk3) | ~spl1), inference(resolution, [status(thm)], [p275, p38])).
% 77.87/15.48  cnf(ssp299, plain, (~spl1 | spl26 | spl207), inference(avatar_split_clause, [status(thm)], [p2256, sdef26, sdef207])).
% 77.87/15.48  cnf(p2257, plain, (distinct_points(intersection_point(X0,sk3),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X0) | convergent_lines(sk1,sk3) | ~spl1), inference(resolution, [status(thm)], [p275, p39])).
% 77.87/15.48  fof(sdef211, definition, (spl211 <=> (distinct_points(intersection_point(X0,sk3),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl211])], [avatar_definition])).
% 77.87/15.48  cnf(ssp300, plain, (~spl1 | spl28 | spl211), inference(avatar_split_clause, [status(thm)], [p2257, sdef28, sdef211])).
% 77.87/15.48  cnf(p2260, plain, (distinct_points(intersection_point(sk3,sk1),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | convergent_lines(sk3,sk0) | ~spl1), inference(resolution, [status(thm)], [p275, p138])).
% 77.87/15.48  cnf(ssp301, plain, (~spl1 | spl29 | spl208), inference(avatar_split_clause, [status(thm)], [p2260, sdef29, sdef208])).
% 77.87/15.48  cnf(p2270, plain, (distinct_points(intersection_point(sk3,sk2),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | convergent_lines(sk0,sk3) | ~spl1 | ~spl11), inference(resolution, [status(thm)], [p275, p403])).
% 77.87/15.48  fof(sdef212, definition, (spl212 <=> (distinct_points(intersection_point(sk3,sk2),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl212])], [avatar_definition])).
% 77.87/15.48  cnf(ssp302, plain, (~spl1 | ~spl11 | spl20 | spl212), inference(avatar_split_clause, [status(thm)], [p2270, sdef20, sdef212])).
% 77.87/15.48  cnf(p2274, plain, (distinct_points(intersection_point(sk3,sk1),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | convergent_lines(sk0,X2) | convergent_lines(sk3,X2) | ~spl1), inference(resolution, [status(thm)], [p275, p126])).
% 77.87/15.48  fof(sdef213, definition, (spl213 <=> (convergent_lines(sk0,X0) | convergent_lines(sk3,X0))), introduced(definition, [new_symbols(naming, [spl213])], [avatar_definition])).
% 77.87/15.48  cnf(ssp303, plain, (~spl1 | spl208 | spl213), inference(avatar_split_clause, [status(thm)], [p2274, sdef208, sdef213])).
% 77.87/15.48  cnf(p2276, plain, (distinct_points(intersection_point(sk3,X0),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk3,sk1) | convergent_lines(sk0,X0) | ~spl1), inference(resolution, [status(thm)], [p275, p128])).
% 77.87/15.48  fof(sdef214, definition, (spl214 <=> (distinct_points(intersection_point(sk3,X0),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl214])], [avatar_definition])).
% 77.87/15.48  cnf(ssp304, plain, (~spl1 | spl23 | spl214), inference(avatar_split_clause, [status(thm)], [p2276, sdef23, sdef214])).
% 77.87/15.48  cnf(p2280, plain, (distinct_points(intersection_point(sk0,sk3),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | convergent_lines(X2,sk1) | convergent_lines(X2,sk3) | ~spl1), inference(resolution, [status(thm)], [p275, p130])).
% 77.87/15.48  fof(sdef215, definition, (spl215 <=> (convergent_lines(X0,sk1) | convergent_lines(X0,sk3))), introduced(definition, [new_symbols(naming, [spl215])], [avatar_definition])).
% 77.87/15.48  cnf(ssp305, plain, (~spl1 | spl209 | spl215), inference(avatar_split_clause, [status(thm)], [p2280, sdef209, sdef215])).
% 77.87/15.48  cnf(p2282, plain, (distinct_points(intersection_point(X0,sk3),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(X0,sk1) | convergent_lines(sk0,sk3) | ~spl1), inference(resolution, [status(thm)], [p275, p131])).
% 77.87/15.48  fof(sdef216, definition, (spl216 <=> (distinct_points(intersection_point(X0,sk3),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl216])], [avatar_definition])).
% 77.87/15.48  cnf(ssp306, plain, (~spl1 | spl20 | spl216), inference(avatar_split_clause, [status(thm)], [p2282, sdef20, sdef216])).
% 77.87/15.48  cnf(p2284, plain, (distinct_points(intersection_point(sk3,sk0),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | convergent_lines(sk1,sk3) | ~spl1), inference(resolution, [status(thm)], [p275, p1047])).
% 77.87/15.48  fof(sdef217, definition, (spl217 <=> (distinct_points(intersection_point(sk3,sk0),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl217])], [avatar_definition])).
% 77.87/15.48  cnf(ssp307, plain, (~spl1 | spl28 | spl217), inference(avatar_split_clause, [status(thm)], [p2284, sdef28, sdef217])).
% 77.87/15.48  cnf(p2286, plain, (distinct_points(intersection_point(sk1,sk3),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | convergent_lines(sk3,sk0) | ~spl1), inference(resolution, [status(thm)], [p275, p1050])).
% 77.87/15.48  cnf(ssp308, plain, (~spl1 | spl29 | spl207), inference(avatar_split_clause, [status(thm)], [p2286, sdef29, sdef207])).
% 77.87/15.48  cnf(p2287, plain, (distinct_points(intersection_point(sk3,X0),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk1,X0) | convergent_lines(sk0,X3) | convergent_lines(sk3,X3) | ~spl1), inference(resolution, [status(thm)], [p275, p147])).
% 77.87/15.48  cnf(ssp309, plain, (~spl1 | spl210 | spl213), inference(avatar_split_clause, [status(thm)], [p2287, sdef210, sdef213])).
% 77.87/15.48  cnf(p2288, plain, (distinct_points(intersection_point(sk3,X0),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk1,X3) | convergent_lines(sk3,X3) | convergent_lines(sk0,X0) | ~spl1), inference(resolution, [status(thm)], [p275, p149])).
% 77.87/15.48  cnf(ssp310, plain, (~spl1 | spl25 | spl214), inference(avatar_split_clause, [status(thm)], [p2288, sdef25, sdef214])).
% 77.87/15.48  cnf(p2290, plain, (distinct_points(intersection_point(sk1,sk3),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | convergent_lines(X2,sk3) | convergent_lines(sk0,X3) | convergent_lines(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p275, p150])).
% 77.87/15.48  cnf(ssp311, plain, (~spl1 | spl80 | spl207), inference(avatar_split_clause, [status(thm)], [p2290, sdef80, sdef207])).
% 77.87/15.48  cnf(p2292, plain, (distinct_points(intersection_point(X0,sk3),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk1,sk3) | convergent_lines(sk0,X3) | convergent_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p275, p151])).
% 77.87/15.48  fof(sdef218, definition, (spl218 <=> (distinct_points(intersection_point(X0,sk3),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | convergent_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl218])], [avatar_definition])).
% 77.87/15.48  cnf(ssp312, plain, (~spl1 | spl28 | spl218), inference(avatar_split_clause, [status(thm)], [p2292, sdef28, sdef218])).
% 77.87/15.48  cnf(p2295, plain, (distinct_points(intersection_point(sk0,sk3),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | convergent_lines(sk1,X2) | convergent_lines(X3,X2) | convergent_lines(X3,sk3) | ~spl1), inference(resolution, [status(thm)], [p275, p152])).
% 77.87/15.48  cnf(ssp313, plain, (~spl1 | spl87 | spl209), inference(avatar_split_clause, [status(thm)], [p2295, sdef87, sdef209])).
% 77.87/15.48  cnf(p2298, plain, (distinct_points(intersection_point(X0,sk3),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk1,X3) | convergent_lines(X0,X3) | convergent_lines(sk0,sk3) | ~spl1), inference(resolution, [status(thm)], [p275, p153])).
% 77.87/15.48  fof(sdef219, definition, (spl219 <=> (distinct_points(intersection_point(X0,sk3),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk1,X3) | convergent_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl219])], [avatar_definition])).
% 77.87/15.48  cnf(ssp314, plain, (~spl1 | spl20 | spl219), inference(avatar_split_clause, [status(thm)], [p2298, sdef20, sdef219])).
% 77.87/15.48  cnf(p2304, plain, (distinct_points(intersection_point(sk0,sk3),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | convergent_lines(sk1,sk3) | ~spl1 | ~spl82), inference(resolution, [status(thm)], [p275, p1142])).
% 77.87/15.48  cnf(ssp315, plain, (~spl1 | ~spl82 | spl28 | spl209), inference(avatar_split_clause, [status(thm)], [p2304, sdef28, sdef209])).
% 77.87/15.48  cnf(p2305, plain, (distinct_points(intersection_point(sk3,X0),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk0,sk3) | convergent_lines(sk1,X3) | convergent_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p275, p168])).
% 77.87/15.48  fof(sdef220, definition, (spl220 <=> (distinct_points(intersection_point(sk3,X0),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk1,X3) | convergent_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl220])], [avatar_definition])).
% 77.87/15.48  cnf(ssp316, plain, (~spl1 | spl20 | spl220), inference(avatar_split_clause, [status(thm)], [p2305, sdef20, sdef220])).
% 77.87/15.48  cnf(p2307, plain, (distinct_points(intersection_point(sk3,X0),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | convergent_lines(X3,sk3) | convergent_lines(sk1,X0) | ~spl1), inference(resolution, [status(thm)], [p275, p170])).
% 77.87/15.48  cnf(ssp317, plain, (~spl1 | spl26 | spl210), inference(avatar_split_clause, [status(thm)], [p2307, sdef26, sdef210])).
% 77.87/15.48  cnf(p2308, plain, (distinct_points(intersection_point(sk0,sk3),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | convergent_lines(sk3,X2) | convergent_lines(sk1,X3) | convergent_lines(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p275, p171])).
% 77.87/15.48  cnf(ssp318, plain, (~spl1 | spl122 | spl209), inference(avatar_split_clause, [status(thm)], [p2308, sdef122, sdef209])).
% 77.87/15.48  cnf(p2309, plain, (distinct_points(intersection_point(X0,sk3),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X0) | convergent_lines(sk1,X3) | convergent_lines(sk3,X3) | ~spl1), inference(resolution, [status(thm)], [p275, p172])).
% 77.87/15.48  cnf(ssp319, plain, (~spl1 | spl25 | spl211), inference(avatar_split_clause, [status(thm)], [p2309, sdef25, sdef211])).
% 77.87/15.48  cnf(p2310, plain, (distinct_points(intersection_point(sk1,sk3),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | convergent_lines(sk0,X2) | convergent_lines(X2,X3) | convergent_lines(X3,sk3) | ~spl1), inference(resolution, [status(thm)], [p275, p173])).
% 77.87/15.48  cnf(ssp320, plain, (~spl1 | spl124 | spl207), inference(avatar_split_clause, [status(thm)], [p2310, sdef124, sdef207])).
% 77.87/15.48  cnf(p2311, plain, (distinct_points(intersection_point(X0,sk3),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | convergent_lines(X3,X0) | convergent_lines(sk1,sk3) | ~spl1), inference(resolution, [status(thm)], [p275, p174])).
% 77.87/15.48  fof(sdef221, definition, (spl221 <=> (distinct_points(intersection_point(X0,sk3),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | convergent_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl221])], [avatar_definition])).
% 77.87/15.48  cnf(ssp321, plain, (~spl1 | spl28 | spl221), inference(avatar_split_clause, [status(thm)], [p2311, sdef28, sdef221])).
% 77.87/15.48  cnf(p2313, plain, (distinct_points(intersection_point(sk3,X0),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk0,sk3) | convergent_lines(sk1,X3) | convergent_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p275, p183])).
% 77.87/15.48  fof(sdef222, definition, (spl222 <=> (distinct_points(intersection_point(sk3,X0),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk1,X3) | convergent_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl222])], [avatar_definition])).
% 77.87/15.48  cnf(ssp322, plain, (~spl1 | spl20 | spl222), inference(avatar_split_clause, [status(thm)], [p2313, sdef20, sdef222])).
% 77.87/15.48  cnf(p2315, plain, (distinct_points(intersection_point(sk3,X0),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | convergent_lines(sk1,sk3) | convergent_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p275, p184])).
% 77.87/15.48  fof(sdef223, definition, (spl223 <=> (distinct_points(intersection_point(sk3,X0),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | convergent_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl223])], [avatar_definition])).
% 77.87/15.48  cnf(ssp323, plain, (~spl1 | spl28 | spl223), inference(avatar_split_clause, [status(thm)], [p2315, sdef28, sdef223])).
% 77.87/15.48  cnf(p2317, plain, (distinct_points(intersection_point(sk0,sk3),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | convergent_lines(sk1,X2) | convergent_lines(sk3,X3) | convergent_lines(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p275, p185])).
% 77.87/15.48  cnf(ssp324, plain, (~spl1 | spl130 | spl209), inference(avatar_split_clause, [status(thm)], [p2317, sdef130, sdef209])).
% 77.87/15.48  cnf(p2318, plain, (distinct_points(intersection_point(sk1,sk3),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | convergent_lines(sk0,X2) | convergent_lines(X2,X3) | convergent_lines(sk3,X3) | ~spl1), inference(resolution, [status(thm)], [p275, p186])).
% 77.87/15.48  cnf(ssp325, plain, (~spl1 | spl131 | spl207), inference(avatar_split_clause, [status(thm)], [p2318, sdef131, sdef207])).
% 77.87/15.48  cnf(p2319, plain, (distinct_points(intersection_point(X0,sk3),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X0) | convergent_lines(sk1,X3) | convergent_lines(X3,sk3) | ~spl1), inference(resolution, [status(thm)], [p275, p187])).
% 77.87/15.48  cnf(ssp326, plain, (~spl1 | spl132 | spl211), inference(avatar_split_clause, [status(thm)], [p2319, sdef132, sdef211])).
% 77.87/15.48  cnf(p2321, plain, (distinct_points(intersection_point(X0,sk3),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | convergent_lines(sk1,X0) | convergent_lines(X3,sk3) | ~spl1), inference(resolution, [status(thm)], [p275, p188])).
% 77.87/15.48  fof(sdef224, definition, (spl224 <=> (distinct_points(intersection_point(X0,sk3),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | convergent_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl224])], [avatar_definition])).
% 77.87/15.48  cnf(ssp327, plain, (~spl1 | spl26 | spl224), inference(avatar_split_clause, [status(thm)], [p2321, sdef26, sdef224])).
% 77.87/15.48  cnf(p2324, plain, (distinct_points(intersection_point(sk1,sk3),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | distinct_lines(X2,sk3) | convergent_lines(sk0,X2) | ~spl1), inference(resolution, [status(thm)], [p275, p198])).
% 77.87/15.48  cnf(ssp328, plain, (~spl1 | spl134 | spl207), inference(avatar_split_clause, [status(thm)], [p2324, sdef134, sdef207])).
% 77.87/15.48  cnf(p2325, plain, (distinct_points(intersection_point(sk0,sk3),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | distinct_lines(sk3,X2) | convergent_lines(sk1,X2) | ~spl1), inference(resolution, [status(thm)], [p275, p199])).
% 77.87/15.48  cnf(ssp329, plain, (~spl1 | spl135 | spl209), inference(avatar_split_clause, [status(thm)], [p2325, sdef135, sdef209])).
% 77.87/15.48  cnf(p2336, plain, (convergent_lines(sk0,sk0) | convergent_lines(sk1,sk2) | ~spl163), inference(resolution, [status(thm)], [p2047, p39])).
% 77.87/15.48  cnf(ssp330, plain, (~spl163 | spl13 | spl127), inference(avatar_split_clause, [status(thm)], [p2336, sdef13, sdef127])).
% 77.87/15.48  cnf(p2345, plain, (convergent_lines(sk2,sk2) | convergent_lines(sk3,sk0) | ~spl165), inference(resolution, [status(thm)], [p2053, p85])).
% 77.87/15.48  cnf(ssp331, plain, (~spl165 | spl5 | spl29), inference(avatar_split_clause, [status(thm)], [p2345, sdef5, sdef29])).
% 77.87/15.48  cnf(p2350, plain, (convergent_lines(sk2,sk1) | convergent_lines(sk0,sk0) | ~spl165), inference(resolution, [status(thm)], [p2053, p128])).
% 77.87/15.48  cnf(ssp332, plain, (~spl165 | spl8 | spl127), inference(avatar_split_clause, [status(thm)], [p2350, sdef8, sdef127])).
% 77.87/15.48  cnf(p2353, plain, (convergent_lines(sk1,X0) | convergent_lines(sk2,X0) | convergent_lines(sk0,sk0) | ~spl165), inference(resolution, [status(thm)], [p2053, p149])).
% 77.87/15.48  cnf(ssp333, plain, (~spl165 | spl10 | spl127), inference(avatar_split_clause, [status(thm)], [p2353, sdef10, sdef127])).
% 77.87/15.48  cnf(p276, plain, (apart_point_and_line(X0,sk3) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p56, c3])).
% 77.87/15.48  cnf(p2365, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk3),X1) | distinct_points(X0,X1) | convergent_lines(sk0,sk3) | ~spl1), inference(resolution, [status(thm)], [p276, p28])).
% 77.87/15.48  fof(sdef225, definition, (spl225 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk3),X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl225])], [avatar_definition])).
% 77.87/15.48  cnf(ssp334, plain, (~spl1 | spl20 | spl225), inference(avatar_split_clause, [status(thm)], [p2365, sdef20, sdef225])).
% 77.87/15.48  cnf(p2371, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk1),X1) | distinct_points(X0,X1) | convergent_lines(sk0,sk3) | ~spl1), inference(resolution, [status(thm)], [p276, p44])).
% 77.87/15.48  fof(sdef226, definition, (spl226 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk1),X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl226])], [avatar_definition])).
% 77.87/15.48  cnf(ssp335, plain, (~spl1 | spl20 | spl226), inference(avatar_split_clause, [status(thm)], [p2371, sdef20, sdef226])).
% 77.87/15.48  cnf(p2373, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X1) | distinct_points(X0,X1) | convergent_lines(sk3,sk1) | ~spl1), inference(resolution, [status(thm)], [p276, p45])).
% 77.87/15.48  fof(sdef227, definition, (spl227 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl227])], [avatar_definition])).
% 77.87/15.48  cnf(ssp336, plain, (~spl1 | spl23 | spl227), inference(avatar_split_clause, [status(thm)], [p2373, sdef23, sdef227])).
% 77.87/15.48  cnf(p2376, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,X1),X2) | distinct_points(X0,X2) | convergent_lines(sk0,sk3) | convergent_lines(sk1,X1) | ~spl1), inference(resolution, [status(thm)], [p276, p36])).
% 77.87/15.48  fof(sdef228, definition, (spl228 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,X1),X2) | distinct_points(X0,X2) | convergent_lines(sk1,X1))), introduced(definition, [new_symbols(naming, [spl228])], [avatar_definition])).
% 77.87/15.48  cnf(ssp337, plain, (~spl1 | spl20 | spl228), inference(avatar_split_clause, [status(thm)], [p2376, sdef20, sdef228])).
% 77.87/15.48  cnf(p2378, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X1) | distinct_points(X0,X1) | convergent_lines(sk1,X2) | convergent_lines(sk3,X2) | ~spl1), inference(resolution, [status(thm)], [p276, p37])).
% 77.87/15.48  cnf(ssp338, plain, (~spl1 | spl25 | spl227), inference(avatar_split_clause, [status(thm)], [p2378, sdef25, sdef227])).
% 77.87/15.48  cnf(p2379, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk3),X1) | distinct_points(X0,X1) | convergent_lines(sk0,X2) | convergent_lines(X2,sk3) | ~spl1), inference(resolution, [status(thm)], [p276, p38])).
% 77.87/15.48  cnf(ssp339, plain, (~spl1 | spl26 | spl225), inference(avatar_split_clause, [status(thm)], [p2379, sdef26, sdef225])).
% 77.87/15.48  cnf(p2380, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(X1,sk3),X2) | distinct_points(X0,X2) | convergent_lines(sk0,X1) | convergent_lines(sk1,sk3) | ~spl1), inference(resolution, [status(thm)], [p276, p39])).
% 77.87/15.48  fof(sdef229, definition, (spl229 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(X1,sk3),X2) | distinct_points(X0,X2) | convergent_lines(sk0,X1))), introduced(definition, [new_symbols(naming, [spl229])], [avatar_definition])).
% 77.87/15.48  cnf(ssp340, plain, (~spl1 | spl28 | spl229), inference(avatar_split_clause, [status(thm)], [p2380, sdef28, sdef229])).
% 77.87/15.48  cnf(p2383, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk1),X1) | distinct_points(X0,X1) | convergent_lines(sk3,sk0) | ~spl1), inference(resolution, [status(thm)], [p276, p138])).
% 77.87/15.48  cnf(ssp341, plain, (~spl1 | spl29 | spl226), inference(avatar_split_clause, [status(thm)], [p2383, sdef29, sdef226])).
% 77.87/15.48  cnf(p2393, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X1) | distinct_points(X0,X1) | convergent_lines(sk0,sk3) | ~spl1 | ~spl11), inference(resolution, [status(thm)], [p276, p403])).
% 77.87/15.48  fof(sdef230, definition, (spl230 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl230])], [avatar_definition])).
% 77.87/15.48  cnf(ssp342, plain, (~spl1 | ~spl11 | spl20 | spl230), inference(avatar_split_clause, [status(thm)], [p2393, sdef20, sdef230])).
% 77.87/15.48  cnf(p2397, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk1),X1) | distinct_points(X0,X1) | convergent_lines(sk0,X2) | convergent_lines(sk3,X2) | ~spl1), inference(resolution, [status(thm)], [p276, p126])).
% 77.87/15.48  cnf(ssp343, plain, (~spl1 | spl213 | spl226), inference(avatar_split_clause, [status(thm)], [p2397, sdef213, sdef226])).
% 77.87/15.48  cnf(p2398, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,X1),X2) | distinct_points(X0,X2) | convergent_lines(sk3,sk1) | convergent_lines(sk0,X1) | ~spl1), inference(resolution, [status(thm)], [p276, p128])).
% 77.87/15.48  fof(sdef231, definition, (spl231 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,X1),X2) | distinct_points(X0,X2) | convergent_lines(sk0,X1))), introduced(definition, [new_symbols(naming, [spl231])], [avatar_definition])).
% 77.87/15.48  cnf(ssp344, plain, (~spl1 | spl23 | spl231), inference(avatar_split_clause, [status(thm)], [p2398, sdef23, sdef231])).
% 77.87/15.48  cnf(p2402, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X1) | distinct_points(X0,X1) | convergent_lines(X2,sk1) | convergent_lines(X2,sk3) | ~spl1), inference(resolution, [status(thm)], [p276, p130])).
% 77.87/15.48  cnf(ssp345, plain, (~spl1 | spl215 | spl227), inference(avatar_split_clause, [status(thm)], [p2402, sdef215, sdef227])).
% 77.87/15.48  cnf(p2403, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(X1,sk3),X2) | distinct_points(X0,X2) | convergent_lines(X1,sk1) | convergent_lines(sk0,sk3) | ~spl1), inference(resolution, [status(thm)], [p276, p131])).
% 77.87/15.48  fof(sdef232, definition, (spl232 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(X1,sk3),X2) | distinct_points(X0,X2) | convergent_lines(X1,sk1))), introduced(definition, [new_symbols(naming, [spl232])], [avatar_definition])).
% 77.87/15.48  cnf(ssp346, plain, (~spl1 | spl20 | spl232), inference(avatar_split_clause, [status(thm)], [p2403, sdef20, sdef232])).
% 77.87/15.48  cnf(p2405, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk0),X1) | distinct_points(X0,X1) | convergent_lines(sk1,sk3) | ~spl1), inference(resolution, [status(thm)], [p276, p1047])).
% 77.87/15.48  fof(sdef233, definition, (spl233 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk0),X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl233])], [avatar_definition])).
% 77.87/15.48  cnf(ssp347, plain, (~spl1 | spl28 | spl233), inference(avatar_split_clause, [status(thm)], [p2405, sdef28, sdef233])).
% 77.87/15.48  cnf(p2407, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk3),X1) | distinct_points(X0,X1) | convergent_lines(sk3,sk0) | ~spl1), inference(resolution, [status(thm)], [p276, p1050])).
% 77.87/15.48  cnf(ssp348, plain, (~spl1 | spl29 | spl225), inference(avatar_split_clause, [status(thm)], [p2407, sdef29, sdef225])).
% 77.87/15.48  cnf(p2408, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,X1),X2) | distinct_points(X0,X2) | convergent_lines(sk1,X1) | convergent_lines(sk0,X3) | convergent_lines(sk3,X3) | ~spl1), inference(resolution, [status(thm)], [p276, p147])).
% 77.87/15.48  cnf(ssp349, plain, (~spl1 | spl213 | spl228), inference(avatar_split_clause, [status(thm)], [p2408, sdef213, sdef228])).
% 77.87/15.48  cnf(p2409, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,X1),X2) | distinct_points(X0,X2) | convergent_lines(sk1,X3) | convergent_lines(sk3,X3) | convergent_lines(sk0,X1) | ~spl1), inference(resolution, [status(thm)], [p276, p149])).
% 77.87/15.48  cnf(ssp350, plain, (~spl1 | spl25 | spl231), inference(avatar_split_clause, [status(thm)], [p2409, sdef25, sdef231])).
% 77.87/15.48  cnf(p2411, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk3),X1) | distinct_points(X0,X1) | convergent_lines(X2,sk3) | convergent_lines(sk0,X3) | convergent_lines(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p276, p150])).
% 77.87/15.48  cnf(ssp351, plain, (~spl1 | spl80 | spl225), inference(avatar_split_clause, [status(thm)], [p2411, sdef80, sdef225])).
% 77.87/15.48  cnf(p2413, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(X1,sk3),X2) | distinct_points(X0,X2) | convergent_lines(sk1,sk3) | convergent_lines(sk0,X3) | convergent_lines(X1,X3) | ~spl1), inference(resolution, [status(thm)], [p276, p151])).
% 77.87/15.48  fof(sdef234, definition, (spl234 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(X1,sk3),X2) | distinct_points(X0,X2) | convergent_lines(sk0,X3) | convergent_lines(X1,X3))), introduced(definition, [new_symbols(naming, [spl234])], [avatar_definition])).
% 77.87/15.48  cnf(ssp352, plain, (~spl1 | spl28 | spl234), inference(avatar_split_clause, [status(thm)], [p2413, sdef28, sdef234])).
% 77.87/15.48  cnf(p2416, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X1) | distinct_points(X0,X1) | convergent_lines(sk1,X2) | convergent_lines(X3,X2) | convergent_lines(X3,sk3) | ~spl1), inference(resolution, [status(thm)], [p276, p152])).
% 77.87/15.48  cnf(ssp353, plain, (~spl1 | spl87 | spl227), inference(avatar_split_clause, [status(thm)], [p2416, sdef87, sdef227])).
% 77.87/15.48  cnf(p2419, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(X1,sk3),X2) | distinct_points(X0,X2) | convergent_lines(sk1,X3) | convergent_lines(X1,X3) | convergent_lines(sk0,sk3) | ~spl1), inference(resolution, [status(thm)], [p276, p153])).
% 77.87/15.48  fof(sdef235, definition, (spl235 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(X1,sk3),X2) | distinct_points(X0,X2) | convergent_lines(sk1,X3) | convergent_lines(X1,X3))), introduced(definition, [new_symbols(naming, [spl235])], [avatar_definition])).
% 77.87/15.48  cnf(ssp354, plain, (~spl1 | spl20 | spl235), inference(avatar_split_clause, [status(thm)], [p2419, sdef20, sdef235])).
% 77.87/15.48  cnf(p2425, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X1) | distinct_points(X0,X1) | convergent_lines(sk1,sk3) | ~spl1 | ~spl82), inference(resolution, [status(thm)], [p276, p1142])).
% 77.87/15.48  cnf(ssp355, plain, (~spl1 | ~spl82 | spl28 | spl227), inference(avatar_split_clause, [status(thm)], [p2425, sdef28, sdef227])).
% 77.87/15.48  cnf(p2426, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,X1),X2) | distinct_points(X0,X2) | convergent_lines(sk0,sk3) | convergent_lines(sk1,X3) | convergent_lines(X1,X3) | ~spl1), inference(resolution, [status(thm)], [p276, p168])).
% 77.87/15.48  fof(sdef236, definition, (spl236 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,X1),X2) | distinct_points(X0,X2) | convergent_lines(sk1,X3) | convergent_lines(X1,X3))), introduced(definition, [new_symbols(naming, [spl236])], [avatar_definition])).
% 77.87/15.48  cnf(ssp356, plain, (~spl1 | spl20 | spl236), inference(avatar_split_clause, [status(thm)], [p2426, sdef20, sdef236])).
% 77.87/15.48  cnf(p2428, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,X1),X2) | distinct_points(X0,X2) | convergent_lines(sk0,X3) | convergent_lines(X3,sk3) | convergent_lines(sk1,X1) | ~spl1), inference(resolution, [status(thm)], [p276, p170])).
% 77.87/15.48  cnf(ssp357, plain, (~spl1 | spl26 | spl228), inference(avatar_split_clause, [status(thm)], [p2428, sdef26, sdef228])).
% 77.87/15.48  cnf(p2429, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X1) | distinct_points(X0,X1) | convergent_lines(sk3,X2) | convergent_lines(sk1,X3) | convergent_lines(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p276, p171])).
% 77.87/15.48  cnf(ssp358, plain, (~spl1 | spl122 | spl227), inference(avatar_split_clause, [status(thm)], [p2429, sdef122, sdef227])).
% 77.87/15.48  cnf(p2430, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(X1,sk3),X2) | distinct_points(X0,X2) | convergent_lines(sk0,X1) | convergent_lines(sk1,X3) | convergent_lines(sk3,X3) | ~spl1), inference(resolution, [status(thm)], [p276, p172])).
% 77.87/15.48  cnf(ssp359, plain, (~spl1 | spl25 | spl229), inference(avatar_split_clause, [status(thm)], [p2430, sdef25, sdef229])).
% 77.87/15.48  cnf(p2431, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk3),X1) | distinct_points(X0,X1) | convergent_lines(sk0,X2) | convergent_lines(X2,X3) | convergent_lines(X3,sk3) | ~spl1), inference(resolution, [status(thm)], [p276, p173])).
% 77.87/15.48  cnf(ssp360, plain, (~spl1 | spl124 | spl225), inference(avatar_split_clause, [status(thm)], [p2431, sdef124, sdef225])).
% 77.87/15.48  cnf(p2432, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(X1,sk3),X2) | distinct_points(X0,X2) | convergent_lines(sk0,X3) | convergent_lines(X3,X1) | convergent_lines(sk1,sk3) | ~spl1), inference(resolution, [status(thm)], [p276, p174])).
% 77.87/15.48  fof(sdef237, definition, (spl237 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(X1,sk3),X2) | distinct_points(X0,X2) | convergent_lines(sk0,X3) | convergent_lines(X3,X1))), introduced(definition, [new_symbols(naming, [spl237])], [avatar_definition])).
% 77.87/15.48  cnf(ssp361, plain, (~spl1 | spl28 | spl237), inference(avatar_split_clause, [status(thm)], [p2432, sdef28, sdef237])).
% 77.87/15.48  cnf(p2434, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,X1),X2) | distinct_points(X0,X2) | convergent_lines(sk0,sk3) | convergent_lines(sk1,X3) | convergent_lines(X3,X1) | ~spl1), inference(resolution, [status(thm)], [p276, p183])).
% 77.87/15.48  fof(sdef238, definition, (spl238 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,X1),X2) | distinct_points(X0,X2) | convergent_lines(sk1,X3) | convergent_lines(X3,X1))), introduced(definition, [new_symbols(naming, [spl238])], [avatar_definition])).
% 77.87/15.48  cnf(ssp362, plain, (~spl1 | spl20 | spl238), inference(avatar_split_clause, [status(thm)], [p2434, sdef20, sdef238])).
% 77.87/15.48  cnf(p2436, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,X1),X2) | distinct_points(X0,X2) | convergent_lines(sk0,X3) | convergent_lines(sk1,sk3) | convergent_lines(X3,X1) | ~spl1), inference(resolution, [status(thm)], [p276, p184])).
% 77.87/15.48  fof(sdef239, definition, (spl239 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,X1),X2) | distinct_points(X0,X2) | convergent_lines(sk0,X3) | convergent_lines(X3,X1))), introduced(definition, [new_symbols(naming, [spl239])], [avatar_definition])).
% 77.87/15.48  cnf(ssp363, plain, (~spl1 | spl28 | spl239), inference(avatar_split_clause, [status(thm)], [p2436, sdef28, sdef239])).
% 77.87/15.48  cnf(p2438, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X1) | distinct_points(X0,X1) | convergent_lines(sk1,X2) | convergent_lines(sk3,X3) | convergent_lines(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p276, p185])).
% 77.87/15.48  cnf(ssp364, plain, (~spl1 | spl130 | spl227), inference(avatar_split_clause, [status(thm)], [p2438, sdef130, sdef227])).
% 77.87/15.48  cnf(p2439, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk3),X1) | distinct_points(X0,X1) | convergent_lines(sk0,X2) | convergent_lines(X2,X3) | convergent_lines(sk3,X3) | ~spl1), inference(resolution, [status(thm)], [p276, p186])).
% 77.87/15.48  cnf(ssp365, plain, (~spl1 | spl131 | spl225), inference(avatar_split_clause, [status(thm)], [p2439, sdef131, sdef225])).
% 77.87/15.48  cnf(p2440, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(X1,sk3),X2) | distinct_points(X0,X2) | convergent_lines(sk0,X1) | convergent_lines(sk1,X3) | convergent_lines(X3,sk3) | ~spl1), inference(resolution, [status(thm)], [p276, p187])).
% 77.87/15.48  cnf(ssp366, plain, (~spl1 | spl132 | spl229), inference(avatar_split_clause, [status(thm)], [p2440, sdef132, sdef229])).
% 77.87/15.48  cnf(p2441, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(X1,sk3),X2) | distinct_points(X0,X2) | convergent_lines(sk0,X3) | convergent_lines(sk1,X1) | convergent_lines(X3,sk3) | ~spl1), inference(resolution, [status(thm)], [p276, p188])).
% 77.87/15.48  fof(sdef240, definition, (spl240 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(X1,sk3),X2) | distinct_points(X0,X2) | convergent_lines(sk1,X1))), introduced(definition, [new_symbols(naming, [spl240])], [avatar_definition])).
% 77.87/15.48  cnf(ssp367, plain, (~spl1 | spl26 | spl240), inference(avatar_split_clause, [status(thm)], [p2441, sdef26, sdef240])).
% 77.87/15.48  cnf(p2444, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk3),X1) | distinct_points(X0,X1) | distinct_lines(X2,sk3) | convergent_lines(sk0,X2) | ~spl1), inference(resolution, [status(thm)], [p276, p198])).
% 77.87/15.48  cnf(ssp368, plain, (~spl1 | spl134 | spl225), inference(avatar_split_clause, [status(thm)], [p2444, sdef134, sdef225])).
% 77.87/15.48  cnf(p2445, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X1) | distinct_points(X0,X1) | distinct_lines(sk3,X2) | convergent_lines(sk1,X2) | ~spl1), inference(resolution, [status(thm)], [p276, p199])).
% 77.87/15.48  cnf(ssp369, plain, (~spl1 | spl135 | spl227), inference(avatar_split_clause, [status(thm)], [p2445, sdef135, sdef227])).
% 77.87/15.48  cnf(p280, plain, (apart_point_and_line(X0,sk3) | distinct_points(intersection_point(sk0,sk1),X1) | ~apart_point_and_line(X1,line_connecting(X0,X1)) | ~spl1), inference(resolution, [status(thm)], [p56, c7])).
% 77.87/15.48  cnf(p2457, plain, (apart_point_and_line(X0,sk3) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | distinct_lines(sk3,line_connecting(X0,intersection_point(sk0,sk1))) | ~spl1), inference(resolution, [status(thm)], [p280, p51])).
% 77.87/15.48  fof(sdef241, definition, (spl241 <=> (apart_point_and_line(X0,sk3) | distinct_lines(sk3,line_connecting(X0,intersection_point(sk0,sk1))))), introduced(definition, [new_symbols(naming, [spl241])], [avatar_definition])).
% 77.87/15.48  cnf(ssp370, plain, (~spl1 | spl241 | spl242), inference(avatar_split_clause, [status(thm)], [p2457, sdef241, sdef242])).
% 77.87/15.48  cnf(p2488, plain, (convergent_lines(sk0,sk3) | convergent_lines(sk1,sk2) | ~spl178), inference(resolution, [status(thm)], [p2093, p39])).
% 77.87/15.48  cnf(ssp371, plain, (~spl178 | spl13 | spl20), inference(avatar_split_clause, [status(thm)], [p2488, sdef13, sdef20])).
% 77.87/15.48  cnf(p2493, plain, (apart_point_and_line(intersection_point(sk1,sk2),sk1) | convergent_lines(sk0,sk2) | ~spl143), inference(resolution, [status(thm)], [p1984, p28])).
% 77.87/15.48  cnf(ssp372, plain, (~spl143 | spl3 | spl98), inference(avatar_split_clause, [status(thm)], [p2493, sdef3, sdef98])).
% 77.87/15.48  cnf(p2494, plain, (apart_point_and_line(intersection_point(sk3,sk2),sk1) | convergent_lines(sk2,sk2) | ~spl143), inference(resolution, [status(thm)], [p1984, p31])).
% 77.87/15.48  cnf(ssp373, plain, (~spl143 | spl5 | spl100), inference(avatar_split_clause, [status(thm)], [p2494, sdef5, sdef100])).
% 77.87/15.48  cnf(p2496, plain, (apart_point_and_line(intersection_point(sk2,sk1),sk1) | convergent_lines(sk0,sk2) | ~spl143), inference(resolution, [status(thm)], [p1984, p44])).
% 77.87/15.48  cnf(ssp374, plain, (~spl143 | spl3 | spl102), inference(avatar_split_clause, [status(thm)], [p2496, sdef3, sdef102])).
% 77.87/15.48  cnf(p2497, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | convergent_lines(sk2,sk1) | ~spl143), inference(resolution, [status(thm)], [p1984, p45])).
% 77.87/15.48  cnf(ssp375, plain, (~spl143 | spl8 | spl104), inference(avatar_split_clause, [status(thm)], [p2497, sdef8, sdef104])).
% 77.87/15.48  cnf(p2499, plain, (apart_point_and_line(intersection_point(sk2,X0),sk1) | convergent_lines(sk0,sk2) | convergent_lines(sk1,X0) | ~spl143), inference(resolution, [status(thm)], [p1984, p36])).
% 77.87/15.48  fof(sdef243, definition, (spl243 <=> (apart_point_and_line(intersection_point(sk2,X0),sk1) | convergent_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl243])], [avatar_definition])).
% 77.87/15.48  cnf(ssp376, plain, (~spl143 | spl3 | spl243), inference(avatar_split_clause, [status(thm)], [p2499, sdef3, sdef243])).
% 77.87/15.48  cnf(p2501, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | convergent_lines(sk1,X0) | convergent_lines(sk2,X0) | ~spl143), inference(resolution, [status(thm)], [p1984, p37])).
% 77.87/15.48  cnf(ssp377, plain, (~spl143 | spl10 | spl104), inference(avatar_split_clause, [status(thm)], [p2501, sdef10, sdef104])).
% 77.87/15.48  cnf(p2502, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | distinct_lines(sk1,sk2) | ~spl143), inference(resolution, [status(thm)], [p1984, p79])).
% 77.87/15.48  cnf(ssp378, plain, (~spl143 | spl104 | spl107), inference(avatar_split_clause, [status(thm)], [p2502, sdef104, sdef107])).
% 77.87/15.48  cnf(p2504, plain, (apart_point_and_line(intersection_point(sk1,sk2),sk1) | convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | ~spl143), inference(resolution, [status(thm)], [p1984, p38])).
% 77.87/15.48  cnf(ssp379, plain, (~spl143 | spl11 | spl98), inference(avatar_split_clause, [status(thm)], [p2504, sdef11, sdef98])).
% 77.87/15.48  cnf(p2506, plain, (apart_point_and_line(intersection_point(X0,sk2),sk1) | convergent_lines(sk0,X0) | convergent_lines(sk1,sk2) | ~spl143), inference(resolution, [status(thm)], [p1984, p39])).
% 77.87/15.48  fof(sdef244, definition, (spl244 <=> (apart_point_and_line(intersection_point(X0,sk2),sk1) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl244])], [avatar_definition])).
% 77.87/15.49  cnf(ssp380, plain, (~spl143 | spl13 | spl244), inference(avatar_split_clause, [status(thm)], [p2506, sdef13, sdef244])).
% 77.87/15.49  cnf(p2508, plain, (apart_point_and_line(intersection_point(sk2,sk1),sk1) | convergent_lines(sk2,sk0) | ~spl143), inference(resolution, [status(thm)], [p1984, p138])).
% 77.87/15.49  cnf(ssp381, plain, (~spl143 | spl14 | spl102), inference(avatar_split_clause, [status(thm)], [p2508, sdef14, sdef102])).
% 77.87/15.49  cnf(p2509, plain, (apart_point_and_line(intersection_point(sk1,sk2),sk1) | distinct_lines(sk0,sk2) | ~spl143), inference(resolution, [status(thm)], [p1984, p163])).
% 77.87/15.49  cnf(ssp382, plain, (~spl143 | spl98 | spl109), inference(avatar_split_clause, [status(thm)], [p2509, sdef98, sdef109])).
% 77.87/15.49  cnf(p2514, plain, (apart_point_and_line(intersection_point(sk2,X0),sk1) | convergent_lines(sk2,sk2) | convergent_lines(sk3,X0) | ~spl143), inference(resolution, [status(thm)], [p1984, p85])).
% 77.87/15.49  cnf(ssp383, plain, (~spl143 | spl5 | spl245), inference(avatar_split_clause, [status(thm)], [p2514, sdef5, sdef245])).
% 77.87/15.49  cnf(p2516, plain, (apart_point_and_line(intersection_point(sk3,sk2),sk1) | convergent_lines(sk2,X0) | convergent_lines(X0,sk2) | ~spl143), inference(resolution, [status(thm)], [p1984, p87])).
% 77.87/15.49  cnf(ssp384, plain, (~spl143 | spl44 | spl100), inference(avatar_split_clause, [status(thm)], [p2516, sdef44, sdef100])).
% 77.87/15.49  cnf(p2517, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | distinct_lines(sk2,sk1) | ~spl143), inference(resolution, [status(thm)], [p1984, p205])).
% 77.87/15.49  cnf(ssp385, plain, (~spl143 | spl104 | spl111), inference(avatar_split_clause, [status(thm)], [p2517, sdef104, sdef111])).
% 77.87/15.49  cnf(p2523, plain, (apart_point_and_line(intersection_point(sk2,sk1),sk1) | distinct_lines(sk2,sk0) | ~spl143), inference(resolution, [status(thm)], [p1984, p626])).
% 77.87/15.49  cnf(ssp386, plain, (~spl143 | spl102 | spl112), inference(avatar_split_clause, [status(thm)], [p2523, sdef102, sdef112])).
% 77.87/15.49  cnf(p2524, plain, (apart_point_and_line(intersection_point(sk2,sk0),sk1) | distinct_lines(sk1,sk2) | ~spl143), inference(resolution, [status(thm)], [p1984, p710])).
% 77.87/15.49  cnf(ssp387, plain, (~spl143 | spl107 | spl113), inference(avatar_split_clause, [status(thm)], [p2524, sdef107, sdef113])).
% 77.87/15.49  cnf(p2525, plain, (apart_point_and_line(intersection_point(sk2,sk1),sk1) | convergent_lines(sk0,X0) | convergent_lines(sk2,X0) | ~spl143), inference(resolution, [status(thm)], [p1984, p126])).
% 77.87/15.49  cnf(ssp388, plain, (~spl143 | spl64 | spl102), inference(avatar_split_clause, [status(thm)], [p2525, sdef64, sdef102])).
% 77.87/15.49  cnf(p2527, plain, (apart_point_and_line(intersection_point(sk2,X0),sk1) | convergent_lines(sk2,sk1) | convergent_lines(sk0,X0) | ~spl143), inference(resolution, [status(thm)], [p1984, p128])).
% 77.87/15.49  fof(sdef246, definition, (spl246 <=> (apart_point_and_line(intersection_point(sk2,X0),sk1) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl246])], [avatar_definition])).
% 77.87/15.49  cnf(ssp389, plain, (~spl143 | spl8 | spl246), inference(avatar_split_clause, [status(thm)], [p2527, sdef8, sdef246])).
% 77.87/15.49  cnf(p2531, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | convergent_lines(X0,sk1) | convergent_lines(X0,sk2) | ~spl143), inference(resolution, [status(thm)], [p1984, p130])).
% 77.87/15.49  cnf(ssp390, plain, (~spl143 | spl67 | spl104), inference(avatar_split_clause, [status(thm)], [p2531, sdef67, sdef104])).
% 77.87/15.49  cnf(p2532, plain, (apart_point_and_line(intersection_point(X0,sk2),sk1) | convergent_lines(X0,sk1) | convergent_lines(sk0,sk2) | ~spl143), inference(resolution, [status(thm)], [p1984, p131])).
% 77.87/15.49  cnf(ssp391, plain, (~spl143 | spl3 | spl247), inference(avatar_split_clause, [status(thm)], [p2532, sdef3, sdef247])).
% 77.87/15.49  cnf(p2534, plain, (apart_point_and_line(intersection_point(sk2,sk0),sk1) | convergent_lines(sk1,sk2) | ~spl143), inference(resolution, [status(thm)], [p1984, p1047])).
% 77.87/15.49  cnf(ssp392, plain, (~spl143 | spl13 | spl113), inference(avatar_split_clause, [status(thm)], [p2534, sdef13, sdef113])).
% 77.87/15.49  cnf(p2535, plain, (apart_point_and_line(intersection_point(sk1,sk2),sk1) | convergent_lines(sk2,sk0) | ~spl143), inference(resolution, [status(thm)], [p1984, p1050])).
% 77.87/15.49  cnf(ssp393, plain, (~spl143 | spl14 | spl98), inference(avatar_split_clause, [status(thm)], [p2535, sdef14, sdef98])).
% 77.87/15.49  cnf(p2536, plain, (apart_point_and_line(intersection_point(sk2,sk1),sk1) | distinct_lines(sk0,sk2) | ~spl143), inference(resolution, [status(thm)], [p1984, p1083])).
% 77.87/15.49  cnf(ssp394, plain, (~spl143 | spl102 | spl109), inference(avatar_split_clause, [status(thm)], [p2536, sdef102, sdef109])).
% 77.87/15.49  cnf(p2537, plain, (apart_point_and_line(intersection_point(sk2,X0),sk1) | convergent_lines(sk1,X0) | convergent_lines(sk0,X1) | convergent_lines(sk2,X1) | ~spl143), inference(resolution, [status(thm)], [p1984, p147])).
% 77.87/15.49  cnf(ssp395, plain, (~spl143 | spl64 | spl243), inference(avatar_split_clause, [status(thm)], [p2537, sdef64, sdef243])).
% 77.87/15.49  cnf(p2538, plain, (apart_point_and_line(intersection_point(sk2,X0),sk1) | convergent_lines(sk1,X1) | convergent_lines(sk2,X1) | convergent_lines(sk0,X0) | ~spl143), inference(resolution, [status(thm)], [p1984, p149])).
% 77.87/15.49  cnf(ssp396, plain, (~spl143 | spl10 | spl246), inference(avatar_split_clause, [status(thm)], [p2538, sdef10, sdef246])).
% 77.87/15.49  cnf(p2539, plain, (apart_point_and_line(intersection_point(sk1,sk2),sk1) | convergent_lines(X0,sk2) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl143), inference(resolution, [status(thm)], [p1984, p150])).
% 77.87/15.49  cnf(ssp397, plain, (~spl143 | spl79 | spl98), inference(avatar_split_clause, [status(thm)], [p2539, sdef79, sdef98])).
% 77.87/15.49  cnf(p2540, plain, (apart_point_and_line(intersection_point(X0,sk2),sk1) | convergent_lines(sk1,sk2) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl143), inference(resolution, [status(thm)], [p1984, p151])).
% 77.87/15.49  fof(sdef248, definition, (spl248 <=> (apart_point_and_line(intersection_point(X0,sk2),sk1) | convergent_lines(sk0,X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl248])], [avatar_definition])).
% 77.87/15.49  cnf(ssp398, plain, (~spl143 | spl13 | spl248), inference(avatar_split_clause, [status(thm)], [p2540, sdef13, sdef248])).
% 77.87/15.49  cnf(p2542, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | convergent_lines(sk1,X0) | convergent_lines(X1,X0) | convergent_lines(X1,sk2) | ~spl143), inference(resolution, [status(thm)], [p1984, p152])).
% 77.87/15.49  cnf(ssp399, plain, (~spl143 | spl86 | spl104), inference(avatar_split_clause, [status(thm)], [p2542, sdef86, sdef104])).
% 77.87/15.49  cnf(p2543, plain, (apart_point_and_line(intersection_point(X0,sk2),sk1) | convergent_lines(sk1,X1) | convergent_lines(X0,X1) | convergent_lines(sk0,sk2) | ~spl143), inference(resolution, [status(thm)], [p1984, p153])).
% 77.87/15.49  fof(sdef249, definition, (spl249 <=> (apart_point_and_line(intersection_point(X0,sk2),sk1) | convergent_lines(sk1,X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl249])], [avatar_definition])).
% 77.87/15.49  cnf(ssp400, plain, (~spl143 | spl3 | spl249), inference(avatar_split_clause, [status(thm)], [p2543, sdef3, sdef249])).
% 77.87/15.49  cnf(p2545, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | convergent_lines(sk1,sk2) | ~spl82 | ~spl143), inference(resolution, [status(thm)], [p1984, p1142])).
% 77.87/15.49  cnf(ssp401, plain, (~spl82 | ~spl143 | spl13 | spl104), inference(avatar_split_clause, [status(thm)], [p2545, sdef13, sdef104])).
% 77.87/15.49  cnf(p2546, plain, (apart_point_and_line(intersection_point(sk2,sk0),sk1) | distinct_lines(sk2,sk1) | ~spl143), inference(resolution, [status(thm)], [p1984, p1311])).
% 77.87/15.49  cnf(ssp402, plain, (~spl143 | spl111 | spl113), inference(avatar_split_clause, [status(thm)], [p2546, sdef111, sdef113])).
% 77.87/15.49  cnf(p2547, plain, (apart_point_and_line(intersection_point(sk2,X0),sk1) | convergent_lines(sk0,sk2) | convergent_lines(sk1,X1) | convergent_lines(X0,X1) | ~spl143), inference(resolution, [status(thm)], [p1984, p168])).
% 77.87/15.49  fof(sdef250, definition, (spl250 <=> (apart_point_and_line(intersection_point(sk2,X0),sk1) | convergent_lines(sk1,X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl250])], [avatar_definition])).
% 77.87/15.49  cnf(ssp403, plain, (~spl143 | spl3 | spl250), inference(avatar_split_clause, [status(thm)], [p2547, sdef3, sdef250])).
% 77.87/15.49  cnf(p2549, plain, (apart_point_and_line(intersection_point(sk2,X0),sk1) | convergent_lines(sk0,X1) | convergent_lines(X1,sk2) | convergent_lines(sk1,X0) | ~spl143), inference(resolution, [status(thm)], [p1984, p170])).
% 77.87/15.49  cnf(ssp404, plain, (~spl143 | spl11 | spl243), inference(avatar_split_clause, [status(thm)], [p2549, sdef11, sdef243])).
% 77.87/15.49  cnf(p2550, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | convergent_lines(sk2,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1) | ~spl143), inference(resolution, [status(thm)], [p1984, p171])).
% 77.87/15.49  cnf(ssp405, plain, (~spl143 | spl104 | spl121), inference(avatar_split_clause, [status(thm)], [p2550, sdef104, sdef121])).
% 77.87/15.49  cnf(p2551, plain, (apart_point_and_line(intersection_point(X0,sk2),sk1) | convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(sk2,X1) | ~spl143), inference(resolution, [status(thm)], [p1984, p172])).
% 77.87/15.49  cnf(ssp406, plain, (~spl143 | spl10 | spl244), inference(avatar_split_clause, [status(thm)], [p2551, sdef10, sdef244])).
% 77.87/15.49  cnf(p2552, plain, (apart_point_and_line(intersection_point(sk1,sk2),sk1) | convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(X1,sk2) | ~spl143), inference(resolution, [status(thm)], [p1984, p173])).
% 77.87/15.49  cnf(ssp407, plain, (~spl143 | spl98 | spl140), inference(avatar_split_clause, [status(thm)], [p2552, sdef98, sdef140])).
% 77.87/15.49  cnf(p2553, plain, (apart_point_and_line(intersection_point(X0,sk2),sk1) | convergent_lines(sk0,X1) | convergent_lines(X1,X0) | convergent_lines(sk1,sk2) | ~spl143), inference(resolution, [status(thm)], [p1984, p174])).
% 77.87/15.49  fof(sdef251, definition, (spl251 <=> (apart_point_and_line(intersection_point(X0,sk2),sk1) | convergent_lines(sk0,X1) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl251])], [avatar_definition])).
% 77.87/15.49  cnf(ssp408, plain, (~spl143 | spl13 | spl251), inference(avatar_split_clause, [status(thm)], [p2553, sdef13, sdef251])).
% 77.87/15.49  cnf(p2555, plain, (apart_point_and_line(intersection_point(sk2,X0),sk1) | convergent_lines(sk0,sk2) | convergent_lines(sk1,X1) | convergent_lines(X1,X0) | ~spl143), inference(resolution, [status(thm)], [p1984, p183])).
% 77.87/15.49  fof(sdef252, definition, (spl252 <=> (apart_point_and_line(intersection_point(sk2,X0),sk1) | convergent_lines(sk1,X1) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl252])], [avatar_definition])).
% 77.87/15.49  cnf(ssp409, plain, (~spl143 | spl3 | spl252), inference(avatar_split_clause, [status(thm)], [p2555, sdef3, sdef252])).
% 77.87/15.49  cnf(p2557, plain, (apart_point_and_line(intersection_point(sk2,X0),sk1) | convergent_lines(sk0,X1) | convergent_lines(sk1,sk2) | convergent_lines(X1,X0) | ~spl143), inference(resolution, [status(thm)], [p1984, p184])).
% 77.87/15.49  fof(sdef253, definition, (spl253 <=> (apart_point_and_line(intersection_point(sk2,X0),sk1) | convergent_lines(sk0,X1) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl253])], [avatar_definition])).
% 77.87/15.49  cnf(ssp410, plain, (~spl143 | spl13 | spl253), inference(avatar_split_clause, [status(thm)], [p2557, sdef13, sdef253])).
% 77.87/15.49  cnf(p2559, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | convergent_lines(sk1,X0) | convergent_lines(sk2,X1) | convergent_lines(X0,X1) | ~spl143), inference(resolution, [status(thm)], [p1984, p185])).
% 77.87/15.49  cnf(ssp411, plain, (~spl143 | spl104 | spl202), inference(avatar_split_clause, [status(thm)], [p2559, sdef104, sdef202])).
% 77.87/15.49  cnf(p2560, plain, (apart_point_and_line(intersection_point(sk1,sk2),sk1) | convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(sk2,X1) | ~spl143), inference(resolution, [status(thm)], [p1984, p186])).
% 77.87/15.49  cnf(ssp412, plain, (~spl143 | spl98 | spl141), inference(avatar_split_clause, [status(thm)], [p2560, sdef98, sdef141])).
% 77.87/15.49  cnf(p2561, plain, (apart_point_and_line(intersection_point(X0,sk2),sk1) | convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(X1,sk2) | ~spl143), inference(resolution, [status(thm)], [p1984, p187])).
% 77.87/15.49  cnf(ssp413, plain, (~spl143 | spl203 | spl244), inference(avatar_split_clause, [status(thm)], [p2561, sdef203, sdef244])).
% 77.87/15.49  cnf(p2563, plain, (apart_point_and_line(intersection_point(X0,sk2),sk1) | convergent_lines(sk0,X1) | convergent_lines(sk1,X0) | convergent_lines(X1,sk2) | ~spl143), inference(resolution, [status(thm)], [p1984, p188])).
% 77.87/15.49  cnf(ssp414, plain, (~spl143 | spl11 | spl254), inference(avatar_split_clause, [status(thm)], [p2563, sdef11, sdef254])).
% 77.87/15.49  cnf(p2567, plain, (apart_point_and_line(intersection_point(sk1,sk2),sk1) | distinct_lines(X0,sk2) | convergent_lines(sk0,X0) | ~spl143), inference(resolution, [status(thm)], [p1984, p198])).
% 77.87/15.49  cnf(ssp415, plain, (~spl143 | spl98 | spl142), inference(avatar_split_clause, [status(thm)], [p2567, sdef98, sdef142])).
% 77.87/15.49  cnf(p2568, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | distinct_lines(sk2,X0) | convergent_lines(sk1,X0) | ~spl143), inference(resolution, [status(thm)], [p1984, p199])).
% 77.87/15.49  cnf(ssp416, plain, (~spl143 | spl104 | spl206), inference(avatar_split_clause, [status(thm)], [p2568, sdef104, sdef206])).
% 77.87/15.49  cnf(p285, plain, (apart_point_and_line(X0,sk3) | distinct_points(X0,X1) | ~distinct_lines(X2,X3) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(intersection_point(sk0,sk1),X3) | apart_point_and_line(X1,X2) | apart_point_and_line(X1,X3) | ~spl1), inference(resolution, [status(thm)], [p56, c10])).
% 77.87/15.49  cnf(p2588, plain, (apart_point_and_line(X0,sk3) | distinct_points(X0,X1) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,sk0) | ~spl1), inference(resolution, [status(thm)], [p285, p77])).
% 77.87/15.49  fof(sdef255, definition, (spl255 <=> (apart_point_and_line(X0,sk3) | distinct_points(X0,X1) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,sk0))), introduced(definition, [new_symbols(naming, [spl255])], [avatar_definition])).
% 77.87/15.49  cnf(ssp417, plain, (~spl1 | spl16 | spl17 | spl255), inference(avatar_split_clause, [status(thm)], [p2588, sdef16, sdef17, sdef255])).
% 77.87/15.49  cnf(p294, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X1,X0) | distinct_lines(sk3,X2) | apart_point_and_line(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p56, c12])).
% 77.87/15.49  cnf(p2887, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk1),X0) | distinct_lines(sk3,sk3) | ~spl1 | ~spl23), inference(resolution, [status(thm)], [p294, p311])).
% 77.87/15.49  cnf(ssp418, plain, (~spl1 | ~spl23 | spl21 | spl85), inference(avatar_split_clause, [status(thm)], [p2887, sdef21, sdef85])).
% 77.87/15.49  cnf(p2895, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | distinct_lines(sk3,sk3) | ~spl1), inference(resolution, [status(thm)], [p294, p844])).
% 77.87/15.49  cnf(ssp419, plain, (~spl1 | spl4 | spl85), inference(avatar_split_clause, [status(thm)], [p2895, sdef4, sdef85])).
% 77.87/15.49  cnf(p1407, plain, (apart_point_and_line(intersection_point(sk3,sk2),sk1) | ~spl100), inference(avatar_component_clause, [status(thm)], [sdef100])).
% 77.87/15.49  cnf(p1550, plain, (distinct_lines(sk1,X0) | apart_point_and_line(intersection_point(sk3,sk2),X0) | ~spl100), inference(resolution, [status(thm)], [p1407, c12])).
% 77.87/15.49  cnf(p2996, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk2,sk2) | ~spl100), inference(resolution, [status(thm)], [p1550, p31])).
% 77.87/15.49  cnf(ssp420, plain, (~spl100 | spl5 | spl107), inference(avatar_split_clause, [status(thm)], [p2996, sdef5, sdef107])).
% 77.87/15.49  cnf(p2999, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk0,sk3) | convergent_lines(sk1,sk2) | ~spl100), inference(resolution, [status(thm)], [p1550, p39])).
% 77.87/15.49  cnf(ssp421, plain, (~spl100 | spl13 | spl20 | spl107), inference(avatar_split_clause, [status(thm)], [p2999, sdef13, sdef20, sdef107])).
% 77.87/15.49  cnf(p3002, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk2,X0) | convergent_lines(X0,sk2) | ~spl100), inference(resolution, [status(thm)], [p1550, p87])).
% 77.87/15.49  cnf(ssp422, plain, (~spl100 | spl44 | spl107), inference(avatar_split_clause, [status(thm)], [p3002, sdef44, sdef107])).
% 77.87/15.49  cnf(p3003, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk0,sk3) | ~spl11 | ~spl100), inference(resolution, [status(thm)], [p1550, p405])).
% 77.87/15.49  cnf(ssp423, plain, (~spl11 | ~spl100 | spl20 | spl107), inference(avatar_split_clause, [status(thm)], [p3003, sdef20, sdef107])).
% 77.87/15.49  cnf(p1408, plain, (apart_point_and_line(intersection_point(sk3,sk2),sk0) | ~spl101), inference(avatar_component_clause, [status(thm)], [sdef101])).
% 77.87/15.49  cnf(p1552, plain, (distinct_lines(sk0,X0) | apart_point_and_line(intersection_point(sk3,sk2),X0) | ~spl101), inference(resolution, [status(thm)], [p1408, c12])).
% 77.87/15.49  cnf(p3026, plain, (distinct_lines(sk0,sk3) | convergent_lines(sk2,sk2) | ~spl101), inference(resolution, [status(thm)], [p1552, p30])).
% 77.87/15.49  cnf(ssp424, plain, (~spl101 | spl5 | spl148), inference(avatar_split_clause, [status(thm)], [p3026, sdef5, sdef148])).
% 77.87/15.49  cnf(p3027, plain, (distinct_lines(sk0,sk2) | convergent_lines(sk2,sk2) | ~spl101), inference(resolution, [status(thm)], [p1552, p31])).
% 77.87/15.49  cnf(ssp425, plain, (~spl101 | spl5 | spl109), inference(avatar_split_clause, [status(thm)], [p3027, sdef5, sdef109])).
% 77.87/15.49  cnf(p3030, plain, (distinct_lines(sk0,sk3) | convergent_lines(sk0,sk3) | convergent_lines(sk1,sk2) | ~spl101), inference(resolution, [status(thm)], [p1552, p36])).
% 77.87/15.49  cnf(ssp426, plain, (~spl101 | spl13 | spl20 | spl148), inference(avatar_split_clause, [status(thm)], [p3030, sdef13, sdef20, sdef148])).
% 77.87/15.49  cnf(p3032, plain, (distinct_lines(sk0,sk3) | convergent_lines(sk2,X0) | convergent_lines(X0,sk2) | ~spl101), inference(resolution, [status(thm)], [p1552, p84])).
% 77.87/15.49  cnf(ssp427, plain, (~spl101 | spl44 | spl148), inference(avatar_split_clause, [status(thm)], [p3032, sdef44, sdef148])).
% 77.87/15.49  cnf(p3033, plain, (distinct_lines(sk0,sk2) | convergent_lines(sk2,X0) | convergent_lines(X0,sk2) | ~spl101), inference(resolution, [status(thm)], [p1552, p87])).
% 77.87/15.49  cnf(ssp428, plain, (~spl101 | spl44 | spl109), inference(avatar_split_clause, [status(thm)], [p3033, sdef44, sdef109])).
% 77.87/15.49  cnf(p3034, plain, (distinct_lines(sk0,sk3) | convergent_lines(sk0,sk3) | ~spl11 | ~spl101), inference(resolution, [status(thm)], [p1552, p403])).
% 77.87/15.49  cnf(ssp429, plain, (~spl11 | ~spl101 | spl20 | spl148), inference(avatar_split_clause, [status(thm)], [p3034, sdef20, sdef148])).
% 77.87/15.49  cnf(p1412, plain, (apart_point_and_line(intersection_point(sk2,sk1),sk0) | ~spl103), inference(avatar_component_clause, [status(thm)], [sdef103])).
% 77.87/15.49  cnf(p1622, plain, (distinct_lines(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk1),X0) | ~spl103), inference(resolution, [status(thm)], [p1412, c12])).
% 77.87/15.49  cnf(p3071, plain, (distinct_lines(sk0,sk2) | convergent_lines(sk0,sk2) | ~spl103), inference(resolution, [status(thm)], [p1622, p44])).
% 77.87/15.49  cnf(ssp430, plain, (~spl103 | spl3 | spl109), inference(avatar_split_clause, [status(thm)], [p3071, sdef3, sdef109])).
% 77.87/15.49  cnf(p3073, plain, (distinct_lines(sk0,sk2) | distinct_lines(sk3,sk1) | ~spl103), inference(resolution, [status(thm)], [p1622, p97])).
% 77.87/15.49  cnf(ssp431, plain, (~spl103 | spl109 | spl139), inference(avatar_split_clause, [status(thm)], [p3073, sdef109, sdef139])).
% 77.87/15.49  cnf(p3074, plain, (distinct_lines(sk0,sk2) | convergent_lines(sk1,sk3) | ~spl103), inference(resolution, [status(thm)], [p1622, p104])).
% 77.87/15.49  cnf(ssp432, plain, (~spl103 | spl28 | spl109), inference(avatar_split_clause, [status(thm)], [p3074, sdef28, sdef109])).
% 77.87/15.49  cnf(p3075, plain, (distinct_lines(sk0,sk2) | convergent_lines(sk2,sk0) | ~spl103), inference(resolution, [status(thm)], [p1622, p138])).
% 77.87/15.49  cnf(ssp433, plain, (~spl103 | spl14 | spl109), inference(avatar_split_clause, [status(thm)], [p3075, sdef14, sdef109])).
% 77.87/15.49  cnf(p3077, plain, (distinct_lines(sk0,sk2) | convergent_lines(sk3,X0) | convergent_lines(sk1,X0) | ~spl103), inference(resolution, [status(thm)], [p1622, p83])).
% 77.87/15.49  cnf(ssp434, plain, (~spl103 | spl25 | spl109), inference(avatar_split_clause, [status(thm)], [p3077, sdef25, sdef109])).
% 77.87/15.49  cnf(p3078, plain, (distinct_lines(sk0,sk2) | convergent_lines(sk2,sk2) | convergent_lines(sk3,sk1) | ~spl103), inference(resolution, [status(thm)], [p1622, p85])).
% 77.87/15.49  cnf(ssp435, plain, (~spl103 | spl5 | spl23 | spl109), inference(avatar_split_clause, [status(thm)], [p3078, sdef5, sdef23, sdef109])).
% 77.87/15.49  cnf(p3080, plain, (distinct_lines(sk0,sk2) | distinct_lines(sk2,sk0) | ~spl103), inference(resolution, [status(thm)], [p1622, p626])).
% 77.87/15.49  cnf(ssp436, plain, (~spl103 | spl109 | spl112), inference(avatar_split_clause, [status(thm)], [p3080, sdef109, sdef112])).
% 77.87/15.49  cnf(p3081, plain, (distinct_lines(sk0,sk2) | convergent_lines(sk0,X0) | convergent_lines(sk2,X0) | ~spl103), inference(resolution, [status(thm)], [p1622, p126])).
% 77.87/15.49  cnf(ssp437, plain, (~spl103 | spl64 | spl109), inference(avatar_split_clause, [status(thm)], [p3081, sdef64, sdef109])).
% 77.87/15.49  cnf(p3082, plain, (distinct_lines(sk0,sk2) | distinct_lines(sk0,sk2) | ~spl103), inference(resolution, [status(thm)], [p1622, p1083])).
% 77.87/15.49  cnf(ssp438, plain, (~spl103 | spl109), inference(avatar_split_clause, [status(thm)], [p3082, sdef109])).
% 77.87/15.49  cnf(p3083, plain, (distinct_lines(sk0,sk2) | convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | convergent_lines(sk1,sk1) | ~spl103), inference(resolution, [status(thm)], [p1622, p170])).
% 77.87/15.49  cnf(ssp439, plain, (~spl103 | spl11 | spl109 | spl126), inference(avatar_split_clause, [status(thm)], [p3083, sdef11, sdef109, sdef126])).
% 77.87/15.49  cnf(p1414, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | ~spl104), inference(avatar_component_clause, [status(thm)], [sdef104])).
% 77.87/15.49  cnf(p1624, plain, (distinct_lines(sk1,X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | ~spl104), inference(resolution, [status(thm)], [p1414, c12])).
% 77.87/15.49  cnf(p3093, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk2,sk1) | ~spl104), inference(resolution, [status(thm)], [p1624, p45])).
% 77.87/15.49  cnf(ssp440, plain, (~spl104 | spl8 | spl107), inference(avatar_split_clause, [status(thm)], [p3093, sdef8, sdef107])).
% 77.87/15.49  cnf(p3095, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk1,X0) | convergent_lines(sk2,X0) | ~spl104), inference(resolution, [status(thm)], [p1624, p37])).
% 77.87/15.49  cnf(ssp441, plain, (~spl104 | spl10 | spl107), inference(avatar_split_clause, [status(thm)], [p3095, sdef10, sdef107])).
% 77.87/15.49  cnf(p3096, plain, (distinct_lines(sk1,sk2) | distinct_lines(sk1,sk2) | ~spl104), inference(resolution, [status(thm)], [p1624, p79])).
% 77.87/15.49  cnf(ssp442, plain, (~spl104 | spl107), inference(avatar_split_clause, [status(thm)], [p3096, sdef107])).
% 77.87/15.49  cnf(p3097, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk0,sk0) | convergent_lines(sk1,sk2) | ~spl104), inference(resolution, [status(thm)], [p1624, p39])).
% 77.87/15.49  cnf(ssp443, plain, (~spl104 | spl13 | spl107 | spl127), inference(avatar_split_clause, [status(thm)], [p3097, sdef13, sdef107, sdef127])).
% 77.87/15.49  cnf(p3101, plain, (distinct_lines(sk1,sk2) | distinct_lines(sk2,sk1) | ~spl104), inference(resolution, [status(thm)], [p1624, p205])).
% 77.87/15.49  cnf(ssp444, plain, (~spl104 | spl107 | spl111), inference(avatar_split_clause, [status(thm)], [p3101, sdef107, sdef111])).
% 77.87/15.49  cnf(p3104, plain, (distinct_lines(sk1,sk2) | convergent_lines(X0,sk1) | convergent_lines(X0,sk2) | ~spl104), inference(resolution, [status(thm)], [p1624, p130])).
% 77.87/15.49  cnf(ssp445, plain, (~spl104 | spl67 | spl107), inference(avatar_split_clause, [status(thm)], [p3104, sdef67, sdef107])).
% 77.87/15.49  cnf(p3106, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk1,X0) | convergent_lines(X1,X0) | convergent_lines(X1,sk2) | ~spl104), inference(resolution, [status(thm)], [p1624, p152])).
% 77.87/15.49  cnf(ssp446, plain, (~spl104 | spl86 | spl107), inference(avatar_split_clause, [status(thm)], [p3106, sdef86, sdef107])).
% 77.87/15.49  cnf(p3107, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk1,sk2) | ~spl82 | ~spl104), inference(resolution, [status(thm)], [p1624, p1142])).
% 77.87/15.49  cnf(ssp447, plain, (~spl82 | ~spl104 | spl13 | spl107), inference(avatar_split_clause, [status(thm)], [p3107, sdef13, sdef107])).
% 77.87/15.49  cnf(p3108, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk2,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1) | ~spl104), inference(resolution, [status(thm)], [p1624, p171])).
% 77.87/15.49  cnf(ssp448, plain, (~spl104 | spl107 | spl121), inference(avatar_split_clause, [status(thm)], [p3108, sdef107, sdef121])).
% 77.87/15.49  cnf(p3110, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk1,X0) | convergent_lines(sk2,X1) | convergent_lines(X0,X1) | ~spl104), inference(resolution, [status(thm)], [p1624, p185])).
% 77.87/15.49  cnf(ssp449, plain, (~spl104 | spl107 | spl202), inference(avatar_split_clause, [status(thm)], [p3110, sdef107, sdef202])).
% 77.87/15.49  cnf(p3111, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk0,sk0) | convergent_lines(sk1,X0) | convergent_lines(X0,sk2) | ~spl104), inference(resolution, [status(thm)], [p1624, p187])).
% 77.87/15.49  cnf(ssp450, plain, (~spl104 | spl107 | spl127 | spl203), inference(avatar_split_clause, [status(thm)], [p3111, sdef107, sdef127, sdef203])).
% 77.87/15.49  cnf(p3114, plain, (distinct_lines(sk1,sk2) | distinct_lines(sk2,X0) | convergent_lines(sk1,X0) | ~spl104), inference(resolution, [status(thm)], [p1624, p199])).
% 77.87/15.49  cnf(ssp451, plain, (~spl104 | spl107 | spl206), inference(avatar_split_clause, [status(thm)], [p3114, sdef107, sdef206])).
% 77.87/15.49  cnf(p1443, plain, (apart_point_and_line(intersection_point(sk2,sk0),sk1) | ~spl113), inference(avatar_component_clause, [status(thm)], [sdef113])).
% 77.87/15.49  cnf(p1657, plain, (distinct_lines(sk1,X0) | apart_point_and_line(intersection_point(sk2,sk0),X0) | ~spl113), inference(resolution, [status(thm)], [p1443, c12])).
% 77.87/15.49  cnf(p3179, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk0,sk3) | ~spl113), inference(resolution, [status(thm)], [p1657, p104])).
% 77.87/15.49  cnf(ssp452, plain, (~spl113 | spl20 | spl107), inference(avatar_split_clause, [status(thm)], [p3179, sdef20, sdef107])).
% 77.87/15.49  cnf(p3182, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk3,X0) | convergent_lines(sk0,X0) | ~spl113), inference(resolution, [status(thm)], [p1657, p83])).
% 77.87/15.49  cnf(ssp453, plain, (~spl113 | spl107 | spl213), inference(avatar_split_clause, [status(thm)], [p3182, sdef107, sdef213])).
% 77.87/15.49  cnf(p3183, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk2,sk2) | convergent_lines(sk3,sk0) | ~spl113), inference(resolution, [status(thm)], [p1657, p85])).
% 77.87/15.49  cnf(ssp454, plain, (~spl113 | spl5 | spl29 | spl107), inference(avatar_split_clause, [status(thm)], [p3183, sdef5, sdef29, sdef107])).
% 77.87/15.49  cnf(p3184, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk0,sk0) | ~spl3 | ~spl113), inference(resolution, [status(thm)], [p1657, p428])).
% 77.87/15.49  cnf(ssp455, plain, (~spl3 | ~spl113 | spl107 | spl127), inference(avatar_split_clause, [status(thm)], [p3184, sdef107, sdef127])).
% 77.87/15.49  cnf(p3185, plain, (distinct_lines(sk1,sk2) | distinct_lines(sk0,sk3) | ~spl113), inference(resolution, [status(thm)], [p1657, p591])).
% 77.87/15.49  cnf(ssp456, plain, (~spl113 | spl107 | spl148), inference(avatar_split_clause, [status(thm)], [p3185, sdef107, sdef148])).
% 77.87/15.49  cnf(p3186, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk0,sk0) | ~spl11 | ~spl113), inference(resolution, [status(thm)], [p1657, p605])).
% 77.87/15.49  cnf(ssp457, plain, (~spl11 | ~spl113 | spl107 | spl127), inference(avatar_split_clause, [status(thm)], [p3186, sdef107, sdef127])).
% 77.87/15.49  cnf(p3187, plain, (distinct_lines(sk1,sk2) | distinct_lines(sk1,sk2) | ~spl113), inference(resolution, [status(thm)], [p1657, p710])).
% 77.87/15.49  cnf(ssp458, plain, (~spl113 | spl107), inference(avatar_split_clause, [status(thm)], [p3187, sdef107])).
% 77.87/15.49  cnf(p3188, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk2,sk1) | convergent_lines(sk0,sk0) | ~spl113), inference(resolution, [status(thm)], [p1657, p128])).
% 77.87/15.49  cnf(ssp459, plain, (~spl113 | spl8 | spl107 | spl127), inference(avatar_split_clause, [status(thm)], [p3188, sdef8, sdef107, sdef127])).
% 77.87/15.49  cnf(p3189, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk0,sk0) | ~spl64 | ~spl113), inference(resolution, [status(thm)], [p1657, p896])).
% 77.87/15.49  cnf(ssp460, plain, (~spl64 | ~spl113 | spl107 | spl127), inference(avatar_split_clause, [status(thm)], [p3189, sdef107, sdef127])).
% 77.87/15.49  cnf(p3190, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk1,sk2) | ~spl113), inference(resolution, [status(thm)], [p1657, p1047])).
% 77.87/15.49  cnf(ssp461, plain, (~spl113 | spl13 | spl107), inference(avatar_split_clause, [status(thm)], [p3190, sdef13, sdef107])).
% 77.87/15.49  cnf(p3191, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk1,X0) | convergent_lines(sk2,X0) | convergent_lines(sk0,sk0) | ~spl113), inference(resolution, [status(thm)], [p1657, p149])).
% 77.87/15.49  cnf(ssp462, plain, (~spl113 | spl10 | spl107 | spl127), inference(avatar_split_clause, [status(thm)], [p3191, sdef10, sdef107, sdef127])).
% 77.87/15.49  cnf(p3192, plain, (distinct_lines(sk1,sk2) | distinct_lines(sk2,sk1) | ~spl113), inference(resolution, [status(thm)], [p1657, p1311])).
% 77.87/15.49  cnf(ssp463, plain, (~spl113 | spl107 | spl111), inference(avatar_split_clause, [status(thm)], [p3192, sdef107, sdef111])).
% 77.87/15.49  cnf(p1854, plain, (distinct_lines(X0,sk3) | convergent_lines(sk0,X0) | ~spl134), inference(avatar_component_clause, [status(thm)], [sdef134])).
% 77.87/15.49  cnf(p1872, plain, (distinct_lines(X0,sk3) | ~apart_point_and_line(intersection_point(sk0,X0),X0) | ~spl134), inference(resolution, [status(thm)], [p1854, c9])).
% 77.87/15.49  cnf(p3287, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X0) | ~spl1 | ~spl134), inference(resolution, [status(thm)], [p1872, p56])).
% 77.87/15.49  cnf(ssp464, plain, (~spl1 | ~spl134 | spl22 | spl85), inference(avatar_split_clause, [status(thm)], [p3287, sdef22, sdef85])).
% 77.87/15.49  cnf(p3288, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk3),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | ~spl1 | ~spl134), inference(resolution, [status(thm)], [p1872, p275])).
% 77.87/15.49  cnf(ssp465, plain, (~spl1 | ~spl134 | spl85 | spl209), inference(avatar_split_clause, [status(thm)], [p3288, sdef85, sdef209])).
% 77.87/15.49  cnf(p3289, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X1) | distinct_points(X0,X1) | ~spl1 | ~spl134), inference(resolution, [status(thm)], [p1872, p276])).
% 77.87/15.49  cnf(ssp466, plain, (~spl1 | ~spl134 | spl85 | spl227), inference(avatar_split_clause, [status(thm)], [p3289, sdef85, sdef227])).
% 77.87/15.49  cnf(p1869, plain, (distinct_lines(sk3,X0) | convergent_lines(sk1,X0) | ~spl135), inference(avatar_component_clause, [status(thm)], [sdef135])).
% 77.87/15.49  cnf(p1892, plain, (distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(sk1,X0),X0) | ~spl135), inference(resolution, [status(thm)], [p1869, c9])).
% 77.87/15.49  cnf(p3292, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk3),X0) | ~spl1 | ~spl135), inference(resolution, [status(thm)], [p1892, p56])).
% 77.87/15.49  cnf(ssp467, plain, (~spl1 | ~spl135 | spl19 | spl85), inference(avatar_split_clause, [status(thm)], [p3292, sdef19, sdef85])).
% 77.87/15.49  cnf(p3293, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk1,sk3),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | ~spl1 | ~spl135), inference(resolution, [status(thm)], [p1892, p275])).
% 77.87/15.49  cnf(ssp468, plain, (~spl1 | ~spl135 | spl85 | spl207), inference(avatar_split_clause, [status(thm)], [p3293, sdef85, sdef207])).
% 77.87/15.49  cnf(p3294, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk3),X1) | distinct_points(X0,X1) | ~spl1 | ~spl135), inference(resolution, [status(thm)], [p1892, p276])).
% 77.87/15.49  cnf(ssp469, plain, (~spl1 | ~spl135 | spl85 | spl225), inference(avatar_split_clause, [status(thm)], [p3294, sdef85, sdef225])).
% 77.87/15.49  cnf(p1933, plain, (apart_point_and_line(intersection_point(sk1,sk2),sk3) | ~spl137), inference(avatar_component_clause, [status(thm)], [sdef137])).
% 77.87/15.49  cnf(p1935, plain, (distinct_lines(sk3,X0) | apart_point_and_line(intersection_point(sk1,sk2),X0) | ~spl137), inference(resolution, [status(thm)], [p1933, c12])).
% 77.87/15.49  cnf(p3310, plain, (distinct_lines(sk3,sk1) | convergent_lines(sk0,sk2) | ~spl137), inference(resolution, [status(thm)], [p1935, p27])).
% 77.87/15.49  cnf(ssp470, plain, (~spl137 | spl3 | spl139), inference(avatar_split_clause, [status(thm)], [p3310, sdef3, sdef139])).
% 77.87/15.49  cnf(p35, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | ~apart_point_and_line(intersection_point(sk1,X1),sk1), inference(resolution, [status(thm)], [p29, c8])).
% 77.87/15.49  cnf(p3313, plain, (distinct_lines(sk3,sk1) | convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | ~spl137), inference(resolution, [status(thm)], [p1935, p35])).
% 77.87/15.49  cnf(ssp471, plain, (~spl137 | spl11 | spl139), inference(avatar_split_clause, [status(thm)], [p3313, sdef11, sdef139])).
% 77.87/15.49  cnf(p162, plain, distinct_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk1,X0),sk1), inference(resolution, [status(thm)], [p144, c8])).
% 77.87/15.49  cnf(p3314, plain, (distinct_lines(sk3,sk1) | distinct_lines(sk0,sk2) | ~spl137), inference(resolution, [status(thm)], [p1935, p162])).
% 77.87/15.49  cnf(ssp472, plain, (~spl137 | spl109 | spl139), inference(avatar_split_clause, [status(thm)], [p3314, sdef109, sdef139])).
% 77.87/15.49  cnf(p793, plain, distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(X0,sk2),X0), inference(resolution, [status(thm)], [p784, c8])).
% 77.87/15.49  cnf(p3315, plain, (distinct_lines(sk3,sk1) | distinct_lines(sk3,sk1) | ~spl137), inference(resolution, [status(thm)], [p1935, p793])).
% 77.87/15.49  cnf(ssp473, plain, (~spl137 | spl139), inference(avatar_split_clause, [status(thm)], [p3315, sdef139])).
% 77.87/15.49  cnf(p3316, plain, (distinct_lines(sk3,sk1) | convergent_lines(sk2,sk0) | ~spl137), inference(resolution, [status(thm)], [p1935, p1048])).
% 77.87/15.49  cnf(ssp474, plain, (~spl137 | spl14 | spl139), inference(avatar_split_clause, [status(thm)], [p3316, sdef14, sdef139])).
% 77.87/15.49  cnf(p146, plain, convergent_lines(X0,X1) | convergent_lines(sk0,X2) | convergent_lines(X0,X2) | ~apart_point_and_line(intersection_point(sk1,X1),sk1), inference(resolution, [status(thm)], [p40, c8])).
% 77.87/15.49  cnf(p3317, plain, (distinct_lines(sk3,sk1) | convergent_lines(X0,sk2) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl137), inference(resolution, [status(thm)], [p1935, p146])).
% 77.87/15.49  cnf(ssp475, plain, (~spl137 | spl79 | spl139), inference(avatar_split_clause, [status(thm)], [p3317, sdef79, sdef139])).
% 77.87/15.49  cnf(p169, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(X1,X2) | ~apart_point_and_line(intersection_point(sk1,X2),sk1), inference(resolution, [status(thm)], [p41, c8])).
% 77.87/15.49  cnf(p3318, plain, (distinct_lines(sk3,sk1) | convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(X1,sk2) | ~spl137), inference(resolution, [status(thm)], [p1935, p169])).
% 77.87/15.49  cnf(ssp476, plain, (~spl137 | spl139 | spl140), inference(avatar_split_clause, [status(thm)], [p3318, sdef139, sdef140])).
% 77.87/15.49  cnf(p182, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(X2,X1) | ~apart_point_and_line(intersection_point(sk1,X2),sk1), inference(resolution, [status(thm)], [p42, c8])).
% 77.87/15.49  cnf(p3319, plain, (distinct_lines(sk3,sk1) | convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(sk2,X1) | ~spl137), inference(resolution, [status(thm)], [p1935, p182])).
% 77.87/15.49  cnf(ssp477, plain, (~spl137 | spl139 | spl141), inference(avatar_split_clause, [status(thm)], [p3319, sdef139, sdef141])).
% 77.87/15.49  cnf(p195, plain, distinct_lines(X0,X1) | convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk1,X1),sk1), inference(resolution, [status(thm)], [p67, c8])).
% 77.87/15.49  cnf(p3320, plain, (distinct_lines(sk3,sk1) | distinct_lines(X0,sk2) | convergent_lines(sk0,X0) | ~spl137), inference(resolution, [status(thm)], [p1935, p195])).
% 77.87/15.49  cnf(ssp478, plain, (~spl137 | spl139 | spl142), inference(avatar_split_clause, [status(thm)], [p3320, sdef139, sdef142])).
% 77.87/15.49  cnf(p1961, plain, (distinct_lines(X0,sk2) | convergent_lines(sk0,X0) | ~spl142), inference(avatar_component_clause, [status(thm)], [sdef142])).
% 77.87/15.49  cnf(p1965, plain, (distinct_lines(X0,sk2) | ~apart_point_and_line(intersection_point(sk0,X0),X0) | ~spl142), inference(resolution, [status(thm)], [p1961, c9])).
% 77.87/15.49  cnf(p3353, plain, (distinct_lines(sk2,sk2) | distinct_lines(sk1,sk2) | ~spl104 | ~spl142), inference(resolution, [status(thm)], [p1965, p1624])).
% 77.87/15.49  cnf(ssp479, plain, (~spl104 | ~spl142 | spl30 | spl107), inference(avatar_split_clause, [status(thm)], [p3353, sdef30, sdef107])).
% 77.87/15.49  cnf(p2037, plain, (apart_point_and_line(intersection_point(sk1,sk0),sk2) | ~spl160), inference(avatar_component_clause, [status(thm)], [sdef160])).
% 77.87/15.49  cnf(p2229, plain, (distinct_lines(sk2,X0) | apart_point_and_line(intersection_point(sk1,sk0),X0) | ~spl160), inference(resolution, [status(thm)], [p2037, c12])).
% 77.87/15.49  cnf(p3427, plain, (distinct_lines(sk2,sk1) | convergent_lines(sk0,sk0) | ~spl160), inference(resolution, [status(thm)], [p2229, p27])).
% 77.87/15.49  cnf(ssp480, plain, (~spl160 | spl111 | spl127), inference(avatar_split_clause, [status(thm)], [p3427, sdef111, sdef127])).
% 77.87/15.49  cnf(p3428, plain, (distinct_lines(sk2,sk0) | convergent_lines(sk0,sk0) | ~spl160), inference(resolution, [status(thm)], [p2229, p28])).
% 77.87/15.49  cnf(ssp481, plain, (~spl160 | spl112 | spl127), inference(avatar_split_clause, [status(thm)], [p3428, sdef112, sdef127])).
% 77.87/15.49  cnf(p2055, plain, (apart_point_and_line(intersection_point(sk0,sk3),sk2) | ~spl166), inference(avatar_component_clause, [status(thm)], [sdef166])).
% 77.87/15.49  cnf(p2454, plain, (distinct_lines(sk2,X0) | apart_point_and_line(intersection_point(sk0,sk3),X0) | ~spl166), inference(resolution, [status(thm)], [p2055, c12])).
% 77.87/15.49  cnf(p3483, plain, (distinct_lines(sk2,sk0) | convergent_lines(sk3,sk1) | ~spl166), inference(resolution, [status(thm)], [p2454, p43])).
% 77.87/15.49  cnf(ssp482, plain, (~spl166 | spl23 | spl112), inference(avatar_split_clause, [status(thm)], [p3483, sdef23, sdef112])).
% 77.87/15.49  cnf(p3485, plain, (distinct_lines(sk2,sk0) | convergent_lines(sk1,X0) | convergent_lines(sk3,X0) | ~spl166), inference(resolution, [status(thm)], [p2454, p34])).
% 77.87/15.49  cnf(ssp483, plain, (~spl166 | spl25 | spl112), inference(avatar_split_clause, [status(thm)], [p3485, sdef25, sdef112])).
% 77.87/15.49  cnf(p3486, plain, (distinct_lines(sk2,sk0) | convergent_lines(sk0,sk0) | convergent_lines(sk1,sk3) | ~spl166), inference(resolution, [status(thm)], [p2454, p36])).
% 77.87/15.49  cnf(ssp484, plain, (~spl166 | spl28 | spl112 | spl127), inference(avatar_split_clause, [status(thm)], [p3486, sdef28, sdef112, sdef127])).
% 77.87/15.49  cnf(p105, plain, convergent_lines(sk2,X0) | ~apart_point_and_line(intersection_point(X0,sk3),X0), inference(resolution, [status(thm)], [p82, c8])).
% 77.87/15.49  cnf(p3488, plain, (distinct_lines(sk2,sk0) | convergent_lines(sk2,sk0) | ~spl166), inference(resolution, [status(thm)], [p2454, p105])).
% 77.87/15.49  cnf(ssp485, plain, (~spl166 | spl14 | spl112), inference(avatar_split_clause, [status(thm)], [p3488, sdef14, sdef112])).
% 77.87/15.49  cnf(p3490, plain, (distinct_lines(sk2,sk0) | distinct_lines(sk3,sk1) | ~spl166), inference(resolution, [status(thm)], [p2454, p204])).
% 77.87/15.49  cnf(ssp486, plain, (~spl166 | spl112 | spl139), inference(avatar_split_clause, [status(thm)], [p3490, sdef112, sdef139])).
% 77.87/15.49  cnf(p3494, plain, (distinct_lines(sk2,sk0) | convergent_lines(X0,sk1) | convergent_lines(X0,sk3) | ~spl166), inference(resolution, [status(thm)], [p2454, p127])).
% 77.87/15.49  cnf(ssp487, plain, (~spl166 | spl112 | spl215), inference(avatar_split_clause, [status(thm)], [p3494, sdef112, sdef215])).
% 77.87/15.49  cnf(p841, plain, convergent_lines(X0,sk2) | ~apart_point_and_line(intersection_point(X0,sk3),X0), inference(resolution, [status(thm)], [p828, c8])).
% 77.87/15.49  cnf(p3495, plain, (distinct_lines(sk2,sk0) | convergent_lines(sk0,sk2) | ~spl166), inference(resolution, [status(thm)], [p2454, p841])).
% 77.87/15.49  cnf(ssp488, plain, (~spl166 | spl3 | spl112), inference(avatar_split_clause, [status(thm)], [p3495, sdef3, sdef112])).
% 77.87/15.49  cnf(p858, plain, distinct_lines(X0,sk2) | ~apart_point_and_line(intersection_point(X0,sk3),X0), inference(resolution, [status(thm)], [p848, c8])).
% 77.87/15.49  cnf(p3496, plain, (distinct_lines(sk2,sk0) | distinct_lines(sk0,sk2) | ~spl166), inference(resolution, [status(thm)], [p2454, p858])).
% 77.87/15.49  cnf(ssp489, plain, (~spl166 | spl109 | spl112), inference(avatar_split_clause, [status(thm)], [p3496, sdef109, sdef112])).
% 77.87/15.49  cnf(p3498, plain, (distinct_lines(sk2,sk0) | convergent_lines(sk1,X0) | convergent_lines(X1,X0) | convergent_lines(X1,sk3) | ~spl166), inference(resolution, [status(thm)], [p2454, p148])).
% 77.87/15.49  cnf(ssp490, plain, (~spl166 | spl87 | spl112), inference(avatar_split_clause, [status(thm)], [p3498, sdef87, sdef112])).
% 77.87/15.49  cnf(p3499, plain, (distinct_lines(sk2,sk0) | convergent_lines(sk1,sk3) | ~spl74 | ~spl166), inference(resolution, [status(thm)], [p2454, p1106])).
% 77.87/15.49  cnf(ssp491, plain, (~spl74 | ~spl166 | spl28 | spl112), inference(avatar_split_clause, [status(thm)], [p3499, sdef28, sdef112])).
% 77.87/15.49  cnf(p3500, plain, (distinct_lines(sk2,sk0) | convergent_lines(sk3,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1) | ~spl166), inference(resolution, [status(thm)], [p2454, p167])).
% 77.87/15.49  cnf(ssp492, plain, (~spl166 | spl112 | spl122), inference(avatar_split_clause, [status(thm)], [p3500, sdef112, sdef122])).
% 77.87/15.49  cnf(p3502, plain, (distinct_lines(sk2,sk0) | convergent_lines(sk1,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1) | ~spl166), inference(resolution, [status(thm)], [p2454, p181])).
% 77.87/15.49  cnf(ssp493, plain, (~spl166 | spl112 | spl130), inference(avatar_split_clause, [status(thm)], [p3502, sdef112, sdef130])).
% 77.87/15.49  cnf(p3503, plain, (distinct_lines(sk2,sk0) | convergent_lines(sk0,sk0) | convergent_lines(sk1,X0) | convergent_lines(X0,sk3) | ~spl166), inference(resolution, [status(thm)], [p2454, p183])).
% 77.87/15.49  cnf(ssp494, plain, (~spl166 | spl112 | spl127 | spl132), inference(avatar_split_clause, [status(thm)], [p3503, sdef112, sdef127, sdef132])).
% 77.87/15.49  cnf(p3504, plain, (distinct_lines(sk2,sk0) | distinct_lines(sk3,X0) | convergent_lines(sk1,X0) | ~spl166), inference(resolution, [status(thm)], [p2454, p196])).
% 77.87/15.49  cnf(ssp495, plain, (~spl166 | spl112 | spl135), inference(avatar_split_clause, [status(thm)], [p3504, sdef112, sdef135])).
% 77.87/15.49  cnf(p1871, plain, (distinct_lines(X0,sk3) | ~apart_point_and_line(intersection_point(sk0,X0),sk0) | ~spl134), inference(resolution, [status(thm)], [p1854, c8])).
% 77.87/15.49  cnf(p3510, plain, (distinct_lines(sk2,sk0) | distinct_lines(sk3,sk3) | ~spl134 | ~spl166), inference(resolution, [status(thm)], [p2454, p1871])).
% 77.87/15.49  cnf(ssp496, plain, (~spl134 | ~spl166 | spl85 | spl112), inference(avatar_split_clause, [status(thm)], [p3510, sdef85, sdef112])).
% 77.87/15.49  cnf(p2058, plain, (apart_point_and_line(intersection_point(sk3,sk1),sk2) | ~spl168), inference(avatar_component_clause, [status(thm)], [sdef168])).
% 77.87/15.49  cnf(p2461, plain, (distinct_lines(sk2,X0) | apart_point_and_line(intersection_point(sk3,sk1),X0) | ~spl168), inference(resolution, [status(thm)], [p2058, c12])).
% 77.87/15.49  cnf(p3679, plain, (distinct_lines(sk2,sk1) | convergent_lines(sk2,sk1) | ~spl168), inference(resolution, [status(thm)], [p2461, p31])).
% 77.87/15.49  cnf(ssp497, plain, (~spl168 | spl8 | spl111), inference(avatar_split_clause, [status(thm)], [p3679, sdef8, sdef111])).
% 77.87/15.49  cnf(p3681, plain, (distinct_lines(sk2,sk1) | convergent_lines(sk0,sk3) | ~spl168), inference(resolution, [status(thm)], [p2461, p46])).
% 77.87/15.49  cnf(ssp498, plain, (~spl168 | spl20 | spl111), inference(avatar_split_clause, [status(thm)], [p3681, sdef20, sdef111])).
% 77.87/15.49  cnf(p3683, plain, (distinct_lines(sk2,sk1) | convergent_lines(sk3,sk0) | ~spl168), inference(resolution, [status(thm)], [p2461, p139])).
% 77.87/15.49  cnf(ssp499, plain, (~spl168 | spl29 | spl111), inference(avatar_split_clause, [status(thm)], [p3683, sdef29, sdef111])).
% 77.87/15.49  cnf(p596, plain, distinct_lines(sk2,X0) | ~apart_point_and_line(intersection_point(sk3,X0),X0), inference(resolution, [status(thm)], [p366, c9])).
% 77.87/15.49  cnf(p3687, plain, (distinct_lines(sk2,sk1) | distinct_lines(sk2,sk1) | ~spl168), inference(resolution, [status(thm)], [p2461, p596])).
% 77.87/15.49  cnf(ssp500, plain, (~spl168 | spl111), inference(avatar_split_clause, [status(thm)], [p3687, sdef111])).
% 77.87/15.49  cnf(p129, plain, convergent_lines(sk0,X0) | convergent_lines(X1,X0) | ~apart_point_and_line(intersection_point(X1,sk1),sk1), inference(resolution, [status(thm)], [p47, c9])).
% 77.87/15.49  cnf(p3689, plain, (distinct_lines(sk2,sk1) | convergent_lines(sk0,X0) | convergent_lines(sk3,X0) | ~spl168), inference(resolution, [status(thm)], [p2461, p129])).
% 77.87/15.49  cnf(ssp501, plain, (~spl168 | spl111 | spl213), inference(avatar_split_clause, [status(thm)], [p3689, sdef111, sdef213])).
% 77.87/15.49  cnf(p1084, plain, distinct_lines(sk0,X0) | ~apart_point_and_line(intersection_point(X0,sk1),sk1), inference(resolution, [status(thm)], [p1074, c9])).
% 77.87/15.49  cnf(p3690, plain, (distinct_lines(sk2,sk1) | distinct_lines(sk0,sk3) | ~spl168), inference(resolution, [status(thm)], [p2461, p1084])).
% 77.87/15.49  cnf(ssp502, plain, (~spl168 | spl111 | spl148), inference(avatar_split_clause, [status(thm)], [p3690, sdef111, sdef148])).
% 77.87/15.49  cnf(p440, plain, (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(sk3,X0),X0) | ~spl25), inference(resolution, [status(thm)], [p298, c9])).
% 77.87/15.49  cnf(p3691, plain, (distinct_lines(sk2,sk1) | convergent_lines(sk1,sk1) | ~spl25 | ~spl168), inference(resolution, [status(thm)], [p2461, p440])).
% 77.87/15.49  cnf(ssp503, plain, (~spl25 | ~spl168 | spl111 | spl126), inference(avatar_split_clause, [status(thm)], [p3691, sdef111, sdef126])).
% 77.87/15.49  cnf(p526, plain, (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(sk3,X0),X0) | ~spl28), inference(resolution, [status(thm)], [p317, c9])).
% 77.87/15.49  cnf(p3692, plain, (distinct_lines(sk2,sk1) | convergent_lines(sk1,sk1) | ~spl28 | ~spl168), inference(resolution, [status(thm)], [p2461, p526])).
% 77.87/15.49  cnf(ssp504, plain, (~spl28 | ~spl168 | spl111 | spl126), inference(avatar_split_clause, [status(thm)], [p3692, sdef111, sdef126])).
% 77.87/15.49  cnf(p3693, plain, (distinct_lines(sk2,sk1) | convergent_lines(sk0,X0) | convergent_lines(X0,sk3) | convergent_lines(sk1,sk1) | ~spl168), inference(resolution, [status(thm)], [p2461, p174])).
% 77.87/15.49  cnf(ssp505, plain, (~spl168 | spl26 | spl111 | spl126), inference(avatar_split_clause, [status(thm)], [p3693, sdef26, sdef111, sdef126])).
% 77.87/15.49  cnf(p86, plain, convergent_lines(sk3,X0) | convergent_lines(X1,X0) | ~apart_point_and_line(intersection_point(sk2,X1),X1), inference(resolution, [status(thm)], [p32, c9])).
% 77.87/15.49  cnf(p1560, plain, (convergent_lines(sk3,X0) | convergent_lines(sk1,X0) | ~spl102), inference(resolution, [status(thm)], [p1411, p86])).
% 77.87/15.49  cnf(p1800, plain, (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(sk3,X0),X0) | ~spl102), inference(resolution, [status(thm)], [p1560, c9])).
% 77.87/15.49  cnf(p3699, plain, (distinct_lines(sk2,sk1) | convergent_lines(sk1,sk1) | ~spl102 | ~spl168), inference(resolution, [status(thm)], [p2461, p1800])).
% 77.87/15.49  cnf(ssp506, plain, (~spl102 | ~spl168 | spl111 | spl126), inference(avatar_split_clause, [status(thm)], [p3699, sdef111, sdef126])).
% 77.87/15.49  cnf(p1833, plain, (convergent_lines(sk1,X0) | convergent_lines(sk3,X0) | ~spl132), inference(resolution, [status(thm)], [p1822, c5])).
% 77.87/15.49  cnf(p1860, plain, (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(sk3,X0),X0) | ~spl132), inference(resolution, [status(thm)], [p1833, c9])).
% 77.87/15.49  cnf(p3700, plain, (distinct_lines(sk2,sk1) | convergent_lines(sk1,sk1) | ~spl132 | ~spl168), inference(resolution, [status(thm)], [p2461, p1860])).
% 77.87/15.49  cnf(ssp507, plain, (~spl132 | ~spl168 | spl111 | spl126), inference(avatar_split_clause, [status(thm)], [p3700, sdef111, sdef126])).
% 77.87/15.49  cnf(p2061, plain, (apart_point_and_line(intersection_point(sk1,sk3),sk2) | ~spl170), inference(avatar_component_clause, [status(thm)], [sdef170])).
% 77.87/15.49  cnf(p2469, plain, (distinct_lines(sk2,X0) | apart_point_and_line(intersection_point(sk1,sk3),X0) | ~spl170), inference(resolution, [status(thm)], [p2061, c12])).
% 77.87/15.49  cnf(p3731, plain, (distinct_lines(sk2,sk1) | convergent_lines(sk0,sk3) | ~spl170), inference(resolution, [status(thm)], [p2469, p27])).
% 77.87/15.49  cnf(ssp508, plain, (~spl170 | spl20 | spl111), inference(avatar_split_clause, [status(thm)], [p3731, sdef20, sdef111])).
% 77.87/15.49  cnf(p3734, plain, (distinct_lines(sk2,sk1) | convergent_lines(sk0,X0) | convergent_lines(X0,sk3) | ~spl170), inference(resolution, [status(thm)], [p2469, p35])).
% 77.87/15.49  cnf(ssp509, plain, (~spl170 | spl26 | spl111), inference(avatar_split_clause, [status(thm)], [p3734, sdef26, sdef111])).
% 77.87/15.49  cnf(p3735, plain, (distinct_lines(sk2,sk1) | convergent_lines(sk2,sk1) | ~spl170), inference(resolution, [status(thm)], [p2469, p105])).
% 77.87/15.49  cnf(ssp510, plain, (~spl170 | spl8 | spl111), inference(avatar_split_clause, [status(thm)], [p3735, sdef8, sdef111])).
% 77.87/15.49  cnf(p3736, plain, (distinct_lines(sk2,sk1) | distinct_lines(sk0,sk3) | ~spl170), inference(resolution, [status(thm)], [p2469, p162])).
% 77.87/15.49  cnf(ssp511, plain, (~spl170 | spl111 | spl148), inference(avatar_split_clause, [status(thm)], [p3736, sdef111, sdef148])).
% 77.87/15.49  cnf(p3741, plain, (distinct_lines(sk2,sk1) | convergent_lines(sk1,sk2) | ~spl170), inference(resolution, [status(thm)], [p2469, p841])).
% 77.87/15.49  cnf(ssp512, plain, (~spl170 | spl13 | spl111), inference(avatar_split_clause, [status(thm)], [p3741, sdef13, sdef111])).
% 77.87/15.49  cnf(p3742, plain, (distinct_lines(sk2,sk1) | distinct_lines(sk1,sk2) | ~spl170), inference(resolution, [status(thm)], [p2469, p858])).
% 77.87/15.49  cnf(ssp513, plain, (~spl170 | spl107 | spl111), inference(avatar_split_clause, [status(thm)], [p3742, sdef107, sdef111])).
% 77.87/15.49  cnf(p3743, plain, (distinct_lines(sk2,sk1) | convergent_lines(sk3,sk0) | ~spl170), inference(resolution, [status(thm)], [p2469, p1048])).
% 77.87/15.49  cnf(ssp514, plain, (~spl170 | spl29 | spl111), inference(avatar_split_clause, [status(thm)], [p3743, sdef29, sdef111])).
% 77.87/15.49  cnf(p3744, plain, (distinct_lines(sk2,sk1) | convergent_lines(X0,sk3) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl170), inference(resolution, [status(thm)], [p2469, p146])).
% 77.87/15.49  cnf(ssp515, plain, (~spl170 | spl80 | spl111), inference(avatar_split_clause, [status(thm)], [p3744, sdef80, sdef111])).
% 77.87/15.49  cnf(p3745, plain, (distinct_lines(sk2,sk1) | convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(X1,sk3) | ~spl170), inference(resolution, [status(thm)], [p2469, p169])).
% 77.87/15.49  cnf(ssp516, plain, (~spl170 | spl111 | spl124), inference(avatar_split_clause, [status(thm)], [p3745, sdef111, sdef124])).
% 77.87/15.49  cnf(p3746, plain, (distinct_lines(sk2,sk1) | convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(sk3,X1) | ~spl170), inference(resolution, [status(thm)], [p2469, p182])).
% 77.87/15.49  cnf(ssp517, plain, (~spl170 | spl111 | spl131), inference(avatar_split_clause, [status(thm)], [p3746, sdef111, sdef131])).
% 77.87/15.49  cnf(p3748, plain, (distinct_lines(sk2,sk1) | distinct_lines(X0,sk3) | convergent_lines(sk0,X0) | ~spl170), inference(resolution, [status(thm)], [p2469, p195])).
% 77.87/15.49  cnf(ssp518, plain, (~spl170 | spl111 | spl134), inference(avatar_split_clause, [status(thm)], [p3748, sdef111, sdef134])).
% 77.87/15.49  cnf(p70, plain, distinct_lines(X0,X1) | convergent_lines(sk1,X1) | convergent_lines(sk0,X2) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [c13, p29])).
% 77.87/15.49  cnf(p423, plain, distinct_lines(X0,X1) | convergent_lines(sk1,X1) | convergent_lines(sk0,X2) | ~apart_point_and_line(intersection_point(X2,X0),X0), inference(resolution, [status(thm)], [p70, c9])).
% 77.87/15.49  cnf(p3762, plain, (distinct_lines(sk3,X0) | convergent_lines(sk1,X0) | convergent_lines(sk0,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(X1,sk3),X2) | ~spl1), inference(resolution, [status(thm)], [p423, p56])).
% 77.87/15.49  cnf(ssp519, plain, (~spl1 | spl123 | spl135), inference(avatar_split_clause, [status(thm)], [p3762, sdef123, sdef135])).
% 77.87/15.49  cnf(p3763, plain, (distinct_lines(sk3,X0) | convergent_lines(sk1,X0) | convergent_lines(sk0,X1) | distinct_points(intersection_point(X1,sk3),X2) | distinct_points(intersection_point(sk0,sk1),X3) | distinct_points(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p423, p275])).
% 77.87/15.49  cnf(ssp520, plain, (~spl1 | spl135 | spl211), inference(avatar_split_clause, [status(thm)], [p3763, sdef135, sdef211])).
% 77.87/15.49  cnf(p2064, plain, (apart_point_and_line(intersection_point(sk3,sk0),sk2) | ~spl172), inference(avatar_component_clause, [status(thm)], [sdef172])).
% 77.87/15.49  cnf(p2482, plain, (distinct_lines(sk2,X0) | apart_point_and_line(intersection_point(sk3,sk0),X0) | ~spl172), inference(resolution, [status(thm)], [p2064, c12])).
% 77.87/15.49  cnf(p3862, plain, (distinct_lines(sk2,sk0) | convergent_lines(sk2,sk0) | ~spl172), inference(resolution, [status(thm)], [p2482, p31])).
% 77.87/15.49  cnf(ssp521, plain, (~spl172 | spl14 | spl112), inference(avatar_split_clause, [status(thm)], [p3862, sdef14, sdef112])).
% 77.87/15.49  cnf(p3868, plain, (distinct_lines(sk2,sk0) | distinct_lines(sk2,sk0) | ~spl172), inference(resolution, [status(thm)], [p2482, p596])).
% 77.87/15.49  cnf(ssp522, plain, (~spl172 | spl112), inference(avatar_split_clause, [status(thm)], [p3868, sdef112])).
% 77.87/15.49  cnf(p3870, plain, (distinct_lines(sk2,sk0) | convergent_lines(sk3,sk1) | convergent_lines(sk0,sk0) | ~spl172), inference(resolution, [status(thm)], [p2482, p131])).
% 77.87/15.49  cnf(ssp523, plain, (~spl172 | spl23 | spl112 | spl127), inference(avatar_split_clause, [status(thm)], [p3870, sdef23, sdef112, sdef127])).
% 77.87/15.49  cnf(p3871, plain, (distinct_lines(sk2,sk0) | convergent_lines(sk1,sk3) | ~spl172), inference(resolution, [status(thm)], [p2482, p1049])).
% 77.87/15.49  cnf(ssp524, plain, (~spl172 | spl28 | spl112), inference(avatar_split_clause, [status(thm)], [p3871, sdef28, sdef112])).
% 77.87/15.49  cnf(p309, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X0) | ~spl20), inference(resolution, [status(thm)], [p284, c5])).
% 77.87/15.49  cnf(p478, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk3,X0),X0) | ~spl20), inference(resolution, [status(thm)], [p309, c9])).
% 77.87/15.49  cnf(p3872, plain, (distinct_lines(sk2,sk0) | convergent_lines(sk0,sk0) | ~spl20 | ~spl172), inference(resolution, [status(thm)], [p2482, p478])).
% 77.87/15.49  cnf(ssp525, plain, (~spl20 | ~spl172 | spl112 | spl127), inference(avatar_split_clause, [status(thm)], [p3872, sdef112, sdef127])).
% 77.87/15.49  cnf(p3873, plain, (distinct_lines(sk2,sk0) | convergent_lines(sk1,X0) | convergent_lines(sk3,X0) | convergent_lines(sk0,sk0) | ~spl172), inference(resolution, [status(thm)], [p2482, p153])).
% 77.87/15.49  cnf(ssp526, plain, (~spl172 | spl25 | spl112 | spl127), inference(avatar_split_clause, [status(thm)], [p3873, sdef25, sdef112, sdef127])).
% 77.87/15.49  cnf(p475, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X0) | ~spl26), inference(resolution, [status(thm)], [p454, c5])).
% 77.87/15.49  cnf(p638, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk3,X0),X0) | ~spl26), inference(resolution, [status(thm)], [p475, c9])).
% 77.87/15.49  cnf(p3874, plain, (distinct_lines(sk2,sk0) | convergent_lines(sk0,sk0) | ~spl26 | ~spl172), inference(resolution, [status(thm)], [p2482, p638])).
% 77.87/15.49  cnf(ssp527, plain, (~spl26 | ~spl172 | spl112 | spl127), inference(avatar_split_clause, [status(thm)], [p3874, sdef112, sdef127])).
% 77.87/15.49  cnf(p3875, plain, (distinct_lines(sk2,sk0) | distinct_lines(sk3,sk1) | ~spl172), inference(resolution, [status(thm)], [p2482, p1312])).
% 77.87/15.49  cnf(ssp528, plain, (~spl172 | spl112 | spl139), inference(avatar_split_clause, [status(thm)], [p3875, sdef112, sdef139])).
% 77.87/15.49  cnf(p2500, plain, (apart_point_and_line(intersection_point(sk2,X0),sk1) | convergent_lines(sk1,X0) | ~spl243), inference(avatar_component_clause, [status(thm)], [sdef243])).
% 77.87/15.49  cnf(p4012, plain, (convergent_lines(sk1,sk1) | convergent_lines(sk0,sk2) | ~spl243), inference(resolution, [status(thm)], [p2500, p46])).
% 77.87/15.49  cnf(ssp529, plain, (~spl243 | spl3 | spl126), inference(avatar_split_clause, [status(thm)], [p4012, sdef3, sdef126])).
% 77.87/15.49  cnf(p98, plain, distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(sk2,X0),X0), inference(resolution, [status(thm)], [p66, c9])).
% 77.87/15.49  cnf(p4014, plain, (convergent_lines(sk1,sk1) | distinct_lines(sk3,sk1) | ~spl243), inference(resolution, [status(thm)], [p2500, p98])).
% 77.87/15.49  cnf(ssp530, plain, (~spl243 | spl126 | spl139), inference(avatar_split_clause, [status(thm)], [p4014, sdef126, sdef139])).
% 77.87/15.49  cnf(p4015, plain, (convergent_lines(sk1,sk1) | convergent_lines(sk2,sk0) | ~spl243), inference(resolution, [status(thm)], [p2500, p139])).
% 77.87/15.49  cnf(ssp531, plain, (~spl243 | spl14 | spl126), inference(avatar_split_clause, [status(thm)], [p4015, sdef14, sdef126])).
% 77.87/15.49  cnf(p4016, plain, (convergent_lines(sk1,sk1) | convergent_lines(sk3,X0) | convergent_lines(sk1,X0) | ~spl243), inference(resolution, [status(thm)], [p2500, p86])).
% 77.87/15.49  cnf(ssp532, plain, (~spl243 | spl25 | spl126), inference(avatar_split_clause, [status(thm)], [p4016, sdef25, sdef126])).
% 77.87/15.49  cnf(p4017, plain, (convergent_lines(sk1,sk1) | convergent_lines(sk2,sk2) | convergent_lines(sk3,sk1) | ~spl243), inference(resolution, [status(thm)], [p2500, p88])).
% 77.87/15.49  cnf(ssp533, plain, (~spl243 | spl5 | spl23 | spl126), inference(avatar_split_clause, [status(thm)], [p4017, sdef5, sdef23, sdef126])).
% 77.87/15.49  cnf(p627, plain, distinct_lines(X0,sk0) | ~apart_point_and_line(intersection_point(X0,sk1),sk1), inference(resolution, [status(thm)], [p463, c9])).
% 77.87/15.49  cnf(p4019, plain, (convergent_lines(sk1,sk1) | distinct_lines(sk2,sk0) | ~spl243), inference(resolution, [status(thm)], [p2500, p627])).
% 77.87/15.49  cnf(ssp534, plain, (~spl243 | spl112 | spl126), inference(avatar_split_clause, [status(thm)], [p4019, sdef112, sdef126])).
% 77.87/15.49  cnf(p4020, plain, (convergent_lines(sk1,sk1) | convergent_lines(sk0,X0) | convergent_lines(sk2,X0) | ~spl243), inference(resolution, [status(thm)], [p2500, p129])).
% 77.87/15.49  cnf(ssp535, plain, (~spl243 | spl64 | spl126), inference(avatar_split_clause, [status(thm)], [p4020, sdef64, sdef126])).
% 77.87/15.49  cnf(p4021, plain, (convergent_lines(sk1,sk1) | distinct_lines(sk0,sk2) | ~spl243), inference(resolution, [status(thm)], [p2500, p1084])).
% 77.87/15.49  cnf(ssp536, plain, (~spl243 | spl109 | spl126), inference(avatar_split_clause, [status(thm)], [p4021, sdef109, sdef126])).
% 77.87/15.49  cnf(p4022, plain, (convergent_lines(sk1,sk1) | convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | convergent_lines(sk1,sk1) | ~spl243), inference(resolution, [status(thm)], [p2500, p174])).
% 77.87/15.49  cnf(ssp537, plain, (~spl243 | spl11 | spl126), inference(avatar_split_clause, [status(thm)], [p4022, sdef11, sdef126])).
% 77.87/15.49  cnf(p4070, plain, (convergent_lines(sk3,sk1) | convergent_lines(sk0,sk2) | ~spl245), inference(resolution, [status(thm)], [p2515, p46])).
% 77.87/15.49  cnf(ssp538, plain, (~spl245 | spl3 | spl23), inference(avatar_split_clause, [status(thm)], [p4070, sdef3, sdef23])).
% 77.87/15.49  cnf(p4072, plain, (convergent_lines(sk3,sk1) | distinct_lines(sk3,sk1) | ~spl245), inference(resolution, [status(thm)], [p2515, p98])).
% 77.87/15.49  cnf(ssp539, plain, (~spl245 | spl23 | spl139), inference(avatar_split_clause, [status(thm)], [p4072, sdef23, sdef139])).
% 77.87/15.49  cnf(p4073, plain, (convergent_lines(sk3,sk1) | convergent_lines(sk1,sk3) | ~spl245), inference(resolution, [status(thm)], [p2515, p106])).
% 77.87/15.49  cnf(ssp540, plain, (~spl245 | spl23 | spl28), inference(avatar_split_clause, [status(thm)], [p4073, sdef23, sdef28])).
% 77.87/15.49  cnf(p4074, plain, (convergent_lines(sk3,sk1) | convergent_lines(sk2,sk0) | ~spl245), inference(resolution, [status(thm)], [p2515, p139])).
% 77.87/15.49  cnf(ssp541, plain, (~spl245 | spl14 | spl23), inference(avatar_split_clause, [status(thm)], [p4074, sdef14, sdef23])).
% 77.87/15.49  cnf(p4075, plain, (convergent_lines(sk3,sk1) | convergent_lines(sk3,X0) | convergent_lines(sk1,X0) | ~spl245), inference(resolution, [status(thm)], [p2515, p86])).
% 77.87/15.49  cnf(ssp542, plain, (~spl245 | spl23 | spl25), inference(avatar_split_clause, [status(thm)], [p4075, sdef23, sdef25])).
% 77.87/15.49  cnf(p4076, plain, (convergent_lines(sk3,sk1) | convergent_lines(sk2,sk2) | convergent_lines(sk3,sk1) | ~spl245), inference(resolution, [status(thm)], [p2515, p88])).
% 77.87/15.49  cnf(ssp543, plain, (~spl245 | spl5 | spl23), inference(avatar_split_clause, [status(thm)], [p4076, sdef5, sdef23])).
% 77.87/15.49  cnf(p4078, plain, (convergent_lines(sk3,sk1) | distinct_lines(sk2,sk0) | ~spl245), inference(resolution, [status(thm)], [p2515, p627])).
% 77.87/15.49  cnf(ssp544, plain, (~spl245 | spl23 | spl112), inference(avatar_split_clause, [status(thm)], [p4078, sdef23, sdef112])).
% 77.87/15.49  cnf(p4079, plain, (convergent_lines(sk3,sk1) | convergent_lines(sk0,X0) | convergent_lines(sk2,X0) | ~spl245), inference(resolution, [status(thm)], [p2515, p129])).
% 77.87/15.49  cnf(ssp545, plain, (~spl245 | spl23 | spl64), inference(avatar_split_clause, [status(thm)], [p4079, sdef23, sdef64])).
% 77.87/15.49  cnf(p4080, plain, (convergent_lines(sk3,sk1) | distinct_lines(sk0,sk2) | ~spl245), inference(resolution, [status(thm)], [p2515, p1084])).
% 77.87/15.49  cnf(ssp546, plain, (~spl245 | spl23 | spl109), inference(avatar_split_clause, [status(thm)], [p4080, sdef23, sdef109])).
% 77.87/15.49  cnf(p4081, plain, (convergent_lines(sk3,sk1) | convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | convergent_lines(sk1,sk1) | ~spl245), inference(resolution, [status(thm)], [p2515, p174])).
% 77.87/15.49  cnf(ssp547, plain, (~spl245 | spl11 | spl23 | spl126), inference(avatar_split_clause, [status(thm)], [p4081, sdef11, sdef23, sdef126])).
% 77.87/15.49  cnf(p4137, plain, (convergent_lines(sk1,sk1) | convergent_lines(sk0,sk2) | ~spl247), inference(resolution, [status(thm)], [p2533, p27])).
% 77.87/15.49  cnf(ssp548, plain, (~spl247 | spl3 | spl126), inference(avatar_split_clause, [status(thm)], [p4137, sdef3, sdef126])).
% 77.87/15.49  cnf(p4140, plain, (convergent_lines(sk1,sk1) | convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | ~spl247), inference(resolution, [status(thm)], [p2533, p35])).
% 77.87/15.49  cnf(ssp549, plain, (~spl247 | spl11 | spl126), inference(avatar_split_clause, [status(thm)], [p4140, sdef11, sdef126])).
% 77.87/15.49  cnf(p4141, plain, (convergent_lines(sk1,sk1) | distinct_lines(sk0,sk2) | ~spl247), inference(resolution, [status(thm)], [p2533, p162])).
% 77.87/15.49  cnf(ssp550, plain, (~spl247 | spl109 | spl126), inference(avatar_split_clause, [status(thm)], [p4141, sdef109, sdef126])).
% 77.87/15.49  cnf(p4143, plain, (convergent_lines(sk1,sk1) | distinct_lines(sk3,sk1) | ~spl247), inference(resolution, [status(thm)], [p2533, p793])).
% 77.87/15.49  cnf(ssp551, plain, (~spl247 | spl126 | spl139), inference(avatar_split_clause, [status(thm)], [p4143, sdef126, sdef139])).
% 77.87/15.49  cnf(p4144, plain, (convergent_lines(sk1,sk1) | convergent_lines(sk2,sk0) | ~spl247), inference(resolution, [status(thm)], [p2533, p1048])).
% 77.87/15.49  cnf(ssp552, plain, (~spl247 | spl14 | spl126), inference(avatar_split_clause, [status(thm)], [p4144, sdef14, sdef126])).
% 77.87/15.49  cnf(p4145, plain, (convergent_lines(sk1,sk1) | convergent_lines(X0,sk2) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl247), inference(resolution, [status(thm)], [p2533, p146])).
% 77.87/15.49  cnf(ssp553, plain, (~spl247 | spl79 | spl126), inference(avatar_split_clause, [status(thm)], [p4145, sdef79, sdef126])).
% 77.87/15.49  cnf(p4146, plain, (convergent_lines(sk1,sk1) | convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(X1,sk2) | ~spl247), inference(resolution, [status(thm)], [p2533, p169])).
% 77.87/15.49  cnf(ssp554, plain, (~spl247 | spl126 | spl140), inference(avatar_split_clause, [status(thm)], [p4146, sdef126, sdef140])).
% 77.87/15.49  cnf(p4147, plain, (convergent_lines(sk1,sk1) | convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(sk2,X1) | ~spl247), inference(resolution, [status(thm)], [p2533, p182])).
% 77.87/15.49  cnf(ssp555, plain, (~spl247 | spl126 | spl141), inference(avatar_split_clause, [status(thm)], [p4147, sdef126, sdef141])).
% 77.87/15.49  cnf(p4148, plain, (convergent_lines(sk1,sk1) | distinct_lines(X0,sk2) | convergent_lines(sk0,X0) | ~spl247), inference(resolution, [status(thm)], [p2533, p195])).
% 77.87/15.49  cnf(ssp556, plain, (~spl247 | spl126 | spl142), inference(avatar_split_clause, [status(thm)], [p4148, sdef126, sdef142])).
% 77.87/15.49  cnf(p4163, plain, (convergent_lines(sk1,sk1) | convergent_lines(sk0,sk2) | ~spl254), inference(resolution, [status(thm)], [p2564, p27])).
% 77.87/15.49  cnf(ssp557, plain, (~spl254 | spl3 | spl126), inference(avatar_split_clause, [status(thm)], [p4163, sdef3, sdef126])).
% 77.87/15.49  cnf(p4166, plain, (convergent_lines(sk1,sk1) | convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | ~spl254), inference(resolution, [status(thm)], [p2564, p35])).
% 77.87/15.49  cnf(ssp558, plain, (~spl254 | spl11 | spl126), inference(avatar_split_clause, [status(thm)], [p4166, sdef11, sdef126])).
% 77.87/15.49  cnf(p4167, plain, (convergent_lines(sk1,sk1) | distinct_lines(sk0,sk2) | ~spl254), inference(resolution, [status(thm)], [p2564, p162])).
% 77.87/15.49  cnf(ssp559, plain, (~spl254 | spl109 | spl126), inference(avatar_split_clause, [status(thm)], [p4167, sdef109, sdef126])).
% 77.87/15.49  cnf(p4168, plain, (convergent_lines(sk1,sk1) | distinct_lines(sk3,sk1) | ~spl254), inference(resolution, [status(thm)], [p2564, p793])).
% 77.87/15.49  cnf(ssp560, plain, (~spl254 | spl126 | spl139), inference(avatar_split_clause, [status(thm)], [p4168, sdef126, sdef139])).
% 77.87/15.49  cnf(p4169, plain, (convergent_lines(sk1,sk1) | convergent_lines(sk2,sk0) | ~spl254), inference(resolution, [status(thm)], [p2564, p1048])).
% 77.87/15.49  cnf(ssp561, plain, (~spl254 | spl14 | spl126), inference(avatar_split_clause, [status(thm)], [p4169, sdef14, sdef126])).
% 77.87/15.49  cnf(p4170, plain, (convergent_lines(sk1,sk1) | convergent_lines(X0,sk2) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl254), inference(resolution, [status(thm)], [p2564, p146])).
% 77.87/15.49  cnf(ssp562, plain, (~spl254 | spl79 | spl126), inference(avatar_split_clause, [status(thm)], [p4170, sdef79, sdef126])).
% 77.87/15.49  cnf(p4171, plain, (convergent_lines(sk1,sk1) | convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(X1,sk2) | ~spl254), inference(resolution, [status(thm)], [p2564, p169])).
% 77.87/15.49  cnf(ssp563, plain, (~spl254 | spl126 | spl140), inference(avatar_split_clause, [status(thm)], [p4171, sdef126, sdef140])).
% 77.87/15.49  cnf(p4172, plain, (convergent_lines(sk1,sk1) | convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(sk2,X1) | ~spl254), inference(resolution, [status(thm)], [p2564, p182])).
% 77.87/15.49  cnf(ssp564, plain, (~spl254 | spl126 | spl141), inference(avatar_split_clause, [status(thm)], [p4172, sdef126, sdef141])).
% 77.87/15.49  cnf(p4173, plain, (convergent_lines(sk1,sk1) | distinct_lines(X0,sk2) | convergent_lines(sk0,X0) | ~spl254), inference(resolution, [status(thm)], [p2564, p195])).
% 77.87/15.49  cnf(ssp565, plain, (~spl254 | spl126 | spl142), inference(avatar_split_clause, [status(thm)], [p4173, sdef126, sdef142])).
% 77.87/15.49  cnf(p2224, plain, (distinct_lines(sk2,X0) | convergent_lines(sk1,X0) | ~spl206), inference(avatar_component_clause, [status(thm)], [sdef206])).
% 77.87/15.49  cnf(p2651, plain, (distinct_lines(sk2,X0) | ~apart_point_and_line(intersection_point(sk1,X0),sk1) | ~spl206), inference(resolution, [status(thm)], [p2224, c8])).
% 77.87/15.49  cnf(p4177, plain, (distinct_lines(sk2,sk2) | convergent_lines(sk1,sk1) | ~spl206 | ~spl247), inference(resolution, [status(thm)], [p2651, p2533])).
% 77.87/15.49  cnf(ssp566, plain, (~spl206 | ~spl247 | spl30 | spl126), inference(avatar_split_clause, [status(thm)], [p4177, sdef30, sdef126])).
% 77.87/15.49  cnf(p2275, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X0) | ~spl213), inference(avatar_component_clause, [status(thm)], [sdef213])).
% 77.87/15.49  cnf(p2722, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk3,X0),X0) | ~spl213), inference(resolution, [status(thm)], [p2275, c9])).
% 77.87/15.49  cnf(p4245, plain, (convergent_lines(sk0,sk0) | distinct_lines(sk2,sk0) | ~spl172 | ~spl213), inference(resolution, [status(thm)], [p2722, p2482])).
% 77.87/15.49  cnf(ssp567, plain, (~spl172 | ~spl213 | spl112 | spl127), inference(avatar_split_clause, [status(thm)], [p4245, sdef112, sdef127])).
% 77.87/15.49  cnf(p69, plain, distinct_lines(X0,X1) | convergent_lines(sk0,X1) | convergent_lines(sk1,X2) | convergent_lines(X0,X2), inference(resolution, [status(thm)], [c13, p29])).
% 77.87/15.49  cnf(p387, plain, distinct_lines(X0,sk0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p69, c2])).
% 77.87/15.49  cnf(p3263, plain, distinct_lines(X0,sk0) | convergent_lines(sk1,X0), inference(resolution, [status(thm)], [p387, c2])).
% 77.87/15.49  cnf(p3270, plain, distinct_lines(X0,sk0) | ~apart_point_and_line(intersection_point(sk1,X0),sk1), inference(resolution, [status(thm)], [p3263, c8])).
% 77.87/15.49  cnf(p4282, plain, (distinct_lines(sk2,sk0) | convergent_lines(sk1,sk1) | ~spl247), inference(resolution, [status(thm)], [p3270, p2533])).
% 77.87/15.49  cnf(ssp568, plain, (~spl247 | spl112 | spl126), inference(avatar_split_clause, [status(thm)], [p4282, sdef112, sdef126])).
% 77.87/15.49  cnf(p4283, plain, (distinct_lines(sk2,sk0) | convergent_lines(sk1,sk1) | ~spl254), inference(resolution, [status(thm)], [p3270, p2564])).
% 77.87/15.49  cnf(ssp569, plain, (~spl254 | spl112 | spl126), inference(avatar_split_clause, [status(thm)], [p4283, sdef112, sdef126])).
% 77.87/15.49  cnf(p406, plain, (convergent_lines(X0,sk2) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl11), inference(resolution, [status(thm)], [p237, c5])).
% 77.87/15.49  cnf(p3512, plain, (convergent_lines(X0,sk2) | convergent_lines(X0,sk0) | ~spl11), inference(resolution, [status(thm)], [p406, c2])).
% 77.87/15.49  cnf(p3550, plain, (convergent_lines(X0,sk0) | ~apart_point_and_line(intersection_point(X0,sk2),X0) | ~spl11), inference(resolution, [status(thm)], [p3512, c8])).
% 77.87/15.49  cnf(p4300, plain, (convergent_lines(sk3,sk0) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | ~spl1 | ~spl11), inference(resolution, [status(thm)], [p3550, p56])).
% 77.87/15.49  cnf(ssp570, plain, (~spl1 | ~spl11 | spl4 | spl29), inference(avatar_split_clause, [status(thm)], [p4300, sdef4, sdef29])).
% 77.87/15.49  cnf(p430, plain, (convergent_lines(sk0,X0) | convergent_lines(sk2,X1) | convergent_lines(X0,X1) | ~spl3), inference(resolution, [status(thm)], [p246, c5])).
% 77.87/15.49  cnf(p3838, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | ~spl3), inference(resolution, [status(thm)], [p430, c2])).
% 77.87/15.49  cnf(p3852, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(X0,sk2),X0) | ~spl3), inference(resolution, [status(thm)], [p3838, c8])).
% 77.87/15.49  cnf(p4310, plain, (convergent_lines(sk0,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p3852, p56])).
% 77.87/15.49  cnf(ssp571, plain, (~spl1 | ~spl3 | spl4 | spl20), inference(avatar_split_clause, [status(thm)], [p4310, sdef4, sdef20])).
% 77.87/15.49  cnf(p431, plain, (convergent_lines(sk0,X0) | distinct_lines(X0,X1) | convergent_lines(sk2,X1) | ~spl3), inference(resolution, [status(thm)], [p246, c13])).
% 77.87/15.49  cnf(p3883, plain, (distinct_lines(sk0,X0) | convergent_lines(sk2,X0) | ~spl3), inference(resolution, [status(thm)], [p431, c2])).
% 77.87/15.49  cnf(p3901, plain, (distinct_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk2,X0),sk2) | ~spl3), inference(resolution, [status(thm)], [p3883, c8])).
% 77.87/15.49  cnf(p4326, plain, (distinct_lines(sk0,sk0) | distinct_lines(sk1,sk2) | ~spl3 | ~spl113), inference(resolution, [status(thm)], [p3901, p1657])).
% 77.87/15.49  cnf(ssp572, plain, (~spl3 | ~spl113 | spl107 | spl146), inference(avatar_split_clause, [status(thm)], [p4326, sdef107, sdef146])).
% 77.87/15.49  cnf(p435, plain, (distinct_lines(sk2,X0) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl3), inference(resolution, [status(thm)], [p247, c5])).
% 77.87/15.49  cnf(p3905, plain, (distinct_lines(sk2,X0) | convergent_lines(X0,sk0) | ~spl3), inference(resolution, [status(thm)], [p435, c2])).
% 77.87/15.49  cnf(p3918, plain, (distinct_lines(sk2,X0) | ~apart_point_and_line(intersection_point(X0,sk0),X0) | ~spl3), inference(resolution, [status(thm)], [p3905, c8])).
% 77.87/15.49  cnf(p4337, plain, (distinct_lines(sk2,sk2) | distinct_lines(sk1,sk2) | ~spl3 | ~spl113), inference(resolution, [status(thm)], [p3918, p1657])).
% 77.87/15.49  cnf(ssp573, plain, (~spl3 | ~spl113 | spl30 | spl107), inference(avatar_split_clause, [status(thm)], [p4337, sdef30, sdef107])).
% 77.87/15.49  cnf(p441, plain, (convergent_lines(sk1,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1) | ~spl25), inference(resolution, [status(thm)], [p298, c5])).
% 77.87/15.49  cnf(p3961, plain, (convergent_lines(sk1,X0) | convergent_lines(X0,sk3) | ~spl25), inference(resolution, [status(thm)], [p441, c2])).
% 77.87/15.49  cnf(p3983, plain, (convergent_lines(X0,sk3) | ~apart_point_and_line(intersection_point(sk1,X0),X0) | ~spl25), inference(resolution, [status(thm)], [p3961, c9])).
% 77.87/15.49  cnf(p4346, plain, (convergent_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk3),X0) | ~spl1 | ~spl25), inference(resolution, [status(thm)], [p3983, p56])).
% 77.87/15.49  cnf(ssp574, plain, (~spl1 | ~spl25 | spl19 | spl81), inference(avatar_split_clause, [status(thm)], [p4346, sdef19, sdef81])).
% 77.87/15.49  cnf(p4010, plain, (convergent_lines(sk1,sk3) | ~spl243), inference(resolution, [status(thm)], [p2500, c18])).
% 77.87/15.49  cnf(p4027, plain, (convergent_lines(sk1,X0) | convergent_lines(sk3,X0) | ~spl243), inference(resolution, [status(thm)], [p4010, c5])).
% 77.87/15.49  cnf(p4047, plain, (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(sk3,X0),X0) | ~spl243), inference(resolution, [status(thm)], [p4027, c9])).
% 77.87/15.49  cnf(p4406, plain, (convergent_lines(sk1,sk1) | distinct_lines(sk2,sk1) | ~spl168 | ~spl243), inference(resolution, [status(thm)], [p4047, p2461])).
% 77.87/15.49  cnf(ssp575, plain, (~spl168 | ~spl243 | spl111 | spl126), inference(avatar_split_clause, [status(thm)], [p4406, sdef111, sdef126])).
% 77.87/15.49  cnf(p2528, plain, (apart_point_and_line(intersection_point(sk2,X0),sk1) | convergent_lines(sk0,X0) | ~spl246), inference(avatar_component_clause, [status(thm)], [sdef246])).
% 77.87/15.49  cnf(p4085, plain, (convergent_lines(sk0,sk3) | ~spl246), inference(resolution, [status(thm)], [p2528, c18])).
% 77.87/15.49  cnf(p4090, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X0) | ~spl246), inference(resolution, [status(thm)], [p4085, c5])).
% 77.87/15.49  cnf(p4106, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk3,X0),X0) | ~spl246), inference(resolution, [status(thm)], [p4090, c9])).
% 77.87/15.49  cnf(p4417, plain, (convergent_lines(sk0,sk0) | distinct_lines(sk2,sk0) | ~spl172 | ~spl246), inference(resolution, [status(thm)], [p4106, p2482])).
% 77.87/15.49  cnf(ssp576, plain, (~spl172 | ~spl246 | spl112 | spl127), inference(avatar_split_clause, [status(thm)], [p4417, sdef112, sdef127])).
% 77.87/15.49  cnf(p479, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1) | ~spl20), inference(resolution, [status(thm)], [p309, c5])).
% 77.87/15.49  cnf(p4357, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk3) | ~spl20), inference(resolution, [status(thm)], [p479, c2])).
% 77.87/15.49  cnf(p4375, plain, (convergent_lines(X0,sk3) | ~apart_point_and_line(intersection_point(sk0,X0),X0) | ~spl20), inference(resolution, [status(thm)], [p4357, c9])).
% 77.87/15.49  cnf(p4439, plain, (convergent_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X0) | ~spl1 | ~spl20), inference(resolution, [status(thm)], [p4375, p56])).
% 77.87/15.49  cnf(ssp577, plain, (~spl1 | ~spl20 | spl22 | spl81), inference(avatar_split_clause, [status(thm)], [p4439, sdef22, sdef81])).
% 77.87/15.49  cnf(p480, plain, (convergent_lines(sk0,X0) | distinct_lines(X0,X1) | convergent_lines(sk3,X1) | ~spl20), inference(resolution, [status(thm)], [p309, c13])).
% 77.87/15.49  cnf(p4381, plain, (distinct_lines(sk0,X0) | convergent_lines(sk3,X0) | ~spl20), inference(resolution, [status(thm)], [p480, c2])).
% 77.87/15.49  cnf(p4395, plain, (distinct_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk3,X0),X0) | ~spl20), inference(resolution, [status(thm)], [p4381, c9])).
% 77.87/15.49  cnf(p4459, plain, (distinct_lines(sk0,sk0) | distinct_lines(sk2,sk0) | ~spl20 | ~spl172), inference(resolution, [status(thm)], [p4395, p2482])).
% 77.87/15.49  cnf(ssp578, plain, (~spl20 | ~spl172 | spl112 | spl146), inference(avatar_split_clause, [status(thm)], [p4459, sdef112, sdef146])).
% 77.87/15.49  cnf(p490, plain, (distinct_lines(sk3,X0) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl20), inference(resolution, [status(thm)], [p310, c5])).
% 77.87/15.49  cnf(p4473, plain, (distinct_lines(sk3,X0) | convergent_lines(X0,sk0) | ~spl20), inference(resolution, [status(thm)], [p490, c2])).
% 77.87/15.49  cnf(p4482, plain, (distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(X0,sk0),X0) | ~spl20), inference(resolution, [status(thm)], [p4473, c8])).
% 77.87/15.49  cnf(p4486, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk3,sk0),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | ~spl1 | ~spl20), inference(resolution, [status(thm)], [p4482, p275])).
% 77.87/15.49  cnf(ssp579, plain, (~spl1 | ~spl20 | spl85 | spl217), inference(avatar_split_clause, [status(thm)], [p4486, sdef85, sdef217])).
% 77.87/15.49  cnf(p4487, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk0),X1) | distinct_points(X0,X1) | ~spl1 | ~spl20), inference(resolution, [status(thm)], [p4482, p276])).
% 77.87/15.49  cnf(ssp580, plain, (~spl1 | ~spl20 | spl85 | spl233), inference(avatar_split_clause, [status(thm)], [p4487, sdef85, sdef233])).
% 77.87/15.49  cnf(p4483, plain, (distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(X0,sk0),sk0) | ~spl20), inference(resolution, [status(thm)], [p4473, c9])).
% 77.87/15.49  cnf(p4490, plain, (distinct_lines(sk3,sk3) | distinct_lines(sk2,sk0) | ~spl20 | ~spl172), inference(resolution, [status(thm)], [p4483, p2482])).
% 77.87/15.49  cnf(ssp581, plain, (~spl20 | ~spl172 | spl85 | spl112), inference(avatar_split_clause, [status(thm)], [p4490, sdef85, sdef112])).
% 77.87/15.49  cnf(p494, plain, (apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,sk0) | ~spl38), inference(avatar_component_clause, [status(thm)], [sdef38])).
% 77.87/15.49  cnf(p4500, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | ~spl38), inference(resolution, [status(thm)], [p494, p24])).
% 77.87/15.49  cnf(ssp582, plain, (~spl38 | spl97 | spl145), inference(avatar_split_clause, [status(thm)], [p4500, sdef97, sdef145])).
% 77.87/15.49  cnf(p498, plain, (convergent_lines(sk1,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1) | ~spl23), inference(resolution, [status(thm)], [p313, c5])).
% 77.87/15.49  cnf(p4501, plain, (convergent_lines(sk1,X0) | convergent_lines(X0,sk3) | ~spl23), inference(resolution, [status(thm)], [p498, c2])).
% 77.87/15.49  cnf(p4516, plain, (convergent_lines(X0,sk3) | ~apart_point_and_line(intersection_point(sk1,X0),X0) | ~spl23), inference(resolution, [status(thm)], [p4501, c9])).
% 77.87/15.49  cnf(p4537, plain, (convergent_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk3),X0) | ~spl1 | ~spl23), inference(resolution, [status(thm)], [p4516, p56])).
% 77.87/15.49  cnf(ssp583, plain, (~spl1 | ~spl23 | spl19 | spl81), inference(avatar_split_clause, [status(thm)], [p4537, sdef19, sdef81])).
% 77.87/15.49  cnf(p516, plain, (apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk3) | ~spl40), inference(avatar_component_clause, [status(thm)], [sdef40])).
% 77.87/15.49  cnf(p4859, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | ~spl40), inference(resolution, [status(thm)], [p516, p24])).
% 77.87/15.49  cnf(ssp584, plain, (~spl40 | spl96 | spl145), inference(avatar_split_clause, [status(thm)], [p4859, sdef96, sdef145])).
% 77.87/15.49  cnf(p527, plain, (convergent_lines(sk1,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1) | ~spl28), inference(resolution, [status(thm)], [p317, c5])).
% 77.87/15.49  cnf(p4860, plain, (convergent_lines(sk1,X0) | convergent_lines(X0,sk3) | ~spl28), inference(resolution, [status(thm)], [p527, c2])).
% 77.87/15.49  cnf(p4875, plain, (convergent_lines(X0,sk3) | ~apart_point_and_line(intersection_point(sk1,X0),X0) | ~spl28), inference(resolution, [status(thm)], [p4860, c9])).
% 77.87/15.49  cnf(p4883, plain, (convergent_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk3),X0) | ~spl1 | ~spl28), inference(resolution, [status(thm)], [p4875, p56])).
% 77.87/15.49  cnf(ssp585, plain, (~spl1 | ~spl28 | spl19 | spl81), inference(avatar_split_clause, [status(thm)], [p4883, sdef19, sdef81])).
% 77.87/15.49  cnf(p532, plain, (distinct_lines(sk3,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1) | ~spl28), inference(resolution, [status(thm)], [p318, c5])).
% 77.87/15.49  cnf(p4931, plain, (distinct_lines(sk3,X0) | convergent_lines(X0,sk1) | ~spl28), inference(resolution, [status(thm)], [p532, c2])).
% 77.87/15.49  cnf(p4940, plain, (distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(X0,sk1),X0) | ~spl28), inference(resolution, [status(thm)], [p4931, c8])).
% 77.87/15.49  cnf(p4950, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk1),X0) | ~spl1 | ~spl28), inference(resolution, [status(thm)], [p4940, p56])).
% 77.87/15.49  cnf(ssp586, plain, (~spl1 | ~spl28 | spl21 | spl85), inference(avatar_split_clause, [status(thm)], [p4950, sdef21, sdef85])).
% 77.87/15.49  cnf(p4951, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk3,sk1),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | ~spl1 | ~spl28), inference(resolution, [status(thm)], [p4940, p275])).
% 77.87/15.49  cnf(ssp587, plain, (~spl1 | ~spl28 | spl85 | spl208), inference(avatar_split_clause, [status(thm)], [p4951, sdef85, sdef208])).
% 77.87/15.49  cnf(p4952, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk1),X1) | distinct_points(X0,X1) | ~spl1 | ~spl28), inference(resolution, [status(thm)], [p4940, p276])).
% 77.87/15.49  cnf(ssp588, plain, (~spl1 | ~spl28 | spl85 | spl226), inference(avatar_split_clause, [status(thm)], [p4952, sdef85, sdef226])).
% 77.87/15.49  cnf(p4941, plain, (distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(X0,sk1),sk1) | ~spl28), inference(resolution, [status(thm)], [p4931, c9])).
% 77.87/15.49  cnf(p4955, plain, (distinct_lines(sk3,sk3) | distinct_lines(sk2,sk1) | ~spl28 | ~spl168), inference(resolution, [status(thm)], [p4941, p2461])).
% 77.87/15.49  cnf(ssp589, plain, (~spl28 | ~spl168 | spl85 | spl111), inference(avatar_split_clause, [status(thm)], [p4955, sdef85, sdef111])).
% 77.87/15.49  cnf(p539, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1) | ~spl29), inference(resolution, [status(thm)], [p321, c5])).
% 77.87/15.49  cnf(p4977, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk3) | ~spl29), inference(resolution, [status(thm)], [p539, c2])).
% 77.87/15.49  cnf(p4992, plain, (convergent_lines(X0,sk3) | ~apart_point_and_line(intersection_point(sk0,X0),X0) | ~spl29), inference(resolution, [status(thm)], [p4977, c9])).
% 77.87/15.49  cnf(p5009, plain, (convergent_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X0) | ~spl1 | ~spl29), inference(resolution, [status(thm)], [p4992, p56])).
% 77.87/15.49  cnf(ssp590, plain, (~spl1 | ~spl29 | spl22 | spl81), inference(avatar_split_clause, [status(thm)], [p5009, sdef22, sdef81])).
% 77.87/15.49  cnf(p331, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk3)) | ~spl31), inference(avatar_component_clause, [status(thm)], [sdef31])).
% 77.87/15.49  cnf(p567, plain, (~distinct_lines(X0,X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | ~spl31), inference(resolution, [status(thm)], [p331, c10])).
% 77.87/15.49  cnf(p5513, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | ~spl31), inference(resolution, [status(thm)], [p567, p77])).
% 77.87/15.49  cnf(ssp591, plain, (~spl31 | spl16 | spl17 | spl96 | spl97), inference(avatar_split_clause, [status(thm)], [p5513, sdef16, sdef17, sdef96, sdef97])).
% 77.87/15.49  cnf(p351, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | ~spl34), inference(avatar_component_clause, [status(thm)], [sdef34])).
% 77.87/15.49  cnf(p571, plain, (~distinct_lines(X0,X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | ~spl34), inference(resolution, [status(thm)], [p351, c10])).
% 77.87/15.49  cnf(p5519, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | ~spl34), inference(resolution, [status(thm)], [p571, p77])).
% 77.87/15.49  cnf(ssp592, plain, (~spl34 | spl16 | spl17 | spl104 | spl105), inference(avatar_split_clause, [status(thm)], [p5519, sdef16, sdef17, sdef104, sdef105])).
% 77.87/15.49  cnf(p353, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk1)) | ~spl35), inference(avatar_component_clause, [status(thm)], [sdef35])).
% 77.87/15.49  cnf(p575, plain, (~distinct_lines(X0,X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk2,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk1),X1) | ~spl35), inference(resolution, [status(thm)], [p353, c10])).
% 77.87/15.49  cnf(p5540, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk2,sk1),sk1) | apart_point_and_line(intersection_point(sk2,sk1),sk0) | ~spl35), inference(resolution, [status(thm)], [p575, p77])).
% 77.87/15.49  cnf(ssp593, plain, (~spl35 | spl16 | spl17 | spl102 | spl103), inference(avatar_split_clause, [status(thm)], [p5540, sdef16, sdef17, sdef102, sdef103])).
% 77.87/15.49  cnf(p5541, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk1),sk1) | apart_point_and_line(intersection_point(sk2,sk1),X0) | distinct_lines(sk0,X0) | ~spl35), inference(resolution, [status(thm)], [p575, p95])).
% 77.87/15.49  cnf(ssp594, plain, (~spl35 | spl16 | spl102 | spl153), inference(avatar_split_clause, [status(thm)], [p5541, sdef16, sdef102, sdef153])).
% 77.87/15.49  cnf(p597, plain, distinct_lines(sk2,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p366, c5])).
% 77.87/15.49  cnf(p5528, plain, distinct_lines(sk2,X0) | convergent_lines(X0,sk3), inference(resolution, [status(thm)], [p597, c2])).
% 77.87/15.49  cnf(p5537, plain, distinct_lines(sk2,X0) | ~apart_point_and_line(intersection_point(X0,sk3),X0), inference(resolution, [status(thm)], [p5528, c8])).
% 77.87/15.49  cnf(p5755, plain, (distinct_lines(sk2,sk0) | distinct_lines(sk2,sk0) | ~spl166), inference(resolution, [status(thm)], [p5537, p2454])).
% 77.87/15.49  cnf(ssp595, plain, (~spl166 | spl112), inference(avatar_split_clause, [status(thm)], [p5755, sdef112])).
% 77.87/15.49  cnf(p5756, plain, (distinct_lines(sk2,sk1) | distinct_lines(sk2,sk1) | ~spl170), inference(resolution, [status(thm)], [p5537, p2469])).
% 77.87/15.49  cnf(ssp596, plain, (~spl170 | spl111), inference(avatar_split_clause, [status(thm)], [p5756, sdef111])).
% 77.87/15.49  cnf(p355, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk2)) | ~spl36), inference(avatar_component_clause, [status(thm)], [sdef36])).
% 77.87/15.49  cnf(p579, plain, (~distinct_lines(X0,X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk1,sk2),X0) | apart_point_and_line(intersection_point(sk1,sk2),X1) | ~spl36), inference(resolution, [status(thm)], [p355, c10])).
% 77.87/15.49  cnf(p5789, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk1,sk2),sk1) | apart_point_and_line(intersection_point(sk1,sk2),sk0) | ~spl36), inference(resolution, [status(thm)], [p579, p77])).
% 77.87/15.49  cnf(ssp597, plain, (~spl36 | spl16 | spl17 | spl98 | spl99), inference(avatar_split_clause, [status(thm)], [p5789, sdef16, sdef17, sdef98, sdef99])).
% 77.87/15.49  cnf(p357, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk0)) | ~spl37), inference(avatar_component_clause, [status(thm)], [sdef37])).
% 77.87/15.49  cnf(p583, plain, (~distinct_lines(X0,X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk2,sk0),X0) | apart_point_and_line(intersection_point(sk2,sk0),X1) | ~spl37), inference(resolution, [status(thm)], [p357, c10])).
% 77.87/15.49  cnf(p5804, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk2,sk0),sk1) | apart_point_and_line(intersection_point(sk2,sk0),sk0) | ~spl37), inference(resolution, [status(thm)], [p583, p77])).
% 77.87/15.49  cnf(ssp598, plain, (~spl37 | spl16 | spl17 | spl113 | spl114), inference(avatar_split_clause, [status(thm)], [p5804, sdef16, sdef17, sdef113, sdef114])).
% 77.87/15.49  cnf(p5805, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk2,sk0),sk1) | apart_point_and_line(intersection_point(sk2,sk0),X0) | distinct_lines(sk0,X0) | ~spl37), inference(resolution, [status(thm)], [p583, p95])).
% 77.87/15.49  cnf(ssp599, plain, (~spl37 | spl16 | spl113 | spl164), inference(avatar_split_clause, [status(thm)], [p5805, sdef16, sdef113, sdef164])).
% 77.87/15.49  cnf(p432, plain, (distinct_lines(sk2,sk0) | ~spl3), inference(resolution, [status(thm)], [p247, c2])).
% 77.87/15.49  cnf(p5811, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk2,sk0),sk2) | apart_point_and_line(intersection_point(sk2,sk0),sk0) | ~spl3 | ~spl37), inference(resolution, [status(thm)], [p583, p432])).
% 77.87/15.49  cnf(ssp600, plain, (~spl3 | ~spl37 | spl0 | spl17 | spl114 | spl165), inference(avatar_split_clause, [status(thm)], [p5811, sdef0, sdef17, sdef114, sdef165])).
% 77.87/15.49  cnf(p622, plain, (distinct_lines(sk3,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1) | ~spl25), inference(resolution, [status(thm)], [p453, c5])).
% 77.87/15.49  cnf(p5852, plain, (distinct_lines(sk3,X0) | convergent_lines(X0,sk1) | ~spl25), inference(resolution, [status(thm)], [p622, c2])).
% 77.87/15.49  cnf(p5868, plain, (distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(X0,sk1),X0) | ~spl25), inference(resolution, [status(thm)], [p5852, c8])).
% 77.87/15.49  cnf(p5873, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk1),X0) | ~spl1 | ~spl25), inference(resolution, [status(thm)], [p5868, p56])).
% 77.87/15.49  cnf(ssp601, plain, (~spl1 | ~spl25 | spl21 | spl85), inference(avatar_split_clause, [status(thm)], [p5873, sdef21, sdef85])).
% 77.87/15.49  cnf(p5874, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk3,sk1),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | ~spl1 | ~spl25), inference(resolution, [status(thm)], [p5868, p275])).
% 77.87/15.49  cnf(ssp602, plain, (~spl1 | ~spl25 | spl85 | spl208), inference(avatar_split_clause, [status(thm)], [p5874, sdef85, sdef208])).
% 77.87/15.49  cnf(p5875, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk1),X1) | distinct_points(X0,X1) | ~spl1 | ~spl25), inference(resolution, [status(thm)], [p5868, p276])).
% 77.87/15.49  cnf(ssp603, plain, (~spl1 | ~spl25 | spl85 | spl226), inference(avatar_split_clause, [status(thm)], [p5875, sdef85, sdef226])).
% 77.87/15.49  cnf(p5869, plain, (distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(X0,sk1),sk1) | ~spl25), inference(resolution, [status(thm)], [p5852, c9])).
% 77.87/15.49  cnf(p5879, plain, (distinct_lines(sk3,sk3) | distinct_lines(sk2,sk1) | ~spl25 | ~spl168), inference(resolution, [status(thm)], [p5869, p2461])).
% 77.87/15.49  cnf(ssp604, plain, (~spl25 | ~spl168 | spl85 | spl111), inference(avatar_split_clause, [status(thm)], [p5879, sdef85, sdef111])).
% 77.87/15.49  cnf(p89, plain, convergent_lines(sk3,X0) | convergent_lines(X1,X0) | convergent_lines(sk2,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p32, c5])).
% 77.87/15.49  cnf(p640, plain, convergent_lines(sk3,X0) | convergent_lines(sk2,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p89, c2])).
% 77.87/15.49  cnf(p5913, plain, convergent_lines(sk3,X0) | convergent_lines(X0,sk2), inference(resolution, [status(thm)], [p640, c2])).
% 77.87/15.49  cnf(p5924, plain, convergent_lines(sk3,X0) | ~apart_point_and_line(intersection_point(X0,sk2),X0), inference(resolution, [status(thm)], [p5913, c8])).
% 77.87/15.49  cnf(p5933, plain, (convergent_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | ~spl1), inference(resolution, [status(thm)], [p5924, p56])).
% 77.87/15.49  cnf(ssp605, plain, (~spl1 | spl4 | spl81), inference(avatar_split_clause, [status(thm)], [p5933, sdef4, sdef81])).
% 77.87/15.49  cnf(p5935, plain, (convergent_lines(sk3,sk1) | convergent_lines(sk1,sk1) | ~spl247), inference(resolution, [status(thm)], [p5924, p2533])).
% 77.87/15.49  cnf(ssp606, plain, (~spl247 | spl23 | spl126), inference(avatar_split_clause, [status(thm)], [p5935, sdef23, sdef126])).
% 77.87/15.49  cnf(p5936, plain, (convergent_lines(sk3,sk1) | convergent_lines(sk1,sk1) | ~spl254), inference(resolution, [status(thm)], [p5924, p2564])).
% 77.87/15.49  cnf(ssp607, plain, (~spl254 | spl23 | spl126), inference(avatar_split_clause, [status(thm)], [p5936, sdef23, sdef126])).
% 77.87/15.49  cnf(p5925, plain, convergent_lines(X0,sk2) | ~apart_point_and_line(intersection_point(sk3,X0),X0), inference(resolution, [status(thm)], [p5913, c9])).
% 77.87/15.49  cnf(p5949, plain, (convergent_lines(sk1,sk2) | distinct_lines(sk2,sk1) | ~spl168), inference(resolution, [status(thm)], [p5925, p2461])).
% 77.87/15.49  cnf(ssp608, plain, (~spl168 | spl13 | spl111), inference(avatar_split_clause, [status(thm)], [p5949, sdef13, sdef111])).
% 77.87/15.49  cnf(p5950, plain, (convergent_lines(sk0,sk2) | distinct_lines(sk2,sk0) | ~spl172), inference(resolution, [status(thm)], [p5925, p2482])).
% 77.87/15.49  cnf(ssp609, plain, (~spl172 | spl3 | spl112), inference(avatar_split_clause, [status(thm)], [p5950, sdef3, sdef112])).
% 77.87/15.49  cnf(p643, plain, convergent_lines(sk3,X0) | convergent_lines(sk2,X1) | convergent_lines(X2,X1) | ~apart_point_and_line(intersection_point(X2,X0),X2), inference(resolution, [status(thm)], [p89, c8])).
% 77.87/15.49  cnf(p5985, plain, (convergent_lines(sk3,sk3) | convergent_lines(sk2,X0) | convergent_lines(sk0,X0) | distinct_lines(sk2,sk0) | ~spl166), inference(resolution, [status(thm)], [p643, p2454])).
% 77.87/15.49  cnf(ssp610, plain, (~spl166 | spl64 | spl81 | spl112), inference(avatar_split_clause, [status(thm)], [p5985, sdef64, sdef81, sdef112])).
% 77.87/15.49  cnf(p5986, plain, (convergent_lines(sk3,sk3) | convergent_lines(sk2,X0) | convergent_lines(sk1,X0) | distinct_lines(sk2,sk1) | ~spl170), inference(resolution, [status(thm)], [p643, p2469])).
% 77.87/15.49  cnf(ssp611, plain, (~spl170 | spl10 | spl81 | spl111), inference(avatar_split_clause, [status(thm)], [p5986, sdef10, sdef81, sdef111])).
% 77.87/15.49  cnf(p645, plain, convergent_lines(sk3,X0) | convergent_lines(X1,X0) | convergent_lines(sk2,X2) | ~apart_point_and_line(intersection_point(X1,X2),X1), inference(resolution, [status(thm)], [p89, c8])).
% 77.87/15.49  cnf(p6035, plain, (convergent_lines(sk3,X0) | convergent_lines(sk1,X0) | convergent_lines(sk2,sk2) | convergent_lines(sk1,sk1) | ~spl247), inference(resolution, [status(thm)], [p645, p2533])).
% 77.87/15.49  cnf(ssp612, plain, (~spl247 | spl5 | spl25 | spl126), inference(avatar_split_clause, [status(thm)], [p6035, sdef5, sdef25, sdef126])).
% 77.87/15.49  cnf(p6036, plain, (convergent_lines(sk3,X0) | convergent_lines(sk1,X0) | convergent_lines(sk2,sk2) | convergent_lines(sk1,sk1) | ~spl254), inference(resolution, [status(thm)], [p645, p2564])).
% 77.87/15.49  cnf(ssp613, plain, (~spl254 | spl5 | spl25 | spl126), inference(avatar_split_clause, [status(thm)], [p6036, sdef5, sdef25, sdef126])).
% 77.87/15.49  cnf(p92, plain, convergent_lines(sk3,X0) | convergent_lines(X1,X0) | distinct_lines(X1,X2) | convergent_lines(sk2,X2), inference(resolution, [status(thm)], [p32, c13])).
% 77.87/15.49  cnf(p722, plain, convergent_lines(sk3,X0) | distinct_lines(X0,X1) | convergent_lines(sk2,X1), inference(resolution, [status(thm)], [p92, c2])).
% 77.87/15.49  cnf(p6068, plain, convergent_lines(sk3,X0) | distinct_lines(X0,sk2), inference(resolution, [status(thm)], [p722, c2])).
% 77.87/15.49  cnf(p6084, plain, distinct_lines(X0,sk2) | ~apart_point_and_line(intersection_point(sk3,X0),X0), inference(resolution, [status(thm)], [p6068, c9])).
% 77.87/15.49  cnf(p6090, plain, (distinct_lines(sk1,sk2) | distinct_lines(sk2,sk1) | ~spl168), inference(resolution, [status(thm)], [p6084, p2461])).
% 77.87/15.49  cnf(ssp614, plain, (~spl168 | spl107 | spl111), inference(avatar_split_clause, [status(thm)], [p6090, sdef107, sdef111])).
% 77.87/15.49  cnf(p6091, plain, (distinct_lines(sk0,sk2) | distinct_lines(sk2,sk0) | ~spl172), inference(resolution, [status(thm)], [p6084, p2482])).
% 77.87/15.49  cnf(ssp615, plain, (~spl172 | spl109 | spl112), inference(avatar_split_clause, [status(thm)], [p6091, sdef109, sdef112])).
% 77.87/15.49  cnf(p898, plain, (convergent_lines(sk0,X0) | convergent_lines(sk2,X1) | convergent_lines(X0,X1) | ~spl64), inference(resolution, [status(thm)], [p893, c5])).
% 77.87/15.49  cnf(p6300, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | ~spl64), inference(resolution, [status(thm)], [p898, c2])).
% 77.87/15.49  cnf(p6314, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(X0,sk2),X0) | ~spl64), inference(resolution, [status(thm)], [p6300, c8])).
% 77.87/15.49  cnf(p6321, plain, (convergent_lines(sk0,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | ~spl1 | ~spl64), inference(resolution, [status(thm)], [p6314, p56])).
% 77.87/15.49  cnf(ssp616, plain, (~spl1 | ~spl64 | spl4 | spl20), inference(avatar_split_clause, [status(thm)], [p6321, sdef4, sdef20])).
% 77.87/15.49  cnf(p899, plain, (convergent_lines(sk0,X0) | distinct_lines(X0,X1) | convergent_lines(sk2,X1) | ~spl64), inference(resolution, [status(thm)], [p893, c13])).
% 77.87/15.49  cnf(p6340, plain, (distinct_lines(sk0,X0) | convergent_lines(sk2,X0) | ~spl64), inference(resolution, [status(thm)], [p899, c2])).
% 77.87/15.49  cnf(p6353, plain, (distinct_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk2,X0),sk2) | ~spl64), inference(resolution, [status(thm)], [p6340, c8])).
% 77.87/15.49  cnf(p6376, plain, (distinct_lines(sk0,sk0) | distinct_lines(sk1,sk2) | ~spl64 | ~spl113), inference(resolution, [status(thm)], [p6353, p1657])).
% 77.87/15.49  cnf(ssp617, plain, (~spl64 | ~spl113 | spl107 | spl146), inference(avatar_split_clause, [status(thm)], [p6376, sdef107, sdef146])).
% 77.87/15.49  cnf(p908, plain, (distinct_lines(sk2,X0) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl64), inference(resolution, [status(thm)], [p902, c5])).
% 77.87/15.49  cnf(p6392, plain, (distinct_lines(sk2,X0) | convergent_lines(X0,sk0) | ~spl64), inference(resolution, [status(thm)], [p908, c2])).
% 77.87/15.49  cnf(p6401, plain, (distinct_lines(sk2,X0) | ~apart_point_and_line(intersection_point(X0,sk0),X0) | ~spl64), inference(resolution, [status(thm)], [p6392, c8])).
% 77.87/15.49  cnf(p6404, plain, (distinct_lines(sk2,sk2) | distinct_lines(sk1,sk2) | ~spl64 | ~spl113), inference(resolution, [status(thm)], [p6401, p1657])).
% 77.87/15.49  cnf(ssp618, plain, (~spl64 | ~spl113 | spl30 | spl107), inference(avatar_split_clause, [status(thm)], [p6404, sdef30, sdef107])).
% 77.87/15.49  cnf(p668, plain, (distinct_lines(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | ~spl48), inference(avatar_component_clause, [status(thm)], [sdef48])).
% 77.87/15.49  cnf(p6411, plain, (distinct_lines(sk0,sk0) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,sk0) | ~spl48), inference(resolution, [status(thm)], [p668, p21])).
% 77.87/15.49  cnf(ssp619, plain, (~spl48 | spl38 | spl146), inference(avatar_split_clause, [status(thm)], [p6411, sdef38, sdef146])).
% 77.87/15.49  cnf(p90, plain, convergent_lines(sk2,X0) | convergent_lines(X0,X1) | convergent_lines(sk3,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p32, c5])).
% 77.87/15.49  cnf(p670, plain, convergent_lines(X0,X1) | convergent_lines(sk3,X2) | convergent_lines(X1,X2) | ~apart_point_and_line(intersection_point(sk2,X0),sk2), inference(resolution, [status(thm)], [p90, c8])).
% 77.87/15.49  cnf(p6440, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1) | distinct_lines(sk1,sk2) | ~spl113), inference(resolution, [status(thm)], [p670, p1657])).
% 77.87/15.49  cnf(ssp620, plain, (~spl113 | spl107 | spl131), inference(avatar_split_clause, [status(thm)], [p6440, sdef107, sdef131])).
% 77.87/15.49  cnf(p673, plain, convergent_lines(sk2,X0) | convergent_lines(X0,X1) | convergent_lines(sk3,X2) | ~apart_point_and_line(intersection_point(X1,X2),X1), inference(resolution, [status(thm)], [p90, c8])).
% 77.87/15.49  cnf(p6519, plain, (convergent_lines(sk2,X0) | convergent_lines(X0,sk2) | convergent_lines(sk3,sk0) | distinct_lines(sk1,sk2) | ~spl113), inference(resolution, [status(thm)], [p673, p1657])).
% 77.87/15.49  cnf(ssp621, plain, (~spl113 | spl29 | spl44 | spl107), inference(avatar_split_clause, [status(thm)], [p6519, sdef29, sdef44, sdef107])).
% 77.87/15.49  cnf(p1131, plain, (convergent_lines(X0,sk2) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl79), inference(avatar_component_clause, [status(thm)], [sdef79])).
% 77.87/15.49  cnf(p6556, plain, (convergent_lines(sk0,sk2) | convergent_lines(sk0,sk2) | ~spl79), inference(factoring, [status(thm)], [p1131])).
% 77.87/15.49  cnf(ssp622, plain, (~spl79 | spl3), inference(avatar_split_clause, [status(thm)], [p6556, sdef3])).
% 77.87/15.49  cnf(p6558, plain, (convergent_lines(sk0,sk2) | convergent_lines(sk0,X0) | ~spl79), inference(factoring, [status(thm)], [p1131])).
% 77.87/15.49  cnf(ssp623, plain, (~spl79 | spl3 | spl75), inference(avatar_split_clause, [status(thm)], [p6558, sdef3, sdef75])).
% 77.87/15.49  cnf(p677, plain, convergent_lines(sk2,X0) | convergent_lines(X0,X1) | convergent_lines(sk3,X2) | ~apart_point_and_line(intersection_point(X1,X2),X2), inference(resolution, [status(thm)], [p90, c9])).
% 77.87/15.49  cnf(p6604, plain, (convergent_lines(sk2,X0) | convergent_lines(X0,sk2) | convergent_lines(sk3,sk1) | ~spl102), inference(resolution, [status(thm)], [p677, p1411])).
% 77.87/15.49  cnf(ssp624, plain, (~spl102 | spl23 | spl44), inference(avatar_split_clause, [status(thm)], [p6604, sdef23, sdef44])).
% 77.87/15.49  cnf(p6560, plain, (convergent_lines(X0,sk2) | convergent_lines(X0,sk0) | ~spl79), inference(resolution, [status(thm)], [p1131, c2])).
% 77.87/15.49  cnf(p6593, plain, (convergent_lines(X0,sk0) | ~apart_point_and_line(intersection_point(X0,sk2),X0) | ~spl79), inference(resolution, [status(thm)], [p6560, c8])).
% 77.87/15.49  cnf(p6678, plain, (convergent_lines(sk3,sk0) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | ~spl1 | ~spl79), inference(resolution, [status(thm)], [p6593, p56])).
% 77.87/15.49  cnf(ssp625, plain, (~spl1 | ~spl79 | spl4 | spl29), inference(avatar_split_clause, [status(thm)], [p6678, sdef4, sdef29])).
% 77.87/15.49  cnf(p6561, plain, (convergent_lines(X0,sk2) | convergent_lines(sk0,X0) | ~spl79), inference(resolution, [status(thm)], [p1131, c2])).
% 77.87/15.49  cnf(p6614, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(X0,sk2),X0) | ~spl79), inference(resolution, [status(thm)], [p6561, c8])).
% 77.87/15.49  cnf(p6700, plain, (convergent_lines(sk0,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | ~spl1 | ~spl79), inference(resolution, [status(thm)], [p6614, p56])).
% 77.87/15.49  cnf(ssp626, plain, (~spl1 | ~spl79 | spl4 | spl20), inference(avatar_split_clause, [status(thm)], [p6700, sdef4, sdef20])).
% 77.87/15.49  cnf(p1133, plain, (convergent_lines(X0,sk3) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl80), inference(avatar_component_clause, [status(thm)], [sdef80])).
% 77.87/15.49  cnf(p6743, plain, (convergent_lines(sk0,sk3) | convergent_lines(sk0,sk3) | ~spl80), inference(factoring, [status(thm)], [p1133])).
% 77.87/15.49  cnf(ssp627, plain, (~spl80 | spl20), inference(avatar_split_clause, [status(thm)], [p6743, sdef20])).
% 77.87/15.49  cnf(p6745, plain, (convergent_lines(sk0,sk3) | convergent_lines(sk0,X0) | ~spl80), inference(factoring, [status(thm)], [p1133])).
% 77.87/15.49  cnf(ssp628, plain, (~spl80 | spl20 | spl75), inference(avatar_split_clause, [status(thm)], [p6745, sdef20, sdef75])).
% 77.87/15.49  cnf(p691, plain, (distinct_lines(X0,sk2) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | ~spl49), inference(avatar_component_clause, [status(thm)], [sdef49])).
% 77.87/15.49  cnf(p6788, plain, (distinct_lines(sk2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | ~spl49), inference(factoring, [status(thm)], [p691])).
% 77.87/15.49  cnf(ssp629, plain, (~spl49 | spl0 | spl17 | spl30), inference(avatar_split_clause, [status(thm)], [p6788, sdef0, sdef17, sdef30])).
% 77.87/15.49  cnf(p6790, plain, (distinct_lines(sk0,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | ~spl49), inference(factoring, [status(thm)], [p691])).
% 77.87/15.49  cnf(ssp630, plain, (~spl49 | spl0 | spl17 | spl109), inference(avatar_split_clause, [status(thm)], [p6790, sdef0, sdef17, sdef109])).
% 77.87/15.49  cnf(p701, plain, convergent_lines(sk3,X0) | convergent_lines(X1,X2) | convergent_lines(X0,X2) | ~apart_point_and_line(intersection_point(sk2,X1),X1), inference(resolution, [status(thm)], [p91, c9])).
% 77.87/15.49  cnf(p7203, plain, (convergent_lines(sk3,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1) | convergent_lines(sk1,sk1) | ~spl243), inference(resolution, [status(thm)], [p701, p2500])).
% 77.87/15.49  cnf(ssp631, plain, (~spl243 | spl122 | spl126), inference(avatar_split_clause, [status(thm)], [p7203, sdef122, sdef126])).
% 77.87/15.49  cnf(p7216, plain, (convergent_lines(sk1,X0) | convergent_lines(sk1,sk2) | ~spl86), inference(factoring, [status(thm)], [p1155])).
% 77.87/15.49  cnf(ssp632, plain, (~spl86 | spl13 | spl77), inference(avatar_split_clause, [status(thm)], [p7216, sdef13, sdef77])).
% 77.87/15.49  cnf(p702, plain, convergent_lines(sk2,X0) | convergent_lines(X0,X1) | convergent_lines(X2,X1) | ~apart_point_and_line(intersection_point(sk3,X2),X2), inference(resolution, [status(thm)], [p91, c9])).
% 77.87/15.49  cnf(p7233, plain, (convergent_lines(sk2,X0) | convergent_lines(X0,X1) | convergent_lines(sk1,X1) | distinct_lines(sk2,sk1) | ~spl168), inference(resolution, [status(thm)], [p702, p2461])).
% 77.87/15.49  cnf(ssp633, plain, (~spl168 | spl111 | spl121), inference(avatar_split_clause, [status(thm)], [p7233, sdef111, sdef121])).
% 77.87/15.49  cnf(p2577, plain, (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(X0,sk2),X0) | ~spl203), inference(resolution, [status(thm)], [p2207, c8])).
% 77.87/15.49  cnf(p7326, plain, (convergent_lines(sk1,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | ~spl1 | ~spl203), inference(resolution, [status(thm)], [p2577, p56])).
% 77.87/15.49  cnf(ssp634, plain, (~spl1 | ~spl203 | spl4 | spl28), inference(avatar_split_clause, [status(thm)], [p7326, sdef4, sdef28])).
% 77.87/15.49  cnf(p7353, plain, (convergent_lines(sk1,sk1) | convergent_lines(sk1,sk1) | ~spl203 | ~spl243), inference(resolution, [status(thm)], [p2831, p2500])).
% 77.87/15.49  cnf(ssp635, plain, (~spl203 | ~spl243 | spl126), inference(avatar_split_clause, [status(thm)], [p7353, sdef126])).
% 77.87/15.49  cnf(p255, plain, (convergent_lines(sk1,X0) | convergent_lines(sk2,X0) | ~spl13), inference(resolution, [status(thm)], [p241, c5])).
% 77.87/15.49  cnf(p3374, plain, (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(sk2,X0),X0) | ~spl13), inference(resolution, [status(thm)], [p255, c9])).
% 77.87/15.49  cnf(p7358, plain, (convergent_lines(sk1,sk1) | convergent_lines(sk1,sk1) | ~spl13 | ~spl243), inference(resolution, [status(thm)], [p3374, p2500])).
% 77.87/15.49  cnf(ssp636, plain, (~spl13 | ~spl243 | spl126), inference(avatar_split_clause, [status(thm)], [p7358, sdef126])).
% 77.87/15.49  cnf(p719, plain, (distinct_lines(X0,sk0) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | ~spl52), inference(avatar_component_clause, [status(thm)], [sdef52])).
% 77.87/15.49  cnf(p7377, plain, (distinct_lines(sk2,sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | ~spl52), inference(factoring, [status(thm)], [p719])).
% 77.87/15.49  cnf(ssp637, plain, (~spl52 | spl0 | spl16 | spl112), inference(avatar_split_clause, [status(thm)], [p7377, sdef0, sdef16, sdef112])).
% 77.87/15.49  cnf(p7378, plain, (distinct_lines(sk2,sk0) | apart_point_and_line(X0,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X0,sk1) | ~spl52), inference(factoring, [status(thm)], [p719])).
% 77.87/15.49  cnf(ssp638, plain, (~spl52 | spl0 | spl112 | spl143), inference(avatar_split_clause, [status(thm)], [p7378, sdef0, sdef112, sdef143])).
% 77.87/15.49  cnf(p7380, plain, (distinct_lines(sk0,sk0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk2,sk3),sk1) | ~spl52), inference(resolution, [status(thm)], [p719, c17])).
% 77.87/15.49  cnf(ssp639, plain, (~spl52 | spl17 | spl96 | spl145 | spl146), inference(avatar_split_clause, [status(thm)], [p7380, sdef17, sdef96, sdef145, sdef146])).
% 77.87/15.49  cnf(p1157, plain, (convergent_lines(sk1,X0) | convergent_lines(X1,X0) | convergent_lines(X1,sk3) | ~spl87), inference(avatar_component_clause, [status(thm)], [sdef87])).
% 77.87/15.49  cnf(p7384, plain, (convergent_lines(sk1,X0) | convergent_lines(sk1,sk3) | ~spl87), inference(factoring, [status(thm)], [p1157])).
% 77.87/15.49  cnf(ssp640, plain, (~spl87 | spl28 | spl77), inference(avatar_split_clause, [status(thm)], [p7384, sdef28, sdef77])).
% 77.87/15.49  cnf(p721, plain, (distinct_lines(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | ~spl53), inference(avatar_component_clause, [status(thm)], [sdef53])).
% 77.87/15.49  cnf(p7402, plain, (distinct_lines(sk1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | ~spl53), inference(factoring, [status(thm)], [p721])).
% 77.87/15.49  cnf(ssp641, plain, (~spl53 | spl0 | spl17 | spl107), inference(avatar_split_clause, [status(thm)], [p7402, sdef0, sdef17, sdef107])).
% 77.87/15.49  cnf(p1480, plain, (convergent_lines(sk2,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1) | ~spl121), inference(avatar_component_clause, [status(thm)], [sdef121])).
% 77.87/15.49  cnf(p8048, plain, (convergent_lines(sk2,sk2) | convergent_lines(sk1,sk2) | ~spl121), inference(factoring, [status(thm)], [p1480])).
% 77.87/15.49  cnf(ssp642, plain, (~spl121 | spl5 | spl13), inference(avatar_split_clause, [status(thm)], [p8048, sdef5, sdef13])).
% 77.87/15.49  cnf(p8049, plain, (convergent_lines(sk2,sk1) | convergent_lines(sk1,X0) | ~spl121), inference(factoring, [status(thm)], [p1480])).
% 77.87/15.49  cnf(ssp643, plain, (~spl121 | spl8 | spl77), inference(avatar_split_clause, [status(thm)], [p8049, sdef8, sdef77])).
% 77.87/15.49  cnf(p927, plain, (convergent_lines(X0,sk1) | ~apart_point_and_line(intersection_point(X0,sk2),X0) | ~spl67), inference(resolution, [status(thm)], [p924, c8])).
% 77.87/15.49  cnf(p8308, plain, (convergent_lines(sk3,sk1) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | ~spl1 | ~spl67), inference(resolution, [status(thm)], [p927, p56])).
% 77.87/15.49  cnf(ssp644, plain, (~spl1 | ~spl67 | spl4 | spl23), inference(avatar_split_clause, [status(thm)], [p8308, sdef4, sdef23])).
% 77.87/15.49  cnf(p7280, plain, (convergent_lines(X0,sk1) | ~apart_point_and_line(intersection_point(X0,sk2),X0) | ~spl86), inference(resolution, [status(thm)], [p7218, c8])).
% 77.87/15.49  cnf(p8343, plain, (convergent_lines(sk3,sk1) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | ~spl1 | ~spl86), inference(resolution, [status(thm)], [p7280, p56])).
% 77.87/15.49  cnf(ssp645, plain, (~spl1 | ~spl86 | spl4 | spl23), inference(avatar_split_clause, [status(thm)], [p8343, sdef4, sdef23])).
% 77.87/15.49  cnf(p7219, plain, (convergent_lines(sk1,X0) | convergent_lines(X0,sk2) | ~spl86), inference(resolution, [status(thm)], [p1155, c2])).
% 77.87/15.49  cnf(p8159, plain, (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(X0,sk2),X0) | ~spl86), inference(resolution, [status(thm)], [p7219, c8])).
% 77.87/15.49  cnf(p8384, plain, (convergent_lines(sk1,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | ~spl1 | ~spl86), inference(resolution, [status(thm)], [p8159, p56])).
% 77.87/15.49  cnf(ssp646, plain, (~spl1 | ~spl86 | spl4 | spl28), inference(avatar_split_clause, [status(thm)], [p8384, sdef4, sdef28])).
% 77.87/15.49  cnf(p636, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,sk2)) | ~spl47), inference(avatar_component_clause, [status(thm)], [sdef47])).
% 77.87/15.49  cnf(p780, plain, (~distinct_lines(X0,X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk3,sk2),X0) | apart_point_and_line(intersection_point(sk3,sk2),X1) | ~spl47), inference(resolution, [status(thm)], [p636, c10])).
% 77.87/15.49  cnf(p8399, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk3,sk2),sk1) | apart_point_and_line(intersection_point(sk3,sk2),sk0) | ~spl47), inference(resolution, [status(thm)], [p780, p77])).
% 77.87/15.49  cnf(ssp647, plain, (~spl47 | spl16 | spl17 | spl100 | spl101), inference(avatar_split_clause, [status(thm)], [p8399, sdef16, sdef17, sdef100, sdef101])).
% 77.87/15.49  cnf(p380, plain, (convergent_lines(sk1,X0) | convergent_lines(sk2,X1) | convergent_lines(X0,X1) | ~spl10), inference(resolution, [status(thm)], [p234, c5])).
% 77.87/15.49  cnf(p8461, plain, (convergent_lines(sk1,X0) | convergent_lines(X0,sk2) | ~spl10), inference(resolution, [status(thm)], [p380, c2])).
% 77.87/15.49  cnf(p8475, plain, (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(X0,sk2),X0) | ~spl10), inference(resolution, [status(thm)], [p8461, c8])).
% 77.87/15.49  cnf(p8496, plain, (convergent_lines(sk1,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | ~spl1 | ~spl10), inference(resolution, [status(thm)], [p8475, p56])).
% 77.87/15.49  cnf(ssp648, plain, (~spl1 | ~spl10 | spl4 | spl28), inference(avatar_split_clause, [status(thm)], [p8496, sdef4, sdef28])).
% 77.87/15.49  cnf(p943, plain, (convergent_lines(sk1,X0) | convergent_lines(sk2,X1) | convergent_lines(X0,X1) | ~spl67), inference(resolution, [status(thm)], [p933, c5])).
% 77.87/15.49  cnf(p8686, plain, (convergent_lines(sk1,X0) | convergent_lines(X0,sk2) | ~spl67), inference(resolution, [status(thm)], [p943, c2])).
% 77.87/15.49  cnf(p8699, plain, (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(X0,sk2),X0) | ~spl67), inference(resolution, [status(thm)], [p8686, c8])).
% 77.87/15.49  cnf(p8707, plain, (convergent_lines(sk1,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | ~spl1 | ~spl67), inference(resolution, [status(thm)], [p8699, p56])).
% 77.87/15.49  cnf(ssp649, plain, (~spl1 | ~spl67 | spl4 | spl28), inference(avatar_split_clause, [status(thm)], [p8707, sdef4, sdef28])).
% 77.87/15.49  cnf(p811, plain, (distinct_lines(X0,sk2) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | ~spl55), inference(avatar_component_clause, [status(thm)], [sdef55])).
% 77.87/15.49  cnf(p9232, plain, (distinct_lines(sk0,sk2) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,sk0) | ~spl55), inference(resolution, [status(thm)], [p811, p21])).
% 77.87/15.49  cnf(ssp650, plain, (~spl55 | spl38 | spl109), inference(avatar_split_clause, [status(thm)], [p9232, sdef38, sdef109])).
% 77.87/15.49  cnf(p9233, plain, (distinct_lines(sk1,sk2) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk3) | apart_point_and_line(X0,sk1) | ~spl55), inference(resolution, [status(thm)], [p811, p23])).
% 77.87/15.49  cnf(ssp651, plain, (~spl55 | spl40 | spl107), inference(avatar_split_clause, [status(thm)], [p9233, sdef40, sdef107])).
% 77.87/15.49  cnf(p1482, plain, (convergent_lines(sk3,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1) | ~spl122), inference(avatar_component_clause, [status(thm)], [sdef122])).
% 77.87/15.49  cnf(p10155, plain, (convergent_lines(sk3,sk3) | convergent_lines(sk1,sk3) | ~spl122), inference(factoring, [status(thm)], [p1482])).
% 77.87/15.49  cnf(ssp652, plain, (~spl122 | spl28 | spl81), inference(avatar_split_clause, [status(thm)], [p10155, sdef28, sdef81])).
% 77.87/15.49  cnf(p10156, plain, (convergent_lines(sk3,sk1) | convergent_lines(sk1,X0) | ~spl122), inference(factoring, [status(thm)], [p1482])).
% 77.87/15.49  cnf(ssp653, plain, (~spl122 | spl23 | spl77), inference(avatar_split_clause, [status(thm)], [p10156, sdef23, sdef77])).
% 77.87/15.49  cnf(p824, plain, (distinct_lines(X0,sk2) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | ~spl58), inference(avatar_component_clause, [status(thm)], [sdef58])).
% 77.87/15.49  cnf(p10185, plain, (distinct_lines(sk2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | ~spl58), inference(factoring, [status(thm)], [p824])).
% 77.87/15.49  cnf(ssp654, plain, (~spl58 | spl0 | spl16 | spl30), inference(avatar_split_clause, [status(thm)], [p10185, sdef0, sdef16, sdef30])).
% 77.87/15.49  cnf(p10186, plain, (distinct_lines(sk2,sk2) | apart_point_and_line(X0,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X0,sk1) | ~spl58), inference(factoring, [status(thm)], [p824])).
% 77.87/15.49  cnf(ssp655, plain, (~spl58 | spl0 | spl30 | spl143), inference(avatar_split_clause, [status(thm)], [p10186, sdef0, sdef30, sdef143])).
% 77.87/15.49  cnf(p10187, plain, (distinct_lines(sk1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | ~spl58), inference(factoring, [status(thm)], [p824])).
% 77.87/15.49  cnf(ssp656, plain, (~spl58 | spl0 | spl16 | spl107), inference(avatar_split_clause, [status(thm)], [p10187, sdef0, sdef16, sdef107])).
% 77.87/15.49  cnf(p10189, plain, (distinct_lines(sk1,sk2) | apart_point_and_line(X0,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X0,sk1) | ~spl58), inference(factoring, [status(thm)], [p824])).
% 77.87/15.49  cnf(ssp657, plain, (~spl58 | spl16 | spl107 | spl143), inference(avatar_split_clause, [status(thm)], [p10189, sdef16, sdef107, sdef143])).
% 77.87/15.49  cnf(p829, plain, convergent_lines(sk2,X0) | convergent_lines(X1,X0) | ~apart_point_and_line(intersection_point(X1,sk3),X1), inference(resolution, [status(thm)], [p108, c8])).
% 77.87/15.49  cnf(p10213, plain, (convergent_lines(sk2,X0) | convergent_lines(sk0,X0) | distinct_lines(sk2,sk0) | ~spl166), inference(resolution, [status(thm)], [p829, p2454])).
% 77.87/15.49  cnf(ssp658, plain, (~spl166 | spl64 | spl112), inference(avatar_split_clause, [status(thm)], [p10213, sdef64, sdef112])).
% 77.87/15.49  cnf(p10214, plain, (convergent_lines(sk2,X0) | convergent_lines(sk1,X0) | distinct_lines(sk2,sk1) | ~spl170), inference(resolution, [status(thm)], [p829, p2469])).
% 77.87/15.49  cnf(ssp659, plain, (~spl170 | spl10 | spl111), inference(avatar_split_clause, [status(thm)], [p10214, sdef10, sdef111])).
% 77.87/15.49  cnf(p1489, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(X1,sk3) | ~spl124), inference(avatar_component_clause, [status(thm)], [sdef124])).
% 77.87/15.49  cnf(p10354, plain, (convergent_lines(sk0,sk0) | convergent_lines(sk0,sk3) | ~spl124), inference(factoring, [status(thm)], [p1489])).
% 77.87/15.49  cnf(ssp660, plain, (~spl124 | spl20 | spl127), inference(avatar_split_clause, [status(thm)], [p10354, sdef20, sdef127])).
% 77.87/15.49  cnf(p10355, plain, (convergent_lines(sk0,sk3) | convergent_lines(sk3,sk0) | ~spl124), inference(factoring, [status(thm)], [p1489])).
% 77.87/15.49  cnf(ssp661, plain, (~spl124 | spl20 | spl29), inference(avatar_split_clause, [status(thm)], [p10355, sdef20, sdef29])).
% 77.87/15.49  cnf(p10356, plain, (convergent_lines(sk0,sk3) | convergent_lines(sk3,sk3) | ~spl124), inference(factoring, [status(thm)], [p1489])).
% 77.87/15.49  cnf(ssp662, plain, (~spl124 | spl20 | spl81), inference(avatar_split_clause, [status(thm)], [p10356, sdef20, sdef81])).
% 77.87/15.49  cnf(p10357, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk3) | ~spl124), inference(resolution, [status(thm)], [p1489, c2])).
% 77.87/15.49  cnf(p10370, plain, (convergent_lines(sk0,sk3) | ~spl124), inference(resolution, [status(thm)], [p10357, c2])).
% 77.87/15.49  cnf(p10397, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X0) | ~spl124), inference(resolution, [status(thm)], [p10370, c5])).
% 77.87/15.49  cnf(p10429, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk3,X0),X0) | ~spl124), inference(resolution, [status(thm)], [p10397, c9])).
% 77.87/15.49  cnf(p10504, plain, (convergent_lines(sk0,sk0) | distinct_lines(sk2,sk0) | ~spl124 | ~spl172), inference(resolution, [status(thm)], [p10429, p2482])).
% 77.87/15.49  cnf(ssp663, plain, (~spl124 | ~spl172 | spl112 | spl127), inference(avatar_split_clause, [status(thm)], [p10504, sdef112, sdef127])).
% 77.87/15.49  cnf(p1684, plain, (convergent_lines(sk1,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1) | ~spl130), inference(avatar_component_clause, [status(thm)], [sdef130])).
% 77.87/15.49  cnf(p10517, plain, (convergent_lines(sk1,sk1) | convergent_lines(sk3,sk1) | ~spl130), inference(factoring, [status(thm)], [p1684])).
% 77.87/15.49  cnf(ssp664, plain, (~spl130 | spl23 | spl126), inference(avatar_split_clause, [status(thm)], [p10517, sdef23, sdef126])).
% 77.87/15.49  cnf(p10519, plain, (convergent_lines(sk3,X0) | convergent_lines(sk1,X0) | ~spl130), inference(resolution, [status(thm)], [p1684, c2])).
% 77.87/15.49  cnf(p10570, plain, (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(sk3,X0),X0) | ~spl130), inference(resolution, [status(thm)], [p10519, c9])).
% 77.87/15.49  cnf(p10622, plain, (convergent_lines(sk1,sk1) | distinct_lines(sk2,sk1) | ~spl130 | ~spl168), inference(resolution, [status(thm)], [p10570, p2461])).
% 77.87/15.49  cnf(ssp665, plain, (~spl130 | ~spl168 | spl111 | spl126), inference(avatar_split_clause, [status(thm)], [p10622, sdef111, sdef126])).
% 77.87/15.49  cnf(p1686, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(sk3,X1) | ~spl131), inference(avatar_component_clause, [status(thm)], [sdef131])).
% 77.87/15.49  cnf(p10680, plain, (convergent_lines(sk0,sk0) | convergent_lines(sk3,sk0) | ~spl131), inference(factoring, [status(thm)], [p1686])).
% 77.87/15.49  cnf(ssp666, plain, (~spl131 | spl29 | spl127), inference(avatar_split_clause, [status(thm)], [p10680, sdef29, sdef127])).
% 77.87/15.49  cnf(p10682, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X0) | ~spl131), inference(resolution, [status(thm)], [p1686, c2])).
% 77.87/15.49  cnf(p10725, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk3,X0),X0) | ~spl131), inference(resolution, [status(thm)], [p10682, c9])).
% 77.87/15.49  cnf(p10775, plain, (convergent_lines(sk0,sk0) | distinct_lines(sk2,sk0) | ~spl131 | ~spl172), inference(resolution, [status(thm)], [p10725, p2482])).
% 77.87/15.49  cnf(ssp667, plain, (~spl131 | ~spl172 | spl112 | spl127), inference(avatar_split_clause, [status(thm)], [p10775, sdef112, sdef127])).
% 77.87/15.49  cnf(p1695, plain, (convergent_lines(sk0,X0) | convergent_lines(sk2,X1) | convergent_lines(X0,X1) | ~spl14), inference(resolution, [status(thm)], [p261, c5])).
% 77.87/15.49  cnf(p10814, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | ~spl14), inference(resolution, [status(thm)], [p1695, c2])).
% 77.87/15.49  cnf(p10832, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(X0,sk2),X0) | ~spl14), inference(resolution, [status(thm)], [p10814, c8])).
% 77.87/15.49  cnf(p10839, plain, (convergent_lines(sk0,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | ~spl1 | ~spl14), inference(resolution, [status(thm)], [p10832, p56])).
% 77.87/15.49  cnf(ssp668, plain, (~spl1 | ~spl14 | spl4 | spl20), inference(avatar_split_clause, [status(thm)], [p10839, sdef4, sdef20])).
% 77.87/15.49  cnf(p881, plain, (distinct_lines(sk0,X0) | distinct_lines(X0,X1) | apart_point_and_line(X2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,sk1) | apart_point_and_line(X2,X1) | ~spl62), inference(avatar_component_clause, [status(thm)], [sdef62])).
% 77.87/15.49  cnf(p11554, plain, (distinct_lines(sk0,sk0) | apart_point_and_line(X0,sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk0) | ~spl62), inference(factoring, [status(thm)], [p881])).
% 77.87/15.49  cnf(ssp669, plain, (~spl62 | spl15 | spl17 | spl146), inference(avatar_split_clause, [status(thm)], [p11554, sdef15, sdef17, sdef146])).
% 77.87/15.49  cnf(p885, plain, (distinct_lines(X0,sk1) | apart_point_and_line(X1,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | ~spl63), inference(avatar_component_clause, [status(thm)], [sdef63])).
% 77.87/15.49  cnf(p11581, plain, (distinct_lines(sk2,sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | ~spl63), inference(factoring, [status(thm)], [p885])).
% 77.87/15.49  cnf(ssp670, plain, (~spl63 | spl0 | spl17 | spl111), inference(avatar_split_clause, [status(thm)], [p11581, sdef0, sdef17, sdef111])).
% 77.87/15.49  cnf(p11587, plain, (distinct_lines(sk3,sk1) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk2,sk3),sk0) | ~spl63), inference(resolution, [status(thm)], [p885, p24])).
% 77.87/15.49  cnf(ssp671, plain, (~spl63 | spl1 | spl97 | spl139 | spl145), inference(avatar_split_clause, [status(thm)], [p11587, sdef1, sdef97, sdef139, sdef145])).
% 77.87/15.49  cnf(p11655, plain, (distinct_lines(sk3,sk1) | apart_point_and_line(intersection_point(sk3,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk3) | apart_point_and_line(intersection_point(sk3,sk2),sk0) | ~spl63), inference(resolution, [status(thm)], [p885, p844])).
% 77.87/15.49  cnf(ssp672, plain, (~spl63 | spl1 | spl101 | spl139 | spl178), inference(avatar_split_clause, [status(thm)], [p11655, sdef1, sdef101, sdef139, sdef178])).
% 77.87/15.49  cnf(p132, plain, convergent_lines(X0,sk1) | convergent_lines(X0,X1) | convergent_lines(sk0,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p47, c5])).
% 77.87/15.49  cnf(p952, plain, convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | convergent_lines(X2,X1) | ~apart_point_and_line(intersection_point(X0,X2),X0), inference(resolution, [status(thm)], [p132, c8])).
% 77.87/15.49  cnf(p12348, plain, (convergent_lines(sk1,sk1) | convergent_lines(sk0,X0) | convergent_lines(sk3,X0) | distinct_lines(sk2,sk1) | ~spl170), inference(resolution, [status(thm)], [p952, p2469])).
% 77.87/15.49  cnf(ssp673, plain, (~spl170 | spl111 | spl126 | spl213), inference(avatar_split_clause, [status(thm)], [p12348, sdef111, sdef126, sdef213])).
% 77.87/15.49  cnf(p954, plain, convergent_lines(X0,sk1) | convergent_lines(X0,X1) | convergent_lines(sk0,X2) | ~apart_point_and_line(intersection_point(X1,X2),X1), inference(resolution, [status(thm)], [p132, c8])).
% 77.87/15.49  cnf(p12418, plain, (convergent_lines(X0,sk1) | convergent_lines(X0,sk3) | convergent_lines(sk0,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk3,X1),X2) | ~spl1), inference(resolution, [status(thm)], [p954, p56])).
% 77.87/15.49  cnf(ssp674, plain, (~spl1 | spl78 | spl215), inference(avatar_split_clause, [status(thm)], [p12418, sdef78, sdef215])).
% 77.87/15.49  cnf(p12419, plain, (convergent_lines(X0,sk1) | convergent_lines(X0,sk3) | convergent_lines(sk0,X1) | distinct_points(intersection_point(sk3,X1),X2) | distinct_points(intersection_point(sk0,sk1),X3) | distinct_points(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p954, p275])).
% 77.87/15.49  cnf(ssp675, plain, (~spl1 | spl214 | spl215), inference(avatar_split_clause, [status(thm)], [p12419, sdef214, sdef215])).
% 77.87/15.49  cnf(p12423, plain, (convergent_lines(X0,sk1) | convergent_lines(X0,sk2) | convergent_lines(sk0,sk0) | distinct_lines(sk1,sk2) | ~spl113), inference(resolution, [status(thm)], [p954, p1657])).
% 77.87/15.49  cnf(ssp676, plain, (~spl113 | spl67 | spl107 | spl127), inference(avatar_split_clause, [status(thm)], [p12423, sdef67, sdef107, sdef127])).
% 77.87/15.49  cnf(p1873, plain, (distinct_lines(X0,sk3) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl134), inference(resolution, [status(thm)], [p1854, c5])).
% 77.87/15.49  cnf(p12409, plain, (distinct_lines(X0,sk3) | convergent_lines(X0,sk0) | ~spl134), inference(resolution, [status(thm)], [p1873, c2])).
% 77.87/15.49  cnf(p12441, plain, (distinct_lines(X0,sk3) | ~apart_point_and_line(intersection_point(X0,sk0),X0) | ~spl134), inference(resolution, [status(thm)], [p12409, c8])).
% 77.87/15.49  cnf(p12445, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk3,sk0),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | ~spl1 | ~spl134), inference(resolution, [status(thm)], [p12441, p275])).
% 77.87/15.49  cnf(ssp677, plain, (~spl1 | ~spl134 | spl85 | spl217), inference(avatar_split_clause, [status(thm)], [p12445, sdef85, sdef217])).
% 77.87/15.49  cnf(p12446, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk0),X1) | distinct_points(X0,X1) | ~spl1 | ~spl134), inference(resolution, [status(thm)], [p12441, p276])).
% 77.87/15.49  cnf(ssp678, plain, (~spl1 | ~spl134 | spl85 | spl233), inference(avatar_split_clause, [status(thm)], [p12446, sdef85, sdef233])).
% 77.87/15.49  cnf(p12442, plain, (distinct_lines(X0,sk3) | ~apart_point_and_line(intersection_point(X0,sk0),sk0) | ~spl134), inference(resolution, [status(thm)], [p12409, c9])).
% 77.87/15.49  cnf(p12456, plain, (distinct_lines(sk3,sk3) | distinct_lines(sk2,sk0) | ~spl134 | ~spl172), inference(resolution, [status(thm)], [p12442, p2482])).
% 77.87/15.49  cnf(ssp679, plain, (~spl134 | ~spl172 | spl85 | spl112), inference(avatar_split_clause, [status(thm)], [p12456, sdef85, sdef112])).
% 77.87/15.49  cnf(p956, plain, convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | convergent_lines(X2,X1) | ~apart_point_and_line(intersection_point(X0,X2),X2), inference(resolution, [status(thm)], [p132, c9])).
% 77.87/15.49  cnf(p12494, plain, (convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | convergent_lines(sk3,X1) | distinct_points(intersection_point(X0,sk3),X2) | distinct_points(intersection_point(sk0,sk1),X3) | distinct_points(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p956, p275])).
% 77.87/15.49  cnf(ssp680, plain, (~spl1 | spl213 | spl216), inference(avatar_split_clause, [status(thm)], [p12494, sdef213, sdef216])).
% 77.87/15.49  cnf(p958, plain, convergent_lines(X0,sk1) | convergent_lines(X0,X1) | convergent_lines(sk0,X2) | ~apart_point_and_line(intersection_point(X1,X2),X2), inference(resolution, [status(thm)], [p132, c9])).
% 77.87/15.49  cnf(p12569, plain, (convergent_lines(X0,sk1) | convergent_lines(X0,sk3) | convergent_lines(sk0,sk0) | distinct_lines(sk2,sk0) | ~spl172), inference(resolution, [status(thm)], [p958, p2482])).
% 77.87/15.49  cnf(ssp681, plain, (~spl172 | spl112 | spl127 | spl215), inference(avatar_split_clause, [status(thm)], [p12569, sdef112, sdef127, sdef215])).
% 77.87/15.49  cnf(p1874, plain, (distinct_lines(X0,sk3) | distinct_lines(X0,X1) | convergent_lines(sk0,X1) | ~spl134), inference(resolution, [status(thm)], [p1854, c13])).
% 77.87/15.49  cnf(p12461, plain, (distinct_lines(X0,sk3) | convergent_lines(sk0,sk3) | ~spl134), inference(factoring, [status(thm)], [p1874])).
% 77.87/15.49  cnf(p12480, plain, (convergent_lines(sk0,sk3) | ~spl134), inference(resolution, [status(thm)], [p12461, c1])).
% 77.87/15.49  cnf(p12483, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X0) | ~spl134), inference(resolution, [status(thm)], [p12480, c5])).
% 77.87/15.49  cnf(p12553, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk3,X0),X0) | ~spl134), inference(resolution, [status(thm)], [p12483, c9])).
% 77.87/15.49  cnf(p12599, plain, (convergent_lines(sk0,sk0) | distinct_lines(sk2,sk0) | ~spl134 | ~spl172), inference(resolution, [status(thm)], [p12553, p2482])).
% 77.87/15.49  cnf(ssp682, plain, (~spl134 | ~spl172 | spl112 | spl127), inference(avatar_split_clause, [status(thm)], [p12599, sdef112, sdef127])).
% 77.87/15.49  cnf(p1957, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(X1,sk2) | ~spl140), inference(avatar_component_clause, [status(thm)], [sdef140])).
% 77.87/15.49  cnf(p12666, plain, (convergent_lines(sk0,sk0) | convergent_lines(sk0,sk2) | ~spl140), inference(factoring, [status(thm)], [p1957])).
% 77.87/15.49  cnf(ssp683, plain, (~spl140 | spl3 | spl127), inference(avatar_split_clause, [status(thm)], [p12666, sdef3, sdef127])).
% 77.87/15.49  cnf(p12667, plain, (convergent_lines(sk0,sk2) | convergent_lines(sk2,sk0) | ~spl140), inference(factoring, [status(thm)], [p1957])).
% 77.87/15.49  cnf(ssp684, plain, (~spl140 | spl3 | spl14), inference(avatar_split_clause, [status(thm)], [p12667, sdef3, sdef14])).
% 77.87/15.49  cnf(p12668, plain, (convergent_lines(sk0,sk2) | convergent_lines(sk2,sk2) | ~spl140), inference(factoring, [status(thm)], [p1957])).
% 77.87/15.49  cnf(ssp685, plain, (~spl140 | spl3 | spl5), inference(avatar_split_clause, [status(thm)], [p12668, sdef3, sdef5])).
% 77.87/15.49  cnf(p12669, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | ~spl140), inference(resolution, [status(thm)], [p1957, c2])).
% 77.87/15.49  cnf(p12684, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(X0,sk2),X0) | ~spl140), inference(resolution, [status(thm)], [p12669, c8])).
% 77.87/15.49  cnf(p12766, plain, (convergent_lines(sk0,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | ~spl1 | ~spl140), inference(resolution, [status(thm)], [p12684, p56])).
% 77.87/15.49  cnf(ssp686, plain, (~spl1 | ~spl140 | spl4 | spl20), inference(avatar_split_clause, [status(thm)], [p12766, sdef4, sdef20])).
% 77.87/15.49  cnf(p12682, plain, (convergent_lines(sk0,sk2) | ~spl140), inference(resolution, [status(thm)], [p12669, c2])).
% 77.87/15.49  cnf(p12709, plain, (convergent_lines(sk0,X0) | convergent_lines(sk2,X0) | ~spl140), inference(resolution, [status(thm)], [p12682, c5])).
% 77.87/15.49  cnf(p12721, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk2,X0),sk2) | ~spl140), inference(resolution, [status(thm)], [p12709, c8])).
% 77.87/15.49  cnf(p12801, plain, (convergent_lines(sk0,sk0) | distinct_lines(sk1,sk2) | ~spl113 | ~spl140), inference(resolution, [status(thm)], [p12721, p1657])).
% 77.87/15.49  cnf(ssp687, plain, (~spl113 | ~spl140 | spl107 | spl127), inference(avatar_split_clause, [status(thm)], [p12801, sdef107, sdef127])).
% 77.87/15.49  cnf(p1959, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(sk2,X1) | ~spl141), inference(avatar_component_clause, [status(thm)], [sdef141])).
% 77.87/15.49  cnf(p12833, plain, (convergent_lines(sk0,sk0) | convergent_lines(sk2,sk0) | ~spl141), inference(factoring, [status(thm)], [p1959])).
% 77.87/15.49  cnf(ssp688, plain, (~spl141 | spl14 | spl127), inference(avatar_split_clause, [status(thm)], [p12833, sdef14, sdef127])).
% 77.87/15.49  cnf(p133, plain, convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | convergent_lines(X0,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p47, c5])).
% 77.87/15.49  cnf(p977, plain, convergent_lines(sk0,X0) | convergent_lines(X1,X2) | convergent_lines(X0,X2) | ~apart_point_and_line(intersection_point(X1,sk1),X1), inference(resolution, [status(thm)], [p133, c8])).
% 77.87/15.49  cnf(p12857, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk3,sk1),X2) | ~spl1), inference(resolution, [status(thm)], [p977, p56])).
% 77.87/15.49  cnf(ssp689, plain, (~spl1 | spl21 | spl131), inference(avatar_split_clause, [status(thm)], [p12857, sdef21, sdef131])).
% 77.87/15.49  cnf(p12858, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk3,sk1),X2) | distinct_points(intersection_point(sk0,sk1),X3) | distinct_points(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p977, p275])).
% 77.87/15.49  cnf(ssp690, plain, (~spl1 | spl131 | spl208), inference(avatar_split_clause, [status(thm)], [p12858, sdef131, sdef208])).
% 77.87/15.49  cnf(p12859, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk3,sk1),X3) | distinct_points(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p977, p276])).
% 77.87/15.49  cnf(ssp691, plain, (~spl1 | spl131 | spl226), inference(avatar_split_clause, [status(thm)], [p12859, sdef131, sdef226])).
% 77.87/15.49  cnf(p12835, plain, (convergent_lines(sk0,X0) | convergent_lines(sk2,X0) | ~spl141), inference(resolution, [status(thm)], [p1959, c2])).
% 77.87/15.49  cnf(p12883, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk2,X0),sk2) | ~spl141), inference(resolution, [status(thm)], [p12835, c8])).
% 77.87/15.49  cnf(p12910, plain, (convergent_lines(sk0,sk0) | distinct_lines(sk1,sk2) | ~spl113 | ~spl141), inference(resolution, [status(thm)], [p12883, p1657])).
% 77.87/15.49  cnf(ssp692, plain, (~spl113 | ~spl141 | spl107 | spl127), inference(avatar_split_clause, [status(thm)], [p12910, sdef107, sdef127])).
% 77.87/15.49  cnf(p979, plain, convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | convergent_lines(X1,X2) | ~apart_point_and_line(intersection_point(X0,X2),X0), inference(resolution, [status(thm)], [p133, c8])).
% 77.87/15.49  cnf(p12917, plain, (convergent_lines(sk3,sk1) | convergent_lines(sk0,X0) | convergent_lines(X0,X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk3,X1),X2) | ~spl1), inference(resolution, [status(thm)], [p979, p56])).
% 77.87/15.49  cnf(ssp693, plain, (~spl1 | spl23 | spl129), inference(avatar_split_clause, [status(thm)], [p12917, sdef23, sdef129])).
% 77.87/15.49  cnf(p12836, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | ~spl141), inference(resolution, [status(thm)], [p1959, c2])).
% 77.87/15.49  cnf(p12887, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(X0,sk2),X0) | ~spl141), inference(resolution, [status(thm)], [p12836, c8])).
% 77.87/15.49  cnf(p12947, plain, (convergent_lines(sk0,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | ~spl1 | ~spl141), inference(resolution, [status(thm)], [p12887, p56])).
% 77.87/15.49  cnf(ssp694, plain, (~spl1 | ~spl141 | spl4 | spl20), inference(avatar_split_clause, [status(thm)], [p12947, sdef4, sdef20])).
% 77.87/15.49  cnf(p981, plain, convergent_lines(sk0,X0) | convergent_lines(X1,X2) | convergent_lines(X0,X2) | ~apart_point_and_line(intersection_point(X1,sk1),sk1), inference(resolution, [status(thm)], [p133, c9])).
% 77.87/15.49  cnf(p13005, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1) | distinct_lines(sk2,sk1) | ~spl168), inference(resolution, [status(thm)], [p981, p2461])).
% 77.87/15.49  cnf(ssp695, plain, (~spl168 | spl111 | spl131), inference(avatar_split_clause, [status(thm)], [p13005, sdef111, sdef131])).
% 77.87/15.49  cnf(p1966, plain, (distinct_lines(X0,sk2) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl142), inference(resolution, [status(thm)], [p1961, c5])).
% 77.87/15.49  cnf(p12996, plain, (distinct_lines(X0,sk2) | convergent_lines(X0,sk0) | ~spl142), inference(resolution, [status(thm)], [p1966, c2])).
% 77.87/15.49  cnf(p13013, plain, (distinct_lines(X0,sk2) | ~apart_point_and_line(intersection_point(X0,sk0),X0) | ~spl142), inference(resolution, [status(thm)], [p12996, c8])).
% 77.87/15.49  cnf(p13016, plain, (distinct_lines(sk2,sk2) | distinct_lines(sk1,sk2) | ~spl113 | ~spl142), inference(resolution, [status(thm)], [p13013, p1657])).
% 77.87/15.49  cnf(ssp696, plain, (~spl113 | ~spl142 | spl30 | spl107), inference(avatar_split_clause, [status(thm)], [p13016, sdef30, sdef107])).
% 77.87/15.49  cnf(p983, plain, convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | convergent_lines(X1,X2) | ~apart_point_and_line(intersection_point(X0,X2),X2), inference(resolution, [status(thm)], [p133, c9])).
% 77.87/15.49  cnf(p13081, plain, (convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | convergent_lines(X1,sk3) | distinct_points(intersection_point(X0,sk3),X2) | distinct_points(intersection_point(sk0,sk1),X3) | distinct_points(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p983, p275])).
% 77.87/15.49  cnf(ssp697, plain, (~spl1 | spl26 | spl216), inference(avatar_split_clause, [status(thm)], [p13081, sdef26, sdef216])).
% 77.87/15.49  cnf(p984, plain, convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | convergent_lines(X0,X2) | ~apart_point_and_line(intersection_point(X1,X2),X2), inference(resolution, [status(thm)], [p133, c9])).
% 77.87/15.49  cnf(p13112, plain, (convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | convergent_lines(X0,sk3) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(X1,sk3),X2) | ~spl1), inference(resolution, [status(thm)], [p984, p56])).
% 77.87/15.49  cnf(ssp698, plain, (~spl1 | spl123 | spl215), inference(avatar_split_clause, [status(thm)], [p13112, sdef123, sdef215])).
% 77.87/15.49  cnf(p13113, plain, (convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | convergent_lines(X0,sk3) | distinct_points(intersection_point(X1,sk3),X2) | distinct_points(intersection_point(sk0,sk1),X3) | distinct_points(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p984, p275])).
% 77.87/15.49  cnf(ssp699, plain, (~spl1 | spl211 | spl215), inference(avatar_split_clause, [status(thm)], [p13113, sdef211, sdef215])).
% 77.87/15.49  cnf(p1967, plain, (distinct_lines(X0,sk2) | distinct_lines(X0,X1) | convergent_lines(sk0,X1) | ~spl142), inference(resolution, [status(thm)], [p1961, c13])).
% 77.87/15.49  cnf(p13033, plain, (distinct_lines(X0,sk2) | convergent_lines(sk0,sk2) | ~spl142), inference(factoring, [status(thm)], [p1967])).
% 77.87/15.49  cnf(p13068, plain, (convergent_lines(sk0,sk2) | ~spl142), inference(resolution, [status(thm)], [p13033, c1])).
% 77.87/15.49  cnf(p13071, plain, (convergent_lines(sk0,X0) | convergent_lines(sk2,X0) | ~spl142), inference(resolution, [status(thm)], [p13068, c5])).
% 77.87/15.49  cnf(p13108, plain, (convergent_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk2,X0),sk2) | ~spl142), inference(resolution, [status(thm)], [p13071, c8])).
% 77.87/15.49  cnf(p13144, plain, (convergent_lines(sk0,sk0) | distinct_lines(sk1,sk2) | ~spl113 | ~spl142), inference(resolution, [status(thm)], [p13108, p1657])).
% 77.87/15.49  cnf(ssp700, plain, (~spl113 | ~spl142 | spl107 | spl127), inference(avatar_split_clause, [status(thm)], [p13144, sdef107, sdef127])).
% 77.87/15.49  cnf(p2199, plain, (convergent_lines(sk1,X0) | convergent_lines(sk2,X1) | convergent_lines(X0,X1) | ~spl202), inference(avatar_component_clause, [status(thm)], [sdef202])).
% 77.87/15.49  cnf(p13207, plain, (convergent_lines(sk1,sk1) | convergent_lines(sk2,sk1) | ~spl202), inference(factoring, [status(thm)], [p2199])).
% 77.87/15.49  cnf(ssp701, plain, (~spl202 | spl8 | spl126), inference(avatar_split_clause, [status(thm)], [p13207, sdef8, sdef126])).
% 77.87/15.49  cnf(p13210, plain, (convergent_lines(sk1,X0) | convergent_lines(X0,sk2) | ~spl202), inference(resolution, [status(thm)], [p2199, c2])).
% 77.87/15.49  cnf(p13273, plain, (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(X0,sk2),X0) | ~spl202), inference(resolution, [status(thm)], [p13210, c8])).
% 77.87/15.49  cnf(p13325, plain, (convergent_lines(sk1,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | ~spl1 | ~spl202), inference(resolution, [status(thm)], [p13273, p56])).
% 77.87/15.49  cnf(ssp702, plain, (~spl1 | ~spl202 | spl4 | spl28), inference(avatar_split_clause, [status(thm)], [p13325, sdef4, sdef28])).
% 77.87/15.49  cnf(p2580, plain, (convergent_lines(X0,sk2) | convergent_lines(sk1,X1) | convergent_lines(X0,X1) | ~spl203), inference(resolution, [status(thm)], [p2207, c5])).
% 77.87/15.49  cnf(p13385, plain, (convergent_lines(X0,sk2) | convergent_lines(X0,sk1) | ~spl203), inference(resolution, [status(thm)], [p2580, c2])).
% 77.87/15.49  cnf(p13399, plain, (convergent_lines(X0,sk1) | ~apart_point_and_line(intersection_point(X0,sk2),X0) | ~spl203), inference(resolution, [status(thm)], [p13385, c8])).
% 77.87/15.49  cnf(p13461, plain, (convergent_lines(sk3,sk1) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | ~spl1 | ~spl203), inference(resolution, [status(thm)], [p13399, p56])).
% 77.87/15.49  cnf(ssp703, plain, (~spl1 | ~spl203 | spl4 | spl23), inference(avatar_split_clause, [status(thm)], [p13461, sdef4, sdef23])).
% 77.87/15.49  cnf(p2724, plain, (convergent_lines(sk0,X0) | distinct_lines(X0,X1) | convergent_lines(sk3,X1) | ~spl213), inference(resolution, [status(thm)], [p2275, c13])).
% 77.87/15.49  cnf(p13648, plain, (distinct_lines(sk0,X0) | convergent_lines(sk3,X0) | ~spl213), inference(resolution, [status(thm)], [p2724, c2])).
% 77.87/15.49  cnf(p13662, plain, (distinct_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk3,X0),X0) | ~spl213), inference(resolution, [status(thm)], [p13648, c9])).
% 77.87/15.49  cnf(p13688, plain, (distinct_lines(sk0,sk0) | distinct_lines(sk2,sk0) | ~spl172 | ~spl213), inference(resolution, [status(thm)], [p13662, p2482])).
% 77.87/15.49  cnf(ssp704, plain, (~spl172 | ~spl213 | spl112 | spl146), inference(avatar_split_clause, [status(thm)], [p13688, sdef112, sdef146])).
% 77.87/15.49  cnf(p2720, plain, (convergent_lines(sk0,sk3) | ~spl213), inference(resolution, [status(thm)], [p2275, c2])).
% 77.87/15.49  cnf(p2727, plain, (distinct_lines(sk3,X0) | convergent_lines(sk0,X0) | ~spl213), inference(resolution, [status(thm)], [p2720, c13])).
% 77.87/15.49  cnf(p2858, plain, (distinct_lines(sk3,X0) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl213), inference(resolution, [status(thm)], [p2727, c5])).
% 77.87/15.49  cnf(p14043, plain, (distinct_lines(sk3,X0) | convergent_lines(X0,sk0) | ~spl213), inference(resolution, [status(thm)], [p2858, c2])).
% 77.87/15.49  cnf(p14052, plain, (distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(X0,sk0),X0) | ~spl213), inference(resolution, [status(thm)], [p14043, c8])).
% 77.87/15.49  cnf(p14056, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk3,sk0),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | ~spl1 | ~spl213), inference(resolution, [status(thm)], [p14052, p275])).
% 77.87/15.49  cnf(ssp705, plain, (~spl1 | ~spl213 | spl85 | spl217), inference(avatar_split_clause, [status(thm)], [p14056, sdef85, sdef217])).
% 77.87/15.49  cnf(p14057, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk0),X1) | distinct_points(X0,X1) | ~spl1 | ~spl213), inference(resolution, [status(thm)], [p14052, p276])).
% 77.87/15.49  cnf(ssp706, plain, (~spl1 | ~spl213 | spl85 | spl233), inference(avatar_split_clause, [status(thm)], [p14057, sdef85, sdef233])).
% 77.87/15.49  cnf(p14053, plain, (distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(X0,sk0),sk0) | ~spl213), inference(resolution, [status(thm)], [p14043, c9])).
% 77.87/15.49  cnf(p14080, plain, (distinct_lines(sk3,sk3) | distinct_lines(sk2,sk0) | ~spl172 | ~spl213), inference(resolution, [status(thm)], [p14053, p2482])).
% 77.87/15.49  cnf(ssp707, plain, (~spl172 | ~spl213 | spl85 | spl112), inference(avatar_split_clause, [status(thm)], [p14080, sdef85, sdef112])).
% 77.87/15.49  cnf(p1026, plain, convergent_lines(X0,X1) | convergent_lines(sk1,X1) | ~apart_point_and_line(intersection_point(X0,sk0),X0), inference(resolution, [status(thm)], [p140, c8])).
% 77.87/15.49  cnf(p14144, plain, (convergent_lines(sk3,X0) | convergent_lines(sk1,X0) | distinct_points(intersection_point(sk3,sk0),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p1026, p275])).
% 77.87/15.49  cnf(ssp708, plain, (~spl1 | spl25 | spl217), inference(avatar_split_clause, [status(thm)], [p14144, sdef25, sdef217])).
% 77.87/15.49  cnf(p14145, plain, (convergent_lines(sk3,X0) | convergent_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(sk3,sk0),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p1026, p276])).
% 77.87/15.49  cnf(ssp709, plain, (~spl1 | spl25 | spl233), inference(avatar_split_clause, [status(thm)], [p14145, sdef25, sdef233])).
% 77.87/15.49  cnf(p14148, plain, (convergent_lines(sk2,X0) | convergent_lines(sk1,X0) | distinct_lines(sk1,sk2) | ~spl113), inference(resolution, [status(thm)], [p1026, p1657])).
% 77.87/15.49  cnf(ssp710, plain, (~spl113 | spl10 | spl107), inference(avatar_split_clause, [status(thm)], [p14148, sdef10, sdef107])).
% 77.87/15.49  cnf(p1027, plain, convergent_lines(X0,sk0) | convergent_lines(sk1,X1) | ~apart_point_and_line(intersection_point(X0,X1),X0), inference(resolution, [status(thm)], [p140, c8])).
% 77.87/15.49  cnf(p14197, plain, (convergent_lines(sk3,sk0) | convergent_lines(sk1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(sk3,X0),X1) | ~spl1), inference(resolution, [status(thm)], [p1027, p56])).
% 77.87/15.49  cnf(ssp711, plain, (~spl1 | spl29 | spl120), inference(avatar_split_clause, [status(thm)], [p14197, sdef29, sdef120])).
% 77.87/15.49  cnf(p14198, plain, (convergent_lines(sk3,sk0) | convergent_lines(sk1,X0) | distinct_points(intersection_point(sk3,X0),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p1027, p275])).
% 77.87/15.49  cnf(ssp712, plain, (~spl1 | spl29 | spl210), inference(avatar_split_clause, [status(thm)], [p14198, sdef29, sdef210])).
% 77.87/15.49  cnf(p1029, plain, convergent_lines(X0,X1) | convergent_lines(sk1,X1) | ~apart_point_and_line(intersection_point(X0,sk0),sk0), inference(resolution, [status(thm)], [p140, c9])).
% 77.87/15.49  cnf(p14277, plain, (convergent_lines(sk3,X0) | convergent_lines(sk1,X0) | distinct_lines(sk2,sk0) | ~spl172), inference(resolution, [status(thm)], [p1029, p2482])).
% 77.87/15.49  cnf(ssp713, plain, (~spl172 | spl25 | spl112), inference(avatar_split_clause, [status(thm)], [p14277, sdef25, sdef112])).
% 77.87/15.49  cnf(p3375, plain, (convergent_lines(sk1,X0) | convergent_lines(sk2,X1) | convergent_lines(X0,X1) | ~spl13), inference(resolution, [status(thm)], [p255, c5])).
% 77.87/15.49  cnf(p14591, plain, (convergent_lines(sk1,X0) | convergent_lines(X0,sk2) | ~spl13), inference(resolution, [status(thm)], [p3375, c2])).
% 77.87/15.49  cnf(p14605, plain, (convergent_lines(sk1,X0) | ~apart_point_and_line(intersection_point(X0,sk2),X0) | ~spl13), inference(resolution, [status(thm)], [p14591, c8])).
% 77.87/15.49  cnf(p14621, plain, (convergent_lines(sk1,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | ~spl1 | ~spl13), inference(resolution, [status(thm)], [p14605, p56])).
% 77.87/15.49  cnf(ssp714, plain, (~spl1 | ~spl13 | spl4 | spl28), inference(avatar_split_clause, [status(thm)], [p14621, sdef4, sdef28])).
% 77.87/15.49  cnf(p136, plain, convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | distinct_lines(X1,X2) | convergent_lines(X0,X2), inference(resolution, [status(thm)], [p47, c13])).
% 77.87/15.49  cnf(p1044, plain, convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | distinct_lines(X1,X2) | ~apart_point_and_line(intersection_point(X0,X2),X2), inference(resolution, [status(thm)], [p136, c9])).
% 77.87/15.49  cnf(p14784, plain, (convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | distinct_lines(X1,sk3) | distinct_points(intersection_point(X0,sk3),X2) | distinct_points(intersection_point(sk0,sk1),X3) | distinct_points(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p1044, p275])).
% 77.87/15.49  cnf(ssp715, plain, (~spl1 | spl134 | spl216), inference(avatar_split_clause, [status(thm)], [p14784, sdef134, sdef216])).
% 77.87/15.49  cnf(p145, plain, convergent_lines(sk1,X0) | convergent_lines(sk0,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p40, c2])).
% 77.87/15.49  cnf(p1065, plain, convergent_lines(sk0,X0) | convergent_lines(X1,X0) | ~apart_point_and_line(intersection_point(sk1,X1),sk1), inference(resolution, [status(thm)], [p145, c8])).
% 77.87/15.49  cnf(p15207, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X0) | distinct_lines(sk2,sk1) | ~spl170), inference(resolution, [status(thm)], [p1065, p2469])).
% 77.87/15.49  cnf(ssp716, plain, (~spl170 | spl111 | spl213), inference(avatar_split_clause, [status(thm)], [p15207, sdef111, sdef213])).
% 77.87/15.49  cnf(p370, plain, distinct_lines(X0,X1) | convergent_lines(sk2,X0) | ~apart_point_and_line(intersection_point(sk3,X1),X1), inference(resolution, [status(thm)], [p68, c9])).
% 77.87/15.49  cnf(p3698, plain, (distinct_lines(sk2,sk1) | distinct_lines(X0,sk1) | convergent_lines(sk2,X0) | ~spl168), inference(resolution, [status(thm)], [p2461, p370])).
% 77.87/15.49  cnf(p15243, plain, (distinct_lines(sk2,sk1) | convergent_lines(sk2,sk2) | ~spl168), inference(factoring, [status(thm)], [p3698])).
% 77.87/15.49  cnf(ssp717, plain, (~spl168 | spl5 | spl111), inference(avatar_split_clause, [status(thm)], [p15243, sdef5, sdef111])).
% 77.87/15.49  cnf(p1066, plain, convergent_lines(sk1,X0) | convergent_lines(X0,X1) | ~apart_point_and_line(intersection_point(sk0,X1),sk0), inference(resolution, [status(thm)], [p145, c8])).
% 77.87/15.49  cnf(p15248, plain, (convergent_lines(sk1,X0) | convergent_lines(X0,sk3) | distinct_lines(sk2,sk0) | ~spl166), inference(resolution, [status(thm)], [p1066, p2454])).
% 77.87/15.49  cnf(ssp718, plain, (~spl166 | spl112 | spl132), inference(avatar_split_clause, [status(thm)], [p15248, sdef112, sdef132])).
% 77.87/15.49  cnf(p1067, plain, convergent_lines(sk1,X0) | convergent_lines(sk0,X1) | ~apart_point_and_line(intersection_point(X0,X1),X0), inference(resolution, [status(thm)], [p145, c8])).
% 77.87/15.49  cnf(p15277, plain, (convergent_lines(sk1,sk3) | convergent_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(sk3,X0),X1) | ~spl1), inference(resolution, [status(thm)], [p1067, p56])).
% 77.87/15.49  cnf(ssp719, plain, (~spl1 | spl28 | spl78), inference(avatar_split_clause, [status(thm)], [p15277, sdef28, sdef78])).
% 77.87/15.49  cnf(p15278, plain, (convergent_lines(sk1,sk3) | convergent_lines(sk0,X0) | distinct_points(intersection_point(sk3,X0),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p1067, p275])).
% 77.87/15.49  cnf(ssp720, plain, (~spl1 | spl28 | spl214), inference(avatar_split_clause, [status(thm)], [p15278, sdef28, sdef214])).
% 77.87/15.49  cnf(p1068, plain, convergent_lines(sk0,X0) | convergent_lines(X1,X0) | ~apart_point_and_line(intersection_point(sk1,X1),X1), inference(resolution, [status(thm)], [p145, c9])).
% 77.87/15.49  cnf(p15338, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(sk1,sk3),X1) | ~spl1), inference(resolution, [status(thm)], [p1068, p56])).
% 77.87/15.49  cnf(ssp721, plain, (~spl1 | spl19 | spl213), inference(avatar_split_clause, [status(thm)], [p15338, sdef19, sdef213])).
% 77.87/15.49  cnf(p15339, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X0) | distinct_points(intersection_point(sk1,sk3),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p1068, p275])).
% 77.87/15.49  cnf(ssp722, plain, (~spl1 | spl207 | spl213), inference(avatar_split_clause, [status(thm)], [p15339, sdef207, sdef213])).
% 77.87/15.49  cnf(p15340, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(sk1,sk3),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p1068, p276])).
% 77.87/15.49  cnf(ssp723, plain, (~spl1 | spl213 | spl225), inference(avatar_split_clause, [status(thm)], [p15340, sdef213, sdef225])).
% 77.87/15.49  cnf(p1069, plain, convergent_lines(sk1,X0) | convergent_lines(X0,X1) | ~apart_point_and_line(intersection_point(sk0,X1),X1), inference(resolution, [status(thm)], [p145, c9])).
% 77.87/15.49  cnf(p15383, plain, (convergent_lines(sk1,X0) | convergent_lines(X0,sk3) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(sk0,sk3),X1) | ~spl1), inference(resolution, [status(thm)], [p1069, p56])).
% 77.87/15.49  cnf(ssp724, plain, (~spl1 | spl22 | spl132), inference(avatar_split_clause, [status(thm)], [p15383, sdef22, sdef132])).
% 77.87/15.49  cnf(p15384, plain, (convergent_lines(sk1,X0) | convergent_lines(X0,sk3) | distinct_points(intersection_point(sk0,sk3),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p1069, p275])).
% 77.87/15.49  cnf(ssp725, plain, (~spl1 | spl132 | spl209), inference(avatar_split_clause, [status(thm)], [p15384, sdef132, sdef209])).
% 77.87/15.49  cnf(p15385, plain, (convergent_lines(sk1,X0) | convergent_lines(X0,sk3) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(sk0,sk3),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p1069, p276])).
% 77.87/15.49  cnf(ssp726, plain, (~spl1 | spl132 | spl227), inference(avatar_split_clause, [status(thm)], [p15385, sdef132, sdef227])).
% 77.87/15.49  cnf(p1070, plain, convergent_lines(sk1,X0) | convergent_lines(sk0,X1) | ~apart_point_and_line(intersection_point(X0,X1),X1), inference(resolution, [status(thm)], [p145, c9])).
% 77.87/15.49  cnf(p15431, plain, (convergent_lines(sk1,X0) | convergent_lines(sk0,sk3) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(X0,sk3),X1) | ~spl1), inference(resolution, [status(thm)], [p1070, p56])).
% 77.87/15.49  cnf(ssp727, plain, (~spl1 | spl20 | spl133), inference(avatar_split_clause, [status(thm)], [p15431, sdef20, sdef133])).
% 77.87/15.49  cnf(p15432, plain, (convergent_lines(sk1,X0) | convergent_lines(sk0,sk3) | distinct_points(intersection_point(X0,sk3),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p1070, p275])).
% 77.87/15.49  cnf(ssp728, plain, (~spl1 | spl20 | spl224), inference(avatar_split_clause, [status(thm)], [p15432, sdef20, sdef224])).
% 77.87/15.49  cnf(p3855, plain, (convergent_lines(X0,sk2) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl3), inference(resolution, [status(thm)], [p3838, c5])).
% 77.87/15.49  cnf(p15450, plain, (convergent_lines(X0,sk2) | convergent_lines(X0,sk0) | ~spl3), inference(resolution, [status(thm)], [p3855, c2])).
% 77.87/15.49  cnf(p15463, plain, (convergent_lines(X0,sk0) | ~apart_point_and_line(intersection_point(X0,sk2),X0) | ~spl3), inference(resolution, [status(thm)], [p15450, c8])).
% 77.87/15.49  cnf(p15495, plain, (convergent_lines(sk3,sk0) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk2),X0) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p15463, p56])).
% 77.87/15.49  cnf(ssp729, plain, (~spl1 | ~spl3 | spl4 | spl29), inference(avatar_split_clause, [status(thm)], [p15495, sdef4, sdef29])).
% 77.87/15.49  cnf(p3879, plain, (distinct_lines(sk2,sk0) | distinct_lines(X0,sk0) | convergent_lines(sk2,X0) | ~spl172), inference(resolution, [status(thm)], [p2482, p370])).
% 77.87/15.49  cnf(p15593, plain, (distinct_lines(sk2,sk0) | convergent_lines(sk2,sk2) | ~spl172), inference(factoring, [status(thm)], [p3879])).
% 77.87/15.49  cnf(ssp730, plain, (~spl172 | spl5 | spl112), inference(avatar_split_clause, [status(thm)], [p15593, sdef5, sdef112])).
% 77.87/15.49  cnf(p1076, plain, distinct_lines(sk0,X0) | convergent_lines(sk1,X1) | ~apart_point_and_line(intersection_point(X0,X1),X0), inference(resolution, [status(thm)], [p164, c8])).
% 77.87/15.49  cnf(p15611, plain, (distinct_lines(sk0,sk0) | convergent_lines(sk1,sk3) | distinct_lines(sk2,sk0) | ~spl166), inference(resolution, [status(thm)], [p1076, p2454])).
% 77.87/15.49  cnf(ssp731, plain, (~spl166 | spl28 | spl112 | spl146), inference(avatar_split_clause, [status(thm)], [p15611, sdef28, sdef112, sdef146])).
% 77.87/15.49  cnf(p1093, plain, (distinct_lines(X0,X1) | convergent_lines(sk1,X1) | apart_point_and_line(X2,sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X2,sk0) | apart_point_and_line(X2,X0) | ~spl73), inference(avatar_component_clause, [status(thm)], [sdef73])).
% 77.87/15.49  cnf(p16091, plain, (distinct_lines(sk2,X0) | convergent_lines(sk1,X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | ~spl73), inference(factoring, [status(thm)], [p1093])).
% 77.87/15.49  cnf(ssp732, plain, (~spl73 | spl0 | spl17 | spl206), inference(avatar_split_clause, [status(thm)], [p16091, sdef0, sdef17, sdef206])).
% 77.87/15.49  cnf(p4108, plain, (convergent_lines(sk0,X0) | distinct_lines(X0,X1) | convergent_lines(sk3,X1) | ~spl246), inference(resolution, [status(thm)], [p4090, c13])).
% 77.87/15.49  cnf(p16094, plain, (distinct_lines(sk0,X0) | convergent_lines(sk3,X0) | ~spl246), inference(resolution, [status(thm)], [p4108, c2])).
% 77.87/15.49  cnf(p16108, plain, (distinct_lines(sk0,X0) | ~apart_point_and_line(intersection_point(sk3,X0),X0) | ~spl246), inference(resolution, [status(thm)], [p16094, c9])).
% 77.87/15.49  cnf(p16130, plain, (distinct_lines(sk0,sk0) | distinct_lines(sk2,sk0) | ~spl172 | ~spl246), inference(resolution, [status(thm)], [p16108, p2482])).
% 77.87/15.49  cnf(ssp733, plain, (~spl172 | ~spl246 | spl112 | spl146), inference(avatar_split_clause, [status(thm)], [p16130, sdef112, sdef146])).
% 77.87/15.49  cnf(p4091, plain, (distinct_lines(sk3,X0) | convergent_lines(sk0,X0) | ~spl246), inference(resolution, [status(thm)], [p4085, c13])).
% 77.87/15.49  cnf(p4117, plain, (distinct_lines(sk3,X0) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl246), inference(resolution, [status(thm)], [p4091, c5])).
% 77.87/15.49  cnf(p16145, plain, (distinct_lines(sk3,X0) | convergent_lines(X0,sk0) | ~spl246), inference(resolution, [status(thm)], [p4117, c2])).
% 77.87/15.49  cnf(p16173, plain, (distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(X0,sk0),X0) | ~spl246), inference(resolution, [status(thm)], [p16145, c8])).
% 77.87/15.49  cnf(p16177, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk3,sk0),X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X0,X1) | ~spl1 | ~spl246), inference(resolution, [status(thm)], [p16173, p275])).
% 77.87/15.49  cnf(ssp734, plain, (~spl1 | ~spl246 | spl85 | spl217), inference(avatar_split_clause, [status(thm)], [p16177, sdef85, sdef217])).
% 77.87/15.49  cnf(p16178, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk0),X1) | distinct_points(X0,X1) | ~spl1 | ~spl246), inference(resolution, [status(thm)], [p16173, p276])).
% 77.87/15.49  cnf(ssp735, plain, (~spl1 | ~spl246 | spl85 | spl233), inference(avatar_split_clause, [status(thm)], [p16178, sdef85, sdef233])).
% 77.87/15.49  cnf(p16174, plain, (distinct_lines(sk3,X0) | ~apart_point_and_line(intersection_point(X0,sk0),sk0) | ~spl246), inference(resolution, [status(thm)], [p16145, c9])).
% 77.87/15.49  cnf(p16188, plain, (distinct_lines(sk3,sk3) | distinct_lines(sk2,sk0) | ~spl172 | ~spl246), inference(resolution, [status(thm)], [p16174, p2482])).
% 77.87/15.49  cnf(ssp736, plain, (~spl172 | ~spl246 | spl85 | spl112), inference(avatar_split_clause, [status(thm)], [p16188, sdef85, sdef112])).
% 77.87/15.49  cnf(p166, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(X1,sk1), inference(resolution, [status(thm)], [p41, c2])).
% 77.87/15.49  cnf(p1097, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | ~apart_point_and_line(intersection_point(X1,sk1),X1), inference(resolution, [status(thm)], [p166, c8])).
% 77.87/15.49  cnf(p16200, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk3) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(sk3,sk1),X1) | ~spl1), inference(resolution, [status(thm)], [p1097, p56])).
% 77.87/15.49  cnf(ssp737, plain, (~spl1 | spl21 | spl26), inference(avatar_split_clause, [status(thm)], [p16200, sdef21, sdef26])).
% 77.87/15.49  cnf(p16201, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk3) | distinct_points(intersection_point(sk3,sk1),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p1097, p275])).
% 77.87/15.49  cnf(ssp738, plain, (~spl1 | spl26 | spl208), inference(avatar_split_clause, [status(thm)], [p16201, sdef26, sdef208])).
% 77.87/15.49  cnf(p16202, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk3) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(sk3,sk1),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p1097, p276])).
% 77.87/15.49  cnf(ssp739, plain, (~spl1 | spl26 | spl226), inference(avatar_split_clause, [status(thm)], [p16202, sdef26, sdef226])).
% 77.87/15.49  cnf(p1099, plain, convergent_lines(sk0,X0) | convergent_lines(X1,sk1) | ~apart_point_and_line(intersection_point(X0,X1),X1), inference(resolution, [status(thm)], [p166, c9])).
% 77.87/15.49  cnf(p16286, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,sk1) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(intersection_point(X0,sk3),X1) | ~spl1), inference(resolution, [status(thm)], [p1099, p56])).
% 77.87/15.49  cnf(ssp740, plain, (~spl1 | spl23 | spl123), inference(avatar_split_clause, [status(thm)], [p16286, sdef23, sdef123])).
% 77.87/15.49  cnf(p16287, plain, (convergent_lines(sk0,X0) | convergent_lines(sk3,sk1) | distinct_points(intersection_point(X0,sk3),X1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p1099, p275])).
% 77.87/15.49  cnf(ssp741, plain, (~spl1 | spl23 | spl211), inference(avatar_split_clause, [status(thm)], [p16287, sdef23, sdef211])).
% 77.87/15.49  cnf(p1100, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | ~apart_point_and_line(intersection_point(X1,sk1),sk1), inference(resolution, [status(thm)], [p166, c9])).
% 77.87/15.49  cnf(p16335, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk3) | distinct_lines(sk2,sk1) | ~spl168), inference(resolution, [status(thm)], [p1100, p2461])).
% 77.87/15.49  cnf(ssp742, plain, (~spl168 | spl26 | spl111), inference(avatar_split_clause, [status(thm)], [p16335, sdef26, sdef111])).
% 77.87/15.49  cnf(p16554, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,sk1),X0) | convergent_lines(sk0,X1) | convergent_lines(sk3,X1) | ~spl1), inference(resolution, [status(thm)], [p56, p126])).
% 77.87/15.49  cnf(ssp743, plain, (~spl1 | spl21 | spl213), inference(avatar_split_clause, [status(thm)], [p16554, sdef21, sdef213])).
% 77.87/15.49  cnf(p16558, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk3),X0) | convergent_lines(X1,sk1) | convergent_lines(X1,sk3) | ~spl1), inference(resolution, [status(thm)], [p56, p130])).
% 77.87/15.49  cnf(ssp744, plain, (~spl1 | spl22 | spl215), inference(avatar_split_clause, [status(thm)], [p16558, sdef22, sdef215])).
% 77.87/15.49  cnf(p16561, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk1,sk3),X0) | convergent_lines(sk3,sk0) | ~spl1), inference(resolution, [status(thm)], [p56, p1050])).
% 77.87/15.49  cnf(ssp745, plain, (~spl1 | spl19 | spl29), inference(avatar_split_clause, [status(thm)], [p16561, sdef19, sdef29])).
% 77.87/15.49  cnf(p16562, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk3,X1),X0) | convergent_lines(sk1,X1) | convergent_lines(sk0,X2) | convergent_lines(sk3,X2) | ~spl1), inference(resolution, [status(thm)], [p56, p147])).
% 77.87/15.49  cnf(ssp746, plain, (~spl1 | spl24 | spl213), inference(avatar_split_clause, [status(thm)], [p16562, sdef24, sdef213])).
% 77.87/15.49  cnf(p59, plain, (apart_point_and_line(X0,sk3) | ~distinct_lines(X1,X2) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk1),X2) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,X2) | ~spl1), inference(resolution, [status(thm)], [p49, c10])).
% 77.87/15.49  cnf(p16581, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk0) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p59, p432])).
% 77.87/15.49  cnf(ssp747, plain, (~spl1 | ~spl3 | spl0 | spl17 | spl38), inference(avatar_split_clause, [status(thm)], [p16581, sdef0, sdef17, sdef38])).
% 77.87/15.49  cnf(p384, plain, (distinct_lines(sk2,X0) | convergent_lines(sk1,X0) | ~spl10), inference(resolution, [status(thm)], [p377, c13])).
% 77.87/15.49  cnf(p599, plain, (distinct_lines(sk2,sk1) | ~spl10), inference(resolution, [status(thm)], [p384, c2])).
% 77.87/15.49  cnf(p16585, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | ~spl1 | ~spl10), inference(resolution, [status(thm)], [p59, p599])).
% 77.87/15.49  cnf(ssp748, plain, (~spl1 | ~spl10 | spl0 | spl16 | spl40), inference(avatar_split_clause, [status(thm)], [p16585, sdef0, sdef16, sdef40])).
% 77.87/15.49  cnf(p608, plain, (distinct_lines(sk2,sk0) | ~spl11), inference(resolution, [status(thm)], [p413, c2])).
% 77.87/15.49  cnf(p16586, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk0) | ~spl1 | ~spl11), inference(resolution, [status(thm)], [p59, p608])).
% 77.87/15.49  cnf(ssp749, plain, (~spl1 | ~spl11 | spl0 | spl17 | spl38), inference(avatar_split_clause, [status(thm)], [p16586, sdef0, sdef17, sdef38])).
% 77.87/15.49  cnf(p905, plain, (distinct_lines(sk2,sk0) | ~spl64), inference(resolution, [status(thm)], [p902, c2])).
% 77.87/15.49  cnf(p16598, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk0) | ~spl1 | ~spl64), inference(resolution, [status(thm)], [p59, p905])).
% 77.87/15.49  cnf(ssp750, plain, (~spl1 | ~spl64 | spl0 | spl17 | spl38), inference(avatar_split_clause, [status(thm)], [p16598, sdef0, sdef17, sdef38])).
% 77.87/15.49  cnf(p966, plain, (distinct_lines(sk1,sk2) | ~spl67), inference(resolution, [status(thm)], [p934, c2])).
% 77.87/15.49  cnf(p16599, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk2) | ~spl1 | ~spl67), inference(resolution, [status(thm)], [p59, p966])).
% 77.87/15.49  cnf(ssp751, plain, (~spl1 | ~spl67 | spl0 | spl16 | spl40), inference(avatar_split_clause, [status(thm)], [p16599, sdef0, sdef16, sdef40])).
% 77.87/15.49  cnf(p1421, plain, (distinct_lines(sk1,sk2) | ~spl107), inference(avatar_component_clause, [status(thm)], [sdef107])).
% 77.87/15.49  cnf(p16610, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk2) | ~spl1 | ~spl107), inference(resolution, [status(thm)], [p59, p1421])).
% 77.87/15.49  cnf(ssp752, plain, (~spl1 | ~spl107 | spl0 | spl16 | spl40), inference(avatar_split_clause, [status(thm)], [p16610, sdef0, sdef16, sdef40])).
% 77.87/15.49  cnf(p1429, plain, (distinct_lines(sk0,sk2) | ~spl109), inference(avatar_component_clause, [status(thm)], [sdef109])).
% 77.87/15.49  cnf(p16611, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | ~spl1 | ~spl109), inference(resolution, [status(thm)], [p59, p1429])).
% 77.87/15.49  cnf(ssp753, plain, (~spl1 | ~spl109 | spl0 | spl17 | spl38), inference(avatar_split_clause, [status(thm)], [p16611, sdef0, sdef17, sdef38])).
% 77.87/15.49  cnf(p1436, plain, (distinct_lines(sk2,sk1) | ~spl111), inference(avatar_component_clause, [status(thm)], [sdef111])).
% 77.87/15.49  cnf(p16612, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | ~spl1 | ~spl111), inference(resolution, [status(thm)], [p59, p1436])).
% 77.87/15.49  cnf(ssp754, plain, (~spl1 | ~spl111 | spl0 | spl16 | spl40), inference(avatar_split_clause, [status(thm)], [p16612, sdef0, sdef16, sdef40])).
% 77.87/15.49  cnf(p1441, plain, (distinct_lines(sk2,sk0) | ~spl112), inference(avatar_component_clause, [status(thm)], [sdef112])).
% 77.87/15.49  cnf(p16613, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk0) | ~spl1 | ~spl112), inference(resolution, [status(thm)], [p59, p1441])).
% 77.87/15.49  cnf(ssp755, plain, (~spl1 | ~spl112 | spl0 | spl17 | spl38), inference(avatar_split_clause, [status(thm)], [p16613, sdef0, sdef17, sdef38])).
% 77.87/15.49  cnf(p1631, plain, (distinct_lines(sk1,sk2) | ~spl105), inference(resolution, [status(thm)], [p1415, p78])).
% 77.87/15.49  cnf(p16617, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk2) | ~spl1 | ~spl105), inference(resolution, [status(thm)], [p59, p1631])).
% 77.87/15.49  cnf(ssp756, plain, (~spl1 | ~spl105 | spl0 | spl16 | spl40), inference(avatar_split_clause, [status(thm)], [p16617, sdef0, sdef16, sdef40])).
% 77.87/15.49  cnf(p262, plain, (distinct_lines(sk0,X0) | convergent_lines(sk2,X0) | ~spl14), inference(resolution, [status(thm)], [p243, c13])).
% 77.87/15.49  cnf(p1716, plain, (distinct_lines(sk0,sk2) | ~spl14), inference(resolution, [status(thm)], [p262, c2])).
% 77.87/15.49  cnf(p16618, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | ~spl1 | ~spl14), inference(resolution, [status(thm)], [p59, p1716])).
% 77.87/15.49  cnf(ssp757, plain, (~spl1 | ~spl14 | spl0 | spl17 | spl38), inference(avatar_split_clause, [status(thm)], [p16618, sdef0, sdef17, sdef38])).
% 77.87/15.49  cnf(p1963, plain, (distinct_lines(sk0,sk2) | ~spl142), inference(resolution, [status(thm)], [p1961, c2])).
% 77.87/15.49  cnf(p16627, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | ~spl1 | ~spl142), inference(resolution, [status(thm)], [p59, p1963])).
% 77.87/15.49  cnf(ssp758, plain, (~spl1 | ~spl142 | spl0 | spl17 | spl38), inference(avatar_split_clause, [status(thm)], [p16627, sdef0, sdef17, sdef38])).
% 77.87/15.49  cnf(p2650, plain, (distinct_lines(sk2,sk1) | ~spl206), inference(resolution, [status(thm)], [p2224, c2])).
% 77.87/15.49  cnf(p16628, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | ~spl1 | ~spl206), inference(resolution, [status(thm)], [p59, p2650])).
% 77.87/15.49  cnf(ssp759, plain, (~spl1 | ~spl206 | spl0 | spl16 | spl40), inference(avatar_split_clause, [status(thm)], [p16628, sdef0, sdef16, sdef40])).
% 77.87/15.49  cnf(p2587, plain, (distinct_lines(sk2,X0) | convergent_lines(sk1,X0) | ~spl203), inference(resolution, [status(thm)], [p2575, c13])).
% 77.87/15.49  cnf(p2838, plain, (distinct_lines(sk2,sk1) | ~spl203), inference(resolution, [status(thm)], [p2587, c2])).
% 77.87/15.49  cnf(p16629, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | ~spl1 | ~spl203), inference(resolution, [status(thm)], [p59, p2838])).
% 77.87/15.49  cnf(ssp760, plain, (~spl1 | ~spl203 | spl0 | spl16 | spl40), inference(avatar_split_clause, [status(thm)], [p16629, sdef0, sdef16, sdef40])).
% 77.87/15.49  cnf(p256, plain, (distinct_lines(sk2,X0) | convergent_lines(sk1,X0) | ~spl13), inference(resolution, [status(thm)], [p241, c13])).
% 77.87/15.49  cnf(p3377, plain, (distinct_lines(sk2,sk1) | ~spl13), inference(resolution, [status(thm)], [p256, c2])).
% 77.87/15.49  cnf(p16639, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | ~spl1 | ~spl13), inference(resolution, [status(thm)], [p59, p3377])).
% 77.87/15.49  cnf(ssp761, plain, (~spl1 | ~spl13 | spl0 | spl16 | spl40), inference(avatar_split_clause, [status(thm)], [p16639, sdef0, sdef16, sdef40])).
% 77.87/15.49  cnf(p252, plain, (distinct_lines(sk1,X0) | convergent_lines(sk2,X0) | ~spl8), inference(resolution, [status(thm)], [p229, c13])).
% 77.87/15.49  cnf(p8142, plain, (distinct_lines(sk1,sk2) | ~spl8), inference(resolution, [status(thm)], [p252, c2])).
% 77.87/15.49  cnf(p16713, plain, (apart_point_and_line(X0,sk3) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X0,sk1) | apart_point_and_line(X0,sk2) | ~spl1 | ~spl8), inference(resolution, [status(thm)], [p59, p8142])).
% 77.87/15.49  cnf(ssp762, plain, (~spl1 | ~spl8 | spl0 | spl16 | spl40), inference(avatar_split_clause, [status(thm)], [p16713, sdef0, sdef16, sdef40])).
% 77.87/15.49  cnf(p117, plain, (distinct_lines(sk3,X0) | distinct_points(intersection_point(sk0,sk1),X1) | apart_point_and_line(X1,X0) | ~spl1), inference(resolution, [status(thm)], [p51, c11])).
% 77.87/15.49  cnf(p16875, plain, (distinct_lines(sk3,sk3) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk3,sk2)) | ~spl1), inference(resolution, [status(thm)], [p117, p844])).
% 77.87/15.49  cnf(ssp763, plain, (~spl1 | spl47 | spl85), inference(avatar_split_clause, [status(thm)], [p16875, sdef47, sdef85])).
% 77.87/15.49  cnf(sat_ref, plain, $false, inference(avatar_sat_refutation, [status(thm)], [ssp0, ssp1, ssp2, ssp3, ssp4, ssp5, ssp6, ssp7, ssp8, ssp9, ssp10, ssp11, ssp12, ssp13, ssp14, ssp15, ssp16, ssp17, ssp18, ssp19, ssp20, ssp21, ssp22, ssp23, ssp24, ssp25, ssp26, ssp27, ssp28, ssp29, ssp30, ssp31, ssp32, ssp33, ssp34, ssp35, ssp36, ssp37, ssp38, ssp39, ssp40, ssp41, ssp42, ssp43, ssp44, ssp45, ssp46, ssp47, ssp48, ssp49, ssp50, ssp51, ssp52, ssp53, ssp54, ssp55, ssp56, ssp57, ssp58, ssp59, ssp60, ssp61, ssp62, ssp63, ssp64, ssp65, ssp66, ssp67, ssp68, ssp69, ssp70, ssp71, ssp72, ssp73, ssp74, ssp75, ssp76, ssp77, ssp78, ssp79, ssp80, ssp81, ssp82, ssp83, ssp84, ssp85, ssp86, ssp87, ssp88, ssp89, ssp90, ssp91, ssp92, ssp93, ssp94, ssp95, ssp96, ssp97, ssp98, ssp99, ssp100, ssp101, ssp102, ssp103, ssp104, ssp105, ssp106, ssp107, ssp108, ssp109, ssp110, ssp111, ssp112, ssp113, ssp114, ssp115, ssp116, ssp117, ssp118, ssp119, ssp120, ssp121, ssp122, ssp123, ssp124, ssp125, ssp126, ssp127, ssp128, ssp129, ssp130, ssp131, ssp132, ssp133, ssp134, ssp135, ssp136, ssp137, ssp138, ssp139, ssp140, ssp141, ssp142, ssp143, ssp144, ssp145, ssp146, ssp147, ssp148, ssp149, ssp150, ssp151, ssp152, ssp153, ssp154, ssp155, ssp156, ssp157, ssp158, ssp159, ssp160, ssp161, ssp162, ssp163, ssp164, ssp165, ssp166, ssp167, ssp168, ssp169, ssp170, ssp171, ssp172, ssp173, ssp174, ssp175, ssp176, ssp177, ssp178, ssp179, ssp180, ssp181, ssp182, ssp183, ssp184, ssp185, ssp186, ssp187, ssp188, ssp189, ssp190, ssp191, ssp192, ssp193, ssp194, ssp195, ssp196, ssp197, ssp198, ssp199, ssp200, ssp201, ssp202, ssp203, ssp204, ssp205, ssp206, ssp207, ssp208, ssp209, ssp210, ssp211, ssp212, ssp213, ssp214, ssp215, ssp216, ssp217, ssp218, ssp219, ssp220, ssp221, ssp222, ssp223, ssp224, ssp225, ssp226, ssp227, ssp228, ssp229, ssp230, ssp231, ssp232, ssp233, ssp234, ssp235, ssp236, ssp237, ssp238, ssp239, ssp240, ssp241, ssp242, ssp243, ssp244, ssp245, ssp246, ssp247, ssp248, ssp249, ssp250, ssp251, ssp252, ssp253, ssp254, ssp255, ssp256, ssp257, ssp258, ssp259, ssp260, ssp261, ssp262, ssp263, ssp264, ssp265, ssp266, ssp267, ssp268, ssp269, ssp270, ssp271, ssp272, ssp273, ssp274, ssp275, ssp276, ssp277, ssp278, ssp279, ssp280, ssp281, ssp282, ssp283, ssp284, ssp285, ssp286, ssp287, ssp288, ssp289, ssp290, ssp291, ssp292, ssp293, ssp294, ssp295, ssp296, ssp297, ssp298, ssp299, ssp300, ssp301, ssp302, ssp303, ssp304, ssp305, ssp306, ssp307, ssp308, ssp309, ssp310, ssp311, ssp312, ssp313, ssp314, ssp315, ssp316, ssp317, ssp318, ssp319, ssp320, ssp321, ssp322, ssp323, ssp324, ssp325, ssp326, ssp327, ssp328, ssp329, ssp330, ssp331, ssp332, ssp333, ssp334, ssp335, ssp336, ssp337, ssp338, ssp339, ssp340, ssp341, ssp342, ssp343, ssp344, ssp345, ssp346, ssp347, ssp348, ssp349, ssp350, ssp351, ssp352, ssp353, ssp354, ssp355, ssp356, ssp357, ssp358, ssp359, ssp360, ssp361, ssp362, ssp363, ssp364, ssp365, ssp366, ssp367, ssp368, ssp369, ssp370, ssp371, ssp372, ssp373, ssp374, ssp375, ssp376, ssp377, ssp378, ssp379, ssp380, ssp381, ssp382, ssp383, ssp384, ssp385, ssp386, ssp387, ssp388, ssp389, ssp390, ssp391, ssp392, ssp393, ssp394, ssp395, ssp396, ssp397, ssp398, ssp399, ssp400, ssp401, ssp402, ssp403, ssp404, ssp405, ssp406, ssp407, ssp408, ssp409, ssp410, ssp411, ssp412, ssp413, ssp414, ssp415, ssp416, ssp417, ssp418, ssp419, ssp420, ssp421, ssp422, ssp423, ssp424, ssp425, ssp426, ssp427, ssp428, ssp429, ssp430, ssp431, ssp432, ssp433, ssp434, ssp435, ssp436, ssp437, ssp438, ssp439, ssp440, ssp441, ssp442, ssp443, ssp444, ssp445, ssp446, ssp447, ssp448, ssp449, ssp450, ssp451, ssp452, ssp453, ssp454, ssp455, ssp456, ssp457, ssp458, ssp459, ssp460, ssp461, ssp462, ssp463, ssp464, ssp465, ssp466, ssp467, ssp468, ssp469, ssp470, ssp471, ssp472, ssp473, ssp474, ssp475, ssp476, ssp477, ssp478, ssp479, ssp480, ssp481, ssp482, ssp483, ssp484, ssp485, ssp486, ssp487, ssp488, ssp489, ssp490, ssp491, ssp492, ssp493, ssp494, ssp495, ssp496, ssp497, ssp498, ssp499, ssp500, ssp501, ssp502, ssp503, ssp504, ssp505, ssp506, ssp507, ssp508, ssp509, ssp510, ssp511, ssp512, ssp513, ssp514, ssp515, ssp516, ssp517, ssp518, ssp519, ssp520, ssp521, ssp522, ssp523, ssp524, ssp525, ssp526, ssp527, ssp528, ssp529, ssp530, ssp531, ssp532, ssp533, ssp534, ssp535, ssp536, ssp537, ssp538, ssp539, ssp540, ssp541, ssp542, ssp543, ssp544, ssp545, ssp546, ssp547, ssp548, ssp549, ssp550, ssp551, ssp552, ssp553, ssp554, ssp555, ssp556, ssp557, ssp558, ssp559, ssp560, ssp561, ssp562, ssp563, ssp564, ssp565, ssp566, ssp567, ssp568, ssp569, ssp570, ssp571, ssp572, ssp573, ssp574, ssp575, ssp576, ssp577, ssp578, ssp579, ssp580, ssp581, ssp582, ssp583, ssp584, ssp585, ssp586, ssp587, ssp588, ssp589, ssp590, ssp591, ssp592, ssp593, ssp594, ssp595, ssp596, ssp597, ssp598, ssp599, ssp600, ssp601, ssp602, ssp603, ssp604, ssp605, ssp606, ssp607, ssp608, ssp609, ssp610, ssp611, ssp612, ssp613, ssp614, ssp615, ssp616, ssp617, ssp618, ssp619, ssp620, ssp621, ssp622, ssp623, ssp624, ssp625, ssp626, ssp627, ssp628, ssp629, ssp630, ssp631, ssp632, ssp633, ssp634, ssp635, ssp636, ssp637, ssp638, ssp639, ssp640, ssp641, ssp642, ssp643, ssp644, ssp645, ssp646, ssp647, ssp648, ssp649, ssp650, ssp651, ssp652, ssp653, ssp654, ssp655, ssp656, ssp657, ssp658, ssp659, ssp660, ssp661, ssp662, ssp663, ssp664, ssp665, ssp666, ssp667, ssp668, ssp669, ssp670, ssp671, ssp672, ssp673, ssp674, ssp675, ssp676, ssp677, ssp678, ssp679, ssp680, ssp681, ssp682, ssp683, ssp684, ssp685, ssp686, ssp687, ssp688, ssp689, ssp690, ssp691, ssp692, ssp693, ssp694, ssp695, ssp696, ssp697, ssp698, ssp699, ssp700, ssp701, ssp702, ssp703, ssp704, ssp705, ssp706, ssp707, ssp708, ssp709, ssp710, ssp711, ssp712, ssp713, ssp714, ssp715, ssp716, ssp717, ssp718, ssp719, ssp720, ssp721, ssp722, ssp723, ssp724, ssp725, ssp726, ssp727, ssp728, ssp729, ssp730, ssp731, ssp732, ssp733, ssp734, ssp735, ssp736, ssp737, ssp738, ssp739, ssp740, ssp741, ssp742, ssp743, ssp744, ssp745, ssp746, ssp747, ssp748, ssp749, ssp750, ssp751, ssp752, ssp753, ssp754, ssp755, ssp756, ssp757, ssp758, ssp759, ssp760, ssp761, ssp762, ssp763, sct0, sct1, sct2, sct3, sct4, sct5, sct6, sct7, sct8, sct9, sct10, sct11, sct12, sct13, sct14, sct15, sct16, sct17, sct18, sct19, sct20, sct21, sct22, sct23, sct24, sct25, sct26, sct27, sct28, sct29, sct30, sct31, sct32, sct33, sct34, sct35, sct36, sct37, sct38, sct39, sct40, sct41, sct42, sct43, sct44])).
% 77.87/15.49  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------