FindProof---0.1.THM-Prf.s

%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : GEO202+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n008.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 01:17:27 PM UTC 2026

% Result   : Theorem 29.43s 4.53s
% Output   : Proof 29.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO202+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.36  % Computer : n008.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Wed Sep 23 11:28:08 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 29.43/4.53  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.43/4.53  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.43/4.53  fof(sdef0, definition, (spl0 <=> (apart_point_and_line(sk0,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl0])], [avatar_definition])).
% 29.43/4.53  cnf(p791, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | ~spl0), inference(avatar_component_clause, [status(thm)], [sdef0])).
% 29.43/4.53  fof(f6, axiom, ! [X,Y,Z] : ( distinct_points(X,Y) => ( apart_point_and_line(Z,line_connecting(X,Y)) => ( distinct_points(Z,X) & distinct_points(Z,Y) ) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con1)).
% 29.43/4.53  fof(f6_nnf, plain, ! [X,Y,Z] : ((~(distinct_points(X,Y)) | (~(apart_point_and_line(Z,line_connecting(X,Y))) | (distinct_points(Z,X) & distinct_points(Z,Y))))), inference(nnf_transformation, [status(thm)], [f6])).
% 29.43/4.53  fof(f6_sk, plain, ! [X,Y,Z] : ((~(distinct_points(X,Y)) | (~(apart_point_and_line(Z,line_connecting(X,Y))) | (distinct_points(Z,X) & distinct_points(Z,Y))))), inference(skolemisation, [status(esa)], [f6_nnf])).
% 29.43/4.53  cnf(c6, plain, ~distinct_points(X0,X1) | ~apart_point_and_line(X2,line_connecting(X0,X1)) | distinct_points(X2,X0), inference(cnf_transformation, [status(esa)], [f6_sk])).
% 29.43/4.53  fof(f12, conjecture, ! [X,Y,Z] : ( ( distinct_points(X,Y) & distinct_points(X,Z) & convergent_lines(line_connecting(X,Y),line_connecting(X,Z)) ) => ~ distinct_points(intersection_point(line_connecting(X,Y),line_connecting(X,Z)),X) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 29.43/4.53  fof(f12_neg, negated_conjecture, ~(! [X,Y,Z] : ( ( distinct_points(X,Y) & distinct_points(X,Z) & convergent_lines(line_connecting(X,Y),line_connecting(X,Z)) ) => ~ distinct_points(intersection_point(line_connecting(X,Y),line_connecting(X,Z)),X) )), inference(negated_conjecture, [status(cth)], [f12])).
% 29.43/4.53  fof(f12_nnf, plain, ? [X,Y,Z] : ((((distinct_points(X,Y) & distinct_points(X,Z)) & convergent_lines(line_connecting(X,Y),line_connecting(X,Z))) & distinct_points(intersection_point(line_connecting(X,Y),line_connecting(X,Z)),X))), inference(nnf_transformation, [status(thm)], [f12_neg])).
% 29.43/4.53  fof(f12_sk, plain, (((distinct_points(sk0,sk1) & distinct_points(sk0,sk2)) & convergent_lines(line_connecting(sk0,sk1),line_connecting(sk0,sk2))) & distinct_points(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),sk0)), inference(skolemisation, [status(esa), new_symbols(skolem, [sk0,sk1,sk2])], [f12_nnf])).
% 29.43/4.53  cnf(c14, plain, distinct_points(sk0,sk1), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 29.43/4.53  cnf(p47, plain, ~apart_point_and_line(X0,line_connecting(sk0,sk1)) | distinct_points(X0,sk0), inference(resolution, [status(thm)], [c6, c14])).
% 29.43/4.53  cnf(p867, plain, (distinct_points(sk0,sk0) | ~spl0), inference(resolution, [status(thm)], [p791, p47])).
% 29.43/4.53  fof(f0, axiom, ! [X] : ~ distinct_points(X,X), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart1)).
% 29.43/4.53  fof(f0_nnf, plain, ! [X] : (~(distinct_points(X,X))), inference(nnf_transformation, [status(thm)], [f0])).
% 29.43/4.53  fof(f0_sk, plain, ! [X] : (~(distinct_points(X,X))), inference(skolemisation, [status(esa)], [f0_nnf])).
% 29.43/4.53  cnf(c0, plain, ~distinct_points(X0,X0), inference(cnf_transformation, [status(esa)], [f0_sk])).
% 29.43/4.53  cnf(p872, plain, ($false | ~spl0), inference(resolution, [status(thm)], [p867, c0])).
% 29.43/4.53  cnf(sct0, plain, (~spl0), inference(avatar_contradiction_clause, [status(thm)], [p872])).
% 29.43/4.53  fof(sdef1, definition, (spl1 <=> (apart_point_and_line(sk0,line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl1])], [avatar_definition])).
% 29.43/4.53  cnf(p792, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk2)) | ~spl1), inference(avatar_component_clause, [status(thm)], [sdef1])).
% 29.43/4.53  cnf(c15, plain, distinct_points(sk0,sk2), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 29.43/4.53  cnf(p48, plain, ~apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(X0,sk0), inference(resolution, [status(thm)], [c6, c15])).
% 29.43/4.53  cnf(p873, plain, (distinct_points(sk0,sk0) | ~spl1), inference(resolution, [status(thm)], [p792, p48])).
% 29.43/4.53  cnf(p878, plain, ($false | ~spl1), inference(resolution, [status(thm)], [p873, c0])).
% 29.43/4.53  cnf(sct1, plain, (~spl1), inference(avatar_contradiction_clause, [status(thm)], [p878])).
% 29.43/4.53  fof(sdef2, definition, (spl2 <=> (apart_point_and_line(sk1,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl2])], [avatar_definition])).
% 29.43/4.53  cnf(p793, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | ~spl2), inference(avatar_component_clause, [status(thm)], [sdef2])).
% 29.43/4.53  cnf(c7, plain, ~distinct_points(X0,X1) | ~apart_point_and_line(X2,line_connecting(X0,X1)) | distinct_points(X2,X1), inference(cnf_transformation, [status(esa)], [f6_sk])).
% 29.43/4.53  cnf(p72, plain, ~apart_point_and_line(X0,line_connecting(sk0,sk1)) | distinct_points(X0,sk1), inference(resolution, [status(thm)], [c7, c14])).
% 29.43/4.53  cnf(p954, plain, (distinct_points(sk1,sk1) | ~spl2), inference(resolution, [status(thm)], [p793, p72])).
% 29.43/4.53  cnf(p960, plain, ($false | ~spl2), inference(resolution, [status(thm)], [p954, c0])).
% 29.43/4.53  cnf(sct2, plain, (~spl2), inference(avatar_contradiction_clause, [status(thm)], [p960])).
% 29.43/4.53  fof(sdef37, definition, (spl37 <=> (apart_point_and_line(sk2,line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl37])], [avatar_definition])).
% 29.43/4.53  cnf(p881, plain, (apart_point_and_line(sk2,line_connecting(sk0,sk2)) | ~spl37), inference(avatar_component_clause, [status(thm)], [sdef37])).
% 29.43/4.53  cnf(p73, plain, ~apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(X0,sk2), inference(resolution, [status(thm)], [c7, c15])).
% 29.43/4.53  cnf(p1056, plain, (distinct_points(sk2,sk2) | ~spl37), inference(resolution, [status(thm)], [p881, p73])).
% 29.43/4.53  cnf(p1062, plain, ($false | ~spl37), inference(resolution, [status(thm)], [p1056, c0])).
% 29.43/4.53  cnf(sct3, plain, (~spl37), inference(avatar_contradiction_clause, [status(thm)], [p1062])).
% 29.43/4.53  fof(sdef104, definition, (spl104 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl104])], [avatar_definition])).
% 29.43/4.53  cnf(p1064, plain, (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk0,X0) | ~spl104), inference(avatar_component_clause, [status(thm)], [sdef104])).
% 29.43/4.53  cnf(p3166, plain, (apart_point_and_line(X0,line_connecting(sk0,sk1)) | distinct_points(sk0,X0) | distinct_points(X0,sk0) | ~spl104), inference(resolution, [status(thm)], [p1064, p48])).
% 29.43/4.53  cnf(p3225, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | distinct_points(sk0,sk0) | ~spl104), inference(factoring, [status(thm)], [p3166])).
% 29.43/4.53  cnf(p3232, plain, (distinct_points(sk0,sk0) | distinct_points(sk0,sk0) | ~spl104), inference(resolution, [status(thm)], [p3225, p47])).
% 29.43/4.53  cnf(p3237, plain, (distinct_points(sk0,sk0) | ~spl104), inference(factoring, [status(thm)], [p3232])).
% 29.43/4.53  cnf(p3238, plain, ($false | ~spl104), inference(resolution, [status(thm)], [p3237, c0])).
% 29.43/4.53  cnf(sct4, plain, (~spl104), inference(avatar_contradiction_clause, [status(thm)], [p3238])).
% 29.43/4.53  fof(sdef70, definition, (spl70 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl70])], [avatar_definition])).
% 29.43/4.53  cnf(p972, plain, (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk1)) | ~spl70), inference(avatar_component_clause, [status(thm)], [sdef70])).
% 29.43/4.53  fof(f7, axiom, ! [X,Y,Z] : ( convergent_lines(X,Y) => ( ( apart_point_and_line(Z,X) | apart_point_and_line(Z,Y) ) => distinct_points(Z,intersection_point(X,Y)) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con2)).
% 29.43/4.53  fof(f7_nnf, plain, ! [X,Y,Z] : ((~(convergent_lines(X,Y)) | ((~(apart_point_and_line(Z,X)) & ~(apart_point_and_line(Z,Y))) | distinct_points(Z,intersection_point(X,Y))))), inference(nnf_transformation, [status(thm)], [f7])).
% 29.43/4.53  fof(f7_sk, plain, ! [X,Y,Z] : ((~(convergent_lines(X,Y)) | ((~(apart_point_and_line(Z,X)) & ~(apart_point_and_line(Z,Y))) | distinct_points(Z,intersection_point(X,Y))))), inference(skolemisation, [status(esa)], [f7_nnf])).
% 29.43/4.53  cnf(c8, plain, ~convergent_lines(X0,X1) | ~apart_point_and_line(X2,X0) | distinct_points(X2,intersection_point(X0,X1)), inference(cnf_transformation, [status(esa)], [f7_sk])).
% 29.43/4.53  cnf(c16, plain, convergent_lines(line_connecting(sk0,sk1),line_connecting(sk0,sk2)), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 29.43/4.53  cnf(p97, plain, ~apart_point_and_line(X0,line_connecting(sk0,sk1)) | distinct_points(X0,intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2))), inference(resolution, [status(thm)], [c8, c16])).
% 29.43/4.53  cnf(p1460, plain, (distinct_points(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2))) | ~spl70), inference(resolution, [status(thm)], [p972, p97])).
% 29.43/4.53  cnf(p3602, plain, ($false | ~spl70), inference(resolution, [status(thm)], [p1460, c0])).
% 29.43/4.53  cnf(sct5, plain, (~spl70), inference(avatar_contradiction_clause, [status(thm)], [p3602])).
% 29.43/4.53  fof(sdef71, definition, (spl71 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl71])], [avatar_definition])).
% 29.43/4.53  cnf(p973, plain, (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk2)) | ~spl71), inference(avatar_component_clause, [status(thm)], [sdef71])).
% 29.43/4.53  cnf(c9, plain, ~convergent_lines(X0,X1) | ~apart_point_and_line(X2,X1) | distinct_points(X2,intersection_point(X0,X1)), inference(cnf_transformation, [status(esa)], [f7_sk])).
% 29.43/4.53  cnf(p115, plain, ~apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(X0,intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2))), inference(resolution, [status(thm)], [c9, c16])).
% 29.43/4.53  cnf(p1541, plain, (distinct_points(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2))) | ~spl71), inference(resolution, [status(thm)], [p973, p115])).
% 29.43/4.53  cnf(p4018, plain, ($false | ~spl71), inference(resolution, [status(thm)], [p1541, c0])).
% 29.43/4.53  cnf(sct6, plain, (~spl71), inference(avatar_contradiction_clause, [status(thm)], [p4018])).
% 29.43/4.53  fof(f8, axiom, ! [X,Y,U,V] : ( ( distinct_points(X,Y) & distinct_lines(U,V) ) => ( apart_point_and_line(X,U) | apart_point_and_line(X,V) | apart_point_and_line(Y,U) | apart_point_and_line(Y,V) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cu1)).
% 29.43/4.53  fof(f8_nnf, plain, ! [X,Y,U,V] : (((~(distinct_points(X,Y)) | ~(distinct_lines(U,V))) | (((apart_point_and_line(X,U) | apart_point_and_line(X,V)) | apart_point_and_line(Y,U)) | apart_point_and_line(Y,V)))), inference(nnf_transformation, [status(thm)], [f8])).
% 29.43/4.53  fof(f8_sk, plain, ! [X,Y,U,V] : (((~(distinct_points(X,Y)) | ~(distinct_lines(U,V))) | (((apart_point_and_line(X,U) | apart_point_and_line(X,V)) | apart_point_and_line(Y,U)) | apart_point_and_line(Y,V)))), inference(skolemisation, [status(esa)], [f8_nnf])).
% 29.43/4.53  cnf(c10, plain, ~distinct_points(X0,X1) | ~distinct_lines(X2,X3) | apart_point_and_line(X0,X2) | apart_point_and_line(X0,X3) | apart_point_and_line(X1,X2) | apart_point_and_line(X1,X3), inference(cnf_transformation, [status(esa)], [f8_sk])).
% 29.43/4.53  cnf(p142, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1), inference(resolution, [status(thm)], [c10, c14])).
% 29.43/4.53  fof(f11, axiom, ! [X,Y] : ( convergent_lines(X,Y) => distinct_lines(X,Y) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ceq3)).
% 29.43/4.53  fof(f11_nnf, plain, ! [X,Y] : ((~(convergent_lines(X,Y)) | distinct_lines(X,Y))), inference(nnf_transformation, [status(thm)], [f11])).
% 29.43/4.53  fof(f11_sk, plain, ! [X,Y] : ((~(convergent_lines(X,Y)) | distinct_lines(X,Y))), inference(skolemisation, [status(esa)], [f11_nnf])).
% 29.43/4.53  cnf(c13, plain, ~convergent_lines(X0,X1) | distinct_lines(X0,X1), inference(cnf_transformation, [status(esa)], [f11_sk])).
% 29.43/4.53  cnf(p18, plain, distinct_lines(line_connecting(sk0,sk1),line_connecting(sk0,sk2)), inference(resolution, [status(thm)], [c13, c16])).
% 29.43/4.53  cnf(p790, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk0,sk2)), inference(resolution, [status(thm)], [p142, p18])).
% 29.43/4.53  fof(sdef3, definition, (spl3 <=> (apart_point_and_line(sk1,line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl3])], [avatar_definition])).
% 29.43/4.53  cnf(ssp0, plain, (spl0 | spl1 | spl2 | spl3), inference(avatar_split_clause, [status(thm)], [p790, sdef0, sdef1, sdef2, sdef3])).
% 29.43/4.53  fof(f4, axiom, ! [X,Y,Z] : ( distinct_lines(X,Y) => ( distinct_lines(X,Z) | distinct_lines(Y,Z) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart5)).
% 29.43/4.53  fof(f4_nnf, plain, ! [X,Y,Z] : ((~(distinct_lines(X,Y)) | (distinct_lines(X,Z) | distinct_lines(Y,Z)))), inference(nnf_transformation, [status(thm)], [f4])).
% 29.43/4.53  fof(f4_sk, plain, ! [X,Y,Z] : ((~(distinct_lines(X,Y)) | (distinct_lines(X,Z) | distinct_lines(Y,Z)))), inference(skolemisation, [status(esa)], [f4_nnf])).
% 29.43/4.53  cnf(c4, plain, ~distinct_lines(X0,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(cnf_transformation, [status(esa)], [f4_sk])).
% 29.43/4.53  cnf(p29, plain, distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk0,sk2),X0), inference(resolution, [status(thm)], [c4, p18])).
% 29.43/4.53  cnf(p795, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk1),X0), inference(resolution, [status(thm)], [p142, p29])).
% 29.43/4.53  fof(sdef4, definition, (spl4 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl4])], [avatar_definition])).
% 29.43/4.53  cnf(ssp1, plain, (spl1 | spl3 | spl4), inference(avatar_split_clause, [status(thm)], [p795, sdef1, sdef3, sdef4])).
% 29.43/4.53  cnf(p41, plain, distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p29, c4])).
% 29.43/4.53  cnf(p797, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p142, p41])).
% 29.43/4.53  fof(sdef5, definition, (spl5 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl5])], [avatar_definition])).
% 29.43/4.53  cnf(ssp2, plain, (spl0 | spl2 | spl5), inference(avatar_split_clause, [status(thm)], [p797, sdef0, sdef2, sdef5])).
% 29.43/4.53  cnf(p799, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p142, p41])).
% 29.43/4.53  fof(sdef6, definition, (spl6 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl6])], [avatar_definition])).
% 29.43/4.53  cnf(ssp3, plain, (spl1 | spl3 | spl6), inference(avatar_split_clause, [status(thm)], [p799, sdef1, sdef3, sdef6])).
% 29.43/4.53  cnf(p801, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p142, p41])).
% 29.43/4.53  fof(sdef7, definition, (spl7 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk2),X0))), introduced(definition, [new_symbols(naming, [spl7])], [avatar_definition])).
% 29.43/4.53  cnf(ssp4, plain, (spl4 | spl7), inference(avatar_split_clause, [status(thm)], [p801, sdef4, sdef7])).
% 29.43/4.53  fof(f1, axiom, ! [X] : ~ distinct_lines(X,X), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart2)).
% 29.43/4.53  fof(f1_nnf, plain, ! [X] : (~(distinct_lines(X,X))), inference(nnf_transformation, [status(thm)], [f1])).
% 29.43/4.53  fof(f1_sk, plain, ! [X] : (~(distinct_lines(X,X))), inference(skolemisation, [status(esa)], [f1_nnf])).
% 29.43/4.53  cnf(c1, plain, ~distinct_lines(X0,X0), inference(cnf_transformation, [status(esa)], [f1_sk])).
% 29.43/4.53  cnf(p328, plain, distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(X0,line_connecting(sk0,sk2)), inference(resolution, [status(thm)], [p41, c1])).
% 29.43/4.53  cnf(p803, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | distinct_lines(X0,line_connecting(sk0,sk2)), inference(resolution, [status(thm)], [p142, p328])).
% 29.43/4.53  fof(sdef8, definition, (spl8 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X0,line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl8])], [avatar_definition])).
% 29.43/4.53  cnf(ssp5, plain, (spl0 | spl2 | spl8), inference(avatar_split_clause, [status(thm)], [p803, sdef0, sdef2, sdef8])).
% 29.43/4.53  fof(f5, axiom, ! [X,Y,Z] : ( convergent_lines(X,Y) => ( convergent_lines(X,Z) | convergent_lines(Y,Z) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart6)).
% 29.43/4.53  fof(f5_nnf, plain, ! [X,Y,Z] : ((~(convergent_lines(X,Y)) | (convergent_lines(X,Z) | convergent_lines(Y,Z)))), inference(nnf_transformation, [status(thm)], [f5])).
% 29.43/4.53  fof(f5_sk, plain, ! [X,Y,Z] : ((~(convergent_lines(X,Y)) | (convergent_lines(X,Z) | convergent_lines(Y,Z)))), inference(skolemisation, [status(esa)], [f5_nnf])).
% 29.43/4.53  cnf(c5, plain, ~convergent_lines(X0,X1) | convergent_lines(X0,X2) | convergent_lines(X1,X2), inference(cnf_transformation, [status(esa)], [f5_sk])).
% 29.43/4.53  cnf(p40, plain, convergent_lines(line_connecting(sk0,sk1),X0) | convergent_lines(line_connecting(sk0,sk2),X0), inference(resolution, [status(thm)], [c5, c16])).
% 29.43/4.53  cnf(p112, plain, convergent_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk0,sk2),X0), inference(resolution, [status(thm)], [p40, c13])).
% 29.43/4.53  cnf(p139, plain, distinct_lines(line_connecting(sk0,sk2),X0) | convergent_lines(line_connecting(sk0,sk1),X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p112, c5])).
% 29.43/4.53  cnf(p805, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p142, p139])).
% 29.43/4.53  fof(sdef9, definition, (spl9 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl9])], [avatar_definition])).
% 29.43/4.53  cnf(ssp6, plain, (spl1 | spl3 | spl9), inference(avatar_split_clause, [status(thm)], [p805, sdef1, sdef3, sdef9])).
% 29.43/4.53  fof(f2, axiom, ! [X] : ~ convergent_lines(X,X), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart3)).
% 29.43/4.53  fof(f2_nnf, plain, ! [X] : (~(convergent_lines(X,X))), inference(nnf_transformation, [status(thm)], [f2])).
% 29.43/4.53  fof(f2_sk, plain, ! [X] : (~(convergent_lines(X,X))), inference(skolemisation, [status(esa)], [f2_nnf])).
% 29.43/4.53  cnf(c2, plain, ~convergent_lines(X0,X0), inference(cnf_transformation, [status(esa)], [f2_sk])).
% 29.43/4.53  cnf(p484, plain, distinct_lines(line_connecting(sk0,sk2),X0) | convergent_lines(X0,line_connecting(sk0,sk1)), inference(resolution, [status(thm)], [p139, c2])).
% 29.43/4.53  cnf(p494, plain, distinct_lines(line_connecting(sk0,sk2),X0) | distinct_lines(X0,line_connecting(sk0,sk1)), inference(resolution, [status(thm)], [p484, c13])).
% 29.43/4.53  cnf(p807, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | distinct_lines(X0,line_connecting(sk0,sk1)), inference(resolution, [status(thm)], [p142, p494])).
% 29.43/4.53  fof(sdef10, definition, (spl10 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X0,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl10])], [avatar_definition])).
% 29.43/4.53  cnf(ssp7, plain, (spl1 | spl3 | spl10), inference(avatar_split_clause, [status(thm)], [p807, sdef1, sdef3, sdef10])).
% 29.43/4.53  cnf(p809, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | distinct_lines(line_connecting(sk0,sk2),X0), inference(resolution, [status(thm)], [p142, p494])).
% 29.43/4.53  cnf(ssp8, plain, (spl0 | spl2 | spl7), inference(avatar_split_clause, [status(thm)], [p809, sdef0, sdef2, sdef7])).
% 29.43/4.53  cnf(p332, plain, distinct_lines(X0,line_connecting(sk0,sk2)) | distinct_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p328, c4])).
% 29.43/4.53  cnf(p810, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | distinct_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p142, p332])).
% 29.43/4.53  fof(sdef11, definition, (spl11 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl11])], [avatar_definition])).
% 29.43/4.53  cnf(ssp9, plain, (spl1 | spl3 | spl11), inference(avatar_split_clause, [status(thm)], [p810, sdef1, sdef3, sdef11])).
% 29.43/4.53  cnf(p812, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | distinct_lines(X1,line_connecting(sk0,sk2)) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p142, p332])).
% 29.43/4.53  fof(sdef12, definition, (spl12 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X1,line_connecting(sk0,sk2)) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl12])], [avatar_definition])).
% 29.43/4.53  cnf(ssp10, plain, (spl0 | spl2 | spl12), inference(avatar_split_clause, [status(thm)], [p812, sdef0, sdef2, sdef12])).
% 29.43/4.53  cnf(p814, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | distinct_lines(X0,line_connecting(sk0,sk2)) | distinct_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p142, p332])).
% 29.43/4.53  cnf(ssp11, plain, (spl4 | spl8), inference(avatar_split_clause, [status(thm)], [p814, sdef4, sdef8])).
% 29.43/4.53  cnf(p113, plain, convergent_lines(line_connecting(sk0,sk1),X0) | convergent_lines(line_connecting(sk0,sk2),X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p40, c5])).
% 29.43/4.53  cnf(p410, plain, convergent_lines(line_connecting(sk0,sk2),X0) | convergent_lines(X1,X0) | distinct_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p113, c13])).
% 29.43/4.53  cnf(p815, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p142, p410])).
% 29.43/4.53  fof(sdef13, definition, (spl13 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl13])], [avatar_definition])).
% 29.43/4.53  cnf(ssp12, plain, (spl0 | spl2 | spl13), inference(avatar_split_clause, [status(thm)], [p815, sdef0, sdef2, sdef13])).
% 29.43/4.53  cnf(p411, plain, convergent_lines(line_connecting(sk0,sk1),X0) | convergent_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p113, c13])).
% 29.43/4.53  cnf(p817, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | convergent_lines(X1,X0), inference(resolution, [status(thm)], [p142, p411])).
% 29.43/4.53  fof(sdef14, definition, (spl14 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl14])], [avatar_definition])).
% 29.43/4.53  cnf(ssp13, plain, (spl1 | spl3 | spl14), inference(avatar_split_clause, [status(thm)], [p817, sdef1, sdef3, sdef14])).
% 29.43/4.53  cnf(p412, plain, convergent_lines(line_connecting(sk0,sk1),X0) | convergent_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p113, c13])).
% 29.43/4.53  cnf(p819, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | convergent_lines(line_connecting(sk0,sk1),X0) | convergent_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p142, p412])).
% 29.43/4.53  fof(sdef15, definition, (spl15 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl15])], [avatar_definition])).
% 29.43/4.53  fof(sdef16, definition, (spl16 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(line_connecting(sk0,sk2),X0))), introduced(definition, [new_symbols(naming, [spl16])], [avatar_definition])).
% 29.43/4.53  cnf(ssp14, plain, (spl15 | spl16), inference(avatar_split_clause, [status(thm)], [p819, sdef15, sdef16])).
% 29.43/4.53  cnf(p485, plain, distinct_lines(line_connecting(sk0,sk2),X0) | convergent_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p139, c13])).
% 29.43/4.53  cnf(p822, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | convergent_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p142, p485])).
% 29.43/4.53  fof(sdef17, definition, (spl17 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk1),X1))), introduced(definition, [new_symbols(naming, [spl17])], [avatar_definition])).
% 29.43/4.53  cnf(ssp15, plain, (spl1 | spl3 | spl17), inference(avatar_split_clause, [status(thm)], [p822, sdef1, sdef3, sdef17])).
% 29.43/4.53  cnf(p824, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk2),X1) | convergent_lines(X1,X0), inference(resolution, [status(thm)], [p142, p485])).
% 29.43/4.53  fof(sdef18, definition, (spl18 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk2),X1) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl18])], [avatar_definition])).
% 29.43/4.53  cnf(ssp16, plain, (spl0 | spl2 | spl18), inference(avatar_split_clause, [status(thm)], [p824, sdef0, sdef2, sdef18])).
% 29.43/4.53  cnf(p486, plain, distinct_lines(line_connecting(sk0,sk2),X0) | convergent_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p139, c13])).
% 29.43/4.53  cnf(p826, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p142, p486])).
% 29.43/4.53  fof(sdef19, definition, (spl19 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl19])], [avatar_definition])).
% 29.43/4.53  cnf(ssp17, plain, (spl1 | spl3 | spl19), inference(avatar_split_clause, [status(thm)], [p826, sdef1, sdef3, sdef19])).
% 29.43/4.53  cnf(p828, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | distinct_lines(line_connecting(sk0,sk2),X0) | convergent_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p142, p486])).
% 29.43/4.53  cnf(ssp18, plain, (spl7 | spl15), inference(avatar_split_clause, [status(thm)], [p828, sdef7, sdef15])).
% 29.43/4.53  cnf(p497, plain, distinct_lines(X0,line_connecting(sk0,sk1)) | distinct_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p494, c4])).
% 29.43/4.53  cnf(p829, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | distinct_lines(X1,line_connecting(sk0,sk1)) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p142, p497])).
% 29.43/4.53  fof(sdef20, definition, (spl20 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X1,line_connecting(sk0,sk1)) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl20])], [avatar_definition])).
% 29.43/4.53  cnf(ssp19, plain, (spl1 | spl3 | spl20), inference(avatar_split_clause, [status(thm)], [p829, sdef1, sdef3, sdef20])).
% 29.43/4.53  cnf(p831, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | distinct_lines(X0,line_connecting(sk0,sk1)) | distinct_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p142, p497])).
% 29.43/4.53  cnf(ssp20, plain, (spl7 | spl10), inference(avatar_split_clause, [status(thm)], [p831, sdef7, sdef10])).
% 29.43/4.53  cnf(p498, plain, distinct_lines(line_connecting(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p494, c4])).
% 29.43/4.53  cnf(p832, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p142, p498])).
% 29.43/4.53  fof(sdef21, definition, (spl21 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl21])], [avatar_definition])).
% 29.43/4.53  cnf(ssp21, plain, (spl0 | spl2 | spl21), inference(avatar_split_clause, [status(thm)], [p832, sdef0, sdef2, sdef21])).
% 29.43/4.53  cnf(p586, plain, convergent_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p410, c13])).
% 29.43/4.53  cnf(p834, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | convergent_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p142, p586])).
% 29.43/4.53  fof(sdef22, definition, (spl22 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk2),X1))), introduced(definition, [new_symbols(naming, [spl22])], [avatar_definition])).
% 29.43/4.53  cnf(ssp22, plain, (spl0 | spl2 | spl22), inference(avatar_split_clause, [status(thm)], [p834, sdef0, sdef2, sdef22])).
% 29.43/4.53  cnf(p836, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | convergent_lines(X1,X0) | distinct_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p142, p586])).
% 29.43/4.53  fof(sdef23, definition, (spl23 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(X1,X0) | distinct_lines(line_connecting(sk0,sk1),X1))), introduced(definition, [new_symbols(naming, [spl23])], [avatar_definition])).
% 29.43/4.53  cnf(ssp23, plain, (spl1 | spl3 | spl23), inference(avatar_split_clause, [status(thm)], [p836, sdef1, sdef3, sdef23])).
% 29.43/4.53  cnf(p587, plain, convergent_lines(line_connecting(sk0,sk2),X0) | distinct_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p410, c13])).
% 29.43/4.53  cnf(p838, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p142, p587])).
% 29.43/4.53  fof(sdef24, definition, (spl24 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl24])], [avatar_definition])).
% 29.43/4.53  cnf(ssp24, plain, (spl0 | spl2 | spl24), inference(avatar_split_clause, [status(thm)], [p838, sdef0, sdef2, sdef24])).
% 29.43/4.53  cnf(p840, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | convergent_lines(line_connecting(sk0,sk2),X1) | distinct_lines(line_connecting(sk0,sk1),X0), inference(resolution, [status(thm)], [p142, p587])).
% 29.43/4.53  cnf(ssp25, plain, (spl4 | spl16), inference(avatar_split_clause, [status(thm)], [p840, sdef4, sdef16])).
% 29.43/4.53  cnf(p597, plain, convergent_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p411, c13])).
% 29.43/4.53  cnf(p841, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p142, p597])).
% 29.43/4.53  fof(sdef25, definition, (spl25 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl25])], [avatar_definition])).
% 29.43/4.53  cnf(ssp26, plain, (spl1 | spl3 | spl25), inference(avatar_split_clause, [status(thm)], [p841, sdef1, sdef3, sdef25])).
% 29.43/4.53  cnf(p409, plain, convergent_lines(line_connecting(sk0,sk1),X0) | convergent_lines(X0,line_connecting(sk0,sk2)), inference(resolution, [status(thm)], [p113, c2])).
% 29.43/4.53  cnf(p424, plain, convergent_lines(X0,line_connecting(sk0,sk2)) | convergent_lines(line_connecting(sk0,sk1),X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p409, c5])).
% 29.43/4.53  cnf(p612, plain, convergent_lines(X0,line_connecting(sk0,sk2)) | convergent_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p424, c13])).
% 29.43/4.53  cnf(p843, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | convergent_lines(X1,line_connecting(sk0,sk2)) | convergent_lines(X1,X0), inference(resolution, [status(thm)], [p142, p612])).
% 29.43/4.53  fof(sdef26, definition, (spl26 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(X1,line_connecting(sk0,sk2)) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl26])], [avatar_definition])).
% 29.43/4.53  cnf(ssp27, plain, (spl0 | spl2 | spl26), inference(avatar_split_clause, [status(thm)], [p843, sdef0, sdef2, sdef26])).
% 29.43/4.53  cnf(p613, plain, convergent_lines(X0,line_connecting(sk0,sk2)) | convergent_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p424, c13])).
% 29.43/4.53  cnf(p845, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | convergent_lines(X0,line_connecting(sk0,sk2)) | convergent_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p142, p613])).
% 29.43/4.53  fof(sdef27, definition, (spl27 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(X0,line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl27])], [avatar_definition])).
% 29.43/4.53  cnf(ssp28, plain, (spl15 | spl27), inference(avatar_split_clause, [status(thm)], [p845, sdef15, sdef27])).
% 29.43/4.53  cnf(p423, plain, convergent_lines(line_connecting(sk0,sk1),X0) | distinct_lines(X0,line_connecting(sk0,sk2)), inference(resolution, [status(thm)], [p409, c13])).
% 29.43/4.53  cnf(p431, plain, distinct_lines(X0,line_connecting(sk0,sk2)) | convergent_lines(line_connecting(sk0,sk1),X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p423, c5])).
% 29.43/4.53  cnf(p631, plain, distinct_lines(X0,line_connecting(sk0,sk2)) | convergent_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p431, c13])).
% 29.43/4.53  cnf(p847, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | distinct_lines(X1,line_connecting(sk0,sk2)) | convergent_lines(X1,X0), inference(resolution, [status(thm)], [p142, p631])).
% 29.43/4.53  fof(sdef28, definition, (spl28 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X1,line_connecting(sk0,sk2)) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl28])], [avatar_definition])).
% 29.43/4.53  cnf(ssp29, plain, (spl0 | spl2 | spl28), inference(avatar_split_clause, [status(thm)], [p847, sdef0, sdef2, sdef28])).
% 29.43/4.53  cnf(p632, plain, distinct_lines(X0,line_connecting(sk0,sk2)) | convergent_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p431, c13])).
% 29.43/4.53  cnf(p849, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | distinct_lines(X0,line_connecting(sk0,sk2)) | convergent_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p142, p632])).
% 29.43/4.53  cnf(ssp30, plain, (spl8 | spl15), inference(avatar_split_clause, [status(thm)], [p849, sdef8, sdef15])).
% 29.43/4.53  cnf(p664, plain, convergent_lines(X0,line_connecting(sk0,sk2)) | distinct_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p612, c13])).
% 29.43/4.53  cnf(p850, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | convergent_lines(X1,line_connecting(sk0,sk2)) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p142, p664])).
% 29.43/4.53  fof(sdef29, definition, (spl29 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(X1,line_connecting(sk0,sk2)) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl29])], [avatar_definition])).
% 29.43/4.53  cnf(ssp31, plain, (spl0 | spl2 | spl29), inference(avatar_split_clause, [status(thm)], [p850, sdef0, sdef2, sdef29])).
% 29.43/4.53  cnf(p852, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | convergent_lines(X0,line_connecting(sk0,sk2)) | distinct_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p142, p664])).
% 29.43/4.53  cnf(ssp32, plain, (spl4 | spl27), inference(avatar_split_clause, [status(thm)], [p852, sdef4, sdef27])).
% 29.43/4.53  cnf(p611, plain, convergent_lines(X0,line_connecting(sk0,sk2)) | convergent_lines(X0,line_connecting(sk0,sk1)), inference(resolution, [status(thm)], [p424, c2])).
% 29.43/4.53  cnf(p624, plain, convergent_lines(X0,line_connecting(sk0,sk1)) | convergent_lines(X0,X1) | convergent_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p611, c5])).
% 29.43/4.53  cnf(p684, plain, convergent_lines(X0,line_connecting(sk0,sk1)) | convergent_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p624, c13])).
% 29.43/4.53  cnf(p853, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | convergent_lines(X0,line_connecting(sk0,sk1)) | convergent_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p142, p684])).
% 29.43/4.53  fof(sdef30, definition, (spl30 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(X0,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl30])], [avatar_definition])).
% 29.43/4.53  cnf(ssp33, plain, (spl16 | spl30), inference(avatar_split_clause, [status(thm)], [p853, sdef16, sdef30])).
% 29.43/4.53  cnf(p685, plain, convergent_lines(X0,line_connecting(sk0,sk1)) | convergent_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p624, c13])).
% 29.43/4.53  cnf(p855, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | convergent_lines(X1,line_connecting(sk0,sk1)) | convergent_lines(X1,X0), inference(resolution, [status(thm)], [p142, p685])).
% 29.43/4.53  fof(sdef31, definition, (spl31 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(X1,line_connecting(sk0,sk1)) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl31])], [avatar_definition])).
% 29.43/4.53  cnf(ssp34, plain, (spl1 | spl3 | spl31), inference(avatar_split_clause, [status(thm)], [p855, sdef1, sdef3, sdef31])).
% 29.43/4.53  cnf(p672, plain, convergent_lines(X0,line_connecting(sk0,sk2)) | distinct_lines(X0,line_connecting(sk0,sk1)), inference(resolution, [status(thm)], [p613, c2])).
% 29.43/4.53  cnf(p680, plain, distinct_lines(X0,line_connecting(sk0,sk1)) | convergent_lines(X0,X1) | convergent_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p672, c5])).
% 29.43/4.53  cnf(p717, plain, distinct_lines(X0,line_connecting(sk0,sk1)) | convergent_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p680, c13])).
% 29.43/4.53  cnf(p857, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | distinct_lines(X0,line_connecting(sk0,sk1)) | convergent_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p142, p717])).
% 29.43/4.53  cnf(ssp35, plain, (spl10 | spl16), inference(avatar_split_clause, [status(thm)], [p857, sdef10, sdef16])).
% 29.43/4.53  cnf(p718, plain, distinct_lines(X0,line_connecting(sk0,sk1)) | convergent_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p680, c13])).
% 29.43/4.53  cnf(p858, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | distinct_lines(X1,line_connecting(sk0,sk1)) | convergent_lines(X1,X0), inference(resolution, [status(thm)], [p142, p718])).
% 29.43/4.53  fof(sdef32, definition, (spl32 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X1,line_connecting(sk0,sk1)) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl32])], [avatar_definition])).
% 29.43/4.53  cnf(ssp36, plain, (spl1 | spl3 | spl32), inference(avatar_split_clause, [status(thm)], [p858, sdef1, sdef3, sdef32])).
% 29.43/4.53  cnf(p726, plain, convergent_lines(X0,line_connecting(sk0,sk1)) | distinct_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p684, c13])).
% 29.43/4.53  cnf(p860, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | convergent_lines(X0,line_connecting(sk0,sk1)) | distinct_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p142, p726])).
% 29.43/4.53  cnf(ssp37, plain, (spl7 | spl30), inference(avatar_split_clause, [status(thm)], [p860, sdef7, sdef30])).
% 29.43/4.53  cnf(p861, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | convergent_lines(X1,line_connecting(sk0,sk1)) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p142, p726])).
% 29.43/4.53  fof(sdef33, definition, (spl33 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(X1,line_connecting(sk0,sk1)) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl33])], [avatar_definition])).
% 29.43/4.53  cnf(ssp38, plain, (spl1 | spl3 | spl33), inference(avatar_split_clause, [status(thm)], [p861, sdef1, sdef3, sdef33])).
% 29.43/4.53  cnf(p683, plain, convergent_lines(X0,line_connecting(sk0,sk1)) | convergent_lines(line_connecting(sk0,sk2),X0), inference(resolution, [status(thm)], [p624, c2])).
% 29.43/4.53  cnf(p695, plain, convergent_lines(line_connecting(sk0,sk2),X0) | convergent_lines(X0,X1) | convergent_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p683, c5])).
% 29.43/4.53  cnf(p740, plain, convergent_lines(line_connecting(sk0,sk2),X0) | convergent_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p695, c13])).
% 29.43/4.53  cnf(p863, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | convergent_lines(X1,X0), inference(resolution, [status(thm)], [p142, p740])).
% 29.43/4.53  fof(sdef34, definition, (spl34 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl34])], [avatar_definition])).
% 29.43/4.53  cnf(ssp39, plain, (spl0 | spl2 | spl34), inference(avatar_split_clause, [status(thm)], [p863, sdef0, sdef2, sdef34])).
% 29.43/4.53  cnf(p739, plain, convergent_lines(line_connecting(sk0,sk2),X0) | convergent_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p695, c13])).
% 29.43/4.53  cnf(p763, plain, convergent_lines(line_connecting(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p739, c13])).
% 29.43/4.53  cnf(p865, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p142, p763])).
% 29.43/4.53  fof(sdef35, definition, (spl35 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl35])], [avatar_definition])).
% 29.43/4.53  cnf(ssp40, plain, (spl0 | spl2 | spl35), inference(avatar_split_clause, [status(thm)], [p865, sdef0, sdef2, sdef35])).
% 29.43/4.53  cnf(p143, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,X1), inference(resolution, [status(thm)], [c10, c15])).
% 29.43/4.53  cnf(p879, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,line_connecting(sk0,sk2)), inference(resolution, [status(thm)], [p143, p18])).
% 29.43/4.53  fof(sdef36, definition, (spl36 <=> (apart_point_and_line(sk2,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl36])], [avatar_definition])).
% 29.43/4.53  cnf(ssp41, plain, (spl0 | spl1 | spl36 | spl37), inference(avatar_split_clause, [status(thm)], [p879, sdef0, sdef1, sdef36, sdef37])).
% 29.43/4.53  cnf(p882, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | distinct_lines(line_connecting(sk0,sk1),X0), inference(resolution, [status(thm)], [p143, p29])).
% 29.43/4.53  fof(sdef38, definition, (spl38 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl38])], [avatar_definition])).
% 29.43/4.53  cnf(ssp42, plain, (spl1 | spl37 | spl38), inference(avatar_split_clause, [status(thm)], [p882, sdef1, sdef37, sdef38])).
% 29.43/4.53  cnf(p884, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | distinct_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p143, p41])).
% 29.43/4.53  fof(sdef39, definition, (spl39 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | distinct_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl39])], [avatar_definition])).
% 29.43/4.53  cnf(ssp43, plain, (spl0 | spl36 | spl39), inference(avatar_split_clause, [status(thm)], [p884, sdef0, sdef36, sdef39])).
% 29.43/4.53  cnf(p886, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | distinct_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p143, p41])).
% 29.43/4.53  fof(sdef40, definition, (spl40 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | distinct_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl40])], [avatar_definition])).
% 29.43/4.53  cnf(ssp44, plain, (spl1 | spl37 | spl40), inference(avatar_split_clause, [status(thm)], [p886, sdef1, sdef37, sdef40])).
% 29.43/4.53  cnf(p888, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p143, p41])).
% 29.43/4.53  fof(sdef41, definition, (spl41 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | distinct_lines(line_connecting(sk0,sk2),X0))), introduced(definition, [new_symbols(naming, [spl41])], [avatar_definition])).
% 29.43/4.53  cnf(ssp45, plain, (spl38 | spl41), inference(avatar_split_clause, [status(thm)], [p888, sdef38, sdef41])).
% 29.43/4.53  cnf(p890, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | distinct_lines(X0,line_connecting(sk0,sk2)), inference(resolution, [status(thm)], [p143, p328])).
% 29.43/4.53  fof(sdef42, definition, (spl42 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | distinct_lines(X0,line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl42])], [avatar_definition])).
% 29.43/4.53  cnf(ssp46, plain, (spl0 | spl36 | spl42), inference(avatar_split_clause, [status(thm)], [p890, sdef0, sdef36, sdef42])).
% 29.43/4.53  cnf(p892, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p143, p139])).
% 29.43/4.53  fof(sdef43, definition, (spl43 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl43])], [avatar_definition])).
% 29.43/4.53  cnf(ssp47, plain, (spl1 | spl37 | spl43), inference(avatar_split_clause, [status(thm)], [p892, sdef1, sdef37, sdef43])).
% 29.43/4.53  cnf(p894, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | distinct_lines(X0,line_connecting(sk0,sk1)), inference(resolution, [status(thm)], [p143, p494])).
% 29.43/4.53  fof(sdef44, definition, (spl44 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | distinct_lines(X0,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl44])], [avatar_definition])).
% 29.43/4.53  cnf(ssp48, plain, (spl1 | spl37 | spl44), inference(avatar_split_clause, [status(thm)], [p894, sdef1, sdef37, sdef44])).
% 29.43/4.53  cnf(p896, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk1)) | distinct_lines(line_connecting(sk0,sk2),X0), inference(resolution, [status(thm)], [p143, p494])).
% 29.43/4.53  cnf(ssp49, plain, (spl0 | spl36 | spl41), inference(avatar_split_clause, [status(thm)], [p896, sdef0, sdef36, sdef41])).
% 29.43/4.53  cnf(p897, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | distinct_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p143, p332])).
% 29.43/4.53  fof(sdef45, definition, (spl45 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | distinct_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl45])], [avatar_definition])).
% 29.43/4.53  cnf(ssp50, plain, (spl1 | spl37 | spl45), inference(avatar_split_clause, [status(thm)], [p897, sdef1, sdef37, sdef45])).
% 29.43/4.53  cnf(p899, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | distinct_lines(X1,line_connecting(sk0,sk2)) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p143, p332])).
% 29.43/4.53  fof(sdef46, definition, (spl46 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | distinct_lines(X1,line_connecting(sk0,sk2)) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl46])], [avatar_definition])).
% 29.43/4.53  cnf(ssp51, plain, (spl0 | spl36 | spl46), inference(avatar_split_clause, [status(thm)], [p899, sdef0, sdef36, sdef46])).
% 29.43/4.53  cnf(p901, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,X1) | distinct_lines(X0,line_connecting(sk0,sk2)) | distinct_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p143, p332])).
% 29.43/4.53  cnf(ssp52, plain, (spl38 | spl42), inference(avatar_split_clause, [status(thm)], [p901, sdef38, sdef42])).
% 29.43/4.53  cnf(p902, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p143, p410])).
% 29.43/4.53  fof(sdef47, definition, (spl47 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl47])], [avatar_definition])).
% 29.43/4.53  cnf(ssp53, plain, (spl0 | spl36 | spl47), inference(avatar_split_clause, [status(thm)], [p902, sdef0, sdef36, sdef47])).
% 29.43/4.53  cnf(p904, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | convergent_lines(X1,X0), inference(resolution, [status(thm)], [p143, p411])).
% 29.43/4.53  fof(sdef48, definition, (spl48 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl48])], [avatar_definition])).
% 29.43/4.53  cnf(ssp54, plain, (spl1 | spl37 | spl48), inference(avatar_split_clause, [status(thm)], [p904, sdef1, sdef37, sdef48])).
% 29.43/4.53  cnf(p906, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,X1) | convergent_lines(line_connecting(sk0,sk1),X0) | convergent_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p143, p412])).
% 29.43/4.53  fof(sdef49, definition, (spl49 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl49])], [avatar_definition])).
% 29.43/4.53  fof(sdef50, definition, (spl50 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(line_connecting(sk0,sk2),X0))), introduced(definition, [new_symbols(naming, [spl50])], [avatar_definition])).
% 29.43/4.53  cnf(ssp55, plain, (spl49 | spl50), inference(avatar_split_clause, [status(thm)], [p906, sdef49, sdef50])).
% 29.43/4.53  cnf(p909, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | convergent_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p143, p485])).
% 29.43/4.53  fof(sdef51, definition, (spl51 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk1),X1))), introduced(definition, [new_symbols(naming, [spl51])], [avatar_definition])).
% 29.43/4.53  cnf(ssp56, plain, (spl1 | spl37 | spl51), inference(avatar_split_clause, [status(thm)], [p909, sdef1, sdef37, sdef51])).
% 29.43/4.53  cnf(p911, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | distinct_lines(line_connecting(sk0,sk2),X1) | convergent_lines(X1,X0), inference(resolution, [status(thm)], [p143, p485])).
% 29.43/4.53  fof(sdef52, definition, (spl52 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | distinct_lines(line_connecting(sk0,sk2),X1) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl52])], [avatar_definition])).
% 29.43/4.53  cnf(ssp57, plain, (spl0 | spl36 | spl52), inference(avatar_split_clause, [status(thm)], [p911, sdef0, sdef36, sdef52])).
% 29.43/4.53  cnf(p913, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p143, p486])).
% 29.43/4.53  fof(sdef53, definition, (spl53 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl53])], [avatar_definition])).
% 29.43/4.53  cnf(ssp58, plain, (spl1 | spl37 | spl53), inference(avatar_split_clause, [status(thm)], [p913, sdef1, sdef37, sdef53])).
% 29.43/4.53  cnf(p915, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,X1) | distinct_lines(line_connecting(sk0,sk2),X0) | convergent_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p143, p486])).
% 29.43/4.53  cnf(ssp59, plain, (spl41 | spl49), inference(avatar_split_clause, [status(thm)], [p915, sdef41, sdef49])).
% 29.43/4.53  cnf(p916, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | distinct_lines(X1,line_connecting(sk0,sk1)) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p143, p497])).
% 29.43/4.53  fof(sdef54, definition, (spl54 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | distinct_lines(X1,line_connecting(sk0,sk1)) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl54])], [avatar_definition])).
% 29.43/4.53  cnf(ssp60, plain, (spl1 | spl37 | spl54), inference(avatar_split_clause, [status(thm)], [p916, sdef1, sdef37, sdef54])).
% 29.43/4.53  cnf(p918, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,X1) | distinct_lines(X0,line_connecting(sk0,sk1)) | distinct_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p143, p497])).
% 29.43/4.53  cnf(ssp61, plain, (spl41 | spl44), inference(avatar_split_clause, [status(thm)], [p918, sdef41, sdef44])).
% 29.43/4.53  cnf(p919, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | distinct_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p143, p498])).
% 29.43/4.53  fof(sdef55, definition, (spl55 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | distinct_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl55])], [avatar_definition])).
% 29.43/4.53  cnf(ssp62, plain, (spl0 | spl36 | spl55), inference(avatar_split_clause, [status(thm)], [p919, sdef0, sdef36, sdef55])).
% 29.43/4.53  cnf(p921, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | convergent_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p143, p586])).
% 29.43/4.53  fof(sdef56, definition, (spl56 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk2),X1))), introduced(definition, [new_symbols(naming, [spl56])], [avatar_definition])).
% 29.43/4.53  cnf(ssp63, plain, (spl0 | spl36 | spl56), inference(avatar_split_clause, [status(thm)], [p921, sdef0, sdef36, sdef56])).
% 29.43/4.53  cnf(p923, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | convergent_lines(X1,X0) | distinct_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p143, p586])).
% 29.43/4.53  fof(sdef57, definition, (spl57 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(X1,X0) | distinct_lines(line_connecting(sk0,sk1),X1))), introduced(definition, [new_symbols(naming, [spl57])], [avatar_definition])).
% 29.43/4.53  cnf(ssp64, plain, (spl1 | spl37 | spl57), inference(avatar_split_clause, [status(thm)], [p923, sdef1, sdef37, sdef57])).
% 29.43/4.53  cnf(p925, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p143, p587])).
% 29.43/4.53  fof(sdef58, definition, (spl58 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl58])], [avatar_definition])).
% 29.43/4.53  cnf(ssp65, plain, (spl0 | spl36 | spl58), inference(avatar_split_clause, [status(thm)], [p925, sdef0, sdef36, sdef58])).
% 29.43/4.53  cnf(p927, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,X1) | convergent_lines(line_connecting(sk0,sk2),X1) | distinct_lines(line_connecting(sk0,sk1),X0), inference(resolution, [status(thm)], [p143, p587])).
% 29.43/4.53  cnf(ssp66, plain, (spl38 | spl50), inference(avatar_split_clause, [status(thm)], [p927, sdef38, sdef50])).
% 29.43/4.53  cnf(p928, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p143, p597])).
% 29.43/4.53  fof(sdef59, definition, (spl59 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl59])], [avatar_definition])).
% 29.43/4.53  cnf(ssp67, plain, (spl1 | spl37 | spl59), inference(avatar_split_clause, [status(thm)], [p928, sdef1, sdef37, sdef59])).
% 29.43/4.53  cnf(p930, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | convergent_lines(X1,line_connecting(sk0,sk2)) | convergent_lines(X1,X0), inference(resolution, [status(thm)], [p143, p612])).
% 29.43/4.53  fof(sdef60, definition, (spl60 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(X1,line_connecting(sk0,sk2)) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl60])], [avatar_definition])).
% 29.43/4.53  cnf(ssp68, plain, (spl0 | spl36 | spl60), inference(avatar_split_clause, [status(thm)], [p930, sdef0, sdef36, sdef60])).
% 29.43/4.53  cnf(p932, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,X1) | convergent_lines(X0,line_connecting(sk0,sk2)) | convergent_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p143, p613])).
% 29.43/4.53  fof(sdef61, definition, (spl61 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(X0,line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl61])], [avatar_definition])).
% 29.43/4.53  cnf(ssp69, plain, (spl49 | spl61), inference(avatar_split_clause, [status(thm)], [p932, sdef49, sdef61])).
% 29.43/4.53  cnf(p934, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | distinct_lines(X1,line_connecting(sk0,sk2)) | convergent_lines(X1,X0), inference(resolution, [status(thm)], [p143, p631])).
% 29.43/4.53  fof(sdef62, definition, (spl62 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | distinct_lines(X1,line_connecting(sk0,sk2)) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl62])], [avatar_definition])).
% 29.43/4.53  cnf(ssp70, plain, (spl0 | spl36 | spl62), inference(avatar_split_clause, [status(thm)], [p934, sdef0, sdef36, sdef62])).
% 29.43/4.53  cnf(p936, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,X1) | distinct_lines(X0,line_connecting(sk0,sk2)) | convergent_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p143, p632])).
% 29.43/4.53  cnf(ssp71, plain, (spl42 | spl49), inference(avatar_split_clause, [status(thm)], [p936, sdef42, sdef49])).
% 29.43/4.53  cnf(p937, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | convergent_lines(X1,line_connecting(sk0,sk2)) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p143, p664])).
% 29.43/4.53  fof(sdef63, definition, (spl63 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(X1,line_connecting(sk0,sk2)) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl63])], [avatar_definition])).
% 29.43/4.53  cnf(ssp72, plain, (spl0 | spl36 | spl63), inference(avatar_split_clause, [status(thm)], [p937, sdef0, sdef36, sdef63])).
% 29.43/4.53  cnf(p939, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,X1) | convergent_lines(X0,line_connecting(sk0,sk2)) | distinct_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p143, p664])).
% 29.43/4.53  cnf(ssp73, plain, (spl38 | spl61), inference(avatar_split_clause, [status(thm)], [p939, sdef38, sdef61])).
% 29.43/4.53  cnf(p940, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,X1) | convergent_lines(X0,line_connecting(sk0,sk1)) | convergent_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p143, p684])).
% 29.43/4.53  fof(sdef64, definition, (spl64 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(X0,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl64])], [avatar_definition])).
% 29.43/4.53  cnf(ssp74, plain, (spl50 | spl64), inference(avatar_split_clause, [status(thm)], [p940, sdef50, sdef64])).
% 29.43/4.53  cnf(p942, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | convergent_lines(X1,line_connecting(sk0,sk1)) | convergent_lines(X1,X0), inference(resolution, [status(thm)], [p143, p685])).
% 29.43/4.53  fof(sdef65, definition, (spl65 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(X1,line_connecting(sk0,sk1)) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl65])], [avatar_definition])).
% 29.43/4.53  cnf(ssp75, plain, (spl1 | spl37 | spl65), inference(avatar_split_clause, [status(thm)], [p942, sdef1, sdef37, sdef65])).
% 29.43/4.53  cnf(p944, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,X1) | distinct_lines(X0,line_connecting(sk0,sk1)) | convergent_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p143, p717])).
% 29.43/4.53  cnf(ssp76, plain, (spl44 | spl50), inference(avatar_split_clause, [status(thm)], [p944, sdef44, sdef50])).
% 29.43/4.53  cnf(p945, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | distinct_lines(X1,line_connecting(sk0,sk1)) | convergent_lines(X1,X0), inference(resolution, [status(thm)], [p143, p718])).
% 29.43/4.53  fof(sdef66, definition, (spl66 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | distinct_lines(X1,line_connecting(sk0,sk1)) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl66])], [avatar_definition])).
% 29.43/4.53  cnf(ssp77, plain, (spl1 | spl37 | spl66), inference(avatar_split_clause, [status(thm)], [p945, sdef1, sdef37, sdef66])).
% 29.43/4.53  cnf(p947, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,X1) | convergent_lines(X0,line_connecting(sk0,sk1)) | distinct_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p143, p726])).
% 29.43/4.53  cnf(ssp78, plain, (spl41 | spl64), inference(avatar_split_clause, [status(thm)], [p947, sdef41, sdef64])).
% 29.43/4.53  cnf(p948, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | convergent_lines(X1,line_connecting(sk0,sk1)) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p143, p726])).
% 29.43/4.53  fof(sdef67, definition, (spl67 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(X1,line_connecting(sk0,sk1)) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl67])], [avatar_definition])).
% 29.43/4.53  cnf(ssp79, plain, (spl1 | spl37 | spl67), inference(avatar_split_clause, [status(thm)], [p948, sdef1, sdef37, sdef67])).
% 29.43/4.53  cnf(p950, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | convergent_lines(X1,X0), inference(resolution, [status(thm)], [p143, p740])).
% 29.43/4.53  fof(sdef68, definition, (spl68 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl68])], [avatar_definition])).
% 29.43/4.53  cnf(ssp80, plain, (spl0 | spl36 | spl68), inference(avatar_split_clause, [status(thm)], [p950, sdef0, sdef36, sdef68])).
% 29.43/4.53  cnf(p952, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p143, p763])).
% 29.43/4.53  fof(sdef69, definition, (spl69 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl69])], [avatar_definition])).
% 29.43/4.53  cnf(ssp81, plain, (spl0 | spl36 | spl69), inference(avatar_split_clause, [status(thm)], [p952, sdef0, sdef36, sdef69])).
% 29.43/4.53  cnf(c17, plain, distinct_points(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),sk0), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 29.43/4.53  cnf(p144, plain, ~distinct_lines(X0,X1) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1), inference(resolution, [status(thm)], [c10, c17])).
% 29.43/4.53  cnf(p971, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk1)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk2)) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk0,sk2)), inference(resolution, [status(thm)], [p144, p18])).
% 29.43/4.53  cnf(ssp82, plain, (spl0 | spl1 | spl70 | spl71), inference(avatar_split_clause, [status(thm)], [p971, sdef0, sdef1, sdef70, sdef71])).
% 29.43/4.53  cnf(p974, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk2)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | distinct_lines(line_connecting(sk0,sk1),X0), inference(resolution, [status(thm)], [p144, p29])).
% 29.43/4.53  fof(sdef72, definition, (spl72 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl72])], [avatar_definition])).
% 29.43/4.53  cnf(ssp83, plain, (spl1 | spl71 | spl72), inference(avatar_split_clause, [status(thm)], [p974, sdef1, sdef71, sdef72])).
% 29.43/4.53  cnf(p976, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk1)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | distinct_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p144, p41])).
% 29.43/4.53  fof(sdef73, definition, (spl73 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | distinct_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl73])], [avatar_definition])).
% 29.43/4.53  cnf(ssp84, plain, (spl0 | spl70 | spl73), inference(avatar_split_clause, [status(thm)], [p976, sdef0, sdef70, sdef73])).
% 29.43/4.53  cnf(p978, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk2)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | distinct_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p144, p41])).
% 29.43/4.53  fof(sdef74, definition, (spl74 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | distinct_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl74])], [avatar_definition])).
% 29.43/4.53  cnf(ssp85, plain, (spl1 | spl71 | spl74), inference(avatar_split_clause, [status(thm)], [p978, sdef1, sdef71, sdef74])).
% 29.43/4.53  cnf(p980, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p144, p41])).
% 29.43/4.53  fof(sdef75, definition, (spl75 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | distinct_lines(line_connecting(sk0,sk2),X0))), introduced(definition, [new_symbols(naming, [spl75])], [avatar_definition])).
% 29.43/4.53  cnf(ssp86, plain, (spl72 | spl75), inference(avatar_split_clause, [status(thm)], [p980, sdef72, sdef75])).
% 29.43/4.53  cnf(p982, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk1)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | distinct_lines(X0,line_connecting(sk0,sk2)), inference(resolution, [status(thm)], [p144, p328])).
% 29.43/4.53  fof(sdef76, definition, (spl76 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | distinct_lines(X0,line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl76])], [avatar_definition])).
% 29.43/4.53  cnf(ssp87, plain, (spl0 | spl70 | spl76), inference(avatar_split_clause, [status(thm)], [p982, sdef0, sdef70, sdef76])).
% 29.43/4.53  cnf(p984, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk2)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p144, p139])).
% 29.43/4.53  fof(sdef77, definition, (spl77 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl77])], [avatar_definition])).
% 29.43/4.53  cnf(ssp88, plain, (spl1 | spl71 | spl77), inference(avatar_split_clause, [status(thm)], [p984, sdef1, sdef71, sdef77])).
% 29.43/4.53  cnf(p986, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk2)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | distinct_lines(X0,line_connecting(sk0,sk1)), inference(resolution, [status(thm)], [p144, p494])).
% 29.43/4.53  fof(sdef78, definition, (spl78 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | distinct_lines(X0,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl78])], [avatar_definition])).
% 29.43/4.53  cnf(ssp89, plain, (spl1 | spl71 | spl78), inference(avatar_split_clause, [status(thm)], [p986, sdef1, sdef71, sdef78])).
% 29.43/4.53  cnf(p988, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | distinct_lines(line_connecting(sk0,sk2),X0), inference(resolution, [status(thm)], [p144, p494])).
% 29.43/4.53  cnf(ssp90, plain, (spl0 | spl70 | spl75), inference(avatar_split_clause, [status(thm)], [p988, sdef0, sdef70, sdef75])).
% 29.43/4.53  cnf(p989, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | distinct_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p144, p332])).
% 29.43/4.53  fof(sdef79, definition, (spl79 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | distinct_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl79])], [avatar_definition])).
% 29.43/4.53  cnf(ssp91, plain, (spl1 | spl71 | spl79), inference(avatar_split_clause, [status(thm)], [p989, sdef1, sdef71, sdef79])).
% 29.43/4.53  cnf(p991, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk1)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | distinct_lines(X1,line_connecting(sk0,sk2)) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p144, p332])).
% 29.43/4.53  fof(sdef80, definition, (spl80 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | distinct_lines(X1,line_connecting(sk0,sk2)) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl80])], [avatar_definition])).
% 29.43/4.53  cnf(ssp92, plain, (spl0 | spl70 | spl80), inference(avatar_split_clause, [status(thm)], [p991, sdef0, sdef70, sdef80])).
% 29.43/4.53  cnf(p993, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | distinct_lines(X0,line_connecting(sk0,sk2)) | distinct_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p144, p332])).
% 29.43/4.53  cnf(ssp93, plain, (spl72 | spl76), inference(avatar_split_clause, [status(thm)], [p993, sdef72, sdef76])).
% 29.43/4.53  cnf(p994, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk1)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p144, p410])).
% 29.43/4.53  fof(sdef81, definition, (spl81 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl81])], [avatar_definition])).
% 29.43/4.53  cnf(ssp94, plain, (spl0 | spl70 | spl81), inference(avatar_split_clause, [status(thm)], [p994, sdef0, sdef70, sdef81])).
% 29.43/4.53  cnf(p996, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk2)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | convergent_lines(X1,X0), inference(resolution, [status(thm)], [p144, p411])).
% 29.43/4.53  fof(sdef82, definition, (spl82 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl82])], [avatar_definition])).
% 29.43/4.53  cnf(ssp95, plain, (spl1 | spl71 | spl82), inference(avatar_split_clause, [status(thm)], [p996, sdef1, sdef71, sdef82])).
% 29.43/4.53  cnf(p998, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | convergent_lines(line_connecting(sk0,sk1),X0) | convergent_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p144, p412])).
% 29.43/4.53  fof(sdef83, definition, (spl83 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | convergent_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl83])], [avatar_definition])).
% 29.43/4.53  fof(sdef84, definition, (spl84 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | convergent_lines(line_connecting(sk0,sk2),X0))), introduced(definition, [new_symbols(naming, [spl84])], [avatar_definition])).
% 29.43/4.53  cnf(ssp96, plain, (spl83 | spl84), inference(avatar_split_clause, [status(thm)], [p998, sdef83, sdef84])).
% 29.43/4.53  cnf(p1001, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk2)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | convergent_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p144, p485])).
% 29.43/4.53  fof(sdef85, definition, (spl85 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | convergent_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk1),X1))), introduced(definition, [new_symbols(naming, [spl85])], [avatar_definition])).
% 29.43/4.53  cnf(ssp97, plain, (spl1 | spl71 | spl85), inference(avatar_split_clause, [status(thm)], [p1001, sdef1, sdef71, sdef85])).
% 29.43/4.53  cnf(p1003, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk1)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | distinct_lines(line_connecting(sk0,sk2),X1) | convergent_lines(X1,X0), inference(resolution, [status(thm)], [p144, p485])).
% 29.43/4.53  fof(sdef86, definition, (spl86 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | distinct_lines(line_connecting(sk0,sk2),X1) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl86])], [avatar_definition])).
% 29.43/4.53  cnf(ssp98, plain, (spl0 | spl70 | spl86), inference(avatar_split_clause, [status(thm)], [p1003, sdef0, sdef70, sdef86])).
% 29.43/4.53  cnf(p1005, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk2)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p144, p486])).
% 29.43/4.53  fof(sdef87, definition, (spl87 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl87])], [avatar_definition])).
% 29.43/4.53  cnf(ssp99, plain, (spl1 | spl71 | spl87), inference(avatar_split_clause, [status(thm)], [p1005, sdef1, sdef71, sdef87])).
% 29.43/4.53  cnf(p1007, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | distinct_lines(line_connecting(sk0,sk2),X0) | convergent_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p144, p486])).
% 29.43/4.53  cnf(ssp100, plain, (spl75 | spl83), inference(avatar_split_clause, [status(thm)], [p1007, sdef75, sdef83])).
% 29.43/4.53  cnf(p1008, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk2)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | distinct_lines(X1,line_connecting(sk0,sk1)) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p144, p497])).
% 29.43/4.53  fof(sdef88, definition, (spl88 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | distinct_lines(X1,line_connecting(sk0,sk1)) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl88])], [avatar_definition])).
% 29.43/4.53  cnf(ssp101, plain, (spl1 | spl71 | spl88), inference(avatar_split_clause, [status(thm)], [p1008, sdef1, sdef71, sdef88])).
% 29.43/4.53  cnf(p1010, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | distinct_lines(X0,line_connecting(sk0,sk1)) | distinct_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p144, p497])).
% 29.43/4.53  cnf(ssp102, plain, (spl75 | spl78), inference(avatar_split_clause, [status(thm)], [p1010, sdef75, sdef78])).
% 29.43/4.53  cnf(p1011, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk1)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | distinct_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p144, p498])).
% 29.43/4.53  fof(sdef89, definition, (spl89 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | distinct_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl89])], [avatar_definition])).
% 29.43/4.53  cnf(ssp103, plain, (spl0 | spl70 | spl89), inference(avatar_split_clause, [status(thm)], [p1011, sdef0, sdef70, sdef89])).
% 29.43/4.53  cnf(p1013, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk1)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | convergent_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p144, p586])).
% 29.43/4.53  fof(sdef90, definition, (spl90 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | convergent_lines(X0,X1) | distinct_lines(line_connecting(sk0,sk2),X1))), introduced(definition, [new_symbols(naming, [spl90])], [avatar_definition])).
% 29.43/4.53  cnf(ssp104, plain, (spl0 | spl70 | spl90), inference(avatar_split_clause, [status(thm)], [p1013, sdef0, sdef70, sdef90])).
% 29.43/4.53  cnf(p1015, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk2)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | convergent_lines(X1,X0) | distinct_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p144, p586])).
% 29.43/4.53  fof(sdef91, definition, (spl91 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | convergent_lines(X1,X0) | distinct_lines(line_connecting(sk0,sk1),X1))), introduced(definition, [new_symbols(naming, [spl91])], [avatar_definition])).
% 29.43/4.53  cnf(ssp105, plain, (spl1 | spl71 | spl91), inference(avatar_split_clause, [status(thm)], [p1015, sdef1, sdef71, sdef91])).
% 29.43/4.53  cnf(p1017, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk1)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p144, p587])).
% 29.43/4.53  fof(sdef92, definition, (spl92 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl92])], [avatar_definition])).
% 29.43/4.53  cnf(ssp106, plain, (spl0 | spl70 | spl92), inference(avatar_split_clause, [status(thm)], [p1017, sdef0, sdef70, sdef92])).
% 29.43/4.53  cnf(p1019, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | convergent_lines(line_connecting(sk0,sk2),X1) | distinct_lines(line_connecting(sk0,sk1),X0), inference(resolution, [status(thm)], [p144, p587])).
% 29.43/4.53  cnf(ssp107, plain, (spl72 | spl84), inference(avatar_split_clause, [status(thm)], [p1019, sdef72, sdef84])).
% 29.43/4.53  cnf(p1020, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk2)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p144, p597])).
% 29.43/4.53  fof(sdef93, definition, (spl93 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | convergent_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl93])], [avatar_definition])).
% 29.43/4.53  cnf(ssp108, plain, (spl1 | spl71 | spl93), inference(avatar_split_clause, [status(thm)], [p1020, sdef1, sdef71, sdef93])).
% 29.43/4.53  cnf(p1022, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk1)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | convergent_lines(X1,line_connecting(sk0,sk2)) | convergent_lines(X1,X0), inference(resolution, [status(thm)], [p144, p612])).
% 29.43/4.53  fof(sdef94, definition, (spl94 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | convergent_lines(X1,line_connecting(sk0,sk2)) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl94])], [avatar_definition])).
% 29.43/4.53  cnf(ssp109, plain, (spl0 | spl70 | spl94), inference(avatar_split_clause, [status(thm)], [p1022, sdef0, sdef70, sdef94])).
% 29.43/4.53  cnf(p1024, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | convergent_lines(X0,line_connecting(sk0,sk2)) | convergent_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p144, p613])).
% 29.43/4.53  fof(sdef95, definition, (spl95 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | convergent_lines(X0,line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl95])], [avatar_definition])).
% 29.43/4.53  cnf(ssp110, plain, (spl83 | spl95), inference(avatar_split_clause, [status(thm)], [p1024, sdef83, sdef95])).
% 29.43/4.53  cnf(p1026, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk1)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | distinct_lines(X1,line_connecting(sk0,sk2)) | convergent_lines(X1,X0), inference(resolution, [status(thm)], [p144, p631])).
% 29.43/4.53  fof(sdef96, definition, (spl96 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | distinct_lines(X1,line_connecting(sk0,sk2)) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl96])], [avatar_definition])).
% 29.43/4.53  cnf(ssp111, plain, (spl0 | spl70 | spl96), inference(avatar_split_clause, [status(thm)], [p1026, sdef0, sdef70, sdef96])).
% 29.43/4.53  cnf(p1028, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | distinct_lines(X0,line_connecting(sk0,sk2)) | convergent_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p144, p632])).
% 29.43/4.53  cnf(ssp112, plain, (spl76 | spl83), inference(avatar_split_clause, [status(thm)], [p1028, sdef76, sdef83])).
% 29.43/4.53  cnf(p1029, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk1)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | convergent_lines(X1,line_connecting(sk0,sk2)) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p144, p664])).
% 29.43/4.53  fof(sdef97, definition, (spl97 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | convergent_lines(X1,line_connecting(sk0,sk2)) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl97])], [avatar_definition])).
% 29.43/4.53  cnf(ssp113, plain, (spl0 | spl70 | spl97), inference(avatar_split_clause, [status(thm)], [p1029, sdef0, sdef70, sdef97])).
% 29.43/4.53  cnf(p1031, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | convergent_lines(X0,line_connecting(sk0,sk2)) | distinct_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p144, p664])).
% 29.43/4.53  cnf(ssp114, plain, (spl72 | spl95), inference(avatar_split_clause, [status(thm)], [p1031, sdef72, sdef95])).
% 29.43/4.53  cnf(p1032, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | convergent_lines(X0,line_connecting(sk0,sk1)) | convergent_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p144, p684])).
% 29.43/4.53  fof(sdef98, definition, (spl98 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | convergent_lines(X0,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl98])], [avatar_definition])).
% 29.43/4.53  cnf(ssp115, plain, (spl84 | spl98), inference(avatar_split_clause, [status(thm)], [p1032, sdef84, sdef98])).
% 29.43/4.53  cnf(p1034, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk2)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | convergent_lines(X1,line_connecting(sk0,sk1)) | convergent_lines(X1,X0), inference(resolution, [status(thm)], [p144, p685])).
% 29.43/4.53  fof(sdef99, definition, (spl99 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | convergent_lines(X1,line_connecting(sk0,sk1)) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl99])], [avatar_definition])).
% 29.43/4.53  cnf(ssp116, plain, (spl1 | spl71 | spl99), inference(avatar_split_clause, [status(thm)], [p1034, sdef1, sdef71, sdef99])).
% 29.43/4.53  cnf(p1036, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | distinct_lines(X0,line_connecting(sk0,sk1)) | convergent_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p144, p717])).
% 29.43/4.53  cnf(ssp117, plain, (spl78 | spl84), inference(avatar_split_clause, [status(thm)], [p1036, sdef78, sdef84])).
% 29.43/4.53  cnf(p1037, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk2)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | distinct_lines(X1,line_connecting(sk0,sk1)) | convergent_lines(X1,X0), inference(resolution, [status(thm)], [p144, p718])).
% 29.43/4.53  fof(sdef100, definition, (spl100 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | distinct_lines(X1,line_connecting(sk0,sk1)) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl100])], [avatar_definition])).
% 29.43/4.53  cnf(ssp118, plain, (spl1 | spl71 | spl100), inference(avatar_split_clause, [status(thm)], [p1037, sdef1, sdef71, sdef100])).
% 29.43/4.53  cnf(p1039, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | convergent_lines(X0,line_connecting(sk0,sk1)) | distinct_lines(line_connecting(sk0,sk2),X1), inference(resolution, [status(thm)], [p144, p726])).
% 29.43/4.53  cnf(ssp119, plain, (spl75 | spl98), inference(avatar_split_clause, [status(thm)], [p1039, sdef75, sdef98])).
% 29.43/4.53  cnf(p1040, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk2)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | convergent_lines(X1,line_connecting(sk0,sk1)) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p144, p726])).
% 29.43/4.53  fof(sdef101, definition, (spl101 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | convergent_lines(X1,line_connecting(sk0,sk1)) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl101])], [avatar_definition])).
% 29.43/4.53  cnf(ssp120, plain, (spl1 | spl71 | spl101), inference(avatar_split_clause, [status(thm)], [p1040, sdef1, sdef71, sdef101])).
% 29.43/4.53  cnf(p1042, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk1)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | convergent_lines(X1,X0), inference(resolution, [status(thm)], [p144, p740])).
% 29.43/4.53  fof(sdef102, definition, (spl102 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | convergent_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl102])], [avatar_definition])).
% 29.43/4.53  cnf(ssp121, plain, (spl0 | spl70 | spl102), inference(avatar_split_clause, [status(thm)], [p1042, sdef0, sdef70, sdef102])).
% 29.43/4.53  cnf(p1044, plain, apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk1)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p144, p763])).
% 29.43/4.53  fof(sdef103, definition, (spl103 <=> (apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0) | convergent_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl103])], [avatar_definition])).
% 29.43/4.53  cnf(ssp122, plain, (spl0 | spl70 | spl103), inference(avatar_split_clause, [status(thm)], [p1044, sdef0, sdef70, sdef103])).
% 29.43/4.53  fof(f3, axiom, ! [X,Y,Z] : ( distinct_points(X,Y) => ( distinct_points(X,Z) | distinct_points(Y,Z) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart4)).
% 29.43/4.53  fof(f3_nnf, plain, ! [X,Y,Z] : ((~(distinct_points(X,Y)) | (distinct_points(X,Z) | distinct_points(Y,Z)))), inference(nnf_transformation, [status(thm)], [f3])).
% 29.43/4.53  fof(f3_sk, plain, ! [X,Y,Z] : ((~(distinct_points(X,Y)) | (distinct_points(X,Z) | distinct_points(Y,Z)))), inference(skolemisation, [status(esa)], [f3_nnf])).
% 29.43/4.53  cnf(c3, plain, ~distinct_points(X0,X1) | distinct_points(X0,X2) | distinct_points(X1,X2), inference(cnf_transformation, [status(esa)], [f3_sk])).
% 29.43/4.53  cnf(p19, plain, distinct_points(sk0,X0) | distinct_points(sk1,X0), inference(resolution, [status(thm)], [c3, c14])).
% 29.43/4.53  cnf(p145, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(sk0,X2), inference(resolution, [status(thm)], [c10, p19])).
% 29.43/4.53  cnf(p1063, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk0,X0), inference(resolution, [status(thm)], [p145, p18])).
% 29.43/4.53  cnf(ssp123, plain, (spl2 | spl3 | spl104), inference(avatar_split_clause, [status(thm)], [p1063, sdef2, sdef3, sdef104])).
% 29.43/4.53  cnf(p1065, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X0), inference(resolution, [status(thm)], [p145, p29])).
% 29.43/4.53  fof(sdef105, definition, (spl105 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl105])], [avatar_definition])).
% 29.43/4.53  cnf(ssp124, plain, (spl3 | spl105), inference(avatar_split_clause, [status(thm)], [p1065, sdef3, sdef105])).
% 29.43/4.53  cnf(p1067, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p145, p41])).
% 29.43/4.53  fof(sdef106, definition, (spl106 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl106])], [avatar_definition])).
% 29.43/4.53  cnf(ssp125, plain, (spl2 | spl106), inference(avatar_split_clause, [status(thm)], [p1067, sdef2, sdef106])).
% 29.43/4.53  cnf(p1069, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p145, p41])).
% 29.43/4.53  fof(sdef107, definition, (spl107 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl107])], [avatar_definition])).
% 29.43/4.53  cnf(ssp126, plain, (spl3 | spl107), inference(avatar_split_clause, [status(thm)], [p1069, sdef3, sdef107])).
% 29.43/4.53  cnf(p1072, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,line_connecting(sk0,sk2)), inference(resolution, [status(thm)], [p145, p328])).
% 29.43/4.53  fof(sdef108, definition, (spl108 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl108])], [avatar_definition])).
% 29.43/4.53  cnf(ssp127, plain, (spl2 | spl108), inference(avatar_split_clause, [status(thm)], [p1072, sdef2, sdef108])).
% 29.43/4.53  cnf(p1074, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk1),X2) | convergent_lines(X0,X2), inference(resolution, [status(thm)], [p145, p139])).
% 29.43/4.53  fof(sdef109, definition, (spl109 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk1),X2) | convergent_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl109])], [avatar_definition])).
% 29.43/4.53  cnf(ssp128, plain, (spl3 | spl109), inference(avatar_split_clause, [status(thm)], [p1074, sdef3, sdef109])).
% 29.43/4.53  cnf(p1076, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,line_connecting(sk0,sk1)), inference(resolution, [status(thm)], [p145, p494])).
% 29.43/4.53  fof(sdef110, definition, (spl110 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl110])], [avatar_definition])).
% 29.43/4.53  cnf(ssp129, plain, (spl3 | spl110), inference(avatar_split_clause, [status(thm)], [p1076, sdef3, sdef110])).
% 29.43/4.53  cnf(p1078, plain, apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk2),X0), inference(resolution, [status(thm)], [p145, p494])).
% 29.43/4.53  fof(sdef111, definition, (spl111 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk2),X0))), introduced(definition, [new_symbols(naming, [spl111])], [avatar_definition])).
% 29.43/4.53  cnf(ssp130, plain, (spl2 | spl111), inference(avatar_split_clause, [status(thm)], [p1078, sdef2, sdef111])).
% 29.43/4.53  cnf(p1080, plain, apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p145, p332])).
% 29.43/4.53  fof(sdef112, definition, (spl112 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl112])], [avatar_definition])).
% 29.43/4.53  cnf(ssp131, plain, (spl3 | spl112), inference(avatar_split_clause, [status(thm)], [p1080, sdef3, sdef112])).
% 29.43/4.53  cnf(p1082, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,line_connecting(sk0,sk2)) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p145, p332])).
% 29.43/4.53  fof(sdef113, definition, (spl113 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,line_connecting(sk0,sk2)) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl113])], [avatar_definition])).
% 29.43/4.53  cnf(ssp132, plain, (spl2 | spl113), inference(avatar_split_clause, [status(thm)], [p1082, sdef2, sdef113])).
% 29.43/4.53  cnf(p1085, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk2),X2) | convergent_lines(X0,X2), inference(resolution, [status(thm)], [p145, p410])).
% 29.43/4.53  fof(sdef114, definition, (spl114 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk2),X2) | convergent_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl114])], [avatar_definition])).
% 29.43/4.53  cnf(ssp133, plain, (spl2 | spl114), inference(avatar_split_clause, [status(thm)], [p1085, sdef2, sdef114])).
% 29.43/4.53  cnf(p1087, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk1),X2) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [p145, p411])).
% 29.43/4.53  fof(sdef115, definition, (spl115 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk1),X2) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl115])], [avatar_definition])).
% 29.43/4.53  cnf(ssp134, plain, (spl3 | spl115), inference(avatar_split_clause, [status(thm)], [p1087, sdef3, sdef115])).
% 29.43/4.53  cnf(p1090, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X0,X2) | distinct_lines(line_connecting(sk0,sk1),X2), inference(resolution, [status(thm)], [p145, p485])).
% 29.43/4.53  fof(sdef116, definition, (spl116 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X0,X2) | distinct_lines(line_connecting(sk0,sk1),X2))), introduced(definition, [new_symbols(naming, [spl116])], [avatar_definition])).
% 29.43/4.53  cnf(ssp135, plain, (spl3 | spl116), inference(avatar_split_clause, [status(thm)], [p1090, sdef3, sdef116])).
% 29.43/4.53  cnf(p1092, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk2),X2) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [p145, p485])).
% 29.43/4.53  fof(sdef117, definition, (spl117 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk2),X2) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl117])], [avatar_definition])).
% 29.43/4.53  cnf(ssp136, plain, (spl2 | spl117), inference(avatar_split_clause, [status(thm)], [p1092, sdef2, sdef117])).
% 29.43/4.53  cnf(p1094, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p145, p486])).
% 29.43/4.53  fof(sdef118, definition, (spl118 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl118])], [avatar_definition])).
% 29.43/4.53  cnf(ssp137, plain, (spl3 | spl118), inference(avatar_split_clause, [status(thm)], [p1094, sdef3, sdef118])).
% 29.43/4.53  cnf(p1097, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,line_connecting(sk0,sk1)) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p145, p497])).
% 29.43/4.53  fof(sdef119, definition, (spl119 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,line_connecting(sk0,sk1)) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl119])], [avatar_definition])).
% 29.43/4.53  cnf(ssp138, plain, (spl3 | spl119), inference(avatar_split_clause, [status(thm)], [p1097, sdef3, sdef119])).
% 29.43/4.53  cnf(p1100, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p145, p498])).
% 29.43/4.53  fof(sdef120, definition, (spl120 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl120])], [avatar_definition])).
% 29.43/4.53  cnf(ssp139, plain, (spl2 | spl120), inference(avatar_split_clause, [status(thm)], [p1100, sdef2, sdef120])).
% 29.43/4.53  cnf(p1102, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X0,X2) | distinct_lines(line_connecting(sk0,sk2),X2), inference(resolution, [status(thm)], [p145, p586])).
% 29.43/4.53  fof(sdef121, definition, (spl121 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X0,X2) | distinct_lines(line_connecting(sk0,sk2),X2))), introduced(definition, [new_symbols(naming, [spl121])], [avatar_definition])).
% 29.43/4.53  cnf(ssp140, plain, (spl2 | spl121), inference(avatar_split_clause, [status(thm)], [p1102, sdef2, sdef121])).
% 29.43/4.53  cnf(p1104, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,X0) | distinct_lines(line_connecting(sk0,sk1),X2), inference(resolution, [status(thm)], [p145, p586])).
% 29.43/4.53  fof(sdef122, definition, (spl122 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,X0) | distinct_lines(line_connecting(sk0,sk1),X2))), introduced(definition, [new_symbols(naming, [spl122])], [avatar_definition])).
% 29.43/4.53  cnf(ssp141, plain, (spl3 | spl122), inference(avatar_split_clause, [status(thm)], [p1104, sdef3, sdef122])).
% 29.43/4.53  cnf(p1106, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p145, p587])).
% 29.43/4.53  fof(sdef123, definition, (spl123 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl123])], [avatar_definition])).
% 29.43/4.53  cnf(ssp142, plain, (spl2 | spl123), inference(avatar_split_clause, [status(thm)], [p1106, sdef2, sdef123])).
% 29.43/4.53  cnf(p1109, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p145, p597])).
% 29.43/4.53  fof(sdef124, definition, (spl124 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl124])], [avatar_definition])).
% 29.43/4.53  cnf(ssp143, plain, (spl3 | spl124), inference(avatar_split_clause, [status(thm)], [p1109, sdef3, sdef124])).
% 29.43/4.53  cnf(p1111, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,line_connecting(sk0,sk2)) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [p145, p612])).
% 29.43/4.53  fof(sdef125, definition, (spl125 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,line_connecting(sk0,sk2)) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl125])], [avatar_definition])).
% 29.43/4.53  cnf(ssp144, plain, (spl2 | spl125), inference(avatar_split_clause, [status(thm)], [p1111, sdef2, sdef125])).
% 29.43/4.53  cnf(p1114, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,line_connecting(sk0,sk2)) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [p145, p631])).
% 29.43/4.53  fof(sdef126, definition, (spl126 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,line_connecting(sk0,sk2)) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl126])], [avatar_definition])).
% 29.43/4.53  cnf(ssp145, plain, (spl2 | spl126), inference(avatar_split_clause, [status(thm)], [p1114, sdef2, sdef126])).
% 29.43/4.53  cnf(p1117, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,line_connecting(sk0,sk2)) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p145, p664])).
% 29.43/4.53  fof(sdef127, definition, (spl127 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,line_connecting(sk0,sk2)) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl127])], [avatar_definition])).
% 29.43/4.53  cnf(ssp146, plain, (spl2 | spl127), inference(avatar_split_clause, [status(thm)], [p1117, sdef2, sdef127])).
% 29.43/4.53  cnf(p1121, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,line_connecting(sk0,sk1)) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [p145, p685])).
% 29.43/4.53  fof(sdef128, definition, (spl128 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,line_connecting(sk0,sk1)) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl128])], [avatar_definition])).
% 29.43/4.53  cnf(ssp147, plain, (spl3 | spl128), inference(avatar_split_clause, [status(thm)], [p1121, sdef3, sdef128])).
% 29.43/4.53  cnf(p1124, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,line_connecting(sk0,sk1)) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [p145, p718])).
% 29.43/4.53  fof(sdef129, definition, (spl129 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,line_connecting(sk0,sk1)) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl129])], [avatar_definition])).
% 29.43/4.53  cnf(ssp148, plain, (spl3 | spl129), inference(avatar_split_clause, [status(thm)], [p1124, sdef3, sdef129])).
% 29.43/4.53  cnf(p1127, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,line_connecting(sk0,sk1)) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p145, p726])).
% 29.43/4.53  fof(sdef130, definition, (spl130 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,line_connecting(sk0,sk1)) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl130])], [avatar_definition])).
% 29.43/4.53  cnf(ssp149, plain, (spl3 | spl130), inference(avatar_split_clause, [status(thm)], [p1127, sdef3, sdef130])).
% 29.43/4.53  cnf(p1129, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk2),X2) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [p145, p740])).
% 29.43/4.53  fof(sdef131, definition, (spl131 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk2),X2) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl131])], [avatar_definition])).
% 29.43/4.53  cnf(ssp150, plain, (spl2 | spl131), inference(avatar_split_clause, [status(thm)], [p1129, sdef2, sdef131])).
% 29.43/4.53  cnf(p1131, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p145, p763])).
% 29.43/4.53  fof(sdef132, definition, (spl132 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl132])], [avatar_definition])).
% 29.43/4.53  cnf(ssp151, plain, (spl2 | spl132), inference(avatar_split_clause, [status(thm)], [p1131, sdef2, sdef132])).
% 29.43/4.53  cnf(p20, plain, distinct_points(sk0,X0) | distinct_points(sk2,X0), inference(resolution, [status(thm)], [c3, c15])).
% 29.43/4.53  cnf(p146, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(sk0,X2), inference(resolution, [status(thm)], [c10, p20])).
% 29.43/4.53  cnf(p1150, plain, apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk0,X0), inference(resolution, [status(thm)], [p146, p18])).
% 29.43/4.53  cnf(ssp152, plain, (spl36 | spl37 | spl104), inference(avatar_split_clause, [status(thm)], [p1150, sdef36, sdef37, sdef104])).
% 29.43/4.53  cnf(p1151, plain, apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X0), inference(resolution, [status(thm)], [p146, p29])).
% 29.43/4.53  fof(sdef133, definition, (spl133 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl133])], [avatar_definition])).
% 29.43/4.53  cnf(ssp153, plain, (spl37 | spl133), inference(avatar_split_clause, [status(thm)], [p1151, sdef37, sdef133])).
% 29.43/4.53  cnf(p1153, plain, apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p146, p41])).
% 29.43/4.53  fof(sdef134, definition, (spl134 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl134])], [avatar_definition])).
% 29.43/4.53  cnf(ssp154, plain, (spl36 | spl134), inference(avatar_split_clause, [status(thm)], [p1153, sdef36, sdef134])).
% 29.43/4.53  cnf(p1155, plain, apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p146, p41])).
% 29.43/4.53  fof(sdef135, definition, (spl135 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl135])], [avatar_definition])).
% 29.43/4.53  cnf(ssp155, plain, (spl37 | spl135), inference(avatar_split_clause, [status(thm)], [p1155, sdef37, sdef135])).
% 29.43/4.53  cnf(p1158, plain, apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,line_connecting(sk0,sk2)), inference(resolution, [status(thm)], [p146, p328])).
% 29.43/4.53  fof(sdef136, definition, (spl136 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl136])], [avatar_definition])).
% 29.43/4.53  cnf(ssp156, plain, (spl36 | spl136), inference(avatar_split_clause, [status(thm)], [p1158, sdef36, sdef136])).
% 29.43/4.53  cnf(p1160, plain, apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk1),X2) | convergent_lines(X0,X2), inference(resolution, [status(thm)], [p146, p139])).
% 29.43/4.53  fof(sdef137, definition, (spl137 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk1),X2) | convergent_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl137])], [avatar_definition])).
% 29.43/4.53  cnf(ssp157, plain, (spl37 | spl137), inference(avatar_split_clause, [status(thm)], [p1160, sdef37, sdef137])).
% 29.43/4.53  cnf(p1162, plain, apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,line_connecting(sk0,sk1)), inference(resolution, [status(thm)], [p146, p494])).
% 29.43/4.53  fof(sdef138, definition, (spl138 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl138])], [avatar_definition])).
% 29.43/4.53  cnf(ssp158, plain, (spl37 | spl138), inference(avatar_split_clause, [status(thm)], [p1162, sdef37, sdef138])).
% 29.43/4.53  cnf(p1164, plain, apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk2),X0), inference(resolution, [status(thm)], [p146, p494])).
% 29.43/4.53  fof(sdef139, definition, (spl139 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk2),X0))), introduced(definition, [new_symbols(naming, [spl139])], [avatar_definition])).
% 29.43/4.53  cnf(ssp159, plain, (spl36 | spl139), inference(avatar_split_clause, [status(thm)], [p1164, sdef36, sdef139])).
% 29.43/4.53  cnf(p1166, plain, apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p146, p332])).
% 29.43/4.53  fof(sdef140, definition, (spl140 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl140])], [avatar_definition])).
% 29.43/4.53  cnf(ssp160, plain, (spl37 | spl140), inference(avatar_split_clause, [status(thm)], [p1166, sdef37, sdef140])).
% 29.43/4.53  cnf(p1168, plain, apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,line_connecting(sk0,sk2)) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p146, p332])).
% 29.43/4.53  fof(sdef141, definition, (spl141 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,line_connecting(sk0,sk2)) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl141])], [avatar_definition])).
% 29.43/4.53  cnf(ssp161, plain, (spl36 | spl141), inference(avatar_split_clause, [status(thm)], [p1168, sdef36, sdef141])).
% 29.43/4.53  cnf(p1171, plain, apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk2),X2) | convergent_lines(X0,X2), inference(resolution, [status(thm)], [p146, p410])).
% 29.43/4.53  fof(sdef142, definition, (spl142 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk2),X2) | convergent_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl142])], [avatar_definition])).
% 29.43/4.53  cnf(ssp162, plain, (spl36 | spl142), inference(avatar_split_clause, [status(thm)], [p1171, sdef36, sdef142])).
% 29.43/4.53  cnf(p1173, plain, apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk1),X2) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [p146, p411])).
% 29.43/4.53  fof(sdef143, definition, (spl143 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk1),X2) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl143])], [avatar_definition])).
% 29.43/4.53  cnf(ssp163, plain, (spl37 | spl143), inference(avatar_split_clause, [status(thm)], [p1173, sdef37, sdef143])).
% 29.43/4.53  cnf(p1176, plain, apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X0,X2) | distinct_lines(line_connecting(sk0,sk1),X2), inference(resolution, [status(thm)], [p146, p485])).
% 29.43/4.53  fof(sdef144, definition, (spl144 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X0,X2) | distinct_lines(line_connecting(sk0,sk1),X2))), introduced(definition, [new_symbols(naming, [spl144])], [avatar_definition])).
% 29.43/4.53  cnf(ssp164, plain, (spl37 | spl144), inference(avatar_split_clause, [status(thm)], [p1176, sdef37, sdef144])).
% 29.43/4.53  cnf(p1178, plain, apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk2),X2) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [p146, p485])).
% 29.43/4.53  fof(sdef145, definition, (spl145 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk2),X2) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl145])], [avatar_definition])).
% 29.43/4.53  cnf(ssp165, plain, (spl36 | spl145), inference(avatar_split_clause, [status(thm)], [p1178, sdef36, sdef145])).
% 29.43/4.53  cnf(p1180, plain, apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p146, p486])).
% 29.43/4.53  fof(sdef146, definition, (spl146 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl146])], [avatar_definition])).
% 29.43/4.53  cnf(ssp166, plain, (spl37 | spl146), inference(avatar_split_clause, [status(thm)], [p1180, sdef37, sdef146])).
% 29.43/4.53  cnf(p1183, plain, apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,line_connecting(sk0,sk1)) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p146, p497])).
% 29.43/4.53  fof(sdef147, definition, (spl147 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,line_connecting(sk0,sk1)) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl147])], [avatar_definition])).
% 29.43/4.53  cnf(ssp167, plain, (spl37 | spl147), inference(avatar_split_clause, [status(thm)], [p1183, sdef37, sdef147])).
% 29.43/4.53  cnf(p1186, plain, apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p146, p498])).
% 29.43/4.53  fof(sdef148, definition, (spl148 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl148])], [avatar_definition])).
% 29.43/4.53  cnf(ssp168, plain, (spl36 | spl148), inference(avatar_split_clause, [status(thm)], [p1186, sdef36, sdef148])).
% 29.43/4.53  cnf(p1188, plain, apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X0,X2) | distinct_lines(line_connecting(sk0,sk2),X2), inference(resolution, [status(thm)], [p146, p586])).
% 29.43/4.53  fof(sdef149, definition, (spl149 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X0,X2) | distinct_lines(line_connecting(sk0,sk2),X2))), introduced(definition, [new_symbols(naming, [spl149])], [avatar_definition])).
% 29.43/4.53  cnf(ssp169, plain, (spl36 | spl149), inference(avatar_split_clause, [status(thm)], [p1188, sdef36, sdef149])).
% 29.43/4.53  cnf(p1190, plain, apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,X0) | distinct_lines(line_connecting(sk0,sk1),X2), inference(resolution, [status(thm)], [p146, p586])).
% 29.43/4.53  fof(sdef150, definition, (spl150 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,X0) | distinct_lines(line_connecting(sk0,sk1),X2))), introduced(definition, [new_symbols(naming, [spl150])], [avatar_definition])).
% 29.43/4.53  cnf(ssp170, plain, (spl37 | spl150), inference(avatar_split_clause, [status(thm)], [p1190, sdef37, sdef150])).
% 29.43/4.53  cnf(p1192, plain, apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p146, p587])).
% 29.43/4.53  fof(sdef151, definition, (spl151 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl151])], [avatar_definition])).
% 29.43/4.53  cnf(ssp171, plain, (spl36 | spl151), inference(avatar_split_clause, [status(thm)], [p1192, sdef36, sdef151])).
% 29.43/4.53  cnf(p1195, plain, apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p146, p597])).
% 29.43/4.53  fof(sdef152, definition, (spl152 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl152])], [avatar_definition])).
% 29.43/4.53  cnf(ssp172, plain, (spl37 | spl152), inference(avatar_split_clause, [status(thm)], [p1195, sdef37, sdef152])).
% 29.43/4.53  cnf(p1197, plain, apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,line_connecting(sk0,sk2)) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [p146, p612])).
% 29.43/4.53  fof(sdef153, definition, (spl153 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,line_connecting(sk0,sk2)) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl153])], [avatar_definition])).
% 29.43/4.53  cnf(ssp173, plain, (spl36 | spl153), inference(avatar_split_clause, [status(thm)], [p1197, sdef36, sdef153])).
% 29.43/4.53  cnf(p1200, plain, apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,line_connecting(sk0,sk2)) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [p146, p631])).
% 29.43/4.53  fof(sdef154, definition, (spl154 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,line_connecting(sk0,sk2)) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl154])], [avatar_definition])).
% 29.43/4.53  cnf(ssp174, plain, (spl36 | spl154), inference(avatar_split_clause, [status(thm)], [p1200, sdef36, sdef154])).
% 29.43/4.53  cnf(p1203, plain, apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,line_connecting(sk0,sk2)) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p146, p664])).
% 29.43/4.53  fof(sdef155, definition, (spl155 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,line_connecting(sk0,sk2)) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl155])], [avatar_definition])).
% 29.43/4.53  cnf(ssp175, plain, (spl36 | spl155), inference(avatar_split_clause, [status(thm)], [p1203, sdef36, sdef155])).
% 29.43/4.53  cnf(p1207, plain, apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,line_connecting(sk0,sk1)) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [p146, p685])).
% 29.43/4.53  fof(sdef156, definition, (spl156 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,line_connecting(sk0,sk1)) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl156])], [avatar_definition])).
% 29.43/4.53  cnf(ssp176, plain, (spl37 | spl156), inference(avatar_split_clause, [status(thm)], [p1207, sdef37, sdef156])).
% 29.43/4.53  cnf(p1210, plain, apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,line_connecting(sk0,sk1)) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [p146, p718])).
% 29.43/4.53  fof(sdef157, definition, (spl157 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,line_connecting(sk0,sk1)) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl157])], [avatar_definition])).
% 29.43/4.53  cnf(ssp177, plain, (spl37 | spl157), inference(avatar_split_clause, [status(thm)], [p1210, sdef37, sdef157])).
% 29.43/4.53  cnf(p1213, plain, apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,line_connecting(sk0,sk1)) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p146, p726])).
% 29.43/4.53  fof(sdef158, definition, (spl158 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,line_connecting(sk0,sk1)) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl158])], [avatar_definition])).
% 29.43/4.53  cnf(ssp178, plain, (spl37 | spl158), inference(avatar_split_clause, [status(thm)], [p1213, sdef37, sdef158])).
% 29.43/4.53  cnf(p1215, plain, apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk2),X2) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [p146, p740])).
% 29.43/4.53  fof(sdef159, definition, (spl159 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk2),X2) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl159])], [avatar_definition])).
% 29.43/4.53  cnf(ssp179, plain, (spl36 | spl159), inference(avatar_split_clause, [status(thm)], [p1215, sdef36, sdef159])).
% 29.43/4.53  cnf(p1217, plain, apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p146, p763])).
% 29.43/4.53  fof(sdef160, definition, (spl160 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl160])], [avatar_definition])).
% 29.43/4.53  cnf(ssp180, plain, (spl36 | spl160), inference(avatar_split_clause, [status(thm)], [p1217, sdef36, sdef160])).
% 29.43/4.53  cnf(p794, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk2)) | ~spl3), inference(avatar_component_clause, [status(thm)], [sdef3])).
% 29.43/4.53  fof(f10, axiom, ! [X,Y,Z] : ( apart_point_and_line(X,Y) => ( distinct_lines(Y,Z) | apart_point_and_line(X,Z) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ceq2)).
% 29.43/4.53  fof(f10_nnf, plain, ! [X,Y,Z] : ((~(apart_point_and_line(X,Y)) | (distinct_lines(Y,Z) | apart_point_and_line(X,Z)))), inference(nnf_transformation, [status(thm)], [f10])).
% 29.43/4.53  fof(f10_sk, plain, ! [X,Y,Z] : ((~(apart_point_and_line(X,Y)) | (distinct_lines(Y,Z) | apart_point_and_line(X,Z)))), inference(skolemisation, [status(esa)], [f10_nnf])).
% 29.43/4.53  cnf(c12, plain, ~apart_point_and_line(X0,X1) | distinct_lines(X1,X2) | apart_point_and_line(X0,X2), inference(cnf_transformation, [status(esa)], [f10_sk])).
% 29.43/4.53  cnf(p963, plain, (distinct_lines(line_connecting(sk0,sk2),X0) | apart_point_and_line(sk1,X0) | ~spl3), inference(resolution, [status(thm)], [p794, c12])).
% 29.43/4.53  cnf(p1226, plain, (apart_point_and_line(sk1,X0) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | ~spl3), inference(resolution, [status(thm)], [p963, p143])).
% 29.43/4.53  fof(sdef161, definition, (spl161 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0))), introduced(definition, [new_symbols(naming, [spl161])], [avatar_definition])).
% 29.43/4.53  cnf(ssp181, plain, (~spl3 | spl1 | spl37 | spl161), inference(avatar_split_clause, [status(thm)], [p1226, sdef1, sdef37, sdef161])).
% 29.43/4.53  cnf(p1228, plain, (apart_point_and_line(sk1,X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk2)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | ~spl3), inference(resolution, [status(thm)], [p963, p144])).
% 29.43/4.53  fof(sdef162, definition, (spl162 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0))), introduced(definition, [new_symbols(naming, [spl162])], [avatar_definition])).
% 29.43/4.53  cnf(ssp182, plain, (~spl3 | spl1 | spl71 | spl162), inference(avatar_split_clause, [status(thm)], [p1228, sdef1, sdef71, sdef162])).
% 29.43/4.53  cnf(p1230, plain, (apart_point_and_line(sk1,X0) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | ~spl3), inference(resolution, [status(thm)], [p963, p146])).
% 29.43/4.53  fof(sdef163, definition, (spl163 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1))), introduced(definition, [new_symbols(naming, [spl163])], [avatar_definition])).
% 29.43/4.53  cnf(ssp183, plain, (~spl3 | spl37 | spl163), inference(avatar_split_clause, [status(thm)], [p1230, sdef37, sdef163])).
% 29.43/4.53  cnf(p22, plain, distinct_points(sk0,X0) | distinct_points(sk1,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p19, c3])).
% 29.43/4.53  cnf(p147, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(sk1,X3) | distinct_points(X2,X3), inference(resolution, [status(thm)], [c10, p22])).
% 29.43/4.53  cnf(p1240, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk1,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p147, p18])).
% 29.43/4.53  fof(sdef164, definition, (spl164 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk1,X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl164])], [avatar_definition])).
% 29.43/4.53  cnf(ssp184, plain, (spl0 | spl1 | spl164), inference(avatar_split_clause, [status(thm)], [p1240, sdef0, sdef1, sdef164])).
% 29.43/4.53  cnf(p1242, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk1),X0), inference(resolution, [status(thm)], [p147, p29])).
% 29.43/4.53  fof(sdef165, definition, (spl165 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl165])], [avatar_definition])).
% 29.43/4.53  cnf(ssp185, plain, (spl1 | spl165), inference(avatar_split_clause, [status(thm)], [p1242, sdef1, sdef165])).
% 29.43/4.53  cnf(p1244, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk2),X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p147, p41])).
% 29.43/4.53  fof(sdef166, definition, (spl166 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk2),X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl166])], [avatar_definition])).
% 29.43/4.53  cnf(ssp186, plain, (spl0 | spl166), inference(avatar_split_clause, [status(thm)], [p1244, sdef0, sdef166])).
% 29.43/4.53  cnf(p1246, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk1),X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p147, p41])).
% 29.43/4.53  fof(sdef167, definition, (spl167 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk1),X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl167])], [avatar_definition])).
% 29.43/4.53  cnf(ssp187, plain, (spl1 | spl167), inference(avatar_split_clause, [status(thm)], [p1246, sdef1, sdef167])).
% 29.43/4.53  cnf(p1249, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X0,line_connecting(sk0,sk2)), inference(resolution, [status(thm)], [p147, p328])).
% 29.43/4.53  fof(sdef168, definition, (spl168 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X0,line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl168])], [avatar_definition])).
% 29.43/4.53  cnf(ssp188, plain, (spl0 | spl168), inference(avatar_split_clause, [status(thm)], [p1249, sdef0, sdef168])).
% 29.43/4.53  cnf(p1251, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(line_connecting(sk0,sk1),X3) | convergent_lines(X0,X3), inference(resolution, [status(thm)], [p147, p139])).
% 29.43/4.53  fof(sdef169, definition, (spl169 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(line_connecting(sk0,sk1),X3) | convergent_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl169])], [avatar_definition])).
% 29.43/4.53  cnf(ssp189, plain, (spl1 | spl169), inference(avatar_split_clause, [status(thm)], [p1251, sdef1, sdef169])).
% 29.43/4.53  cnf(p1253, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X0,line_connecting(sk0,sk1)), inference(resolution, [status(thm)], [p147, p494])).
% 29.43/4.53  fof(sdef170, definition, (spl170 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X0,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl170])], [avatar_definition])).
% 29.43/4.53  cnf(ssp190, plain, (spl1 | spl170), inference(avatar_split_clause, [status(thm)], [p1253, sdef1, sdef170])).
% 29.43/4.53  cnf(p1255, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk2),X0), inference(resolution, [status(thm)], [p147, p494])).
% 29.43/4.53  fof(sdef171, definition, (spl171 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk2),X0))), introduced(definition, [new_symbols(naming, [spl171])], [avatar_definition])).
% 29.43/4.53  cnf(ssp191, plain, (spl0 | spl171), inference(avatar_split_clause, [status(thm)], [p1255, sdef0, sdef171])).
% 29.43/4.53  cnf(p1257, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk1),X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p147, p332])).
% 29.43/4.53  fof(sdef172, definition, (spl172 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk1),X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl172])], [avatar_definition])).
% 29.43/4.53  cnf(ssp192, plain, (spl1 | spl172), inference(avatar_split_clause, [status(thm)], [p1257, sdef1, sdef172])).
% 29.43/4.53  cnf(p1259, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,line_connecting(sk0,sk2)) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p147, p332])).
% 29.43/4.53  fof(sdef173, definition, (spl173 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,line_connecting(sk0,sk2)) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl173])], [avatar_definition])).
% 29.43/4.53  cnf(ssp193, plain, (spl0 | spl173), inference(avatar_split_clause, [status(thm)], [p1259, sdef0, sdef173])).
% 29.43/4.53  cnf(p1262, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(line_connecting(sk0,sk2),X3) | convergent_lines(X0,X3), inference(resolution, [status(thm)], [p147, p410])).
% 29.43/4.53  fof(sdef174, definition, (spl174 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(line_connecting(sk0,sk2),X3) | convergent_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl174])], [avatar_definition])).
% 29.43/4.53  cnf(ssp194, plain, (spl0 | spl174), inference(avatar_split_clause, [status(thm)], [p1262, sdef0, sdef174])).
% 29.43/4.53  cnf(p1264, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(line_connecting(sk0,sk1),X3) | convergent_lines(X3,X0), inference(resolution, [status(thm)], [p147, p411])).
% 29.43/4.53  fof(sdef175, definition, (spl175 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(line_connecting(sk0,sk1),X3) | convergent_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl175])], [avatar_definition])).
% 29.43/4.53  cnf(ssp195, plain, (spl1 | spl175), inference(avatar_split_clause, [status(thm)], [p1264, sdef1, sdef175])).
% 29.43/4.53  cnf(p1267, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X0,X3) | distinct_lines(line_connecting(sk0,sk1),X3), inference(resolution, [status(thm)], [p147, p485])).
% 29.43/4.53  fof(sdef176, definition, (spl176 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X0,X3) | distinct_lines(line_connecting(sk0,sk1),X3))), introduced(definition, [new_symbols(naming, [spl176])], [avatar_definition])).
% 29.43/4.53  cnf(ssp196, plain, (spl1 | spl176), inference(avatar_split_clause, [status(thm)], [p1267, sdef1, sdef176])).
% 29.43/4.53  cnf(p1269, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk2),X3) | convergent_lines(X3,X0), inference(resolution, [status(thm)], [p147, p485])).
% 29.43/4.53  fof(sdef177, definition, (spl177 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk2),X3) | convergent_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl177])], [avatar_definition])).
% 29.43/4.53  cnf(ssp197, plain, (spl0 | spl177), inference(avatar_split_clause, [status(thm)], [p1269, sdef0, sdef177])).
% 29.43/4.53  cnf(p1271, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(line_connecting(sk0,sk1),X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p147, p486])).
% 29.43/4.53  fof(sdef178, definition, (spl178 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(line_connecting(sk0,sk1),X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl178])], [avatar_definition])).
% 29.43/4.53  cnf(ssp198, plain, (spl1 | spl178), inference(avatar_split_clause, [status(thm)], [p1271, sdef1, sdef178])).
% 29.43/4.53  cnf(p1274, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,line_connecting(sk0,sk1)) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p147, p497])).
% 29.43/4.53  fof(sdef179, definition, (spl179 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,line_connecting(sk0,sk1)) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl179])], [avatar_definition])).
% 29.43/4.53  cnf(ssp199, plain, (spl1 | spl179), inference(avatar_split_clause, [status(thm)], [p1274, sdef1, sdef179])).
% 29.43/4.53  cnf(p1277, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk2),X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p147, p498])).
% 29.43/4.53  fof(sdef180, definition, (spl180 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk2),X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl180])], [avatar_definition])).
% 29.43/4.53  cnf(ssp200, plain, (spl0 | spl180), inference(avatar_split_clause, [status(thm)], [p1277, sdef0, sdef180])).
% 29.43/4.53  cnf(p1279, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X0,X3) | distinct_lines(line_connecting(sk0,sk2),X3), inference(resolution, [status(thm)], [p147, p586])).
% 29.43/4.53  fof(sdef181, definition, (spl181 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X0,X3) | distinct_lines(line_connecting(sk0,sk2),X3))), introduced(definition, [new_symbols(naming, [spl181])], [avatar_definition])).
% 29.43/4.53  cnf(ssp201, plain, (spl0 | spl181), inference(avatar_split_clause, [status(thm)], [p1279, sdef0, sdef181])).
% 29.43/4.53  cnf(p1281, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X3,X0) | distinct_lines(line_connecting(sk0,sk1),X3), inference(resolution, [status(thm)], [p147, p586])).
% 29.43/4.53  fof(sdef182, definition, (spl182 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X3,X0) | distinct_lines(line_connecting(sk0,sk1),X3))), introduced(definition, [new_symbols(naming, [spl182])], [avatar_definition])).
% 29.43/4.53  cnf(ssp202, plain, (spl1 | spl182), inference(avatar_split_clause, [status(thm)], [p1281, sdef1, sdef182])).
% 29.43/4.53  cnf(p1283, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(line_connecting(sk0,sk2),X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p147, p587])).
% 29.43/4.53  fof(sdef183, definition, (spl183 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(line_connecting(sk0,sk2),X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl183])], [avatar_definition])).
% 29.43/4.53  cnf(ssp203, plain, (spl0 | spl183), inference(avatar_split_clause, [status(thm)], [p1283, sdef0, sdef183])).
% 29.43/4.53  cnf(p1286, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(line_connecting(sk0,sk1),X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p147, p597])).
% 29.43/4.53  fof(sdef184, definition, (spl184 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(line_connecting(sk0,sk1),X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl184])], [avatar_definition])).
% 29.43/4.53  cnf(ssp204, plain, (spl1 | spl184), inference(avatar_split_clause, [status(thm)], [p1286, sdef1, sdef184])).
% 29.43/4.53  cnf(p1288, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X3,line_connecting(sk0,sk2)) | convergent_lines(X3,X0), inference(resolution, [status(thm)], [p147, p612])).
% 29.43/4.53  fof(sdef185, definition, (spl185 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X3,line_connecting(sk0,sk2)) | convergent_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl185])], [avatar_definition])).
% 29.43/4.53  cnf(ssp205, plain, (spl0 | spl185), inference(avatar_split_clause, [status(thm)], [p1288, sdef0, sdef185])).
% 29.43/4.53  cnf(p1291, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,line_connecting(sk0,sk2)) | convergent_lines(X3,X0), inference(resolution, [status(thm)], [p147, p631])).
% 29.43/4.53  fof(sdef186, definition, (spl186 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,line_connecting(sk0,sk2)) | convergent_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl186])], [avatar_definition])).
% 29.43/4.53  cnf(ssp206, plain, (spl0 | spl186), inference(avatar_split_clause, [status(thm)], [p1291, sdef0, sdef186])).
% 29.43/4.53  cnf(p1294, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X3,line_connecting(sk0,sk2)) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p147, p664])).
% 29.43/4.53  fof(sdef187, definition, (spl187 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X3,line_connecting(sk0,sk2)) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl187])], [avatar_definition])).
% 29.43/4.53  cnf(ssp207, plain, (spl0 | spl187), inference(avatar_split_clause, [status(thm)], [p1294, sdef0, sdef187])).
% 29.43/4.53  cnf(p1298, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X3,line_connecting(sk0,sk1)) | convergent_lines(X3,X0), inference(resolution, [status(thm)], [p147, p685])).
% 29.43/4.53  fof(sdef188, definition, (spl188 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X3,line_connecting(sk0,sk1)) | convergent_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl188])], [avatar_definition])).
% 29.43/4.53  cnf(ssp208, plain, (spl1 | spl188), inference(avatar_split_clause, [status(thm)], [p1298, sdef1, sdef188])).
% 29.43/4.53  cnf(p1301, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,line_connecting(sk0,sk1)) | convergent_lines(X3,X0), inference(resolution, [status(thm)], [p147, p718])).
% 29.43/4.53  fof(sdef189, definition, (spl189 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,line_connecting(sk0,sk1)) | convergent_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl189])], [avatar_definition])).
% 29.43/4.53  cnf(ssp209, plain, (spl1 | spl189), inference(avatar_split_clause, [status(thm)], [p1301, sdef1, sdef189])).
% 29.43/4.53  cnf(p1304, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X3,line_connecting(sk0,sk1)) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p147, p726])).
% 29.43/4.53  fof(sdef190, definition, (spl190 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X3,line_connecting(sk0,sk1)) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl190])], [avatar_definition])).
% 29.43/4.53  cnf(ssp210, plain, (spl1 | spl190), inference(avatar_split_clause, [status(thm)], [p1304, sdef1, sdef190])).
% 29.43/4.53  cnf(p1306, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(line_connecting(sk0,sk2),X3) | convergent_lines(X3,X0), inference(resolution, [status(thm)], [p147, p740])).
% 29.43/4.53  fof(sdef191, definition, (spl191 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(line_connecting(sk0,sk2),X3) | convergent_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl191])], [avatar_definition])).
% 29.43/4.53  cnf(ssp211, plain, (spl0 | spl191), inference(avatar_split_clause, [status(thm)], [p1306, sdef0, sdef191])).
% 29.43/4.53  cnf(p1308, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(line_connecting(sk0,sk2),X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p147, p763])).
% 29.43/4.53  fof(sdef192, definition, (spl192 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(line_connecting(sk0,sk2),X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl192])], [avatar_definition])).
% 29.43/4.53  cnf(ssp212, plain, (spl0 | spl192), inference(avatar_split_clause, [status(thm)], [p1308, sdef0, sdef192])).
% 29.43/4.53  cnf(p1310, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | apart_point_and_line(sk1,X0) | ~spl3), inference(resolution, [status(thm)], [p147, p963])).
% 29.43/4.53  fof(sdef193, definition, (spl193 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | apart_point_and_line(sk1,X0))), introduced(definition, [new_symbols(naming, [spl193])], [avatar_definition])).
% 29.43/4.53  cnf(ssp213, plain, (~spl3 | spl1 | spl193), inference(avatar_split_clause, [status(thm)], [p1310, sdef1, sdef193])).
% 29.43/4.53  cnf(p148, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(sk0,X3) | distinct_points(X3,X2), inference(resolution, [status(thm)], [c10, p22])).
% 29.43/4.53  cnf(p1326, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk0,X1) | distinct_points(X1,X0), inference(resolution, [status(thm)], [p148, p18])).
% 29.43/4.53  fof(sdef194, definition, (spl194 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk0,X1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl194])], [avatar_definition])).
% 29.43/4.53  cnf(ssp214, plain, (spl2 | spl3 | spl194), inference(avatar_split_clause, [status(thm)], [p1326, sdef2, sdef3, sdef194])).
% 29.43/4.53  cnf(p1328, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk1),X0), inference(resolution, [status(thm)], [p148, p29])).
% 29.43/4.53  fof(sdef195, definition, (spl195 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl195])], [avatar_definition])).
% 29.43/4.53  cnf(ssp215, plain, (spl3 | spl195), inference(avatar_split_clause, [status(thm)], [p1328, sdef3, sdef195])).
% 29.43/4.53  cnf(p1330, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk2),X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p148, p41])).
% 29.43/4.53  fof(sdef196, definition, (spl196 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk2),X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl196])], [avatar_definition])).
% 29.43/4.53  cnf(ssp216, plain, (spl2 | spl196), inference(avatar_split_clause, [status(thm)], [p1330, sdef2, sdef196])).
% 29.43/4.53  cnf(p1332, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk1),X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p148, p41])).
% 29.43/4.53  fof(sdef197, definition, (spl197 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk1),X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl197])], [avatar_definition])).
% 29.43/4.53  cnf(ssp217, plain, (spl3 | spl197), inference(avatar_split_clause, [status(thm)], [p1332, sdef3, sdef197])).
% 29.43/4.53  cnf(p1335, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(X0,line_connecting(sk0,sk2)), inference(resolution, [status(thm)], [p148, p328])).
% 29.43/4.53  fof(sdef198, definition, (spl198 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(X0,line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl198])], [avatar_definition])).
% 29.43/4.53  cnf(ssp218, plain, (spl2 | spl198), inference(avatar_split_clause, [status(thm)], [p1335, sdef2, sdef198])).
% 29.43/4.53  cnf(p1337, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(line_connecting(sk0,sk1),X3) | convergent_lines(X0,X3), inference(resolution, [status(thm)], [p148, p139])).
% 29.43/4.53  fof(sdef199, definition, (spl199 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(line_connecting(sk0,sk1),X3) | convergent_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl199])], [avatar_definition])).
% 29.43/4.53  cnf(ssp219, plain, (spl3 | spl199), inference(avatar_split_clause, [status(thm)], [p1337, sdef3, sdef199])).
% 29.43/4.53  cnf(p1339, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(X0,line_connecting(sk0,sk1)), inference(resolution, [status(thm)], [p148, p494])).
% 29.43/4.53  fof(sdef200, definition, (spl200 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(X0,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl200])], [avatar_definition])).
% 29.43/4.53  cnf(ssp220, plain, (spl3 | spl200), inference(avatar_split_clause, [status(thm)], [p1339, sdef3, sdef200])).
% 29.43/4.53  cnf(p1341, plain, apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk2),X0), inference(resolution, [status(thm)], [p148, p494])).
% 29.43/4.53  fof(sdef201, definition, (spl201 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk2),X0))), introduced(definition, [new_symbols(naming, [spl201])], [avatar_definition])).
% 29.43/4.53  cnf(ssp221, plain, (spl2 | spl201), inference(avatar_split_clause, [status(thm)], [p1341, sdef2, sdef201])).
% 29.43/4.53  cnf(p1343, plain, apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk1),X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p148, p332])).
% 29.43/4.53  fof(sdef202, definition, (spl202 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk1),X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl202])], [avatar_definition])).
% 29.43/4.53  cnf(ssp222, plain, (spl3 | spl202), inference(avatar_split_clause, [status(thm)], [p1343, sdef3, sdef202])).
% 29.43/4.53  cnf(p1345, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(X3,line_connecting(sk0,sk2)) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p148, p332])).
% 29.43/4.53  fof(sdef203, definition, (spl203 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(X3,line_connecting(sk0,sk2)) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl203])], [avatar_definition])).
% 29.43/4.53  cnf(ssp223, plain, (spl2 | spl203), inference(avatar_split_clause, [status(thm)], [p1345, sdef2, sdef203])).
% 29.43/4.53  cnf(p1348, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(line_connecting(sk0,sk2),X3) | convergent_lines(X0,X3), inference(resolution, [status(thm)], [p148, p410])).
% 29.43/4.53  fof(sdef204, definition, (spl204 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(line_connecting(sk0,sk2),X3) | convergent_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl204])], [avatar_definition])).
% 29.43/4.53  cnf(ssp224, plain, (spl2 | spl204), inference(avatar_split_clause, [status(thm)], [p1348, sdef2, sdef204])).
% 29.43/4.53  cnf(p1350, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(line_connecting(sk0,sk1),X3) | convergent_lines(X3,X0), inference(resolution, [status(thm)], [p148, p411])).
% 29.43/4.53  fof(sdef205, definition, (spl205 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(line_connecting(sk0,sk1),X3) | convergent_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl205])], [avatar_definition])).
% 29.43/4.53  cnf(ssp225, plain, (spl3 | spl205), inference(avatar_split_clause, [status(thm)], [p1350, sdef3, sdef205])).
% 29.43/4.53  cnf(p1353, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(X0,X3) | distinct_lines(line_connecting(sk0,sk1),X3), inference(resolution, [status(thm)], [p148, p485])).
% 29.43/4.53  fof(sdef206, definition, (spl206 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(X0,X3) | distinct_lines(line_connecting(sk0,sk1),X3))), introduced(definition, [new_symbols(naming, [spl206])], [avatar_definition])).
% 29.43/4.53  cnf(ssp226, plain, (spl3 | spl206), inference(avatar_split_clause, [status(thm)], [p1353, sdef3, sdef206])).
% 29.43/4.53  cnf(p1355, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk2),X3) | convergent_lines(X3,X0), inference(resolution, [status(thm)], [p148, p485])).
% 29.43/4.53  fof(sdef207, definition, (spl207 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk2),X3) | convergent_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl207])], [avatar_definition])).
% 29.43/4.53  cnf(ssp227, plain, (spl2 | spl207), inference(avatar_split_clause, [status(thm)], [p1355, sdef2, sdef207])).
% 29.43/4.53  cnf(p1357, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(line_connecting(sk0,sk1),X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p148, p486])).
% 29.43/4.53  fof(sdef208, definition, (spl208 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(line_connecting(sk0,sk1),X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl208])], [avatar_definition])).
% 29.43/4.53  cnf(ssp228, plain, (spl3 | spl208), inference(avatar_split_clause, [status(thm)], [p1357, sdef3, sdef208])).
% 29.43/4.53  cnf(p1360, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(X3,line_connecting(sk0,sk1)) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p148, p497])).
% 29.43/4.53  fof(sdef209, definition, (spl209 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(X3,line_connecting(sk0,sk1)) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl209])], [avatar_definition])).
% 29.43/4.53  cnf(ssp229, plain, (spl3 | spl209), inference(avatar_split_clause, [status(thm)], [p1360, sdef3, sdef209])).
% 29.43/4.53  cnf(p1363, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk2),X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p148, p498])).
% 29.43/4.53  fof(sdef210, definition, (spl210 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk2),X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl210])], [avatar_definition])).
% 29.43/4.53  cnf(ssp230, plain, (spl2 | spl210), inference(avatar_split_clause, [status(thm)], [p1363, sdef2, sdef210])).
% 29.43/4.53  cnf(p1365, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(X0,X3) | distinct_lines(line_connecting(sk0,sk2),X3), inference(resolution, [status(thm)], [p148, p586])).
% 29.43/4.53  fof(sdef211, definition, (spl211 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(X0,X3) | distinct_lines(line_connecting(sk0,sk2),X3))), introduced(definition, [new_symbols(naming, [spl211])], [avatar_definition])).
% 29.43/4.53  cnf(ssp231, plain, (spl2 | spl211), inference(avatar_split_clause, [status(thm)], [p1365, sdef2, sdef211])).
% 29.43/4.53  cnf(p1367, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(X3,X0) | distinct_lines(line_connecting(sk0,sk1),X3), inference(resolution, [status(thm)], [p148, p586])).
% 29.43/4.53  fof(sdef212, definition, (spl212 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(X3,X0) | distinct_lines(line_connecting(sk0,sk1),X3))), introduced(definition, [new_symbols(naming, [spl212])], [avatar_definition])).
% 29.43/4.53  cnf(ssp232, plain, (spl3 | spl212), inference(avatar_split_clause, [status(thm)], [p1367, sdef3, sdef212])).
% 29.43/4.53  cnf(p1369, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(line_connecting(sk0,sk2),X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p148, p587])).
% 29.43/4.53  fof(sdef213, definition, (spl213 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(line_connecting(sk0,sk2),X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl213])], [avatar_definition])).
% 29.43/4.53  cnf(ssp233, plain, (spl2 | spl213), inference(avatar_split_clause, [status(thm)], [p1369, sdef2, sdef213])).
% 29.43/4.53  cnf(p1372, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(line_connecting(sk0,sk1),X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p148, p597])).
% 29.43/4.53  fof(sdef214, definition, (spl214 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(line_connecting(sk0,sk1),X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl214])], [avatar_definition])).
% 29.43/4.53  cnf(ssp234, plain, (spl3 | spl214), inference(avatar_split_clause, [status(thm)], [p1372, sdef3, sdef214])).
% 29.43/4.53  cnf(p1374, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(X3,line_connecting(sk0,sk2)) | convergent_lines(X3,X0), inference(resolution, [status(thm)], [p148, p612])).
% 29.43/4.53  fof(sdef215, definition, (spl215 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(X3,line_connecting(sk0,sk2)) | convergent_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl215])], [avatar_definition])).
% 29.43/4.53  cnf(ssp235, plain, (spl2 | spl215), inference(avatar_split_clause, [status(thm)], [p1374, sdef2, sdef215])).
% 29.43/4.53  cnf(p1377, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(X3,line_connecting(sk0,sk2)) | convergent_lines(X3,X0), inference(resolution, [status(thm)], [p148, p631])).
% 29.43/4.53  fof(sdef216, definition, (spl216 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(X3,line_connecting(sk0,sk2)) | convergent_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl216])], [avatar_definition])).
% 29.43/4.53  cnf(ssp236, plain, (spl2 | spl216), inference(avatar_split_clause, [status(thm)], [p1377, sdef2, sdef216])).
% 29.43/4.53  cnf(p1380, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(X3,line_connecting(sk0,sk2)) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p148, p664])).
% 29.43/4.53  fof(sdef217, definition, (spl217 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(X3,line_connecting(sk0,sk2)) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl217])], [avatar_definition])).
% 29.43/4.53  cnf(ssp237, plain, (spl2 | spl217), inference(avatar_split_clause, [status(thm)], [p1380, sdef2, sdef217])).
% 29.43/4.53  cnf(p1384, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(X3,line_connecting(sk0,sk1)) | convergent_lines(X3,X0), inference(resolution, [status(thm)], [p148, p685])).
% 29.43/4.53  fof(sdef218, definition, (spl218 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(X3,line_connecting(sk0,sk1)) | convergent_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl218])], [avatar_definition])).
% 29.43/4.53  cnf(ssp238, plain, (spl3 | spl218), inference(avatar_split_clause, [status(thm)], [p1384, sdef3, sdef218])).
% 29.43/4.53  cnf(p1387, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(X3,line_connecting(sk0,sk1)) | convergent_lines(X3,X0), inference(resolution, [status(thm)], [p148, p718])).
% 29.43/4.53  fof(sdef219, definition, (spl219 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(X3,line_connecting(sk0,sk1)) | convergent_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl219])], [avatar_definition])).
% 29.43/4.53  cnf(ssp239, plain, (spl3 | spl219), inference(avatar_split_clause, [status(thm)], [p1387, sdef3, sdef219])).
% 29.43/4.53  cnf(p1390, plain, apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(X3,line_connecting(sk0,sk1)) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p148, p726])).
% 29.43/4.53  fof(sdef220, definition, (spl220 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(X3,line_connecting(sk0,sk1)) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl220])], [avatar_definition])).
% 29.43/4.53  cnf(ssp240, plain, (spl3 | spl220), inference(avatar_split_clause, [status(thm)], [p1390, sdef3, sdef220])).
% 29.43/4.53  cnf(p1392, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(line_connecting(sk0,sk2),X3) | convergent_lines(X3,X0), inference(resolution, [status(thm)], [p148, p740])).
% 29.43/4.53  fof(sdef221, definition, (spl221 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(line_connecting(sk0,sk2),X3) | convergent_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl221])], [avatar_definition])).
% 29.43/4.53  cnf(ssp241, plain, (spl2 | spl221), inference(avatar_split_clause, [status(thm)], [p1392, sdef2, sdef221])).
% 29.43/4.53  cnf(p1394, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(line_connecting(sk0,sk2),X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p148, p763])).
% 29.43/4.53  fof(sdef222, definition, (spl222 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | convergent_lines(line_connecting(sk0,sk2),X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl222])], [avatar_definition])).
% 29.43/4.53  cnf(ssp242, plain, (spl2 | spl222), inference(avatar_split_clause, [status(thm)], [p1394, sdef2, sdef222])).
% 29.43/4.53  cnf(p880, plain, (apart_point_and_line(sk2,line_connecting(sk0,sk1)) | ~spl36), inference(avatar_component_clause, [status(thm)], [sdef36])).
% 29.43/4.53  cnf(p1048, plain, (distinct_lines(line_connecting(sk0,sk1),X0) | apart_point_and_line(sk2,X0) | ~spl36), inference(resolution, [status(thm)], [p880, c12])).
% 29.43/4.53  cnf(p1397, plain, (apart_point_and_line(sk2,X0) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | ~spl36), inference(resolution, [status(thm)], [p1048, p142])).
% 29.43/4.53  cnf(ssp243, plain, (~spl36 | spl0 | spl2 | spl161), inference(avatar_split_clause, [status(thm)], [p1397, sdef0, sdef2, sdef161])).
% 29.43/4.53  cnf(p1398, plain, (apart_point_and_line(sk2,X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk1)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | ~spl36), inference(resolution, [status(thm)], [p1048, p144])).
% 29.43/4.53  fof(sdef223, definition, (spl223 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(sk0,X0))), introduced(definition, [new_symbols(naming, [spl223])], [avatar_definition])).
% 29.43/4.53  cnf(ssp244, plain, (~spl36 | spl0 | spl70 | spl223), inference(avatar_split_clause, [status(thm)], [p1398, sdef0, sdef70, sdef223])).
% 29.43/4.53  cnf(p1400, plain, (apart_point_and_line(sk2,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | ~spl36), inference(resolution, [status(thm)], [p1048, p145])).
% 29.43/4.53  fof(sdef224, definition, (spl224 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1))), introduced(definition, [new_symbols(naming, [spl224])], [avatar_definition])).
% 29.43/4.53  cnf(ssp245, plain, (~spl36 | spl2 | spl224), inference(avatar_split_clause, [status(thm)], [p1400, sdef2, sdef224])).
% 29.43/4.53  cnf(p1402, plain, (apart_point_and_line(sk2,X0) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | ~spl36), inference(resolution, [status(thm)], [p1048, p147])).
% 29.43/4.53  fof(sdef225, definition, (spl225 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2))), introduced(definition, [new_symbols(naming, [spl225])], [avatar_definition])).
% 29.43/4.53  cnf(ssp246, plain, (~spl36 | spl0 | spl225), inference(avatar_split_clause, [status(thm)], [p1402, sdef0, sdef225])).
% 29.43/4.53  cnf(p1404, plain, (apart_point_and_line(sk2,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | ~spl36), inference(resolution, [status(thm)], [p1048, p148])).
% 29.43/4.53  fof(sdef226, definition, (spl226 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1))), introduced(definition, [new_symbols(naming, [spl226])], [avatar_definition])).
% 29.43/4.53  cnf(ssp247, plain, (~spl36 | spl2 | spl226), inference(avatar_split_clause, [status(thm)], [p1404, sdef2, sdef226])).
% 29.43/4.53  cnf(p149, plain, ~distinct_lines(X0,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | apart_point_and_line(X3,X0) | apart_point_and_line(X3,X1) | distinct_points(sk0,X2) | distinct_points(sk1,X3), inference(resolution, [status(thm)], [c10, p22])).
% 29.43/4.53  cnf(p1414, plain, apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | distinct_points(sk0,X0) | distinct_points(sk1,X1), inference(resolution, [status(thm)], [p149, p18])).
% 29.43/4.53  fof(sdef227, definition, (spl227 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl227])], [avatar_definition])).
% 29.43/4.53  cnf(ssp248, plain, (spl104 | spl227), inference(avatar_split_clause, [status(thm)], [p1414, sdef104, sdef227])).
% 29.43/4.53  cnf(p24, plain, distinct_points(sk0,X0) | distinct_points(X0,sk1), inference(resolution, [status(thm)], [p22, c0])).
% 29.43/4.53  cnf(p150, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(X2,sk1), inference(resolution, [status(thm)], [c10, p24])).
% 29.43/4.53  cnf(p1463, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(X0,sk1), inference(resolution, [status(thm)], [p150, p18])).
% 29.43/4.53  fof(sdef228, definition, (spl228 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(X0,sk1))), introduced(definition, [new_symbols(naming, [spl228])], [avatar_definition])).
% 29.43/4.53  cnf(ssp249, plain, (spl0 | spl1 | spl228), inference(avatar_split_clause, [status(thm)], [p1463, sdef0, sdef1, sdef228])).
% 29.43/4.53  cnf(p1465, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(line_connecting(sk0,sk1),X0), inference(resolution, [status(thm)], [p150, p29])).
% 29.43/4.53  fof(sdef229, definition, (spl229 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl229])], [avatar_definition])).
% 29.43/4.53  cnf(ssp250, plain, (spl1 | spl229), inference(avatar_split_clause, [status(thm)], [p1465, sdef1, sdef229])).
% 29.43/4.53  cnf(p1467, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p150, p41])).
% 29.43/4.53  fof(sdef230, definition, (spl230 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl230])], [avatar_definition])).
% 29.43/4.53  cnf(ssp251, plain, (spl0 | spl230), inference(avatar_split_clause, [status(thm)], [p1467, sdef0, sdef230])).
% 29.43/4.53  cnf(p1469, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p150, p41])).
% 29.43/4.53  fof(sdef231, definition, (spl231 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl231])], [avatar_definition])).
% 29.43/4.53  cnf(ssp252, plain, (spl1 | spl231), inference(avatar_split_clause, [status(thm)], [p1469, sdef1, sdef231])).
% 29.43/4.53  cnf(p1472, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(X0,line_connecting(sk0,sk2)), inference(resolution, [status(thm)], [p150, p328])).
% 29.43/4.53  fof(sdef232, definition, (spl232 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(X0,line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl232])], [avatar_definition])).
% 29.43/4.53  cnf(ssp253, plain, (spl0 | spl232), inference(avatar_split_clause, [status(thm)], [p1472, sdef0, sdef232])).
% 29.43/4.53  cnf(p1474, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(line_connecting(sk0,sk1),X2) | convergent_lines(X0,X2), inference(resolution, [status(thm)], [p150, p139])).
% 29.43/4.53  fof(sdef233, definition, (spl233 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(line_connecting(sk0,sk1),X2) | convergent_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl233])], [avatar_definition])).
% 29.43/4.53  cnf(ssp254, plain, (spl1 | spl233), inference(avatar_split_clause, [status(thm)], [p1474, sdef1, sdef233])).
% 29.43/4.53  cnf(p1476, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(X0,line_connecting(sk0,sk1)), inference(resolution, [status(thm)], [p150, p494])).
% 29.43/4.53  fof(sdef234, definition, (spl234 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(X0,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl234])], [avatar_definition])).
% 29.43/4.53  cnf(ssp255, plain, (spl1 | spl234), inference(avatar_split_clause, [status(thm)], [p1476, sdef1, sdef234])).
% 29.43/4.53  cnf(p1478, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | distinct_points(X1,sk1) | distinct_lines(line_connecting(sk0,sk2),X0), inference(resolution, [status(thm)], [p150, p494])).
% 29.43/4.53  fof(sdef235, definition, (spl235 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | distinct_points(X1,sk1) | distinct_lines(line_connecting(sk0,sk2),X0))), introduced(definition, [new_symbols(naming, [spl235])], [avatar_definition])).
% 29.43/4.53  cnf(ssp256, plain, (spl0 | spl235), inference(avatar_split_clause, [status(thm)], [p1478, sdef0, sdef235])).
% 29.43/4.53  cnf(p1480, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | distinct_points(X1,sk1) | distinct_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p150, p332])).
% 29.43/4.53  fof(sdef236, definition, (spl236 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | distinct_points(X1,sk1) | distinct_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl236])], [avatar_definition])).
% 29.43/4.53  cnf(ssp257, plain, (spl1 | spl236), inference(avatar_split_clause, [status(thm)], [p1480, sdef1, sdef236])).
% 29.43/4.53  cnf(p1482, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(X2,line_connecting(sk0,sk2)) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p150, p332])).
% 29.43/4.53  fof(sdef237, definition, (spl237 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(X2,line_connecting(sk0,sk2)) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl237])], [avatar_definition])).
% 29.43/4.53  cnf(ssp258, plain, (spl0 | spl237), inference(avatar_split_clause, [status(thm)], [p1482, sdef0, sdef237])).
% 29.43/4.53  cnf(p1485, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(line_connecting(sk0,sk2),X2) | convergent_lines(X0,X2), inference(resolution, [status(thm)], [p150, p410])).
% 29.43/4.53  fof(sdef238, definition, (spl238 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(line_connecting(sk0,sk2),X2) | convergent_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl238])], [avatar_definition])).
% 29.43/4.53  cnf(ssp259, plain, (spl0 | spl238), inference(avatar_split_clause, [status(thm)], [p1485, sdef0, sdef238])).
% 29.43/4.53  cnf(p1487, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(line_connecting(sk0,sk1),X2) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [p150, p411])).
% 29.43/4.53  fof(sdef239, definition, (spl239 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(line_connecting(sk0,sk1),X2) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl239])], [avatar_definition])).
% 29.43/4.53  cnf(ssp260, plain, (spl1 | spl239), inference(avatar_split_clause, [status(thm)], [p1487, sdef1, sdef239])).
% 29.43/4.53  cnf(p1490, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(X0,X2) | distinct_lines(line_connecting(sk0,sk1),X2), inference(resolution, [status(thm)], [p150, p485])).
% 29.43/4.53  fof(sdef240, definition, (spl240 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(X0,X2) | distinct_lines(line_connecting(sk0,sk1),X2))), introduced(definition, [new_symbols(naming, [spl240])], [avatar_definition])).
% 29.43/4.53  cnf(ssp261, plain, (spl1 | spl240), inference(avatar_split_clause, [status(thm)], [p1490, sdef1, sdef240])).
% 29.43/4.53  cnf(p1492, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(line_connecting(sk0,sk2),X2) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [p150, p485])).
% 29.43/4.53  fof(sdef241, definition, (spl241 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(line_connecting(sk0,sk2),X2) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl241])], [avatar_definition])).
% 29.43/4.53  cnf(ssp262, plain, (spl0 | spl241), inference(avatar_split_clause, [status(thm)], [p1492, sdef0, sdef241])).
% 29.43/4.53  cnf(p1494, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p150, p486])).
% 29.43/4.53  fof(sdef242, definition, (spl242 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl242])], [avatar_definition])).
% 29.43/4.53  cnf(ssp263, plain, (spl1 | spl242), inference(avatar_split_clause, [status(thm)], [p1494, sdef1, sdef242])).
% 29.43/4.53  cnf(p1497, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(X2,line_connecting(sk0,sk1)) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p150, p497])).
% 29.43/4.53  fof(sdef243, definition, (spl243 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(X2,line_connecting(sk0,sk1)) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl243])], [avatar_definition])).
% 29.43/4.53  cnf(ssp264, plain, (spl1 | spl243), inference(avatar_split_clause, [status(thm)], [p1497, sdef1, sdef243])).
% 29.43/4.53  cnf(p1500, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p150, p498])).
% 29.43/4.53  fof(sdef244, definition, (spl244 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl244])], [avatar_definition])).
% 29.43/4.53  cnf(ssp265, plain, (spl0 | spl244), inference(avatar_split_clause, [status(thm)], [p1500, sdef0, sdef244])).
% 29.43/4.53  cnf(p1502, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(X0,X2) | distinct_lines(line_connecting(sk0,sk2),X2), inference(resolution, [status(thm)], [p150, p586])).
% 29.43/4.53  fof(sdef245, definition, (spl245 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(X0,X2) | distinct_lines(line_connecting(sk0,sk2),X2))), introduced(definition, [new_symbols(naming, [spl245])], [avatar_definition])).
% 29.43/4.53  cnf(ssp266, plain, (spl0 | spl245), inference(avatar_split_clause, [status(thm)], [p1502, sdef0, sdef245])).
% 29.43/4.53  cnf(p1504, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(X2,X0) | distinct_lines(line_connecting(sk0,sk1),X2), inference(resolution, [status(thm)], [p150, p586])).
% 29.43/4.53  fof(sdef246, definition, (spl246 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(X2,X0) | distinct_lines(line_connecting(sk0,sk1),X2))), introduced(definition, [new_symbols(naming, [spl246])], [avatar_definition])).
% 29.43/4.53  cnf(ssp267, plain, (spl1 | spl246), inference(avatar_split_clause, [status(thm)], [p1504, sdef1, sdef246])).
% 29.43/4.53  cnf(p1506, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p150, p587])).
% 29.43/4.53  fof(sdef247, definition, (spl247 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(line_connecting(sk0,sk2),X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl247])], [avatar_definition])).
% 29.43/4.53  cnf(ssp268, plain, (spl0 | spl247), inference(avatar_split_clause, [status(thm)], [p1506, sdef0, sdef247])).
% 29.43/4.53  cnf(p1509, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p150, p597])).
% 29.43/4.53  fof(sdef248, definition, (spl248 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(line_connecting(sk0,sk1),X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl248])], [avatar_definition])).
% 29.43/4.53  cnf(ssp269, plain, (spl1 | spl248), inference(avatar_split_clause, [status(thm)], [p1509, sdef1, sdef248])).
% 29.43/4.53  cnf(p1511, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(X2,line_connecting(sk0,sk2)) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [p150, p612])).
% 29.43/4.53  fof(sdef249, definition, (spl249 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(X2,line_connecting(sk0,sk2)) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl249])], [avatar_definition])).
% 29.43/4.53  cnf(ssp270, plain, (spl0 | spl249), inference(avatar_split_clause, [status(thm)], [p1511, sdef0, sdef249])).
% 29.43/4.53  cnf(p1514, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(X2,line_connecting(sk0,sk2)) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [p150, p631])).
% 29.43/4.53  fof(sdef250, definition, (spl250 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(X2,line_connecting(sk0,sk2)) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl250])], [avatar_definition])).
% 29.43/4.53  cnf(ssp271, plain, (spl0 | spl250), inference(avatar_split_clause, [status(thm)], [p1514, sdef0, sdef250])).
% 29.43/4.53  cnf(p1517, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(X2,line_connecting(sk0,sk2)) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p150, p664])).
% 29.43/4.53  fof(sdef251, definition, (spl251 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(X2,line_connecting(sk0,sk2)) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl251])], [avatar_definition])).
% 29.43/4.53  cnf(ssp272, plain, (spl0 | spl251), inference(avatar_split_clause, [status(thm)], [p1517, sdef0, sdef251])).
% 29.43/4.53  cnf(p1521, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(X2,line_connecting(sk0,sk1)) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [p150, p685])).
% 29.43/4.53  fof(sdef252, definition, (spl252 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(X2,line_connecting(sk0,sk1)) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl252])], [avatar_definition])).
% 29.43/4.53  cnf(ssp273, plain, (spl1 | spl252), inference(avatar_split_clause, [status(thm)], [p1521, sdef1, sdef252])).
% 29.43/4.53  cnf(p1524, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(X2,line_connecting(sk0,sk1)) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [p150, p718])).
% 29.43/4.53  fof(sdef253, definition, (spl253 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | distinct_lines(X2,line_connecting(sk0,sk1)) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl253])], [avatar_definition])).
% 29.43/4.53  cnf(ssp274, plain, (spl1 | spl253), inference(avatar_split_clause, [status(thm)], [p1524, sdef1, sdef253])).
% 29.43/4.53  cnf(p1527, plain, apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(X2,line_connecting(sk0,sk1)) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p150, p726])).
% 29.43/4.53  fof(sdef254, definition, (spl254 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(X2,line_connecting(sk0,sk1)) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl254])], [avatar_definition])).
% 29.43/4.53  cnf(ssp275, plain, (spl1 | spl254), inference(avatar_split_clause, [status(thm)], [p1527, sdef1, sdef254])).
% 29.43/4.53  cnf(p1529, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(line_connecting(sk0,sk2),X2) | convergent_lines(X2,X0), inference(resolution, [status(thm)], [p150, p740])).
% 29.43/4.53  fof(sdef255, definition, (spl255 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | convergent_lines(line_connecting(sk0,sk2),X2) | convergent_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl255])], [avatar_definition])).
% 29.43/4.53  cnf(ssp276, plain, (spl0 | spl255), inference(avatar_split_clause, [status(thm)], [p1529, sdef0, sdef255])).
% 29.43/4.53  cnf(p23, plain, distinct_points(sk0,X0) | distinct_points(sk2,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p20, c3])).
% 29.43/4.53  cnf(p152, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(sk0,X3) | distinct_points(X3,X2), inference(resolution, [status(thm)], [c10, p23])).
% 29.43/4.53  cnf(p1639, plain, apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk0,X1) | distinct_points(X1,X0), inference(resolution, [status(thm)], [p152, p18])).
% 29.43/4.53  cnf(ssp277, plain, (spl36 | spl37 | spl194), inference(avatar_split_clause, [status(thm)], [p1639, sdef36, sdef37, sdef194])).
% 29.43/4.53  cnf(p796, plain, (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl4), inference(avatar_component_clause, [status(thm)], [sdef4])).
% 29.43/4.53  cnf(p1884, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | ~spl4), inference(resolution, [status(thm)], [p796, c1])).
% 29.43/4.53  cnf(ssp278, plain, (~spl4 | spl0 | spl2), inference(avatar_split_clause, [status(thm)], [p1884, sdef0, sdef2])).
% 29.43/4.53  cnf(p802, plain, (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk2),X0) | ~spl7), inference(avatar_component_clause, [status(thm)], [sdef7])).
% 29.43/4.53  cnf(p1927, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | ~spl7), inference(resolution, [status(thm)], [p802, c1])).
% 29.43/4.53  cnf(ssp279, plain, (~spl7 | spl1 | spl3), inference(avatar_split_clause, [status(thm)], [p1927, sdef1, sdef3])).
% 29.43/4.53  cnf(p804, plain, (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X0,line_connecting(sk0,sk2)) | ~spl8), inference(avatar_component_clause, [status(thm)], [sdef8])).
% 29.43/4.53  cnf(p1942, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | ~spl8), inference(resolution, [status(thm)], [p804, c1])).
% 29.43/4.53  cnf(ssp280, plain, (~spl8 | spl1 | spl3), inference(avatar_split_clause, [status(thm)], [p1942, sdef1, sdef3])).
% 29.43/4.53  cnf(p808, plain, (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X0,line_connecting(sk0,sk1)) | ~spl10), inference(avatar_component_clause, [status(thm)], [sdef10])).
% 29.43/4.53  cnf(p1957, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | ~spl10), inference(resolution, [status(thm)], [p808, c1])).
% 29.43/4.53  cnf(ssp281, plain, (~spl10 | spl0 | spl2), inference(avatar_split_clause, [status(thm)], [p1957, sdef0, sdef2])).
% 29.43/4.53  cnf(p820, plain, (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(line_connecting(sk0,sk1),X0) | ~spl15), inference(avatar_component_clause, [status(thm)], [sdef15])).
% 29.43/4.53  cnf(p1958, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | ~spl15), inference(resolution, [status(thm)], [p820, c2])).
% 29.43/4.53  cnf(ssp282, plain, (~spl15 | spl0 | spl2), inference(avatar_split_clause, [status(thm)], [p1958, sdef0, sdef2])).
% 29.43/4.53  cnf(p821, plain, (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(line_connecting(sk0,sk2),X0) | ~spl16), inference(avatar_component_clause, [status(thm)], [sdef16])).
% 29.43/4.53  cnf(p2004, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | ~spl16), inference(resolution, [status(thm)], [p821, c2])).
% 29.43/4.53  cnf(ssp283, plain, (~spl16 | spl1 | spl3), inference(avatar_split_clause, [status(thm)], [p2004, sdef1, sdef3])).
% 29.43/4.53  cnf(p846, plain, (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(X0,line_connecting(sk0,sk2)) | ~spl27), inference(avatar_component_clause, [status(thm)], [sdef27])).
% 29.43/4.53  cnf(p2009, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | ~spl27), inference(resolution, [status(thm)], [p846, c2])).
% 29.43/4.53  cnf(ssp284, plain, (~spl27 | spl1 | spl3), inference(avatar_split_clause, [status(thm)], [p2009, sdef1, sdef3])).
% 29.43/4.53  cnf(p854, plain, (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(X0,line_connecting(sk0,sk1)) | ~spl30), inference(avatar_component_clause, [status(thm)], [sdef30])).
% 29.43/4.53  cnf(p2014, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | ~spl30), inference(resolution, [status(thm)], [p854, c2])).
% 29.43/4.53  cnf(ssp285, plain, (~spl30 | spl0 | spl2), inference(avatar_split_clause, [status(thm)], [p2014, sdef0, sdef2])).
% 29.43/4.53  cnf(p883, plain, (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl38), inference(avatar_component_clause, [status(thm)], [sdef38])).
% 29.43/4.53  cnf(p2015, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,line_connecting(sk0,sk1)) | ~spl38), inference(resolution, [status(thm)], [p883, c1])).
% 29.43/4.53  cnf(ssp286, plain, (~spl38 | spl0 | spl36), inference(avatar_split_clause, [status(thm)], [p2015, sdef0, sdef36])).
% 29.43/4.53  cnf(p28, plain, distinct_points(X0,sk1) | distinct_points(sk0,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p24, c3])).
% 29.43/4.53  cnf(p157, plain, ~distinct_lines(X0,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | apart_point_and_line(X3,X0) | apart_point_and_line(X3,X1) | distinct_points(X2,sk1) | distinct_points(sk0,X3), inference(resolution, [status(thm)], [c10, p28])).
% 29.43/4.53  cnf(p2031, plain, apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | distinct_points(X0,sk1) | distinct_points(sk0,X1), inference(resolution, [status(thm)], [p157, p18])).
% 29.43/4.53  cnf(ssp287, plain, (spl104 | spl228), inference(avatar_split_clause, [status(thm)], [p2031, sdef104, sdef228])).
% 29.43/4.53  cnf(p889, plain, (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | distinct_lines(line_connecting(sk0,sk2),X0) | ~spl41), inference(avatar_component_clause, [status(thm)], [sdef41])).
% 29.43/4.53  cnf(p2077, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | ~spl41), inference(resolution, [status(thm)], [p889, c1])).
% 29.43/4.53  cnf(ssp288, plain, (~spl41 | spl1 | spl37), inference(avatar_split_clause, [status(thm)], [p2077, sdef1, sdef37])).
% 29.43/4.53  cnf(p891, plain, (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | distinct_lines(X0,line_connecting(sk0,sk2)) | ~spl42), inference(avatar_component_clause, [status(thm)], [sdef42])).
% 29.43/4.53  cnf(p2078, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | ~spl42), inference(resolution, [status(thm)], [p891, c1])).
% 29.43/4.53  cnf(ssp289, plain, (~spl42 | spl1 | spl37), inference(avatar_split_clause, [status(thm)], [p2078, sdef1, sdef37])).
% 29.43/4.53  cnf(p895, plain, (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | distinct_lines(X0,line_connecting(sk0,sk1)) | ~spl44), inference(avatar_component_clause, [status(thm)], [sdef44])).
% 29.43/4.53  cnf(p2079, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,line_connecting(sk0,sk1)) | ~spl44), inference(resolution, [status(thm)], [p895, c1])).
% 29.43/4.53  cnf(ssp290, plain, (~spl44 | spl0 | spl36), inference(avatar_split_clause, [status(thm)], [p2079, sdef0, sdef36])).
% 29.43/4.53  cnf(p907, plain, (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(line_connecting(sk0,sk1),X0) | ~spl49), inference(avatar_component_clause, [status(thm)], [sdef49])).
% 29.43/4.53  cnf(p2096, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,line_connecting(sk0,sk1)) | ~spl49), inference(resolution, [status(thm)], [p907, c2])).
% 29.43/4.53  cnf(ssp291, plain, (~spl49 | spl0 | spl36), inference(avatar_split_clause, [status(thm)], [p2096, sdef0, sdef36])).
% 29.43/4.53  cnf(p908, plain, (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(line_connecting(sk0,sk2),X0) | ~spl50), inference(avatar_component_clause, [status(thm)], [sdef50])).
% 29.43/4.53  cnf(p2147, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | ~spl50), inference(resolution, [status(thm)], [p908, c2])).
% 29.43/4.53  cnf(ssp292, plain, (~spl50 | spl1 | spl37), inference(avatar_split_clause, [status(thm)], [p2147, sdef1, sdef37])).
% 29.43/4.53  cnf(p933, plain, (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(X0,line_connecting(sk0,sk2)) | ~spl61), inference(avatar_component_clause, [status(thm)], [sdef61])).
% 29.43/4.53  cnf(p2148, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | ~spl61), inference(resolution, [status(thm)], [p933, c2])).
% 29.43/4.53  cnf(ssp293, plain, (~spl61 | spl1 | spl37), inference(avatar_split_clause, [status(thm)], [p2148, sdef1, sdef37])).
% 29.43/4.53  cnf(p941, plain, (apart_point_and_line(sk0,X0) | apart_point_and_line(sk2,X0) | convergent_lines(X0,line_connecting(sk0,sk1)) | ~spl64), inference(avatar_component_clause, [status(thm)], [sdef64])).
% 29.43/4.53  cnf(p2149, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk2,line_connecting(sk0,sk1)) | ~spl64), inference(resolution, [status(thm)], [p941, c2])).
% 29.43/4.53  cnf(ssp294, plain, (~spl64 | spl0 | spl36), inference(avatar_split_clause, [status(thm)], [p2149, sdef0, sdef36])).
% 29.43/4.53  cnf(p1225, plain, (apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk2),X1) | distinct_lines(X0,X1) | ~spl3), inference(resolution, [status(thm)], [p963, c4])).
% 29.43/4.53  cnf(p2513, plain, (apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk2),X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,X1) | ~spl3), inference(resolution, [status(thm)], [p1225, p143])).
% 29.43/4.53  cnf(ssp295, plain, (~spl3 | spl41 | spl161), inference(avatar_split_clause, [status(thm)], [p2513, sdef41, sdef161])).
% 29.43/4.53  cnf(p2515, plain, (apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk2),X1) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | ~spl3), inference(resolution, [status(thm)], [p1225, p144])).
% 29.43/4.53  cnf(ssp296, plain, (~spl3 | spl75 | spl162), inference(avatar_split_clause, [status(thm)], [p2515, sdef75, sdef162])).
% 29.43/4.53  cnf(p35, plain, distinct_points(X0,sk1) | distinct_points(X0,sk0), inference(resolution, [status(thm)], [p28, c0])).
% 29.43/4.53  cnf(p39, plain, distinct_points(X0,sk0) | distinct_points(X0,X1) | distinct_points(sk1,X1), inference(resolution, [status(thm)], [p35, c3])).
% 29.43/4.53  cnf(p98, plain, distinct_points(X0,sk0) | distinct_points(sk1,X0), inference(resolution, [status(thm)], [p39, c0])).
% 29.43/4.53  cnf(p165, plain, ~distinct_lines(X0,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | distinct_points(sk1,X2), inference(resolution, [status(thm)], [c10, p98])).
% 29.43/4.53  cnf(p2674, plain, apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | distinct_points(sk1,X0), inference(resolution, [status(thm)], [p165, p18])).
% 29.43/4.53  cnf(ssp297, plain, (spl0 | spl1 | spl227), inference(avatar_split_clause, [status(thm)], [p2674, sdef0, sdef1, sdef227])).
% 29.43/4.53  cnf(p1396, plain, (apart_point_and_line(sk2,X0) | distinct_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X0,X1) | ~spl36), inference(resolution, [status(thm)], [p1048, c4])).
% 29.43/4.53  cnf(p2817, plain, (apart_point_and_line(sk2,X0) | distinct_lines(line_connecting(sk0,sk1),X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | ~spl36), inference(resolution, [status(thm)], [p1396, p142])).
% 29.43/4.53  cnf(ssp298, plain, (~spl36 | spl4 | spl161), inference(avatar_split_clause, [status(thm)], [p2817, sdef4, sdef161])).
% 29.43/4.53  cnf(p2819, plain, (apart_point_and_line(sk2,X0) | distinct_lines(line_connecting(sk0,sk1),X1) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | ~spl36), inference(resolution, [status(thm)], [p1396, p144])).
% 29.43/4.53  cnf(ssp299, plain, (~spl36 | spl72 | spl223), inference(avatar_split_clause, [status(thm)], [p2819, sdef72, sdef223])).
% 29.43/4.53  cnf(p21, plain, distinct_points(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X0) | distinct_points(sk0,X0), inference(resolution, [status(thm)], [c3, c17])).
% 29.43/4.53  cnf(p182, plain, distinct_points(sk0,X0) | ~distinct_lines(X1,X2) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X1) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),X2) | apart_point_and_line(X0,X1) | apart_point_and_line(X0,X2), inference(resolution, [status(thm)], [p21, c10])).
% 29.43/4.53  cnf(p3302, plain, distinct_points(sk0,X0) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk1)) | apart_point_and_line(intersection_point(line_connecting(sk0,sk1),line_connecting(sk0,sk2)),line_connecting(sk0,sk2)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)), inference(resolution, [status(thm)], [p182, p18])).
% 29.43/4.53  cnf(ssp300, plain, (spl70 | spl71 | spl104), inference(avatar_split_clause, [status(thm)], [p3302, sdef70, sdef71, sdef104])).
% 29.43/4.53  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, sct0, sct1, sct2, sct3, sct4, sct5, sct6])).
% 29.43/4.53  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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