FindProof---0.1.THM-Prf.s

%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : GEO175+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n016.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 01:17:16 PM UTC 2026

% Result   : Theorem 24.25s 3.85s
% Output   : Proof 24.25s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO175+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.58  % Computer : n016.cluster.edu
% 0.10/0.58  % Model    : x86_64 x86_64
% 0.10/0.58  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58  % Memory   : 8046.5625MB
% 0.10/0.58  % OS       : Linux 6.8.0-71-generic
% 0.10/0.58  % CPULimit : 300
% 0.10/0.58  % WCLimit  : 300
% 0.10/0.58  % DateTime : Wed Sep 23 11:21:27 UTC 2026
% 0.10/0.58  % CPUTime  : 
% 0.10/0.58  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 24.25/3.85  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.25/3.85  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.25/3.85  fof(sdef0, definition, (spl0 <=> (apart_point_and_line(sk0,sk2))), introduced(definition, [new_symbols(naming, [spl0])], [avatar_definition])).
% 24.25/3.85  cnf(p946, plain, (apart_point_and_line(sk0,sk2) | ~spl0), inference(avatar_component_clause, [status(thm)], [sdef0])).
% 24.25/3.85  fof(f12, conjecture, ! [X,Y,U,V] : ( ( distinct_points(X,Y) & convergent_lines(U,V) & distinct_points(X,intersection_point(U,V)) ) => ( apart_point_and_line(X,U) | apart_point_and_line(X,V) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 24.25/3.85  fof(f12_neg, negated_conjecture, ~(! [X,Y,U,V] : ( ( distinct_points(X,Y) & convergent_lines(U,V) & distinct_points(X,intersection_point(U,V)) ) => ( apart_point_and_line(X,U) | apart_point_and_line(X,V) ) )), inference(negated_conjecture, [status(cth)], [f12])).
% 24.25/3.85  fof(f12_nnf, plain, ? [X,Y,U,V] : ((((distinct_points(X,Y) & convergent_lines(U,V)) & distinct_points(X,intersection_point(U,V))) & (~(apart_point_and_line(X,U)) & ~(apart_point_and_line(X,V))))), inference(nnf_transformation, [status(thm)], [f12_neg])).
% 24.25/3.86  fof(f12_sk, plain, (((distinct_points(sk0,sk1) & convergent_lines(sk2,sk3)) & distinct_points(sk0,intersection_point(sk2,sk3))) & (~(apart_point_and_line(sk0,sk2)) & ~(apart_point_and_line(sk0,sk3)))), inference(skolemisation, [status(esa), new_symbols(skolem, [sk0,sk1,sk2,sk3])], [f12_nnf])).
% 24.25/3.86  cnf(c17, plain, ~apart_point_and_line(sk0,sk2), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 24.25/3.86  cnf(p1079, plain, ($false | ~spl0), inference(resolution, [status(thm)], [p946, c17])).
% 24.25/3.86  cnf(sct0, plain, (~spl0), inference(avatar_contradiction_clause, [status(thm)], [p1079])).
% 24.25/3.86  fof(sdef1, definition, (spl1 <=> (apart_point_and_line(sk0,sk3))), introduced(definition, [new_symbols(naming, [spl1])], [avatar_definition])).
% 24.25/3.86  cnf(p947, plain, (apart_point_and_line(sk0,sk3) | ~spl1), inference(avatar_component_clause, [status(thm)], [sdef1])).
% 24.25/3.86  cnf(c18, plain, ~apart_point_and_line(sk0,sk3), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 24.25/3.86  cnf(p1080, plain, ($false | ~spl1), inference(resolution, [status(thm)], [p947, c18])).
% 24.25/3.86  cnf(sct1, plain, (~spl1), inference(avatar_contradiction_clause, [status(thm)], [p1080])).
% 24.25/3.86  fof(sdef50, definition, (spl50 <=> (convergent_lines(sk2,sk2))), introduced(definition, [new_symbols(naming, [spl50])], [avatar_definition])).
% 24.25/3.86  cnf(p1093, plain, (convergent_lines(sk2,sk2) | ~spl50), inference(avatar_component_clause, [status(thm)], [sdef50])).
% 24.25/3.86  fof(f2, axiom, ! [X] : ~ convergent_lines(X,X), file('/export/starexec/sandbox/benchmark/theBenchmark.p', apart3)).
% 24.25/3.86  fof(f2_nnf, plain, ! [X] : (~(convergent_lines(X,X))), inference(nnf_transformation, [status(thm)], [f2])).
% 24.25/3.86  fof(f2_sk, plain, ! [X] : (~(convergent_lines(X,X))), inference(skolemisation, [status(esa)], [f2_nnf])).
% 24.25/3.86  cnf(c2, plain, ~convergent_lines(X0,X0), inference(cnf_transformation, [status(esa)], [f2_sk])).
% 24.25/3.86  cnf(p1241, plain, ($false | ~spl50), inference(resolution, [status(thm)], [p1093, c2])).
% 24.25/3.86  cnf(sct2, plain, (~spl50), inference(avatar_contradiction_clause, [status(thm)], [p1241])).
% 24.25/3.86  fof(sdef184, definition, (spl184 <=> (distinct_points(sk1,sk1))), introduced(definition, [new_symbols(naming, [spl184])], [avatar_definition])).
% 24.25/3.86  cnf(p1550, plain, (distinct_points(sk1,sk1) | ~spl184), inference(avatar_component_clause, [status(thm)], [sdef184])).
% 24.25/3.86  fof(f0, axiom, ! [X] : ~ distinct_points(X,X), file('/export/starexec/sandbox/benchmark/theBenchmark.p', apart1)).
% 24.25/3.86  fof(f0_nnf, plain, ! [X] : (~(distinct_points(X,X))), inference(nnf_transformation, [status(thm)], [f0])).
% 24.25/3.86  fof(f0_sk, plain, ! [X] : (~(distinct_points(X,X))), inference(skolemisation, [status(esa)], [f0_nnf])).
% 24.25/3.86  cnf(c0, plain, ~distinct_points(X0,X0), inference(cnf_transformation, [status(esa)], [f0_sk])).
% 24.25/3.86  cnf(p1592, plain, ($false | ~spl184), inference(resolution, [status(thm)], [p1550, c0])).
% 24.25/3.86  cnf(sct3, plain, (~spl184), inference(avatar_contradiction_clause, [status(thm)], [p1592])).
% 24.25/3.86  fof(sdef194, definition, (spl194 <=> (apart_point_and_line(sk0,line_connecting(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl194])], [avatar_definition])).
% 24.25/3.86  cnf(p1595, plain, (apart_point_and_line(sk0,line_connecting(sk1,sk0)) | ~spl194), inference(avatar_component_clause, [status(thm)], [sdef194])).
% 24.25/3.86  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/sandbox/benchmark/theBenchmark.p', con1)).
% 24.25/3.86  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])).
% 24.25/3.86  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])).
% 24.25/3.86  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])).
% 24.25/3.86  fof(f3, axiom, ! [X,Y,Z] : ( distinct_points(X,Y) => ( distinct_points(X,Z) | distinct_points(Y,Z) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', apart4)).
% 24.25/3.86  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])).
% 24.25/3.86  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])).
% 24.25/3.86  cnf(c3, plain, ~distinct_points(X0,X1) | distinct_points(X0,X2) | distinct_points(X1,X2), inference(cnf_transformation, [status(esa)], [f3_sk])).
% 24.25/3.86  cnf(c14, plain, distinct_points(sk0,sk1), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 24.25/3.86  cnf(p20, plain, distinct_points(sk0,X0) | distinct_points(sk1,X0), inference(resolution, [status(thm)], [c3, c14])).
% 24.25/3.86  cnf(p22, plain, distinct_points(sk0,X0) | distinct_points(sk1,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p20, c3])).
% 24.25/3.86  cnf(p24, plain, distinct_points(sk0,X0) | distinct_points(X0,sk1), inference(resolution, [status(thm)], [p22, c0])).
% 24.25/3.86  cnf(p29, plain, distinct_points(X0,sk1) | distinct_points(sk0,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p24, c3])).
% 24.25/3.86  cnf(p31, plain, distinct_points(X0,sk1) | distinct_points(X0,sk0), inference(resolution, [status(thm)], [p29, c0])).
% 24.25/3.86  cnf(p34, plain, distinct_points(sk1,sk0), inference(resolution, [status(thm)], [p31, c0])).
% 24.25/3.86  cnf(p73, plain, ~apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(X0,sk0), inference(resolution, [status(thm)], [c7, p34])).
% 24.25/3.86  cnf(p1740, plain, (distinct_points(sk0,sk0) | ~spl194), inference(resolution, [status(thm)], [p1595, p73])).
% 24.25/3.86  cnf(p1775, plain, ($false | ~spl194), inference(resolution, [status(thm)], [p1740, c0])).
% 24.25/3.86  cnf(sct4, plain, (~spl194), inference(avatar_contradiction_clause, [status(thm)], [p1775])).
% 24.25/3.86  fof(sdef195, definition, (spl195 <=> (apart_point_and_line(sk1,line_connecting(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl195])], [avatar_definition])).
% 24.25/3.86  cnf(p1596, plain, (apart_point_and_line(sk1,line_connecting(sk1,sk0)) | ~spl195), inference(avatar_component_clause, [status(thm)], [sdef195])).
% 24.25/3.86  cnf(c6, plain, ~distinct_points(X0,X1) | ~apart_point_and_line(X2,line_connecting(X0,X1)) | distinct_points(X2,X0), inference(cnf_transformation, [status(esa)], [f6_sk])).
% 24.25/3.86  cnf(p54, plain, ~apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(X0,sk1), inference(resolution, [status(thm)], [c6, p34])).
% 24.25/3.86  cnf(p1776, plain, (distinct_points(sk1,sk1) | ~spl195), inference(resolution, [status(thm)], [p1596, p54])).
% 24.25/3.86  cnf(p1800, plain, ($false | ~spl195), inference(resolution, [status(thm)], [p1776, c0])).
% 24.25/3.86  cnf(sct5, plain, (~spl195), inference(avatar_contradiction_clause, [status(thm)], [p1800])).
% 24.25/3.86  fof(sdef198, definition, (spl198 <=> (apart_point_and_line(sk0,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl198])], [avatar_definition])).
% 24.25/3.86  cnf(p1604, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | ~spl198), inference(avatar_component_clause, [status(thm)], [sdef198])).
% 24.25/3.86  cnf(p41, plain, ~apart_point_and_line(X0,line_connecting(sk0,sk1)) | distinct_points(X0,sk0), inference(resolution, [status(thm)], [c6, c14])).
% 24.25/3.86  cnf(p1887, plain, (distinct_points(sk0,sk0) | ~spl198), inference(resolution, [status(thm)], [p1604, p41])).
% 24.25/3.86  cnf(p1911, plain, ($false | ~spl198), inference(resolution, [status(thm)], [p1887, c0])).
% 24.25/3.86  cnf(sct6, plain, (~spl198), inference(avatar_contradiction_clause, [status(thm)], [p1911])).
% 24.25/3.86  fof(sdef199, definition, (spl199 <=> (apart_point_and_line(sk1,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl199])], [avatar_definition])).
% 24.25/3.86  cnf(p1605, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | ~spl199), inference(avatar_component_clause, [status(thm)], [sdef199])).
% 24.25/3.86  cnf(p60, plain, ~apart_point_and_line(X0,line_connecting(sk0,sk1)) | distinct_points(X0,sk1), inference(resolution, [status(thm)], [c7, c14])).
% 24.25/3.86  cnf(p1912, plain, (distinct_points(sk1,sk1) | ~spl199), inference(resolution, [status(thm)], [p1605, p60])).
% 24.25/3.86  cnf(p1936, plain, ($false | ~spl199), inference(resolution, [status(thm)], [p1912, c0])).
% 24.25/3.86  cnf(sct7, plain, (~spl199), inference(avatar_contradiction_clause, [status(thm)], [p1936])).
% 24.25/3.86  fof(sdef52, definition, (spl52 <=> (apart_point_and_line(intersection_point(sk2,sk3),sk2))), introduced(definition, [new_symbols(naming, [spl52])], [avatar_definition])).
% 24.25/3.86  cnf(p1110, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | ~spl52), inference(avatar_component_clause, [status(thm)], [sdef52])).
% 24.25/3.86  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/sandbox/benchmark/theBenchmark.p', con2)).
% 24.25/3.86  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])).
% 24.25/3.86  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])).
% 24.25/3.86  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])).
% 24.25/3.86  cnf(c15, plain, convergent_lines(sk2,sk3), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 24.25/3.86  cnf(p88, plain, ~apart_point_and_line(X0,sk2) | distinct_points(X0,intersection_point(sk2,sk3)), inference(resolution, [status(thm)], [c8, c15])).
% 24.25/3.86  cnf(p1383, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk3)) | ~spl52), inference(resolution, [status(thm)], [p1110, p88])).
% 24.25/3.86  cnf(p2419, plain, ($false | ~spl52), inference(resolution, [status(thm)], [p1383, c0])).
% 24.25/3.86  cnf(sct8, plain, (~spl52), inference(avatar_contradiction_clause, [status(thm)], [p2419])).
% 24.25/3.86  fof(sdef53, definition, (spl53 <=> (apart_point_and_line(intersection_point(sk2,sk3),sk3))), introduced(definition, [new_symbols(naming, [spl53])], [avatar_definition])).
% 24.25/3.86  cnf(p1111, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk3) | ~spl53), inference(avatar_component_clause, [status(thm)], [sdef53])).
% 24.25/3.86  cnf(c9, plain, ~convergent_lines(X0,X1) | ~apart_point_and_line(X2,X1) | distinct_points(X2,intersection_point(X0,X1)), inference(cnf_transformation, [status(esa)], [f7_sk])).
% 24.25/3.86  cnf(p107, plain, ~apart_point_and_line(X0,sk3) | distinct_points(X0,intersection_point(sk2,sk3)), inference(resolution, [status(thm)], [c9, c15])).
% 24.25/3.86  cnf(p1397, plain, (distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,sk3)) | ~spl53), inference(resolution, [status(thm)], [p1111, p107])).
% 24.25/3.86  cnf(p2420, plain, ($false | ~spl53), inference(resolution, [status(thm)], [p1397, c0])).
% 24.25/3.86  cnf(sct9, plain, (~spl53), inference(avatar_contradiction_clause, [status(thm)], [p2420])).
% 24.25/3.86  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/sandbox/benchmark/theBenchmark.p', cu1)).
% 24.25/3.86  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])).
% 24.25/3.86  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])).
% 24.25/3.86  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])).
% 24.25/3.86  cnf(p131, 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])).
% 24.25/3.86  fof(f11, axiom, ! [X,Y] : ( convergent_lines(X,Y) => distinct_lines(X,Y) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ceq3)).
% 24.25/3.86  fof(f11_nnf, plain, ! [X,Y] : ((~(convergent_lines(X,Y)) | distinct_lines(X,Y))), inference(nnf_transformation, [status(thm)], [f11])).
% 24.25/3.86  fof(f11_sk, plain, ! [X,Y] : ((~(convergent_lines(X,Y)) | distinct_lines(X,Y))), inference(skolemisation, [status(esa)], [f11_nnf])).
% 24.25/3.86  cnf(c13, plain, ~convergent_lines(X0,X1) | distinct_lines(X0,X1), inference(cnf_transformation, [status(esa)], [f11_sk])).
% 24.25/3.86  cnf(p19, plain, distinct_lines(sk2,sk3), inference(resolution, [status(thm)], [c13, c15])).
% 24.25/3.86  cnf(p945, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,sk3) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,sk3), inference(resolution, [status(thm)], [p131, p19])).
% 24.25/3.86  fof(sdef2, definition, (spl2 <=> (apart_point_and_line(sk1,sk2))), introduced(definition, [new_symbols(naming, [spl2])], [avatar_definition])).
% 24.25/3.86  fof(sdef3, definition, (spl3 <=> (apart_point_and_line(sk1,sk3))), introduced(definition, [new_symbols(naming, [spl3])], [avatar_definition])).
% 24.25/3.86  cnf(ssp0, plain, (spl0 | spl1 | spl2 | spl3), inference(avatar_split_clause, [status(thm)], [p945, sdef0, sdef1, sdef2, sdef3])).
% 24.25/3.86  fof(f4, axiom, ! [X,Y,Z] : ( distinct_lines(X,Y) => ( distinct_lines(X,Z) | distinct_lines(Y,Z) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', apart5)).
% 24.25/3.86  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])).
% 24.25/3.86  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])).
% 24.25/3.86  cnf(c4, plain, ~distinct_lines(X0,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(cnf_transformation, [status(esa)], [f4_sk])).
% 24.25/3.86  cnf(p28, plain, distinct_lines(sk2,X0) | distinct_lines(sk3,X0), inference(resolution, [status(thm)], [c4, p19])).
% 24.25/3.86  cnf(p950, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | distinct_lines(sk2,X0), inference(resolution, [status(thm)], [p131, p28])).
% 24.25/3.86  fof(sdef4, definition, (spl4 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl4])], [avatar_definition])).
% 24.25/3.86  cnf(ssp1, plain, (spl1 | spl3 | spl4), inference(avatar_split_clause, [status(thm)], [p950, sdef1, sdef3, sdef4])).
% 24.25/3.86  cnf(p30, plain, distinct_lines(sk2,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p28, c4])).
% 24.25/3.86  cnf(p952, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p131, p30])).
% 24.25/3.86  fof(sdef5, definition, (spl5 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl5])], [avatar_definition])).
% 24.25/3.86  cnf(ssp2, plain, (spl0 | spl2 | spl5), inference(avatar_split_clause, [status(thm)], [p952, sdef0, sdef2, sdef5])).
% 24.25/3.86  cnf(p954, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p131, p30])).
% 24.25/3.86  fof(sdef6, definition, (spl6 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl6])], [avatar_definition])).
% 24.25/3.86  cnf(ssp3, plain, (spl1 | spl3 | spl6), inference(avatar_split_clause, [status(thm)], [p954, sdef1, sdef3, sdef6])).
% 24.25/3.86  cnf(p956, 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(sk2,X0) | distinct_lines(sk3,X1), inference(resolution, [status(thm)], [p131, p30])).
% 24.25/3.86  fof(sdef7, definition, (spl7 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(sk3,X0))), introduced(definition, [new_symbols(naming, [spl7])], [avatar_definition])).
% 24.25/3.86  cnf(ssp4, plain, (spl4 | spl7), inference(avatar_split_clause, [status(thm)], [p956, sdef4, sdef7])).
% 24.25/3.86  fof(f1, axiom, ! [X] : ~ distinct_lines(X,X), file('/export/starexec/sandbox/benchmark/theBenchmark.p', apart2)).
% 24.25/3.86  fof(f1_nnf, plain, ! [X] : (~(distinct_lines(X,X))), inference(nnf_transformation, [status(thm)], [f1])).
% 24.25/3.86  fof(f1_sk, plain, ! [X] : (~(distinct_lines(X,X))), inference(skolemisation, [status(esa)], [f1_nnf])).
% 24.25/3.86  cnf(c1, plain, ~distinct_lines(X0,X0), inference(cnf_transformation, [status(esa)], [f1_sk])).
% 24.25/3.86  cnf(p55, plain, distinct_lines(sk2,X0) | distinct_lines(X0,sk3), inference(resolution, [status(thm)], [p30, c1])).
% 24.25/3.86  cnf(p958, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | distinct_lines(X0,sk3), inference(resolution, [status(thm)], [p131, p55])).
% 24.25/3.86  fof(sdef8, definition, (spl8 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X0,sk3))), introduced(definition, [new_symbols(naming, [spl8])], [avatar_definition])).
% 24.25/3.86  cnf(ssp5, plain, (spl0 | spl2 | spl8), inference(avatar_split_clause, [status(thm)], [p958, sdef0, sdef2, sdef8])).
% 24.25/3.86  fof(f5, axiom, ! [X,Y,Z] : ( convergent_lines(X,Y) => ( convergent_lines(X,Z) | convergent_lines(Y,Z) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', apart6)).
% 24.25/3.86  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])).
% 24.25/3.86  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])).
% 24.25/3.86  cnf(c5, plain, ~convergent_lines(X0,X1) | convergent_lines(X0,X2) | convergent_lines(X1,X2), inference(cnf_transformation, [status(esa)], [f5_sk])).
% 24.25/3.86  cnf(p36, plain, convergent_lines(sk2,X0) | convergent_lines(sk3,X0), inference(resolution, [status(thm)], [c5, c15])).
% 24.25/3.86  cnf(p37, plain, convergent_lines(sk2,X0) | distinct_lines(sk3,X0), inference(resolution, [status(thm)], [p36, c13])).
% 24.25/3.86  cnf(p40, plain, distinct_lines(sk3,X0) | convergent_lines(sk2,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p37, c5])).
% 24.25/3.86  cnf(p119, plain, distinct_lines(sk3,X0) | convergent_lines(X0,sk2), inference(resolution, [status(thm)], [p40, c2])).
% 24.25/3.86  cnf(p128, plain, distinct_lines(sk3,X0) | distinct_lines(X0,sk2), inference(resolution, [status(thm)], [p119, c13])).
% 24.25/3.86  cnf(p960, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | distinct_lines(X0,sk2), inference(resolution, [status(thm)], [p131, p128])).
% 24.25/3.86  fof(sdef9, definition, (spl9 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl9])], [avatar_definition])).
% 24.25/3.86  cnf(ssp6, plain, (spl1 | spl3 | spl9), inference(avatar_split_clause, [status(thm)], [p960, sdef1, sdef3, sdef9])).
% 24.25/3.86  cnf(p962, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,sk2) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,sk2) | distinct_lines(sk3,X0), inference(resolution, [status(thm)], [p131, p128])).
% 24.25/3.86  cnf(ssp7, plain, (spl0 | spl2 | spl7), inference(avatar_split_clause, [status(thm)], [p962, sdef0, sdef2, sdef7])).
% 24.25/3.86  cnf(p59, plain, distinct_lines(X0,sk3) | distinct_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p55, c4])).
% 24.25/3.86  cnf(p963, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,sk3) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,sk3) | distinct_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p131, p59])).
% 24.25/3.86  fof(sdef10, definition, (spl10 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl10])], [avatar_definition])).
% 24.25/3.86  cnf(ssp8, plain, (spl1 | spl3 | spl10), inference(avatar_split_clause, [status(thm)], [p963, sdef1, sdef3, sdef10])).
% 24.25/3.86  cnf(p965, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | distinct_lines(X1,sk3) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p131, p59])).
% 24.25/3.86  fof(sdef11, definition, (spl11 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X1,sk3) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl11])], [avatar_definition])).
% 24.25/3.86  cnf(ssp9, plain, (spl0 | spl2 | spl11), inference(avatar_split_clause, [status(thm)], [p965, sdef0, sdef2, sdef11])).
% 24.25/3.86  cnf(p967, 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,sk3) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p131, p59])).
% 24.25/3.86  cnf(ssp10, plain, (spl4 | spl8), inference(avatar_split_clause, [status(thm)], [p967, sdef4, sdef8])).
% 24.25/3.86  cnf(p38, plain, convergent_lines(sk2,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p36, c5])).
% 24.25/3.86  cnf(p94, plain, convergent_lines(sk2,X0) | convergent_lines(sk3,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p38, c13])).
% 24.25/3.86  cnf(p968, 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(sk2,X0) | convergent_lines(sk3,X1), inference(resolution, [status(thm)], [p131, p94])).
% 24.25/3.86  fof(sdef12, definition, (spl12 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl12])], [avatar_definition])).
% 24.25/3.86  fof(sdef13, definition, (spl13 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(sk3,X0))), introduced(definition, [new_symbols(naming, [spl13])], [avatar_definition])).
% 24.25/3.86  cnf(ssp11, plain, (spl12 | spl13), inference(avatar_split_clause, [status(thm)], [p968, sdef12, sdef13])).
% 24.25/3.86  cnf(p121, plain, distinct_lines(sk3,X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p40, c13])).
% 24.25/3.86  cnf(p971, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p131, p121])).
% 24.25/3.86  fof(sdef14, definition, (spl14 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl14])], [avatar_definition])).
% 24.25/3.86  cnf(ssp12, plain, (spl1 | spl3 | spl14), inference(avatar_split_clause, [status(thm)], [p971, sdef1, sdef3, sdef14])).
% 24.25/3.86  cnf(p973, 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(sk3,X0) | convergent_lines(sk2,X1), inference(resolution, [status(thm)], [p131, p121])).
% 24.25/3.86  cnf(ssp13, plain, (spl7 | spl12), inference(avatar_split_clause, [status(thm)], [p973, sdef7, sdef12])).
% 24.25/3.86  cnf(p146, plain, distinct_lines(X0,sk2) | distinct_lines(sk3,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p128, c4])).
% 24.25/3.86  cnf(p974, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p131, p146])).
% 24.25/3.86  fof(sdef15, definition, (spl15 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl15])], [avatar_definition])).
% 24.25/3.86  cnf(ssp14, plain, (spl1 | spl3 | spl15), inference(avatar_split_clause, [status(thm)], [p974, sdef1, sdef3, sdef15])).
% 24.25/3.86  cnf(p976, 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,sk2) | distinct_lines(sk3,X1), inference(resolution, [status(thm)], [p131, p146])).
% 24.25/3.86  cnf(ssp15, plain, (spl7 | spl9), inference(avatar_split_clause, [status(thm)], [p976, sdef7, sdef9])).
% 24.25/3.86  cnf(p147, plain, distinct_lines(sk3,X0) | distinct_lines(X0,X1) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p128, c4])).
% 24.25/3.86  cnf(p977, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | distinct_lines(sk3,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p131, p147])).
% 24.25/3.86  fof(sdef16, definition, (spl16 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(sk3,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl16])], [avatar_definition])).
% 24.25/3.86  cnf(ssp16, plain, (spl0 | spl2 | spl16), inference(avatar_split_clause, [status(thm)], [p977, sdef0, sdef2, sdef16])).
% 24.25/3.86  cnf(p92, plain, convergent_lines(sk3,X0) | convergent_lines(X1,X0) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p38, c13])).
% 24.25/3.86  cnf(p161, plain, convergent_lines(sk3,X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p92, c13])).
% 24.25/3.86  cnf(p979, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | convergent_lines(sk3,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p131, p161])).
% 24.25/3.86  fof(sdef17, definition, (spl17 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(sk3,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl17])], [avatar_definition])).
% 24.25/3.86  cnf(ssp17, plain, (spl0 | spl2 | spl17), inference(avatar_split_clause, [status(thm)], [p979, sdef0, sdef2, sdef17])).
% 24.25/3.86  cnf(p981, 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(sk3,X1) | distinct_lines(sk2,X0), inference(resolution, [status(thm)], [p131, p161])).
% 24.25/3.86  cnf(ssp18, plain, (spl4 | spl13), inference(avatar_split_clause, [status(thm)], [p981, sdef4, sdef13])).
% 24.25/3.86  cnf(p93, plain, convergent_lines(sk2,X0) | convergent_lines(X0,X1) | distinct_lines(sk3,X1), inference(resolution, [status(thm)], [p38, c13])).
% 24.25/3.86  cnf(p170, plain, convergent_lines(sk2,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p93, c13])).
% 24.25/3.86  cnf(p982, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | convergent_lines(sk2,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p131, p170])).
% 24.25/3.86  fof(sdef18, definition, (spl18 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(sk2,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl18])], [avatar_definition])).
% 24.25/3.86  cnf(ssp19, plain, (spl1 | spl3 | spl18), inference(avatar_split_clause, [status(thm)], [p982, sdef1, sdef3, sdef18])).
% 24.25/3.86  cnf(p91, plain, convergent_lines(sk2,X0) | convergent_lines(X0,sk3), inference(resolution, [status(thm)], [p38, c2])).
% 24.25/3.86  cnf(p103, plain, convergent_lines(X0,sk3) | convergent_lines(sk2,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p91, c5])).
% 24.25/3.86  cnf(p185, plain, convergent_lines(X0,sk3) | convergent_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p103, c13])).
% 24.25/3.86  cnf(p984, 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,sk3) | convergent_lines(sk2,X1), inference(resolution, [status(thm)], [p131, p185])).
% 24.25/3.86  fof(sdef19, definition, (spl19 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(X0,sk3))), introduced(definition, [new_symbols(naming, [spl19])], [avatar_definition])).
% 24.25/3.86  cnf(ssp20, plain, (spl12 | spl19), inference(avatar_split_clause, [status(thm)], [p984, sdef12, sdef19])).
% 24.25/3.86  cnf(p102, plain, convergent_lines(sk2,X0) | distinct_lines(X0,sk3), inference(resolution, [status(thm)], [p91, c13])).
% 24.25/3.86  cnf(p116, plain, distinct_lines(X0,sk3) | convergent_lines(sk2,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p102, c5])).
% 24.25/3.86  cnf(p235, plain, distinct_lines(X0,sk3) | convergent_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p116, c13])).
% 24.25/3.86  cnf(p986, 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,sk3) | convergent_lines(sk2,X1), inference(resolution, [status(thm)], [p131, p235])).
% 24.25/3.86  cnf(ssp21, plain, (spl8 | spl12), inference(avatar_split_clause, [status(thm)], [p986, sdef8, sdef12])).
% 24.25/3.86  cnf(p184, plain, convergent_lines(X0,sk3) | convergent_lines(X0,X1) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p103, c13])).
% 24.25/3.86  cnf(p290, plain, convergent_lines(X0,sk3) | distinct_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p184, c13])).
% 24.25/3.86  cnf(p987, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | convergent_lines(X1,sk3) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p131, p290])).
% 24.25/3.86  fof(sdef20, definition, (spl20 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(X1,sk3) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl20])], [avatar_definition])).
% 24.25/3.86  cnf(ssp22, plain, (spl0 | spl2 | spl20), inference(avatar_split_clause, [status(thm)], [p987, sdef0, sdef2, sdef20])).
% 24.25/3.86  cnf(p989, 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,sk3) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p131, p290])).
% 24.25/3.86  cnf(ssp23, plain, (spl4 | spl19), inference(avatar_split_clause, [status(thm)], [p989, sdef4, sdef19])).
% 24.25/3.86  cnf(p183, plain, convergent_lines(X0,sk3) | convergent_lines(X0,sk2), inference(resolution, [status(thm)], [p103, c2])).
% 24.25/3.86  cnf(p196, plain, convergent_lines(X0,sk2) | convergent_lines(X0,X1) | convergent_lines(sk3,X1), inference(resolution, [status(thm)], [p183, c5])).
% 24.25/3.86  cnf(p309, plain, convergent_lines(X0,sk2) | convergent_lines(sk3,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p196, c13])).
% 24.25/3.86  cnf(p990, 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,sk2) | convergent_lines(sk3,X1), inference(resolution, [status(thm)], [p131, p309])).
% 24.25/3.86  fof(sdef21, definition, (spl21 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl21])], [avatar_definition])).
% 24.25/3.86  cnf(ssp24, plain, (spl13 | spl21), inference(avatar_split_clause, [status(thm)], [p990, sdef13, sdef21])).
% 24.25/3.86  cnf(p297, plain, convergent_lines(X0,sk3) | distinct_lines(X0,sk2), inference(resolution, [status(thm)], [p185, c2])).
% 24.25/3.86  cnf(p305, plain, distinct_lines(X0,sk2) | convergent_lines(X0,X1) | convergent_lines(sk3,X1), inference(resolution, [status(thm)], [p297, c5])).
% 24.25/3.86  cnf(p374, plain, distinct_lines(X0,sk2) | convergent_lines(sk3,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p305, c13])).
% 24.25/3.86  cnf(p992, 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,sk2) | convergent_lines(sk3,X1), inference(resolution, [status(thm)], [p131, p374])).
% 24.25/3.86  cnf(ssp25, plain, (spl9 | spl13), inference(avatar_split_clause, [status(thm)], [p992, sdef9, sdef13])).
% 24.25/3.86  cnf(p382, plain, convergent_lines(X0,sk2) | distinct_lines(X0,X1) | distinct_lines(sk3,X1), inference(resolution, [status(thm)], [p309, c13])).
% 24.25/3.86  cnf(p993, 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,sk2) | distinct_lines(sk3,X1), inference(resolution, [status(thm)], [p131, p382])).
% 24.25/3.86  cnf(ssp26, plain, (spl7 | spl21), inference(avatar_split_clause, [status(thm)], [p993, sdef7, sdef21])).
% 24.25/3.86  cnf(p994, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | convergent_lines(X1,sk2) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p131, p382])).
% 24.25/3.86  fof(sdef22, definition, (spl22 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(X1,sk2) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl22])], [avatar_definition])).
% 24.25/3.86  cnf(ssp27, plain, (spl1 | spl3 | spl22), inference(avatar_split_clause, [status(thm)], [p994, sdef1, sdef3, sdef22])).
% 24.25/3.86  cnf(p308, plain, convergent_lines(X0,sk2) | convergent_lines(sk3,X0), inference(resolution, [status(thm)], [p196, c2])).
% 24.25/3.86  cnf(p336, plain, convergent_lines(sk3,X0) | convergent_lines(X0,X1) | convergent_lines(sk2,X1), inference(resolution, [status(thm)], [p308, c5])).
% 24.25/3.86  cnf(p404, plain, convergent_lines(sk3,X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p336, c13])).
% 24.25/3.86  cnf(p424, plain, convergent_lines(sk3,X0) | distinct_lines(X0,X1) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p404, c13])).
% 24.25/3.86  cnf(p996, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | convergent_lines(sk3,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p131, p424])).
% 24.25/3.86  fof(sdef23, definition, (spl23 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(sk3,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl23])], [avatar_definition])).
% 24.25/3.86  cnf(ssp28, plain, (spl0 | spl2 | spl23), inference(avatar_split_clause, [status(thm)], [p996, sdef0, sdef2, sdef23])).
% 24.25/3.86  cnf(p56, plain, distinct_lines(sk3,X0) | distinct_lines(X1,X0) | distinct_lines(sk2,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p30, c4])).
% 24.25/3.86  cnf(p998, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | distinct_lines(X1,X0) | distinct_lines(sk2,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p131, p56])).
% 24.25/3.86  fof(sdef24, definition, (spl24 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X1,X0) | distinct_lines(sk2,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl24])], [avatar_definition])).
% 24.25/3.86  cnf(ssp29, plain, (spl1 | spl3 | spl24), inference(avatar_split_clause, [status(thm)], [p998, sdef1, sdef3, sdef24])).
% 24.25/3.86  cnf(p1000, 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(sk3,X1) | distinct_lines(sk2,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p131, p56])).
% 24.25/3.86  cnf(ssp30, plain, (spl7 | spl10), inference(avatar_split_clause, [status(thm)], [p1000, sdef7, sdef10])).
% 24.25/3.86  cnf(p1001, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | distinct_lines(sk3,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p131, p56])).
% 24.25/3.86  fof(sdef25, definition, (spl25 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(sk3,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl25])], [avatar_definition])).
% 24.25/3.86  cnf(ssp31, plain, (spl0 | spl2 | spl25), inference(avatar_split_clause, [status(thm)], [p1001, sdef0, sdef2, sdef25])).
% 24.25/3.86  cnf(p1003, 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(sk3,X2) | distinct_lines(X0,X2) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p131, p56])).
% 24.25/3.86  cnf(ssp32, plain, (spl4 | spl5), inference(avatar_split_clause, [status(thm)], [p1003, sdef4, sdef5])).
% 24.25/3.86  cnf(p57, plain, distinct_lines(sk2,X0) | distinct_lines(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p30, c4])).
% 24.25/3.86  cnf(p1004, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | distinct_lines(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p131, p57])).
% 24.25/3.86  fof(sdef26, definition, (spl26 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl26])], [avatar_definition])).
% 24.25/3.86  cnf(ssp33, plain, (spl0 | spl2 | spl26), inference(avatar_split_clause, [status(thm)], [p1004, sdef0, sdef2, sdef26])).
% 24.25/3.86  cnf(p1006, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p131, p57])).
% 24.25/3.86  fof(sdef27, definition, (spl27 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl27])], [avatar_definition])).
% 24.25/3.86  cnf(ssp34, plain, (spl1 | spl3 | spl27), inference(avatar_split_clause, [status(thm)], [p1006, sdef1, sdef3, sdef27])).
% 24.25/3.86  cnf(p1008, 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(sk2,X2) | distinct_lines(X2,X0) | distinct_lines(sk3,X1), inference(resolution, [status(thm)], [p131, p57])).
% 24.25/3.86  cnf(ssp35, plain, (spl6 | spl7), inference(avatar_split_clause, [status(thm)], [p1008, sdef6, sdef7])).
% 24.25/3.86  cnf(p445, plain, distinct_lines(sk2,X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk3), inference(resolution, [status(thm)], [p57, c1])).
% 24.25/3.86  cnf(p1009, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk3), inference(resolution, [status(thm)], [p131, p445])).
% 24.25/3.86  fof(sdef28, definition, (spl28 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk3))), introduced(definition, [new_symbols(naming, [spl28])], [avatar_definition])).
% 24.25/3.86  cnf(ssp36, plain, (spl0 | spl2 | spl28), inference(avatar_split_clause, [status(thm)], [p1009, sdef0, sdef2, sdef28])).
% 24.25/3.86  cnf(p58, plain, distinct_lines(sk2,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p30, c4])).
% 24.25/3.86  cnf(p1011, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p131, p58])).
% 24.25/3.86  fof(sdef29, definition, (spl29 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl29])], [avatar_definition])).
% 24.25/3.86  cnf(ssp37, plain, (spl0 | spl2 | spl29), inference(avatar_split_clause, [status(thm)], [p1011, sdef0, sdef2, sdef29])).
% 24.25/3.86  cnf(p1013, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p131, p58])).
% 24.25/3.86  fof(sdef30, definition, (spl30 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl30])], [avatar_definition])).
% 24.25/3.86  cnf(ssp38, plain, (spl1 | spl3 | spl30), inference(avatar_split_clause, [status(thm)], [p1013, sdef1, sdef3, sdef30])).
% 24.25/3.86  cnf(p1015, 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(sk2,X0) | distinct_lines(sk3,X2) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p131, p58])).
% 24.25/3.86  cnf(ssp39, plain, (spl4 | spl16), inference(avatar_split_clause, [status(thm)], [p1015, sdef4, sdef16])).
% 24.25/3.86  cnf(p96, plain, convergent_lines(sk2,X0) | convergent_lines(X0,X1) | convergent_lines(sk3,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p38, c5])).
% 24.25/3.86  cnf(p507, plain, convergent_lines(sk2,X0) | convergent_lines(X0,X1) | convergent_lines(X1,sk3), inference(resolution, [status(thm)], [p96, c2])).
% 24.25/3.86  cnf(p520, plain, convergent_lines(X0,X1) | convergent_lines(X1,sk3) | distinct_lines(sk2,X0), inference(resolution, [status(thm)], [p507, c13])).
% 24.25/3.86  cnf(p530, plain, convergent_lines(X0,sk3) | distinct_lines(sk2,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p520, c13])).
% 24.25/3.86  cnf(p1016, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | convergent_lines(X1,sk3) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p131, p530])).
% 24.25/3.86  fof(sdef31, definition, (spl31 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(X1,sk3) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl31])], [avatar_definition])).
% 24.25/3.86  cnf(ssp40, plain, (spl0 | spl2 | spl31), inference(avatar_split_clause, [status(thm)], [p1016, sdef0, sdef2, sdef31])).
% 24.25/3.86  cnf(p122, plain, distinct_lines(sk3,X0) | convergent_lines(X0,X1) | convergent_lines(sk2,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p40, c5])).
% 24.25/3.86  cnf(p567, plain, distinct_lines(sk3,X0) | convergent_lines(X0,X1) | convergent_lines(X1,sk2), inference(resolution, [status(thm)], [p122, c2])).
% 24.25/3.86  cnf(p579, plain, distinct_lines(sk3,X0) | convergent_lines(X1,sk2) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p567, c13])).
% 24.25/3.86  cnf(p1018, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | convergent_lines(X1,sk2) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p131, p579])).
% 24.25/3.86  fof(sdef32, definition, (spl32 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(X1,sk2) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl32])], [avatar_definition])).
% 24.25/3.86  cnf(ssp41, plain, (spl1 | spl3 | spl32), inference(avatar_split_clause, [status(thm)], [p1018, sdef1, sdef3, sdef32])).
% 24.25/3.86  cnf(p585, plain, distinct_lines(sk3,X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk2), inference(resolution, [status(thm)], [p579, c13])).
% 24.25/3.86  cnf(p1020, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk2), inference(resolution, [status(thm)], [p131, p585])).
% 24.25/3.86  fof(sdef33, definition, (spl33 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk2))), introduced(definition, [new_symbols(naming, [spl33])], [avatar_definition])).
% 24.25/3.86  cnf(ssp42, plain, (spl1 | spl3 | spl33), inference(avatar_split_clause, [status(thm)], [p1020, sdef1, sdef3, sdef33])).
% 24.25/3.86  cnf(p149, plain, distinct_lines(X0,sk3) | distinct_lines(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p59, c4])).
% 24.25/3.86  cnf(p1022, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,sk3) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,sk3) | distinct_lines(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p131, p149])).
% 24.25/3.86  fof(sdef34, definition, (spl34 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl34])], [avatar_definition])).
% 24.25/3.86  cnf(ssp43, plain, (spl1 | spl3 | spl34), inference(avatar_split_clause, [status(thm)], [p1022, sdef1, sdef3, sdef34])).
% 24.25/3.86  cnf(p1024, 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,sk3) | distinct_lines(sk2,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p131, p149])).
% 24.25/3.86  cnf(ssp44, plain, (spl8 | spl10), inference(avatar_split_clause, [status(thm)], [p1024, sdef8, sdef10])).
% 24.25/3.86  cnf(p1025, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | distinct_lines(X1,sk3) | distinct_lines(X1,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p131, p149])).
% 24.25/3.86  fof(sdef35, definition, (spl35 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X1,sk3) | distinct_lines(X1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl35])], [avatar_definition])).
% 24.25/3.86  cnf(ssp45, plain, (spl0 | spl2 | spl35), inference(avatar_split_clause, [status(thm)], [p1025, sdef0, sdef2, sdef35])).
% 24.25/3.86  cnf(p1027, 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(X2,sk3) | distinct_lines(X2,X0) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p131, p149])).
% 24.25/3.86  cnf(ssp46, plain, (spl4 | spl11), inference(avatar_split_clause, [status(thm)], [p1027, sdef4, sdef11])).
% 24.25/3.86  cnf(p601, plain, distinct_lines(X0,sk3) | distinct_lines(X0,X1) | distinct_lines(X1,sk2), inference(resolution, [status(thm)], [p149, c1])).
% 24.25/3.86  cnf(p1028, 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,sk3) | distinct_lines(X1,sk2), inference(resolution, [status(thm)], [p131, p601])).
% 24.25/3.86  cnf(ssp47, plain, (spl8 | spl9), inference(avatar_split_clause, [status(thm)], [p1028, sdef8, sdef9])).
% 24.25/3.86  cnf(p150, plain, distinct_lines(X0,sk3) | distinct_lines(sk2,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p59, c4])).
% 24.25/3.86  cnf(p1029, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | distinct_lines(X1,sk3) | distinct_lines(X1,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p131, p150])).
% 24.25/3.86  fof(sdef36, definition, (spl36 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X1,sk3) | distinct_lines(X1,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl36])], [avatar_definition])).
% 24.25/3.86  cnf(ssp48, plain, (spl0 | spl2 | spl36), inference(avatar_split_clause, [status(thm)], [p1029, sdef0, sdef2, sdef36])).
% 24.25/3.86  cnf(p1031, 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,sk3) | distinct_lines(sk2,X2) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p131, p150])).
% 24.25/3.86  cnf(ssp49, plain, (spl6 | spl8), inference(avatar_split_clause, [status(thm)], [p1031, sdef6, sdef8])).
% 24.25/3.86  cnf(p176, plain, convergent_lines(sk2,X0) | convergent_lines(sk3,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p94, c4])).
% 24.25/3.86  cnf(p1032, 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(sk2,X0) | convergent_lines(sk3,X2) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p131, p176])).
% 24.25/3.86  cnf(ssp50, plain, (spl12 | spl23), inference(avatar_split_clause, [status(thm)], [p1032, sdef12, sdef23])).
% 24.25/3.86  cnf(p1033, 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(sk2,X2) | convergent_lines(sk3,X0) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p131, p176])).
% 24.25/3.86  cnf(ssp51, plain, (spl13 | spl18), inference(avatar_split_clause, [status(thm)], [p1033, sdef13, sdef18])).
% 24.25/3.86  cnf(p177, plain, convergent_lines(sk3,X0) | distinct_lines(X1,X0) | convergent_lines(sk2,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p94, c5])).
% 24.25/3.86  cnf(p1034, 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(sk3,X1) | convergent_lines(sk2,X2) | convergent_lines(X0,X2), inference(resolution, [status(thm)], [p131, p177])).
% 24.25/3.86  fof(sdef37, definition, (spl37 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(sk2,X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl37])], [avatar_definition])).
% 24.25/3.86  cnf(ssp52, plain, (spl13 | spl37), inference(avatar_split_clause, [status(thm)], [p1034, sdef13, sdef37])).
% 24.25/3.86  cnf(p178, plain, convergent_lines(sk2,X0) | distinct_lines(X0,X1) | convergent_lines(sk3,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p94, c5])).
% 24.25/3.86  cnf(p1036, 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(sk2,X0) | convergent_lines(sk3,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p131, p178])).
% 24.25/3.86  fof(sdef38, definition, (spl38 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl38])], [avatar_definition])).
% 24.25/3.86  cnf(ssp53, plain, (spl12 | spl38), inference(avatar_split_clause, [status(thm)], [p1036, sdef12, sdef38])).
% 24.25/3.86  cnf(p186, plain, convergent_lines(X0,sk3) | convergent_lines(X0,X1) | convergent_lines(sk2,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p103, c5])).
% 24.25/3.86  cnf(p678, plain, convergent_lines(X0,sk3) | convergent_lines(X0,X1) | convergent_lines(X1,sk2), inference(resolution, [status(thm)], [p186, c2])).
% 24.25/3.86  cnf(p693, plain, convergent_lines(X0,sk3) | convergent_lines(X1,sk2) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p678, c13])).
% 24.25/3.86  cnf(p1038, 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,sk3) | convergent_lines(X1,sk2), inference(resolution, [status(thm)], [p131, p693])).
% 24.25/3.86  cnf(ssp54, plain, (spl19 | spl21), inference(avatar_split_clause, [status(thm)], [p1038, sdef19, sdef21])).
% 24.25/3.86  cnf(p692, plain, convergent_lines(X0,X1) | convergent_lines(X1,sk2) | distinct_lines(X0,sk3), inference(resolution, [status(thm)], [p678, c13])).
% 24.25/3.86  cnf(p703, plain, convergent_lines(X0,sk2) | distinct_lines(X1,sk3) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p692, c13])).
% 24.25/3.86  cnf(p1039, 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(X1,sk2) | distinct_lines(X0,sk3), inference(resolution, [status(thm)], [p131, p703])).
% 24.25/3.86  cnf(ssp55, plain, (spl8 | spl21), inference(avatar_split_clause, [status(thm)], [p1039, sdef8, sdef21])).
% 24.25/3.86  cnf(p710, plain, convergent_lines(X0,sk3) | distinct_lines(X0,X1) | distinct_lines(X1,sk2), inference(resolution, [status(thm)], [p693, c13])).
% 24.25/3.86  cnf(p1040, 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,sk3) | distinct_lines(X1,sk2), inference(resolution, [status(thm)], [p131, p710])).
% 24.25/3.86  cnf(ssp56, plain, (spl9 | spl19), inference(avatar_split_clause, [status(thm)], [p1040, sdef9, sdef19])).
% 24.25/3.86  cnf(p245, plain, convergent_lines(sk2,X0) | distinct_lines(X1,X0) | distinct_lines(sk3,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p121, c4])).
% 24.25/3.86  cnf(p1041, 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(sk2,X1) | distinct_lines(sk3,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p131, p245])).
% 24.25/3.86  cnf(ssp57, plain, (spl5 | spl12), inference(avatar_split_clause, [status(thm)], [p1041, sdef5, sdef12])).
% 24.25/3.86  cnf(p1042, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | convergent_lines(sk2,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p131, p245])).
% 24.25/3.86  fof(sdef39, definition, (spl39 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(sk2,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl39])], [avatar_definition])).
% 24.25/3.86  cnf(ssp58, plain, (spl1 | spl3 | spl39), inference(avatar_split_clause, [status(thm)], [p1042, sdef1, sdef3, sdef39])).
% 24.25/3.86  cnf(p1044, 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(sk2,X2) | distinct_lines(X0,X2) | distinct_lines(sk3,X1), inference(resolution, [status(thm)], [p131, p245])).
% 24.25/3.86  cnf(ssp59, plain, (spl7 | spl14), inference(avatar_split_clause, [status(thm)], [p1044, sdef7, sdef14])).
% 24.25/3.86  cnf(p246, plain, distinct_lines(sk3,X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p121, c4])).
% 24.25/3.86  cnf(p1045, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p131, p246])).
% 24.25/3.86  fof(sdef40, definition, (spl40 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl40])], [avatar_definition])).
% 24.25/3.86  cnf(ssp60, plain, (spl1 | spl3 | spl40), inference(avatar_split_clause, [status(thm)], [p1045, sdef1, sdef3, sdef40])).
% 24.25/3.86  cnf(p1047, 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(sk3,X0) | convergent_lines(sk2,X2) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p131, p246])).
% 24.25/3.86  cnf(ssp61, plain, (spl7 | spl18), inference(avatar_split_clause, [status(thm)], [p1047, sdef7, sdef18])).
% 24.25/3.86  cnf(p1048, 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(sk3,X2) | convergent_lines(sk2,X0) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p131, p246])).
% 24.25/3.86  cnf(ssp62, plain, (spl12 | spl16), inference(avatar_split_clause, [status(thm)], [p1048, sdef12, sdef16])).
% 24.25/3.86  cnf(p247, plain, distinct_lines(sk3,X0) | distinct_lines(X0,X1) | convergent_lines(sk2,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p121, c5])).
% 24.25/3.86  cnf(p1049, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | distinct_lines(X0,X1) | convergent_lines(sk2,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p131, p247])).
% 24.25/3.86  fof(sdef41, definition, (spl41 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X0,X1) | convergent_lines(sk2,X2) | convergent_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl41])], [avatar_definition])).
% 24.25/3.86  cnf(ssp63, plain, (spl1 | spl3 | spl41), inference(avatar_split_clause, [status(thm)], [p1049, sdef1, sdef3, sdef41])).
% 24.25/3.86  cnf(p1051, 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(sk3,X0) | convergent_lines(sk2,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p131, p247])).
% 24.25/3.86  cnf(ssp64, plain, (spl7 | spl37), inference(avatar_split_clause, [status(thm)], [p1051, sdef7, sdef37])).
% 24.25/3.86  cnf(p250, plain, distinct_lines(X0,sk2) | distinct_lines(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p146, c4])).
% 24.25/3.86  cnf(p1052, 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,sk2) | distinct_lines(sk3,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p131, p250])).
% 24.25/3.86  cnf(ssp65, plain, (spl5 | spl9), inference(avatar_split_clause, [status(thm)], [p1052, sdef5, sdef9])).
% 24.25/3.86  cnf(p1053, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p131, p250])).
% 24.25/3.86  fof(sdef42, definition, (spl42 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl42])], [avatar_definition])).
% 24.25/3.86  cnf(ssp66, plain, (spl1 | spl3 | spl42), inference(avatar_split_clause, [status(thm)], [p1053, sdef1, sdef3, sdef42])).
% 24.25/3.86  cnf(p1055, 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(X2,sk2) | distinct_lines(X2,X0) | distinct_lines(sk3,X1), inference(resolution, [status(thm)], [p131, p250])).
% 24.25/3.86  cnf(ssp67, plain, (spl7 | spl15), inference(avatar_split_clause, [status(thm)], [p1055, sdef7, sdef15])).
% 24.25/3.86  cnf(p251, plain, distinct_lines(X0,sk2) | distinct_lines(sk3,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p146, c4])).
% 24.25/3.86  cnf(p1056, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p131, p251])).
% 24.25/3.86  fof(sdef43, definition, (spl43 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl43])], [avatar_definition])).
% 24.25/3.86  cnf(ssp68, plain, (spl1 | spl3 | spl43), inference(avatar_split_clause, [status(thm)], [p1056, sdef1, sdef3, sdef43])).
% 24.25/3.86  cnf(p1058, 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,sk2) | distinct_lines(sk3,X2) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p131, p251])).
% 24.25/3.86  cnf(ssp69, plain, (spl9 | spl16), inference(avatar_split_clause, [status(thm)], [p1058, sdef9, sdef16])).
% 24.25/3.86  cnf(p266, plain, distinct_lines(sk3,X0) | distinct_lines(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p147, c4])).
% 24.25/3.86  cnf(p1059, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | distinct_lines(sk3,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p131, p266])).
% 24.25/3.86  fof(sdef44, definition, (spl44 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(sk3,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl44])], [avatar_definition])).
% 24.25/3.86  cnf(ssp70, plain, (spl0 | spl2 | spl44), inference(avatar_split_clause, [status(thm)], [p1059, sdef0, sdef2, sdef44])).
% 24.25/3.86  cnf(p269, plain, convergent_lines(sk3,X0) | distinct_lines(X1,X0) | distinct_lines(sk2,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p161, c4])).
% 24.25/3.86  cnf(p1061, 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(sk3,X1) | distinct_lines(sk2,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p131, p269])).
% 24.25/3.86  cnf(ssp71, plain, (spl10 | spl13), inference(avatar_split_clause, [status(thm)], [p1061, sdef10, sdef13])).
% 24.25/3.86  cnf(p1062, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | convergent_lines(sk3,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p131, p269])).
% 24.25/3.86  fof(sdef45, definition, (spl45 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(sk3,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl45])], [avatar_definition])).
% 24.25/3.86  cnf(ssp72, plain, (spl0 | spl2 | spl45), inference(avatar_split_clause, [status(thm)], [p1062, sdef0, sdef2, sdef45])).
% 24.25/3.86  cnf(p1064, 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(sk3,X2) | distinct_lines(X0,X2) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p131, p269])).
% 24.25/3.86  cnf(ssp73, plain, (spl4 | spl17), inference(avatar_split_clause, [status(thm)], [p1064, sdef4, sdef17])).
% 24.25/3.86  cnf(p270, plain, convergent_lines(sk3,X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p161, c4])).
% 24.25/3.86  cnf(p1065, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | convergent_lines(sk3,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p131, p270])).
% 24.25/3.86  fof(sdef46, definition, (spl46 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(sk3,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl46])], [avatar_definition])).
% 24.25/3.86  cnf(ssp74, plain, (spl0 | spl2 | spl46), inference(avatar_split_clause, [status(thm)], [p1065, sdef0, sdef2, sdef46])).
% 24.25/3.86  cnf(p1067, 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(sk3,X2) | distinct_lines(sk2,X0) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p131, p270])).
% 24.25/3.86  cnf(ssp75, plain, (spl4 | spl23), inference(avatar_split_clause, [status(thm)], [p1067, sdef4, sdef23])).
% 24.25/3.86  cnf(p1068, 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(sk3,X0) | distinct_lines(sk2,X2) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p131, p270])).
% 24.25/3.86  cnf(ssp76, plain, (spl6 | spl13), inference(avatar_split_clause, [status(thm)], [p1068, sdef6, sdef13])).
% 24.25/3.86  cnf(p271, plain, distinct_lines(sk2,X0) | distinct_lines(X0,X1) | convergent_lines(sk3,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p161, c5])).
% 24.25/3.86  cnf(p1069, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | distinct_lines(X0,X1) | convergent_lines(sk3,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p131, p271])).
% 24.25/3.86  fof(sdef47, definition, (spl47 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X0,X1) | convergent_lines(sk3,X2) | convergent_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl47])], [avatar_definition])).
% 24.25/3.86  cnf(ssp77, plain, (spl0 | spl2 | spl47), inference(avatar_split_clause, [status(thm)], [p1069, sdef0, sdef2, sdef47])).
% 24.25/3.86  cnf(p1071, 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(sk2,X0) | convergent_lines(sk3,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p131, p271])).
% 24.25/3.86  cnf(ssp78, plain, (spl4 | spl38), inference(avatar_split_clause, [status(thm)], [p1071, sdef4, sdef38])).
% 24.25/3.86  cnf(p274, plain, convergent_lines(sk2,X0) | distinct_lines(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p170, c4])).
% 24.25/3.86  cnf(p1072, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | convergent_lines(sk2,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p131, p274])).
% 24.25/3.86  fof(sdef48, definition, (spl48 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | convergent_lines(sk2,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl48])], [avatar_definition])).
% 24.25/3.86  cnf(ssp79, plain, (spl1 | spl3 | spl48), inference(avatar_split_clause, [status(thm)], [p1072, sdef1, sdef3, sdef48])).
% 24.25/3.86  cnf(p275, plain, distinct_lines(sk3,X0) | distinct_lines(X1,X0) | convergent_lines(sk2,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p170, c5])).
% 24.25/3.86  cnf(p1074, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | distinct_lines(X1,X0) | convergent_lines(sk2,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p131, p275])).
% 24.25/3.86  fof(sdef49, definition, (spl49 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(X1,X0) | convergent_lines(sk2,X2) | convergent_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl49])], [avatar_definition])).
% 24.25/3.86  cnf(ssp80, plain, (spl1 | spl3 | spl49), inference(avatar_split_clause, [status(thm)], [p1074, sdef1, sdef3, sdef49])).
% 24.25/3.86  cnf(p298, plain, convergent_lines(X0,sk3) | convergent_lines(sk2,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p185, c4])).
% 24.25/3.86  cnf(p1076, 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,sk3) | convergent_lines(sk2,X2) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p131, p298])).
% 24.25/3.86  cnf(ssp81, plain, (spl18 | spl19), inference(avatar_split_clause, [status(thm)], [p1076, sdef18, sdef19])).
% 24.25/3.86  cnf(p1077, 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(X2,sk3) | convergent_lines(sk2,X0) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p131, p298])).
% 24.25/3.86  cnf(ssp82, plain, (spl12 | spl20), inference(avatar_split_clause, [status(thm)], [p1077, sdef12, sdef20])).
% 24.25/3.86  cnf(p300, plain, convergent_lines(X0,sk3) | distinct_lines(X0,X1) | convergent_lines(sk2,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p185, c5])).
% 24.25/3.86  cnf(p1078, 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,sk3) | convergent_lines(sk2,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p131, p300])).
% 24.25/3.86  cnf(ssp83, plain, (spl19 | spl37), inference(avatar_split_clause, [status(thm)], [p1078, sdef19, sdef37])).
% 24.25/3.86  cnf(p948, plain, (apart_point_and_line(sk1,sk2) | ~spl2), inference(avatar_component_clause, [status(thm)], [sdef2])).
% 24.25/3.86  cnf(p100, plain, convergent_lines(sk2,X0) | convergent_lines(sk3,X1) | ~apart_point_and_line(X2,X0) | distinct_points(X2,intersection_point(X0,X1)), inference(resolution, [status(thm)], [p38, c8])).
% 24.25/3.86  cnf(p1092, plain, (convergent_lines(sk2,sk2) | convergent_lines(sk3,X0) | distinct_points(sk1,intersection_point(sk2,X0)) | ~spl2), inference(resolution, [status(thm)], [p948, p100])).
% 24.25/3.86  fof(sdef51, definition, (spl51 <=> (convergent_lines(sk3,X0) | distinct_points(sk1,intersection_point(sk2,X0)))), introduced(definition, [new_symbols(naming, [spl51])], [avatar_definition])).
% 24.25/3.86  cnf(ssp84, plain, (~spl2 | spl50 | spl51), inference(avatar_split_clause, [status(thm)], [p1092, sdef50, sdef51])).
% 24.25/3.86  cnf(c16, plain, distinct_points(sk0,intersection_point(sk2,sk3)), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 24.25/3.86  cnf(p132, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1), inference(resolution, [status(thm)], [c10, c16])).
% 24.25/3.86  cnf(p1109, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,sk3) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),sk3), inference(resolution, [status(thm)], [p132, p19])).
% 24.25/3.86  cnf(ssp85, plain, (spl0 | spl1 | spl52 | spl53), inference(avatar_split_clause, [status(thm)], [p1109, sdef0, sdef1, sdef52, sdef53])).
% 24.25/3.86  cnf(p1112, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk2,X0), inference(resolution, [status(thm)], [p132, p28])).
% 24.25/3.86  fof(sdef54, definition, (spl54 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl54])], [avatar_definition])).
% 24.25/3.86  cnf(ssp86, plain, (spl1 | spl53 | spl54), inference(avatar_split_clause, [status(thm)], [p1112, sdef1, sdef53, sdef54])).
% 24.25/3.86  cnf(p1114, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p132, p30])).
% 24.25/3.86  fof(sdef55, definition, (spl55 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl55])], [avatar_definition])).
% 24.25/3.86  cnf(ssp87, plain, (spl0 | spl52 | spl55), inference(avatar_split_clause, [status(thm)], [p1114, sdef0, sdef52, sdef55])).
% 24.25/3.86  cnf(p1116, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p132, p30])).
% 24.25/3.86  fof(sdef56, definition, (spl56 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl56])], [avatar_definition])).
% 24.25/3.86  cnf(ssp88, plain, (spl1 | spl53 | spl56), inference(avatar_split_clause, [status(thm)], [p1116, sdef1, sdef53, sdef56])).
% 24.25/3.86  cnf(p1118, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(sk2,X0) | distinct_lines(sk3,X1), inference(resolution, [status(thm)], [p132, p30])).
% 24.25/3.86  fof(sdef57, definition, (spl57 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk3,X0))), introduced(definition, [new_symbols(naming, [spl57])], [avatar_definition])).
% 24.25/3.86  cnf(ssp89, plain, (spl54 | spl57), inference(avatar_split_clause, [status(thm)], [p1118, sdef54, sdef57])).
% 24.25/3.86  cnf(p1120, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,sk3), inference(resolution, [status(thm)], [p132, p55])).
% 24.25/3.86  fof(sdef58, definition, (spl58 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,sk3))), introduced(definition, [new_symbols(naming, [spl58])], [avatar_definition])).
% 24.25/3.86  cnf(ssp90, plain, (spl0 | spl52 | spl58), inference(avatar_split_clause, [status(thm)], [p1120, sdef0, sdef52, sdef58])).
% 24.25/3.86  cnf(p1122, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,sk2), inference(resolution, [status(thm)], [p132, p128])).
% 24.25/3.86  fof(sdef59, definition, (spl59 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl59])], [avatar_definition])).
% 24.25/3.86  cnf(ssp91, plain, (spl1 | spl53 | spl59), inference(avatar_split_clause, [status(thm)], [p1122, sdef1, sdef53, sdef59])).
% 24.25/3.86  cnf(p1124, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | distinct_lines(sk3,X0), inference(resolution, [status(thm)], [p132, p128])).
% 24.25/3.86  cnf(ssp92, plain, (spl0 | spl52 | spl57), inference(avatar_split_clause, [status(thm)], [p1124, sdef0, sdef52, sdef57])).
% 24.25/3.86  cnf(p1125, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | distinct_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p132, p59])).
% 24.25/3.86  fof(sdef60, definition, (spl60 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl60])], [avatar_definition])).
% 24.25/3.86  cnf(ssp93, plain, (spl1 | spl53 | spl60), inference(avatar_split_clause, [status(thm)], [p1125, sdef1, sdef53, sdef60])).
% 24.25/3.86  cnf(p1127, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,sk3) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p132, p59])).
% 24.25/3.86  fof(sdef61, definition, (spl61 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,sk3) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl61])], [avatar_definition])).
% 24.25/3.86  cnf(ssp94, plain, (spl0 | spl52 | spl61), inference(avatar_split_clause, [status(thm)], [p1127, sdef0, sdef52, sdef61])).
% 24.25/3.86  cnf(p1129, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(X0,sk3) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p132, p59])).
% 24.25/3.86  cnf(ssp95, plain, (spl54 | spl58), inference(avatar_split_clause, [status(thm)], [p1129, sdef54, sdef58])).
% 24.25/3.86  cnf(p1130, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(sk2,X0) | convergent_lines(sk3,X1), inference(resolution, [status(thm)], [p132, p94])).
% 24.25/3.86  fof(sdef62, definition, (spl62 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl62])], [avatar_definition])).
% 24.25/3.86  fof(sdef63, definition, (spl63 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk3,X0))), introduced(definition, [new_symbols(naming, [spl63])], [avatar_definition])).
% 24.25/3.86  cnf(ssp96, plain, (spl62 | spl63), inference(avatar_split_clause, [status(thm)], [p1130, sdef62, sdef63])).
% 24.25/3.86  cnf(p1133, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p132, p121])).
% 24.25/3.86  fof(sdef64, definition, (spl64 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl64])], [avatar_definition])).
% 24.25/3.86  cnf(ssp97, plain, (spl1 | spl53 | spl64), inference(avatar_split_clause, [status(thm)], [p1133, sdef1, sdef53, sdef64])).
% 24.25/3.86  cnf(p1135, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(sk3,X0) | convergent_lines(sk2,X1), inference(resolution, [status(thm)], [p132, p121])).
% 24.25/3.86  cnf(ssp98, plain, (spl57 | spl62), inference(avatar_split_clause, [status(thm)], [p1135, sdef57, sdef62])).
% 24.25/3.86  cnf(p1136, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p132, p146])).
% 24.25/3.86  fof(sdef65, definition, (spl65 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl65])], [avatar_definition])).
% 24.25/3.86  cnf(ssp99, plain, (spl1 | spl53 | spl65), inference(avatar_split_clause, [status(thm)], [p1136, sdef1, sdef53, sdef65])).
% 24.25/3.86  cnf(p1138, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(X0,sk2) | distinct_lines(sk3,X1), inference(resolution, [status(thm)], [p132, p146])).
% 24.25/3.86  cnf(ssp100, plain, (spl57 | spl59), inference(avatar_split_clause, [status(thm)], [p1138, sdef57, sdef59])).
% 24.25/3.86  cnf(p1139, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk3,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p132, p147])).
% 24.25/3.86  fof(sdef66, definition, (spl66 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk3,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl66])], [avatar_definition])).
% 24.25/3.86  cnf(ssp101, plain, (spl0 | spl52 | spl66), inference(avatar_split_clause, [status(thm)], [p1139, sdef0, sdef52, sdef66])).
% 24.25/3.86  cnf(p1141, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk3,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p132, p161])).
% 24.25/3.86  fof(sdef67, definition, (spl67 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk3,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl67])], [avatar_definition])).
% 24.25/3.86  cnf(ssp102, plain, (spl0 | spl52 | spl67), inference(avatar_split_clause, [status(thm)], [p1141, sdef0, sdef52, sdef67])).
% 24.25/3.86  cnf(p1143, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(sk3,X1) | distinct_lines(sk2,X0), inference(resolution, [status(thm)], [p132, p161])).
% 24.25/3.86  cnf(ssp103, plain, (spl54 | spl63), inference(avatar_split_clause, [status(thm)], [p1143, sdef54, sdef63])).
% 24.25/3.86  cnf(p1144, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk2,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p132, p170])).
% 24.25/3.86  fof(sdef68, definition, (spl68 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk2,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl68])], [avatar_definition])).
% 24.25/3.86  cnf(ssp104, plain, (spl1 | spl53 | spl68), inference(avatar_split_clause, [status(thm)], [p1144, sdef1, sdef53, sdef68])).
% 24.25/3.86  cnf(p1146, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(X0,sk3) | convergent_lines(sk2,X1), inference(resolution, [status(thm)], [p132, p185])).
% 24.25/3.86  fof(sdef69, definition, (spl69 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(X0,sk3))), introduced(definition, [new_symbols(naming, [spl69])], [avatar_definition])).
% 24.25/3.86  cnf(ssp105, plain, (spl62 | spl69), inference(avatar_split_clause, [status(thm)], [p1146, sdef62, sdef69])).
% 24.25/3.86  cnf(p1148, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(X0,sk3) | convergent_lines(sk2,X1), inference(resolution, [status(thm)], [p132, p235])).
% 24.25/3.86  cnf(ssp106, plain, (spl58 | spl62), inference(avatar_split_clause, [status(thm)], [p1148, sdef58, sdef62])).
% 24.25/3.86  cnf(p1149, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(X1,sk3) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p132, p290])).
% 24.25/3.86  fof(sdef70, definition, (spl70 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(X1,sk3) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl70])], [avatar_definition])).
% 24.25/3.86  cnf(ssp107, plain, (spl0 | spl52 | spl70), inference(avatar_split_clause, [status(thm)], [p1149, sdef0, sdef52, sdef70])).
% 24.25/3.86  cnf(p1151, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(X0,sk3) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p132, p290])).
% 24.25/3.86  cnf(ssp108, plain, (spl54 | spl69), inference(avatar_split_clause, [status(thm)], [p1151, sdef54, sdef69])).
% 24.25/3.86  cnf(p1152, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(X0,sk2) | convergent_lines(sk3,X1), inference(resolution, [status(thm)], [p132, p309])).
% 24.25/3.86  fof(sdef71, definition, (spl71 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl71])], [avatar_definition])).
% 24.25/3.86  cnf(ssp109, plain, (spl63 | spl71), inference(avatar_split_clause, [status(thm)], [p1152, sdef63, sdef71])).
% 24.25/3.86  cnf(p1154, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(X0,sk2) | convergent_lines(sk3,X1), inference(resolution, [status(thm)], [p132, p374])).
% 24.25/3.86  cnf(ssp110, plain, (spl59 | spl63), inference(avatar_split_clause, [status(thm)], [p1154, sdef59, sdef63])).
% 24.25/3.86  cnf(p1155, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(X0,sk2) | distinct_lines(sk3,X1), inference(resolution, [status(thm)], [p132, p382])).
% 24.25/3.86  cnf(ssp111, plain, (spl57 | spl71), inference(avatar_split_clause, [status(thm)], [p1155, sdef57, sdef71])).
% 24.25/3.86  cnf(p1156, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(X1,sk2) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p132, p382])).
% 24.25/3.86  fof(sdef72, definition, (spl72 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(X1,sk2) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl72])], [avatar_definition])).
% 24.25/3.86  cnf(ssp112, plain, (spl1 | spl53 | spl72), inference(avatar_split_clause, [status(thm)], [p1156, sdef1, sdef53, sdef72])).
% 24.25/3.86  cnf(p1158, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk3,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p132, p424])).
% 24.25/3.86  fof(sdef73, definition, (spl73 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk3,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl73])], [avatar_definition])).
% 24.25/3.86  cnf(ssp113, plain, (spl0 | spl52 | spl73), inference(avatar_split_clause, [status(thm)], [p1158, sdef0, sdef52, sdef73])).
% 24.25/3.86  cnf(p1160, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,X0) | distinct_lines(sk2,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p132, p56])).
% 24.25/3.86  fof(sdef74, definition, (spl74 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,X0) | distinct_lines(sk2,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl74])], [avatar_definition])).
% 24.25/3.86  cnf(ssp114, plain, (spl1 | spl53 | spl74), inference(avatar_split_clause, [status(thm)], [p1160, sdef1, sdef53, sdef74])).
% 24.25/3.86  cnf(p1162, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(sk3,X1) | distinct_lines(sk2,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p132, p56])).
% 24.25/3.86  cnf(ssp115, plain, (spl57 | spl60), inference(avatar_split_clause, [status(thm)], [p1162, sdef57, sdef60])).
% 24.25/3.86  cnf(p1163, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk3,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p132, p56])).
% 24.25/3.86  fof(sdef75, definition, (spl75 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk3,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl75])], [avatar_definition])).
% 24.25/3.86  cnf(ssp116, plain, (spl0 | spl52 | spl75), inference(avatar_split_clause, [status(thm)], [p1163, sdef0, sdef52, sdef75])).
% 24.25/3.86  cnf(p1165, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(sk3,X2) | distinct_lines(X0,X2) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p132, p56])).
% 24.25/3.86  cnf(ssp117, plain, (spl54 | spl55), inference(avatar_split_clause, [status(thm)], [p1165, sdef54, sdef55])).
% 24.25/3.86  cnf(p1166, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p132, p57])).
% 24.25/3.86  fof(sdef76, definition, (spl76 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,X1) | distinct_lines(sk3,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl76])], [avatar_definition])).
% 24.25/3.86  cnf(ssp118, plain, (spl0 | spl52 | spl76), inference(avatar_split_clause, [status(thm)], [p1166, sdef0, sdef52, sdef76])).
% 24.25/3.86  cnf(p1168, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p132, p57])).
% 24.25/3.86  fof(sdef77, definition, (spl77 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl77])], [avatar_definition])).
% 24.25/3.86  cnf(ssp119, plain, (spl1 | spl53 | spl77), inference(avatar_split_clause, [status(thm)], [p1168, sdef1, sdef53, sdef77])).
% 24.25/3.86  cnf(p1170, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X0) | distinct_lines(sk3,X1), inference(resolution, [status(thm)], [p132, p57])).
% 24.25/3.86  cnf(ssp120, plain, (spl56 | spl57), inference(avatar_split_clause, [status(thm)], [p1170, sdef56, sdef57])).
% 24.25/3.86  cnf(p1171, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk3), inference(resolution, [status(thm)], [p132, p445])).
% 24.25/3.86  fof(sdef78, definition, (spl78 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk3))), introduced(definition, [new_symbols(naming, [spl78])], [avatar_definition])).
% 24.25/3.86  cnf(ssp121, plain, (spl0 | spl52 | spl78), inference(avatar_split_clause, [status(thm)], [p1171, sdef0, sdef52, sdef78])).
% 24.25/3.86  cnf(p1173, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p132, p58])).
% 24.25/3.86  fof(sdef79, definition, (spl79 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk3,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl79])], [avatar_definition])).
% 24.25/3.86  cnf(ssp122, plain, (spl0 | spl52 | spl79), inference(avatar_split_clause, [status(thm)], [p1173, sdef0, sdef52, sdef79])).
% 24.25/3.86  cnf(p1175, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p132, p58])).
% 24.25/3.86  fof(sdef80, definition, (spl80 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl80])], [avatar_definition])).
% 24.25/3.86  cnf(ssp123, plain, (spl1 | spl53 | spl80), inference(avatar_split_clause, [status(thm)], [p1175, sdef1, sdef53, sdef80])).
% 24.25/3.86  cnf(p1177, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(sk2,X0) | distinct_lines(sk3,X2) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p132, p58])).
% 24.25/3.86  cnf(ssp124, plain, (spl54 | spl66), inference(avatar_split_clause, [status(thm)], [p1177, sdef54, sdef66])).
% 24.25/3.86  cnf(p1178, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(X1,sk3) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p132, p530])).
% 24.25/3.86  fof(sdef81, definition, (spl81 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(X1,sk3) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl81])], [avatar_definition])).
% 24.25/3.86  cnf(ssp125, plain, (spl0 | spl52 | spl81), inference(avatar_split_clause, [status(thm)], [p1178, sdef0, sdef52, sdef81])).
% 24.25/3.86  cnf(p1180, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(X1,sk2) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p132, p579])).
% 24.25/3.86  fof(sdef82, definition, (spl82 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(X1,sk2) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl82])], [avatar_definition])).
% 24.25/3.86  cnf(ssp126, plain, (spl1 | spl53 | spl82), inference(avatar_split_clause, [status(thm)], [p1180, sdef1, sdef53, sdef82])).
% 24.25/3.86  cnf(p1182, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk2), inference(resolution, [status(thm)], [p132, p585])).
% 24.25/3.86  fof(sdef83, definition, (spl83 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk2))), introduced(definition, [new_symbols(naming, [spl83])], [avatar_definition])).
% 24.25/3.86  cnf(ssp127, plain, (spl1 | spl53 | spl83), inference(avatar_split_clause, [status(thm)], [p1182, sdef1, sdef53, sdef83])).
% 24.25/3.86  cnf(p1184, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | distinct_lines(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p132, p149])).
% 24.25/3.86  fof(sdef84, definition, (spl84 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl84])], [avatar_definition])).
% 24.25/3.86  cnf(ssp128, plain, (spl1 | spl53 | spl84), inference(avatar_split_clause, [status(thm)], [p1184, sdef1, sdef53, sdef84])).
% 24.25/3.86  cnf(p1186, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(X0,sk3) | distinct_lines(sk2,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p132, p149])).
% 24.25/3.86  cnf(ssp129, plain, (spl58 | spl60), inference(avatar_split_clause, [status(thm)], [p1186, sdef58, sdef60])).
% 24.25/3.86  cnf(p1187, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,sk3) | distinct_lines(X1,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p132, p149])).
% 24.25/3.86  fof(sdef85, definition, (spl85 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,sk3) | distinct_lines(X1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl85])], [avatar_definition])).
% 24.25/3.86  cnf(ssp130, plain, (spl0 | spl52 | spl85), inference(avatar_split_clause, [status(thm)], [p1187, sdef0, sdef52, sdef85])).
% 24.25/3.86  cnf(p1189, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(X2,sk3) | distinct_lines(X2,X0) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p132, p149])).
% 24.25/3.86  cnf(ssp131, plain, (spl54 | spl61), inference(avatar_split_clause, [status(thm)], [p1189, sdef54, sdef61])).
% 24.25/3.86  cnf(p1190, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(X0,sk3) | distinct_lines(X1,sk2), inference(resolution, [status(thm)], [p132, p601])).
% 24.25/3.86  cnf(ssp132, plain, (spl58 | spl59), inference(avatar_split_clause, [status(thm)], [p1190, sdef58, sdef59])).
% 24.25/3.86  cnf(p1191, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,sk3) | distinct_lines(X1,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p132, p150])).
% 24.25/3.86  fof(sdef86, definition, (spl86 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,sk3) | distinct_lines(X1,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl86])], [avatar_definition])).
% 24.25/3.86  cnf(ssp133, plain, (spl0 | spl52 | spl86), inference(avatar_split_clause, [status(thm)], [p1191, sdef0, sdef52, sdef86])).
% 24.25/3.86  cnf(p1193, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(X0,sk3) | distinct_lines(sk2,X2) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p132, p150])).
% 24.25/3.86  cnf(ssp134, plain, (spl56 | spl58), inference(avatar_split_clause, [status(thm)], [p1193, sdef56, sdef58])).
% 24.25/3.86  cnf(p1194, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(sk2,X0) | convergent_lines(sk3,X2) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p132, p176])).
% 24.25/3.86  cnf(ssp135, plain, (spl62 | spl73), inference(avatar_split_clause, [status(thm)], [p1194, sdef62, sdef73])).
% 24.25/3.86  cnf(p1195, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(sk2,X2) | convergent_lines(sk3,X0) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p132, p176])).
% 24.25/3.86  cnf(ssp136, plain, (spl63 | spl68), inference(avatar_split_clause, [status(thm)], [p1195, sdef63, sdef68])).
% 24.25/3.86  cnf(p1196, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(sk3,X1) | convergent_lines(sk2,X2) | convergent_lines(X0,X2), inference(resolution, [status(thm)], [p132, p177])).
% 24.25/3.86  fof(sdef87, definition, (spl87 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk2,X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl87])], [avatar_definition])).
% 24.25/3.86  cnf(ssp137, plain, (spl63 | spl87), inference(avatar_split_clause, [status(thm)], [p1196, sdef63, sdef87])).
% 24.25/3.86  cnf(p1198, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(sk2,X0) | convergent_lines(sk3,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p132, p178])).
% 24.25/3.86  fof(sdef88, definition, (spl88 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk3,X1) | convergent_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl88])], [avatar_definition])).
% 24.25/3.86  cnf(ssp138, plain, (spl62 | spl88), inference(avatar_split_clause, [status(thm)], [p1198, sdef62, sdef88])).
% 24.25/3.86  cnf(p1200, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(X0,sk3) | convergent_lines(X1,sk2), inference(resolution, [status(thm)], [p132, p693])).
% 24.25/3.86  cnf(ssp139, plain, (spl69 | spl71), inference(avatar_split_clause, [status(thm)], [p1200, sdef69, sdef71])).
% 24.25/3.86  cnf(p1201, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(X1,sk2) | distinct_lines(X0,sk3), inference(resolution, [status(thm)], [p132, p703])).
% 24.25/3.86  cnf(ssp140, plain, (spl58 | spl71), inference(avatar_split_clause, [status(thm)], [p1201, sdef58, sdef71])).
% 24.25/3.86  cnf(p1202, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(X0,sk3) | distinct_lines(X1,sk2), inference(resolution, [status(thm)], [p132, p710])).
% 24.25/3.86  cnf(ssp141, plain, (spl59 | spl69), inference(avatar_split_clause, [status(thm)], [p1202, sdef59, sdef69])).
% 24.25/3.86  cnf(p1203, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(sk2,X1) | distinct_lines(sk3,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p132, p245])).
% 24.25/3.86  cnf(ssp142, plain, (spl55 | spl62), inference(avatar_split_clause, [status(thm)], [p1203, sdef55, sdef62])).
% 24.25/3.86  cnf(p1204, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk2,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p132, p245])).
% 24.25/3.86  fof(sdef89, definition, (spl89 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk2,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl89])], [avatar_definition])).
% 24.25/3.86  cnf(ssp143, plain, (spl1 | spl53 | spl89), inference(avatar_split_clause, [status(thm)], [p1204, sdef1, sdef53, sdef89])).
% 24.25/3.86  cnf(p1206, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(sk2,X2) | distinct_lines(X0,X2) | distinct_lines(sk3,X1), inference(resolution, [status(thm)], [p132, p245])).
% 24.25/3.86  cnf(ssp144, plain, (spl57 | spl64), inference(avatar_split_clause, [status(thm)], [p1206, sdef57, sdef64])).
% 24.25/3.86  cnf(p1207, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p132, p246])).
% 24.25/3.86  fof(sdef90, definition, (spl90 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl90])], [avatar_definition])).
% 24.25/3.86  cnf(ssp145, plain, (spl1 | spl53 | spl90), inference(avatar_split_clause, [status(thm)], [p1207, sdef1, sdef53, sdef90])).
% 24.25/3.86  cnf(p1209, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(sk3,X0) | convergent_lines(sk2,X2) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p132, p246])).
% 24.25/3.86  cnf(ssp146, plain, (spl57 | spl68), inference(avatar_split_clause, [status(thm)], [p1209, sdef57, sdef68])).
% 24.25/3.86  cnf(p1210, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(sk3,X2) | convergent_lines(sk2,X0) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p132, p246])).
% 24.25/3.86  cnf(ssp147, plain, (spl62 | spl66), inference(avatar_split_clause, [status(thm)], [p1210, sdef62, sdef66])).
% 24.25/3.86  cnf(p1211, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,X1) | convergent_lines(sk2,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p132, p247])).
% 24.25/3.86  fof(sdef91, definition, (spl91 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,X1) | convergent_lines(sk2,X2) | convergent_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl91])], [avatar_definition])).
% 24.25/3.86  cnf(ssp148, plain, (spl1 | spl53 | spl91), inference(avatar_split_clause, [status(thm)], [p1211, sdef1, sdef53, sdef91])).
% 24.25/3.86  cnf(p1213, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(sk3,X0) | convergent_lines(sk2,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p132, p247])).
% 24.25/3.86  cnf(ssp149, plain, (spl57 | spl87), inference(avatar_split_clause, [status(thm)], [p1213, sdef57, sdef87])).
% 24.25/3.86  cnf(p1214, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(X0,sk2) | distinct_lines(sk3,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p132, p250])).
% 24.25/3.86  cnf(ssp150, plain, (spl55 | spl59), inference(avatar_split_clause, [status(thm)], [p1214, sdef55, sdef59])).
% 24.25/3.86  cnf(p1215, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p132, p250])).
% 24.25/3.86  fof(sdef92, definition, (spl92 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl92])], [avatar_definition])).
% 24.25/3.86  cnf(ssp151, plain, (spl1 | spl53 | spl92), inference(avatar_split_clause, [status(thm)], [p1215, sdef1, sdef53, sdef92])).
% 24.25/3.86  cnf(p1217, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X0) | distinct_lines(sk3,X1), inference(resolution, [status(thm)], [p132, p250])).
% 24.25/3.86  cnf(ssp152, plain, (spl57 | spl65), inference(avatar_split_clause, [status(thm)], [p1217, sdef57, sdef65])).
% 24.25/3.86  cnf(p1218, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p132, p251])).
% 24.25/3.86  fof(sdef93, definition, (spl93 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl93])], [avatar_definition])).
% 24.25/3.86  cnf(ssp153, plain, (spl1 | spl53 | spl93), inference(avatar_split_clause, [status(thm)], [p1218, sdef1, sdef53, sdef93])).
% 24.25/3.86  cnf(p1220, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(X0,sk2) | distinct_lines(sk3,X2) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p132, p251])).
% 24.25/3.86  cnf(ssp154, plain, (spl59 | spl66), inference(avatar_split_clause, [status(thm)], [p1220, sdef59, sdef66])).
% 24.25/3.86  cnf(p1221, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk3,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p132, p266])).
% 24.25/3.86  fof(sdef94, definition, (spl94 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(sk3,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl94])], [avatar_definition])).
% 24.25/3.86  cnf(ssp155, plain, (spl0 | spl52 | spl94), inference(avatar_split_clause, [status(thm)], [p1221, sdef0, sdef52, sdef94])).
% 24.25/3.86  cnf(p1223, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(sk3,X1) | distinct_lines(sk2,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p132, p269])).
% 24.25/3.86  cnf(ssp156, plain, (spl60 | spl63), inference(avatar_split_clause, [status(thm)], [p1223, sdef60, sdef63])).
% 24.25/3.86  cnf(p1224, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk3,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p132, p269])).
% 24.25/3.86  fof(sdef95, definition, (spl95 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk3,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl95])], [avatar_definition])).
% 24.25/3.86  cnf(ssp157, plain, (spl0 | spl52 | spl95), inference(avatar_split_clause, [status(thm)], [p1224, sdef0, sdef52, sdef95])).
% 24.25/3.86  cnf(p1226, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(sk3,X2) | distinct_lines(X0,X2) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p132, p269])).
% 24.25/3.86  cnf(ssp158, plain, (spl54 | spl67), inference(avatar_split_clause, [status(thm)], [p1226, sdef54, sdef67])).
% 24.25/3.86  cnf(p1227, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk3,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p132, p270])).
% 24.25/3.86  fof(sdef96, definition, (spl96 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk3,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl96])], [avatar_definition])).
% 24.25/3.86  cnf(ssp159, plain, (spl0 | spl52 | spl96), inference(avatar_split_clause, [status(thm)], [p1227, sdef0, sdef52, sdef96])).
% 24.25/3.86  cnf(p1229, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(sk3,X2) | distinct_lines(sk2,X0) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p132, p270])).
% 24.25/3.86  cnf(ssp160, plain, (spl54 | spl73), inference(avatar_split_clause, [status(thm)], [p1229, sdef54, sdef73])).
% 24.25/3.86  cnf(p1230, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(sk3,X0) | distinct_lines(sk2,X2) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p132, p270])).
% 24.25/3.86  cnf(ssp161, plain, (spl56 | spl63), inference(avatar_split_clause, [status(thm)], [p1230, sdef56, sdef63])).
% 24.25/3.86  cnf(p1231, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,X1) | convergent_lines(sk3,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p132, p271])).
% 24.25/3.86  fof(sdef97, definition, (spl97 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X0,X1) | convergent_lines(sk3,X2) | convergent_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl97])], [avatar_definition])).
% 24.25/3.86  cnf(ssp162, plain, (spl0 | spl52 | spl97), inference(avatar_split_clause, [status(thm)], [p1231, sdef0, sdef52, sdef97])).
% 24.25/3.86  cnf(p1233, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | distinct_lines(sk2,X0) | convergent_lines(sk3,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p132, p271])).
% 24.25/3.86  cnf(ssp163, plain, (spl54 | spl88), inference(avatar_split_clause, [status(thm)], [p1233, sdef54, sdef88])).
% 24.25/3.86  cnf(p1234, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk2,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p132, p274])).
% 24.25/3.86  fof(sdef98, definition, (spl98 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | convergent_lines(sk2,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl98])], [avatar_definition])).
% 24.25/3.86  cnf(ssp164, plain, (spl1 | spl53 | spl98), inference(avatar_split_clause, [status(thm)], [p1234, sdef1, sdef53, sdef98])).
% 24.25/3.86  cnf(p1236, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,X0) | convergent_lines(sk2,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p132, p275])).
% 24.25/3.86  fof(sdef99, definition, (spl99 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(intersection_point(sk2,sk3),X0) | distinct_lines(X1,X0) | convergent_lines(sk2,X2) | convergent_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl99])], [avatar_definition])).
% 24.25/3.86  cnf(ssp165, plain, (spl1 | spl53 | spl99), inference(avatar_split_clause, [status(thm)], [p1236, sdef1, sdef53, sdef99])).
% 24.25/3.86  cnf(p1238, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(X0,sk3) | convergent_lines(sk2,X2) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p132, p298])).
% 24.25/3.86  cnf(ssp166, plain, (spl68 | spl69), inference(avatar_split_clause, [status(thm)], [p1238, sdef68, sdef69])).
% 24.25/3.86  cnf(p1239, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(X2,sk3) | convergent_lines(sk2,X0) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p132, p298])).
% 24.25/3.86  cnf(ssp167, plain, (spl62 | spl70), inference(avatar_split_clause, [status(thm)], [p1239, sdef62, sdef70])).
% 24.25/3.86  cnf(p1240, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | convergent_lines(X0,sk3) | convergent_lines(sk2,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p132, p300])).
% 24.25/3.86  cnf(ssp168, plain, (spl69 | spl87), inference(avatar_split_clause, [status(thm)], [p1240, sdef69, sdef87])).
% 24.25/3.86  cnf(p133, 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, p20])).
% 24.25/3.86  cnf(p1254, plain, apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,sk3) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk3) | distinct_points(sk0,X0), inference(resolution, [status(thm)], [p133, p19])).
% 24.25/3.86  fof(sdef100, definition, (spl100 <=> (apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk3) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl100])], [avatar_definition])).
% 24.25/3.86  cnf(ssp169, plain, (spl2 | spl3 | spl100), inference(avatar_split_clause, [status(thm)], [p1254, sdef2, sdef3, sdef100])).
% 24.25/3.86  cnf(p1256, plain, apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk2,X0), inference(resolution, [status(thm)], [p133, p28])).
% 24.25/3.86  fof(sdef101, definition, (spl101 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl101])], [avatar_definition])).
% 24.25/3.86  cnf(ssp170, plain, (spl3 | spl101), inference(avatar_split_clause, [status(thm)], [p1256, sdef3, sdef101])).
% 24.25/3.86  cnf(p1258, plain, apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk3,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p133, p30])).
% 24.25/3.86  fof(sdef102, definition, (spl102 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk3,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl102])], [avatar_definition])).
% 24.25/3.86  cnf(ssp171, plain, (spl2 | spl102), inference(avatar_split_clause, [status(thm)], [p1258, sdef2, sdef102])).
% 24.25/3.86  cnf(p1260, plain, apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p133, p30])).
% 24.25/3.86  fof(sdef103, definition, (spl103 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl103])], [avatar_definition])).
% 24.25/3.86  cnf(ssp172, plain, (spl3 | spl103), inference(avatar_split_clause, [status(thm)], [p1260, sdef3, sdef103])).
% 24.25/3.86  cnf(p1263, plain, apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,sk3), inference(resolution, [status(thm)], [p133, p55])).
% 24.25/3.86  fof(sdef104, definition, (spl104 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,sk3))), introduced(definition, [new_symbols(naming, [spl104])], [avatar_definition])).
% 24.25/3.86  cnf(ssp173, plain, (spl2 | spl104), inference(avatar_split_clause, [status(thm)], [p1263, sdef2, sdef104])).
% 24.25/3.86  cnf(p1265, plain, apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,sk2), inference(resolution, [status(thm)], [p133, p128])).
% 24.25/3.86  fof(sdef105, definition, (spl105 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl105])], [avatar_definition])).
% 24.25/3.86  cnf(ssp174, plain, (spl3 | spl105), inference(avatar_split_clause, [status(thm)], [p1265, sdef3, sdef105])).
% 24.25/3.86  cnf(p1267, plain, apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,sk2) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(sk0,X1) | distinct_lines(sk3,X0), inference(resolution, [status(thm)], [p133, p128])).
% 24.25/3.86  fof(sdef106, definition, (spl106 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(sk0,X1) | distinct_lines(sk3,X0))), introduced(definition, [new_symbols(naming, [spl106])], [avatar_definition])).
% 24.25/3.86  cnf(ssp175, plain, (spl2 | spl106), inference(avatar_split_clause, [status(thm)], [p1267, sdef2, sdef106])).
% 24.25/3.86  cnf(p1269, plain, apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,sk3) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk3) | distinct_points(sk0,X1) | distinct_lines(sk2,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p133, p59])).
% 24.25/3.86  fof(sdef107, definition, (spl107 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk3) | distinct_points(sk0,X1) | distinct_lines(sk2,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl107])], [avatar_definition])).
% 24.25/3.86  cnf(ssp176, plain, (spl3 | spl107), inference(avatar_split_clause, [status(thm)], [p1269, sdef3, sdef107])).
% 24.25/3.86  cnf(p1271, plain, apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk3) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p133, p59])).
% 24.25/3.86  fof(sdef108, definition, (spl108 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk3) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl108])], [avatar_definition])).
% 24.25/3.86  cnf(ssp177, plain, (spl2 | spl108), inference(avatar_split_clause, [status(thm)], [p1271, sdef2, sdef108])).
% 24.25/3.86  cnf(p1275, plain, apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk2,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p133, p121])).
% 24.25/3.86  fof(sdef109, definition, (spl109 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk2,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl109])], [avatar_definition])).
% 24.25/3.86  cnf(ssp178, plain, (spl3 | spl109), inference(avatar_split_clause, [status(thm)], [p1275, sdef3, sdef109])).
% 24.25/3.86  cnf(p1278, plain, apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p133, p146])).
% 24.25/3.86  fof(sdef110, definition, (spl110 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl110])], [avatar_definition])).
% 24.25/3.86  cnf(ssp179, plain, (spl3 | spl110), inference(avatar_split_clause, [status(thm)], [p1278, sdef3, sdef110])).
% 24.25/3.86  cnf(p1281, plain, apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk3,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p133, p147])).
% 24.25/3.86  fof(sdef111, definition, (spl111 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk3,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl111])], [avatar_definition])).
% 24.25/3.86  cnf(ssp180, plain, (spl2 | spl111), inference(avatar_split_clause, [status(thm)], [p1281, sdef2, sdef111])).
% 24.25/3.86  cnf(p1283, plain, apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk3,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p133, p161])).
% 24.25/3.86  fof(sdef112, definition, (spl112 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk3,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl112])], [avatar_definition])).
% 24.25/3.86  cnf(ssp181, plain, (spl2 | spl112), inference(avatar_split_clause, [status(thm)], [p1283, sdef2, sdef112])).
% 24.25/3.86  cnf(p1286, plain, apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk2,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p133, p170])).
% 24.25/3.86  fof(sdef113, definition, (spl113 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk2,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl113])], [avatar_definition])).
% 24.25/3.86  cnf(ssp182, plain, (spl3 | spl113), inference(avatar_split_clause, [status(thm)], [p1286, sdef3, sdef113])).
% 24.25/3.86  cnf(p1290, plain, apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,sk3) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p133, p290])).
% 24.25/3.86  fof(sdef114, definition, (spl114 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,sk3) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl114])], [avatar_definition])).
% 24.25/3.86  cnf(ssp183, plain, (spl2 | spl114), inference(avatar_split_clause, [status(thm)], [p1290, sdef2, sdef114])).
% 24.25/3.86  cnf(p1296, plain, apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,sk2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p133, p382])).
% 24.25/3.86  fof(sdef115, definition, (spl115 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,sk2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl115])], [avatar_definition])).
% 24.25/3.86  cnf(ssp184, plain, (spl3 | spl115), inference(avatar_split_clause, [status(thm)], [p1296, sdef3, sdef115])).
% 24.25/3.86  cnf(p1298, plain, apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk3,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p133, p424])).
% 24.25/3.86  fof(sdef116, definition, (spl116 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk3,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl116])], [avatar_definition])).
% 24.25/3.86  cnf(ssp185, plain, (spl2 | spl116), inference(avatar_split_clause, [status(thm)], [p1298, sdef2, sdef116])).
% 24.25/3.86  cnf(p1300, plain, apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,X0) | distinct_lines(sk2,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p133, p56])).
% 24.25/3.86  fof(sdef117, definition, (spl117 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,X0) | distinct_lines(sk2,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl117])], [avatar_definition])).
% 24.25/3.86  cnf(ssp186, plain, (spl3 | spl117), inference(avatar_split_clause, [status(thm)], [p1300, sdef3, sdef117])).
% 24.25/3.86  cnf(p1303, plain, apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk3,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p133, p56])).
% 24.25/3.86  fof(sdef118, definition, (spl118 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk3,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl118])], [avatar_definition])).
% 24.25/3.86  cnf(ssp187, plain, (spl2 | spl118), inference(avatar_split_clause, [status(thm)], [p1303, sdef2, sdef118])).
% 24.25/3.86  cnf(p1306, plain, apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | distinct_lines(sk3,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p133, p57])).
% 24.25/3.86  fof(sdef119, definition, (spl119 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | distinct_lines(sk3,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl119])], [avatar_definition])).
% 24.25/3.86  cnf(ssp188, plain, (spl2 | spl119), inference(avatar_split_clause, [status(thm)], [p1306, sdef2, sdef119])).
% 24.25/3.86  cnf(p1308, plain, apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p133, p57])).
% 24.25/3.86  fof(sdef120, definition, (spl120 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl120])], [avatar_definition])).
% 24.25/3.86  cnf(ssp189, plain, (spl3 | spl120), inference(avatar_split_clause, [status(thm)], [p1308, sdef3, sdef120])).
% 24.25/3.86  cnf(p1311, plain, apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk3), inference(resolution, [status(thm)], [p133, p445])).
% 24.25/3.86  fof(sdef121, definition, (spl121 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk3))), introduced(definition, [new_symbols(naming, [spl121])], [avatar_definition])).
% 24.25/3.86  cnf(ssp190, plain, (spl2 | spl121), inference(avatar_split_clause, [status(thm)], [p1311, sdef2, sdef121])).
% 24.25/3.86  cnf(p1313, plain, apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk3,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p133, p58])).
% 24.25/3.86  fof(sdef122, definition, (spl122 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk3,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl122])], [avatar_definition])).
% 24.25/3.86  cnf(ssp191, plain, (spl2 | spl122), inference(avatar_split_clause, [status(thm)], [p1313, sdef2, sdef122])).
% 24.25/3.86  cnf(p1315, plain, apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p133, p58])).
% 24.25/3.86  fof(sdef123, definition, (spl123 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl123])], [avatar_definition])).
% 24.25/3.86  cnf(ssp192, plain, (spl3 | spl123), inference(avatar_split_clause, [status(thm)], [p1315, sdef3, sdef123])).
% 24.25/3.86  cnf(p1318, plain, apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,sk3) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p133, p530])).
% 24.25/3.86  fof(sdef124, definition, (spl124 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,sk3) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl124])], [avatar_definition])).
% 24.25/3.86  cnf(ssp193, plain, (spl2 | spl124), inference(avatar_split_clause, [status(thm)], [p1318, sdef2, sdef124])).
% 24.25/3.86  cnf(p1320, plain, apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,sk2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p133, p579])).
% 24.25/3.86  fof(sdef125, definition, (spl125 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,sk2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl125])], [avatar_definition])).
% 24.25/3.86  cnf(ssp194, plain, (spl3 | spl125), inference(avatar_split_clause, [status(thm)], [p1320, sdef3, sdef125])).
% 24.25/3.86  cnf(p1322, plain, apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk2), inference(resolution, [status(thm)], [p133, p585])).
% 24.25/3.86  fof(sdef126, definition, (spl126 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk2))), introduced(definition, [new_symbols(naming, [spl126])], [avatar_definition])).
% 24.25/3.86  cnf(ssp195, plain, (spl3 | spl126), inference(avatar_split_clause, [status(thm)], [p1322, sdef3, sdef126])).
% 24.25/3.86  cnf(p1324, plain, apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,sk3) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk3) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | distinct_lines(sk2,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p133, p149])).
% 24.25/3.86  fof(sdef127, definition, (spl127 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk3) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | distinct_lines(sk2,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl127])], [avatar_definition])).
% 24.25/3.86  cnf(ssp196, plain, (spl3 | spl127), inference(avatar_split_clause, [status(thm)], [p1324, sdef3, sdef127])).
% 24.25/3.86  cnf(p1327, plain, apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk3) | distinct_lines(X2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p133, p149])).
% 24.25/3.86  fof(sdef128, definition, (spl128 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk3) | distinct_lines(X2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl128])], [avatar_definition])).
% 24.25/3.86  cnf(ssp197, plain, (spl2 | spl128), inference(avatar_split_clause, [status(thm)], [p1327, sdef2, sdef128])).
% 24.25/3.86  cnf(p1331, plain, apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk3) | distinct_lines(X2,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p133, p150])).
% 24.25/3.86  fof(sdef129, definition, (spl129 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk3) | distinct_lines(X2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl129])], [avatar_definition])).
% 24.25/3.86  cnf(ssp198, plain, (spl2 | spl129), inference(avatar_split_clause, [status(thm)], [p1331, sdef2, sdef129])).
% 24.25/3.86  cnf(p1342, plain, apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk2,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p133, p245])).
% 24.25/3.86  fof(sdef130, definition, (spl130 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk2,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl130])], [avatar_definition])).
% 24.25/3.86  cnf(ssp199, plain, (spl3 | spl130), inference(avatar_split_clause, [status(thm)], [p1342, sdef3, sdef130])).
% 24.25/3.86  cnf(p1345, plain, apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk2,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p133, p246])).
% 24.25/3.86  fof(sdef131, definition, (spl131 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk2,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl131])], [avatar_definition])).
% 24.25/3.86  cnf(ssp200, plain, (spl3 | spl131), inference(avatar_split_clause, [status(thm)], [p1345, sdef3, sdef131])).
% 24.25/3.86  cnf(p1349, plain, apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | convergent_lines(sk2,X3) | convergent_lines(X2,X3), inference(resolution, [status(thm)], [p133, p247])).
% 24.25/3.86  fof(sdef132, definition, (spl132 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | convergent_lines(sk2,X3) | convergent_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl132])], [avatar_definition])).
% 24.25/3.86  cnf(ssp201, plain, (spl3 | spl132), inference(avatar_split_clause, [status(thm)], [p1349, sdef3, sdef132])).
% 24.25/3.86  cnf(p1353, plain, apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p133, p250])).
% 24.25/3.86  fof(sdef133, definition, (spl133 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl133])], [avatar_definition])).
% 24.25/3.86  cnf(ssp202, plain, (spl3 | spl133), inference(avatar_split_clause, [status(thm)], [p1353, sdef3, sdef133])).
% 24.25/3.86  cnf(p1356, plain, apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p133, p251])).
% 24.25/3.86  fof(sdef134, definition, (spl134 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl134])], [avatar_definition])).
% 24.25/3.86  cnf(ssp203, plain, (spl3 | spl134), inference(avatar_split_clause, [status(thm)], [p1356, sdef3, sdef134])).
% 24.25/3.86  cnf(p1359, plain, apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk3,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p133, p266])).
% 24.25/3.86  fof(sdef135, definition, (spl135 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk3,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl135])], [avatar_definition])).
% 24.25/3.86  cnf(ssp204, plain, (spl2 | spl135), inference(avatar_split_clause, [status(thm)], [p1359, sdef2, sdef135])).
% 24.25/3.86  cnf(p1362, plain, apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk3,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p133, p269])).
% 24.25/3.86  fof(sdef136, definition, (spl136 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk3,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl136])], [avatar_definition])).
% 24.25/3.86  cnf(ssp205, plain, (spl2 | spl136), inference(avatar_split_clause, [status(thm)], [p1362, sdef2, sdef136])).
% 24.25/3.86  cnf(p1365, plain, apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk3,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p133, p270])).
% 24.25/3.86  fof(sdef137, definition, (spl137 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk3,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl137])], [avatar_definition])).
% 24.25/3.86  cnf(ssp206, plain, (spl2 | spl137), inference(avatar_split_clause, [status(thm)], [p1365, sdef2, sdef137])).
% 24.25/3.86  cnf(p1369, plain, apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | convergent_lines(sk3,X3) | convergent_lines(X2,X3), inference(resolution, [status(thm)], [p133, p271])).
% 24.25/3.86  fof(sdef138, definition, (spl138 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | convergent_lines(sk3,X3) | convergent_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl138])], [avatar_definition])).
% 24.25/3.86  cnf(ssp207, plain, (spl2 | spl138), inference(avatar_split_clause, [status(thm)], [p1369, sdef2, sdef138])).
% 24.25/3.86  cnf(p1372, plain, apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk2,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p133, p274])).
% 24.25/3.86  fof(sdef139, definition, (spl139 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk2,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl139])], [avatar_definition])).
% 24.25/3.86  cnf(ssp208, plain, (spl3 | spl139), inference(avatar_split_clause, [status(thm)], [p1372, sdef3, sdef139])).
% 24.25/3.86  cnf(p1374, plain, apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,X0) | convergent_lines(sk2,X3) | convergent_lines(X2,X3), inference(resolution, [status(thm)], [p133, p275])).
% 24.25/3.86  fof(sdef140, definition, (spl140 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,X0) | convergent_lines(sk2,X3) | convergent_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl140])], [avatar_definition])).
% 24.25/3.86  cnf(ssp209, plain, (spl3 | spl140), inference(avatar_split_clause, [status(thm)], [p1374, sdef3, sdef140])).
% 24.25/3.86  cnf(p1394, plain, (convergent_lines(sk2,sk2) | convergent_lines(sk3,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X0)) | ~spl52), inference(resolution, [status(thm)], [p1110, p100])).
% 24.25/3.86  fof(sdef141, definition, (spl141 <=> (convergent_lines(sk3,X0) | distinct_points(intersection_point(sk2,sk3),intersection_point(sk2,X0)))), introduced(definition, [new_symbols(naming, [spl141])], [avatar_definition])).
% 24.25/3.86  cnf(ssp210, plain, (~spl52 | spl50 | spl141), inference(avatar_split_clause, [status(thm)], [p1394, sdef50, sdef141])).
% 24.25/3.86  fof(f9, axiom, ! [X,Y,Z] : ( apart_point_and_line(X,Y) => ( distinct_points(X,Z) | apart_point_and_line(Z,Y) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ceq1)).
% 24.25/3.86  fof(f9_nnf, plain, ! [X,Y,Z] : ((~(apart_point_and_line(X,Y)) | (distinct_points(X,Z) | apart_point_and_line(Z,Y)))), inference(nnf_transformation, [status(thm)], [f9])).
% 24.25/3.86  fof(f9_sk, plain, ! [X,Y,Z] : ((~(apart_point_and_line(X,Y)) | (distinct_points(X,Z) | apart_point_and_line(Z,Y)))), inference(skolemisation, [status(esa)], [f9_nnf])).
% 24.25/3.86  cnf(c11, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,X2) | apart_point_and_line(X2,X1), inference(cnf_transformation, [status(esa)], [f9_sk])).
% 24.25/3.86  cnf(p1082, plain, (distinct_points(sk1,X0) | apart_point_and_line(X0,sk2) | ~spl2), inference(resolution, [status(thm)], [p948, c11])).
% 24.25/3.86  cnf(p1421, plain, (distinct_points(sk1,X0) | convergent_lines(sk2,sk2) | convergent_lines(sk3,X1) | distinct_points(X0,intersection_point(sk2,X1)) | ~spl2), inference(resolution, [status(thm)], [p1082, p100])).
% 24.25/3.86  fof(sdef142, definition, (spl142 <=> (distinct_points(sk1,X0) | convergent_lines(sk3,X1) | distinct_points(X0,intersection_point(sk2,X1)))), introduced(definition, [new_symbols(naming, [spl142])], [avatar_definition])).
% 24.25/3.86  cnf(ssp211, plain, (~spl2 | spl50 | spl142), inference(avatar_split_clause, [status(thm)], [p1421, sdef50, sdef142])).
% 24.25/3.86  cnf(p21, plain, distinct_points(sk0,X0) | distinct_points(intersection_point(sk2,sk3),X0), inference(resolution, [status(thm)], [c3, c16])).
% 24.25/3.86  cnf(p134, plain, ~distinct_lines(X0,X1) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(sk0,X2), inference(resolution, [status(thm)], [c10, p21])).
% 24.25/3.86  cnf(p1424, plain, apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk3) | distinct_points(sk0,X0), inference(resolution, [status(thm)], [p134, p19])).
% 24.25/3.86  cnf(ssp212, plain, (spl52 | spl53 | spl100), inference(avatar_split_clause, [status(thm)], [p1424, sdef52, sdef53, sdef100])).
% 24.25/3.86  cnf(p1425, plain, apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk2,X0), inference(resolution, [status(thm)], [p134, p28])).
% 24.25/3.86  fof(sdef143, definition, (spl143 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl143])], [avatar_definition])).
% 24.25/3.86  cnf(ssp213, plain, (spl53 | spl143), inference(avatar_split_clause, [status(thm)], [p1425, sdef53, sdef143])).
% 24.25/3.86  cnf(p1427, plain, apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk3,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p134, p30])).
% 24.25/3.86  fof(sdef144, definition, (spl144 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk3,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl144])], [avatar_definition])).
% 24.25/3.86  cnf(ssp214, plain, (spl52 | spl144), inference(avatar_split_clause, [status(thm)], [p1427, sdef52, sdef144])).
% 24.25/3.86  cnf(p1429, plain, apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p134, p30])).
% 24.25/3.86  fof(sdef145, definition, (spl145 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl145])], [avatar_definition])).
% 24.25/3.86  cnf(ssp215, plain, (spl53 | spl145), inference(avatar_split_clause, [status(thm)], [p1429, sdef53, sdef145])).
% 24.25/3.86  cnf(p1432, plain, apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,sk3), inference(resolution, [status(thm)], [p134, p55])).
% 24.25/3.86  fof(sdef146, definition, (spl146 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,sk3))), introduced(definition, [new_symbols(naming, [spl146])], [avatar_definition])).
% 24.25/3.86  cnf(ssp216, plain, (spl52 | spl146), inference(avatar_split_clause, [status(thm)], [p1432, sdef52, sdef146])).
% 24.25/3.86  cnf(p1434, plain, apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,sk2), inference(resolution, [status(thm)], [p134, p128])).
% 24.25/3.86  fof(sdef147, definition, (spl147 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl147])], [avatar_definition])).
% 24.25/3.86  cnf(ssp217, plain, (spl53 | spl147), inference(avatar_split_clause, [status(thm)], [p1434, sdef53, sdef147])).
% 24.25/3.86  cnf(p1436, plain, apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(sk0,X1) | distinct_lines(sk3,X0), inference(resolution, [status(thm)], [p134, p128])).
% 24.25/3.86  fof(sdef148, definition, (spl148 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(sk0,X1) | distinct_lines(sk3,X0))), introduced(definition, [new_symbols(naming, [spl148])], [avatar_definition])).
% 24.25/3.86  cnf(ssp218, plain, (spl52 | spl148), inference(avatar_split_clause, [status(thm)], [p1436, sdef52, sdef148])).
% 24.25/3.86  cnf(p1438, plain, apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk3) | distinct_points(sk0,X1) | distinct_lines(sk2,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p134, p59])).
% 24.25/3.86  fof(sdef149, definition, (spl149 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk3) | distinct_points(sk0,X1) | distinct_lines(sk2,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl149])], [avatar_definition])).
% 24.25/3.86  cnf(ssp219, plain, (spl53 | spl149), inference(avatar_split_clause, [status(thm)], [p1438, sdef53, sdef149])).
% 24.25/3.86  cnf(p1440, plain, apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk3) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p134, p59])).
% 24.25/3.86  fof(sdef150, definition, (spl150 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk3) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl150])], [avatar_definition])).
% 24.25/3.86  cnf(ssp220, plain, (spl52 | spl150), inference(avatar_split_clause, [status(thm)], [p1440, sdef52, sdef150])).
% 24.25/3.86  cnf(p1444, plain, apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk2,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p134, p121])).
% 24.25/3.86  fof(sdef151, definition, (spl151 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk2,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl151])], [avatar_definition])).
% 24.25/3.86  cnf(ssp221, plain, (spl53 | spl151), inference(avatar_split_clause, [status(thm)], [p1444, sdef53, sdef151])).
% 24.25/3.86  cnf(p1447, plain, apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p134, p146])).
% 24.25/3.86  fof(sdef152, definition, (spl152 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl152])], [avatar_definition])).
% 24.25/3.86  cnf(ssp222, plain, (spl53 | spl152), inference(avatar_split_clause, [status(thm)], [p1447, sdef53, sdef152])).
% 24.25/3.86  cnf(p1450, plain, apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk3,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p134, p147])).
% 24.25/3.86  fof(sdef153, definition, (spl153 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk3,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl153])], [avatar_definition])).
% 24.25/3.86  cnf(ssp223, plain, (spl52 | spl153), inference(avatar_split_clause, [status(thm)], [p1450, sdef52, sdef153])).
% 24.25/3.86  cnf(p1452, plain, apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk3,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p134, p161])).
% 24.25/3.86  fof(sdef154, definition, (spl154 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk3,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl154])], [avatar_definition])).
% 24.25/3.86  cnf(ssp224, plain, (spl52 | spl154), inference(avatar_split_clause, [status(thm)], [p1452, sdef52, sdef154])).
% 24.25/3.86  cnf(p1455, plain, apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk2,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p134, p170])).
% 24.25/3.86  fof(sdef155, definition, (spl155 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk2,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl155])], [avatar_definition])).
% 24.25/3.86  cnf(ssp225, plain, (spl53 | spl155), inference(avatar_split_clause, [status(thm)], [p1455, sdef53, sdef155])).
% 24.25/3.86  cnf(p1459, plain, apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,sk3) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p134, p290])).
% 24.25/3.86  fof(sdef156, definition, (spl156 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,sk3) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl156])], [avatar_definition])).
% 24.25/3.86  cnf(ssp226, plain, (spl52 | spl156), inference(avatar_split_clause, [status(thm)], [p1459, sdef52, sdef156])).
% 24.25/3.86  cnf(p1465, plain, apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,sk2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p134, p382])).
% 24.25/3.86  fof(sdef157, definition, (spl157 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,sk2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl157])], [avatar_definition])).
% 24.25/3.86  cnf(ssp227, plain, (spl53 | spl157), inference(avatar_split_clause, [status(thm)], [p1465, sdef53, sdef157])).
% 24.25/3.86  cnf(p1467, plain, apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk3,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p134, p424])).
% 24.25/3.86  fof(sdef158, definition, (spl158 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk3,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl158])], [avatar_definition])).
% 24.25/3.86  cnf(ssp228, plain, (spl52 | spl158), inference(avatar_split_clause, [status(thm)], [p1467, sdef52, sdef158])).
% 24.25/3.86  cnf(p1469, plain, apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,X0) | distinct_lines(sk2,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p134, p56])).
% 24.25/3.86  fof(sdef159, definition, (spl159 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,X0) | distinct_lines(sk2,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl159])], [avatar_definition])).
% 24.25/3.86  cnf(ssp229, plain, (spl53 | spl159), inference(avatar_split_clause, [status(thm)], [p1469, sdef53, sdef159])).
% 24.25/3.86  cnf(p1472, plain, apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk3,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p134, p56])).
% 24.25/3.86  fof(sdef160, definition, (spl160 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk3,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl160])], [avatar_definition])).
% 24.25/3.86  cnf(ssp230, plain, (spl52 | spl160), inference(avatar_split_clause, [status(thm)], [p1472, sdef52, sdef160])).
% 24.25/3.86  cnf(p1475, plain, apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | distinct_lines(sk3,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p134, p57])).
% 24.25/3.86  fof(sdef161, definition, (spl161 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | distinct_lines(sk3,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl161])], [avatar_definition])).
% 24.25/3.86  cnf(ssp231, plain, (spl52 | spl161), inference(avatar_split_clause, [status(thm)], [p1475, sdef52, sdef161])).
% 24.25/3.86  cnf(p1477, plain, apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p134, p57])).
% 24.25/3.86  fof(sdef162, definition, (spl162 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl162])], [avatar_definition])).
% 24.25/3.86  cnf(ssp232, plain, (spl53 | spl162), inference(avatar_split_clause, [status(thm)], [p1477, sdef53, sdef162])).
% 24.25/3.86  cnf(p1480, plain, apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk3), inference(resolution, [status(thm)], [p134, p445])).
% 24.25/3.86  fof(sdef163, definition, (spl163 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk3))), introduced(definition, [new_symbols(naming, [spl163])], [avatar_definition])).
% 24.25/3.86  cnf(ssp233, plain, (spl52 | spl163), inference(avatar_split_clause, [status(thm)], [p1480, sdef52, sdef163])).
% 24.25/3.86  cnf(p1482, plain, apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk3,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p134, p58])).
% 24.25/3.86  fof(sdef164, definition, (spl164 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk3,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl164])], [avatar_definition])).
% 24.25/3.86  cnf(ssp234, plain, (spl52 | spl164), inference(avatar_split_clause, [status(thm)], [p1482, sdef52, sdef164])).
% 24.25/3.86  cnf(p1484, plain, apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p134, p58])).
% 24.25/3.86  fof(sdef165, definition, (spl165 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl165])], [avatar_definition])).
% 24.25/3.86  cnf(ssp235, plain, (spl53 | spl165), inference(avatar_split_clause, [status(thm)], [p1484, sdef53, sdef165])).
% 24.25/3.86  cnf(p1487, plain, apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,sk3) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p134, p530])).
% 24.25/3.86  fof(sdef166, definition, (spl166 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,sk3) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl166])], [avatar_definition])).
% 24.25/3.86  cnf(ssp236, plain, (spl52 | spl166), inference(avatar_split_clause, [status(thm)], [p1487, sdef52, sdef166])).
% 24.25/3.86  cnf(p1489, plain, apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,sk2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p134, p579])).
% 24.25/3.86  fof(sdef167, definition, (spl167 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(X2,sk2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl167])], [avatar_definition])).
% 24.25/3.86  cnf(ssp237, plain, (spl53 | spl167), inference(avatar_split_clause, [status(thm)], [p1489, sdef53, sdef167])).
% 24.25/3.86  cnf(p1491, plain, apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk2), inference(resolution, [status(thm)], [p134, p585])).
% 24.25/3.86  fof(sdef168, definition, (spl168 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk2))), introduced(definition, [new_symbols(naming, [spl168])], [avatar_definition])).
% 24.25/3.86  cnf(ssp238, plain, (spl53 | spl168), inference(avatar_split_clause, [status(thm)], [p1491, sdef53, sdef168])).
% 24.25/3.86  cnf(p1493, plain, apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk3) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | distinct_lines(sk2,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p134, p149])).
% 24.25/3.86  fof(sdef169, definition, (spl169 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk3) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | distinct_lines(sk2,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl169])], [avatar_definition])).
% 24.25/3.86  cnf(ssp239, plain, (spl53 | spl169), inference(avatar_split_clause, [status(thm)], [p1493, sdef53, sdef169])).
% 24.25/3.86  cnf(p1496, plain, apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk3) | distinct_lines(X2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p134, p149])).
% 24.25/3.86  fof(sdef170, definition, (spl170 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk3) | distinct_lines(X2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl170])], [avatar_definition])).
% 24.25/3.86  cnf(ssp240, plain, (spl52 | spl170), inference(avatar_split_clause, [status(thm)], [p1496, sdef52, sdef170])).
% 24.25/3.86  cnf(p1500, plain, apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk3) | distinct_lines(X2,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p134, p150])).
% 24.25/3.86  fof(sdef171, definition, (spl171 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk3) | distinct_lines(X2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl171])], [avatar_definition])).
% 24.25/3.86  cnf(ssp241, plain, (spl52 | spl171), inference(avatar_split_clause, [status(thm)], [p1500, sdef52, sdef171])).
% 24.25/3.86  cnf(p1511, plain, apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk2,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p134, p245])).
% 24.25/3.86  fof(sdef172, definition, (spl172 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk2,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl172])], [avatar_definition])).
% 24.25/3.86  cnf(ssp242, plain, (spl53 | spl172), inference(avatar_split_clause, [status(thm)], [p1511, sdef53, sdef172])).
% 24.25/3.86  cnf(p1514, plain, apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk2,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p134, p246])).
% 24.25/3.86  fof(sdef173, definition, (spl173 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk2,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl173])], [avatar_definition])).
% 24.25/3.86  cnf(ssp243, plain, (spl53 | spl173), inference(avatar_split_clause, [status(thm)], [p1514, sdef53, sdef173])).
% 24.25/3.86  cnf(p1518, plain, apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | convergent_lines(sk2,X3) | convergent_lines(X2,X3), inference(resolution, [status(thm)], [p134, p247])).
% 24.25/3.86  fof(sdef174, definition, (spl174 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | convergent_lines(sk2,X3) | convergent_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl174])], [avatar_definition])).
% 24.25/3.86  cnf(ssp244, plain, (spl53 | spl174), inference(avatar_split_clause, [status(thm)], [p1518, sdef53, sdef174])).
% 24.25/3.86  cnf(p1522, plain, apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p134, p250])).
% 24.25/3.86  fof(sdef175, definition, (spl175 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl175])], [avatar_definition])).
% 24.25/3.86  cnf(ssp245, plain, (spl53 | spl175), inference(avatar_split_clause, [status(thm)], [p1522, sdef53, sdef175])).
% 24.25/3.86  cnf(p1525, plain, apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p134, p251])).
% 24.25/3.86  fof(sdef176, definition, (spl176 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl176])], [avatar_definition])).
% 24.25/3.86  cnf(ssp246, plain, (spl53 | spl176), inference(avatar_split_clause, [status(thm)], [p1525, sdef53, sdef176])).
% 24.25/3.86  cnf(p1528, plain, apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk3,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p134, p266])).
% 24.25/3.86  fof(sdef177, definition, (spl177 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(sk3,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl177])], [avatar_definition])).
% 24.25/3.86  cnf(ssp247, plain, (spl52 | spl177), inference(avatar_split_clause, [status(thm)], [p1528, sdef52, sdef177])).
% 24.25/3.86  cnf(p1531, plain, apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk3,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p134, p269])).
% 24.25/3.86  fof(sdef178, definition, (spl178 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk3,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl178])], [avatar_definition])).
% 24.25/3.86  cnf(ssp248, plain, (spl52 | spl178), inference(avatar_split_clause, [status(thm)], [p1531, sdef52, sdef178])).
% 24.25/3.86  cnf(p1534, plain, apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk3,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p134, p270])).
% 24.25/3.86  fof(sdef179, definition, (spl179 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk3,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl179])], [avatar_definition])).
% 24.25/3.86  cnf(ssp249, plain, (spl52 | spl179), inference(avatar_split_clause, [status(thm)], [p1534, sdef52, sdef179])).
% 24.25/3.86  cnf(p1538, plain, apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | convergent_lines(sk3,X3) | convergent_lines(X2,X3), inference(resolution, [status(thm)], [p134, p271])).
% 24.25/3.86  fof(sdef180, definition, (spl180 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X0,X2) | convergent_lines(sk3,X3) | convergent_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl180])], [avatar_definition])).
% 24.25/3.86  cnf(ssp250, plain, (spl52 | spl180), inference(avatar_split_clause, [status(thm)], [p1538, sdef52, sdef180])).
% 24.25/3.86  cnf(p1541, plain, apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk2,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p134, p274])).
% 24.25/3.86  fof(sdef181, definition, (spl181 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | convergent_lines(sk2,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl181])], [avatar_definition])).
% 24.25/3.86  cnf(ssp251, plain, (spl53 | spl181), inference(avatar_split_clause, [status(thm)], [p1541, sdef53, sdef181])).
% 24.25/3.86  cnf(p1543, plain, apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,X0) | convergent_lines(sk2,X3) | convergent_lines(X2,X3), inference(resolution, [status(thm)], [p134, p275])).
% 24.25/3.86  fof(sdef182, definition, (spl182 <=> (apart_point_and_line(intersection_point(sk2,sk3),X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(X2,X0) | convergent_lines(sk2,X3) | convergent_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl182])], [avatar_definition])).
% 24.25/3.86  cnf(ssp252, plain, (spl53 | spl182), inference(avatar_split_clause, [status(thm)], [p1543, sdef53, sdef182])).
% 24.25/3.86  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/sandbox/benchmark/theBenchmark.p', ceq2)).
% 24.25/3.86  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])).
% 24.25/3.86  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])).
% 24.25/3.86  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])).
% 24.25/3.86  cnf(p1083, plain, (distinct_lines(sk2,X0) | apart_point_and_line(sk1,X0) | ~spl2), inference(resolution, [status(thm)], [p948, c12])).
% 24.25/3.86  cnf(p1548, plain, (distinct_lines(sk2,line_connecting(sk1,sk0)) | distinct_points(sk1,sk1) | ~spl2), inference(resolution, [status(thm)], [p1083, p54])).
% 24.25/3.86  fof(sdef183, definition, (spl183 <=> (distinct_lines(sk2,line_connecting(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl183])], [avatar_definition])).
% 24.25/3.86  cnf(ssp253, plain, (~spl2 | spl183 | spl184), inference(avatar_split_clause, [status(thm)], [p1548, sdef183, sdef184])).
% 24.25/3.86  cnf(p1551, plain, (distinct_lines(sk2,line_connecting(sk0,sk1)) | distinct_points(sk1,sk1) | ~spl2), inference(resolution, [status(thm)], [p1083, p60])).
% 24.25/3.86  fof(sdef185, definition, (spl185 <=> (distinct_lines(sk2,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl185])], [avatar_definition])).
% 24.25/3.86  cnf(ssp254, plain, (~spl2 | spl184 | spl185), inference(avatar_split_clause, [status(thm)], [p1551, sdef184, sdef185])).
% 24.25/3.86  cnf(p43, plain, ~apart_point_and_line(X0,line_connecting(sk1,X1)) | distinct_points(X0,sk1) | distinct_points(sk0,X1), inference(resolution, [status(thm)], [c6, p20])).
% 24.25/3.86  cnf(p1554, plain, (distinct_lines(sk2,line_connecting(sk1,X0)) | distinct_points(sk1,sk1) | distinct_points(sk0,X0) | ~spl2), inference(resolution, [status(thm)], [p1083, p43])).
% 24.25/3.86  fof(sdef186, definition, (spl186 <=> (distinct_lines(sk2,line_connecting(sk1,X0)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl186])], [avatar_definition])).
% 24.25/3.86  cnf(ssp255, plain, (~spl2 | spl184 | spl186), inference(avatar_split_clause, [status(thm)], [p1554, sdef184, sdef186])).
% 24.25/3.86  cnf(p46, plain, ~apart_point_and_line(X0,line_connecting(sk1,X1)) | distinct_points(X0,sk1) | distinct_points(sk0,X2) | distinct_points(X2,X1), inference(resolution, [status(thm)], [c6, p22])).
% 24.25/3.86  cnf(p1556, plain, (distinct_lines(sk2,line_connecting(sk1,X0)) | distinct_points(sk1,sk1) | distinct_points(sk0,X1) | distinct_points(X1,X0) | ~spl2), inference(resolution, [status(thm)], [p1083, p46])).
% 24.25/3.86  fof(sdef187, definition, (spl187 <=> (distinct_lines(sk2,line_connecting(sk1,X0)) | distinct_points(sk0,X1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl187])], [avatar_definition])).
% 24.25/3.86  cnf(ssp256, plain, (~spl2 | spl184 | spl187), inference(avatar_split_clause, [status(thm)], [p1556, sdef184, sdef187])).
% 24.25/3.86  cnf(p68, plain, ~apart_point_and_line(X0,line_connecting(X1,sk1)) | distinct_points(X0,sk1) | distinct_points(sk0,X1), inference(resolution, [status(thm)], [c7, p24])).
% 24.25/3.86  cnf(p1559, plain, (distinct_lines(sk2,line_connecting(X0,sk1)) | distinct_points(sk1,sk1) | distinct_points(sk0,X0) | ~spl2), inference(resolution, [status(thm)], [p1083, p68])).
% 24.25/3.86  fof(sdef188, definition, (spl188 <=> (distinct_lines(sk2,line_connecting(X0,sk1)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl188])], [avatar_definition])).
% 24.25/3.86  cnf(ssp257, plain, (~spl2 | spl184 | spl188), inference(avatar_split_clause, [status(thm)], [p1559, sdef184, sdef188])).
% 24.25/3.86  cnf(p72, plain, ~apart_point_and_line(X0,line_connecting(X1,sk1)) | distinct_points(X0,sk1) | distinct_points(X1,sk0), inference(resolution, [status(thm)], [c7, p31])).
% 24.25/3.86  cnf(p1561, plain, (distinct_lines(sk2,line_connecting(X0,sk1)) | distinct_points(sk1,sk1) | distinct_points(X0,sk0) | ~spl2), inference(resolution, [status(thm)], [p1083, p72])).
% 24.25/3.86  fof(sdef189, definition, (spl189 <=> (distinct_lines(sk2,line_connecting(X0,sk1)) | distinct_points(X0,sk0))), introduced(definition, [new_symbols(naming, [spl189])], [avatar_definition])).
% 24.25/3.86  cnf(ssp258, plain, (~spl2 | spl184 | spl189), inference(avatar_split_clause, [status(thm)], [p1561, sdef184, sdef189])).
% 24.25/3.86  cnf(p35, plain, distinct_points(X0,sk0) | distinct_points(X0,X1) | distinct_points(sk1,X1), inference(resolution, [status(thm)], [p31, c3])).
% 24.25/3.86  cnf(p74, plain, distinct_points(X0,sk0) | distinct_points(sk1,X0), inference(resolution, [status(thm)], [p35, c0])).
% 24.25/3.86  cnf(p85, plain, distinct_points(X0,sk0) | ~apart_point_and_line(X1,line_connecting(sk1,X0)) | distinct_points(X1,sk1), inference(resolution, [status(thm)], [p74, c6])).
% 24.25/3.86  cnf(p1565, plain, (distinct_lines(sk2,line_connecting(sk1,X0)) | distinct_points(X0,sk0) | distinct_points(sk1,sk1) | ~spl2), inference(resolution, [status(thm)], [p1083, p85])).
% 24.25/3.86  fof(sdef190, definition, (spl190 <=> (distinct_lines(sk2,line_connecting(sk1,X0)) | distinct_points(X0,sk0))), introduced(definition, [new_symbols(naming, [spl190])], [avatar_definition])).
% 24.25/3.86  cnf(ssp259, plain, (~spl2 | spl184 | spl190), inference(avatar_split_clause, [status(thm)], [p1565, sdef184, sdef190])).
% 24.25/3.86  cnf(p69, plain, ~apart_point_and_line(X0,line_connecting(X1,sk1)) | distinct_points(X0,sk1) | distinct_points(sk0,X2) | distinct_points(X1,X2), inference(resolution, [status(thm)], [c7, p29])).
% 24.25/3.86  cnf(p1580, plain, (distinct_lines(sk2,line_connecting(X0,sk1)) | distinct_points(sk1,sk1) | distinct_points(sk0,X1) | distinct_points(X0,X1) | ~spl2), inference(resolution, [status(thm)], [p1083, p69])).
% 24.25/3.86  fof(sdef191, definition, (spl191 <=> (distinct_lines(sk2,line_connecting(X0,sk1)) | distinct_points(sk0,X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl191])], [avatar_definition])).
% 24.25/3.86  cnf(ssp260, plain, (~spl2 | spl184 | spl191), inference(avatar_split_clause, [status(thm)], [p1580, sdef184, sdef191])).
% 24.25/3.86  cnf(p70, plain, ~apart_point_and_line(X0,line_connecting(sk0,X1)) | distinct_points(X0,X1) | distinct_points(X2,sk1) | distinct_points(X2,X1), inference(resolution, [status(thm)], [c7, p29])).
% 24.25/3.86  cnf(p506, plain, ~apart_point_and_line(X0,line_connecting(sk0,X1)) | distinct_points(X0,X1) | distinct_points(X0,sk1), inference(factoring, [status(thm)], [p70])).
% 24.25/3.86  cnf(p1583, plain, (distinct_lines(sk2,line_connecting(sk0,X0)) | distinct_points(sk1,X0) | distinct_points(sk1,sk1) | ~spl2), inference(resolution, [status(thm)], [p1083, p506])).
% 24.25/3.86  fof(sdef192, definition, (spl192 <=> (distinct_lines(sk2,line_connecting(sk0,X0)) | distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl192])], [avatar_definition])).
% 24.25/3.86  cnf(ssp261, plain, (~spl2 | spl184 | spl192), inference(avatar_split_clause, [status(thm)], [p1583, sdef184, sdef192])).
% 24.25/3.86  cnf(p79, plain, distinct_points(X0,sk0) | distinct_points(X0,X1) | ~apart_point_and_line(X2,line_connecting(sk1,X1)) | distinct_points(X2,sk1), inference(resolution, [status(thm)], [p35, c6])).
% 24.25/3.86  cnf(p1585, plain, (distinct_lines(sk2,line_connecting(sk1,X0)) | distinct_points(X1,sk0) | distinct_points(X1,X0) | distinct_points(sk1,sk1) | ~spl2), inference(resolution, [status(thm)], [p1083, p79])).
% 24.25/3.86  fof(sdef193, definition, (spl193 <=> (distinct_lines(sk2,line_connecting(sk1,X0)) | distinct_points(X1,sk0) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl193])], [avatar_definition])).
% 24.25/3.86  cnf(ssp262, plain, (~spl2 | spl184 | spl193), inference(avatar_split_clause, [status(thm)], [p1585, sdef184, sdef193])).
% 24.25/3.86  cnf(p1549, plain, (distinct_lines(sk2,line_connecting(sk1,sk0)) | ~spl183), inference(avatar_component_clause, [status(thm)], [sdef183])).
% 24.25/3.86  cnf(p1594, plain, (apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | ~spl183), inference(resolution, [status(thm)], [p1549, p131])).
% 24.25/3.86  cnf(ssp263, plain, (~spl183 | spl0 | spl2 | spl194 | spl195), inference(avatar_split_clause, [status(thm)], [p1594, sdef0, sdef2, sdef194, sdef195])).
% 24.25/3.86  cnf(p1597, plain, (apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(sk1,sk0)) | ~spl183), inference(resolution, [status(thm)], [p1549, p132])).
% 24.25/3.86  fof(sdef196, definition, (spl196 <=> (apart_point_and_line(intersection_point(sk2,sk3),line_connecting(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl196])], [avatar_definition])).
% 24.25/3.86  cnf(ssp264, plain, (~spl183 | spl0 | spl52 | spl194 | spl196), inference(avatar_split_clause, [status(thm)], [p1597, sdef0, sdef52, sdef194, sdef196])).
% 24.25/3.86  cnf(p1599, plain, (apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(sk0,X0) | ~spl183), inference(resolution, [status(thm)], [p1549, p133])).
% 24.25/3.86  fof(sdef197, definition, (spl197 <=> (apart_point_and_line(X0,sk2) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl197])], [avatar_definition])).
% 24.25/3.86  cnf(ssp265, plain, (~spl183 | spl2 | spl195 | spl197), inference(avatar_split_clause, [status(thm)], [p1599, sdef2, sdef195, sdef197])).
% 24.25/3.86  cnf(p1601, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(sk1,sk0)) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(sk0,X0) | ~spl183), inference(resolution, [status(thm)], [p1549, p134])).
% 24.25/3.86  cnf(ssp266, plain, (~spl183 | spl52 | spl196 | spl197), inference(avatar_split_clause, [status(thm)], [p1601, sdef52, sdef196, sdef197])).
% 24.25/3.86  cnf(p1552, plain, (distinct_lines(sk2,line_connecting(sk0,sk1)) | ~spl185), inference(avatar_component_clause, [status(thm)], [sdef185])).
% 24.25/3.86  cnf(p1603, plain, (apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | ~spl185), inference(resolution, [status(thm)], [p1552, p131])).
% 24.25/3.86  cnf(ssp267, plain, (~spl185 | spl0 | spl2 | spl198 | spl199), inference(avatar_split_clause, [status(thm)], [p1603, sdef0, sdef2, sdef198, sdef199])).
% 24.25/3.86  cnf(p1606, plain, (apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(sk0,sk1)) | ~spl185), inference(resolution, [status(thm)], [p1552, p132])).
% 24.25/3.86  fof(sdef200, definition, (spl200 <=> (apart_point_and_line(intersection_point(sk2,sk3),line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl200])], [avatar_definition])).
% 24.25/3.86  cnf(ssp268, plain, (~spl185 | spl0 | spl52 | spl198 | spl200), inference(avatar_split_clause, [status(thm)], [p1606, sdef0, sdef52, sdef198, sdef200])).
% 24.25/3.86  cnf(p1608, plain, (apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | distinct_points(sk0,X0) | ~spl185), inference(resolution, [status(thm)], [p1552, p133])).
% 24.25/3.86  fof(sdef201, definition, (spl201 <=> (apart_point_and_line(X0,sk2) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl201])], [avatar_definition])).
% 24.25/3.86  cnf(ssp269, plain, (~spl185 | spl2 | spl199 | spl201), inference(avatar_split_clause, [status(thm)], [p1608, sdef2, sdef199, sdef201])).
% 24.25/3.86  cnf(p1610, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(sk0,sk1)) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | distinct_points(sk0,X0) | ~spl185), inference(resolution, [status(thm)], [p1552, p134])).
% 24.25/3.86  cnf(ssp270, plain, (~spl185 | spl52 | spl200 | spl201), inference(avatar_split_clause, [status(thm)], [p1610, sdef52, sdef200, sdef201])).
% 24.25/3.86  cnf(p135, 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])).
% 24.25/3.86  cnf(p1611, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,sk3) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk3) | distinct_points(sk1,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p135, p19])).
% 24.25/3.86  fof(sdef202, definition, (spl202 <=> (apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk3) | distinct_points(sk1,X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl202])], [avatar_definition])).
% 24.25/3.86  cnf(ssp271, plain, (spl0 | spl1 | spl202), inference(avatar_split_clause, [status(thm)], [p1611, sdef0, sdef1, sdef202])).
% 24.25/3.86  cnf(p1613, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk2,X0), inference(resolution, [status(thm)], [p135, p28])).
% 24.25/3.86  fof(sdef203, definition, (spl203 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl203])], [avatar_definition])).
% 24.25/3.86  cnf(ssp272, plain, (spl1 | spl203), inference(avatar_split_clause, [status(thm)], [p1613, sdef1, sdef203])).
% 24.25/3.86  cnf(p1615, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk3,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p135, p30])).
% 24.25/3.86  fof(sdef204, definition, (spl204 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk3,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl204])], [avatar_definition])).
% 24.25/3.86  cnf(ssp273, plain, (spl0 | spl204), inference(avatar_split_clause, [status(thm)], [p1615, sdef0, sdef204])).
% 24.25/3.86  cnf(p1617, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p135, p30])).
% 24.25/3.86  fof(sdef205, definition, (spl205 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl205])], [avatar_definition])).
% 24.25/3.86  cnf(ssp274, plain, (spl1 | spl205), inference(avatar_split_clause, [status(thm)], [p1617, sdef1, sdef205])).
% 24.25/3.86  cnf(p1620, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X0,sk3), inference(resolution, [status(thm)], [p135, p55])).
% 24.25/3.86  fof(sdef206, definition, (spl206 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X0,sk3))), introduced(definition, [new_symbols(naming, [spl206])], [avatar_definition])).
% 24.25/3.86  cnf(ssp275, plain, (spl0 | spl206), inference(avatar_split_clause, [status(thm)], [p1620, sdef0, sdef206])).
% 24.25/3.86  cnf(p1622, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X0,sk2), inference(resolution, [status(thm)], [p135, p128])).
% 24.25/3.86  fof(sdef207, definition, (spl207 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl207])], [avatar_definition])).
% 24.25/3.86  cnf(ssp276, plain, (spl1 | spl207), inference(avatar_split_clause, [status(thm)], [p1622, sdef1, sdef207])).
% 24.25/3.86  cnf(p1624, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,sk2) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk3,X0), inference(resolution, [status(thm)], [p135, p128])).
% 24.25/3.86  fof(sdef208, definition, (spl208 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk3,X0))), introduced(definition, [new_symbols(naming, [spl208])], [avatar_definition])).
% 24.25/3.86  cnf(ssp277, plain, (spl0 | spl208), inference(avatar_split_clause, [status(thm)], [p1624, sdef0, sdef208])).
% 24.25/3.86  cnf(p1626, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,sk3) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk3) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p135, p59])).
% 24.25/3.86  fof(sdef209, definition, (spl209 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk3) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl209])], [avatar_definition])).
% 24.25/3.86  cnf(ssp278, plain, (spl1 | spl209), inference(avatar_split_clause, [status(thm)], [p1626, sdef1, sdef209])).
% 24.25/3.86  cnf(p1628, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,sk3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p135, p59])).
% 24.25/3.86  fof(sdef210, definition, (spl210 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,sk3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl210])], [avatar_definition])).
% 24.25/3.86  cnf(ssp279, plain, (spl0 | spl210), inference(avatar_split_clause, [status(thm)], [p1628, sdef0, sdef210])).
% 24.25/3.86  cnf(p1632, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(sk2,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p135, p121])).
% 24.25/3.86  fof(sdef211, definition, (spl211 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(sk2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl211])], [avatar_definition])).
% 24.25/3.86  cnf(ssp280, plain, (spl1 | spl211), inference(avatar_split_clause, [status(thm)], [p1632, sdef1, sdef211])).
% 24.25/3.86  cnf(p1635, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,sk2) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p135, p146])).
% 24.25/3.86  fof(sdef212, definition, (spl212 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,sk2) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl212])], [avatar_definition])).
% 24.25/3.86  cnf(ssp281, plain, (spl1 | spl212), inference(avatar_split_clause, [status(thm)], [p1635, sdef1, sdef212])).
% 24.25/3.86  cnf(p1638, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk3,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p135, p147])).
% 24.25/3.86  fof(sdef213, definition, (spl213 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk3,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl213])], [avatar_definition])).
% 24.25/3.86  cnf(ssp282, plain, (spl0 | spl213), inference(avatar_split_clause, [status(thm)], [p1638, sdef0, sdef213])).
% 24.25/3.86  cnf(p1640, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(sk3,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p135, p161])).
% 24.25/3.86  fof(sdef214, definition, (spl214 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(sk3,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl214])], [avatar_definition])).
% 24.25/3.86  cnf(ssp283, plain, (spl0 | spl214), inference(avatar_split_clause, [status(thm)], [p1640, sdef0, sdef214])).
% 24.25/3.86  cnf(p1643, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(sk2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p135, p170])).
% 24.25/3.86  fof(sdef215, definition, (spl215 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(sk2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl215])], [avatar_definition])).
% 24.25/3.86  cnf(ssp284, plain, (spl1 | spl215), inference(avatar_split_clause, [status(thm)], [p1643, sdef1, sdef215])).
% 24.25/3.86  cnf(p1647, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X3,sk3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p135, p290])).
% 24.25/3.86  fof(sdef216, definition, (spl216 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X3,sk3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl216])], [avatar_definition])).
% 24.25/3.86  cnf(ssp285, plain, (spl0 | spl216), inference(avatar_split_clause, [status(thm)], [p1647, sdef0, sdef216])).
% 24.25/3.86  cnf(p1653, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X3,sk2) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p135, p382])).
% 24.25/3.86  fof(sdef217, definition, (spl217 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X3,sk2) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl217])], [avatar_definition])).
% 24.25/3.86  cnf(ssp286, plain, (spl1 | spl217), inference(avatar_split_clause, [status(thm)], [p1653, sdef1, sdef217])).
% 24.25/3.86  cnf(p1655, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(sk3,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p135, p424])).
% 24.25/3.86  fof(sdef218, definition, (spl218 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(sk3,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl218])], [avatar_definition])).
% 24.25/3.86  cnf(ssp287, plain, (spl0 | spl218), inference(avatar_split_clause, [status(thm)], [p1655, sdef0, sdef218])).
% 24.25/3.86  cnf(p1657, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,X0) | distinct_lines(sk2,X4) | distinct_lines(X3,X4), inference(resolution, [status(thm)], [p135, p56])).
% 24.25/3.86  fof(sdef219, definition, (spl219 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,X0) | distinct_lines(sk2,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl219])], [avatar_definition])).
% 24.25/3.86  cnf(ssp288, plain, (spl1 | spl219), inference(avatar_split_clause, [status(thm)], [p1657, sdef1, sdef219])).
% 24.25/3.86  cnf(p1660, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk3,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0), inference(resolution, [status(thm)], [p135, p56])).
% 24.25/3.86  fof(sdef220, definition, (spl220 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk3,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl220])], [avatar_definition])).
% 24.25/3.86  cnf(ssp289, plain, (spl0 | spl220), inference(avatar_split_clause, [status(thm)], [p1660, sdef0, sdef220])).
% 24.25/3.86  cnf(p1663, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(sk3,X4) | distinct_lines(X3,X4), inference(resolution, [status(thm)], [p135, p57])).
% 24.25/3.86  fof(sdef221, definition, (spl221 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(sk3,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl221])], [avatar_definition])).
% 24.25/3.86  cnf(ssp290, plain, (spl0 | spl221), inference(avatar_split_clause, [status(thm)], [p1663, sdef0, sdef221])).
% 24.25/3.86  cnf(p1665, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0), inference(resolution, [status(thm)], [p135, p57])).
% 24.25/3.86  fof(sdef222, definition, (spl222 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl222])], [avatar_definition])).
% 24.25/3.86  cnf(ssp291, plain, (spl1 | spl222), inference(avatar_split_clause, [status(thm)], [p1665, sdef1, sdef222])).
% 24.25/3.86  cnf(p1668, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X3,sk3), inference(resolution, [status(thm)], [p135, p445])).
% 24.25/3.86  fof(sdef223, definition, (spl223 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X3,sk3))), introduced(definition, [new_symbols(naming, [spl223])], [avatar_definition])).
% 24.25/3.86  cnf(ssp292, plain, (spl0 | spl223), inference(avatar_split_clause, [status(thm)], [p1668, sdef0, sdef223])).
% 24.25/3.86  cnf(p1670, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk3,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4), inference(resolution, [status(thm)], [p135, p58])).
% 24.25/3.86  fof(sdef224, definition, (spl224 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk3,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl224])], [avatar_definition])).
% 24.25/3.86  cnf(ssp293, plain, (spl0 | spl224), inference(avatar_split_clause, [status(thm)], [p1670, sdef0, sdef224])).
% 24.25/3.86  cnf(p1672, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X3,X4) | distinct_lines(X0,X4), inference(resolution, [status(thm)], [p135, p58])).
% 24.25/3.86  fof(sdef225, definition, (spl225 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X3,X4) | distinct_lines(X0,X4))), introduced(definition, [new_symbols(naming, [spl225])], [avatar_definition])).
% 24.25/3.86  cnf(ssp294, plain, (spl1 | spl225), inference(avatar_split_clause, [status(thm)], [p1672, sdef1, sdef225])).
% 24.25/3.86  cnf(p1675, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X3,sk3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p135, p530])).
% 24.25/3.86  fof(sdef226, definition, (spl226 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X3,sk3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl226])], [avatar_definition])).
% 24.25/3.86  cnf(ssp295, plain, (spl0 | spl226), inference(avatar_split_clause, [status(thm)], [p1675, sdef0, sdef226])).
% 24.25/3.86  cnf(p1677, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X3,sk2) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p135, p579])).
% 24.25/3.86  fof(sdef227, definition, (spl227 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(X3,sk2) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl227])], [avatar_definition])).
% 24.25/3.86  cnf(ssp296, plain, (spl1 | spl227), inference(avatar_split_clause, [status(thm)], [p1677, sdef1, sdef227])).
% 24.25/3.86  cnf(p1679, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X3,sk2), inference(resolution, [status(thm)], [p135, p585])).
% 24.25/3.86  fof(sdef228, definition, (spl228 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X3,sk2))), introduced(definition, [new_symbols(naming, [spl228])], [avatar_definition])).
% 24.25/3.86  cnf(ssp297, plain, (spl1 | spl228), inference(avatar_split_clause, [status(thm)], [p1679, sdef1, sdef228])).
% 24.25/3.86  cnf(p1681, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,sk3) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk3) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(sk2,X4) | distinct_lines(X3,X4), inference(resolution, [status(thm)], [p135, p149])).
% 24.25/3.86  fof(sdef229, definition, (spl229 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk3) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(sk2,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl229])], [avatar_definition])).
% 24.25/3.86  cnf(ssp298, plain, (spl1 | spl229), inference(avatar_split_clause, [status(thm)], [p1681, sdef1, sdef229])).
% 24.25/3.86  cnf(p1684, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,sk3) | distinct_lines(X3,X4) | distinct_lines(X4,X0), inference(resolution, [status(thm)], [p135, p149])).
% 24.25/3.86  fof(sdef230, definition, (spl230 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,sk3) | distinct_lines(X3,X4) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl230])], [avatar_definition])).
% 24.25/3.86  cnf(ssp299, plain, (spl0 | spl230), inference(avatar_split_clause, [status(thm)], [p1684, sdef0, sdef230])).
% 24.25/3.86  cnf(p1688, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,sk3) | distinct_lines(X3,X4) | distinct_lines(X0,X4), inference(resolution, [status(thm)], [p135, p150])).
% 24.25/3.86  fof(sdef231, definition, (spl231 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,sk3) | distinct_lines(X3,X4) | distinct_lines(X0,X4))), introduced(definition, [new_symbols(naming, [spl231])], [avatar_definition])).
% 24.25/3.86  cnf(ssp300, plain, (spl0 | spl231), inference(avatar_split_clause, [status(thm)], [p1688, sdef0, sdef231])).
% 24.25/3.86  cnf(p1699, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(sk2,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0), inference(resolution, [status(thm)], [p135, p245])).
% 24.25/3.86  fof(sdef232, definition, (spl232 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(sk2,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl232])], [avatar_definition])).
% 24.25/3.86  cnf(ssp301, plain, (spl1 | spl232), inference(avatar_split_clause, [status(thm)], [p1699, sdef1, sdef232])).
% 24.25/3.86  cnf(p1702, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(sk2,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4), inference(resolution, [status(thm)], [p135, p246])).
% 24.25/3.86  fof(sdef233, definition, (spl233 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(sk2,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl233])], [avatar_definition])).
% 24.25/3.86  cnf(ssp302, plain, (spl1 | spl233), inference(avatar_split_clause, [status(thm)], [p1702, sdef1, sdef233])).
% 24.25/3.86  cnf(p1706, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | convergent_lines(sk2,X4) | convergent_lines(X3,X4), inference(resolution, [status(thm)], [p135, p247])).
% 24.25/3.86  fof(sdef234, definition, (spl234 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | convergent_lines(sk2,X4) | convergent_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl234])], [avatar_definition])).
% 24.25/3.86  cnf(ssp303, plain, (spl1 | spl234), inference(avatar_split_clause, [status(thm)], [p1706, sdef1, sdef234])).
% 24.25/3.86  cnf(p1710, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,sk2) | distinct_lines(X3,X4) | distinct_lines(X4,X0), inference(resolution, [status(thm)], [p135, p250])).
% 24.25/3.86  fof(sdef235, definition, (spl235 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,sk2) | distinct_lines(X3,X4) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl235])], [avatar_definition])).
% 24.25/3.86  cnf(ssp304, plain, (spl1 | spl235), inference(avatar_split_clause, [status(thm)], [p1710, sdef1, sdef235])).
% 24.25/3.86  cnf(p1713, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,sk2) | distinct_lines(X3,X4) | distinct_lines(X0,X4), inference(resolution, [status(thm)], [p135, p251])).
% 24.25/3.86  fof(sdef236, definition, (spl236 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,sk2) | distinct_lines(X3,X4) | distinct_lines(X0,X4))), introduced(definition, [new_symbols(naming, [spl236])], [avatar_definition])).
% 24.25/3.86  cnf(ssp305, plain, (spl1 | spl236), inference(avatar_split_clause, [status(thm)], [p1713, sdef1, sdef236])).
% 24.25/3.86  cnf(p1716, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk3,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0), inference(resolution, [status(thm)], [p135, p266])).
% 24.25/3.86  fof(sdef237, definition, (spl237 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(sk3,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl237])], [avatar_definition])).
% 24.25/3.86  cnf(ssp306, plain, (spl0 | spl237), inference(avatar_split_clause, [status(thm)], [p1716, sdef0, sdef237])).
% 24.25/3.86  cnf(p1719, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(sk3,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0), inference(resolution, [status(thm)], [p135, p269])).
% 24.25/3.86  fof(sdef238, definition, (spl238 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(sk3,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl238])], [avatar_definition])).
% 24.25/3.86  cnf(ssp307, plain, (spl0 | spl238), inference(avatar_split_clause, [status(thm)], [p1719, sdef0, sdef238])).
% 24.25/3.86  cnf(p1722, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(sk3,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4), inference(resolution, [status(thm)], [p135, p270])).
% 24.25/3.86  fof(sdef239, definition, (spl239 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(sk3,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl239])], [avatar_definition])).
% 24.25/3.86  cnf(ssp308, plain, (spl0 | spl239), inference(avatar_split_clause, [status(thm)], [p1722, sdef0, sdef239])).
% 24.25/3.86  cnf(p1726, plain, apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | convergent_lines(sk3,X4) | convergent_lines(X3,X4), inference(resolution, [status(thm)], [p135, p271])).
% 24.25/3.86  fof(sdef240, definition, (spl240 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | convergent_lines(sk3,X4) | convergent_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl240])], [avatar_definition])).
% 24.25/3.86  cnf(ssp309, plain, (spl0 | spl240), inference(avatar_split_clause, [status(thm)], [p1726, sdef0, sdef240])).
% 24.25/3.86  cnf(p1729, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(sk2,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0), inference(resolution, [status(thm)], [p135, p274])).
% 24.25/3.86  fof(sdef241, definition, (spl241 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | convergent_lines(sk2,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl241])], [avatar_definition])).
% 24.25/3.86  cnf(ssp310, plain, (spl1 | spl241), inference(avatar_split_clause, [status(thm)], [p1729, sdef1, sdef241])).
% 24.25/3.86  cnf(p1731, plain, apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,X0) | convergent_lines(sk2,X4) | convergent_lines(X3,X4), inference(resolution, [status(thm)], [p135, p275])).
% 24.25/3.86  fof(sdef242, definition, (spl242 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,sk3) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(X3,X0) | convergent_lines(sk2,X4) | convergent_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl242])], [avatar_definition])).
% 24.25/3.86  cnf(ssp311, plain, (spl1 | spl242), inference(avatar_split_clause, [status(thm)], [p1731, sdef1, sdef242])).
% 24.25/3.86  cnf(p1736, plain, (apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(sk1,X1) | distinct_points(X0,X1) | ~spl183), inference(resolution, [status(thm)], [p135, p1549])).
% 24.25/3.86  fof(sdef243, definition, (spl243 <=> (apart_point_and_line(X0,sk2) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(sk1,X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl243])], [avatar_definition])).
% 24.25/3.86  cnf(ssp312, plain, (~spl183 | spl0 | spl194 | spl243), inference(avatar_split_clause, [status(thm)], [p1736, sdef0, sdef194, sdef243])).
% 24.25/3.86  cnf(p1738, plain, (apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | distinct_points(sk1,X1) | distinct_points(X0,X1) | ~spl185), inference(resolution, [status(thm)], [p135, p1552])).
% 24.25/3.86  fof(sdef244, definition, (spl244 <=> (apart_point_and_line(X0,sk2) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | distinct_points(sk1,X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl244])], [avatar_definition])).
% 24.25/3.86  cnf(ssp313, plain, (~spl185 | spl0 | spl198 | spl244), inference(avatar_split_clause, [status(thm)], [p1738, sdef0, sdef198, sdef244])).
% 24.25/3.86  cnf(p105, plain, convergent_lines(sk2,X0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(X0,sk3)), inference(resolution, [status(thm)], [p91, c8])).
% 24.25/3.86  cnf(p1743, plain, (convergent_lines(sk2,line_connecting(sk1,sk0)) | distinct_points(sk0,intersection_point(line_connecting(sk1,sk0),sk3)) | ~spl194), inference(resolution, [status(thm)], [p1595, p105])).
% 24.25/3.86  fof(sdef245, definition, (spl245 <=> (convergent_lines(sk2,line_connecting(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl245])], [avatar_definition])).
% 24.25/3.86  fof(sdef246, definition, (spl246 <=> (distinct_points(sk0,intersection_point(line_connecting(sk1,sk0),sk3)))), introduced(definition, [new_symbols(naming, [spl246])], [avatar_definition])).
% 24.25/3.86  cnf(ssp314, plain, (~spl194 | spl245 | spl246), inference(avatar_split_clause, [status(thm)], [p1743, sdef245, sdef246])).
% 24.25/3.86  cnf(p101, plain, convergent_lines(X0,sk3) | distinct_lines(sk2,X0), inference(resolution, [status(thm)], [p91, c13])).
% 24.25/3.86  cnf(p106, plain, distinct_lines(sk2,X0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(X0,sk3)), inference(resolution, [status(thm)], [p101, c8])).
% 24.25/3.86  cnf(p1746, plain, (distinct_lines(sk2,line_connecting(sk1,sk0)) | distinct_points(sk0,intersection_point(line_connecting(sk1,sk0),sk3)) | ~spl194), inference(resolution, [status(thm)], [p1595, p106])).
% 24.25/3.86  cnf(ssp315, plain, (~spl194 | spl183 | spl246), inference(avatar_split_clause, [status(thm)], [p1746, sdef183, sdef246])).
% 24.25/3.86  cnf(p108, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(sk3,X1)) | convergent_lines(sk2,X1), inference(resolution, [status(thm)], [c9, p36])).
% 24.25/3.86  cnf(p1747, plain, (distinct_points(sk0,intersection_point(sk3,line_connecting(sk1,sk0))) | convergent_lines(sk2,line_connecting(sk1,sk0)) | ~spl194), inference(resolution, [status(thm)], [p1595, p108])).
% 24.25/3.86  fof(sdef247, definition, (spl247 <=> (distinct_points(sk0,intersection_point(sk3,line_connecting(sk1,sk0))))), introduced(definition, [new_symbols(naming, [spl247])], [avatar_definition])).
% 24.25/3.86  cnf(ssp316, plain, (~spl194 | spl245 | spl247), inference(avatar_split_clause, [status(thm)], [p1747, sdef245, sdef247])).
% 24.25/3.86  cnf(p109, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(sk2,X1)) | distinct_lines(sk3,X1), inference(resolution, [status(thm)], [c9, p37])).
% 24.25/3.86  cnf(p1749, plain, (distinct_points(sk0,intersection_point(sk2,line_connecting(sk1,sk0))) | distinct_lines(sk3,line_connecting(sk1,sk0)) | ~spl194), inference(resolution, [status(thm)], [p1595, p109])).
% 24.25/3.86  fof(sdef248, definition, (spl248 <=> (distinct_points(sk0,intersection_point(sk2,line_connecting(sk1,sk0))))), introduced(definition, [new_symbols(naming, [spl248])], [avatar_definition])).
% 24.25/3.86  fof(sdef249, definition, (spl249 <=> (distinct_lines(sk3,line_connecting(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl249])], [avatar_definition])).
% 24.25/3.86  cnf(ssp317, plain, (~spl194 | spl248 | spl249), inference(avatar_split_clause, [status(thm)], [p1749, sdef248, sdef249])).
% 24.25/3.86  cnf(p113, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(sk2,X1)) | convergent_lines(X1,sk3), inference(resolution, [status(thm)], [c9, p91])).
% 24.25/3.86  cnf(p1752, plain, (distinct_points(sk0,intersection_point(sk2,line_connecting(sk1,sk0))) | convergent_lines(line_connecting(sk1,sk0),sk3) | ~spl194), inference(resolution, [status(thm)], [p1595, p113])).
% 24.25/3.86  fof(sdef250, definition, (spl250 <=> (convergent_lines(line_connecting(sk1,sk0),sk3))), introduced(definition, [new_symbols(naming, [spl250])], [avatar_definition])).
% 24.25/3.86  cnf(ssp318, plain, (~spl194 | spl248 | spl250), inference(avatar_split_clause, [status(thm)], [p1752, sdef248, sdef250])).
% 24.25/3.86  cnf(p118, plain, distinct_lines(X0,sk3) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(sk2,X0)), inference(resolution, [status(thm)], [p102, c9])).
% 24.25/3.86  cnf(p1754, plain, (distinct_lines(line_connecting(sk1,sk0),sk3) | distinct_points(sk0,intersection_point(sk2,line_connecting(sk1,sk0))) | ~spl194), inference(resolution, [status(thm)], [p1595, p118])).
% 24.25/3.86  fof(sdef251, definition, (spl251 <=> (distinct_lines(line_connecting(sk1,sk0),sk3))), introduced(definition, [new_symbols(naming, [spl251])], [avatar_definition])).
% 24.25/3.86  cnf(ssp319, plain, (~spl194 | spl248 | spl251), inference(avatar_split_clause, [status(thm)], [p1754, sdef248, sdef251])).
% 24.25/3.86  cnf(p129, plain, distinct_lines(sk3,X0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(X0,sk2)), inference(resolution, [status(thm)], [p119, c8])).
% 24.25/3.86  cnf(p1756, plain, (distinct_lines(sk3,line_connecting(sk1,sk0)) | distinct_points(sk0,intersection_point(line_connecting(sk1,sk0),sk2)) | ~spl194), inference(resolution, [status(thm)], [p1595, p129])).
% 24.25/3.86  fof(sdef252, definition, (spl252 <=> (distinct_points(sk0,intersection_point(line_connecting(sk1,sk0),sk2)))), introduced(definition, [new_symbols(naming, [spl252])], [avatar_definition])).
% 24.25/3.86  cnf(ssp320, plain, (~spl194 | spl249 | spl252), inference(avatar_split_clause, [status(thm)], [p1756, sdef249, sdef252])).
% 24.25/3.86  cnf(p159, plain, convergent_lines(sk3,X0) | distinct_lines(sk2,X0), inference(resolution, [status(thm)], [p92, c2])).
% 24.25/3.86  cnf(p169, plain, distinct_lines(sk2,X0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(sk3,X0)), inference(resolution, [status(thm)], [p159, c9])).
% 24.25/3.86  cnf(p1758, plain, (distinct_lines(sk2,line_connecting(sk1,sk0)) | distinct_points(sk0,intersection_point(sk3,line_connecting(sk1,sk0))) | ~spl194), inference(resolution, [status(thm)], [p1595, p169])).
% 24.25/3.86  cnf(ssp321, plain, (~spl194 | spl183 | spl247), inference(avatar_split_clause, [status(thm)], [p1758, sdef183, sdef247])).
% 24.25/3.86  cnf(p197, plain, convergent_lines(X0,sk2) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(X0,sk3)), inference(resolution, [status(thm)], [p183, c8])).
% 24.25/3.86  cnf(p1759, plain, (convergent_lines(line_connecting(sk1,sk0),sk2) | distinct_points(sk0,intersection_point(line_connecting(sk1,sk0),sk3)) | ~spl194), inference(resolution, [status(thm)], [p1595, p197])).
% 24.25/3.86  fof(sdef253, definition, (spl253 <=> (convergent_lines(line_connecting(sk1,sk0),sk2))), introduced(definition, [new_symbols(naming, [spl253])], [avatar_definition])).
% 24.25/3.86  cnf(ssp322, plain, (~spl194 | spl246 | spl253), inference(avatar_split_clause, [status(thm)], [p1759, sdef246, sdef253])).
% 24.25/3.86  cnf(p195, plain, convergent_lines(X0,sk2) | distinct_lines(X0,sk3), inference(resolution, [status(thm)], [p183, c13])).
% 24.25/3.86  cnf(p214, plain, distinct_lines(X0,sk3) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(X0,sk2)), inference(resolution, [status(thm)], [p195, c8])).
% 24.25/3.86  cnf(p1761, plain, (distinct_lines(line_connecting(sk1,sk0),sk3) | distinct_points(sk0,intersection_point(line_connecting(sk1,sk0),sk2)) | ~spl194), inference(resolution, [status(thm)], [p1595, p214])).
% 24.25/3.86  cnf(ssp323, plain, (~spl194 | spl251 | spl252), inference(avatar_split_clause, [status(thm)], [p1761, sdef251, sdef252])).
% 24.25/3.86  cnf(p306, plain, distinct_lines(X0,sk2) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(X0,sk3)), inference(resolution, [status(thm)], [p297, c8])).
% 24.25/3.86  cnf(p1762, plain, (distinct_lines(line_connecting(sk1,sk0),sk2) | distinct_points(sk0,intersection_point(line_connecting(sk1,sk0),sk3)) | ~spl194), inference(resolution, [status(thm)], [p1595, p306])).
% 24.25/3.86  fof(sdef254, definition, (spl254 <=> (distinct_lines(line_connecting(sk1,sk0),sk2))), introduced(definition, [new_symbols(naming, [spl254])], [avatar_definition])).
% 24.25/3.86  cnf(ssp324, plain, (~spl194 | spl246 | spl254), inference(avatar_split_clause, [status(thm)], [p1762, sdef246, sdef254])).
% 24.25/3.86  cnf(p337, plain, convergent_lines(sk3,X0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(X0,sk2)), inference(resolution, [status(thm)], [p308, c8])).
% 24.25/3.86  cnf(p1764, plain, (convergent_lines(sk3,line_connecting(sk1,sk0)) | distinct_points(sk0,intersection_point(line_connecting(sk1,sk0),sk2)) | ~spl194), inference(resolution, [status(thm)], [p1595, p337])).
% 24.25/3.86  fof(sdef255, definition, (spl255 <=> (convergent_lines(sk3,line_connecting(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl255])], [avatar_definition])).
% 24.25/3.86  cnf(ssp325, plain, (~spl194 | spl252 | spl255), inference(avatar_split_clause, [status(thm)], [p1764, sdef252, sdef255])).
% 24.25/3.86  cnf(p340, plain, convergent_lines(X0,sk2) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(sk3,X0)), inference(resolution, [status(thm)], [p308, c9])).
% 24.25/3.86  cnf(p1766, plain, (convergent_lines(line_connecting(sk1,sk0),sk2) | distinct_points(sk0,intersection_point(sk3,line_connecting(sk1,sk0))) | ~spl194), inference(resolution, [status(thm)], [p1595, p340])).
% 24.25/3.86  cnf(ssp326, plain, (~spl194 | spl247 | spl253), inference(avatar_split_clause, [status(thm)], [p1766, sdef247, sdef253])).
% 24.25/3.86  cnf(p335, plain, convergent_lines(sk3,X0) | distinct_lines(X0,sk2), inference(resolution, [status(thm)], [p308, c13])).
% 24.25/3.86  cnf(p342, plain, distinct_lines(X0,sk2) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(sk3,X0)), inference(resolution, [status(thm)], [p335, c9])).
% 24.25/3.86  cnf(p1767, plain, (distinct_lines(line_connecting(sk1,sk0),sk2) | distinct_points(sk0,intersection_point(sk3,line_connecting(sk1,sk0))) | ~spl194), inference(resolution, [status(thm)], [p1595, p342])).
% 24.25/3.86  cnf(ssp327, plain, (~spl194 | spl247 | spl254), inference(avatar_split_clause, [status(thm)], [p1767, sdef247, sdef254])).
% 24.25/3.86  cnf(p1751, plain, (distinct_lines(sk3,line_connecting(sk1,sk0)) | ~spl249), inference(avatar_component_clause, [status(thm)], [sdef249])).
% 24.25/3.86  cnf(p2028, plain, (apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | ~spl249), inference(resolution, [status(thm)], [p1751, p131])).
% 24.25/3.86  cnf(ssp328, plain, (~spl249 | spl1 | spl3 | spl194 | spl195), inference(avatar_split_clause, [status(thm)], [p2028, sdef1, sdef3, sdef194, sdef195])).
% 24.25/3.86  cnf(p2029, plain, (apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(sk1,sk0)) | ~spl249), inference(resolution, [status(thm)], [p1751, p132])).
% 24.25/3.86  cnf(ssp329, plain, (~spl249 | spl1 | spl53 | spl194 | spl196), inference(avatar_split_clause, [status(thm)], [p2029, sdef1, sdef53, sdef194, sdef196])).
% 24.25/3.86  cnf(p1755, plain, (distinct_lines(line_connecting(sk1,sk0),sk3) | ~spl251), inference(avatar_component_clause, [status(thm)], [sdef251])).
% 24.25/3.86  cnf(p2040, plain, (apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk0,sk3) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,sk3) | ~spl251), inference(resolution, [status(thm)], [p1755, p131])).
% 24.25/3.86  cnf(ssp330, plain, (~spl251 | spl1 | spl3 | spl194 | spl195), inference(avatar_split_clause, [status(thm)], [p2040, sdef1, sdef3, sdef194, sdef195])).
% 24.25/3.86  cnf(p2041, plain, (apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk0,sk3) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(sk1,sk0)) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | ~spl251), inference(resolution, [status(thm)], [p1755, p132])).
% 24.25/3.86  cnf(ssp331, plain, (~spl251 | spl1 | spl53 | spl194 | spl196), inference(avatar_split_clause, [status(thm)], [p2041, sdef1, sdef53, sdef194, sdef196])).
% 24.25/3.86  cnf(p1763, plain, (distinct_lines(line_connecting(sk1,sk0),sk2) | ~spl254), inference(avatar_component_clause, [status(thm)], [sdef254])).
% 24.25/3.86  cnf(p2140, plain, (apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk0,sk2) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,sk2) | ~spl254), inference(resolution, [status(thm)], [p1763, p131])).
% 24.25/3.86  cnf(ssp332, plain, (~spl254 | spl0 | spl2 | spl194 | spl195), inference(avatar_split_clause, [status(thm)], [p2140, sdef0, sdef2, sdef194, sdef195])).
% 24.25/3.86  cnf(p2141, plain, (apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk0,sk2) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(sk1,sk0)) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | ~spl254), inference(resolution, [status(thm)], [p1763, p132])).
% 24.25/3.86  cnf(ssp333, plain, (~spl254 | spl0 | spl52 | spl194 | spl196), inference(avatar_split_clause, [status(thm)], [p2141, sdef0, sdef52, sdef194, sdef196])).
% 24.25/3.86  cnf(p2142, plain, (apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,sk2) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | apart_point_and_line(X0,sk2) | distinct_points(sk0,X0) | ~spl254), inference(resolution, [status(thm)], [p1763, p133])).
% 24.25/3.86  cnf(ssp334, plain, (~spl254 | spl2 | spl195 | spl197), inference(avatar_split_clause, [status(thm)], [p2142, sdef2, sdef195, sdef197])).
% 24.25/3.86  cnf(p2143, plain, (apart_point_and_line(intersection_point(sk2,sk3),line_connecting(sk1,sk0)) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | apart_point_and_line(X0,sk2) | distinct_points(sk0,X0) | ~spl254), inference(resolution, [status(thm)], [p1763, p134])).
% 24.25/3.86  cnf(ssp335, plain, (~spl254 | spl52 | spl196 | spl197), inference(avatar_split_clause, [status(thm)], [p2143, sdef52, sdef196, sdef197])).
% 24.25/3.86  cnf(p2144, plain, (apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk0,sk2) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | apart_point_and_line(X0,sk2) | distinct_points(sk1,X1) | distinct_points(X0,X1) | ~spl254), inference(resolution, [status(thm)], [p1763, p135])).
% 24.25/3.86  cnf(ssp336, plain, (~spl254 | spl0 | spl194 | spl243), inference(avatar_split_clause, [status(thm)], [p2144, sdef0, sdef194, sdef243])).
% 24.25/3.86  cnf(p1744, plain, (convergent_lines(sk2,line_connecting(sk1,sk0)) | ~spl245), inference(avatar_component_clause, [status(thm)], [sdef245])).
% 24.25/3.86  cnf(p2023, plain, (distinct_lines(sk2,line_connecting(sk1,sk0)) | ~spl245), inference(resolution, [status(thm)], [p1744, c13])).
% 24.25/3.86  cnf(p2153, plain, (apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | ~spl245), inference(resolution, [status(thm)], [p2023, p131])).
% 24.25/3.86  cnf(ssp337, plain, (~spl245 | spl0 | spl2 | spl194 | spl195), inference(avatar_split_clause, [status(thm)], [p2153, sdef0, sdef2, sdef194, sdef195])).
% 24.25/3.86  cnf(p2154, plain, (apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(sk1,sk0)) | ~spl245), inference(resolution, [status(thm)], [p2023, p132])).
% 24.25/3.86  cnf(ssp338, plain, (~spl245 | spl0 | spl52 | spl194 | spl196), inference(avatar_split_clause, [status(thm)], [p2154, sdef0, sdef52, sdef194, sdef196])).
% 24.25/3.86  cnf(p2155, plain, (apart_point_and_line(sk1,sk2) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(sk0,X0) | ~spl245), inference(resolution, [status(thm)], [p2023, p133])).
% 24.25/3.86  cnf(ssp339, plain, (~spl245 | spl2 | spl195 | spl197), inference(avatar_split_clause, [status(thm)], [p2155, sdef2, sdef195, sdef197])).
% 24.25/3.86  cnf(p2156, plain, (apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(sk1,sk0)) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(sk0,X0) | ~spl245), inference(resolution, [status(thm)], [p2023, p134])).
% 24.25/3.86  cnf(ssp340, plain, (~spl245 | spl52 | spl196 | spl197), inference(avatar_split_clause, [status(thm)], [p2156, sdef52, sdef196, sdef197])).
% 24.25/3.86  cnf(p2157, plain, (apart_point_and_line(sk0,sk2) | apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(sk1,X1) | distinct_points(X0,X1) | ~spl245), inference(resolution, [status(thm)], [p2023, p135])).
% 24.25/3.86  cnf(ssp341, plain, (~spl245 | spl0 | spl194 | spl243), inference(avatar_split_clause, [status(thm)], [p2157, sdef0, sdef194, sdef243])).
% 24.25/3.86  cnf(p1753, plain, (convergent_lines(line_connecting(sk1,sk0),sk3) | ~spl250), inference(avatar_component_clause, [status(thm)], [sdef250])).
% 24.25/3.86  cnf(p2035, plain, (distinct_lines(line_connecting(sk1,sk0),sk3) | ~spl250), inference(resolution, [status(thm)], [p1753, c13])).
% 24.25/3.86  cnf(p2252, plain, (apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk0,sk3) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,sk3) | ~spl250), inference(resolution, [status(thm)], [p2035, p131])).
% 24.25/3.86  cnf(ssp342, plain, (~spl250 | spl1 | spl3 | spl194 | spl195), inference(avatar_split_clause, [status(thm)], [p2252, sdef1, sdef3, sdef194, sdef195])).
% 24.25/3.86  cnf(p2253, plain, (apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk0,sk3) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(sk1,sk0)) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | ~spl250), inference(resolution, [status(thm)], [p2035, p132])).
% 24.25/3.86  cnf(ssp343, plain, (~spl250 | spl1 | spl53 | spl194 | spl196), inference(avatar_split_clause, [status(thm)], [p2253, sdef1, sdef53, sdef194, sdef196])).
% 24.25/3.86  cnf(p1760, plain, (convergent_lines(line_connecting(sk1,sk0),sk2) | ~spl253), inference(avatar_component_clause, [status(thm)], [sdef253])).
% 24.25/3.86  cnf(p2135, plain, (distinct_lines(line_connecting(sk1,sk0),sk2) | ~spl253), inference(resolution, [status(thm)], [p1760, c13])).
% 24.25/3.86  cnf(p2262, plain, (apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk0,sk2) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,sk2) | ~spl253), inference(resolution, [status(thm)], [p2135, p131])).
% 24.25/3.86  cnf(ssp344, plain, (~spl253 | spl0 | spl2 | spl194 | spl195), inference(avatar_split_clause, [status(thm)], [p2262, sdef0, sdef2, sdef194, sdef195])).
% 24.25/3.86  cnf(p2263, plain, (apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk0,sk2) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(sk1,sk0)) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | ~spl253), inference(resolution, [status(thm)], [p2135, p132])).
% 24.25/3.86  cnf(ssp345, plain, (~spl253 | spl0 | spl52 | spl194 | spl196), inference(avatar_split_clause, [status(thm)], [p2263, sdef0, sdef52, sdef194, sdef196])).
% 24.25/3.86  cnf(p2264, plain, (apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,sk2) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | apart_point_and_line(X0,sk2) | distinct_points(sk0,X0) | ~spl253), inference(resolution, [status(thm)], [p2135, p133])).
% 24.25/3.86  cnf(ssp346, plain, (~spl253 | spl2 | spl195 | spl197), inference(avatar_split_clause, [status(thm)], [p2264, sdef2, sdef195, sdef197])).
% 24.25/3.86  cnf(p2265, plain, (apart_point_and_line(intersection_point(sk2,sk3),line_connecting(sk1,sk0)) | apart_point_and_line(intersection_point(sk2,sk3),sk2) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | apart_point_and_line(X0,sk2) | distinct_points(sk0,X0) | ~spl253), inference(resolution, [status(thm)], [p2135, p134])).
% 24.25/3.86  cnf(ssp347, plain, (~spl253 | spl52 | spl196 | spl197), inference(avatar_split_clause, [status(thm)], [p2265, sdef52, sdef196, sdef197])).
% 24.25/3.86  cnf(p2266, plain, (apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk0,sk2) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | apart_point_and_line(X0,sk2) | distinct_points(sk1,X1) | distinct_points(X0,X1) | ~spl253), inference(resolution, [status(thm)], [p2135, p135])).
% 24.25/3.86  cnf(ssp348, plain, (~spl253 | spl0 | spl194 | spl243), inference(avatar_split_clause, [status(thm)], [p2266, sdef0, sdef194, sdef243])).
% 24.25/3.86  cnf(p1765, plain, (convergent_lines(sk3,line_connecting(sk1,sk0)) | ~spl255), inference(avatar_component_clause, [status(thm)], [sdef255])).
% 24.25/3.86  cnf(p2148, plain, (distinct_lines(sk3,line_connecting(sk1,sk0)) | ~spl255), inference(resolution, [status(thm)], [p1765, c13])).
% 24.25/3.86  cnf(p2272, plain, (apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,sk3) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | ~spl255), inference(resolution, [status(thm)], [p2148, p131])).
% 24.25/3.86  cnf(ssp349, plain, (~spl255 | spl1 | spl3 | spl194 | spl195), inference(avatar_split_clause, [status(thm)], [p2272, sdef1, sdef3, sdef194, sdef195])).
% 24.25/3.86  cnf(p2273, plain, (apart_point_and_line(sk0,sk3) | apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(intersection_point(sk2,sk3),sk3) | apart_point_and_line(intersection_point(sk2,sk3),line_connecting(sk1,sk0)) | ~spl255), inference(resolution, [status(thm)], [p2148, p132])).
% 24.25/3.86  cnf(ssp350, plain, (~spl255 | spl1 | spl53 | spl194 | spl196), inference(avatar_split_clause, [status(thm)], [p2273, sdef1, sdef53, sdef194, sdef196])).
% 24.25/3.86  cnf(p949, plain, (apart_point_and_line(sk1,sk3) | ~spl3), inference(avatar_component_clause, [status(thm)], [sdef3])).
% 24.25/3.86  cnf(p1098, plain, (distinct_lines(sk3,X0) | apart_point_and_line(sk1,X0) | ~spl3), inference(resolution, [status(thm)], [p949, c12])).
% 24.25/3.86  cnf(p2387, plain, (distinct_lines(sk3,line_connecting(sk1,sk0)) | distinct_points(sk1,sk1) | ~spl3), inference(resolution, [status(thm)], [p1098, p54])).
% 24.25/3.86  cnf(ssp351, plain, (~spl3 | spl184 | spl249), inference(avatar_split_clause, [status(thm)], [p2387, sdef184, sdef249])).
% 24.25/3.86  cnf(sat_ref, plain, $false, inference(avatar_sat_refutation, [status(thm)], [ssp0, ssp1, ssp2, ssp3, ssp4, ssp5, ssp6, ssp7, ssp8, ssp9, ssp10, ssp11, ssp12, ssp13, ssp14, ssp15, ssp16, ssp17, ssp18, ssp19, ssp20, ssp21, ssp22, ssp23, ssp24, ssp25, ssp26, ssp27, ssp28, ssp29, ssp30, ssp31, ssp32, ssp33, ssp34, ssp35, ssp36, ssp37, ssp38, ssp39, ssp40, ssp41, ssp42, ssp43, ssp44, ssp45, ssp46, ssp47, ssp48, ssp49, ssp50, ssp51, ssp52, ssp53, ssp54, ssp55, ssp56, ssp57, ssp58, ssp59, ssp60, ssp61, ssp62, ssp63, ssp64, ssp65, ssp66, ssp67, ssp68, ssp69, ssp70, ssp71, ssp72, ssp73, ssp74, ssp75, ssp76, ssp77, ssp78, ssp79, ssp80, ssp81, ssp82, ssp83, ssp84, ssp85, ssp86, ssp87, ssp88, ssp89, ssp90, ssp91, ssp92, ssp93, ssp94, ssp95, ssp96, ssp97, ssp98, ssp99, ssp100, ssp101, ssp102, ssp103, ssp104, ssp105, ssp106, ssp107, ssp108, ssp109, ssp110, ssp111, ssp112, ssp113, ssp114, ssp115, ssp116, ssp117, ssp118, ssp119, ssp120, ssp121, ssp122, ssp123, ssp124, ssp125, ssp126, ssp127, ssp128, ssp129, ssp130, ssp131, ssp132, ssp133, ssp134, ssp135, ssp136, ssp137, ssp138, ssp139, ssp140, ssp141, ssp142, ssp143, ssp144, ssp145, ssp146, ssp147, ssp148, ssp149, ssp150, ssp151, ssp152, ssp153, ssp154, ssp155, ssp156, ssp157, ssp158, ssp159, ssp160, ssp161, ssp162, ssp163, ssp164, ssp165, ssp166, ssp167, ssp168, ssp169, ssp170, ssp171, ssp172, ssp173, ssp174, ssp175, ssp176, ssp177, ssp178, ssp179, ssp180, ssp181, ssp182, ssp183, ssp184, ssp185, ssp186, ssp187, ssp188, ssp189, ssp190, ssp191, ssp192, ssp193, ssp194, ssp195, ssp196, ssp197, ssp198, ssp199, ssp200, ssp201, ssp202, ssp203, ssp204, ssp205, ssp206, ssp207, ssp208, ssp209, ssp210, ssp211, ssp212, ssp213, ssp214, ssp215, ssp216, ssp217, ssp218, ssp219, ssp220, ssp221, ssp222, ssp223, ssp224, ssp225, ssp226, ssp227, ssp228, ssp229, ssp230, ssp231, ssp232, ssp233, ssp234, ssp235, ssp236, ssp237, ssp238, ssp239, ssp240, ssp241, ssp242, ssp243, ssp244, ssp245, ssp246, ssp247, ssp248, ssp249, ssp250, ssp251, ssp252, ssp253, ssp254, ssp255, ssp256, ssp257, ssp258, ssp259, ssp260, ssp261, ssp262, ssp263, ssp264, ssp265, ssp266, ssp267, ssp268, ssp269, ssp270, ssp271, ssp272, ssp273, ssp274, ssp275, ssp276, ssp277, ssp278, ssp279, ssp280, ssp281, ssp282, ssp283, ssp284, ssp285, ssp286, ssp287, ssp288, ssp289, ssp290, ssp291, ssp292, ssp293, ssp294, ssp295, ssp296, ssp297, ssp298, ssp299, ssp300, ssp301, ssp302, ssp303, ssp304, ssp305, ssp306, ssp307, ssp308, ssp309, ssp310, ssp311, ssp312, ssp313, ssp314, ssp315, ssp316, ssp317, ssp318, ssp319, ssp320, ssp321, ssp322, ssp323, ssp324, ssp325, ssp326, ssp327, ssp328, ssp329, ssp330, ssp331, ssp332, ssp333, ssp334, ssp335, ssp336, ssp337, ssp338, ssp339, ssp340, ssp341, ssp342, ssp343, ssp344, ssp345, ssp346, ssp347, ssp348, ssp349, ssp350, ssp351, sct0, sct1, sct2, sct3, sct4, sct5, sct6, sct7, sct8, sct9])).
% 24.25/3.86  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------