%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO203+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.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 01:17:28 PM UTC 2026
% Result : Theorem 29.07s 4.49s
% Output : Proof 29.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO203+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 11:27:34 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 29.07/4.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.07/4.49 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.07/4.49 fof(sdef0, definition, (spl0 <=> (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,X0))), introduced(definition, [new_symbols(naming, [spl0])], [avatar_definition])).
% 29.07/4.49 cnf(p247, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(X0,X0) | ~spl0), inference(avatar_component_clause, [status(thm)], [sdef0])).
% 29.07/4.49 fof(f0, axiom, ! [X] : ~ distinct_points(X,X), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart1)).
% 29.07/4.49 fof(f0_nnf, plain, ! [X] : (~(distinct_points(X,X))), inference(nnf_transformation, [status(thm)], [f0])).
% 29.07/4.49 fof(f0_sk, plain, ! [X] : (~(distinct_points(X,X))), inference(skolemisation, [status(esa)], [f0_nnf])).
% 29.07/4.49 cnf(c0, plain, ~distinct_points(X0,X0), inference(cnf_transformation, [status(esa)], [f0_sk])).
% 29.07/4.49 cnf(p264, plain, (distinct_points(intersection_point(sk0,sk1),X0) | ~spl0), inference(resolution, [status(thm)], [p247, c0])).
% 29.07/4.49 cnf(p265, plain, ($false | ~spl0), inference(resolution, [status(thm)], [p264, c0])).
% 29.07/4.49 cnf(sct0, plain, (~spl0), inference(avatar_contradiction_clause, [status(thm)], [p265])).
% 29.07/4.49 fof(sdef65, definition, (spl65 <=> (convergent_lines(sk0,sk0))), introduced(definition, [new_symbols(naming, [spl65])], [avatar_definition])).
% 29.07/4.49 cnf(p1077, plain, (convergent_lines(sk0,sk0) | ~spl65), inference(avatar_component_clause, [status(thm)], [sdef65])).
% 29.07/4.49 fof(f2, axiom, ! [X] : ~ convergent_lines(X,X), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart3)).
% 29.07/4.49 fof(f2_nnf, plain, ! [X] : (~(convergent_lines(X,X))), inference(nnf_transformation, [status(thm)], [f2])).
% 29.07/4.49 fof(f2_sk, plain, ! [X] : (~(convergent_lines(X,X))), inference(skolemisation, [status(esa)], [f2_nnf])).
% 29.07/4.49 cnf(c2, plain, ~convergent_lines(X0,X0), inference(cnf_transformation, [status(esa)], [f2_sk])).
% 29.07/4.49 cnf(p1083, plain, ($false | ~spl65), inference(resolution, [status(thm)], [p1077, c2])).
% 29.07/4.49 cnf(sct1, plain, (~spl65), inference(avatar_contradiction_clause, [status(thm)], [p1083])).
% 29.07/4.49 fof(sdef7, definition, (spl7 <=> (apart_point_and_line(intersection_point(sk0,sk2),sk0))), introduced(definition, [new_symbols(naming, [spl7])], [avatar_definition])).
% 29.07/4.49 cnf(p896, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | ~spl7), inference(avatar_component_clause, [status(thm)], [sdef7])).
% 29.07/4.49 fof(f7, axiom, ! [X,Y,Z] : ( convergent_lines(X,Y) => ( ( apart_point_and_line(Z,X) | apart_point_and_line(Z,Y) ) => distinct_points(Z,intersection_point(X,Y)) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con2)).
% 29.07/4.49 fof(f7_nnf, plain, ! [X,Y,Z] : ((~(convergent_lines(X,Y)) | ((~(apart_point_and_line(Z,X)) & ~(apart_point_and_line(Z,Y))) | distinct_points(Z,intersection_point(X,Y))))), inference(nnf_transformation, [status(thm)], [f7])).
% 29.07/4.49 fof(f7_sk, plain, ! [X,Y,Z] : ((~(convergent_lines(X,Y)) | ((~(apart_point_and_line(Z,X)) & ~(apart_point_and_line(Z,Y))) | distinct_points(Z,intersection_point(X,Y))))), inference(skolemisation, [status(esa)], [f7_nnf])).
% 29.07/4.49 cnf(c8, plain, ~convergent_lines(X0,X1) | ~apart_point_and_line(X2,X0) | distinct_points(X2,intersection_point(X0,X1)), inference(cnf_transformation, [status(esa)], [f7_sk])).
% 29.07/4.49 fof(f12, conjecture, ! [X,Y,Z] : ( ( convergent_lines(X,Y) & convergent_lines(X,Z) & distinct_points(intersection_point(X,Y),intersection_point(X,Z)) ) => ~ distinct_lines(line_connecting(intersection_point(X,Y),intersection_point(X,Z)),X) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 29.07/4.49 fof(f12_neg, negated_conjecture, ~(! [X,Y,Z] : ( ( convergent_lines(X,Y) & convergent_lines(X,Z) & distinct_points(intersection_point(X,Y),intersection_point(X,Z)) ) => ~ distinct_lines(line_connecting(intersection_point(X,Y),intersection_point(X,Z)),X) )), inference(negated_conjecture, [status(cth)], [f12])).
% 29.07/4.49 fof(f12_nnf, plain, ? [X,Y,Z] : ((((convergent_lines(X,Y) & convergent_lines(X,Z)) & distinct_points(intersection_point(X,Y),intersection_point(X,Z))) & distinct_lines(line_connecting(intersection_point(X,Y),intersection_point(X,Z)),X))), inference(nnf_transformation, [status(thm)], [f12_neg])).
% 29.07/4.49 fof(f12_sk, plain, (((convergent_lines(sk0,sk1) & convergent_lines(sk0,sk2)) & distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) & distinct_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2)),sk0)), inference(skolemisation, [status(esa), new_symbols(skolem, [sk0,sk1,sk2])], [f12_nnf])).
% 29.07/4.49 cnf(c15, plain, convergent_lines(sk0,sk2), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 29.07/4.49 cnf(p81, plain, ~apart_point_and_line(X0,sk0) | distinct_points(X0,intersection_point(sk0,sk2)), inference(resolution, [status(thm)], [c8, c15])).
% 29.07/4.49 cnf(p1084, plain, (distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,sk2)) | ~spl7), inference(resolution, [status(thm)], [p896, p81])).
% 29.07/4.49 cnf(p1328, plain, ($false | ~spl7), inference(resolution, [status(thm)], [p1084, c0])).
% 29.07/4.49 cnf(sct2, plain, (~spl7), inference(avatar_contradiction_clause, [status(thm)], [p1328])).
% 29.07/4.49 fof(sdef5, definition, (spl5 <=> (apart_point_and_line(intersection_point(sk0,sk1),sk0))), introduced(definition, [new_symbols(naming, [spl5])], [avatar_definition])).
% 29.07/4.49 cnf(p894, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | ~spl5), inference(avatar_component_clause, [status(thm)], [sdef5])).
% 29.07/4.49 cnf(c14, plain, convergent_lines(sk0,sk1), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 29.07/4.49 cnf(p80, plain, ~apart_point_and_line(X0,sk0) | distinct_points(X0,intersection_point(sk0,sk1)), inference(resolution, [status(thm)], [c8, c14])).
% 29.07/4.49 cnf(p1059, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | ~spl5), inference(resolution, [status(thm)], [p894, p80])).
% 29.07/4.49 cnf(p1500, plain, ($false | ~spl5), inference(resolution, [status(thm)], [p1059, c0])).
% 29.07/4.49 cnf(sct3, plain, (~spl5), inference(avatar_contradiction_clause, [status(thm)], [p1500])).
% 29.07/4.49 fof(sdef8, definition, (spl8 <=> (apart_point_and_line(intersection_point(sk0,sk1),sk1))), introduced(definition, [new_symbols(naming, [spl8])], [avatar_definition])).
% 29.07/4.49 cnf(p898, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | ~spl8), inference(avatar_component_clause, [status(thm)], [sdef8])).
% 29.07/4.49 cnf(c9, plain, ~convergent_lines(X0,X1) | ~apart_point_and_line(X2,X1) | distinct_points(X2,intersection_point(X0,X1)), inference(cnf_transformation, [status(esa)], [f7_sk])).
% 29.07/4.49 cnf(p94, plain, ~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk0,sk1)), inference(resolution, [status(thm)], [c9, c14])).
% 29.07/4.49 cnf(p1107, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | ~spl8), inference(resolution, [status(thm)], [p898, p94])).
% 29.07/4.49 cnf(p1501, plain, ($false | ~spl8), inference(resolution, [status(thm)], [p1107, c0])).
% 29.07/4.49 cnf(sct4, plain, (~spl8), inference(avatar_contradiction_clause, [status(thm)], [p1501])).
% 29.07/4.49 fof(sdef11, definition, (spl11 <=> (apart_point_and_line(intersection_point(sk0,sk2),sk2))), introduced(definition, [new_symbols(naming, [spl11])], [avatar_definition])).
% 29.07/4.49 cnf(p902, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | ~spl11), inference(avatar_component_clause, [status(thm)], [sdef11])).
% 29.07/4.49 cnf(p95, plain, ~apart_point_and_line(X0,sk2) | distinct_points(X0,intersection_point(sk0,sk2)), inference(resolution, [status(thm)], [c9, c15])).
% 29.07/4.49 cnf(p1315, plain, (distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,sk2)) | ~spl11), inference(resolution, [status(thm)], [p902, p95])).
% 29.07/4.49 cnf(p1676, plain, ($false | ~spl11), inference(resolution, [status(thm)], [p1315, c0])).
% 29.07/4.49 cnf(sct5, plain, (~spl11), inference(avatar_contradiction_clause, [status(thm)], [p1676])).
% 29.07/4.49 fof(sdef4, definition, (spl4 <=> (apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))))), introduced(definition, [new_symbols(naming, [spl4])], [avatar_definition])).
% 29.07/4.49 cnf(p893, plain, (apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | ~spl4), inference(avatar_component_clause, [status(thm)], [sdef4])).
% 29.07/4.49 fof(f6, axiom, ! [X,Y,Z] : ( distinct_points(X,Y) => ( apart_point_and_line(Z,line_connecting(X,Y)) => ( distinct_points(Z,X) & distinct_points(Z,Y) ) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con1)).
% 29.07/4.49 fof(f6_nnf, plain, ! [X,Y,Z] : ((~(distinct_points(X,Y)) | (~(apart_point_and_line(Z,line_connecting(X,Y))) | (distinct_points(Z,X) & distinct_points(Z,Y))))), inference(nnf_transformation, [status(thm)], [f6])).
% 29.07/4.49 fof(f6_sk, plain, ! [X,Y,Z] : ((~(distinct_points(X,Y)) | (~(apart_point_and_line(Z,line_connecting(X,Y))) | (distinct_points(Z,X) & distinct_points(Z,Y))))), inference(skolemisation, [status(esa)], [f6_nnf])).
% 29.07/4.49 cnf(c6, plain, ~distinct_points(X0,X1) | ~apart_point_and_line(X2,line_connecting(X0,X1)) | distinct_points(X2,X0), inference(cnf_transformation, [status(esa)], [f6_sk])).
% 29.07/4.49 cnf(c16, plain, distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 29.07/4.49 cnf(p45, plain, ~apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | distinct_points(X0,intersection_point(sk0,sk1)), inference(resolution, [status(thm)], [c6, c16])).
% 29.07/4.49 cnf(p1867, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | ~spl4), inference(resolution, [status(thm)], [p893, p45])).
% 29.07/4.49 cnf(p1896, plain, ($false | ~spl4), inference(resolution, [status(thm)], [p1867, c0])).
% 29.07/4.49 cnf(sct6, plain, (~spl4), inference(avatar_contradiction_clause, [status(thm)], [p1896])).
% 29.07/4.49 fof(sdef6, definition, (spl6 <=> (apart_point_and_line(intersection_point(sk0,sk2),line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))))), introduced(definition, [new_symbols(naming, [spl6])], [avatar_definition])).
% 29.07/4.49 cnf(p895, plain, (apart_point_and_line(intersection_point(sk0,sk2),line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | ~spl6), inference(avatar_component_clause, [status(thm)], [sdef6])).
% 29.07/4.49 cnf(c7, plain, ~distinct_points(X0,X1) | ~apart_point_and_line(X2,line_connecting(X0,X1)) | distinct_points(X2,X1), inference(cnf_transformation, [status(esa)], [f6_sk])).
% 29.07/4.49 cnf(p59, plain, ~apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | distinct_points(X0,intersection_point(sk0,sk2)), inference(resolution, [status(thm)], [c7, c16])).
% 29.07/4.49 cnf(p1899, plain, (distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,sk2)) | ~spl6), inference(resolution, [status(thm)], [p895, p59])).
% 29.07/4.49 cnf(p2035, plain, ($false | ~spl6), inference(resolution, [status(thm)], [p1899, c0])).
% 29.07/4.49 cnf(sct7, plain, (~spl6), inference(avatar_contradiction_clause, [status(thm)], [p2035])).
% 29.07/4.49 fof(f3, axiom, ! [X,Y,Z] : ( distinct_points(X,Y) => ( distinct_points(X,Z) | distinct_points(Y,Z) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart4)).
% 29.07/4.49 fof(f3_nnf, plain, ! [X,Y,Z] : ((~(distinct_points(X,Y)) | (distinct_points(X,Z) | distinct_points(Y,Z)))), inference(nnf_transformation, [status(thm)], [f3])).
% 29.07/4.49 fof(f3_sk, plain, ! [X,Y,Z] : ((~(distinct_points(X,Y)) | (distinct_points(X,Z) | distinct_points(Y,Z)))), inference(skolemisation, [status(esa)], [f3_nnf])).
% 29.07/4.49 cnf(c3, plain, ~distinct_points(X0,X1) | distinct_points(X0,X2) | distinct_points(X1,X2), inference(cnf_transformation, [status(esa)], [f3_sk])).
% 29.07/4.49 cnf(p20, plain, distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk2),X0), inference(resolution, [status(thm)], [c3, c16])).
% 29.07/4.49 cnf(p21, plain, distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk2),X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p20, c3])).
% 29.07/4.49 cnf(p25, plain, distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk2),X1) | distinct_points(X0,X2) | distinct_points(X1,X2), inference(resolution, [status(thm)], [p21, c3])).
% 29.07/4.49 cnf(p246, plain, distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,sk1)) | distinct_points(X0,X0), inference(factoring, [status(thm)], [p25])).
% 29.07/4.49 fof(sdef1, definition, (spl1 <=> (distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl1])], [avatar_definition])).
% 29.07/4.49 cnf(ssp0, plain, (spl0 | spl1), inference(avatar_split_clause, [status(thm)], [p246, sdef0, sdef1])).
% 29.07/4.49 cnf(p47, plain, ~apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),X1)) | distinct_points(X0,intersection_point(sk0,sk1)) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2), inference(resolution, [status(thm)], [c6, p21])).
% 29.07/4.49 cnf(p414, plain, ~apart_point_and_line(intersection_point(sk0,sk2),line_connecting(intersection_point(sk0,sk1),X0)) | distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,sk1)) | distinct_points(X0,intersection_point(sk0,sk1)), inference(factoring, [status(thm)], [p47])).
% 29.07/4.49 fof(sdef2, definition, (spl2 <=> (~apart_point_and_line(intersection_point(sk0,sk2),line_connecting(intersection_point(sk0,sk1),X0)) | distinct_points(X0,intersection_point(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl2])], [avatar_definition])).
% 29.07/4.49 cnf(ssp1, plain, (spl1 | spl2), inference(avatar_split_clause, [status(thm)], [p414, sdef1, sdef2])).
% 29.07/4.49 cnf(p416, plain, ~apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),X0)) | distinct_points(X0,intersection_point(sk0,sk1)) | distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,sk1)), inference(factoring, [status(thm)], [p47])).
% 29.07/4.49 fof(sdef3, definition, (spl3 <=> (~apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),X0)) | distinct_points(X0,intersection_point(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl3])], [avatar_definition])).
% 29.07/4.49 cnf(ssp2, plain, (spl1 | spl3), inference(avatar_split_clause, [status(thm)], [p416, sdef1, sdef3])).
% 29.07/4.49 fof(f8, axiom, ! [X,Y,U,V] : ( ( distinct_points(X,Y) & distinct_lines(U,V) ) => ( apart_point_and_line(X,U) | apart_point_and_line(X,V) | apart_point_and_line(Y,U) | apart_point_and_line(Y,V) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cu1)).
% 29.07/4.49 fof(f8_nnf, plain, ! [X,Y,U,V] : (((~(distinct_points(X,Y)) | ~(distinct_lines(U,V))) | (((apart_point_and_line(X,U) | apart_point_and_line(X,V)) | apart_point_and_line(Y,U)) | apart_point_and_line(Y,V)))), inference(nnf_transformation, [status(thm)], [f8])).
% 29.07/4.49 fof(f8_sk, plain, ! [X,Y,U,V] : (((~(distinct_points(X,Y)) | ~(distinct_lines(U,V))) | (((apart_point_and_line(X,U) | apart_point_and_line(X,V)) | apart_point_and_line(Y,U)) | apart_point_and_line(Y,V)))), inference(skolemisation, [status(esa)], [f8_nnf])).
% 29.07/4.49 cnf(c10, plain, ~distinct_points(X0,X1) | ~distinct_lines(X2,X3) | apart_point_and_line(X0,X2) | apart_point_and_line(X0,X3) | apart_point_and_line(X1,X2) | apart_point_and_line(X1,X3), inference(cnf_transformation, [status(esa)], [f8_sk])).
% 29.07/4.49 cnf(p127, plain, ~distinct_lines(X0,X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1), inference(resolution, [status(thm)], [c10, c16])).
% 29.07/4.49 cnf(c17, plain, distinct_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2)),sk0), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 29.07/4.49 cnf(p892, plain, apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk2),line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(intersection_point(sk0,sk2),sk0), inference(resolution, [status(thm)], [p127, c17])).
% 29.07/4.49 cnf(ssp3, plain, (spl4 | spl5 | spl6 | spl7), inference(avatar_split_clause, [status(thm)], [p892, sdef4, sdef5, sdef6, sdef7])).
% 29.07/4.49 fof(f11, axiom, ! [X,Y] : ( convergent_lines(X,Y) => distinct_lines(X,Y) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ceq3)).
% 29.07/4.49 fof(f11_nnf, plain, ! [X,Y] : ((~(convergent_lines(X,Y)) | distinct_lines(X,Y))), inference(nnf_transformation, [status(thm)], [f11])).
% 29.07/4.49 fof(f11_sk, plain, ! [X,Y] : ((~(convergent_lines(X,Y)) | distinct_lines(X,Y))), inference(skolemisation, [status(esa)], [f11_nnf])).
% 29.07/4.49 cnf(c13, plain, ~convergent_lines(X0,X1) | distinct_lines(X0,X1), inference(cnf_transformation, [status(esa)], [f11_sk])).
% 29.07/4.49 cnf(p18, plain, distinct_lines(sk0,sk1), inference(resolution, [status(thm)], [c13, c14])).
% 29.07/4.49 cnf(p897, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),sk1), inference(resolution, [status(thm)], [p127, p18])).
% 29.07/4.49 fof(sdef9, definition, (spl9 <=> (apart_point_and_line(intersection_point(sk0,sk2),sk1))), introduced(definition, [new_symbols(naming, [spl9])], [avatar_definition])).
% 29.07/4.49 cnf(ssp4, plain, (spl5 | spl7 | spl8 | spl9), inference(avatar_split_clause, [status(thm)], [p897, sdef5, sdef7, sdef8, sdef9])).
% 29.07/4.49 cnf(p19, plain, distinct_lines(sk0,sk2), inference(resolution, [status(thm)], [c13, c15])).
% 29.07/4.49 cnf(p900, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),sk2), inference(resolution, [status(thm)], [p127, p19])).
% 29.07/4.49 fof(sdef10, definition, (spl10 <=> (apart_point_and_line(intersection_point(sk0,sk1),sk2))), introduced(definition, [new_symbols(naming, [spl10])], [avatar_definition])).
% 29.07/4.49 cnf(ssp5, plain, (spl5 | spl7 | spl10 | spl11), inference(avatar_split_clause, [status(thm)], [p900, sdef5, sdef7, sdef10, sdef11])).
% 29.07/4.49 fof(f4, axiom, ! [X,Y,Z] : ( distinct_lines(X,Y) => ( distinct_lines(X,Z) | distinct_lines(Y,Z) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart5)).
% 29.07/4.49 fof(f4_nnf, plain, ! [X,Y,Z] : ((~(distinct_lines(X,Y)) | (distinct_lines(X,Z) | distinct_lines(Y,Z)))), inference(nnf_transformation, [status(thm)], [f4])).
% 29.07/4.49 fof(f4_sk, plain, ! [X,Y,Z] : ((~(distinct_lines(X,Y)) | (distinct_lines(X,Z) | distinct_lines(Y,Z)))), inference(skolemisation, [status(esa)], [f4_nnf])).
% 29.07/4.49 cnf(c4, plain, ~distinct_lines(X0,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(cnf_transformation, [status(esa)], [f4_sk])).
% 29.07/4.49 cnf(p28, plain, distinct_lines(sk0,X0) | distinct_lines(sk1,X0), inference(resolution, [status(thm)], [c4, p18])).
% 29.07/4.49 cnf(p903, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p127, p28])).
% 29.07/4.49 fof(sdef12, definition, (spl12 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl12])], [avatar_definition])).
% 29.07/4.49 cnf(ssp6, plain, (spl8 | spl9 | spl12), inference(avatar_split_clause, [status(thm)], [p903, sdef8, sdef9, sdef12])).
% 29.07/4.49 cnf(p29, plain, distinct_lines(sk0,X0) | distinct_lines(sk2,X0), inference(resolution, [status(thm)], [c4, p19])).
% 29.07/4.49 cnf(p905, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p127, p29])).
% 29.07/4.49 cnf(ssp7, plain, (spl10 | spl11 | spl12), inference(avatar_split_clause, [status(thm)], [p905, sdef10, sdef11, sdef12])).
% 29.07/4.49 cnf(p30, plain, distinct_lines(sk0,X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p28, c4])).
% 29.07/4.49 cnf(p906, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p127, p30])).
% 29.07/4.49 fof(sdef13, definition, (spl13 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl13])], [avatar_definition])).
% 29.07/4.49 cnf(ssp8, plain, (spl5 | spl7 | spl13), inference(avatar_split_clause, [status(thm)], [p906, sdef5, sdef7, sdef13])).
% 29.07/4.49 cnf(p908, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p127, p30])).
% 29.07/4.49 fof(sdef14, definition, (spl14 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl14])], [avatar_definition])).
% 29.07/4.49 cnf(ssp9, plain, (spl8 | spl9 | spl14), inference(avatar_split_clause, [status(thm)], [p908, sdef8, sdef9, sdef14])).
% 29.07/4.49 cnf(p910, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk0,X0) | distinct_lines(sk1,X1), inference(resolution, [status(thm)], [p127, p30])).
% 29.07/4.49 fof(sdef15, definition, (spl15 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl15])], [avatar_definition])).
% 29.07/4.49 cnf(ssp10, plain, (spl12 | spl15), inference(avatar_split_clause, [status(thm)], [p910, sdef12, sdef15])).
% 29.07/4.49 fof(f1, axiom, ! [X] : ~ distinct_lines(X,X), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart2)).
% 29.07/4.49 fof(f1_nnf, plain, ! [X] : (~(distinct_lines(X,X))), inference(nnf_transformation, [status(thm)], [f1])).
% 29.07/4.49 fof(f1_sk, plain, ! [X] : (~(distinct_lines(X,X))), inference(skolemisation, [status(esa)], [f1_nnf])).
% 29.07/4.49 cnf(c1, plain, ~distinct_lines(X0,X0), inference(cnf_transformation, [status(esa)], [f1_sk])).
% 29.07/4.49 cnf(p32, plain, distinct_lines(sk0,X0) | distinct_lines(X0,sk1), inference(resolution, [status(thm)], [p30, c1])).
% 29.07/4.49 cnf(p912, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,sk1), inference(resolution, [status(thm)], [p127, p32])).
% 29.07/4.49 fof(sdef16, definition, (spl16 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl16])], [avatar_definition])).
% 29.07/4.49 cnf(ssp11, plain, (spl5 | spl7 | spl16), inference(avatar_split_clause, [status(thm)], [p912, sdef5, sdef7, sdef16])).
% 29.07/4.49 cnf(p31, plain, distinct_lines(sk0,X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p29, c4])).
% 29.07/4.49 cnf(p914, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p127, p31])).
% 29.07/4.49 fof(sdef17, definition, (spl17 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl17])], [avatar_definition])).
% 29.07/4.49 cnf(ssp12, plain, (spl5 | spl7 | spl17), inference(avatar_split_clause, [status(thm)], [p914, sdef5, sdef7, sdef17])).
% 29.07/4.49 cnf(p916, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p127, p31])).
% 29.07/4.49 cnf(ssp13, plain, (spl10 | spl11 | spl14), inference(avatar_split_clause, [status(thm)], [p916, sdef10, sdef11, sdef14])).
% 29.07/4.49 cnf(p917, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk0,X0) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p127, p31])).
% 29.07/4.49 fof(sdef18, definition, (spl18 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl18])], [avatar_definition])).
% 29.07/4.49 cnf(ssp14, plain, (spl12 | spl18), inference(avatar_split_clause, [status(thm)], [p917, sdef12, sdef18])).
% 29.07/4.49 cnf(p54, plain, distinct_lines(sk0,X0) | distinct_lines(X0,sk2), inference(resolution, [status(thm)], [p31, c1])).
% 29.07/4.49 cnf(p919, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,sk2), inference(resolution, [status(thm)], [p127, p54])).
% 29.07/4.49 fof(sdef19, definition, (spl19 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl19])], [avatar_definition])).
% 29.07/4.49 cnf(ssp15, plain, (spl5 | spl7 | spl19), inference(avatar_split_clause, [status(thm)], [p919, sdef5, sdef7, sdef19])).
% 29.07/4.49 cnf(p36, plain, distinct_lines(X0,sk1) | distinct_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p32, c4])).
% 29.07/4.49 cnf(p921, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | distinct_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p127, p36])).
% 29.07/4.49 fof(sdef20, definition, (spl20 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl20])], [avatar_definition])).
% 29.07/4.49 cnf(ssp16, plain, (spl8 | spl9 | spl20), inference(avatar_split_clause, [status(thm)], [p921, sdef8, sdef9, sdef20])).
% 29.07/4.49 cnf(p923, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p127, p36])).
% 29.07/4.49 fof(sdef21, definition, (spl21 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl21])], [avatar_definition])).
% 29.07/4.49 cnf(ssp17, plain, (spl5 | spl7 | spl21), inference(avatar_split_clause, [status(thm)], [p923, sdef5, sdef7, sdef21])).
% 29.07/4.49 cnf(p925, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk1) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p127, p36])).
% 29.07/4.49 cnf(ssp18, plain, (spl12 | spl16), inference(avatar_split_clause, [status(thm)], [p925, sdef12, sdef16])).
% 29.07/4.49 cnf(p66, plain, distinct_lines(X0,sk1) | distinct_lines(X0,sk0), inference(resolution, [status(thm)], [p36, c1])).
% 29.07/4.49 cnf(p926, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | distinct_lines(X0,sk0), inference(resolution, [status(thm)], [p127, p66])).
% 29.07/4.49 fof(sdef22, definition, (spl22 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,sk0))), introduced(definition, [new_symbols(naming, [spl22])], [avatar_definition])).
% 29.07/4.49 cnf(ssp19, plain, (spl8 | spl9 | spl22), inference(avatar_split_clause, [status(thm)], [p926, sdef8, sdef9, sdef22])).
% 29.07/4.49 fof(f5, axiom, ! [X,Y,Z] : ( convergent_lines(X,Y) => ( convergent_lines(X,Z) | convergent_lines(Y,Z) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart6)).
% 29.07/4.49 fof(f5_nnf, plain, ! [X,Y,Z] : ((~(convergent_lines(X,Y)) | (convergent_lines(X,Z) | convergent_lines(Y,Z)))), inference(nnf_transformation, [status(thm)], [f5])).
% 29.07/4.49 fof(f5_sk, plain, ! [X,Y,Z] : ((~(convergent_lines(X,Y)) | (convergent_lines(X,Z) | convergent_lines(Y,Z)))), inference(skolemisation, [status(esa)], [f5_nnf])).
% 29.07/4.49 cnf(c5, plain, ~convergent_lines(X0,X1) | convergent_lines(X0,X2) | convergent_lines(X1,X2), inference(cnf_transformation, [status(esa)], [f5_sk])).
% 29.07/4.49 cnf(p37, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X0), inference(resolution, [status(thm)], [c5, c14])).
% 29.07/4.49 cnf(p39, plain, convergent_lines(sk0,X0) | distinct_lines(sk1,X0), inference(resolution, [status(thm)], [p37, c13])).
% 29.07/4.49 cnf(p44, plain, distinct_lines(sk1,X0) | convergent_lines(sk0,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p39, c5])).
% 29.07/4.49 cnf(p138, plain, distinct_lines(sk1,X0) | convergent_lines(X0,sk0), inference(resolution, [status(thm)], [p44, c2])).
% 29.07/4.49 cnf(p147, plain, distinct_lines(sk1,X0) | distinct_lines(X0,sk0), inference(resolution, [status(thm)], [p138, c13])).
% 29.07/4.49 cnf(p928, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | distinct_lines(sk1,X0), inference(resolution, [status(thm)], [p127, p147])).
% 29.07/4.49 cnf(ssp20, plain, (spl5 | spl7 | spl15), inference(avatar_split_clause, [status(thm)], [p928, sdef5, sdef7, sdef15])).
% 29.07/4.49 cnf(p38, plain, convergent_lines(sk0,X0) | convergent_lines(sk2,X0), inference(resolution, [status(thm)], [c5, c15])).
% 29.07/4.49 cnf(p41, plain, convergent_lines(sk0,X0) | distinct_lines(sk2,X0), inference(resolution, [status(thm)], [p38, c13])).
% 29.07/4.49 cnf(p53, plain, distinct_lines(sk2,X0) | convergent_lines(sk0,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p41, c5])).
% 29.07/4.49 cnf(p151, plain, distinct_lines(sk2,X0) | convergent_lines(X0,sk0), inference(resolution, [status(thm)], [p53, c2])).
% 29.07/4.49 cnf(p160, plain, distinct_lines(sk2,X0) | distinct_lines(X0,sk0), inference(resolution, [status(thm)], [p151, c13])).
% 29.07/4.49 cnf(p929, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,sk0), inference(resolution, [status(thm)], [p127, p160])).
% 29.07/4.49 cnf(ssp21, plain, (spl10 | spl11 | spl22), inference(avatar_split_clause, [status(thm)], [p929, sdef10, sdef11, sdef22])).
% 29.07/4.49 cnf(p930, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | distinct_lines(sk2,X0), inference(resolution, [status(thm)], [p127, p160])).
% 29.07/4.49 cnf(ssp22, plain, (spl5 | spl7 | spl18), inference(avatar_split_clause, [status(thm)], [p930, sdef5, sdef7, sdef18])).
% 29.07/4.49 cnf(p58, plain, distinct_lines(X0,sk2) | distinct_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p54, c4])).
% 29.07/4.49 cnf(p931, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | distinct_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p127, p58])).
% 29.07/4.49 cnf(ssp23, plain, (spl10 | spl11 | spl20), inference(avatar_split_clause, [status(thm)], [p931, sdef10, sdef11, sdef20])).
% 29.07/4.49 cnf(p932, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p127, p58])).
% 29.07/4.49 fof(sdef23, definition, (spl23 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl23])], [avatar_definition])).
% 29.07/4.49 cnf(ssp24, plain, (spl5 | spl7 | spl23), inference(avatar_split_clause, [status(thm)], [p932, sdef5, sdef7, sdef23])).
% 29.07/4.49 cnf(p934, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk2) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p127, p58])).
% 29.07/4.49 cnf(ssp25, plain, (spl12 | spl19), inference(avatar_split_clause, [status(thm)], [p934, sdef12, sdef19])).
% 29.07/4.49 cnf(p69, plain, distinct_lines(X0,sk0) | distinct_lines(X0,X1) | distinct_lines(sk1,X1), inference(resolution, [status(thm)], [p66, c4])).
% 29.07/4.49 cnf(p935, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk0) | distinct_lines(sk1,X1), inference(resolution, [status(thm)], [p127, p69])).
% 29.07/4.49 cnf(ssp26, plain, (spl15 | spl22), inference(avatar_split_clause, [status(thm)], [p935, sdef15, sdef22])).
% 29.07/4.49 cnf(p936, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk0) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p127, p69])).
% 29.07/4.49 fof(sdef24, definition, (spl24 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk0) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl24])], [avatar_definition])).
% 29.07/4.49 cnf(ssp27, plain, (spl8 | spl9 | spl24), inference(avatar_split_clause, [status(thm)], [p936, sdef8, sdef9, sdef24])).
% 29.07/4.49 cnf(p40, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p37, c5])).
% 29.07/4.49 cnf(p73, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p40, c13])).
% 29.07/4.49 cnf(p938, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(sk0,X0) | convergent_lines(sk1,X1), inference(resolution, [status(thm)], [p127, p73])).
% 29.07/4.49 fof(sdef25, definition, (spl25 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl25])], [avatar_definition])).
% 29.07/4.49 fof(sdef26, definition, (spl26 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl26])], [avatar_definition])).
% 29.07/4.49 cnf(ssp28, plain, (spl25 | spl26), inference(avatar_split_clause, [status(thm)], [p938, sdef25, sdef26])).
% 29.07/4.49 cnf(p27, plain, distinct_lines(line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2)),X0) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [c4, c17])).
% 29.07/4.49 cnf(p941, plain, apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p127, p27])).
% 29.07/4.49 cnf(ssp29, plain, (spl4 | spl6 | spl12), inference(avatar_split_clause, [status(thm)], [p941, sdef4, sdef6, sdef12])).
% 29.07/4.49 cnf(p42, plain, convergent_lines(sk0,X0) | convergent_lines(sk2,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p38, c5])).
% 29.07/4.49 cnf(p110, plain, convergent_lines(sk0,X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p42, c13])).
% 29.07/4.49 cnf(p942, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(sk0,X0) | convergent_lines(sk2,X1), inference(resolution, [status(thm)], [p127, p110])).
% 29.07/4.49 fof(sdef27, definition, (spl27 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl27])], [avatar_definition])).
% 29.07/4.49 cnf(ssp30, plain, (spl25 | spl27), inference(avatar_split_clause, [status(thm)], [p942, sdef25, sdef27])).
% 29.07/4.49 cnf(p33, plain, distinct_lines(sk1,X0) | distinct_lines(X1,X0) | distinct_lines(sk0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p30, c4])).
% 29.07/4.49 cnf(p944, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,X0) | distinct_lines(sk0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p127, p33])).
% 29.07/4.49 fof(sdef28, definition, (spl28 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,X0) | distinct_lines(sk0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl28])], [avatar_definition])).
% 29.07/4.49 cnf(ssp31, plain, (spl8 | spl9 | spl28), inference(avatar_split_clause, [status(thm)], [p944, sdef8, sdef9, sdef28])).
% 29.07/4.49 cnf(p946, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk1,X1) | distinct_lines(sk0,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p127, p33])).
% 29.07/4.49 cnf(ssp32, plain, (spl15 | spl20), inference(avatar_split_clause, [status(thm)], [p946, sdef15, sdef20])).
% 29.07/4.49 cnf(p947, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk1,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p127, p33])).
% 29.07/4.49 fof(sdef29, definition, (spl29 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk1,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl29])], [avatar_definition])).
% 29.07/4.49 cnf(ssp33, plain, (spl5 | spl7 | spl29), inference(avatar_split_clause, [status(thm)], [p947, sdef5, sdef7, sdef29])).
% 29.07/4.49 cnf(p949, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk1,X2) | distinct_lines(X0,X2) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p127, p33])).
% 29.07/4.49 cnf(ssp34, plain, (spl12 | spl13), inference(avatar_split_clause, [status(thm)], [p949, sdef12, sdef13])).
% 29.07/4.49 cnf(p34, plain, distinct_lines(sk0,X0) | distinct_lines(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p30, c4])).
% 29.07/4.49 cnf(p950, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p127, p34])).
% 29.07/4.49 fof(sdef30, definition, (spl30 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl30])], [avatar_definition])).
% 29.07/4.49 cnf(ssp35, plain, (spl5 | spl7 | spl30), inference(avatar_split_clause, [status(thm)], [p950, sdef5, sdef7, sdef30])).
% 29.07/4.49 cnf(p952, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p127, p34])).
% 29.07/4.49 fof(sdef31, definition, (spl31 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl31])], [avatar_definition])).
% 29.07/4.49 cnf(ssp36, plain, (spl8 | spl9 | spl31), inference(avatar_split_clause, [status(thm)], [p952, sdef8, sdef9, sdef31])).
% 29.07/4.49 cnf(p954, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X0) | distinct_lines(sk1,X1), inference(resolution, [status(thm)], [p127, p34])).
% 29.07/4.49 cnf(ssp37, plain, (spl14 | spl15), inference(avatar_split_clause, [status(thm)], [p954, sdef14, sdef15])).
% 29.07/4.49 cnf(p140, plain, distinct_lines(sk1,X0) | convergent_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p44, c13])).
% 29.07/4.49 cnf(p955, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p127, p140])).
% 29.07/4.49 fof(sdef32, definition, (spl32 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk0,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl32])], [avatar_definition])).
% 29.07/4.49 cnf(ssp38, plain, (spl8 | spl9 | spl32), inference(avatar_split_clause, [status(thm)], [p955, sdef8, sdef9, sdef32])).
% 29.07/4.49 cnf(p957, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk1,X0) | convergent_lines(sk0,X1), inference(resolution, [status(thm)], [p127, p140])).
% 29.07/4.49 cnf(ssp39, plain, (spl15 | spl25), inference(avatar_split_clause, [status(thm)], [p957, sdef15, sdef25])).
% 29.07/4.49 cnf(p150, plain, distinct_lines(sk1,X0) | distinct_lines(X0,X1) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p147, c4])).
% 29.07/4.49 cnf(p958, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk1,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p127, p150])).
% 29.07/4.49 fof(sdef33, definition, (spl33 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk1,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl33])], [avatar_definition])).
% 29.07/4.49 cnf(ssp40, plain, (spl5 | spl7 | spl33), inference(avatar_split_clause, [status(thm)], [p958, sdef5, sdef7, sdef33])).
% 29.07/4.49 cnf(p35, plain, distinct_lines(sk0,X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p30, c4])).
% 29.07/4.49 cnf(p960, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p127, p35])).
% 29.07/4.49 fof(sdef34, definition, (spl34 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl34])], [avatar_definition])).
% 29.07/4.49 cnf(ssp41, plain, (spl5 | spl7 | spl34), inference(avatar_split_clause, [status(thm)], [p960, sdef5, sdef7, sdef34])).
% 29.07/4.49 cnf(p962, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p127, p35])).
% 29.07/4.49 fof(sdef35, definition, (spl35 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl35])], [avatar_definition])).
% 29.07/4.49 cnf(ssp42, plain, (spl8 | spl9 | spl35), inference(avatar_split_clause, [status(thm)], [p962, sdef8, sdef9, sdef35])).
% 29.07/4.49 cnf(p964, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk0,X0) | distinct_lines(sk1,X2) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p127, p35])).
% 29.07/4.49 cnf(ssp43, plain, (spl12 | spl33), inference(avatar_split_clause, [status(thm)], [p964, sdef12, sdef33])).
% 29.07/4.49 cnf(p153, plain, distinct_lines(sk2,X0) | convergent_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p53, c13])).
% 29.07/4.49 cnf(p965, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p127, p153])).
% 29.07/4.49 cnf(ssp44, plain, (spl10 | spl11 | spl32), inference(avatar_split_clause, [status(thm)], [p965, sdef10, sdef11, sdef32])).
% 29.07/4.49 cnf(p966, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk2,X0) | convergent_lines(sk0,X1), inference(resolution, [status(thm)], [p127, p153])).
% 29.07/4.49 cnf(ssp45, plain, (spl18 | spl25), inference(avatar_split_clause, [status(thm)], [p966, sdef18, sdef25])).
% 29.07/4.49 cnf(p163, plain, distinct_lines(X0,sk0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p160, c4])).
% 29.07/4.49 cnf(p967, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk0) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p127, p163])).
% 29.07/4.49 cnf(ssp46, plain, (spl10 | spl11 | spl24), inference(avatar_split_clause, [status(thm)], [p967, sdef10, sdef11, sdef24])).
% 29.07/4.49 cnf(p968, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk0) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p127, p163])).
% 29.07/4.49 cnf(ssp47, plain, (spl18 | spl22), inference(avatar_split_clause, [status(thm)], [p968, sdef18, sdef22])).
% 29.07/4.49 cnf(p164, plain, distinct_lines(sk2,X0) | distinct_lines(X0,X1) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p160, c4])).
% 29.07/4.49 cnf(p969, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p127, p164])).
% 29.07/4.49 fof(sdef36, definition, (spl36 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl36])], [avatar_definition])).
% 29.07/4.49 cnf(ssp48, plain, (spl5 | spl7 | spl36), inference(avatar_split_clause, [status(thm)], [p969, sdef5, sdef7, sdef36])).
% 29.07/4.49 cnf(p71, plain, convergent_lines(sk1,X0) | convergent_lines(X1,X0) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p40, c13])).
% 29.07/4.49 cnf(p172, plain, convergent_lines(sk1,X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p71, c13])).
% 29.07/4.49 cnf(p971, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p127, p172])).
% 29.07/4.49 fof(sdef37, definition, (spl37 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk1,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl37])], [avatar_definition])).
% 29.07/4.49 cnf(ssp49, plain, (spl5 | spl7 | spl37), inference(avatar_split_clause, [status(thm)], [p971, sdef5, sdef7, sdef37])).
% 29.07/4.49 cnf(p973, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(sk1,X1) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p127, p172])).
% 29.07/4.49 cnf(ssp50, plain, (spl12 | spl26), inference(avatar_split_clause, [status(thm)], [p973, sdef12, sdef26])).
% 29.07/4.49 cnf(p72, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | distinct_lines(sk1,X1), inference(resolution, [status(thm)], [p40, c13])).
% 29.07/4.49 cnf(p199, plain, convergent_lines(sk0,X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p72, c13])).
% 29.07/4.49 cnf(p974, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk0,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p127, p199])).
% 29.07/4.49 fof(sdef38, definition, (spl38 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk0,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl38])], [avatar_definition])).
% 29.07/4.49 cnf(ssp51, plain, (spl8 | spl9 | spl38), inference(avatar_split_clause, [status(thm)], [p974, sdef8, sdef9, sdef38])).
% 29.07/4.49 cnf(p70, plain, convergent_lines(sk0,X0) | convergent_lines(X0,sk1), inference(resolution, [status(thm)], [p40, c2])).
% 29.07/4.49 cnf(p79, plain, convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p70, c5])).
% 29.07/4.49 cnf(p214, plain, convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p79, c13])).
% 29.07/4.49 cnf(p976, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(X0,sk1) | convergent_lines(sk0,X1), inference(resolution, [status(thm)], [p127, p214])).
% 29.07/4.49 fof(sdef39, definition, (spl39 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl39])], [avatar_definition])).
% 29.07/4.49 cnf(ssp52, plain, (spl25 | spl39), inference(avatar_split_clause, [status(thm)], [p976, sdef25, sdef39])).
% 29.07/4.49 cnf(p78, plain, convergent_lines(sk0,X0) | distinct_lines(X0,sk1), inference(resolution, [status(thm)], [p70, c13])).
% 29.07/4.49 cnf(p92, plain, distinct_lines(X0,sk1) | convergent_lines(sk0,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p78, c5])).
% 29.07/4.49 cnf(p279, plain, distinct_lines(X0,sk1) | convergent_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p92, c13])).
% 29.07/4.49 cnf(p978, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk1) | convergent_lines(sk0,X1), inference(resolution, [status(thm)], [p127, p279])).
% 29.07/4.49 cnf(ssp53, plain, (spl16 | spl25), inference(avatar_split_clause, [status(thm)], [p978, sdef16, sdef25])).
% 29.07/4.49 cnf(p108, plain, convergent_lines(sk2,X0) | convergent_lines(X1,X0) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p42, c13])).
% 29.07/4.49 cnf(p288, plain, convergent_lines(sk2,X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p108, c13])).
% 29.07/4.49 cnf(p979, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p127, p288])).
% 29.07/4.49 fof(sdef40, definition, (spl40 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl40])], [avatar_definition])).
% 29.07/4.49 cnf(ssp54, plain, (spl5 | spl7 | spl40), inference(avatar_split_clause, [status(thm)], [p979, sdef5, sdef7, sdef40])).
% 29.07/4.49 cnf(p981, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(sk2,X1) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p127, p288])).
% 29.07/4.49 cnf(ssp55, plain, (spl12 | spl27), inference(avatar_split_clause, [status(thm)], [p981, sdef12, sdef27])).
% 29.07/4.49 cnf(p109, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p42, c13])).
% 29.07/4.49 cnf(p297, plain, convergent_lines(sk0,X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p109, c13])).
% 29.07/4.49 cnf(p982, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk0,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p127, p297])).
% 29.07/4.49 cnf(ssp56, plain, (spl10 | spl11 | spl38), inference(avatar_split_clause, [status(thm)], [p982, sdef10, sdef11, sdef38])).
% 29.07/4.49 cnf(p107, plain, convergent_lines(sk0,X0) | convergent_lines(X0,sk2), inference(resolution, [status(thm)], [p42, c2])).
% 29.07/4.49 cnf(p122, plain, convergent_lines(X0,sk2) | convergent_lines(sk0,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p107, c5])).
% 29.07/4.49 cnf(p314, plain, convergent_lines(X0,sk2) | convergent_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p122, c13])).
% 29.07/4.49 cnf(p983, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(X0,sk2) | convergent_lines(sk0,X1), inference(resolution, [status(thm)], [p127, p314])).
% 29.07/4.49 fof(sdef41, definition, (spl41 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl41])], [avatar_definition])).
% 29.07/4.49 cnf(ssp57, plain, (spl25 | spl41), inference(avatar_split_clause, [status(thm)], [p983, sdef25, sdef41])).
% 29.07/4.49 cnf(p336, plain, distinct_lines(sk0,X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk1), inference(resolution, [status(thm)], [p34, c1])).
% 29.07/4.49 cnf(p985, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk1), inference(resolution, [status(thm)], [p127, p336])).
% 29.07/4.49 fof(sdef42, definition, (spl42 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk1))), introduced(definition, [new_symbols(naming, [spl42])], [avatar_definition])).
% 29.07/4.49 cnf(ssp58, plain, (spl5 | spl7 | spl42), inference(avatar_split_clause, [status(thm)], [p985, sdef5, sdef7, sdef42])).
% 29.07/4.49 cnf(p121, plain, convergent_lines(sk0,X0) | distinct_lines(X0,sk2), inference(resolution, [status(thm)], [p107, c13])).
% 29.07/4.49 cnf(p135, plain, distinct_lines(X0,sk2) | convergent_lines(sk0,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p121, c5])).
% 29.07/4.49 cnf(p340, plain, distinct_lines(X0,sk2) | convergent_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p135, c13])).
% 29.07/4.49 cnf(p987, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk2) | convergent_lines(sk0,X1), inference(resolution, [status(thm)], [p127, p340])).
% 29.07/4.49 cnf(ssp59, plain, (spl19 | spl25), inference(avatar_split_clause, [status(thm)], [p987, sdef19, sdef25])).
% 29.07/4.49 cnf(p213, plain, convergent_lines(X0,sk1) | convergent_lines(X0,X1) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p79, c13])).
% 29.07/4.49 cnf(p379, plain, convergent_lines(X0,sk1) | distinct_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p213, c13])).
% 29.07/4.49 cnf(p988, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p127, p379])).
% 29.07/4.49 fof(sdef43, definition, (spl43 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl43])], [avatar_definition])).
% 29.07/4.49 cnf(ssp60, plain, (spl5 | spl7 | spl43), inference(avatar_split_clause, [status(thm)], [p988, sdef5, sdef7, sdef43])).
% 29.07/4.49 cnf(p990, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(X0,sk1) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p127, p379])).
% 29.07/4.49 cnf(ssp61, plain, (spl12 | spl39), inference(avatar_split_clause, [status(thm)], [p990, sdef12, sdef39])).
% 29.07/4.49 cnf(p212, plain, convergent_lines(X0,sk1) | convergent_lines(X0,sk0), inference(resolution, [status(thm)], [p79, c2])).
% 29.07/4.49 cnf(p239, plain, convergent_lines(X0,sk0) | convergent_lines(X0,X1) | convergent_lines(sk1,X1), inference(resolution, [status(thm)], [p212, c5])).
% 29.07/4.49 cnf(p398, plain, convergent_lines(X0,sk0) | convergent_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p239, c13])).
% 29.07/4.49 cnf(p991, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(X0,sk0) | convergent_lines(sk1,X1), inference(resolution, [status(thm)], [p127, p398])).
% 29.07/4.49 fof(sdef44, definition, (spl44 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X0,sk0))), introduced(definition, [new_symbols(naming, [spl44])], [avatar_definition])).
% 29.07/4.49 cnf(ssp62, plain, (spl26 | spl44), inference(avatar_split_clause, [status(thm)], [p991, sdef26, sdef44])).
% 29.07/4.49 cnf(p55, plain, distinct_lines(sk2,X0) | distinct_lines(X1,X0) | distinct_lines(sk0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p31, c4])).
% 29.07/4.49 cnf(p993, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,X0) | distinct_lines(sk0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p127, p55])).
% 29.07/4.49 cnf(ssp63, plain, (spl10 | spl11 | spl28), inference(avatar_split_clause, [status(thm)], [p993, sdef10, sdef11, sdef28])).
% 29.07/4.49 cnf(p994, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk2,X1) | distinct_lines(sk0,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p127, p55])).
% 29.07/4.49 cnf(ssp64, plain, (spl18 | spl20), inference(avatar_split_clause, [status(thm)], [p994, sdef18, sdef20])).
% 29.07/4.49 cnf(p995, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk2,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p127, p55])).
% 29.07/4.49 fof(sdef45, definition, (spl45 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk2,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl45])], [avatar_definition])).
% 29.07/4.49 cnf(ssp65, plain, (spl5 | spl7 | spl45), inference(avatar_split_clause, [status(thm)], [p995, sdef5, sdef7, sdef45])).
% 29.07/4.49 cnf(p997, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk2,X2) | distinct_lines(X0,X2) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p127, p55])).
% 29.07/4.49 cnf(ssp66, plain, (spl12 | spl17), inference(avatar_split_clause, [status(thm)], [p997, sdef12, sdef17])).
% 29.07/4.49 cnf(p313, plain, convergent_lines(X0,sk2) | convergent_lines(X0,X1) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p122, c13])).
% 29.07/4.49 cnf(p445, plain, convergent_lines(X0,sk2) | distinct_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p313, c13])).
% 29.07/4.49 cnf(p998, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk2) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p127, p445])).
% 29.07/4.49 fof(sdef46, definition, (spl46 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk2) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl46])], [avatar_definition])).
% 29.07/4.49 cnf(ssp67, plain, (spl5 | spl7 | spl46), inference(avatar_split_clause, [status(thm)], [p998, sdef5, sdef7, sdef46])).
% 29.07/4.49 cnf(p1000, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(X0,sk2) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p127, p445])).
% 29.07/4.49 cnf(ssp68, plain, (spl12 | spl41), inference(avatar_split_clause, [status(thm)], [p1000, sdef12, sdef41])).
% 29.07/4.49 cnf(p56, plain, distinct_lines(sk0,X0) | distinct_lines(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p31, c4])).
% 29.07/4.49 cnf(p1001, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p127, p56])).
% 29.07/4.49 fof(sdef47, definition, (spl47 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl47])], [avatar_definition])).
% 29.07/4.49 cnf(ssp69, plain, (spl5 | spl7 | spl47), inference(avatar_split_clause, [status(thm)], [p1001, sdef5, sdef7, sdef47])).
% 29.07/4.49 cnf(p1003, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p127, p56])).
% 29.07/4.49 cnf(ssp70, plain, (spl10 | spl11 | spl31), inference(avatar_split_clause, [status(thm)], [p1003, sdef10, sdef11, sdef31])).
% 29.07/4.49 cnf(p1004, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X0) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p127, p56])).
% 29.07/4.49 cnf(ssp71, plain, (spl14 | spl18), inference(avatar_split_clause, [status(thm)], [p1004, sdef14, sdef18])).
% 29.07/4.49 cnf(p312, plain, convergent_lines(X0,sk2) | convergent_lines(X0,sk0), inference(resolution, [status(thm)], [p122, c2])).
% 29.07/4.49 cnf(p325, plain, convergent_lines(X0,sk0) | convergent_lines(X0,X1) | convergent_lines(sk2,X1), inference(resolution, [status(thm)], [p312, c5])).
% 29.07/4.49 cnf(p464, plain, convergent_lines(X0,sk0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p325, c13])).
% 29.07/4.49 cnf(p1005, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(X0,sk0) | convergent_lines(sk2,X1), inference(resolution, [status(thm)], [p127, p464])).
% 29.07/4.49 cnf(ssp72, plain, (spl27 | spl44), inference(avatar_split_clause, [status(thm)], [p1005, sdef27, sdef44])).
% 29.07/4.49 cnf(p386, plain, convergent_lines(X0,sk1) | distinct_lines(X0,sk0), inference(resolution, [status(thm)], [p214, c2])).
% 29.07/4.49 cnf(p394, plain, distinct_lines(X0,sk0) | convergent_lines(X0,X1) | convergent_lines(sk1,X1), inference(resolution, [status(thm)], [p386, c5])).
% 29.07/4.49 cnf(p496, plain, distinct_lines(X0,sk0) | convergent_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p394, c13])).
% 29.07/4.49 cnf(p1006, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk0) | convergent_lines(sk1,X1), inference(resolution, [status(thm)], [p127, p496])).
% 29.07/4.49 cnf(ssp73, plain, (spl22 | spl26), inference(avatar_split_clause, [status(thm)], [p1006, sdef22, sdef26])).
% 29.07/4.49 cnf(p57, plain, distinct_lines(sk0,X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p31, c4])).
% 29.07/4.49 cnf(p1007, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p127, p57])).
% 29.07/4.49 fof(sdef48, definition, (spl48 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl48])], [avatar_definition])).
% 29.07/4.49 cnf(ssp74, plain, (spl5 | spl7 | spl48), inference(avatar_split_clause, [status(thm)], [p1007, sdef5, sdef7, sdef48])).
% 29.07/4.49 cnf(p1009, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p127, p57])).
% 29.07/4.49 cnf(ssp75, plain, (spl10 | spl11 | spl35), inference(avatar_split_clause, [status(thm)], [p1009, sdef10, sdef11, sdef35])).
% 29.07/4.49 cnf(p1010, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk0,X0) | distinct_lines(sk2,X2) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p127, p57])).
% 29.07/4.49 cnf(ssp76, plain, (spl12 | spl36), inference(avatar_split_clause, [status(thm)], [p1010, sdef12, sdef36])).
% 29.07/4.49 cnf(p504, plain, convergent_lines(X0,sk0) | distinct_lines(X0,X1) | distinct_lines(sk1,X1), inference(resolution, [status(thm)], [p398, c13])).
% 29.07/4.49 cnf(p1011, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(X0,sk0) | distinct_lines(sk1,X1), inference(resolution, [status(thm)], [p127, p504])).
% 29.07/4.49 cnf(ssp77, plain, (spl15 | spl44), inference(avatar_split_clause, [status(thm)], [p1011, sdef15, sdef44])).
% 29.07/4.49 cnf(p1012, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk0) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p127, p504])).
% 29.07/4.49 fof(sdef49, definition, (spl49 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk0) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl49])], [avatar_definition])).
% 29.07/4.49 cnf(ssp78, plain, (spl8 | spl9 | spl49), inference(avatar_split_clause, [status(thm)], [p1012, sdef8, sdef9, sdef49])).
% 29.07/4.49 cnf(p452, plain, convergent_lines(X0,sk2) | distinct_lines(X0,sk0), inference(resolution, [status(thm)], [p314, c2])).
% 29.07/4.49 cnf(p460, plain, distinct_lines(X0,sk0) | convergent_lines(X0,X1) | convergent_lines(sk2,X1), inference(resolution, [status(thm)], [p452, c5])).
% 29.07/4.49 cnf(p534, plain, distinct_lines(X0,sk0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p460, c13])).
% 29.07/4.49 cnf(p1014, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk0) | convergent_lines(sk2,X1), inference(resolution, [status(thm)], [p127, p534])).
% 29.07/4.49 cnf(ssp79, plain, (spl22 | spl27), inference(avatar_split_clause, [status(thm)], [p1014, sdef22, sdef27])).
% 29.07/4.49 cnf(p542, plain, distinct_lines(sk0,X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk2), inference(resolution, [status(thm)], [p56, c1])).
% 29.07/4.49 cnf(p1015, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk2), inference(resolution, [status(thm)], [p127, p542])).
% 29.07/4.49 fof(sdef50, definition, (spl50 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk2))), introduced(definition, [new_symbols(naming, [spl50])], [avatar_definition])).
% 29.07/4.49 cnf(ssp80, plain, (spl5 | spl7 | spl50), inference(avatar_split_clause, [status(thm)], [p1015, sdef5, sdef7, sdef50])).
% 29.07/4.49 cnf(p545, plain, convergent_lines(X0,sk0) | distinct_lines(X0,X1) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p464, c13])).
% 29.07/4.49 cnf(p1017, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(X0,sk0) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p127, p545])).
% 29.07/4.49 cnf(ssp81, plain, (spl18 | spl44), inference(avatar_split_clause, [status(thm)], [p1017, sdef18, sdef44])).
% 29.07/4.49 cnf(p1018, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk0) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p127, p545])).
% 29.07/4.49 cnf(ssp82, plain, (spl10 | spl11 | spl49), inference(avatar_split_clause, [status(thm)], [p1018, sdef10, sdef11, sdef49])).
% 29.07/4.49 cnf(p397, plain, convergent_lines(X0,sk0) | convergent_lines(sk1,X0), inference(resolution, [status(thm)], [p239, c2])).
% 29.07/4.49 cnf(p409, plain, convergent_lines(sk1,X0) | convergent_lines(X0,X1) | convergent_lines(sk0,X1), inference(resolution, [status(thm)], [p397, c5])).
% 29.07/4.49 cnf(p520, plain, convergent_lines(sk1,X0) | convergent_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p409, c13])).
% 29.07/4.49 cnf(p578, plain, convergent_lines(sk1,X0) | distinct_lines(X0,X1) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p520, c13])).
% 29.07/4.49 cnf(p1019, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk1,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p127, p578])).
% 29.07/4.49 fof(sdef51, definition, (spl51 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk1,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl51])], [avatar_definition])).
% 29.07/4.49 cnf(ssp83, plain, (spl5 | spl7 | spl51), inference(avatar_split_clause, [status(thm)], [p1019, sdef5, sdef7, sdef51])).
% 29.07/4.49 cnf(p463, plain, convergent_lines(X0,sk0) | convergent_lines(sk2,X0), inference(resolution, [status(thm)], [p325, c2])).
% 29.07/4.49 cnf(p475, plain, convergent_lines(sk2,X0) | convergent_lines(X0,X1) | convergent_lines(sk0,X1), inference(resolution, [status(thm)], [p463, c5])).
% 29.07/4.49 cnf(p557, plain, convergent_lines(sk2,X0) | convergent_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p475, c13])).
% 29.07/4.49 cnf(p601, plain, convergent_lines(sk2,X0) | distinct_lines(X0,X1) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p557, c13])).
% 29.07/4.49 cnf(p1021, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk2,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p127, p601])).
% 29.07/4.49 fof(sdef52, definition, (spl52 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk2,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl52])], [avatar_definition])).
% 29.07/4.49 cnf(ssp84, plain, (spl5 | spl7 | spl52), inference(avatar_split_clause, [status(thm)], [p1021, sdef5, sdef7, sdef52])).
% 29.07/4.49 cnf(p67, plain, distinct_lines(X0,sk1) | distinct_lines(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p36, c4])).
% 29.07/4.49 cnf(p1023, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | distinct_lines(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p127, p67])).
% 29.07/4.49 fof(sdef53, definition, (spl53 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl53])], [avatar_definition])).
% 29.07/4.49 cnf(ssp85, plain, (spl8 | spl9 | spl53), inference(avatar_split_clause, [status(thm)], [p1023, sdef8, sdef9, sdef53])).
% 29.07/4.49 cnf(p1025, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk1) | distinct_lines(sk0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p127, p67])).
% 29.07/4.49 cnf(ssp86, plain, (spl16 | spl20), inference(avatar_split_clause, [status(thm)], [p1025, sdef16, sdef20])).
% 29.07/4.49 cnf(p1026, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk1) | distinct_lines(X1,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p127, p67])).
% 29.07/4.49 fof(sdef54, definition, (spl54 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk1) | distinct_lines(X1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl54])], [avatar_definition])).
% 29.07/4.49 cnf(ssp87, plain, (spl5 | spl7 | spl54), inference(avatar_split_clause, [status(thm)], [p1026, sdef5, sdef7, sdef54])).
% 29.07/4.49 cnf(p1028, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X2,sk1) | distinct_lines(X2,X0) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p127, p67])).
% 29.07/4.49 cnf(ssp88, plain, (spl12 | spl21), inference(avatar_split_clause, [status(thm)], [p1028, sdef12, sdef21])).
% 29.07/4.49 cnf(p621, plain, distinct_lines(X0,sk1) | distinct_lines(X0,X1) | distinct_lines(X1,sk0), inference(resolution, [status(thm)], [p67, c1])).
% 29.07/4.49 cnf(p1029, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | distinct_lines(X0,X1) | distinct_lines(X1,sk0), inference(resolution, [status(thm)], [p127, p621])).
% 29.07/4.49 fof(sdef55, definition, (spl55 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk0))), introduced(definition, [new_symbols(naming, [spl55])], [avatar_definition])).
% 29.07/4.49 cnf(ssp89, plain, (spl8 | spl9 | spl55), inference(avatar_split_clause, [status(thm)], [p1029, sdef8, sdef9, sdef55])).
% 29.07/4.49 cnf(p1031, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk1) | distinct_lines(X1,sk0), inference(resolution, [status(thm)], [p127, p621])).
% 29.07/4.49 cnf(ssp90, plain, (spl16 | spl22), inference(avatar_split_clause, [status(thm)], [p1031, sdef16, sdef22])).
% 29.07/4.49 cnf(p68, plain, distinct_lines(X0,sk1) | distinct_lines(sk0,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p36, c4])).
% 29.07/4.49 cnf(p1032, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk1) | distinct_lines(X1,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p127, p68])).
% 29.07/4.49 fof(sdef56, definition, (spl56 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk1) | distinct_lines(X1,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl56])], [avatar_definition])).
% 29.07/4.49 cnf(ssp91, plain, (spl5 | spl7 | spl56), inference(avatar_split_clause, [status(thm)], [p1032, sdef5, sdef7, sdef56])).
% 29.07/4.49 cnf(p1034, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk1) | distinct_lines(sk0,X2) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p127, p68])).
% 29.07/4.49 cnf(ssp92, plain, (spl14 | spl16), inference(avatar_split_clause, [status(thm)], [p1034, sdef14, sdef16])).
% 29.07/4.49 cnf(p75, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(sk1,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p40, c5])).
% 29.07/4.49 cnf(p640, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(X1,sk1), inference(resolution, [status(thm)], [p75, c2])).
% 29.07/4.49 cnf(p653, plain, convergent_lines(X0,X1) | convergent_lines(X1,sk1) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p640, c13])).
% 29.07/4.49 cnf(p663, plain, convergent_lines(X0,sk1) | distinct_lines(sk0,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p653, c13])).
% 29.07/4.49 cnf(p1035, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p127, p663])).
% 29.07/4.49 fof(sdef57, definition, (spl57 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl57])], [avatar_definition])).
% 29.07/4.49 cnf(ssp93, plain, (spl5 | spl7 | spl57), inference(avatar_split_clause, [status(thm)], [p1035, sdef5, sdef7, sdef57])).
% 29.07/4.49 cnf(p112, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(sk2,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p42, c5])).
% 29.07/4.49 cnf(p711, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(X1,sk2), inference(resolution, [status(thm)], [p112, c2])).
% 29.07/4.49 cnf(p724, plain, convergent_lines(X0,X1) | convergent_lines(X1,sk2) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p711, c13])).
% 29.07/4.49 cnf(p734, plain, convergent_lines(X0,sk2) | distinct_lines(sk0,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p724, c13])).
% 29.07/4.49 cnf(p1037, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk2) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p127, p734])).
% 29.07/4.49 fof(sdef58, definition, (spl58 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk2) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl58])], [avatar_definition])).
% 29.07/4.49 cnf(ssp94, plain, (spl5 | spl7 | spl58), inference(avatar_split_clause, [status(thm)], [p1037, sdef5, sdef7, sdef58])).
% 29.07/4.49 cnf(p141, plain, distinct_lines(sk1,X0) | convergent_lines(X0,X1) | convergent_lines(sk0,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p44, c5])).
% 29.07/4.49 cnf(p770, plain, distinct_lines(sk1,X0) | convergent_lines(X0,X1) | convergent_lines(X1,sk0), inference(resolution, [status(thm)], [p141, c2])).
% 29.07/4.49 cnf(p782, plain, distinct_lines(sk1,X0) | convergent_lines(X1,sk0) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p770, c13])).
% 29.07/4.49 cnf(p1039, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk0) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p127, p782])).
% 29.07/4.49 fof(sdef59, definition, (spl59 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk0) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl59])], [avatar_definition])).
% 29.07/4.49 cnf(ssp95, plain, (spl8 | spl9 | spl59), inference(avatar_split_clause, [status(thm)], [p1039, sdef8, sdef9, sdef59])).
% 29.07/4.49 cnf(p154, plain, distinct_lines(sk2,X0) | convergent_lines(X0,X1) | convergent_lines(sk0,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p53, c5])).
% 29.07/4.49 cnf(p803, plain, distinct_lines(sk2,X0) | convergent_lines(X0,X1) | convergent_lines(X1,sk0), inference(resolution, [status(thm)], [p154, c2])).
% 29.07/4.49 cnf(p815, plain, distinct_lines(sk2,X0) | convergent_lines(X1,sk0) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p803, c13])).
% 29.07/4.49 cnf(p1041, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk0) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p127, p815])).
% 29.07/4.49 cnf(ssp96, plain, (spl10 | spl11 | spl59), inference(avatar_split_clause, [status(thm)], [p1041, sdef10, sdef11, sdef59])).
% 29.07/4.49 cnf(p821, plain, distinct_lines(sk2,X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk0), inference(resolution, [status(thm)], [p815, c13])).
% 29.07/4.49 cnf(p1042, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk0), inference(resolution, [status(thm)], [p127, p821])).
% 29.07/4.49 cnf(ssp97, plain, (spl10 | spl11 | spl55), inference(avatar_split_clause, [status(thm)], [p1042, sdef10, sdef11, sdef55])).
% 29.07/4.49 cnf(p166, plain, distinct_lines(X0,sk2) | distinct_lines(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p58, c4])).
% 29.07/4.49 cnf(p1043, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | distinct_lines(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p127, p166])).
% 29.07/4.49 cnf(ssp98, plain, (spl10 | spl11 | spl53), inference(avatar_split_clause, [status(thm)], [p1043, sdef10, sdef11, sdef53])).
% 29.07/4.49 cnf(p1044, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk2) | distinct_lines(sk0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p127, p166])).
% 29.07/4.49 cnf(ssp99, plain, (spl19 | spl20), inference(avatar_split_clause, [status(thm)], [p1044, sdef19, sdef20])).
% 29.07/4.49 cnf(p1045, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p127, p166])).
% 29.07/4.49 fof(sdef60, definition, (spl60 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl60])], [avatar_definition])).
% 29.07/4.49 cnf(ssp100, plain, (spl5 | spl7 | spl60), inference(avatar_split_clause, [status(thm)], [p1045, sdef5, sdef7, sdef60])).
% 29.07/4.49 cnf(p1047, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X0) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p127, p166])).
% 29.07/4.49 cnf(ssp101, plain, (spl12 | spl23), inference(avatar_split_clause, [status(thm)], [p1047, sdef12, sdef23])).
% 29.07/4.49 cnf(p837, plain, distinct_lines(X0,sk2) | distinct_lines(X0,X1) | distinct_lines(X1,sk0), inference(resolution, [status(thm)], [p166, c1])).
% 29.07/4.49 cnf(p1048, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk2) | distinct_lines(X1,sk0), inference(resolution, [status(thm)], [p127, p837])).
% 29.07/4.49 cnf(ssp102, plain, (spl19 | spl22), inference(avatar_split_clause, [status(thm)], [p1048, sdef19, sdef22])).
% 29.07/4.49 cnf(p167, plain, distinct_lines(X0,sk2) | distinct_lines(sk0,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p58, c4])).
% 29.07/4.49 cnf(p1049, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p127, p167])).
% 29.07/4.49 fof(sdef61, definition, (spl61 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl61])], [avatar_definition])).
% 29.07/4.49 cnf(ssp103, plain, (spl5 | spl7 | spl61), inference(avatar_split_clause, [status(thm)], [p1049, sdef5, sdef7, sdef61])).
% 29.07/4.49 cnf(p1051, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk2) | distinct_lines(sk0,X2) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p127, p167])).
% 29.07/4.49 cnf(ssp104, plain, (spl14 | spl19), inference(avatar_split_clause, [status(thm)], [p1051, sdef14, sdef19])).
% 29.07/4.49 cnf(p168, plain, distinct_lines(X0,sk0) | distinct_lines(sk1,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p69, c4])).
% 29.07/4.49 cnf(p1052, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk0) | distinct_lines(X1,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p127, p168])).
% 29.07/4.49 fof(sdef62, definition, (spl62 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk0) | distinct_lines(X1,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl62])], [avatar_definition])).
% 29.07/4.49 cnf(ssp105, plain, (spl8 | spl9 | spl62), inference(avatar_split_clause, [status(thm)], [p1052, sdef8, sdef9, sdef62])).
% 29.07/4.49 cnf(p1054, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk0) | distinct_lines(sk1,X2) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p127, p168])).
% 29.07/4.49 cnf(ssp106, plain, (spl22 | spl33), inference(avatar_split_clause, [status(thm)], [p1054, sdef22, sdef33])).
% 29.07/4.49 cnf(p1055, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X2,sk0) | distinct_lines(sk1,X0) | distinct_lines(X2,X1), inference(resolution, [status(thm)], [p127, p168])).
% 29.07/4.49 cnf(ssp107, plain, (spl15 | spl24), inference(avatar_split_clause, [status(thm)], [p1055, sdef15, sdef24])).
% 29.07/4.49 cnf(p169, plain, distinct_lines(X0,sk0) | distinct_lines(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p69, c4])).
% 29.07/4.49 cnf(p1056, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk0) | distinct_lines(sk1,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p127, p169])).
% 29.07/4.49 cnf(ssp108, plain, (spl13 | spl22), inference(avatar_split_clause, [status(thm)], [p1056, sdef13, sdef22])).
% 29.07/4.49 cnf(p1057, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk0) | distinct_lines(X1,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p127, p169])).
% 29.07/4.49 fof(sdef63, definition, (spl63 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk0) | distinct_lines(X1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl63])], [avatar_definition])).
% 29.07/4.49 cnf(ssp109, plain, (spl8 | spl9 | spl63), inference(avatar_split_clause, [status(thm)], [p1057, sdef8, sdef9, sdef63])).
% 29.07/4.49 cnf(p88, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(X1,X2)) | convergent_lines(sk0,X1) | convergent_lines(sk1,X2), inference(resolution, [status(thm)], [c8, p40])).
% 29.07/4.49 cnf(p1075, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)) | convergent_lines(sk0,sk0) | convergent_lines(sk1,X0) | ~spl5), inference(resolution, [status(thm)], [p894, p88])).
% 29.07/4.49 fof(sdef64, definition, (spl64 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)) | convergent_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl64])], [avatar_definition])).
% 29.07/4.49 cnf(ssp110, plain, (~spl5 | spl64 | spl65), inference(avatar_split_clause, [status(thm)], [p1075, sdef64, sdef65])).
% 29.07/4.49 cnf(p116, plain, convergent_lines(sk0,X0) | convergent_lines(sk2,X1) | ~apart_point_and_line(X2,X0) | distinct_points(X2,intersection_point(X0,X1)), inference(resolution, [status(thm)], [p42, c8])).
% 29.07/4.49 cnf(p1081, plain, (convergent_lines(sk0,sk0) | convergent_lines(sk2,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)) | ~spl5), inference(resolution, [status(thm)], [p894, p116])).
% 29.07/4.49 fof(sdef66, definition, (spl66 <=> (convergent_lines(sk2,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)))), introduced(definition, [new_symbols(naming, [spl66])], [avatar_definition])).
% 29.07/4.49 cnf(ssp111, plain, (~spl5 | spl65 | spl66), inference(avatar_split_clause, [status(thm)], [p1081, sdef65, sdef66])).
% 29.07/4.49 cnf(p1100, plain, (distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,X0)) | convergent_lines(sk0,sk0) | convergent_lines(sk1,X0) | ~spl7), inference(resolution, [status(thm)], [p896, p88])).
% 29.07/4.49 fof(sdef67, definition, (spl67 <=> (distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,X0)) | convergent_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl67])], [avatar_definition])).
% 29.07/4.49 cnf(ssp112, plain, (~spl7 | spl65 | spl67), inference(avatar_split_clause, [status(thm)], [p1100, sdef65, sdef67])).
% 29.07/4.49 cnf(p1105, plain, (convergent_lines(sk0,sk0) | convergent_lines(sk2,X0) | distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,X0)) | ~spl7), inference(resolution, [status(thm)], [p896, p116])).
% 29.07/4.49 fof(sdef68, definition, (spl68 <=> (convergent_lines(sk2,X0) | distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,X0)))), introduced(definition, [new_symbols(naming, [spl68])], [avatar_definition])).
% 29.07/4.49 cnf(ssp113, plain, (~spl7 | spl65 | spl68), inference(avatar_split_clause, [status(thm)], [p1105, sdef65, sdef68])).
% 29.07/4.49 cnf(p128, plain, ~distinct_lines(X0,X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(intersection_point(sk0,sk1),X2), inference(resolution, [status(thm)], [c10, p20])).
% 29.07/4.49 cnf(p1120, plain, apart_point_and_line(intersection_point(sk0,sk2),line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(X0,sk0) | distinct_points(intersection_point(sk0,sk1),X0), inference(resolution, [status(thm)], [p128, c17])).
% 29.07/4.49 fof(sdef69, definition, (spl69 <=> (apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(X0,sk0) | distinct_points(intersection_point(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl69])], [avatar_definition])).
% 29.07/4.49 cnf(ssp114, plain, (spl6 | spl7 | spl69), inference(avatar_split_clause, [status(thm)], [p1120, sdef6, sdef7, sdef69])).
% 29.07/4.49 cnf(p1122, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk1),X0), inference(resolution, [status(thm)], [p128, p18])).
% 29.07/4.49 fof(sdef70, definition, (spl70 <=> (apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl70])], [avatar_definition])).
% 29.07/4.49 cnf(ssp115, plain, (spl7 | spl9 | spl70), inference(avatar_split_clause, [status(thm)], [p1122, sdef7, sdef9, sdef70])).
% 29.07/4.49 cnf(p1124, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | distinct_points(intersection_point(sk0,sk1),X0), inference(resolution, [status(thm)], [p128, p19])).
% 29.07/4.49 fof(sdef71, definition, (spl71 <=> (apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | distinct_points(intersection_point(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl71])], [avatar_definition])).
% 29.07/4.49 cnf(ssp116, plain, (spl7 | spl11 | spl71), inference(avatar_split_clause, [status(thm)], [p1124, sdef7, sdef11, sdef71])).
% 29.07/4.49 cnf(p1126, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p128, p28])).
% 29.07/4.49 fof(sdef72, definition, (spl72 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl72])], [avatar_definition])).
% 29.07/4.49 cnf(ssp117, plain, (spl9 | spl72), inference(avatar_split_clause, [status(thm)], [p1126, sdef9, sdef72])).
% 29.07/4.49 cnf(p1128, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p128, p29])).
% 29.07/4.49 fof(sdef73, definition, (spl73 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl73])], [avatar_definition])).
% 29.07/4.49 cnf(ssp118, plain, (spl11 | spl73), inference(avatar_split_clause, [status(thm)], [p1128, sdef11, sdef73])).
% 29.07/4.49 cnf(p1130, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p128, p30])).
% 29.07/4.49 fof(sdef74, definition, (spl74 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl74])], [avatar_definition])).
% 29.07/4.49 cnf(ssp119, plain, (spl7 | spl74), inference(avatar_split_clause, [status(thm)], [p1130, sdef7, sdef74])).
% 29.07/4.49 cnf(p1132, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p128, p30])).
% 29.07/4.49 fof(sdef75, definition, (spl75 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl75])], [avatar_definition])).
% 29.07/4.49 cnf(ssp120, plain, (spl9 | spl75), inference(avatar_split_clause, [status(thm)], [p1132, sdef9, sdef75])).
% 29.07/4.49 cnf(p1135, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk1), inference(resolution, [status(thm)], [p128, p32])).
% 29.07/4.49 fof(sdef76, definition, (spl76 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl76])], [avatar_definition])).
% 29.07/4.49 cnf(ssp121, plain, (spl7 | spl76), inference(avatar_split_clause, [status(thm)], [p1135, sdef7, sdef76])).
% 29.07/4.49 cnf(p1137, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p128, p31])).
% 29.07/4.49 fof(sdef77, definition, (spl77 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl77])], [avatar_definition])).
% 29.07/4.49 cnf(ssp122, plain, (spl7 | spl77), inference(avatar_split_clause, [status(thm)], [p1137, sdef7, sdef77])).
% 29.07/4.49 cnf(p1139, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p128, p31])).
% 29.07/4.49 fof(sdef78, definition, (spl78 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl78])], [avatar_definition])).
% 29.07/4.49 cnf(ssp123, plain, (spl11 | spl78), inference(avatar_split_clause, [status(thm)], [p1139, sdef11, sdef78])).
% 29.07/4.49 cnf(p1142, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk2), inference(resolution, [status(thm)], [p128, p54])).
% 29.07/4.49 fof(sdef79, definition, (spl79 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl79])], [avatar_definition])).
% 29.07/4.49 cnf(ssp124, plain, (spl7 | spl79), inference(avatar_split_clause, [status(thm)], [p1142, sdef7, sdef79])).
% 29.07/4.49 cnf(p1144, plain, apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p128, p36])).
% 29.07/4.49 fof(sdef80, definition, (spl80 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl80])], [avatar_definition])).
% 29.07/4.49 cnf(ssp125, plain, (spl9 | spl80), inference(avatar_split_clause, [status(thm)], [p1144, sdef9, sdef80])).
% 29.07/4.49 cnf(p1146, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk1) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p128, p36])).
% 29.07/4.49 fof(sdef81, definition, (spl81 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk1) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl81])], [avatar_definition])).
% 29.07/4.49 cnf(ssp126, plain, (spl7 | spl81), inference(avatar_split_clause, [status(thm)], [p1146, sdef7, sdef81])).
% 29.07/4.49 cnf(p1149, plain, apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk0), inference(resolution, [status(thm)], [p128, p66])).
% 29.07/4.49 fof(sdef82, definition, (spl82 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk0))), introduced(definition, [new_symbols(naming, [spl82])], [avatar_definition])).
% 29.07/4.49 cnf(ssp127, plain, (spl9 | spl82), inference(avatar_split_clause, [status(thm)], [p1149, sdef9, sdef82])).
% 29.07/4.49 cnf(p1151, plain, apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X0), inference(resolution, [status(thm)], [p128, p147])).
% 29.07/4.49 fof(sdef83, definition, (spl83 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl83])], [avatar_definition])).
% 29.07/4.49 cnf(ssp128, plain, (spl7 | spl83), inference(avatar_split_clause, [status(thm)], [p1151, sdef7, sdef83])).
% 29.07/4.49 cnf(p1153, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk0), inference(resolution, [status(thm)], [p128, p160])).
% 29.07/4.49 fof(sdef84, definition, (spl84 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk0))), introduced(definition, [new_symbols(naming, [spl84])], [avatar_definition])).
% 29.07/4.49 cnf(ssp129, plain, (spl11 | spl84), inference(avatar_split_clause, [status(thm)], [p1153, sdef11, sdef84])).
% 29.07/4.49 cnf(p1155, plain, apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X0), inference(resolution, [status(thm)], [p128, p160])).
% 29.07/4.49 fof(sdef85, definition, (spl85 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl85])], [avatar_definition])).
% 29.07/4.49 cnf(ssp130, plain, (spl7 | spl85), inference(avatar_split_clause, [status(thm)], [p1155, sdef7, sdef85])).
% 29.07/4.49 cnf(p1157, plain, apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p128, p58])).
% 29.07/4.49 fof(sdef86, definition, (spl86 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl86])], [avatar_definition])).
% 29.07/4.49 cnf(ssp131, plain, (spl11 | spl86), inference(avatar_split_clause, [status(thm)], [p1157, sdef11, sdef86])).
% 29.07/4.49 cnf(p1159, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p128, p58])).
% 29.07/4.49 fof(sdef87, definition, (spl87 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl87])], [avatar_definition])).
% 29.07/4.49 cnf(ssp132, plain, (spl7 | spl87), inference(avatar_split_clause, [status(thm)], [p1159, sdef7, sdef87])).
% 29.07/4.49 cnf(p1163, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk0) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p128, p69])).
% 29.07/4.49 fof(sdef88, definition, (spl88 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk0) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl88])], [avatar_definition])).
% 29.07/4.49 cnf(ssp133, plain, (spl9 | spl88), inference(avatar_split_clause, [status(thm)], [p1163, sdef9, sdef88])).
% 29.07/4.49 cnf(p1166, plain, apart_point_and_line(intersection_point(sk0,sk2),line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p128, p27])).
% 29.07/4.49 fof(sdef89, definition, (spl89 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl89])], [avatar_definition])).
% 29.07/4.49 cnf(ssp134, plain, (spl6 | spl89), inference(avatar_split_clause, [status(thm)], [p1166, sdef6, sdef89])).
% 29.07/4.49 cnf(p1169, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,X0) | distinct_lines(sk0,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p128, p33])).
% 29.07/4.49 fof(sdef90, definition, (spl90 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,X0) | distinct_lines(sk0,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl90])], [avatar_definition])).
% 29.07/4.49 cnf(ssp135, plain, (spl9 | spl90), inference(avatar_split_clause, [status(thm)], [p1169, sdef9, sdef90])).
% 29.07/4.49 cnf(p1172, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p128, p33])).
% 29.07/4.49 fof(sdef91, definition, (spl91 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl91])], [avatar_definition])).
% 29.07/4.49 cnf(ssp136, plain, (spl7 | spl91), inference(avatar_split_clause, [status(thm)], [p1172, sdef7, sdef91])).
% 29.07/4.49 cnf(p1175, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(sk1,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p128, p34])).
% 29.07/4.49 fof(sdef92, definition, (spl92 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(sk1,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl92])], [avatar_definition])).
% 29.07/4.49 cnf(ssp137, plain, (spl7 | spl92), inference(avatar_split_clause, [status(thm)], [p1175, sdef7, sdef92])).
% 29.07/4.49 cnf(p1177, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p128, p34])).
% 29.07/4.49 fof(sdef93, definition, (spl93 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl93])], [avatar_definition])).
% 29.07/4.49 cnf(ssp138, plain, (spl9 | spl93), inference(avatar_split_clause, [status(thm)], [p1177, sdef9, sdef93])).
% 29.07/4.49 cnf(p1180, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk0,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p128, p140])).
% 29.07/4.49 fof(sdef94, definition, (spl94 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk0,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl94])], [avatar_definition])).
% 29.07/4.49 cnf(ssp139, plain, (spl9 | spl94), inference(avatar_split_clause, [status(thm)], [p1180, sdef9, sdef94])).
% 29.07/4.49 cnf(p1183, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p128, p150])).
% 29.07/4.49 fof(sdef95, definition, (spl95 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl95])], [avatar_definition])).
% 29.07/4.49 cnf(ssp140, plain, (spl7 | spl95), inference(avatar_split_clause, [status(thm)], [p1183, sdef7, sdef95])).
% 29.07/4.49 cnf(p1185, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p128, p35])).
% 29.07/4.49 fof(sdef96, definition, (spl96 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl96])], [avatar_definition])).
% 29.07/4.49 cnf(ssp141, plain, (spl7 | spl96), inference(avatar_split_clause, [status(thm)], [p1185, sdef7, sdef96])).
% 29.07/4.49 cnf(p1187, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p128, p35])).
% 29.07/4.49 fof(sdef97, definition, (spl97 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl97])], [avatar_definition])).
% 29.07/4.49 cnf(ssp142, plain, (spl9 | spl97), inference(avatar_split_clause, [status(thm)], [p1187, sdef9, sdef97])).
% 29.07/4.49 cnf(p1190, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk0,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p128, p153])).
% 29.07/4.49 fof(sdef98, definition, (spl98 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk0,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl98])], [avatar_definition])).
% 29.07/4.49 cnf(ssp143, plain, (spl11 | spl98), inference(avatar_split_clause, [status(thm)], [p1190, sdef11, sdef98])).
% 29.07/4.49 cnf(p1193, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk0) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p128, p163])).
% 29.07/4.49 fof(sdef99, definition, (spl99 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk0) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl99])], [avatar_definition])).
% 29.07/4.49 cnf(ssp144, plain, (spl11 | spl99), inference(avatar_split_clause, [status(thm)], [p1193, sdef11, sdef99])).
% 29.07/4.49 cnf(p1196, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p128, p164])).
% 29.07/4.49 fof(sdef100, definition, (spl100 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl100])], [avatar_definition])).
% 29.07/4.49 cnf(ssp145, plain, (spl7 | spl100), inference(avatar_split_clause, [status(thm)], [p1196, sdef7, sdef100])).
% 29.07/4.49 cnf(p1198, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk1,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p128, p172])).
% 29.07/4.49 fof(sdef101, definition, (spl101 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk1,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl101])], [avatar_definition])).
% 29.07/4.49 cnf(ssp146, plain, (spl7 | spl101), inference(avatar_split_clause, [status(thm)], [p1198, sdef7, sdef101])).
% 29.07/4.49 cnf(p1201, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk0,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p128, p199])).
% 29.07/4.49 fof(sdef102, definition, (spl102 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk0,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl102])], [avatar_definition])).
% 29.07/4.49 cnf(ssp147, plain, (spl9 | spl102), inference(avatar_split_clause, [status(thm)], [p1201, sdef9, sdef102])).
% 29.07/4.49 cnf(p1205, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk2,X2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p128, p288])).
% 29.07/4.49 fof(sdef103, definition, (spl103 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk2,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl103])], [avatar_definition])).
% 29.07/4.49 cnf(ssp148, plain, (spl7 | spl103), inference(avatar_split_clause, [status(thm)], [p1205, sdef7, sdef103])).
% 29.07/4.49 cnf(p1208, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk0,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p128, p297])).
% 29.07/4.49 fof(sdef104, definition, (spl104 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk0,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl104])], [avatar_definition])).
% 29.07/4.49 cnf(ssp149, plain, (spl11 | spl104), inference(avatar_split_clause, [status(thm)], [p1208, sdef11, sdef104])).
% 29.07/4.49 cnf(p1211, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk1), inference(resolution, [status(thm)], [p128, p336])).
% 29.07/4.49 fof(sdef105, definition, (spl105 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk1))), introduced(definition, [new_symbols(naming, [spl105])], [avatar_definition])).
% 29.07/4.49 cnf(ssp150, plain, (spl7 | spl105), inference(avatar_split_clause, [status(thm)], [p1211, sdef7, sdef105])).
% 29.07/4.49 cnf(p1214, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk1) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p128, p379])).
% 29.07/4.49 fof(sdef106, definition, (spl106 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk1) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl106])], [avatar_definition])).
% 29.07/4.49 cnf(ssp151, plain, (spl7 | spl106), inference(avatar_split_clause, [status(thm)], [p1214, sdef7, sdef106])).
% 29.07/4.49 cnf(p1218, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,X0) | distinct_lines(sk0,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p128, p55])).
% 29.07/4.49 fof(sdef107, definition, (spl107 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,X0) | distinct_lines(sk0,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl107])], [avatar_definition])).
% 29.07/4.49 cnf(ssp152, plain, (spl11 | spl107), inference(avatar_split_clause, [status(thm)], [p1218, sdef11, sdef107])).
% 29.07/4.49 cnf(p1221, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p128, p55])).
% 29.07/4.49 fof(sdef108, definition, (spl108 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl108])], [avatar_definition])).
% 29.07/4.49 cnf(ssp153, plain, (spl7 | spl108), inference(avatar_split_clause, [status(thm)], [p1221, sdef7, sdef108])).
% 29.07/4.49 cnf(p1224, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p128, p445])).
% 29.07/4.49 fof(sdef109, definition, (spl109 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl109])], [avatar_definition])).
% 29.07/4.49 cnf(ssp154, plain, (spl7 | spl109), inference(avatar_split_clause, [status(thm)], [p1224, sdef7, sdef109])).
% 29.07/4.49 cnf(p1227, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(sk2,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p128, p56])).
% 29.07/4.49 fof(sdef110, definition, (spl110 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(sk2,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl110])], [avatar_definition])).
% 29.07/4.49 cnf(ssp155, plain, (spl7 | spl110), inference(avatar_split_clause, [status(thm)], [p1227, sdef7, sdef110])).
% 29.07/4.49 cnf(p1229, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p128, p56])).
% 29.07/4.49 fof(sdef111, definition, (spl111 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl111])], [avatar_definition])).
% 29.07/4.49 cnf(ssp156, plain, (spl11 | spl111), inference(avatar_split_clause, [status(thm)], [p1229, sdef11, sdef111])).
% 29.07/4.49 cnf(p1234, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p128, p57])).
% 29.07/4.49 fof(sdef112, definition, (spl112 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl112])], [avatar_definition])).
% 29.07/4.49 cnf(ssp157, plain, (spl7 | spl112), inference(avatar_split_clause, [status(thm)], [p1234, sdef7, sdef112])).
% 29.07/4.49 cnf(p1236, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p128, p57])).
% 29.07/4.49 fof(sdef113, definition, (spl113 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl113])], [avatar_definition])).
% 29.07/4.49 cnf(ssp158, plain, (spl11 | spl113), inference(avatar_split_clause, [status(thm)], [p1236, sdef11, sdef113])).
% 29.07/4.49 cnf(p1240, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk0) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p128, p504])).
% 29.07/4.49 fof(sdef114, definition, (spl114 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk0) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl114])], [avatar_definition])).
% 29.07/4.49 cnf(ssp159, plain, (spl9 | spl114), inference(avatar_split_clause, [status(thm)], [p1240, sdef9, sdef114])).
% 29.07/4.49 cnf(p1243, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk2), inference(resolution, [status(thm)], [p128, p542])).
% 29.07/4.49 fof(sdef115, definition, (spl115 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk2))), introduced(definition, [new_symbols(naming, [spl115])], [avatar_definition])).
% 29.07/4.49 cnf(ssp160, plain, (spl7 | spl115), inference(avatar_split_clause, [status(thm)], [p1243, sdef7, sdef115])).
% 29.07/4.49 cnf(p1246, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk0) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p128, p545])).
% 29.07/4.49 fof(sdef116, definition, (spl116 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk0) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl116])], [avatar_definition])).
% 29.07/4.49 cnf(ssp161, plain, (spl11 | spl116), inference(avatar_split_clause, [status(thm)], [p1246, sdef11, sdef116])).
% 29.07/4.49 cnf(p1248, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk1,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p128, p578])).
% 29.07/4.49 fof(sdef117, definition, (spl117 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl117])], [avatar_definition])).
% 29.07/4.49 cnf(ssp162, plain, (spl7 | spl117), inference(avatar_split_clause, [status(thm)], [p1248, sdef7, sdef117])).
% 29.07/4.49 cnf(p1250, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk2,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p128, p601])).
% 29.07/4.49 fof(sdef118, definition, (spl118 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk2,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl118])], [avatar_definition])).
% 29.07/4.49 cnf(ssp163, plain, (spl7 | spl118), inference(avatar_split_clause, [status(thm)], [p1250, sdef7, sdef118])).
% 29.07/4.49 cnf(p1252, plain, apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(sk0,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p128, p67])).
% 29.07/4.49 fof(sdef119, definition, (spl119 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(sk0,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl119])], [avatar_definition])).
% 29.07/4.49 cnf(ssp164, plain, (spl9 | spl119), inference(avatar_split_clause, [status(thm)], [p1252, sdef9, sdef119])).
% 29.07/4.49 cnf(p1255, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk1) | distinct_lines(X2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p128, p67])).
% 29.07/4.49 fof(sdef120, definition, (spl120 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk1) | distinct_lines(X2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl120])], [avatar_definition])).
% 29.07/4.49 cnf(ssp165, plain, (spl7 | spl120), inference(avatar_split_clause, [status(thm)], [p1255, sdef7, sdef120])).
% 29.07/4.49 cnf(p1258, plain, apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk0), inference(resolution, [status(thm)], [p128, p621])).
% 29.07/4.49 fof(sdef121, definition, (spl121 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk0))), introduced(definition, [new_symbols(naming, [spl121])], [avatar_definition])).
% 29.07/4.49 cnf(ssp166, plain, (spl9 | spl121), inference(avatar_split_clause, [status(thm)], [p1258, sdef9, sdef121])).
% 29.07/4.49 cnf(p1261, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk1) | distinct_lines(X2,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p128, p68])).
% 29.07/4.49 fof(sdef122, definition, (spl122 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk1) | distinct_lines(X2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl122])], [avatar_definition])).
% 29.07/4.49 cnf(ssp167, plain, (spl7 | spl122), inference(avatar_split_clause, [status(thm)], [p1261, sdef7, sdef122])).
% 29.07/4.49 cnf(p1264, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk1) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p128, p663])).
% 29.07/4.49 fof(sdef123, definition, (spl123 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk1) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl123])], [avatar_definition])).
% 29.07/4.49 cnf(ssp168, plain, (spl7 | spl123), inference(avatar_split_clause, [status(thm)], [p1264, sdef7, sdef123])).
% 29.07/4.49 cnf(p1266, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk2) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p128, p734])).
% 29.07/4.49 fof(sdef124, definition, (spl124 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl124])], [avatar_definition])).
% 29.07/4.49 cnf(ssp169, plain, (spl7 | spl124), inference(avatar_split_clause, [status(thm)], [p1266, sdef7, sdef124])).
% 29.07/4.49 cnf(p1268, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk0) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p128, p782])).
% 29.07/4.49 fof(sdef125, definition, (spl125 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk0) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl125])], [avatar_definition])).
% 29.07/4.49 cnf(ssp170, plain, (spl9 | spl125), inference(avatar_split_clause, [status(thm)], [p1268, sdef9, sdef125])).
% 29.07/4.49 cnf(p1270, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk0) | distinct_lines(X0,X2), inference(resolution, [status(thm)], [p128, p815])).
% 29.07/4.49 fof(sdef126, definition, (spl126 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk0) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl126])], [avatar_definition])).
% 29.07/4.49 cnf(ssp171, plain, (spl11 | spl126), inference(avatar_split_clause, [status(thm)], [p1270, sdef11, sdef126])).
% 29.07/4.49 cnf(p1272, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk0), inference(resolution, [status(thm)], [p128, p821])).
% 29.07/4.49 fof(sdef127, definition, (spl127 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk0))), introduced(definition, [new_symbols(naming, [spl127])], [avatar_definition])).
% 29.07/4.49 cnf(ssp172, plain, (spl11 | spl127), inference(avatar_split_clause, [status(thm)], [p1272, sdef11, sdef127])).
% 29.07/4.49 cnf(p1274, plain, apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(sk0,X3) | distinct_lines(X2,X3), inference(resolution, [status(thm)], [p128, p166])).
% 29.07/4.49 fof(sdef128, definition, (spl128 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(sk0,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl128])], [avatar_definition])).
% 29.07/4.49 cnf(ssp173, plain, (spl11 | spl128), inference(avatar_split_clause, [status(thm)], [p1274, sdef11, sdef128])).
% 29.07/4.49 cnf(p1277, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p128, p166])).
% 29.07/4.49 fof(sdef129, definition, (spl129 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl129])], [avatar_definition])).
% 29.07/4.49 cnf(ssp174, plain, (spl7 | spl129), inference(avatar_split_clause, [status(thm)], [p1277, sdef7, sdef129])).
% 29.07/4.49 cnf(p1281, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p128, p167])).
% 29.07/4.49 fof(sdef130, definition, (spl130 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl130])], [avatar_definition])).
% 29.07/4.49 cnf(ssp175, plain, (spl7 | spl130), inference(avatar_split_clause, [status(thm)], [p1281, sdef7, sdef130])).
% 29.07/4.49 cnf(p1284, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk0) | distinct_lines(X2,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p128, p168])).
% 29.07/4.49 fof(sdef131, definition, (spl131 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk0) | distinct_lines(X2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl131])], [avatar_definition])).
% 29.07/4.49 cnf(ssp176, plain, (spl9 | spl131), inference(avatar_split_clause, [status(thm)], [p1284, sdef9, sdef131])).
% 29.07/4.49 cnf(p1289, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk0) | distinct_lines(X2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p128, p169])).
% 29.07/4.49 fof(sdef132, definition, (spl132 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk0) | distinct_lines(X2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl132])], [avatar_definition])).
% 29.07/4.49 cnf(ssp177, plain, (spl9 | spl132), inference(avatar_split_clause, [status(thm)], [p1289, sdef9, sdef132])).
% 29.07/4.49 cnf(p129, plain, ~distinct_lines(X0,X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(intersection_point(sk0,sk2),X3) | distinct_points(X2,X3), inference(resolution, [status(thm)], [c10, p21])).
% 29.07/4.49 cnf(p1329, plain, apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(X0,sk0) | distinct_points(intersection_point(sk0,sk2),X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p129, c17])).
% 29.07/4.49 fof(sdef133, definition, (spl133 <=> (apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(X0,sk0) | distinct_points(intersection_point(sk0,sk2),X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl133])], [avatar_definition])).
% 29.07/4.49 cnf(ssp178, plain, (spl4 | spl5 | spl133), inference(avatar_split_clause, [status(thm)], [p1329, sdef4, sdef5, sdef133])).
% 29.07/4.49 cnf(p1331, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk2),X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p129, p18])).
% 29.07/4.49 fof(sdef134, definition, (spl134 <=> (apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk2),X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl134])], [avatar_definition])).
% 29.07/4.49 cnf(ssp179, plain, (spl5 | spl8 | spl134), inference(avatar_split_clause, [status(thm)], [p1331, sdef5, sdef8, sdef134])).
% 29.07/4.49 cnf(p1333, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | distinct_points(intersection_point(sk0,sk2),X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p129, p19])).
% 29.07/4.49 fof(sdef135, definition, (spl135 <=> (apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | distinct_points(intersection_point(sk0,sk2),X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl135])], [avatar_definition])).
% 29.07/4.49 cnf(ssp180, plain, (spl5 | spl10 | spl135), inference(avatar_split_clause, [status(thm)], [p1333, sdef5, sdef10, sdef135])).
% 29.07/4.49 cnf(p1335, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p129, p28])).
% 29.07/4.49 fof(sdef136, definition, (spl136 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl136])], [avatar_definition])).
% 29.07/4.49 cnf(ssp181, plain, (spl8 | spl136), inference(avatar_split_clause, [status(thm)], [p1335, sdef8, sdef136])).
% 29.07/4.49 cnf(p1337, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p129, p29])).
% 29.07/4.49 fof(sdef137, definition, (spl137 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl137])], [avatar_definition])).
% 29.07/4.49 cnf(ssp182, plain, (spl10 | spl137), inference(avatar_split_clause, [status(thm)], [p1337, sdef10, sdef137])).
% 29.07/4.49 cnf(p1339, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p129, p30])).
% 29.07/4.49 fof(sdef138, definition, (spl138 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl138])], [avatar_definition])).
% 29.07/4.49 cnf(ssp183, plain, (spl5 | spl138), inference(avatar_split_clause, [status(thm)], [p1339, sdef5, sdef138])).
% 29.07/4.49 cnf(p1341, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p129, p30])).
% 29.07/4.49 fof(sdef139, definition, (spl139 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl139])], [avatar_definition])).
% 29.07/4.49 cnf(ssp184, plain, (spl8 | spl139), inference(avatar_split_clause, [status(thm)], [p1341, sdef8, sdef139])).
% 29.07/4.49 cnf(p1344, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,sk1), inference(resolution, [status(thm)], [p129, p32])).
% 29.07/4.49 fof(sdef140, definition, (spl140 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl140])], [avatar_definition])).
% 29.07/4.49 cnf(ssp185, plain, (spl5 | spl140), inference(avatar_split_clause, [status(thm)], [p1344, sdef5, sdef140])).
% 29.07/4.49 cnf(p1346, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p129, p31])).
% 29.07/4.49 fof(sdef141, definition, (spl141 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl141])], [avatar_definition])).
% 29.07/4.49 cnf(ssp186, plain, (spl5 | spl141), inference(avatar_split_clause, [status(thm)], [p1346, sdef5, sdef141])).
% 29.07/4.49 cnf(p1348, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p129, p31])).
% 29.07/4.49 fof(sdef142, definition, (spl142 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl142])], [avatar_definition])).
% 29.07/4.49 cnf(ssp187, plain, (spl10 | spl142), inference(avatar_split_clause, [status(thm)], [p1348, sdef10, sdef142])).
% 29.07/4.49 cnf(p1351, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,sk2), inference(resolution, [status(thm)], [p129, p54])).
% 29.07/4.49 fof(sdef143, definition, (spl143 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl143])], [avatar_definition])).
% 29.07/4.49 cnf(ssp188, plain, (spl5 | spl143), inference(avatar_split_clause, [status(thm)], [p1351, sdef5, sdef143])).
% 29.07/4.49 cnf(p1353, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p129, p36])).
% 29.07/4.49 fof(sdef144, definition, (spl144 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl144])], [avatar_definition])).
% 29.07/4.49 cnf(ssp189, plain, (spl8 | spl144), inference(avatar_split_clause, [status(thm)], [p1353, sdef8, sdef144])).
% 29.07/4.49 cnf(p1355, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk1) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p129, p36])).
% 29.07/4.49 fof(sdef145, definition, (spl145 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk1) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl145])], [avatar_definition])).
% 29.07/4.49 cnf(ssp190, plain, (spl5 | spl145), inference(avatar_split_clause, [status(thm)], [p1355, sdef5, sdef145])).
% 29.07/4.49 cnf(p1358, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,sk0), inference(resolution, [status(thm)], [p129, p66])).
% 29.07/4.49 fof(sdef146, definition, (spl146 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,sk0))), introduced(definition, [new_symbols(naming, [spl146])], [avatar_definition])).
% 29.07/4.49 cnf(ssp191, plain, (spl8 | spl146), inference(avatar_split_clause, [status(thm)], [p1358, sdef8, sdef146])).
% 29.07/4.49 cnf(p1360, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk1,X0), inference(resolution, [status(thm)], [p129, p147])).
% 29.07/4.49 fof(sdef147, definition, (spl147 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl147])], [avatar_definition])).
% 29.07/4.49 cnf(ssp192, plain, (spl5 | spl147), inference(avatar_split_clause, [status(thm)], [p1360, sdef5, sdef147])).
% 29.07/4.49 cnf(p1362, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,sk0), inference(resolution, [status(thm)], [p129, p160])).
% 29.07/4.49 fof(sdef148, definition, (spl148 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,sk0))), introduced(definition, [new_symbols(naming, [spl148])], [avatar_definition])).
% 29.07/4.49 cnf(ssp193, plain, (spl10 | spl148), inference(avatar_split_clause, [status(thm)], [p1362, sdef10, sdef148])).
% 29.07/4.49 cnf(p1364, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk2,X0), inference(resolution, [status(thm)], [p129, p160])).
% 29.07/4.49 fof(sdef149, definition, (spl149 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl149])], [avatar_definition])).
% 29.07/4.49 cnf(ssp194, plain, (spl5 | spl149), inference(avatar_split_clause, [status(thm)], [p1364, sdef5, sdef149])).
% 29.07/4.49 cnf(p1366, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p129, p58])).
% 29.07/4.49 fof(sdef150, definition, (spl150 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl150])], [avatar_definition])).
% 29.07/4.49 cnf(ssp195, plain, (spl10 | spl150), inference(avatar_split_clause, [status(thm)], [p1366, sdef10, sdef150])).
% 29.07/4.49 cnf(p1368, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk2) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p129, p58])).
% 29.07/4.49 fof(sdef151, definition, (spl151 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk2) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl151])], [avatar_definition])).
% 29.07/4.49 cnf(ssp196, plain, (spl5 | spl151), inference(avatar_split_clause, [status(thm)], [p1368, sdef5, sdef151])).
% 29.07/4.49 cnf(p1372, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk0) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p129, p69])).
% 29.07/4.49 fof(sdef152, definition, (spl152 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk0) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl152])], [avatar_definition])).
% 29.07/4.49 cnf(ssp197, plain, (spl8 | spl152), inference(avatar_split_clause, [status(thm)], [p1372, sdef8, sdef152])).
% 29.07/4.49 cnf(p1375, plain, apart_point_and_line(intersection_point(sk0,sk1),line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p129, p27])).
% 29.07/4.49 fof(sdef153, definition, (spl153 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl153])], [avatar_definition])).
% 29.07/4.49 cnf(ssp198, plain, (spl4 | spl153), inference(avatar_split_clause, [status(thm)], [p1375, sdef4, sdef153])).
% 29.07/4.49 cnf(p1378, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,X0) | distinct_lines(sk0,X4) | distinct_lines(X3,X4), inference(resolution, [status(thm)], [p129, p33])).
% 29.07/4.49 fof(sdef154, definition, (spl154 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,X0) | distinct_lines(sk0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl154])], [avatar_definition])).
% 29.07/4.49 cnf(ssp199, plain, (spl8 | spl154), inference(avatar_split_clause, [status(thm)], [p1378, sdef8, sdef154])).
% 29.07/4.49 cnf(p1381, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0), inference(resolution, [status(thm)], [p129, p33])).
% 29.07/4.49 fof(sdef155, definition, (spl155 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl155])], [avatar_definition])).
% 29.07/4.49 cnf(ssp200, plain, (spl5 | spl155), inference(avatar_split_clause, [status(thm)], [p1381, sdef5, sdef155])).
% 29.07/4.49 cnf(p1384, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(sk1,X4) | distinct_lines(X3,X4), inference(resolution, [status(thm)], [p129, p34])).
% 29.07/4.49 fof(sdef156, definition, (spl156 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(sk1,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl156])], [avatar_definition])).
% 29.07/4.49 cnf(ssp201, plain, (spl5 | spl156), inference(avatar_split_clause, [status(thm)], [p1384, sdef5, sdef156])).
% 29.07/4.49 cnf(p1386, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0), inference(resolution, [status(thm)], [p129, p34])).
% 29.07/4.49 fof(sdef157, definition, (spl157 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl157])], [avatar_definition])).
% 29.07/4.49 cnf(ssp202, plain, (spl8 | spl157), inference(avatar_split_clause, [status(thm)], [p1386, sdef8, sdef157])).
% 29.07/4.49 cnf(p1389, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p129, p140])).
% 29.07/4.49 fof(sdef158, definition, (spl158 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl158])], [avatar_definition])).
% 29.07/4.49 cnf(ssp203, plain, (spl8 | spl158), inference(avatar_split_clause, [status(thm)], [p1389, sdef8, sdef158])).
% 29.07/4.49 cnf(p1392, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p129, p150])).
% 29.07/4.49 fof(sdef159, definition, (spl159 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl159])], [avatar_definition])).
% 29.07/4.49 cnf(ssp204, plain, (spl5 | spl159), inference(avatar_split_clause, [status(thm)], [p1392, sdef5, sdef159])).
% 29.07/4.49 cnf(p1394, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4), inference(resolution, [status(thm)], [p129, p35])).
% 29.07/4.49 fof(sdef160, definition, (spl160 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl160])], [avatar_definition])).
% 29.07/4.49 cnf(ssp205, plain, (spl5 | spl160), inference(avatar_split_clause, [status(thm)], [p1394, sdef5, sdef160])).
% 29.07/4.49 cnf(p1396, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X0,X4), inference(resolution, [status(thm)], [p129, p35])).
% 29.07/4.49 fof(sdef161, definition, (spl161 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X0,X4))), introduced(definition, [new_symbols(naming, [spl161])], [avatar_definition])).
% 29.07/4.49 cnf(ssp206, plain, (spl8 | spl161), inference(avatar_split_clause, [status(thm)], [p1396, sdef8, sdef161])).
% 29.07/4.49 cnf(p1399, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p129, p153])).
% 29.07/4.49 fof(sdef162, definition, (spl162 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl162])], [avatar_definition])).
% 29.07/4.49 cnf(ssp207, plain, (spl10 | spl162), inference(avatar_split_clause, [status(thm)], [p1399, sdef10, sdef162])).
% 29.07/4.49 cnf(p1402, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk0) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p129, p163])).
% 29.07/4.49 fof(sdef163, definition, (spl163 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk0) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl163])], [avatar_definition])).
% 29.07/4.49 cnf(ssp208, plain, (spl10 | spl163), inference(avatar_split_clause, [status(thm)], [p1402, sdef10, sdef163])).
% 29.07/4.49 cnf(p1405, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p129, p164])).
% 29.07/4.49 fof(sdef164, definition, (spl164 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl164])], [avatar_definition])).
% 29.07/4.49 cnf(ssp209, plain, (spl5 | spl164), inference(avatar_split_clause, [status(thm)], [p1405, sdef5, sdef164])).
% 29.07/4.49 cnf(p1407, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk1,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p129, p172])).
% 29.07/4.49 fof(sdef165, definition, (spl165 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk1,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl165])], [avatar_definition])).
% 29.07/4.49 cnf(ssp210, plain, (spl5 | spl165), inference(avatar_split_clause, [status(thm)], [p1407, sdef5, sdef165])).
% 29.07/4.49 cnf(p1410, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p129, p199])).
% 29.07/4.49 fof(sdef166, definition, (spl166 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl166])], [avatar_definition])).
% 29.07/4.49 cnf(ssp211, plain, (spl8 | spl166), inference(avatar_split_clause, [status(thm)], [p1410, sdef8, sdef166])).
% 29.07/4.49 cnf(p1414, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk2,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p129, p288])).
% 29.07/4.49 fof(sdef167, definition, (spl167 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl167])], [avatar_definition])).
% 29.07/4.49 cnf(ssp212, plain, (spl5 | spl167), inference(avatar_split_clause, [status(thm)], [p1414, sdef5, sdef167])).
% 29.07/4.49 cnf(p1417, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p129, p297])).
% 29.07/4.49 fof(sdef168, definition, (spl168 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl168])], [avatar_definition])).
% 29.07/4.49 cnf(ssp213, plain, (spl10 | spl168), inference(avatar_split_clause, [status(thm)], [p1417, sdef10, sdef168])).
% 29.07/4.49 cnf(p1420, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X3,sk1), inference(resolution, [status(thm)], [p129, p336])).
% 29.07/4.49 fof(sdef169, definition, (spl169 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X3,sk1))), introduced(definition, [new_symbols(naming, [spl169])], [avatar_definition])).
% 29.07/4.49 cnf(ssp214, plain, (spl5 | spl169), inference(avatar_split_clause, [status(thm)], [p1420, sdef5, sdef169])).
% 29.07/4.49 cnf(p1423, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk1) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p129, p379])).
% 29.07/4.49 fof(sdef170, definition, (spl170 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk1) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl170])], [avatar_definition])).
% 29.07/4.49 cnf(ssp215, plain, (spl5 | spl170), inference(avatar_split_clause, [status(thm)], [p1423, sdef5, sdef170])).
% 29.07/4.49 cnf(p1427, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,X0) | distinct_lines(sk0,X4) | distinct_lines(X3,X4), inference(resolution, [status(thm)], [p129, p55])).
% 29.07/4.49 fof(sdef171, definition, (spl171 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,X0) | distinct_lines(sk0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl171])], [avatar_definition])).
% 29.07/4.49 cnf(ssp216, plain, (spl10 | spl171), inference(avatar_split_clause, [status(thm)], [p1427, sdef10, sdef171])).
% 29.07/4.49 cnf(p1430, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0), inference(resolution, [status(thm)], [p129, p55])).
% 29.07/4.49 fof(sdef172, definition, (spl172 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl172])], [avatar_definition])).
% 29.07/4.49 cnf(ssp217, plain, (spl5 | spl172), inference(avatar_split_clause, [status(thm)], [p1430, sdef5, sdef172])).
% 29.07/4.49 cnf(p1433, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk2) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p129, p445])).
% 29.07/4.49 fof(sdef173, definition, (spl173 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk2) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl173])], [avatar_definition])).
% 29.07/4.49 cnf(ssp218, plain, (spl5 | spl173), inference(avatar_split_clause, [status(thm)], [p1433, sdef5, sdef173])).
% 29.07/4.49 cnf(p1436, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(sk2,X4) | distinct_lines(X3,X4), inference(resolution, [status(thm)], [p129, p56])).
% 29.07/4.49 fof(sdef174, definition, (spl174 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(sk2,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl174])], [avatar_definition])).
% 29.07/4.49 cnf(ssp219, plain, (spl5 | spl174), inference(avatar_split_clause, [status(thm)], [p1436, sdef5, sdef174])).
% 29.07/4.49 cnf(p1438, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0), inference(resolution, [status(thm)], [p129, p56])).
% 29.07/4.49 fof(sdef175, definition, (spl175 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl175])], [avatar_definition])).
% 29.07/4.49 cnf(ssp220, plain, (spl10 | spl175), inference(avatar_split_clause, [status(thm)], [p1438, sdef10, sdef175])).
% 29.07/4.49 cnf(p1443, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4), inference(resolution, [status(thm)], [p129, p57])).
% 29.07/4.49 fof(sdef176, definition, (spl176 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl176])], [avatar_definition])).
% 29.07/4.49 cnf(ssp221, plain, (spl5 | spl176), inference(avatar_split_clause, [status(thm)], [p1443, sdef5, sdef176])).
% 29.07/4.49 cnf(p1445, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X0,X4), inference(resolution, [status(thm)], [p129, p57])).
% 29.07/4.49 fof(sdef177, definition, (spl177 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X0,X4))), introduced(definition, [new_symbols(naming, [spl177])], [avatar_definition])).
% 29.07/4.49 cnf(ssp222, plain, (spl10 | spl177), inference(avatar_split_clause, [status(thm)], [p1445, sdef10, sdef177])).
% 29.07/4.49 cnf(p1449, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk0) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p129, p504])).
% 29.07/4.49 fof(sdef178, definition, (spl178 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk0) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl178])], [avatar_definition])).
% 29.07/4.49 cnf(ssp223, plain, (spl8 | spl178), inference(avatar_split_clause, [status(thm)], [p1449, sdef8, sdef178])).
% 29.07/4.49 cnf(p1452, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X3,sk2), inference(resolution, [status(thm)], [p129, p542])).
% 29.07/4.49 fof(sdef179, definition, (spl179 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X3,sk2))), introduced(definition, [new_symbols(naming, [spl179])], [avatar_definition])).
% 29.07/4.49 cnf(ssp224, plain, (spl5 | spl179), inference(avatar_split_clause, [status(thm)], [p1452, sdef5, sdef179])).
% 29.07/4.49 cnf(p1455, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk0) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p129, p545])).
% 29.07/4.49 fof(sdef180, definition, (spl180 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk0) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl180])], [avatar_definition])).
% 29.07/4.49 cnf(ssp225, plain, (spl10 | spl180), inference(avatar_split_clause, [status(thm)], [p1455, sdef10, sdef180])).
% 29.07/4.49 cnf(p1457, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk1,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p129, p578])).
% 29.07/4.49 fof(sdef181, definition, (spl181 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk1,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl181])], [avatar_definition])).
% 29.07/4.49 cnf(ssp226, plain, (spl5 | spl181), inference(avatar_split_clause, [status(thm)], [p1457, sdef5, sdef181])).
% 29.07/4.49 cnf(p1459, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p129, p601])).
% 29.07/4.49 fof(sdef182, definition, (spl182 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl182])], [avatar_definition])).
% 29.07/4.49 cnf(ssp227, plain, (spl5 | spl182), inference(avatar_split_clause, [status(thm)], [p1459, sdef5, sdef182])).
% 29.07/4.49 cnf(p1461, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(sk0,X4) | distinct_lines(X3,X4), inference(resolution, [status(thm)], [p129, p67])).
% 29.07/4.49 fof(sdef183, definition, (spl183 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(sk0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl183])], [avatar_definition])).
% 29.07/4.49 cnf(ssp228, plain, (spl8 | spl183), inference(avatar_split_clause, [status(thm)], [p1461, sdef8, sdef183])).
% 29.07/4.49 cnf(p1464, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk1) | distinct_lines(X3,X4) | distinct_lines(X4,X0), inference(resolution, [status(thm)], [p129, p67])).
% 29.07/4.49 fof(sdef184, definition, (spl184 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk1) | distinct_lines(X3,X4) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl184])], [avatar_definition])).
% 29.07/4.49 cnf(ssp229, plain, (spl5 | spl184), inference(avatar_split_clause, [status(thm)], [p1464, sdef5, sdef184])).
% 29.07/4.49 cnf(p1467, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X3,sk0), inference(resolution, [status(thm)], [p129, p621])).
% 29.07/4.49 fof(sdef185, definition, (spl185 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X3,sk0))), introduced(definition, [new_symbols(naming, [spl185])], [avatar_definition])).
% 29.07/4.49 cnf(ssp230, plain, (spl8 | spl185), inference(avatar_split_clause, [status(thm)], [p1467, sdef8, sdef185])).
% 29.07/4.49 cnf(p1470, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk1) | distinct_lines(X3,X4) | distinct_lines(X0,X4), inference(resolution, [status(thm)], [p129, p68])).
% 29.07/4.49 fof(sdef186, definition, (spl186 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk1) | distinct_lines(X3,X4) | distinct_lines(X0,X4))), introduced(definition, [new_symbols(naming, [spl186])], [avatar_definition])).
% 29.07/4.49 cnf(ssp231, plain, (spl5 | spl186), inference(avatar_split_clause, [status(thm)], [p1470, sdef5, sdef186])).
% 29.07/4.49 cnf(p1473, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk1) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p129, p663])).
% 29.07/4.49 fof(sdef187, definition, (spl187 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk1) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl187])], [avatar_definition])).
% 29.07/4.49 cnf(ssp232, plain, (spl5 | spl187), inference(avatar_split_clause, [status(thm)], [p1473, sdef5, sdef187])).
% 29.07/4.49 cnf(p1475, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk2) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p129, p734])).
% 29.07/4.49 fof(sdef188, definition, (spl188 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk2) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl188])], [avatar_definition])).
% 29.07/4.49 cnf(ssp233, plain, (spl5 | spl188), inference(avatar_split_clause, [status(thm)], [p1475, sdef5, sdef188])).
% 29.07/4.49 cnf(p1477, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk0) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p129, p782])).
% 29.07/4.49 fof(sdef189, definition, (spl189 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk0) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl189])], [avatar_definition])).
% 29.07/4.49 cnf(ssp234, plain, (spl8 | spl189), inference(avatar_split_clause, [status(thm)], [p1477, sdef8, sdef189])).
% 29.07/4.49 cnf(p1479, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk0) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p129, p815])).
% 29.07/4.49 fof(sdef190, definition, (spl190 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk0) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl190])], [avatar_definition])).
% 29.07/4.49 cnf(ssp235, plain, (spl10 | spl190), inference(avatar_split_clause, [status(thm)], [p1479, sdef10, sdef190])).
% 29.07/4.49 cnf(p1481, plain, apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X3,sk0), inference(resolution, [status(thm)], [p129, p821])).
% 29.07/4.49 fof(sdef191, definition, (spl191 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X3,sk0))), introduced(definition, [new_symbols(naming, [spl191])], [avatar_definition])).
% 29.07/4.49 cnf(ssp236, plain, (spl10 | spl191), inference(avatar_split_clause, [status(thm)], [p1481, sdef10, sdef191])).
% 29.07/4.49 cnf(p1483, plain, apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(sk0,X4) | distinct_lines(X3,X4), inference(resolution, [status(thm)], [p129, p166])).
% 29.07/4.49 fof(sdef192, definition, (spl192 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(sk0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl192])], [avatar_definition])).
% 29.07/4.49 cnf(ssp237, plain, (spl10 | spl192), inference(avatar_split_clause, [status(thm)], [p1483, sdef10, sdef192])).
% 29.07/4.49 cnf(p1486, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk2) | distinct_lines(X3,X4) | distinct_lines(X4,X0), inference(resolution, [status(thm)], [p129, p166])).
% 29.07/4.49 fof(sdef193, definition, (spl193 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk2) | distinct_lines(X3,X4) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl193])], [avatar_definition])).
% 29.07/4.49 cnf(ssp238, plain, (spl5 | spl193), inference(avatar_split_clause, [status(thm)], [p1486, sdef5, sdef193])).
% 29.07/4.49 cnf(p1490, plain, apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk2) | distinct_lines(X3,X4) | distinct_lines(X0,X4), inference(resolution, [status(thm)], [p129, p167])).
% 29.07/4.49 fof(sdef194, definition, (spl194 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk2) | distinct_lines(X3,X4) | distinct_lines(X0,X4))), introduced(definition, [new_symbols(naming, [spl194])], [avatar_definition])).
% 29.07/4.49 cnf(ssp239, plain, (spl5 | spl194), inference(avatar_split_clause, [status(thm)], [p1490, sdef5, sdef194])).
% 29.07/4.49 cnf(p1493, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk0) | distinct_lines(X3,X4) | distinct_lines(X0,X4), inference(resolution, [status(thm)], [p129, p168])).
% 29.07/4.49 fof(sdef195, definition, (spl195 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk0) | distinct_lines(X3,X4) | distinct_lines(X0,X4))), introduced(definition, [new_symbols(naming, [spl195])], [avatar_definition])).
% 29.07/4.49 cnf(ssp240, plain, (spl8 | spl195), inference(avatar_split_clause, [status(thm)], [p1493, sdef8, sdef195])).
% 29.07/4.49 cnf(p1498, plain, apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk0) | distinct_lines(X3,X4) | distinct_lines(X4,X0), inference(resolution, [status(thm)], [p129, p169])).
% 29.07/4.49 fof(sdef196, definition, (spl196 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk0) | distinct_lines(X3,X4) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl196])], [avatar_definition])).
% 29.07/4.49 cnf(ssp241, plain, (spl8 | spl196), inference(avatar_split_clause, [status(thm)], [p1498, sdef8, sdef196])).
% 29.07/4.49 cnf(p130, plain, ~distinct_lines(X0,X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(intersection_point(sk0,sk1),X3) | distinct_points(X3,X2), inference(resolution, [status(thm)], [c10, p21])).
% 29.07/4.49 cnf(p1510, plain, apart_point_and_line(intersection_point(sk0,sk2),line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(X0,sk0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X1,X0), inference(resolution, [status(thm)], [p130, c17])).
% 29.07/4.49 fof(sdef197, definition, (spl197 <=> (apart_point_and_line(X0,line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(X0,sk0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl197])], [avatar_definition])).
% 29.07/4.49 cnf(ssp242, plain, (spl6 | spl7 | spl197), inference(avatar_split_clause, [status(thm)], [p1510, sdef6, sdef7, sdef197])).
% 29.07/4.49 cnf(p1512, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X1,X0), inference(resolution, [status(thm)], [p130, p18])).
% 29.07/4.49 fof(sdef198, definition, (spl198 <=> (apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl198])], [avatar_definition])).
% 29.07/4.49 cnf(ssp243, plain, (spl7 | spl9 | spl198), inference(avatar_split_clause, [status(thm)], [p1512, sdef7, sdef9, sdef198])).
% 29.07/4.49 cnf(p1514, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X1,X0), inference(resolution, [status(thm)], [p130, p19])).
% 29.07/4.49 fof(sdef199, definition, (spl199 <=> (apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl199])], [avatar_definition])).
% 29.07/4.49 cnf(ssp244, plain, (spl7 | spl11 | spl199), inference(avatar_split_clause, [status(thm)], [p1514, sdef7, sdef11, sdef199])).
% 29.07/4.49 cnf(p1516, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p130, p28])).
% 29.07/4.49 fof(sdef200, definition, (spl200 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl200])], [avatar_definition])).
% 29.07/4.49 cnf(ssp245, plain, (spl9 | spl200), inference(avatar_split_clause, [status(thm)], [p1516, sdef9, sdef200])).
% 29.07/4.49 cnf(p1518, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p130, p29])).
% 29.07/4.49 fof(sdef201, definition, (spl201 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl201])], [avatar_definition])).
% 29.07/4.49 cnf(ssp246, plain, (spl11 | spl201), inference(avatar_split_clause, [status(thm)], [p1518, sdef11, sdef201])).
% 29.07/4.49 cnf(p1520, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk1,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p130, p30])).
% 29.07/4.49 fof(sdef202, definition, (spl202 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk1,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl202])], [avatar_definition])).
% 29.07/4.49 cnf(ssp247, plain, (spl7 | spl202), inference(avatar_split_clause, [status(thm)], [p1520, sdef7, sdef202])).
% 29.07/4.49 cnf(p1522, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p130, p30])).
% 29.07/4.49 fof(sdef203, definition, (spl203 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl203])], [avatar_definition])).
% 29.07/4.49 cnf(ssp248, plain, (spl9 | spl203), inference(avatar_split_clause, [status(thm)], [p1522, sdef9, sdef203])).
% 29.07/4.49 cnf(p1525, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,sk1), inference(resolution, [status(thm)], [p130, p32])).
% 29.07/4.49 fof(sdef204, definition, (spl204 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl204])], [avatar_definition])).
% 29.07/4.49 cnf(ssp249, plain, (spl7 | spl204), inference(avatar_split_clause, [status(thm)], [p1525, sdef7, sdef204])).
% 29.07/4.49 cnf(p1527, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk2,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p130, p31])).
% 29.07/4.49 fof(sdef205, definition, (spl205 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl205])], [avatar_definition])).
% 29.07/4.49 cnf(ssp250, plain, (spl7 | spl205), inference(avatar_split_clause, [status(thm)], [p1527, sdef7, sdef205])).
% 29.07/4.49 cnf(p1529, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p130, p31])).
% 29.07/4.50 fof(sdef206, definition, (spl206 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl206])], [avatar_definition])).
% 29.07/4.50 cnf(ssp251, plain, (spl11 | spl206), inference(avatar_split_clause, [status(thm)], [p1529, sdef11, sdef206])).
% 29.07/4.50 cnf(p1532, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,sk2), inference(resolution, [status(thm)], [p130, p54])).
% 29.07/4.50 fof(sdef207, definition, (spl207 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl207])], [avatar_definition])).
% 29.07/4.50 cnf(ssp252, plain, (spl7 | spl207), inference(avatar_split_clause, [status(thm)], [p1532, sdef7, sdef207])).
% 29.07/4.50 cnf(p1534, plain, apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p130, p36])).
% 29.07/4.50 fof(sdef208, definition, (spl208 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl208])], [avatar_definition])).
% 29.07/4.50 cnf(ssp253, plain, (spl9 | spl208), inference(avatar_split_clause, [status(thm)], [p1534, sdef9, sdef208])).
% 29.07/4.50 cnf(p1536, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk1) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p130, p36])).
% 29.07/4.50 fof(sdef209, definition, (spl209 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk1) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl209])], [avatar_definition])).
% 29.07/4.50 cnf(ssp254, plain, (spl7 | spl209), inference(avatar_split_clause, [status(thm)], [p1536, sdef7, sdef209])).
% 29.07/4.50 cnf(p1539, plain, apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,sk0), inference(resolution, [status(thm)], [p130, p66])).
% 29.07/4.50 fof(sdef210, definition, (spl210 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,sk0))), introduced(definition, [new_symbols(naming, [spl210])], [avatar_definition])).
% 29.07/4.50 cnf(ssp255, plain, (spl9 | spl210), inference(avatar_split_clause, [status(thm)], [p1539, sdef9, sdef210])).
% 29.07/4.50 cnf(p1541, plain, apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk1,X0), inference(resolution, [status(thm)], [p130, p147])).
% 29.07/4.50 fof(sdef211, definition, (spl211 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl211])], [avatar_definition])).
% 29.07/4.50 cnf(ssp256, plain, (spl7 | spl211), inference(avatar_split_clause, [status(thm)], [p1541, sdef7, sdef211])).
% 29.07/4.50 cnf(p1543, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,sk0), inference(resolution, [status(thm)], [p130, p160])).
% 29.07/4.50 fof(sdef212, definition, (spl212 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,sk0))), introduced(definition, [new_symbols(naming, [spl212])], [avatar_definition])).
% 29.07/4.50 cnf(ssp257, plain, (spl11 | spl212), inference(avatar_split_clause, [status(thm)], [p1543, sdef11, sdef212])).
% 29.07/4.50 cnf(p1545, plain, apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk2,X0), inference(resolution, [status(thm)], [p130, p160])).
% 29.07/4.50 fof(sdef213, definition, (spl213 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl213])], [avatar_definition])).
% 29.07/4.50 cnf(ssp258, plain, (spl7 | spl213), inference(avatar_split_clause, [status(thm)], [p1545, sdef7, sdef213])).
% 29.07/4.50 cnf(p1547, plain, apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p130, p58])).
% 29.07/4.50 fof(sdef214, definition, (spl214 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl214])], [avatar_definition])).
% 29.07/4.50 cnf(ssp259, plain, (spl11 | spl214), inference(avatar_split_clause, [status(thm)], [p1547, sdef11, sdef214])).
% 29.07/4.50 cnf(p1549, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk2) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p130, p58])).
% 29.07/4.50 fof(sdef215, definition, (spl215 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk2) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl215])], [avatar_definition])).
% 29.07/4.50 cnf(ssp260, plain, (spl7 | spl215), inference(avatar_split_clause, [status(thm)], [p1549, sdef7, sdef215])).
% 29.07/4.50 cnf(p1553, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk0) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p130, p69])).
% 29.07/4.50 fof(sdef216, definition, (spl216 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk0) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl216])], [avatar_definition])).
% 29.07/4.50 cnf(ssp261, plain, (spl9 | spl216), inference(avatar_split_clause, [status(thm)], [p1553, sdef9, sdef216])).
% 29.07/4.50 cnf(p1556, plain, apart_point_and_line(intersection_point(sk0,sk2),line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p130, p27])).
% 29.07/4.50 fof(sdef217, definition, (spl217 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,line_connecting(intersection_point(sk0,sk1),intersection_point(sk0,sk2))) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl217])], [avatar_definition])).
% 29.07/4.50 cnf(ssp262, plain, (spl6 | spl217), inference(avatar_split_clause, [status(thm)], [p1556, sdef6, sdef217])).
% 29.07/4.50 cnf(p1559, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,X0) | distinct_lines(sk0,X4) | distinct_lines(X3,X4), inference(resolution, [status(thm)], [p130, p33])).
% 29.07/4.50 fof(sdef218, definition, (spl218 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,X0) | distinct_lines(sk0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl218])], [avatar_definition])).
% 29.07/4.50 cnf(ssp263, plain, (spl9 | spl218), inference(avatar_split_clause, [status(thm)], [p1559, sdef9, sdef218])).
% 29.07/4.50 cnf(p1562, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk1,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0), inference(resolution, [status(thm)], [p130, p33])).
% 29.07/4.50 fof(sdef219, definition, (spl219 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk1,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl219])], [avatar_definition])).
% 29.07/4.50 cnf(ssp264, plain, (spl7 | spl219), inference(avatar_split_clause, [status(thm)], [p1562, sdef7, sdef219])).
% 29.07/4.50 cnf(p1565, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(sk1,X4) | distinct_lines(X3,X4), inference(resolution, [status(thm)], [p130, p34])).
% 29.07/4.50 fof(sdef220, definition, (spl220 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(sk1,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl220])], [avatar_definition])).
% 29.07/4.50 cnf(ssp265, plain, (spl7 | spl220), inference(avatar_split_clause, [status(thm)], [p1565, sdef7, sdef220])).
% 29.07/4.50 cnf(p1567, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0), inference(resolution, [status(thm)], [p130, p34])).
% 29.07/4.50 fof(sdef221, definition, (spl221 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl221])], [avatar_definition])).
% 29.07/4.50 cnf(ssp266, plain, (spl9 | spl221), inference(avatar_split_clause, [status(thm)], [p1567, sdef9, sdef221])).
% 29.07/4.50 cnf(p1570, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk0,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p130, p140])).
% 29.07/4.50 fof(sdef222, definition, (spl222 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk0,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl222])], [avatar_definition])).
% 29.07/4.50 cnf(ssp267, plain, (spl9 | spl222), inference(avatar_split_clause, [status(thm)], [p1570, sdef9, sdef222])).
% 29.07/4.50 cnf(p1573, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk1,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p130, p150])).
% 29.07/4.50 fof(sdef223, definition, (spl223 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk1,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl223])], [avatar_definition])).
% 29.07/4.50 cnf(ssp268, plain, (spl7 | spl223), inference(avatar_split_clause, [status(thm)], [p1573, sdef7, sdef223])).
% 29.07/4.50 cnf(p1575, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk1,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4), inference(resolution, [status(thm)], [p130, p35])).
% 29.07/4.50 fof(sdef224, definition, (spl224 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk1,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl224])], [avatar_definition])).
% 29.07/4.50 cnf(ssp269, plain, (spl7 | spl224), inference(avatar_split_clause, [status(thm)], [p1575, sdef7, sdef224])).
% 29.07/4.50 cnf(p1577, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X0,X4), inference(resolution, [status(thm)], [p130, p35])).
% 29.07/4.50 fof(sdef225, definition, (spl225 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X0,X4))), introduced(definition, [new_symbols(naming, [spl225])], [avatar_definition])).
% 29.07/4.50 cnf(ssp270, plain, (spl9 | spl225), inference(avatar_split_clause, [status(thm)], [p1577, sdef9, sdef225])).
% 29.07/4.50 cnf(p1580, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk0,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p130, p153])).
% 29.07/4.50 fof(sdef226, definition, (spl226 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk0,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl226])], [avatar_definition])).
% 29.07/4.50 cnf(ssp271, plain, (spl11 | spl226), inference(avatar_split_clause, [status(thm)], [p1580, sdef11, sdef226])).
% 29.07/4.50 cnf(p1583, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk0) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p130, p163])).
% 29.07/4.50 fof(sdef227, definition, (spl227 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk0) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl227])], [avatar_definition])).
% 29.07/4.50 cnf(ssp272, plain, (spl11 | spl227), inference(avatar_split_clause, [status(thm)], [p1583, sdef11, sdef227])).
% 29.07/4.50 cnf(p1586, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p130, p164])).
% 29.07/4.50 fof(sdef228, definition, (spl228 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl228])], [avatar_definition])).
% 29.07/4.50 cnf(ssp273, plain, (spl7 | spl228), inference(avatar_split_clause, [status(thm)], [p1586, sdef7, sdef228])).
% 29.07/4.50 cnf(p1588, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk1,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p130, p172])).
% 29.07/4.50 fof(sdef229, definition, (spl229 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk1,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl229])], [avatar_definition])).
% 29.07/4.50 cnf(ssp274, plain, (spl7 | spl229), inference(avatar_split_clause, [status(thm)], [p1588, sdef7, sdef229])).
% 29.07/4.50 cnf(p1591, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk0,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p130, p199])).
% 29.07/4.50 fof(sdef230, definition, (spl230 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk0,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl230])], [avatar_definition])).
% 29.07/4.50 cnf(ssp275, plain, (spl9 | spl230), inference(avatar_split_clause, [status(thm)], [p1591, sdef9, sdef230])).
% 29.07/4.50 cnf(p1595, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk2,X3) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p130, p288])).
% 29.07/4.50 fof(sdef231, definition, (spl231 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl231])], [avatar_definition])).
% 29.07/4.50 cnf(ssp276, plain, (spl7 | spl231), inference(avatar_split_clause, [status(thm)], [p1595, sdef7, sdef231])).
% 29.07/4.50 cnf(p1598, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk0,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p130, p297])).
% 29.07/4.50 fof(sdef232, definition, (spl232 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk0,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl232])], [avatar_definition])).
% 29.07/4.50 cnf(ssp277, plain, (spl11 | spl232), inference(avatar_split_clause, [status(thm)], [p1598, sdef11, sdef232])).
% 29.07/4.50 cnf(p1601, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(X3,sk1), inference(resolution, [status(thm)], [p130, p336])).
% 29.07/4.50 fof(sdef233, definition, (spl233 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(X3,sk1))), introduced(definition, [new_symbols(naming, [spl233])], [avatar_definition])).
% 29.07/4.50 cnf(ssp278, plain, (spl7 | spl233), inference(avatar_split_clause, [status(thm)], [p1601, sdef7, sdef233])).
% 29.07/4.50 cnf(p1604, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk1) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p130, p379])).
% 29.07/4.50 fof(sdef234, definition, (spl234 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk1) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl234])], [avatar_definition])).
% 29.07/4.50 cnf(ssp279, plain, (spl7 | spl234), inference(avatar_split_clause, [status(thm)], [p1604, sdef7, sdef234])).
% 29.07/4.50 cnf(p1608, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,X0) | distinct_lines(sk0,X4) | distinct_lines(X3,X4), inference(resolution, [status(thm)], [p130, p55])).
% 29.07/4.50 fof(sdef235, definition, (spl235 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,X0) | distinct_lines(sk0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl235])], [avatar_definition])).
% 29.07/4.50 cnf(ssp280, plain, (spl11 | spl235), inference(avatar_split_clause, [status(thm)], [p1608, sdef11, sdef235])).
% 29.07/4.50 cnf(p1611, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk2,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0), inference(resolution, [status(thm)], [p130, p55])).
% 29.07/4.50 fof(sdef236, definition, (spl236 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk2,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl236])], [avatar_definition])).
% 29.07/4.50 cnf(ssp281, plain, (spl7 | spl236), inference(avatar_split_clause, [status(thm)], [p1611, sdef7, sdef236])).
% 29.07/4.50 cnf(p1614, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk2) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p130, p445])).
% 29.07/4.50 fof(sdef237, definition, (spl237 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk2) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl237])], [avatar_definition])).
% 29.07/4.50 cnf(ssp282, plain, (spl7 | spl237), inference(avatar_split_clause, [status(thm)], [p1614, sdef7, sdef237])).
% 29.07/4.50 cnf(p1617, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(sk2,X4) | distinct_lines(X3,X4), inference(resolution, [status(thm)], [p130, p56])).
% 29.07/4.50 fof(sdef238, definition, (spl238 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(sk2,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl238])], [avatar_definition])).
% 29.07/4.50 cnf(ssp283, plain, (spl7 | spl238), inference(avatar_split_clause, [status(thm)], [p1617, sdef7, sdef238])).
% 29.07/4.50 cnf(p1619, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0), inference(resolution, [status(thm)], [p130, p56])).
% 29.07/4.50 fof(sdef239, definition, (spl239 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl239])], [avatar_definition])).
% 29.07/4.50 cnf(ssp284, plain, (spl11 | spl239), inference(avatar_split_clause, [status(thm)], [p1619, sdef11, sdef239])).
% 29.07/4.50 cnf(p1624, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk2,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4), inference(resolution, [status(thm)], [p130, p57])).
% 29.07/4.50 fof(sdef240, definition, (spl240 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk2,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl240])], [avatar_definition])).
% 29.07/4.50 cnf(ssp285, plain, (spl7 | spl240), inference(avatar_split_clause, [status(thm)], [p1624, sdef7, sdef240])).
% 29.07/4.50 cnf(p1626, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X0,X4), inference(resolution, [status(thm)], [p130, p57])).
% 29.07/4.50 fof(sdef241, definition, (spl241 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X0,X4))), introduced(definition, [new_symbols(naming, [spl241])], [avatar_definition])).
% 29.07/4.50 cnf(ssp286, plain, (spl11 | spl241), inference(avatar_split_clause, [status(thm)], [p1626, sdef11, sdef241])).
% 29.07/4.50 cnf(p1630, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk0) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p130, p504])).
% 29.07/4.50 fof(sdef242, definition, (spl242 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk0) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl242])], [avatar_definition])).
% 29.07/4.50 cnf(ssp287, plain, (spl9 | spl242), inference(avatar_split_clause, [status(thm)], [p1630, sdef9, sdef242])).
% 29.07/4.50 cnf(p1633, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(X3,sk2), inference(resolution, [status(thm)], [p130, p542])).
% 29.07/4.50 fof(sdef243, definition, (spl243 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(X3,sk2))), introduced(definition, [new_symbols(naming, [spl243])], [avatar_definition])).
% 29.07/4.50 cnf(ssp288, plain, (spl7 | spl243), inference(avatar_split_clause, [status(thm)], [p1633, sdef7, sdef243])).
% 29.07/4.50 cnf(p1636, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk0) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p130, p545])).
% 29.07/4.50 fof(sdef244, definition, (spl244 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk0) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl244])], [avatar_definition])).
% 29.07/4.50 cnf(ssp289, plain, (spl11 | spl244), inference(avatar_split_clause, [status(thm)], [p1636, sdef11, sdef244])).
% 29.07/4.50 cnf(p1638, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk1,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p130, p578])).
% 29.07/4.50 fof(sdef245, definition, (spl245 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk1,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl245])], [avatar_definition])).
% 29.07/4.50 cnf(ssp290, plain, (spl7 | spl245), inference(avatar_split_clause, [status(thm)], [p1638, sdef7, sdef245])).
% 29.07/4.50 cnf(p1640, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p130, p601])).
% 29.07/4.50 fof(sdef246, definition, (spl246 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl246])], [avatar_definition])).
% 29.07/4.50 cnf(ssp291, plain, (spl7 | spl246), inference(avatar_split_clause, [status(thm)], [p1640, sdef7, sdef246])).
% 29.07/4.50 cnf(p1642, plain, apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(sk0,X4) | distinct_lines(X3,X4), inference(resolution, [status(thm)], [p130, p67])).
% 29.07/4.50 fof(sdef247, definition, (spl247 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(sk0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl247])], [avatar_definition])).
% 29.07/4.50 cnf(ssp292, plain, (spl9 | spl247), inference(avatar_split_clause, [status(thm)], [p1642, sdef9, sdef247])).
% 29.07/4.50 cnf(p1645, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk1) | distinct_lines(X3,X4) | distinct_lines(X4,X0), inference(resolution, [status(thm)], [p130, p67])).
% 29.07/4.50 fof(sdef248, definition, (spl248 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk1) | distinct_lines(X3,X4) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl248])], [avatar_definition])).
% 29.07/4.50 cnf(ssp293, plain, (spl7 | spl248), inference(avatar_split_clause, [status(thm)], [p1645, sdef7, sdef248])).
% 29.07/4.50 cnf(p1648, plain, apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(X3,sk0), inference(resolution, [status(thm)], [p130, p621])).
% 29.07/4.50 fof(sdef249, definition, (spl249 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(X3,sk0))), introduced(definition, [new_symbols(naming, [spl249])], [avatar_definition])).
% 29.07/4.50 cnf(ssp294, plain, (spl9 | spl249), inference(avatar_split_clause, [status(thm)], [p1648, sdef9, sdef249])).
% 29.07/4.50 cnf(p1651, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk1) | distinct_lines(X3,X4) | distinct_lines(X0,X4), inference(resolution, [status(thm)], [p130, p68])).
% 29.07/4.50 fof(sdef250, definition, (spl250 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk1) | distinct_lines(X3,X4) | distinct_lines(X0,X4))), introduced(definition, [new_symbols(naming, [spl250])], [avatar_definition])).
% 29.07/4.50 cnf(ssp295, plain, (spl7 | spl250), inference(avatar_split_clause, [status(thm)], [p1651, sdef7, sdef250])).
% 29.07/4.50 cnf(p1654, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk1) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p130, p663])).
% 29.07/4.50 fof(sdef251, definition, (spl251 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk1) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl251])], [avatar_definition])).
% 29.07/4.50 cnf(ssp296, plain, (spl7 | spl251), inference(avatar_split_clause, [status(thm)], [p1654, sdef7, sdef251])).
% 29.07/4.50 cnf(p1656, plain, apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk2) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p130, p734])).
% 29.07/4.50 fof(sdef252, definition, (spl252 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk2) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl252])], [avatar_definition])).
% 29.07/4.50 cnf(ssp297, plain, (spl7 | spl252), inference(avatar_split_clause, [status(thm)], [p1656, sdef7, sdef252])).
% 29.07/4.50 cnf(p1658, plain, apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk0) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p130, p782])).
% 29.07/4.50 fof(sdef253, definition, (spl253 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk0) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl253])], [avatar_definition])).
% 29.07/4.50 cnf(ssp298, plain, (spl9 | spl253), inference(avatar_split_clause, [status(thm)], [p1658, sdef9, sdef253])).
% 29.07/4.50 cnf(p1660, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk0) | distinct_lines(X0,X3), inference(resolution, [status(thm)], [p130, p815])).
% 29.07/4.50 fof(sdef254, definition, (spl254 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk0) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl254])], [avatar_definition])).
% 29.07/4.50 cnf(ssp299, plain, (spl11 | spl254), inference(avatar_split_clause, [status(thm)], [p1660, sdef11, sdef254])).
% 29.07/4.50 cnf(p1662, plain, apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(X3,sk0), inference(resolution, [status(thm)], [p130, p821])).
% 29.07/4.50 fof(sdef255, definition, (spl255 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(X3,sk0))), introduced(definition, [new_symbols(naming, [spl255])], [avatar_definition])).
% 29.07/4.50 cnf(ssp300, plain, (spl11 | spl255), inference(avatar_split_clause, [status(thm)], [p1662, sdef11, sdef255])).
% 29.07/4.50 cnf(sat_ref, plain, $false, inference(avatar_sat_refutation, [status(thm)], [ssp0, ssp1, ssp2, ssp3, ssp4, ssp5, ssp6, ssp7, ssp8, ssp9, ssp10, ssp11, ssp12, ssp13, ssp14, ssp15, ssp16, ssp17, ssp18, ssp19, ssp20, ssp21, ssp22, ssp23, ssp24, ssp25, ssp26, ssp27, ssp28, ssp29, ssp30, ssp31, ssp32, ssp33, ssp34, ssp35, ssp36, ssp37, ssp38, ssp39, ssp40, ssp41, ssp42, ssp43, ssp44, ssp45, ssp46, ssp47, ssp48, ssp49, ssp50, ssp51, ssp52, ssp53, ssp54, ssp55, ssp56, ssp57, ssp58, ssp59, ssp60, ssp61, ssp62, ssp63, ssp64, ssp65, ssp66, ssp67, ssp68, ssp69, ssp70, ssp71, ssp72, ssp73, ssp74, ssp75, ssp76, ssp77, ssp78, ssp79, ssp80, ssp81, ssp82, ssp83, ssp84, ssp85, ssp86, ssp87, ssp88, ssp89, ssp90, ssp91, ssp92, ssp93, ssp94, ssp95, ssp96, ssp97, ssp98, ssp99, ssp100, ssp101, ssp102, ssp103, ssp104, ssp105, ssp106, ssp107, ssp108, ssp109, ssp110, ssp111, ssp112, ssp113, ssp114, ssp115, ssp116, ssp117, ssp118, ssp119, ssp120, ssp121, ssp122, ssp123, ssp124, ssp125, ssp126, ssp127, ssp128, ssp129, ssp130, ssp131, ssp132, ssp133, ssp134, ssp135, ssp136, ssp137, ssp138, ssp139, ssp140, ssp141, ssp142, ssp143, ssp144, ssp145, ssp146, ssp147, ssp148, ssp149, ssp150, ssp151, ssp152, ssp153, ssp154, ssp155, ssp156, ssp157, ssp158, ssp159, ssp160, ssp161, ssp162, ssp163, ssp164, ssp165, ssp166, ssp167, ssp168, ssp169, ssp170, ssp171, ssp172, ssp173, ssp174, ssp175, ssp176, ssp177, ssp178, ssp179, ssp180, ssp181, ssp182, ssp183, ssp184, ssp185, ssp186, ssp187, ssp188, ssp189, ssp190, ssp191, ssp192, ssp193, ssp194, ssp195, ssp196, ssp197, ssp198, ssp199, ssp200, ssp201, ssp202, ssp203, ssp204, ssp205, ssp206, ssp207, ssp208, ssp209, ssp210, ssp211, ssp212, ssp213, ssp214, ssp215, ssp216, ssp217, ssp218, ssp219, ssp220, ssp221, ssp222, ssp223, ssp224, ssp225, ssp226, ssp227, ssp228, ssp229, ssp230, ssp231, ssp232, ssp233, ssp234, ssp235, ssp236, ssp237, ssp238, ssp239, ssp240, ssp241, ssp242, ssp243, ssp244, ssp245, ssp246, ssp247, ssp248, ssp249, ssp250, ssp251, ssp252, ssp253, ssp254, ssp255, ssp256, ssp257, ssp258, ssp259, ssp260, ssp261, ssp262, ssp263, ssp264, ssp265, ssp266, ssp267, ssp268, ssp269, ssp270, ssp271, ssp272, ssp273, ssp274, ssp275, ssp276, ssp277, ssp278, ssp279, ssp280, ssp281, ssp282, ssp283, ssp284, ssp285, ssp286, ssp287, ssp288, ssp289, ssp290, ssp291, ssp292, ssp293, ssp294, ssp295, ssp296, ssp297, ssp298, ssp299, ssp300, sct0, sct1, sct2, sct3, sct4, sct5, sct6, sct7])).
% 29.07/4.50 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------