%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO182+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 : n017.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 01:17:19 PM UTC 2026
% Result : Theorem 25.55s 3.78s
% Output : Proof 25.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO182+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.35 % Computer : n017.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Wed Sep 23 11:14:45 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 25.55/3.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.55/3.78 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.55/3.78 fof(sdef1, definition, (spl1 <=> (distinct_points(sk2,sk2))), introduced(definition, [new_symbols(naming, [spl1])], [avatar_definition])).
% 25.55/3.78 cnf(p412, plain, (distinct_points(sk2,sk2) | ~spl1), inference(avatar_component_clause, [status(thm)], [sdef1])).
% 25.55/3.78 fof(f0, axiom, ! [X] : ~ distinct_points(X,X), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart1)).
% 25.55/3.78 fof(f0_nnf, plain, ! [X] : (~(distinct_points(X,X))), inference(nnf_transformation, [status(thm)], [f0])).
% 25.55/3.78 fof(f0_sk, plain, ! [X] : (~(distinct_points(X,X))), inference(skolemisation, [status(esa)], [f0_nnf])).
% 25.55/3.78 cnf(c0, plain, ~distinct_points(X0,X0), inference(cnf_transformation, [status(esa)], [f0_sk])).
% 25.55/3.78 cnf(p441, plain, ($false | ~spl1), inference(resolution, [status(thm)], [p412, c0])).
% 25.55/3.78 cnf(sct0, plain, (~spl1), inference(avatar_contradiction_clause, [status(thm)], [p441])).
% 25.55/3.78 fof(sdef3, definition, (spl3 <=> (distinct_points(sk2,X0) | distinct_points(X0,sk2))), introduced(definition, [new_symbols(naming, [spl3])], [avatar_definition])).
% 25.55/3.78 cnf(p416, plain, (distinct_points(sk2,X0) | distinct_points(X0,sk2) | ~spl3), inference(avatar_component_clause, [status(thm)], [sdef3])).
% 25.55/3.78 cnf(p444, plain, (distinct_points(sk2,sk2) | ~spl3), inference(factoring, [status(thm)], [p416])).
% 25.55/3.78 cnf(p453, plain, ($false | ~spl3), inference(resolution, [status(thm)], [p444, c0])).
% 25.55/3.78 cnf(sct1, plain, (~spl3), inference(avatar_contradiction_clause, [status(thm)], [p453])).
% 25.55/3.78 fof(sdef29, definition, (spl29 <=> (apart_point_and_line(sk0,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl29])], [avatar_definition])).
% 25.55/3.78 cnf(p791, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | ~spl29), inference(avatar_component_clause, [status(thm)], [sdef29])).
% 25.55/3.78 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)).
% 25.55/3.78 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])).
% 25.55/3.78 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])).
% 25.55/3.78 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])).
% 25.55/3.78 fof(f12, conjecture, ! [X,Y,Z] : ( distinct_points(X,Y) => ( apart_point_and_line(Z,line_connecting(X,Y)) => apart_point_and_line(Z,line_connecting(Y,X)) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 25.55/3.78 fof(f12_neg, negated_conjecture, ~(! [X,Y,Z] : ( distinct_points(X,Y) => ( apart_point_and_line(Z,line_connecting(X,Y)) => apart_point_and_line(Z,line_connecting(Y,X)) ) )), inference(negated_conjecture, [status(cth)], [f12])).
% 25.55/3.78 fof(f12_nnf, plain, ? [X,Y,Z] : ((distinct_points(X,Y) & (apart_point_and_line(Z,line_connecting(X,Y)) & ~(apart_point_and_line(Z,line_connecting(Y,X)))))), inference(nnf_transformation, [status(thm)], [f12_neg])).
% 25.55/3.78 fof(f12_sk, plain, (distinct_points(sk0,sk1) & (apart_point_and_line(sk2,line_connecting(sk0,sk1)) & ~(apart_point_and_line(sk2,line_connecting(sk1,sk0))))), inference(skolemisation, [status(esa), new_symbols(skolem, [sk0,sk1,sk2])], [f12_nnf])).
% 25.55/3.78 cnf(c14, plain, distinct_points(sk0,sk1), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 25.55/3.78 cnf(p34, plain, ~apart_point_and_line(X0,line_connecting(sk0,sk1)) | distinct_points(X0,sk0), inference(resolution, [status(thm)], [c6, c14])).
% 25.55/3.78 cnf(p848, plain, (distinct_points(sk0,sk0) | ~spl29), inference(resolution, [status(thm)], [p791, p34])).
% 25.55/3.78 cnf(p851, plain, ($false | ~spl29), inference(resolution, [status(thm)], [p848, c0])).
% 25.55/3.78 cnf(sct2, plain, (~spl29), inference(avatar_contradiction_clause, [status(thm)], [p851])).
% 25.55/3.78 fof(sdef31, definition, (spl31 <=> (apart_point_and_line(sk1,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl31])], [avatar_definition])).
% 25.55/3.78 cnf(p793, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | ~spl31), inference(avatar_component_clause, [status(thm)], [sdef31])).
% 25.55/3.78 cnf(c7, plain, ~distinct_points(X0,X1) | ~apart_point_and_line(X2,line_connecting(X0,X1)) | distinct_points(X2,X1), inference(cnf_transformation, [status(esa)], [f6_sk])).
% 25.55/3.78 cnf(p61, plain, ~apart_point_and_line(X0,line_connecting(sk0,sk1)) | distinct_points(X0,sk1), inference(resolution, [status(thm)], [c7, c14])).
% 25.55/3.78 cnf(p852, plain, (distinct_points(sk1,sk1) | ~spl31), inference(resolution, [status(thm)], [p793, p61])).
% 25.55/3.78 cnf(p855, plain, ($false | ~spl31), inference(resolution, [status(thm)], [p852, c0])).
% 25.55/3.78 cnf(sct3, plain, (~spl31), inference(avatar_contradiction_clause, [status(thm)], [p855])).
% 25.55/3.78 fof(sdef33, definition, (spl33 <=> (apart_point_and_line(sk0,line_connecting(sk2,sk0)))), introduced(definition, [new_symbols(naming, [spl33])], [avatar_definition])).
% 25.55/3.78 cnf(p797, plain, (apart_point_and_line(sk0,line_connecting(sk2,sk0)) | ~spl33), inference(avatar_component_clause, [status(thm)], [sdef33])).
% 25.55/3.78 cnf(c15, plain, apart_point_and_line(sk2,line_connecting(sk0,sk1)), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 25.55/3.78 cnf(p54, plain, distinct_points(sk2,sk0), inference(resolution, [status(thm)], [p34, c15])).
% 25.55/3.78 cnf(p81, plain, ~apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(X0,sk0), inference(resolution, [status(thm)], [c7, p54])).
% 25.55/3.78 cnf(p911, plain, (distinct_points(sk0,sk0) | ~spl33), inference(resolution, [status(thm)], [p797, p81])).
% 25.55/3.78 cnf(p914, plain, ($false | ~spl33), inference(resolution, [status(thm)], [p911, c0])).
% 25.55/3.78 cnf(sct4, plain, (~spl33), inference(avatar_contradiction_clause, [status(thm)], [p914])).
% 25.55/3.78 fof(sdef35, definition, (spl35 <=> (apart_point_and_line(sk0,line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl35])], [avatar_definition])).
% 25.55/3.78 cnf(p800, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk2)) | ~spl35), inference(avatar_component_clause, [status(thm)], [sdef35])).
% 25.55/3.78 fof(f3, axiom, ! [X,Y,Z] : ( distinct_points(X,Y) => ( distinct_points(X,Z) | distinct_points(Y,Z) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart4)).
% 25.55/3.78 fof(f3_nnf, plain, ! [X,Y,Z] : ((~(distinct_points(X,Y)) | (distinct_points(X,Z) | distinct_points(Y,Z)))), inference(nnf_transformation, [status(thm)], [f3])).
% 25.55/3.78 fof(f3_sk, plain, ! [X,Y,Z] : ((~(distinct_points(X,Y)) | (distinct_points(X,Z) | distinct_points(Y,Z)))), inference(skolemisation, [status(esa)], [f3_nnf])).
% 25.55/3.78 cnf(c3, plain, ~distinct_points(X0,X1) | distinct_points(X0,X2) | distinct_points(X1,X2), inference(cnf_transformation, [status(esa)], [f3_sk])).
% 25.55/3.78 cnf(p55, plain, distinct_points(sk2,X0) | distinct_points(sk0,X0), inference(resolution, [status(thm)], [p54, c3])).
% 25.55/3.78 cnf(p57, plain, distinct_points(sk0,sk2), inference(resolution, [status(thm)], [p55, c0])).
% 25.55/3.78 cnf(p60, plain, ~apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(X0,sk0), inference(resolution, [status(thm)], [p57, c6])).
% 25.55/3.78 cnf(p917, plain, (distinct_points(sk0,sk0) | ~spl35), inference(resolution, [status(thm)], [p800, p60])).
% 25.55/3.78 cnf(p975, plain, ($false | ~spl35), inference(resolution, [status(thm)], [p917, c0])).
% 25.55/3.78 cnf(sct5, plain, (~spl35), inference(avatar_contradiction_clause, [status(thm)], [p975])).
% 25.55/3.78 fof(sdef38, definition, (spl38 <=> (apart_point_and_line(sk1,line_connecting(sk2,sk1)))), introduced(definition, [new_symbols(naming, [spl38])], [avatar_definition])).
% 25.55/3.78 cnf(p804, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk1)) | ~spl38), inference(avatar_component_clause, [status(thm)], [sdef38])).
% 25.55/3.78 cnf(p84, plain, distinct_points(sk2,sk1), inference(resolution, [status(thm)], [p61, c15])).
% 25.55/3.78 cnf(p87, plain, ~apart_point_and_line(X0,line_connecting(sk2,sk1)) | distinct_points(X0,sk1), inference(resolution, [status(thm)], [p84, c7])).
% 25.55/3.78 cnf(p980, plain, (distinct_points(sk1,sk1) | ~spl38), inference(resolution, [status(thm)], [p804, p87])).
% 25.55/3.78 cnf(p1038, plain, ($false | ~spl38), inference(resolution, [status(thm)], [p980, c0])).
% 25.55/3.78 cnf(sct6, plain, (~spl38), inference(avatar_contradiction_clause, [status(thm)], [p1038])).
% 25.55/3.78 fof(sdef40, definition, (spl40 <=> (apart_point_and_line(sk1,line_connecting(sk1,sk2)))), introduced(definition, [new_symbols(naming, [spl40])], [avatar_definition])).
% 25.55/3.78 cnf(p807, plain, (apart_point_and_line(sk1,line_connecting(sk1,sk2)) | ~spl40), inference(avatar_component_clause, [status(thm)], [sdef40])).
% 25.55/3.78 cnf(p85, plain, distinct_points(sk2,X0) | distinct_points(sk1,X0), inference(resolution, [status(thm)], [p84, c3])).
% 25.55/3.78 cnf(p88, plain, distinct_points(sk1,sk2), inference(resolution, [status(thm)], [p85, c0])).
% 25.55/3.78 cnf(p92, plain, ~apart_point_and_line(X0,line_connecting(sk1,sk2)) | distinct_points(X0,sk1), inference(resolution, [status(thm)], [p88, c6])).
% 25.55/3.78 cnf(p1041, plain, (distinct_points(sk1,sk1) | ~spl40), inference(resolution, [status(thm)], [p807, p92])).
% 25.55/3.78 cnf(p1044, plain, ($false | ~spl40), inference(resolution, [status(thm)], [p1041, c0])).
% 25.55/3.78 cnf(sct7, plain, (~spl40), inference(avatar_contradiction_clause, [status(thm)], [p1044])).
% 25.55/3.78 fof(sdef51, definition, (spl51 <=> (apart_point_and_line(sk0,line_connecting(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl51])], [avatar_definition])).
% 25.55/3.78 cnf(p833, plain, (apart_point_and_line(sk0,line_connecting(sk1,sk0)) | ~spl51), inference(avatar_component_clause, [status(thm)], [sdef51])).
% 25.55/3.78 cnf(p17, plain, distinct_points(sk0,X0) | distinct_points(sk1,X0), inference(resolution, [status(thm)], [c3, c14])).
% 25.55/3.78 cnf(p18, plain, distinct_points(sk0,X0) | distinct_points(sk1,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p17, c3])).
% 25.55/3.78 cnf(p19, plain, distinct_points(sk0,X0) | distinct_points(X0,sk1), inference(resolution, [status(thm)], [p18, c0])).
% 25.55/3.78 cnf(p23, plain, distinct_points(X0,sk1) | distinct_points(sk0,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p19, c3])).
% 25.55/3.78 cnf(p24, plain, distinct_points(X0,sk1) | distinct_points(X0,sk0), inference(resolution, [status(thm)], [p23, c0])).
% 25.55/3.78 cnf(p27, plain, distinct_points(sk1,sk0), inference(resolution, [status(thm)], [p24, c0])).
% 25.55/3.78 cnf(p72, plain, ~apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(X0,sk0), inference(resolution, [status(thm)], [c7, p27])).
% 25.55/3.78 cnf(p1082, plain, (distinct_points(sk0,sk0) | ~spl51), inference(resolution, [status(thm)], [p833, p72])).
% 25.55/3.78 cnf(p1085, plain, ($false | ~spl51), inference(resolution, [status(thm)], [p1082, c0])).
% 25.55/3.78 cnf(sct8, plain, (~spl51), inference(avatar_contradiction_clause, [status(thm)], [p1085])).
% 25.55/3.78 fof(sdef52, definition, (spl52 <=> (apart_point_and_line(sk1,line_connecting(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl52])], [avatar_definition])).
% 25.55/3.78 cnf(p834, plain, (apart_point_and_line(sk1,line_connecting(sk1,sk0)) | ~spl52), inference(avatar_component_clause, [status(thm)], [sdef52])).
% 25.55/3.78 cnf(p45, plain, ~apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(X0,sk1), inference(resolution, [status(thm)], [c6, p27])).
% 25.55/3.78 cnf(p1086, plain, (distinct_points(sk1,sk1) | ~spl52), inference(resolution, [status(thm)], [p834, p45])).
% 25.55/3.78 cnf(p1089, plain, ($false | ~spl52), inference(resolution, [status(thm)], [p1086, c0])).
% 25.55/3.78 cnf(sct9, plain, (~spl52), inference(avatar_contradiction_clause, [status(thm)], [p1089])).
% 25.55/3.78 fof(f10, axiom, ! [X,Y,Z] : ( apart_point_and_line(X,Y) => ( distinct_lines(Y,Z) | apart_point_and_line(X,Z) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ceq2)).
% 25.55/3.78 fof(f10_nnf, plain, ! [X,Y,Z] : ((~(apart_point_and_line(X,Y)) | (distinct_lines(Y,Z) | apart_point_and_line(X,Z)))), inference(nnf_transformation, [status(thm)], [f10])).
% 25.55/3.78 fof(f10_sk, plain, ! [X,Y,Z] : ((~(apart_point_and_line(X,Y)) | (distinct_lines(Y,Z) | apart_point_and_line(X,Z)))), inference(skolemisation, [status(esa)], [f10_nnf])).
% 25.55/3.78 cnf(c12, plain, ~apart_point_and_line(X0,X1) | distinct_lines(X1,X2) | apart_point_and_line(X0,X2), inference(cnf_transformation, [status(esa)], [f10_sk])).
% 25.55/3.78 fof(f9, axiom, ! [X,Y,Z] : ( apart_point_and_line(X,Y) => ( distinct_points(X,Z) | apart_point_and_line(Z,Y) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ceq1)).
% 25.55/3.78 fof(f9_nnf, plain, ! [X,Y,Z] : ((~(apart_point_and_line(X,Y)) | (distinct_points(X,Z) | apart_point_and_line(Z,Y)))), inference(nnf_transformation, [status(thm)], [f9])).
% 25.55/3.78 fof(f9_sk, plain, ! [X,Y,Z] : ((~(apart_point_and_line(X,Y)) | (distinct_points(X,Z) | apart_point_and_line(Z,Y)))), inference(skolemisation, [status(esa)], [f9_nnf])).
% 25.55/3.78 cnf(c11, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,X2) | apart_point_and_line(X2,X1), inference(cnf_transformation, [status(esa)], [f9_sk])).
% 25.55/3.78 cnf(p131, plain, distinct_points(sk2,X0) | apart_point_and_line(X0,line_connecting(sk0,sk1)), inference(resolution, [status(thm)], [c11, c15])).
% 25.55/3.78 cnf(p165, plain, distinct_lines(line_connecting(sk0,sk1),X0) | apart_point_and_line(X1,X0) | distinct_points(sk2,X1), inference(resolution, [status(thm)], [c12, p131])).
% 25.55/3.78 cnf(c16, plain, ~apart_point_and_line(sk2,line_connecting(sk1,sk0)), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 25.55/3.78 cnf(p410, plain, distinct_lines(line_connecting(sk0,sk1),line_connecting(sk1,sk0)) | distinct_points(sk2,sk2), inference(resolution, [status(thm)], [p165, c16])).
% 25.55/3.78 fof(sdef0, definition, (spl0 <=> (distinct_lines(line_connecting(sk0,sk1),line_connecting(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl0])], [avatar_definition])).
% 25.55/3.78 cnf(ssp0, plain, (spl0 | spl1), inference(avatar_split_clause, [status(thm)], [p410, sdef0, sdef1])).
% 25.55/3.78 cnf(p56, plain, ~apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(X0,sk2), inference(resolution, [status(thm)], [p54, c6])).
% 25.55/3.78 cnf(p414, plain, distinct_lines(line_connecting(sk0,sk1),line_connecting(sk2,sk0)) | distinct_points(sk2,X0) | distinct_points(X0,sk2), inference(resolution, [status(thm)], [p165, p56])).
% 25.55/3.78 fof(sdef2, definition, (spl2 <=> (distinct_lines(line_connecting(sk0,sk1),line_connecting(sk2,sk0)))), introduced(definition, [new_symbols(naming, [spl2])], [avatar_definition])).
% 25.55/3.78 cnf(ssp1, plain, (spl2 | spl3), inference(avatar_split_clause, [status(thm)], [p414, sdef2, sdef3])).
% 25.55/3.78 cnf(p83, plain, ~apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(X0,sk2), inference(resolution, [status(thm)], [c7, p57])).
% 25.55/3.78 cnf(p417, plain, distinct_lines(line_connecting(sk0,sk1),line_connecting(sk0,sk2)) | distinct_points(sk2,X0) | distinct_points(X0,sk2), inference(resolution, [status(thm)], [p165, p83])).
% 25.55/3.78 fof(sdef4, definition, (spl4 <=> (distinct_lines(line_connecting(sk0,sk1),line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl4])], [avatar_definition])).
% 25.55/3.78 cnf(ssp2, plain, (spl3 | spl4), inference(avatar_split_clause, [status(thm)], [p417, sdef3, sdef4])).
% 25.55/3.78 cnf(p86, plain, ~apart_point_and_line(X0,line_connecting(sk2,sk1)) | distinct_points(X0,sk2), inference(resolution, [status(thm)], [p84, c6])).
% 25.55/3.78 cnf(p419, plain, distinct_lines(line_connecting(sk0,sk1),line_connecting(sk2,sk1)) | distinct_points(sk2,X0) | distinct_points(X0,sk2), inference(resolution, [status(thm)], [p165, p86])).
% 25.55/3.78 fof(sdef5, definition, (spl5 <=> (distinct_lines(line_connecting(sk0,sk1),line_connecting(sk2,sk1)))), introduced(definition, [new_symbols(naming, [spl5])], [avatar_definition])).
% 25.55/3.78 cnf(ssp3, plain, (spl3 | spl5), inference(avatar_split_clause, [status(thm)], [p419, sdef3, sdef5])).
% 25.55/3.78 cnf(p93, plain, ~apart_point_and_line(X0,line_connecting(sk1,sk2)) | distinct_points(X0,sk2), inference(resolution, [status(thm)], [p88, c7])).
% 25.55/3.78 cnf(p421, plain, distinct_lines(line_connecting(sk0,sk1),line_connecting(sk1,sk2)) | distinct_points(sk2,X0) | distinct_points(X0,sk2), inference(resolution, [status(thm)], [p165, p93])).
% 25.55/3.78 fof(sdef6, definition, (spl6 <=> (distinct_lines(line_connecting(sk0,sk1),line_connecting(sk1,sk2)))), introduced(definition, [new_symbols(naming, [spl6])], [avatar_definition])).
% 25.55/3.78 cnf(ssp4, plain, (spl3 | spl6), inference(avatar_split_clause, [status(thm)], [p421, sdef3, sdef6])).
% 25.55/3.78 cnf(p59, plain, distinct_points(sk0,X0) | ~apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(X1,sk2), inference(resolution, [status(thm)], [p55, c6])).
% 25.55/3.78 cnf(p424, plain, distinct_lines(line_connecting(sk0,sk1),line_connecting(sk2,X0)) | distinct_points(sk2,X1) | distinct_points(sk0,X0) | distinct_points(X1,sk2), inference(resolution, [status(thm)], [p165, p59])).
% 25.55/3.78 fof(sdef7, definition, (spl7 <=> (distinct_lines(line_connecting(sk0,sk1),line_connecting(sk2,X0)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl7])], [avatar_definition])).
% 25.55/3.78 cnf(ssp5, plain, (spl3 | spl7), inference(avatar_split_clause, [status(thm)], [p424, sdef3, sdef7])).
% 25.55/3.78 cnf(p90, plain, distinct_points(sk1,X0) | ~apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(X1,sk2), inference(resolution, [status(thm)], [p85, c6])).
% 25.55/3.78 cnf(p426, plain, distinct_lines(line_connecting(sk0,sk1),line_connecting(sk2,X0)) | distinct_points(sk2,X1) | distinct_points(sk1,X0) | distinct_points(X1,sk2), inference(resolution, [status(thm)], [p165, p90])).
% 25.55/3.78 fof(sdef8, definition, (spl8 <=> (distinct_lines(line_connecting(sk0,sk1),line_connecting(sk2,X0)) | distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl8])], [avatar_definition])).
% 25.55/3.78 cnf(ssp6, plain, (spl3 | spl8), inference(avatar_split_clause, [status(thm)], [p426, sdef3, sdef8])).
% 25.55/3.78 cnf(p58, plain, distinct_points(sk0,X0) | distinct_points(sk2,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p55, c3])).
% 25.55/3.78 cnf(p112, plain, distinct_points(sk0,X0) | distinct_points(X0,sk2), inference(resolution, [status(thm)], [p58, c0])).
% 25.55/3.78 cnf(p129, plain, distinct_points(sk0,X0) | ~apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(X1,sk2), inference(resolution, [status(thm)], [p112, c7])).
% 25.55/3.78 cnf(p429, plain, distinct_lines(line_connecting(sk0,sk1),line_connecting(X0,sk2)) | distinct_points(sk2,X1) | distinct_points(sk0,X0) | distinct_points(X1,sk2), inference(resolution, [status(thm)], [p165, p129])).
% 25.55/3.78 fof(sdef9, definition, (spl9 <=> (distinct_lines(line_connecting(sk0,sk1),line_connecting(X0,sk2)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl9])], [avatar_definition])).
% 25.55/3.78 cnf(ssp7, plain, (spl3 | spl9), inference(avatar_split_clause, [status(thm)], [p429, sdef3, sdef9])).
% 25.55/3.78 cnf(p132, plain, distinct_points(sk2,X0) | distinct_points(X0,sk0), inference(resolution, [status(thm)], [p131, p34])).
% 25.55/3.78 cnf(p137, plain, distinct_points(X0,sk0) | ~apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(X1,sk2), inference(resolution, [status(thm)], [p132, c6])).
% 25.55/3.78 cnf(p431, plain, distinct_lines(line_connecting(sk0,sk1),line_connecting(sk2,X0)) | distinct_points(sk2,X1) | distinct_points(X0,sk0) | distinct_points(X1,sk2), inference(resolution, [status(thm)], [p165, p137])).
% 25.55/3.78 fof(sdef10, definition, (spl10 <=> (distinct_lines(line_connecting(sk0,sk1),line_connecting(sk2,X0)) | distinct_points(X0,sk0))), introduced(definition, [new_symbols(naming, [spl10])], [avatar_definition])).
% 25.55/3.78 cnf(ssp8, plain, (spl3 | spl10), inference(avatar_split_clause, [status(thm)], [p431, sdef3, sdef10])).
% 25.55/3.78 cnf(p138, plain, distinct_points(sk2,X0) | ~apart_point_and_line(X1,line_connecting(X0,sk0)) | distinct_points(X1,X0), inference(resolution, [status(thm)], [p132, c6])).
% 25.55/3.78 cnf(p408, plain, distinct_points(sk2,X0) | ~apart_point_and_line(sk2,line_connecting(X0,sk0)), inference(factoring, [status(thm)], [p138])).
% 25.55/3.78 cnf(p434, plain, distinct_lines(line_connecting(sk0,sk1),line_connecting(X0,sk0)) | distinct_points(sk2,sk2) | distinct_points(sk2,X0), inference(resolution, [status(thm)], [p165, p408])).
% 25.55/3.78 fof(sdef11, definition, (spl11 <=> (distinct_lines(line_connecting(sk0,sk1),line_connecting(X0,sk0)) | distinct_points(sk2,X0))), introduced(definition, [new_symbols(naming, [spl11])], [avatar_definition])).
% 25.55/3.78 cnf(ssp9, plain, (spl1 | spl11), inference(avatar_split_clause, [status(thm)], [p434, sdef1, sdef11])).
% 25.55/3.78 cnf(p133, plain, distinct_points(sk2,X0) | distinct_points(X0,sk1), inference(resolution, [status(thm)], [p131, p61])).
% 25.55/3.78 cnf(p145, plain, distinct_points(X0,sk1) | ~apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(X1,sk2), inference(resolution, [status(thm)], [p133, c6])).
% 25.55/3.78 cnf(p436, plain, distinct_lines(line_connecting(sk0,sk1),line_connecting(sk2,X0)) | distinct_points(sk2,X1) | distinct_points(X0,sk1) | distinct_points(X1,sk2), inference(resolution, [status(thm)], [p165, p145])).
% 25.55/3.78 fof(sdef12, definition, (spl12 <=> (distinct_lines(line_connecting(sk0,sk1),line_connecting(sk2,X0)) | distinct_points(X0,sk1))), introduced(definition, [new_symbols(naming, [spl12])], [avatar_definition])).
% 25.55/3.78 cnf(ssp10, plain, (spl3 | spl12), inference(avatar_split_clause, [status(thm)], [p436, sdef3, sdef12])).
% 25.55/3.78 cnf(p146, plain, distinct_points(sk2,X0) | ~apart_point_and_line(X1,line_connecting(X0,sk1)) | distinct_points(X1,X0), inference(resolution, [status(thm)], [p133, c6])).
% 25.55/3.78 cnf(p409, plain, distinct_points(sk2,X0) | ~apart_point_and_line(sk2,line_connecting(X0,sk1)), inference(factoring, [status(thm)], [p146])).
% 25.55/3.78 cnf(p439, plain, distinct_lines(line_connecting(sk0,sk1),line_connecting(X0,sk1)) | distinct_points(sk2,sk2) | distinct_points(sk2,X0), inference(resolution, [status(thm)], [p165, p409])).
% 25.55/3.78 fof(sdef13, definition, (spl13 <=> (distinct_lines(line_connecting(sk0,sk1),line_connecting(X0,sk1)) | distinct_points(sk2,X0))), introduced(definition, [new_symbols(naming, [spl13])], [avatar_definition])).
% 25.55/3.78 cnf(ssp11, plain, (spl1 | spl13), inference(avatar_split_clause, [status(thm)], [p439, sdef1, sdef13])).
% 25.55/3.78 cnf(p89, plain, distinct_points(sk1,X0) | distinct_points(sk2,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p85, c3])).
% 25.55/3.78 cnf(p151, plain, distinct_points(sk1,X0) | distinct_points(X0,sk2), inference(resolution, [status(thm)], [p89, c0])).
% 25.55/3.78 cnf(p170, plain, distinct_points(sk1,X0) | ~apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(X1,sk2), inference(resolution, [status(thm)], [p151, c7])).
% 25.55/3.78 cnf(p472, plain, distinct_points(sk1,X0) | distinct_points(X1,sk2) | distinct_lines(line_connecting(sk0,sk1),line_connecting(X0,sk2)) | distinct_points(sk2,X1), inference(resolution, [status(thm)], [p170, p165])).
% 25.55/3.78 fof(sdef14, definition, (spl14 <=> (distinct_points(sk1,X0) | distinct_lines(line_connecting(sk0,sk1),line_connecting(X0,sk2)))), introduced(definition, [new_symbols(naming, [spl14])], [avatar_definition])).
% 25.55/3.78 cnf(ssp12, plain, (spl3 | spl14), inference(avatar_split_clause, [status(thm)], [p472, sdef3, sdef14])).
% 25.55/3.78 cnf(p164, plain, distinct_lines(line_connecting(sk0,sk1),X0) | apart_point_and_line(sk2,X0), inference(resolution, [status(thm)], [c12, c15])).
% 25.55/3.78 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)).
% 25.55/3.78 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])).
% 25.55/3.78 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])).
% 25.55/3.78 cnf(c4, plain, ~distinct_lines(X0,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(cnf_transformation, [status(esa)], [f4_sk])).
% 25.55/3.78 cnf(p172, plain, apart_point_and_line(sk2,X0) | distinct_lines(line_connecting(sk0,sk1),X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p164, c4])).
% 25.55/3.78 cnf(p479, plain, distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk2,sk0),X0) | distinct_points(sk2,sk2), inference(resolution, [status(thm)], [p172, p56])).
% 25.55/3.78 fof(sdef15, definition, (spl15 <=> (distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk2,sk0),X0))), introduced(definition, [new_symbols(naming, [spl15])], [avatar_definition])).
% 25.55/3.78 cnf(ssp13, plain, (spl1 | spl15), inference(avatar_split_clause, [status(thm)], [p479, sdef1, sdef15])).
% 25.55/3.78 cnf(p481, plain, distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk0,sk2),X0) | distinct_points(sk2,sk2), inference(resolution, [status(thm)], [p172, p83])).
% 25.55/3.78 fof(sdef16, definition, (spl16 <=> (distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk0,sk2),X0))), introduced(definition, [new_symbols(naming, [spl16])], [avatar_definition])).
% 25.55/3.78 cnf(ssp14, plain, (spl1 | spl16), inference(avatar_split_clause, [status(thm)], [p481, sdef1, sdef16])).
% 25.55/3.78 cnf(p483, plain, distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk2,sk1),X0) | distinct_points(sk2,sk2), inference(resolution, [status(thm)], [p172, p86])).
% 25.55/3.78 fof(sdef17, definition, (spl17 <=> (distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk2,sk1),X0))), introduced(definition, [new_symbols(naming, [spl17])], [avatar_definition])).
% 25.55/3.78 cnf(ssp15, plain, (spl1 | spl17), inference(avatar_split_clause, [status(thm)], [p483, sdef1, sdef17])).
% 25.55/3.78 cnf(p485, plain, distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk1,sk2),X0) | distinct_points(sk2,sk2), inference(resolution, [status(thm)], [p172, p93])).
% 25.55/3.78 fof(sdef18, definition, (spl18 <=> (distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk1,sk2),X0))), introduced(definition, [new_symbols(naming, [spl18])], [avatar_definition])).
% 25.55/3.78 cnf(ssp16, plain, (spl1 | spl18), inference(avatar_split_clause, [status(thm)], [p485, sdef1, sdef18])).
% 25.55/3.78 cnf(p488, plain, distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk2,X1),X0) | distinct_points(sk0,X1) | distinct_points(sk2,sk2), inference(resolution, [status(thm)], [p172, p59])).
% 25.55/3.78 fof(sdef19, definition, (spl19 <=> (distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk2,X1),X0) | distinct_points(sk0,X1))), introduced(definition, [new_symbols(naming, [spl19])], [avatar_definition])).
% 25.55/3.78 cnf(ssp17, plain, (spl1 | spl19), inference(avatar_split_clause, [status(thm)], [p488, sdef1, sdef19])).
% 25.55/3.78 cnf(p490, plain, distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk2,X1),X0) | distinct_points(sk1,X1) | distinct_points(sk2,sk2), inference(resolution, [status(thm)], [p172, p90])).
% 25.55/3.78 fof(sdef20, definition, (spl20 <=> (distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk2,X1),X0) | distinct_points(sk1,X1))), introduced(definition, [new_symbols(naming, [spl20])], [avatar_definition])).
% 25.55/3.78 cnf(ssp18, plain, (spl1 | spl20), inference(avatar_split_clause, [status(thm)], [p490, sdef1, sdef20])).
% 25.55/3.78 cnf(p493, plain, distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(X1,sk2),X0) | distinct_points(sk0,X1) | distinct_points(sk2,sk2), inference(resolution, [status(thm)], [p172, p129])).
% 25.55/3.78 fof(sdef21, definition, (spl21 <=> (distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(X1,sk2),X0) | distinct_points(sk0,X1))), introduced(definition, [new_symbols(naming, [spl21])], [avatar_definition])).
% 25.55/3.78 cnf(ssp19, plain, (spl1 | spl21), inference(avatar_split_clause, [status(thm)], [p493, sdef1, sdef21])).
% 25.55/3.78 cnf(p495, plain, distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk2,X1),X0) | distinct_points(X1,sk0) | distinct_points(sk2,sk2), inference(resolution, [status(thm)], [p172, p137])).
% 25.55/3.78 fof(sdef22, definition, (spl22 <=> (distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk2,X1),X0) | distinct_points(X1,sk0))), introduced(definition, [new_symbols(naming, [spl22])], [avatar_definition])).
% 25.55/3.78 cnf(ssp20, plain, (spl1 | spl22), inference(avatar_split_clause, [status(thm)], [p495, sdef1, sdef22])).
% 25.55/3.78 cnf(p499, plain, distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk2,X1),X0) | distinct_points(X1,sk1) | distinct_points(sk2,sk2), inference(resolution, [status(thm)], [p172, p145])).
% 25.55/3.78 fof(sdef23, definition, (spl23 <=> (distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk2,X1),X0) | distinct_points(X1,sk1))), introduced(definition, [new_symbols(naming, [spl23])], [avatar_definition])).
% 25.55/3.78 cnf(ssp21, plain, (spl1 | spl23), inference(avatar_split_clause, [status(thm)], [p499, sdef1, sdef23])).
% 25.55/3.78 cnf(p504, plain, distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(X1,sk2),X0) | distinct_points(sk1,X1) | distinct_points(sk2,sk2), inference(resolution, [status(thm)], [p172, p170])).
% 25.55/3.78 fof(sdef24, definition, (spl24 <=> (distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(X1,sk2),X0) | distinct_points(sk1,X1))), introduced(definition, [new_symbols(naming, [spl24])], [avatar_definition])).
% 25.55/3.78 cnf(ssp22, plain, (spl1 | spl24), inference(avatar_split_clause, [status(thm)], [p504, sdef1, sdef24])).
% 25.55/3.78 cnf(p125, plain, distinct_points(X0,sk2) | distinct_points(sk0,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p112, c3])).
% 25.55/3.78 cnf(p173, plain, distinct_points(X0,sk2) | distinct_points(X0,sk0), inference(resolution, [status(thm)], [p125, c0])).
% 25.55/3.78 cnf(p186, plain, distinct_points(X0,sk0) | ~apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(X1,sk2), inference(resolution, [status(thm)], [p173, c7])).
% 25.55/3.78 cnf(p520, plain, distinct_points(X0,sk0) | distinct_points(X1,sk2) | distinct_lines(line_connecting(sk0,sk1),line_connecting(X0,sk2)) | distinct_points(sk2,X1), inference(resolution, [status(thm)], [p186, p165])).
% 25.55/3.78 fof(sdef25, definition, (spl25 <=> (distinct_points(X0,sk0) | distinct_lines(line_connecting(sk0,sk1),line_connecting(X0,sk2)))), introduced(definition, [new_symbols(naming, [spl25])], [avatar_definition])).
% 25.55/3.78 cnf(ssp23, plain, (spl3 | spl25), inference(avatar_split_clause, [status(thm)], [p520, sdef3, sdef25])).
% 25.55/3.78 cnf(p522, plain, distinct_points(X0,sk0) | distinct_points(sk2,sk2) | distinct_lines(line_connecting(sk0,sk1),X1) | distinct_lines(line_connecting(X0,sk2),X1), inference(resolution, [status(thm)], [p186, p172])).
% 25.55/3.78 fof(sdef26, definition, (spl26 <=> (distinct_points(X0,sk0) | distinct_lines(line_connecting(sk0,sk1),X1) | distinct_lines(line_connecting(X0,sk2),X1))), introduced(definition, [new_symbols(naming, [spl26])], [avatar_definition])).
% 25.55/3.78 cnf(ssp24, plain, (spl1 | spl26), inference(avatar_split_clause, [status(thm)], [p522, sdef1, sdef26])).
% 25.55/3.78 cnf(p143, plain, distinct_points(X0,sk1) | distinct_points(sk2,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p133, c3])).
% 25.55/3.78 cnf(p221, plain, distinct_points(X0,sk1) | distinct_points(X0,sk2), inference(resolution, [status(thm)], [p143, c0])).
% 25.55/3.78 cnf(p233, plain, distinct_points(X0,sk1) | ~apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(X1,sk2), inference(resolution, [status(thm)], [p221, c7])).
% 25.55/3.78 cnf(p525, plain, distinct_points(X0,sk1) | distinct_points(X1,sk2) | distinct_lines(line_connecting(sk0,sk1),line_connecting(X0,sk2)) | distinct_points(sk2,X1), inference(resolution, [status(thm)], [p233, p165])).
% 25.55/3.78 fof(sdef27, definition, (spl27 <=> (distinct_points(X0,sk1) | distinct_lines(line_connecting(sk0,sk1),line_connecting(X0,sk2)))), introduced(definition, [new_symbols(naming, [spl27])], [avatar_definition])).
% 25.55/3.78 cnf(ssp25, plain, (spl3 | spl27), inference(avatar_split_clause, [status(thm)], [p525, sdef3, sdef27])).
% 25.55/3.78 cnf(p527, plain, distinct_points(X0,sk1) | distinct_points(sk2,sk2) | distinct_lines(line_connecting(sk0,sk1),X1) | distinct_lines(line_connecting(X0,sk2),X1), inference(resolution, [status(thm)], [p233, p172])).
% 25.55/3.78 fof(sdef28, definition, (spl28 <=> (distinct_points(X0,sk1) | distinct_lines(line_connecting(sk0,sk1),X1) | distinct_lines(line_connecting(X0,sk2),X1))), introduced(definition, [new_symbols(naming, [spl28])], [avatar_definition])).
% 25.55/3.78 cnf(ssp26, plain, (spl1 | spl28), inference(avatar_split_clause, [status(thm)], [p527, sdef1, sdef28])).
% 25.55/3.78 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)).
% 25.55/3.78 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])).
% 25.55/3.78 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])).
% 25.55/3.78 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])).
% 25.55/3.78 cnf(p94, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1), inference(resolution, [status(thm)], [c10, c14])).
% 25.55/3.78 cnf(p790, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk2,X0), inference(resolution, [status(thm)], [p94, p164])).
% 25.55/3.78 fof(sdef30, definition, (spl30 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk2,X0))), introduced(definition, [new_symbols(naming, [spl30])], [avatar_definition])).
% 25.55/3.78 cnf(ssp27, plain, (spl29 | spl30 | spl31), inference(avatar_split_clause, [status(thm)], [p790, sdef29, sdef30, sdef31])).
% 25.55/3.78 cnf(p794, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,X0) | distinct_points(sk2,X1), inference(resolution, [status(thm)], [p94, p165])).
% 25.55/3.78 fof(sdef32, definition, (spl32 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,X0) | distinct_points(sk2,X1))), introduced(definition, [new_symbols(naming, [spl32])], [avatar_definition])).
% 25.55/3.78 cnf(ssp28, plain, (spl29 | spl31 | spl32), inference(avatar_split_clause, [status(thm)], [p794, sdef29, sdef31, sdef32])).
% 25.55/3.78 cnf(p415, plain, (distinct_lines(line_connecting(sk0,sk1),line_connecting(sk2,sk0)) | ~spl2), inference(avatar_component_clause, [status(thm)], [sdef2])).
% 25.55/3.78 cnf(p796, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk2,sk0)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,sk0)) | ~spl2), inference(resolution, [status(thm)], [p94, p415])).
% 25.55/3.78 fof(sdef34, definition, (spl34 <=> (apart_point_and_line(sk1,line_connecting(sk2,sk0)))), introduced(definition, [new_symbols(naming, [spl34])], [avatar_definition])).
% 25.55/3.78 cnf(ssp29, plain, (~spl2 | spl29 | spl31 | spl33 | spl34), inference(avatar_split_clause, [status(thm)], [p796, sdef29, sdef31, sdef33, sdef34])).
% 25.55/3.78 cnf(p418, plain, (distinct_lines(line_connecting(sk0,sk1),line_connecting(sk0,sk2)) | ~spl4), inference(avatar_component_clause, [status(thm)], [sdef4])).
% 25.55/3.78 cnf(p799, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | ~spl4), inference(resolution, [status(thm)], [p94, p418])).
% 25.55/3.78 fof(sdef36, definition, (spl36 <=> (apart_point_and_line(sk1,line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl36])], [avatar_definition])).
% 25.55/3.78 cnf(ssp30, plain, (~spl4 | spl29 | spl31 | spl35 | spl36), inference(avatar_split_clause, [status(thm)], [p799, sdef29, sdef31, sdef35, sdef36])).
% 25.55/3.78 cnf(p420, plain, (distinct_lines(line_connecting(sk0,sk1),line_connecting(sk2,sk1)) | ~spl5), inference(avatar_component_clause, [status(thm)], [sdef5])).
% 25.55/3.78 cnf(p802, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk2,sk1)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,sk1)) | ~spl5), inference(resolution, [status(thm)], [p94, p420])).
% 25.55/3.78 fof(sdef37, definition, (spl37 <=> (apart_point_and_line(sk0,line_connecting(sk2,sk1)))), introduced(definition, [new_symbols(naming, [spl37])], [avatar_definition])).
% 25.55/3.78 cnf(ssp31, plain, (~spl5 | spl29 | spl31 | spl37 | spl38), inference(avatar_split_clause, [status(thm)], [p802, sdef29, sdef31, sdef37, sdef38])).
% 25.55/3.78 cnf(p422, plain, (distinct_lines(line_connecting(sk0,sk1),line_connecting(sk1,sk2)) | ~spl6), inference(avatar_component_clause, [status(thm)], [sdef6])).
% 25.55/3.78 cnf(p805, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk1,sk2)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk1,sk2)) | ~spl6), inference(resolution, [status(thm)], [p94, p422])).
% 25.55/3.78 fof(sdef39, definition, (spl39 <=> (apart_point_and_line(sk0,line_connecting(sk1,sk2)))), introduced(definition, [new_symbols(naming, [spl39])], [avatar_definition])).
% 25.55/3.78 cnf(ssp32, plain, (~spl6 | spl29 | spl31 | spl39 | spl40), inference(avatar_split_clause, [status(thm)], [p805, sdef29, sdef31, sdef39, sdef40])).
% 25.55/3.78 cnf(p425, plain, (distinct_lines(line_connecting(sk0,sk1),line_connecting(sk2,X0)) | distinct_points(sk0,X0) | ~spl7), inference(avatar_component_clause, [status(thm)], [sdef7])).
% 25.55/3.78 cnf(p808, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk2,X0)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,X0)) | distinct_points(sk0,X0) | ~spl7), inference(resolution, [status(thm)], [p94, p425])).
% 25.55/3.78 fof(sdef41, definition, (spl41 <=> (apart_point_and_line(sk0,line_connecting(sk2,X0)) | apart_point_and_line(sk1,line_connecting(sk2,X0)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl41])], [avatar_definition])).
% 25.55/3.78 cnf(ssp33, plain, (~spl7 | spl29 | spl31 | spl41), inference(avatar_split_clause, [status(thm)], [p808, sdef29, sdef31, sdef41])).
% 25.55/3.78 cnf(p427, plain, (distinct_lines(line_connecting(sk0,sk1),line_connecting(sk2,X0)) | distinct_points(sk1,X0) | ~spl8), inference(avatar_component_clause, [status(thm)], [sdef8])).
% 25.55/3.78 cnf(p810, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk2,X0)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,X0)) | distinct_points(sk1,X0) | ~spl8), inference(resolution, [status(thm)], [p94, p427])).
% 25.55/3.78 fof(sdef42, definition, (spl42 <=> (apart_point_and_line(sk0,line_connecting(sk2,X0)) | apart_point_and_line(sk1,line_connecting(sk2,X0)) | distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl42])], [avatar_definition])).
% 25.55/3.78 cnf(ssp34, plain, (~spl8 | spl29 | spl31 | spl42), inference(avatar_split_clause, [status(thm)], [p810, sdef29, sdef31, sdef42])).
% 25.55/3.78 cnf(p430, plain, (distinct_lines(line_connecting(sk0,sk1),line_connecting(X0,sk2)) | distinct_points(sk0,X0) | ~spl9), inference(avatar_component_clause, [status(thm)], [sdef9])).
% 25.55/3.78 cnf(p812, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(X0,sk2)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(X0,sk2)) | distinct_points(sk0,X0) | ~spl9), inference(resolution, [status(thm)], [p94, p430])).
% 25.55/3.78 fof(sdef43, definition, (spl43 <=> (apart_point_and_line(sk0,line_connecting(X0,sk2)) | apart_point_and_line(sk1,line_connecting(X0,sk2)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl43])], [avatar_definition])).
% 25.55/3.78 cnf(ssp35, plain, (~spl9 | spl29 | spl31 | spl43), inference(avatar_split_clause, [status(thm)], [p812, sdef29, sdef31, sdef43])).
% 25.55/3.78 cnf(p432, plain, (distinct_lines(line_connecting(sk0,sk1),line_connecting(sk2,X0)) | distinct_points(X0,sk0) | ~spl10), inference(avatar_component_clause, [status(thm)], [sdef10])).
% 25.55/3.78 cnf(p814, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk2,X0)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,X0)) | distinct_points(X0,sk0) | ~spl10), inference(resolution, [status(thm)], [p94, p432])).
% 25.55/3.78 fof(sdef44, definition, (spl44 <=> (apart_point_and_line(sk0,line_connecting(sk2,X0)) | apart_point_and_line(sk1,line_connecting(sk2,X0)) | distinct_points(X0,sk0))), introduced(definition, [new_symbols(naming, [spl44])], [avatar_definition])).
% 25.55/3.78 cnf(ssp36, plain, (~spl10 | spl29 | spl31 | spl44), inference(avatar_split_clause, [status(thm)], [p814, sdef29, sdef31, sdef44])).
% 25.55/3.78 cnf(p435, plain, (distinct_lines(line_connecting(sk0,sk1),line_connecting(X0,sk0)) | distinct_points(sk2,X0) | ~spl11), inference(avatar_component_clause, [status(thm)], [sdef11])).
% 25.55/3.78 cnf(p816, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(X0,sk0)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(X0,sk0)) | distinct_points(sk2,X0) | ~spl11), inference(resolution, [status(thm)], [p94, p435])).
% 25.55/3.78 fof(sdef45, definition, (spl45 <=> (apart_point_and_line(sk0,line_connecting(X0,sk0)) | apart_point_and_line(sk1,line_connecting(X0,sk0)) | distinct_points(sk2,X0))), introduced(definition, [new_symbols(naming, [spl45])], [avatar_definition])).
% 25.55/3.78 cnf(ssp37, plain, (~spl11 | spl29 | spl31 | spl45), inference(avatar_split_clause, [status(thm)], [p816, sdef29, sdef31, sdef45])).
% 25.55/3.78 cnf(p437, plain, (distinct_lines(line_connecting(sk0,sk1),line_connecting(sk2,X0)) | distinct_points(X0,sk1) | ~spl12), inference(avatar_component_clause, [status(thm)], [sdef12])).
% 25.55/3.78 cnf(p818, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk2,X0)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,X0)) | distinct_points(X0,sk1) | ~spl12), inference(resolution, [status(thm)], [p94, p437])).
% 25.55/3.78 fof(sdef46, definition, (spl46 <=> (apart_point_and_line(sk0,line_connecting(sk2,X0)) | apart_point_and_line(sk1,line_connecting(sk2,X0)) | distinct_points(X0,sk1))), introduced(definition, [new_symbols(naming, [spl46])], [avatar_definition])).
% 25.55/3.78 cnf(ssp38, plain, (~spl12 | spl29 | spl31 | spl46), inference(avatar_split_clause, [status(thm)], [p818, sdef29, sdef31, sdef46])).
% 25.55/3.78 cnf(p440, plain, (distinct_lines(line_connecting(sk0,sk1),line_connecting(X0,sk1)) | distinct_points(sk2,X0) | ~spl13), inference(avatar_component_clause, [status(thm)], [sdef13])).
% 25.55/3.78 cnf(p820, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(X0,sk1)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(X0,sk1)) | distinct_points(sk2,X0) | ~spl13), inference(resolution, [status(thm)], [p94, p440])).
% 25.55/3.78 fof(sdef47, definition, (spl47 <=> (apart_point_and_line(sk0,line_connecting(X0,sk1)) | apart_point_and_line(sk1,line_connecting(X0,sk1)) | distinct_points(sk2,X0))), introduced(definition, [new_symbols(naming, [spl47])], [avatar_definition])).
% 25.55/3.78 cnf(ssp39, plain, (~spl13 | spl29 | spl31 | spl47), inference(avatar_split_clause, [status(thm)], [p820, sdef29, sdef31, sdef47])).
% 25.55/3.78 cnf(p443, plain, (distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk2,sk0),X0) | ~spl2), inference(resolution, [status(thm)], [p415, c4])).
% 25.55/3.78 cnf(p822, plain, (apart_point_and_line(sk0,line_connecting(sk2,sk0)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk2,sk0)) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl2), inference(resolution, [status(thm)], [p94, p443])).
% 25.55/3.78 fof(sdef48, definition, (spl48 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl48])], [avatar_definition])).
% 25.55/3.78 cnf(ssp40, plain, (~spl2 | spl33 | spl34 | spl48), inference(avatar_split_clause, [status(thm)], [p822, sdef33, sdef34, sdef48])).
% 25.55/3.78 cnf(p454, plain, (distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk0,sk2),X0) | ~spl4), inference(resolution, [status(thm)], [p418, c4])).
% 25.55/3.78 cnf(p824, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl4), inference(resolution, [status(thm)], [p94, p454])).
% 25.55/3.78 cnf(ssp41, plain, (~spl4 | spl35 | spl36 | spl48), inference(avatar_split_clause, [status(thm)], [p824, sdef35, sdef36, sdef48])).
% 25.55/3.78 cnf(p455, plain, (distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk2,sk1),X0) | ~spl5), inference(resolution, [status(thm)], [p420, c4])).
% 25.55/3.78 cnf(p825, plain, (apart_point_and_line(sk0,line_connecting(sk2,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk2,sk1)) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl5), inference(resolution, [status(thm)], [p94, p455])).
% 25.55/3.78 cnf(ssp42, plain, (~spl5 | spl37 | spl38 | spl48), inference(avatar_split_clause, [status(thm)], [p825, sdef37, sdef38, sdef48])).
% 25.55/3.78 cnf(p456, plain, (distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk1,sk2),X0) | ~spl6), inference(resolution, [status(thm)], [p422, c4])).
% 25.55/3.78 cnf(p826, plain, (apart_point_and_line(sk0,line_connecting(sk1,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk1,sk2)) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl6), inference(resolution, [status(thm)], [p94, p456])).
% 25.55/3.78 cnf(ssp43, plain, (~spl6 | spl39 | spl40 | spl48), inference(avatar_split_clause, [status(thm)], [p826, sdef39, sdef40, sdef48])).
% 25.55/3.78 cnf(p473, plain, (distinct_points(sk1,X0) | distinct_lines(line_connecting(sk0,sk1),line_connecting(X0,sk2)) | ~spl14), inference(avatar_component_clause, [status(thm)], [sdef14])).
% 25.55/3.78 cnf(p827, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(X0,sk2)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(X0,sk2)) | distinct_points(sk1,X0) | ~spl14), inference(resolution, [status(thm)], [p94, p473])).
% 25.55/3.78 fof(sdef49, definition, (spl49 <=> (apart_point_and_line(sk0,line_connecting(X0,sk2)) | apart_point_and_line(sk1,line_connecting(X0,sk2)) | distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl49])], [avatar_definition])).
% 25.55/3.78 cnf(ssp44, plain, (~spl14 | spl29 | spl31 | spl49), inference(avatar_split_clause, [status(thm)], [p827, sdef29, sdef31, sdef49])).
% 25.55/3.78 cnf(p829, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk2,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p94, p172])).
% 25.55/3.78 fof(sdef50, definition, (spl50 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk2,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl50])], [avatar_definition])).
% 25.55/3.78 cnf(ssp45, plain, (spl29 | spl31 | spl50), inference(avatar_split_clause, [status(thm)], [p829, sdef29, sdef31, sdef50])).
% 25.55/3.78 cnf(p831, plain, apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | apart_point_and_line(sk2,X0) | distinct_lines(line_connecting(sk0,sk1),X1), inference(resolution, [status(thm)], [p94, p172])).
% 25.55/3.78 cnf(ssp46, plain, (spl30 | spl48), inference(avatar_split_clause, [status(thm)], [p831, sdef30, sdef48])).
% 25.55/3.78 cnf(p475, plain, distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk1,sk0),X0), inference(resolution, [status(thm)], [p172, c16])).
% 25.55/3.78 cnf(p832, plain, apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk1),X0), inference(resolution, [status(thm)], [p94, p475])).
% 25.55/3.78 cnf(ssp47, plain, (spl48 | spl51 | spl52), inference(avatar_split_clause, [status(thm)], [p832, sdef48, sdef51, sdef52])).
% 25.55/3.78 fof(f1, axiom, ! [X] : ~ distinct_lines(X,X), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart2)).
% 25.55/3.78 fof(f1_nnf, plain, ! [X] : (~(distinct_lines(X,X))), inference(nnf_transformation, [status(thm)], [f1])).
% 25.55/3.78 fof(f1_sk, plain, ! [X] : (~(distinct_lines(X,X))), inference(skolemisation, [status(esa)], [f1_nnf])).
% 25.55/3.78 cnf(c1, plain, ~distinct_lines(X0,X0), inference(cnf_transformation, [status(esa)], [f1_sk])).
% 25.55/3.78 cnf(p506, plain, distinct_lines(line_connecting(sk0,sk1),line_connecting(sk1,sk0)), inference(resolution, [status(thm)], [p475, c1])).
% 25.55/3.78 cnf(p835, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk1,sk0)), inference(resolution, [status(thm)], [p94, p506])).
% 25.55/3.78 cnf(ssp48, plain, (spl29 | spl31 | spl51 | spl52), inference(avatar_split_clause, [status(thm)], [p835, sdef29, sdef31, sdef51, sdef52])).
% 25.55/3.78 cnf(p480, plain, (distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk2,sk0),X0) | ~spl15), inference(avatar_component_clause, [status(thm)], [sdef15])).
% 25.55/3.78 cnf(p836, plain, (apart_point_and_line(sk0,line_connecting(sk2,sk0)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk2,sk0)) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl15), inference(resolution, [status(thm)], [p94, p480])).
% 25.55/3.78 cnf(ssp49, plain, (~spl15 | spl33 | spl34 | spl48), inference(avatar_split_clause, [status(thm)], [p836, sdef33, sdef34, sdef48])).
% 25.55/3.78 cnf(p510, plain, (distinct_lines(line_connecting(sk0,sk1),line_connecting(sk2,sk0)) | ~spl15), inference(resolution, [status(thm)], [p480, c1])).
% 25.55/3.78 cnf(p837, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk2,sk0)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,sk0)) | ~spl15), inference(resolution, [status(thm)], [p94, p510])).
% 25.55/3.78 cnf(ssp50, plain, (~spl15 | spl29 | spl31 | spl33 | spl34), inference(avatar_split_clause, [status(thm)], [p837, sdef29, sdef31, sdef33, sdef34])).
% 25.55/3.78 cnf(p482, plain, (distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk0,sk2),X0) | ~spl16), inference(avatar_component_clause, [status(thm)], [sdef16])).
% 25.55/3.78 cnf(p838, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl16), inference(resolution, [status(thm)], [p94, p482])).
% 25.55/3.78 cnf(ssp51, plain, (~spl16 | spl35 | spl36 | spl48), inference(avatar_split_clause, [status(thm)], [p838, sdef35, sdef36, sdef48])).
% 25.55/3.78 cnf(p512, plain, (distinct_lines(line_connecting(sk0,sk1),line_connecting(sk0,sk2)) | ~spl16), inference(resolution, [status(thm)], [p482, c1])).
% 25.55/3.78 cnf(p839, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | ~spl16), inference(resolution, [status(thm)], [p94, p512])).
% 25.55/3.78 cnf(ssp52, plain, (~spl16 | spl29 | spl31 | spl35 | spl36), inference(avatar_split_clause, [status(thm)], [p839, sdef29, sdef31, sdef35, sdef36])).
% 25.55/3.78 cnf(p484, plain, (distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk2,sk1),X0) | ~spl17), inference(avatar_component_clause, [status(thm)], [sdef17])).
% 25.55/3.78 cnf(p840, plain, (apart_point_and_line(sk0,line_connecting(sk2,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk2,sk1)) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl17), inference(resolution, [status(thm)], [p94, p484])).
% 25.55/3.78 cnf(ssp53, plain, (~spl17 | spl37 | spl38 | spl48), inference(avatar_split_clause, [status(thm)], [p840, sdef37, sdef38, sdef48])).
% 25.55/3.78 cnf(p515, plain, (distinct_lines(line_connecting(sk0,sk1),line_connecting(sk2,sk1)) | ~spl17), inference(resolution, [status(thm)], [p484, c1])).
% 25.55/3.78 cnf(p841, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk2,sk1)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,sk1)) | ~spl17), inference(resolution, [status(thm)], [p94, p515])).
% 25.55/3.78 cnf(ssp54, plain, (~spl17 | spl29 | spl31 | spl37 | spl38), inference(avatar_split_clause, [status(thm)], [p841, sdef29, sdef31, sdef37, sdef38])).
% 25.55/3.79 cnf(p486, plain, (distinct_lines(line_connecting(sk0,sk1),X0) | distinct_lines(line_connecting(sk1,sk2),X0) | ~spl18), inference(avatar_component_clause, [status(thm)], [sdef18])).
% 25.55/3.79 cnf(p842, plain, (apart_point_and_line(sk0,line_connecting(sk1,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk1,sk2)) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl18), inference(resolution, [status(thm)], [p94, p486])).
% 25.55/3.79 cnf(ssp55, plain, (~spl18 | spl39 | spl40 | spl48), inference(avatar_split_clause, [status(thm)], [p842, sdef39, sdef40, sdef48])).
% 25.55/3.79 cnf(p517, plain, (distinct_lines(line_connecting(sk0,sk1),line_connecting(sk1,sk2)) | ~spl18), inference(resolution, [status(thm)], [p486, c1])).
% 25.55/3.79 cnf(p843, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk1,sk2)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk1,sk2)) | ~spl18), inference(resolution, [status(thm)], [p94, p517])).
% 25.55/3.79 cnf(ssp56, plain, (~spl18 | spl29 | spl31 | spl39 | spl40), inference(avatar_split_clause, [status(thm)], [p843, sdef29, sdef31, sdef39, sdef40])).
% 25.55/3.79 cnf(p521, plain, (distinct_points(X0,sk0) | distinct_lines(line_connecting(sk0,sk1),line_connecting(X0,sk2)) | ~spl25), inference(avatar_component_clause, [status(thm)], [sdef25])).
% 25.55/3.79 cnf(p844, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(X0,sk2)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(X0,sk2)) | distinct_points(X0,sk0) | ~spl25), inference(resolution, [status(thm)], [p94, p521])).
% 25.55/3.79 fof(sdef53, definition, (spl53 <=> (apart_point_and_line(sk0,line_connecting(X0,sk2)) | apart_point_and_line(sk1,line_connecting(X0,sk2)) | distinct_points(X0,sk0))), introduced(definition, [new_symbols(naming, [spl53])], [avatar_definition])).
% 25.55/3.79 cnf(ssp57, plain, (~spl25 | spl29 | spl31 | spl53), inference(avatar_split_clause, [status(thm)], [p844, sdef29, sdef31, sdef53])).
% 25.55/3.79 cnf(p526, plain, (distinct_points(X0,sk1) | distinct_lines(line_connecting(sk0,sk1),line_connecting(X0,sk2)) | ~spl27), inference(avatar_component_clause, [status(thm)], [sdef27])).
% 25.55/3.79 cnf(p846, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(X0,sk2)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(X0,sk2)) | distinct_points(X0,sk1) | ~spl27), inference(resolution, [status(thm)], [p94, p526])).
% 25.55/3.79 fof(sdef54, definition, (spl54 <=> (apart_point_and_line(sk0,line_connecting(X0,sk2)) | apart_point_and_line(sk1,line_connecting(X0,sk2)) | distinct_points(X0,sk1))), introduced(definition, [new_symbols(naming, [spl54])], [avatar_definition])).
% 25.55/3.79 cnf(ssp58, plain, (~spl27 | spl29 | spl31 | spl54), inference(avatar_split_clause, [status(thm)], [p846, sdef29, sdef31, sdef54])).
% 25.55/3.79 cnf(p95, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(sk0,X2), inference(resolution, [status(thm)], [c10, p17])).
% 25.55/3.79 cnf(p856, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | apart_point_and_line(sk2,X0), inference(resolution, [status(thm)], [p95, p164])).
% 25.55/3.79 fof(sdef55, definition, (spl55 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | apart_point_and_line(sk2,X0))), introduced(definition, [new_symbols(naming, [spl55])], [avatar_definition])).
% 25.55/3.79 cnf(ssp59, plain, (spl31 | spl55), inference(avatar_split_clause, [status(thm)], [p856, sdef31, sdef55])).
% 25.55/3.79 cnf(p858, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | apart_point_and_line(X2,X0) | distinct_points(sk2,X2), inference(resolution, [status(thm)], [p95, p165])).
% 25.55/3.79 fof(sdef56, definition, (spl56 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | apart_point_and_line(X2,X0) | distinct_points(sk2,X2))), introduced(definition, [new_symbols(naming, [spl56])], [avatar_definition])).
% 25.55/3.79 cnf(ssp60, plain, (spl31 | spl56), inference(avatar_split_clause, [status(thm)], [p858, sdef31, sdef56])).
% 25.55/3.79 cnf(p860, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,sk0)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk0,X0) | ~spl2), inference(resolution, [status(thm)], [p95, p415])).
% 25.55/3.79 fof(sdef57, definition, (spl57 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl57])], [avatar_definition])).
% 25.55/3.79 cnf(ssp61, plain, (~spl2 | spl31 | spl34 | spl57), inference(avatar_split_clause, [status(thm)], [p860, sdef31, sdef34, sdef57])).
% 25.55/3.79 cnf(p862, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk0,X0) | ~spl4), inference(resolution, [status(thm)], [p95, p418])).
% 25.55/3.79 fof(sdef58, definition, (spl58 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl58])], [avatar_definition])).
% 25.55/3.79 cnf(ssp62, plain, (~spl4 | spl31 | spl36 | spl58), inference(avatar_split_clause, [status(thm)], [p862, sdef31, sdef36, sdef58])).
% 25.55/3.79 cnf(p864, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk1)) | distinct_points(sk0,X0) | ~spl5), inference(resolution, [status(thm)], [p95, p420])).
% 25.55/3.79 fof(sdef59, definition, (spl59 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk1)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl59])], [avatar_definition])).
% 25.55/3.79 cnf(ssp63, plain, (~spl5 | spl31 | spl38 | spl59), inference(avatar_split_clause, [status(thm)], [p864, sdef31, sdef38, sdef59])).
% 25.55/3.79 cnf(p866, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk1,sk2)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk1,sk2)) | distinct_points(sk0,X0) | ~spl6), inference(resolution, [status(thm)], [p95, p422])).
% 25.55/3.79 fof(sdef60, definition, (spl60 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk1,sk2)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl60])], [avatar_definition])).
% 25.55/3.79 cnf(ssp64, plain, (~spl6 | spl31 | spl40 | spl60), inference(avatar_split_clause, [status(thm)], [p866, sdef31, sdef40, sdef60])).
% 25.55/3.79 cnf(p868, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk0,X1) | distinct_points(sk0,X0) | ~spl7), inference(resolution, [status(thm)], [p95, p425])).
% 25.55/3.79 fof(sdef61, definition, (spl61 <=> (apart_point_and_line(sk1,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk0,X1) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl61])], [avatar_definition])).
% 25.55/3.79 cnf(ssp65, plain, (~spl7 | spl31 | spl61), inference(avatar_split_clause, [status(thm)], [p868, sdef31, sdef61])).
% 25.55/3.79 cnf(p870, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk0,X1) | distinct_points(sk1,X0) | ~spl8), inference(resolution, [status(thm)], [p95, p427])).
% 25.55/3.79 fof(sdef62, definition, (spl62 <=> (apart_point_and_line(sk1,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk0,X1) | distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl62])], [avatar_definition])).
% 25.55/3.79 cnf(ssp66, plain, (~spl8 | spl31 | spl62), inference(avatar_split_clause, [status(thm)], [p870, sdef31, sdef62])).
% 25.55/3.79 cnf(p872, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk0,X1) | distinct_points(sk0,X0) | ~spl9), inference(resolution, [status(thm)], [p95, p430])).
% 25.55/3.79 fof(sdef63, definition, (spl63 <=> (apart_point_and_line(sk1,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk0,X1) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl63])], [avatar_definition])).
% 25.55/3.79 cnf(ssp67, plain, (~spl9 | spl31 | spl63), inference(avatar_split_clause, [status(thm)], [p872, sdef31, sdef63])).
% 25.55/3.79 cnf(p874, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk0,X1) | distinct_points(X0,sk0) | ~spl10), inference(resolution, [status(thm)], [p95, p432])).
% 25.55/3.79 fof(sdef64, definition, (spl64 <=> (apart_point_and_line(sk1,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk0,X1) | distinct_points(X0,sk0))), introduced(definition, [new_symbols(naming, [spl64])], [avatar_definition])).
% 25.55/3.79 cnf(ssp68, plain, (~spl10 | spl31 | spl64), inference(avatar_split_clause, [status(thm)], [p874, sdef31, sdef64])).
% 25.55/3.79 cnf(p876, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(X0,sk0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk0)) | distinct_points(sk0,X1) | distinct_points(sk2,X0) | ~spl11), inference(resolution, [status(thm)], [p95, p435])).
% 25.55/3.79 fof(sdef65, definition, (spl65 <=> (apart_point_and_line(sk1,line_connecting(X0,sk0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk0)) | distinct_points(sk0,X1) | distinct_points(sk2,X0))), introduced(definition, [new_symbols(naming, [spl65])], [avatar_definition])).
% 25.55/3.79 cnf(ssp69, plain, (~spl11 | spl31 | spl65), inference(avatar_split_clause, [status(thm)], [p876, sdef31, sdef65])).
% 25.55/3.79 cnf(p878, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk0,X1) | distinct_points(X0,sk1) | ~spl12), inference(resolution, [status(thm)], [p95, p437])).
% 25.55/3.79 fof(sdef66, definition, (spl66 <=> (apart_point_and_line(sk1,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk0,X1) | distinct_points(X0,sk1))), introduced(definition, [new_symbols(naming, [spl66])], [avatar_definition])).
% 25.55/3.79 cnf(ssp70, plain, (~spl12 | spl31 | spl66), inference(avatar_split_clause, [status(thm)], [p878, sdef31, sdef66])).
% 25.55/3.79 cnf(p880, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(X0,sk1)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk1)) | distinct_points(sk0,X1) | distinct_points(sk2,X0) | ~spl13), inference(resolution, [status(thm)], [p95, p440])).
% 25.55/3.79 fof(sdef67, definition, (spl67 <=> (apart_point_and_line(sk1,line_connecting(X0,sk1)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk1)) | distinct_points(sk0,X1) | distinct_points(sk2,X0))), introduced(definition, [new_symbols(naming, [spl67])], [avatar_definition])).
% 25.55/3.79 cnf(ssp71, plain, (~spl13 | spl31 | spl67), inference(avatar_split_clause, [status(thm)], [p880, sdef31, sdef67])).
% 25.55/3.79 cnf(p882, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk0)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl2), inference(resolution, [status(thm)], [p95, p443])).
% 25.55/3.79 fof(sdef68, definition, (spl68 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl68])], [avatar_definition])).
% 25.55/3.79 cnf(ssp72, plain, (~spl2 | spl34 | spl68), inference(avatar_split_clause, [status(thm)], [p882, sdef34, sdef68])).
% 25.55/3.79 cnf(p884, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl4), inference(resolution, [status(thm)], [p95, p454])).
% 25.55/3.79 fof(sdef69, definition, (spl69 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl69])], [avatar_definition])).
% 25.55/3.79 cnf(ssp73, plain, (~spl4 | spl36 | spl69), inference(avatar_split_clause, [status(thm)], [p884, sdef36, sdef69])).
% 25.55/3.79 cnf(p886, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl5), inference(resolution, [status(thm)], [p95, p455])).
% 25.55/3.79 fof(sdef70, definition, (spl70 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl70])], [avatar_definition])).
% 25.55/3.79 cnf(ssp74, plain, (~spl5 | spl38 | spl70), inference(avatar_split_clause, [status(thm)], [p886, sdef38, sdef70])).
% 25.55/3.79 cnf(p888, plain, (apart_point_and_line(sk1,line_connecting(sk1,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk1,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl6), inference(resolution, [status(thm)], [p95, p456])).
% 25.55/3.79 fof(sdef71, definition, (spl71 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk1,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl71])], [avatar_definition])).
% 25.55/3.79 cnf(ssp75, plain, (~spl6 | spl40 | spl71), inference(avatar_split_clause, [status(thm)], [p888, sdef40, sdef71])).
% 25.55/3.79 cnf(p890, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk0,X1) | distinct_points(sk1,X0) | ~spl14), inference(resolution, [status(thm)], [p95, p473])).
% 25.55/3.79 fof(sdef72, definition, (spl72 <=> (apart_point_and_line(sk1,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk0,X1) | distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl72])], [avatar_definition])).
% 25.55/3.79 cnf(ssp76, plain, (~spl14 | spl31 | spl72), inference(avatar_split_clause, [status(thm)], [p890, sdef31, sdef72])).
% 25.55/3.79 cnf(p892, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | apart_point_and_line(sk2,X2) | distinct_lines(X2,X0), inference(resolution, [status(thm)], [p95, p172])).
% 25.55/3.79 fof(sdef73, definition, (spl73 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | apart_point_and_line(sk2,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl73])], [avatar_definition])).
% 25.55/3.79 cnf(ssp77, plain, (spl31 | spl73), inference(avatar_split_clause, [status(thm)], [p892, sdef31, sdef73])).
% 25.55/3.79 cnf(p895, plain, apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X0), inference(resolution, [status(thm)], [p95, p475])).
% 25.55/3.79 fof(sdef74, definition, (spl74 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl74])], [avatar_definition])).
% 25.55/3.79 cnf(ssp78, plain, (spl52 | spl74), inference(avatar_split_clause, [status(thm)], [p895, sdef52, sdef74])).
% 25.55/3.79 cnf(p897, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(sk0,X0), inference(resolution, [status(thm)], [p95, p506])).
% 25.55/3.79 fof(sdef75, definition, (spl75 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl75])], [avatar_definition])).
% 25.55/3.79 cnf(ssp79, plain, (spl31 | spl52 | spl75), inference(avatar_split_clause, [status(thm)], [p897, sdef31, sdef52, sdef75])).
% 25.55/3.79 cnf(p899, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk0)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl15), inference(resolution, [status(thm)], [p95, p480])).
% 25.55/3.79 cnf(ssp80, plain, (~spl15 | spl34 | spl68), inference(avatar_split_clause, [status(thm)], [p899, sdef34, sdef68])).
% 25.55/3.79 cnf(p900, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,sk0)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk0,X0) | ~spl15), inference(resolution, [status(thm)], [p95, p510])).
% 25.55/3.79 cnf(ssp81, plain, (~spl15 | spl31 | spl34 | spl57), inference(avatar_split_clause, [status(thm)], [p900, sdef31, sdef34, sdef57])).
% 25.55/3.79 cnf(p901, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl16), inference(resolution, [status(thm)], [p95, p482])).
% 25.55/3.79 cnf(ssp82, plain, (~spl16 | spl36 | spl69), inference(avatar_split_clause, [status(thm)], [p901, sdef36, sdef69])).
% 25.55/3.79 cnf(p902, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk0,X0) | ~spl16), inference(resolution, [status(thm)], [p95, p512])).
% 25.55/3.79 cnf(ssp83, plain, (~spl16 | spl31 | spl36 | spl58), inference(avatar_split_clause, [status(thm)], [p902, sdef31, sdef36, sdef58])).
% 25.55/3.79 cnf(p903, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl17), inference(resolution, [status(thm)], [p95, p484])).
% 25.55/3.79 cnf(ssp84, plain, (~spl17 | spl38 | spl70), inference(avatar_split_clause, [status(thm)], [p903, sdef38, sdef70])).
% 25.55/3.79 cnf(p904, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk1)) | distinct_points(sk0,X0) | ~spl17), inference(resolution, [status(thm)], [p95, p515])).
% 25.55/3.79 cnf(ssp85, plain, (~spl17 | spl31 | spl38 | spl59), inference(avatar_split_clause, [status(thm)], [p904, sdef31, sdef38, sdef59])).
% 25.55/3.79 cnf(p905, plain, (apart_point_and_line(sk1,line_connecting(sk1,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk1,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl18), inference(resolution, [status(thm)], [p95, p486])).
% 25.55/3.79 cnf(ssp86, plain, (~spl18 | spl40 | spl71), inference(avatar_split_clause, [status(thm)], [p905, sdef40, sdef71])).
% 25.55/3.79 cnf(p906, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk1,sk2)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk1,sk2)) | distinct_points(sk0,X0) | ~spl18), inference(resolution, [status(thm)], [p95, p517])).
% 25.55/3.79 cnf(ssp87, plain, (~spl18 | spl31 | spl40 | spl60), inference(avatar_split_clause, [status(thm)], [p906, sdef31, sdef40, sdef60])).
% 25.55/3.79 cnf(p907, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk0,X1) | distinct_points(X0,sk0) | ~spl25), inference(resolution, [status(thm)], [p95, p521])).
% 25.55/3.79 fof(sdef76, definition, (spl76 <=> (apart_point_and_line(sk1,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk0,X1) | distinct_points(X0,sk0))), introduced(definition, [new_symbols(naming, [spl76])], [avatar_definition])).
% 25.55/3.79 cnf(ssp88, plain, (~spl25 | spl31 | spl76), inference(avatar_split_clause, [status(thm)], [p907, sdef31, sdef76])).
% 25.55/3.79 cnf(p909, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk0,X1) | distinct_points(X0,sk1) | ~spl27), inference(resolution, [status(thm)], [p95, p526])).
% 25.55/3.79 fof(sdef77, definition, (spl77 <=> (apart_point_and_line(sk1,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk0,X1) | distinct_points(X0,sk1))), introduced(definition, [new_symbols(naming, [spl77])], [avatar_definition])).
% 25.55/3.79 cnf(ssp89, plain, (~spl27 | spl31 | spl77), inference(avatar_split_clause, [status(thm)], [p909, sdef31, sdef77])).
% 25.55/3.79 cnf(p96, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(sk1,X3) | distinct_points(X2,X3), inference(resolution, [status(thm)], [c10, p18])).
% 25.55/3.79 cnf(p920, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | apart_point_and_line(sk2,X0), inference(resolution, [status(thm)], [p96, p164])).
% 25.55/3.79 fof(sdef78, definition, (spl78 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | apart_point_and_line(sk2,X0))), introduced(definition, [new_symbols(naming, [spl78])], [avatar_definition])).
% 25.55/3.79 cnf(ssp90, plain, (spl29 | spl78), inference(avatar_split_clause, [status(thm)], [p920, sdef29, sdef78])).
% 25.55/3.79 cnf(p922, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | apart_point_and_line(X3,X0) | distinct_points(sk2,X3), inference(resolution, [status(thm)], [p96, p165])).
% 25.55/3.79 fof(sdef79, definition, (spl79 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | apart_point_and_line(X3,X0) | distinct_points(sk2,X3))), introduced(definition, [new_symbols(naming, [spl79])], [avatar_definition])).
% 25.55/3.79 cnf(ssp91, plain, (spl29 | spl79), inference(avatar_split_clause, [status(thm)], [p922, sdef29, sdef79])).
% 25.55/3.79 cnf(p924, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk2,sk0)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk1,X1) | distinct_points(X0,X1) | ~spl2), inference(resolution, [status(thm)], [p96, p415])).
% 25.55/3.79 fof(sdef80, definition, (spl80 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk1,X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl80])], [avatar_definition])).
% 25.55/3.79 cnf(ssp92, plain, (~spl2 | spl29 | spl33 | spl80), inference(avatar_split_clause, [status(thm)], [p924, sdef29, sdef33, sdef80])).
% 25.55/3.79 cnf(p926, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk1,X1) | distinct_points(X0,X1) | ~spl4), inference(resolution, [status(thm)], [p96, p418])).
% 25.55/3.79 fof(sdef81, definition, (spl81 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk1,X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl81])], [avatar_definition])).
% 25.55/3.79 cnf(ssp93, plain, (~spl4 | spl29 | spl35 | spl81), inference(avatar_split_clause, [status(thm)], [p926, sdef29, sdef35, sdef81])).
% 25.55/3.79 cnf(p928, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk2,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk1)) | distinct_points(sk1,X1) | distinct_points(X0,X1) | ~spl5), inference(resolution, [status(thm)], [p96, p420])).
% 25.55/3.79 fof(sdef82, definition, (spl82 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk1)) | distinct_points(sk1,X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl82])], [avatar_definition])).
% 25.55/3.79 cnf(ssp94, plain, (~spl5 | spl29 | spl37 | spl82), inference(avatar_split_clause, [status(thm)], [p928, sdef29, sdef37, sdef82])).
% 25.55/3.79 cnf(p930, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk1,sk2)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk1,sk2)) | distinct_points(sk1,X1) | distinct_points(X0,X1) | ~spl6), inference(resolution, [status(thm)], [p96, p422])).
% 25.55/3.79 fof(sdef83, definition, (spl83 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk1,sk2)) | distinct_points(sk1,X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl83])], [avatar_definition])).
% 25.55/3.79 cnf(ssp95, plain, (~spl6 | spl29 | spl39 | spl83), inference(avatar_split_clause, [status(thm)], [p930, sdef29, sdef39, sdef83])).
% 25.55/3.79 cnf(p932, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_points(sk0,X0) | ~spl7), inference(resolution, [status(thm)], [p96, p425])).
% 25.55/3.79 fof(sdef84, definition, (spl84 <=> (apart_point_and_line(sk0,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl84])], [avatar_definition])).
% 25.55/3.79 cnf(ssp96, plain, (~spl7 | spl29 | spl84), inference(avatar_split_clause, [status(thm)], [p932, sdef29, sdef84])).
% 25.55/3.79 cnf(p934, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_points(sk1,X0) | ~spl8), inference(resolution, [status(thm)], [p96, p427])).
% 25.55/3.79 fof(sdef85, definition, (spl85 <=> (apart_point_and_line(sk0,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl85])], [avatar_definition])).
% 25.55/3.79 cnf(ssp97, plain, (~spl8 | spl29 | spl85), inference(avatar_split_clause, [status(thm)], [p934, sdef29, sdef85])).
% 25.55/3.79 cnf(p936, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_points(sk0,X0) | ~spl9), inference(resolution, [status(thm)], [p96, p430])).
% 25.55/3.79 fof(sdef86, definition, (spl86 <=> (apart_point_and_line(sk0,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl86])], [avatar_definition])).
% 25.55/3.79 cnf(ssp98, plain, (~spl9 | spl29 | spl86), inference(avatar_split_clause, [status(thm)], [p936, sdef29, sdef86])).
% 25.55/3.79 cnf(p938, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_points(X0,sk0) | ~spl10), inference(resolution, [status(thm)], [p96, p432])).
% 25.55/3.79 fof(sdef87, definition, (spl87 <=> (apart_point_and_line(sk0,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_points(X0,sk0))), introduced(definition, [new_symbols(naming, [spl87])], [avatar_definition])).
% 25.55/3.79 cnf(ssp99, plain, (~spl10 | spl29 | spl87), inference(avatar_split_clause, [status(thm)], [p938, sdef29, sdef87])).
% 25.55/3.79 cnf(p940, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(X0,sk0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk0)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_points(sk2,X0) | ~spl11), inference(resolution, [status(thm)], [p96, p435])).
% 25.55/3.79 fof(sdef88, definition, (spl88 <=> (apart_point_and_line(sk0,line_connecting(X0,sk0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk0)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_points(sk2,X0))), introduced(definition, [new_symbols(naming, [spl88])], [avatar_definition])).
% 25.55/3.79 cnf(ssp100, plain, (~spl11 | spl29 | spl88), inference(avatar_split_clause, [status(thm)], [p940, sdef29, sdef88])).
% 25.55/3.79 cnf(p942, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_points(X0,sk1) | ~spl12), inference(resolution, [status(thm)], [p96, p437])).
% 25.55/3.79 fof(sdef89, definition, (spl89 <=> (apart_point_and_line(sk0,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_points(X0,sk1))), introduced(definition, [new_symbols(naming, [spl89])], [avatar_definition])).
% 25.55/3.79 cnf(ssp101, plain, (~spl12 | spl29 | spl89), inference(avatar_split_clause, [status(thm)], [p942, sdef29, sdef89])).
% 25.55/3.79 cnf(p944, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(X0,sk1)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk1)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_points(sk2,X0) | ~spl13), inference(resolution, [status(thm)], [p96, p440])).
% 25.55/3.79 fof(sdef90, definition, (spl90 <=> (apart_point_and_line(sk0,line_connecting(X0,sk1)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk1)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_points(sk2,X0))), introduced(definition, [new_symbols(naming, [spl90])], [avatar_definition])).
% 25.55/3.79 cnf(ssp102, plain, (~spl13 | spl29 | spl90), inference(avatar_split_clause, [status(thm)], [p944, sdef29, sdef90])).
% 25.55/3.79 cnf(p946, plain, (apart_point_and_line(sk0,line_connecting(sk2,sk0)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk2,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl2), inference(resolution, [status(thm)], [p96, p443])).
% 25.55/3.79 fof(sdef91, definition, (spl91 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk2,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl91])], [avatar_definition])).
% 25.55/3.79 cnf(ssp103, plain, (~spl2 | spl33 | spl91), inference(avatar_split_clause, [status(thm)], [p946, sdef33, sdef91])).
% 25.55/3.79 cnf(p948, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl4), inference(resolution, [status(thm)], [p96, p454])).
% 25.55/3.79 fof(sdef92, definition, (spl92 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl92])], [avatar_definition])).
% 25.55/3.79 cnf(ssp104, plain, (~spl4 | spl35 | spl92), inference(avatar_split_clause, [status(thm)], [p948, sdef35, sdef92])).
% 25.55/3.79 cnf(p950, plain, (apart_point_and_line(sk0,line_connecting(sk2,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk2,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl5), inference(resolution, [status(thm)], [p96, p455])).
% 25.55/3.79 fof(sdef93, definition, (spl93 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk2,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl93])], [avatar_definition])).
% 25.55/3.79 cnf(ssp105, plain, (~spl5 | spl37 | spl93), inference(avatar_split_clause, [status(thm)], [p950, sdef37, sdef93])).
% 25.55/3.79 cnf(p952, plain, (apart_point_and_line(sk0,line_connecting(sk1,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk1,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl6), inference(resolution, [status(thm)], [p96, p456])).
% 25.55/3.79 fof(sdef94, definition, (spl94 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk1,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl94])], [avatar_definition])).
% 25.55/3.79 cnf(ssp106, plain, (~spl6 | spl39 | spl94), inference(avatar_split_clause, [status(thm)], [p952, sdef39, sdef94])).
% 25.55/3.79 cnf(p954, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_points(sk1,X0) | ~spl14), inference(resolution, [status(thm)], [p96, p473])).
% 25.55/3.79 fof(sdef95, definition, (spl95 <=> (apart_point_and_line(sk0,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl95])], [avatar_definition])).
% 25.55/3.79 cnf(ssp107, plain, (~spl14 | spl29 | spl95), inference(avatar_split_clause, [status(thm)], [p954, sdef29, sdef95])).
% 25.55/3.79 cnf(p956, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | apart_point_and_line(sk2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p96, p172])).
% 25.55/3.79 fof(sdef96, definition, (spl96 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | apart_point_and_line(sk2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl96])], [avatar_definition])).
% 25.55/3.79 cnf(ssp108, plain, (spl29 | spl96), inference(avatar_split_clause, [status(thm)], [p956, sdef29, sdef96])).
% 25.55/3.79 cnf(p959, plain, apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk1),X0), inference(resolution, [status(thm)], [p96, p475])).
% 25.55/3.79 fof(sdef97, definition, (spl97 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl97])], [avatar_definition])).
% 25.55/3.79 cnf(ssp109, plain, (spl51 | spl97), inference(avatar_split_clause, [status(thm)], [p959, sdef51, sdef97])).
% 25.55/3.79 cnf(p961, plain, apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(sk1,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p96, p506])).
% 25.55/3.79 fof(sdef98, definition, (spl98 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(sk1,X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl98])], [avatar_definition])).
% 25.55/3.79 cnf(ssp110, plain, (spl29 | spl51 | spl98), inference(avatar_split_clause, [status(thm)], [p961, sdef29, sdef51, sdef98])).
% 25.55/3.79 cnf(p963, plain, (apart_point_and_line(sk0,line_connecting(sk2,sk0)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk2,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl15), inference(resolution, [status(thm)], [p96, p480])).
% 25.55/3.79 cnf(ssp111, plain, (~spl15 | spl33 | spl91), inference(avatar_split_clause, [status(thm)], [p963, sdef33, sdef91])).
% 25.55/3.79 cnf(p964, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk2,sk0)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk1,X1) | distinct_points(X0,X1) | ~spl15), inference(resolution, [status(thm)], [p96, p510])).
% 25.55/3.79 cnf(ssp112, plain, (~spl15 | spl29 | spl33 | spl80), inference(avatar_split_clause, [status(thm)], [p964, sdef29, sdef33, sdef80])).
% 25.55/3.79 cnf(p965, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl16), inference(resolution, [status(thm)], [p96, p482])).
% 25.55/3.79 cnf(ssp113, plain, (~spl16 | spl35 | spl92), inference(avatar_split_clause, [status(thm)], [p965, sdef35, sdef92])).
% 25.55/3.79 cnf(p966, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk0,sk2)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk1,X1) | distinct_points(X0,X1) | ~spl16), inference(resolution, [status(thm)], [p96, p512])).
% 25.55/3.79 cnf(ssp114, plain, (~spl16 | spl29 | spl35 | spl81), inference(avatar_split_clause, [status(thm)], [p966, sdef29, sdef35, sdef81])).
% 25.55/3.79 cnf(p967, plain, (apart_point_and_line(sk0,line_connecting(sk2,sk1)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk2,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl17), inference(resolution, [status(thm)], [p96, p484])).
% 25.55/3.79 cnf(ssp115, plain, (~spl17 | spl37 | spl93), inference(avatar_split_clause, [status(thm)], [p967, sdef37, sdef93])).
% 25.55/3.79 cnf(p968, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk2,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk1)) | distinct_points(sk1,X1) | distinct_points(X0,X1) | ~spl17), inference(resolution, [status(thm)], [p96, p515])).
% 25.55/3.79 cnf(ssp116, plain, (~spl17 | spl29 | spl37 | spl82), inference(avatar_split_clause, [status(thm)], [p968, sdef29, sdef37, sdef82])).
% 25.55/3.79 cnf(p969, plain, (apart_point_and_line(sk0,line_connecting(sk1,sk2)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk1,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl18), inference(resolution, [status(thm)], [p96, p486])).
% 25.55/3.79 cnf(ssp117, plain, (~spl18 | spl39 | spl94), inference(avatar_split_clause, [status(thm)], [p969, sdef39, sdef94])).
% 25.55/3.79 cnf(p970, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(sk1,sk2)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk1,sk2)) | distinct_points(sk1,X1) | distinct_points(X0,X1) | ~spl18), inference(resolution, [status(thm)], [p96, p517])).
% 25.55/3.79 cnf(ssp118, plain, (~spl18 | spl29 | spl39 | spl83), inference(avatar_split_clause, [status(thm)], [p970, sdef29, sdef39, sdef83])).
% 25.55/3.79 cnf(p971, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_points(X0,sk0) | ~spl25), inference(resolution, [status(thm)], [p96, p521])).
% 25.55/3.79 fof(sdef99, definition, (spl99 <=> (apart_point_and_line(sk0,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_points(X0,sk0))), introduced(definition, [new_symbols(naming, [spl99])], [avatar_definition])).
% 25.55/3.79 cnf(ssp119, plain, (~spl25 | spl29 | spl99), inference(avatar_split_clause, [status(thm)], [p971, sdef29, sdef99])).
% 25.55/3.79 cnf(p973, plain, (apart_point_and_line(sk0,line_connecting(sk0,sk1)) | apart_point_and_line(sk0,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_points(X0,sk1) | ~spl27), inference(resolution, [status(thm)], [p96, p526])).
% 25.55/3.79 fof(sdef100, definition, (spl100 <=> (apart_point_and_line(sk0,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk1,X2) | distinct_points(X1,X2) | distinct_points(X0,sk1))), introduced(definition, [new_symbols(naming, [spl100])], [avatar_definition])).
% 25.55/3.79 cnf(ssp120, plain, (~spl27 | spl29 | spl100), inference(avatar_split_clause, [status(thm)], [p973, sdef29, sdef100])).
% 25.55/3.79 cnf(p97, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(sk0,X3) | distinct_points(X3,X2), inference(resolution, [status(thm)], [c10, p18])).
% 25.55/3.79 cnf(p983, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | apart_point_and_line(sk2,X0), inference(resolution, [status(thm)], [p97, p164])).
% 25.55/3.79 fof(sdef101, definition, (spl101 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | apart_point_and_line(sk2,X0))), introduced(definition, [new_symbols(naming, [spl101])], [avatar_definition])).
% 25.55/3.79 cnf(ssp121, plain, (spl31 | spl101), inference(avatar_split_clause, [status(thm)], [p983, sdef31, sdef101])).
% 25.55/3.79 cnf(p985, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | apart_point_and_line(X3,X0) | distinct_points(sk2,X3), inference(resolution, [status(thm)], [p97, p165])).
% 25.55/3.79 fof(sdef102, definition, (spl102 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | apart_point_and_line(X3,X0) | distinct_points(sk2,X3))), introduced(definition, [new_symbols(naming, [spl102])], [avatar_definition])).
% 25.55/3.79 cnf(ssp122, plain, (spl31 | spl102), inference(avatar_split_clause, [status(thm)], [p985, sdef31, sdef102])).
% 25.55/3.79 cnf(p987, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,sk0)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk0,X1) | distinct_points(X1,X0) | ~spl2), inference(resolution, [status(thm)], [p97, p415])).
% 25.55/3.79 fof(sdef103, definition, (spl103 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk0,X1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl103])], [avatar_definition])).
% 25.55/3.79 cnf(ssp123, plain, (~spl2 | spl31 | spl34 | spl103), inference(avatar_split_clause, [status(thm)], [p987, sdef31, sdef34, sdef103])).
% 25.55/3.79 cnf(p989, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk0,X1) | distinct_points(X1,X0) | ~spl4), inference(resolution, [status(thm)], [p97, p418])).
% 25.55/3.79 fof(sdef104, definition, (spl104 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk0,X1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl104])], [avatar_definition])).
% 25.55/3.79 cnf(ssp124, plain, (~spl4 | spl31 | spl36 | spl104), inference(avatar_split_clause, [status(thm)], [p989, sdef31, sdef36, sdef104])).
% 25.55/3.79 cnf(p991, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk1)) | distinct_points(sk0,X1) | distinct_points(X1,X0) | ~spl5), inference(resolution, [status(thm)], [p97, p420])).
% 25.55/3.79 fof(sdef105, definition, (spl105 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk1)) | distinct_points(sk0,X1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl105])], [avatar_definition])).
% 25.55/3.79 cnf(ssp125, plain, (~spl5 | spl31 | spl38 | spl105), inference(avatar_split_clause, [status(thm)], [p991, sdef31, sdef38, sdef105])).
% 25.55/3.79 cnf(p993, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk1,sk2)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk1,sk2)) | distinct_points(sk0,X1) | distinct_points(X1,X0) | ~spl6), inference(resolution, [status(thm)], [p97, p422])).
% 25.55/3.79 fof(sdef106, definition, (spl106 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk1,sk2)) | distinct_points(sk0,X1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl106])], [avatar_definition])).
% 25.55/3.79 cnf(ssp126, plain, (~spl6 | spl31 | spl40 | spl106), inference(avatar_split_clause, [status(thm)], [p993, sdef31, sdef40, sdef106])).
% 25.55/3.79 cnf(p995, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_points(sk0,X0) | ~spl7), inference(resolution, [status(thm)], [p97, p425])).
% 25.55/3.79 fof(sdef107, definition, (spl107 <=> (apart_point_and_line(sk1,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl107])], [avatar_definition])).
% 25.55/3.79 cnf(ssp127, plain, (~spl7 | spl31 | spl107), inference(avatar_split_clause, [status(thm)], [p995, sdef31, sdef107])).
% 25.55/3.79 cnf(p997, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_points(sk1,X0) | ~spl8), inference(resolution, [status(thm)], [p97, p427])).
% 25.55/3.79 fof(sdef108, definition, (spl108 <=> (apart_point_and_line(sk1,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl108])], [avatar_definition])).
% 25.55/3.79 cnf(ssp128, plain, (~spl8 | spl31 | spl108), inference(avatar_split_clause, [status(thm)], [p997, sdef31, sdef108])).
% 25.55/3.79 cnf(p999, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_points(sk0,X0) | ~spl9), inference(resolution, [status(thm)], [p97, p430])).
% 25.55/3.79 fof(sdef109, definition, (spl109 <=> (apart_point_and_line(sk1,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl109])], [avatar_definition])).
% 25.55/3.79 cnf(ssp129, plain, (~spl9 | spl31 | spl109), inference(avatar_split_clause, [status(thm)], [p999, sdef31, sdef109])).
% 25.55/3.79 cnf(p1001, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_points(X0,sk0) | ~spl10), inference(resolution, [status(thm)], [p97, p432])).
% 25.55/3.79 fof(sdef110, definition, (spl110 <=> (apart_point_and_line(sk1,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_points(X0,sk0))), introduced(definition, [new_symbols(naming, [spl110])], [avatar_definition])).
% 25.55/3.79 cnf(ssp130, plain, (~spl10 | spl31 | spl110), inference(avatar_split_clause, [status(thm)], [p1001, sdef31, sdef110])).
% 25.55/3.79 cnf(p1003, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(X0,sk0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk0)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_points(sk2,X0) | ~spl11), inference(resolution, [status(thm)], [p97, p435])).
% 25.55/3.79 fof(sdef111, definition, (spl111 <=> (apart_point_and_line(sk1,line_connecting(X0,sk0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk0)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_points(sk2,X0))), introduced(definition, [new_symbols(naming, [spl111])], [avatar_definition])).
% 25.55/3.79 cnf(ssp131, plain, (~spl11 | spl31 | spl111), inference(avatar_split_clause, [status(thm)], [p1003, sdef31, sdef111])).
% 25.55/3.79 cnf(p1005, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_points(X0,sk1) | ~spl12), inference(resolution, [status(thm)], [p97, p437])).
% 25.55/3.79 fof(sdef112, definition, (spl112 <=> (apart_point_and_line(sk1,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_points(X0,sk1))), introduced(definition, [new_symbols(naming, [spl112])], [avatar_definition])).
% 25.55/3.79 cnf(ssp132, plain, (~spl12 | spl31 | spl112), inference(avatar_split_clause, [status(thm)], [p1005, sdef31, sdef112])).
% 25.55/3.79 cnf(p1007, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(X0,sk1)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk1)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_points(sk2,X0) | ~spl13), inference(resolution, [status(thm)], [p97, p440])).
% 25.55/3.79 fof(sdef113, definition, (spl113 <=> (apart_point_and_line(sk1,line_connecting(X0,sk1)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk1)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_points(sk2,X0))), introduced(definition, [new_symbols(naming, [spl113])], [avatar_definition])).
% 25.55/3.79 cnf(ssp133, plain, (~spl13 | spl31 | spl113), inference(avatar_split_clause, [status(thm)], [p1007, sdef31, sdef113])).
% 25.55/3.79 cnf(p1009, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk0)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl2), inference(resolution, [status(thm)], [p97, p443])).
% 25.55/3.79 fof(sdef114, definition, (spl114 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl114])], [avatar_definition])).
% 25.55/3.79 cnf(ssp134, plain, (~spl2 | spl34 | spl114), inference(avatar_split_clause, [status(thm)], [p1009, sdef34, sdef114])).
% 25.55/3.79 cnf(p1011, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl4), inference(resolution, [status(thm)], [p97, p454])).
% 25.55/3.79 fof(sdef115, definition, (spl115 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl115])], [avatar_definition])).
% 25.55/3.79 cnf(ssp135, plain, (~spl4 | spl36 | spl115), inference(avatar_split_clause, [status(thm)], [p1011, sdef36, sdef115])).
% 25.55/3.79 cnf(p1013, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl5), inference(resolution, [status(thm)], [p97, p455])).
% 25.55/3.79 fof(sdef116, definition, (spl116 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl116])], [avatar_definition])).
% 25.55/3.79 cnf(ssp136, plain, (~spl5 | spl38 | spl116), inference(avatar_split_clause, [status(thm)], [p1013, sdef38, sdef116])).
% 25.55/3.79 cnf(p1015, plain, (apart_point_and_line(sk1,line_connecting(sk1,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk1,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl6), inference(resolution, [status(thm)], [p97, p456])).
% 25.55/3.79 fof(sdef117, definition, (spl117 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk1,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl117])], [avatar_definition])).
% 25.55/3.79 cnf(ssp137, plain, (~spl6 | spl40 | spl117), inference(avatar_split_clause, [status(thm)], [p1015, sdef40, sdef117])).
% 25.55/3.79 cnf(p1017, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_points(sk1,X0) | ~spl14), inference(resolution, [status(thm)], [p97, p473])).
% 25.55/3.79 fof(sdef118, definition, (spl118 <=> (apart_point_and_line(sk1,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl118])], [avatar_definition])).
% 25.55/3.79 cnf(ssp138, plain, (~spl14 | spl31 | spl118), inference(avatar_split_clause, [status(thm)], [p1017, sdef31, sdef118])).
% 25.55/3.79 cnf(p1019, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | apart_point_and_line(sk2,X3) | distinct_lines(X3,X0), inference(resolution, [status(thm)], [p97, p172])).
% 25.55/3.79 fof(sdef119, definition, (spl119 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | apart_point_and_line(sk2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl119])], [avatar_definition])).
% 25.55/3.79 cnf(ssp139, plain, (spl31 | spl119), inference(avatar_split_clause, [status(thm)], [p1019, sdef31, sdef119])).
% 25.55/3.79 cnf(p1022, plain, apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk1),X0), inference(resolution, [status(thm)], [p97, p475])).
% 25.55/3.79 fof(sdef120, definition, (spl120 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl120])], [avatar_definition])).
% 25.55/3.79 cnf(ssp140, plain, (spl52 | spl120), inference(avatar_split_clause, [status(thm)], [p1022, sdef52, sdef120])).
% 25.55/3.79 cnf(p1024, plain, apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(sk0,X1) | distinct_points(X1,X0), inference(resolution, [status(thm)], [p97, p506])).
% 25.55/3.79 fof(sdef121, definition, (spl121 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(sk0,X1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl121])], [avatar_definition])).
% 25.55/3.79 cnf(ssp141, plain, (spl31 | spl52 | spl121), inference(avatar_split_clause, [status(thm)], [p1024, sdef31, sdef52, sdef121])).
% 25.55/3.79 cnf(p1026, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk0)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl15), inference(resolution, [status(thm)], [p97, p480])).
% 25.55/3.79 cnf(ssp142, plain, (~spl15 | spl34 | spl114), inference(avatar_split_clause, [status(thm)], [p1026, sdef34, sdef114])).
% 25.55/3.79 cnf(p1027, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,sk0)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk0,X1) | distinct_points(X1,X0) | ~spl15), inference(resolution, [status(thm)], [p97, p510])).
% 25.55/3.79 cnf(ssp143, plain, (~spl15 | spl31 | spl34 | spl103), inference(avatar_split_clause, [status(thm)], [p1027, sdef31, sdef34, sdef103])).
% 25.55/3.79 cnf(p1028, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl16), inference(resolution, [status(thm)], [p97, p482])).
% 25.55/3.79 cnf(ssp144, plain, (~spl16 | spl36 | spl115), inference(avatar_split_clause, [status(thm)], [p1028, sdef36, sdef115])).
% 25.55/3.79 cnf(p1029, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk0,X1) | distinct_points(X1,X0) | ~spl16), inference(resolution, [status(thm)], [p97, p512])).
% 25.55/3.79 cnf(ssp145, plain, (~spl16 | spl31 | spl36 | spl104), inference(avatar_split_clause, [status(thm)], [p1029, sdef31, sdef36, sdef104])).
% 25.55/3.79 cnf(p1030, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk1)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk1)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl17), inference(resolution, [status(thm)], [p97, p484])).
% 25.55/3.79 cnf(ssp146, plain, (~spl17 | spl38 | spl116), inference(avatar_split_clause, [status(thm)], [p1030, sdef38, sdef116])).
% 25.55/3.79 cnf(p1031, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk2,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk1)) | distinct_points(sk0,X1) | distinct_points(X1,X0) | ~spl17), inference(resolution, [status(thm)], [p97, p515])).
% 25.55/3.79 cnf(ssp147, plain, (~spl17 | spl31 | spl38 | spl105), inference(avatar_split_clause, [status(thm)], [p1031, sdef31, sdef38, sdef105])).
% 25.55/3.79 cnf(p1032, plain, (apart_point_and_line(sk1,line_connecting(sk1,sk2)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk1,sk2)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl18), inference(resolution, [status(thm)], [p97, p486])).
% 25.55/3.79 cnf(ssp148, plain, (~spl18 | spl40 | spl117), inference(avatar_split_clause, [status(thm)], [p1032, sdef40, sdef117])).
% 25.55/3.79 cnf(p1033, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(sk1,sk2)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk1,sk2)) | distinct_points(sk0,X1) | distinct_points(X1,X0) | ~spl18), inference(resolution, [status(thm)], [p97, p517])).
% 25.55/3.79 cnf(ssp149, plain, (~spl18 | spl31 | spl40 | spl106), inference(avatar_split_clause, [status(thm)], [p1033, sdef31, sdef40, sdef106])).
% 25.55/3.79 cnf(p1034, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_points(X0,sk0) | ~spl25), inference(resolution, [status(thm)], [p97, p521])).
% 25.55/3.79 fof(sdef122, definition, (spl122 <=> (apart_point_and_line(sk1,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_points(X0,sk0))), introduced(definition, [new_symbols(naming, [spl122])], [avatar_definition])).
% 25.55/3.79 cnf(ssp150, plain, (~spl25 | spl31 | spl122), inference(avatar_split_clause, [status(thm)], [p1034, sdef31, sdef122])).
% 25.55/3.79 cnf(p1036, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(sk1,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_points(X0,sk1) | ~spl27), inference(resolution, [status(thm)], [p97, p526])).
% 25.55/3.79 fof(sdef123, definition, (spl123 <=> (apart_point_and_line(sk1,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk0,X2) | distinct_points(X2,X1) | distinct_points(X0,sk1))), introduced(definition, [new_symbols(naming, [spl123])], [avatar_definition])).
% 25.55/3.79 cnf(ssp151, plain, (~spl27 | spl31 | spl123), inference(avatar_split_clause, [status(thm)], [p1036, sdef31, sdef123])).
% 25.55/3.79 cnf(p98, plain, ~distinct_lines(X0,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | apart_point_and_line(X3,X0) | apart_point_and_line(X3,X1) | distinct_points(sk0,X2) | distinct_points(sk1,X3), inference(resolution, [status(thm)], [c10, p18])).
% 25.55/3.79 cnf(p1047, plain, (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,sk0)) | distinct_points(sk0,X0) | distinct_points(sk1,X1) | ~spl2), inference(resolution, [status(thm)], [p98, p415])).
% 25.55/3.79 fof(sdef124, definition, (spl124 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl124])], [avatar_definition])).
% 25.55/3.79 cnf(ssp152, plain, (~spl2 | spl57 | spl124), inference(avatar_split_clause, [status(thm)], [p1047, sdef57, sdef124])).
% 25.55/3.79 cnf(p1049, plain, (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | distinct_points(sk0,X0) | distinct_points(sk1,X1) | ~spl4), inference(resolution, [status(thm)], [p98, p418])).
% 25.55/3.79 fof(sdef125, definition, (spl125 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl125])], [avatar_definition])).
% 25.55/3.79 cnf(ssp153, plain, (~spl4 | spl58 | spl125), inference(avatar_split_clause, [status(thm)], [p1049, sdef58, sdef125])).
% 25.55/3.79 cnf(p1051, plain, (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk1)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,sk1)) | distinct_points(sk0,X0) | distinct_points(sk1,X1) | ~spl5), inference(resolution, [status(thm)], [p98, p420])).
% 25.55/3.79 fof(sdef126, definition, (spl126 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk1)) | distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl126])], [avatar_definition])).
% 25.55/3.79 cnf(ssp154, plain, (~spl5 | spl59 | spl126), inference(avatar_split_clause, [status(thm)], [p1051, sdef59, sdef126])).
% 25.55/3.79 cnf(p1053, plain, (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk1,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk1,sk2)) | distinct_points(sk0,X0) | distinct_points(sk1,X1) | ~spl6), inference(resolution, [status(thm)], [p98, p422])).
% 25.55/3.79 fof(sdef127, definition, (spl127 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk1,sk2)) | distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl127])], [avatar_definition])).
% 25.55/3.79 cnf(ssp155, plain, (~spl6 | spl60 | spl127), inference(avatar_split_clause, [status(thm)], [p1053, sdef60, sdef127])).
% 25.55/3.79 cnf(p1070, plain, apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | distinct_points(sk0,X0) | distinct_points(sk1,X1), inference(resolution, [status(thm)], [p98, p506])).
% 25.55/3.79 fof(sdef128, definition, (spl128 <=> (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl128])], [avatar_definition])).
% 25.55/3.79 cnf(ssp156, plain, (spl75 | spl128), inference(avatar_split_clause, [status(thm)], [p1070, sdef75, sdef128])).
% 25.55/3.79 cnf(p1073, plain, (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,sk0)) | distinct_points(sk0,X0) | distinct_points(sk1,X1) | ~spl15), inference(resolution, [status(thm)], [p98, p510])).
% 25.55/3.79 cnf(ssp157, plain, (~spl15 | spl57 | spl124), inference(avatar_split_clause, [status(thm)], [p1073, sdef57, sdef124])).
% 25.55/3.79 cnf(p1075, plain, (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk0,sk2)) | distinct_points(sk0,X0) | distinct_points(sk1,X1) | ~spl16), inference(resolution, [status(thm)], [p98, p512])).
% 25.55/3.79 cnf(ssp158, plain, (~spl16 | spl58 | spl125), inference(avatar_split_clause, [status(thm)], [p1075, sdef58, sdef125])).
% 25.55/3.79 cnf(p1077, plain, (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk1)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,sk1)) | distinct_points(sk0,X0) | distinct_points(sk1,X1) | ~spl17), inference(resolution, [status(thm)], [p98, p515])).
% 25.55/3.79 cnf(ssp159, plain, (~spl17 | spl59 | spl126), inference(avatar_split_clause, [status(thm)], [p1077, sdef59, sdef126])).
% 25.55/3.79 cnf(p1079, plain, (apart_point_and_line(X0,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk1,sk2)) | apart_point_and_line(X1,line_connecting(sk0,sk1)) | apart_point_and_line(X1,line_connecting(sk1,sk2)) | distinct_points(sk0,X0) | distinct_points(sk1,X1) | ~spl18), inference(resolution, [status(thm)], [p98, p517])).
% 25.55/3.79 cnf(ssp160, plain, (~spl18 | spl60 | spl127), inference(avatar_split_clause, [status(thm)], [p1079, sdef60, sdef127])).
% 25.55/3.79 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, sct0, sct1, sct2, sct3, sct4, sct5, sct6, sct7, sct8, sct9])).
% 25.55/3.79 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------