%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO177+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n018.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 01:17:17 PM UTC 2026
% Result : Theorem 22.25s 8.40s
% Output : Proof 22.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO177+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/5.42 % Computer : n018.cluster.edu
% 0.09/5.42 % Model : x86_64 x86_64
% 0.09/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.42 % Memory : 8046.5625MB
% 0.09/5.42 % OS : Linux 6.8.0-71-generic
% 0.09/5.42 % CPULimit : 300
% 0.09/5.42 % WCLimit : 300
% 0.09/5.42 % DateTime : Wed Sep 23 11:20:07 UTC 2026
% 0.09/5.42 % CPUTime :
% 0.09/5.42 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 22.25/8.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.25/8.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.25/8.40 fof(sdef11, definition, (spl11 <=> (distinct_points(sk0,sk0))), introduced(definition, [new_symbols(naming, [spl11])], [avatar_definition])).
% 22.25/8.40 cnf(p694, plain, (distinct_points(sk0,sk0) | ~spl11), inference(avatar_component_clause, [status(thm)], [sdef11])).
% 22.25/8.40 fof(f0, axiom, ! [X] : ~ distinct_points(X,X), file('/export/starexec/sandbox/benchmark/theBenchmark.p', apart1)).
% 22.25/8.40 fof(f0_nnf, plain, ! [X] : (~(distinct_points(X,X))), inference(nnf_transformation, [status(thm)], [f0])).
% 22.25/8.40 fof(f0_sk, plain, ! [X] : (~(distinct_points(X,X))), inference(skolemisation, [status(esa)], [f0_nnf])).
% 22.25/8.40 cnf(c0, plain, ~distinct_points(X0,X0), inference(cnf_transformation, [status(esa)], [f0_sk])).
% 22.25/8.40 cnf(p710, plain, ($false | ~spl11), inference(resolution, [status(thm)], [p694, c0])).
% 22.25/8.40 cnf(sct0, plain, (~spl11), inference(avatar_contradiction_clause, [status(thm)], [p710])).
% 22.25/8.40 fof(sdef2, definition, (spl2 <=> (distinct_points(sk0,X0) | distinct_points(X0,sk0))), introduced(definition, [new_symbols(naming, [spl2])], [avatar_definition])).
% 22.25/8.40 cnf(p675, plain, (distinct_points(sk0,X0) | distinct_points(X0,sk0) | ~spl2), inference(avatar_component_clause, [status(thm)], [sdef2])).
% 22.25/8.40 cnf(p711, plain, (distinct_points(sk0,sk0) | ~spl2), inference(factoring, [status(thm)], [p675])).
% 22.25/8.40 cnf(p720, plain, ($false | ~spl2), inference(resolution, [status(thm)], [p711, c0])).
% 22.25/8.40 cnf(sct1, plain, (~spl2), inference(avatar_contradiction_clause, [status(thm)], [p720])).
% 22.25/8.40 fof(sdef21, definition, (spl21 <=> (apart_point_and_line(sk0,line_connecting(sk3,sk0)))), introduced(definition, [new_symbols(naming, [spl21])], [avatar_definition])).
% 22.25/8.40 cnf(p910, plain, (apart_point_and_line(sk0,line_connecting(sk3,sk0)) | ~spl21), inference(avatar_component_clause, [status(thm)], [sdef21])).
% 22.25/8.40 fof(f9, axiom, ! [X,Y,Z] : ( apart_point_and_line(X,Y) => ( distinct_points(X,Z) | apart_point_and_line(Z,Y) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ceq1)).
% 22.25/8.40 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])).
% 22.25/8.40 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])).
% 22.25/8.40 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])).
% 22.25/8.40 fof(sdef0, definition, (spl0 <=> (apart_point_and_line(sk0,line_connecting(sk2,sk3)))), introduced(definition, [new_symbols(naming, [spl0])], [avatar_definition])).
% 22.25/8.40 cnf(p17, plain, (apart_point_and_line(sk0,line_connecting(sk2,sk3)) | ~spl0), inference(avatar_component_clause, [status(thm)], [sdef0])).
% 22.25/8.40 cnf(p149, plain, (distinct_points(sk0,X0) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | ~spl0), inference(resolution, [status(thm)], [c11, p17])).
% 22.25/8.40 fof(f6, axiom, ! [X,Y,Z] : ( distinct_points(X,Y) => ( apart_point_and_line(Z,line_connecting(X,Y)) => ( distinct_points(Z,X) & distinct_points(Z,Y) ) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con1)).
% 22.25/8.40 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])).
% 22.25/8.40 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])).
% 22.25/8.40 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])).
% 22.25/8.40 fof(f12, conjecture, ! [X,Y,U,V] : ( ( distinct_points(X,Y) & distinct_points(U,V) ) => ( ( apart_point_and_line(X,line_connecting(U,V)) | apart_point_and_line(Y,line_connecting(U,V)) ) => ( apart_point_and_line(U,line_connecting(X,Y)) | apart_point_and_line(V,line_connecting(X,Y)) ) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 22.25/8.40 fof(f12_neg, negated_conjecture, ~(! [X,Y,U,V] : ( ( distinct_points(X,Y) & distinct_points(U,V) ) => ( ( apart_point_and_line(X,line_connecting(U,V)) | apart_point_and_line(Y,line_connecting(U,V)) ) => ( apart_point_and_line(U,line_connecting(X,Y)) | apart_point_and_line(V,line_connecting(X,Y)) ) ) )), inference(negated_conjecture, [status(cth)], [f12])).
% 22.25/8.40 fof(f12_nnf, plain, ? [X,Y,U,V] : (((distinct_points(X,Y) & distinct_points(U,V)) & ((apart_point_and_line(X,line_connecting(U,V)) | apart_point_and_line(Y,line_connecting(U,V))) & (~(apart_point_and_line(U,line_connecting(X,Y))) & ~(apart_point_and_line(V,line_connecting(X,Y))))))), inference(nnf_transformation, [status(thm)], [f12_neg])).
% 22.25/8.40 fof(f12_sk, plain, ((distinct_points(sk0,sk1) & distinct_points(sk2,sk3)) & ((apart_point_and_line(sk0,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,line_connecting(sk2,sk3))) & (~(apart_point_and_line(sk2,line_connecting(sk0,sk1))) & ~(apart_point_and_line(sk3,line_connecting(sk0,sk1)))))), inference(skolemisation, [status(esa), new_symbols(skolem, [sk0,sk1,sk2,sk3])], [f12_nnf])).
% 22.25/8.40 cnf(c15, plain, distinct_points(sk2,sk3), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 22.25/8.40 cnf(p76, plain, ~apart_point_and_line(X0,line_connecting(sk2,sk3)) | distinct_points(X0,sk3), inference(resolution, [status(thm)], [c7, c15])).
% 22.25/8.40 cnf(p154, plain, (distinct_points(sk0,X0) | distinct_points(X0,sk3) | ~spl0), inference(resolution, [status(thm)], [p149, p76])).
% 22.25/8.40 fof(f3, axiom, ! [X,Y,Z] : ( distinct_points(X,Y) => ( distinct_points(X,Z) | distinct_points(Y,Z) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', apart4)).
% 22.25/8.40 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])).
% 22.25/8.40 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])).
% 22.25/8.40 cnf(c3, plain, ~distinct_points(X0,X1) | distinct_points(X0,X2) | distinct_points(X1,X2), inference(cnf_transformation, [status(esa)], [f3_sk])).
% 22.25/8.40 cnf(p163, plain, (distinct_points(X0,sk3) | distinct_points(sk0,X1) | distinct_points(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p154, c3])).
% 22.25/8.40 cnf(p346, plain, (distinct_points(X0,sk3) | distinct_points(X0,sk0) | ~spl0), inference(resolution, [status(thm)], [p163, c0])).
% 22.25/8.40 cnf(p358, plain, (distinct_points(sk3,sk0) | ~spl0), inference(resolution, [status(thm)], [p346, c0])).
% 22.25/8.40 cnf(p364, plain, (~apart_point_and_line(X0,line_connecting(sk3,sk0)) | distinct_points(X0,sk0) | ~spl0), inference(resolution, [status(thm)], [p358, c7])).
% 22.25/8.40 cnf(p915, plain, (distinct_points(sk0,sk0) | ~spl0 | ~spl21), inference(resolution, [status(thm)], [p910, p364])).
% 22.25/8.40 cnf(p923, plain, ($false | ~spl0 | ~spl21), inference(resolution, [status(thm)], [p915, c0])).
% 22.25/8.40 cnf(sct2, plain, (~spl0 | ~spl21), inference(avatar_contradiction_clause, [status(thm)], [p923])).
% 22.25/8.40 fof(sdef27, definition, (spl27 <=> (apart_point_and_line(sk2,line_connecting(sk2,sk3)))), introduced(definition, [new_symbols(naming, [spl27])], [avatar_definition])).
% 22.25/8.40 cnf(p933, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | ~spl27), inference(avatar_component_clause, [status(thm)], [sdef27])).
% 22.25/8.40 cnf(c6, plain, ~distinct_points(X0,X1) | ~apart_point_and_line(X2,line_connecting(X0,X1)) | distinct_points(X2,X0), inference(cnf_transformation, [status(esa)], [f6_sk])).
% 22.25/8.40 cnf(p46, plain, ~apart_point_and_line(X0,line_connecting(sk2,sk3)) | distinct_points(X0,sk2), inference(resolution, [status(thm)], [c6, c15])).
% 22.25/8.40 cnf(p1055, plain, (distinct_points(sk2,sk2) | ~spl27), inference(resolution, [status(thm)], [p933, p46])).
% 22.25/8.40 cnf(p1058, plain, ($false | ~spl27), inference(resolution, [status(thm)], [p1055, c0])).
% 22.25/8.40 cnf(sct3, plain, (~spl27), inference(avatar_contradiction_clause, [status(thm)], [p1058])).
% 22.25/8.40 fof(sdef29, definition, (spl29 <=> (apart_point_and_line(sk3,line_connecting(sk2,sk3)))), introduced(definition, [new_symbols(naming, [spl29])], [avatar_definition])).
% 22.25/8.40 cnf(p935, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | ~spl29), inference(avatar_component_clause, [status(thm)], [sdef29])).
% 22.25/8.40 cnf(p1059, plain, (distinct_points(sk3,sk3) | ~spl29), inference(resolution, [status(thm)], [p935, p76])).
% 22.25/8.40 cnf(p1062, plain, ($false | ~spl29), inference(resolution, [status(thm)], [p1059, c0])).
% 22.25/8.40 cnf(sct4, plain, (~spl29), inference(avatar_contradiction_clause, [status(thm)], [p1062])).
% 22.25/8.40 fof(sdef32, definition, (spl32 <=> (apart_point_and_line(sk2,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl32])], [avatar_definition])).
% 22.25/8.40 cnf(p941, plain, (apart_point_and_line(sk2,line_connecting(sk0,sk1)) | ~spl32), inference(avatar_component_clause, [status(thm)], [sdef32])).
% 22.25/8.40 cnf(c17, plain, ~apart_point_and_line(sk2,line_connecting(sk0,sk1)), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 22.25/8.40 cnf(p1109, plain, ($false | ~spl32), inference(resolution, [status(thm)], [p941, c17])).
% 22.25/8.40 cnf(sct5, plain, (~spl32), inference(avatar_contradiction_clause, [status(thm)], [p1109])).
% 22.25/8.40 fof(sdef33, definition, (spl33 <=> (apart_point_and_line(sk3,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl33])], [avatar_definition])).
% 22.25/8.40 cnf(p942, plain, (apart_point_and_line(sk3,line_connecting(sk0,sk1)) | ~spl33), inference(avatar_component_clause, [status(thm)], [sdef33])).
% 22.25/8.40 cnf(c18, plain, ~apart_point_and_line(sk3,line_connecting(sk0,sk1)), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 22.25/8.40 cnf(p1110, plain, ($false | ~spl33), inference(resolution, [status(thm)], [p942, c18])).
% 22.25/8.40 cnf(sct6, plain, (~spl33), inference(avatar_contradiction_clause, [status(thm)], [p1110])).
% 22.25/8.40 fof(sdef109, definition, (spl109 <=> (distinct_points(sk2,sk2))), introduced(definition, [new_symbols(naming, [spl109])], [avatar_definition])).
% 22.25/8.40 cnf(p1114, plain, (distinct_points(sk2,sk2) | ~spl109), inference(avatar_component_clause, [status(thm)], [sdef109])).
% 22.25/8.40 cnf(p1124, plain, ($false | ~spl109), inference(resolution, [status(thm)], [p1114, c0])).
% 22.25/8.40 cnf(sct7, plain, (~spl109), inference(avatar_contradiction_clause, [status(thm)], [p1124])).
% 22.25/8.40 fof(sdef119, definition, (spl119 <=> (distinct_points(sk3,sk3))), introduced(definition, [new_symbols(naming, [spl119])], [avatar_definition])).
% 22.25/8.40 cnf(p1191, plain, (distinct_points(sk3,sk3) | ~spl119), inference(avatar_component_clause, [status(thm)], [sdef119])).
% 22.25/8.40 cnf(p1201, plain, ($false | ~spl119), inference(resolution, [status(thm)], [p1191, c0])).
% 22.25/8.40 cnf(sct8, plain, (~spl119), inference(avatar_contradiction_clause, [status(thm)], [p1201])).
% 22.25/8.40 fof(sdef60, definition, (spl60 <=> (apart_point_and_line(sk1,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl60])], [avatar_definition])).
% 22.25/8.40 cnf(p1009, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk1)) | ~spl60), inference(avatar_component_clause, [status(thm)], [sdef60])).
% 22.25/8.40 cnf(c14, plain, distinct_points(sk0,sk1), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 22.25/8.40 cnf(p75, plain, ~apart_point_and_line(X0,line_connecting(sk0,sk1)) | distinct_points(X0,sk1), inference(resolution, [status(thm)], [c7, c14])).
% 22.25/8.40 cnf(p1239, plain, (distinct_points(sk1,sk1) | ~spl60), inference(resolution, [status(thm)], [p1009, p75])).
% 22.25/8.40 cnf(p1242, plain, ($false | ~spl60), inference(resolution, [status(thm)], [p1239, c0])).
% 22.25/8.40 cnf(sct9, plain, (~spl60), inference(avatar_contradiction_clause, [status(thm)], [p1242])).
% 22.25/8.40 fof(sdef64, definition, (spl64 <=> (apart_point_and_line(sk1,line_connecting(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl64])], [avatar_definition])).
% 22.25/8.40 cnf(p1015, plain, (apart_point_and_line(sk1,line_connecting(sk1,sk0)) | ~spl64), inference(avatar_component_clause, [status(thm)], [sdef64])).
% 22.25/8.40 cnf(p21, plain, distinct_points(sk0,X0) | distinct_points(sk1,X0), inference(resolution, [status(thm)], [c3, c14])).
% 22.25/8.40 cnf(p23, plain, distinct_points(sk0,X0) | distinct_points(sk1,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p21, c3])).
% 22.25/8.40 cnf(p25, plain, distinct_points(sk0,X0) | distinct_points(X0,sk1), inference(resolution, [status(thm)], [p23, c0])).
% 22.25/8.40 cnf(p29, plain, distinct_points(X0,sk1) | distinct_points(sk0,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p25, c3])).
% 22.25/8.40 cnf(p35, plain, distinct_points(X0,sk1) | distinct_points(X0,sk0), inference(resolution, [status(thm)], [p29, c0])).
% 22.25/8.40 cnf(p38, plain, distinct_points(sk1,sk0), inference(resolution, [status(thm)], [p35, c0])).
% 22.25/8.40 cnf(p63, plain, ~apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(X0,sk1), inference(resolution, [status(thm)], [c6, p38])).
% 22.25/8.40 cnf(p1251, plain, (distinct_points(sk1,sk1) | ~spl64), inference(resolution, [status(thm)], [p1015, p63])).
% 22.25/8.40 cnf(p1254, plain, ($false | ~spl64), inference(resolution, [status(thm)], [p1251, c0])).
% 22.25/8.40 cnf(sct10, plain, (~spl64), inference(avatar_contradiction_clause, [status(thm)], [p1254])).
% 22.25/8.40 fof(sdef141, definition, (spl141 <=> (distinct_points(sk1,sk1))), introduced(definition, [new_symbols(naming, [spl141])], [avatar_definition])).
% 22.25/8.40 cnf(p1521, plain, (distinct_points(sk1,sk1) | ~spl141), inference(avatar_component_clause, [status(thm)], [sdef141])).
% 22.25/8.40 cnf(p1557, plain, ($false | ~spl141), inference(resolution, [status(thm)], [p1521, c0])).
% 22.25/8.40 cnf(sct11, plain, (~spl141), inference(avatar_contradiction_clause, [status(thm)], [p1557])).
% 22.25/8.40 fof(sdef134, definition, (spl134 <=> (distinct_points(sk1,X0) | distinct_points(X0,sk1))), introduced(definition, [new_symbols(naming, [spl134])], [avatar_definition])).
% 22.25/8.40 cnf(p1500, plain, (distinct_points(sk1,X0) | distinct_points(X0,sk1) | ~spl134), inference(avatar_component_clause, [status(thm)], [sdef134])).
% 22.25/8.40 cnf(p1571, plain, (distinct_points(sk1,sk1) | ~spl134), inference(factoring, [status(thm)], [p1500])).
% 22.25/8.40 cnf(p1582, plain, ($false | ~spl134), inference(resolution, [status(thm)], [p1571, c0])).
% 22.25/8.40 cnf(sct12, plain, (~spl134), inference(avatar_contradiction_clause, [status(thm)], [p1582])).
% 22.25/8.40 cnf(c16, plain, apart_point_and_line(sk0,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,line_connecting(sk2,sk3)), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 22.25/8.40 fof(sdef1, definition, (spl1 <=> (apart_point_and_line(sk1,line_connecting(sk2,sk3)))), introduced(definition, [new_symbols(naming, [spl1])], [avatar_definition])).
% 22.25/8.40 cnf(ssp0, plain, (spl0 | spl1), inference(avatar_split_clause, [status(thm)], [c16, sdef0, sdef1])).
% 22.25/8.40 fof(f10, axiom, ! [X,Y,Z] : ( apart_point_and_line(X,Y) => ( distinct_lines(Y,Z) | apart_point_and_line(X,Z) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ceq2)).
% 22.25/8.40 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])).
% 22.25/8.40 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])).
% 22.25/8.40 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])).
% 22.25/8.40 cnf(p156, plain, (distinct_points(sk0,X0) | distinct_lines(line_connecting(sk2,sk3),X1) | apart_point_and_line(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p149, c12])).
% 22.25/8.40 cnf(p45, plain, ~apart_point_and_line(X0,line_connecting(sk0,sk1)) | distinct_points(X0,sk0), inference(resolution, [status(thm)], [c6, c14])).
% 22.25/8.40 cnf(p674, plain, (distinct_points(sk0,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,sk1)) | distinct_points(X0,sk0) | ~spl0), inference(resolution, [status(thm)], [p156, p45])).
% 22.25/8.40 fof(sdef3, definition, (spl3 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl3])], [avatar_definition])).
% 22.25/8.40 cnf(ssp1, plain, (~spl0 | spl2 | spl3), inference(avatar_split_clause, [status(thm)], [p674, sdef2, sdef3])).
% 22.25/8.40 cnf(p69, plain, (distinct_points(sk0,sk2) | ~spl0), inference(resolution, [status(thm)], [p46, p17])).
% 22.25/8.40 cnf(p72, plain, (~apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(X0,sk0) | ~spl0), inference(resolution, [status(thm)], [p69, c6])).
% 22.25/8.40 cnf(p677, plain, (distinct_points(sk0,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,sk2)) | distinct_points(X0,sk0) | ~spl0), inference(resolution, [status(thm)], [p156, p72])).
% 22.25/8.40 fof(sdef4, definition, (spl4 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl4])], [avatar_definition])).
% 22.25/8.40 cnf(ssp2, plain, (~spl0 | spl2 | spl4), inference(avatar_split_clause, [status(thm)], [p677, sdef2, sdef4])).
% 22.25/8.40 cnf(p93, plain, ~apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(X0,sk0), inference(resolution, [status(thm)], [c7, p38])).
% 22.25/8.40 cnf(p679, plain, (distinct_points(sk0,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,sk0)) | distinct_points(X0,sk0) | ~spl0), inference(resolution, [status(thm)], [p156, p93])).
% 22.25/8.40 fof(sdef5, definition, (spl5 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl5])], [avatar_definition])).
% 22.25/8.40 cnf(ssp3, plain, (~spl0 | spl2 | spl5), inference(avatar_split_clause, [status(thm)], [p679, sdef2, sdef5])).
% 22.25/8.40 cnf(p107, plain, (distinct_points(sk0,sk3) | ~spl0), inference(resolution, [status(thm)], [p76, p17])).
% 22.25/8.40 cnf(p110, plain, (~apart_point_and_line(X0,line_connecting(sk0,sk3)) | distinct_points(X0,sk0) | ~spl0), inference(resolution, [status(thm)], [p107, c6])).
% 22.25/8.40 cnf(p681, plain, (distinct_points(sk0,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,sk3)) | distinct_points(X0,sk0) | ~spl0), inference(resolution, [status(thm)], [p156, p110])).
% 22.25/8.40 fof(sdef6, definition, (spl6 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,sk3)))), introduced(definition, [new_symbols(naming, [spl6])], [avatar_definition])).
% 22.25/8.40 cnf(ssp4, plain, (~spl0 | spl2 | spl6), inference(avatar_split_clause, [status(thm)], [p681, sdef2, sdef6])).
% 22.25/8.40 cnf(p153, plain, (distinct_points(sk0,X0) | distinct_points(X0,sk2) | ~spl0), inference(resolution, [status(thm)], [p149, p46])).
% 22.25/8.40 cnf(p157, plain, (distinct_points(X0,sk2) | distinct_points(sk0,X1) | distinct_points(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p153, c3])).
% 22.25/8.40 cnf(p311, plain, (distinct_points(X0,sk2) | distinct_points(X0,sk0) | ~spl0), inference(resolution, [status(thm)], [p157, c0])).
% 22.25/8.40 cnf(p323, plain, (distinct_points(sk2,sk0) | ~spl0), inference(resolution, [status(thm)], [p311, c0])).
% 22.25/8.40 cnf(p329, plain, (~apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(X0,sk0) | ~spl0), inference(resolution, [status(thm)], [p323, c7])).
% 22.25/8.40 cnf(p684, plain, (distinct_points(sk0,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk2,sk0)) | distinct_points(X0,sk0) | ~spl0), inference(resolution, [status(thm)], [p156, p329])).
% 22.25/8.40 fof(sdef7, definition, (spl7 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk2,sk0)))), introduced(definition, [new_symbols(naming, [spl7])], [avatar_definition])).
% 22.25/8.40 cnf(ssp5, plain, (~spl0 | spl2 | spl7), inference(avatar_split_clause, [status(thm)], [p684, sdef2, sdef7])).
% 22.25/8.40 cnf(p686, plain, (distinct_points(sk0,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk3,sk0)) | distinct_points(X0,sk0) | ~spl0), inference(resolution, [status(thm)], [p156, p364])).
% 22.25/8.40 fof(sdef8, definition, (spl8 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk3,sk0)))), introduced(definition, [new_symbols(naming, [spl8])], [avatar_definition])).
% 22.25/8.40 cnf(ssp6, plain, (~spl0 | spl2 | spl8), inference(avatar_split_clause, [status(thm)], [p686, sdef2, sdef8])).
% 22.25/8.40 cnf(p52, plain, ~apart_point_and_line(X0,line_connecting(sk0,X1)) | distinct_points(X0,sk0) | distinct_points(X1,sk1), inference(resolution, [status(thm)], [c6, p25])).
% 22.25/8.40 cnf(p688, plain, (distinct_points(sk0,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X1)) | distinct_points(X0,sk0) | distinct_points(X1,sk1) | ~spl0), inference(resolution, [status(thm)], [p156, p52])).
% 22.25/8.40 fof(sdef9, definition, (spl9 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X0)) | distinct_points(X0,sk1))), introduced(definition, [new_symbols(naming, [spl9])], [avatar_definition])).
% 22.25/8.41 cnf(ssp7, plain, (~spl0 | spl2 | spl9), inference(avatar_split_clause, [status(thm)], [p688, sdef2, sdef9])).
% 22.25/8.41 cnf(p49, plain, ~apart_point_and_line(X0,line_connecting(sk0,X1)) | distinct_points(X0,sk0) | distinct_points(sk1,X2) | distinct_points(X1,X2), inference(resolution, [status(thm)], [c6, p23])).
% 22.25/8.41 cnf(p691, plain, (distinct_points(sk0,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X1)) | distinct_points(X0,sk0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | ~spl0), inference(resolution, [status(thm)], [p156, p49])).
% 22.25/8.41 fof(sdef10, definition, (spl10 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X0)) | distinct_points(sk1,X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl10])], [avatar_definition])).
% 22.25/8.41 cnf(ssp8, plain, (~spl0 | spl2 | spl10), inference(avatar_split_clause, [status(thm)], [p691, sdef2, sdef10])).
% 22.25/8.41 cnf(p53, plain, ~apart_point_and_line(X0,line_connecting(X1,sk1)) | distinct_points(X0,X1) | distinct_points(sk0,X1), inference(resolution, [status(thm)], [c6, p25])).
% 22.25/8.41 cnf(p635, plain, ~apart_point_and_line(sk0,line_connecting(X0,sk1)) | distinct_points(sk0,X0), inference(factoring, [status(thm)], [p53])).
% 22.25/8.41 cnf(p693, plain, (distinct_points(sk0,sk0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk1)) | distinct_points(sk0,X0) | ~spl0), inference(resolution, [status(thm)], [p156, p635])).
% 22.25/8.41 fof(sdef12, definition, (spl12 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk1)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl12])], [avatar_definition])).
% 22.25/8.41 cnf(ssp9, plain, (~spl0 | spl11 | spl12), inference(avatar_split_clause, [status(thm)], [p693, sdef11, sdef12])).
% 22.25/8.41 cnf(p77, plain, ~apart_point_and_line(X0,line_connecting(sk1,X1)) | distinct_points(X0,X1) | distinct_points(sk0,X1), inference(resolution, [status(thm)], [c7, p21])).
% 22.25/8.41 cnf(p637, plain, ~apart_point_and_line(sk0,line_connecting(sk1,X0)) | distinct_points(sk0,X0), inference(factoring, [status(thm)], [p77])).
% 22.25/8.41 cnf(p698, plain, (distinct_points(sk0,sk0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,X0)) | distinct_points(sk0,X0) | ~spl0), inference(resolution, [status(thm)], [p156, p637])).
% 22.25/8.41 fof(sdef13, definition, (spl13 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,X0)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl13])], [avatar_definition])).
% 22.25/8.41 cnf(ssp10, plain, (~spl0 | spl11 | spl13), inference(avatar_split_clause, [status(thm)], [p698, sdef11, sdef13])).
% 22.25/8.41 cnf(p71, plain, (distinct_points(sk0,X0) | distinct_points(sk2,X0) | ~spl0), inference(resolution, [status(thm)], [p69, c3])).
% 22.25/8.41 cnf(p103, plain, (distinct_points(sk0,X0) | ~apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p71, c7])).
% 22.25/8.41 cnf(p640, plain, (distinct_points(sk0,X0) | ~apart_point_and_line(sk0,line_connecting(sk2,X0)) | ~spl0), inference(factoring, [status(thm)], [p103])).
% 22.25/8.41 cnf(p702, plain, (distinct_points(sk0,sk0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk2,X0)) | distinct_points(sk0,X0) | ~spl0), inference(resolution, [status(thm)], [p156, p640])).
% 22.25/8.41 fof(sdef14, definition, (spl14 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk2,X0)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl14])], [avatar_definition])).
% 22.25/8.41 cnf(ssp11, plain, (~spl0 | spl11 | spl14), inference(avatar_split_clause, [status(thm)], [p702, sdef11, sdef14])).
% 22.25/8.41 cnf(p109, plain, (distinct_points(sk0,X0) | distinct_points(sk3,X0) | ~spl0), inference(resolution, [status(thm)], [p107, c3])).
% 22.25/8.41 cnf(p117, plain, (distinct_points(sk0,X0) | ~apart_point_and_line(X1,line_connecting(sk3,X0)) | distinct_points(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p109, c7])).
% 22.25/8.41 cnf(p643, plain, (distinct_points(sk0,X0) | ~apart_point_and_line(sk0,line_connecting(sk3,X0)) | ~spl0), inference(factoring, [status(thm)], [p117])).
% 22.25/8.41 cnf(p706, plain, (distinct_points(sk0,sk0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk3,X0)) | distinct_points(sk0,X0) | ~spl0), inference(resolution, [status(thm)], [p156, p643])).
% 22.25/8.41 fof(sdef15, definition, (spl15 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk3,X0)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl15])], [avatar_definition])).
% 22.25/8.41 cnf(ssp12, plain, (~spl0 | spl11 | spl15), inference(avatar_split_clause, [status(thm)], [p706, sdef11, sdef15])).
% 22.25/8.41 cnf(p60, plain, ~apart_point_and_line(X0,line_connecting(sk0,X1)) | distinct_points(X0,sk0) | distinct_points(X2,sk1) | distinct_points(X2,X1), inference(resolution, [status(thm)], [c6, p29])).
% 22.25/8.41 cnf(p708, plain, (distinct_points(sk0,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X1)) | distinct_points(X0,sk0) | distinct_points(X2,sk1) | distinct_points(X2,X1) | ~spl0), inference(resolution, [status(thm)], [p156, p60])).
% 22.25/8.41 fof(sdef16, definition, (spl16 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X0)) | distinct_points(X1,sk1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl16])], [avatar_definition])).
% 22.25/8.41 cnf(ssp13, plain, (~spl0 | spl2 | spl16), inference(avatar_split_clause, [status(thm)], [p708, sdef2, sdef16])).
% 22.25/8.41 cnf(p158, plain, (distinct_points(X0,sk2) | ~apart_point_and_line(X1,line_connecting(sk0,X0)) | distinct_points(X1,sk0) | ~spl0), inference(resolution, [status(thm)], [p153, c6])).
% 22.25/8.41 cnf(p824, plain, (distinct_points(X0,sk2) | distinct_points(X1,sk0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X0)) | ~spl0), inference(resolution, [status(thm)], [p158, p156])).
% 22.25/8.41 fof(sdef17, definition, (spl17 <=> (distinct_points(X0,sk2) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X0)))), introduced(definition, [new_symbols(naming, [spl17])], [avatar_definition])).
% 22.25/8.41 cnf(ssp14, plain, (~spl0 | spl2 | spl17), inference(avatar_split_clause, [status(thm)], [p824, sdef2, sdef17])).
% 22.25/8.41 cnf(p159, plain, (distinct_points(sk0,X0) | ~apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p153, c6])).
% 22.25/8.41 cnf(p827, plain, (distinct_points(sk0,X0) | ~apart_point_and_line(sk0,line_connecting(X0,sk2)) | ~spl0), inference(factoring, [status(thm)], [p159])).
% 22.25/8.41 cnf(p829, plain, (distinct_points(sk0,X0) | distinct_points(sk0,sk0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk2)) | ~spl0), inference(resolution, [status(thm)], [p827, p156])).
% 22.25/8.41 fof(sdef18, definition, (spl18 <=> (distinct_points(sk0,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk2)))), introduced(definition, [new_symbols(naming, [spl18])], [avatar_definition])).
% 22.25/8.41 cnf(ssp15, plain, (~spl0 | spl11 | spl18), inference(avatar_split_clause, [status(thm)], [p829, sdef11, sdef18])).
% 22.25/8.41 cnf(p164, plain, (distinct_points(X0,sk3) | ~apart_point_and_line(X1,line_connecting(sk0,X0)) | distinct_points(X1,sk0) | ~spl0), inference(resolution, [status(thm)], [p154, c6])).
% 22.25/8.41 cnf(p833, plain, (distinct_points(X0,sk3) | distinct_points(X1,sk0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X0)) | ~spl0), inference(resolution, [status(thm)], [p164, p156])).
% 22.25/8.41 fof(sdef19, definition, (spl19 <=> (distinct_points(X0,sk3) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X0)))), introduced(definition, [new_symbols(naming, [spl19])], [avatar_definition])).
% 22.25/8.41 cnf(ssp16, plain, (~spl0 | spl2 | spl19), inference(avatar_split_clause, [status(thm)], [p833, sdef2, sdef19])).
% 22.25/8.41 cnf(p165, plain, (distinct_points(sk0,X0) | ~apart_point_and_line(X1,line_connecting(X0,sk3)) | distinct_points(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p154, c6])).
% 22.25/8.41 cnf(p838, plain, (distinct_points(sk0,X0) | ~apart_point_and_line(sk0,line_connecting(X0,sk3)) | ~spl0), inference(factoring, [status(thm)], [p165])).
% 22.25/8.41 cnf(p840, plain, (distinct_points(sk0,X0) | distinct_points(sk0,sk0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk3)) | ~spl0), inference(resolution, [status(thm)], [p838, p156])).
% 22.25/8.41 fof(sdef20, definition, (spl20 <=> (distinct_points(sk0,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk3)))), introduced(definition, [new_symbols(naming, [spl20])], [avatar_definition])).
% 22.25/8.41 cnf(ssp17, plain, (~spl0 | spl11 | spl20), inference(avatar_split_clause, [status(thm)], [p840, sdef11, sdef20])).
% 22.25/8.41 fof(f8, axiom, ! [X,Y,U,V] : ( ( distinct_points(X,Y) & distinct_lines(U,V) ) => ( apart_point_and_line(X,U) | apart_point_and_line(X,V) | apart_point_and_line(Y,U) | apart_point_and_line(Y,V) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cu1)).
% 22.25/8.41 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])).
% 22.25/8.41 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])).
% 22.25/8.41 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])).
% 22.25/8.41 cnf(p121, 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])).
% 22.25/8.41 cnf(p687, plain, (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk3,sk0)) | ~spl8), inference(avatar_component_clause, [status(thm)], [sdef8])).
% 22.25/8.41 fof(f4, axiom, ! [X,Y,Z] : ( distinct_lines(X,Y) => ( distinct_lines(X,Z) | distinct_lines(Y,Z) ) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', apart5)).
% 22.25/8.41 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])).
% 22.25/8.41 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])).
% 22.25/8.41 cnf(c4, plain, ~distinct_lines(X0,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(cnf_transformation, [status(esa)], [f4_sk])).
% 22.25/8.41 cnf(p726, plain, (distinct_lines(line_connecting(sk2,sk3),X0) | distinct_lines(line_connecting(sk3,sk0),X0) | ~spl8), inference(resolution, [status(thm)], [p687, c4])).
% 22.25/8.41 cnf(p909, plain, (apart_point_and_line(sk0,line_connecting(sk3,sk0)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk3,sk0)) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk2,sk3),X0) | ~spl8), inference(resolution, [status(thm)], [p121, p726])).
% 22.25/8.41 fof(sdef22, definition, (spl22 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0) | distinct_lines(line_connecting(sk2,sk3),X0))), introduced(definition, [new_symbols(naming, [spl22])], [avatar_definition])).
% 22.25/8.41 fof(sdef23, definition, (spl23 <=> (apart_point_and_line(sk1,line_connecting(sk3,sk0)))), introduced(definition, [new_symbols(naming, [spl23])], [avatar_definition])).
% 22.25/8.41 cnf(ssp18, plain, (~spl8 | spl21 | spl22 | spl23), inference(avatar_split_clause, [status(thm)], [p909, sdef21, sdef22, sdef23])).
% 22.25/8.41 cnf(p22, plain, distinct_points(sk2,X0) | distinct_points(sk3,X0), inference(resolution, [status(thm)], [c3, c15])).
% 22.25/8.41 cnf(p78, plain, ~apart_point_and_line(X0,line_connecting(sk3,X1)) | distinct_points(X0,X1) | distinct_points(sk2,X1), inference(resolution, [status(thm)], [c7, p22])).
% 22.25/8.41 cnf(p916, plain, (distinct_points(sk0,sk0) | distinct_points(sk2,sk0) | ~spl21), inference(resolution, [status(thm)], [p910, p78])).
% 22.25/8.41 fof(sdef24, definition, (spl24 <=> (distinct_points(sk2,sk0))), introduced(definition, [new_symbols(naming, [spl24])], [avatar_definition])).
% 22.25/8.41 cnf(ssp19, plain, (~spl21 | spl11 | spl24), inference(avatar_split_clause, [status(thm)], [p916, sdef11, sdef24])).
% 22.25/8.41 cnf(p24, plain, distinct_points(sk2,X0) | distinct_points(sk3,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p22, c3])).
% 22.25/8.41 cnf(p85, plain, ~apart_point_and_line(X0,line_connecting(sk3,X1)) | distinct_points(X0,X1) | distinct_points(sk2,X2) | distinct_points(X2,X1), inference(resolution, [status(thm)], [c7, p24])).
% 22.25/8.41 cnf(p918, plain, (distinct_points(sk0,sk0) | distinct_points(sk2,X0) | distinct_points(X0,sk0) | ~spl21), inference(resolution, [status(thm)], [p910, p85])).
% 22.25/8.41 fof(sdef25, definition, (spl25 <=> (distinct_points(sk2,X0) | distinct_points(X0,sk0))), introduced(definition, [new_symbols(naming, [spl25])], [avatar_definition])).
% 22.25/8.41 cnf(ssp20, plain, (~spl21 | spl11 | spl25), inference(avatar_split_clause, [status(thm)], [p918, sdef11, sdef25])).
% 22.25/8.41 cnf(p91, plain, ~apart_point_and_line(X0,line_connecting(X1,X2)) | distinct_points(X0,X2) | distinct_points(X1,sk1) | distinct_points(sk0,X2), inference(resolution, [status(thm)], [c7, p29])).
% 22.25/8.41 cnf(p921, plain, (distinct_points(sk0,sk0) | distinct_points(sk3,sk1) | distinct_points(sk0,sk0) | ~spl21), inference(resolution, [status(thm)], [p910, p91])).
% 22.25/8.41 fof(sdef26, definition, (spl26 <=> (distinct_points(sk3,sk1))), introduced(definition, [new_symbols(naming, [spl26])], [avatar_definition])).
% 22.25/8.41 cnf(ssp21, plain, (~spl21 | spl11 | spl26), inference(avatar_split_clause, [status(thm)], [p921, sdef11, sdef26])).
% 22.25/8.41 cnf(p122, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,X1) | apart_point_and_line(sk3,X0) | apart_point_and_line(sk3,X1), inference(resolution, [status(thm)], [c10, c15])).
% 22.25/8.41 cnf(p151, plain, (distinct_lines(line_connecting(sk2,sk3),X0) | apart_point_and_line(sk0,X0) | ~spl0), inference(resolution, [status(thm)], [c12, p17])).
% 22.25/8.41 cnf(p932, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X0) | apart_point_and_line(sk0,X0) | ~spl0), inference(resolution, [status(thm)], [p122, p151])).
% 22.25/8.41 fof(sdef28, definition, (spl28 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(sk3,X0) | apart_point_and_line(sk0,X0))), introduced(definition, [new_symbols(naming, [spl28])], [avatar_definition])).
% 22.25/8.41 cnf(ssp22, plain, (~spl0 | spl27 | spl28 | spl29), inference(avatar_split_clause, [status(thm)], [p932, sdef27, sdef28, sdef29])).
% 22.25/8.41 cnf(p18, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | ~spl1), inference(avatar_component_clause, [status(thm)], [sdef1])).
% 22.25/8.41 cnf(p152, plain, (distinct_lines(line_connecting(sk2,sk3),X0) | apart_point_and_line(sk1,X0) | ~spl1), inference(resolution, [status(thm)], [c12, p18])).
% 22.25/8.41 cnf(p936, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X0) | apart_point_and_line(sk1,X0) | ~spl1), inference(resolution, [status(thm)], [p122, p152])).
% 22.25/8.41 fof(sdef30, definition, (spl30 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(sk3,X0) | apart_point_and_line(sk1,X0))), introduced(definition, [new_symbols(naming, [spl30])], [avatar_definition])).
% 22.25/8.41 cnf(ssp23, plain, (~spl1 | spl27 | spl29 | spl30), inference(avatar_split_clause, [status(thm)], [p936, sdef27, sdef29, sdef30])).
% 22.25/8.41 cnf(p938, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X0) | distinct_points(sk0,X1) | apart_point_and_line(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p122, p156])).
% 22.25/8.41 fof(sdef31, definition, (spl31 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(sk3,X0) | distinct_points(sk0,X1) | apart_point_and_line(X1,X0))), introduced(definition, [new_symbols(naming, [spl31])], [avatar_definition])).
% 22.25/8.41 cnf(ssp24, plain, (~spl0 | spl27 | spl29 | spl31), inference(avatar_split_clause, [status(thm)], [p938, sdef27, sdef29, sdef31])).
% 22.25/8.41 cnf(p676, plain, (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,sk1)) | ~spl3), inference(avatar_component_clause, [status(thm)], [sdef3])).
% 22.25/8.41 cnf(p940, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,line_connecting(sk0,sk1)) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk0,sk1)) | ~spl3), inference(resolution, [status(thm)], [p122, p676])).
% 22.25/8.41 cnf(ssp25, plain, (~spl3 | spl27 | spl29 | spl32 | spl33), inference(avatar_split_clause, [status(thm)], [p940, sdef27, sdef29, sdef32, sdef33])).
% 22.25/8.41 cnf(p678, plain, (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,sk2)) | ~spl4), inference(avatar_component_clause, [status(thm)], [sdef4])).
% 22.25/8.41 cnf(p943, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,line_connecting(sk0,sk2)) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk0,sk2)) | ~spl4), inference(resolution, [status(thm)], [p122, p678])).
% 22.25/8.41 fof(sdef34, definition, (spl34 <=> (apart_point_and_line(sk2,line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl34])], [avatar_definition])).
% 22.25/8.41 fof(sdef35, definition, (spl35 <=> (apart_point_and_line(sk3,line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl35])], [avatar_definition])).
% 22.25/8.41 cnf(ssp26, plain, (~spl4 | spl27 | spl29 | spl34 | spl35), inference(avatar_split_clause, [status(thm)], [p943, sdef27, sdef29, sdef34, sdef35])).
% 22.25/8.41 cnf(p680, plain, (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,sk0)) | ~spl5), inference(avatar_component_clause, [status(thm)], [sdef5])).
% 22.25/8.41 cnf(p946, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,line_connecting(sk1,sk0)) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk1,sk0)) | ~spl5), inference(resolution, [status(thm)], [p122, p680])).
% 22.25/8.41 fof(sdef36, definition, (spl36 <=> (apart_point_and_line(sk2,line_connecting(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl36])], [avatar_definition])).
% 22.25/8.41 fof(sdef37, definition, (spl37 <=> (apart_point_and_line(sk3,line_connecting(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl37])], [avatar_definition])).
% 22.25/8.41 cnf(ssp27, plain, (~spl5 | spl27 | spl29 | spl36 | spl37), inference(avatar_split_clause, [status(thm)], [p946, sdef27, sdef29, sdef36, sdef37])).
% 22.25/8.41 cnf(p682, plain, (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,sk3)) | ~spl6), inference(avatar_component_clause, [status(thm)], [sdef6])).
% 22.25/8.41 cnf(p949, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,line_connecting(sk0,sk3)) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk0,sk3)) | ~spl6), inference(resolution, [status(thm)], [p122, p682])).
% 22.25/8.41 fof(sdef38, definition, (spl38 <=> (apart_point_and_line(sk2,line_connecting(sk0,sk3)))), introduced(definition, [new_symbols(naming, [spl38])], [avatar_definition])).
% 22.25/8.41 fof(sdef39, definition, (spl39 <=> (apart_point_and_line(sk3,line_connecting(sk0,sk3)))), introduced(definition, [new_symbols(naming, [spl39])], [avatar_definition])).
% 22.25/8.41 cnf(ssp28, plain, (~spl6 | spl27 | spl29 | spl38 | spl39), inference(avatar_split_clause, [status(thm)], [p949, sdef27, sdef29, sdef38, sdef39])).
% 22.25/8.41 cnf(p685, plain, (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk2,sk0)) | ~spl7), inference(avatar_component_clause, [status(thm)], [sdef7])).
% 22.25/8.41 cnf(p952, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,line_connecting(sk2,sk0)) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk2,sk0)) | ~spl7), inference(resolution, [status(thm)], [p122, p685])).
% 22.25/8.41 fof(sdef40, definition, (spl40 <=> (apart_point_and_line(sk2,line_connecting(sk2,sk0)))), introduced(definition, [new_symbols(naming, [spl40])], [avatar_definition])).
% 22.25/8.41 fof(sdef41, definition, (spl41 <=> (apart_point_and_line(sk3,line_connecting(sk2,sk0)))), introduced(definition, [new_symbols(naming, [spl41])], [avatar_definition])).
% 22.25/8.41 cnf(ssp29, plain, (~spl7 | spl27 | spl29 | spl40 | spl41), inference(avatar_split_clause, [status(thm)], [p952, sdef27, sdef29, sdef40, sdef41])).
% 22.25/8.41 cnf(p955, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,line_connecting(sk3,sk0)) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk3,sk0)) | ~spl8), inference(resolution, [status(thm)], [p122, p687])).
% 22.25/8.41 fof(sdef42, definition, (spl42 <=> (apart_point_and_line(sk2,line_connecting(sk3,sk0)))), introduced(definition, [new_symbols(naming, [spl42])], [avatar_definition])).
% 22.25/8.41 fof(sdef43, definition, (spl43 <=> (apart_point_and_line(sk3,line_connecting(sk3,sk0)))), introduced(definition, [new_symbols(naming, [spl43])], [avatar_definition])).
% 22.25/8.41 cnf(ssp30, plain, (~spl8 | spl27 | spl29 | spl42 | spl43), inference(avatar_split_clause, [status(thm)], [p955, sdef27, sdef29, sdef42, sdef43])).
% 22.25/8.41 cnf(p689, plain, (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X0)) | distinct_points(X0,sk1) | ~spl9), inference(avatar_component_clause, [status(thm)], [sdef9])).
% 22.25/8.41 cnf(p958, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,line_connecting(sk0,X0)) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk0,X0)) | distinct_points(X0,sk1) | ~spl9), inference(resolution, [status(thm)], [p122, p689])).
% 22.25/8.41 fof(sdef44, definition, (spl44 <=> (apart_point_and_line(sk2,line_connecting(sk0,X0)) | apart_point_and_line(sk3,line_connecting(sk0,X0)) | distinct_points(X0,sk1))), introduced(definition, [new_symbols(naming, [spl44])], [avatar_definition])).
% 22.25/8.41 cnf(ssp31, plain, (~spl9 | spl27 | spl29 | spl44), inference(avatar_split_clause, [status(thm)], [p958, sdef27, sdef29, sdef44])).
% 22.25/8.41 cnf(p695, plain, (distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk1)) | distinct_points(sk0,X0) | ~spl12), inference(avatar_component_clause, [status(thm)], [sdef12])).
% 22.25/8.41 cnf(p960, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,line_connecting(X0,sk1)) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(X0,sk1)) | distinct_points(sk0,X0) | ~spl12), inference(resolution, [status(thm)], [p122, p695])).
% 22.25/8.41 fof(sdef45, definition, (spl45 <=> (apart_point_and_line(sk2,line_connecting(X0,sk1)) | apart_point_and_line(sk3,line_connecting(X0,sk1)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl45])], [avatar_definition])).
% 22.25/8.41 cnf(ssp32, plain, (~spl12 | spl27 | spl29 | spl45), inference(avatar_split_clause, [status(thm)], [p960, sdef27, sdef29, sdef45])).
% 22.25/8.41 cnf(p699, plain, (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,X0)) | distinct_points(sk0,X0) | ~spl13), inference(avatar_component_clause, [status(thm)], [sdef13])).
% 22.25/8.41 cnf(p962, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,line_connecting(sk1,X0)) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk1,X0)) | distinct_points(sk0,X0) | ~spl13), inference(resolution, [status(thm)], [p122, p699])).
% 22.25/8.41 fof(sdef46, definition, (spl46 <=> (apart_point_and_line(sk2,line_connecting(sk1,X0)) | apart_point_and_line(sk3,line_connecting(sk1,X0)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl46])], [avatar_definition])).
% 22.25/8.41 cnf(ssp33, plain, (~spl13 | spl27 | spl29 | spl46), inference(avatar_split_clause, [status(thm)], [p962, sdef27, sdef29, sdef46])).
% 22.25/8.41 cnf(p703, plain, (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk2,X0)) | distinct_points(sk0,X0) | ~spl14), inference(avatar_component_clause, [status(thm)], [sdef14])).
% 22.25/8.41 cnf(p964, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,line_connecting(sk2,X0)) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk2,X0)) | distinct_points(sk0,X0) | ~spl14), inference(resolution, [status(thm)], [p122, p703])).
% 22.25/8.41 fof(sdef47, definition, (spl47 <=> (apart_point_and_line(sk2,line_connecting(sk2,X0)) | apart_point_and_line(sk3,line_connecting(sk2,X0)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl47])], [avatar_definition])).
% 22.25/8.41 cnf(ssp34, plain, (~spl14 | spl27 | spl29 | spl47), inference(avatar_split_clause, [status(thm)], [p964, sdef27, sdef29, sdef47])).
% 22.25/8.41 cnf(p707, plain, (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk3,X0)) | distinct_points(sk0,X0) | ~spl15), inference(avatar_component_clause, [status(thm)], [sdef15])).
% 22.25/8.41 cnf(p966, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,line_connecting(sk3,X0)) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk3,X0)) | distinct_points(sk0,X0) | ~spl15), inference(resolution, [status(thm)], [p122, p707])).
% 22.25/8.41 fof(sdef48, definition, (spl48 <=> (apart_point_and_line(sk2,line_connecting(sk3,X0)) | apart_point_and_line(sk3,line_connecting(sk3,X0)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl48])], [avatar_definition])).
% 22.25/8.41 cnf(ssp35, plain, (~spl15 | spl27 | spl29 | spl48), inference(avatar_split_clause, [status(thm)], [p966, sdef27, sdef29, sdef48])).
% 22.25/8.41 cnf(p721, plain, (distinct_lines(line_connecting(sk2,sk3),X0) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl3), inference(resolution, [status(thm)], [p676, c4])).
% 22.25/8.41 cnf(p968, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X0) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl3), inference(resolution, [status(thm)], [p122, p721])).
% 22.25/8.41 fof(sdef49, definition, (spl49 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(sk3,X0) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl49])], [avatar_definition])).
% 22.25/8.41 cnf(ssp36, plain, (~spl3 | spl27 | spl29 | spl49), inference(avatar_split_clause, [status(thm)], [p968, sdef27, sdef29, sdef49])).
% 22.25/8.41 cnf(p722, plain, (distinct_lines(line_connecting(sk2,sk3),X0) | distinct_lines(line_connecting(sk0,sk2),X0) | ~spl4), inference(resolution, [status(thm)], [p678, c4])).
% 22.25/8.41 cnf(p970, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X0) | distinct_lines(line_connecting(sk0,sk2),X0) | ~spl4), inference(resolution, [status(thm)], [p122, p722])).
% 22.25/8.41 fof(sdef50, definition, (spl50 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(sk3,X0) | distinct_lines(line_connecting(sk0,sk2),X0))), introduced(definition, [new_symbols(naming, [spl50])], [avatar_definition])).
% 22.25/8.41 cnf(ssp37, plain, (~spl4 | spl27 | spl29 | spl50), inference(avatar_split_clause, [status(thm)], [p970, sdef27, sdef29, sdef50])).
% 22.25/8.41 cnf(p723, plain, (distinct_lines(line_connecting(sk2,sk3),X0) | distinct_lines(line_connecting(sk1,sk0),X0) | ~spl5), inference(resolution, [status(thm)], [p680, c4])).
% 22.25/8.41 cnf(p972, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X0) | distinct_lines(line_connecting(sk1,sk0),X0) | ~spl5), inference(resolution, [status(thm)], [p122, p723])).
% 22.25/8.41 fof(sdef51, definition, (spl51 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(sk3,X0) | distinct_lines(line_connecting(sk1,sk0),X0))), introduced(definition, [new_symbols(naming, [spl51])], [avatar_definition])).
% 22.25/8.41 cnf(ssp38, plain, (~spl5 | spl27 | spl29 | spl51), inference(avatar_split_clause, [status(thm)], [p972, sdef27, sdef29, sdef51])).
% 22.25/8.41 cnf(p724, plain, (distinct_lines(line_connecting(sk2,sk3),X0) | distinct_lines(line_connecting(sk0,sk3),X0) | ~spl6), inference(resolution, [status(thm)], [p682, c4])).
% 22.25/8.41 cnf(p974, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X0) | distinct_lines(line_connecting(sk0,sk3),X0) | ~spl6), inference(resolution, [status(thm)], [p122, p724])).
% 22.25/8.41 fof(sdef52, definition, (spl52 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(sk3,X0) | distinct_lines(line_connecting(sk0,sk3),X0))), introduced(definition, [new_symbols(naming, [spl52])], [avatar_definition])).
% 22.25/8.41 cnf(ssp39, plain, (~spl6 | spl27 | spl29 | spl52), inference(avatar_split_clause, [status(thm)], [p974, sdef27, sdef29, sdef52])).
% 22.25/8.41 cnf(p725, plain, (distinct_lines(line_connecting(sk2,sk3),X0) | distinct_lines(line_connecting(sk2,sk0),X0) | ~spl7), inference(resolution, [status(thm)], [p685, c4])).
% 22.25/8.41 cnf(p976, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X0) | distinct_lines(line_connecting(sk2,sk0),X0) | ~spl7), inference(resolution, [status(thm)], [p122, p725])).
% 22.25/8.41 fof(sdef53, definition, (spl53 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(sk3,X0) | distinct_lines(line_connecting(sk2,sk0),X0))), introduced(definition, [new_symbols(naming, [spl53])], [avatar_definition])).
% 22.25/8.41 cnf(ssp40, plain, (~spl7 | spl27 | spl29 | spl53), inference(avatar_split_clause, [status(thm)], [p976, sdef27, sdef29, sdef53])).
% 22.25/8.41 cnf(p978, plain, (apart_point_and_line(sk2,line_connecting(sk3,sk0)) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk3,line_connecting(sk3,sk0)) | apart_point_and_line(sk3,X0) | distinct_lines(line_connecting(sk2,sk3),X0) | ~spl8), inference(resolution, [status(thm)], [p122, p726])).
% 22.25/8.41 fof(sdef54, definition, (spl54 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(sk3,X0) | distinct_lines(line_connecting(sk2,sk3),X0))), introduced(definition, [new_symbols(naming, [spl54])], [avatar_definition])).
% 22.25/8.41 cnf(ssp41, plain, (~spl8 | spl42 | spl43 | spl54), inference(avatar_split_clause, [status(thm)], [p978, sdef42, sdef43, sdef54])).
% 22.25/8.41 cnf(p825, plain, (distinct_points(X0,sk2) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X0)) | ~spl17), inference(avatar_component_clause, [status(thm)], [sdef17])).
% 22.25/8.41 cnf(p980, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,line_connecting(sk0,X0)) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk0,X0)) | distinct_points(X0,sk2) | ~spl17), inference(resolution, [status(thm)], [p122, p825])).
% 22.25/8.41 fof(sdef55, definition, (spl55 <=> (apart_point_and_line(sk2,line_connecting(sk0,X0)) | apart_point_and_line(sk3,line_connecting(sk0,X0)) | distinct_points(X0,sk2))), introduced(definition, [new_symbols(naming, [spl55])], [avatar_definition])).
% 22.25/8.41 cnf(ssp42, plain, (~spl17 | spl27 | spl29 | spl55), inference(avatar_split_clause, [status(thm)], [p980, sdef27, sdef29, sdef55])).
% 22.25/8.41 cnf(p830, plain, (distinct_points(sk0,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk2)) | ~spl18), inference(avatar_component_clause, [status(thm)], [sdef18])).
% 22.25/8.41 cnf(p982, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,line_connecting(X0,sk2)) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(X0,sk2)) | distinct_points(sk0,X0) | ~spl18), inference(resolution, [status(thm)], [p122, p830])).
% 22.25/8.41 fof(sdef56, definition, (spl56 <=> (apart_point_and_line(sk2,line_connecting(X0,sk2)) | apart_point_and_line(sk3,line_connecting(X0,sk2)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl56])], [avatar_definition])).
% 22.25/8.41 cnf(ssp43, plain, (~spl18 | spl27 | spl29 | spl56), inference(avatar_split_clause, [status(thm)], [p982, sdef27, sdef29, sdef56])).
% 22.25/8.41 cnf(p834, plain, (distinct_points(X0,sk3) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X0)) | ~spl19), inference(avatar_component_clause, [status(thm)], [sdef19])).
% 22.25/8.41 cnf(p984, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,line_connecting(sk0,X0)) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk0,X0)) | distinct_points(X0,sk3) | ~spl19), inference(resolution, [status(thm)], [p122, p834])).
% 22.25/8.41 fof(sdef57, definition, (spl57 <=> (apart_point_and_line(sk2,line_connecting(sk0,X0)) | apart_point_and_line(sk3,line_connecting(sk0,X0)) | distinct_points(X0,sk3))), introduced(definition, [new_symbols(naming, [spl57])], [avatar_definition])).
% 22.25/8.41 cnf(ssp44, plain, (~spl19 | spl27 | spl29 | spl57), inference(avatar_split_clause, [status(thm)], [p984, sdef27, sdef29, sdef57])).
% 22.25/8.41 cnf(p841, plain, (distinct_points(sk0,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk3)) | ~spl20), inference(avatar_component_clause, [status(thm)], [sdef20])).
% 22.25/8.41 cnf(p986, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,line_connecting(X0,sk3)) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(X0,sk3)) | distinct_points(sk0,X0) | ~spl20), inference(resolution, [status(thm)], [p122, p841])).
% 22.25/8.41 fof(sdef58, definition, (spl58 <=> (apart_point_and_line(sk2,line_connecting(X0,sk3)) | apart_point_and_line(sk3,line_connecting(X0,sk3)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl58])], [avatar_definition])).
% 22.25/8.41 cnf(ssp45, plain, (~spl20 | spl27 | spl29 | spl58), inference(avatar_split_clause, [status(thm)], [p986, sdef27, sdef29, sdef58])).
% 22.25/8.41 cnf(p912, plain, (apart_point_and_line(sk1,line_connecting(sk3,sk0)) | ~spl23), inference(avatar_component_clause, [status(thm)], [sdef23])).
% 22.25/8.41 cnf(p48, plain, ~apart_point_and_line(X0,line_connecting(sk3,X1)) | distinct_points(X0,sk3) | distinct_points(sk2,X1), inference(resolution, [status(thm)], [c6, p22])).
% 22.25/8.41 cnf(p991, plain, (distinct_points(sk1,sk3) | distinct_points(sk2,sk0) | ~spl23), inference(resolution, [status(thm)], [p912, p48])).
% 22.25/8.41 fof(sdef59, definition, (spl59 <=> (distinct_points(sk1,sk3))), introduced(definition, [new_symbols(naming, [spl59])], [avatar_definition])).
% 22.25/8.41 cnf(ssp46, plain, (~spl23 | spl24 | spl59), inference(avatar_split_clause, [status(thm)], [p991, sdef24, sdef59])).
% 22.25/8.41 cnf(p55, plain, ~apart_point_and_line(X0,line_connecting(sk3,X1)) | distinct_points(X0,sk3) | distinct_points(sk2,X2) | distinct_points(X2,X1), inference(resolution, [status(thm)], [c6, p24])).
% 22.25/8.41 cnf(p993, plain, (distinct_points(sk1,sk3) | distinct_points(sk2,X0) | distinct_points(X0,sk0) | ~spl23), inference(resolution, [status(thm)], [p912, p55])).
% 22.25/8.41 cnf(ssp47, plain, (~spl23 | spl25 | spl59), inference(avatar_split_clause, [status(thm)], [p993, sdef25, sdef59])).
% 22.25/8.41 cnf(p61, plain, ~apart_point_and_line(X0,line_connecting(X1,X2)) | distinct_points(X0,X1) | distinct_points(X1,sk1) | distinct_points(sk0,X2), inference(resolution, [status(thm)], [c6, p29])).
% 22.25/8.41 cnf(p994, plain, (distinct_points(sk1,sk3) | distinct_points(sk3,sk1) | distinct_points(sk0,sk0) | ~spl23), inference(resolution, [status(thm)], [p912, p61])).
% 22.25/8.41 cnf(ssp48, plain, (~spl23 | spl11 | spl26 | spl59), inference(avatar_split_clause, [status(thm)], [p994, sdef11, sdef26, sdef59])).
% 22.25/8.41 cnf(p123, 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, p21])).
% 22.25/8.41 cnf(p1008, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | distinct_points(sk0,X0) | ~spl3), inference(resolution, [status(thm)], [p123, p676])).
% 22.25/8.41 fof(sdef61, definition, (spl61 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl61])], [avatar_definition])).
% 22.25/8.41 cnf(ssp49, plain, (~spl3 | spl1 | spl60 | spl61), inference(avatar_split_clause, [status(thm)], [p1008, sdef1, sdef60, sdef61])).
% 22.25/8.41 cnf(p1011, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,line_connecting(sk0,sk2)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk0,X0) | ~spl4), inference(resolution, [status(thm)], [p123, p678])).
% 22.25/8.41 fof(sdef62, definition, (spl62 <=> (apart_point_and_line(sk1,line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl62])], [avatar_definition])).
% 22.25/8.41 fof(sdef63, definition, (spl63 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl63])], [avatar_definition])).
% 22.25/8.41 cnf(ssp50, plain, (~spl4 | spl1 | spl62 | spl63), inference(avatar_split_clause, [status(thm)], [p1011, sdef1, sdef62, sdef63])).
% 22.25/8.41 cnf(p1014, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(sk0,X0) | ~spl5), inference(resolution, [status(thm)], [p123, p680])).
% 22.25/8.41 fof(sdef65, definition, (spl65 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl65])], [avatar_definition])).
% 22.25/8.41 cnf(ssp51, plain, (~spl5 | spl1 | spl64 | spl65), inference(avatar_split_clause, [status(thm)], [p1014, sdef1, sdef64, sdef65])).
% 22.25/8.41 cnf(p1017, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,line_connecting(sk0,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk0,sk3)) | distinct_points(sk0,X0) | ~spl6), inference(resolution, [status(thm)], [p123, p682])).
% 22.25/8.41 fof(sdef66, definition, (spl66 <=> (apart_point_and_line(sk1,line_connecting(sk0,sk3)))), introduced(definition, [new_symbols(naming, [spl66])], [avatar_definition])).
% 22.25/8.41 fof(sdef67, definition, (spl67 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk0,sk3)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl67])], [avatar_definition])).
% 22.25/8.41 cnf(ssp52, plain, (~spl6 | spl1 | spl66 | spl67), inference(avatar_split_clause, [status(thm)], [p1017, sdef1, sdef66, sdef67])).
% 22.25/8.41 cnf(p1020, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,line_connecting(sk2,sk0)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk0,X0) | ~spl7), inference(resolution, [status(thm)], [p123, p685])).
% 22.25/8.41 fof(sdef68, definition, (spl68 <=> (apart_point_and_line(sk1,line_connecting(sk2,sk0)))), introduced(definition, [new_symbols(naming, [spl68])], [avatar_definition])).
% 22.25/8.41 fof(sdef69, definition, (spl69 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl69])], [avatar_definition])).
% 22.25/8.41 cnf(ssp53, plain, (~spl7 | spl1 | spl68 | spl69), inference(avatar_split_clause, [status(thm)], [p1020, sdef1, sdef68, sdef69])).
% 22.25/8.41 cnf(p1023, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,line_connecting(sk3,sk0)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | distinct_points(sk0,X0) | ~spl8), inference(resolution, [status(thm)], [p123, p687])).
% 22.25/8.41 fof(sdef70, definition, (spl70 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl70])], [avatar_definition])).
% 22.25/8.41 cnf(ssp54, plain, (~spl8 | spl1 | spl23 | spl70), inference(avatar_split_clause, [status(thm)], [p1023, sdef1, sdef23, sdef70])).
% 22.25/8.41 cnf(p1025, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,line_connecting(sk0,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk0,X0)) | distinct_points(sk0,X1) | distinct_points(X0,sk1) | ~spl9), inference(resolution, [status(thm)], [p123, p689])).
% 22.25/8.41 fof(sdef71, definition, (spl71 <=> (apart_point_and_line(sk1,line_connecting(sk0,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk0,X0)) | distinct_points(sk0,X1) | distinct_points(X0,sk1))), introduced(definition, [new_symbols(naming, [spl71])], [avatar_definition])).
% 22.25/8.41 cnf(ssp55, plain, (~spl9 | spl1 | spl71), inference(avatar_split_clause, [status(thm)], [p1025, sdef1, sdef71])).
% 22.25/8.41 cnf(p1027, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,line_connecting(X0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(X0,sk1)) | distinct_points(sk0,X1) | distinct_points(sk0,X0) | ~spl12), inference(resolution, [status(thm)], [p123, p695])).
% 22.25/8.41 fof(sdef72, definition, (spl72 <=> (apart_point_and_line(sk1,line_connecting(X0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(X0,sk1)) | distinct_points(sk0,X1) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl72])], [avatar_definition])).
% 22.25/8.41 cnf(ssp56, plain, (~spl12 | spl1 | spl72), inference(avatar_split_clause, [status(thm)], [p1027, sdef1, sdef72])).
% 22.25/8.41 cnf(p1029, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,line_connecting(sk1,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk1,X0)) | distinct_points(sk0,X1) | distinct_points(sk0,X0) | ~spl13), inference(resolution, [status(thm)], [p123, p699])).
% 22.25/8.41 fof(sdef73, definition, (spl73 <=> (apart_point_and_line(sk1,line_connecting(sk1,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk1,X0)) | distinct_points(sk0,X1) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl73])], [avatar_definition])).
% 22.25/8.41 cnf(ssp57, plain, (~spl13 | spl1 | spl73), inference(avatar_split_clause, [status(thm)], [p1029, sdef1, sdef73])).
% 22.25/8.41 cnf(p1031, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk0,X1) | distinct_points(sk0,X0) | ~spl14), inference(resolution, [status(thm)], [p123, p703])).
% 22.25/8.41 fof(sdef74, definition, (spl74 <=> (apart_point_and_line(sk1,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk0,X1) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl74])], [avatar_definition])).
% 22.25/8.41 cnf(ssp58, plain, (~spl14 | spl1 | spl74), inference(avatar_split_clause, [status(thm)], [p1031, sdef1, sdef74])).
% 22.25/8.41 cnf(p1033, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,line_connecting(sk3,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk3,X0)) | distinct_points(sk0,X1) | distinct_points(sk0,X0) | ~spl15), inference(resolution, [status(thm)], [p123, p707])).
% 22.25/8.41 fof(sdef75, definition, (spl75 <=> (apart_point_and_line(sk1,line_connecting(sk3,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk3,X0)) | distinct_points(sk0,X1) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl75])], [avatar_definition])).
% 22.25/8.41 cnf(ssp59, plain, (~spl15 | spl1 | spl75), inference(avatar_split_clause, [status(thm)], [p1033, sdef1, sdef75])).
% 22.25/8.41 cnf(p1035, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl3), inference(resolution, [status(thm)], [p123, p721])).
% 22.25/8.41 fof(sdef76, definition, (spl76 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl76])], [avatar_definition])).
% 22.25/8.41 cnf(ssp60, plain, (~spl3 | spl1 | spl76), inference(avatar_split_clause, [status(thm)], [p1035, sdef1, sdef76])).
% 22.25/8.41 cnf(p1037, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk2),X0) | ~spl4), inference(resolution, [status(thm)], [p123, p722])).
% 22.25/8.41 fof(sdef77, definition, (spl77 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk2),X0))), introduced(definition, [new_symbols(naming, [spl77])], [avatar_definition])).
% 22.25/8.41 cnf(ssp61, plain, (~spl4 | spl1 | spl77), inference(avatar_split_clause, [status(thm)], [p1037, sdef1, sdef77])).
% 22.25/8.41 cnf(p1039, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk1,sk0),X0) | ~spl5), inference(resolution, [status(thm)], [p123, p723])).
% 22.25/8.41 fof(sdef78, definition, (spl78 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk1,sk0),X0))), introduced(definition, [new_symbols(naming, [spl78])], [avatar_definition])).
% 22.25/8.41 cnf(ssp62, plain, (~spl5 | spl1 | spl78), inference(avatar_split_clause, [status(thm)], [p1039, sdef1, sdef78])).
% 22.25/8.41 cnf(p1041, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk3),X0) | ~spl6), inference(resolution, [status(thm)], [p123, p724])).
% 22.25/8.41 fof(sdef79, definition, (spl79 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk0,sk3),X0))), introduced(definition, [new_symbols(naming, [spl79])], [avatar_definition])).
% 22.25/8.41 cnf(ssp63, plain, (~spl6 | spl1 | spl79), inference(avatar_split_clause, [status(thm)], [p1041, sdef1, sdef79])).
% 22.25/8.41 cnf(p1043, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk2,sk0),X0) | ~spl7), inference(resolution, [status(thm)], [p123, p725])).
% 22.25/8.41 fof(sdef80, definition, (spl80 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk2,sk0),X0))), introduced(definition, [new_symbols(naming, [spl80])], [avatar_definition])).
% 22.25/8.41 cnf(ssp64, plain, (~spl7 | spl1 | spl80), inference(avatar_split_clause, [status(thm)], [p1043, sdef1, sdef80])).
% 22.25/8.41 cnf(p1045, plain, (apart_point_and_line(sk1,line_connecting(sk3,sk0)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk3,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk2,sk3),X0) | ~spl8), inference(resolution, [status(thm)], [p123, p726])).
% 22.25/8.41 fof(sdef81, definition, (spl81 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk3,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | distinct_lines(line_connecting(sk2,sk3),X0))), introduced(definition, [new_symbols(naming, [spl81])], [avatar_definition])).
% 22.25/8.41 cnf(ssp65, plain, (~spl8 | spl23 | spl81), inference(avatar_split_clause, [status(thm)], [p1045, sdef23, sdef81])).
% 22.25/8.41 cnf(p1047, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,line_connecting(sk0,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk0,X0)) | distinct_points(sk0,X1) | distinct_points(X0,sk2) | ~spl17), inference(resolution, [status(thm)], [p123, p825])).
% 22.25/8.41 fof(sdef82, definition, (spl82 <=> (apart_point_and_line(sk1,line_connecting(sk0,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk0,X0)) | distinct_points(sk0,X1) | distinct_points(X0,sk2))), introduced(definition, [new_symbols(naming, [spl82])], [avatar_definition])).
% 22.25/8.41 cnf(ssp66, plain, (~spl17 | spl1 | spl82), inference(avatar_split_clause, [status(thm)], [p1047, sdef1, sdef82])).
% 22.25/8.41 cnf(p1049, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk0,X1) | distinct_points(sk0,X0) | ~spl18), inference(resolution, [status(thm)], [p123, p830])).
% 22.25/8.41 fof(sdef83, definition, (spl83 <=> (apart_point_and_line(sk1,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk0,X1) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl83])], [avatar_definition])).
% 22.25/8.41 cnf(ssp67, plain, (~spl18 | spl1 | spl83), inference(avatar_split_clause, [status(thm)], [p1049, sdef1, sdef83])).
% 22.25/8.41 cnf(p1051, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,line_connecting(sk0,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk0,X0)) | distinct_points(sk0,X1) | distinct_points(X0,sk3) | ~spl19), inference(resolution, [status(thm)], [p123, p834])).
% 22.25/8.41 fof(sdef84, definition, (spl84 <=> (apart_point_and_line(sk1,line_connecting(sk0,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk0,X0)) | distinct_points(sk0,X1) | distinct_points(X0,sk3))), introduced(definition, [new_symbols(naming, [spl84])], [avatar_definition])).
% 22.25/8.41 cnf(ssp68, plain, (~spl19 | spl1 | spl84), inference(avatar_split_clause, [status(thm)], [p1051, sdef1, sdef84])).
% 22.25/8.41 cnf(p1053, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,line_connecting(X0,sk3)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(X0,sk3)) | distinct_points(sk0,X1) | distinct_points(sk0,X0) | ~spl20), inference(resolution, [status(thm)], [p123, p841])).
% 22.25/8.41 fof(sdef85, definition, (spl85 <=> (apart_point_and_line(sk1,line_connecting(X0,sk3)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(X0,sk3)) | distinct_points(sk0,X1) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl85])], [avatar_definition])).
% 22.25/8.41 cnf(ssp69, plain, (~spl20 | spl1 | spl85), inference(avatar_split_clause, [status(thm)], [p1053, sdef1, sdef85])).
% 22.25/8.41 cnf(p124, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk3,X0) | apart_point_and_line(sk3,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(sk2,X2), inference(resolution, [status(thm)], [c10, p22])).
% 22.25/8.41 cnf(p1063, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk2,X1) | apart_point_and_line(sk0,X0) | ~spl0), inference(resolution, [status(thm)], [p124, p151])).
% 22.25/8.41 fof(sdef86, definition, (spl86 <=> (apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk2,X1) | apart_point_and_line(sk0,X0))), introduced(definition, [new_symbols(naming, [spl86])], [avatar_definition])).
% 22.25/8.41 cnf(ssp70, plain, (~spl0 | spl29 | spl86), inference(avatar_split_clause, [status(thm)], [p1063, sdef29, sdef86])).
% 22.25/8.41 cnf(p1065, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk2,X1) | distinct_points(sk0,X2) | apart_point_and_line(X2,X0) | ~spl0), inference(resolution, [status(thm)], [p124, p156])).
% 22.25/8.41 fof(sdef87, definition, (spl87 <=> (apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk2,X1) | distinct_points(sk0,X2) | apart_point_and_line(X2,X0))), introduced(definition, [new_symbols(naming, [spl87])], [avatar_definition])).
% 22.25/8.41 cnf(ssp71, plain, (~spl0 | spl29 | spl87), inference(avatar_split_clause, [status(thm)], [p1065, sdef29, sdef87])).
% 22.25/8.41 cnf(p1067, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk0,sk1)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | distinct_points(sk2,X0) | ~spl3), inference(resolution, [status(thm)], [p124, p676])).
% 22.25/8.41 fof(sdef88, definition, (spl88 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk0,sk1)) | distinct_points(sk2,X0))), introduced(definition, [new_symbols(naming, [spl88])], [avatar_definition])).
% 22.25/8.41 cnf(ssp72, plain, (~spl3 | spl29 | spl33 | spl88), inference(avatar_split_clause, [status(thm)], [p1067, sdef29, sdef33, sdef88])).
% 22.25/8.41 cnf(p1069, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk0,sk2)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk2,X0) | ~spl4), inference(resolution, [status(thm)], [p124, p678])).
% 22.25/8.41 fof(sdef89, definition, (spl89 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | distinct_points(sk2,X0))), introduced(definition, [new_symbols(naming, [spl89])], [avatar_definition])).
% 22.25/8.41 cnf(ssp73, plain, (~spl4 | spl29 | spl35 | spl89), inference(avatar_split_clause, [status(thm)], [p1069, sdef29, sdef35, sdef89])).
% 22.25/8.41 cnf(p1071, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk1,sk0)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(sk2,X0) | ~spl5), inference(resolution, [status(thm)], [p124, p680])).
% 22.25/8.41 fof(sdef90, definition, (spl90 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk1,sk0)) | distinct_points(sk2,X0))), introduced(definition, [new_symbols(naming, [spl90])], [avatar_definition])).
% 22.25/8.41 cnf(ssp74, plain, (~spl5 | spl29 | spl37 | spl90), inference(avatar_split_clause, [status(thm)], [p1071, sdef29, sdef37, sdef90])).
% 22.25/8.41 cnf(p1073, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk0,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk0,sk3)) | distinct_points(sk2,X0) | ~spl6), inference(resolution, [status(thm)], [p124, p682])).
% 22.25/8.41 fof(sdef91, definition, (spl91 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk0,sk3)) | distinct_points(sk2,X0))), introduced(definition, [new_symbols(naming, [spl91])], [avatar_definition])).
% 22.25/8.41 cnf(ssp75, plain, (~spl6 | spl29 | spl39 | spl91), inference(avatar_split_clause, [status(thm)], [p1073, sdef29, sdef39, sdef91])).
% 22.25/8.41 cnf(p1075, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk2,sk0)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk2,X0) | ~spl7), inference(resolution, [status(thm)], [p124, p685])).
% 22.25/8.41 fof(sdef92, definition, (spl92 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk2,X0))), introduced(definition, [new_symbols(naming, [spl92])], [avatar_definition])).
% 22.25/8.41 cnf(ssp76, plain, (~spl7 | spl29 | spl41 | spl92), inference(avatar_split_clause, [status(thm)], [p1075, sdef29, sdef41, sdef92])).
% 22.25/8.41 cnf(p1077, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk3,sk0)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | distinct_points(sk2,X0) | ~spl8), inference(resolution, [status(thm)], [p124, p687])).
% 22.25/8.41 fof(sdef93, definition, (spl93 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | distinct_points(sk2,X0))), introduced(definition, [new_symbols(naming, [spl93])], [avatar_definition])).
% 22.25/8.41 cnf(ssp77, plain, (~spl8 | spl29 | spl43 | spl93), inference(avatar_split_clause, [status(thm)], [p1077, sdef29, sdef43, sdef93])).
% 22.25/8.41 cnf(p1079, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk0,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk0,X0)) | distinct_points(sk2,X1) | distinct_points(X0,sk1) | ~spl9), inference(resolution, [status(thm)], [p124, p689])).
% 22.25/8.41 fof(sdef94, definition, (spl94 <=> (apart_point_and_line(sk3,line_connecting(sk0,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk0,X0)) | distinct_points(sk2,X1) | distinct_points(X0,sk1))), introduced(definition, [new_symbols(naming, [spl94])], [avatar_definition])).
% 22.25/8.41 cnf(ssp78, plain, (~spl9 | spl29 | spl94), inference(avatar_split_clause, [status(thm)], [p1079, sdef29, sdef94])).
% 22.25/8.41 cnf(p1081, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(X0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(X0,sk1)) | distinct_points(sk2,X1) | distinct_points(sk0,X0) | ~spl12), inference(resolution, [status(thm)], [p124, p695])).
% 22.25/8.41 fof(sdef95, definition, (spl95 <=> (apart_point_and_line(sk3,line_connecting(X0,sk1)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(X0,sk1)) | distinct_points(sk2,X1) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl95])], [avatar_definition])).
% 22.25/8.41 cnf(ssp79, plain, (~spl12 | spl29 | spl95), inference(avatar_split_clause, [status(thm)], [p1081, sdef29, sdef95])).
% 22.25/8.41 cnf(p1083, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk1,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk1,X0)) | distinct_points(sk2,X1) | distinct_points(sk0,X0) | ~spl13), inference(resolution, [status(thm)], [p124, p699])).
% 22.25/8.41 fof(sdef96, definition, (spl96 <=> (apart_point_and_line(sk3,line_connecting(sk1,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk1,X0)) | distinct_points(sk2,X1) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl96])], [avatar_definition])).
% 22.25/8.41 cnf(ssp80, plain, (~spl13 | spl29 | spl96), inference(avatar_split_clause, [status(thm)], [p1083, sdef29, sdef96])).
% 22.25/8.41 cnf(p1085, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk2,X1) | distinct_points(sk0,X0) | ~spl14), inference(resolution, [status(thm)], [p124, p703])).
% 22.25/8.41 fof(sdef97, definition, (spl97 <=> (apart_point_and_line(sk3,line_connecting(sk2,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(sk2,X1) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl97])], [avatar_definition])).
% 22.25/8.41 cnf(ssp81, plain, (~spl14 | spl29 | spl97), inference(avatar_split_clause, [status(thm)], [p1085, sdef29, sdef97])).
% 22.25/8.41 cnf(p1087, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk3,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk3,X0)) | distinct_points(sk2,X1) | distinct_points(sk0,X0) | ~spl15), inference(resolution, [status(thm)], [p124, p707])).
% 22.25/8.41 fof(sdef98, definition, (spl98 <=> (apart_point_and_line(sk3,line_connecting(sk3,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk3,X0)) | distinct_points(sk2,X1) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl98])], [avatar_definition])).
% 22.25/8.41 cnf(ssp82, plain, (~spl15 | spl29 | spl98), inference(avatar_split_clause, [status(thm)], [p1087, sdef29, sdef98])).
% 22.25/8.41 cnf(p1089, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk2,X1) | distinct_lines(line_connecting(sk0,sk1),X0) | ~spl3), inference(resolution, [status(thm)], [p124, p721])).
% 22.25/8.41 fof(sdef99, definition, (spl99 <=> (apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk2,X1) | distinct_lines(line_connecting(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl99])], [avatar_definition])).
% 22.25/8.41 cnf(ssp83, plain, (~spl3 | spl29 | spl99), inference(avatar_split_clause, [status(thm)], [p1089, sdef29, sdef99])).
% 22.25/8.41 cnf(p1091, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk2,X1) | distinct_lines(line_connecting(sk0,sk2),X0) | ~spl4), inference(resolution, [status(thm)], [p124, p722])).
% 22.25/8.41 fof(sdef100, definition, (spl100 <=> (apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk2,X1) | distinct_lines(line_connecting(sk0,sk2),X0))), introduced(definition, [new_symbols(naming, [spl100])], [avatar_definition])).
% 22.25/8.41 cnf(ssp84, plain, (~spl4 | spl29 | spl100), inference(avatar_split_clause, [status(thm)], [p1091, sdef29, sdef100])).
% 22.25/8.41 cnf(p1093, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk2,X1) | distinct_lines(line_connecting(sk1,sk0),X0) | ~spl5), inference(resolution, [status(thm)], [p124, p723])).
% 22.25/8.41 fof(sdef101, definition, (spl101 <=> (apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk2,X1) | distinct_lines(line_connecting(sk1,sk0),X0))), introduced(definition, [new_symbols(naming, [spl101])], [avatar_definition])).
% 22.25/8.41 cnf(ssp85, plain, (~spl5 | spl29 | spl101), inference(avatar_split_clause, [status(thm)], [p1093, sdef29, sdef101])).
% 22.25/8.41 cnf(p1095, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk2,X1) | distinct_lines(line_connecting(sk0,sk3),X0) | ~spl6), inference(resolution, [status(thm)], [p124, p724])).
% 22.25/8.41 fof(sdef102, definition, (spl102 <=> (apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk2,X1) | distinct_lines(line_connecting(sk0,sk3),X0))), introduced(definition, [new_symbols(naming, [spl102])], [avatar_definition])).
% 22.25/8.41 cnf(ssp86, plain, (~spl6 | spl29 | spl102), inference(avatar_split_clause, [status(thm)], [p1095, sdef29, sdef102])).
% 22.25/8.41 cnf(p1097, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk2,X1) | distinct_lines(line_connecting(sk2,sk0),X0) | ~spl7), inference(resolution, [status(thm)], [p124, p725])).
% 22.25/8.41 fof(sdef103, definition, (spl103 <=> (apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk2,X1) | distinct_lines(line_connecting(sk2,sk0),X0))), introduced(definition, [new_symbols(naming, [spl103])], [avatar_definition])).
% 22.25/8.41 cnf(ssp87, plain, (~spl7 | spl29 | spl103), inference(avatar_split_clause, [status(thm)], [p1097, sdef29, sdef103])).
% 22.25/8.41 cnf(p1099, plain, (apart_point_and_line(sk3,line_connecting(sk3,sk0)) | apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk3,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk2,X1) | distinct_lines(line_connecting(sk2,sk3),X0) | ~spl8), inference(resolution, [status(thm)], [p124, p726])).
% 22.25/8.41 fof(sdef104, definition, (spl104 <=> (apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk3,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk2,X1) | distinct_lines(line_connecting(sk2,sk3),X0))), introduced(definition, [new_symbols(naming, [spl104])], [avatar_definition])).
% 22.25/8.41 cnf(ssp88, plain, (~spl8 | spl43 | spl104), inference(avatar_split_clause, [status(thm)], [p1099, sdef43, sdef104])).
% 22.25/8.41 cnf(p1101, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk0,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk0,X0)) | distinct_points(sk2,X1) | distinct_points(X0,sk2) | ~spl17), inference(resolution, [status(thm)], [p124, p825])).
% 22.25/8.41 fof(sdef105, definition, (spl105 <=> (apart_point_and_line(sk3,line_connecting(sk0,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk0,X0)) | distinct_points(sk2,X1) | distinct_points(X0,sk2))), introduced(definition, [new_symbols(naming, [spl105])], [avatar_definition])).
% 22.25/8.41 cnf(ssp89, plain, (~spl17 | spl29 | spl105), inference(avatar_split_clause, [status(thm)], [p1101, sdef29, sdef105])).
% 22.25/8.41 cnf(p1103, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk2,X1) | distinct_points(sk0,X0) | ~spl18), inference(resolution, [status(thm)], [p124, p830])).
% 22.25/8.41 fof(sdef106, definition, (spl106 <=> (apart_point_and_line(sk3,line_connecting(X0,sk2)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(X0,sk2)) | distinct_points(sk2,X1) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl106])], [avatar_definition])).
% 22.25/8.41 cnf(ssp90, plain, (~spl18 | spl29 | spl106), inference(avatar_split_clause, [status(thm)], [p1103, sdef29, sdef106])).
% 22.25/8.41 cnf(p1105, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(sk0,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk0,X0)) | distinct_points(sk2,X1) | distinct_points(X0,sk3) | ~spl19), inference(resolution, [status(thm)], [p124, p834])).
% 22.25/8.41 fof(sdef107, definition, (spl107 <=> (apart_point_and_line(sk3,line_connecting(sk0,X0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk0,X0)) | distinct_points(sk2,X1) | distinct_points(X0,sk3))), introduced(definition, [new_symbols(naming, [spl107])], [avatar_definition])).
% 22.25/8.41 cnf(ssp91, plain, (~spl19 | spl29 | spl107), inference(avatar_split_clause, [status(thm)], [p1105, sdef29, sdef107])).
% 22.25/8.41 cnf(p1107, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,line_connecting(X0,sk3)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(X0,sk3)) | distinct_points(sk2,X1) | distinct_points(sk0,X0) | ~spl20), inference(resolution, [status(thm)], [p124, p841])).
% 22.25/8.41 fof(sdef108, definition, (spl108 <=> (apart_point_and_line(sk3,line_connecting(X0,sk3)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(X0,sk3)) | distinct_points(sk2,X1) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl108])], [avatar_definition])).
% 22.25/8.41 cnf(ssp92, plain, (~spl20 | spl29 | spl108), inference(avatar_split_clause, [status(thm)], [p1107, sdef29, sdef108])).
% 22.25/8.41 cnf(p944, plain, (apart_point_and_line(sk2,line_connecting(sk0,sk2)) | ~spl34), inference(avatar_component_clause, [status(thm)], [sdef34])).
% 22.25/8.41 cnf(p82, plain, ~apart_point_and_line(X0,line_connecting(sk0,X1)) | distinct_points(X0,X1) | distinct_points(X1,sk1), inference(resolution, [status(thm)], [c7, p25])).
% 22.25/8.41 cnf(p1113, plain, (distinct_points(sk2,sk2) | distinct_points(sk2,sk1) | ~spl34), inference(resolution, [status(thm)], [p944, p82])).
% 22.25/8.41 fof(sdef110, definition, (spl110 <=> (distinct_points(sk2,sk1))), introduced(definition, [new_symbols(naming, [spl110])], [avatar_definition])).
% 22.25/8.41 cnf(ssp93, plain, (~spl34 | spl109 | spl110), inference(avatar_split_clause, [status(thm)], [p1113, sdef109, sdef110])).
% 22.25/8.41 cnf(p79, plain, ~apart_point_and_line(X0,line_connecting(sk0,X1)) | distinct_points(X0,X1) | distinct_points(sk1,X2) | distinct_points(X1,X2), inference(resolution, [status(thm)], [c7, p23])).
% 22.25/8.41 cnf(p1116, plain, (distinct_points(sk2,sk2) | distinct_points(sk1,X0) | distinct_points(sk2,X0) | ~spl34), inference(resolution, [status(thm)], [p944, p79])).
% 22.25/8.41 fof(sdef111, definition, (spl111 <=> (distinct_points(sk1,X0) | distinct_points(sk2,X0))), introduced(definition, [new_symbols(naming, [spl111])], [avatar_definition])).
% 22.25/8.41 cnf(ssp94, plain, (~spl34 | spl109 | spl111), inference(avatar_split_clause, [status(thm)], [p1116, sdef109, sdef111])).
% 22.25/8.41 cnf(p81, plain, ~apart_point_and_line(X0,line_connecting(X1,X2)) | distinct_points(X0,X2) | distinct_points(sk0,X1) | distinct_points(sk1,X2), inference(resolution, [status(thm)], [c7, p23])).
% 22.25/8.41 cnf(p1118, plain, (distinct_points(sk2,sk2) | distinct_points(sk0,sk0) | distinct_points(sk1,sk2) | ~spl34), inference(resolution, [status(thm)], [p944, p81])).
% 22.25/8.41 fof(sdef112, definition, (spl112 <=> (distinct_points(sk1,sk2))), introduced(definition, [new_symbols(naming, [spl112])], [avatar_definition])).
% 22.25/8.41 cnf(ssp95, plain, (~spl34 | spl11 | spl109 | spl112), inference(avatar_split_clause, [status(thm)], [p1118, sdef11, sdef109, sdef112])).
% 22.25/8.41 cnf(p90, plain, ~apart_point_and_line(X0,line_connecting(sk0,X1)) | distinct_points(X0,X1) | distinct_points(X2,sk1) | distinct_points(X2,X1), inference(resolution, [status(thm)], [c7, p29])).
% 22.25/8.41 cnf(p1120, plain, (distinct_points(sk2,sk2) | distinct_points(X0,sk1) | distinct_points(X0,sk2) | ~spl34), inference(resolution, [status(thm)], [p944, p90])).
% 22.25/8.41 fof(sdef113, definition, (spl113 <=> (distinct_points(X0,sk1) | distinct_points(X0,sk2))), introduced(definition, [new_symbols(naming, [spl113])], [avatar_definition])).
% 22.25/8.41 cnf(ssp96, plain, (~spl34 | spl109 | spl113), inference(avatar_split_clause, [status(thm)], [p1120, sdef109, sdef113])).
% 22.25/8.41 cnf(p30, plain, distinct_points(sk2,X0) | distinct_points(X0,sk3), inference(resolution, [status(thm)], [p24, c0])).
% 22.25/8.41 cnf(p34, plain, distinct_points(X0,sk3) | distinct_points(sk2,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p30, c3])).
% 22.25/8.41 cnf(p96, plain, ~apart_point_and_line(X0,line_connecting(X1,X2)) | distinct_points(X0,X2) | distinct_points(X1,sk3) | distinct_points(sk2,X2), inference(resolution, [status(thm)], [c7, p34])).
% 22.25/8.41 cnf(p1122, plain, (distinct_points(sk2,sk2) | distinct_points(sk0,sk3) | distinct_points(sk2,sk2) | ~spl34), inference(resolution, [status(thm)], [p944, p96])).
% 22.25/8.41 fof(sdef114, definition, (spl114 <=> (distinct_points(sk0,sk3))), introduced(definition, [new_symbols(naming, [spl114])], [avatar_definition])).
% 22.25/8.41 cnf(ssp97, plain, (~spl34 | spl109 | spl114), inference(avatar_split_clause, [status(thm)], [p1122, sdef109, sdef114])).
% 22.25/8.41 cnf(p125, 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, p23])).
% 22.25/8.41 cnf(p1125, plain, (apart_point_and_line(sk0,line_connecting(sk2,sk3)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | apart_point_and_line(sk1,X0) | ~spl1), inference(resolution, [status(thm)], [p125, p152])).
% 22.25/8.41 fof(sdef115, definition, (spl115 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | apart_point_and_line(sk1,X0))), introduced(definition, [new_symbols(naming, [spl115])], [avatar_definition])).
% 22.25/8.41 cnf(ssp98, plain, (~spl1 | spl0 | spl115), inference(avatar_split_clause, [status(thm)], [p1125, sdef0, sdef115])).
% 22.25/8.41 cnf(p945, plain, (apart_point_and_line(sk3,line_connecting(sk0,sk2)) | ~spl35), inference(avatar_component_clause, [status(thm)], [sdef35])).
% 22.25/8.41 cnf(p1141, plain, (distinct_points(sk3,sk0) | distinct_points(sk2,sk1) | ~spl35), inference(resolution, [status(thm)], [p945, p52])).
% 22.25/8.41 fof(sdef116, definition, (spl116 <=> (distinct_points(sk3,sk0))), introduced(definition, [new_symbols(naming, [spl116])], [avatar_definition])).
% 22.25/8.41 cnf(ssp99, plain, (~spl35 | spl110 | spl116), inference(avatar_split_clause, [status(thm)], [p1141, sdef110, sdef116])).
% 22.25/8.41 cnf(p1143, plain, (distinct_points(sk3,sk0) | distinct_points(sk1,X0) | distinct_points(sk2,X0) | ~spl35), inference(resolution, [status(thm)], [p945, p49])).
% 22.25/8.41 cnf(ssp100, plain, (~spl35 | spl111 | spl116), inference(avatar_split_clause, [status(thm)], [p1143, sdef111, sdef116])).
% 22.25/8.41 cnf(p51, plain, ~apart_point_and_line(X0,line_connecting(X1,X2)) | distinct_points(X0,X1) | distinct_points(sk0,X1) | distinct_points(sk1,X2), inference(resolution, [status(thm)], [c6, p23])).
% 22.25/8.41 cnf(p1144, plain, (distinct_points(sk3,sk0) | distinct_points(sk0,sk0) | distinct_points(sk1,sk2) | ~spl35), inference(resolution, [status(thm)], [p945, p51])).
% 22.25/8.41 cnf(ssp101, plain, (~spl35 | spl11 | spl112 | spl116), inference(avatar_split_clause, [status(thm)], [p1144, sdef11, sdef112, sdef116])).
% 22.25/8.41 cnf(p1145, plain, (distinct_points(sk3,sk0) | distinct_points(X0,sk1) | distinct_points(X0,sk2) | ~spl35), inference(resolution, [status(thm)], [p945, p60])).
% 22.25/8.41 cnf(ssp102, plain, (~spl35 | spl113 | spl116), inference(avatar_split_clause, [status(thm)], [p1145, sdef113, sdef116])).
% 22.25/8.41 cnf(p66, plain, ~apart_point_and_line(X0,line_connecting(X1,X2)) | distinct_points(X0,X1) | distinct_points(X1,sk3) | distinct_points(sk2,X2), inference(resolution, [status(thm)], [c6, p34])).
% 22.25/8.41 cnf(p1146, plain, (distinct_points(sk3,sk0) | distinct_points(sk0,sk3) | distinct_points(sk2,sk2) | ~spl35), inference(resolution, [status(thm)], [p945, p66])).
% 22.25/8.41 cnf(ssp103, plain, (~spl35 | spl109 | spl114 | spl116), inference(avatar_split_clause, [status(thm)], [p1146, sdef109, sdef114, sdef116])).
% 22.25/8.41 cnf(p950, plain, (apart_point_and_line(sk2,line_connecting(sk0,sk3)) | ~spl38), inference(avatar_component_clause, [status(thm)], [sdef38])).
% 22.25/8.41 cnf(p1177, plain, (distinct_points(sk2,sk0) | distinct_points(sk3,sk1) | ~spl38), inference(resolution, [status(thm)], [p950, p52])).
% 22.25/8.41 cnf(ssp104, plain, (~spl38 | spl24 | spl26), inference(avatar_split_clause, [status(thm)], [p1177, sdef24, sdef26])).
% 22.25/8.41 cnf(p1178, plain, (distinct_points(sk2,sk0) | distinct_points(sk1,X0) | distinct_points(sk3,X0) | ~spl38), inference(resolution, [status(thm)], [p950, p49])).
% 22.25/8.41 fof(sdef117, definition, (spl117 <=> (distinct_points(sk1,X0) | distinct_points(sk3,X0))), introduced(definition, [new_symbols(naming, [spl117])], [avatar_definition])).
% 22.25/8.41 cnf(ssp105, plain, (~spl38 | spl24 | spl117), inference(avatar_split_clause, [status(thm)], [p1178, sdef24, sdef117])).
% 22.25/8.41 cnf(p58, plain, ~apart_point_and_line(X0,line_connecting(X1,sk3)) | distinct_points(X0,X1) | distinct_points(sk2,X1), inference(resolution, [status(thm)], [c6, p30])).
% 22.25/8.41 cnf(p1180, plain, (distinct_points(sk2,sk0) | distinct_points(sk2,sk0) | ~spl38), inference(resolution, [status(thm)], [p950, p58])).
% 22.25/8.41 cnf(ssp106, plain, (~spl38 | spl24), inference(avatar_split_clause, [status(thm)], [p1180, sdef24])).
% 22.25/8.41 cnf(p128, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk0,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(X2,sk1), inference(resolution, [status(thm)], [c10, p25])).
% 22.25/8.41 cnf(p1182, plain, (apart_point_and_line(sk0,line_connecting(sk2,sk3)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | apart_point_and_line(sk1,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p152])).
% 22.25/8.41 fof(sdef118, definition, (spl118 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | apart_point_and_line(sk1,X0))), introduced(definition, [new_symbols(naming, [spl118])], [avatar_definition])).
% 22.25/8.41 cnf(ssp107, plain, (~spl1 | spl0 | spl118), inference(avatar_split_clause, [status(thm)], [p1182, sdef0, sdef118])).
% 22.25/8.41 cnf(p951, plain, (apart_point_and_line(sk3,line_connecting(sk0,sk3)) | ~spl39), inference(avatar_component_clause, [status(thm)], [sdef39])).
% 22.25/8.41 cnf(p1190, plain, (distinct_points(sk3,sk3) | distinct_points(sk3,sk1) | ~spl39), inference(resolution, [status(thm)], [p951, p82])).
% 22.25/8.41 cnf(ssp108, plain, (~spl39 | spl26 | spl119), inference(avatar_split_clause, [status(thm)], [p1190, sdef26, sdef119])).
% 22.25/8.41 cnf(p88, plain, ~apart_point_and_line(X0,line_connecting(X1,sk3)) | distinct_points(X0,sk3) | distinct_points(sk2,X1), inference(resolution, [status(thm)], [c7, p30])).
% 22.25/8.41 cnf(p1192, plain, (distinct_points(sk3,sk3) | distinct_points(sk2,sk0) | ~spl39), inference(resolution, [status(thm)], [p951, p88])).
% 22.25/8.41 cnf(ssp109, plain, (~spl39 | spl24 | spl119), inference(avatar_split_clause, [status(thm)], [p1192, sdef24, sdef119])).
% 22.25/8.41 cnf(p40, plain, distinct_points(X0,sk3) | distinct_points(X0,sk2), inference(resolution, [status(thm)], [p34, c0])).
% 22.25/8.41 cnf(p97, plain, ~apart_point_and_line(X0,line_connecting(X1,sk3)) | distinct_points(X0,sk3) | distinct_points(X1,sk2), inference(resolution, [status(thm)], [c7, p40])).
% 22.25/8.41 cnf(p1193, plain, (distinct_points(sk3,sk3) | distinct_points(sk0,sk2) | ~spl39), inference(resolution, [status(thm)], [p951, p97])).
% 22.25/8.41 fof(sdef120, definition, (spl120 <=> (distinct_points(sk0,sk2))), introduced(definition, [new_symbols(naming, [spl120])], [avatar_definition])).
% 22.25/8.41 cnf(ssp110, plain, (~spl39 | spl119 | spl120), inference(avatar_split_clause, [status(thm)], [p1193, sdef119, sdef120])).
% 22.25/8.41 cnf(p1195, plain, (distinct_points(sk3,sk3) | distinct_points(sk1,X0) | distinct_points(sk3,X0) | ~spl39), inference(resolution, [status(thm)], [p951, p79])).
% 22.25/8.41 cnf(ssp111, plain, (~spl39 | spl117 | spl119), inference(avatar_split_clause, [status(thm)], [p1195, sdef117, sdef119])).
% 22.25/8.41 cnf(p1196, plain, (distinct_points(sk3,sk3) | distinct_points(sk0,sk0) | distinct_points(sk1,sk3) | ~spl39), inference(resolution, [status(thm)], [p951, p81])).
% 22.25/8.41 cnf(ssp112, plain, (~spl39 | spl11 | spl59 | spl119), inference(avatar_split_clause, [status(thm)], [p1196, sdef11, sdef59, sdef119])).
% 22.25/8.41 cnf(p1197, plain, (distinct_points(sk3,sk3) | distinct_points(X0,sk1) | distinct_points(X0,sk3) | ~spl39), inference(resolution, [status(thm)], [p951, p90])).
% 22.25/8.41 fof(sdef121, definition, (spl121 <=> (distinct_points(X0,sk1) | distinct_points(X0,sk3))), introduced(definition, [new_symbols(naming, [spl121])], [avatar_definition])).
% 22.25/8.41 cnf(ssp113, plain, (~spl39 | spl119 | spl121), inference(avatar_split_clause, [status(thm)], [p1197, sdef119, sdef121])).
% 22.25/8.41 cnf(p94, plain, ~apart_point_and_line(X0,line_connecting(X1,sk3)) | distinct_points(X0,sk3) | distinct_points(sk2,X2) | distinct_points(X1,X2), inference(resolution, [status(thm)], [c7, p34])).
% 22.25/8.41 cnf(p1199, plain, (distinct_points(sk3,sk3) | distinct_points(sk2,X0) | distinct_points(sk0,X0) | ~spl39), inference(resolution, [status(thm)], [p951, p94])).
% 22.25/8.41 fof(sdef122, definition, (spl122 <=> (distinct_points(sk2,X0) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl122])], [avatar_definition])).
% 22.25/8.41 cnf(ssp114, plain, (~spl39 | spl119 | spl122), inference(avatar_split_clause, [status(thm)], [p1199, sdef119, sdef122])).
% 22.25/8.41 cnf(p129, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(sk3,X3) | distinct_points(X2,X3), inference(resolution, [status(thm)], [c10, p24])).
% 22.25/8.41 cnf(p1206, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk3,X2) | distinct_points(X1,X2) | apart_point_and_line(sk1,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p152])).
% 22.25/8.41 fof(sdef123, definition, (spl123 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk3,X2) | distinct_points(X1,X2) | apart_point_and_line(sk1,X0))), introduced(definition, [new_symbols(naming, [spl123])], [avatar_definition])).
% 22.25/8.41 cnf(ssp115, plain, (~spl1 | spl27 | spl123), inference(avatar_split_clause, [status(thm)], [p1206, sdef27, sdef123])).
% 22.25/8.41 cnf(p953, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk0)) | ~spl40), inference(avatar_component_clause, [status(thm)], [sdef40])).
% 22.25/8.41 cnf(p57, plain, ~apart_point_and_line(X0,line_connecting(sk2,X1)) | distinct_points(X0,sk2) | distinct_points(X1,sk3), inference(resolution, [status(thm)], [c6, p30])).
% 22.25/8.41 cnf(p1210, plain, (distinct_points(sk2,sk2) | distinct_points(sk0,sk3) | ~spl40), inference(resolution, [status(thm)], [p953, p57])).
% 22.25/8.41 cnf(ssp116, plain, (~spl40 | spl109 | spl114), inference(avatar_split_clause, [status(thm)], [p1210, sdef109, sdef114])).
% 22.25/8.41 cnf(p54, plain, ~apart_point_and_line(X0,line_connecting(sk2,X1)) | distinct_points(X0,sk2) | distinct_points(sk3,X2) | distinct_points(X1,X2), inference(resolution, [status(thm)], [c6, p24])).
% 22.25/8.41 cnf(p1211, plain, (distinct_points(sk2,sk2) | distinct_points(sk3,X0) | distinct_points(sk0,X0) | ~spl40), inference(resolution, [status(thm)], [p953, p54])).
% 22.25/8.41 fof(sdef124, definition, (spl124 <=> (distinct_points(sk3,X0) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl124])], [avatar_definition])).
% 22.25/8.41 cnf(ssp117, plain, (~spl40 | spl109 | spl124), inference(avatar_split_clause, [status(thm)], [p1211, sdef109, sdef124])).
% 22.25/8.41 cnf(p56, plain, ~apart_point_and_line(X0,line_connecting(X1,X2)) | distinct_points(X0,X1) | distinct_points(sk2,X1) | distinct_points(sk3,X2), inference(resolution, [status(thm)], [c6, p24])).
% 22.25/8.41 cnf(p1213, plain, (distinct_points(sk2,sk2) | distinct_points(sk2,sk2) | distinct_points(sk3,sk0) | ~spl40), inference(resolution, [status(thm)], [p953, p56])).
% 22.25/8.41 cnf(ssp118, plain, (~spl40 | spl109 | spl116), inference(avatar_split_clause, [status(thm)], [p1213, sdef109, sdef116])).
% 22.25/8.41 cnf(p1214, plain, (distinct_points(sk2,sk2) | distinct_points(sk2,sk1) | distinct_points(sk0,sk0) | ~spl40), inference(resolution, [status(thm)], [p953, p61])).
% 22.25/8.41 cnf(ssp119, plain, (~spl40 | spl11 | spl109 | spl110), inference(avatar_split_clause, [status(thm)], [p1214, sdef11, sdef109, sdef110])).
% 22.25/8.41 cnf(p65, plain, ~apart_point_and_line(X0,line_connecting(sk2,X1)) | distinct_points(X0,sk2) | distinct_points(X2,sk3) | distinct_points(X2,X1), inference(resolution, [status(thm)], [c6, p34])).
% 22.25/8.41 cnf(p1215, plain, (distinct_points(sk2,sk2) | distinct_points(X0,sk3) | distinct_points(X0,sk0) | ~spl40), inference(resolution, [status(thm)], [p953, p65])).
% 22.25/8.41 fof(sdef125, definition, (spl125 <=> (distinct_points(X0,sk3) | distinct_points(X0,sk0))), introduced(definition, [new_symbols(naming, [spl125])], [avatar_definition])).
% 22.25/8.41 cnf(ssp120, plain, (~spl40 | spl109 | spl125), inference(avatar_split_clause, [status(thm)], [p1215, sdef109, sdef125])).
% 22.25/8.41 cnf(p954, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk0)) | ~spl41), inference(avatar_component_clause, [status(thm)], [sdef41])).
% 22.25/8.41 cnf(p87, plain, ~apart_point_and_line(X0,line_connecting(sk2,X1)) | distinct_points(X0,X1) | distinct_points(X1,sk3), inference(resolution, [status(thm)], [c7, p30])).
% 22.25/8.41 cnf(p1219, plain, (distinct_points(sk3,sk0) | distinct_points(sk0,sk3) | ~spl41), inference(resolution, [status(thm)], [p954, p87])).
% 22.25/8.41 cnf(ssp121, plain, (~spl41 | spl114 | spl116), inference(avatar_split_clause, [status(thm)], [p1219, sdef114, sdef116])).
% 22.25/8.41 cnf(p84, plain, ~apart_point_and_line(X0,line_connecting(sk2,X1)) | distinct_points(X0,X1) | distinct_points(sk3,X2) | distinct_points(X1,X2), inference(resolution, [status(thm)], [c7, p24])).
% 22.25/8.41 cnf(p1220, plain, (distinct_points(sk3,sk0) | distinct_points(sk3,X0) | distinct_points(sk0,X0) | ~spl41), inference(resolution, [status(thm)], [p954, p84])).
% 22.25/8.41 cnf(ssp122, plain, (~spl41 | spl116 | spl124), inference(avatar_split_clause, [status(thm)], [p1220, sdef116, sdef124])).
% 22.25/8.41 cnf(p86, plain, ~apart_point_and_line(X0,line_connecting(X1,X2)) | distinct_points(X0,X2) | distinct_points(sk2,X1) | distinct_points(sk3,X2), inference(resolution, [status(thm)], [c7, p24])).
% 22.25/8.41 cnf(p1221, plain, (distinct_points(sk3,sk0) | distinct_points(sk2,sk2) | distinct_points(sk3,sk0) | ~spl41), inference(resolution, [status(thm)], [p954, p86])).
% 22.25/8.41 cnf(ssp123, plain, (~spl41 | spl109 | spl116), inference(avatar_split_clause, [status(thm)], [p1221, sdef109, sdef116])).
% 22.25/8.41 cnf(p1222, plain, (distinct_points(sk3,sk0) | distinct_points(sk2,sk1) | distinct_points(sk0,sk0) | ~spl41), inference(resolution, [status(thm)], [p954, p91])).
% 22.25/8.41 cnf(ssp124, plain, (~spl41 | spl11 | spl110 | spl116), inference(avatar_split_clause, [status(thm)], [p1222, sdef11, sdef110, sdef116])).
% 22.25/8.41 cnf(p95, plain, ~apart_point_and_line(X0,line_connecting(sk2,X1)) | distinct_points(X0,X1) | distinct_points(X2,sk3) | distinct_points(X2,X1), inference(resolution, [status(thm)], [c7, p34])).
% 22.25/8.41 cnf(p1223, plain, (distinct_points(sk3,sk0) | distinct_points(X0,sk3) | distinct_points(X0,sk0) | ~spl41), inference(resolution, [status(thm)], [p954, p95])).
% 22.25/8.41 cnf(ssp125, plain, (~spl41 | spl116 | spl125), inference(avatar_split_clause, [status(thm)], [p1223, sdef116, sdef125])).
% 22.25/8.41 cnf(p956, plain, (apart_point_and_line(sk2,line_connecting(sk3,sk0)) | ~spl42), inference(avatar_component_clause, [status(thm)], [sdef42])).
% 22.25/8.41 cnf(p1226, plain, (distinct_points(sk2,sk0) | distinct_points(sk2,sk0) | ~spl42), inference(resolution, [status(thm)], [p956, p78])).
% 22.25/8.41 cnf(ssp126, plain, (~spl42 | spl24), inference(avatar_split_clause, [status(thm)], [p1226, sdef24])).
% 22.25/8.41 cnf(p130, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk3,X0) | apart_point_and_line(sk3,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(sk2,X3) | distinct_points(X3,X2), inference(resolution, [status(thm)], [c10, p24])).
% 22.25/8.41 cnf(p1232, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk2,X2) | distinct_points(X2,X1) | apart_point_and_line(sk1,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p152])).
% 22.25/8.41 fof(sdef126, definition, (spl126 <=> (apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk2,X2) | distinct_points(X2,X1) | apart_point_and_line(sk1,X0))), introduced(definition, [new_symbols(naming, [spl126])], [avatar_definition])).
% 22.25/8.41 cnf(ssp127, plain, (~spl1 | spl29 | spl126), inference(avatar_split_clause, [status(thm)], [p1232, sdef29, sdef126])).
% 22.25/8.41 cnf(p957, plain, (apart_point_and_line(sk3,line_connecting(sk3,sk0)) | ~spl43), inference(avatar_component_clause, [status(thm)], [sdef43])).
% 22.25/8.41 cnf(p1236, plain, (distinct_points(sk3,sk3) | distinct_points(sk2,sk0) | ~spl43), inference(resolution, [status(thm)], [p957, p48])).
% 22.25/8.41 cnf(ssp128, plain, (~spl43 | spl24 | spl119), inference(avatar_split_clause, [status(thm)], [p1236, sdef24, sdef119])).
% 22.25/8.41 cnf(p1237, plain, (distinct_points(sk3,sk3) | distinct_points(sk2,X0) | distinct_points(X0,sk0) | ~spl43), inference(resolution, [status(thm)], [p957, p55])).
% 22.25/8.41 cnf(ssp129, plain, (~spl43 | spl25 | spl119), inference(avatar_split_clause, [status(thm)], [p1237, sdef25, sdef119])).
% 22.25/8.41 cnf(p1238, plain, (distinct_points(sk3,sk3) | distinct_points(sk3,sk1) | distinct_points(sk0,sk0) | ~spl43), inference(resolution, [status(thm)], [p957, p61])).
% 22.25/8.41 cnf(ssp130, plain, (~spl43 | spl11 | spl26 | spl119), inference(avatar_split_clause, [status(thm)], [p1238, sdef11, sdef26, sdef119])).
% 22.25/8.41 cnf(p1012, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk2)) | ~spl62), inference(avatar_component_clause, [status(thm)], [sdef62])).
% 22.25/8.41 cnf(p1245, plain, (distinct_points(sk1,sk2) | distinct_points(sk2,sk1) | ~spl62), inference(resolution, [status(thm)], [p1012, p82])).
% 22.25/8.41 cnf(ssp131, plain, (~spl62 | spl110 | spl112), inference(avatar_split_clause, [status(thm)], [p1245, sdef110, sdef112])).
% 22.25/8.41 cnf(p1246, plain, (distinct_points(sk1,sk2) | distinct_points(sk1,X0) | distinct_points(sk2,X0) | ~spl62), inference(resolution, [status(thm)], [p1012, p79])).
% 22.25/8.41 cnf(ssp132, plain, (~spl62 | spl111 | spl112), inference(avatar_split_clause, [status(thm)], [p1246, sdef111, sdef112])).
% 22.25/8.41 cnf(p1247, plain, (distinct_points(sk1,sk2) | distinct_points(sk0,sk0) | distinct_points(sk1,sk2) | ~spl62), inference(resolution, [status(thm)], [p1012, p81])).
% 22.25/8.41 cnf(ssp133, plain, (~spl62 | spl11 | spl112), inference(avatar_split_clause, [status(thm)], [p1247, sdef11, sdef112])).
% 22.25/8.41 cnf(p1248, plain, (distinct_points(sk1,sk2) | distinct_points(X0,sk1) | distinct_points(X0,sk2) | ~spl62), inference(resolution, [status(thm)], [p1012, p90])).
% 22.25/8.41 cnf(ssp134, plain, (~spl62 | spl112 | spl113), inference(avatar_split_clause, [status(thm)], [p1248, sdef112, sdef113])).
% 22.25/8.41 cnf(p1249, plain, (distinct_points(sk1,sk2) | distinct_points(sk0,sk3) | distinct_points(sk2,sk2) | ~spl62), inference(resolution, [status(thm)], [p1012, p96])).
% 22.25/8.41 cnf(ssp135, plain, (~spl62 | spl109 | spl112 | spl114), inference(avatar_split_clause, [status(thm)], [p1249, sdef109, sdef112, sdef114])).
% 22.25/8.41 cnf(p1018, plain, (apart_point_and_line(sk1,line_connecting(sk0,sk3)) | ~spl66), inference(avatar_component_clause, [status(thm)], [sdef66])).
% 22.25/8.41 cnf(p1257, plain, (distinct_points(sk1,sk3) | distinct_points(sk3,sk1) | ~spl66), inference(resolution, [status(thm)], [p1018, p82])).
% 22.25/8.41 cnf(ssp136, plain, (~spl66 | spl26 | spl59), inference(avatar_split_clause, [status(thm)], [p1257, sdef26, sdef59])).
% 22.25/8.41 cnf(p1258, plain, (distinct_points(sk1,sk3) | distinct_points(sk2,sk0) | ~spl66), inference(resolution, [status(thm)], [p1018, p88])).
% 22.25/8.41 cnf(ssp137, plain, (~spl66 | spl24 | spl59), inference(avatar_split_clause, [status(thm)], [p1258, sdef24, sdef59])).
% 22.25/8.41 cnf(p1259, plain, (distinct_points(sk1,sk3) | distinct_points(sk0,sk2) | ~spl66), inference(resolution, [status(thm)], [p1018, p97])).
% 22.25/8.41 cnf(ssp138, plain, (~spl66 | spl59 | spl120), inference(avatar_split_clause, [status(thm)], [p1259, sdef59, sdef120])).
% 22.25/8.41 cnf(p1260, plain, (distinct_points(sk1,sk3) | distinct_points(sk1,X0) | distinct_points(sk3,X0) | ~spl66), inference(resolution, [status(thm)], [p1018, p79])).
% 22.25/8.41 cnf(ssp139, plain, (~spl66 | spl59 | spl117), inference(avatar_split_clause, [status(thm)], [p1260, sdef59, sdef117])).
% 22.25/8.41 cnf(p1261, plain, (distinct_points(sk1,sk3) | distinct_points(sk0,sk0) | distinct_points(sk1,sk3) | ~spl66), inference(resolution, [status(thm)], [p1018, p81])).
% 22.25/8.41 cnf(ssp140, plain, (~spl66 | spl11 | spl59), inference(avatar_split_clause, [status(thm)], [p1261, sdef11, sdef59])).
% 22.25/8.41 cnf(p1262, plain, (distinct_points(sk1,sk3) | distinct_points(X0,sk1) | distinct_points(X0,sk3) | ~spl66), inference(resolution, [status(thm)], [p1018, p90])).
% 22.25/8.41 cnf(ssp141, plain, (~spl66 | spl59 | spl121), inference(avatar_split_clause, [status(thm)], [p1262, sdef59, sdef121])).
% 22.25/8.41 cnf(p1263, plain, (distinct_points(sk1,sk3) | distinct_points(sk2,X0) | distinct_points(sk0,X0) | ~spl66), inference(resolution, [status(thm)], [p1018, p94])).
% 22.25/8.41 cnf(ssp142, plain, (~spl66 | spl59 | spl122), inference(avatar_split_clause, [status(thm)], [p1263, sdef59, sdef122])).
% 22.25/8.41 cnf(p1021, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk0)) | ~spl68), inference(avatar_component_clause, [status(thm)], [sdef68])).
% 22.25/8.41 cnf(p1266, plain, (distinct_points(sk1,sk2) | distinct_points(sk0,sk3) | ~spl68), inference(resolution, [status(thm)], [p1021, p57])).
% 22.25/8.41 cnf(ssp143, plain, (~spl68 | spl112 | spl114), inference(avatar_split_clause, [status(thm)], [p1266, sdef112, sdef114])).
% 22.25/8.41 cnf(p1267, plain, (distinct_points(sk1,sk2) | distinct_points(sk3,X0) | distinct_points(sk0,X0) | ~spl68), inference(resolution, [status(thm)], [p1021, p54])).
% 22.25/8.41 cnf(ssp144, plain, (~spl68 | spl112 | spl124), inference(avatar_split_clause, [status(thm)], [p1267, sdef112, sdef124])).
% 22.25/8.41 cnf(p1268, plain, (distinct_points(sk1,sk2) | distinct_points(sk2,sk2) | distinct_points(sk3,sk0) | ~spl68), inference(resolution, [status(thm)], [p1021, p56])).
% 22.25/8.41 cnf(ssp145, plain, (~spl68 | spl109 | spl112 | spl116), inference(avatar_split_clause, [status(thm)], [p1268, sdef109, sdef112, sdef116])).
% 22.25/8.41 cnf(p1269, plain, (distinct_points(sk1,sk2) | distinct_points(sk2,sk1) | distinct_points(sk0,sk0) | ~spl68), inference(resolution, [status(thm)], [p1021, p61])).
% 22.25/8.41 cnf(ssp146, plain, (~spl68 | spl11 | spl110 | spl112), inference(avatar_split_clause, [status(thm)], [p1269, sdef11, sdef110, sdef112])).
% 22.25/8.41 cnf(p1270, plain, (distinct_points(sk1,sk2) | distinct_points(X0,sk3) | distinct_points(X0,sk0) | ~spl68), inference(resolution, [status(thm)], [p1021, p65])).
% 22.25/8.41 cnf(ssp147, plain, (~spl68 | spl112 | spl125), inference(avatar_split_clause, [status(thm)], [p1270, sdef112, sdef125])).
% 22.25/8.41 cnf(p132, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(X2,sk3), inference(resolution, [status(thm)], [c10, p30])).
% 22.25/8.41 cnf(p1271, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk3) | apart_point_and_line(sk1,X0) | ~spl1), inference(resolution, [status(thm)], [p132, p152])).
% 22.25/8.41 fof(sdef127, definition, (spl127 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk3) | apart_point_and_line(sk1,X0))), introduced(definition, [new_symbols(naming, [spl127])], [avatar_definition])).
% 22.25/8.41 cnf(ssp148, plain, (~spl1 | spl27 | spl127), inference(avatar_split_clause, [status(thm)], [p1271, sdef27, sdef127])).
% 22.25/8.41 cnf(p134, 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(X3,sk1) | distinct_points(X3,X2), inference(resolution, [status(thm)], [c10, p29])).
% 22.25/8.41 cnf(p1309, plain, (apart_point_and_line(sk0,line_connecting(sk2,sk3)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(X2,sk1) | distinct_points(X2,X1) | apart_point_and_line(sk1,X0) | ~spl1), inference(resolution, [status(thm)], [p134, p152])).
% 22.25/8.41 fof(sdef128, definition, (spl128 <=> (apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(X2,sk1) | distinct_points(X2,X1) | apart_point_and_line(sk1,X0))), introduced(definition, [new_symbols(naming, [spl128])], [avatar_definition])).
% 22.25/8.41 cnf(ssp149, plain, (~spl1 | spl0 | spl128), inference(avatar_split_clause, [status(thm)], [p1309, sdef0, sdef128])).
% 22.25/8.41 cnf(p137, plain, ~distinct_lines(X0,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | apart_point_and_line(sk3,X0) | apart_point_and_line(sk3,X1) | distinct_points(sk2,X3) | distinct_points(X2,X3), inference(resolution, [status(thm)], [c10, p34])).
% 22.25/8.41 cnf(p1358, plain, (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,X1) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X1) | distinct_points(sk2,X2) | distinct_points(X0,X2) | apart_point_and_line(sk1,X1) | ~spl1), inference(resolution, [status(thm)], [p137, p152])).
% 22.25/8.41 fof(sdef129, definition, (spl129 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,X1) | apart_point_and_line(sk3,X1) | distinct_points(sk2,X2) | distinct_points(X0,X2) | apart_point_and_line(sk1,X1))), introduced(definition, [new_symbols(naming, [spl129])], [avatar_definition])).
% 22.25/8.41 cnf(ssp150, plain, (~spl1 | spl29 | spl129), inference(avatar_split_clause, [status(thm)], [p1358, sdef29, sdef129])).
% 22.25/8.41 cnf(p138, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk2,X0) | apart_point_and_line(sk2,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(X3,sk3) | distinct_points(X3,X2), inference(resolution, [status(thm)], [c10, p34])).
% 22.25/8.41 cnf(p1374, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(X2,sk3) | distinct_points(X2,X1) | apart_point_and_line(sk1,X0) | ~spl1), inference(resolution, [status(thm)], [p138, p152])).
% 22.25/8.41 fof(sdef130, definition, (spl130 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(X2,sk3) | distinct_points(X2,X1) | apart_point_and_line(sk1,X0))), introduced(definition, [new_symbols(naming, [spl130])], [avatar_definition])).
% 22.25/8.41 cnf(ssp151, plain, (~spl1 | spl27 | spl130), inference(avatar_split_clause, [status(thm)], [p1374, sdef27, sdef130])).
% 22.25/8.41 cnf(p140, plain, ~distinct_lines(X0,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | apart_point_and_line(sk3,X0) | apart_point_and_line(sk3,X1) | distinct_points(X2,sk2), inference(resolution, [status(thm)], [c10, p40])).
% 22.25/8.41 cnf(p1408, plain, (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,X1) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X1) | distinct_points(X0,sk2) | apart_point_and_line(sk1,X1) | ~spl1), inference(resolution, [status(thm)], [p140, p152])).
% 22.25/8.41 fof(sdef131, definition, (spl131 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,X1) | apart_point_and_line(sk3,X1) | distinct_points(X0,sk2) | apart_point_and_line(sk1,X1))), introduced(definition, [new_symbols(naming, [spl131])], [avatar_definition])).
% 22.25/8.41 cnf(ssp152, plain, (~spl1 | spl29 | spl131), inference(avatar_split_clause, [status(thm)], [p1408, sdef29, sdef131])).
% 22.25/8.41 cnf(p1469, plain, (apart_point_and_line(sk1,X0) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk2,X1) | ~spl1), inference(resolution, [status(thm)], [p152, p124])).
% 22.25/8.41 fof(sdef132, definition, (spl132 <=> (apart_point_and_line(sk1,X0) | apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,X0) | distinct_points(sk2,X1))), introduced(definition, [new_symbols(naming, [spl132])], [avatar_definition])).
% 22.25/8.41 cnf(ssp153, plain, (~spl1 | spl29 | spl132), inference(avatar_split_clause, [status(thm)], [p1469, sdef29, sdef132])).
% 22.25/8.41 cnf(p988, plain, (distinct_points(sk1,X0) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | ~spl23), inference(resolution, [status(thm)], [p912, c11])).
% 22.25/8.41 cnf(p1494, plain, (distinct_points(sk1,X0) | distinct_points(X0,sk3) | distinct_points(sk2,sk0) | ~spl23), inference(resolution, [status(thm)], [p988, p48])).
% 22.25/8.41 fof(sdef133, definition, (spl133 <=> (distinct_points(sk1,X0) | distinct_points(X0,sk3))), introduced(definition, [new_symbols(naming, [spl133])], [avatar_definition])).
% 22.25/8.41 cnf(ssp154, plain, (~spl23 | spl24 | spl133), inference(avatar_split_clause, [status(thm)], [p1494, sdef24, sdef133])).
% 22.25/8.41 cnf(p1496, plain, (distinct_points(sk1,X0) | distinct_points(X0,sk3) | distinct_points(sk2,X1) | distinct_points(X1,sk0) | ~spl23), inference(resolution, [status(thm)], [p988, p55])).
% 22.25/8.41 cnf(ssp155, plain, (~spl23 | spl25 | spl133), inference(avatar_split_clause, [status(thm)], [p1496, sdef25, sdef133])).
% 22.25/8.41 cnf(p1497, plain, (distinct_points(sk1,X0) | distinct_points(X0,sk3) | distinct_points(sk3,sk1) | distinct_points(sk0,sk0) | ~spl23), inference(resolution, [status(thm)], [p988, p61])).
% 22.25/8.41 cnf(ssp156, plain, (~spl23 | spl11 | spl26 | spl133), inference(avatar_split_clause, [status(thm)], [p1497, sdef11, sdef26, sdef133])).
% 22.25/8.41 cnf(p150, plain, (distinct_points(sk1,X0) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | ~spl1), inference(resolution, [status(thm)], [c11, p18])).
% 22.25/8.41 cnf(p172, plain, (distinct_points(sk1,X0) | distinct_lines(line_connecting(sk2,sk3),X1) | apart_point_and_line(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p150, c12])).
% 22.25/8.41 cnf(p1499, plain, (distinct_points(sk1,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,sk0)) | distinct_points(X0,sk1) | ~spl1), inference(resolution, [status(thm)], [p172, p63])).
% 22.25/8.41 cnf(ssp157, plain, (~spl1 | spl5 | spl134), inference(avatar_split_clause, [status(thm)], [p1499, sdef5, sdef134])).
% 22.25/8.41 cnf(p70, plain, (distinct_points(sk1,sk2) | ~spl1), inference(resolution, [status(thm)], [p46, p18])).
% 22.25/8.41 cnf(p74, plain, (~apart_point_and_line(X0,line_connecting(sk1,sk2)) | distinct_points(X0,sk1) | ~spl1), inference(resolution, [status(thm)], [p70, c6])).
% 22.25/8.41 cnf(p1501, plain, (distinct_points(sk1,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,sk2)) | distinct_points(X0,sk1) | ~spl1), inference(resolution, [status(thm)], [p172, p74])).
% 22.25/8.41 fof(sdef135, definition, (spl135 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,sk2)))), introduced(definition, [new_symbols(naming, [spl135])], [avatar_definition])).
% 22.25/8.41 cnf(ssp158, plain, (~spl1 | spl134 | spl135), inference(avatar_split_clause, [status(thm)], [p1501, sdef134, sdef135])).
% 22.25/8.41 cnf(p1503, plain, (distinct_points(sk1,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,sk1)) | distinct_points(X0,sk1) | ~spl1), inference(resolution, [status(thm)], [p172, p75])).
% 22.25/8.41 cnf(ssp159, plain, (~spl1 | spl3 | spl134), inference(avatar_split_clause, [status(thm)], [p1503, sdef3, sdef134])).
% 22.25/8.41 cnf(p108, plain, (distinct_points(sk1,sk3) | ~spl1), inference(resolution, [status(thm)], [p76, p18])).
% 22.25/8.41 cnf(p113, plain, (~apart_point_and_line(X0,line_connecting(sk1,sk3)) | distinct_points(X0,sk1) | ~spl1), inference(resolution, [status(thm)], [p108, c6])).
% 22.25/8.41 cnf(p1504, plain, (distinct_points(sk1,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,sk3)) | distinct_points(X0,sk1) | ~spl1), inference(resolution, [status(thm)], [p172, p113])).
% 22.25/8.41 fof(sdef136, definition, (spl136 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,sk3)))), introduced(definition, [new_symbols(naming, [spl136])], [avatar_definition])).
% 22.25/8.41 cnf(ssp160, plain, (~spl1 | spl134 | spl136), inference(avatar_split_clause, [status(thm)], [p1504, sdef134, sdef136])).
% 22.25/8.41 cnf(p169, plain, (distinct_points(sk1,X0) | distinct_points(X0,sk2) | ~spl1), inference(resolution, [status(thm)], [p150, p46])).
% 22.25/8.41 cnf(p173, plain, (distinct_points(X0,sk2) | distinct_points(sk1,X1) | distinct_points(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p169, c3])).
% 22.25/8.41 cnf(p379, plain, (distinct_points(X0,sk2) | distinct_points(X0,sk1) | ~spl1), inference(resolution, [status(thm)], [p173, c0])).
% 22.25/8.41 cnf(p391, plain, (distinct_points(sk2,sk1) | ~spl1), inference(resolution, [status(thm)], [p379, c0])).
% 22.25/8.41 cnf(p409, plain, (~apart_point_and_line(X0,line_connecting(sk2,sk1)) | distinct_points(X0,sk1) | ~spl1), inference(resolution, [status(thm)], [p391, c7])).
% 22.25/8.41 cnf(p1507, plain, (distinct_points(sk1,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk2,sk1)) | distinct_points(X0,sk1) | ~spl1), inference(resolution, [status(thm)], [p172, p409])).
% 22.25/8.41 fof(sdef137, definition, (spl137 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk2,sk1)))), introduced(definition, [new_symbols(naming, [spl137])], [avatar_definition])).
% 22.25/8.41 cnf(ssp161, plain, (~spl1 | spl134 | spl137), inference(avatar_split_clause, [status(thm)], [p1507, sdef134, sdef137])).
% 22.25/8.41 cnf(p170, plain, (distinct_points(sk1,X0) | distinct_points(X0,sk3) | ~spl1), inference(resolution, [status(thm)], [p150, p76])).
% 22.25/8.41 cnf(p179, plain, (distinct_points(X0,sk3) | distinct_points(sk1,X1) | distinct_points(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p170, c3])).
% 22.25/8.41 cnf(p410, plain, (distinct_points(X0,sk3) | distinct_points(X0,sk1) | ~spl1), inference(resolution, [status(thm)], [p179, c0])).
% 22.25/8.41 cnf(p438, plain, (distinct_points(sk3,sk1) | ~spl1), inference(resolution, [status(thm)], [p410, c0])).
% 22.25/8.41 cnf(p444, plain, (~apart_point_and_line(X0,line_connecting(sk3,sk1)) | distinct_points(X0,sk1) | ~spl1), inference(resolution, [status(thm)], [p438, c7])).
% 22.25/8.41 cnf(p1509, plain, (distinct_points(sk1,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk3,sk1)) | distinct_points(X0,sk1) | ~spl1), inference(resolution, [status(thm)], [p172, p444])).
% 22.25/8.41 fof(sdef138, definition, (spl138 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk3,sk1)))), introduced(definition, [new_symbols(naming, [spl138])], [avatar_definition])).
% 22.25/8.41 cnf(ssp162, plain, (~spl1 | spl134 | spl138), inference(avatar_split_clause, [status(thm)], [p1509, sdef134, sdef138])).
% 22.25/8.41 cnf(p47, plain, ~apart_point_and_line(X0,line_connecting(sk1,X1)) | distinct_points(X0,sk1) | distinct_points(sk0,X1), inference(resolution, [status(thm)], [c6, p21])).
% 22.25/8.41 cnf(p1511, plain, (distinct_points(sk1,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,X1)) | distinct_points(X0,sk1) | distinct_points(sk0,X1) | ~spl1), inference(resolution, [status(thm)], [p172, p47])).
% 22.25/8.41 cnf(ssp163, plain, (~spl1 | spl13 | spl134), inference(avatar_split_clause, [status(thm)], [p1511, sdef13, sdef134])).
% 22.25/8.41 cnf(p50, plain, ~apart_point_and_line(X0,line_connecting(sk1,X1)) | distinct_points(X0,sk1) | distinct_points(sk0,X2) | distinct_points(X2,X1), inference(resolution, [status(thm)], [c6, p23])).
% 22.25/8.41 cnf(p1512, plain, (distinct_points(sk1,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,X1)) | distinct_points(X0,sk1) | distinct_points(sk0,X2) | distinct_points(X2,X1) | ~spl1), inference(resolution, [status(thm)], [p172, p50])).
% 22.25/8.41 fof(sdef139, definition, (spl139 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,X0)) | distinct_points(sk0,X1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl139])], [avatar_definition])).
% 22.25/8.41 cnf(ssp164, plain, (~spl1 | spl134 | spl139), inference(avatar_split_clause, [status(thm)], [p1512, sdef134, sdef139])).
% 22.25/8.41 cnf(p83, plain, ~apart_point_and_line(X0,line_connecting(X1,sk1)) | distinct_points(X0,sk1) | distinct_points(sk0,X1), inference(resolution, [status(thm)], [c7, p25])).
% 22.25/8.41 cnf(p1516, plain, (distinct_points(sk1,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(X1,sk1)) | distinct_points(X0,sk1) | distinct_points(sk0,X1) | ~spl1), inference(resolution, [status(thm)], [p172, p83])).
% 22.25/8.41 cnf(ssp165, plain, (~spl1 | spl12 | spl134), inference(avatar_split_clause, [status(thm)], [p1516, sdef12, sdef134])).
% 22.25/8.41 cnf(p92, plain, ~apart_point_and_line(X0,line_connecting(X1,sk1)) | distinct_points(X0,sk1) | distinct_points(X1,sk0), inference(resolution, [status(thm)], [c7, p35])).
% 22.25/8.41 cnf(p1517, plain, (distinct_points(sk1,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(X1,sk1)) | distinct_points(X0,sk1) | distinct_points(X1,sk0) | ~spl1), inference(resolution, [status(thm)], [p172, p92])).
% 22.25/8.41 fof(sdef140, definition, (spl140 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk1)) | distinct_points(X0,sk0))), introduced(definition, [new_symbols(naming, [spl140])], [avatar_definition])).
% 22.25/8.41 cnf(ssp166, plain, (~spl1 | spl134 | spl140), inference(avatar_split_clause, [status(thm)], [p1517, sdef134, sdef140])).
% 22.25/8.41 cnf(p73, plain, (distinct_points(sk1,X0) | distinct_points(sk2,X0) | ~spl1), inference(resolution, [status(thm)], [p70, c3])).
% 22.25/8.41 cnf(p106, plain, (distinct_points(sk1,X0) | ~apart_point_and_line(X1,line_connecting(sk2,X0)) | distinct_points(X1,X0) | ~spl1), inference(resolution, [status(thm)], [p73, c7])).
% 22.25/8.41 cnf(p642, plain, (distinct_points(sk1,X0) | ~apart_point_and_line(sk1,line_connecting(sk2,X0)) | ~spl1), inference(factoring, [status(thm)], [p106])).
% 22.25/8.41 cnf(p1520, plain, (distinct_points(sk1,sk1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk2,X0)) | distinct_points(sk1,X0) | ~spl1), inference(resolution, [status(thm)], [p172, p642])).
% 22.25/8.41 fof(sdef142, definition, (spl142 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk2,X0)) | distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl142])], [avatar_definition])).
% 22.25/8.41 cnf(ssp167, plain, (~spl1 | spl141 | spl142), inference(avatar_split_clause, [status(thm)], [p1520, sdef141, sdef142])).
% 22.25/8.41 cnf(p112, plain, (distinct_points(sk1,X0) | distinct_points(sk3,X0) | ~spl1), inference(resolution, [status(thm)], [p108, c3])).
% 22.25/8.41 cnf(p120, plain, (distinct_points(sk1,X0) | ~apart_point_and_line(X1,line_connecting(sk3,X0)) | distinct_points(X1,X0) | ~spl1), inference(resolution, [status(thm)], [p112, c7])).
% 22.25/8.41 cnf(p644, plain, (distinct_points(sk1,X0) | ~apart_point_and_line(sk1,line_connecting(sk3,X0)) | ~spl1), inference(factoring, [status(thm)], [p120])).
% 22.25/8.41 cnf(p1524, plain, (distinct_points(sk1,sk1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk3,X0)) | distinct_points(sk1,X0) | ~spl1), inference(resolution, [status(thm)], [p172, p644])).
% 22.25/8.41 fof(sdef143, definition, (spl143 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk3,X0)) | distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl143])], [avatar_definition])).
% 22.25/8.41 cnf(ssp168, plain, (~spl1 | spl141 | spl143), inference(avatar_split_clause, [status(thm)], [p1524, sdef141, sdef143])).
% 22.25/8.41 cnf(p89, plain, ~apart_point_and_line(X0,line_connecting(X1,sk1)) | distinct_points(X0,sk1) | distinct_points(sk0,X2) | distinct_points(X1,X2), inference(resolution, [status(thm)], [c7, p29])).
% 22.25/8.41 cnf(p1529, plain, (distinct_points(sk1,X0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(X1,sk1)) | distinct_points(X0,sk1) | distinct_points(sk0,X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p172, p89])).
% 22.25/8.41 fof(sdef144, definition, (spl144 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk1)) | distinct_points(sk0,X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl144])], [avatar_definition])).
% 22.25/8.41 cnf(ssp169, plain, (~spl1 | spl134 | spl144), inference(avatar_split_clause, [status(thm)], [p1529, sdef134, sdef144])).
% 22.25/8.41 cnf(p1532, plain, (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,X1) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X1) | ~spl1), inference(resolution, [status(thm)], [p172, p122])).
% 22.25/8.41 fof(sdef145, definition, (spl145 <=> (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(sk2,X1) | apart_point_and_line(sk3,X1))), introduced(definition, [new_symbols(naming, [spl145])], [avatar_definition])).
% 22.25/8.41 cnf(ssp170, plain, (~spl1 | spl27 | spl29 | spl145), inference(avatar_split_clause, [status(thm)], [p1532, sdef27, sdef29, sdef145])).
% 22.25/8.41 cnf(p1534, plain, (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X1) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X1) | distinct_points(sk2,X2) | ~spl1), inference(resolution, [status(thm)], [p172, p124])).
% 22.25/8.41 fof(sdef146, definition, (spl146 <=> (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(sk3,X1) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X1) | distinct_points(sk2,X2))), introduced(definition, [new_symbols(naming, [spl146])], [avatar_definition])).
% 22.25/8.41 cnf(ssp171, plain, (~spl1 | spl29 | spl146), inference(avatar_split_clause, [status(thm)], [p1534, sdef29, sdef146])).
% 22.25/8.41 cnf(p1536, plain, (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(sk0,line_connecting(sk2,sk3)) | apart_point_and_line(sk0,X1) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X1) | distinct_points(sk1,X3) | distinct_points(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p172, p125])).
% 22.25/8.41 fof(sdef147, definition, (spl147 <=> (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(sk0,X1) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X1) | distinct_points(sk1,X3) | distinct_points(X2,X3))), introduced(definition, [new_symbols(naming, [spl147])], [avatar_definition])).
% 22.25/8.41 cnf(ssp172, plain, (~spl1 | spl0 | spl147), inference(avatar_split_clause, [status(thm)], [p1536, sdef0, sdef147])).
% 22.25/8.41 cnf(p1538, plain, (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(sk0,line_connecting(sk2,sk3)) | apart_point_and_line(sk0,X1) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X1) | distinct_points(X2,sk1) | ~spl1), inference(resolution, [status(thm)], [p172, p128])).
% 22.25/8.41 fof(sdef148, definition, (spl148 <=> (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(sk0,X1) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X1) | distinct_points(X2,sk1))), introduced(definition, [new_symbols(naming, [spl148])], [avatar_definition])).
% 22.25/8.41 cnf(ssp173, plain, (~spl1 | spl0 | spl148), inference(avatar_split_clause, [status(thm)], [p1538, sdef0, sdef148])).
% 22.25/8.41 cnf(p1540, plain, (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,X1) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X1) | distinct_points(sk3,X3) | distinct_points(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p172, p129])).
% 22.25/8.41 fof(sdef149, definition, (spl149 <=> (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(sk2,X1) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X1) | distinct_points(sk3,X3) | distinct_points(X2,X3))), introduced(definition, [new_symbols(naming, [spl149])], [avatar_definition])).
% 22.25/8.41 cnf(ssp174, plain, (~spl1 | spl27 | spl149), inference(avatar_split_clause, [status(thm)], [p1540, sdef27, sdef149])).
% 22.25/8.41 cnf(p1542, plain, (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X1) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X1) | distinct_points(sk2,X3) | distinct_points(X3,X2) | ~spl1), inference(resolution, [status(thm)], [p172, p130])).
% 22.25/8.41 fof(sdef150, definition, (spl150 <=> (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(sk3,X1) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X1) | distinct_points(sk2,X3) | distinct_points(X3,X2))), introduced(definition, [new_symbols(naming, [spl150])], [avatar_definition])).
% 22.25/8.41 cnf(ssp175, plain, (~spl1 | spl29 | spl150), inference(avatar_split_clause, [status(thm)], [p1542, sdef29, sdef150])).
% 22.25/8.41 cnf(p1545, plain, (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,X1) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X1) | distinct_points(X2,sk3) | ~spl1), inference(resolution, [status(thm)], [p172, p132])).
% 22.25/8.41 fof(sdef151, definition, (spl151 <=> (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(sk2,X1) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X1) | distinct_points(X2,sk3))), introduced(definition, [new_symbols(naming, [spl151])], [avatar_definition])).
% 22.25/8.41 cnf(ssp176, plain, (~spl1 | spl27 | spl151), inference(avatar_split_clause, [status(thm)], [p1545, sdef27, sdef151])).
% 22.25/8.41 cnf(p1547, plain, (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(sk0,line_connecting(sk2,sk3)) | apart_point_and_line(sk0,X1) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X1) | distinct_points(X3,sk1) | distinct_points(X3,X2) | ~spl1), inference(resolution, [status(thm)], [p172, p134])).
% 22.25/8.41 fof(sdef152, definition, (spl152 <=> (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(sk0,X1) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X1) | distinct_points(X3,sk1) | distinct_points(X3,X2))), introduced(definition, [new_symbols(naming, [spl152])], [avatar_definition])).
% 22.25/8.41 cnf(ssp177, plain, (~spl1 | spl0 | spl152), inference(avatar_split_clause, [status(thm)], [p1547, sdef0, sdef152])).
% 22.25/8.41 cnf(p1550, plain, (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X1) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X1) | distinct_points(sk2,X3) | distinct_points(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p172, p137])).
% 22.25/8.41 fof(sdef153, definition, (spl153 <=> (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X1) | apart_point_and_line(sk3,X1) | distinct_points(sk2,X3) | distinct_points(X2,X3))), introduced(definition, [new_symbols(naming, [spl153])], [avatar_definition])).
% 22.25/8.41 cnf(ssp178, plain, (~spl1 | spl29 | spl153), inference(avatar_split_clause, [status(thm)], [p1550, sdef29, sdef153])).
% 22.25/8.41 cnf(p1552, plain, (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,X1) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X1) | distinct_points(X3,sk3) | distinct_points(X3,X2) | ~spl1), inference(resolution, [status(thm)], [p172, p138])).
% 22.25/8.41 fof(sdef154, definition, (spl154 <=> (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(sk2,X1) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X1) | distinct_points(X3,sk3) | distinct_points(X3,X2))), introduced(definition, [new_symbols(naming, [spl154])], [avatar_definition])).
% 22.25/8.41 cnf(ssp179, plain, (~spl1 | spl27 | spl154), inference(avatar_split_clause, [status(thm)], [p1552, sdef27, sdef154])).
% 22.25/8.41 cnf(p1555, plain, (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X1) | apart_point_and_line(sk3,line_connecting(sk2,sk3)) | apart_point_and_line(sk3,X1) | distinct_points(X2,sk2) | ~spl1), inference(resolution, [status(thm)], [p172, p140])).
% 22.25/8.41 fof(sdef155, definition, (spl155 <=> (distinct_points(sk1,X0) | apart_point_and_line(X0,X1) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X1) | apart_point_and_line(sk3,X1) | distinct_points(X2,sk2))), introduced(definition, [new_symbols(naming, [spl155])], [avatar_definition])).
% 22.25/8.41 cnf(ssp180, plain, (~spl1 | spl29 | spl155), inference(avatar_split_clause, [status(thm)], [p1555, sdef29, sdef155])).
% 22.25/8.41 cnf(p174, plain, (distinct_points(X0,sk2) | ~apart_point_and_line(X1,line_connecting(sk1,X0)) | distinct_points(X1,sk1) | ~spl1), inference(resolution, [status(thm)], [p169, c6])).
% 22.25/8.41 cnf(p1580, plain, (distinct_points(X0,sk2) | distinct_points(X1,sk1) | distinct_points(sk1,X1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,X0)) | ~spl1), inference(resolution, [status(thm)], [p174, p172])).
% 22.25/8.41 fof(sdef156, definition, (spl156 <=> (distinct_points(X0,sk2) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,X0)))), introduced(definition, [new_symbols(naming, [spl156])], [avatar_definition])).
% 22.25/8.41 cnf(ssp181, plain, (~spl1 | spl134 | spl156), inference(avatar_split_clause, [status(thm)], [p1580, sdef134, sdef156])).
% 22.25/8.41 cnf(sat_ref, plain, $false, inference(avatar_sat_refutation, [status(thm)], [ssp0, ssp1, ssp2, ssp3, ssp4, ssp5, ssp6, ssp7, ssp8, ssp9, ssp10, ssp11, ssp12, ssp13, ssp14, ssp15, ssp16, ssp17, ssp18, ssp19, ssp20, ssp21, ssp22, ssp23, ssp24, ssp25, ssp26, ssp27, ssp28, ssp29, ssp30, ssp31, ssp32, ssp33, ssp34, ssp35, ssp36, ssp37, ssp38, ssp39, ssp40, ssp41, ssp42, ssp43, ssp44, ssp45, ssp46, ssp47, ssp48, ssp49, ssp50, ssp51, ssp52, ssp53, ssp54, ssp55, ssp56, ssp57, ssp58, ssp59, ssp60, ssp61, ssp62, ssp63, ssp64, ssp65, ssp66, ssp67, ssp68, ssp69, ssp70, ssp71, ssp72, ssp73, ssp74, ssp75, ssp76, ssp77, ssp78, ssp79, ssp80, ssp81, ssp82, ssp83, ssp84, ssp85, ssp86, ssp87, ssp88, ssp89, ssp90, ssp91, ssp92, ssp93, ssp94, ssp95, ssp96, ssp97, ssp98, ssp99, ssp100, ssp101, ssp102, ssp103, ssp104, ssp105, ssp106, ssp107, ssp108, ssp109, ssp110, ssp111, ssp112, ssp113, ssp114, ssp115, ssp116, ssp117, ssp118, ssp119, ssp120, ssp121, ssp122, ssp123, ssp124, ssp125, ssp126, ssp127, ssp128, ssp129, ssp130, ssp131, ssp132, ssp133, ssp134, ssp135, ssp136, ssp137, ssp138, ssp139, ssp140, ssp141, ssp142, ssp143, ssp144, ssp145, ssp146, ssp147, ssp148, ssp149, ssp150, ssp151, ssp152, ssp153, ssp154, ssp155, ssp156, ssp157, ssp158, ssp159, ssp160, ssp161, ssp162, ssp163, ssp164, ssp165, ssp166, ssp167, ssp168, ssp169, ssp170, ssp171, ssp172, ssp173, ssp174, ssp175, ssp176, ssp177, ssp178, ssp179, ssp180, ssp181, sct0, sct1, sct2, sct3, sct4, sct5, sct6, sct7, sct8, sct9, sct10, sct11, sct12])).
% 22.25/8.41 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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