%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO177+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:17:16 PM UTC 2026
% Result : Theorem 20.44s 13.22s
% Output : Proof 20.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO177+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/10.57 % Computer : n014.cluster.edu
% 0.09/10.57 % Model : x86_64 x86_64
% 0.09/10.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.57 % Memory : 8046.5625MB
% 0.09/10.57 % OS : Linux 6.8.0-71-generic
% 0.09/10.57 % CPULimit : 300
% 0.09/10.57 % WCLimit : 300
% 0.09/10.57 % DateTime : Wed Sep 23 11:17:45 UTC 2026
% 0.09/10.57 % CPUTime :
% 0.09/10.57 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 20.44/13.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.44/13.22 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.44/13.22 fof(sdef2, definition, (spl2 <=> (distinct_points(sk0,sk0))), introduced(definition, [new_symbols(naming, [spl2])], [avatar_definition])).
% 20.44/13.22 cnf(p647, plain, (distinct_points(sk0,sk0) | ~spl2), inference(avatar_component_clause, [status(thm)], [sdef2])).
% 20.44/13.22 fof(f0, axiom, ! [X] : ~ distinct_points(X,X), file('/export/starexec/sandbox/benchmark/theBenchmark.p', apart1)).
% 20.44/13.22 fof(f0_nnf, plain, ! [X] : (~(distinct_points(X,X))), inference(nnf_transformation, [status(thm)], [f0])).
% 20.44/13.22 fof(f0_sk, plain, ! [X] : (~(distinct_points(X,X))), inference(skolemisation, [status(esa)], [f0_nnf])).
% 20.44/13.22 cnf(c0, plain, ~distinct_points(X0,X0), inference(cnf_transformation, [status(esa)], [f0_sk])).
% 20.44/13.22 cnf(p692, plain, ($false | ~spl2), inference(resolution, [status(thm)], [p647, c0])).
% 20.44/13.22 cnf(sct0, plain, (~spl2), inference(avatar_contradiction_clause, [status(thm)], [p692])).
% 20.44/13.22 fof(sdef17, definition, (spl17 <=> (apart_point_and_line(sk2,line_connecting(sk2,sk3)))), introduced(definition, [new_symbols(naming, [spl17])], [avatar_definition])).
% 20.44/13.22 cnf(p698, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | ~spl17), inference(avatar_component_clause, [status(thm)], [sdef17])).
% 20.44/13.22 fof(f6, axiom, ! [X,Y] : ( distinct_points(X,Y) => ~ apart_point_and_line(X,line_connecting(X,Y)) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ci1)).
% 20.44/13.22 fof(f6_nnf, plain, ! [X,Y] : ((~(distinct_points(X,Y)) | ~(apart_point_and_line(X,line_connecting(X,Y))))), inference(nnf_transformation, [status(thm)], [f6])).
% 20.44/13.22 fof(f6_sk, plain, ! [X,Y] : ((~(distinct_points(X,Y)) | ~(apart_point_and_line(X,line_connecting(X,Y))))), inference(skolemisation, [status(esa)], [f6_nnf])).
% 20.44/13.22 cnf(c6, plain, ~distinct_points(X0,X1) | ~apart_point_and_line(X0,line_connecting(X0,X1)), inference(cnf_transformation, [status(esa)], [f6_sk])).
% 20.44/13.22 fof(f14, 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)).
% 20.44/13.22 fof(f14_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)], [f14])).
% 20.44/13.22 fof(f14_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)], [f14_neg])).
% 20.44/13.22 fof(f14_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])], [f14_nnf])).
% 20.44/13.22 cnf(c15, plain, distinct_points(sk2,sk3), inference(cnf_transformation, [status(esa)], [f14_sk])).
% 20.44/13.22 cnf(p46, plain, ~apart_point_and_line(sk2,line_connecting(sk2,sk3)), inference(resolution, [status(thm)], [c6, c15])).
% 20.44/13.22 cnf(p717, plain, ($false | ~spl17), inference(resolution, [status(thm)], [p698, p46])).
% 20.44/13.22 cnf(sct1, plain, (~spl17), inference(avatar_contradiction_clause, [status(thm)], [p717])).
% 20.44/13.22 fof(sdef19, definition, (spl19 <=> (apart_point_and_line(sk3,line_connecting(sk2,sk3)))), introduced(definition, [new_symbols(naming, [spl19])], [avatar_definition])).
% 20.44/13.22 cnf(p700, plain, (apart_point_and_line(sk3,line_connecting(sk2,sk3)) | ~spl19), inference(avatar_component_clause, [status(thm)], [sdef19])).
% 20.44/13.22 fof(f7, axiom, ! [X,Y] : ( distinct_points(X,Y) => ~ apart_point_and_line(Y,line_connecting(X,Y)) ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ci2)).
% 20.44/13.22 fof(f7_nnf, plain, ! [X,Y] : ((~(distinct_points(X,Y)) | ~(apart_point_and_line(Y,line_connecting(X,Y))))), inference(nnf_transformation, [status(thm)], [f7])).
% 20.44/13.22 fof(f7_sk, plain, ! [X,Y] : ((~(distinct_points(X,Y)) | ~(apart_point_and_line(Y,line_connecting(X,Y))))), inference(skolemisation, [status(esa)], [f7_nnf])).
% 20.44/13.22 cnf(c7, plain, ~distinct_points(X0,X1) | ~apart_point_and_line(X1,line_connecting(X0,X1)), inference(cnf_transformation, [status(esa)], [f7_sk])).
% 20.44/13.22 cnf(p70, plain, ~apart_point_and_line(sk3,line_connecting(sk2,sk3)), inference(resolution, [status(thm)], [c7, c15])).
% 20.44/13.22 cnf(p718, plain, ($false | ~spl19), inference(resolution, [status(thm)], [p700, p70])).
% 20.44/13.22 cnf(sct2, plain, (~spl19), inference(avatar_contradiction_clause, [status(thm)], [p718])).
% 20.44/13.22 fof(sdef22, definition, (spl22 <=> (apart_point_and_line(sk2,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl22])], [avatar_definition])).
% 20.44/13.22 cnf(p706, plain, (apart_point_and_line(sk2,line_connecting(sk0,sk1)) | ~spl22), inference(avatar_component_clause, [status(thm)], [sdef22])).
% 20.44/13.22 cnf(c17, plain, ~apart_point_and_line(sk2,line_connecting(sk0,sk1)), inference(cnf_transformation, [status(esa)], [f14_sk])).
% 20.44/13.22 cnf(p719, plain, ($false | ~spl22), inference(resolution, [status(thm)], [p706, c17])).
% 20.44/13.22 cnf(sct3, plain, (~spl22), inference(avatar_contradiction_clause, [status(thm)], [p719])).
% 20.44/13.22 fof(sdef23, definition, (spl23 <=> (apart_point_and_line(sk3,line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl23])], [avatar_definition])).
% 20.44/13.22 cnf(p707, plain, (apart_point_and_line(sk3,line_connecting(sk0,sk1)) | ~spl23), inference(avatar_component_clause, [status(thm)], [sdef23])).
% 20.44/13.22 cnf(c18, plain, ~apart_point_and_line(sk3,line_connecting(sk0,sk1)), inference(cnf_transformation, [status(esa)], [f14_sk])).
% 20.44/13.22 cnf(p720, plain, ($false | ~spl23), inference(resolution, [status(thm)], [p707, c18])).
% 20.44/13.22 cnf(sct4, plain, (~spl23), inference(avatar_contradiction_clause, [status(thm)], [p720])).
% 20.44/13.22 fof(sdef32, definition, (spl32 <=> (distinct_points(sk2,sk2))), introduced(definition, [new_symbols(naming, [spl32])], [avatar_definition])).
% 20.44/13.22 cnf(p735, plain, (distinct_points(sk2,sk2) | ~spl32), inference(avatar_component_clause, [status(thm)], [sdef32])).
% 20.44/13.22 cnf(p753, plain, ($false | ~spl32), inference(resolution, [status(thm)], [p735, c0])).
% 20.44/13.22 cnf(sct5, plain, (~spl32), inference(avatar_contradiction_clause, [status(thm)], [p753])).
% 20.44/13.22 fof(sdef31, definition, (spl31 <=> (distinct_points(sk0,sk3))), introduced(definition, [new_symbols(naming, [spl31])], [avatar_definition])).
% 20.44/13.22 cnf(p734, plain, (distinct_points(sk0,sk3) | ~spl31), inference(avatar_component_clause, [status(thm)], [sdef31])).
% 20.44/13.22 cnf(p751, plain, (~apart_point_and_line(sk3,line_connecting(sk0,sk3)) | ~spl31), inference(resolution, [status(thm)], [p734, c7])).
% 20.44/13.22 fof(sdef29, definition, (spl29 <=> (apart_point_and_line(sk3,line_connecting(sk0,sk3)))), introduced(definition, [new_symbols(naming, [spl29])], [avatar_definition])).
% 20.44/13.22 cnf(p716, plain, (apart_point_and_line(sk3,line_connecting(sk0,sk3)) | ~spl29), inference(avatar_component_clause, [status(thm)], [sdef29])).
% 20.44/13.22 cnf(p782, plain, ($false | ~spl29 | ~spl31), inference(resolution, [status(thm)], [p751, p716])).
% 20.44/13.22 cnf(sct6, plain, (~spl29 | ~spl31), inference(avatar_contradiction_clause, [status(thm)], [p782])).
% 20.44/13.22 fof(sdef60, definition, (spl60 <=> (apart_point_and_line(sk3,line_connecting(sk3,sk0)))), introduced(definition, [new_symbols(naming, [spl60])], [avatar_definition])).
% 20.44/13.22 cnf(p871, plain, (apart_point_and_line(sk3,line_connecting(sk3,sk0)) | ~spl60), inference(avatar_component_clause, [status(thm)], [sdef60])).
% 20.44/13.22 fof(sdef47, definition, (spl47 <=> (distinct_points(sk3,sk0))), introduced(definition, [new_symbols(naming, [spl47])], [avatar_definition])).
% 20.44/13.22 cnf(p809, plain, (distinct_points(sk3,sk0) | ~spl47), inference(avatar_component_clause, [status(thm)], [sdef47])).
% 20.44/13.22 cnf(p825, plain, (~apart_point_and_line(sk3,line_connecting(sk3,sk0)) | ~spl47), inference(resolution, [status(thm)], [p809, c6])).
% 20.44/13.22 cnf(p908, plain, ($false | ~spl47 | ~spl60), inference(resolution, [status(thm)], [p871, p825])).
% 20.44/13.22 cnf(sct7, plain, (~spl47 | ~spl60), inference(avatar_contradiction_clause, [status(thm)], [p908])).
% 20.44/13.22 fof(sdef64, definition, (spl64 <=> (apart_point_and_line(sk0,line_connecting(sk3,sk0)))), introduced(definition, [new_symbols(naming, [spl64])], [avatar_definition])).
% 20.44/13.22 cnf(p878, plain, (apart_point_and_line(sk0,line_connecting(sk3,sk0)) | ~spl64), inference(avatar_component_clause, [status(thm)], [sdef64])).
% 20.44/13.22 cnf(p826, plain, (~apart_point_and_line(sk0,line_connecting(sk3,sk0)) | ~spl47), inference(resolution, [status(thm)], [p809, c7])).
% 20.44/13.22 cnf(p923, plain, ($false | ~spl47 | ~spl64), inference(resolution, [status(thm)], [p878, p826])).
% 20.44/13.22 cnf(sct8, plain, (~spl47 | ~spl64), inference(avatar_contradiction_clause, [status(thm)], [p923])).
% 20.44/13.22 fof(sdef80, definition, (spl80 <=> (apart_point_and_line(sk0,line_connecting(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl80])], [avatar_definition])).
% 20.44/13.22 cnf(p1046, plain, (apart_point_and_line(sk0,line_connecting(sk1,sk0)) | ~spl80), inference(avatar_component_clause, [status(thm)], [sdef80])).
% 20.44/13.22 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)).
% 20.44/13.22 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])).
% 20.44/13.22 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])).
% 20.44/13.22 cnf(c3, plain, ~distinct_points(X0,X1) | distinct_points(X0,X2) | distinct_points(X1,X2), inference(cnf_transformation, [status(esa)], [f3_sk])).
% 20.44/13.22 cnf(c14, plain, distinct_points(sk0,sk1), inference(cnf_transformation, [status(esa)], [f14_sk])).
% 20.44/13.22 cnf(p21, plain, distinct_points(sk0,X0) | distinct_points(sk1,X0), inference(resolution, [status(thm)], [c3, c14])).
% 20.44/13.22 cnf(p23, plain, distinct_points(sk0,X0) | distinct_points(sk1,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p21, c3])).
% 20.44/13.22 cnf(p25, plain, distinct_points(sk0,X0) | distinct_points(X0,sk1), inference(resolution, [status(thm)], [p23, c0])).
% 20.44/13.22 cnf(p29, plain, distinct_points(X0,sk1) | distinct_points(sk0,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p25, c3])).
% 20.44/13.22 cnf(p35, plain, distinct_points(X0,sk1) | distinct_points(X0,sk0), inference(resolution, [status(thm)], [p29, c0])).
% 20.44/13.22 cnf(p38, plain, distinct_points(sk1,sk0), inference(resolution, [status(thm)], [p35, c0])).
% 20.44/13.22 cnf(p87, plain, ~apart_point_and_line(sk0,line_connecting(sk1,sk0)), inference(resolution, [status(thm)], [c7, p38])).
% 20.44/13.22 cnf(p1068, plain, ($false | ~spl80), inference(resolution, [status(thm)], [p1046, p87])).
% 20.44/13.22 cnf(sct9, plain, (~spl80), inference(avatar_contradiction_clause, [status(thm)], [p1068])).
% 20.44/13.22 fof(sdef81, definition, (spl81 <=> (apart_point_and_line(sk1,line_connecting(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl81])], [avatar_definition])).
% 20.44/13.22 cnf(p1047, plain, (apart_point_and_line(sk1,line_connecting(sk1,sk0)) | ~spl81), inference(avatar_component_clause, [status(thm)], [sdef81])).
% 20.44/13.22 cnf(p63, plain, ~apart_point_and_line(sk1,line_connecting(sk1,sk0)), inference(resolution, [status(thm)], [c6, p38])).
% 20.44/13.22 cnf(p1084, plain, ($false | ~spl81), inference(resolution, [status(thm)], [p1047, p63])).
% 20.44/13.22 cnf(sct10, plain, (~spl81), inference(avatar_contradiction_clause, [status(thm)], [p1084])).
% 20.44/13.22 fof(sdef92, definition, (spl92 <=> (distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl92])], [avatar_definition])).
% 20.44/13.22 cnf(p1099, plain, (distinct_points(sk0,X0) | ~spl92), inference(avatar_component_clause, [status(thm)], [sdef92])).
% 20.44/13.22 cnf(p1100, plain, ($false | ~spl92), inference(resolution, [status(thm)], [p1099, c0])).
% 20.44/13.22 cnf(sct11, plain, (~spl92), inference(avatar_contradiction_clause, [status(thm)], [p1100])).
% 20.44/13.22 fof(sdef93, definition, (spl93 <=> (distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl93])], [avatar_definition])).
% 20.44/13.22 cnf(p1109, plain, (distinct_points(sk1,X0) | ~spl93), inference(avatar_component_clause, [status(thm)], [sdef93])).
% 20.44/13.22 cnf(p1111, plain, ($false | ~spl93), inference(resolution, [status(thm)], [p1109, c0])).
% 20.44/13.22 cnf(sct12, plain, (~spl93), inference(avatar_contradiction_clause, [status(thm)], [p1111])).
% 20.44/13.22 fof(sdef107, definition, (spl107 <=> (distinct_points(sk0,X0) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl107])], [avatar_definition])).
% 20.44/13.22 cnf(p1156, plain, (distinct_points(sk0,X0) | distinct_points(sk0,X0) | ~spl107), inference(avatar_component_clause, [status(thm)], [sdef107])).
% 20.44/13.22 cnf(p1180, plain, (distinct_points(sk0,X0) | ~spl107), inference(factoring, [status(thm)], [p1156])).
% 20.44/13.22 cnf(p1181, plain, ($false | ~spl107), inference(resolution, [status(thm)], [p1180, c0])).
% 20.44/13.22 cnf(sct13, plain, (~spl107), inference(avatar_contradiction_clause, [status(thm)], [p1181])).
% 20.44/13.22 fof(sdef117, definition, (spl117 <=> (distinct_points(sk1,sk1))), introduced(definition, [new_symbols(naming, [spl117])], [avatar_definition])).
% 20.44/13.22 cnf(p1261, plain, (distinct_points(sk1,sk1) | ~spl117), inference(avatar_component_clause, [status(thm)], [sdef117])).
% 20.44/13.22 cnf(p1340, plain, ($false | ~spl117), inference(resolution, [status(thm)], [p1261, c0])).
% 20.44/13.22 cnf(sct14, plain, (~spl117), inference(avatar_contradiction_clause, [status(thm)], [p1340])).
% 20.44/13.22 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)], [f14_sk])).
% 20.44/13.22 fof(sdef0, definition, (spl0 <=> (apart_point_and_line(sk0,line_connecting(sk2,sk3)))), introduced(definition, [new_symbols(naming, [spl0])], [avatar_definition])).
% 20.44/13.22 fof(sdef1, definition, (spl1 <=> (apart_point_and_line(sk1,line_connecting(sk2,sk3)))), introduced(definition, [new_symbols(naming, [spl1])], [avatar_definition])).
% 20.44/13.22 cnf(ssp0, plain, (spl0 | spl1), inference(avatar_split_clause, [status(thm)], [c16, sdef0, sdef1])).
% 20.44/13.22 fof(f11, 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)).
% 20.44/13.22 fof(f11_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)], [f11])).
% 20.44/13.22 fof(f11_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)], [f11_nnf])).
% 20.44/13.22 cnf(c11, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,X2) | apart_point_and_line(X2,X1), inference(cnf_transformation, [status(esa)], [f11_sk])).
% 20.44/13.22 cnf(p17, plain, (apart_point_and_line(sk0,line_connecting(sk2,sk3)) | ~spl0), inference(avatar_component_clause, [status(thm)], [sdef0])).
% 20.44/13.22 cnf(p113, plain, (distinct_points(sk0,X0) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | ~spl0), inference(resolution, [status(thm)], [c11, p17])).
% 20.44/13.22 fof(f12, 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)).
% 20.44/13.22 fof(f12_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)], [f12])).
% 20.44/13.22 fof(f12_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)], [f12_nnf])).
% 20.44/13.22 cnf(c12, plain, ~apart_point_and_line(X0,X1) | distinct_lines(X1,X2) | apart_point_and_line(X0,X2), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 20.44/13.22 cnf(p120, plain, (distinct_points(sk0,X0) | distinct_lines(line_connecting(sk2,sk3),X1) | apart_point_and_line(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p113, c12])).
% 20.44/13.22 cnf(p45, plain, ~apart_point_and_line(sk0,line_connecting(sk0,sk1)), inference(resolution, [status(thm)], [c6, c14])).
% 20.44/13.22 cnf(p646, plain, (distinct_points(sk0,sk0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,sk1)) | ~spl0), inference(resolution, [status(thm)], [p120, p45])).
% 20.44/13.22 fof(sdef3, definition, (spl3 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,sk1)))), introduced(definition, [new_symbols(naming, [spl3])], [avatar_definition])).
% 20.44/13.22 cnf(ssp1, plain, (~spl0 | spl2 | spl3), inference(avatar_split_clause, [status(thm)], [p646, sdef2, sdef3])).
% 20.44/13.22 cnf(p649, plain, (distinct_points(sk0,sk0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,sk0)) | ~spl0), inference(resolution, [status(thm)], [p120, p87])).
% 20.44/13.22 fof(sdef4, definition, (spl4 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl4])], [avatar_definition])).
% 20.44/13.22 cnf(ssp2, plain, (~spl0 | spl2 | spl4), inference(avatar_split_clause, [status(thm)], [p649, sdef2, sdef4])).
% 20.44/13.22 cnf(p52, plain, ~apart_point_and_line(sk0,line_connecting(sk0,X0)) | distinct_points(X0,sk1), inference(resolution, [status(thm)], [c6, p25])).
% 20.44/13.22 cnf(p651, plain, (distinct_points(sk0,sk0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X0)) | distinct_points(X0,sk1) | ~spl0), inference(resolution, [status(thm)], [p120, p52])).
% 20.44/13.22 fof(sdef5, definition, (spl5 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X0)) | distinct_points(X0,sk1))), introduced(definition, [new_symbols(naming, [spl5])], [avatar_definition])).
% 20.44/13.22 cnf(ssp3, plain, (~spl0 | spl2 | spl5), inference(avatar_split_clause, [status(thm)], [p651, sdef2, sdef5])).
% 20.44/13.22 cnf(p117, plain, (distinct_points(sk0,sk2) | ~spl0), inference(resolution, [status(thm)], [p113, p46])).
% 20.44/13.22 cnf(p122, plain, (~apart_point_and_line(sk0,line_connecting(sk0,sk2)) | ~spl0), inference(resolution, [status(thm)], [p117, c6])).
% 20.44/13.22 cnf(p657, plain, (distinct_points(sk0,sk0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,sk2)) | ~spl0), inference(resolution, [status(thm)], [p120, p122])).
% 20.44/13.22 fof(sdef6, definition, (spl6 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl6])], [avatar_definition])).
% 20.44/13.22 cnf(ssp4, plain, (~spl0 | spl2 | spl6), inference(avatar_split_clause, [status(thm)], [p657, sdef2, sdef6])).
% 20.44/13.22 cnf(p118, plain, (distinct_points(sk0,sk3) | ~spl0), inference(resolution, [status(thm)], [p113, p70])).
% 20.44/13.22 cnf(p126, plain, (~apart_point_and_line(sk0,line_connecting(sk0,sk3)) | ~spl0), inference(resolution, [status(thm)], [p118, c6])).
% 20.44/13.22 cnf(p659, plain, (distinct_points(sk0,sk0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,sk3)) | ~spl0), inference(resolution, [status(thm)], [p120, p126])).
% 20.44/13.22 fof(sdef7, definition, (spl7 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,sk3)))), introduced(definition, [new_symbols(naming, [spl7])], [avatar_definition])).
% 20.44/13.22 cnf(ssp5, plain, (~spl0 | spl2 | spl7), inference(avatar_split_clause, [status(thm)], [p659, sdef2, sdef7])).
% 20.44/13.22 cnf(p39, plain, distinct_points(X0,sk0) | distinct_points(X0,X1) | distinct_points(sk1,X1), inference(resolution, [status(thm)], [p35, c3])).
% 20.44/13.22 cnf(p245, plain, distinct_points(X0,sk0) | distinct_points(sk1,X0), inference(resolution, [status(thm)], [p39, c0])).
% 20.44/13.22 cnf(p258, plain, distinct_points(sk1,X0) | ~apart_point_and_line(sk0,line_connecting(X0,sk0)), inference(resolution, [status(thm)], [p245, c7])).
% 20.44/13.22 cnf(p663, plain, (distinct_points(sk0,sk0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk0)) | distinct_points(sk1,X0) | ~spl0), inference(resolution, [status(thm)], [p120, p258])).
% 20.44/13.22 fof(sdef8, definition, (spl8 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk0)) | distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl8])], [avatar_definition])).
% 20.44/13.22 cnf(ssp6, plain, (~spl0 | spl2 | spl8), inference(avatar_split_clause, [status(thm)], [p663, sdef2, sdef8])).
% 20.44/13.22 cnf(p121, plain, (distinct_points(sk0,X0) | distinct_points(sk2,X0) | ~spl0), inference(resolution, [status(thm)], [p117, c3])).
% 20.44/13.22 cnf(p129, plain, (distinct_points(sk0,X0) | distinct_points(sk2,X1) | distinct_points(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p121, c3])).
% 20.44/13.22 cnf(p320, plain, (distinct_points(sk0,X0) | distinct_points(X0,sk2) | ~spl0), inference(resolution, [status(thm)], [p129, c0])).
% 20.44/13.22 cnf(p334, plain, (distinct_points(X0,sk2) | ~apart_point_and_line(sk0,line_connecting(sk0,X0)) | ~spl0), inference(resolution, [status(thm)], [p320, c6])).
% 20.44/13.22 cnf(p666, plain, (distinct_points(sk0,sk0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X0)) | distinct_points(X0,sk2) | ~spl0), inference(resolution, [status(thm)], [p120, p334])).
% 20.44/13.22 fof(sdef9, definition, (spl9 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X0)) | distinct_points(X0,sk2))), introduced(definition, [new_symbols(naming, [spl9])], [avatar_definition])).
% 20.44/13.22 cnf(ssp7, plain, (~spl0 | spl2 | spl9), inference(avatar_split_clause, [status(thm)], [p666, sdef2, sdef9])).
% 20.44/13.22 cnf(p49, plain, ~apart_point_and_line(sk0,line_connecting(sk0,X0)) | distinct_points(sk1,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [c6, p23])).
% 20.44/13.22 cnf(p669, plain, (distinct_points(sk0,sk0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X0)) | distinct_points(sk1,X1) | distinct_points(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p120, p49])).
% 20.44/13.22 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])).
% 20.44/13.22 cnf(ssp8, plain, (~spl0 | spl2 | spl10), inference(avatar_split_clause, [status(thm)], [p669, sdef2, sdef10])).
% 20.44/13.22 cnf(p125, plain, (distinct_points(sk0,X0) | distinct_points(sk3,X0) | ~spl0), inference(resolution, [status(thm)], [p118, c3])).
% 20.44/13.22 cnf(p150, plain, (distinct_points(sk0,X0) | distinct_points(sk3,X1) | distinct_points(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p125, c3])).
% 20.44/13.22 cnf(p358, plain, (distinct_points(sk0,X0) | distinct_points(X0,sk3) | ~spl0), inference(resolution, [status(thm)], [p150, c0])).
% 20.44/13.22 cnf(p372, plain, (distinct_points(X0,sk3) | ~apart_point_and_line(sk0,line_connecting(sk0,X0)) | ~spl0), inference(resolution, [status(thm)], [p358, c6])).
% 20.44/13.22 cnf(p671, plain, (distinct_points(sk0,sk0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X0)) | distinct_points(X0,sk3) | ~spl0), inference(resolution, [status(thm)], [p120, p372])).
% 20.44/13.22 fof(sdef11, definition, (spl11 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X0)) | distinct_points(X0,sk3))), introduced(definition, [new_symbols(naming, [spl11])], [avatar_definition])).
% 20.44/13.22 cnf(ssp9, plain, (~spl0 | spl2 | spl11), inference(avatar_split_clause, [status(thm)], [p671, sdef2, sdef11])).
% 20.44/13.22 cnf(p333, plain, (distinct_points(X0,sk2) | distinct_points(sk0,X1) | distinct_points(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p320, c3])).
% 20.44/13.22 cnf(p459, plain, (distinct_points(X0,sk2) | distinct_points(X0,sk0) | ~spl0), inference(resolution, [status(thm)], [p333, c0])).
% 20.44/13.22 cnf(p471, plain, (distinct_points(sk2,sk0) | ~spl0), inference(resolution, [status(thm)], [p459, c0])).
% 20.44/13.22 cnf(p477, plain, (~apart_point_and_line(sk0,line_connecting(sk2,sk0)) | ~spl0), inference(resolution, [status(thm)], [p471, c7])).
% 20.44/13.22 cnf(p676, plain, (distinct_points(sk0,sk0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk2,sk0)) | ~spl0), inference(resolution, [status(thm)], [p120, p477])).
% 20.44/13.22 fof(sdef12, definition, (spl12 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk2,sk0)))), introduced(definition, [new_symbols(naming, [spl12])], [avatar_definition])).
% 20.44/13.22 cnf(ssp10, plain, (~spl0 | spl2 | spl12), inference(avatar_split_clause, [status(thm)], [p676, sdef2, sdef12])).
% 20.44/13.22 cnf(p60, plain, ~apart_point_and_line(sk0,line_connecting(sk0,X0)) | distinct_points(X1,sk1) | distinct_points(X1,X0), inference(resolution, [status(thm)], [c6, p29])).
% 20.44/13.22 cnf(p679, plain, (distinct_points(sk0,sk0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X0)) | distinct_points(X1,sk1) | distinct_points(X1,X0) | ~spl0), inference(resolution, [status(thm)], [p120, p60])).
% 20.44/13.22 fof(sdef13, definition, (spl13 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,X0)) | distinct_points(X1,sk1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl13])], [avatar_definition])).
% 20.44/13.22 cnf(ssp11, plain, (~spl0 | spl2 | spl13), inference(avatar_split_clause, [status(thm)], [p679, sdef2, sdef13])).
% 20.44/13.22 cnf(p371, plain, (distinct_points(X0,sk3) | distinct_points(sk0,X1) | distinct_points(X0,X1) | ~spl0), inference(resolution, [status(thm)], [p358, c3])).
% 20.44/13.22 cnf(p478, plain, (distinct_points(X0,sk3) | distinct_points(X0,sk0) | ~spl0), inference(resolution, [status(thm)], [p371, c0])).
% 20.44/13.22 cnf(p490, plain, (distinct_points(sk3,sk0) | ~spl0), inference(resolution, [status(thm)], [p478, c0])).
% 20.44/13.22 cnf(p496, plain, (~apart_point_and_line(sk0,line_connecting(sk3,sk0)) | ~spl0), inference(resolution, [status(thm)], [p490, c7])).
% 20.44/13.22 cnf(p681, plain, (distinct_points(sk0,sk0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk3,sk0)) | ~spl0), inference(resolution, [status(thm)], [p120, p496])).
% 20.44/13.22 fof(sdef14, definition, (spl14 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk3,sk0)))), introduced(definition, [new_symbols(naming, [spl14])], [avatar_definition])).
% 20.44/13.22 cnf(ssp12, plain, (~spl0 | spl2 | spl14), inference(avatar_split_clause, [status(thm)], [p681, sdef2, sdef14])).
% 20.44/13.22 cnf(p472, plain, (distinct_points(X0,sk0) | distinct_points(X0,X1) | distinct_points(sk2,X1) | ~spl0), inference(resolution, [status(thm)], [p459, c3])).
% 20.44/13.22 cnf(p535, plain, (distinct_points(X0,sk0) | distinct_points(sk2,X0) | ~spl0), inference(resolution, [status(thm)], [p472, c0])).
% 20.44/13.22 cnf(p549, plain, (distinct_points(sk2,X0) | ~apart_point_and_line(sk0,line_connecting(X0,sk0)) | ~spl0), inference(resolution, [status(thm)], [p535, c7])).
% 20.44/13.22 cnf(p685, plain, (distinct_points(sk0,sk0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk0)) | distinct_points(sk2,X0) | ~spl0), inference(resolution, [status(thm)], [p120, p549])).
% 20.44/13.22 fof(sdef15, definition, (spl15 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk0)) | distinct_points(sk2,X0))), introduced(definition, [new_symbols(naming, [spl15])], [avatar_definition])).
% 20.44/13.22 cnf(ssp13, plain, (~spl0 | spl2 | spl15), inference(avatar_split_clause, [status(thm)], [p685, sdef2, sdef15])).
% 20.44/13.22 cnf(p491, plain, (distinct_points(X0,sk0) | distinct_points(X0,X1) | distinct_points(sk3,X1) | ~spl0), inference(resolution, [status(thm)], [p478, c3])).
% 20.44/13.22 cnf(p552, plain, (distinct_points(X0,sk0) | distinct_points(sk3,X0) | ~spl0), inference(resolution, [status(thm)], [p491, c0])).
% 20.44/13.22 cnf(p566, plain, (distinct_points(sk3,X0) | ~apart_point_and_line(sk0,line_connecting(X0,sk0)) | ~spl0), inference(resolution, [status(thm)], [p552, c7])).
% 20.44/13.22 cnf(p688, plain, (distinct_points(sk0,sk0) | distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk0)) | distinct_points(sk3,X0) | ~spl0), inference(resolution, [status(thm)], [p120, p566])).
% 20.44/13.22 fof(sdef16, definition, (spl16 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk0)) | distinct_points(sk3,X0))), introduced(definition, [new_symbols(naming, [spl16])], [avatar_definition])).
% 20.44/13.22 cnf(ssp14, plain, (~spl0 | spl2 | spl16), inference(avatar_split_clause, [status(thm)], [p688, sdef2, sdef16])).
% 20.44/13.22 fof(f10, 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)).
% 20.44/13.22 fof(f10_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)], [f10])).
% 20.44/13.22 fof(f10_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)], [f10_nnf])).
% 20.44/13.22 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)], [f10_sk])).
% 20.44/13.22 cnf(p94, 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])).
% 20.44/13.22 cnf(p115, plain, (distinct_lines(line_connecting(sk2,sk3),X0) | apart_point_and_line(sk0,X0) | ~spl0), inference(resolution, [status(thm)], [c12, p17])).
% 20.44/13.22 cnf(p697, 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)], [p94, p115])).
% 20.44/13.22 fof(sdef18, definition, (spl18 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(sk3,X0) | apart_point_and_line(sk0,X0))), introduced(definition, [new_symbols(naming, [spl18])], [avatar_definition])).
% 20.44/13.22 cnf(ssp15, plain, (~spl0 | spl17 | spl18 | spl19), inference(avatar_split_clause, [status(thm)], [p697, sdef17, sdef18, sdef19])).
% 20.44/13.22 cnf(p18, plain, (apart_point_and_line(sk1,line_connecting(sk2,sk3)) | ~spl1), inference(avatar_component_clause, [status(thm)], [sdef1])).
% 20.44/13.22 cnf(p116, plain, (distinct_lines(line_connecting(sk2,sk3),X0) | apart_point_and_line(sk1,X0) | ~spl1), inference(resolution, [status(thm)], [c12, p18])).
% 20.44/13.22 cnf(p701, 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)], [p94, p116])).
% 20.44/13.22 fof(sdef20, definition, (spl20 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(sk3,X0) | apart_point_and_line(sk1,X0))), introduced(definition, [new_symbols(naming, [spl20])], [avatar_definition])).
% 20.44/13.22 cnf(ssp16, plain, (~spl1 | spl17 | spl19 | spl20), inference(avatar_split_clause, [status(thm)], [p701, sdef17, sdef19, sdef20])).
% 20.44/13.22 cnf(p703, 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)], [p94, p120])).
% 20.44/13.22 fof(sdef21, definition, (spl21 <=> (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, [spl21])], [avatar_definition])).
% 20.44/13.22 cnf(ssp17, plain, (~spl0 | spl17 | spl19 | spl21), inference(avatar_split_clause, [status(thm)], [p703, sdef17, sdef19, sdef21])).
% 20.44/13.22 cnf(p648, plain, (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,sk1)) | ~spl3), inference(avatar_component_clause, [status(thm)], [sdef3])).
% 20.44/13.22 cnf(p705, 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)], [p94, p648])).
% 20.44/13.22 cnf(ssp18, plain, (~spl3 | spl17 | spl19 | spl22 | spl23), inference(avatar_split_clause, [status(thm)], [p705, sdef17, sdef19, sdef22, sdef23])).
% 20.44/13.22 cnf(p650, plain, (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,sk0)) | ~spl4), inference(avatar_component_clause, [status(thm)], [sdef4])).
% 20.44/13.22 cnf(p708, 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)) | ~spl4), inference(resolution, [status(thm)], [p94, p650])).
% 20.44/13.22 fof(sdef24, definition, (spl24 <=> (apart_point_and_line(sk2,line_connecting(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl24])], [avatar_definition])).
% 20.44/13.22 fof(sdef25, definition, (spl25 <=> (apart_point_and_line(sk3,line_connecting(sk1,sk0)))), introduced(definition, [new_symbols(naming, [spl25])], [avatar_definition])).
% 20.44/13.22 cnf(ssp19, plain, (~spl4 | spl17 | spl19 | spl24 | spl25), inference(avatar_split_clause, [status(thm)], [p708, sdef17, sdef19, sdef24, sdef25])).
% 20.44/13.22 cnf(p658, plain, (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,sk2)) | ~spl6), inference(avatar_component_clause, [status(thm)], [sdef6])).
% 20.44/13.22 cnf(p711, 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)) | ~spl6), inference(resolution, [status(thm)], [p94, p658])).
% 20.44/13.22 fof(sdef26, definition, (spl26 <=> (apart_point_and_line(sk2,line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl26])], [avatar_definition])).
% 20.44/13.22 fof(sdef27, definition, (spl27 <=> (apart_point_and_line(sk3,line_connecting(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl27])], [avatar_definition])).
% 20.44/13.22 cnf(ssp20, plain, (~spl6 | spl17 | spl19 | spl26 | spl27), inference(avatar_split_clause, [status(thm)], [p711, sdef17, sdef19, sdef26, sdef27])).
% 20.44/13.22 cnf(p660, plain, (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,sk3)) | ~spl7), inference(avatar_component_clause, [status(thm)], [sdef7])).
% 20.44/13.22 cnf(p714, 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)) | ~spl7), inference(resolution, [status(thm)], [p94, p660])).
% 20.44/13.22 fof(sdef28, definition, (spl28 <=> (apart_point_and_line(sk2,line_connecting(sk0,sk3)))), introduced(definition, [new_symbols(naming, [spl28])], [avatar_definition])).
% 20.44/13.22 cnf(ssp21, plain, (~spl7 | spl17 | spl19 | spl28 | spl29), inference(avatar_split_clause, [status(thm)], [p714, sdef17, sdef19, sdef28, sdef29])).
% 20.44/13.22 cnf(p712, plain, (apart_point_and_line(sk2,line_connecting(sk0,sk2)) | ~spl26), inference(avatar_component_clause, [status(thm)], [sdef26])).
% 20.44/13.22 cnf(p75, plain, ~apart_point_and_line(X0,line_connecting(X1,X0)) | distinct_points(sk0,X1) | distinct_points(sk1,X0), inference(resolution, [status(thm)], [c7, p23])).
% 20.44/13.22 cnf(p730, plain, (distinct_points(sk0,sk0) | distinct_points(sk1,sk2) | ~spl26), inference(resolution, [status(thm)], [p712, p75])).
% 20.44/13.22 fof(sdef30, definition, (spl30 <=> (distinct_points(sk1,sk2))), introduced(definition, [new_symbols(naming, [spl30])], [avatar_definition])).
% 20.44/13.22 cnf(ssp22, plain, (~spl26 | spl2 | spl30), inference(avatar_split_clause, [status(thm)], [p730, sdef2, sdef30])).
% 20.44/13.22 cnf(p22, plain, distinct_points(sk2,X0) | distinct_points(sk3,X0), inference(resolution, [status(thm)], [c3, c15])).
% 20.44/13.22 cnf(p24, plain, distinct_points(sk2,X0) | distinct_points(sk3,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p22, c3])).
% 20.44/13.22 cnf(p30, plain, distinct_points(sk2,X0) | distinct_points(X0,sk3), inference(resolution, [status(thm)], [p24, c0])).
% 20.44/13.22 cnf(p34, plain, distinct_points(X0,sk3) | distinct_points(sk2,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [p30, c3])).
% 20.44/13.22 cnf(p90, plain, ~apart_point_and_line(X0,line_connecting(X1,X0)) | distinct_points(X1,sk3) | distinct_points(sk2,X0), inference(resolution, [status(thm)], [c7, p34])).
% 20.44/13.22 cnf(p733, plain, (distinct_points(sk0,sk3) | distinct_points(sk2,sk2) | ~spl26), inference(resolution, [status(thm)], [p712, p90])).
% 20.44/13.22 cnf(ssp23, plain, (~spl26 | spl31 | spl32), inference(avatar_split_clause, [status(thm)], [p733, sdef31, sdef32])).
% 20.44/13.22 cnf(p96, 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])).
% 20.44/13.22 cnf(p739, 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(sk1,X0) | ~spl1), inference(resolution, [status(thm)], [p96, p116])).
% 20.44/13.22 fof(sdef33, definition, (spl33 <=> (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(sk1,X0))), introduced(definition, [new_symbols(naming, [spl33])], [avatar_definition])).
% 20.44/13.22 cnf(ssp24, plain, (~spl1 | spl19 | spl33), inference(avatar_split_clause, [status(thm)], [p739, sdef19, sdef33])).
% 20.44/13.22 cnf(p97, 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])).
% 20.44/13.22 cnf(p754, 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)], [p97, p116])).
% 20.44/13.22 fof(sdef34, definition, (spl34 <=> (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, [spl34])], [avatar_definition])).
% 20.44/13.22 cnf(ssp25, plain, (~spl1 | spl0 | spl34), inference(avatar_split_clause, [status(thm)], [p754, sdef0, sdef34])).
% 20.44/13.22 cnf(p766, plain, (distinct_points(sk0,sk0) | distinct_points(sk1,sk3) | ~spl29), inference(resolution, [status(thm)], [p716, p75])).
% 20.44/13.22 fof(sdef35, definition, (spl35 <=> (distinct_points(sk1,sk3))), introduced(definition, [new_symbols(naming, [spl35])], [avatar_definition])).
% 20.44/13.22 cnf(ssp26, plain, (~spl29 | spl2 | spl35), inference(avatar_split_clause, [status(thm)], [p766, sdef2, sdef35])).
% 20.44/13.22 cnf(p100, 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])).
% 20.44/13.22 cnf(p783, 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)], [p100, p116])).
% 20.44/13.22 fof(sdef36, definition, (spl36 <=> (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, [spl36])], [avatar_definition])).
% 20.44/13.22 cnf(ssp27, plain, (~spl1 | spl0 | spl36), inference(avatar_split_clause, [status(thm)], [p783, sdef0, sdef36])).
% 20.44/13.22 cnf(p677, plain, (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk2,sk0)) | ~spl12), inference(avatar_component_clause, [status(thm)], [sdef12])).
% 20.44/13.22 cnf(p786, 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)) | ~spl12), inference(resolution, [status(thm)], [p677, p94])).
% 20.44/13.22 fof(sdef37, definition, (spl37 <=> (apart_point_and_line(sk2,line_connecting(sk2,sk0)))), introduced(definition, [new_symbols(naming, [spl37])], [avatar_definition])).
% 20.44/13.22 fof(sdef38, definition, (spl38 <=> (apart_point_and_line(sk3,line_connecting(sk2,sk0)))), introduced(definition, [new_symbols(naming, [spl38])], [avatar_definition])).
% 20.44/13.22 cnf(ssp28, plain, (~spl12 | spl17 | spl19 | spl37 | spl38), inference(avatar_split_clause, [status(thm)], [p786, sdef17, sdef19, sdef37, sdef38])).
% 20.44/13.22 cnf(p95, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(sk0,X2), inference(resolution, [status(thm)], [c10, p21])).
% 20.44/13.22 cnf(p789, 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) | ~spl12), inference(resolution, [status(thm)], [p677, p95])).
% 20.44/13.22 fof(sdef39, definition, (spl39 <=> (apart_point_and_line(sk1,line_connecting(sk2,sk0)))), introduced(definition, [new_symbols(naming, [spl39])], [avatar_definition])).
% 20.44/13.22 fof(sdef40, definition, (spl40 <=> (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, [spl40])], [avatar_definition])).
% 20.44/13.22 cnf(ssp29, plain, (~spl12 | spl1 | spl39 | spl40), inference(avatar_split_clause, [status(thm)], [p789, sdef1, sdef39, sdef40])).
% 20.44/13.22 cnf(p792, 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) | ~spl12), inference(resolution, [status(thm)], [p677, p96])).
% 20.44/13.22 fof(sdef41, definition, (spl41 <=> (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, [spl41])], [avatar_definition])).
% 20.44/13.22 cnf(ssp30, plain, (~spl12 | spl19 | spl38 | spl41), inference(avatar_split_clause, [status(thm)], [p792, sdef19, sdef38, sdef41])).
% 20.44/13.22 cnf(p794, plain, (apart_point_and_line(sk0,line_connecting(sk2,sk3)) | apart_point_and_line(sk0,line_connecting(sk2,sk0)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk1,X1) | distinct_points(X0,X1) | ~spl12), inference(resolution, [status(thm)], [p677, p97])).
% 20.44/13.22 fof(sdef42, definition, (spl42 <=> (apart_point_and_line(sk0,line_connecting(sk2,sk0)))), introduced(definition, [new_symbols(naming, [spl42])], [avatar_definition])).
% 20.44/13.22 fof(sdef43, definition, (spl43 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk1,X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl43])], [avatar_definition])).
% 20.44/13.22 cnf(ssp31, plain, (~spl12 | spl0 | spl42 | spl43), inference(avatar_split_clause, [status(thm)], [p794, sdef0, sdef42, sdef43])).
% 20.44/13.22 cnf(p98, plain, ~distinct_lines(X0,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(sk0,X3) | distinct_points(X3,X2), inference(resolution, [status(thm)], [c10, p23])).
% 20.44/13.22 cnf(p797, 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,X1) | distinct_points(X1,X0) | ~spl12), inference(resolution, [status(thm)], [p677, p98])).
% 20.44/13.22 fof(sdef44, definition, (spl44 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk0,X1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl44])], [avatar_definition])).
% 20.44/13.22 cnf(ssp32, plain, (~spl12 | spl1 | spl39 | spl44), inference(avatar_split_clause, [status(thm)], [p797, sdef1, sdef39, sdef44])).
% 20.44/13.22 cnf(p99, plain, ~distinct_lines(X0,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | apart_point_and_line(X3,X0) | apart_point_and_line(X3,X1) | distinct_points(sk0,X2) | distinct_points(sk1,X3), inference(resolution, [status(thm)], [c10, p23])).
% 20.44/13.22 cnf(p799, plain, (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk2,sk0)) | distinct_points(sk0,X0) | distinct_points(sk1,X1) | ~spl12), inference(resolution, [status(thm)], [p677, p99])).
% 20.44/13.22 fof(sdef45, definition, (spl45 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl45])], [avatar_definition])).
% 20.44/13.22 cnf(ssp33, plain, (~spl12 | spl40 | spl45), inference(avatar_split_clause, [status(thm)], [p799, sdef40, sdef45])).
% 20.44/13.22 cnf(p801, plain, (apart_point_and_line(sk0,line_connecting(sk2,sk3)) | apart_point_and_line(sk0,line_connecting(sk2,sk0)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(X0,sk1) | ~spl12), inference(resolution, [status(thm)], [p677, p100])).
% 20.44/13.22 fof(sdef46, definition, (spl46 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(X0,sk1))), introduced(definition, [new_symbols(naming, [spl46])], [avatar_definition])).
% 20.44/13.22 cnf(ssp34, plain, (~spl12 | spl0 | spl42 | spl46), inference(avatar_split_clause, [status(thm)], [p801, sdef0, sdef42, sdef46])).
% 20.44/13.22 cnf(p787, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk0)) | ~spl37), inference(avatar_component_clause, [status(thm)], [sdef37])).
% 20.44/13.22 cnf(p56, plain, ~apart_point_and_line(X0,line_connecting(X0,X1)) | distinct_points(sk2,X0) | distinct_points(sk3,X1), inference(resolution, [status(thm)], [c6, p24])).
% 20.44/13.22 cnf(p808, plain, (distinct_points(sk2,sk2) | distinct_points(sk3,sk0) | ~spl37), inference(resolution, [status(thm)], [p787, p56])).
% 20.44/13.22 cnf(ssp35, plain, (~spl37 | spl32 | spl47), inference(avatar_split_clause, [status(thm)], [p808, sdef32, sdef47])).
% 20.44/13.22 cnf(p61, plain, ~apart_point_and_line(X0,line_connecting(X0,X1)) | distinct_points(X0,sk1) | distinct_points(sk0,X1), inference(resolution, [status(thm)], [c6, p29])).
% 20.44/13.22 cnf(p810, plain, (distinct_points(sk2,sk1) | distinct_points(sk0,sk0) | ~spl37), inference(resolution, [status(thm)], [p787, p61])).
% 20.44/13.22 fof(sdef48, definition, (spl48 <=> (distinct_points(sk2,sk1))), introduced(definition, [new_symbols(naming, [spl48])], [avatar_definition])).
% 20.44/13.22 cnf(ssp36, plain, (~spl37 | spl2 | spl48), inference(avatar_split_clause, [status(thm)], [p810, sdef2, sdef48])).
% 20.44/13.22 cnf(p101, 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])).
% 20.44/13.22 cnf(p816, 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)], [p101, p116])).
% 20.44/13.22 fof(sdef49, definition, (spl49 <=> (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, [spl49])], [avatar_definition])).
% 20.44/13.22 cnf(ssp37, plain, (~spl1 | spl17 | spl49), inference(avatar_split_clause, [status(thm)], [p816, sdef17, sdef49])).
% 20.44/13.22 cnf(p818, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,line_connecting(sk2,sk0)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk3,X1) | distinct_points(X0,X1) | ~spl12), inference(resolution, [status(thm)], [p101, p677])).
% 20.44/13.22 fof(sdef50, definition, (spl50 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk3,X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl50])], [avatar_definition])).
% 20.44/13.22 cnf(ssp38, plain, (~spl12 | spl17 | spl37 | spl50), inference(avatar_split_clause, [status(thm)], [p818, sdef17, sdef37, sdef50])).
% 20.44/13.22 cnf(p102, 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])).
% 20.44/13.22 cnf(p834, 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)], [p102, p116])).
% 20.44/13.22 fof(sdef51, definition, (spl51 <=> (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, [spl51])], [avatar_definition])).
% 20.44/13.22 cnf(ssp39, plain, (~spl1 | spl19 | spl51), inference(avatar_split_clause, [status(thm)], [p834, sdef19, sdef51])).
% 20.44/13.22 cnf(p836, 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,X1) | distinct_points(X1,X0) | ~spl12), inference(resolution, [status(thm)], [p102, p677])).
% 20.44/13.22 fof(sdef52, definition, (spl52 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk2,X1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl52])], [avatar_definition])).
% 20.44/13.22 cnf(ssp40, plain, (~spl12 | spl19 | spl38 | spl52), inference(avatar_split_clause, [status(thm)], [p836, sdef19, sdef38, sdef52])).
% 20.44/13.22 cnf(p795, plain, (apart_point_and_line(sk0,line_connecting(sk2,sk0)) | ~spl42), inference(avatar_component_clause, [status(thm)], [sdef42])).
% 20.44/13.22 cnf(p80, plain, ~apart_point_and_line(X0,line_connecting(X1,X0)) | distinct_points(sk2,X1) | distinct_points(sk3,X0), inference(resolution, [status(thm)], [c7, p24])).
% 20.44/13.22 cnf(p845, plain, (distinct_points(sk2,sk2) | distinct_points(sk3,sk0) | ~spl42), inference(resolution, [status(thm)], [p795, p80])).
% 20.44/13.22 cnf(ssp41, plain, (~spl42 | spl32 | spl47), inference(avatar_split_clause, [status(thm)], [p845, sdef32, sdef47])).
% 20.44/13.22 cnf(p85, plain, ~apart_point_and_line(X0,line_connecting(X1,X0)) | distinct_points(X1,sk1) | distinct_points(sk0,X0), inference(resolution, [status(thm)], [c7, p29])).
% 20.44/13.22 cnf(p846, plain, (distinct_points(sk2,sk1) | distinct_points(sk0,sk0) | ~spl42), inference(resolution, [status(thm)], [p795, p85])).
% 20.44/13.22 cnf(ssp42, plain, (~spl42 | spl2 | spl48), inference(avatar_split_clause, [status(thm)], [p846, sdef2, sdef48])).
% 20.44/13.22 cnf(p103, plain, ~distinct_lines(X0,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | apart_point_and_line(X3,X0) | apart_point_and_line(X3,X1) | distinct_points(sk2,X2) | distinct_points(sk3,X3), inference(resolution, [status(thm)], [c10, p24])).
% 20.44/13.22 cnf(p856, plain, (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk2,sk0)) | distinct_points(sk2,X0) | distinct_points(sk3,X1) | ~spl12), inference(resolution, [status(thm)], [p103, p677])).
% 20.44/13.22 fof(sdef53, definition, (spl53 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk3,X0))), introduced(definition, [new_symbols(naming, [spl53])], [avatar_definition])).
% 20.44/13.22 cnf(ssp43, plain, (~spl12 | spl41 | spl53), inference(avatar_split_clause, [status(thm)], [p856, sdef41, sdef53])).
% 20.44/13.22 cnf(p104, 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])).
% 20.44/13.22 cnf(p858, 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)], [p104, p116])).
% 20.44/13.22 fof(sdef54, definition, (spl54 <=> (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, [spl54])], [avatar_definition])).
% 20.44/13.22 cnf(ssp44, plain, (~spl1 | spl17 | spl54), inference(avatar_split_clause, [status(thm)], [p858, sdef17, sdef54])).
% 20.44/13.22 cnf(p860, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,line_connecting(sk2,sk0)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(X0,sk3) | ~spl12), inference(resolution, [status(thm)], [p104, p677])).
% 20.44/13.22 fof(sdef55, definition, (spl55 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(X0,sk3))), introduced(definition, [new_symbols(naming, [spl55])], [avatar_definition])).
% 20.44/13.22 cnf(ssp45, plain, (~spl12 | spl17 | spl37 | spl55), inference(avatar_split_clause, [status(thm)], [p860, sdef17, sdef37, sdef55])).
% 20.44/13.22 cnf(p105, plain, ~distinct_lines(X0,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | distinct_points(sk0,X3) | distinct_points(X2,X3), inference(resolution, [status(thm)], [c10, p29])).
% 20.44/13.22 cnf(p862, plain, (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,line_connecting(sk2,sk0)) | distinct_points(sk0,X1) | distinct_points(X0,X1) | ~spl12), inference(resolution, [status(thm)], [p105, p677])).
% 20.44/13.22 fof(sdef56, definition, (spl56 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(sk0,X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl56])], [avatar_definition])).
% 20.44/13.22 cnf(ssp46, plain, (~spl12 | spl1 | spl39 | spl56), inference(avatar_split_clause, [status(thm)], [p862, sdef1, sdef39, sdef56])).
% 20.44/13.22 cnf(p106, 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])).
% 20.44/13.22 cnf(p864, 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)], [p106, p116])).
% 20.44/13.22 fof(sdef57, definition, (spl57 <=> (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, [spl57])], [avatar_definition])).
% 20.44/13.22 cnf(ssp47, plain, (~spl1 | spl0 | spl57), inference(avatar_split_clause, [status(thm)], [p864, sdef0, sdef57])).
% 20.44/13.22 cnf(p866, plain, (apart_point_and_line(sk0,line_connecting(sk2,sk3)) | apart_point_and_line(sk0,line_connecting(sk2,sk0)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(X1,sk1) | distinct_points(X1,X0) | ~spl12), inference(resolution, [status(thm)], [p106, p677])).
% 20.44/13.22 fof(sdef58, definition, (spl58 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk2,sk0)) | distinct_points(X1,sk1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl58])], [avatar_definition])).
% 20.44/13.22 cnf(ssp48, plain, (~spl12 | spl0 | spl42 | spl58), inference(avatar_split_clause, [status(thm)], [p866, sdef0, sdef42, sdef58])).
% 20.44/13.22 cnf(p682, plain, (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk3,sk0)) | ~spl14), inference(avatar_component_clause, [status(thm)], [sdef14])).
% 20.44/13.22 cnf(p869, 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)) | ~spl14), inference(resolution, [status(thm)], [p682, p94])).
% 20.44/13.22 fof(sdef59, definition, (spl59 <=> (apart_point_and_line(sk2,line_connecting(sk3,sk0)))), introduced(definition, [new_symbols(naming, [spl59])], [avatar_definition])).
% 20.44/13.22 cnf(ssp49, plain, (~spl14 | spl17 | spl19 | spl59 | spl60), inference(avatar_split_clause, [status(thm)], [p869, sdef17, sdef19, sdef59, sdef60])).
% 20.44/13.22 cnf(p872, 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) | ~spl14), inference(resolution, [status(thm)], [p682, p95])).
% 20.44/13.22 fof(sdef61, definition, (spl61 <=> (apart_point_and_line(sk1,line_connecting(sk3,sk0)))), introduced(definition, [new_symbols(naming, [spl61])], [avatar_definition])).
% 20.44/13.22 fof(sdef62, definition, (spl62 <=> (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, [spl62])], [avatar_definition])).
% 20.44/13.22 cnf(ssp50, plain, (~spl14 | spl1 | spl61 | spl62), inference(avatar_split_clause, [status(thm)], [p872, sdef1, sdef61, sdef62])).
% 20.44/13.22 cnf(p875, 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) | ~spl14), inference(resolution, [status(thm)], [p682, p96])).
% 20.44/13.22 fof(sdef63, definition, (spl63 <=> (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, [spl63])], [avatar_definition])).
% 20.44/13.22 cnf(ssp51, plain, (~spl14 | spl19 | spl60 | spl63), inference(avatar_split_clause, [status(thm)], [p875, sdef19, sdef60, sdef63])).
% 20.44/13.22 cnf(p877, plain, (apart_point_and_line(sk0,line_connecting(sk2,sk3)) | apart_point_and_line(sk0,line_connecting(sk3,sk0)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | distinct_points(sk1,X1) | distinct_points(X0,X1) | ~spl14), inference(resolution, [status(thm)], [p682, p97])).
% 20.44/13.22 fof(sdef65, definition, (spl65 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | distinct_points(sk1,X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl65])], [avatar_definition])).
% 20.44/13.22 cnf(ssp52, plain, (~spl14 | spl0 | spl64 | spl65), inference(avatar_split_clause, [status(thm)], [p877, sdef0, sdef64, sdef65])).
% 20.44/13.22 cnf(p880, 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,X1) | distinct_points(X1,X0) | ~spl14), inference(resolution, [status(thm)], [p682, p98])).
% 20.44/13.22 fof(sdef66, definition, (spl66 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | distinct_points(sk0,X1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl66])], [avatar_definition])).
% 20.44/13.22 cnf(ssp53, plain, (~spl14 | spl1 | spl61 | spl66), inference(avatar_split_clause, [status(thm)], [p880, sdef1, sdef61, sdef66])).
% 20.44/13.22 cnf(p882, plain, (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk3,sk0)) | distinct_points(sk0,X0) | distinct_points(sk1,X1) | ~spl14), inference(resolution, [status(thm)], [p682, p99])).
% 20.44/13.22 fof(sdef67, definition, (spl67 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | distinct_points(sk1,X0))), introduced(definition, [new_symbols(naming, [spl67])], [avatar_definition])).
% 20.44/13.22 cnf(ssp54, plain, (~spl14 | spl62 | spl67), inference(avatar_split_clause, [status(thm)], [p882, sdef62, sdef67])).
% 20.44/13.22 cnf(p884, plain, (apart_point_and_line(sk0,line_connecting(sk2,sk3)) | apart_point_and_line(sk0,line_connecting(sk3,sk0)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | distinct_points(X0,sk1) | ~spl14), inference(resolution, [status(thm)], [p682, p100])).
% 20.44/13.22 fof(sdef68, definition, (spl68 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | distinct_points(X0,sk1))), introduced(definition, [new_symbols(naming, [spl68])], [avatar_definition])).
% 20.44/13.22 cnf(ssp55, plain, (~spl14 | spl0 | spl64 | spl68), inference(avatar_split_clause, [status(thm)], [p884, sdef0, sdef64, sdef68])).
% 20.44/13.22 cnf(p886, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,line_connecting(sk3,sk0)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | distinct_points(sk3,X1) | distinct_points(X0,X1) | ~spl14), inference(resolution, [status(thm)], [p682, p101])).
% 20.44/13.22 fof(sdef69, definition, (spl69 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | distinct_points(sk3,X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl69])], [avatar_definition])).
% 20.44/13.22 cnf(ssp56, plain, (~spl14 | spl17 | spl59 | spl69), inference(avatar_split_clause, [status(thm)], [p886, sdef17, sdef59, sdef69])).
% 20.44/13.22 cnf(p888, 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,X1) | distinct_points(X1,X0) | ~spl14), inference(resolution, [status(thm)], [p682, p102])).
% 20.44/13.22 fof(sdef70, definition, (spl70 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | distinct_points(sk2,X1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl70])], [avatar_definition])).
% 20.44/13.22 cnf(ssp57, plain, (~spl14 | spl19 | spl60 | spl70), inference(avatar_split_clause, [status(thm)], [p888, sdef19, sdef60, sdef70])).
% 20.44/13.22 cnf(p890, plain, (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | apart_point_and_line(X1,line_connecting(sk2,sk3)) | apart_point_and_line(X1,line_connecting(sk3,sk0)) | distinct_points(sk2,X0) | distinct_points(sk3,X1) | ~spl14), inference(resolution, [status(thm)], [p682, p103])).
% 20.44/13.22 fof(sdef71, definition, (spl71 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | distinct_points(sk3,X0))), introduced(definition, [new_symbols(naming, [spl71])], [avatar_definition])).
% 20.44/13.22 cnf(ssp58, plain, (~spl14 | spl63 | spl71), inference(avatar_split_clause, [status(thm)], [p890, sdef63, sdef71])).
% 20.44/13.22 cnf(p892, plain, (apart_point_and_line(sk2,line_connecting(sk2,sk3)) | apart_point_and_line(sk2,line_connecting(sk3,sk0)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | distinct_points(X0,sk3) | ~spl14), inference(resolution, [status(thm)], [p682, p104])).
% 20.44/13.22 fof(sdef72, definition, (spl72 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | distinct_points(X0,sk3))), introduced(definition, [new_symbols(naming, [spl72])], [avatar_definition])).
% 20.44/13.22 cnf(ssp59, plain, (~spl14 | spl17 | spl59 | spl72), inference(avatar_split_clause, [status(thm)], [p892, sdef17, sdef59, sdef72])).
% 20.44/13.22 cnf(p894, plain, (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | apart_point_and_line(sk1,line_connecting(sk2,sk3)) | apart_point_and_line(sk1,line_connecting(sk3,sk0)) | distinct_points(sk0,X1) | distinct_points(X0,X1) | ~spl14), inference(resolution, [status(thm)], [p682, p105])).
% 20.44/13.22 fof(sdef73, definition, (spl73 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | distinct_points(sk0,X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl73])], [avatar_definition])).
% 20.44/13.22 cnf(ssp60, plain, (~spl14 | spl1 | spl61 | spl73), inference(avatar_split_clause, [status(thm)], [p894, sdef1, sdef61, sdef73])).
% 20.44/13.22 cnf(p896, plain, (apart_point_and_line(sk0,line_connecting(sk2,sk3)) | apart_point_and_line(sk0,line_connecting(sk3,sk0)) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | distinct_points(X1,sk1) | distinct_points(X1,X0) | ~spl14), inference(resolution, [status(thm)], [p682, p106])).
% 20.44/13.22 fof(sdef74, definition, (spl74 <=> (apart_point_and_line(X0,line_connecting(sk2,sk3)) | apart_point_and_line(X0,line_connecting(sk3,sk0)) | distinct_points(X1,sk1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl74])], [avatar_definition])).
% 20.44/13.22 cnf(ssp61, plain, (~spl14 | spl0 | spl64 | spl74), inference(avatar_split_clause, [status(thm)], [p896, sdef0, sdef64, sdef74])).
% 20.44/13.22 cnf(p906, plain, (distinct_points(sk3,sk1) | distinct_points(sk0,sk0) | ~spl60), inference(resolution, [status(thm)], [p871, p61])).
% 20.44/13.22 fof(sdef75, definition, (spl75 <=> (distinct_points(sk3,sk1))), introduced(definition, [new_symbols(naming, [spl75])], [avatar_definition])).
% 20.44/13.22 cnf(ssp62, plain, (~spl60 | spl2 | spl75), inference(avatar_split_clause, [status(thm)], [p906, sdef2, sdef75])).
% 20.44/13.22 cnf(p922, plain, (distinct_points(sk3,sk1) | distinct_points(sk0,sk0) | ~spl64), inference(resolution, [status(thm)], [p878, p85])).
% 20.44/13.22 cnf(ssp63, plain, (~spl64 | spl2 | spl75), inference(avatar_split_clause, [status(thm)], [p922, sdef2, sdef75])).
% 20.44/13.22 cnf(p109, 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])).
% 20.44/13.22 cnf(p941, 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)], [p109, p116])).
% 20.44/13.22 fof(sdef76, definition, (spl76 <=> (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, [spl76])], [avatar_definition])).
% 20.44/13.22 cnf(ssp64, plain, (~spl1 | spl19 | spl76), inference(avatar_split_clause, [status(thm)], [p941, sdef19, sdef76])).
% 20.44/13.22 cnf(p110, 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])).
% 20.44/13.22 cnf(p950, 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)], [p110, p116])).
% 20.44/13.22 fof(sdef77, definition, (spl77 <=> (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, [spl77])], [avatar_definition])).
% 20.44/13.22 cnf(ssp65, plain, (~spl1 | spl17 | spl77), inference(avatar_split_clause, [status(thm)], [p950, sdef17, sdef77])).
% 20.44/13.22 cnf(p40, plain, distinct_points(X0,sk3) | distinct_points(X0,sk2), inference(resolution, [status(thm)], [p34, c0])).
% 20.44/13.22 cnf(p112, 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])).
% 20.44/13.22 cnf(p966, 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)], [p112, p116])).
% 20.44/13.22 fof(sdef78, definition, (spl78 <=> (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, [spl78])], [avatar_definition])).
% 20.44/13.22 cnf(ssp66, plain, (~spl1 | spl19 | spl78), inference(avatar_split_clause, [status(thm)], [p966, sdef19, sdef78])).
% 20.44/13.22 cnf(p709, plain, (apart_point_and_line(sk2,line_connecting(sk1,sk0)) | ~spl24), inference(avatar_component_clause, [status(thm)], [sdef24])).
% 20.44/13.22 cnf(p722, plain, (distinct_lines(line_connecting(sk1,sk0),X0) | apart_point_and_line(sk2,X0) | ~spl24), inference(resolution, [status(thm)], [p709, c12])).
% 20.44/13.22 cnf(p93, 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])).
% 20.44/13.22 cnf(p1044, plain, (apart_point_and_line(sk2,X0) | apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,X0) | ~spl24), inference(resolution, [status(thm)], [p722, p93])).
% 20.44/13.22 fof(sdef79, definition, (spl79 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0))), introduced(definition, [new_symbols(naming, [spl79])], [avatar_definition])).
% 20.44/13.22 cnf(ssp67, plain, (~spl24 | spl79 | spl80 | spl81), inference(avatar_split_clause, [status(thm)], [p1044, sdef79, sdef80, sdef81])).
% 20.44/13.22 cnf(p1048, plain, (apart_point_and_line(sk2,X0) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | ~spl24), inference(resolution, [status(thm)], [p722, p95])).
% 20.44/13.22 fof(sdef82, definition, (spl82 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1))), introduced(definition, [new_symbols(naming, [spl82])], [avatar_definition])).
% 20.44/13.22 cnf(ssp68, plain, (~spl24 | spl81 | spl82), inference(avatar_split_clause, [status(thm)], [p1048, sdef81, sdef82])).
% 20.44/13.22 cnf(p1050, plain, (apart_point_and_line(sk2,X0) | apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | ~spl24), inference(resolution, [status(thm)], [p722, p97])).
% 20.44/13.22 fof(sdef83, definition, (spl83 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2))), introduced(definition, [new_symbols(naming, [spl83])], [avatar_definition])).
% 20.44/13.22 cnf(ssp69, plain, (~spl24 | spl80 | spl83), inference(avatar_split_clause, [status(thm)], [p1050, sdef80, sdef83])).
% 20.44/13.22 cnf(p1052, plain, (apart_point_and_line(sk2,X0) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | ~spl24), inference(resolution, [status(thm)], [p722, p98])).
% 20.44/13.22 fof(sdef84, definition, (spl84 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1))), introduced(definition, [new_symbols(naming, [spl84])], [avatar_definition])).
% 20.44/13.22 cnf(ssp70, plain, (~spl24 | spl81 | spl84), inference(avatar_split_clause, [status(thm)], [p1052, sdef81, sdef84])).
% 20.44/13.22 cnf(p1055, plain, (apart_point_and_line(sk2,X0) | apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | ~spl24), inference(resolution, [status(thm)], [p722, p100])).
% 20.44/13.22 fof(sdef85, definition, (spl85 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1))), introduced(definition, [new_symbols(naming, [spl85])], [avatar_definition])).
% 20.44/13.22 cnf(ssp71, plain, (~spl24 | spl80 | spl85), inference(avatar_split_clause, [status(thm)], [p1055, sdef80, sdef85])).
% 20.44/13.22 cnf(p1057, plain, (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,X0) | distinct_points(sk0,X2) | distinct_points(X1,X2) | ~spl24), inference(resolution, [status(thm)], [p722, p105])).
% 20.44/13.22 fof(sdef86, definition, (spl86 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | apart_point_and_line(sk1,X0) | distinct_points(sk0,X2) | distinct_points(X1,X2))), introduced(definition, [new_symbols(naming, [spl86])], [avatar_definition])).
% 20.44/13.22 cnf(ssp72, plain, (~spl24 | spl81 | spl86), inference(avatar_split_clause, [status(thm)], [p1057, sdef81, sdef86])).
% 20.44/13.22 cnf(p1059, plain, (apart_point_and_line(sk2,X0) | apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(X2,sk1) | distinct_points(X2,X1) | ~spl24), inference(resolution, [status(thm)], [p722, p106])).
% 20.44/13.22 fof(sdef87, definition, (spl87 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(X2,sk1) | distinct_points(X2,X1))), introduced(definition, [new_symbols(naming, [spl87])], [avatar_definition])).
% 20.44/13.22 cnf(ssp73, plain, (~spl24 | spl80 | spl87), inference(avatar_split_clause, [status(thm)], [p1059, sdef80, sdef87])).
% 20.44/13.22 cnf(p108, plain, ~distinct_lines(X0,X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | apart_point_and_line(sk1,X0) | apart_point_and_line(sk1,X1) | distinct_points(X2,sk0), inference(resolution, [status(thm)], [c10, p35])).
% 20.44/13.22 cnf(p1062, plain, (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,X0) | distinct_points(X1,sk0) | ~spl24), inference(resolution, [status(thm)], [p722, p108])).
% 20.44/13.22 fof(sdef88, definition, (spl88 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | apart_point_and_line(sk1,X0) | distinct_points(X1,sk0))), introduced(definition, [new_symbols(naming, [spl88])], [avatar_definition])).
% 20.44/13.22 cnf(ssp74, plain, (~spl24 | spl81 | spl88), inference(avatar_split_clause, [status(thm)], [p1062, sdef81, sdef88])).
% 20.44/13.22 cnf(p1064, plain, (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | apart_point_and_line(sk3,line_connecting(sk1,sk0)) | apart_point_and_line(sk3,X0) | distinct_points(sk2,X2) | distinct_points(X1,X2) | ~spl24), inference(resolution, [status(thm)], [p722, p109])).
% 20.44/13.22 fof(sdef89, definition, (spl89 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | apart_point_and_line(sk3,X0) | distinct_points(sk2,X2) | distinct_points(X1,X2))), introduced(definition, [new_symbols(naming, [spl89])], [avatar_definition])).
% 20.44/13.22 cnf(ssp75, plain, (~spl24 | spl25 | spl89), inference(avatar_split_clause, [status(thm)], [p1064, sdef25, sdef89])).
% 20.44/13.22 cnf(p1066, plain, (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | apart_point_and_line(sk3,line_connecting(sk1,sk0)) | apart_point_and_line(sk3,X0) | distinct_points(X1,sk2) | ~spl24), inference(resolution, [status(thm)], [p722, p112])).
% 20.44/13.22 fof(sdef90, definition, (spl90 <=> (apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | apart_point_and_line(sk3,X0) | distinct_points(X1,sk2))), introduced(definition, [new_symbols(naming, [spl90])], [avatar_definition])).
% 20.44/13.22 cnf(ssp76, plain, (~spl24 | spl25 | spl90), inference(avatar_split_clause, [status(thm)], [p1066, sdef25, sdef90])).
% 20.44/13.22 cnf(p26, plain, distinct_points(sk1,X0) | distinct_points(X1,X0) | distinct_points(sk0,X2) | distinct_points(X1,X2), inference(resolution, [status(thm)], [p23, c3])).
% 20.44/13.22 cnf(p139, plain, distinct_points(sk1,X0) | distinct_points(sk0,X1) | distinct_points(X2,X1) | ~apart_point_and_line(X2,line_connecting(X2,X0)), inference(resolution, [status(thm)], [p26, c6])).
% 20.44/13.22 cnf(p1097, plain, distinct_points(sk1,X0) | distinct_points(sk0,X1) | ~apart_point_and_line(sk0,line_connecting(sk0,X0)), inference(factoring, [status(thm)], [p139])).
% 20.44/13.22 fof(sdef91, definition, (spl91 <=> (distinct_points(sk1,X0) | ~apart_point_and_line(sk0,line_connecting(sk0,X0)))), introduced(definition, [new_symbols(naming, [spl91])], [avatar_definition])).
% 20.44/13.22 cnf(ssp77, plain, (spl91 | spl92), inference(avatar_split_clause, [status(thm)], [p1097, sdef91, sdef92])).
% 20.44/13.22 cnf(p140, plain, distinct_points(sk1,X0) | distinct_points(X1,X0) | distinct_points(X1,X2) | ~apart_point_and_line(sk0,line_connecting(sk0,X2)), inference(resolution, [status(thm)], [p26, c6])).
% 20.44/13.22 cnf(p1108, plain, distinct_points(sk1,X0) | distinct_points(sk1,X1) | ~apart_point_and_line(sk0,line_connecting(sk0,X1)), inference(factoring, [status(thm)], [p140])).
% 20.44/13.22 cnf(ssp78, plain, (spl91 | spl93), inference(avatar_split_clause, [status(thm)], [p1108, sdef91, sdef93])).
% 20.44/13.22 cnf(p710, plain, (apart_point_and_line(sk3,line_connecting(sk1,sk0)) | ~spl25), inference(avatar_component_clause, [status(thm)], [sdef25])).
% 20.44/13.22 cnf(p724, plain, (distinct_lines(line_connecting(sk1,sk0),X0) | apart_point_and_line(sk3,X0) | ~spl25), inference(resolution, [status(thm)], [p710, c12])).
% 20.44/13.22 cnf(p1120, plain, (apart_point_and_line(sk3,X0) | apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,X0) | ~spl25), inference(resolution, [status(thm)], [p724, p93])).
% 20.44/13.22 fof(sdef94, definition, (spl94 <=> (apart_point_and_line(sk3,X0) | apart_point_and_line(sk0,X0) | apart_point_and_line(sk1,X0))), introduced(definition, [new_symbols(naming, [spl94])], [avatar_definition])).
% 20.44/13.22 cnf(ssp79, plain, (~spl25 | spl80 | spl81 | spl94), inference(avatar_split_clause, [status(thm)], [p1120, sdef80, sdef81, sdef94])).
% 20.44/13.22 cnf(p1122, plain, (apart_point_and_line(sk3,X0) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1) | ~spl25), inference(resolution, [status(thm)], [p724, p95])).
% 20.44/13.22 fof(sdef95, definition, (spl95 <=> (apart_point_and_line(sk3,X0) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X1))), introduced(definition, [new_symbols(naming, [spl95])], [avatar_definition])).
% 20.44/13.22 cnf(ssp80, plain, (~spl25 | spl81 | spl95), inference(avatar_split_clause, [status(thm)], [p1122, sdef81, sdef95])).
% 20.44/13.22 cnf(p1124, plain, (apart_point_and_line(sk3,X0) | apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2) | ~spl25), inference(resolution, [status(thm)], [p724, p97])).
% 20.44/13.22 fof(sdef96, definition, (spl96 <=> (apart_point_and_line(sk3,X0) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk1,X2) | distinct_points(X1,X2))), introduced(definition, [new_symbols(naming, [spl96])], [avatar_definition])).
% 20.44/13.22 cnf(ssp81, plain, (~spl25 | spl80 | spl96), inference(avatar_split_clause, [status(thm)], [p1124, sdef80, sdef96])).
% 20.44/13.22 cnf(p1126, plain, (apart_point_and_line(sk3,X0) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1) | ~spl25), inference(resolution, [status(thm)], [p724, p98])).
% 20.44/13.22 fof(sdef97, definition, (spl97 <=> (apart_point_and_line(sk3,X0) | apart_point_and_line(sk1,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk0,X2) | distinct_points(X2,X1))), introduced(definition, [new_symbols(naming, [spl97])], [avatar_definition])).
% 20.44/13.22 cnf(ssp82, plain, (~spl25 | spl81 | spl97), inference(avatar_split_clause, [status(thm)], [p1126, sdef81, sdef97])).
% 20.44/13.22 cnf(p1129, plain, (apart_point_and_line(sk3,X0) | apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1) | ~spl25), inference(resolution, [status(thm)], [p724, p100])).
% 20.44/13.22 fof(sdef98, definition, (spl98 <=> (apart_point_and_line(sk3,X0) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk1))), introduced(definition, [new_symbols(naming, [spl98])], [avatar_definition])).
% 20.44/13.22 cnf(ssp83, plain, (~spl25 | spl80 | spl98), inference(avatar_split_clause, [status(thm)], [p1129, sdef80, sdef98])).
% 20.44/13.22 cnf(p1131, plain, (apart_point_and_line(sk3,X0) | apart_point_and_line(sk2,line_connecting(sk1,sk0)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk3,X2) | distinct_points(X1,X2) | ~spl25), inference(resolution, [status(thm)], [p724, p101])).
% 20.44/13.22 fof(sdef99, definition, (spl99 <=> (apart_point_and_line(sk3,X0) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(sk3,X2) | distinct_points(X1,X2))), introduced(definition, [new_symbols(naming, [spl99])], [avatar_definition])).
% 20.44/13.22 cnf(ssp84, plain, (~spl25 | spl24 | spl99), inference(avatar_split_clause, [status(thm)], [p1131, sdef24, sdef99])).
% 20.44/13.22 cnf(p1133, plain, (apart_point_and_line(sk3,X0) | apart_point_and_line(sk2,line_connecting(sk1,sk0)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk3) | ~spl25), inference(resolution, [status(thm)], [p724, p104])).
% 20.44/13.22 fof(sdef100, definition, (spl100 <=> (apart_point_and_line(sk3,X0) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(X1,sk3))), introduced(definition, [new_symbols(naming, [spl100])], [avatar_definition])).
% 20.44/13.22 cnf(ssp85, plain, (~spl25 | spl24 | spl100), inference(avatar_split_clause, [status(thm)], [p1133, sdef24, sdef100])).
% 20.44/13.22 cnf(p1135, plain, (apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,X0) | distinct_points(sk0,X2) | distinct_points(X1,X2) | ~spl25), inference(resolution, [status(thm)], [p724, p105])).
% 20.44/13.22 fof(sdef101, definition, (spl101 <=> (apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | apart_point_and_line(sk1,X0) | distinct_points(sk0,X2) | distinct_points(X1,X2))), introduced(definition, [new_symbols(naming, [spl101])], [avatar_definition])).
% 20.44/13.22 cnf(ssp86, plain, (~spl25 | spl81 | spl101), inference(avatar_split_clause, [status(thm)], [p1135, sdef81, sdef101])).
% 20.44/13.22 cnf(p1137, plain, (apart_point_and_line(sk3,X0) | apart_point_and_line(sk0,line_connecting(sk1,sk0)) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(X2,sk1) | distinct_points(X2,X1) | ~spl25), inference(resolution, [status(thm)], [p724, p106])).
% 20.44/13.22 fof(sdef102, definition, (spl102 <=> (apart_point_and_line(sk3,X0) | apart_point_and_line(sk0,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(X2,sk1) | distinct_points(X2,X1))), introduced(definition, [new_symbols(naming, [spl102])], [avatar_definition])).
% 20.44/13.22 cnf(ssp87, plain, (~spl25 | spl80 | spl102), inference(avatar_split_clause, [status(thm)], [p1137, sdef80, sdef102])).
% 20.44/13.22 cnf(p1140, plain, (apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | apart_point_and_line(sk1,line_connecting(sk1,sk0)) | apart_point_and_line(sk1,X0) | distinct_points(X1,sk0) | ~spl25), inference(resolution, [status(thm)], [p724, p108])).
% 20.44/13.22 fof(sdef103, definition, (spl103 <=> (apart_point_and_line(sk3,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | apart_point_and_line(sk1,X0) | distinct_points(X1,sk0))), introduced(definition, [new_symbols(naming, [spl103])], [avatar_definition])).
% 20.44/13.22 cnf(ssp88, plain, (~spl25 | spl81 | spl103), inference(avatar_split_clause, [status(thm)], [p1140, sdef81, sdef103])).
% 20.44/13.22 cnf(p1142, plain, (apart_point_and_line(sk3,X0) | apart_point_and_line(sk2,line_connecting(sk1,sk0)) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(X2,sk3) | distinct_points(X2,X1) | ~spl25), inference(resolution, [status(thm)], [p724, p110])).
% 20.44/13.22 fof(sdef104, definition, (spl104 <=> (apart_point_and_line(sk3,X0) | apart_point_and_line(sk2,X0) | apart_point_and_line(X1,line_connecting(sk1,sk0)) | apart_point_and_line(X1,X0) | distinct_points(X2,sk3) | distinct_points(X2,X1))), introduced(definition, [new_symbols(naming, [spl104])], [avatar_definition])).
% 20.44/13.22 cnf(ssp89, plain, (~spl25 | spl24 | spl104), inference(avatar_split_clause, [status(thm)], [p1142, sdef24, sdef104])).
% 20.44/13.22 cnf(p713, plain, (apart_point_and_line(sk3,line_connecting(sk0,sk2)) | ~spl27), inference(avatar_component_clause, [status(thm)], [sdef27])).
% 20.44/13.22 cnf(p756, plain, (distinct_points(sk3,X0) | apart_point_and_line(X0,line_connecting(sk0,sk2)) | ~spl27), inference(resolution, [status(thm)], [p713, c11])).
% 20.44/13.22 cnf(p1145, plain, (distinct_points(sk3,sk0) | distinct_points(sk2,sk1) | ~spl27), inference(resolution, [status(thm)], [p756, p52])).
% 20.44/13.22 cnf(ssp90, plain, (~spl27 | spl47 | spl48), inference(avatar_split_clause, [status(thm)], [p1145, sdef47, sdef48])).
% 20.44/13.22 cnf(p44, plain, distinct_points(X0,sk2) | distinct_points(X0,X1) | distinct_points(sk3,X1), inference(resolution, [status(thm)], [p40, c3])).
% 20.44/13.22 cnf(p277, plain, distinct_points(X0,sk2) | distinct_points(sk3,X0), inference(resolution, [status(thm)], [p44, c0])).
% 20.44/13.22 cnf(p288, plain, distinct_points(sk3,X0) | ~apart_point_and_line(X0,line_connecting(X0,sk2)), inference(resolution, [status(thm)], [p277, c6])).
% 20.44/13.22 cnf(p1148, plain, (distinct_points(sk3,sk0) | distinct_points(sk3,sk0) | ~spl27), inference(resolution, [status(thm)], [p756, p288])).
% 20.44/13.22 cnf(ssp91, plain, (~spl27 | spl47), inference(avatar_split_clause, [status(thm)], [p1148, sdef47])).
% 20.44/13.22 cnf(p1149, plain, (distinct_points(sk3,sk0) | distinct_points(sk1,X0) | distinct_points(sk2,X0) | ~spl27), inference(resolution, [status(thm)], [p756, p49])).
% 20.44/13.22 fof(sdef105, definition, (spl105 <=> (distinct_points(sk1,X0) | distinct_points(sk2,X0))), introduced(definition, [new_symbols(naming, [spl105])], [avatar_definition])).
% 20.44/13.22 cnf(ssp92, plain, (~spl27 | spl47 | spl105), inference(avatar_split_clause, [status(thm)], [p1149, sdef47, sdef105])).
% 20.44/13.22 cnf(p51, plain, ~apart_point_and_line(X0,line_connecting(X0,X1)) | distinct_points(sk0,X0) | distinct_points(sk1,X1), inference(resolution, [status(thm)], [c6, p23])).
% 20.44/13.22 cnf(p1151, plain, (distinct_points(sk3,sk0) | distinct_points(sk0,sk0) | distinct_points(sk1,sk2) | ~spl27), inference(resolution, [status(thm)], [p756, p51])).
% 20.44/13.22 cnf(ssp93, plain, (~spl27 | spl2 | spl30 | spl47), inference(avatar_split_clause, [status(thm)], [p1151, sdef2, sdef30, sdef47])).
% 20.44/13.22 cnf(p1152, plain, (distinct_points(sk3,sk0) | distinct_points(X0,sk1) | distinct_points(X0,sk2) | ~spl27), inference(resolution, [status(thm)], [p756, p60])).
% 20.44/13.22 fof(sdef106, definition, (spl106 <=> (distinct_points(X0,sk1) | distinct_points(X0,sk2))), introduced(definition, [new_symbols(naming, [spl106])], [avatar_definition])).
% 20.44/13.22 cnf(ssp94, plain, (~spl27 | spl47 | spl106), inference(avatar_split_clause, [status(thm)], [p1152, sdef47, sdef106])).
% 20.44/13.22 cnf(p66, plain, ~apart_point_and_line(X0,line_connecting(X0,X1)) | distinct_points(X0,sk3) | distinct_points(sk2,X1), inference(resolution, [status(thm)], [c6, p34])).
% 20.44/13.22 cnf(p1154, plain, (distinct_points(sk3,sk0) | distinct_points(sk0,sk3) | distinct_points(sk2,sk2) | ~spl27), inference(resolution, [status(thm)], [p756, p66])).
% 20.44/13.22 cnf(ssp95, plain, (~spl27 | spl31 | spl32 | spl47), inference(avatar_split_clause, [status(thm)], [p1154, sdef31, sdef32, sdef47])).
% 20.44/13.22 cnf(p1155, plain, (distinct_points(sk3,sk0) | distinct_points(sk1,sk2) | distinct_points(sk0,X0) | distinct_points(sk0,X0) | ~spl27), inference(resolution, [status(thm)], [p756, p139])).
% 20.44/13.22 cnf(ssp96, plain, (~spl27 | spl30 | spl47 | spl107), inference(avatar_split_clause, [status(thm)], [p1155, sdef30, sdef47, sdef107])).
% 20.44/13.22 cnf(p1157, plain, (distinct_points(sk3,sk0) | distinct_points(sk1,X0) | distinct_points(X1,X0) | distinct_points(X1,sk2) | ~spl27), inference(resolution, [status(thm)], [p756, p140])).
% 20.44/13.22 fof(sdef108, definition, (spl108 <=> (distinct_points(sk1,X0) | distinct_points(X1,X0) | distinct_points(X1,sk2))), introduced(definition, [new_symbols(naming, [spl108])], [avatar_definition])).
% 20.44/13.22 cnf(ssp97, plain, (~spl27 | spl47 | spl108), inference(avatar_split_clause, [status(thm)], [p1157, sdef47, sdef108])).
% 20.44/13.22 cnf(p143, plain, distinct_points(sk1,X0) | distinct_points(sk0,X1) | distinct_points(X2,X1) | ~apart_point_and_line(X0,line_connecting(X2,X0)), inference(resolution, [status(thm)], [p26, c7])).
% 20.44/13.22 cnf(p1167, plain, distinct_points(sk1,X0) | distinct_points(sk0,X1) | ~apart_point_and_line(X0,line_connecting(sk0,X0)), inference(factoring, [status(thm)], [p143])).
% 20.44/13.22 fof(sdef109, definition, (spl109 <=> (distinct_points(sk1,X0) | ~apart_point_and_line(X0,line_connecting(sk0,X0)))), introduced(definition, [new_symbols(naming, [spl109])], [avatar_definition])).
% 20.44/13.22 cnf(ssp98, plain, (spl92 | spl109), inference(avatar_split_clause, [status(thm)], [p1167, sdef92, sdef109])).
% 20.44/13.22 cnf(p144, plain, distinct_points(sk1,X0) | distinct_points(X1,X0) | distinct_points(X1,X2) | ~apart_point_and_line(X2,line_connecting(sk0,X2)), inference(resolution, [status(thm)], [p26, c7])).
% 20.44/13.22 cnf(p1178, plain, distinct_points(sk1,X0) | distinct_points(sk1,X1) | ~apart_point_and_line(X1,line_connecting(sk0,X1)), inference(factoring, [status(thm)], [p144])).
% 20.44/13.22 cnf(ssp99, plain, (spl93 | spl109), inference(avatar_split_clause, [status(thm)], [p1178, sdef93, sdef109])).
% 20.44/13.22 cnf(p715, plain, (apart_point_and_line(sk2,line_connecting(sk0,sk3)) | ~spl28), inference(avatar_component_clause, [status(thm)], [sdef28])).
% 20.44/13.22 cnf(p758, plain, (distinct_points(sk2,X0) | apart_point_and_line(X0,line_connecting(sk0,sk3)) | ~spl28), inference(resolution, [status(thm)], [p715, c11])).
% 20.44/13.22 cnf(p1189, plain, (distinct_points(sk2,sk0) | distinct_points(sk3,sk1) | ~spl28), inference(resolution, [status(thm)], [p758, p52])).
% 20.44/13.22 fof(sdef110, definition, (spl110 <=> (distinct_points(sk2,sk0))), introduced(definition, [new_symbols(naming, [spl110])], [avatar_definition])).
% 20.44/13.22 cnf(ssp100, plain, (~spl28 | spl75 | spl110), inference(avatar_split_clause, [status(thm)], [p1189, sdef75, sdef110])).
% 20.44/13.22 cnf(p58, plain, ~apart_point_and_line(X0,line_connecting(X0,sk3)) | distinct_points(sk2,X0), inference(resolution, [status(thm)], [c6, p30])).
% 20.44/13.22 cnf(p1191, plain, (distinct_points(sk2,sk0) | distinct_points(sk2,sk0) | ~spl28), inference(resolution, [status(thm)], [p758, p58])).
% 20.44/13.22 cnf(ssp101, plain, (~spl28 | spl110), inference(avatar_split_clause, [status(thm)], [p1191, sdef110])).
% 20.44/13.22 cnf(p67, plain, ~apart_point_and_line(X0,line_connecting(X0,sk3)) | distinct_points(X0,sk2), inference(resolution, [status(thm)], [c6, p40])).
% 20.44/13.22 cnf(p1192, plain, (distinct_points(sk2,sk0) | distinct_points(sk0,sk2) | ~spl28), inference(resolution, [status(thm)], [p758, p67])).
% 20.44/13.22 fof(sdef111, definition, (spl111 <=> (distinct_points(sk0,sk2))), introduced(definition, [new_symbols(naming, [spl111])], [avatar_definition])).
% 20.44/13.22 cnf(ssp102, plain, (~spl28 | spl110 | spl111), inference(avatar_split_clause, [status(thm)], [p1192, sdef110, sdef111])).
% 20.44/13.22 cnf(p1196, plain, (distinct_points(sk2,sk0) | distinct_points(sk1,X0) | distinct_points(sk3,X0) | ~spl28), inference(resolution, [status(thm)], [p758, p49])).
% 20.44/13.22 fof(sdef112, definition, (spl112 <=> (distinct_points(sk1,X0) | distinct_points(sk3,X0))), introduced(definition, [new_symbols(naming, [spl112])], [avatar_definition])).
% 20.44/13.22 cnf(ssp103, plain, (~spl28 | spl110 | spl112), inference(avatar_split_clause, [status(thm)], [p1196, sdef110, sdef112])).
% 20.44/13.22 cnf(p1198, plain, (distinct_points(sk2,sk0) | distinct_points(sk0,sk0) | distinct_points(sk1,sk3) | ~spl28), inference(resolution, [status(thm)], [p758, p51])).
% 20.44/13.22 cnf(ssp104, plain, (~spl28 | spl2 | spl35 | spl110), inference(avatar_split_clause, [status(thm)], [p1198, sdef2, sdef35, sdef110])).
% 20.44/13.22 cnf(p1199, plain, (distinct_points(sk2,sk0) | distinct_points(X0,sk1) | distinct_points(X0,sk3) | ~spl28), inference(resolution, [status(thm)], [p758, p60])).
% 20.44/13.22 fof(sdef113, definition, (spl113 <=> (distinct_points(X0,sk1) | distinct_points(X0,sk3))), introduced(definition, [new_symbols(naming, [spl113])], [avatar_definition])).
% 20.44/13.22 cnf(ssp105, plain, (~spl28 | spl110 | spl113), inference(avatar_split_clause, [status(thm)], [p1199, sdef110, sdef113])).
% 20.44/13.22 cnf(p64, plain, ~apart_point_and_line(X0,line_connecting(X0,sk3)) | distinct_points(sk2,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [c6, p34])).
% 20.44/13.22 cnf(p1201, plain, (distinct_points(sk2,sk0) | distinct_points(sk2,X0) | distinct_points(sk0,X0) | ~spl28), inference(resolution, [status(thm)], [p758, p64])).
% 20.44/13.22 fof(sdef114, definition, (spl114 <=> (distinct_points(sk2,X0) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl114])], [avatar_definition])).
% 20.44/13.22 cnf(ssp106, plain, (~spl28 | spl110 | spl114), inference(avatar_split_clause, [status(thm)], [p1201, sdef110, sdef114])).
% 20.44/13.22 cnf(p1205, plain, (distinct_points(sk2,sk0) | distinct_points(sk1,sk3) | distinct_points(sk0,X0) | distinct_points(sk0,X0) | ~spl28), inference(resolution, [status(thm)], [p758, p139])).
% 20.44/13.22 cnf(ssp107, plain, (~spl28 | spl35 | spl107 | spl110), inference(avatar_split_clause, [status(thm)], [p1205, sdef35, sdef107, sdef110])).
% 20.44/13.22 cnf(p1206, plain, (distinct_points(sk2,sk0) | distinct_points(sk1,X0) | distinct_points(X1,X0) | distinct_points(X1,sk3) | ~spl28), inference(resolution, [status(thm)], [p758, p140])).
% 20.44/13.22 fof(sdef115, definition, (spl115 <=> (distinct_points(sk1,X0) | distinct_points(X1,X0) | distinct_points(X1,sk3))), introduced(definition, [new_symbols(naming, [spl115])], [avatar_definition])).
% 20.44/13.22 cnf(ssp108, plain, (~spl28 | spl110 | spl115), inference(avatar_split_clause, [status(thm)], [p1206, sdef110, sdef115])).
% 20.44/13.22 cnf(p148, plain, distinct_points(sk1,X0) | distinct_points(X1,X0) | distinct_points(X1,X2) | ~distinct_lines(X3,X4) | apart_point_and_line(sk0,X3) | apart_point_and_line(sk0,X4) | apart_point_and_line(X2,X3) | apart_point_and_line(X2,X4), inference(resolution, [status(thm)], [p26, c10])).
% 20.44/13.22 cnf(p1224, plain, (distinct_points(sk1,X0) | distinct_points(X1,X0) | distinct_points(X1,X2) | apart_point_and_line(sk0,line_connecting(sk2,sk3)) | apart_point_and_line(sk0,X3) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X3) | apart_point_and_line(sk1,X3) | ~spl1), inference(resolution, [status(thm)], [p148, p116])).
% 20.44/13.22 fof(sdef116, definition, (spl116 <=> (distinct_points(sk1,X0) | distinct_points(X1,X0) | distinct_points(X1,X2) | apart_point_and_line(sk0,X3) | apart_point_and_line(X2,line_connecting(sk2,sk3)) | apart_point_and_line(X2,X3) | apart_point_and_line(sk1,X3))), introduced(definition, [new_symbols(naming, [spl116])], [avatar_definition])).
% 20.44/13.22 cnf(ssp109, plain, (~spl1 | spl0 | spl116), inference(avatar_split_clause, [status(thm)], [p1224, sdef0, sdef116])).
% 20.44/13.22 cnf(p114, plain, (distinct_points(sk1,X0) | apart_point_and_line(X0,line_connecting(sk2,sk3)) | ~spl1), inference(resolution, [status(thm)], [c11, p18])).
% 20.44/13.22 cnf(p157, plain, (distinct_points(sk1,X0) | distinct_lines(line_connecting(sk2,sk3),X1) | apart_point_and_line(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p114, c12])).
% 20.44/13.22 cnf(p1260, plain, (distinct_points(sk1,sk1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,sk0)) | ~spl1), inference(resolution, [status(thm)], [p157, p63])).
% 20.44/13.22 cnf(ssp110, plain, (~spl1 | spl4 | spl117), inference(avatar_split_clause, [status(thm)], [p1260, sdef4, sdef117])).
% 20.44/13.22 cnf(p69, plain, ~apart_point_and_line(sk1,line_connecting(sk0,sk1)), inference(resolution, [status(thm)], [c7, c14])).
% 20.44/13.22 cnf(p1262, plain, (distinct_points(sk1,sk1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk0,sk1)) | ~spl1), inference(resolution, [status(thm)], [p157, p69])).
% 20.44/13.22 cnf(ssp111, plain, (~spl1 | spl3 | spl117), inference(avatar_split_clause, [status(thm)], [p1262, sdef3, sdef117])).
% 20.44/13.22 cnf(p47, plain, ~apart_point_and_line(sk1,line_connecting(sk1,X0)) | distinct_points(sk0,X0), inference(resolution, [status(thm)], [c6, p21])).
% 20.44/13.22 cnf(p1263, plain, (distinct_points(sk1,sk1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,X0)) | distinct_points(sk0,X0) | ~spl1), inference(resolution, [status(thm)], [p157, p47])).
% 20.44/13.22 fof(sdef118, definition, (spl118 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,X0)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl118])], [avatar_definition])).
% 20.44/13.22 cnf(ssp112, plain, (~spl1 | spl117 | spl118), inference(avatar_split_clause, [status(thm)], [p1263, sdef117, sdef118])).
% 20.44/13.22 cnf(p77, plain, ~apart_point_and_line(sk1,line_connecting(X0,sk1)) | distinct_points(sk0,X0), inference(resolution, [status(thm)], [c7, p25])).
% 20.44/13.22 cnf(p1266, plain, (distinct_points(sk1,sk1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk1)) | distinct_points(sk0,X0) | ~spl1), inference(resolution, [status(thm)], [p157, p77])).
% 20.44/13.22 fof(sdef119, definition, (spl119 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk1)) | distinct_points(sk0,X0))), introduced(definition, [new_symbols(naming, [spl119])], [avatar_definition])).
% 20.44/13.22 cnf(ssp113, plain, (~spl1 | spl117 | spl119), inference(avatar_split_clause, [status(thm)], [p1266, sdef117, sdef119])).
% 20.44/13.22 cnf(p86, plain, ~apart_point_and_line(sk1,line_connecting(X0,sk1)) | distinct_points(X0,sk0), inference(resolution, [status(thm)], [c7, p35])).
% 20.44/13.22 cnf(p1268, plain, (distinct_points(sk1,sk1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk1)) | distinct_points(X0,sk0) | ~spl1), inference(resolution, [status(thm)], [p157, p86])).
% 20.44/13.22 fof(sdef120, definition, (spl120 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk1)) | distinct_points(X0,sk0))), introduced(definition, [new_symbols(naming, [spl120])], [avatar_definition])).
% 20.44/13.22 cnf(ssp114, plain, (~spl1 | spl117 | spl120), inference(avatar_split_clause, [status(thm)], [p1268, sdef117, sdef120])).
% 20.44/13.22 cnf(p154, plain, (distinct_points(sk1,sk2) | ~spl1), inference(resolution, [status(thm)], [p114, p46])).
% 20.44/13.22 cnf(p159, plain, (~apart_point_and_line(sk1,line_connecting(sk1,sk2)) | ~spl1), inference(resolution, [status(thm)], [p154, c6])).
% 20.44/13.22 cnf(p1271, plain, (distinct_points(sk1,sk1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,sk2)) | ~spl1), inference(resolution, [status(thm)], [p157, p159])).
% 20.44/13.22 fof(sdef121, definition, (spl121 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,sk2)))), introduced(definition, [new_symbols(naming, [spl121])], [avatar_definition])).
% 20.44/13.22 cnf(ssp115, plain, (~spl1 | spl117 | spl121), inference(avatar_split_clause, [status(thm)], [p1271, sdef117, sdef121])).
% 20.44/13.22 cnf(p155, plain, (distinct_points(sk1,sk3) | ~spl1), inference(resolution, [status(thm)], [p114, p70])).
% 20.44/13.22 cnf(p163, plain, (~apart_point_and_line(sk1,line_connecting(sk1,sk3)) | ~spl1), inference(resolution, [status(thm)], [p155, c6])).
% 20.44/13.22 cnf(p1273, plain, (distinct_points(sk1,sk1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,sk3)) | ~spl1), inference(resolution, [status(thm)], [p157, p163])).
% 20.44/13.22 fof(sdef122, definition, (spl122 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,sk3)))), introduced(definition, [new_symbols(naming, [spl122])], [avatar_definition])).
% 20.44/13.22 cnf(ssp116, plain, (~spl1 | spl117 | spl122), inference(avatar_split_clause, [status(thm)], [p1273, sdef117, sdef122])).
% 20.44/13.22 cnf(p257, plain, distinct_points(X0,sk0) | ~apart_point_and_line(sk1,line_connecting(sk1,X0)), inference(resolution, [status(thm)], [p245, c6])).
% 20.44/13.22 cnf(p1278, plain, (distinct_points(sk1,sk1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,X0)) | distinct_points(X0,sk0) | ~spl1), inference(resolution, [status(thm)], [p157, p257])).
% 20.44/13.22 fof(sdef123, definition, (spl123 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,X0)) | distinct_points(X0,sk0))), introduced(definition, [new_symbols(naming, [spl123])], [avatar_definition])).
% 20.44/13.22 cnf(ssp117, plain, (~spl1 | spl117 | spl123), inference(avatar_split_clause, [status(thm)], [p1278, sdef117, sdef123])).
% 20.44/13.22 cnf(p50, plain, ~apart_point_and_line(sk1,line_connecting(sk1,X0)) | distinct_points(sk0,X1) | distinct_points(X1,X0), inference(resolution, [status(thm)], [c6, p23])).
% 20.44/13.22 cnf(p1280, plain, (distinct_points(sk1,sk1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,X0)) | distinct_points(sk0,X1) | distinct_points(X1,X0) | ~spl1), inference(resolution, [status(thm)], [p157, p50])).
% 20.44/13.22 fof(sdef124, definition, (spl124 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,X0)) | distinct_points(sk0,X1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl124])], [avatar_definition])).
% 20.44/13.22 cnf(ssp118, plain, (~spl1 | spl117 | spl124), inference(avatar_split_clause, [status(thm)], [p1280, sdef117, sdef124])).
% 20.44/13.22 cnf(p158, plain, (distinct_points(sk1,X0) | distinct_points(sk2,X0) | ~spl1), inference(resolution, [status(thm)], [p154, c3])).
% 20.44/13.22 cnf(p192, plain, (distinct_points(sk1,X0) | distinct_points(sk2,X1) | distinct_points(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p158, c3])).
% 20.44/13.22 cnf(p385, plain, (distinct_points(sk1,X0) | distinct_points(X0,sk2) | ~spl1), inference(resolution, [status(thm)], [p192, c0])).
% 20.44/13.22 cnf(p399, plain, (distinct_points(X0,sk2) | ~apart_point_and_line(sk1,line_connecting(sk1,X0)) | ~spl1), inference(resolution, [status(thm)], [p385, c6])).
% 20.44/13.22 cnf(p1282, plain, (distinct_points(sk1,sk1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,X0)) | distinct_points(X0,sk2) | ~spl1), inference(resolution, [status(thm)], [p157, p399])).
% 20.44/13.22 fof(sdef125, definition, (spl125 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,X0)) | distinct_points(X0,sk2))), introduced(definition, [new_symbols(naming, [spl125])], [avatar_definition])).
% 20.44/13.22 cnf(ssp119, plain, (~spl1 | spl117 | spl125), inference(avatar_split_clause, [status(thm)], [p1282, sdef117, sdef125])).
% 20.44/13.22 cnf(p162, plain, (distinct_points(sk1,X0) | distinct_points(sk3,X0) | ~spl1), inference(resolution, [status(thm)], [p155, c3])).
% 20.44/13.22 cnf(p196, plain, (distinct_points(sk1,X0) | distinct_points(sk3,X1) | distinct_points(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p162, c3])).
% 20.44/13.22 cnf(p404, plain, (distinct_points(sk1,X0) | distinct_points(X0,sk3) | ~spl1), inference(resolution, [status(thm)], [p196, c0])).
% 20.44/13.22 cnf(p418, plain, (distinct_points(X0,sk3) | ~apart_point_and_line(sk1,line_connecting(sk1,X0)) | ~spl1), inference(resolution, [status(thm)], [p404, c6])).
% 20.44/13.22 cnf(p1285, plain, (distinct_points(sk1,sk1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,X0)) | distinct_points(X0,sk3) | ~spl1), inference(resolution, [status(thm)], [p157, p418])).
% 20.44/13.22 fof(sdef126, definition, (spl126 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,X0)) | distinct_points(X0,sk3))), introduced(definition, [new_symbols(naming, [spl126])], [avatar_definition])).
% 20.44/13.22 cnf(ssp120, plain, (~spl1 | spl117 | spl126), inference(avatar_split_clause, [status(thm)], [p1285, sdef117, sdef126])).
% 20.44/13.22 cnf(p398, plain, (distinct_points(X0,sk2) | distinct_points(sk1,X1) | distinct_points(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p385, c3])).
% 20.44/13.22 cnf(p497, plain, (distinct_points(X0,sk2) | distinct_points(X0,sk1) | ~spl1), inference(resolution, [status(thm)], [p398, c0])).
% 20.44/13.22 cnf(p509, plain, (distinct_points(sk2,sk1) | ~spl1), inference(resolution, [status(thm)], [p497, c0])).
% 20.44/13.22 cnf(p515, plain, (~apart_point_and_line(sk1,line_connecting(sk2,sk1)) | ~spl1), inference(resolution, [status(thm)], [p509, c7])).
% 20.44/13.22 cnf(p1289, plain, (distinct_points(sk1,sk1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk2,sk1)) | ~spl1), inference(resolution, [status(thm)], [p157, p515])).
% 20.44/13.22 fof(sdef127, definition, (spl127 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk2,sk1)))), introduced(definition, [new_symbols(naming, [spl127])], [avatar_definition])).
% 20.44/13.22 cnf(ssp121, plain, (~spl1 | spl117 | spl127), inference(avatar_split_clause, [status(thm)], [p1289, sdef117, sdef127])).
% 20.44/13.22 cnf(p417, plain, (distinct_points(X0,sk3) | distinct_points(sk1,X1) | distinct_points(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p404, c3])).
% 20.44/13.22 cnf(p516, plain, (distinct_points(X0,sk3) | distinct_points(X0,sk1) | ~spl1), inference(resolution, [status(thm)], [p417, c0])).
% 20.44/13.22 cnf(p528, plain, (distinct_points(sk3,sk1) | ~spl1), inference(resolution, [status(thm)], [p516, c0])).
% 20.44/13.22 cnf(p534, plain, (~apart_point_and_line(sk1,line_connecting(sk3,sk1)) | ~spl1), inference(resolution, [status(thm)], [p528, c7])).
% 20.44/13.22 cnf(p1292, plain, (distinct_points(sk1,sk1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk3,sk1)) | ~spl1), inference(resolution, [status(thm)], [p157, p534])).
% 20.44/13.22 fof(sdef128, definition, (spl128 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk3,sk1)))), introduced(definition, [new_symbols(naming, [spl128])], [avatar_definition])).
% 20.44/13.22 cnf(ssp122, plain, (~spl1 | spl117 | spl128), inference(avatar_split_clause, [status(thm)], [p1292, sdef117, sdef128])).
% 20.44/13.22 cnf(p510, plain, (distinct_points(X0,sk1) | distinct_points(X0,X1) | distinct_points(sk2,X1) | ~spl1), inference(resolution, [status(thm)], [p497, c3])).
% 20.44/13.22 cnf(p569, plain, (distinct_points(X0,sk1) | distinct_points(sk2,X0) | ~spl1), inference(resolution, [status(thm)], [p510, c0])).
% 20.44/13.22 cnf(p583, plain, (distinct_points(sk2,X0) | ~apart_point_and_line(sk1,line_connecting(X0,sk1)) | ~spl1), inference(resolution, [status(thm)], [p569, c7])).
% 20.44/13.22 cnf(p1297, plain, (distinct_points(sk1,sk1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk1)) | distinct_points(sk2,X0) | ~spl1), inference(resolution, [status(thm)], [p157, p583])).
% 20.44/13.22 fof(sdef129, definition, (spl129 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk1)) | distinct_points(sk2,X0))), introduced(definition, [new_symbols(naming, [spl129])], [avatar_definition])).
% 20.44/13.22 cnf(ssp123, plain, (~spl1 | spl117 | spl129), inference(avatar_split_clause, [status(thm)], [p1297, sdef117, sdef129])).
% 20.44/13.22 cnf(p83, plain, ~apart_point_and_line(sk1,line_connecting(X0,sk1)) | distinct_points(sk0,X1) | distinct_points(X0,X1), inference(resolution, [status(thm)], [c7, p29])).
% 20.44/13.22 cnf(p1300, plain, (distinct_points(sk1,sk1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk1)) | distinct_points(sk0,X1) | distinct_points(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p157, p83])).
% 20.44/13.22 fof(sdef130, definition, (spl130 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk1)) | distinct_points(sk0,X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl130])], [avatar_definition])).
% 20.44/13.22 cnf(ssp124, plain, (~spl1 | spl117 | spl130), inference(avatar_split_clause, [status(thm)], [p1300, sdef117, sdef130])).
% 20.44/13.22 cnf(p529, plain, (distinct_points(X0,sk1) | distinct_points(X0,X1) | distinct_points(sk3,X1) | ~spl1), inference(resolution, [status(thm)], [p516, c3])).
% 20.44/13.22 cnf(p586, plain, (distinct_points(X0,sk1) | distinct_points(sk3,X0) | ~spl1), inference(resolution, [status(thm)], [p529, c0])).
% 20.44/13.22 cnf(p600, plain, (distinct_points(sk3,X0) | ~apart_point_and_line(sk1,line_connecting(X0,sk1)) | ~spl1), inference(resolution, [status(thm)], [p586, c7])).
% 20.44/13.22 cnf(p1302, plain, (distinct_points(sk1,sk1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk1)) | distinct_points(sk3,X0) | ~spl1), inference(resolution, [status(thm)], [p157, p600])).
% 20.44/13.22 fof(sdef131, definition, (spl131 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(X0,sk1)) | distinct_points(sk3,X0))), introduced(definition, [new_symbols(naming, [spl131])], [avatar_definition])).
% 20.44/13.22 cnf(ssp125, plain, (~spl1 | spl117 | spl131), inference(avatar_split_clause, [status(thm)], [p1302, sdef117, sdef131])).
% 20.44/13.22 cnf(p1306, 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)], [p157, p94])).
% 20.44/13.22 fof(sdef132, definition, (spl132 <=> (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, [spl132])], [avatar_definition])).
% 20.44/13.22 cnf(ssp126, plain, (~spl1 | spl17 | spl19 | spl132), inference(avatar_split_clause, [status(thm)], [p1306, sdef17, sdef19, sdef132])).
% 20.44/13.22 cnf(p1308, 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)], [p157, p96])).
% 20.44/13.22 fof(sdef133, definition, (spl133 <=> (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, [spl133])], [avatar_definition])).
% 20.44/13.22 cnf(ssp127, plain, (~spl1 | spl19 | spl133), inference(avatar_split_clause, [status(thm)], [p1308, sdef19, sdef133])).
% 20.44/13.22 cnf(p1310, 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)], [p157, p97])).
% 20.44/13.22 fof(sdef134, definition, (spl134 <=> (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, [spl134])], [avatar_definition])).
% 20.44/13.22 cnf(ssp128, plain, (~spl1 | spl0 | spl134), inference(avatar_split_clause, [status(thm)], [p1310, sdef0, sdef134])).
% 20.44/13.22 cnf(p1312, 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)], [p157, p100])).
% 20.44/13.22 fof(sdef135, definition, (spl135 <=> (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, [spl135])], [avatar_definition])).
% 20.44/13.22 cnf(ssp129, plain, (~spl1 | spl0 | spl135), inference(avatar_split_clause, [status(thm)], [p1312, sdef0, sdef135])).
% 20.44/13.22 cnf(p1314, 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)], [p157, p101])).
% 20.44/13.22 fof(sdef136, definition, (spl136 <=> (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, [spl136])], [avatar_definition])).
% 20.44/13.22 cnf(ssp130, plain, (~spl1 | spl17 | spl136), inference(avatar_split_clause, [status(thm)], [p1314, sdef17, sdef136])).
% 20.44/13.22 cnf(p1316, 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)], [p157, p102])).
% 20.44/13.22 fof(sdef137, definition, (spl137 <=> (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, [spl137])], [avatar_definition])).
% 20.44/13.22 cnf(ssp131, plain, (~spl1 | spl19 | spl137), inference(avatar_split_clause, [status(thm)], [p1316, sdef19, sdef137])).
% 20.44/13.22 cnf(p1319, 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)], [p157, p104])).
% 20.44/13.22 fof(sdef138, definition, (spl138 <=> (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, [spl138])], [avatar_definition])).
% 20.44/13.22 cnf(ssp132, plain, (~spl1 | spl17 | spl138), inference(avatar_split_clause, [status(thm)], [p1319, sdef17, sdef138])).
% 20.44/13.22 cnf(p1321, 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)], [p157, p106])).
% 20.44/13.22 fof(sdef139, definition, (spl139 <=> (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, [spl139])], [avatar_definition])).
% 20.44/13.22 cnf(ssp133, plain, (~spl1 | spl0 | spl139), inference(avatar_split_clause, [status(thm)], [p1321, sdef0, sdef139])).
% 20.44/13.22 cnf(p1324, 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)], [p157, p109])).
% 20.44/13.22 fof(sdef140, definition, (spl140 <=> (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, [spl140])], [avatar_definition])).
% 20.44/13.22 cnf(ssp134, plain, (~spl1 | spl19 | spl140), inference(avatar_split_clause, [status(thm)], [p1324, sdef19, sdef140])).
% 20.44/13.22 cnf(p1326, 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)], [p157, p110])).
% 20.44/13.22 fof(sdef141, definition, (spl141 <=> (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, [spl141])], [avatar_definition])).
% 20.44/13.22 cnf(ssp135, plain, (~spl1 | spl17 | spl141), inference(avatar_split_clause, [status(thm)], [p1326, sdef17, sdef141])).
% 20.44/13.22 cnf(p1329, 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)], [p157, p112])).
% 20.44/13.22 fof(sdef142, definition, (spl142 <=> (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, [spl142])], [avatar_definition])).
% 20.44/13.22 cnf(ssp136, plain, (~spl1 | spl19 | spl142), inference(avatar_split_clause, [status(thm)], [p1329, sdef19, sdef142])).
% 20.44/13.22 cnf(p138, plain, distinct_points(X0,X1) | distinct_points(sk0,X2) | distinct_points(X0,X2) | ~apart_point_and_line(sk1,line_connecting(sk1,X1)), inference(resolution, [status(thm)], [p26, c6])).
% 20.44/13.22 cnf(p1331, plain, (distinct_points(sk1,sk1) | distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,X0)) | distinct_points(X1,X0) | distinct_points(sk0,X2) | distinct_points(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p157, p138])).
% 20.44/13.22 fof(sdef143, definition, (spl143 <=> (distinct_lines(line_connecting(sk2,sk3),line_connecting(sk1,X0)) | distinct_points(X1,X0) | distinct_points(sk0,X2) | distinct_points(X1,X2))), introduced(definition, [new_symbols(naming, [spl143])], [avatar_definition])).
% 20.44/13.22 cnf(ssp137, plain, (~spl1 | spl117 | spl143), inference(avatar_split_clause, [status(thm)], [p1331, sdef117, sdef143])).
% 20.44/13.22 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, sct0, sct1, sct2, sct3, sct4, sct5, sct6, sct7, sct8, sct9, sct10, sct11, sct12, sct13, sct14])).
% 20.44/13.22 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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