%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO205+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:17:28 PM UTC 2026
% Result : Theorem 6.88s 3.20s
% Output : Proof 6.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO205+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 11:28:12 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.88/3.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.88/3.20 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.88/3.20 fof(f5, axiom, ! [X,Y,Z] : ( convergent_lines(X,Y) => ( convergent_lines(X,Z) | convergent_lines(Y,Z) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart6)).
% 6.88/3.20 fof(f5_nnf, plain, ! [X,Y,Z] : ((~(convergent_lines(X,Y)) | (convergent_lines(X,Z) | convergent_lines(Y,Z)))), inference(nnf_transformation, [status(thm)], [f5])).
% 6.88/3.20 fof(f5_sk, plain, ! [X,Y,Z] : ((~(convergent_lines(X,Y)) | (convergent_lines(X,Z) | convergent_lines(Y,Z)))), inference(skolemisation, [status(esa)], [f5_nnf])).
% 6.88/3.20 cnf(c5, plain, ~convergent_lines(X0,X1) | convergent_lines(X0,X2) | convergent_lines(X1,X2), inference(cnf_transformation, [status(esa)], [f5_sk])).
% 6.88/3.20 fof(f12, conjecture, ! [X,Y,Z] : ( ( convergent_lines(X,Y) & ~ distinct_lines(Y,Z) ) => ( convergent_lines(X,Z) & ~ distinct_points(intersection_point(X,Y),intersection_point(X,Z)) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 6.88/3.20 fof(f12_neg, negated_conjecture, ~(! [X,Y,Z] : ( ( convergent_lines(X,Y) & ~ distinct_lines(Y,Z) ) => ( convergent_lines(X,Z) & ~ distinct_points(intersection_point(X,Y),intersection_point(X,Z)) ) )), inference(negated_conjecture, [status(cth)], [f12])).
% 6.88/3.20 fof(f12_nnf, plain, ? [X,Y,Z] : (((convergent_lines(X,Y) & ~(distinct_lines(Y,Z))) & (~(convergent_lines(X,Z)) | distinct_points(intersection_point(X,Y),intersection_point(X,Z))))), inference(nnf_transformation, [status(thm)], [f12_neg])).
% 6.88/3.20 fof(f12_sk, plain, ((convergent_lines(sk0,sk1) & ~(distinct_lines(sk1,sk2))) & (~(convergent_lines(sk0,sk2)) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)))), inference(skolemisation, [status(esa), new_symbols(skolem, [sk0,sk1,sk2])], [f12_nnf])).
% 6.88/3.20 cnf(c14, plain, convergent_lines(sk0,sk1), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 6.88/3.20 cnf(p37, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X0), inference(resolution, [status(thm)], [c5, c14])).
% 6.88/3.20 fof(f11, axiom, ! [X,Y] : ( convergent_lines(X,Y) => distinct_lines(X,Y) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ceq3)).
% 6.88/3.20 fof(f11_nnf, plain, ! [X,Y] : ((~(convergent_lines(X,Y)) | distinct_lines(X,Y))), inference(nnf_transformation, [status(thm)], [f11])).
% 6.88/3.20 fof(f11_sk, plain, ! [X,Y] : ((~(convergent_lines(X,Y)) | distinct_lines(X,Y))), inference(skolemisation, [status(esa)], [f11_nnf])).
% 6.88/3.20 cnf(c13, plain, ~convergent_lines(X0,X1) | distinct_lines(X0,X1), inference(cnf_transformation, [status(esa)], [f11_sk])).
% 6.88/3.20 cnf(p38, plain, convergent_lines(sk0,X0) | distinct_lines(sk1,X0), inference(resolution, [status(thm)], [p37, c13])).
% 6.88/3.20 fof(sdef0, definition, (spl0 <=> (~convergent_lines(sk0,sk2))), introduced(definition, [new_symbols(naming, [spl0])], [avatar_definition])).
% 6.88/3.20 cnf(p17, plain, (~convergent_lines(sk0,sk2) | ~spl0), inference(avatar_component_clause, [status(thm)], [sdef0])).
% 6.88/3.20 cnf(p40, plain, (distinct_lines(sk1,sk2) | ~spl0), inference(resolution, [status(thm)], [p38, p17])).
% 6.88/3.20 cnf(c15, plain, ~distinct_lines(sk1,sk2), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 6.88/3.20 cnf(p43, plain, ($false | ~spl0), inference(resolution, [status(thm)], [p40, c15])).
% 6.88/3.20 cnf(sct0, plain, (~spl0), inference(avatar_contradiction_clause, [status(thm)], [p43])).
% 6.88/3.20 fof(sdef2, definition, (spl2 <=> (distinct_lines(sk1,sk1))), introduced(definition, [new_symbols(naming, [spl2])], [avatar_definition])).
% 6.88/3.20 cnf(p215, plain, (distinct_lines(sk1,sk1) | ~spl2), inference(avatar_component_clause, [status(thm)], [sdef2])).
% 6.88/3.20 fof(f1, axiom, ! [X] : ~ distinct_lines(X,X), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart2)).
% 6.88/3.20 fof(f1_nnf, plain, ! [X] : (~(distinct_lines(X,X))), inference(nnf_transformation, [status(thm)], [f1])).
% 6.88/3.20 fof(f1_sk, plain, ! [X] : (~(distinct_lines(X,X))), inference(skolemisation, [status(esa)], [f1_nnf])).
% 6.88/3.20 cnf(c1, plain, ~distinct_lines(X0,X0), inference(cnf_transformation, [status(esa)], [f1_sk])).
% 6.88/3.20 cnf(p236, plain, ($false | ~spl2), inference(resolution, [status(thm)], [p215, c1])).
% 6.88/3.20 cnf(sct1, plain, (~spl2), inference(avatar_contradiction_clause, [status(thm)], [p236])).
% 6.88/3.20 fof(sdef4, definition, (spl4 <=> (convergent_lines(sk1,sk1))), introduced(definition, [new_symbols(naming, [spl4])], [avatar_definition])).
% 6.88/3.20 cnf(p315, plain, (convergent_lines(sk1,sk1) | ~spl4), inference(avatar_component_clause, [status(thm)], [sdef4])).
% 6.88/3.20 fof(f2, axiom, ! [X] : ~ convergent_lines(X,X), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart3)).
% 6.88/3.20 fof(f2_nnf, plain, ! [X] : (~(convergent_lines(X,X))), inference(nnf_transformation, [status(thm)], [f2])).
% 6.88/3.20 fof(f2_sk, plain, ! [X] : (~(convergent_lines(X,X))), inference(skolemisation, [status(esa)], [f2_nnf])).
% 6.88/3.20 cnf(c2, plain, ~convergent_lines(X0,X0), inference(cnf_transformation, [status(esa)], [f2_sk])).
% 6.88/3.20 cnf(p335, plain, ($false | ~spl4), inference(resolution, [status(thm)], [p315, c2])).
% 6.88/3.20 cnf(sct2, plain, (~spl4), inference(avatar_contradiction_clause, [status(thm)], [p335])).
% 6.88/3.20 fof(sdef5, definition, (spl5 <=> (distinct_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl5])], [avatar_definition])).
% 6.88/3.20 cnf(p503, plain, (distinct_lines(X0,sk2) | ~spl5), inference(avatar_component_clause, [status(thm)], [sdef5])).
% 6.88/3.20 cnf(p508, plain, ($false | ~spl5), inference(resolution, [status(thm)], [p503, c15])).
% 6.88/3.20 cnf(sct3, plain, (~spl5), inference(avatar_contradiction_clause, [status(thm)], [p508])).
% 6.88/3.20 fof(sdef61, definition, (spl61 <=> (convergent_lines(sk0,sk0))), introduced(definition, [new_symbols(naming, [spl61])], [avatar_definition])).
% 6.88/3.20 cnf(p1130, plain, (convergent_lines(sk0,sk0) | ~spl61), inference(avatar_component_clause, [status(thm)], [sdef61])).
% 6.88/3.20 cnf(p1134, plain, ($false | ~spl61), inference(resolution, [status(thm)], [p1130, c2])).
% 6.88/3.20 cnf(sct4, plain, (~spl61), inference(avatar_contradiction_clause, [status(thm)], [p1134])).
% 6.88/3.20 fof(sdef119, definition, (spl119 <=> (distinct_lines(sk1,sk2))), introduced(definition, [new_symbols(naming, [spl119])], [avatar_definition])).
% 6.88/3.20 cnf(p1351, plain, (distinct_lines(sk1,sk2) | ~spl119), inference(avatar_component_clause, [status(thm)], [sdef119])).
% 6.88/3.20 cnf(p1396, plain, ($false | ~spl119), inference(resolution, [status(thm)], [p1351, c15])).
% 6.88/3.20 cnf(sct5, plain, (~spl119), inference(avatar_contradiction_clause, [status(thm)], [p1396])).
% 6.88/3.20 fof(sdef124, definition, (spl124 <=> (distinct_lines(sk2,sk2))), introduced(definition, [new_symbols(naming, [spl124])], [avatar_definition])).
% 6.88/3.20 cnf(p1363, plain, (distinct_lines(sk2,sk2) | ~spl124), inference(avatar_component_clause, [status(thm)], [sdef124])).
% 6.88/3.20 cnf(p1565, plain, ($false | ~spl124), inference(resolution, [status(thm)], [p1363, c1])).
% 6.88/3.20 cnf(sct6, plain, (~spl124), inference(avatar_contradiction_clause, [status(thm)], [p1565])).
% 6.88/3.20 fof(sdef125, definition, (spl125 <=> (convergent_lines(sk1,sk2))), introduced(definition, [new_symbols(naming, [spl125])], [avatar_definition])).
% 6.88/3.20 cnf(p1366, plain, (convergent_lines(sk1,sk2) | ~spl125), inference(avatar_component_clause, [status(thm)], [sdef125])).
% 6.88/3.20 cnf(p1566, plain, (distinct_lines(sk1,sk2) | ~spl125), inference(resolution, [status(thm)], [p1366, c13])).
% 6.88/3.20 cnf(p1735, plain, ($false | ~spl125), inference(resolution, [status(thm)], [p1566, c15])).
% 6.88/3.20 cnf(sct7, plain, (~spl125), inference(avatar_contradiction_clause, [status(thm)], [p1735])).
% 6.88/3.20 fof(sdef8, definition, (spl8 <=> (apart_point_and_line(intersection_point(sk0,sk1),sk1))), introduced(definition, [new_symbols(naming, [spl8])], [avatar_definition])).
% 6.88/3.20 cnf(p954, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | ~spl8), inference(avatar_component_clause, [status(thm)], [sdef8])).
% 6.88/3.20 fof(f7, axiom, ! [X,Y,Z] : ( convergent_lines(X,Y) => ( ( apart_point_and_line(Z,X) | apart_point_and_line(Z,Y) ) => distinct_points(Z,intersection_point(X,Y)) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con2)).
% 6.88/3.20 fof(f7_nnf, plain, ! [X,Y,Z] : ((~(convergent_lines(X,Y)) | ((~(apart_point_and_line(Z,X)) & ~(apart_point_and_line(Z,Y))) | distinct_points(Z,intersection_point(X,Y))))), inference(nnf_transformation, [status(thm)], [f7])).
% 6.88/3.20 fof(f7_sk, plain, ! [X,Y,Z] : ((~(convergent_lines(X,Y)) | ((~(apart_point_and_line(Z,X)) & ~(apart_point_and_line(Z,Y))) | distinct_points(Z,intersection_point(X,Y))))), inference(skolemisation, [status(esa)], [f7_nnf])).
% 6.88/3.20 cnf(c9, plain, ~convergent_lines(X0,X1) | ~apart_point_and_line(X2,X1) | distinct_points(X2,intersection_point(X0,X1)), inference(cnf_transformation, [status(esa)], [f7_sk])).
% 6.88/3.20 cnf(p108, plain, ~apart_point_and_line(X0,sk1) | distinct_points(X0,intersection_point(sk0,sk1)), inference(resolution, [status(thm)], [c9, c14])).
% 6.88/3.20 cnf(p1135, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | ~spl8), inference(resolution, [status(thm)], [p954, p108])).
% 6.88/3.20 fof(f0, axiom, ! [X] : ~ distinct_points(X,X), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart1)).
% 6.88/3.20 fof(f0_nnf, plain, ! [X] : (~(distinct_points(X,X))), inference(nnf_transformation, [status(thm)], [f0])).
% 6.88/3.20 fof(f0_sk, plain, ! [X] : (~(distinct_points(X,X))), inference(skolemisation, [status(esa)], [f0_nnf])).
% 6.88/3.20 cnf(c0, plain, ~distinct_points(X0,X0), inference(cnf_transformation, [status(esa)], [f0_sk])).
% 6.88/3.20 cnf(p1781, plain, ($false | ~spl8), inference(resolution, [status(thm)], [p1135, c0])).
% 6.88/3.20 cnf(sct8, plain, (~spl8), inference(avatar_contradiction_clause, [status(thm)], [p1781])).
% 6.88/3.20 fof(sdef9, definition, (spl9 <=> (apart_point_and_line(intersection_point(sk0,sk2),sk0))), introduced(definition, [new_symbols(naming, [spl9])], [avatar_definition])).
% 6.88/3.20 cnf(p955, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | ~spl9), inference(avatar_component_clause, [status(thm)], [sdef9])).
% 6.88/3.20 fof(sdef3, definition, (spl3 <=> (convergent_lines(sk0,sk2))), introduced(definition, [new_symbols(naming, [spl3])], [avatar_definition])).
% 6.88/3.20 cnf(p216, plain, (convergent_lines(sk0,sk2) | ~spl3), inference(avatar_component_clause, [status(thm)], [sdef3])).
% 6.88/3.20 cnf(c8, plain, ~convergent_lines(X0,X1) | ~apart_point_and_line(X2,X0) | distinct_points(X2,intersection_point(X0,X1)), inference(cnf_transformation, [status(esa)], [f7_sk])).
% 6.88/3.20 cnf(p238, plain, (~apart_point_and_line(X0,sk0) | distinct_points(X0,intersection_point(sk0,sk2)) | ~spl3), inference(resolution, [status(thm)], [p216, c8])).
% 6.88/3.20 cnf(p1152, plain, (distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,sk2)) | ~spl3 | ~spl9), inference(resolution, [status(thm)], [p955, p238])).
% 6.88/3.20 cnf(p1895, plain, ($false | ~spl3 | ~spl9), inference(resolution, [status(thm)], [p1152, c0])).
% 6.88/3.20 cnf(sct9, plain, (~spl3 | ~spl9), inference(avatar_contradiction_clause, [status(thm)], [p1895])).
% 6.88/3.20 fof(sdef7, definition, (spl7 <=> (apart_point_and_line(intersection_point(sk0,sk1),sk0))), introduced(definition, [new_symbols(naming, [spl7])], [avatar_definition])).
% 6.88/3.20 cnf(p953, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | ~spl7), inference(avatar_component_clause, [status(thm)], [sdef7])).
% 6.88/3.20 cnf(p88, plain, ~apart_point_and_line(X0,sk0) | distinct_points(X0,intersection_point(sk0,sk1)), inference(resolution, [status(thm)], [c8, c14])).
% 6.88/3.20 cnf(p1108, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk1)) | ~spl7), inference(resolution, [status(thm)], [p953, p88])).
% 6.88/3.20 cnf(p1896, plain, ($false | ~spl7), inference(resolution, [status(thm)], [p1108, c0])).
% 6.88/3.20 cnf(sct10, plain, (~spl7), inference(avatar_contradiction_clause, [status(thm)], [p1896])).
% 6.88/3.20 fof(sdef128, definition, (spl128 <=> (convergent_lines(sk1,X0) | convergent_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl128])], [avatar_definition])).
% 6.88/3.20 cnf(p1383, plain, (convergent_lines(sk1,X0) | convergent_lines(sk2,X0) | ~spl128), inference(avatar_component_clause, [status(thm)], [sdef128])).
% 6.88/3.20 cnf(p2250, plain, (convergent_lines(sk1,sk2) | ~spl128), inference(resolution, [status(thm)], [p1383, c2])).
% 6.88/3.20 cnf(p2255, plain, (distinct_lines(sk1,sk2) | ~spl128), inference(resolution, [status(thm)], [p2250, c13])).
% 6.88/3.20 cnf(p2363, plain, ($false | ~spl128), inference(resolution, [status(thm)], [p2255, c15])).
% 6.88/3.20 cnf(sct11, plain, (~spl128), inference(avatar_contradiction_clause, [status(thm)], [p2363])).
% 6.88/3.20 fof(sdef131, definition, (spl131 <=> (distinct_lines(sk1,X0) | convergent_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl131])], [avatar_definition])).
% 6.88/3.20 cnf(p1389, plain, (distinct_lines(sk1,X0) | convergent_lines(X0,sk2) | ~spl131), inference(avatar_component_clause, [status(thm)], [sdef131])).
% 6.88/3.20 cnf(p2375, plain, (distinct_lines(sk1,sk2) | ~spl131), inference(resolution, [status(thm)], [p1389, c2])).
% 6.88/3.20 cnf(p2485, plain, ($false | ~spl131), inference(resolution, [status(thm)], [p2375, c15])).
% 6.88/3.20 cnf(sct12, plain, (~spl131), inference(avatar_contradiction_clause, [status(thm)], [p2485])).
% 6.88/3.20 fof(sdef122, definition, (spl122 <=> (convergent_lines(sk2,sk1))), introduced(definition, [new_symbols(naming, [spl122])], [avatar_definition])).
% 6.88/3.20 cnf(p1357, plain, (convergent_lines(sk2,sk1) | ~spl122), inference(avatar_component_clause, [status(thm)], [sdef122])).
% 6.88/3.20 cnf(p1398, plain, (convergent_lines(sk2,X0) | convergent_lines(sk1,X0) | ~spl122), inference(resolution, [status(thm)], [p1357, c5])).
% 6.88/3.20 cnf(p2486, plain, (convergent_lines(sk1,sk2) | ~spl122), inference(resolution, [status(thm)], [p1398, c2])).
% 6.88/3.20 cnf(p2491, plain, (distinct_lines(sk1,sk2) | ~spl122), inference(resolution, [status(thm)], [p2486, c13])).
% 6.88/3.20 cnf(p2494, plain, ($false | ~spl122), inference(resolution, [status(thm)], [p2491, c15])).
% 6.88/3.20 cnf(sct13, plain, (~spl122), inference(avatar_contradiction_clause, [status(thm)], [p2494])).
% 6.88/3.20 fof(sdef123, definition, (spl123 <=> (distinct_lines(sk2,sk1))), introduced(definition, [new_symbols(naming, [spl123])], [avatar_definition])).
% 6.88/3.20 cnf(p1359, plain, (distinct_lines(sk2,sk1) | ~spl123), inference(avatar_component_clause, [status(thm)], [sdef123])).
% 6.88/3.20 fof(f4, axiom, ! [X,Y,Z] : ( distinct_lines(X,Y) => ( distinct_lines(X,Z) | distinct_lines(Y,Z) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart5)).
% 6.88/3.20 fof(f4_nnf, plain, ! [X,Y,Z] : ((~(distinct_lines(X,Y)) | (distinct_lines(X,Z) | distinct_lines(Y,Z)))), inference(nnf_transformation, [status(thm)], [f4])).
% 6.88/3.20 fof(f4_sk, plain, ! [X,Y,Z] : ((~(distinct_lines(X,Y)) | (distinct_lines(X,Z) | distinct_lines(Y,Z)))), inference(skolemisation, [status(esa)], [f4_nnf])).
% 6.88/3.20 cnf(c4, plain, ~distinct_lines(X0,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(cnf_transformation, [status(esa)], [f4_sk])).
% 6.88/3.20 cnf(p1559, plain, (distinct_lines(sk2,X0) | distinct_lines(sk1,X0) | ~spl123), inference(resolution, [status(thm)], [p1359, c4])).
% 6.88/3.20 cnf(p2539, plain, (distinct_lines(sk1,sk2) | ~spl123), inference(resolution, [status(thm)], [p1559, c1])).
% 6.88/3.20 cnf(p2551, plain, ($false | ~spl123), inference(resolution, [status(thm)], [p2539, c15])).
% 6.88/3.20 cnf(sct14, plain, (~spl123), inference(avatar_contradiction_clause, [status(thm)], [p2551])).
% 6.88/3.20 fof(sdef13, definition, (spl13 <=> (apart_point_and_line(intersection_point(sk0,sk2),sk2))), introduced(definition, [new_symbols(naming, [spl13])], [avatar_definition])).
% 6.88/3.20 cnf(p961, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | ~spl13), inference(avatar_component_clause, [status(thm)], [sdef13])).
% 6.88/3.20 cnf(p239, plain, (~apart_point_and_line(X0,sk2) | distinct_points(X0,intersection_point(sk0,sk2)) | ~spl3), inference(resolution, [status(thm)], [p216, c9])).
% 6.88/3.20 cnf(p1738, plain, (distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,sk2)) | ~spl3 | ~spl13), inference(resolution, [status(thm)], [p961, p239])).
% 6.88/3.20 cnf(p2552, plain, ($false | ~spl3 | ~spl13), inference(resolution, [status(thm)], [p1738, c0])).
% 6.88/3.20 cnf(sct15, plain, (~spl3 | ~spl13), inference(avatar_contradiction_clause, [status(thm)], [p2552])).
% 6.88/3.20 fof(sdef249, definition, (spl249 <=> (distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl249])], [avatar_definition])).
% 6.88/3.20 cnf(p1747, plain, (distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,sk2)) | ~spl249), inference(avatar_component_clause, [status(thm)], [sdef249])).
% 6.88/3.20 cnf(p2586, plain, ($false | ~spl249), inference(resolution, [status(thm)], [p1747, c0])).
% 6.88/3.20 cnf(sct16, plain, (~spl249), inference(avatar_contradiction_clause, [status(thm)], [p2586])).
% 6.88/3.20 cnf(c16, plain, ~convergent_lines(sk0,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)), inference(cnf_transformation, [status(esa)], [f12_sk])).
% 6.88/3.20 fof(sdef1, definition, (spl1 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)))), introduced(definition, [new_symbols(naming, [spl1])], [avatar_definition])).
% 6.88/3.20 cnf(ssp0, plain, (spl0 | spl1), inference(avatar_split_clause, [status(thm)], [c16, sdef0, sdef1])).
% 6.88/3.20 cnf(p42, plain, distinct_lines(sk1,X0) | convergent_lines(sk0,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p38, c5])).
% 6.88/3.20 cnf(p101, plain, distinct_lines(sk1,X0) | convergent_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p42, c13])).
% 6.88/3.20 cnf(p214, plain, distinct_lines(sk1,sk1) | convergent_lines(sk0,sk2), inference(resolution, [status(thm)], [p101, c15])).
% 6.88/3.20 cnf(ssp1, plain, (spl2 | spl3), inference(avatar_split_clause, [status(thm)], [p214, sdef2, sdef3])).
% 6.88/3.20 cnf(p39, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p37, c5])).
% 6.88/3.20 cnf(p78, plain, convergent_lines(sk0,X0) | convergent_lines(X0,sk1), inference(resolution, [status(thm)], [p39, c2])).
% 6.88/3.20 cnf(p87, plain, convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p78, c5])).
% 6.88/3.20 cnf(p167, plain, convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p87, c13])).
% 6.88/3.20 cnf(p314, plain, convergent_lines(sk1,sk1) | convergent_lines(sk0,sk2), inference(resolution, [status(thm)], [p167, c15])).
% 6.88/3.20 cnf(ssp2, plain, (spl3 | spl4), inference(avatar_split_clause, [status(thm)], [p314, sdef3, sdef4])).
% 6.88/3.20 cnf(p80, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | distinct_lines(sk1,X1), inference(resolution, [status(thm)], [p39, c13])).
% 6.88/3.20 cnf(p152, plain, convergent_lines(sk0,X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p80, c13])).
% 6.88/3.20 cnf(p299, plain, convergent_lines(sk0,X0) | distinct_lines(X0,sk2), inference(resolution, [status(thm)], [p152, c15])).
% 6.88/3.20 cnf(p304, plain, distinct_lines(X0,sk2) | convergent_lines(sk0,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p299, c5])).
% 6.88/3.20 cnf(p400, plain, distinct_lines(X0,sk2) | convergent_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p304, c13])).
% 6.88/3.20 cnf(p502, plain, distinct_lines(X0,sk2) | convergent_lines(sk0,sk2), inference(factoring, [status(thm)], [p400])).
% 6.88/3.20 cnf(ssp3, plain, (spl3 | spl5), inference(avatar_split_clause, [status(thm)], [p502, sdef3, sdef5])).
% 6.88/3.20 cnf(p102, plain, distinct_lines(sk1,X0) | convergent_lines(X0,X1) | convergent_lines(sk0,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p42, c5])).
% 6.88/3.20 cnf(p735, plain, distinct_lines(sk1,X0) | convergent_lines(X0,X1) | convergent_lines(X1,sk0), inference(resolution, [status(thm)], [p102, c2])).
% 6.88/3.20 cnf(p747, plain, distinct_lines(sk1,X0) | convergent_lines(X1,sk0) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p735, c13])).
% 6.88/3.20 cnf(p753, plain, distinct_lines(sk1,sk1) | convergent_lines(sk2,sk0), inference(resolution, [status(thm)], [p747, c15])).
% 6.88/3.20 fof(sdef6, definition, (spl6 <=> (convergent_lines(sk2,sk0))), introduced(definition, [new_symbols(naming, [spl6])], [avatar_definition])).
% 6.88/3.20 cnf(ssp4, plain, (spl2 | spl6), inference(avatar_split_clause, [status(thm)], [p753, sdef2, sdef6])).
% 6.88/3.20 fof(f8, axiom, ! [X,Y,U,V] : ( ( distinct_points(X,Y) & distinct_lines(U,V) ) => ( apart_point_and_line(X,U) | apart_point_and_line(X,V) | apart_point_and_line(Y,U) | apart_point_and_line(Y,V) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cu1)).
% 6.88/3.20 fof(f8_nnf, plain, ! [X,Y,U,V] : (((~(distinct_points(X,Y)) | ~(distinct_lines(U,V))) | (((apart_point_and_line(X,U) | apart_point_and_line(X,V)) | apart_point_and_line(Y,U)) | apart_point_and_line(Y,V)))), inference(nnf_transformation, [status(thm)], [f8])).
% 6.88/3.20 fof(f8_sk, plain, ! [X,Y,U,V] : (((~(distinct_points(X,Y)) | ~(distinct_lines(U,V))) | (((apart_point_and_line(X,U) | apart_point_and_line(X,V)) | apart_point_and_line(Y,U)) | apart_point_and_line(Y,V)))), inference(skolemisation, [status(esa)], [f8_nnf])).
% 6.88/3.20 cnf(c10, plain, ~distinct_points(X0,X1) | ~distinct_lines(X2,X3) | apart_point_and_line(X0,X2) | apart_point_and_line(X0,X3) | apart_point_and_line(X1,X2) | apart_point_and_line(X1,X3), inference(cnf_transformation, [status(esa)], [f8_sk])).
% 6.88/3.20 cnf(p18, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | ~spl1), inference(avatar_component_clause, [status(thm)], [sdef1])).
% 6.88/3.20 cnf(p127, plain, (~distinct_lines(X0,X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | ~spl1), inference(resolution, [status(thm)], [c10, p18])).
% 6.88/3.20 cnf(p19, plain, distinct_lines(sk0,sk1), inference(resolution, [status(thm)], [c13, c14])).
% 6.88/3.20 cnf(p952, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | ~spl1), inference(resolution, [status(thm)], [p127, p19])).
% 6.88/3.20 fof(sdef10, definition, (spl10 <=> (apart_point_and_line(intersection_point(sk0,sk2),sk1))), introduced(definition, [new_symbols(naming, [spl10])], [avatar_definition])).
% 6.88/3.20 cnf(ssp5, plain, (~spl1 | spl7 | spl8 | spl9 | spl10), inference(avatar_split_clause, [status(thm)], [p952, sdef7, sdef8, sdef9, sdef10])).
% 6.88/3.20 cnf(p30, plain, distinct_lines(sk0,X0) | distinct_lines(sk1,X0), inference(resolution, [status(thm)], [c4, p19])).
% 6.88/3.20 cnf(p957, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p30])).
% 6.88/3.20 fof(sdef11, definition, (spl11 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl11])], [avatar_definition])).
% 6.88/3.20 cnf(ssp6, plain, (~spl1 | spl8 | spl10 | spl11), inference(avatar_split_clause, [status(thm)], [p957, sdef8, sdef10, sdef11])).
% 6.88/3.20 cnf(p31, plain, distinct_lines(sk0,sk2), inference(resolution, [status(thm)], [p30, c15])).
% 6.88/3.20 cnf(p959, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | ~spl1), inference(resolution, [status(thm)], [p127, p31])).
% 6.88/3.20 fof(sdef12, definition, (spl12 <=> (apart_point_and_line(intersection_point(sk0,sk1),sk2))), introduced(definition, [new_symbols(naming, [spl12])], [avatar_definition])).
% 6.88/3.20 cnf(ssp7, plain, (~spl1 | spl7 | spl9 | spl12 | spl13), inference(avatar_split_clause, [status(thm)], [p959, sdef7, sdef9, sdef12, sdef13])).
% 6.88/3.20 cnf(p33, plain, distinct_lines(sk0,X0) | distinct_lines(sk2,X0), inference(resolution, [status(thm)], [p31, c4])).
% 6.88/3.20 cnf(p962, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p33])).
% 6.88/3.20 cnf(ssp8, plain, (~spl1 | spl11 | spl12 | spl13), inference(avatar_split_clause, [status(thm)], [p962, sdef11, sdef12, sdef13])).
% 6.88/3.20 cnf(p32, plain, distinct_lines(sk0,X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p30, c4])).
% 6.88/3.20 cnf(p963, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p32])).
% 6.88/3.20 fof(sdef14, definition, (spl14 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl14])], [avatar_definition])).
% 6.88/3.20 cnf(ssp9, plain, (~spl1 | spl7 | spl9 | spl14), inference(avatar_split_clause, [status(thm)], [p963, sdef7, sdef9, sdef14])).
% 6.88/3.20 cnf(p965, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p32])).
% 6.88/3.20 fof(sdef15, definition, (spl15 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl15])], [avatar_definition])).
% 6.88/3.20 cnf(ssp10, plain, (~spl1 | spl8 | spl10 | spl15), inference(avatar_split_clause, [status(thm)], [p965, sdef8, sdef10, sdef15])).
% 6.88/3.20 cnf(p967, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk0,X0) | distinct_lines(sk1,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p32])).
% 6.88/3.20 fof(sdef16, definition, (spl16 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl16])], [avatar_definition])).
% 6.88/3.20 cnf(ssp11, plain, (~spl1 | spl11 | spl16), inference(avatar_split_clause, [status(thm)], [p967, sdef11, sdef16])).
% 6.88/3.20 cnf(p56, plain, distinct_lines(sk0,X0) | distinct_lines(X0,sk2), inference(resolution, [status(thm)], [p32, c15])).
% 6.88/3.20 cnf(p969, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,sk2) | ~spl1), inference(resolution, [status(thm)], [p127, p56])).
% 6.88/3.20 fof(sdef17, definition, (spl17 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl17])], [avatar_definition])).
% 6.88/3.20 cnf(ssp12, plain, (~spl1 | spl7 | spl9 | spl17), inference(avatar_split_clause, [status(thm)], [p969, sdef7, sdef9, sdef17])).
% 6.88/3.20 cnf(p57, plain, distinct_lines(sk0,X0) | distinct_lines(X0,sk1), inference(resolution, [status(thm)], [p32, c1])).
% 6.88/3.20 cnf(p971, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,sk1) | ~spl1), inference(resolution, [status(thm)], [p127, p57])).
% 6.88/3.20 fof(sdef18, definition, (spl18 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl18])], [avatar_definition])).
% 6.88/3.20 cnf(ssp13, plain, (~spl1 | spl7 | spl9 | spl18), inference(avatar_split_clause, [status(thm)], [p971, sdef7, sdef9, sdef18])).
% 6.88/3.20 cnf(p34, plain, distinct_lines(sk0,X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p33, c4])).
% 6.88/3.20 cnf(p973, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p34])).
% 6.88/3.20 fof(sdef19, definition, (spl19 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl19])], [avatar_definition])).
% 6.88/3.20 cnf(ssp14, plain, (~spl1 | spl7 | spl9 | spl19), inference(avatar_split_clause, [status(thm)], [p973, sdef7, sdef9, sdef19])).
% 6.88/3.20 cnf(p975, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p34])).
% 6.88/3.20 cnf(ssp15, plain, (~spl1 | spl12 | spl13 | spl15), inference(avatar_split_clause, [status(thm)], [p975, sdef12, sdef13, sdef15])).
% 6.88/3.20 cnf(p976, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk0,X0) | distinct_lines(sk2,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p34])).
% 6.88/3.20 fof(sdef20, definition, (spl20 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl20])], [avatar_definition])).
% 6.88/3.20 cnf(ssp16, plain, (~spl1 | spl11 | spl20), inference(avatar_split_clause, [status(thm)], [p976, sdef11, sdef20])).
% 6.88/3.20 cnf(p99, plain, distinct_lines(sk1,X0) | convergent_lines(X0,sk0), inference(resolution, [status(thm)], [p42, c2])).
% 6.88/3.20 cnf(p106, plain, distinct_lines(sk1,X0) | distinct_lines(X0,sk0), inference(resolution, [status(thm)], [p99, c13])).
% 6.88/3.20 cnf(p978, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,sk0) | ~spl1), inference(resolution, [status(thm)], [p127, p106])).
% 6.88/3.20 fof(sdef21, definition, (spl21 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,sk0))), introduced(definition, [new_symbols(naming, [spl21])], [avatar_definition])).
% 6.88/3.20 cnf(ssp17, plain, (~spl1 | spl8 | spl10 | spl21), inference(avatar_split_clause, [status(thm)], [p978, sdef8, sdef10, sdef21])).
% 6.88/3.20 cnf(p980, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | distinct_lines(sk1,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p106])).
% 6.88/3.20 cnf(ssp18, plain, (~spl1 | spl7 | spl9 | spl16), inference(avatar_split_clause, [status(thm)], [p980, sdef7, sdef9, sdef16])).
% 6.88/3.20 cnf(p61, plain, distinct_lines(X0,sk2) | distinct_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p56, c4])).
% 6.88/3.20 cnf(p981, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | distinct_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p61])).
% 6.88/3.20 fof(sdef22, definition, (spl22 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl22])], [avatar_definition])).
% 6.88/3.20 cnf(ssp19, plain, (~spl1 | spl12 | spl13 | spl22), inference(avatar_split_clause, [status(thm)], [p981, sdef12, sdef13, sdef22])).
% 6.88/3.20 cnf(p983, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p61])).
% 6.88/3.20 fof(sdef23, definition, (spl23 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl23])], [avatar_definition])).
% 6.88/3.20 cnf(ssp20, plain, (~spl1 | spl7 | spl9 | spl23), inference(avatar_split_clause, [status(thm)], [p983, sdef7, sdef9, sdef23])).
% 6.88/3.20 cnf(p985, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk2) | distinct_lines(sk0,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p61])).
% 6.88/3.20 cnf(ssp21, plain, (~spl1 | spl11 | spl17), inference(avatar_split_clause, [status(thm)], [p985, sdef11, sdef17])).
% 6.88/3.20 cnf(p124, plain, distinct_lines(X0,sk2) | distinct_lines(X0,sk0), inference(resolution, [status(thm)], [p61, c1])).
% 6.88/3.20 cnf(p986, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | distinct_lines(X0,sk0) | ~spl1), inference(resolution, [status(thm)], [p127, p124])).
% 6.88/3.20 cnf(ssp22, plain, (~spl1 | spl12 | spl13 | spl21), inference(avatar_split_clause, [status(thm)], [p986, sdef12, sdef13, sdef21])).
% 6.88/3.20 cnf(p62, plain, distinct_lines(X0,sk1) | distinct_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p57, c4])).
% 6.88/3.20 cnf(p987, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | distinct_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p62])).
% 6.88/3.20 cnf(ssp23, plain, (~spl1 | spl8 | spl10 | spl22), inference(avatar_split_clause, [status(thm)], [p987, sdef8, sdef10, sdef22])).
% 6.88/3.20 cnf(p988, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk1) | distinct_lines(X1,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p62])).
% 6.88/3.20 fof(sdef24, definition, (spl24 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl24])], [avatar_definition])).
% 6.88/3.20 cnf(ssp24, plain, (~spl1 | spl7 | spl9 | spl24), inference(avatar_split_clause, [status(thm)], [p988, sdef7, sdef9, sdef24])).
% 6.88/3.20 cnf(p990, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk1) | distinct_lines(sk0,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p62])).
% 6.88/3.20 cnf(ssp25, plain, (~spl1 | spl11 | spl18), inference(avatar_split_clause, [status(thm)], [p990, sdef11, sdef18])).
% 6.88/3.20 cnf(p81, plain, convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p39, c13])).
% 6.88/3.20 cnf(p991, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(sk0,X0) | convergent_lines(sk1,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p81])).
% 6.88/3.20 fof(sdef25, definition, (spl25 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl25])], [avatar_definition])).
% 6.88/3.20 fof(sdef26, definition, (spl26 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl26])], [avatar_definition])).
% 6.88/3.20 cnf(ssp26, plain, (~spl1 | spl25 | spl26), inference(avatar_split_clause, [status(thm)], [p991, sdef25, sdef26])).
% 6.88/3.20 cnf(p994, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p101])).
% 6.88/3.20 fof(sdef27, definition, (spl27 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk0,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl27])], [avatar_definition])).
% 6.88/3.20 cnf(ssp27, plain, (~spl1 | spl8 | spl10 | spl27), inference(avatar_split_clause, [status(thm)], [p994, sdef8, sdef10, sdef27])).
% 6.88/3.20 cnf(p996, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk1,X0) | convergent_lines(sk0,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p101])).
% 6.88/3.20 cnf(ssp28, plain, (~spl1 | spl16 | spl25), inference(avatar_split_clause, [status(thm)], [p996, sdef16, sdef25])).
% 6.88/3.20 cnf(p122, plain, distinct_lines(X0,sk0) | distinct_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p106, c4])).
% 6.88/3.20 cnf(p997, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk0) | distinct_lines(X1,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p122])).
% 6.88/3.20 fof(sdef28, definition, (spl28 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk0) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl28])], [avatar_definition])).
% 6.88/3.20 cnf(ssp29, plain, (~spl1 | spl8 | spl10 | spl28), inference(avatar_split_clause, [status(thm)], [p997, sdef8, sdef10, sdef28])).
% 6.88/3.20 cnf(p999, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk0) | distinct_lines(sk1,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p122])).
% 6.88/3.20 cnf(ssp30, plain, (~spl1 | spl16 | spl21), inference(avatar_split_clause, [status(thm)], [p999, sdef16, sdef21])).
% 6.88/3.20 cnf(p123, plain, distinct_lines(sk1,X0) | distinct_lines(X0,X1) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p106, c4])).
% 6.88/3.20 cnf(p1000, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk1,X1) | distinct_lines(X1,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p123])).
% 6.88/3.20 fof(sdef29, definition, (spl29 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk1,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl29])], [avatar_definition])).
% 6.88/3.20 cnf(ssp31, plain, (~spl1 | spl7 | spl9 | spl29), inference(avatar_split_clause, [status(thm)], [p1000, sdef7, sdef9, sdef29])).
% 6.88/3.20 cnf(p137, plain, distinct_lines(X0,sk0) | distinct_lines(X0,X1) | distinct_lines(sk2,X1), inference(resolution, [status(thm)], [p124, c4])).
% 6.88/3.20 cnf(p1002, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk0) | distinct_lines(sk2,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p137])).
% 6.88/3.20 cnf(ssp32, plain, (~spl1 | spl20 | spl21), inference(avatar_split_clause, [status(thm)], [p1002, sdef20, sdef21])).
% 6.88/3.20 cnf(p1003, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk0) | distinct_lines(X1,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p137])).
% 6.88/3.20 cnf(ssp33, plain, (~spl1 | spl12 | spl13 | spl28), inference(avatar_split_clause, [status(thm)], [p1003, sdef12, sdef13, sdef28])).
% 6.88/3.20 cnf(p277, plain, distinct_lines(X0,sk0) | distinct_lines(sk2,X0), inference(resolution, [status(thm)], [p137, c1])).
% 6.88/3.20 cnf(p1004, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | distinct_lines(sk2,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p277])).
% 6.88/3.20 cnf(ssp34, plain, (~spl1 | spl7 | spl9 | spl20), inference(avatar_split_clause, [status(thm)], [p1004, sdef7, sdef9, sdef20])).
% 6.88/3.20 cnf(p79, plain, convergent_lines(sk1,X0) | convergent_lines(X1,X0) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p39, c13])).
% 6.88/3.20 cnf(p143, plain, convergent_lines(sk1,X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p79, c13])).
% 6.88/3.20 cnf(p1005, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk1,X1) | distinct_lines(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p143])).
% 6.88/3.20 fof(sdef30, definition, (spl30 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk1,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl30])], [avatar_definition])).
% 6.88/3.20 cnf(ssp35, plain, (~spl1 | spl7 | spl9 | spl30), inference(avatar_split_clause, [status(thm)], [p1005, sdef7, sdef9, sdef30])).
% 6.88/3.20 cnf(p1007, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(sk1,X1) | distinct_lines(sk0,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p143])).
% 6.88/3.20 cnf(ssp36, plain, (~spl1 | spl11 | spl26), inference(avatar_split_clause, [status(thm)], [p1007, sdef11, sdef26])).
% 6.88/3.20 cnf(p1008, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk0,X1) | distinct_lines(X1,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p152])).
% 6.88/3.20 fof(sdef31, definition, (spl31 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk0,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl31])], [avatar_definition])).
% 6.88/3.20 cnf(ssp37, plain, (~spl1 | spl8 | spl10 | spl31), inference(avatar_split_clause, [status(thm)], [p1008, sdef8, sdef10, sdef31])).
% 6.88/3.20 cnf(p1010, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(X0,sk1) | convergent_lines(sk0,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p167])).
% 6.88/3.20 fof(sdef32, definition, (spl32 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl32])], [avatar_definition])).
% 6.88/3.20 cnf(ssp38, plain, (~spl1 | spl25 | spl32), inference(avatar_split_clause, [status(thm)], [p1010, sdef25, sdef32])).
% 6.88/3.20 cnf(p86, plain, convergent_lines(sk0,X0) | distinct_lines(X0,sk1), inference(resolution, [status(thm)], [p78, c13])).
% 6.88/3.20 cnf(p97, plain, distinct_lines(X0,sk1) | convergent_lines(sk0,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p86, c5])).
% 6.88/3.20 cnf(p203, plain, distinct_lines(X0,sk1) | convergent_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p97, c13])).
% 6.88/3.20 cnf(p1012, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk1) | convergent_lines(sk0,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p203])).
% 6.88/3.20 cnf(ssp39, plain, (~spl1 | spl18 | spl25), inference(avatar_split_clause, [status(thm)], [p1012, sdef18, sdef25])).
% 6.88/3.20 cnf(p280, plain, distinct_lines(sk2,X0) | distinct_lines(X0,X1) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p277, c4])).
% 6.88/3.20 cnf(p1013, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p280])).
% 6.88/3.20 fof(sdef33, definition, (spl33 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk2,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl33])], [avatar_definition])).
% 6.88/3.20 cnf(ssp40, plain, (~spl1 | spl7 | spl9 | spl33), inference(avatar_split_clause, [status(thm)], [p1013, sdef7, sdef9, sdef33])).
% 6.88/3.20 cnf(p166, plain, convergent_lines(X0,sk1) | convergent_lines(X0,X1) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p87, c13])).
% 6.88/3.20 cnf(p307, plain, convergent_lines(X0,sk1) | distinct_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p166, c13])).
% 6.88/3.20 cnf(p1015, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk1) | distinct_lines(X1,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p307])).
% 6.88/3.20 fof(sdef34, definition, (spl34 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl34])], [avatar_definition])).
% 6.88/3.20 cnf(ssp41, plain, (~spl1 | spl7 | spl9 | spl34), inference(avatar_split_clause, [status(thm)], [p1015, sdef7, sdef9, sdef34])).
% 6.88/3.20 cnf(p1017, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(X0,sk1) | distinct_lines(sk0,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p307])).
% 6.88/3.20 cnf(ssp42, plain, (~spl1 | spl11 | spl32), inference(avatar_split_clause, [status(thm)], [p1017, sdef11, sdef32])).
% 6.88/3.20 cnf(p165, plain, convergent_lines(X0,sk1) | convergent_lines(X0,sk0), inference(resolution, [status(thm)], [p87, c2])).
% 6.88/3.20 cnf(p178, plain, convergent_lines(X0,sk0) | convergent_lines(X0,X1) | convergent_lines(sk1,X1), inference(resolution, [status(thm)], [p165, c5])).
% 6.88/3.20 cnf(p340, plain, convergent_lines(X0,sk0) | convergent_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p178, c13])).
% 6.88/3.20 cnf(p1018, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(X0,sk0) | convergent_lines(sk1,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p340])).
% 6.88/3.20 fof(sdef35, definition, (spl35 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X0,sk0))), introduced(definition, [new_symbols(naming, [spl35])], [avatar_definition])).
% 6.88/3.20 cnf(ssp43, plain, (~spl1 | spl26 | spl35), inference(avatar_split_clause, [status(thm)], [p1018, sdef26, sdef35])).
% 6.88/3.20 cnf(p213, plain, convergent_lines(sk0,X0) | distinct_lines(sk2,X0), inference(resolution, [status(thm)], [p101, c15])).
% 6.88/3.20 cnf(p240, plain, distinct_lines(sk2,X0) | convergent_lines(sk0,X1) | convergent_lines(X0,X1), inference(resolution, [status(thm)], [p213, c5])).
% 6.88/3.20 cnf(p367, plain, distinct_lines(sk2,X0) | convergent_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p240, c13])).
% 6.88/3.20 cnf(p1020, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p367])).
% 6.88/3.20 cnf(ssp44, plain, (~spl1 | spl12 | spl13 | spl27), inference(avatar_split_clause, [status(thm)], [p1020, sdef12, sdef13, sdef27])).
% 6.88/3.20 cnf(p1021, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk2,X0) | convergent_lines(sk0,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p367])).
% 6.88/3.20 cnf(ssp45, plain, (~spl1 | spl20 | spl25), inference(avatar_split_clause, [status(thm)], [p1021, sdef20, sdef25])).
% 6.88/3.20 cnf(p237, plain, (convergent_lines(sk0,X0) | convergent_lines(sk2,X0) | ~spl3), inference(resolution, [status(thm)], [p216, c5])).
% 6.88/3.20 cnf(p243, plain, (convergent_lines(sk0,X0) | convergent_lines(sk2,X1) | convergent_lines(X0,X1) | ~spl3), inference(resolution, [status(thm)], [p237, c5])).
% 6.88/3.20 cnf(p379, plain, (convergent_lines(sk0,X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl3), inference(resolution, [status(thm)], [p243, c13])).
% 6.88/3.20 cnf(p1022, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(sk0,X0) | convergent_lines(sk2,X1) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p127, p379])).
% 6.88/3.20 fof(sdef36, definition, (spl36 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl36])], [avatar_definition])).
% 6.88/3.20 cnf(ssp46, plain, (~spl1 | ~spl3 | spl25 | spl36), inference(avatar_split_clause, [status(thm)], [p1022, sdef25, sdef36])).
% 6.88/3.20 cnf(p1024, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk2) | convergent_lines(sk0,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p400])).
% 6.88/3.20 cnf(ssp47, plain, (~spl1 | spl17 | spl25), inference(avatar_split_clause, [status(thm)], [p1024, sdef17, sdef25])).
% 6.88/3.20 cnf(p316, plain, convergent_lines(X0,sk1) | distinct_lines(X0,sk0), inference(resolution, [status(thm)], [p167, c2])).
% 6.88/3.20 cnf(p336, plain, distinct_lines(X0,sk0) | convergent_lines(X0,X1) | convergent_lines(sk1,X1), inference(resolution, [status(thm)], [p316, c5])).
% 6.88/3.20 cnf(p419, plain, distinct_lines(X0,sk0) | convergent_lines(sk1,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p336, c13])).
% 6.88/3.20 cnf(p1025, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk0) | convergent_lines(sk1,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p419])).
% 6.88/3.20 cnf(ssp48, plain, (~spl1 | spl21 | spl26), inference(avatar_split_clause, [status(thm)], [p1025, sdef21, sdef26])).
% 6.88/3.20 cnf(p427, plain, convergent_lines(X0,sk0) | distinct_lines(X0,X1) | distinct_lines(sk1,X1), inference(resolution, [status(thm)], [p340, c13])).
% 6.88/3.20 cnf(p1026, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(X0,sk0) | distinct_lines(sk1,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p427])).
% 6.88/3.20 cnf(ssp49, plain, (~spl1 | spl16 | spl35), inference(avatar_split_clause, [status(thm)], [p1026, sdef16, sdef35])).
% 6.88/3.20 cnf(p1027, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk0) | distinct_lines(X1,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p427])).
% 6.88/3.20 fof(sdef37, definition, (spl37 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk0) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl37])], [avatar_definition])).
% 6.88/3.20 cnf(ssp50, plain, (~spl1 | spl8 | spl10 | spl37), inference(avatar_split_clause, [status(thm)], [p1027, sdef8, sdef10, sdef37])).
% 6.88/3.20 cnf(p377, plain, (convergent_lines(sk2,X0) | convergent_lines(X1,X0) | distinct_lines(sk0,X1) | ~spl3), inference(resolution, [status(thm)], [p243, c13])).
% 6.88/3.20 cnf(p459, plain, (convergent_lines(sk2,X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X0) | ~spl3), inference(resolution, [status(thm)], [p377, c13])).
% 6.88/3.20 cnf(p1029, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p127, p459])).
% 6.88/3.20 fof(sdef38, definition, (spl38 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl38])], [avatar_definition])).
% 6.88/3.20 cnf(ssp51, plain, (~spl1 | ~spl3 | spl7 | spl9 | spl38), inference(avatar_split_clause, [status(thm)], [p1029, sdef7, sdef9, sdef38])).
% 6.88/3.20 cnf(p1031, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(sk2,X1) | distinct_lines(sk0,X0) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p127, p459])).
% 6.88/3.20 cnf(ssp52, plain, (~spl1 | ~spl3 | spl11 | spl36), inference(avatar_split_clause, [status(thm)], [p1031, sdef11, sdef36])).
% 6.88/3.20 cnf(p378, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,X1) | distinct_lines(sk2,X1) | ~spl3), inference(resolution, [status(thm)], [p243, c13])).
% 6.88/3.20 cnf(p468, plain, (convergent_lines(sk0,X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl3), inference(resolution, [status(thm)], [p378, c13])).
% 6.88/3.20 cnf(p1032, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk0,X1) | distinct_lines(X1,X0) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p127, p468])).
% 6.88/3.20 cnf(ssp53, plain, (~spl1 | ~spl3 | spl12 | spl13 | spl31), inference(avatar_split_clause, [status(thm)], [p1032, sdef12, sdef13, sdef31])).
% 6.88/3.20 cnf(p376, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | ~spl3), inference(resolution, [status(thm)], [p243, c2])).
% 6.88/3.20 cnf(p390, plain, (convergent_lines(X0,sk2) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl3), inference(resolution, [status(thm)], [p376, c5])).
% 6.88/3.20 cnf(p483, plain, (convergent_lines(X0,sk2) | convergent_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl3), inference(resolution, [status(thm)], [p390, c13])).
% 6.88/3.20 cnf(p1033, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(X0,sk2) | convergent_lines(sk0,X1) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p127, p483])).
% 6.88/3.20 fof(sdef39, definition, (spl39 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl39])], [avatar_definition])).
% 6.88/3.20 cnf(ssp54, plain, (~spl1 | ~spl3 | spl25 | spl39), inference(avatar_split_clause, [status(thm)], [p1033, sdef25, sdef39])).
% 6.88/3.20 cnf(p339, plain, convergent_lines(X0,sk0) | convergent_lines(sk1,X0), inference(resolution, [status(thm)], [p178, c2])).
% 6.88/3.20 cnf(p351, plain, convergent_lines(sk1,X0) | convergent_lines(X0,X1) | convergent_lines(sk0,X1), inference(resolution, [status(thm)], [p339, c5])).
% 6.88/3.20 cnf(p440, plain, convergent_lines(sk1,X0) | convergent_lines(sk0,X1) | distinct_lines(X0,X1), inference(resolution, [status(thm)], [p351, c13])).
% 6.88/3.20 cnf(p520, plain, convergent_lines(sk1,X0) | distinct_lines(X0,X1) | distinct_lines(sk0,X1), inference(resolution, [status(thm)], [p440, c13])).
% 6.88/3.20 cnf(p1035, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk1,X1) | distinct_lines(X1,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p520])).
% 6.88/3.20 fof(sdef40, definition, (spl40 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk1,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl40])], [avatar_definition])).
% 6.88/3.20 cnf(ssp55, plain, (~spl1 | spl7 | spl9 | spl40), inference(avatar_split_clause, [status(thm)], [p1035, sdef7, sdef9, sdef40])).
% 6.88/3.20 cnf(p482, plain, (convergent_lines(X0,sk2) | convergent_lines(X0,X1) | distinct_lines(sk0,X1) | ~spl3), inference(resolution, [status(thm)], [p390, c13])).
% 6.88/3.20 cnf(p541, plain, (convergent_lines(X0,sk2) | distinct_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl3), inference(resolution, [status(thm)], [p482, c13])).
% 6.88/3.20 cnf(p1037, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk2) | distinct_lines(X1,X0) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p127, p541])).
% 6.88/3.20 fof(sdef41, definition, (spl41 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk2) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl41])], [avatar_definition])).
% 6.88/3.20 cnf(ssp56, plain, (~spl1 | ~spl3 | spl7 | spl9 | spl41), inference(avatar_split_clause, [status(thm)], [p1037, sdef7, sdef9, sdef41])).
% 6.88/3.20 cnf(p1039, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(X0,sk2) | distinct_lines(sk0,X1) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p127, p541])).
% 6.88/3.20 cnf(ssp57, plain, (~spl1 | ~spl3 | spl11 | spl39), inference(avatar_split_clause, [status(thm)], [p1039, sdef11, sdef39])).
% 6.88/3.20 cnf(p58, plain, distinct_lines(sk1,X0) | distinct_lines(X1,X0) | distinct_lines(sk0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p32, c4])).
% 6.88/3.20 cnf(p1040, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,X0) | distinct_lines(sk0,X2) | distinct_lines(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p127, p58])).
% 6.88/3.20 fof(sdef42, definition, (spl42 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,X0) | distinct_lines(sk0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl42])], [avatar_definition])).
% 6.88/3.20 cnf(ssp58, plain, (~spl1 | spl8 | spl10 | spl42), inference(avatar_split_clause, [status(thm)], [p1040, sdef8, sdef10, sdef42])).
% 6.88/3.20 cnf(p1042, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk1,X1) | distinct_lines(sk0,X2) | distinct_lines(X0,X2) | ~spl1), inference(resolution, [status(thm)], [p127, p58])).
% 6.88/3.20 cnf(ssp59, plain, (~spl1 | spl16 | spl22), inference(avatar_split_clause, [status(thm)], [p1042, sdef16, sdef22])).
% 6.88/3.20 cnf(p1043, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk1,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p58])).
% 6.88/3.20 fof(sdef43, definition, (spl43 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk1,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl43])], [avatar_definition])).
% 6.88/3.20 cnf(ssp60, plain, (~spl1 | spl7 | spl9 | spl43), inference(avatar_split_clause, [status(thm)], [p1043, sdef7, sdef9, sdef43])).
% 6.88/3.20 cnf(p1045, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk1,X2) | distinct_lines(X0,X2) | distinct_lines(sk0,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p58])).
% 6.88/3.20 cnf(ssp61, plain, (~spl1 | spl11 | spl14), inference(avatar_split_clause, [status(thm)], [p1045, sdef11, sdef14])).
% 6.88/3.20 cnf(p481, plain, (convergent_lines(X0,sk2) | convergent_lines(X0,sk0) | ~spl3), inference(resolution, [status(thm)], [p390, c2])).
% 6.88/3.20 cnf(p494, plain, (convergent_lines(X0,sk0) | convergent_lines(X0,X1) | convergent_lines(sk2,X1) | ~spl3), inference(resolution, [status(thm)], [p481, c5])).
% 6.88/3.20 cnf(p560, plain, (convergent_lines(X0,sk0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl3), inference(resolution, [status(thm)], [p494, c13])).
% 6.88/3.20 cnf(p1046, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(X0,sk0) | convergent_lines(sk2,X1) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p127, p560])).
% 6.88/3.20 cnf(ssp62, plain, (~spl1 | ~spl3 | spl35 | spl36), inference(avatar_split_clause, [status(thm)], [p1046, sdef35, sdef36])).
% 6.88/3.20 cnf(p548, plain, (convergent_lines(X0,sk2) | distinct_lines(X0,sk0) | ~spl3), inference(resolution, [status(thm)], [p483, c2])).
% 6.88/3.20 cnf(p556, plain, (distinct_lines(X0,sk0) | convergent_lines(X0,X1) | convergent_lines(sk2,X1) | ~spl3), inference(resolution, [status(thm)], [p548, c5])).
% 6.88/3.20 cnf(p586, plain, (distinct_lines(X0,sk0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl3), inference(resolution, [status(thm)], [p556, c13])).
% 6.88/3.20 cnf(p1047, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk0) | convergent_lines(sk2,X1) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p127, p586])).
% 6.88/3.20 cnf(ssp63, plain, (~spl1 | ~spl3 | spl21 | spl36), inference(avatar_split_clause, [status(thm)], [p1047, sdef21, sdef36])).
% 6.88/3.20 cnf(p59, plain, distinct_lines(sk0,X0) | distinct_lines(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p32, c4])).
% 6.88/3.20 cnf(p1048, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p127, p59])).
% 6.88/3.20 fof(sdef44, definition, (spl44 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(sk1,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl44])], [avatar_definition])).
% 6.88/3.20 cnf(ssp64, plain, (~spl1 | spl7 | spl9 | spl44), inference(avatar_split_clause, [status(thm)], [p1048, sdef7, sdef9, sdef44])).
% 6.88/3.20 cnf(p1050, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p59])).
% 6.88/3.20 fof(sdef45, definition, (spl45 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl45])], [avatar_definition])).
% 6.88/3.20 cnf(ssp65, plain, (~spl1 | spl8 | spl10 | spl45), inference(avatar_split_clause, [status(thm)], [p1050, sdef8, sdef10, sdef45])).
% 6.88/3.20 cnf(p1052, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X0) | distinct_lines(sk1,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p59])).
% 6.88/3.20 cnf(ssp66, plain, (~spl1 | spl15 | spl16), inference(avatar_split_clause, [status(thm)], [p1052, sdef15, sdef16])).
% 6.88/3.20 cnf(p598, plain, (convergent_lines(X0,sk0) | distinct_lines(X0,X1) | distinct_lines(sk2,X1) | ~spl3), inference(resolution, [status(thm)], [p560, c13])).
% 6.88/3.20 cnf(p1053, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(X0,sk0) | distinct_lines(sk2,X1) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p127, p598])).
% 6.88/3.20 cnf(ssp67, plain, (~spl1 | ~spl3 | spl20 | spl35), inference(avatar_split_clause, [status(thm)], [p1053, sdef20, sdef35])).
% 6.88/3.20 cnf(p1054, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk0) | distinct_lines(X1,X0) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p127, p598])).
% 6.88/3.20 cnf(ssp68, plain, (~spl1 | ~spl3 | spl12 | spl13 | spl37), inference(avatar_split_clause, [status(thm)], [p1054, sdef12, sdef13, sdef37])).
% 6.88/3.20 cnf(p60, plain, distinct_lines(sk0,X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p32, c4])).
% 6.88/3.20 cnf(p1055, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p127, p60])).
% 6.88/3.20 fof(sdef46, definition, (spl46 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk1,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl46])], [avatar_definition])).
% 6.88/3.20 cnf(ssp69, plain, (~spl1 | spl7 | spl9 | spl46), inference(avatar_split_clause, [status(thm)], [p1055, sdef7, sdef9, sdef46])).
% 6.88/3.20 cnf(p1057, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X2) | distinct_lines(X0,X2) | ~spl1), inference(resolution, [status(thm)], [p127, p60])).
% 6.88/3.20 fof(sdef47, definition, (spl47 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl47])], [avatar_definition])).
% 6.88/3.20 cnf(ssp70, plain, (~spl1 | spl8 | spl10 | spl47), inference(avatar_split_clause, [status(thm)], [p1057, sdef8, sdef10, sdef47])).
% 6.88/3.20 cnf(p1059, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk0,X0) | distinct_lines(sk1,X2) | distinct_lines(X2,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p60])).
% 6.88/3.20 cnf(ssp71, plain, (~spl1 | spl11 | spl29), inference(avatar_split_clause, [status(thm)], [p1059, sdef11, sdef29])).
% 6.88/3.20 cnf(p623, plain, distinct_lines(sk0,X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk2), inference(resolution, [status(thm)], [p59, c15])).
% 6.88/3.20 cnf(p1060, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk2) | ~spl1), inference(resolution, [status(thm)], [p127, p623])).
% 6.88/3.20 fof(sdef48, definition, (spl48 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk2))), introduced(definition, [new_symbols(naming, [spl48])], [avatar_definition])).
% 6.88/3.20 cnf(ssp72, plain, (~spl1 | spl7 | spl9 | spl48), inference(avatar_split_clause, [status(thm)], [p1060, sdef7, sdef9, sdef48])).
% 6.88/3.20 cnf(p624, plain, distinct_lines(sk0,X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk1), inference(resolution, [status(thm)], [p59, c1])).
% 6.88/3.20 cnf(p1062, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk1) | ~spl1), inference(resolution, [status(thm)], [p127, p624])).
% 6.88/3.20 fof(sdef49, definition, (spl49 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk1))), introduced(definition, [new_symbols(naming, [spl49])], [avatar_definition])).
% 6.88/3.20 cnf(ssp73, plain, (~spl1 | spl7 | spl9 | spl49), inference(avatar_split_clause, [status(thm)], [p1062, sdef7, sdef9, sdef49])).
% 6.88/3.20 cnf(p559, plain, (convergent_lines(X0,sk0) | convergent_lines(sk2,X0) | ~spl3), inference(resolution, [status(thm)], [p494, c2])).
% 6.88/3.20 cnf(p571, plain, (convergent_lines(sk2,X0) | convergent_lines(X0,X1) | convergent_lines(sk0,X1) | ~spl3), inference(resolution, [status(thm)], [p559, c5])).
% 6.88/3.20 cnf(p610, plain, (convergent_lines(sk2,X0) | convergent_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl3), inference(resolution, [status(thm)], [p571, c13])).
% 6.88/3.20 cnf(p634, plain, (convergent_lines(sk2,X0) | distinct_lines(X0,X1) | distinct_lines(sk0,X1) | ~spl3), inference(resolution, [status(thm)], [p610, c13])).
% 6.88/3.20 cnf(p1064, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk2,X1) | distinct_lines(X1,X0) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p127, p634])).
% 6.88/3.20 fof(sdef50, definition, (spl50 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk2,X1) | distinct_lines(X1,X0))), introduced(definition, [new_symbols(naming, [spl50])], [avatar_definition])).
% 6.88/3.20 cnf(ssp74, plain, (~spl1 | ~spl3 | spl7 | spl9 | spl50), inference(avatar_split_clause, [status(thm)], [p1064, sdef7, sdef9, sdef50])).
% 6.88/3.20 cnf(p75, plain, distinct_lines(sk2,X0) | distinct_lines(X1,X0) | distinct_lines(sk0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p34, c4])).
% 6.88/3.20 cnf(p1066, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,X0) | distinct_lines(sk0,X2) | distinct_lines(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p127, p75])).
% 6.88/3.20 cnf(ssp75, plain, (~spl1 | spl12 | spl13 | spl42), inference(avatar_split_clause, [status(thm)], [p1066, sdef12, sdef13, sdef42])).
% 6.88/3.20 cnf(p1067, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk2,X1) | distinct_lines(sk0,X2) | distinct_lines(X0,X2) | ~spl1), inference(resolution, [status(thm)], [p127, p75])).
% 6.88/3.20 cnf(ssp76, plain, (~spl1 | spl20 | spl22), inference(avatar_split_clause, [status(thm)], [p1067, sdef20, sdef22])).
% 6.88/3.20 cnf(p1068, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk2,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p75])).
% 6.88/3.20 fof(sdef51, definition, (spl51 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk2,X1) | distinct_lines(X2,X1) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl51])], [avatar_definition])).
% 6.88/3.20 cnf(ssp77, plain, (~spl1 | spl7 | spl9 | spl51), inference(avatar_split_clause, [status(thm)], [p1068, sdef7, sdef9, sdef51])).
% 6.88/3.20 cnf(p1070, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk2,X2) | distinct_lines(X0,X2) | distinct_lines(sk0,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p75])).
% 6.88/3.20 cnf(ssp78, plain, (~spl1 | spl11 | spl19), inference(avatar_split_clause, [status(thm)], [p1070, sdef11, sdef19])).
% 6.88/3.20 cnf(p76, plain, distinct_lines(sk0,X0) | distinct_lines(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p34, c4])).
% 6.88/3.20 cnf(p1071, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p127, p76])).
% 6.88/3.20 fof(sdef52, definition, (spl52 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(sk2,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl52])], [avatar_definition])).
% 6.88/3.20 cnf(ssp79, plain, (~spl1 | spl7 | spl9 | spl52), inference(avatar_split_clause, [status(thm)], [p1071, sdef7, sdef9, sdef52])).
% 6.88/3.20 cnf(p1073, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X2) | distinct_lines(X2,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p76])).
% 6.88/3.20 cnf(ssp80, plain, (~spl1 | spl12 | spl13 | spl45), inference(avatar_split_clause, [status(thm)], [p1073, sdef12, sdef13, sdef45])).
% 6.88/3.20 cnf(p1074, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X0) | distinct_lines(sk2,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p76])).
% 6.88/3.20 cnf(ssp81, plain, (~spl1 | spl15 | spl20), inference(avatar_split_clause, [status(thm)], [p1074, sdef15, sdef20])).
% 6.88/3.20 cnf(p77, plain, distinct_lines(sk0,X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p34, c4])).
% 6.88/3.20 cnf(p1075, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p127, p77])).
% 6.88/3.20 fof(sdef53, definition, (spl53 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl53])], [avatar_definition])).
% 6.88/3.20 cnf(ssp82, plain, (~spl1 | spl7 | spl9 | spl53), inference(avatar_split_clause, [status(thm)], [p1075, sdef7, sdef9, sdef53])).
% 6.88/3.20 cnf(p1077, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X2) | distinct_lines(X0,X2) | ~spl1), inference(resolution, [status(thm)], [p127, p77])).
% 6.88/3.20 cnf(ssp83, plain, (~spl1 | spl12 | spl13 | spl47), inference(avatar_split_clause, [status(thm)], [p1077, sdef12, sdef13, sdef47])).
% 6.88/3.20 cnf(p1078, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(sk0,X0) | distinct_lines(sk2,X2) | distinct_lines(X2,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p77])).
% 6.88/3.20 cnf(ssp84, plain, (~spl1 | spl11 | spl33), inference(avatar_split_clause, [status(thm)], [p1078, sdef11, sdef33])).
% 6.88/3.20 cnf(p83, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(sk1,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [p39, c5])).
% 6.88/3.20 cnf(p676, plain, convergent_lines(sk0,X0) | convergent_lines(X0,X1) | convergent_lines(X1,sk1), inference(resolution, [status(thm)], [p83, c2])).
% 6.88/3.20 cnf(p689, plain, convergent_lines(X0,X1) | convergent_lines(X1,sk1) | distinct_lines(sk0,X0), inference(resolution, [status(thm)], [p676, c13])).
% 6.88/3.20 cnf(p699, plain, convergent_lines(X0,sk1) | distinct_lines(sk0,X1) | distinct_lines(X1,X0), inference(resolution, [status(thm)], [p689, c13])).
% 6.88/3.20 cnf(p1079, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk1) | distinct_lines(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p699])).
% 6.88/3.20 fof(sdef54, definition, (spl54 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk1) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl54])], [avatar_definition])).
% 6.88/3.20 cnf(ssp85, plain, (~spl1 | spl7 | spl9 | spl54), inference(avatar_split_clause, [status(thm)], [p1079, sdef7, sdef9, sdef54])).
% 6.88/3.20 cnf(p1081, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk0) | distinct_lines(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p747])).
% 6.88/3.20 fof(sdef55, definition, (spl55 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk0) | distinct_lines(X0,X1))), introduced(definition, [new_symbols(naming, [spl55])], [avatar_definition])).
% 6.88/3.20 cnf(ssp86, plain, (~spl1 | spl8 | spl10 | spl55), inference(avatar_split_clause, [status(thm)], [p1081, sdef8, sdef10, sdef55])).
% 6.88/3.20 cnf(p755, plain, distinct_lines(sk1,X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk0), inference(resolution, [status(thm)], [p747, c13])).
% 6.88/3.20 cnf(p1083, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk0) | ~spl1), inference(resolution, [status(thm)], [p127, p755])).
% 6.88/3.20 fof(sdef56, definition, (spl56 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(X1,sk0))), introduced(definition, [new_symbols(naming, [spl56])], [avatar_definition])).
% 6.88/3.20 cnf(ssp87, plain, (~spl1 | spl8 | spl10 | spl56), inference(avatar_split_clause, [status(thm)], [p1083, sdef8, sdef10, sdef56])).
% 6.88/3.20 cnf(p754, plain, (convergent_lines(sk2,sk0) | ~spl6), inference(avatar_component_clause, [status(thm)], [sdef6])).
% 6.88/3.20 cnf(p759, plain, (convergent_lines(sk2,X0) | convergent_lines(sk0,X0) | ~spl6), inference(resolution, [status(thm)], [p754, c5])).
% 6.88/3.20 cnf(p763, plain, (convergent_lines(sk0,X0) | convergent_lines(sk2,X1) | convergent_lines(X0,X1) | ~spl6), inference(resolution, [status(thm)], [p759, c5])).
% 6.88/3.20 cnf(p783, plain, (convergent_lines(sk0,X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl6), inference(resolution, [status(thm)], [p763, c13])).
% 6.88/3.20 cnf(p1085, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(sk0,X0) | convergent_lines(sk2,X1) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p127, p783])).
% 6.88/3.20 cnf(ssp88, plain, (~spl1 | ~spl6 | spl25 | spl36), inference(avatar_split_clause, [status(thm)], [p1085, sdef25, sdef36])).
% 6.88/3.20 cnf(p781, plain, (convergent_lines(sk2,X0) | convergent_lines(X1,X0) | distinct_lines(sk0,X1) | ~spl6), inference(resolution, [status(thm)], [p763, c13])).
% 6.88/3.20 cnf(p803, plain, (convergent_lines(sk2,X0) | distinct_lines(sk0,X1) | distinct_lines(X1,X0) | ~spl6), inference(resolution, [status(thm)], [p781, c13])).
% 6.88/3.20 cnf(p1086, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p127, p803])).
% 6.88/3.20 cnf(ssp89, plain, (~spl1 | ~spl6 | spl7 | spl9 | spl38), inference(avatar_split_clause, [status(thm)], [p1086, sdef7, sdef9, sdef38])).
% 6.88/3.20 cnf(p1087, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(sk2,X1) | distinct_lines(sk0,X0) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p127, p803])).
% 6.88/3.20 cnf(ssp90, plain, (~spl1 | ~spl6 | spl11 | spl36), inference(avatar_split_clause, [status(thm)], [p1087, sdef11, sdef36])).
% 6.88/3.20 cnf(p782, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,X1) | distinct_lines(sk2,X1) | ~spl6), inference(resolution, [status(thm)], [p763, c13])).
% 6.88/3.20 cnf(p812, plain, (convergent_lines(sk0,X0) | distinct_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl6), inference(resolution, [status(thm)], [p782, c13])).
% 6.88/3.20 cnf(p1088, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk0,X1) | distinct_lines(X1,X0) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p127, p812])).
% 6.88/3.20 cnf(ssp91, plain, (~spl1 | ~spl6 | spl12 | spl13 | spl31), inference(avatar_split_clause, [status(thm)], [p1088, sdef12, sdef13, sdef31])).
% 6.88/3.20 cnf(p780, plain, (convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | ~spl6), inference(resolution, [status(thm)], [p763, c2])).
% 6.88/3.20 cnf(p794, plain, (convergent_lines(X0,sk2) | convergent_lines(sk0,X1) | convergent_lines(X0,X1) | ~spl6), inference(resolution, [status(thm)], [p780, c5])).
% 6.88/3.20 cnf(p827, plain, (convergent_lines(X0,sk2) | convergent_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl6), inference(resolution, [status(thm)], [p794, c13])).
% 6.88/3.20 cnf(p1089, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(X0,sk2) | convergent_lines(sk0,X1) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p127, p827])).
% 6.88/3.20 cnf(ssp92, plain, (~spl1 | ~spl6 | spl25 | spl39), inference(avatar_split_clause, [status(thm)], [p1089, sdef25, sdef39])).
% 6.88/3.20 cnf(p826, plain, (convergent_lines(X0,sk2) | convergent_lines(X0,X1) | distinct_lines(sk0,X1) | ~spl6), inference(resolution, [status(thm)], [p794, c13])).
% 6.88/3.20 cnf(p850, plain, (convergent_lines(X0,sk2) | distinct_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl6), inference(resolution, [status(thm)], [p826, c13])).
% 6.88/3.20 cnf(p1090, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk2) | distinct_lines(X1,X0) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p127, p850])).
% 6.88/3.20 cnf(ssp93, plain, (~spl1 | ~spl6 | spl7 | spl9 | spl41), inference(avatar_split_clause, [status(thm)], [p1090, sdef7, sdef9, sdef41])).
% 6.88/3.20 cnf(p1091, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(X0,sk2) | distinct_lines(sk0,X1) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p127, p850])).
% 6.88/3.20 cnf(ssp94, plain, (~spl1 | ~spl6 | spl11 | spl39), inference(avatar_split_clause, [status(thm)], [p1091, sdef11, sdef39])).
% 6.88/3.20 cnf(p825, plain, (convergent_lines(X0,sk2) | convergent_lines(X0,sk0) | ~spl6), inference(resolution, [status(thm)], [p794, c2])).
% 6.88/3.20 cnf(p836, plain, (convergent_lines(X0,sk0) | convergent_lines(X0,X1) | convergent_lines(sk2,X1) | ~spl6), inference(resolution, [status(thm)], [p825, c5])).
% 6.88/3.20 cnf(p869, plain, (convergent_lines(X0,sk0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl6), inference(resolution, [status(thm)], [p836, c13])).
% 6.88/3.20 cnf(p1092, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(X0,sk0) | convergent_lines(sk2,X1) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p127, p869])).
% 6.88/3.20 cnf(ssp95, plain, (~spl1 | ~spl6 | spl35 | spl36), inference(avatar_split_clause, [status(thm)], [p1092, sdef35, sdef36])).
% 6.88/3.20 cnf(p857, plain, (convergent_lines(X0,sk2) | distinct_lines(X0,sk0) | ~spl6), inference(resolution, [status(thm)], [p827, c2])).
% 6.88/3.20 cnf(p865, plain, (distinct_lines(X0,sk0) | convergent_lines(X0,X1) | convergent_lines(sk2,X1) | ~spl6), inference(resolution, [status(thm)], [p857, c5])).
% 6.88/3.20 cnf(p892, plain, (distinct_lines(X0,sk0) | convergent_lines(sk2,X1) | distinct_lines(X0,X1) | ~spl6), inference(resolution, [status(thm)], [p865, c13])).
% 6.88/3.20 cnf(p1093, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk0) | convergent_lines(sk2,X1) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p127, p892])).
% 6.88/3.20 cnf(ssp96, plain, (~spl1 | ~spl6 | spl21 | spl36), inference(avatar_split_clause, [status(thm)], [p1093, sdef21, sdef36])).
% 6.88/3.20 cnf(p900, plain, (convergent_lines(X0,sk0) | distinct_lines(X0,X1) | distinct_lines(sk2,X1) | ~spl6), inference(resolution, [status(thm)], [p869, c13])).
% 6.88/3.20 cnf(p1094, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | convergent_lines(X0,sk0) | distinct_lines(sk2,X1) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p127, p900])).
% 6.88/3.20 cnf(ssp97, plain, (~spl1 | ~spl6 | spl20 | spl35), inference(avatar_split_clause, [status(thm)], [p1094, sdef20, sdef35])).
% 6.88/3.20 cnf(p1095, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(X1,sk0) | distinct_lines(X1,X0) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p127, p900])).
% 6.88/3.20 cnf(ssp98, plain, (~spl1 | ~spl6 | spl12 | spl13 | spl37), inference(avatar_split_clause, [status(thm)], [p1095, sdef12, sdef13, sdef37])).
% 6.88/3.20 cnf(p868, plain, (convergent_lines(X0,sk0) | convergent_lines(sk2,X0) | ~spl6), inference(resolution, [status(thm)], [p836, c2])).
% 6.88/3.20 cnf(p880, plain, (convergent_lines(sk2,X0) | convergent_lines(X0,X1) | convergent_lines(sk0,X1) | ~spl6), inference(resolution, [status(thm)], [p868, c5])).
% 6.88/3.20 cnf(p912, plain, (convergent_lines(sk2,X0) | convergent_lines(sk0,X1) | distinct_lines(X0,X1) | ~spl6), inference(resolution, [status(thm)], [p880, c13])).
% 6.88/3.20 cnf(p932, plain, (convergent_lines(sk2,X0) | distinct_lines(X0,X1) | distinct_lines(sk0,X1) | ~spl6), inference(resolution, [status(thm)], [p912, c13])).
% 6.88/3.20 cnf(p1096, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | convergent_lines(sk2,X1) | distinct_lines(X1,X0) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p127, p932])).
% 6.88/3.20 cnf(ssp99, plain, (~spl1 | ~spl6 | spl7 | spl9 | spl50), inference(avatar_split_clause, [status(thm)], [p1096, sdef7, sdef9, sdef50])).
% 6.88/3.20 cnf(p125, plain, distinct_lines(X0,sk2) | distinct_lines(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p61, c4])).
% 6.88/3.20 cnf(p1097, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | distinct_lines(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p127, p125])).
% 6.88/3.20 fof(sdef57, definition, (spl57 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X1,X2))), introduced(definition, [new_symbols(naming, [spl57])], [avatar_definition])).
% 6.88/3.20 cnf(ssp100, plain, (~spl1 | spl12 | spl13 | spl57), inference(avatar_split_clause, [status(thm)], [p1097, sdef12, sdef13, sdef57])).
% 6.88/3.20 cnf(p1099, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk2) | distinct_lines(sk0,X2) | distinct_lines(X1,X2) | ~spl1), inference(resolution, [status(thm)], [p127, p125])).
% 6.88/3.20 cnf(ssp101, plain, (~spl1 | spl17 | spl22), inference(avatar_split_clause, [status(thm)], [p1099, sdef17, sdef22])).
% 6.88/3.20 cnf(p1100, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X2) | distinct_lines(X2,X0) | ~spl1), inference(resolution, [status(thm)], [p127, p125])).
% 6.88/3.20 fof(sdef58, definition, (spl58 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl58])], [avatar_definition])).
% 6.88/3.20 cnf(ssp102, plain, (~spl1 | spl7 | spl9 | spl58), inference(avatar_split_clause, [status(thm)], [p1100, sdef7, sdef9, sdef58])).
% 6.88/3.20 cnf(p1102, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X0) | distinct_lines(sk0,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p125])).
% 6.88/3.20 cnf(ssp103, plain, (~spl1 | spl11 | spl23), inference(avatar_split_clause, [status(thm)], [p1102, sdef11, sdef23])).
% 6.88/3.20 cnf(p945, plain, distinct_lines(X0,sk2) | distinct_lines(X0,X1) | distinct_lines(X1,sk0), inference(resolution, [status(thm)], [p125, c1])).
% 6.88/3.20 cnf(p1103, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | distinct_lines(X0,X1) | distinct_lines(X1,sk0) | ~spl1), inference(resolution, [status(thm)], [p127, p945])).
% 6.88/3.20 cnf(ssp104, plain, (~spl1 | spl12 | spl13 | spl56), inference(avatar_split_clause, [status(thm)], [p1103, sdef12, sdef13, sdef56])).
% 6.88/3.20 cnf(p1104, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk2) | distinct_lines(X1,sk0) | ~spl1), inference(resolution, [status(thm)], [p127, p945])).
% 6.88/3.20 cnf(ssp105, plain, (~spl1 | spl17 | spl21), inference(avatar_split_clause, [status(thm)], [p1104, sdef17, sdef21])).
% 6.88/3.20 cnf(p126, plain, distinct_lines(X0,sk2) | distinct_lines(sk0,X1) | distinct_lines(X0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p61, c4])).
% 6.88/3.20 cnf(p1105, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X2) | distinct_lines(X0,X2) | ~spl1), inference(resolution, [status(thm)], [p127, p126])).
% 6.88/3.20 fof(sdef59, definition, (spl59 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | distinct_lines(X1,sk2) | distinct_lines(X1,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl59])], [avatar_definition])).
% 6.88/3.20 cnf(ssp106, plain, (~spl1 | spl7 | spl9 | spl59), inference(avatar_split_clause, [status(thm)], [p1105, sdef7, sdef9, sdef59])).
% 6.88/3.20 cnf(p1107, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | distinct_lines(X0,sk2) | distinct_lines(sk0,X2) | distinct_lines(X2,X1) | ~spl1), inference(resolution, [status(thm)], [p127, p126])).
% 6.88/3.20 cnf(ssp107, plain, (~spl1 | spl15 | spl17), inference(avatar_split_clause, [status(thm)], [p1107, sdef15, sdef17])).
% 6.88/3.20 cnf(p93, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(X1,X2)) | convergent_lines(sk0,X1) | convergent_lines(sk1,X2), inference(resolution, [status(thm)], [c8, p39])).
% 6.88/3.20 cnf(p1128, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)) | convergent_lines(sk0,sk0) | convergent_lines(sk1,X0) | ~spl7), inference(resolution, [status(thm)], [p953, p93])).
% 6.88/3.20 fof(sdef60, definition, (spl60 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,X0)) | convergent_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl60])], [avatar_definition])).
% 6.88/3.20 cnf(ssp108, plain, (~spl7 | spl60 | spl61), inference(avatar_split_clause, [status(thm)], [p1128, sdef60, sdef61])).
% 6.88/3.20 cnf(p1168, plain, (distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,X0)) | convergent_lines(sk0,sk0) | convergent_lines(sk1,X0) | ~spl9), inference(resolution, [status(thm)], [p955, p93])).
% 6.88/3.20 fof(sdef62, definition, (spl62 <=> (distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,X0)) | convergent_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl62])], [avatar_definition])).
% 6.88/3.20 cnf(ssp109, plain, (~spl9 | spl61 | spl62), inference(avatar_split_clause, [status(thm)], [p1168, sdef61, sdef62])).
% 6.88/3.20 fof(f3, axiom, ! [X,Y,Z] : ( distinct_points(X,Y) => ( distinct_points(X,Z) | distinct_points(Y,Z) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', apart4)).
% 6.88/3.20 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])).
% 6.88/3.20 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])).
% 6.88/3.20 cnf(c3, plain, ~distinct_points(X0,X1) | distinct_points(X0,X2) | distinct_points(X1,X2), inference(cnf_transformation, [status(esa)], [f3_sk])).
% 6.88/3.20 cnf(p20, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk2),X0) | ~spl1), inference(resolution, [status(thm)], [c3, p18])).
% 6.88/3.20 cnf(p128, plain, (~distinct_lines(X0,X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(intersection_point(sk0,sk1),X2) | ~spl1), inference(resolution, [status(thm)], [c10, p20])).
% 6.88/3.20 cnf(p1173, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk1),X0) | ~spl1), inference(resolution, [status(thm)], [p128, p19])).
% 6.88/3.20 fof(sdef63, definition, (spl63 <=> (apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl63])], [avatar_definition])).
% 6.88/3.20 cnf(ssp110, plain, (~spl1 | spl9 | spl10 | spl63), inference(avatar_split_clause, [status(thm)], [p1173, sdef9, sdef10, sdef63])).
% 6.88/3.20 cnf(p1175, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p30])).
% 6.88/3.20 fof(sdef64, definition, (spl64 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl64])], [avatar_definition])).
% 6.88/3.20 cnf(ssp111, plain, (~spl1 | spl10 | spl64), inference(avatar_split_clause, [status(thm)], [p1175, sdef10, sdef64])).
% 6.88/3.20 cnf(p1177, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | distinct_points(intersection_point(sk0,sk1),X0) | ~spl1), inference(resolution, [status(thm)], [p128, p31])).
% 6.88/3.20 fof(sdef65, definition, (spl65 <=> (apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | distinct_points(intersection_point(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl65])], [avatar_definition])).
% 6.88/3.20 cnf(ssp112, plain, (~spl1 | spl9 | spl13 | spl65), inference(avatar_split_clause, [status(thm)], [p1177, sdef9, sdef13, sdef65])).
% 6.88/3.20 cnf(p1179, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p33])).
% 6.88/3.20 fof(sdef66, definition, (spl66 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl66])], [avatar_definition])).
% 6.88/3.20 cnf(ssp113, plain, (~spl1 | spl13 | spl66), inference(avatar_split_clause, [status(thm)], [p1179, sdef13, sdef66])).
% 6.88/3.20 cnf(p1181, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X2) | distinct_lines(X0,X2) | ~spl1), inference(resolution, [status(thm)], [p128, p32])).
% 6.88/3.20 fof(sdef67, definition, (spl67 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl67])], [avatar_definition])).
% 6.88/3.20 cnf(ssp114, plain, (~spl1 | spl9 | spl67), inference(avatar_split_clause, [status(thm)], [p1181, sdef9, sdef67])).
% 6.88/3.20 cnf(p1183, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p32])).
% 6.88/3.20 fof(sdef68, definition, (spl68 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl68])], [avatar_definition])).
% 6.88/3.20 cnf(ssp115, plain, (~spl1 | spl10 | spl68), inference(avatar_split_clause, [status(thm)], [p1183, sdef10, sdef68])).
% 6.88/3.20 cnf(p1186, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk2) | ~spl1), inference(resolution, [status(thm)], [p128, p56])).
% 6.88/3.20 fof(sdef69, definition, (spl69 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl69])], [avatar_definition])).
% 6.88/3.20 cnf(ssp116, plain, (~spl1 | spl9 | spl69), inference(avatar_split_clause, [status(thm)], [p1186, sdef9, sdef69])).
% 6.88/3.20 cnf(p1188, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk1) | ~spl1), inference(resolution, [status(thm)], [p128, p57])).
% 6.88/3.20 fof(sdef70, definition, (spl70 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl70])], [avatar_definition])).
% 6.88/3.20 cnf(ssp117, plain, (~spl1 | spl9 | spl70), inference(avatar_split_clause, [status(thm)], [p1188, sdef9, sdef70])).
% 6.88/3.20 cnf(p1190, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X2) | distinct_lines(X0,X2) | ~spl1), inference(resolution, [status(thm)], [p128, p34])).
% 6.88/3.20 fof(sdef71, definition, (spl71 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl71])], [avatar_definition])).
% 6.88/3.20 cnf(ssp118, plain, (~spl1 | spl9 | spl71), inference(avatar_split_clause, [status(thm)], [p1190, sdef9, sdef71])).
% 6.88/3.20 cnf(p1192, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p34])).
% 6.88/3.20 fof(sdef72, definition, (spl72 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl72])], [avatar_definition])).
% 6.88/3.20 cnf(ssp119, plain, (~spl1 | spl13 | spl72), inference(avatar_split_clause, [status(thm)], [p1192, sdef13, sdef72])).
% 6.88/3.20 cnf(p1195, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk0) | ~spl1), inference(resolution, [status(thm)], [p128, p106])).
% 6.88/3.20 fof(sdef73, definition, (spl73 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk0))), introduced(definition, [new_symbols(naming, [spl73])], [avatar_definition])).
% 6.88/3.20 cnf(ssp120, plain, (~spl1 | spl10 | spl73), inference(avatar_split_clause, [status(thm)], [p1195, sdef10, sdef73])).
% 6.88/3.20 cnf(p1197, plain, (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p106])).
% 6.88/3.20 fof(sdef74, definition, (spl74 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl74])], [avatar_definition])).
% 6.88/3.20 cnf(ssp121, plain, (~spl1 | spl9 | spl74), inference(avatar_split_clause, [status(thm)], [p1197, sdef9, sdef74])).
% 6.88/3.20 cnf(p1199, plain, (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X0,X2) | ~spl1), inference(resolution, [status(thm)], [p128, p61])).
% 6.88/3.20 fof(sdef75, definition, (spl75 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl75])], [avatar_definition])).
% 6.88/3.20 cnf(ssp122, plain, (~spl1 | spl13 | spl75), inference(avatar_split_clause, [status(thm)], [p1199, sdef13, sdef75])).
% 6.88/3.20 cnf(p1201, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p61])).
% 6.88/3.20 fof(sdef76, definition, (spl76 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl76])], [avatar_definition])).
% 6.88/3.20 cnf(ssp123, plain, (~spl1 | spl9 | spl76), inference(avatar_split_clause, [status(thm)], [p1201, sdef9, sdef76])).
% 6.88/3.20 cnf(p1204, plain, (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk0) | ~spl1), inference(resolution, [status(thm)], [p128, p124])).
% 6.88/3.20 fof(sdef77, definition, (spl77 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,sk0))), introduced(definition, [new_symbols(naming, [spl77])], [avatar_definition])).
% 6.88/3.20 cnf(ssp124, plain, (~spl1 | spl13 | spl77), inference(avatar_split_clause, [status(thm)], [p1204, sdef13, sdef77])).
% 6.88/3.20 cnf(p1206, plain, (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X0,X2) | ~spl1), inference(resolution, [status(thm)], [p128, p62])).
% 6.88/3.20 fof(sdef78, definition, (spl78 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl78])], [avatar_definition])).
% 6.88/3.20 cnf(ssp125, plain, (~spl1 | spl10 | spl78), inference(avatar_split_clause, [status(thm)], [p1206, sdef10, sdef78])).
% 6.88/3.20 cnf(p1208, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk1) | distinct_lines(X2,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p62])).
% 6.88/3.20 fof(sdef79, definition, (spl79 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk1) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl79])], [avatar_definition])).
% 6.88/3.20 cnf(ssp126, plain, (~spl1 | spl9 | spl79), inference(avatar_split_clause, [status(thm)], [p1208, sdef9, sdef79])).
% 6.88/3.20 cnf(p1212, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk0,X2) | distinct_lines(X0,X2) | ~spl1), inference(resolution, [status(thm)], [p128, p101])).
% 6.88/3.20 fof(sdef80, definition, (spl80 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk0,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl80])], [avatar_definition])).
% 6.88/3.20 cnf(ssp127, plain, (~spl1 | spl10 | spl80), inference(avatar_split_clause, [status(thm)], [p1212, sdef10, sdef80])).
% 6.88/3.20 cnf(p1215, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk0) | distinct_lines(X2,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p122])).
% 6.88/3.20 fof(sdef81, definition, (spl81 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk0) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl81])], [avatar_definition])).
% 6.88/3.20 cnf(ssp128, plain, (~spl1 | spl10 | spl81), inference(avatar_split_clause, [status(thm)], [p1215, sdef10, sdef81])).
% 6.88/3.20 cnf(p1218, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X2) | distinct_lines(X2,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p123])).
% 6.88/3.20 fof(sdef82, definition, (spl82 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl82])], [avatar_definition])).
% 6.88/3.20 cnf(ssp129, plain, (~spl1 | spl9 | spl82), inference(avatar_split_clause, [status(thm)], [p1218, sdef9, sdef82])).
% 6.88/3.20 cnf(p1221, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk0) | distinct_lines(X2,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p137])).
% 6.88/3.20 fof(sdef83, definition, (spl83 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk0) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl83])], [avatar_definition])).
% 6.88/3.20 cnf(ssp130, plain, (~spl1 | spl13 | spl83), inference(avatar_split_clause, [status(thm)], [p1221, sdef13, sdef83])).
% 6.88/3.20 cnf(p1223, plain, (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p277])).
% 6.88/3.20 fof(sdef84, definition, (spl84 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl84])], [avatar_definition])).
% 6.88/3.20 cnf(ssp131, plain, (~spl1 | spl9 | spl84), inference(avatar_split_clause, [status(thm)], [p1223, sdef9, sdef84])).
% 6.88/3.20 cnf(p1225, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk1,X2) | distinct_lines(X0,X2) | ~spl1), inference(resolution, [status(thm)], [p128, p143])).
% 6.88/3.20 fof(sdef85, definition, (spl85 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk1,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl85])], [avatar_definition])).
% 6.88/3.20 cnf(ssp132, plain, (~spl1 | spl9 | spl85), inference(avatar_split_clause, [status(thm)], [p1225, sdef9, sdef85])).
% 6.88/3.20 cnf(p1228, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk0,X2) | distinct_lines(X2,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p152])).
% 6.88/3.20 fof(sdef86, definition, (spl86 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk0,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl86])], [avatar_definition])).
% 6.88/3.20 cnf(ssp133, plain, (~spl1 | spl10 | spl86), inference(avatar_split_clause, [status(thm)], [p1228, sdef10, sdef86])).
% 6.88/3.20 cnf(p1232, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p280])).
% 6.88/3.20 fof(sdef87, definition, (spl87 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl87])], [avatar_definition])).
% 6.88/3.20 cnf(ssp134, plain, (~spl1 | spl9 | spl87), inference(avatar_split_clause, [status(thm)], [p1232, sdef9, sdef87])).
% 6.88/3.20 cnf(p1234, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk1) | distinct_lines(X2,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p307])).
% 6.88/3.20 fof(sdef88, definition, (spl88 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk1) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl88])], [avatar_definition])).
% 6.88/3.20 cnf(ssp135, plain, (~spl1 | spl9 | spl88), inference(avatar_split_clause, [status(thm)], [p1234, sdef9, sdef88])).
% 6.88/3.20 cnf(p1238, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk0,X2) | distinct_lines(X0,X2) | ~spl1), inference(resolution, [status(thm)], [p128, p367])).
% 6.88/3.20 fof(sdef89, definition, (spl89 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk0,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl89])], [avatar_definition])).
% 6.88/3.20 cnf(ssp136, plain, (~spl1 | spl13 | spl89), inference(avatar_split_clause, [status(thm)], [p1238, sdef13, sdef89])).
% 6.88/3.20 cnf(p1245, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk0) | distinct_lines(X2,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p427])).
% 6.88/3.20 fof(sdef90, definition, (spl90 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk0) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl90])], [avatar_definition])).
% 6.88/3.20 cnf(ssp137, plain, (~spl1 | spl10 | spl90), inference(avatar_split_clause, [status(thm)], [p1245, sdef10, sdef90])).
% 6.88/3.20 cnf(p1247, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk2,X2) | distinct_lines(X0,X2) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p128, p459])).
% 6.88/3.20 fof(sdef91, definition, (spl91 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk2,X2) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl91])], [avatar_definition])).
% 6.88/3.20 cnf(ssp138, plain, (~spl1 | ~spl3 | spl9 | spl91), inference(avatar_split_clause, [status(thm)], [p1247, sdef9, sdef91])).
% 6.88/3.20 cnf(p1250, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk0,X2) | distinct_lines(X2,X0) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p128, p468])).
% 6.88/3.20 fof(sdef92, definition, (spl92 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk0,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl92])], [avatar_definition])).
% 6.88/3.20 cnf(ssp139, plain, (~spl1 | ~spl3 | spl13 | spl92), inference(avatar_split_clause, [status(thm)], [p1250, sdef13, sdef92])).
% 6.88/3.20 cnf(p1253, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk1,X2) | distinct_lines(X2,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p520])).
% 6.88/3.20 fof(sdef93, definition, (spl93 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk1,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl93])], [avatar_definition])).
% 6.88/3.20 cnf(ssp140, plain, (~spl1 | spl9 | spl93), inference(avatar_split_clause, [status(thm)], [p1253, sdef9, sdef93])).
% 6.88/3.20 cnf(p1255, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk2) | distinct_lines(X2,X0) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p128, p541])).
% 6.88/3.20 fof(sdef94, definition, (spl94 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl94])], [avatar_definition])).
% 6.88/3.20 cnf(ssp141, plain, (~spl1 | ~spl3 | spl9 | spl94), inference(avatar_split_clause, [status(thm)], [p1255, sdef9, sdef94])).
% 6.88/3.20 cnf(p1258, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,X0) | distinct_lines(sk0,X3) | distinct_lines(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p128, p58])).
% 6.88/3.20 fof(sdef95, definition, (spl95 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,X0) | distinct_lines(sk0,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl95])], [avatar_definition])).
% 6.88/3.20 cnf(ssp142, plain, (~spl1 | spl10 | spl95), inference(avatar_split_clause, [status(thm)], [p1258, sdef10, sdef95])).
% 6.88/3.20 cnf(p1261, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p58])).
% 6.88/3.20 fof(sdef96, definition, (spl96 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl96])], [avatar_definition])).
% 6.88/3.20 cnf(ssp143, plain, (~spl1 | spl9 | spl96), inference(avatar_split_clause, [status(thm)], [p1261, sdef9, sdef96])).
% 6.88/3.20 cnf(p1266, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(sk1,X3) | distinct_lines(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p128, p59])).
% 6.88/3.20 fof(sdef97, definition, (spl97 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(sk1,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl97])], [avatar_definition])).
% 6.88/3.20 cnf(ssp144, plain, (~spl1 | spl9 | spl97), inference(avatar_split_clause, [status(thm)], [p1266, sdef9, sdef97])).
% 6.88/3.20 cnf(p1268, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p59])).
% 6.88/3.20 fof(sdef98, definition, (spl98 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl98])], [avatar_definition])).
% 6.88/3.20 cnf(ssp145, plain, (~spl1 | spl10 | spl98), inference(avatar_split_clause, [status(thm)], [p1268, sdef10, sdef98])).
% 6.88/3.20 cnf(p1272, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk0) | distinct_lines(X2,X0) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p128, p598])).
% 6.88/3.20 fof(sdef99, definition, (spl99 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk0) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl99])], [avatar_definition])).
% 6.88/3.20 cnf(ssp146, plain, (~spl1 | ~spl3 | spl13 | spl99), inference(avatar_split_clause, [status(thm)], [p1272, sdef13, sdef99])).
% 6.88/3.20 cnf(p1274, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p128, p60])).
% 6.88/3.20 fof(sdef100, definition, (spl100 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk1,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl100])], [avatar_definition])).
% 6.88/3.20 cnf(ssp147, plain, (~spl1 | spl9 | spl100), inference(avatar_split_clause, [status(thm)], [p1274, sdef9, sdef100])).
% 6.88/3.20 cnf(p1276, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X3) | distinct_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p128, p60])).
% 6.88/3.20 fof(sdef101, definition, (spl101 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl101])], [avatar_definition])).
% 6.88/3.20 cnf(ssp148, plain, (~spl1 | spl10 | spl101), inference(avatar_split_clause, [status(thm)], [p1276, sdef10, sdef101])).
% 6.88/3.20 cnf(p1279, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk2) | ~spl1), inference(resolution, [status(thm)], [p128, p623])).
% 6.88/3.20 fof(sdef102, definition, (spl102 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk2))), introduced(definition, [new_symbols(naming, [spl102])], [avatar_definition])).
% 6.88/3.20 cnf(ssp149, plain, (~spl1 | spl9 | spl102), inference(avatar_split_clause, [status(thm)], [p1279, sdef9, sdef102])).
% 6.88/3.20 cnf(p1281, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk1) | ~spl1), inference(resolution, [status(thm)], [p128, p624])).
% 6.88/3.20 fof(sdef103, definition, (spl103 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk1))), introduced(definition, [new_symbols(naming, [spl103])], [avatar_definition])).
% 6.88/3.20 cnf(ssp150, plain, (~spl1 | spl9 | spl103), inference(avatar_split_clause, [status(thm)], [p1281, sdef9, sdef103])).
% 6.88/3.20 cnf(p1283, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk2,X2) | distinct_lines(X2,X0) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p128, p634])).
% 6.88/3.20 fof(sdef104, definition, (spl104 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk2,X2) | distinct_lines(X2,X0))), introduced(definition, [new_symbols(naming, [spl104])], [avatar_definition])).
% 6.88/3.20 cnf(ssp151, plain, (~spl1 | ~spl3 | spl9 | spl104), inference(avatar_split_clause, [status(thm)], [p1283, sdef9, sdef104])).
% 6.88/3.20 cnf(p1285, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,X0) | distinct_lines(sk0,X3) | distinct_lines(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p128, p75])).
% 6.88/3.20 fof(sdef105, definition, (spl105 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,X0) | distinct_lines(sk0,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl105])], [avatar_definition])).
% 6.88/3.20 cnf(ssp152, plain, (~spl1 | spl13 | spl105), inference(avatar_split_clause, [status(thm)], [p1285, sdef13, sdef105])).
% 6.88/3.20 cnf(p1288, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p75])).
% 6.88/3.20 fof(sdef106, definition, (spl106 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X2) | distinct_lines(X3,X2) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl106])], [avatar_definition])).
% 6.88/3.20 cnf(ssp153, plain, (~spl1 | spl9 | spl106), inference(avatar_split_clause, [status(thm)], [p1288, sdef9, sdef106])).
% 6.88/3.20 cnf(p1291, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(sk2,X3) | distinct_lines(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p128, p76])).
% 6.88/3.20 fof(sdef107, definition, (spl107 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(sk2,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl107])], [avatar_definition])).
% 6.88/3.20 cnf(ssp154, plain, (~spl1 | spl9 | spl107), inference(avatar_split_clause, [status(thm)], [p1291, sdef9, sdef107])).
% 6.88/3.20 cnf(p1293, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p76])).
% 6.88/3.20 fof(sdef108, definition, (spl108 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl108])], [avatar_definition])).
% 6.88/3.20 cnf(ssp155, plain, (~spl1 | spl13 | spl108), inference(avatar_split_clause, [status(thm)], [p1293, sdef13, sdef108])).
% 6.88/3.20 cnf(p1296, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p128, p77])).
% 6.88/3.20 fof(sdef109, definition, (spl109 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk2,X2) | distinct_lines(X0,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl109])], [avatar_definition])).
% 6.88/3.20 cnf(ssp156, plain, (~spl1 | spl9 | spl109), inference(avatar_split_clause, [status(thm)], [p1296, sdef9, sdef109])).
% 6.88/3.20 cnf(p1298, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X3) | distinct_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p128, p77])).
% 6.88/3.20 fof(sdef110, definition, (spl110 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(sk0,X2) | distinct_lines(X2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl110])], [avatar_definition])).
% 6.88/3.20 cnf(ssp157, plain, (~spl1 | spl13 | spl110), inference(avatar_split_clause, [status(thm)], [p1298, sdef13, sdef110])).
% 6.88/3.20 cnf(p1301, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk1) | distinct_lines(X0,X2) | ~spl1), inference(resolution, [status(thm)], [p128, p699])).
% 6.88/3.20 fof(sdef111, definition, (spl111 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk1) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl111])], [avatar_definition])).
% 6.88/3.20 cnf(ssp158, plain, (~spl1 | spl9 | spl111), inference(avatar_split_clause, [status(thm)], [p1301, sdef9, sdef111])).
% 6.88/3.20 cnf(p1303, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk0) | distinct_lines(X0,X2) | ~spl1), inference(resolution, [status(thm)], [p128, p747])).
% 6.88/3.20 fof(sdef112, definition, (spl112 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk0) | distinct_lines(X0,X2))), introduced(definition, [new_symbols(naming, [spl112])], [avatar_definition])).
% 6.88/3.20 cnf(ssp159, plain, (~spl1 | spl10 | spl112), inference(avatar_split_clause, [status(thm)], [p1303, sdef10, sdef112])).
% 6.88/3.20 cnf(p1305, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk0) | ~spl1), inference(resolution, [status(thm)], [p128, p755])).
% 6.88/3.20 fof(sdef113, definition, (spl113 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk0))), introduced(definition, [new_symbols(naming, [spl113])], [avatar_definition])).
% 6.88/3.20 cnf(ssp160, plain, (~spl1 | spl10 | spl113), inference(avatar_split_clause, [status(thm)], [p1305, sdef10, sdef113])).
% 6.88/3.20 cnf(p1308, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk2,X2) | distinct_lines(X0,X2) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p128, p803])).
% 6.88/3.20 cnf(ssp161, plain, (~spl1 | ~spl6 | spl9 | spl91), inference(avatar_split_clause, [status(thm)], [p1308, sdef9, sdef91])).
% 6.88/3.20 cnf(p1310, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk0,X2) | distinct_lines(X2,X0) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p128, p812])).
% 6.88/3.20 cnf(ssp162, plain, (~spl1 | ~spl6 | spl13 | spl92), inference(avatar_split_clause, [status(thm)], [p1310, sdef13, sdef92])).
% 6.88/3.20 cnf(p1312, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk2) | distinct_lines(X2,X0) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p128, p850])).
% 6.88/3.20 cnf(ssp163, plain, (~spl1 | ~spl6 | spl9 | spl94), inference(avatar_split_clause, [status(thm)], [p1312, sdef9, sdef94])).
% 6.88/3.20 cnf(p1317, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(X2,sk0) | distinct_lines(X2,X0) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p128, p900])).
% 6.88/3.20 cnf(ssp164, plain, (~spl1 | ~spl6 | spl13 | spl99), inference(avatar_split_clause, [status(thm)], [p1317, sdef13, sdef99])).
% 6.88/3.20 cnf(p1318, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | convergent_lines(sk2,X2) | distinct_lines(X2,X0) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p128, p932])).
% 6.88/3.20 cnf(ssp165, plain, (~spl1 | ~spl6 | spl9 | spl104), inference(avatar_split_clause, [status(thm)], [p1318, sdef9, sdef104])).
% 6.88/3.20 cnf(p1319, plain, (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(sk0,X3) | distinct_lines(X2,X3) | ~spl1), inference(resolution, [status(thm)], [p128, p125])).
% 6.88/3.20 fof(sdef114, definition, (spl114 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(sk0,X3) | distinct_lines(X2,X3))), introduced(definition, [new_symbols(naming, [spl114])], [avatar_definition])).
% 6.88/3.20 cnf(ssp166, plain, (~spl1 | spl13 | spl114), inference(avatar_split_clause, [status(thm)], [p1319, sdef13, sdef114])).
% 6.88/3.20 cnf(p1322, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X3) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p128, p125])).
% 6.88/3.20 fof(sdef115, definition, (spl115 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl115])], [avatar_definition])).
% 6.88/3.20 cnf(ssp167, plain, (~spl1 | spl9 | spl115), inference(avatar_split_clause, [status(thm)], [p1322, sdef9, sdef115])).
% 6.88/3.20 cnf(p1325, plain, (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk0) | ~spl1), inference(resolution, [status(thm)], [p128, p945])).
% 6.88/3.20 fof(sdef116, definition, (spl116 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X0,X2) | distinct_lines(X2,sk0))), introduced(definition, [new_symbols(naming, [spl116])], [avatar_definition])).
% 6.88/3.20 cnf(ssp168, plain, (~spl1 | spl13 | spl116), inference(avatar_split_clause, [status(thm)], [p1325, sdef13, sdef116])).
% 6.88/3.20 cnf(p1328, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X3) | distinct_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p128, p126])).
% 6.88/3.20 fof(sdef117, definition, (spl117 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_lines(X2,sk2) | distinct_lines(X2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl117])], [avatar_definition])).
% 6.88/3.20 cnf(ssp169, plain, (~spl1 | spl9 | spl117), inference(avatar_split_clause, [status(thm)], [p1328, sdef9, sdef117])).
% 6.88/3.20 cnf(p960, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | ~spl12), inference(avatar_component_clause, [status(thm)], [sdef12])).
% 6.88/3.20 cnf(p95, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(X1,sk1)) | convergent_lines(sk0,X1), inference(resolution, [status(thm)], [c8, p78])).
% 6.88/3.20 cnf(p1348, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk1)) | convergent_lines(sk0,sk2) | ~spl12), inference(resolution, [status(thm)], [p960, p95])).
% 6.88/3.20 fof(sdef118, definition, (spl118 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk1)))), introduced(definition, [new_symbols(naming, [spl118])], [avatar_definition])).
% 6.88/3.20 cnf(ssp170, plain, (~spl12 | spl3 | spl118), inference(avatar_split_clause, [status(thm)], [p1348, sdef3, sdef118])).
% 6.88/3.20 cnf(p107, plain, distinct_lines(sk1,X0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(X0,sk0)), inference(resolution, [status(thm)], [p99, c8])).
% 6.88/3.20 cnf(p1350, plain, (distinct_lines(sk1,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk0)) | ~spl12), inference(resolution, [status(thm)], [p960, p107])).
% 6.88/3.20 fof(sdef120, definition, (spl120 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk0)))), introduced(definition, [new_symbols(naming, [spl120])], [avatar_definition])).
% 6.88/3.20 cnf(ssp171, plain, (~spl12 | spl119 | spl120), inference(avatar_split_clause, [status(thm)], [p1350, sdef119, sdef120])).
% 6.88/3.20 cnf(p109, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(sk1,X1)) | convergent_lines(sk0,X1), inference(resolution, [status(thm)], [c9, p37])).
% 6.88/3.20 cnf(p1353, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk2)) | convergent_lines(sk0,sk2) | ~spl12), inference(resolution, [status(thm)], [p960, p109])).
% 6.88/3.20 fof(sdef121, definition, (spl121 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk2)))), introduced(definition, [new_symbols(naming, [spl121])], [avatar_definition])).
% 6.88/3.20 cnf(ssp172, plain, (~spl12 | spl3 | spl121), inference(avatar_split_clause, [status(thm)], [p1353, sdef3, sdef121])).
% 6.88/3.20 cnf(p110, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(sk0,X1)) | distinct_lines(sk1,X1), inference(resolution, [status(thm)], [c9, p38])).
% 6.88/3.20 cnf(p1355, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | distinct_lines(sk1,sk2) | ~spl12), inference(resolution, [status(thm)], [p960, p110])).
% 6.88/3.20 cnf(ssp173, plain, (~spl12 | spl1 | spl119), inference(avatar_split_clause, [status(thm)], [p1355, sdef1, sdef119])).
% 6.88/3.20 cnf(p114, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(sk0,X1)) | convergent_lines(X1,sk1), inference(resolution, [status(thm)], [c9, p78])).
% 6.88/3.20 cnf(p1356, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | convergent_lines(sk2,sk1) | ~spl12), inference(resolution, [status(thm)], [p960, p114])).
% 6.88/3.20 cnf(ssp174, plain, (~spl12 | spl1 | spl122), inference(avatar_split_clause, [status(thm)], [p1356, sdef1, sdef122])).
% 6.88/3.20 cnf(p117, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(sk0,X1)) | distinct_lines(X1,sk1), inference(resolution, [status(thm)], [c9, p86])).
% 6.88/3.20 cnf(p1358, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | distinct_lines(sk2,sk1) | ~spl12), inference(resolution, [status(thm)], [p960, p117])).
% 6.88/3.20 cnf(ssp175, plain, (~spl12 | spl1 | spl123), inference(avatar_split_clause, [status(thm)], [p1358, sdef1, sdef123])).
% 6.88/3.20 cnf(p179, plain, convergent_lines(X0,sk0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(X0,sk1)), inference(resolution, [status(thm)], [p165, c8])).
% 6.88/3.20 cnf(p1360, plain, (convergent_lines(sk2,sk0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk1)) | ~spl12), inference(resolution, [status(thm)], [p960, p179])).
% 6.88/3.20 cnf(ssp176, plain, (~spl12 | spl6 | spl118), inference(avatar_split_clause, [status(thm)], [p1360, sdef6, sdef118])).
% 6.88/3.20 cnf(p177, plain, convergent_lines(X0,sk0) | distinct_lines(X0,sk1), inference(resolution, [status(thm)], [p165, c13])).
% 6.88/3.20 cnf(p183, plain, distinct_lines(X0,sk1) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(X0,sk0)), inference(resolution, [status(thm)], [p177, c8])).
% 6.88/3.20 cnf(p1361, plain, (distinct_lines(sk2,sk1) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk0)) | ~spl12), inference(resolution, [status(thm)], [p960, p183])).
% 6.88/3.20 cnf(ssp177, plain, (~spl12 | spl120 | spl123), inference(avatar_split_clause, [status(thm)], [p1361, sdef120, sdef123])).
% 6.88/3.20 cnf(p242, plain, distinct_lines(sk2,X0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(sk0,X0)), inference(resolution, [status(thm)], [p213, c9])).
% 6.88/3.20 cnf(p1362, plain, (distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | ~spl12), inference(resolution, [status(thm)], [p960, p242])).
% 6.88/3.20 cnf(ssp178, plain, (~spl12 | spl1 | spl124), inference(avatar_split_clause, [status(thm)], [p1362, sdef1, sdef124])).
% 6.88/3.20 cnf(p352, plain, convergent_lines(sk1,X0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(X0,sk0)), inference(resolution, [status(thm)], [p339, c8])).
% 6.88/3.20 cnf(p1365, plain, (convergent_lines(sk1,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk0)) | ~spl12), inference(resolution, [status(thm)], [p960, p352])).
% 6.88/3.20 cnf(ssp179, plain, (~spl12 | spl120 | spl125), inference(avatar_split_clause, [status(thm)], [p1365, sdef120, sdef125])).
% 6.88/3.20 cnf(p355, plain, convergent_lines(X0,sk0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(sk1,X0)), inference(resolution, [status(thm)], [p339, c9])).
% 6.88/3.20 cnf(p1367, plain, (convergent_lines(sk2,sk0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk2)) | ~spl12), inference(resolution, [status(thm)], [p960, p355])).
% 6.88/3.20 cnf(ssp180, plain, (~spl12 | spl6 | spl121), inference(avatar_split_clause, [status(thm)], [p1367, sdef6, sdef121])).
% 6.88/3.20 cnf(p365, plain, distinct_lines(sk2,X0) | convergent_lines(X0,sk0), inference(resolution, [status(thm)], [p240, c2])).
% 6.88/3.20 cnf(p374, plain, distinct_lines(sk2,X0) | ~apart_point_and_line(X1,X0) | distinct_points(X1,intersection_point(X0,sk0)), inference(resolution, [status(thm)], [p365, c8])).
% 6.88/3.20 cnf(p1368, plain, (distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,sk0)) | ~spl12), inference(resolution, [status(thm)], [p960, p374])).
% 6.88/3.20 cnf(ssp181, plain, (~spl12 | spl120 | spl124), inference(avatar_split_clause, [status(thm)], [p1368, sdef120, sdef124])).
% 6.88/3.20 cnf(p1377, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)) | convergent_lines(sk0,sk2) | convergent_lines(sk1,X0) | ~spl12), inference(resolution, [status(thm)], [p960, p93])).
% 6.88/3.20 fof(sdef126, definition, (spl126 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)) | convergent_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl126])], [avatar_definition])).
% 6.88/3.20 cnf(ssp182, plain, (~spl12 | spl3 | spl126), inference(avatar_split_clause, [status(thm)], [p1377, sdef3, sdef126])).
% 6.88/3.20 cnf(p105, plain, distinct_lines(sk1,X0) | convergent_lines(sk0,X1) | ~apart_point_and_line(X2,X0) | distinct_points(X2,intersection_point(X0,X1)), inference(resolution, [status(thm)], [p42, c8])).
% 6.88/3.20 cnf(p1380, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)) | ~spl12), inference(resolution, [status(thm)], [p960, p105])).
% 6.88/3.20 fof(sdef127, definition, (spl127 <=> (convergent_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk1),intersection_point(sk2,X0)))), introduced(definition, [new_symbols(naming, [spl127])], [avatar_definition])).
% 6.88/3.20 cnf(ssp183, plain, (~spl12 | spl119 | spl127), inference(avatar_split_clause, [status(thm)], [p1380, sdef119, sdef127])).
% 6.88/3.20 cnf(p111, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(sk0,X1)) | convergent_lines(sk1,X2) | convergent_lines(X1,X2), inference(resolution, [status(thm)], [c9, p39])).
% 6.88/3.20 cnf(p1382, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | convergent_lines(sk1,X0) | convergent_lines(sk2,X0) | ~spl12), inference(resolution, [status(thm)], [p960, p111])).
% 6.88/3.20 cnf(ssp184, plain, (~spl12 | spl1 | spl128), inference(avatar_split_clause, [status(thm)], [p1382, sdef1, sdef128])).
% 6.88/3.20 cnf(p112, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(sk1,X1)) | convergent_lines(sk0,X2) | convergent_lines(X2,X1), inference(resolution, [status(thm)], [c9, p39])).
% 6.88/3.20 cnf(p1384, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk1,sk2)) | convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | ~spl12), inference(resolution, [status(thm)], [p960, p112])).
% 6.88/3.20 fof(sdef129, definition, (spl129 <=> (convergent_lines(sk0,X0) | convergent_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl129])], [avatar_definition])).
% 6.88/3.20 cnf(ssp185, plain, (~spl12 | spl121 | spl129), inference(avatar_split_clause, [status(thm)], [p1384, sdef121, sdef129])).
% 6.88/3.20 cnf(p113, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(X2,X1)) | convergent_lines(sk0,X2) | convergent_lines(sk1,X1), inference(resolution, [status(thm)], [c9, p39])).
% 6.88/3.20 cnf(p1386, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk2)) | convergent_lines(sk0,X0) | convergent_lines(sk1,sk2) | ~spl12), inference(resolution, [status(thm)], [p960, p113])).
% 6.88/3.20 fof(sdef130, definition, (spl130 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk2)) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl130])], [avatar_definition])).
% 6.88/3.20 cnf(ssp186, plain, (~spl12 | spl125 | spl130), inference(avatar_split_clause, [status(thm)], [p1386, sdef125, sdef130])).
% 6.88/3.20 cnf(p118, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(sk0,X1)) | distinct_lines(sk1,X2) | convergent_lines(X2,X1), inference(resolution, [status(thm)], [c9, p42])).
% 6.88/3.20 cnf(p1388, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(sk0,sk2)) | distinct_lines(sk1,X0) | convergent_lines(X0,sk2) | ~spl12), inference(resolution, [status(thm)], [p960, p118])).
% 6.88/3.20 cnf(ssp187, plain, (~spl12 | spl1 | spl131), inference(avatar_split_clause, [status(thm)], [p1388, sdef1, sdef131])).
% 6.88/3.20 cnf(p119, plain, ~apart_point_and_line(X0,X1) | distinct_points(X0,intersection_point(X2,X1)) | distinct_lines(sk1,X2) | convergent_lines(sk0,X1), inference(resolution, [status(thm)], [c9, p42])).
% 6.88/3.20 cnf(p1390, plain, (distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk2)) | distinct_lines(sk1,X0) | convergent_lines(sk0,sk2) | ~spl12), inference(resolution, [status(thm)], [p960, p119])).
% 6.88/3.20 fof(sdef132, definition, (spl132 <=> (distinct_points(intersection_point(sk0,sk1),intersection_point(X0,sk2)) | distinct_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl132])], [avatar_definition])).
% 6.88/3.20 cnf(ssp188, plain, (~spl12 | spl3 | spl132), inference(avatar_split_clause, [status(thm)], [p1390, sdef3, sdef132])).
% 6.88/3.20 cnf(p21, plain, (distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk2),X1) | distinct_points(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p20, c3])).
% 6.88/3.20 cnf(p129, plain, (~distinct_lines(X0,X1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(intersection_point(sk0,sk2),X3) | distinct_points(X2,X3) | ~spl1), inference(resolution, [status(thm)], [c10, p21])).
% 6.88/3.20 cnf(p1401, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk2),X1) | distinct_points(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p129, p19])).
% 6.88/3.20 fof(sdef133, definition, (spl133 <=> (apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk2),X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl133])], [avatar_definition])).
% 6.88/3.20 cnf(ssp189, plain, (~spl1 | spl7 | spl8 | spl133), inference(avatar_split_clause, [status(thm)], [p1401, sdef7, sdef8, sdef133])).
% 6.88/3.20 cnf(p1403, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p30])).
% 6.88/3.20 fof(sdef134, definition, (spl134 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl134])], [avatar_definition])).
% 6.88/3.20 cnf(ssp190, plain, (~spl1 | spl8 | spl134), inference(avatar_split_clause, [status(thm)], [p1403, sdef8, sdef134])).
% 6.88/3.20 cnf(p1405, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | distinct_points(intersection_point(sk0,sk2),X1) | distinct_points(X0,X1) | ~spl1), inference(resolution, [status(thm)], [p129, p31])).
% 6.88/3.20 fof(sdef135, definition, (spl135 <=> (apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | distinct_points(intersection_point(sk0,sk2),X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl135])], [avatar_definition])).
% 6.88/3.20 cnf(ssp191, plain, (~spl1 | spl7 | spl12 | spl135), inference(avatar_split_clause, [status(thm)], [p1405, sdef7, sdef12, sdef135])).
% 6.88/3.20 cnf(p1407, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p33])).
% 6.88/3.20 fof(sdef136, definition, (spl136 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl136])], [avatar_definition])).
% 6.88/3.20 cnf(ssp192, plain, (~spl1 | spl12 | spl136), inference(avatar_split_clause, [status(thm)], [p1407, sdef12, sdef136])).
% 6.88/3.20 cnf(p1409, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p129, p32])).
% 6.88/3.20 fof(sdef137, definition, (spl137 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl137])], [avatar_definition])).
% 6.88/3.20 cnf(ssp193, plain, (~spl1 | spl7 | spl137), inference(avatar_split_clause, [status(thm)], [p1409, sdef7, sdef137])).
% 6.88/3.20 cnf(p1411, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p32])).
% 6.88/3.20 fof(sdef138, definition, (spl138 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl138])], [avatar_definition])).
% 6.88/3.20 cnf(ssp194, plain, (~spl1 | spl8 | spl138), inference(avatar_split_clause, [status(thm)], [p1411, sdef8, sdef138])).
% 6.88/3.20 cnf(p1414, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,sk2) | ~spl1), inference(resolution, [status(thm)], [p129, p56])).
% 6.88/3.20 fof(sdef139, definition, (spl139 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl139])], [avatar_definition])).
% 6.88/3.20 cnf(ssp195, plain, (~spl1 | spl7 | spl139), inference(avatar_split_clause, [status(thm)], [p1414, sdef7, sdef139])).
% 6.88/3.20 cnf(p1416, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,sk1) | ~spl1), inference(resolution, [status(thm)], [p129, p57])).
% 6.88/3.20 fof(sdef140, definition, (spl140 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl140])], [avatar_definition])).
% 6.88/3.20 cnf(ssp196, plain, (~spl1 | spl7 | spl140), inference(avatar_split_clause, [status(thm)], [p1416, sdef7, sdef140])).
% 6.88/3.20 cnf(p1418, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p129, p34])).
% 6.88/3.20 fof(sdef141, definition, (spl141 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl141])], [avatar_definition])).
% 6.88/3.20 cnf(ssp197, plain, (~spl1 | spl7 | spl141), inference(avatar_split_clause, [status(thm)], [p1418, sdef7, sdef141])).
% 6.88/3.20 cnf(p1420, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p34])).
% 6.88/3.21 fof(sdef142, definition, (spl142 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl142])], [avatar_definition])).
% 6.88/3.21 cnf(ssp198, plain, (~spl1 | spl12 | spl142), inference(avatar_split_clause, [status(thm)], [p1420, sdef12, sdef142])).
% 6.88/3.21 cnf(p1423, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,sk0) | ~spl1), inference(resolution, [status(thm)], [p129, p106])).
% 6.88/3.21 fof(sdef143, definition, (spl143 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,sk0))), introduced(definition, [new_symbols(naming, [spl143])], [avatar_definition])).
% 6.88/3.21 cnf(ssp199, plain, (~spl1 | spl8 | spl143), inference(avatar_split_clause, [status(thm)], [p1423, sdef8, sdef143])).
% 6.88/3.21 cnf(p1425, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk1,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p106])).
% 6.88/3.21 fof(sdef144, definition, (spl144 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl144])], [avatar_definition])).
% 6.88/3.21 cnf(ssp200, plain, (~spl1 | spl7 | spl144), inference(avatar_split_clause, [status(thm)], [p1425, sdef7, sdef144])).
% 6.88/3.21 cnf(p1427, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p129, p61])).
% 6.88/3.21 fof(sdef145, definition, (spl145 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl145])], [avatar_definition])).
% 6.88/3.21 cnf(ssp201, plain, (~spl1 | spl12 | spl145), inference(avatar_split_clause, [status(thm)], [p1427, sdef12, sdef145])).
% 6.88/3.21 cnf(p1429, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk2) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p61])).
% 6.88/3.21 fof(sdef146, definition, (spl146 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk2) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl146])], [avatar_definition])).
% 6.88/3.21 cnf(ssp202, plain, (~spl1 | spl7 | spl146), inference(avatar_split_clause, [status(thm)], [p1429, sdef7, sdef146])).
% 6.88/3.21 cnf(p1432, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,sk0) | ~spl1), inference(resolution, [status(thm)], [p129, p124])).
% 6.88/3.21 fof(sdef147, definition, (spl147 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,sk0))), introduced(definition, [new_symbols(naming, [spl147])], [avatar_definition])).
% 6.88/3.21 cnf(ssp203, plain, (~spl1 | spl12 | spl147), inference(avatar_split_clause, [status(thm)], [p1432, sdef12, sdef147])).
% 6.88/3.21 cnf(p1434, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p129, p62])).
% 6.88/3.21 fof(sdef148, definition, (spl148 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl148])], [avatar_definition])).
% 6.88/3.21 cnf(ssp204, plain, (~spl1 | spl8 | spl148), inference(avatar_split_clause, [status(thm)], [p1434, sdef8, sdef148])).
% 6.88/3.21 cnf(p1436, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk1) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p62])).
% 6.88/3.21 fof(sdef149, definition, (spl149 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk1) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl149])], [avatar_definition])).
% 6.88/3.21 cnf(ssp205, plain, (~spl1 | spl7 | spl149), inference(avatar_split_clause, [status(thm)], [p1436, sdef7, sdef149])).
% 6.88/3.21 cnf(p1440, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | distinct_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p129, p101])).
% 6.88/3.21 fof(sdef150, definition, (spl150 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl150])], [avatar_definition])).
% 6.88/3.21 cnf(ssp206, plain, (~spl1 | spl8 | spl150), inference(avatar_split_clause, [status(thm)], [p1440, sdef8, sdef150])).
% 6.88/3.21 cnf(p1443, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk0) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p122])).
% 6.88/3.21 fof(sdef151, definition, (spl151 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk0) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl151])], [avatar_definition])).
% 6.88/3.21 cnf(ssp207, plain, (~spl1 | spl8 | spl151), inference(avatar_split_clause, [status(thm)], [p1443, sdef8, sdef151])).
% 6.88/3.21 cnf(p1446, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p123])).
% 6.88/3.21 fof(sdef152, definition, (spl152 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl152])], [avatar_definition])).
% 6.88/3.21 cnf(ssp208, plain, (~spl1 | spl7 | spl152), inference(avatar_split_clause, [status(thm)], [p1446, sdef7, sdef152])).
% 6.88/3.21 cnf(p1449, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk0) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p137])).
% 6.88/3.21 fof(sdef153, definition, (spl153 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk0) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl153])], [avatar_definition])).
% 6.88/3.21 cnf(ssp209, plain, (~spl1 | spl12 | spl153), inference(avatar_split_clause, [status(thm)], [p1449, sdef12, sdef153])).
% 6.88/3.21 cnf(p1451, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk2,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p277])).
% 6.88/3.21 fof(sdef154, definition, (spl154 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl154])], [avatar_definition])).
% 6.88/3.21 cnf(ssp210, plain, (~spl1 | spl7 | spl154), inference(avatar_split_clause, [status(thm)], [p1451, sdef7, sdef154])).
% 6.88/3.21 cnf(p1453, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk1,X3) | distinct_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p129, p143])).
% 6.88/3.21 fof(sdef155, definition, (spl155 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk1,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl155])], [avatar_definition])).
% 6.88/3.21 cnf(ssp211, plain, (~spl1 | spl7 | spl155), inference(avatar_split_clause, [status(thm)], [p1453, sdef7, sdef155])).
% 6.88/3.21 cnf(p1456, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p152])).
% 6.88/3.21 fof(sdef156, definition, (spl156 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl156])], [avatar_definition])).
% 6.88/3.21 cnf(ssp212, plain, (~spl1 | spl8 | spl156), inference(avatar_split_clause, [status(thm)], [p1456, sdef8, sdef156])).
% 6.88/3.21 cnf(p1460, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p280])).
% 6.88/3.21 fof(sdef157, definition, (spl157 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl157])], [avatar_definition])).
% 6.88/3.21 cnf(ssp213, plain, (~spl1 | spl7 | spl157), inference(avatar_split_clause, [status(thm)], [p1460, sdef7, sdef157])).
% 6.88/3.21 cnf(p1462, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk1) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p307])).
% 6.88/3.21 fof(sdef158, definition, (spl158 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk1) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl158])], [avatar_definition])).
% 6.88/3.21 cnf(ssp214, plain, (~spl1 | spl7 | spl158), inference(avatar_split_clause, [status(thm)], [p1462, sdef7, sdef158])).
% 6.88/3.21 cnf(p1466, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | distinct_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p129, p367])).
% 6.88/3.21 fof(sdef159, definition, (spl159 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl159])], [avatar_definition])).
% 6.88/3.21 cnf(ssp215, plain, (~spl1 | spl12 | spl159), inference(avatar_split_clause, [status(thm)], [p1466, sdef12, sdef159])).
% 6.88/3.21 cnf(p1473, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk0) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p427])).
% 6.88/3.21 fof(sdef160, definition, (spl160 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk0) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl160])], [avatar_definition])).
% 6.88/3.21 cnf(ssp216, plain, (~spl1 | spl8 | spl160), inference(avatar_split_clause, [status(thm)], [p1473, sdef8, sdef160])).
% 6.88/3.21 cnf(p1475, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk2,X3) | distinct_lines(X0,X3) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p129, p459])).
% 6.88/3.21 fof(sdef161, definition, (spl161 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl161])], [avatar_definition])).
% 6.88/3.21 cnf(ssp217, plain, (~spl1 | ~spl3 | spl7 | spl161), inference(avatar_split_clause, [status(thm)], [p1475, sdef7, sdef161])).
% 6.88/3.21 cnf(p1478, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | distinct_lines(X3,X0) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p129, p468])).
% 6.88/3.21 fof(sdef162, definition, (spl162 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl162])], [avatar_definition])).
% 6.88/3.21 cnf(ssp218, plain, (~spl1 | ~spl3 | spl12 | spl162), inference(avatar_split_clause, [status(thm)], [p1478, sdef12, sdef162])).
% 6.88/3.21 cnf(p1481, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk1,X3) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p520])).
% 6.88/3.21 fof(sdef163, definition, (spl163 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk1,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl163])], [avatar_definition])).
% 6.88/3.21 cnf(ssp219, plain, (~spl1 | spl7 | spl163), inference(avatar_split_clause, [status(thm)], [p1481, sdef7, sdef163])).
% 6.88/3.21 cnf(p1483, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk2) | distinct_lines(X3,X0) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p129, p541])).
% 6.88/3.21 fof(sdef164, definition, (spl164 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk2) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl164])], [avatar_definition])).
% 6.88/3.21 cnf(ssp220, plain, (~spl1 | ~spl3 | spl7 | spl164), inference(avatar_split_clause, [status(thm)], [p1483, sdef7, sdef164])).
% 6.88/3.21 cnf(p1486, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,X0) | distinct_lines(sk0,X4) | distinct_lines(X3,X4) | ~spl1), inference(resolution, [status(thm)], [p129, p58])).
% 6.88/3.21 fof(sdef165, definition, (spl165 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,X0) | distinct_lines(sk0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl165])], [avatar_definition])).
% 6.88/3.21 cnf(ssp221, plain, (~spl1 | spl8 | spl165), inference(avatar_split_clause, [status(thm)], [p1486, sdef8, sdef165])).
% 6.88/3.21 cnf(p1489, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p58])).
% 6.88/3.21 fof(sdef166, definition, (spl166 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl166])], [avatar_definition])).
% 6.88/3.21 cnf(ssp222, plain, (~spl1 | spl7 | spl166), inference(avatar_split_clause, [status(thm)], [p1489, sdef7, sdef166])).
% 6.88/3.21 cnf(p1494, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(sk1,X4) | distinct_lines(X3,X4) | ~spl1), inference(resolution, [status(thm)], [p129, p59])).
% 6.88/3.21 fof(sdef167, definition, (spl167 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(sk1,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl167])], [avatar_definition])).
% 6.88/3.21 cnf(ssp223, plain, (~spl1 | spl7 | spl167), inference(avatar_split_clause, [status(thm)], [p1494, sdef7, sdef167])).
% 6.88/3.21 cnf(p1496, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p59])).
% 6.88/3.21 fof(sdef168, definition, (spl168 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl168])], [avatar_definition])).
% 6.88/3.21 cnf(ssp224, plain, (~spl1 | spl8 | spl168), inference(avatar_split_clause, [status(thm)], [p1496, sdef8, sdef168])).
% 6.88/3.21 cnf(p1500, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk0) | distinct_lines(X3,X0) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p129, p598])).
% 6.88/3.21 fof(sdef169, definition, (spl169 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk0) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl169])], [avatar_definition])).
% 6.88/3.21 cnf(ssp225, plain, (~spl1 | ~spl3 | spl12 | spl169), inference(avatar_split_clause, [status(thm)], [p1500, sdef12, sdef169])).
% 6.88/3.21 cnf(p1502, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4) | ~spl1), inference(resolution, [status(thm)], [p129, p60])).
% 6.88/3.21 fof(sdef170, definition, (spl170 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk1,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl170])], [avatar_definition])).
% 6.88/3.21 cnf(ssp226, plain, (~spl1 | spl7 | spl170), inference(avatar_split_clause, [status(thm)], [p1502, sdef7, sdef170])).
% 6.88/3.21 cnf(p1504, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X0,X4) | ~spl1), inference(resolution, [status(thm)], [p129, p60])).
% 6.88/3.21 fof(sdef171, definition, (spl171 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X0,X4))), introduced(definition, [new_symbols(naming, [spl171])], [avatar_definition])).
% 6.88/3.21 cnf(ssp227, plain, (~spl1 | spl8 | spl171), inference(avatar_split_clause, [status(thm)], [p1504, sdef8, sdef171])).
% 6.88/3.21 cnf(p1507, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X3,sk2) | ~spl1), inference(resolution, [status(thm)], [p129, p623])).
% 6.88/3.21 fof(sdef172, definition, (spl172 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X3,sk2))), introduced(definition, [new_symbols(naming, [spl172])], [avatar_definition])).
% 6.88/3.21 cnf(ssp228, plain, (~spl1 | spl7 | spl172), inference(avatar_split_clause, [status(thm)], [p1507, sdef7, sdef172])).
% 6.88/3.21 cnf(p1509, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X3,sk1) | ~spl1), inference(resolution, [status(thm)], [p129, p624])).
% 6.88/3.21 fof(sdef173, definition, (spl173 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X3,sk1))), introduced(definition, [new_symbols(naming, [spl173])], [avatar_definition])).
% 6.88/3.21 cnf(ssp229, plain, (~spl1 | spl7 | spl173), inference(avatar_split_clause, [status(thm)], [p1509, sdef7, sdef173])).
% 6.88/3.21 cnf(p1511, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk2,X3) | distinct_lines(X3,X0) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p129, p634])).
% 6.88/3.21 fof(sdef174, definition, (spl174 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl174])], [avatar_definition])).
% 6.88/3.21 cnf(ssp230, plain, (~spl1 | ~spl3 | spl7 | spl174), inference(avatar_split_clause, [status(thm)], [p1511, sdef7, sdef174])).
% 6.88/3.21 cnf(p1513, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,X0) | distinct_lines(sk0,X4) | distinct_lines(X3,X4) | ~spl1), inference(resolution, [status(thm)], [p129, p75])).
% 6.88/3.21 fof(sdef175, definition, (spl175 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,X0) | distinct_lines(sk0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl175])], [avatar_definition])).
% 6.88/3.21 cnf(ssp231, plain, (~spl1 | spl12 | spl175), inference(avatar_split_clause, [status(thm)], [p1513, sdef12, sdef175])).
% 6.88/3.21 cnf(p1516, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p75])).
% 6.88/3.21 fof(sdef176, definition, (spl176 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl176])], [avatar_definition])).
% 6.88/3.21 cnf(ssp232, plain, (~spl1 | spl7 | spl176), inference(avatar_split_clause, [status(thm)], [p1516, sdef7, sdef176])).
% 6.88/3.21 cnf(p1519, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(sk2,X4) | distinct_lines(X3,X4) | ~spl1), inference(resolution, [status(thm)], [p129, p76])).
% 6.88/3.21 fof(sdef177, definition, (spl177 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(sk2,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl177])], [avatar_definition])).
% 6.88/3.21 cnf(ssp233, plain, (~spl1 | spl7 | spl177), inference(avatar_split_clause, [status(thm)], [p1519, sdef7, sdef177])).
% 6.88/3.21 cnf(p1521, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p76])).
% 6.88/3.21 fof(sdef178, definition, (spl178 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl178])], [avatar_definition])).
% 6.88/3.21 cnf(ssp234, plain, (~spl1 | spl12 | spl178), inference(avatar_split_clause, [status(thm)], [p1521, sdef12, sdef178])).
% 6.88/3.21 cnf(p1524, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4) | ~spl1), inference(resolution, [status(thm)], [p129, p77])).
% 6.88/3.21 fof(sdef179, definition, (spl179 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk2,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl179])], [avatar_definition])).
% 6.88/3.21 cnf(ssp235, plain, (~spl1 | spl7 | spl179), inference(avatar_split_clause, [status(thm)], [p1524, sdef7, sdef179])).
% 6.88/3.21 cnf(p1526, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X0,X4) | ~spl1), inference(resolution, [status(thm)], [p129, p77])).
% 6.88/3.21 fof(sdef180, definition, (spl180 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X0,X4))), introduced(definition, [new_symbols(naming, [spl180])], [avatar_definition])).
% 6.88/3.21 cnf(ssp236, plain, (~spl1 | spl12 | spl180), inference(avatar_split_clause, [status(thm)], [p1526, sdef12, sdef180])).
% 6.88/3.21 cnf(p1529, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk1) | distinct_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p129, p699])).
% 6.88/3.21 fof(sdef181, definition, (spl181 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk1) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl181])], [avatar_definition])).
% 6.88/3.21 cnf(ssp237, plain, (~spl1 | spl7 | spl181), inference(avatar_split_clause, [status(thm)], [p1529, sdef7, sdef181])).
% 6.88/3.21 cnf(p1531, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk0) | distinct_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p129, p747])).
% 6.88/3.21 fof(sdef182, definition, (spl182 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk0) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl182])], [avatar_definition])).
% 6.88/3.21 cnf(ssp238, plain, (~spl1 | spl8 | spl182), inference(avatar_split_clause, [status(thm)], [p1531, sdef8, sdef182])).
% 6.88/3.21 cnf(p1533, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X3,sk0) | ~spl1), inference(resolution, [status(thm)], [p129, p755])).
% 6.88/3.21 fof(sdef183, definition, (spl183 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X3,sk0))), introduced(definition, [new_symbols(naming, [spl183])], [avatar_definition])).
% 6.88/3.21 cnf(ssp239, plain, (~spl1 | spl8 | spl183), inference(avatar_split_clause, [status(thm)], [p1533, sdef8, sdef183])).
% 6.88/3.21 cnf(p1536, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk2,X3) | distinct_lines(X0,X3) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p129, p803])).
% 6.88/3.21 cnf(ssp240, plain, (~spl1 | ~spl6 | spl7 | spl161), inference(avatar_split_clause, [status(thm)], [p1536, sdef7, sdef161])).
% 6.88/3.21 cnf(p1538, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk0,X3) | distinct_lines(X3,X0) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p129, p812])).
% 6.88/3.21 cnf(ssp241, plain, (~spl1 | ~spl6 | spl12 | spl162), inference(avatar_split_clause, [status(thm)], [p1538, sdef12, sdef162])).
% 6.88/3.21 cnf(p1540, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk2) | distinct_lines(X3,X0) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p129, p850])).
% 6.88/3.21 cnf(ssp242, plain, (~spl1 | ~spl6 | spl7 | spl164), inference(avatar_split_clause, [status(thm)], [p1540, sdef7, sdef164])).
% 6.88/3.21 cnf(p1545, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(X3,sk0) | distinct_lines(X3,X0) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p129, p900])).
% 6.88/3.21 cnf(ssp243, plain, (~spl1 | ~spl6 | spl12 | spl169), inference(avatar_split_clause, [status(thm)], [p1545, sdef12, sdef169])).
% 6.88/3.21 cnf(p1546, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | convergent_lines(sk2,X3) | distinct_lines(X3,X0) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p129, p932])).
% 6.88/3.21 cnf(ssp244, plain, (~spl1 | ~spl6 | spl7 | spl174), inference(avatar_split_clause, [status(thm)], [p1546, sdef7, sdef174])).
% 6.88/3.21 cnf(p1547, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(sk0,X4) | distinct_lines(X3,X4) | ~spl1), inference(resolution, [status(thm)], [p129, p125])).
% 6.88/3.21 fof(sdef184, definition, (spl184 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(sk0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl184])], [avatar_definition])).
% 6.88/3.21 cnf(ssp245, plain, (~spl1 | spl12 | spl184), inference(avatar_split_clause, [status(thm)], [p1547, sdef12, sdef184])).
% 6.88/3.21 cnf(p1550, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk2) | distinct_lines(X3,X4) | distinct_lines(X4,X0) | ~spl1), inference(resolution, [status(thm)], [p129, p125])).
% 6.88/3.21 fof(sdef185, definition, (spl185 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk2) | distinct_lines(X3,X4) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl185])], [avatar_definition])).
% 6.88/3.21 cnf(ssp246, plain, (~spl1 | spl7 | spl185), inference(avatar_split_clause, [status(thm)], [p1550, sdef7, sdef185])).
% 6.88/3.21 cnf(p1553, plain, (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X3,sk0) | ~spl1), inference(resolution, [status(thm)], [p129, p945])).
% 6.88/3.21 fof(sdef186, definition, (spl186 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X0,X3) | distinct_lines(X3,sk0))), introduced(definition, [new_symbols(naming, [spl186])], [avatar_definition])).
% 6.88/3.21 cnf(ssp247, plain, (~spl1 | spl12 | spl186), inference(avatar_split_clause, [status(thm)], [p1553, sdef12, sdef186])).
% 6.88/3.21 cnf(p1556, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk0) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk2) | distinct_lines(X3,X4) | distinct_lines(X0,X4) | ~spl1), inference(resolution, [status(thm)], [p129, p126])).
% 6.88/3.21 fof(sdef187, definition, (spl187 <=> (apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk2),X2) | distinct_points(X1,X2) | distinct_lines(X3,sk2) | distinct_lines(X3,X4) | distinct_lines(X0,X4))), introduced(definition, [new_symbols(naming, [spl187])], [avatar_definition])).
% 6.88/3.21 cnf(ssp248, plain, (~spl1 | spl7 | spl187), inference(avatar_split_clause, [status(thm)], [p1556, sdef7, sdef187])).
% 6.88/3.21 cnf(p1560, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | ~spl1 | ~spl123), inference(resolution, [status(thm)], [p1359, p127])).
% 6.88/3.21 cnf(ssp249, plain, (~spl1 | ~spl123 | spl8 | spl10 | spl12 | spl13), inference(avatar_split_clause, [status(thm)], [p1560, sdef8, sdef10, sdef12, sdef13])).
% 6.88/3.21 cnf(p1561, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk1),X0) | ~spl1 | ~spl123), inference(resolution, [status(thm)], [p1359, p128])).
% 6.88/3.21 fof(sdef188, definition, (spl188 <=> (apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk1),X0))), introduced(definition, [new_symbols(naming, [spl188])], [avatar_definition])).
% 6.88/3.21 cnf(ssp250, plain, (~spl1 | ~spl123 | spl10 | spl13 | spl188), inference(avatar_split_clause, [status(thm)], [p1561, sdef10, sdef13, sdef188])).
% 6.88/3.21 cnf(p1563, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk2),X1) | distinct_points(X0,X1) | ~spl1 | ~spl123), inference(resolution, [status(thm)], [p1359, p129])).
% 6.88/3.21 fof(sdef189, definition, (spl189 <=> (apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk2),X1) | distinct_points(X0,X1))), introduced(definition, [new_symbols(naming, [spl189])], [avatar_definition])).
% 6.88/3.21 cnf(ssp251, plain, (~spl1 | ~spl123 | spl8 | spl12 | spl189), inference(avatar_split_clause, [status(thm)], [p1563, sdef8, sdef12, sdef189])).
% 6.88/3.21 cnf(p1397, plain, (distinct_lines(sk2,sk1) | ~spl122), inference(resolution, [status(thm)], [p1357, c13])).
% 6.88/3.21 cnf(p1571, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | ~spl1 | ~spl122), inference(resolution, [status(thm)], [p1397, p127])).
% 6.88/3.21 cnf(ssp252, plain, (~spl1 | ~spl122 | spl8 | spl10 | spl12 | spl13), inference(avatar_split_clause, [status(thm)], [p1571, sdef8, sdef10, sdef12, sdef13])).
% 6.88/3.21 cnf(p1572, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk1),X0) | ~spl1 | ~spl122), inference(resolution, [status(thm)], [p1397, p128])).
% 6.88/3.21 cnf(ssp253, plain, (~spl1 | ~spl122 | spl10 | spl13 | spl188), inference(avatar_split_clause, [status(thm)], [p1572, sdef10, sdef13, sdef188])).
% 6.88/3.21 cnf(p1573, plain, (apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk2),X1) | distinct_points(X0,X1) | ~spl1 | ~spl122), inference(resolution, [status(thm)], [p1397, p129])).
% 6.88/3.21 cnf(ssp254, plain, (~spl1 | ~spl122 | spl8 | spl12 | spl189), inference(avatar_split_clause, [status(thm)], [p1573, sdef8, sdef12, sdef189])).
% 6.88/3.21 cnf(p130, plain, (~distinct_lines(X0,X1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),X1) | apart_point_and_line(X2,X0) | apart_point_and_line(X2,X1) | distinct_points(intersection_point(sk0,sk1),X3) | distinct_points(X3,X2) | ~spl1), inference(resolution, [status(thm)], [c10, p21])).
% 6.88/3.21 cnf(p1574, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X1,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p19])).
% 6.88/3.21 fof(sdef190, definition, (spl190 <=> (apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl190])], [avatar_definition])).
% 6.88/3.21 cnf(ssp255, plain, (~spl1 | spl9 | spl10 | spl190), inference(avatar_split_clause, [status(thm)], [p1574, sdef9, sdef10, sdef190])).
% 6.88/3.21 cnf(p1576, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p30])).
% 6.88/3.21 fof(sdef191, definition, (spl191 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl191])], [avatar_definition])).
% 6.88/3.21 cnf(ssp256, plain, (~spl1 | spl10 | spl191), inference(avatar_split_clause, [status(thm)], [p1576, sdef10, sdef191])).
% 6.88/3.21 cnf(p1578, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X1,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p31])).
% 6.88/3.21 fof(sdef192, definition, (spl192 <=> (apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl192])], [avatar_definition])).
% 6.88/3.21 cnf(ssp257, plain, (~spl1 | spl9 | spl13 | spl192), inference(avatar_split_clause, [status(thm)], [p1578, sdef9, sdef13, sdef192])).
% 6.88/3.21 cnf(p1580, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p33])).
% 6.88/3.21 fof(sdef193, definition, (spl193 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl193])], [avatar_definition])).
% 6.88/3.21 cnf(ssp258, plain, (~spl1 | spl13 | spl193), inference(avatar_split_clause, [status(thm)], [p1580, sdef13, sdef193])).
% 6.88/3.21 cnf(p1582, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk1,X3) | distinct_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p130, p32])).
% 6.88/3.21 fof(sdef194, definition, (spl194 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk1,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl194])], [avatar_definition])).
% 6.88/3.21 cnf(ssp259, plain, (~spl1 | spl9 | spl194), inference(avatar_split_clause, [status(thm)], [p1582, sdef9, sdef194])).
% 6.88/3.21 cnf(p1584, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p32])).
% 6.88/3.21 fof(sdef195, definition, (spl195 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl195])], [avatar_definition])).
% 6.88/3.21 cnf(ssp260, plain, (~spl1 | spl10 | spl195), inference(avatar_split_clause, [status(thm)], [p1584, sdef10, sdef195])).
% 6.88/3.21 cnf(p1587, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,sk2) | ~spl1), inference(resolution, [status(thm)], [p130, p56])).
% 6.88/3.21 fof(sdef196, definition, (spl196 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,sk2))), introduced(definition, [new_symbols(naming, [spl196])], [avatar_definition])).
% 6.88/3.21 cnf(ssp261, plain, (~spl1 | spl9 | spl196), inference(avatar_split_clause, [status(thm)], [p1587, sdef9, sdef196])).
% 6.88/3.21 cnf(p1589, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,sk1) | ~spl1), inference(resolution, [status(thm)], [p130, p57])).
% 6.88/3.21 fof(sdef197, definition, (spl197 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,sk1))), introduced(definition, [new_symbols(naming, [spl197])], [avatar_definition])).
% 6.88/3.21 cnf(ssp262, plain, (~spl1 | spl9 | spl197), inference(avatar_split_clause, [status(thm)], [p1589, sdef9, sdef197])).
% 6.88/3.21 cnf(p1591, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk2,X3) | distinct_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p130, p34])).
% 6.88/3.21 fof(sdef198, definition, (spl198 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl198])], [avatar_definition])).
% 6.88/3.21 cnf(ssp263, plain, (~spl1 | spl9 | spl198), inference(avatar_split_clause, [status(thm)], [p1591, sdef9, sdef198])).
% 6.88/3.21 cnf(p1593, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p34])).
% 6.88/3.21 fof(sdef199, definition, (spl199 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl199])], [avatar_definition])).
% 6.88/3.21 cnf(ssp264, plain, (~spl1 | spl13 | spl199), inference(avatar_split_clause, [status(thm)], [p1593, sdef13, sdef199])).
% 6.88/3.21 cnf(p1596, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,sk0) | ~spl1), inference(resolution, [status(thm)], [p130, p106])).
% 6.88/3.21 fof(sdef200, definition, (spl200 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,sk0))), introduced(definition, [new_symbols(naming, [spl200])], [avatar_definition])).
% 6.88/3.21 cnf(ssp265, plain, (~spl1 | spl10 | spl200), inference(avatar_split_clause, [status(thm)], [p1596, sdef10, sdef200])).
% 6.88/3.21 cnf(p1598, plain, (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk1,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p106])).
% 6.88/3.21 fof(sdef201, definition, (spl201 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl201])], [avatar_definition])).
% 6.88/3.21 cnf(ssp266, plain, (~spl1 | spl9 | spl201), inference(avatar_split_clause, [status(thm)], [p1598, sdef9, sdef201])).
% 6.88/3.21 cnf(p1600, plain, (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p130, p61])).
% 6.88/3.21 fof(sdef202, definition, (spl202 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl202])], [avatar_definition])).
% 6.88/3.21 cnf(ssp267, plain, (~spl1 | spl13 | spl202), inference(avatar_split_clause, [status(thm)], [p1600, sdef13, sdef202])).
% 6.88/3.21 cnf(p1602, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk2) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p61])).
% 6.88/3.21 fof(sdef203, definition, (spl203 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk2) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl203])], [avatar_definition])).
% 6.88/3.21 cnf(ssp268, plain, (~spl1 | spl9 | spl203), inference(avatar_split_clause, [status(thm)], [p1602, sdef9, sdef203])).
% 6.88/3.21 cnf(p1605, plain, (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,sk0) | ~spl1), inference(resolution, [status(thm)], [p130, p124])).
% 6.88/3.21 fof(sdef204, definition, (spl204 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,sk0))), introduced(definition, [new_symbols(naming, [spl204])], [avatar_definition])).
% 6.88/3.21 cnf(ssp269, plain, (~spl1 | spl13 | spl204), inference(avatar_split_clause, [status(thm)], [p1605, sdef13, sdef204])).
% 6.88/3.21 cnf(p1607, plain, (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p130, p62])).
% 6.88/3.21 fof(sdef205, definition, (spl205 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl205])], [avatar_definition])).
% 6.88/3.21 cnf(ssp270, plain, (~spl1 | spl10 | spl205), inference(avatar_split_clause, [status(thm)], [p1607, sdef10, sdef205])).
% 6.88/3.21 cnf(p1609, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk1) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p62])).
% 6.88/3.21 fof(sdef206, definition, (spl206 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk1) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl206])], [avatar_definition])).
% 6.88/3.21 cnf(ssp271, plain, (~spl1 | spl9 | spl206), inference(avatar_split_clause, [status(thm)], [p1609, sdef9, sdef206])).
% 6.88/3.21 cnf(p1613, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk0,X3) | distinct_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p130, p101])).
% 6.88/3.21 fof(sdef207, definition, (spl207 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk0,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl207])], [avatar_definition])).
% 6.88/3.21 cnf(ssp272, plain, (~spl1 | spl10 | spl207), inference(avatar_split_clause, [status(thm)], [p1613, sdef10, sdef207])).
% 6.88/3.21 cnf(p1616, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk0) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p122])).
% 6.88/3.21 fof(sdef208, definition, (spl208 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk0) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl208])], [avatar_definition])).
% 6.88/3.21 cnf(ssp273, plain, (~spl1 | spl10 | spl208), inference(avatar_split_clause, [status(thm)], [p1616, sdef10, sdef208])).
% 6.88/3.21 cnf(p1619, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk1,X3) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p123])).
% 6.88/3.21 fof(sdef209, definition, (spl209 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk1,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl209])], [avatar_definition])).
% 6.88/3.21 cnf(ssp274, plain, (~spl1 | spl9 | spl209), inference(avatar_split_clause, [status(thm)], [p1619, sdef9, sdef209])).
% 6.88/3.21 cnf(p1622, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk0) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p137])).
% 6.88/3.21 fof(sdef210, definition, (spl210 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk0) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl210])], [avatar_definition])).
% 6.88/3.21 cnf(ssp275, plain, (~spl1 | spl13 | spl210), inference(avatar_split_clause, [status(thm)], [p1622, sdef13, sdef210])).
% 6.88/3.21 cnf(p1624, plain, (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk2,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p277])).
% 6.88/3.21 fof(sdef211, definition, (spl211 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk2,X0))), introduced(definition, [new_symbols(naming, [spl211])], [avatar_definition])).
% 6.88/3.21 cnf(ssp276, plain, (~spl1 | spl9 | spl211), inference(avatar_split_clause, [status(thm)], [p1624, sdef9, sdef211])).
% 6.88/3.21 cnf(p1626, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk1,X3) | distinct_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p130, p143])).
% 6.88/3.21 fof(sdef212, definition, (spl212 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk1,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl212])], [avatar_definition])).
% 6.88/3.21 cnf(ssp277, plain, (~spl1 | spl9 | spl212), inference(avatar_split_clause, [status(thm)], [p1626, sdef9, sdef212])).
% 6.88/3.21 cnf(p1629, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk0,X3) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p152])).
% 6.88/3.21 fof(sdef213, definition, (spl213 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk0,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl213])], [avatar_definition])).
% 6.88/3.21 cnf(ssp278, plain, (~spl1 | spl10 | spl213), inference(avatar_split_clause, [status(thm)], [p1629, sdef10, sdef213])).
% 6.88/3.21 cnf(p1633, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk2,X3) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p280])).
% 6.88/3.21 fof(sdef214, definition, (spl214 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl214])], [avatar_definition])).
% 6.88/3.21 cnf(ssp279, plain, (~spl1 | spl9 | spl214), inference(avatar_split_clause, [status(thm)], [p1633, sdef9, sdef214])).
% 6.88/3.21 cnf(p1635, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk1) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p307])).
% 6.88/3.21 fof(sdef215, definition, (spl215 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk1) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl215])], [avatar_definition])).
% 6.88/3.21 cnf(ssp280, plain, (~spl1 | spl9 | spl215), inference(avatar_split_clause, [status(thm)], [p1635, sdef9, sdef215])).
% 6.88/3.21 cnf(p1639, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk0,X3) | distinct_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p130, p367])).
% 6.88/3.21 fof(sdef216, definition, (spl216 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk0,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl216])], [avatar_definition])).
% 6.88/3.21 cnf(ssp281, plain, (~spl1 | spl13 | spl216), inference(avatar_split_clause, [status(thm)], [p1639, sdef13, sdef216])).
% 6.88/3.21 cnf(p1646, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk0) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p427])).
% 6.88/3.21 fof(sdef217, definition, (spl217 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk0) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl217])], [avatar_definition])).
% 6.88/3.21 cnf(ssp282, plain, (~spl1 | spl10 | spl217), inference(avatar_split_clause, [status(thm)], [p1646, sdef10, sdef217])).
% 6.88/3.21 cnf(p1648, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk2,X3) | distinct_lines(X0,X3) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p130, p459])).
% 6.88/3.21 fof(sdef218, definition, (spl218 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk2,X3) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl218])], [avatar_definition])).
% 6.88/3.21 cnf(ssp283, plain, (~spl1 | ~spl3 | spl9 | spl218), inference(avatar_split_clause, [status(thm)], [p1648, sdef9, sdef218])).
% 6.88/3.21 cnf(p1651, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk0,X3) | distinct_lines(X3,X0) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p130, p468])).
% 6.88/3.21 fof(sdef219, definition, (spl219 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk0,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl219])], [avatar_definition])).
% 6.88/3.21 cnf(ssp284, plain, (~spl1 | ~spl3 | spl13 | spl219), inference(avatar_split_clause, [status(thm)], [p1651, sdef13, sdef219])).
% 6.88/3.21 cnf(p1654, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk1,X3) | distinct_lines(X3,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p520])).
% 6.88/3.21 fof(sdef220, definition, (spl220 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk1,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl220])], [avatar_definition])).
% 6.88/3.21 cnf(ssp285, plain, (~spl1 | spl9 | spl220), inference(avatar_split_clause, [status(thm)], [p1654, sdef9, sdef220])).
% 6.88/3.21 cnf(p1656, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk2) | distinct_lines(X3,X0) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p130, p541])).
% 6.88/3.21 fof(sdef221, definition, (spl221 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk2) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl221])], [avatar_definition])).
% 6.88/3.21 cnf(ssp286, plain, (~spl1 | ~spl3 | spl9 | spl221), inference(avatar_split_clause, [status(thm)], [p1656, sdef9, sdef221])).
% 6.88/3.21 cnf(p1659, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,X0) | distinct_lines(sk0,X4) | distinct_lines(X3,X4) | ~spl1), inference(resolution, [status(thm)], [p130, p58])).
% 6.88/3.21 fof(sdef222, definition, (spl222 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,X0) | distinct_lines(sk0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl222])], [avatar_definition])).
% 6.88/3.21 cnf(ssp287, plain, (~spl1 | spl10 | spl222), inference(avatar_split_clause, [status(thm)], [p1659, sdef10, sdef222])).
% 6.88/3.21 cnf(p1662, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk1,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p58])).
% 6.88/3.21 fof(sdef223, definition, (spl223 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk1,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl223])], [avatar_definition])).
% 6.88/3.21 cnf(ssp288, plain, (~spl1 | spl9 | spl223), inference(avatar_split_clause, [status(thm)], [p1662, sdef9, sdef223])).
% 6.88/3.21 cnf(p1667, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(sk1,X4) | distinct_lines(X3,X4) | ~spl1), inference(resolution, [status(thm)], [p130, p59])).
% 6.88/3.21 fof(sdef224, definition, (spl224 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(sk1,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl224])], [avatar_definition])).
% 6.88/3.21 cnf(ssp289, plain, (~spl1 | spl9 | spl224), inference(avatar_split_clause, [status(thm)], [p1667, sdef9, sdef224])).
% 6.88/3.21 cnf(p1669, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p59])).
% 6.88/3.21 fof(sdef225, definition, (spl225 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl225])], [avatar_definition])).
% 6.88/3.21 cnf(ssp290, plain, (~spl1 | spl10 | spl225), inference(avatar_split_clause, [status(thm)], [p1669, sdef10, sdef225])).
% 6.88/3.21 cnf(p1673, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk0) | distinct_lines(X3,X0) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p130, p598])).
% 6.88/3.21 fof(sdef226, definition, (spl226 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk0) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl226])], [avatar_definition])).
% 6.88/3.21 cnf(ssp291, plain, (~spl1 | ~spl3 | spl13 | spl226), inference(avatar_split_clause, [status(thm)], [p1673, sdef13, sdef226])).
% 6.88/3.21 cnf(p1675, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk1,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4) | ~spl1), inference(resolution, [status(thm)], [p130, p60])).
% 6.88/3.21 fof(sdef227, definition, (spl227 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk1,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl227])], [avatar_definition])).
% 6.88/3.21 cnf(ssp292, plain, (~spl1 | spl9 | spl227), inference(avatar_split_clause, [status(thm)], [p1675, sdef9, sdef227])).
% 6.88/3.21 cnf(p1677, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X0,X4) | ~spl1), inference(resolution, [status(thm)], [p130, p60])).
% 6.88/3.21 fof(sdef228, definition, (spl228 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X0,X4))), introduced(definition, [new_symbols(naming, [spl228])], [avatar_definition])).
% 6.88/3.21 cnf(ssp293, plain, (~spl1 | spl10 | spl228), inference(avatar_split_clause, [status(thm)], [p1677, sdef10, sdef228])).
% 6.88/3.21 cnf(p1680, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(X3,sk2) | ~spl1), inference(resolution, [status(thm)], [p130, p623])).
% 6.88/3.21 fof(sdef229, definition, (spl229 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(X3,sk2))), introduced(definition, [new_symbols(naming, [spl229])], [avatar_definition])).
% 6.88/3.21 cnf(ssp294, plain, (~spl1 | spl9 | spl229), inference(avatar_split_clause, [status(thm)], [p1680, sdef9, sdef229])).
% 6.88/3.21 cnf(p1682, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(X3,sk1) | ~spl1), inference(resolution, [status(thm)], [p130, p624])).
% 6.88/3.21 fof(sdef230, definition, (spl230 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(X3,sk1))), introduced(definition, [new_symbols(naming, [spl230])], [avatar_definition])).
% 6.88/3.21 cnf(ssp295, plain, (~spl1 | spl9 | spl230), inference(avatar_split_clause, [status(thm)], [p1682, sdef9, sdef230])).
% 6.88/3.21 cnf(p1684, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk2,X3) | distinct_lines(X3,X0) | ~spl1 | ~spl3), inference(resolution, [status(thm)], [p130, p634])).
% 6.88/3.21 fof(sdef231, definition, (spl231 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk2,X3) | distinct_lines(X3,X0))), introduced(definition, [new_symbols(naming, [spl231])], [avatar_definition])).
% 6.88/3.21 cnf(ssp296, plain, (~spl1 | ~spl3 | spl9 | spl231), inference(avatar_split_clause, [status(thm)], [p1684, sdef9, sdef231])).
% 6.88/3.21 cnf(p1686, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,X0) | distinct_lines(sk0,X4) | distinct_lines(X3,X4) | ~spl1), inference(resolution, [status(thm)], [p130, p75])).
% 6.88/3.21 fof(sdef232, definition, (spl232 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,X0) | distinct_lines(sk0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl232])], [avatar_definition])).
% 6.88/3.21 cnf(ssp297, plain, (~spl1 | spl13 | spl232), inference(avatar_split_clause, [status(thm)], [p1686, sdef13, sdef232])).
% 6.88/3.21 cnf(p1689, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk2,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p75])).
% 6.88/3.21 fof(sdef233, definition, (spl233 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk2,X3) | distinct_lines(X4,X3) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl233])], [avatar_definition])).
% 6.88/3.21 cnf(ssp298, plain, (~spl1 | spl9 | spl233), inference(avatar_split_clause, [status(thm)], [p1689, sdef9, sdef233])).
% 6.88/3.21 cnf(p1692, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(sk2,X4) | distinct_lines(X3,X4) | ~spl1), inference(resolution, [status(thm)], [p130, p76])).
% 6.88/3.21 fof(sdef234, definition, (spl234 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(sk2,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl234])], [avatar_definition])).
% 6.88/3.21 cnf(ssp299, plain, (~spl1 | spl9 | spl234), inference(avatar_split_clause, [status(thm)], [p1692, sdef9, sdef234])).
% 6.88/3.21 cnf(p1694, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p76])).
% 6.88/3.21 fof(sdef235, definition, (spl235 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl235])], [avatar_definition])).
% 6.88/3.21 cnf(ssp300, plain, (~spl1 | spl13 | spl235), inference(avatar_split_clause, [status(thm)], [p1694, sdef13, sdef235])).
% 6.88/3.21 cnf(p1697, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk2,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4) | ~spl1), inference(resolution, [status(thm)], [p130, p77])).
% 6.88/3.21 fof(sdef236, definition, (spl236 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk2,X3) | distinct_lines(X0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl236])], [avatar_definition])).
% 6.88/3.21 cnf(ssp301, plain, (~spl1 | spl9 | spl236), inference(avatar_split_clause, [status(thm)], [p1697, sdef9, sdef236])).
% 6.88/3.21 cnf(p1699, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X0,X4) | ~spl1), inference(resolution, [status(thm)], [p130, p77])).
% 6.88/3.21 fof(sdef237, definition, (spl237 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(sk0,X3) | distinct_lines(X3,X4) | distinct_lines(X0,X4))), introduced(definition, [new_symbols(naming, [spl237])], [avatar_definition])).
% 6.88/3.21 cnf(ssp302, plain, (~spl1 | spl13 | spl237), inference(avatar_split_clause, [status(thm)], [p1699, sdef13, sdef237])).
% 6.88/3.21 cnf(p1702, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk1) | distinct_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p130, p699])).
% 6.88/3.21 fof(sdef238, definition, (spl238 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk1) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl238])], [avatar_definition])).
% 6.88/3.21 cnf(ssp303, plain, (~spl1 | spl9 | spl238), inference(avatar_split_clause, [status(thm)], [p1702, sdef9, sdef238])).
% 6.88/3.21 cnf(p1704, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk0) | distinct_lines(X0,X3) | ~spl1), inference(resolution, [status(thm)], [p130, p747])).
% 6.88/3.21 fof(sdef239, definition, (spl239 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk0) | distinct_lines(X0,X3))), introduced(definition, [new_symbols(naming, [spl239])], [avatar_definition])).
% 6.88/3.21 cnf(ssp304, plain, (~spl1 | spl10 | spl239), inference(avatar_split_clause, [status(thm)], [p1704, sdef10, sdef239])).
% 6.88/3.21 cnf(p1706, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(X3,sk0) | ~spl1), inference(resolution, [status(thm)], [p130, p755])).
% 6.88/3.21 fof(sdef240, definition, (spl240 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk1) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(X3,sk0))), introduced(definition, [new_symbols(naming, [spl240])], [avatar_definition])).
% 6.88/3.21 cnf(ssp305, plain, (~spl1 | spl10 | spl240), inference(avatar_split_clause, [status(thm)], [p1706, sdef10, sdef240])).
% 6.88/3.21 cnf(p1709, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk2,X3) | distinct_lines(X0,X3) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p130, p803])).
% 6.88/3.21 cnf(ssp306, plain, (~spl1 | ~spl6 | spl9 | spl218), inference(avatar_split_clause, [status(thm)], [p1709, sdef9, sdef218])).
% 6.88/3.21 cnf(p1711, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk0,X3) | distinct_lines(X3,X0) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p130, p812])).
% 6.88/3.21 cnf(ssp307, plain, (~spl1 | ~spl6 | spl13 | spl219), inference(avatar_split_clause, [status(thm)], [p1711, sdef13, sdef219])).
% 6.88/3.21 cnf(p1713, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk2) | distinct_lines(X3,X0) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p130, p850])).
% 6.88/3.21 cnf(ssp308, plain, (~spl1 | ~spl6 | spl9 | spl221), inference(avatar_split_clause, [status(thm)], [p1713, sdef9, sdef221])).
% 6.88/3.21 cnf(p1718, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk2) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(X3,sk0) | distinct_lines(X3,X0) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p130, p900])).
% 6.88/3.21 cnf(ssp309, plain, (~spl1 | ~spl6 | spl13 | spl226), inference(avatar_split_clause, [status(thm)], [p1718, sdef13, sdef226])).
% 6.88/3.21 cnf(p1719, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | convergent_lines(sk2,X3) | distinct_lines(X3,X0) | ~spl1 | ~spl6), inference(resolution, [status(thm)], [p130, p932])).
% 6.88/3.21 cnf(ssp310, plain, (~spl1 | ~spl6 | spl9 | spl231), inference(avatar_split_clause, [status(thm)], [p1719, sdef9, sdef231])).
% 6.88/3.21 cnf(p1720, plain, (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(sk0,X4) | distinct_lines(X3,X4) | ~spl1), inference(resolution, [status(thm)], [p130, p125])).
% 6.88/3.21 fof(sdef241, definition, (spl241 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(sk0,X4) | distinct_lines(X3,X4))), introduced(definition, [new_symbols(naming, [spl241])], [avatar_definition])).
% 6.88/3.21 cnf(ssp311, plain, (~spl1 | spl13 | spl241), inference(avatar_split_clause, [status(thm)], [p1720, sdef13, sdef241])).
% 6.88/3.21 cnf(p1723, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk2) | distinct_lines(X3,X4) | distinct_lines(X4,X0) | ~spl1), inference(resolution, [status(thm)], [p130, p125])).
% 6.88/3.21 fof(sdef242, definition, (spl242 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk2) | distinct_lines(X3,X4) | distinct_lines(X4,X0))), introduced(definition, [new_symbols(naming, [spl242])], [avatar_definition])).
% 6.88/3.21 cnf(ssp312, plain, (~spl1 | spl9 | spl242), inference(avatar_split_clause, [status(thm)], [p1723, sdef9, sdef242])).
% 6.88/3.21 cnf(p1726, plain, (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(X3,sk0) | ~spl1), inference(resolution, [status(thm)], [p130, p945])).
% 6.88/3.21 fof(sdef243, definition, (spl243 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,X0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X0,X3) | distinct_lines(X3,sk0))), introduced(definition, [new_symbols(naming, [spl243])], [avatar_definition])).
% 6.88/3.21 cnf(ssp313, plain, (~spl1 | spl13 | spl243), inference(avatar_split_clause, [status(thm)], [p1726, sdef13, sdef243])).
% 6.88/3.21 cnf(p1729, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk2) | distinct_lines(X3,X4) | distinct_lines(X0,X4) | ~spl1), inference(resolution, [status(thm)], [p130, p126])).
% 6.88/3.21 fof(sdef244, definition, (spl244 <=> (apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,X0) | distinct_points(intersection_point(sk0,sk1),X2) | distinct_points(X2,X1) | distinct_lines(X3,sk2) | distinct_lines(X3,X4) | distinct_lines(X0,X4))), introduced(definition, [new_symbols(naming, [spl244])], [avatar_definition])).
% 6.88/3.21 cnf(ssp314, plain, (~spl1 | spl9 | spl244), inference(avatar_split_clause, [status(thm)], [p1729, sdef9, sdef244])).
% 6.88/3.21 cnf(p1732, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X1,X0) | ~spl1 | ~spl123), inference(resolution, [status(thm)], [p130, p1359])).
% 6.88/3.21 fof(sdef245, definition, (spl245 <=> (apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X1,X0))), introduced(definition, [new_symbols(naming, [spl245])], [avatar_definition])).
% 6.88/3.21 cnf(ssp315, plain, (~spl1 | ~spl123 | spl10 | spl13 | spl245), inference(avatar_split_clause, [status(thm)], [p1732, sdef10, sdef13, sdef245])).
% 6.88/3.21 cnf(p1734, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | apart_point_and_line(X0,sk2) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk1),X1) | distinct_points(X1,X0) | ~spl1 | ~spl122), inference(resolution, [status(thm)], [p130, p1397])).
% 6.88/3.21 cnf(ssp316, plain, (~spl1 | ~spl122 | spl10 | spl13 | spl245), inference(avatar_split_clause, [status(thm)], [p1734, sdef10, sdef13, sdef245])).
% 6.88/3.21 cnf(p1740, plain, (distinct_points(intersection_point(sk0,sk2),intersection_point(sk2,sk1)) | convergent_lines(sk0,sk2) | ~spl13), inference(resolution, [status(thm)], [p961, p95])).
% 6.88/3.21 fof(sdef246, definition, (spl246 <=> (distinct_points(intersection_point(sk0,sk2),intersection_point(sk2,sk1)))), introduced(definition, [new_symbols(naming, [spl246])], [avatar_definition])).
% 6.88/3.21 cnf(ssp317, plain, (~spl13 | spl3 | spl246), inference(avatar_split_clause, [status(thm)], [p1740, sdef3, sdef246])).
% 6.88/3.21 cnf(p1742, plain, (distinct_lines(sk1,sk2) | distinct_points(intersection_point(sk0,sk2),intersection_point(sk2,sk0)) | ~spl13), inference(resolution, [status(thm)], [p961, p107])).
% 6.88/3.21 fof(sdef247, definition, (spl247 <=> (distinct_points(intersection_point(sk0,sk2),intersection_point(sk2,sk0)))), introduced(definition, [new_symbols(naming, [spl247])], [avatar_definition])).
% 6.88/3.21 cnf(ssp318, plain, (~spl13 | spl119 | spl247), inference(avatar_split_clause, [status(thm)], [p1742, sdef119, sdef247])).
% 6.88/3.21 cnf(p1744, plain, (distinct_points(intersection_point(sk0,sk2),intersection_point(sk1,sk2)) | convergent_lines(sk0,sk2) | ~spl13), inference(resolution, [status(thm)], [p961, p109])).
% 6.88/3.21 fof(sdef248, definition, (spl248 <=> (distinct_points(intersection_point(sk0,sk2),intersection_point(sk1,sk2)))), introduced(definition, [new_symbols(naming, [spl248])], [avatar_definition])).
% 6.88/3.21 cnf(ssp319, plain, (~spl13 | spl3 | spl248), inference(avatar_split_clause, [status(thm)], [p1744, sdef3, sdef248])).
% 6.88/3.21 cnf(p1746, plain, (distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,sk2)) | distinct_lines(sk1,sk2) | ~spl13), inference(resolution, [status(thm)], [p961, p110])).
% 6.88/3.21 cnf(ssp320, plain, (~spl13 | spl119 | spl249), inference(avatar_split_clause, [status(thm)], [p1746, sdef119, sdef249])).
% 6.88/3.21 cnf(p1748, plain, (distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,sk2)) | convergent_lines(sk2,sk1) | ~spl13), inference(resolution, [status(thm)], [p961, p114])).
% 6.88/3.21 cnf(ssp321, plain, (~spl13 | spl122 | spl249), inference(avatar_split_clause, [status(thm)], [p1748, sdef122, sdef249])).
% 6.88/3.21 cnf(p1749, plain, (distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,sk2)) | distinct_lines(sk2,sk1) | ~spl13), inference(resolution, [status(thm)], [p961, p117])).
% 6.88/3.21 cnf(ssp322, plain, (~spl13 | spl123 | spl249), inference(avatar_split_clause, [status(thm)], [p1749, sdef123, sdef249])).
% 6.88/3.21 cnf(p1750, plain, (convergent_lines(sk2,sk0) | distinct_points(intersection_point(sk0,sk2),intersection_point(sk2,sk1)) | ~spl13), inference(resolution, [status(thm)], [p961, p179])).
% 6.88/3.21 cnf(ssp323, plain, (~spl13 | spl6 | spl246), inference(avatar_split_clause, [status(thm)], [p1750, sdef6, sdef246])).
% 6.88/3.21 cnf(p1751, plain, (distinct_lines(sk2,sk1) | distinct_points(intersection_point(sk0,sk2),intersection_point(sk2,sk0)) | ~spl13), inference(resolution, [status(thm)], [p961, p183])).
% 6.88/3.21 cnf(ssp324, plain, (~spl13 | spl123 | spl247), inference(avatar_split_clause, [status(thm)], [p1751, sdef123, sdef247])).
% 6.88/3.21 cnf(p1752, plain, (distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,sk2)) | ~spl13), inference(resolution, [status(thm)], [p961, p242])).
% 6.88/3.21 cnf(ssp325, plain, (~spl13 | spl124 | spl249), inference(avatar_split_clause, [status(thm)], [p1752, sdef124, sdef249])).
% 6.88/3.21 cnf(p1754, plain, (convergent_lines(sk1,sk2) | distinct_points(intersection_point(sk0,sk2),intersection_point(sk2,sk0)) | ~spl13), inference(resolution, [status(thm)], [p961, p352])).
% 6.88/3.21 cnf(ssp326, plain, (~spl13 | spl125 | spl247), inference(avatar_split_clause, [status(thm)], [p1754, sdef125, sdef247])).
% 6.88/3.21 cnf(p1755, plain, (convergent_lines(sk2,sk0) | distinct_points(intersection_point(sk0,sk2),intersection_point(sk1,sk2)) | ~spl13), inference(resolution, [status(thm)], [p961, p355])).
% 6.88/3.21 cnf(ssp327, plain, (~spl13 | spl6 | spl248), inference(avatar_split_clause, [status(thm)], [p1755, sdef6, sdef248])).
% 6.88/3.21 cnf(p1756, plain, (distinct_lines(sk2,sk2) | distinct_points(intersection_point(sk0,sk2),intersection_point(sk2,sk0)) | ~spl13), inference(resolution, [status(thm)], [p961, p374])).
% 6.88/3.21 cnf(ssp328, plain, (~spl13 | spl124 | spl247), inference(avatar_split_clause, [status(thm)], [p1756, sdef124, sdef247])).
% 6.88/3.21 cnf(p1765, plain, (distinct_points(intersection_point(sk0,sk2),intersection_point(sk2,X0)) | convergent_lines(sk0,sk2) | convergent_lines(sk1,X0) | ~spl13), inference(resolution, [status(thm)], [p961, p93])).
% 6.88/3.21 fof(sdef250, definition, (spl250 <=> (distinct_points(intersection_point(sk0,sk2),intersection_point(sk2,X0)) | convergent_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl250])], [avatar_definition])).
% 6.88/3.21 cnf(ssp329, plain, (~spl13 | spl3 | spl250), inference(avatar_split_clause, [status(thm)], [p1765, sdef3, sdef250])).
% 6.88/3.21 cnf(p1768, plain, (distinct_lines(sk1,sk2) | convergent_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk2),intersection_point(sk2,X0)) | ~spl13), inference(resolution, [status(thm)], [p961, p105])).
% 6.88/3.21 fof(sdef251, definition, (spl251 <=> (convergent_lines(sk0,X0) | distinct_points(intersection_point(sk0,sk2),intersection_point(sk2,X0)))), introduced(definition, [new_symbols(naming, [spl251])], [avatar_definition])).
% 6.88/3.21 cnf(ssp330, plain, (~spl13 | spl119 | spl251), inference(avatar_split_clause, [status(thm)], [p1768, sdef119, sdef251])).
% 6.88/3.21 cnf(p1770, plain, (distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,sk2)) | convergent_lines(sk1,X0) | convergent_lines(sk2,X0) | ~spl13), inference(resolution, [status(thm)], [p961, p111])).
% 6.88/3.21 cnf(ssp331, plain, (~spl13 | spl128 | spl249), inference(avatar_split_clause, [status(thm)], [p1770, sdef128, sdef249])).
% 6.88/3.21 cnf(p1771, plain, (distinct_points(intersection_point(sk0,sk2),intersection_point(sk1,sk2)) | convergent_lines(sk0,X0) | convergent_lines(X0,sk2) | ~spl13), inference(resolution, [status(thm)], [p961, p112])).
% 6.88/3.21 cnf(ssp332, plain, (~spl13 | spl129 | spl248), inference(avatar_split_clause, [status(thm)], [p1771, sdef129, sdef248])).
% 6.88/3.21 cnf(p1772, plain, (distinct_points(intersection_point(sk0,sk2),intersection_point(X0,sk2)) | convergent_lines(sk0,X0) | convergent_lines(sk1,sk2) | ~spl13), inference(resolution, [status(thm)], [p961, p113])).
% 6.88/3.21 fof(sdef252, definition, (spl252 <=> (distinct_points(intersection_point(sk0,sk2),intersection_point(X0,sk2)) | convergent_lines(sk0,X0))), introduced(definition, [new_symbols(naming, [spl252])], [avatar_definition])).
% 6.88/3.21 cnf(ssp333, plain, (~spl13 | spl125 | spl252), inference(avatar_split_clause, [status(thm)], [p1772, sdef125, sdef252])).
% 6.88/3.21 cnf(p1774, plain, (distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,sk2)) | distinct_lines(sk1,X0) | convergent_lines(X0,sk2) | ~spl13), inference(resolution, [status(thm)], [p961, p118])).
% 6.88/3.21 cnf(ssp334, plain, (~spl13 | spl131 | spl249), inference(avatar_split_clause, [status(thm)], [p1774, sdef131, sdef249])).
% 6.88/3.21 cnf(p1775, plain, (distinct_points(intersection_point(sk0,sk2),intersection_point(X0,sk2)) | distinct_lines(sk1,X0) | convergent_lines(sk0,sk2) | ~spl13), inference(resolution, [status(thm)], [p961, p119])).
% 6.88/3.21 fof(sdef253, definition, (spl253 <=> (distinct_points(intersection_point(sk0,sk2),intersection_point(X0,sk2)) | distinct_lines(sk1,X0))), introduced(definition, [new_symbols(naming, [spl253])], [avatar_definition])).
% 6.88/3.21 cnf(ssp335, plain, (~spl13 | spl3 | spl253), inference(avatar_split_clause, [status(thm)], [p1775, sdef3, sdef253])).
% 6.88/3.21 cnf(p131, 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(intersection_point(sk0,sk1),X2) | distinct_points(intersection_point(sk0,sk2),X3) | ~spl1), inference(resolution, [status(thm)], [c10, p21])).
% 6.88/3.21 cnf(p1786, plain, (apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk1) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,sk1) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk2),X1) | ~spl1), inference(resolution, [status(thm)], [p131, p19])).
% 6.88/3.21 fof(sdef254, definition, (spl254 <=> (apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk1) | distinct_points(intersection_point(sk0,sk2),X0))), introduced(definition, [new_symbols(naming, [spl254])], [avatar_definition])).
% 6.88/3.21 cnf(ssp336, plain, (~spl1 | spl63 | spl254), inference(avatar_split_clause, [status(thm)], [p1786, sdef63, sdef254])).
% 6.88/3.21 cnf(p1789, plain, (apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | apart_point_and_line(X1,sk0) | apart_point_and_line(X1,sk2) | distinct_points(intersection_point(sk0,sk1),X0) | distinct_points(intersection_point(sk0,sk2),X1) | ~spl1), inference(resolution, [status(thm)], [p131, p31])).
% 6.88/3.21 fof(sdef255, definition, (spl255 <=> (apart_point_and_line(X0,sk0) | apart_point_and_line(X0,sk2) | distinct_points(intersection_point(sk0,sk2),X0))), introduced(definition, [new_symbols(naming, [spl255])], [avatar_definition])).
% 6.88/3.21 cnf(ssp337, plain, (~spl1 | spl65 | spl255), inference(avatar_split_clause, [status(thm)], [p1789, sdef65, sdef255])).
% 6.88/3.21 cnf(p139, plain, distinct_lines(X0,sk1) | distinct_lines(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X1,X2), inference(resolution, [status(thm)], [p62, c4])).
% 6.88/3.21 cnf(p2499, plain, (distinct_lines(X0,X1) | distinct_lines(sk0,X2) | distinct_lines(X1,X2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk1),sk1) | apart_point_and_line(intersection_point(sk0,sk2),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk1) | ~spl1), inference(resolution, [status(thm)], [p139, p127])).
% 6.88/3.21 cnf(ssp338, plain, (~spl1 | spl8 | spl10 | spl57), inference(avatar_split_clause, [status(thm)], [p2499, sdef8, sdef10, sdef57])).
% 6.88/3.21 cnf(p2541, plain, (distinct_lines(sk1,X0) | apart_point_and_line(intersection_point(sk0,sk1),sk2) | apart_point_and_line(intersection_point(sk0,sk1),X0) | apart_point_and_line(intersection_point(sk0,sk2),sk2) | apart_point_and_line(intersection_point(sk0,sk2),X0) | ~spl1 | ~spl123), inference(resolution, [status(thm)], [p1559, p127])).
% 6.88/3.21 cnf(ssp339, plain, (~spl1 | ~spl123 | spl12 | spl13 | spl16), inference(avatar_split_clause, [status(thm)], [p2541, sdef12, sdef13, sdef16])).
% 6.88/3.21 cnf(p956, plain, (apart_point_and_line(intersection_point(sk0,sk2),sk1) | ~spl10), inference(avatar_component_clause, [status(thm)], [sdef10])).
% 6.88/3.21 fof(f10, axiom, ! [X,Y,Z] : ( apart_point_and_line(X,Y) => ( distinct_lines(Y,Z) | apart_point_and_line(X,Z) ) ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ceq2)).
% 6.88/3.21 fof(f10_nnf, plain, ! [X,Y,Z] : ((~(apart_point_and_line(X,Y)) | (distinct_lines(Y,Z) | apart_point_and_line(X,Z)))), inference(nnf_transformation, [status(thm)], [f10])).
% 6.88/3.21 fof(f10_sk, plain, ! [X,Y,Z] : ((~(apart_point_and_line(X,Y)) | (distinct_lines(Y,Z) | apart_point_and_line(X,Z)))), inference(skolemisation, [status(esa)], [f10_nnf])).
% 6.88/3.21 cnf(c12, plain, ~apart_point_and_line(X0,X1) | distinct_lines(X1,X2) | apart_point_and_line(X0,X2), inference(cnf_transformation, [status(esa)], [f10_sk])).
% 6.88/3.21 cnf(p1333, plain, (distinct_lines(sk1,X0) | apart_point_and_line(intersection_point(sk0,sk2),X0) | ~spl10), inference(resolution, [status(thm)], [p956, c12])).
% 6.88/3.21 cnf(p2609, plain, (distinct_lines(sk1,sk2) | distinct_points(intersection_point(sk0,sk2),intersection_point(sk0,sk2)) | ~spl3 | ~spl10), inference(resolution, [status(thm)], [p1333, p239])).
% 6.88/3.21 cnf(ssp340, plain, (~spl3 | ~spl10 | spl119 | spl249), inference(avatar_split_clause, [status(thm)], [p2609, sdef119, sdef249])).
% 6.88/3.21 cnf(sat_ref, plain, $false, inference(avatar_sat_refutation, [status(thm)], [ssp0, ssp1, ssp2, ssp3, ssp4, ssp5, ssp6, ssp7, ssp8, ssp9, ssp10, ssp11, ssp12, ssp13, ssp14, ssp15, ssp16, ssp17, ssp18, ssp19, ssp20, ssp21, ssp22, ssp23, ssp24, ssp25, ssp26, ssp27, ssp28, ssp29, ssp30, ssp31, ssp32, ssp33, ssp34, ssp35, ssp36, ssp37, ssp38, ssp39, ssp40, ssp41, ssp42, ssp43, ssp44, ssp45, ssp46, ssp47, ssp48, ssp49, ssp50, ssp51, ssp52, ssp53, ssp54, ssp55, ssp56, ssp57, ssp58, ssp59, ssp60, ssp61, ssp62, ssp63, ssp64, ssp65, ssp66, ssp67, ssp68, ssp69, ssp70, ssp71, ssp72, ssp73, ssp74, ssp75, ssp76, ssp77, ssp78, ssp79, ssp80, ssp81, ssp82, ssp83, ssp84, ssp85, ssp86, ssp87, ssp88, ssp89, ssp90, ssp91, ssp92, ssp93, ssp94, ssp95, ssp96, ssp97, ssp98, ssp99, ssp100, ssp101, ssp102, ssp103, ssp104, ssp105, ssp106, ssp107, ssp108, ssp109, ssp110, ssp111, ssp112, ssp113, ssp114, ssp115, ssp116, ssp117, ssp118, ssp119, ssp120, ssp121, ssp122, ssp123, ssp124, ssp125, ssp126, ssp127, ssp128, ssp129, ssp130, ssp131, ssp132, ssp133, ssp134, ssp135, ssp136, ssp137, ssp138, ssp139, ssp140, ssp141, ssp142, ssp143, ssp144, ssp145, ssp146, ssp147, ssp148, ssp149, ssp150, ssp151, ssp152, ssp153, ssp154, ssp155, ssp156, ssp157, ssp158, ssp159, ssp160, ssp161, ssp162, ssp163, ssp164, ssp165, ssp166, ssp167, ssp168, ssp169, ssp170, ssp171, ssp172, ssp173, ssp174, ssp175, ssp176, ssp177, ssp178, ssp179, ssp180, ssp181, ssp182, ssp183, ssp184, ssp185, ssp186, ssp187, ssp188, ssp189, ssp190, ssp191, ssp192, ssp193, ssp194, ssp195, ssp196, ssp197, ssp198, ssp199, ssp200, ssp201, ssp202, ssp203, ssp204, ssp205, ssp206, ssp207, ssp208, ssp209, ssp210, ssp211, ssp212, ssp213, ssp214, ssp215, ssp216, ssp217, ssp218, ssp219, ssp220, ssp221, ssp222, ssp223, ssp224, ssp225, ssp226, ssp227, ssp228, ssp229, ssp230, ssp231, ssp232, ssp233, ssp234, ssp235, ssp236, ssp237, ssp238, ssp239, ssp240, ssp241, ssp242, ssp243, ssp244, ssp245, ssp246, ssp247, ssp248, ssp249, ssp250, ssp251, ssp252, ssp253, ssp254, ssp255, ssp256, ssp257, ssp258, ssp259, ssp260, ssp261, ssp262, ssp263, ssp264, ssp265, ssp266, ssp267, ssp268, ssp269, ssp270, ssp271, ssp272, ssp273, ssp274, ssp275, ssp276, ssp277, ssp278, ssp279, ssp280, ssp281, ssp282, ssp283, ssp284, ssp285, ssp286, ssp287, ssp288, ssp289, ssp290, ssp291, ssp292, ssp293, ssp294, ssp295, ssp296, ssp297, ssp298, ssp299, ssp300, ssp301, ssp302, ssp303, ssp304, ssp305, ssp306, ssp307, ssp308, ssp309, ssp310, ssp311, ssp312, ssp313, ssp314, ssp315, ssp316, ssp317, ssp318, ssp319, ssp320, ssp321, ssp322, ssp323, ssp324, ssp325, ssp326, ssp327, ssp328, ssp329, ssp330, ssp331, ssp332, ssp333, ssp334, ssp335, ssp336, ssp337, ssp338, ssp339, ssp340, sct0, sct1, sct2, sct3, sct4, sct5, sct6, sct7, sct8, sct9, sct10, sct11, sct12, sct13, sct14, sct15, sct16])).
% 6.88/3.21 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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