0.00/0.10	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.10	This is a  problem
0.09/0.10	% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 240 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.09/0.30	% Computer : n021.cluster.edu
0.09/0.30	% Model    : x86_64 x86_64
0.09/0.30	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.30	% Memory   : 8042.1875MB
0.09/0.30	% OS       : Linux 3.10.0-693.el7.x86_64
0.09/0.30	% CPULimit : 1920
0.09/0.30	% WCLimit  : 240
0.09/0.30	% DateTime : Wed Jul 30 02:01:04 EDT 2025
0.09/0.30	% CPUTime  : 
3.51/3.70	% SZS status Theorem for theBenchmark
3.51/3.70	% SZS output start Proof for theBenchmark
3.51/3.70	
3.51/3.70	% Formula: oag11 ( axiom ) converted to clauses:
3.51/3.70	cnf(oag11-1, axiom, ( ~left_convergent_lines(_u4, _u2) )).
3.51/3.70	cnf(oag11-2, axiom, ( ~left_convergent_lines(_u5, reverse_line(_u3)) )).
3.51/3.70	
3.51/3.70	% Formula: oagco7 ( axiom ) converted to clauses:
3.51/3.70	cnf(oagco7-1, axiom, ( ~apart_point_and_line(_u7, parallel_through_point(_u6, _u7)) )).
3.51/3.70	
3.51/3.70	% Formula: oag8 ( axiom ) converted to clauses:
3.51/3.70	cnf(oag8-1, axiom, ( ~line(_u9) | ~line(_u8) | unequally_directed_lines(_u9, _u8) | unequally_directed_lines(_u9, reverse_line(_u8)) )).
3.51/3.70	
3.51/3.70	% Formula: oagco5 ( axiom ) converted to clauses:
3.51/3.70	cnf(oagco5-1, axiom, ( ~distinct_points(_u11, _u10) | ~apart_point_and_line(_u11, line_connecting(_u11, _u10)) )).
3.51/3.70	cnf(oagco5-2, axiom, ( ~distinct_points(_u11, _u10) | ~apart_point_and_line(_u10, line_connecting(_u11, _u10)) )).
3.51/3.70	
3.51/3.70	% Formula: bet_def ( axiom ) converted to clauses:
3.51/3.70	cnf(bet_def-1, axiom, ( ~between_on_line(_u22, _u20, _u18, _u16) | before_on_line(_u22, _u18, _u16) | before_on_line(_u22, _u16, _u18) )).
3.51/3.70	cnf(bet_def-2, axiom, ( ~between_on_line(_u22, _u20, _u18, _u16) | before_on_line(_u22, _u18, _u16) | before_on_line(_u22, _u18, _u20) )).
3.51/3.70	cnf(bet_def-3, axiom, ( ~between_on_line(_u22, _u20, _u18, _u16) | before_on_line(_u22, _u20, _u18) | before_on_line(_u22, _u16, _u18) )).
3.51/3.70	cnf(bet_def-4, axiom, ( ~between_on_line(_u22, _u20, _u18, _u16) | before_on_line(_u22, _u20, _u18) | before_on_line(_u22, _u18, _u20) )).
3.51/3.70	cnf(bet_def-5, axiom, ( between_on_line(_u23, _u21, _u19, _u17) | ~before_on_line(_u23, _u19, _u17) | ~before_on_line(_u23, _u21, _u19) )).
3.51/3.70	cnf(bet_def-6, axiom, ( between_on_line(_u23, _u21, _u19, _u17) | ~before_on_line(_u23, _u17, _u19) | ~before_on_line(_u23, _u19, _u21) )).
3.51/3.70	
3.51/3.70	% Formula: oag6 ( axiom ) converted to clauses:
3.51/3.70	cnf(oag6-1, axiom, ( ~unequally_directed_lines(_u26, _u25) | unequally_directed_lines(_u26, _u24) | unequally_directed_lines(_u25, _u24) )).
3.51/3.70	
3.51/3.70	% Formula: oagsub3 ( axiom ) converted to clauses:
3.51/3.70	cnf(oagsub3-1, axiom, ( ~left_convergent_lines(_u29, _u28) | left_convergent_lines(_u29, _u27) | unequally_directed_lines(_u28, _u27) )).
3.51/3.70	
3.51/3.70	% Formula: oag7 ( axiom ) converted to clauses:
3.51/3.70	cnf(oag7-1, axiom, ( ~unequally_directed_lines(_u32, reverse_line(_u31)) | ~unequally_directed_lines(_u32, _u31) | unequally_directed_lines(_u31, reverse_line(_u30)) | unequally_directed_lines(_u32, _u30) )).
3.51/3.70	cnf(oag7-2, axiom, ( ~unequally_directed_lines(_u32, reverse_line(_u31)) | ~unequally_directed_lines(_u32, _u31) | unequally_directed_lines(_u31, reverse_line(_u30)) | unequally_directed_lines(_u32, reverse_line(_u30)) )).
3.51/3.70	cnf(oag7-3, axiom, ( ~unequally_directed_lines(_u32, reverse_line(_u31)) | ~unequally_directed_lines(_u32, _u31) | unequally_directed_lines(_u31, _u30) | unequally_directed_lines(_u32, _u30) )).
3.51/3.70	cnf(oag7-4, axiom, ( ~unequally_directed_lines(_u32, reverse_line(_u31)) | ~unequally_directed_lines(_u32, _u31) | unequally_directed_lines(_u31, _u30) | unequally_directed_lines(_u32, reverse_line(_u30)) )).
3.51/3.70	
3.51/3.70	% Formula: oaguc1 ( axiom ) converted to clauses:
3.51/3.70	cnf(oaguc1-1, axiom, ( ~distinct_points(_u36, _u35) | ~distinct_lines(_u34, _u33) | left_apart_point(_u36, _u34) | left_apart_point(_u36, _u33) | left_apart_point(_u35, reverse_line(_u34)) | left_apart_point(_u35, reverse_line(_u33)) | left_apart_point(_u36, reverse_line(_u33)) | left_apart_point(_u36, reverse_line(_u34)) | left_apart_point(_u35, _u33) | left_apart_point(_u35, _u34) )).
3.51/3.70	
3.51/3.70	% Formula: oag4 ( axiom ) converted to clauses:
3.51/3.70	cnf(oag4-1, axiom, ( ~distinct_lines(_u39, _u38) | distinct_lines(_u38, _u37) | distinct_lines(_u39, _u37) )).
3.51/3.70	
3.51/3.70	% Formula: oagco3 ( axiom ) converted to clauses:
3.51/3.70	cnf(oagco3-1, axiom, ( ~point(_u40) | ~line(_u41) | line(parallel_through_point(_u41, _u40)) )).
3.51/3.70	
3.51/3.70	% Formula: div_def ( axiom ) converted to clauses:
3.51/3.70	cnf(div_def-1, axiom, ( divides_points(_u45, _u49, _u47) | ~left_apart_point(_u47, reverse_line(_u45)) | ~left_apart_point(_u49, _u45) )).
3.51/3.70	cnf(div_def-2, axiom, ( divides_points(_u45, _u49, _u47) | ~left_apart_point(_u49, reverse_line(_u45)) | ~left_apart_point(_u47, _u45) )).
3.51/3.70	cnf(div_def-3, axiom, ( ~divides_points(_u46, _u50, _u48) | left_apart_point(_u48, reverse_line(_u46)) | left_apart_point(_u50, reverse_line(_u46)) )).
3.51/3.70	cnf(div_def-4, axiom, ( ~divides_points(_u46, _u50, _u48) | left_apart_point(_u48, reverse_line(_u46)) | left_apart_point(_u48, _u46) )).
3.51/3.70	cnf(div_def-5, axiom, ( ~divides_points(_u46, _u50, _u48) | left_apart_point(_u50, _u46) | left_apart_point(_u50, reverse_line(_u46)) )).
3.51/3.70	cnf(div_def-6, axiom, ( ~divides_points(_u46, _u50, _u48) | left_apart_point(_u50, _u46) | left_apart_point(_u48, _u46) )).
3.51/3.70	
3.51/3.70	% Formula: oag1 ( axiom ) converted to clauses:
3.51/3.70	cnf(oag1-1, axiom, ( ~distinct_points(_u51, _u51) )).
3.51/3.70	
3.51/3.70	% Formula: con_def ( axiom ) converted to clauses:
3.51/3.70	cnf(con_def-1, axiom, ( ~unequally_directed_lines(_u56, _u54) | ~unequally_directed_lines(_u56, reverse_line(_u54)) | convergent_lines(_u56, _u54) )).
3.51/3.70	cnf(con_def-2, axiom, ( ~convergent_lines(_u57, _u55) | unequally_directed_lines(_u57, _u55) )).
3.51/3.70	cnf(con_def-3, axiom, ( ~convergent_lines(_u57, _u55) | unequally_directed_lines(_u57, reverse_line(_u55)) )).
3.51/3.70	
3.51/3.70	% Formula: oagsub2 ( axiom ) converted to clauses:
3.51/3.70	cnf(oagsub2-1, axiom, ( ~unequally_directed_lines(_u59, _u58) | ~left_apart_point(_u60, _u59) | distinct_lines(_u59, _u58) | left_apart_point(_u60, reverse_line(_u58)) )).
3.51/3.70	
3.51/3.70	% Formula: oagco10 ( axiom ) converted to clauses:
3.51/3.70	cnf(oagco10-1, axiom, ( ~unequally_directed_lines(parallel_through_point(_u61, _u62), _u61) )).
3.51/3.70	
3.51/3.70	% Formula: oag2 ( axiom ) converted to clauses:
3.51/3.70	cnf(oag2-1, axiom, ( ~distinct_points(_u65, _u64) | distinct_points(_u65, _u63) | distinct_points(_u64, _u63) )).
3.51/3.70	
3.51/3.70	% Formula: oagco9 ( axiom ) converted to clauses:
3.51/3.70	cnf(oagco9-1, axiom, ( ~unequally_directed_lines(line_connecting(_u67, _u66), reverse_line(line_connecting(_u66, _u67))) )).
3.51/3.70	
3.51/3.70	% Formula: oag10 ( axiom ) converted to clauses:
3.51/3.70	cnf(oag10-1, axiom, ( ~left_apart_point(_u72, _u70) )).
3.51/3.70	cnf(oag10-2, axiom, ( ~left_apart_point(_u73, reverse_line(_u71)) )).
3.51/3.70	
3.51/3.70	% Formula: bf_def ( axiom ) converted to clauses:
3.51/3.70	cnf(bf_def-1, axiom, ( ~distinct_points(_u79, _u77) | left_apart_point(_u77, reverse_line(_u81)) | left_apart_point(_u77, _u81) | unequally_directed_lines(_u81, line_connecting(_u79, _u77)) | left_apart_point(_u79, _u81) | left_apart_point(_u79, reverse_line(_u81)) | before_on_line(_u81, _u79, _u77) )).
3.51/3.70	cnf(bf_def-2, axiom, ( ~before_on_line(_u82, _u80, _u78) | distinct_points(_u80, _u78) )).
3.51/3.70	cnf(bf_def-3, axiom, ( ~before_on_line(_u82, _u80, _u78) | ~left_apart_point(_u78, reverse_line(_u82)) )).
3.51/3.70	cnf(bf_def-4, axiom, ( ~before_on_line(_u82, _u80, _u78) | ~left_apart_point(_u78, _u82) )).
3.51/3.70	cnf(bf_def-5, axiom, ( ~before_on_line(_u82, _u80, _u78) | ~unequally_directed_lines(_u82, line_connecting(_u80, _u78)) )).
3.51/3.70	cnf(bf_def-6, axiom, ( ~before_on_line(_u82, _u80, _u78) | ~left_apart_point(_u80, _u82) )).
3.51/3.70	cnf(bf_def-7, axiom, ( ~before_on_line(_u82, _u80, _u78) | ~left_apart_point(_u80, reverse_line(_u82)) )).
3.51/3.70	
3.51/3.70	% Formula: oagco4 ( axiom ) converted to clauses:
3.51/3.70	cnf(oagco4-1, axiom, ( ~line(_u83) | line(reverse_line(_u83)) )).
3.51/3.70	
3.51/3.70	% Formula: oag5 ( axiom ) converted to clauses:
3.51/3.70	cnf(oag5-1, axiom, ( ~unequally_directed_lines(_u84, _u84) )).
3.51/3.70	
3.51/3.70	% Formula: oagco2 ( axiom ) converted to clauses:
3.51/3.70	cnf(oagco2-1, axiom, ( ~line(_u86) | ~unequally_directed_lines(_u86, reverse_line(_u85)) | ~unequally_directed_lines(_u86, _u85) | ~line(_u85) | point(intersection_point(_u86, _u85)) )).
3.51/3.70	
3.51/3.70	% Formula: oag9 ( axiom ) converted to clauses:
3.51/3.70	cnf(oag9-1, axiom, ( ~unequally_directed_lines(_u88, reverse_line(_u87)) | ~unequally_directed_lines(_u88, _u87) | left_convergent_lines(_u88, _u87) | left_convergent_lines(_u88, reverse_line(_u87)) )).
3.51/3.70	
3.51/3.70	% Formula: oag3 ( axiom ) converted to clauses:
3.51/3.70	cnf(oag3-1, axiom, ( ~distinct_lines(_u89, _u89) )).
3.51/3.70	
3.51/3.70	% Formula: apt_def ( axiom ) converted to clauses:
3.51/3.70	cnf(apt_def-1, axiom, ( apart_point_and_line(_u94, _u92) | ~left_apart_point(_u94, reverse_line(_u92)) )).
3.51/3.70	cnf(apt_def-2, axiom, ( apart_point_and_line(_u94, _u92) | ~left_apart_point(_u94, _u92) )).
3.51/3.70	cnf(apt_def-3, axiom, ( ~apart_point_and_line(_u95, _u93) | left_apart_point(_u95, reverse_line(_u93)) | left_apart_point(_u95, _u93) )).
3.51/3.70	
3.51/3.70	% Formula: oagsub1 ( axiom ) converted to clauses:
3.51/3.70	cnf(oagsub1-1, axiom, ( ~left_apart_point(_u98, _u96) | distinct_points(_u98, _u97) | left_apart_point(_u97, _u96) )).
3.51/3.70	
3.51/3.70	% Formula: oagco1 ( axiom ) converted to clauses:
3.51/3.70	cnf(oagco1-1, axiom, ( ~point(_u99) | ~distinct_points(_u100, _u99) | ~point(_u100) | line(line_connecting(_u100, _u99)) )).
3.51/3.70	
3.51/3.70	% Formula: oagco6 ( axiom ) converted to clauses:
3.51/3.70	cnf(oagco6-1, axiom, ( ~unequally_directed_lines(_u102, _u101) | ~unequally_directed_lines(_u102, reverse_line(_u101)) | ~apart_point_and_line(intersection_point(_u102, _u101), _u102) )).
3.51/3.70	cnf(oagco6-2, axiom, ( ~unequally_directed_lines(_u102, _u101) | ~unequally_directed_lines(_u102, reverse_line(_u101)) | ~apart_point_and_line(intersection_point(_u102, _u101), _u101) )).
3.51/3.70	
3.51/3.70	% Formula: oaguc2 ( axiom ) converted to clauses:
3.51/3.70	cnf(oaguc2-1, axiom, ( ~left_apart_point(_u105, _u103) | ~distinct_points(_u105, _u104) | left_convergent_lines(line_connecting(_u105, _u104), _u103) | left_apart_point(_u104, _u103) )).
3.51/3.70	
3.51/3.70	% Formula: oagco8 ( axiom ) converted to clauses:
3.51/3.70	cnf(oagco8-1, axiom, ( ~distinct_lines(_u106, reverse_line(_u106)) )).
3.51/3.70	
3.51/3.70	% Formula: con ( conjecture ) (definitionally) converted to clauses:
3.51/3.70	cnf(con-1, negated_conjecture, ( distinct_points(skolem2, skolem3) )).
3.51/3.70	cnf(con-2, negated_conjecture, ( distinct_points(skolem3, skolem4) )).
3.51/3.70	cnf(con-3, negated_conjecture, ( distinct_points(skolem2, skolem4) )).
3.51/3.70	cnf(con-4, negated_conjecture, ( line(skolem1) )).
3.51/3.70	cnf(con-5, negated_conjecture, ( between_on_line(skolem1, skolem3, skolem2, skolem4) )).
3.51/3.70	cnf(con-6, negated_conjecture, ( between_on_line(skolem1, skolem2, skolem3, skolem4) )).
3.51/3.70	
3.51/3.70	% Problem matrix:
3.51/3.70	cnf(matrix-0, plain, ( ~left_convergent_lines(_u4, _u2) )).
3.51/3.70	cnf(matrix-1, plain, ( ~left_convergent_lines(_u5, reverse_line(_u3)) )).
3.51/3.70	cnf(matrix-2, plain, ( ~apart_point_and_line(_u7, parallel_through_point(_u6, _u7)) )).
3.51/3.70	cnf(matrix-3, plain, ( ~line(_u9) | ~line(_u8) | unequally_directed_lines(_u9, _u8) | unequally_directed_lines(_u9, reverse_line(_u8)) )).
3.51/3.70	cnf(matrix-4, plain, ( ~distinct_points(_u11, _u10) | ~apart_point_and_line(_u11, line_connecting(_u11, _u10)) )).
3.51/3.70	cnf(matrix-5, plain, ( ~distinct_points(_u11, _u10) | ~apart_point_and_line(_u10, line_connecting(_u11, _u10)) )).
3.51/3.70	cnf(matrix-6, plain, ( ~between_on_line(_u22, _u20, _u18, _u16) | before_on_line(_u22, _u18, _u16) | before_on_line(_u22, _u16, _u18) )).
3.51/3.70	cnf(matrix-7, plain, ( ~between_on_line(_u22, _u20, _u18, _u16) | before_on_line(_u22, _u18, _u16) | before_on_line(_u22, _u18, _u20) )).
3.51/3.70	cnf(matrix-8, plain, ( ~between_on_line(_u22, _u20, _u18, _u16) | before_on_line(_u22, _u20, _u18) | before_on_line(_u22, _u16, _u18) )).
3.51/3.70	cnf(matrix-9, plain, ( ~between_on_line(_u22, _u20, _u18, _u16) | before_on_line(_u22, _u20, _u18) | before_on_line(_u22, _u18, _u20) )).
3.51/3.70	cnf(matrix-10, plain, ( between_on_line(_u23, _u21, _u19, _u17) | ~before_on_line(_u23, _u19, _u17) | ~before_on_line(_u23, _u21, _u19) )).
3.51/3.70	cnf(matrix-11, plain, ( between_on_line(_u23, _u21, _u19, _u17) | ~before_on_line(_u23, _u17, _u19) | ~before_on_line(_u23, _u19, _u21) )).
3.51/3.70	cnf(matrix-12, plain, ( ~unequally_directed_lines(_u26, _u25) | unequally_directed_lines(_u26, _u24) | unequally_directed_lines(_u25, _u24) )).
3.51/3.70	cnf(matrix-13, plain, ( ~left_convergent_lines(_u29, _u28) | left_convergent_lines(_u29, _u27) | unequally_directed_lines(_u28, _u27) )).
3.51/3.70	cnf(matrix-14, plain, ( ~unequally_directed_lines(_u32, reverse_line(_u31)) | ~unequally_directed_lines(_u32, _u31) | unequally_directed_lines(_u31, reverse_line(_u30)) | unequally_directed_lines(_u32, _u30) )).
3.51/3.70	cnf(matrix-15, plain, ( ~unequally_directed_lines(_u32, reverse_line(_u31)) | ~unequally_directed_lines(_u32, _u31) | unequally_directed_lines(_u31, reverse_line(_u30)) | unequally_directed_lines(_u32, reverse_line(_u30)) )).
3.51/3.70	cnf(matrix-16, plain, ( ~unequally_directed_lines(_u32, reverse_line(_u31)) | ~unequally_directed_lines(_u32, _u31) | unequally_directed_lines(_u31, _u30) | unequally_directed_lines(_u32, _u30) )).
3.51/3.70	cnf(matrix-17, plain, ( ~unequally_directed_lines(_u32, reverse_line(_u31)) | ~unequally_directed_lines(_u32, _u31) | unequally_directed_lines(_u31, _u30) | unequally_directed_lines(_u32, reverse_line(_u30)) )).
3.51/3.70	cnf(matrix-18, plain, ( ~distinct_points(_u36, _u35) | ~distinct_lines(_u34, _u33) | left_apart_point(_u36, _u34) | left_apart_point(_u36, _u33) | left_apart_point(_u35, reverse_line(_u34)) | left_apart_point(_u35, reverse_line(_u33)) | left_apart_point(_u36, reverse_line(_u33)) | left_apart_point(_u36, reverse_line(_u34)) | left_apart_point(_u35, _u33) | left_apart_point(_u35, _u34) )).
3.51/3.70	cnf(matrix-19, plain, ( ~distinct_lines(_u39, _u38) | distinct_lines(_u38, _u37) | distinct_lines(_u39, _u37) )).
3.51/3.70	cnf(matrix-20, plain, ( ~point(_u40) | ~line(_u41) | line(parallel_through_point(_u41, _u40)) )).
3.51/3.70	cnf(matrix-21, plain, ( divides_points(_u45, _u49, _u47) | ~left_apart_point(_u47, reverse_line(_u45)) | ~left_apart_point(_u49, _u45) )).
3.51/3.70	cnf(matrix-22, plain, ( divides_points(_u45, _u49, _u47) | ~left_apart_point(_u49, reverse_line(_u45)) | ~left_apart_point(_u47, _u45) )).
3.51/3.70	cnf(matrix-23, plain, ( ~divides_points(_u46, _u50, _u48) | left_apart_point(_u48, reverse_line(_u46)) | left_apart_point(_u50, reverse_line(_u46)) )).
3.51/3.70	cnf(matrix-24, plain, ( ~divides_points(_u46, _u50, _u48) | left_apart_point(_u48, reverse_line(_u46)) | left_apart_point(_u48, _u46) )).
3.51/3.70	cnf(matrix-25, plain, ( ~divides_points(_u46, _u50, _u48) | left_apart_point(_u50, _u46) | left_apart_point(_u50, reverse_line(_u46)) )).
3.51/3.70	cnf(matrix-26, plain, ( ~divides_points(_u46, _u50, _u48) | left_apart_point(_u50, _u46) | left_apart_point(_u48, _u46) )).
3.51/3.70	cnf(matrix-27, plain, ( ~distinct_points(_u51, _u51) )).
3.51/3.70	cnf(matrix-28, plain, ( ~unequally_directed_lines(_u56, _u54) | ~unequally_directed_lines(_u56, reverse_line(_u54)) | convergent_lines(_u56, _u54) )).
3.51/3.70	cnf(matrix-29, plain, ( ~convergent_lines(_u57, _u55) | unequally_directed_lines(_u57, _u55) )).
3.51/3.70	cnf(matrix-30, plain, ( ~convergent_lines(_u57, _u55) | unequally_directed_lines(_u57, reverse_line(_u55)) )).
3.51/3.70	cnf(matrix-31, plain, ( ~unequally_directed_lines(_u59, _u58) | ~left_apart_point(_u60, _u59) | distinct_lines(_u59, _u58) | left_apart_point(_u60, reverse_line(_u58)) )).
3.51/3.70	cnf(matrix-32, plain, ( ~unequally_directed_lines(parallel_through_point(_u61, _u62), _u61) )).
3.51/3.70	cnf(matrix-33, plain, ( ~distinct_points(_u65, _u64) | distinct_points(_u65, _u63) | distinct_points(_u64, _u63) )).
3.51/3.70	cnf(matrix-34, plain, ( ~unequally_directed_lines(line_connecting(_u67, _u66), reverse_line(line_connecting(_u66, _u67))) )).
3.51/3.70	cnf(matrix-35, plain, ( ~left_apart_point(_u72, _u70) )).
3.51/3.70	cnf(matrix-36, plain, ( ~left_apart_point(_u73, reverse_line(_u71)) )).
3.51/3.70	cnf(matrix-37, plain, ( ~distinct_points(_u79, _u77) | left_apart_point(_u77, reverse_line(_u81)) | left_apart_point(_u77, _u81) | unequally_directed_lines(_u81, line_connecting(_u79, _u77)) | left_apart_point(_u79, _u81) | left_apart_point(_u79, reverse_line(_u81)) | before_on_line(_u81, _u79, _u77) )).
3.51/3.70	cnf(matrix-38, plain, ( ~before_on_line(_u82, _u80, _u78) | distinct_points(_u80, _u78) )).
3.51/3.70	cnf(matrix-39, plain, ( ~before_on_line(_u82, _u80, _u78) | ~left_apart_point(_u78, reverse_line(_u82)) )).
3.51/3.70	cnf(matrix-40, plain, ( ~before_on_line(_u82, _u80, _u78) | ~left_apart_point(_u78, _u82) )).
3.51/3.70	cnf(matrix-41, plain, ( ~before_on_line(_u82, _u80, _u78) | ~unequally_directed_lines(_u82, line_connecting(_u80, _u78)) )).
3.51/3.70	cnf(matrix-42, plain, ( ~before_on_line(_u82, _u80, _u78) | ~left_apart_point(_u80, _u82) )).
3.51/3.70	cnf(matrix-43, plain, ( ~before_on_line(_u82, _u80, _u78) | ~left_apart_point(_u80, reverse_line(_u82)) )).
3.51/3.70	cnf(matrix-44, plain, ( ~line(_u83) | line(reverse_line(_u83)) )).
3.51/3.70	cnf(matrix-45, plain, ( ~unequally_directed_lines(_u84, _u84) )).
3.51/3.70	cnf(matrix-46, plain, ( ~line(_u86) | ~unequally_directed_lines(_u86, reverse_line(_u85)) | ~unequally_directed_lines(_u86, _u85) | ~line(_u85) | point(intersection_point(_u86, _u85)) )).
3.51/3.70	cnf(matrix-47, plain, ( ~unequally_directed_lines(_u88, reverse_line(_u87)) | ~unequally_directed_lines(_u88, _u87) | left_convergent_lines(_u88, _u87) | left_convergent_lines(_u88, reverse_line(_u87)) )).
3.51/3.70	cnf(matrix-48, plain, ( ~distinct_lines(_u89, _u89) )).
3.51/3.70	cnf(matrix-49, plain, ( apart_point_and_line(_u94, _u92) | ~left_apart_point(_u94, reverse_line(_u92)) )).
3.51/3.70	cnf(matrix-50, plain, ( apart_point_and_line(_u94, _u92) | ~left_apart_point(_u94, _u92) )).
3.51/3.70	cnf(matrix-51, plain, ( ~apart_point_and_line(_u95, _u93) | left_apart_point(_u95, reverse_line(_u93)) | left_apart_point(_u95, _u93) )).
3.51/3.70	cnf(matrix-52, plain, ( ~left_apart_point(_u98, _u96) | distinct_points(_u98, _u97) | left_apart_point(_u97, _u96) )).
3.51/3.70	cnf(matrix-53, plain, ( ~point(_u99) | ~distinct_points(_u100, _u99) | ~point(_u100) | line(line_connecting(_u100, _u99)) )).
3.51/3.70	cnf(matrix-54, plain, ( ~unequally_directed_lines(_u102, _u101) | ~unequally_directed_lines(_u102, reverse_line(_u101)) | ~apart_point_and_line(intersection_point(_u102, _u101), _u102) )).
3.51/3.70	cnf(matrix-55, plain, ( ~unequally_directed_lines(_u102, _u101) | ~unequally_directed_lines(_u102, reverse_line(_u101)) | ~apart_point_and_line(intersection_point(_u102, _u101), _u101) )).
3.51/3.70	cnf(matrix-56, plain, ( ~left_apart_point(_u105, _u103) | ~distinct_points(_u105, _u104) | left_convergent_lines(line_connecting(_u105, _u104), _u103) | left_apart_point(_u104, _u103) )).
3.51/3.70	cnf(matrix-57, plain, ( ~distinct_lines(_u106, reverse_line(_u106)) )).
3.51/3.70	cnf(matrix-58, plain, ( distinct_points(skolem2, skolem3) )).
3.51/3.70	cnf(matrix-59, plain, ( distinct_points(skolem3, skolem4) )).
3.51/3.70	cnf(matrix-60, plain, ( distinct_points(skolem2, skolem4) )).
3.51/3.70	cnf(matrix-61, plain, ( line(skolem1) )).
3.51/3.70	cnf(matrix-62, plain, ( between_on_line(skolem1, skolem3, skolem2, skolem4) )).
3.51/3.70	cnf(matrix-63, plain, ( between_on_line(skolem1, skolem2, skolem3, skolem4) )).
3.51/3.70	
3.51/3.70	% Proof stack:
3.51/3.70	cnf(proof-stack, plain, 
3.51/3.70	proof_stack(
3.51/3.70	start(34), 
3.51/3.70	left_branch(0, 12, 2, 2), 
3.51/3.70	left_branch(0, 12, 2, 3), 
3.51/3.70	left_branch(0, 15, 2, 4), 
3.51/3.70	left_branch(0, 3, 3, 5), 
3.51/3.70	left_branch(0, 61, 0, 6), 
3.51/3.70	right_branch(6), 
3.51/3.70	left_branch(0, 45, 0, 7), 
3.51/3.70	right_branch(7), 
3.51/3.70	lemmata(0, 0), 
3.51/3.70	right_branch(5), 
3.51/3.70	reduction(0, 2), 
3.51/3.70	left_branch(0, 3, 2, 7), 
3.51/3.70	left_branch(0, 61, 0, 8), 
3.51/3.70	right_branch(8), 
3.51/3.70	reduction(0, 2), 
3.51/3.70	lemmata(0, 2), 
3.51/3.70	right_branch(7), 
3.51/3.70	right_branch(4), 
3.51/3.70	left_branch(0, 47, 1, 5), 
3.51/3.70	left_branch(0, 12, 1, 6), 
3.51/3.70	reduction(0, 2), 
3.51/3.70	reduction(0, 0), 
3.51/3.70	right_branch(6), 
3.51/3.70	left_branch(0, 13, 0, 7), 
3.51/3.70	reduction(0, 0), 
3.51/3.70	left_branch(0, 1, 0, 9), 
3.51/3.70	right_branch(9), 
3.51/3.70	right_branch(7), 
3.51/3.70	left_branch(0, 1, 0, 8), 
3.51/3.70	right_branch(8), 
3.51/3.70	right_branch(5), 
3.51/3.70	right_branch(3), 
3.51/3.70	left_branch(0, 47, 1, 4), 
3.51/3.70	left_branch(0, 17, 3, 5), 
3.51/3.70	reduction(0, 1), 
3.51/3.70	reduction(0, 0), 
3.51/3.70	lemmata(0, 0), 
3.51/3.70	right_branch(5), 
3.51/3.70	left_branch(0, 1, 0, 6), 
3.51/3.70	right_branch(6), 
3.51/3.70	left_branch(0, 1, 0, 7), 
3.51/3.70	right_branch(7), 
3.51/3.70	right_branch(4), 
3.51/3.70	right_branch(2)
3.51/3.70	)).
3.51/3.70	% SZS output end Proof for theBenchmark
3.51/3.71	EOF