TSTP Solution File: GEO354+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO354+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 06:00:13 EDT 2022
% Result : Satisfiable 0.50s 0.67s
% Output : Saturation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO354+1 : TPTP v8.1.0. Released v6.4.0.
% 0.04/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 16:27:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.50/0.67 # Version: 1.3
% 0.50/0.67 # SZS status Satisfiable
% 0.50/0.67 # SZS output start Saturation
% 0.50/0.67 fof(bf_def,axiom,(![L]:(![A]:(![B]:(before_on_line(L,A,B)<=>(((distinct_points(A,B)&(~(left_apart_point(A,L)|left_apart_point(A,reverse_line(L)))))&(~(left_apart_point(B,L)|left_apart_point(B,reverse_line(L)))))&(~unequally_directed_lines(L,line_connecting(A,B)))))))),input).
% 0.50/0.67 fof(c151,axiom,(![L]:(![A]:(![B]:(before_on_line(L,A,B)<=>(((distinct_points(A,B)&(~(left_apart_point(A,L)|left_apart_point(A,reverse_line(L)))))&(~(left_apart_point(B,L)|left_apart_point(B,reverse_line(L)))))&~unequally_directed_lines(L,line_connecting(A,B))))))),inference(fof_simplification,status(thm),[bf_def])).
% 0.50/0.67 fof(c152,axiom,(![L]:(![A]:(![B]:((~before_on_line(L,A,B)|(((distinct_points(A,B)&(~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L))))&(~left_apart_point(B,L)&~left_apart_point(B,reverse_line(L))))&~unequally_directed_lines(L,line_connecting(A,B))))&((((~distinct_points(A,B)|(left_apart_point(A,L)|left_apart_point(A,reverse_line(L))))|(left_apart_point(B,L)|left_apart_point(B,reverse_line(L))))|unequally_directed_lines(L,line_connecting(A,B)))|before_on_line(L,A,B)))))),inference(fof_nnf,status(thm),[c151])).
% 0.50/0.67 fof(c153,axiom,((![L]:(![A]:(![B]:(~before_on_line(L,A,B)|(((distinct_points(A,B)&(~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L))))&(~left_apart_point(B,L)&~left_apart_point(B,reverse_line(L))))&~unequally_directed_lines(L,line_connecting(A,B)))))))&(![L]:(![A]:(![B]:((((~distinct_points(A,B)|(left_apart_point(A,L)|left_apart_point(A,reverse_line(L))))|(left_apart_point(B,L)|left_apart_point(B,reverse_line(L))))|unequally_directed_lines(L,line_connecting(A,B)))|before_on_line(L,A,B)))))),inference(shift_quantors,status(thm),[c152])).
% 0.50/0.67 fof(c155,axiom,(![X89]:(![X90]:(![X91]:(![X92]:(![X93]:(![X94]:((~before_on_line(X89,X90,X91)|(((distinct_points(X90,X91)&(~left_apart_point(X90,X89)&~left_apart_point(X90,reverse_line(X89))))&(~left_apart_point(X91,X89)&~left_apart_point(X91,reverse_line(X89))))&~unequally_directed_lines(X89,line_connecting(X90,X91))))&((((~distinct_points(X93,X94)|(left_apart_point(X93,X92)|left_apart_point(X93,reverse_line(X92))))|(left_apart_point(X94,X92)|left_apart_point(X94,reverse_line(X92))))|unequally_directed_lines(X92,line_connecting(X93,X94)))|before_on_line(X92,X93,X94))))))))),inference(shift_quantors,status(thm),[fof(c154,axiom,((![X89]:(![X90]:(![X91]:(~before_on_line(X89,X90,X91)|(((distinct_points(X90,X91)&(~left_apart_point(X90,X89)&~left_apart_point(X90,reverse_line(X89))))&(~left_apart_point(X91,X89)&~left_apart_point(X91,reverse_line(X89))))&~unequally_directed_lines(X89,line_connecting(X90,X91)))))))&(![X92]:(![X93]:(![X94]:((((~distinct_points(X93,X94)|(left_apart_point(X93,X92)|left_apart_point(X93,reverse_line(X92))))|(left_apart_point(X94,X92)|left_apart_point(X94,reverse_line(X92))))|unequally_directed_lines(X92,line_connecting(X93,X94)))|before_on_line(X92,X93,X94)))))),inference(variable_rename,status(thm),[c153])).])).
% 0.50/0.67 fof(c156,axiom,(![X89]:(![X90]:(![X91]:(![X92]:(![X93]:(![X94]:(((((~before_on_line(X89,X90,X91)|distinct_points(X90,X91))&((~before_on_line(X89,X90,X91)|~left_apart_point(X90,X89))&(~before_on_line(X89,X90,X91)|~left_apart_point(X90,reverse_line(X89)))))&((~before_on_line(X89,X90,X91)|~left_apart_point(X91,X89))&(~before_on_line(X89,X90,X91)|~left_apart_point(X91,reverse_line(X89)))))&(~before_on_line(X89,X90,X91)|~unequally_directed_lines(X89,line_connecting(X90,X91))))&((((~distinct_points(X93,X94)|(left_apart_point(X93,X92)|left_apart_point(X93,reverse_line(X92))))|(left_apart_point(X94,X92)|left_apart_point(X94,reverse_line(X92))))|unequally_directed_lines(X92,line_connecting(X93,X94)))|before_on_line(X92,X93,X94))))))))),inference(distribute,status(thm),[c155])).
% 0.50/0.67 cnf(c163,axiom,~distinct_points(X286,X288)|left_apart_point(X286,X287)|left_apart_point(X286,reverse_line(X287))|left_apart_point(X288,X287)|left_apart_point(X288,reverse_line(X287))|unequally_directed_lines(X287,line_connecting(X286,X288))|before_on_line(X287,X286,X288),inference(split_conjunct,status(thm),[c156])).
% 0.50/0.67 fof(oaguc1,axiom,(![A]:(![B]:(![L]:(![M]:((distinct_points(A,B)&distinct_lines(L,M))=>(((((((left_apart_point(A,L)|left_apart_point(B,L))|left_apart_point(A,M))|left_apart_point(B,M))|left_apart_point(A,reverse_line(L)))|left_apart_point(B,reverse_line(L)))|left_apart_point(A,reverse_line(M)))|left_apart_point(B,reverse_line(M)))))))),input).
% 0.50/0.67 fof(c50,axiom,(![A]:(![B]:(![L]:(![M]:((~distinct_points(A,B)|~distinct_lines(L,M))|(((((((left_apart_point(A,L)|left_apart_point(B,L))|left_apart_point(A,M))|left_apart_point(B,M))|left_apart_point(A,reverse_line(L)))|left_apart_point(B,reverse_line(L)))|left_apart_point(A,reverse_line(M)))|left_apart_point(B,reverse_line(M)))))))),inference(fof_nnf,status(thm),[oaguc1])).
% 0.50/0.67 fof(c51,axiom,(![X32]:(![X33]:(![X34]:(![X35]:((~distinct_points(X32,X33)|~distinct_lines(X34,X35))|(((((((left_apart_point(X32,X34)|left_apart_point(X33,X34))|left_apart_point(X32,X35))|left_apart_point(X33,X35))|left_apart_point(X32,reverse_line(X34)))|left_apart_point(X33,reverse_line(X34)))|left_apart_point(X32,reverse_line(X35)))|left_apart_point(X33,reverse_line(X35)))))))),inference(variable_rename,status(thm),[c50])).
% 0.50/0.67 cnf(c52,axiom,~distinct_points(X272,X274)|~distinct_lines(X271,X273)|left_apart_point(X272,X271)|left_apart_point(X274,X271)|left_apart_point(X272,X273)|left_apart_point(X274,X273)|left_apart_point(X272,reverse_line(X271))|left_apart_point(X274,reverse_line(X271))|left_apart_point(X272,reverse_line(X273))|left_apart_point(X274,reverse_line(X273)),inference(split_conjunct,status(thm),[c51])).
% 0.50/0.67 fof(div_def,axiom,(![A]:(![B]:(![L]:(divides_points(L,A,B)<=>((left_apart_point(A,L)&left_apart_point(B,reverse_line(L)))|(left_apart_point(A,reverse_line(L))&left_apart_point(B,L))))))),input).
% 0.50/0.67 fof(c164,axiom,(![A]:(![B]:(![L]:((~divides_points(L,A,B)|((left_apart_point(A,L)&left_apart_point(B,reverse_line(L)))|(left_apart_point(A,reverse_line(L))&left_apart_point(B,L))))&(((~left_apart_point(A,L)|~left_apart_point(B,reverse_line(L)))&(~left_apart_point(A,reverse_line(L))|~left_apart_point(B,L)))|divides_points(L,A,B)))))),inference(fof_nnf,status(thm),[div_def])).
% 0.50/0.67 fof(c165,axiom,((![A]:(![B]:(![L]:(~divides_points(L,A,B)|((left_apart_point(A,L)&left_apart_point(B,reverse_line(L)))|(left_apart_point(A,reverse_line(L))&left_apart_point(B,L)))))))&(![A]:(![B]:(![L]:(((~left_apart_point(A,L)|~left_apart_point(B,reverse_line(L)))&(~left_apart_point(A,reverse_line(L))|~left_apart_point(B,L)))|divides_points(L,A,B)))))),inference(shift_quantors,status(thm),[c164])).
% 0.50/0.67 fof(c167,axiom,(![X95]:(![X96]:(![X97]:(![X98]:(![X99]:(![X100]:((~divides_points(X97,X95,X96)|((left_apart_point(X95,X97)&left_apart_point(X96,reverse_line(X97)))|(left_apart_point(X95,reverse_line(X97))&left_apart_point(X96,X97))))&(((~left_apart_point(X98,X100)|~left_apart_point(X99,reverse_line(X100)))&(~left_apart_point(X98,reverse_line(X100))|~left_apart_point(X99,X100)))|divides_points(X100,X98,X99))))))))),inference(shift_quantors,status(thm),[fof(c166,axiom,((![X95]:(![X96]:(![X97]:(~divides_points(X97,X95,X96)|((left_apart_point(X95,X97)&left_apart_point(X96,reverse_line(X97)))|(left_apart_point(X95,reverse_line(X97))&left_apart_point(X96,X97)))))))&(![X98]:(![X99]:(![X100]:(((~left_apart_point(X98,X100)|~left_apart_point(X99,reverse_line(X100)))&(~left_apart_point(X98,reverse_line(X100))|~left_apart_point(X99,X100)))|divides_points(X100,X98,X99)))))),inference(variable_rename,status(thm),[c165])).])).
% 0.50/0.67 fof(c168,axiom,(![X95]:(![X96]:(![X97]:(![X98]:(![X99]:(![X100]:((((~divides_points(X97,X95,X96)|(left_apart_point(X95,X97)|left_apart_point(X95,reverse_line(X97))))&(~divides_points(X97,X95,X96)|(left_apart_point(X95,X97)|left_apart_point(X96,X97))))&((~divides_points(X97,X95,X96)|(left_apart_point(X96,reverse_line(X97))|left_apart_point(X95,reverse_line(X97))))&(~divides_points(X97,X95,X96)|(left_apart_point(X96,reverse_line(X97))|left_apart_point(X96,X97)))))&(((~left_apart_point(X98,X100)|~left_apart_point(X99,reverse_line(X100)))|divides_points(X100,X98,X99))&((~left_apart_point(X98,reverse_line(X100))|~left_apart_point(X99,X100))|divides_points(X100,X98,X99)))))))))),inference(distribute,status(thm),[c167])).
% 0.50/0.67 cnf(c171,axiom,~divides_points(X264,X265,X263)|left_apart_point(X263,reverse_line(X264))|left_apart_point(X265,reverse_line(X264)),inference(split_conjunct,status(thm),[c168])).
% 0.50/0.67 fof(bet_def,axiom,(![L]:(![A]:(![B]:(![C]:(between_on_line(L,A,B,C)<=>((before_on_line(L,A,B)&before_on_line(L,B,C))|(before_on_line(L,C,B)&before_on_line(L,B,A)))))))),input).
% 0.50/0.67 fof(c140,axiom,(![L]:(![A]:(![B]:(![C]:((~between_on_line(L,A,B,C)|((before_on_line(L,A,B)&before_on_line(L,B,C))|(before_on_line(L,C,B)&before_on_line(L,B,A))))&(((~before_on_line(L,A,B)|~before_on_line(L,B,C))&(~before_on_line(L,C,B)|~before_on_line(L,B,A)))|between_on_line(L,A,B,C))))))),inference(fof_nnf,status(thm),[bet_def])).
% 0.50/0.67 fof(c141,axiom,((![L]:(![A]:(![B]:(![C]:(~between_on_line(L,A,B,C)|((before_on_line(L,A,B)&before_on_line(L,B,C))|(before_on_line(L,C,B)&before_on_line(L,B,A))))))))&(![L]:(![A]:(![B]:(![C]:(((~before_on_line(L,A,B)|~before_on_line(L,B,C))&(~before_on_line(L,C,B)|~before_on_line(L,B,A)))|between_on_line(L,A,B,C))))))),inference(shift_quantors,status(thm),[c140])).
% 0.50/0.67 fof(c143,axiom,(![X81]:(![X82]:(![X83]:(![X84]:(![X85]:(![X86]:(![X87]:(![X88]:((~between_on_line(X81,X82,X83,X84)|((before_on_line(X81,X82,X83)&before_on_line(X81,X83,X84))|(before_on_line(X81,X84,X83)&before_on_line(X81,X83,X82))))&(((~before_on_line(X85,X86,X87)|~before_on_line(X85,X87,X88))&(~before_on_line(X85,X88,X87)|~before_on_line(X85,X87,X86)))|between_on_line(X85,X86,X87,X88))))))))))),inference(shift_quantors,status(thm),[fof(c142,axiom,((![X81]:(![X82]:(![X83]:(![X84]:(~between_on_line(X81,X82,X83,X84)|((before_on_line(X81,X82,X83)&before_on_line(X81,X83,X84))|(before_on_line(X81,X84,X83)&before_on_line(X81,X83,X82))))))))&(![X85]:(![X86]:(![X87]:(![X88]:(((~before_on_line(X85,X86,X87)|~before_on_line(X85,X87,X88))&(~before_on_line(X85,X88,X87)|~before_on_line(X85,X87,X86)))|between_on_line(X85,X86,X87,X88))))))),inference(variable_rename,status(thm),[c141])).])).
% 0.50/0.67 fof(c144,axiom,(![X81]:(![X82]:(![X83]:(![X84]:(![X85]:(![X86]:(![X87]:(![X88]:((((~between_on_line(X81,X82,X83,X84)|(before_on_line(X81,X82,X83)|before_on_line(X81,X84,X83)))&(~between_on_line(X81,X82,X83,X84)|(before_on_line(X81,X82,X83)|before_on_line(X81,X83,X82))))&((~between_on_line(X81,X82,X83,X84)|(before_on_line(X81,X83,X84)|before_on_line(X81,X84,X83)))&(~between_on_line(X81,X82,X83,X84)|(before_on_line(X81,X83,X84)|before_on_line(X81,X83,X82)))))&(((~before_on_line(X85,X86,X87)|~before_on_line(X85,X87,X88))|between_on_line(X85,X86,X87,X88))&((~before_on_line(X85,X88,X87)|~before_on_line(X85,X87,X86))|between_on_line(X85,X86,X87,X88)))))))))))),inference(distribute,status(thm),[c143])).
% 0.50/0.67 cnf(c150,axiom,~before_on_line(X254,X255,X253)|~before_on_line(X254,X253,X252)|between_on_line(X254,X252,X253,X255),inference(split_conjunct,status(thm),[c144])).
% 0.50/0.67 cnf(c149,axiom,~before_on_line(X250,X248,X249)|~before_on_line(X250,X249,X251)|between_on_line(X250,X248,X249,X251),inference(split_conjunct,status(thm),[c144])).
% 0.50/0.67 cnf(c148,axiom,~between_on_line(X245,X246,X244,X247)|before_on_line(X245,X244,X247)|before_on_line(X245,X244,X246),inference(split_conjunct,status(thm),[c144])).
% 0.50/0.67 cnf(c147,axiom,~between_on_line(X241,X242,X240,X243)|before_on_line(X241,X240,X243)|before_on_line(X241,X243,X240),inference(split_conjunct,status(thm),[c144])).
% 0.50/0.67 cnf(c146,axiom,~between_on_line(X237,X238,X236,X239)|before_on_line(X237,X238,X236)|before_on_line(X237,X236,X238),inference(split_conjunct,status(thm),[c144])).
% 0.50/0.67 cnf(c145,axiom,~between_on_line(X230,X231,X229,X232)|before_on_line(X230,X231,X229)|before_on_line(X230,X232,X229),inference(split_conjunct,status(thm),[c144])).
% 0.50/0.67 fof(oagco1,axiom,(![A]:(![B]:(((point(A)&point(B))&distinct_points(A,B))=>line(line_connecting(A,B))))),input).
% 0.50/0.67 fof(c86,axiom,(![A]:(![B]:(((~point(A)|~point(B))|~distinct_points(A,B))|line(line_connecting(A,B))))),inference(fof_nnf,status(thm),[oagco1])).
% 0.50/0.67 fof(c87,axiom,(![X52]:(![X53]:(((~point(X52)|~point(X53))|~distinct_points(X52,X53))|line(line_connecting(X52,X53))))),inference(variable_rename,status(thm),[c86])).
% 0.50/0.67 cnf(c88,axiom,~point(X225)|~point(X226)|~distinct_points(X225,X226)|line(line_connecting(X225,X226)),inference(split_conjunct,status(thm),[c87])).
% 0.50/0.67 cnf(c172,axiom,~divides_points(X213,X214,X212)|left_apart_point(X212,reverse_line(X213))|left_apart_point(X212,X213),inference(split_conjunct,status(thm),[c168])).
% 0.50/0.67 cnf(c169,axiom,~divides_points(X210,X211,X209)|left_apart_point(X211,X210)|left_apart_point(X211,reverse_line(X210)),inference(split_conjunct,status(thm),[c168])).
% 0.50/0.67 fof(apt_def,axiom,(![A]:(![L]:(apart_point_and_line(A,L)<=>(left_apart_point(A,L)|left_apart_point(A,reverse_line(L)))))),input).
% 0.50/0.67 fof(c183,axiom,(![A]:(![L]:((~apart_point_and_line(A,L)|(left_apart_point(A,L)|left_apart_point(A,reverse_line(L))))&((~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L)))|apart_point_and_line(A,L))))),inference(fof_nnf,status(thm),[apt_def])).
% 0.50/0.67 fof(c184,axiom,((![A]:(![L]:(~apart_point_and_line(A,L)|(left_apart_point(A,L)|left_apart_point(A,reverse_line(L))))))&(![A]:(![L]:((~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L)))|apart_point_and_line(A,L))))),inference(shift_quantors,status(thm),[c183])).
% 0.50/0.67 fof(c186,axiom,(![X105]:(![X106]:(![X107]:(![X108]:((~apart_point_and_line(X105,X106)|(left_apart_point(X105,X106)|left_apart_point(X105,reverse_line(X106))))&((~left_apart_point(X107,X108)&~left_apart_point(X107,reverse_line(X108)))|apart_point_and_line(X107,X108))))))),inference(shift_quantors,status(thm),[fof(c185,axiom,((![X105]:(![X106]:(~apart_point_and_line(X105,X106)|(left_apart_point(X105,X106)|left_apart_point(X105,reverse_line(X106))))))&(![X107]:(![X108]:((~left_apart_point(X107,X108)&~left_apart_point(X107,reverse_line(X108)))|apart_point_and_line(X107,X108))))),inference(variable_rename,status(thm),[c184])).])).
% 0.50/0.67 fof(c187,axiom,(![X105]:(![X106]:(![X107]:(![X108]:((~apart_point_and_line(X105,X106)|(left_apart_point(X105,X106)|left_apart_point(X105,reverse_line(X106))))&((~left_apart_point(X107,X108)|apart_point_and_line(X107,X108))&(~left_apart_point(X107,reverse_line(X108))|apart_point_and_line(X107,X108)))))))),inference(distribute,status(thm),[c186])).
% 0.50/0.67 cnf(c188,axiom,~apart_point_and_line(X208,X207)|left_apart_point(X208,X207)|left_apart_point(X208,reverse_line(X207)),inference(split_conjunct,status(thm),[c187])).
% 0.50/0.67 cnf(c170,axiom,~divides_points(X196,X197,X195)|left_apart_point(X197,X196)|left_apart_point(X195,X196),inference(split_conjunct,status(thm),[c168])).
% 0.50/0.67 cnf(c162,axiom,~before_on_line(X194,X193,X192)|~unequally_directed_lines(X194,line_connecting(X193,X192)),inference(split_conjunct,status(thm),[c156])).
% 0.50/0.67 fof(oag2,axiom,(![A]:(![B]:(![C]:(distinct_points(A,B)=>(distinct_points(A,C)|distinct_points(B,C)))))),input).
% 0.50/0.67 fof(c132,axiom,(![A]:(![B]:(![C]:(~distinct_points(A,B)|(distinct_points(A,C)|distinct_points(B,C)))))),inference(fof_nnf,status(thm),[oag2])).
% 0.50/0.67 fof(c133,axiom,(![A]:(![B]:(~distinct_points(A,B)|(![C]:(distinct_points(A,C)|distinct_points(B,C)))))),inference(shift_quantors,status(thm),[c132])).
% 0.50/0.67 fof(c135,axiom,(![X77]:(![X78]:(![X79]:(~distinct_points(X77,X78)|(distinct_points(X77,X79)|distinct_points(X78,X79)))))),inference(shift_quantors,status(thm),[fof(c134,axiom,(![X77]:(![X78]:(~distinct_points(X77,X78)|(![X79]:(distinct_points(X77,X79)|distinct_points(X78,X79)))))),inference(variable_rename,status(thm),[c133])).])).
% 0.50/0.67 cnf(c136,axiom,~distinct_points(X190,X191)|distinct_points(X190,X189)|distinct_points(X191,X189),inference(split_conjunct,status(thm),[c135])).
% 0.50/0.67 fof(oag4,axiom,(![L]:(![M]:(![N]:(distinct_lines(L,M)=>(distinct_lines(L,N)|distinct_lines(M,N)))))),input).
% 0.50/0.67 fof(c124,axiom,(![L]:(![M]:(![N]:(~distinct_lines(L,M)|(distinct_lines(L,N)|distinct_lines(M,N)))))),inference(fof_nnf,status(thm),[oag4])).
% 0.50/0.67 fof(c125,axiom,(![L]:(![M]:(~distinct_lines(L,M)|(![N]:(distinct_lines(L,N)|distinct_lines(M,N)))))),inference(shift_quantors,status(thm),[c124])).
% 0.50/0.67 fof(c127,axiom,(![X73]:(![X74]:(![X75]:(~distinct_lines(X73,X74)|(distinct_lines(X73,X75)|distinct_lines(X74,X75)))))),inference(shift_quantors,status(thm),[fof(c126,axiom,(![X73]:(![X74]:(~distinct_lines(X73,X74)|(![X75]:(distinct_lines(X73,X75)|distinct_lines(X74,X75)))))),inference(variable_rename,status(thm),[c125])).])).
% 0.50/0.68 cnf(c128,axiom,~distinct_lines(X184,X185)|distinct_lines(X184,X183)|distinct_lines(X185,X183),inference(split_conjunct,status(thm),[c127])).
% 0.50/0.68 fof(oag6,axiom,(![L]:(![M]:(![N]:(unequally_directed_lines(L,M)=>(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))))),input).
% 0.50/0.68 fof(c116,axiom,(![L]:(![M]:(![N]:(~unequally_directed_lines(L,M)|(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))))),inference(fof_nnf,status(thm),[oag6])).
% 0.50/0.68 fof(c117,axiom,(![L]:(![M]:(~unequally_directed_lines(L,M)|(![N]:(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))))),inference(shift_quantors,status(thm),[c116])).
% 0.50/0.68 fof(c119,axiom,(![X69]:(![X70]:(![X71]:(~unequally_directed_lines(X69,X70)|(unequally_directed_lines(X69,X71)|unequally_directed_lines(X70,X71)))))),inference(shift_quantors,status(thm),[fof(c118,axiom,(![X69]:(![X70]:(~unequally_directed_lines(X69,X70)|(![X71]:(unequally_directed_lines(X69,X71)|unequally_directed_lines(X70,X71)))))),inference(variable_rename,status(thm),[c117])).])).
% 0.50/0.68 cnf(c120,axiom,~unequally_directed_lines(X180,X181)|unequally_directed_lines(X180,X182)|unequally_directed_lines(X181,X182),inference(split_conjunct,status(thm),[c119])).
% 0.50/0.68 fof(oagco3,axiom,(![L]:(![A]:((point(A)&line(L))=>line(parallel_through_point(L,A))))),input).
% 0.50/0.68 fof(c80,axiom,(![L]:(![A]:((~point(A)|~line(L))|line(parallel_through_point(L,A))))),inference(fof_nnf,status(thm),[oagco3])).
% 0.50/0.68 fof(c81,axiom,(![X48]:(![X49]:((~point(X49)|~line(X48))|line(parallel_through_point(X48,X49))))),inference(variable_rename,status(thm),[c80])).
% 0.50/0.68 cnf(c82,axiom,~point(X179)|~line(X178)|line(parallel_through_point(X178,X179)),inference(split_conjunct,status(thm),[c81])).
% 0.50/0.68 fof(cld2,axiom,(![L]:(![M]:(![N]:(((~unequally_directed_lines(L,M))&(~unequally_directed_lines(L,N)))=>(~unequally_directed_lines(M,N)))))),input).
% 0.50/0.68 fof(c29,axiom,(![L]:(![M]:(![N]:((~unequally_directed_lines(L,M)&~unequally_directed_lines(L,N))=>~unequally_directed_lines(M,N))))),inference(fof_simplification,status(thm),[cld2])).
% 0.50/0.68 fof(c30,axiom,(![L]:(![M]:(![N]:((unequally_directed_lines(L,M)|unequally_directed_lines(L,N))|~unequally_directed_lines(M,N))))),inference(fof_nnf,status(thm),[c29])).
% 0.50/0.68 fof(c31,axiom,(![X16]:(![X17]:(![X18]:((unequally_directed_lines(X16,X17)|unequally_directed_lines(X16,X18))|~unequally_directed_lines(X17,X18))))),inference(variable_rename,status(thm),[c30])).
% 0.50/0.68 cnf(c32,axiom,unequally_directed_lines(X164,X166)|unequally_directed_lines(X164,X165)|~unequally_directed_lines(X166,X165),inference(split_conjunct,status(thm),[c31])).
% 0.50/0.68 fof(oagco5,axiom,(![A]:(![B]:(distinct_points(A,B)=>((~apart_point_and_line(A,line_connecting(A,B)))&(~apart_point_and_line(B,line_connecting(A,B))))))),input).
% 0.50/0.68 fof(c71,axiom,(![A]:(![B]:(distinct_points(A,B)=>(~apart_point_and_line(A,line_connecting(A,B))&~apart_point_and_line(B,line_connecting(A,B)))))),inference(fof_simplification,status(thm),[oagco5])).
% 0.50/0.68 fof(c72,axiom,(![A]:(![B]:(~distinct_points(A,B)|(~apart_point_and_line(A,line_connecting(A,B))&~apart_point_and_line(B,line_connecting(A,B)))))),inference(fof_nnf,status(thm),[c71])).
% 0.50/0.68 fof(c73,axiom,(![X45]:(![X46]:(~distinct_points(X45,X46)|(~apart_point_and_line(X45,line_connecting(X45,X46))&~apart_point_and_line(X46,line_connecting(X45,X46)))))),inference(variable_rename,status(thm),[c72])).
% 0.50/0.68 fof(c74,axiom,(![X45]:(![X46]:((~distinct_points(X45,X46)|~apart_point_and_line(X45,line_connecting(X45,X46)))&(~distinct_points(X45,X46)|~apart_point_and_line(X46,line_connecting(X45,X46)))))),inference(distribute,status(thm),[c73])).
% 0.50/0.68 cnf(c76,axiom,~distinct_points(X156,X157)|~apart_point_and_line(X157,line_connecting(X156,X157)),inference(split_conjunct,status(thm),[c74])).
% 0.50/0.68 cnf(c75,axiom,~distinct_points(X151,X152)|~apart_point_and_line(X151,line_connecting(X151,X152)),inference(split_conjunct,status(thm),[c74])).
% 0.50/0.68 fof(con_def,axiom,(![L]:(![M]:(convergent_lines(L,M)<=>(unequally_directed_lines(L,M)&unequally_directed_lines(L,reverse_line(M)))))),input).
% 0.50/0.68 fof(c175,axiom,(![L]:(![M]:((~convergent_lines(L,M)|(unequally_directed_lines(L,M)&unequally_directed_lines(L,reverse_line(M))))&((~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))|convergent_lines(L,M))))),inference(fof_nnf,status(thm),[con_def])).
% 0.50/0.68 fof(c176,axiom,((![L]:(![M]:(~convergent_lines(L,M)|(unequally_directed_lines(L,M)&unequally_directed_lines(L,reverse_line(M))))))&(![L]:(![M]:((~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))|convergent_lines(L,M))))),inference(shift_quantors,status(thm),[c175])).
% 0.50/0.68 fof(c178,axiom,(![X101]:(![X102]:(![X103]:(![X104]:((~convergent_lines(X101,X102)|(unequally_directed_lines(X101,X102)&unequally_directed_lines(X101,reverse_line(X102))))&((~unequally_directed_lines(X103,X104)|~unequally_directed_lines(X103,reverse_line(X104)))|convergent_lines(X103,X104))))))),inference(shift_quantors,status(thm),[fof(c177,axiom,((![X101]:(![X102]:(~convergent_lines(X101,X102)|(unequally_directed_lines(X101,X102)&unequally_directed_lines(X101,reverse_line(X102))))))&(![X103]:(![X104]:((~unequally_directed_lines(X103,X104)|~unequally_directed_lines(X103,reverse_line(X104)))|convergent_lines(X103,X104))))),inference(variable_rename,status(thm),[c176])).])).
% 0.50/0.68 fof(c179,axiom,(![X101]:(![X102]:(![X103]:(![X104]:(((~convergent_lines(X101,X102)|unequally_directed_lines(X101,X102))&(~convergent_lines(X101,X102)|unequally_directed_lines(X101,reverse_line(X102))))&((~unequally_directed_lines(X103,X104)|~unequally_directed_lines(X103,reverse_line(X104)))|convergent_lines(X103,X104))))))),inference(distribute,status(thm),[c178])).
% 0.50/0.68 cnf(c181,axiom,~convergent_lines(X147,X148)|unequally_directed_lines(X147,reverse_line(X148)),inference(split_conjunct,status(thm),[c179])).
% 0.50/0.68 fof(cld4,axiom,(![L]:(![M]:((line(L)&line(M))=>(~((~unequally_directed_lines(L,M))&(~unequally_directed_lines(L,reverse_line(M)))))))),input).
% 0.50/0.68 fof(c7,axiom,(![L]:(![M]:((line(L)&line(M))=>(~(~unequally_directed_lines(L,M)&~unequally_directed_lines(L,reverse_line(M))))))),inference(fof_simplification,status(thm),[cld4])).
% 0.50/0.68 fof(c8,axiom,(![L]:(![M]:((~line(L)|~line(M))|(unequally_directed_lines(L,M)|unequally_directed_lines(L,reverse_line(M)))))),inference(fof_nnf,status(thm),[c7])).
% 0.50/0.68 fof(c9,axiom,(![X7]:(![X8]:((~line(X7)|~line(X8))|(unequally_directed_lines(X7,X8)|unequally_directed_lines(X7,reverse_line(X8)))))),inference(variable_rename,status(thm),[c8])).
% 0.50/0.68 cnf(c10,axiom,~line(X140)|~line(X139)|unequally_directed_lines(X140,X139)|unequally_directed_lines(X140,reverse_line(X139)),inference(split_conjunct,status(thm),[c9])).
% 0.50/0.68 cnf(c157,axiom,~before_on_line(X138,X137,X136)|distinct_points(X137,X136),inference(split_conjunct,status(thm),[c156])).
% 0.50/0.68 cnf(c180,axiom,~convergent_lines(X132,X133)|unequally_directed_lines(X132,X133),inference(split_conjunct,status(thm),[c179])).
% 0.50/0.68 fof(oagco4,axiom,(![L]:(line(L)=>line(reverse_line(L)))),input).
% 0.50/0.68 fof(c77,axiom,(![L]:(~line(L)|line(reverse_line(L)))),inference(fof_nnf,status(thm),[oagco4])).
% 0.50/0.68 fof(c78,axiom,(![X47]:(~line(X47)|line(reverse_line(X47)))),inference(variable_rename,status(thm),[c77])).
% 0.50/0.68 cnf(c79,axiom,~line(X131)|line(reverse_line(X131)),inference(split_conjunct,status(thm),[c78])).
% 0.50/0.68 fof(oagco7,axiom,(![A]:(![L]:(~apart_point_and_line(A,parallel_through_point(L,A))))),input).
% 0.50/0.68 fof(c62,axiom,(![A]:(![L]:~apart_point_and_line(A,parallel_through_point(L,A)))),inference(fof_simplification,status(thm),[oagco7])).
% 0.50/0.68 fof(c63,axiom,(![X41]:(![X42]:~apart_point_and_line(X41,parallel_through_point(X42,X41)))),inference(variable_rename,status(thm),[c62])).
% 0.50/0.68 cnf(c64,axiom,~apart_point_and_line(X130,parallel_through_point(X129,X130)),inference(split_conjunct,status(thm),[c63])).
% 0.50/0.68 fof(cld5,axiom,(![L]:(![M]:(![N]:((~unequally_directed_lines(L,reverse_line(M)))&((~unequally_directed_lines(L,reverse_line(N)))=>(~unequally_directed_lines(M,N))))))),input).
% 0.50/0.68 fof(c0,axiom,(![L]:(![M]:(![N]:(~unequally_directed_lines(L,reverse_line(M))&(~unequally_directed_lines(L,reverse_line(N))=>~unequally_directed_lines(M,N)))))),inference(fof_simplification,status(thm),[cld5])).
% 0.50/0.68 fof(c1,axiom,(![L]:(![M]:(![N]:(~unequally_directed_lines(L,reverse_line(M))&(unequally_directed_lines(L,reverse_line(N))|~unequally_directed_lines(M,N)))))),inference(fof_nnf,status(thm),[c0])).
% 0.50/0.68 fof(c2,axiom,((![L]:(![M]:~unequally_directed_lines(L,reverse_line(M))))&(![L]:(![M]:(![N]:(unequally_directed_lines(L,reverse_line(N))|~unequally_directed_lines(M,N)))))),inference(shift_quantors,status(thm),[c1])).
% 0.50/0.68 fof(c4,axiom,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(~unequally_directed_lines(X2,reverse_line(X3))&(unequally_directed_lines(X4,reverse_line(X6))|~unequally_directed_lines(X5,X6)))))))),inference(shift_quantors,status(thm),[fof(c3,axiom,((![X2]:(![X3]:~unequally_directed_lines(X2,reverse_line(X3))))&(![X4]:(![X5]:(![X6]:(unequally_directed_lines(X4,reverse_line(X6))|~unequally_directed_lines(X5,X6)))))),inference(variable_rename,status(thm),[c2])).])).
% 0.50/0.68 cnf(c6,axiom,unequally_directed_lines(X126,reverse_line(X128))|~unequally_directed_lines(X127,X128),inference(split_conjunct,status(thm),[c4])).
% 0.50/0.68 fof(oagco10,axiom,(![A]:(![L]:(~unequally_directed_lines(parallel_through_point(L,A),L)))),input).
% 0.50/0.68 fof(c53,axiom,(![A]:(![L]:~unequally_directed_lines(parallel_through_point(L,A),L))),inference(fof_simplification,status(thm),[oagco10])).
% 0.50/0.68 fof(c54,axiom,(![X36]:(![X37]:~unequally_directed_lines(parallel_through_point(X37,X36),X37))),inference(variable_rename,status(thm),[c53])).
% 0.50/0.68 cnf(c55,axiom,~unequally_directed_lines(parallel_through_point(X124,X125),X124),inference(split_conjunct,status(thm),[c54])).
% 0.50/0.68 fof(oagco8,axiom,(![L]:(~distinct_lines(L,reverse_line(L)))),input).
% 0.50/0.68 fof(c59,axiom,(![L]:~distinct_lines(L,reverse_line(L))),inference(fof_simplification,status(thm),[oagco8])).
% 0.50/0.68 fof(c60,axiom,(![X40]:~distinct_lines(X40,reverse_line(X40))),inference(variable_rename,status(thm),[c59])).
% 0.50/0.68 cnf(c61,axiom,~distinct_lines(X119,reverse_line(X119)),inference(split_conjunct,status(thm),[c60])).
% 0.50/0.68 fof(oag1,axiom,(![A]:(~distinct_points(A,A))),input).
% 0.50/0.68 fof(c137,axiom,(![A]:~distinct_points(A,A)),inference(fof_simplification,status(thm),[oag1])).
% 0.50/0.68 fof(c138,axiom,(![X80]:~distinct_points(X80,X80)),inference(variable_rename,status(thm),[c137])).
% 0.50/0.68 cnf(c139,axiom,~distinct_points(X118,X118),inference(split_conjunct,status(thm),[c138])).
% 0.50/0.68 cnf(c5,axiom,~unequally_directed_lines(X116,reverse_line(X117)),inference(split_conjunct,status(thm),[c4])).
% 0.50/0.68 fof(oag3,axiom,(![L]:(~distinct_lines(L,L))),input).
% 0.50/0.68 fof(c129,axiom,(![L]:~distinct_lines(L,L)),inference(fof_simplification,status(thm),[oag3])).
% 0.50/0.68 fof(c130,axiom,(![X76]:~distinct_lines(X76,X76)),inference(variable_rename,status(thm),[c129])).
% 0.50/0.68 cnf(c131,axiom,~distinct_lines(X115,X115),inference(split_conjunct,status(thm),[c130])).
% 0.50/0.68 fof(oag10,axiom,(![A]:(![L]:(~(left_apart_point(A,L)|left_apart_point(A,reverse_line(L)))))),input).
% 0.50/0.68 fof(c95,axiom,(![A]:(![L]:(~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L))))),inference(fof_nnf,status(thm),[oag10])).
% 0.50/0.68 fof(c96,axiom,((![A]:(![L]:~left_apart_point(A,L)))&(![A]:(![L]:~left_apart_point(A,reverse_line(L))))),inference(shift_quantors,status(thm),[c95])).
% 0.50/0.68 fof(c98,axiom,(![X58]:(![X59]:(![X60]:(![X61]:(~left_apart_point(X58,X59)&~left_apart_point(X60,reverse_line(X61))))))),inference(shift_quantors,status(thm),[fof(c97,axiom,((![X58]:(![X59]:~left_apart_point(X58,X59)))&(![X60]:(![X61]:~left_apart_point(X60,reverse_line(X61))))),inference(variable_rename,status(thm),[c96])).])).
% 0.50/0.68 cnf(c99,axiom,~left_apart_point(X113,X112),inference(split_conjunct,status(thm),[c98])).
% 0.50/0.68 fof(oag11,axiom,(![L]:(![M]:(~(left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M)))))),input).
% 0.50/0.68 fof(c89,axiom,(![L]:(![M]:(~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M))))),inference(fof_nnf,status(thm),[oag11])).
% 0.50/0.68 fof(c90,axiom,((![L]:(![M]:~left_convergent_lines(L,M)))&(![L]:(![M]:~left_convergent_lines(L,reverse_line(M))))),inference(shift_quantors,status(thm),[c89])).
% 0.50/0.68 fof(c92,axiom,(![X54]:(![X55]:(![X56]:(![X57]:(~left_convergent_lines(X54,X55)&~left_convergent_lines(X56,reverse_line(X57))))))),inference(shift_quantors,status(thm),[fof(c91,axiom,((![X54]:(![X55]:~left_convergent_lines(X54,X55)))&(![X56]:(![X57]:~left_convergent_lines(X56,reverse_line(X57))))),inference(variable_rename,status(thm),[c90])).])).
% 0.50/0.68 cnf(c93,axiom,~left_convergent_lines(X110,X111),inference(split_conjunct,status(thm),[c92])).
% 0.50/0.68 fof(cld1,axiom,(![L]:(~unequally_directed_lines(L,L))),input).
% 0.50/0.68 fof(c33,axiom,(![L]:~unequally_directed_lines(L,L)),inference(fof_simplification,status(thm),[cld1])).
% 0.50/0.68 fof(c34,axiom,(![X19]:~unequally_directed_lines(X19,X19)),inference(variable_rename,status(thm),[c33])).
% 0.50/0.68 cnf(c35,axiom,~unequally_directed_lines(X109,X109),inference(split_conjunct,status(thm),[c34])).
% 0.50/0.68 # SZS output end Saturation
% 0.50/0.68
% 0.50/0.68 # Initial clauses : 71
% 0.50/0.68 # Processed clauses : 37
% 0.50/0.68 # Factors computed : 0
% 0.50/0.68 # Resolvents computed: 0
% 0.50/0.68 # Tautologies deleted: 4
% 0.50/0.68 # Forward subsumed : 30
% 0.50/0.68 # Backward subsumed : 0
% 0.50/0.68 # -------- CPU Time ---------
% 0.50/0.68 # User time : 0.313 s
% 0.50/0.68 # System time : 0.015 s
% 0.50/0.68 # Total time : 0.328 s
%------------------------------------------------------------------------------