TSTP Solution File: GEO255+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO255+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 05:59:49 EDT 2022
% Result : Theorem 26.36s 26.53s
% Output : Refutation 26.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO255+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 16:05:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 26.36/26.53 # Version: 1.3
% 26.36/26.53 # SZS status Theorem
% 26.36/26.53 # SZS output start CNFRefutation
% 26.36/26.53 fof(con,conjecture,(![L]:(![A]:(![B]:((line(L)&distinct_points(A,B))=>(~(before_on_line(L,A,B)&before_on_line(L,B,A))))))),input).
% 26.36/26.53 fof(c0,negated_conjecture,(~(![L]:(![A]:(![B]:((line(L)&distinct_points(A,B))=>(~(before_on_line(L,A,B)&before_on_line(L,B,A)))))))),inference(assume_negation,status(cth),[con])).
% 26.36/26.53 fof(c1,negated_conjecture,(?[L]:(?[A]:(?[B]:((line(L)&distinct_points(A,B))&(before_on_line(L,A,B)&before_on_line(L,B,A)))))),inference(fof_nnf,status(thm),[c0])).
% 26.36/26.53 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((line(X2)&distinct_points(X3,X4))&(before_on_line(X2,X3,X4)&before_on_line(X2,X4,X3)))))),inference(variable_rename,status(thm),[c1])).
% 26.36/26.53 fof(c3,negated_conjecture,((line(skolem0001)&distinct_points(skolem0002,skolem0003))&(before_on_line(skolem0001,skolem0002,skolem0003)&before_on_line(skolem0001,skolem0003,skolem0002))),inference(skolemize,status(esa),[c2])).
% 26.36/26.53 cnf(c7,negated_conjecture,before_on_line(skolem0001,skolem0003,skolem0002),inference(split_conjunct,status(thm),[c3])).
% 26.36/26.53 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).
% 26.36/26.53 fof(c123,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])).
% 26.36/26.53 fof(c124,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),[c123])).
% 26.36/26.53 fof(c125,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),[c124])).
% 26.36/26.53 fof(c127,axiom,(![X74]:(![X75]:(![X76]:(![X77]:(![X78]:(![X79]:((~before_on_line(X74,X75,X76)|(((distinct_points(X75,X76)&(~left_apart_point(X75,X74)&~left_apart_point(X75,reverse_line(X74))))&(~left_apart_point(X76,X74)&~left_apart_point(X76,reverse_line(X74))))&~unequally_directed_lines(X74,line_connecting(X75,X76))))&((((~distinct_points(X78,X79)|(left_apart_point(X78,X77)|left_apart_point(X78,reverse_line(X77))))|(left_apart_point(X79,X77)|left_apart_point(X79,reverse_line(X77))))|unequally_directed_lines(X77,line_connecting(X78,X79)))|before_on_line(X77,X78,X79))))))))),inference(shift_quantors,status(thm),[fof(c126,axiom,((![X74]:(![X75]:(![X76]:(~before_on_line(X74,X75,X76)|(((distinct_points(X75,X76)&(~left_apart_point(X75,X74)&~left_apart_point(X75,reverse_line(X74))))&(~left_apart_point(X76,X74)&~left_apart_point(X76,reverse_line(X74))))&~unequally_directed_lines(X74,line_connecting(X75,X76)))))))&(![X77]:(![X78]:(![X79]:((((~distinct_points(X78,X79)|(left_apart_point(X78,X77)|left_apart_point(X78,reverse_line(X77))))|(left_apart_point(X79,X77)|left_apart_point(X79,reverse_line(X77))))|unequally_directed_lines(X77,line_connecting(X78,X79)))|before_on_line(X77,X78,X79)))))),inference(variable_rename,status(thm),[c125])).])).
% 26.36/26.53 fof(c128,axiom,(![X74]:(![X75]:(![X76]:(![X77]:(![X78]:(![X79]:(((((~before_on_line(X74,X75,X76)|distinct_points(X75,X76))&((~before_on_line(X74,X75,X76)|~left_apart_point(X75,X74))&(~before_on_line(X74,X75,X76)|~left_apart_point(X75,reverse_line(X74)))))&((~before_on_line(X74,X75,X76)|~left_apart_point(X76,X74))&(~before_on_line(X74,X75,X76)|~left_apart_point(X76,reverse_line(X74)))))&(~before_on_line(X74,X75,X76)|~unequally_directed_lines(X74,line_connecting(X75,X76))))&((((~distinct_points(X78,X79)|(left_apart_point(X78,X77)|left_apart_point(X78,reverse_line(X77))))|(left_apart_point(X79,X77)|left_apart_point(X79,reverse_line(X77))))|unequally_directed_lines(X77,line_connecting(X78,X79)))|before_on_line(X77,X78,X79))))))))),inference(distribute,status(thm),[c127])).
% 26.36/26.53 cnf(c134,axiom,~before_on_line(X171,X170,X172)|~unequally_directed_lines(X171,line_connecting(X170,X172)),inference(split_conjunct,status(thm),[c128])).
% 26.36/26.53 fof(oag5,axiom,(![L]:(~unequally_directed_lines(L,L))),input).
% 26.36/26.53 fof(c93,axiom,(![L]:~unequally_directed_lines(L,L)),inference(fof_simplification,status(thm),[oag5])).
% 26.36/26.53 fof(c94,axiom,(![X57]:~unequally_directed_lines(X57,X57)),inference(variable_rename,status(thm),[c93])).
% 26.36/26.53 cnf(c95,axiom,~unequally_directed_lines(X98,X98),inference(split_conjunct,status(thm),[c94])).
% 26.36/26.53 fof(oag6,axiom,(![L]:(![M]:(![N]:(unequally_directed_lines(L,M)=>(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))))),input).
% 26.36/26.53 fof(c88,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])).
% 26.36/26.53 fof(c89,axiom,(![L]:(![M]:(~unequally_directed_lines(L,M)|(![N]:(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))))),inference(shift_quantors,status(thm),[c88])).
% 26.36/26.53 fof(c91,axiom,(![X54]:(![X55]:(![X56]:(~unequally_directed_lines(X54,X55)|(unequally_directed_lines(X54,X56)|unequally_directed_lines(X55,X56)))))),inference(shift_quantors,status(thm),[fof(c90,axiom,(![X54]:(![X55]:(~unequally_directed_lines(X54,X55)|(![X56]:(unequally_directed_lines(X54,X56)|unequally_directed_lines(X55,X56)))))),inference(variable_rename,status(thm),[c89])).])).
% 26.36/26.53 cnf(c92,axiom,~unequally_directed_lines(X157,X156)|unequally_directed_lines(X157,X155)|unequally_directed_lines(X156,X155),inference(split_conjunct,status(thm),[c91])).
% 26.36/26.53 cnf(c4,negated_conjecture,line(skolem0001),inference(split_conjunct,status(thm),[c3])).
% 26.36/26.53 fof(oag8,axiom,(![L]:(![M]:((line(L)&line(M))=>(unequally_directed_lines(L,M)|unequally_directed_lines(L,reverse_line(M)))))),input).
% 26.36/26.53 fof(c76,axiom,(![L]:(![M]:((~line(L)|~line(M))|(unequally_directed_lines(L,M)|unequally_directed_lines(L,reverse_line(M)))))),inference(fof_nnf,status(thm),[oag8])).
% 26.36/26.53 fof(c77,axiom,(![X49]:(![X50]:((~line(X49)|~line(X50))|(unequally_directed_lines(X49,X50)|unequally_directed_lines(X49,reverse_line(X50)))))),inference(variable_rename,status(thm),[c76])).
% 26.36/26.53 cnf(c78,axiom,~line(X207)|~line(X206)|unequally_directed_lines(X207,X206)|unequally_directed_lines(X207,reverse_line(X206)),inference(split_conjunct,status(thm),[c77])).
% 26.36/26.53 cnf(c235,plain,~line(X252)|unequally_directed_lines(X252,skolem0001)|unequally_directed_lines(X252,reverse_line(skolem0001)),inference(resolution,status(thm),[c78, c4])).
% 26.36/26.53 cnf(c259,plain,unequally_directed_lines(skolem0001,skolem0001)|unequally_directed_lines(skolem0001,reverse_line(skolem0001)),inference(resolution,status(thm),[c235, c4])).
% 26.36/26.53 cnf(c263,plain,unequally_directed_lines(skolem0001,reverse_line(skolem0001)),inference(resolution,status(thm),[c259, c95])).
% 26.36/26.53 cnf(c272,plain,unequally_directed_lines(skolem0001,X257)|unequally_directed_lines(reverse_line(skolem0001),X257),inference(resolution,status(thm),[c263, c92])).
% 26.36/26.53 cnf(c280,plain,unequally_directed_lines(reverse_line(skolem0001),line_connecting(X390,X389))|~before_on_line(skolem0001,X390,X389),inference(resolution,status(thm),[c272, c134])).
% 26.36/26.53 cnf(c511,plain,unequally_directed_lines(reverse_line(skolem0001),line_connecting(skolem0003,skolem0002)),inference(resolution,status(thm),[c280, c7])).
% 26.36/26.53 fof(oag7,axiom,(![L]:(![M]:(![N]:((unequally_directed_lines(L,M)&unequally_directed_lines(L,reverse_line(M)))=>((unequally_directed_lines(L,N)&unequally_directed_lines(L,reverse_line(N)))|(unequally_directed_lines(M,N)&unequally_directed_lines(M,reverse_line(N)))))))),input).
% 26.36/26.53 fof(c79,axiom,(![L]:(![M]:(![N]:((~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))|((unequally_directed_lines(L,N)&unequally_directed_lines(L,reverse_line(N)))|(unequally_directed_lines(M,N)&unequally_directed_lines(M,reverse_line(N)))))))),inference(fof_nnf,status(thm),[oag7])).
% 26.36/26.53 fof(c80,axiom,(![L]:(![M]:((~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))|(![N]:((unequally_directed_lines(L,N)&unequally_directed_lines(L,reverse_line(N)))|(unequally_directed_lines(M,N)&unequally_directed_lines(M,reverse_line(N)))))))),inference(shift_quantors,status(thm),[c79])).
% 26.36/26.53 fof(c82,axiom,(![X51]:(![X52]:(![X53]:((~unequally_directed_lines(X51,X52)|~unequally_directed_lines(X51,reverse_line(X52)))|((unequally_directed_lines(X51,X53)&unequally_directed_lines(X51,reverse_line(X53)))|(unequally_directed_lines(X52,X53)&unequally_directed_lines(X52,reverse_line(X53)))))))),inference(shift_quantors,status(thm),[fof(c81,axiom,(![X51]:(![X52]:((~unequally_directed_lines(X51,X52)|~unequally_directed_lines(X51,reverse_line(X52)))|(![X53]:((unequally_directed_lines(X51,X53)&unequally_directed_lines(X51,reverse_line(X53)))|(unequally_directed_lines(X52,X53)&unequally_directed_lines(X52,reverse_line(X53)))))))),inference(variable_rename,status(thm),[c80])).])).
% 26.36/26.53 fof(c83,axiom,(![X51]:(![X52]:(![X53]:((((~unequally_directed_lines(X51,X52)|~unequally_directed_lines(X51,reverse_line(X52)))|(unequally_directed_lines(X51,X53)|unequally_directed_lines(X52,X53)))&((~unequally_directed_lines(X51,X52)|~unequally_directed_lines(X51,reverse_line(X52)))|(unequally_directed_lines(X51,X53)|unequally_directed_lines(X52,reverse_line(X53)))))&(((~unequally_directed_lines(X51,X52)|~unequally_directed_lines(X51,reverse_line(X52)))|(unequally_directed_lines(X51,reverse_line(X53))|unequally_directed_lines(X52,X53)))&((~unequally_directed_lines(X51,X52)|~unequally_directed_lines(X51,reverse_line(X52)))|(unequally_directed_lines(X51,reverse_line(X53))|unequally_directed_lines(X52,reverse_line(X53))))))))),inference(distribute,status(thm),[c82])).
% 26.36/26.53 cnf(c86,axiom,~unequally_directed_lines(X230,X229)|~unequally_directed_lines(X230,reverse_line(X229))|unequally_directed_lines(X230,reverse_line(X228))|unequally_directed_lines(X229,X228),inference(split_conjunct,status(thm),[c83])).
% 26.36/26.53 fof(oagco9,axiom,(![A]:(![B]:(~unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A)))))),input).
% 26.36/26.53 fof(c28,axiom,(![A]:(![B]:~unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))))),inference(fof_simplification,status(thm),[oagco9])).
% 26.36/26.53 fof(c29,axiom,(![X23]:(![X24]:~unequally_directed_lines(line_connecting(X23,X24),reverse_line(line_connecting(X24,X23))))),inference(variable_rename,status(thm),[c28])).
% 26.36/26.53 cnf(c30,axiom,~unequally_directed_lines(line_connecting(X147,X148),reverse_line(line_connecting(X148,X147))),inference(split_conjunct,status(thm),[c29])).
% 26.36/26.53 cnf(c6,negated_conjecture,before_on_line(skolem0001,skolem0002,skolem0003),inference(split_conjunct,status(thm),[c3])).
% 26.36/26.53 cnf(c510,plain,unequally_directed_lines(reverse_line(skolem0001),line_connecting(skolem0002,skolem0003)),inference(resolution,status(thm),[c280, c6])).
% 26.36/26.53 cnf(c512,plain,unequally_directed_lines(reverse_line(skolem0001),X498)|unequally_directed_lines(line_connecting(skolem0002,skolem0003),X498),inference(resolution,status(thm),[c510, c92])).
% 26.36/26.53 cnf(c748,plain,unequally_directed_lines(reverse_line(skolem0001),reverse_line(line_connecting(skolem0003,skolem0002))),inference(resolution,status(thm),[c512, c30])).
% 26.36/26.53 cnf(c769,plain,~unequally_directed_lines(reverse_line(skolem0001),line_connecting(skolem0003,skolem0002))|unequally_directed_lines(reverse_line(skolem0001),reverse_line(X3523))|unequally_directed_lines(line_connecting(skolem0003,skolem0002),X3523),inference(resolution,status(thm),[c748, c86])).
% 26.36/26.53 cnf(c49223,plain,unequally_directed_lines(reverse_line(skolem0001),reverse_line(X3525))|unequally_directed_lines(line_connecting(skolem0003,skolem0002),X3525),inference(resolution,status(thm),[c769, c511])).
% 26.36/26.53 cnf(c49331,plain,unequally_directed_lines(line_connecting(skolem0003,skolem0002),skolem0001),inference(resolution,status(thm),[c49223, c95])).
% 26.36/26.53 cnf(c49646,plain,unequally_directed_lines(line_connecting(skolem0003,skolem0002),X3526)|unequally_directed_lines(skolem0001,X3526),inference(resolution,status(thm),[c49331, c92])).
% 26.36/26.53 cnf(c49833,plain,unequally_directed_lines(skolem0001,line_connecting(skolem0003,skolem0002)),inference(resolution,status(thm),[c49646, c95])).
% 26.36/26.53 cnf(c49969,plain,~before_on_line(skolem0001,skolem0003,skolem0002),inference(resolution,status(thm),[c49833, c134])).
% 26.36/26.53 cnf(c50030,plain,$false,inference(resolution,status(thm),[c49969, c7])).
% 26.36/26.53 # SZS output end CNFRefutation
% 26.36/26.53
% 26.36/26.53 # Initial clauses : 62
% 26.36/26.53 # Processed clauses : 658
% 26.36/26.53 # Factors computed : 613
% 26.36/26.53 # Resolvents computed: 49429
% 26.36/26.53 # Tautologies deleted: 11
% 26.36/26.53 # Forward subsumed : 1335
% 26.36/26.53 # Backward subsumed : 12
% 26.36/26.53 # -------- CPU Time ---------
% 26.36/26.53 # User time : 26.011 s
% 26.36/26.53 # System time : 0.166 s
% 26.36/26.53 # Total time : 26.177 s
%------------------------------------------------------------------------------