TSTP Solution File: GEO261+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO261+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 05:59:52 EDT 2022
% Result : Theorem 1.52s 1.69s
% Output : Refutation 1.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO261+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 07:56:40 EDT 2022
% 0.14/0.36 % CPUTime :
% 1.52/1.69 # Version: 1.3
% 1.52/1.69 # SZS status Theorem
% 1.52/1.69 # SZS output start CNFRefutation
% 1.52/1.69 fof(oag11,axiom,(![L]:(![M]:(~(left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M)))))),input).
% 1.52/1.69 fof(c62,axiom,(![L]:(![M]:(~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M))))),inference(fof_nnf,status(thm),[oag11])).
% 1.52/1.69 fof(c63,axiom,((![L]:(![M]:~left_convergent_lines(L,M)))&(![L]:(![M]:~left_convergent_lines(L,reverse_line(M))))),inference(shift_quantors,status(thm),[c62])).
% 1.52/1.69 fof(c65,axiom,(![X41]:(![X42]:(![X43]:(![X44]:(~left_convergent_lines(X41,X42)&~left_convergent_lines(X43,reverse_line(X44))))))),inference(shift_quantors,status(thm),[fof(c64,axiom,((![X41]:(![X42]:~left_convergent_lines(X41,X42)))&(![X43]:(![X44]:~left_convergent_lines(X43,reverse_line(X44))))),inference(variable_rename,status(thm),[c63])).])).
% 1.52/1.69 cnf(c66,axiom,~left_convergent_lines(X97,X96),inference(split_conjunct,status(thm),[c65])).
% 1.52/1.69 fof(con,conjecture,(![L]:(![M]:(![A]:(![B]:(![C]:(((between_on_line(L,A,B,C)&convergent_lines(L,M))&(~apart_point_and_line(B,M)))=>divides_points(M,A,C))))))),input).
% 1.52/1.69 fof(c0,negated_conjecture,(~(![L]:(![M]:(![A]:(![B]:(![C]:(((between_on_line(L,A,B,C)&convergent_lines(L,M))&(~apart_point_and_line(B,M)))=>divides_points(M,A,C)))))))),inference(assume_negation,status(cth),[con])).
% 1.52/1.69 fof(c1,negated_conjecture,(~(![L]:(![M]:(![A]:(![B]:(![C]:(((between_on_line(L,A,B,C)&convergent_lines(L,M))&~apart_point_and_line(B,M))=>divides_points(M,A,C)))))))),inference(fof_simplification,status(thm),[c0])).
% 1.52/1.69 fof(c2,negated_conjecture,(?[L]:(?[M]:(?[A]:(?[B]:(?[C]:(((between_on_line(L,A,B,C)&convergent_lines(L,M))&~apart_point_and_line(B,M))&~divides_points(M,A,C))))))),inference(fof_nnf,status(thm),[c1])).
% 1.52/1.69 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(((between_on_line(X2,X4,X5,X6)&convergent_lines(X2,X3))&~apart_point_and_line(X5,X3))&~divides_points(X3,X4,X6))))))),inference(variable_rename,status(thm),[c2])).
% 1.52/1.69 fof(c4,negated_conjecture,(((between_on_line(skolem0001,skolem0003,skolem0004,skolem0005)&convergent_lines(skolem0001,skolem0002))&~apart_point_and_line(skolem0004,skolem0002))&~divides_points(skolem0002,skolem0003,skolem0005)),inference(skolemize,status(esa),[c3])).
% 1.52/1.69 cnf(c6,negated_conjecture,convergent_lines(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c4])).
% 1.52/1.69 fof(con_def,axiom,(![L]:(![M]:(convergent_lines(L,M)<=>(unequally_directed_lines(L,M)&unequally_directed_lines(L,reverse_line(M)))))),input).
% 1.52/1.69 fof(c148,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])).
% 1.52/1.69 fof(c149,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),[c148])).
% 1.52/1.69 fof(c151,axiom,(![X88]:(![X89]:(![X90]:(![X91]:((~convergent_lines(X88,X89)|(unequally_directed_lines(X88,X89)&unequally_directed_lines(X88,reverse_line(X89))))&((~unequally_directed_lines(X90,X91)|~unequally_directed_lines(X90,reverse_line(X91)))|convergent_lines(X90,X91))))))),inference(shift_quantors,status(thm),[fof(c150,axiom,((![X88]:(![X89]:(~convergent_lines(X88,X89)|(unequally_directed_lines(X88,X89)&unequally_directed_lines(X88,reverse_line(X89))))))&(![X90]:(![X91]:((~unequally_directed_lines(X90,X91)|~unequally_directed_lines(X90,reverse_line(X91)))|convergent_lines(X90,X91))))),inference(variable_rename,status(thm),[c149])).])).
% 1.52/1.69 fof(c152,axiom,(![X88]:(![X89]:(![X90]:(![X91]:(((~convergent_lines(X88,X89)|unequally_directed_lines(X88,X89))&(~convergent_lines(X88,X89)|unequally_directed_lines(X88,reverse_line(X89))))&((~unequally_directed_lines(X90,X91)|~unequally_directed_lines(X90,reverse_line(X91)))|convergent_lines(X90,X91))))))),inference(distribute,status(thm),[c151])).
% 1.52/1.69 cnf(c153,axiom,~convergent_lines(X114,X113)|unequally_directed_lines(X114,X113),inference(split_conjunct,status(thm),[c152])).
% 1.52/1.69 cnf(c164,plain,unequally_directed_lines(skolem0001,skolem0002),inference(resolution,status(thm),[c153, c6])).
% 1.52/1.69 cnf(c154,axiom,~convergent_lines(X130,X129)|unequally_directed_lines(X130,reverse_line(X129)),inference(split_conjunct,status(thm),[c152])).
% 1.52/1.69 cnf(c165,plain,unequally_directed_lines(skolem0001,reverse_line(skolem0002)),inference(resolution,status(thm),[c154, c6])).
% 1.52/1.69 fof(oag9,axiom,(![L]:(![M]:((unequally_directed_lines(L,M)&unequally_directed_lines(L,reverse_line(M)))=>(left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M)))))),input).
% 1.52/1.69 fof(c74,axiom,(![L]:(![M]:((~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))|(left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M)))))),inference(fof_nnf,status(thm),[oag9])).
% 1.52/1.69 fof(c75,axiom,(![X49]:(![X50]:((~unequally_directed_lines(X49,X50)|~unequally_directed_lines(X49,reverse_line(X50)))|(left_convergent_lines(X49,X50)|left_convergent_lines(X49,reverse_line(X50)))))),inference(variable_rename,status(thm),[c74])).
% 1.52/1.69 cnf(c76,axiom,~unequally_directed_lines(X208,X207)|~unequally_directed_lines(X208,reverse_line(X207))|left_convergent_lines(X208,X207)|left_convergent_lines(X208,reverse_line(X207)),inference(split_conjunct,status(thm),[c75])).
% 1.52/1.69 cnf(c248,plain,~unequally_directed_lines(skolem0001,skolem0002)|left_convergent_lines(skolem0001,skolem0002)|left_convergent_lines(skolem0001,reverse_line(skolem0002)),inference(resolution,status(thm),[c76, c165])).
% 1.52/1.69 cnf(c3807,plain,left_convergent_lines(skolem0001,skolem0002)|left_convergent_lines(skolem0001,reverse_line(skolem0002)),inference(resolution,status(thm),[c248, c164])).
% 1.52/1.69 cnf(c4062,plain,left_convergent_lines(skolem0001,skolem0002),inference(resolution,status(thm),[c3807, c66])).
% 1.52/1.69 cnf(c4063,plain,$false,inference(resolution,status(thm),[c4062, c66])).
% 1.52/1.69 # SZS output end CNFRefutation
% 1.52/1.69
% 1.52/1.69 # Initial clauses : 62
% 1.52/1.69 # Processed clauses : 221
% 1.52/1.69 # Factors computed : 61
% 1.52/1.69 # Resolvents computed: 3839
% 1.52/1.69 # Tautologies deleted: 0
% 1.52/1.69 # Forward subsumed : 255
% 1.52/1.69 # Backward subsumed : 37
% 1.52/1.69 # -------- CPU Time ---------
% 1.52/1.69 # User time : 1.303 s
% 1.52/1.69 # System time : 0.022 s
% 1.52/1.69 # Total time : 1.325 s
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