TSTP Solution File: GEO263+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO263+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 05:59:53 EDT 2022
% Result : Theorem 1.17s 1.35s
% Output : Refutation 1.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO263+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n011.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 05:59:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.17/1.35 # Version: 1.3
% 1.17/1.35 # SZS status Theorem
% 1.17/1.35 # SZS output start CNFRefutation
% 1.17/1.35 fof(oag11,axiom,(![L]:(![M]:(~(left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M)))))),input).
% 1.17/1.35 fof(c62,axiom,(![L]:(![M]:(~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M))))),inference(fof_nnf,status(thm),[oag11])).
% 1.17/1.35 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])).
% 1.17/1.35 fof(c65,axiom,(![X42]:(![X43]:(![X44]:(![X45]:(~left_convergent_lines(X42,X43)&~left_convergent_lines(X44,reverse_line(X45))))))),inference(shift_quantors,status(thm),[fof(c64,axiom,((![X42]:(![X43]:~left_convergent_lines(X42,X43)))&(![X44]:(![X45]:~left_convergent_lines(X44,reverse_line(X45))))),inference(variable_rename,status(thm),[c63])).])).
% 1.17/1.35 cnf(c66,axiom,~left_convergent_lines(X98,X97),inference(split_conjunct,status(thm),[c65])).
% 1.17/1.35 fof(con,conjecture,(![L]:(![M]:(![N]:(![A]:(![B]:(![C]:((((between_on_line(L,A,B,C)&convergent_lines(L,M))&convergent_lines(L,N))&convergent_lines(M,N))=>between_on_line(M,intersection_point(M,parallel_through_point(N,A)),intersection_point(M,parallel_through_point(N,B)),intersection_point(M,parallel_through_point(N,C)))))))))),input).
% 1.17/1.35 fof(c0,negated_conjecture,(~(![L]:(![M]:(![N]:(![A]:(![B]:(![C]:((((between_on_line(L,A,B,C)&convergent_lines(L,M))&convergent_lines(L,N))&convergent_lines(M,N))=>between_on_line(M,intersection_point(M,parallel_through_point(N,A)),intersection_point(M,parallel_through_point(N,B)),intersection_point(M,parallel_through_point(N,C))))))))))),inference(assume_negation,status(cth),[con])).
% 1.17/1.35 fof(c1,negated_conjecture,(?[L]:(?[M]:(?[N]:(?[A]:(?[B]:(?[C]:((((between_on_line(L,A,B,C)&convergent_lines(L,M))&convergent_lines(L,N))&convergent_lines(M,N))&~between_on_line(M,intersection_point(M,parallel_through_point(N,A)),intersection_point(M,parallel_through_point(N,B)),intersection_point(M,parallel_through_point(N,C)))))))))),inference(fof_nnf,status(thm),[c0])).
% 1.17/1.35 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:((((between_on_line(X2,X5,X6,X7)&convergent_lines(X2,X3))&convergent_lines(X2,X4))&convergent_lines(X3,X4))&~between_on_line(X3,intersection_point(X3,parallel_through_point(X4,X5)),intersection_point(X3,parallel_through_point(X4,X6)),intersection_point(X3,parallel_through_point(X4,X7)))))))))),inference(variable_rename,status(thm),[c1])).
% 1.17/1.35 fof(c3,negated_conjecture,((((between_on_line(skolem0001,skolem0004,skolem0005,skolem0006)&convergent_lines(skolem0001,skolem0002))&convergent_lines(skolem0001,skolem0003))&convergent_lines(skolem0002,skolem0003))&~between_on_line(skolem0002,intersection_point(skolem0002,parallel_through_point(skolem0003,skolem0004)),intersection_point(skolem0002,parallel_through_point(skolem0003,skolem0005)),intersection_point(skolem0002,parallel_through_point(skolem0003,skolem0006)))),inference(skolemize,status(esa),[c2])).
% 1.17/1.35 cnf(c5,negated_conjecture,convergent_lines(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c3])).
% 1.17/1.35 fof(con_def,axiom,(![L]:(![M]:(convergent_lines(L,M)<=>(unequally_directed_lines(L,M)&unequally_directed_lines(L,reverse_line(M)))))),input).
% 1.17/1.35 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])).
% 1.17/1.35 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])).
% 1.17/1.35 fof(c151,axiom,(![X89]:(![X90]:(![X91]:(![X92]:((~convergent_lines(X89,X90)|(unequally_directed_lines(X89,X90)&unequally_directed_lines(X89,reverse_line(X90))))&((~unequally_directed_lines(X91,X92)|~unequally_directed_lines(X91,reverse_line(X92)))|convergent_lines(X91,X92))))))),inference(shift_quantors,status(thm),[fof(c150,axiom,((![X89]:(![X90]:(~convergent_lines(X89,X90)|(unequally_directed_lines(X89,X90)&unequally_directed_lines(X89,reverse_line(X90))))))&(![X91]:(![X92]:((~unequally_directed_lines(X91,X92)|~unequally_directed_lines(X91,reverse_line(X92)))|convergent_lines(X91,X92))))),inference(variable_rename,status(thm),[c149])).])).
% 1.17/1.36 fof(c152,axiom,(![X89]:(![X90]:(![X91]:(![X92]:(((~convergent_lines(X89,X90)|unequally_directed_lines(X89,X90))&(~convergent_lines(X89,X90)|unequally_directed_lines(X89,reverse_line(X90))))&((~unequally_directed_lines(X91,X92)|~unequally_directed_lines(X91,reverse_line(X92)))|convergent_lines(X91,X92))))))),inference(distribute,status(thm),[c151])).
% 1.17/1.36 cnf(c153,axiom,~convergent_lines(X114,X115)|unequally_directed_lines(X114,X115),inference(split_conjunct,status(thm),[c152])).
% 1.17/1.36 cnf(c164,plain,unequally_directed_lines(skolem0001,skolem0002),inference(resolution,status(thm),[c153, c5])).
% 1.17/1.36 cnf(c154,axiom,~convergent_lines(X133,X134)|unequally_directed_lines(X133,reverse_line(X134)),inference(split_conjunct,status(thm),[c152])).
% 1.17/1.36 cnf(c167,plain,unequally_directed_lines(skolem0001,reverse_line(skolem0002)),inference(resolution,status(thm),[c154, c5])).
% 1.17/1.36 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).
% 1.17/1.36 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])).
% 1.17/1.36 fof(c75,axiom,(![X50]:(![X51]:((~unequally_directed_lines(X50,X51)|~unequally_directed_lines(X50,reverse_line(X51)))|(left_convergent_lines(X50,X51)|left_convergent_lines(X50,reverse_line(X51)))))),inference(variable_rename,status(thm),[c74])).
% 1.17/1.36 cnf(c76,axiom,~unequally_directed_lines(X193,X192)|~unequally_directed_lines(X193,reverse_line(X192))|left_convergent_lines(X193,X192)|left_convergent_lines(X193,reverse_line(X192)),inference(split_conjunct,status(thm),[c75])).
% 1.17/1.36 cnf(c234,plain,~unequally_directed_lines(skolem0001,skolem0002)|left_convergent_lines(skolem0001,skolem0002)|left_convergent_lines(skolem0001,reverse_line(skolem0002)),inference(resolution,status(thm),[c76, c167])).
% 1.17/1.36 cnf(c2283,plain,left_convergent_lines(skolem0001,skolem0002)|left_convergent_lines(skolem0001,reverse_line(skolem0002)),inference(resolution,status(thm),[c234, c164])).
% 1.17/1.36 cnf(c2287,plain,left_convergent_lines(skolem0001,skolem0002),inference(resolution,status(thm),[c2283, c66])).
% 1.17/1.36 cnf(c2288,plain,$false,inference(resolution,status(thm),[c2287, c66])).
% 1.17/1.36 # SZS output end CNFRefutation
% 1.17/1.36
% 1.17/1.36 # Initial clauses : 63
% 1.17/1.36 # Processed clauses : 174
% 1.17/1.36 # Factors computed : 42
% 1.17/1.36 # Resolvents computed: 2083
% 1.17/1.36 # Tautologies deleted: 0
% 1.17/1.36 # Forward subsumed : 200
% 1.17/1.36 # Backward subsumed : 2
% 1.17/1.36 # -------- CPU Time ---------
% 1.17/1.36 # User time : 0.989 s
% 1.17/1.36 # System time : 0.022 s
% 1.17/1.36 # Total time : 1.011 s
%------------------------------------------------------------------------------