TSTP Solution File: GEO206+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO206+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 05:59:16 EDT 2022
% Result : Theorem 0.39s 0.55s
% Output : Refutation 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO206+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n004.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 02:05:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.39/0.55 # Version: 1.3
% 0.39/0.55 # SZS status Theorem
% 0.39/0.55 # SZS output start CNFRefutation
% 0.39/0.55 fof(con,conjecture,(![X]:(![Y]:(![Z]:(((~apart_point_and_line(X,Y))&(~convergent_lines(Y,Z)))=>(~distinct_lines(Y,parallel_through_point(Z,X))))))),input).
% 0.39/0.55 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:(((~apart_point_and_line(X,Y))&(~convergent_lines(Y,Z)))=>(~distinct_lines(Y,parallel_through_point(Z,X)))))))),inference(assume_negation,status(cth),[con])).
% 0.39/0.55 fof(c1,negated_conjecture,(~(![X]:(![Y]:(![Z]:((~apart_point_and_line(X,Y)&~convergent_lines(Y,Z))=>~distinct_lines(Y,parallel_through_point(Z,X))))))),inference(fof_simplification,status(thm),[c0])).
% 0.39/0.55 fof(c2,negated_conjecture,(?[X]:(?[Y]:(?[Z]:((~apart_point_and_line(X,Y)&~convergent_lines(Y,Z))&distinct_lines(Y,parallel_through_point(Z,X)))))),inference(fof_nnf,status(thm),[c1])).
% 0.39/0.55 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((~apart_point_and_line(X2,X3)&~convergent_lines(X3,X4))&distinct_lines(X3,parallel_through_point(X4,X2)))))),inference(variable_rename,status(thm),[c2])).
% 0.39/0.55 fof(c4,negated_conjecture,((~apart_point_and_line(skolem0001,skolem0002)&~convergent_lines(skolem0002,skolem0003))&distinct_lines(skolem0002,parallel_through_point(skolem0003,skolem0001))),inference(skolemize,status(esa),[c3])).
% 0.39/0.55 cnf(c6,negated_conjecture,~convergent_lines(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c4])).
% 0.39/0.55 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),input).
% 0.39/0.55 fof(c14,axiom,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,status(thm),[cp1])).
% 0.39/0.55 fof(c15,axiom,(![X10]:(![X11]:~convergent_lines(parallel_through_point(X11,X10),X11))),inference(variable_rename,status(thm),[c14])).
% 0.39/0.55 cnf(c16,axiom,~convergent_lines(parallel_through_point(X51,X50),X51),inference(split_conjunct,status(thm),[c15])).
% 0.39/0.55 fof(ax6,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),input).
% 0.39/0.55 fof(c51,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(fof_nnf,status(thm),[ax6])).
% 0.39/0.55 fof(c52,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(shift_quantors,status(thm),[c51])).
% 0.39/0.55 fof(c54,axiom,(![X33]:(![X34]:(![X35]:(~convergent_lines(X33,X34)|(convergent_lines(X33,X35)|convergent_lines(X34,X35)))))),inference(shift_quantors,status(thm),[fof(c53,axiom,(![X33]:(![X34]:(~convergent_lines(X33,X34)|(![X35]:(convergent_lines(X33,X35)|convergent_lines(X34,X35)))))),inference(variable_rename,status(thm),[c52])).])).
% 0.39/0.55 cnf(c55,axiom,~convergent_lines(X74,X73)|convergent_lines(X74,X72)|convergent_lines(X73,X72),inference(split_conjunct,status(thm),[c54])).
% 0.39/0.55 cnf(c5,negated_conjecture,~apart_point_and_line(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c4])).
% 0.39/0.55 fof(cp2,axiom,(![X]:(![Y]:(~apart_point_and_line(X,parallel_through_point(Y,X))))),input).
% 0.39/0.55 fof(c11,axiom,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,status(thm),[cp2])).
% 0.39/0.55 fof(c12,axiom,(![X8]:(![X9]:~apart_point_and_line(X8,parallel_through_point(X9,X8)))),inference(variable_rename,status(thm),[c11])).
% 0.39/0.55 cnf(c13,axiom,~apart_point_and_line(X49,parallel_through_point(X48,X49)),inference(split_conjunct,status(thm),[c12])).
% 0.39/0.55 cnf(c7,negated_conjecture,distinct_lines(skolem0002,parallel_through_point(skolem0003,skolem0001)),inference(split_conjunct,status(thm),[c4])).
% 0.39/0.55 fof(cup1,axiom,(![X]:(![Y]:(![Z]:(distinct_lines(Y,Z)=>((apart_point_and_line(X,Y)|apart_point_and_line(X,Z))|convergent_lines(Y,Z)))))),input).
% 0.39/0.55 fof(c8,axiom,(![X]:(![Y]:(![Z]:(~distinct_lines(Y,Z)|((apart_point_and_line(X,Y)|apart_point_and_line(X,Z))|convergent_lines(Y,Z)))))),inference(fof_nnf,status(thm),[cup1])).
% 0.39/0.55 fof(c9,axiom,(![X5]:(![X6]:(![X7]:(~distinct_lines(X6,X7)|((apart_point_and_line(X5,X6)|apart_point_and_line(X5,X7))|convergent_lines(X6,X7)))))),inference(variable_rename,status(thm),[c8])).
% 0.39/0.55 cnf(c10,axiom,~distinct_lines(X58,X60)|apart_point_and_line(X59,X58)|apart_point_and_line(X59,X60)|convergent_lines(X58,X60),inference(split_conjunct,status(thm),[c9])).
% 0.39/0.55 cnf(c75,plain,apart_point_and_line(X86,skolem0002)|apart_point_and_line(X86,parallel_through_point(skolem0003,skolem0001))|convergent_lines(skolem0002,parallel_through_point(skolem0003,skolem0001)),inference(resolution,status(thm),[c10, c7])).
% 0.39/0.55 cnf(c95,plain,apart_point_and_line(skolem0001,skolem0002)|convergent_lines(skolem0002,parallel_through_point(skolem0003,skolem0001)),inference(resolution,status(thm),[c75, c13])).
% 0.39/0.55 cnf(c102,plain,convergent_lines(skolem0002,parallel_through_point(skolem0003,skolem0001)),inference(resolution,status(thm),[c95, c5])).
% 0.39/0.55 cnf(c106,plain,convergent_lines(skolem0002,X88)|convergent_lines(parallel_through_point(skolem0003,skolem0001),X88),inference(resolution,status(thm),[c102, c55])).
% 0.39/0.55 cnf(c115,plain,convergent_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c106, c16])).
% 0.39/0.55 cnf(c117,plain,$false,inference(resolution,status(thm),[c115, c6])).
% 0.39/0.55 # SZS output end CNFRefutation
% 0.39/0.55
% 0.39/0.55 # Initial clauses : 20
% 0.39/0.55 # Processed clauses : 28
% 0.39/0.55 # Factors computed : 0
% 0.39/0.55 # Resolvents computed: 44
% 0.39/0.55 # Tautologies deleted: 0
% 0.39/0.55 # Forward subsumed : 2
% 0.39/0.55 # Backward subsumed : 2
% 0.39/0.55 # -------- CPU Time ---------
% 0.39/0.55 # User time : 0.197 s
% 0.39/0.55 # System time : 0.012 s
% 0.39/0.55 # Total time : 0.209 s
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