TSTP Solution File: GEO192+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO192+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n010.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 05:59:05 EDT 2022
% Result : Theorem 0.45s 0.63s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO192+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.36 % Computer : n010.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 600
% 0.16/0.36 % DateTime : Sat Jun 18 05:17:38 EDT 2022
% 0.16/0.36 % CPUTime :
% 0.45/0.63 # Version: 1.3
% 0.45/0.63 # SZS status Theorem
% 0.45/0.63 # SZS output start CNFRefutation
% 0.45/0.63 fof(con,conjecture,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(apart_point_and_line(intersection_point(X,Y),Z)=>(distinct_lines(X,Z)&distinct_lines(Y,Z))))))),input).
% 0.45/0.63 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(apart_point_and_line(intersection_point(X,Y),Z)=>(distinct_lines(X,Z)&distinct_lines(Y,Z)))))))),inference(assume_negation,status(cth),[con])).
% 0.45/0.63 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[Z]:(convergent_lines(X,Y)&(apart_point_and_line(intersection_point(X,Y),Z)&(~distinct_lines(X,Z)|~distinct_lines(Y,Z))))))),inference(fof_nnf,status(thm),[c0])).
% 0.45/0.63 fof(c2,negated_conjecture,(?[X]:(?[Y]:(convergent_lines(X,Y)&(?[Z]:(apart_point_and_line(intersection_point(X,Y),Z)&(~distinct_lines(X,Z)|~distinct_lines(Y,Z))))))),inference(shift_quantors,status(thm),[c1])).
% 0.45/0.63 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(convergent_lines(X2,X3)&(?[X4]:(apart_point_and_line(intersection_point(X2,X3),X4)&(~distinct_lines(X2,X4)|~distinct_lines(X3,X4))))))),inference(variable_rename,status(thm),[c2])).
% 0.45/0.63 fof(c4,negated_conjecture,(convergent_lines(skolem0001,skolem0002)&(apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0003)&(~distinct_lines(skolem0001,skolem0003)|~distinct_lines(skolem0002,skolem0003)))),inference(skolemize,status(esa),[c3])).
% 0.45/0.63 cnf(c7,negated_conjecture,~distinct_lines(skolem0001,skolem0003)|~distinct_lines(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c4])).
% 0.45/0.63 fof(apart2,axiom,(![X]:(~distinct_lines(X,X))),input).
% 0.45/0.63 fof(c60,axiom,(![X]:~distinct_lines(X,X)),inference(fof_simplification,status(thm),[apart2])).
% 0.45/0.63 fof(c61,axiom,(![X36]:~distinct_lines(X36,X36)),inference(variable_rename,status(thm),[c60])).
% 0.45/0.63 cnf(c62,axiom,~distinct_lines(X39,X39),inference(split_conjunct,status(thm),[c61])).
% 0.45/0.63 fof(apart5,axiom,(![X]:(![Y]:(![Z]:(distinct_lines(X,Y)=>(distinct_lines(X,Z)|distinct_lines(Y,Z)))))),input).
% 0.45/0.63 fof(c47,axiom,(![X]:(![Y]:(![Z]:(~distinct_lines(X,Y)|(distinct_lines(X,Z)|distinct_lines(Y,Z)))))),inference(fof_nnf,status(thm),[apart5])).
% 0.45/0.63 fof(c48,axiom,(![X]:(![Y]:(~distinct_lines(X,Y)|(![Z]:(distinct_lines(X,Z)|distinct_lines(Y,Z)))))),inference(shift_quantors,status(thm),[c47])).
% 0.45/0.63 fof(c50,axiom,(![X29]:(![X30]:(![X31]:(~distinct_lines(X29,X30)|(distinct_lines(X29,X31)|distinct_lines(X30,X31)))))),inference(shift_quantors,status(thm),[fof(c49,axiom,(![X29]:(![X30]:(~distinct_lines(X29,X30)|(![X31]:(distinct_lines(X29,X31)|distinct_lines(X30,X31)))))),inference(variable_rename,status(thm),[c48])).])).
% 0.45/0.63 cnf(c51,axiom,~distinct_lines(X69,X71)|distinct_lines(X69,X70)|distinct_lines(X71,X70),inference(split_conjunct,status(thm),[c50])).
% 0.45/0.63 cnf(c5,negated_conjecture,convergent_lines(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c4])).
% 0.45/0.63 fof(ci4,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>(~apart_point_and_line(intersection_point(X,Y),Y))))),input).
% 0.45/0.63 fof(c26,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>~apart_point_and_line(intersection_point(X,Y),Y)))),inference(fof_simplification,status(thm),[ci4])).
% 0.45/0.63 fof(c27,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),Y)))),inference(fof_nnf,status(thm),[c26])).
% 0.45/0.63 fof(c28,axiom,(![X18]:(![X19]:(~convergent_lines(X18,X19)|~apart_point_and_line(intersection_point(X18,X19),X19)))),inference(variable_rename,status(thm),[c27])).
% 0.45/0.63 cnf(c29,axiom,~convergent_lines(X41,X42)|~apart_point_and_line(intersection_point(X41,X42),X42),inference(split_conjunct,status(thm),[c28])).
% 0.45/0.63 cnf(c6,negated_conjecture,apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0003),inference(split_conjunct,status(thm),[c4])).
% 0.45/0.63 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),input).
% 0.45/0.63 fof(c13,axiom,(![X]:(![Y]:(![Z]:(~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),inference(fof_nnf,status(thm),[ceq2])).
% 0.45/0.63 fof(c14,axiom,(![X]:(![Y]:(~apart_point_and_line(X,Y)|(![Z]:(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),inference(shift_quantors,status(thm),[c13])).
% 0.45/0.63 fof(c16,axiom,(![X8]:(![X9]:(![X10]:(~apart_point_and_line(X8,X9)|(distinct_lines(X9,X10)|apart_point_and_line(X8,X10)))))),inference(shift_quantors,status(thm),[fof(c15,axiom,(![X8]:(![X9]:(~apart_point_and_line(X8,X9)|(![X10]:(distinct_lines(X9,X10)|apart_point_and_line(X8,X10)))))),inference(variable_rename,status(thm),[c14])).])).
% 0.45/0.63 cnf(c17,axiom,~apart_point_and_line(X52,X53)|distinct_lines(X53,X54)|apart_point_and_line(X52,X54),inference(split_conjunct,status(thm),[c16])).
% 0.45/0.63 cnf(c67,plain,distinct_lines(skolem0003,X77)|apart_point_and_line(intersection_point(skolem0001,skolem0002),X77),inference(resolution,status(thm),[c17, c6])).
% 0.45/0.63 cnf(c107,plain,distinct_lines(skolem0003,skolem0002)|~convergent_lines(skolem0001,skolem0002),inference(resolution,status(thm),[c67, c29])).
% 0.45/0.63 cnf(c114,plain,distinct_lines(skolem0003,skolem0002),inference(resolution,status(thm),[c107, c5])).
% 0.45/0.63 cnf(c116,plain,distinct_lines(skolem0003,X78)|distinct_lines(skolem0002,X78),inference(resolution,status(thm),[c114, c51])).
% 0.45/0.63 cnf(c120,plain,distinct_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c116, c62])).
% 0.45/0.63 cnf(c127,plain,~distinct_lines(skolem0001,skolem0003),inference(resolution,status(thm),[c120, c7])).
% 0.45/0.63 fof(ci3,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>(~apart_point_and_line(intersection_point(X,Y),X))))),input).
% 0.45/0.63 fof(c30,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>~apart_point_and_line(intersection_point(X,Y),X)))),inference(fof_simplification,status(thm),[ci3])).
% 0.45/0.63 fof(c31,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X)))),inference(fof_nnf,status(thm),[c30])).
% 0.45/0.63 fof(c32,axiom,(![X20]:(![X21]:(~convergent_lines(X20,X21)|~apart_point_and_line(intersection_point(X20,X21),X20)))),inference(variable_rename,status(thm),[c31])).
% 0.45/0.63 cnf(c33,axiom,~convergent_lines(X44,X43)|~apart_point_and_line(intersection_point(X44,X43),X44),inference(split_conjunct,status(thm),[c32])).
% 0.45/0.63 cnf(c108,plain,distinct_lines(skolem0003,skolem0001)|~convergent_lines(skolem0001,skolem0002),inference(resolution,status(thm),[c67, c33])).
% 0.45/0.63 cnf(c264,plain,distinct_lines(skolem0003,skolem0001),inference(resolution,status(thm),[c108, c5])).
% 0.45/0.63 cnf(c290,plain,distinct_lines(skolem0003,X134)|distinct_lines(skolem0001,X134),inference(resolution,status(thm),[c264, c51])).
% 0.45/0.63 cnf(c313,plain,distinct_lines(skolem0001,skolem0003),inference(resolution,status(thm),[c290, c62])).
% 0.45/0.63 cnf(c319,plain,$false,inference(resolution,status(thm),[c313, c127])).
% 0.45/0.63 # SZS output end CNFRefutation
% 0.45/0.63
% 0.45/0.63 # Initial clauses : 17
% 0.45/0.63 # Processed clauses : 60
% 0.45/0.63 # Factors computed : 9
% 0.45/0.63 # Resolvents computed: 257
% 0.45/0.63 # Tautologies deleted: 1
% 0.45/0.63 # Forward subsumed : 53
% 0.45/0.63 # Backward subsumed : 4
% 0.45/0.63 # -------- CPU Time ---------
% 0.45/0.63 # User time : 0.250 s
% 0.45/0.63 # System time : 0.014 s
% 0.45/0.63 # Total time : 0.264 s
%------------------------------------------------------------------------------