TSTP Solution File: GEO189+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO189+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 05:59:03 EDT 2022
% Result : Theorem 284.60s 284.94s
% Output : Refutation 284.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO189+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 04:14:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 284.60/284.94 # Version: 1.3
% 284.60/284.94 # SZS status Theorem
% 284.60/284.94 # SZS output start CNFRefutation
% 284.60/284.94 fof(con,conjecture,(![X]:(![Y]:(![Z]:((((distinct_points(X,Y)&distinct_points(X,Z))&distinct_points(Y,Z))&(~apart_point_and_line(Z,line_connecting(X,Y))))=>(~apart_point_and_line(Y,line_connecting(X,Z))))))),input).
% 284.60/284.94 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:((((distinct_points(X,Y)&distinct_points(X,Z))&distinct_points(Y,Z))&(~apart_point_and_line(Z,line_connecting(X,Y))))=>(~apart_point_and_line(Y,line_connecting(X,Z)))))))),inference(assume_negation,status(cth),[con])).
% 284.60/284.94 fof(c1,negated_conjecture,(~(![X]:(![Y]:(![Z]:((((distinct_points(X,Y)&distinct_points(X,Z))&distinct_points(Y,Z))&~apart_point_and_line(Z,line_connecting(X,Y)))=>~apart_point_and_line(Y,line_connecting(X,Z))))))),inference(fof_simplification,status(thm),[c0])).
% 284.60/284.94 fof(c2,negated_conjecture,(?[X]:(?[Y]:(?[Z]:((((distinct_points(X,Y)&distinct_points(X,Z))&distinct_points(Y,Z))&~apart_point_and_line(Z,line_connecting(X,Y)))&apart_point_and_line(Y,line_connecting(X,Z)))))),inference(fof_nnf,status(thm),[c1])).
% 284.60/284.94 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((((distinct_points(X2,X3)&distinct_points(X2,X4))&distinct_points(X3,X4))&~apart_point_and_line(X4,line_connecting(X2,X3)))&apart_point_and_line(X3,line_connecting(X2,X4)))))),inference(variable_rename,status(thm),[c2])).
% 284.60/284.94 fof(c4,negated_conjecture,((((distinct_points(skolem0001,skolem0002)&distinct_points(skolem0001,skolem0003))&distinct_points(skolem0002,skolem0003))&~apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)))&apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0003))),inference(skolemize,status(esa),[c3])).
% 284.60/284.94 cnf(c5,negated_conjecture,distinct_points(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c4])).
% 284.60/284.94 fof(ci1,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(X,line_connecting(X,Y)))))),input).
% 284.60/284.94 fof(c40,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_simplification,status(thm),[ci1])).
% 284.60/284.94 fof(c41,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_nnf,status(thm),[c40])).
% 284.60/284.94 fof(c42,axiom,(![X24]:(![X25]:(~distinct_points(X24,X25)|~apart_point_and_line(X24,line_connecting(X24,X25))))),inference(variable_rename,status(thm),[c41])).
% 284.60/284.94 cnf(c43,axiom,~distinct_points(X51,X50)|~apart_point_and_line(X51,line_connecting(X51,X50)),inference(split_conjunct,status(thm),[c42])).
% 284.60/284.94 fof(ci2,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(Y,line_connecting(X,Y)))))),input).
% 284.60/284.94 fof(c36,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_simplification,status(thm),[ci2])).
% 284.60/284.94 fof(c37,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_nnf,status(thm),[c36])).
% 284.60/284.94 fof(c38,axiom,(![X22]:(![X23]:(~distinct_points(X22,X23)|~apart_point_and_line(X23,line_connecting(X22,X23))))),inference(variable_rename,status(thm),[c37])).
% 284.60/284.94 cnf(c39,axiom,~distinct_points(X46,X45)|~apart_point_and_line(X45,line_connecting(X46,X45)),inference(split_conjunct,status(thm),[c38])).
% 284.60/284.94 cnf(c8,negated_conjecture,~apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)),inference(split_conjunct,status(thm),[c4])).
% 284.60/284.94 cnf(c6,negated_conjecture,distinct_points(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c4])).
% 284.60/284.94 fof(apart1,axiom,(![X]:(~distinct_points(X,X))),input).
% 284.60/284.94 fof(c65,axiom,(![X]:~distinct_points(X,X)),inference(fof_simplification,status(thm),[apart1])).
% 284.60/284.94 fof(c66,axiom,(![X37]:~distinct_points(X37,X37)),inference(variable_rename,status(thm),[c65])).
% 284.60/284.94 cnf(c67,axiom,~distinct_points(X40,X40),inference(split_conjunct,status(thm),[c66])).
% 284.60/284.94 fof(apart4,axiom,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(distinct_points(X,Z)|distinct_points(Y,Z)))))),input).
% 284.60/284.94 fof(c54,axiom,(![X]:(![Y]:(![Z]:(~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(fof_nnf,status(thm),[apart4])).
% 284.60/284.94 fof(c55,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|(![Z]:(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(shift_quantors,status(thm),[c54])).
% 284.60/284.94 fof(c57,axiom,(![X32]:(![X33]:(![X34]:(~distinct_points(X32,X33)|(distinct_points(X32,X34)|distinct_points(X33,X34)))))),inference(shift_quantors,status(thm),[fof(c56,axiom,(![X32]:(![X33]:(~distinct_points(X32,X33)|(![X34]:(distinct_points(X32,X34)|distinct_points(X33,X34)))))),inference(variable_rename,status(thm),[c55])).])).
% 284.60/284.94 cnf(c58,axiom,~distinct_points(X70,X68)|distinct_points(X70,X69)|distinct_points(X68,X69),inference(split_conjunct,status(thm),[c57])).
% 284.60/284.94 cnf(c71,plain,distinct_points(skolem0001,X72)|distinct_points(skolem0003,X72),inference(resolution,status(thm),[c58, c6])).
% 284.60/284.94 cnf(c78,plain,distinct_points(skolem0003,skolem0001),inference(resolution,status(thm),[c71, c67])).
% 284.60/284.94 fof(cu1,axiom,(![X]:(![Y]:(![U]:(![V]:((distinct_points(X,Y)&distinct_lines(U,V))=>(((apart_point_and_line(X,U)|apart_point_and_line(X,V))|apart_point_and_line(Y,U))|apart_point_and_line(Y,V))))))),input).
% 284.60/284.94 fof(c25,axiom,(![X]:(![Y]:(![U]:(![V]:((~distinct_points(X,Y)|~distinct_lines(U,V))|(((apart_point_and_line(X,U)|apart_point_and_line(X,V))|apart_point_and_line(Y,U))|apart_point_and_line(Y,V))))))),inference(fof_nnf,status(thm),[cu1])).
% 284.60/284.94 fof(c26,axiom,(![X14]:(![X15]:(![X16]:(![X17]:((~distinct_points(X14,X15)|~distinct_lines(X16,X17))|(((apart_point_and_line(X14,X16)|apart_point_and_line(X14,X17))|apart_point_and_line(X15,X16))|apart_point_and_line(X15,X17))))))),inference(variable_rename,status(thm),[c25])).
% 284.60/284.94 cnf(c27,axiom,~distinct_points(X67,X65)|~distinct_lines(X66,X64)|apart_point_and_line(X67,X66)|apart_point_and_line(X67,X64)|apart_point_and_line(X65,X66)|apart_point_and_line(X65,X64),inference(split_conjunct,status(thm),[c26])).
% 284.60/284.94 cnf(c9,negated_conjecture,apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0003)),inference(split_conjunct,status(thm),[c4])).
% 284.60/284.94 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),input).
% 284.60/284.94 fof(c15,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])).
% 284.60/284.94 fof(c16,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),[c15])).
% 284.60/284.94 fof(c18,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(c17,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),[c16])).])).
% 284.60/284.94 cnf(c19,axiom,~apart_point_and_line(X52,X54)|distinct_lines(X54,X53)|apart_point_and_line(X52,X53),inference(split_conjunct,status(thm),[c18])).
% 284.60/284.94 cnf(c68,plain,distinct_lines(line_connecting(skolem0001,skolem0003),X73)|apart_point_and_line(skolem0002,X73),inference(resolution,status(thm),[c19, c9])).
% 284.60/284.94 cnf(c84,plain,apart_point_and_line(skolem0002,X107)|~distinct_points(X105,X106)|apart_point_and_line(X105,line_connecting(skolem0001,skolem0003))|apart_point_and_line(X105,X107)|apart_point_and_line(X106,line_connecting(skolem0001,skolem0003))|apart_point_and_line(X106,X107),inference(resolution,status(thm),[c68, c27])).
% 284.60/284.94 cnf(c182,plain,apart_point_and_line(skolem0002,X525)|apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0003))|apart_point_and_line(skolem0003,X525)|apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0003))|apart_point_and_line(skolem0001,X525),inference(resolution,status(thm),[c84, c78])).
% 284.60/284.94 cnf(c1777,plain,apart_point_and_line(skolem0002,X15659)|apart_point_and_line(skolem0003,X15659)|apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0003))|apart_point_and_line(skolem0001,X15659)|~distinct_points(skolem0001,skolem0003),inference(resolution,status(thm),[c182, c39])).
% 284.60/284.94 cnf(c248340,plain,apart_point_and_line(skolem0002,X15691)|apart_point_and_line(skolem0003,X15691)|apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0003))|apart_point_and_line(skolem0001,X15691),inference(resolution,status(thm),[c1777, c6])).
% 284.60/284.94 cnf(c249087,plain,apart_point_and_line(skolem0002,X15694)|apart_point_and_line(skolem0003,X15694)|apart_point_and_line(skolem0001,X15694)|~distinct_points(skolem0001,skolem0003),inference(resolution,status(thm),[c248340, c43])).
% 284.60/284.94 cnf(c249665,plain,apart_point_and_line(skolem0002,X15695)|apart_point_and_line(skolem0003,X15695)|apart_point_and_line(skolem0001,X15695),inference(resolution,status(thm),[c249087, c6])).
% 284.60/284.94 cnf(c250381,plain,apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002)),inference(resolution,status(thm),[c249665, c8])).
% 284.60/284.94 cnf(c254015,plain,apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002))|~distinct_points(skolem0001,skolem0002),inference(resolution,status(thm),[c250381, c39])).
% 284.60/284.94 cnf(c254915,plain,apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002)),inference(resolution,status(thm),[c254015, c5])).
% 284.60/284.94 cnf(c255287,plain,~distinct_points(skolem0001,skolem0002),inference(resolution,status(thm),[c254915, c43])).
% 284.60/284.94 cnf(c256182,plain,$false,inference(resolution,status(thm),[c255287, c5])).
% 284.60/284.94 # SZS output end CNFRefutation
% 284.60/284.94
% 284.60/284.94 # Initial clauses : 19
% 284.60/284.94 # Processed clauses : 1141
% 284.60/284.94 # Factors computed : 4330
% 284.60/284.94 # Resolvents computed: 252154
% 284.60/284.94 # Tautologies deleted: 4
% 284.60/284.94 # Forward subsumed : 6239
% 284.60/284.94 # Backward subsumed : 45
% 284.60/284.94 # -------- CPU Time ---------
% 284.60/284.94 # User time : 283.611 s
% 284.60/284.94 # System time : 0.840 s
% 284.60/284.94 # Total time : 284.451 s
%------------------------------------------------------------------------------