TSTP Solution File: GEO182+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO182+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 05:58:58 EDT 2022
% Result : Timeout 289.47s 289.87s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO182+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 01:55:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 289.47/289.87 # Version: 1.3
% 289.47/289.87 # SZS status Theorem
% 289.47/289.87 # SZS output start CNFRefutation
% 289.47/289.87 fof(apart1,axiom,(![X]:(~distinct_points(X,X))),input).
% 289.47/289.87 fof(c63,axiom,(![X]:~distinct_points(X,X)),inference(fof_simplification,status(thm),[apart1])).
% 289.47/289.87 fof(c64,axiom,(![X37]:~distinct_points(X37,X37)),inference(variable_rename,status(thm),[c63])).
% 289.47/289.87 cnf(c65,axiom,~distinct_points(X40,X40),inference(split_conjunct,status(thm),[c64])).
% 289.47/289.87 fof(con,conjecture,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(apart_point_and_line(Z,line_connecting(X,Y))=>apart_point_and_line(Z,line_connecting(Y,X))))))),input).
% 289.47/289.87 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(apart_point_and_line(Z,line_connecting(X,Y))=>apart_point_and_line(Z,line_connecting(Y,X)))))))),inference(assume_negation,status(cth),[con])).
% 289.47/289.87 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[Z]:(distinct_points(X,Y)&(apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(Z,line_connecting(Y,X))))))),inference(fof_nnf,status(thm),[c0])).
% 289.47/289.87 fof(c2,negated_conjecture,(?[X]:(?[Y]:(distinct_points(X,Y)&(?[Z]:(apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(Z,line_connecting(Y,X))))))),inference(shift_quantors,status(thm),[c1])).
% 289.47/289.87 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(distinct_points(X2,X3)&(?[X4]:(apart_point_and_line(X4,line_connecting(X2,X3))&~apart_point_and_line(X4,line_connecting(X3,X2))))))),inference(variable_rename,status(thm),[c2])).
% 289.47/289.87 fof(c4,negated_conjecture,(distinct_points(skolem0001,skolem0002)&(apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002))&~apart_point_and_line(skolem0003,line_connecting(skolem0002,skolem0001)))),inference(skolemize,status(esa),[c3])).
% 289.47/289.87 cnf(c5,negated_conjecture,distinct_points(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c4])).
% 289.47/289.87 fof(apart4,axiom,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(distinct_points(X,Z)|distinct_points(Y,Z)))))),input).
% 289.47/289.87 fof(c52,axiom,(![X]:(![Y]:(![Z]:(~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(fof_nnf,status(thm),[apart4])).
% 289.47/289.87 fof(c53,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|(![Z]:(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(shift_quantors,status(thm),[c52])).
% 289.47/289.87 fof(c55,axiom,(![X32]:(![X33]:(![X34]:(~distinct_points(X32,X33)|(distinct_points(X32,X34)|distinct_points(X33,X34)))))),inference(shift_quantors,status(thm),[fof(c54,axiom,(![X32]:(![X33]:(~distinct_points(X32,X33)|(![X34]:(distinct_points(X32,X34)|distinct_points(X33,X34)))))),inference(variable_rename,status(thm),[c53])).])).
% 289.47/289.87 cnf(c56,axiom,~distinct_points(X65,X64)|distinct_points(X65,X66)|distinct_points(X64,X66),inference(split_conjunct,status(thm),[c55])).
% 289.47/289.87 cnf(c68,plain,distinct_points(skolem0001,X67)|distinct_points(skolem0002,X67),inference(resolution,status(thm),[c56, c5])).
% 289.47/289.87 cnf(c70,plain,distinct_points(skolem0002,skolem0001),inference(resolution,status(thm),[c68, c65])).
% 289.47/289.87 fof(ci2,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(Y,line_connecting(X,Y)))))),input).
% 289.47/289.87 fof(c34,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_simplification,status(thm),[ci2])).
% 289.47/289.87 fof(c35,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_nnf,status(thm),[c34])).
% 289.47/289.87 fof(c36,axiom,(![X22]:(![X23]:(~distinct_points(X22,X23)|~apart_point_and_line(X23,line_connecting(X22,X23))))),inference(variable_rename,status(thm),[c35])).
% 289.47/289.87 cnf(c37,axiom,~distinct_points(X46,X45)|~apart_point_and_line(X45,line_connecting(X46,X45)),inference(split_conjunct,status(thm),[c36])).
% 289.47/289.87 fof(ci1,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(X,line_connecting(X,Y)))))),input).
% 289.47/289.87 fof(c38,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_simplification,status(thm),[ci1])).
% 289.47/289.87 fof(c39,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_nnf,status(thm),[c38])).
% 289.47/289.87 fof(c40,axiom,(![X24]:(![X25]:(~distinct_points(X24,X25)|~apart_point_and_line(X24,line_connecting(X24,X25))))),inference(variable_rename,status(thm),[c39])).
% 289.47/289.87 cnf(c41,axiom,~distinct_points(X48,X47)|~apart_point_and_line(X48,line_connecting(X48,X47)),inference(split_conjunct,status(thm),[c40])).
% 289.47/289.87 cnf(c7,negated_conjecture,~apart_point_and_line(skolem0003,line_connecting(skolem0002,skolem0001)),inference(split_conjunct,status(thm),[c4])).
% 289.47/289.87 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).
% 289.47/289.87 fof(c23,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])).
% 289.47/289.87 fof(c24,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),[c23])).
% 289.47/289.87 cnf(c25,axiom,~distinct_points(X69,X71)|~distinct_lines(X70,X68)|apart_point_and_line(X69,X70)|apart_point_and_line(X69,X68)|apart_point_and_line(X71,X70)|apart_point_and_line(X71,X68),inference(split_conjunct,status(thm),[c24])).
% 289.47/289.87 cnf(c6,negated_conjecture,apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)),inference(split_conjunct,status(thm),[c4])).
% 289.47/289.87 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),input).
% 289.47/289.87 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])).
% 289.47/289.87 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])).
% 289.47/289.87 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])).])).
% 289.47/289.87 cnf(c17,axiom,~apart_point_and_line(X53,X54)|distinct_lines(X54,X52)|apart_point_and_line(X53,X52),inference(split_conjunct,status(thm),[c16])).
% 289.47/289.87 cnf(c66,plain,distinct_lines(line_connecting(skolem0001,skolem0002),X73)|apart_point_and_line(skolem0003,X73),inference(resolution,status(thm),[c17, c6])).
% 289.47/289.87 cnf(c76,plain,apart_point_and_line(skolem0003,X93)|~distinct_points(X91,X92)|apart_point_and_line(X91,line_connecting(skolem0001,skolem0002))|apart_point_and_line(X91,X93)|apart_point_and_line(X92,line_connecting(skolem0001,skolem0002))|apart_point_and_line(X92,X93),inference(resolution,status(thm),[c66, c25])).
% 289.47/289.87 cnf(c159,plain,apart_point_and_line(skolem0003,X433)|apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0002,X433)|apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0001,X433),inference(resolution,status(thm),[c76, c70])).
% 289.47/289.87 cnf(c1640,plain,apart_point_and_line(skolem0003,X14033)|apart_point_and_line(skolem0002,X14033)|apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0001,X14033)|~distinct_points(skolem0001,skolem0002),inference(resolution,status(thm),[c159, c37])).
% 289.47/289.87 cnf(c254167,plain,apart_point_and_line(skolem0003,X14043)|apart_point_and_line(skolem0002,X14043)|apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0001,X14043),inference(resolution,status(thm),[c1640, c5])).
% 289.47/289.87 cnf(c255214,plain,apart_point_and_line(skolem0003,X14044)|apart_point_and_line(skolem0002,X14044)|apart_point_and_line(skolem0001,X14044)|~distinct_points(skolem0001,skolem0002),inference(resolution,status(thm),[c254167, c41])).
% 289.47/289.87 cnf(c255378,plain,apart_point_and_line(skolem0003,X14047)|apart_point_and_line(skolem0002,X14047)|apart_point_and_line(skolem0001,X14047),inference(resolution,status(thm),[c255214, c5])).
% 289.47/289.87 cnf(c256437,plain,apart_point_and_line(skolem0002,line_connecting(skolem0002,skolem0001))|apart_point_and_line(skolem0001,line_connecting(skolem0002,skolem0001)),inference(resolution,status(thm),[c255378, c7])).
% 289.47/289.87 cnf(c260076,plain,apart_point_and_line(skolem0001,line_connecting(skolem0002,skolem0001))|~distinct_points(skolem0002,skolem0001),inference(resolution,status(thm),[c256437, c41])).
% 289.47/289.87 cnf(c260848,plain,apart_point_and_line(skolem0001,line_connecting(skolem0002,skolem0001)),inference(resolution,status(thm),[c260076, c70])).
% 289.47/289.87 cnf(c261279,plain,~distinct_points(skolem0002,skolem0001),inference(resolution,status(thm),[c260848, c37])).
% 289.47/289.87 cnf(c262044,plain,$false,inference(resolution,status(thm),[c261279, c70])).
% 289.47/289.87 # SZS output end CNFRefutation
% 289.47/289.87
% 289.47/289.87 # Initial clauses : 17
% 289.47/289.87 # Processed clauses : 1160
% 289.47/289.87 # Factors computed : 4379
% 289.47/289.87 # Resolvents computed: 258027
% 289.47/289.87 # Tautologies deleted: 4
% 289.47/289.87 # Forward subsumed : 5781
% 289.47/289.87 # Backward subsumed : 44
% 289.47/289.87 # -------- CPU Time ---------
% 289.47/289.87 # User time : 288.476 s
% 289.47/289.87 # System time : 0.877 s
% 289.47/289.87 # Total time : 289.353 s
%------------------------------------------------------------------------------