TSTP Solution File: GEO179+1 by PyRes---1.3

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO179+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n027.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 05:58:55 EDT 2022

% Result   : Theorem 0.51s 0.70s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO179+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n027.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 : Fri Jun 17 15:47:07 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.51/0.70  # Version:  1.3
% 0.51/0.70  # SZS status Theorem
% 0.51/0.70  # SZS output start CNFRefutation
% 0.51/0.70  fof(con,conjecture,(![X]:(![Y]:(![Z]:((distinct_points(X,Y)&apart_point_and_line(Z,line_connecting(X,Y)))=>(distinct_lines(line_connecting(X,Y),line_connecting(Z,X))&distinct_lines(line_connecting(X,Y),line_connecting(Z,Y))))))),input).
% 0.51/0.70  fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:((distinct_points(X,Y)&apart_point_and_line(Z,line_connecting(X,Y)))=>(distinct_lines(line_connecting(X,Y),line_connecting(Z,X))&distinct_lines(line_connecting(X,Y),line_connecting(Z,Y)))))))),inference(assume_negation,status(cth),[con])).
% 0.51/0.70  fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[Z]:((distinct_points(X,Y)&apart_point_and_line(Z,line_connecting(X,Y)))&(~distinct_lines(line_connecting(X,Y),line_connecting(Z,X))|~distinct_lines(line_connecting(X,Y),line_connecting(Z,Y))))))),inference(fof_nnf,status(thm),[c0])).
% 0.51/0.70  fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((distinct_points(X2,X3)&apart_point_and_line(X4,line_connecting(X2,X3)))&(~distinct_lines(line_connecting(X2,X3),line_connecting(X4,X2))|~distinct_lines(line_connecting(X2,X3),line_connecting(X4,X3))))))),inference(variable_rename,status(thm),[c1])).
% 0.51/0.70  fof(c3,negated_conjecture,((distinct_points(skolem0001,skolem0002)&apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)))&(~distinct_lines(line_connecting(skolem0001,skolem0002),line_connecting(skolem0003,skolem0001))|~distinct_lines(line_connecting(skolem0001,skolem0002),line_connecting(skolem0003,skolem0002)))),inference(skolemize,status(esa),[c2])).
% 0.51/0.70  cnf(c4,negated_conjecture,distinct_points(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c3])).
% 0.51/0.70  fof(ci2,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(Y,line_connecting(X,Y)))))),input).
% 0.51/0.70  fof(c33,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_simplification,status(thm),[ci2])).
% 0.51/0.70  fof(c34,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_nnf,status(thm),[c33])).
% 0.51/0.70  fof(c35,axiom,(![X22]:(![X23]:(~distinct_points(X22,X23)|~apart_point_and_line(X23,line_connecting(X22,X23))))),inference(variable_rename,status(thm),[c34])).
% 0.51/0.70  cnf(c36,axiom,~distinct_points(X46,X45)|~apart_point_and_line(X45,line_connecting(X46,X45)),inference(split_conjunct,status(thm),[c35])).
% 0.51/0.70  cnf(c5,negated_conjecture,apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)),inference(split_conjunct,status(thm),[c3])).
% 0.51/0.70  fof(ceq1,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_points(X,Z)|apart_point_and_line(Z,Y)))))),input).
% 0.51/0.70  fof(c17,axiom,(![X]:(![Y]:(![Z]:(~apart_point_and_line(X,Y)|(distinct_points(X,Z)|apart_point_and_line(Z,Y)))))),inference(fof_nnf,status(thm),[ceq1])).
% 0.51/0.70  fof(c18,axiom,(![X]:(![Y]:(~apart_point_and_line(X,Y)|(![Z]:(distinct_points(X,Z)|apart_point_and_line(Z,Y)))))),inference(shift_quantors,status(thm),[c17])).
% 0.51/0.70  fof(c20,axiom,(![X11]:(![X12]:(![X13]:(~apart_point_and_line(X11,X12)|(distinct_points(X11,X13)|apart_point_and_line(X13,X12)))))),inference(shift_quantors,status(thm),[fof(c19,axiom,(![X11]:(![X12]:(~apart_point_and_line(X11,X12)|(![X13]:(distinct_points(X11,X13)|apart_point_and_line(X13,X12)))))),inference(variable_rename,status(thm),[c18])).])).
% 0.51/0.70  cnf(c21,axiom,~apart_point_and_line(X56,X55)|distinct_points(X56,X57)|apart_point_and_line(X57,X55),inference(split_conjunct,status(thm),[c20])).
% 0.51/0.70  cnf(c66,plain,distinct_points(skolem0003,X74)|apart_point_and_line(X74,line_connecting(skolem0001,skolem0002)),inference(resolution,status(thm),[c21, c5])).
% 0.51/0.70  cnf(c86,plain,distinct_points(skolem0003,skolem0002)|~distinct_points(skolem0001,skolem0002),inference(resolution,status(thm),[c66, c36])).
% 0.51/0.70  cnf(c90,plain,distinct_points(skolem0003,skolem0002),inference(resolution,status(thm),[c86, c4])).
% 0.51/0.70  fof(ci1,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(X,line_connecting(X,Y)))))),input).
% 0.51/0.70  fof(c37,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_simplification,status(thm),[ci1])).
% 0.51/0.70  fof(c38,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_nnf,status(thm),[c37])).
% 0.51/0.70  fof(c39,axiom,(![X24]:(![X25]:(~distinct_points(X24,X25)|~apart_point_and_line(X24,line_connecting(X24,X25))))),inference(variable_rename,status(thm),[c38])).
% 0.51/0.70  cnf(c40,axiom,~distinct_points(X48,X47)|~apart_point_and_line(X48,line_connecting(X48,X47)),inference(split_conjunct,status(thm),[c39])).
% 0.51/0.70  cnf(c6,negated_conjecture,~distinct_lines(line_connecting(skolem0001,skolem0002),line_connecting(skolem0003,skolem0001))|~distinct_lines(line_connecting(skolem0001,skolem0002),line_connecting(skolem0003,skolem0002)),inference(split_conjunct,status(thm),[c3])).
% 0.51/0.70  fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),input).
% 0.51/0.70  fof(c12,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])).
% 0.51/0.70  fof(c13,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),[c12])).
% 0.51/0.70  fof(c15,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(c14,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),[c13])).])).
% 0.51/0.70  cnf(c16,axiom,~apart_point_and_line(X52,X53)|distinct_lines(X53,X54)|apart_point_and_line(X52,X54),inference(split_conjunct,status(thm),[c15])).
% 0.51/0.70  cnf(c65,plain,distinct_lines(line_connecting(skolem0001,skolem0002),X73)|apart_point_and_line(skolem0003,X73),inference(resolution,status(thm),[c16, c5])).
% 0.51/0.70  cnf(c74,plain,apart_point_and_line(skolem0003,line_connecting(skolem0003,skolem0002))|~distinct_lines(line_connecting(skolem0001,skolem0002),line_connecting(skolem0003,skolem0001)),inference(resolution,status(thm),[c65, c6])).
% 0.51/0.70  cnf(c88,plain,distinct_points(skolem0003,skolem0001)|~distinct_points(skolem0001,skolem0002),inference(resolution,status(thm),[c66, c40])).
% 0.51/0.70  cnf(c129,plain,distinct_points(skolem0003,skolem0001),inference(resolution,status(thm),[c88, c4])).
% 0.51/0.70  cnf(c80,plain,distinct_lines(line_connecting(skolem0001,skolem0002),line_connecting(skolem0003,X112))|~distinct_points(skolem0003,X112),inference(resolution,status(thm),[c65, c40])).
% 0.51/0.70  cnf(c268,plain,distinct_lines(line_connecting(skolem0001,skolem0002),line_connecting(skolem0003,skolem0001)),inference(resolution,status(thm),[c80, c129])).
% 0.51/0.70  cnf(c559,plain,apart_point_and_line(skolem0003,line_connecting(skolem0003,skolem0002)),inference(resolution,status(thm),[c268, c74])).
% 0.51/0.70  cnf(c562,plain,~distinct_points(skolem0003,skolem0002),inference(resolution,status(thm),[c559, c40])).
% 0.51/0.70  cnf(c579,plain,$false,inference(resolution,status(thm),[c562, c90])).
% 0.51/0.70  # SZS output end CNFRefutation
% 0.51/0.70  
% 0.51/0.70  # Initial clauses    : 17
% 0.51/0.70  # Processed clauses  : 69
% 0.51/0.70  # Factors computed   : 48
% 0.51/0.70  # Resolvents computed: 490
% 0.51/0.70  # Tautologies deleted: 0
% 0.51/0.70  # Forward subsumed   : 91
% 0.51/0.70  # Backward subsumed  : 4
% 0.51/0.70  # -------- CPU Time ---------
% 0.51/0.70  # User time          : 0.343 s
% 0.51/0.70  # System time        : 0.012 s
% 0.51/0.70  # Total time         : 0.355 s
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