TSTP Solution File: GEO178+2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO178+2 : 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 05:58:55 EDT 2022
% Result : Theorem 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO178+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % 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 09:52:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.55 # Version: 1.3
% 0.19/0.55 # SZS status Theorem
% 0.19/0.55 # SZS output start CNFRefutation
% 0.19/0.55 fof(con,conjecture,(![X]:(![Y]:(![Z]:((distinct_points(X,Y)&apart_point_and_line(Z,line_connecting(X,Y)))=>(distinct_points(Z,X)&distinct_points(Z,Y)))))),input).
% 0.19/0.55 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:((distinct_points(X,Y)&apart_point_and_line(Z,line_connecting(X,Y)))=>(distinct_points(Z,X)&distinct_points(Z,Y))))))),inference(assume_negation,status(cth),[con])).
% 0.19/0.55 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[Z]:((distinct_points(X,Y)&apart_point_and_line(Z,line_connecting(X,Y)))&(~distinct_points(Z,X)|~distinct_points(Z,Y)))))),inference(fof_nnf,status(thm),[c0])).
% 0.19/0.55 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((distinct_points(X2,X3)&apart_point_and_line(X4,line_connecting(X2,X3)))&(~distinct_points(X4,X2)|~distinct_points(X4,X3)))))),inference(variable_rename,status(thm),[c1])).
% 0.19/0.55 fof(c3,negated_conjecture,((distinct_points(skolem0001,skolem0002)&apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)))&(~distinct_points(skolem0003,skolem0001)|~distinct_points(skolem0003,skolem0002))),inference(skolemize,status(esa),[c2])).
% 0.19/0.55 cnf(c4,negated_conjecture,distinct_points(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c3])).
% 0.19/0.55 cnf(c5,negated_conjecture,apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)),inference(split_conjunct,status(thm),[c3])).
% 0.19/0.55 fof(con1,axiom,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(apart_point_and_line(Z,line_connecting(X,Y))=>(distinct_points(Z,X)&distinct_points(Z,Y))))))),input).
% 0.19/0.55 fof(c30,axiom,(![X]:(![Y]:(![Z]:(~distinct_points(X,Y)|(~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y))))))),inference(fof_nnf,status(thm),[con1])).
% 0.19/0.55 fof(c31,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|(![Z]:(~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y))))))),inference(shift_quantors,status(thm),[c30])).
% 0.19/0.55 fof(c33,axiom,(![X20]:(![X21]:(![X22]:(~distinct_points(X20,X21)|(~apart_point_and_line(X22,line_connecting(X20,X21))|(distinct_points(X22,X20)&distinct_points(X22,X21))))))),inference(shift_quantors,status(thm),[fof(c32,axiom,(![X20]:(![X21]:(~distinct_points(X20,X21)|(![X22]:(~apart_point_and_line(X22,line_connecting(X20,X21))|(distinct_points(X22,X20)&distinct_points(X22,X21))))))),inference(variable_rename,status(thm),[c31])).])).
% 0.19/0.55 fof(c34,axiom,(![X20]:(![X21]:(![X22]:((~distinct_points(X20,X21)|(~apart_point_and_line(X22,line_connecting(X20,X21))|distinct_points(X22,X20)))&(~distinct_points(X20,X21)|(~apart_point_and_line(X22,line_connecting(X20,X21))|distinct_points(X22,X21))))))),inference(distribute,status(thm),[c33])).
% 0.19/0.55 cnf(c35,axiom,~distinct_points(X76,X74)|~apart_point_and_line(X75,line_connecting(X76,X74))|distinct_points(X75,X76),inference(split_conjunct,status(thm),[c34])).
% 0.19/0.55 cnf(c99,plain,~distinct_points(skolem0001,skolem0002)|distinct_points(skolem0003,skolem0001),inference(resolution,status(thm),[c35, c5])).
% 0.19/0.55 cnf(c102,plain,distinct_points(skolem0003,skolem0001),inference(resolution,status(thm),[c99, c4])).
% 0.19/0.55 cnf(c6,negated_conjecture,~distinct_points(skolem0003,skolem0001)|~distinct_points(skolem0003,skolem0002),inference(split_conjunct,status(thm),[c3])).
% 0.19/0.55 cnf(c36,axiom,~distinct_points(X81,X79)|~apart_point_and_line(X80,line_connecting(X81,X79))|distinct_points(X80,X79),inference(split_conjunct,status(thm),[c34])).
% 0.19/0.55 cnf(c112,plain,~distinct_points(skolem0001,skolem0002)|distinct_points(skolem0003,skolem0002),inference(resolution,status(thm),[c36, c5])).
% 0.19/0.55 cnf(c130,plain,distinct_points(skolem0003,skolem0002),inference(resolution,status(thm),[c112, c4])).
% 0.19/0.55 cnf(c138,plain,~distinct_points(skolem0003,skolem0001),inference(resolution,status(thm),[c130, c6])).
% 0.19/0.55 cnf(c141,plain,$false,inference(resolution,status(thm),[c138, c102])).
% 0.19/0.55 # SZS output end CNFRefutation
% 0.19/0.55
% 0.19/0.55 # Initial clauses : 17
% 0.19/0.55 # Processed clauses : 34
% 0.19/0.55 # Factors computed : 5
% 0.19/0.55 # Resolvents computed: 93
% 0.19/0.55 # Tautologies deleted: 0
% 0.19/0.55 # Forward subsumed : 20
% 0.19/0.55 # Backward subsumed : 3
% 0.19/0.55 # -------- CPU Time ---------
% 0.19/0.55 # User time : 0.188 s
% 0.19/0.55 # System time : 0.021 s
% 0.19/0.55 # Total time : 0.208 s
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