TSTP Solution File: GEO188+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO188+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n032.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 05:59:02 EDT 2022
% Result : Theorem 85.00s 85.22s
% Output : Refutation 85.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO188+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.09 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Sat Jun 18 10:50:46 EDT 2022
% 0.09/0.29 % CPUTime :
% 85.00/85.22 # Version: 1.3
% 85.00/85.22 # SZS status Theorem
% 85.00/85.22 # SZS output start CNFRefutation
% 85.00/85.22 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(X,line_connecting(Z,Y))))))),input).
% 85.00/85.22 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(X,line_connecting(Z,Y)))))))),inference(assume_negation,status(cth),[con])).
% 85.00/85.22 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(X,line_connecting(Z,Y))))))),inference(fof_simplification,status(thm),[c0])).
% 85.00/85.22 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(X,line_connecting(Z,Y)))))),inference(fof_nnf,status(thm),[c1])).
% 85.00/85.22 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(X2,line_connecting(X4,X3)))))),inference(variable_rename,status(thm),[c2])).
% 85.00/85.22 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(skolem0001,line_connecting(skolem0003,skolem0002))),inference(skolemize,status(esa),[c3])).
% 85.00/85.22 cnf(c5,negated_conjecture,distinct_points(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c4])).
% 85.00/85.22 fof(ci2,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(Y,line_connecting(X,Y)))))),input).
% 85.00/85.22 fof(c36,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_simplification,status(thm),[ci2])).
% 85.00/85.22 fof(c37,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_nnf,status(thm),[c36])).
% 85.00/85.22 fof(c38,axiom,(![X22]:(![X23]:(~distinct_points(X22,X23)|~apart_point_and_line(X23,line_connecting(X22,X23))))),inference(variable_rename,status(thm),[c37])).
% 85.00/85.22 cnf(c39,axiom,~distinct_points(X46,X45)|~apart_point_and_line(X45,line_connecting(X46,X45)),inference(split_conjunct,status(thm),[c38])).
% 85.00/85.22 fof(ci1,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(X,line_connecting(X,Y)))))),input).
% 85.00/85.22 fof(c40,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_simplification,status(thm),[ci1])).
% 85.00/85.22 fof(c41,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_nnf,status(thm),[c40])).
% 85.00/85.22 fof(c42,axiom,(![X24]:(![X25]:(~distinct_points(X24,X25)|~apart_point_and_line(X24,line_connecting(X24,X25))))),inference(variable_rename,status(thm),[c41])).
% 85.00/85.22 cnf(c43,axiom,~distinct_points(X51,X50)|~apart_point_and_line(X51,line_connecting(X51,X50)),inference(split_conjunct,status(thm),[c42])).
% 85.00/85.22 cnf(c8,negated_conjecture,~apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)),inference(split_conjunct,status(thm),[c4])).
% 85.00/85.22 fof(apart1,axiom,(![X]:(~distinct_points(X,X))),input).
% 85.00/85.22 fof(c65,axiom,(![X]:~distinct_points(X,X)),inference(fof_simplification,status(thm),[apart1])).
% 85.00/85.22 fof(c66,axiom,(![X37]:~distinct_points(X37,X37)),inference(variable_rename,status(thm),[c65])).
% 85.00/85.22 cnf(c67,axiom,~distinct_points(X40,X40),inference(split_conjunct,status(thm),[c66])).
% 85.00/85.22 cnf(c7,negated_conjecture,distinct_points(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c4])).
% 85.00/85.22 fof(apart4,axiom,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(distinct_points(X,Z)|distinct_points(Y,Z)))))),input).
% 85.00/85.22 fof(c54,axiom,(![X]:(![Y]:(![Z]:(~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(fof_nnf,status(thm),[apart4])).
% 85.00/85.22 fof(c55,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|(![Z]:(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(shift_quantors,status(thm),[c54])).
% 85.00/85.22 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])).])).
% 85.00/85.22 cnf(c58,axiom,~distinct_points(X70,X68)|distinct_points(X70,X69)|distinct_points(X68,X69),inference(split_conjunct,status(thm),[c57])).
% 85.00/85.22 cnf(c72,plain,distinct_points(skolem0002,X74)|distinct_points(skolem0003,X74),inference(resolution,status(thm),[c58, c7])).
% 85.00/85.22 cnf(c90,plain,distinct_points(skolem0003,skolem0002),inference(resolution,status(thm),[c72, c67])).
% 85.00/85.22 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).
% 85.00/85.22 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])).
% 85.00/85.22 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])).
% 85.00/85.22 cnf(c27,axiom,~distinct_points(X66,X64)|~distinct_lines(X67,X65)|apart_point_and_line(X66,X67)|apart_point_and_line(X66,X65)|apart_point_and_line(X64,X67)|apart_point_and_line(X64,X65),inference(split_conjunct,status(thm),[c26])).
% 85.00/85.22 cnf(c9,negated_conjecture,apart_point_and_line(skolem0001,line_connecting(skolem0003,skolem0002)),inference(split_conjunct,status(thm),[c4])).
% 85.00/85.22 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),input).
% 85.00/85.22 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])).
% 85.00/85.22 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])).
% 85.00/85.22 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])).])).
% 85.00/85.22 cnf(c19,axiom,~apart_point_and_line(X53,X52)|distinct_lines(X52,X54)|apart_point_and_line(X53,X54),inference(split_conjunct,status(thm),[c18])).
% 85.00/85.22 cnf(c68,plain,distinct_lines(line_connecting(skolem0003,skolem0002),X73)|apart_point_and_line(skolem0001,X73),inference(resolution,status(thm),[c19, c9])).
% 85.00/85.22 cnf(c84,plain,apart_point_and_line(skolem0001,X105)|~distinct_points(X106,X107)|apart_point_and_line(X106,line_connecting(skolem0003,skolem0002))|apart_point_and_line(X106,X105)|apart_point_and_line(X107,line_connecting(skolem0003,skolem0002))|apart_point_and_line(X107,X105),inference(resolution,status(thm),[c68, c27])).
% 85.00/85.22 cnf(c163,plain,apart_point_and_line(skolem0001,X361)|apart_point_and_line(skolem0002,line_connecting(skolem0003,skolem0002))|apart_point_and_line(skolem0002,X361)|apart_point_and_line(skolem0003,line_connecting(skolem0003,skolem0002))|apart_point_and_line(skolem0003,X361),inference(resolution,status(thm),[c84, c7])).
% 85.00/85.22 cnf(c1252,plain,apart_point_and_line(skolem0001,X9447)|apart_point_and_line(skolem0002,X9447)|apart_point_and_line(skolem0003,line_connecting(skolem0003,skolem0002))|apart_point_and_line(skolem0003,X9447)|~distinct_points(skolem0003,skolem0002),inference(resolution,status(thm),[c163, c39])).
% 85.00/85.22 cnf(c71689,plain,apart_point_and_line(skolem0001,X9886)|apart_point_and_line(skolem0002,X9886)|apart_point_and_line(skolem0003,line_connecting(skolem0003,skolem0002))|apart_point_and_line(skolem0003,X9886),inference(resolution,status(thm),[c1252, c90])).
% 85.00/85.22 cnf(c103507,plain,apart_point_and_line(skolem0001,X9887)|apart_point_and_line(skolem0002,X9887)|apart_point_and_line(skolem0003,X9887)|~distinct_points(skolem0003,skolem0002),inference(resolution,status(thm),[c71689, c43])).
% 85.00/85.22 cnf(c104108,plain,apart_point_and_line(skolem0001,X9888)|apart_point_and_line(skolem0002,X9888)|apart_point_and_line(skolem0003,X9888),inference(resolution,status(thm),[c103507, c90])).
% 85.00/85.22 cnf(c104239,plain,apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002))|apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002)),inference(resolution,status(thm),[c104108, c8])).
% 85.00/85.22 cnf(c104739,plain,apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))|~distinct_points(skolem0001,skolem0002),inference(resolution,status(thm),[c104239, c43])).
% 85.00/85.22 cnf(c105352,plain,apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002)),inference(resolution,status(thm),[c104739, c5])).
% 85.00/85.22 cnf(c105478,plain,~distinct_points(skolem0001,skolem0002),inference(resolution,status(thm),[c105352, c39])).
% 85.00/85.22 cnf(c106160,plain,$false,inference(resolution,status(thm),[c105478, c5])).
% 85.00/85.22 # SZS output end CNFRefutation
% 85.00/85.22
% 85.00/85.22 # Initial clauses : 19
% 85.00/85.22 # Processed clauses : 741
% 85.00/85.22 # Factors computed : 2049
% 85.00/85.22 # Resolvents computed: 104169
% 85.00/85.22 # Tautologies deleted: 0
% 85.00/85.22 # Forward subsumed : 4408
% 85.00/85.22 # Backward subsumed : 38
% 85.00/85.22 # -------- CPU Time ---------
% 85.00/85.22 # User time : 84.527 s
% 85.00/85.22 # System time : 0.345 s
% 85.00/85.22 # Total time : 84.872 s
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