TSTP Solution File: GEO225+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO225+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 05:59:31 EDT 2022
% Result : Theorem 0.18s 0.55s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO225+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n011.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 05:07:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.55 # Version: 1.3
% 0.18/0.55 # SZS status Theorem
% 0.18/0.55 # SZS output start CNFRefutation
% 0.18/0.55 fof(apart1,axiom,(![X]:(~distinct_points(X,X))),input).
% 0.18/0.55 fof(c79,axiom,(![X]:~distinct_points(X,X)),inference(fof_simplification,status(thm),[apart1])).
% 0.18/0.55 fof(c80,axiom,(![X46]:~distinct_points(X46,X46)),inference(variable_rename,status(thm),[c79])).
% 0.18/0.55 cnf(c81,axiom,~distinct_points(X50,X50),inference(split_conjunct,status(thm),[c80])).
% 0.18/0.55 fof(con,conjecture,(![A]:(![B]:(((point(A)&point(B))&distinct_points(A,B))=>(?[X]:(line(X)=>((~apart_point_and_line(A,X))&(~apart_point_and_line(B,X)))))))),input).
% 0.18/0.55 fof(c0,negated_conjecture,(~(![A]:(![B]:(((point(A)&point(B))&distinct_points(A,B))=>(?[X]:(line(X)=>((~apart_point_and_line(A,X))&(~apart_point_and_line(B,X))))))))),inference(assume_negation,status(cth),[con])).
% 0.18/0.55 fof(c1,negated_conjecture,(~(![A]:(![B]:(((point(A)&point(B))&distinct_points(A,B))=>(?[X]:(line(X)=>(~apart_point_and_line(A,X)&~apart_point_and_line(B,X)))))))),inference(fof_simplification,status(thm),[c0])).
% 0.18/0.55 fof(c2,negated_conjecture,(?[A]:(?[B]:(((point(A)&point(B))&distinct_points(A,B))&(![X]:(line(X)&(apart_point_and_line(A,X)|apart_point_and_line(B,X))))))),inference(fof_nnf,status(thm),[c1])).
% 0.18/0.55 fof(c3,negated_conjecture,(?[A]:(?[B]:(((point(A)&point(B))&distinct_points(A,B))&((![X]:line(X))&(![X]:(apart_point_and_line(A,X)|apart_point_and_line(B,X))))))),inference(shift_quantors,status(thm),[c2])).
% 0.18/0.55 fof(c4,negated_conjecture,(?[X2]:(?[X3]:(((point(X2)&point(X3))&distinct_points(X2,X3))&((![X4]:line(X4))&(![X5]:(apart_point_and_line(X2,X5)|apart_point_and_line(X3,X5))))))),inference(variable_rename,status(thm),[c3])).
% 0.18/0.55 fof(c6,negated_conjecture,(![X4]:(![X5]:(((point(skolem0001)&point(skolem0002))&distinct_points(skolem0001,skolem0002))&(line(X4)&(apart_point_and_line(skolem0001,X5)|apart_point_and_line(skolem0002,X5)))))),inference(shift_quantors,status(thm),[fof(c5,negated_conjecture,(((point(skolem0001)&point(skolem0002))&distinct_points(skolem0001,skolem0002))&((![X4]:line(X4))&(![X5]:(apart_point_and_line(skolem0001,X5)|apart_point_and_line(skolem0002,X5))))),inference(skolemize,status(esa),[c4])).])).
% 0.18/0.55 cnf(c9,negated_conjecture,distinct_points(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c6])).
% 0.18/0.55 fof(apart4,axiom,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(distinct_points(X,Z)|distinct_points(Y,Z)))))),input).
% 0.18/0.55 fof(c68,axiom,(![X]:(![Y]:(![Z]:(~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(fof_nnf,status(thm),[apart4])).
% 0.18/0.55 fof(c69,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|(![Z]:(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(shift_quantors,status(thm),[c68])).
% 0.18/0.55 fof(c71,axiom,(![X41]:(![X42]:(![X43]:(~distinct_points(X41,X42)|(distinct_points(X41,X43)|distinct_points(X42,X43)))))),inference(shift_quantors,status(thm),[fof(c70,axiom,(![X41]:(![X42]:(~distinct_points(X41,X42)|(![X43]:(distinct_points(X41,X43)|distinct_points(X42,X43)))))),inference(variable_rename,status(thm),[c69])).])).
% 0.18/0.55 cnf(c72,axiom,~distinct_points(X81,X82)|distinct_points(X81,X83)|distinct_points(X82,X83),inference(split_conjunct,status(thm),[c71])).
% 0.18/0.55 cnf(c90,plain,distinct_points(skolem0001,X84)|distinct_points(skolem0002,X84),inference(resolution,status(thm),[c72, c9])).
% 0.18/0.55 cnf(c92,plain,distinct_points(skolem0002,skolem0001),inference(resolution,status(thm),[c90, c81])).
% 0.18/0.55 fof(ci1,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(X,line_connecting(X,Y)))))),input).
% 0.18/0.55 fof(c54,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_simplification,status(thm),[ci1])).
% 0.18/0.55 fof(c55,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_nnf,status(thm),[c54])).
% 0.18/0.55 fof(c56,axiom,(![X33]:(![X34]:(~distinct_points(X33,X34)|~apart_point_and_line(X33,line_connecting(X33,X34))))),inference(variable_rename,status(thm),[c55])).
% 0.18/0.55 cnf(c57,axiom,~distinct_points(X60,X61)|~apart_point_and_line(X60,line_connecting(X60,X61)),inference(split_conjunct,status(thm),[c56])).
% 0.18/0.55 cnf(c11,negated_conjecture,apart_point_and_line(skolem0001,X51)|apart_point_and_line(skolem0002,X51),inference(split_conjunct,status(thm),[c6])).
% 0.18/0.55 fof(ci2,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(Y,line_connecting(X,Y)))))),input).
% 0.18/0.55 fof(c50,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_simplification,status(thm),[ci2])).
% 0.18/0.55 fof(c51,axiom,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_nnf,status(thm),[c50])).
% 0.18/0.55 fof(c52,axiom,(![X31]:(![X32]:(~distinct_points(X31,X32)|~apart_point_and_line(X32,line_connecting(X31,X32))))),inference(variable_rename,status(thm),[c51])).
% 0.18/0.55 cnf(c53,axiom,~distinct_points(X56,X57)|~apart_point_and_line(X57,line_connecting(X56,X57)),inference(split_conjunct,status(thm),[c52])).
% 0.18/0.55 cnf(c82,plain,~distinct_points(X88,skolem0001)|apart_point_and_line(skolem0002,line_connecting(X88,skolem0001)),inference(resolution,status(thm),[c53, c11])).
% 0.18/0.55 cnf(c98,plain,apart_point_and_line(skolem0002,line_connecting(skolem0002,skolem0001)),inference(resolution,status(thm),[c82, c92])).
% 0.18/0.55 cnf(c100,plain,~distinct_points(skolem0002,skolem0001),inference(resolution,status(thm),[c98, c57])).
% 0.18/0.55 cnf(c103,plain,$false,inference(resolution,status(thm),[c100, c92])).
% 0.18/0.55 # SZS output end CNFRefutation
% 0.18/0.55
% 0.18/0.55 # Initial clauses : 23
% 0.18/0.55 # Processed clauses : 25
% 0.18/0.55 # Factors computed : 0
% 0.18/0.55 # Resolvents computed: 22
% 0.18/0.55 # Tautologies deleted: 0
% 0.18/0.55 # Forward subsumed : 5
% 0.18/0.55 # Backward subsumed : 0
% 0.18/0.55 # -------- CPU Time ---------
% 0.18/0.55 # User time : 0.201 s
% 0.18/0.55 # System time : 0.011 s
% 0.18/0.55 # Total time : 0.212 s
%------------------------------------------------------------------------------