%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO225+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.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 : 300s
% DateTime : Thu May 9 17:21:37 EDT 2024
% Result : Theorem 0.41s 0.56s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO225+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n024.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 : 300
% 0.13/0.34 % DateTime : Thu May 9 08:08:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.41/0.56 % Version: 1.5
% 0.41/0.56 % SZS status Theorem
% 0.41/0.56 % SZS output start CNFRefutation
% 0.41/0.56 fof(apart1,axiom,(![X]:(~distinct_points(X,X))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart1)).
% 0.41/0.56 fof(c79,plain,(![X]:~distinct_points(X,X)),inference(fof_simplification,[status(thm)],[apart1])).
% 0.41/0.56 fof(c80,plain,(![X46]:~distinct_points(X46,X46)),inference(variable_rename,[status(thm)],[c79])).
% 0.41/0.56 cnf(c81,plain,~distinct_points(X50,X50),inference(split_conjunct,[status(thm)],[c80])).
% 0.41/0.56 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)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.41/0.56 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])).
% 0.41/0.56 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])).
% 0.41/0.56 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])).
% 0.41/0.56 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])).
% 0.41/0.56 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])).
% 0.41/0.56 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])).])).
% 0.41/0.56 cnf(c9,negated_conjecture,distinct_points(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c6])).
% 0.41/0.56 fof(apart4,axiom,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(distinct_points(X,Z)|distinct_points(Y,Z)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart4)).
% 0.41/0.56 fof(c68,plain,(![X]:(![Y]:(![Z]:(~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(fof_nnf,[status(thm)],[apart4])).
% 0.41/0.56 fof(c69,plain,(![X]:(![Y]:(~distinct_points(X,Y)|(![Z]:(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(shift_quantors,[status(thm)],[c68])).
% 0.41/0.56 fof(c71,plain,(![X41]:(![X42]:(![X43]:(~distinct_points(X41,X42)|(distinct_points(X41,X43)|distinct_points(X42,X43)))))),inference(shift_quantors,[status(thm)],[fof(c70,plain,(![X41]:(![X42]:(~distinct_points(X41,X42)|(![X43]:(distinct_points(X41,X43)|distinct_points(X42,X43)))))),inference(variable_rename,[status(thm)],[c69])).])).
% 0.41/0.56 cnf(c72,plain,~distinct_points(X83,X81)|distinct_points(X83,X82)|distinct_points(X81,X82),inference(split_conjunct,[status(thm)],[c71])).
% 0.41/0.56 cnf(c90,plain,distinct_points(skolem0001,X84)|distinct_points(skolem0002,X84),inference(resolution,[status(thm)],[c72, c9])).
% 0.41/0.56 cnf(c91,plain,distinct_points(skolem0002,skolem0001),inference(resolution,[status(thm)],[c90, c81])).
% 0.41/0.56 fof(ci1,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(X,line_connecting(X,Y)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci1)).
% 0.41/0.56 fof(c54,plain,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_simplification,[status(thm)],[ci1])).
% 0.41/0.56 fof(c55,plain,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_nnf,[status(thm)],[c54])).
% 0.41/0.56 fof(c56,plain,(![X33]:(![X34]:(~distinct_points(X33,X34)|~apart_point_and_line(X33,line_connecting(X33,X34))))),inference(variable_rename,[status(thm)],[c55])).
% 0.41/0.56 cnf(c57,plain,~distinct_points(X61,X60)|~apart_point_and_line(X61,line_connecting(X61,X60)),inference(split_conjunct,[status(thm)],[c56])).
% 0.41/0.56 cnf(c11,negated_conjecture,apart_point_and_line(skolem0001,X51)|apart_point_and_line(skolem0002,X51),inference(split_conjunct,[status(thm)],[c6])).
% 0.41/0.56 fof(ci2,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(Y,line_connecting(X,Y)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci2)).
% 0.41/0.56 fof(c50,plain,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_simplification,[status(thm)],[ci2])).
% 0.41/0.56 fof(c51,plain,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_nnf,[status(thm)],[c50])).
% 0.41/0.56 fof(c52,plain,(![X31]:(![X32]:(~distinct_points(X31,X32)|~apart_point_and_line(X32,line_connecting(X31,X32))))),inference(variable_rename,[status(thm)],[c51])).
% 0.41/0.56 cnf(c53,plain,~distinct_points(X56,X57)|~apart_point_and_line(X57,line_connecting(X56,X57)),inference(split_conjunct,[status(thm)],[c52])).
% 0.41/0.56 cnf(c82,plain,~distinct_points(X88,skolem0001)|apart_point_and_line(skolem0002,line_connecting(X88,skolem0001)),inference(resolution,[status(thm)],[c53, c11])).
% 0.41/0.56 cnf(c98,plain,apart_point_and_line(skolem0002,line_connecting(skolem0002,skolem0001)),inference(resolution,[status(thm)],[c82, c91])).
% 0.41/0.56 cnf(c101,plain,~distinct_points(skolem0002,skolem0001),inference(resolution,[status(thm)],[c98, c57])).
% 0.41/0.56 cnf(c103,plain,$false,inference(resolution,[status(thm)],[c101, c91])).
% 0.41/0.56 % SZS output end CNFRefutation
% 0.41/0.56
% 0.41/0.56 % Initial clauses : 23
% 0.41/0.56 % Processed clauses : 25
% 0.41/0.56 % Factors computed : 0
% 0.41/0.56 % Resolvents computed: 22
% 0.41/0.56 % Tautologies deleted: 0
% 0.41/0.56 % Forward subsumed : 5
% 0.41/0.56 % Backward subsumed : 0
% 0.41/0.56 % -------- CPU Time ---------
% 0.41/0.56 % User time : 0.193 s
% 0.41/0.56 % System time : 0.015 s
% 0.41/0.56 % Total time : 0.208 s
%------------------------------------------------------------------------------