%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO206+2 : TPTP v8.1.2. 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 : 300s
% DateTime : Thu May 9 17:21:29 EDT 2024
% Result : Theorem 0.14s 0.47s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO206+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.09 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 300
% 0.10/0.28 % DateTime : Thu May 9 07:43:22 EDT 2024
% 0.10/0.28 % CPUTime :
% 0.14/0.47 % Version: 1.5
% 0.14/0.47 % SZS status Theorem
% 0.14/0.47 % SZS output start CNFRefutation
% 0.14/0.47 fof(con,conjecture,(![X]:(![Y]:(![Z]:(((~apart_point_and_line(X,Y))&(~convergent_lines(Y,Z)))=>(~distinct_lines(Y,parallel_through_point(Z,X))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.14/0.47 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:(((~apart_point_and_line(X,Y))&(~convergent_lines(Y,Z)))=>(~distinct_lines(Y,parallel_through_point(Z,X)))))))),inference(assume_negation,[status(cth)],[con])).
% 0.14/0.47 fof(c1,negated_conjecture,(~(![X]:(![Y]:(![Z]:((~apart_point_and_line(X,Y)&~convergent_lines(Y,Z))=>~distinct_lines(Y,parallel_through_point(Z,X))))))),inference(fof_simplification,[status(thm)],[c0])).
% 0.14/0.47 fof(c2,negated_conjecture,(?[X]:(?[Y]:(?[Z]:((~apart_point_and_line(X,Y)&~convergent_lines(Y,Z))&distinct_lines(Y,parallel_through_point(Z,X)))))),inference(fof_nnf,[status(thm)],[c1])).
% 0.14/0.47 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((~apart_point_and_line(X2,X3)&~convergent_lines(X3,X4))&distinct_lines(X3,parallel_through_point(X4,X2)))))),inference(variable_rename,[status(thm)],[c2])).
% 0.14/0.47 fof(c4,negated_conjecture,((~apart_point_and_line(skolem0001,skolem0002)&~convergent_lines(skolem0002,skolem0003))&distinct_lines(skolem0002,parallel_through_point(skolem0003,skolem0001))),inference(skolemize,[status(esa)],[c3])).
% 0.14/0.47 cnf(c6,negated_conjecture,~convergent_lines(skolem0002,skolem0003),inference(split_conjunct,[status(thm)],[c4])).
% 0.14/0.47 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax', cp1)).
% 0.14/0.47 fof(c14,plain,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,[status(thm)],[cp1])).
% 0.14/0.47 fof(c15,plain,(![X10]:(![X11]:~convergent_lines(parallel_through_point(X11,X10),X11))),inference(variable_rename,[status(thm)],[c14])).
% 0.14/0.47 cnf(c16,plain,~convergent_lines(parallel_through_point(X48,X47),X48),inference(split_conjunct,[status(thm)],[c15])).
% 0.14/0.47 fof(apart6,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart6)).
% 0.14/0.47 fof(c47,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(fof_nnf,[status(thm)],[apart6])).
% 0.14/0.47 fof(c48,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(shift_quantors,[status(thm)],[c47])).
% 0.14/0.47 fof(c50,plain,(![X30]:(![X31]:(![X32]:(~convergent_lines(X30,X31)|(convergent_lines(X30,X32)|convergent_lines(X31,X32)))))),inference(shift_quantors,[status(thm)],[fof(c49,plain,(![X30]:(![X31]:(~convergent_lines(X30,X31)|(![X32]:(convergent_lines(X30,X32)|convergent_lines(X31,X32)))))),inference(variable_rename,[status(thm)],[c48])).])).
% 0.14/0.47 cnf(c51,plain,~convergent_lines(X61,X60)|convergent_lines(X61,X62)|convergent_lines(X60,X62),inference(split_conjunct,[status(thm)],[c50])).
% 0.14/0.47 cnf(c5,negated_conjecture,~apart_point_and_line(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c4])).
% 0.14/0.47 fof(cp2,axiom,(![X]:(![Y]:(~apart_point_and_line(X,parallel_through_point(Y,X))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax', cp2)).
% 0.14/0.47 fof(c11,plain,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,[status(thm)],[cp2])).
% 0.14/0.47 fof(c12,plain,(![X8]:(![X9]:~apart_point_and_line(X8,parallel_through_point(X9,X8)))),inference(variable_rename,[status(thm)],[c11])).
% 0.14/0.47 cnf(c13,plain,~apart_point_and_line(X46,parallel_through_point(X45,X46)),inference(split_conjunct,[status(thm)],[c12])).
% 0.14/0.47 cnf(c7,negated_conjecture,distinct_lines(skolem0002,parallel_through_point(skolem0003,skolem0001)),inference(split_conjunct,[status(thm)],[c4])).
% 0.14/0.47 fof(cup1,axiom,(![X]:(![Y]:(![Z]:(distinct_lines(Y,Z)=>((apart_point_and_line(X,Y)|apart_point_and_line(X,Z))|convergent_lines(Y,Z)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax', cup1)).
% 0.14/0.47 fof(c8,plain,(![X]:(![Y]:(![Z]:(~distinct_lines(Y,Z)|((apart_point_and_line(X,Y)|apart_point_and_line(X,Z))|convergent_lines(Y,Z)))))),inference(fof_nnf,[status(thm)],[cup1])).
% 0.14/0.47 fof(c9,plain,(![X5]:(![X6]:(![X7]:(~distinct_lines(X6,X7)|((apart_point_and_line(X5,X6)|apart_point_and_line(X5,X7))|convergent_lines(X6,X7)))))),inference(variable_rename,[status(thm)],[c8])).
% 0.14/0.47 cnf(c10,plain,~distinct_lines(X59,X58)|apart_point_and_line(X57,X59)|apart_point_and_line(X57,X58)|convergent_lines(X59,X58),inference(split_conjunct,[status(thm)],[c9])).
% 0.14/0.47 cnf(c71,plain,apart_point_and_line(X91,skolem0002)|apart_point_and_line(X91,parallel_through_point(skolem0003,skolem0001))|convergent_lines(skolem0002,parallel_through_point(skolem0003,skolem0001)),inference(resolution,[status(thm)],[c10, c7])).
% 0.14/0.47 cnf(c112,plain,apart_point_and_line(skolem0001,skolem0002)|convergent_lines(skolem0002,parallel_through_point(skolem0003,skolem0001)),inference(resolution,[status(thm)],[c71, c13])).
% 0.14/0.47 cnf(c119,plain,convergent_lines(skolem0002,parallel_through_point(skolem0003,skolem0001)),inference(resolution,[status(thm)],[c112, c5])).
% 0.14/0.47 cnf(c126,plain,convergent_lines(skolem0002,X96)|convergent_lines(parallel_through_point(skolem0003,skolem0001),X96),inference(resolution,[status(thm)],[c119, c51])).
% 0.14/0.47 cnf(c154,plain,convergent_lines(skolem0002,skolem0003),inference(resolution,[status(thm)],[c126, c16])).
% 0.14/0.47 cnf(c159,plain,$false,inference(resolution,[status(thm)],[c154, c6])).
% 0.14/0.47 % SZS output end CNFRefutation
% 0.14/0.47
% 0.14/0.47 % Initial clauses : 20
% 0.14/0.47 % Processed clauses : 30
% 0.14/0.47 % Factors computed : 3
% 0.14/0.47 % Resolvents computed: 87
% 0.14/0.47 % Tautologies deleted: 0
% 0.14/0.47 % Forward subsumed : 8
% 0.14/0.47 % Backward subsumed : 2
% 0.14/0.47 % -------- CPU Time ---------
% 0.14/0.47 % User time : 0.171 s
% 0.14/0.47 % System time : 0.016 s
% 0.14/0.47 % Total time : 0.187 s
%------------------------------------------------------------------------------