%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO212+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 17:21:31 EDT 2024
% Result : Theorem 0.61s 0.79s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO212+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 9 07:59:08 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.61/0.79 % Version: 1.5
% 0.61/0.79 % SZS status Theorem
% 0.61/0.79 % SZS output start CNFRefutation
% 0.61/0.79 fof(con,conjecture,(![L]:(![M]:(![N]:(unorthogonal_lines(L,M)=>(convergent_lines(L,N)|unorthogonal_lines(M,N)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.61/0.79 fof(c0,negated_conjecture,(~(![L]:(![M]:(![N]:(unorthogonal_lines(L,M)=>(convergent_lines(L,N)|unorthogonal_lines(M,N))))))),inference(assume_negation,[status(cth)],[con])).
% 0.61/0.79 fof(c1,negated_conjecture,(?[L]:(?[M]:(?[N]:(unorthogonal_lines(L,M)&(~convergent_lines(L,N)&~unorthogonal_lines(M,N)))))),inference(fof_nnf,[status(thm)],[c0])).
% 0.61/0.79 fof(c2,negated_conjecture,(?[L]:(?[M]:(unorthogonal_lines(L,M)&(?[N]:(~convergent_lines(L,N)&~unorthogonal_lines(M,N)))))),inference(shift_quantors,[status(thm)],[c1])).
% 0.61/0.79 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(unorthogonal_lines(X2,X3)&(?[X4]:(~convergent_lines(X2,X4)&~unorthogonal_lines(X3,X4)))))),inference(variable_rename,[status(thm)],[c2])).
% 0.61/0.79 fof(c4,negated_conjecture,(unorthogonal_lines(skolem0001,skolem0002)&(~convergent_lines(skolem0001,skolem0003)&~unorthogonal_lines(skolem0002,skolem0003))),inference(skolemize,[status(esa)],[c3])).
% 0.61/0.79 cnf(c7,negated_conjecture,~unorthogonal_lines(skolem0002,skolem0003),inference(split_conjunct,[status(thm)],[c4])).
% 0.61/0.79 cnf(c6,negated_conjecture,~convergent_lines(skolem0001,skolem0003),inference(split_conjunct,[status(thm)],[c4])).
% 0.61/0.79 cnf(c5,negated_conjecture,unorthogonal_lines(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c4])).
% 0.61/0.79 fof(oac1,axiom,(![L]:(![M]:(![N]:((convergent_lines(L,M)&unorthogonal_lines(L,M))=>((convergent_lines(L,N)&unorthogonal_lines(L,N))|(convergent_lines(M,N)&unorthogonal_lines(M,N))))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', oac1)).
% 0.61/0.79 fof(c19,plain,(![L]:(![M]:(![N]:((~convergent_lines(L,M)|~unorthogonal_lines(L,M))|((convergent_lines(L,N)&unorthogonal_lines(L,N))|(convergent_lines(M,N)&unorthogonal_lines(M,N))))))),inference(fof_nnf,[status(thm)],[oac1])).
% 0.61/0.79 fof(c20,plain,(![L]:(![M]:((~convergent_lines(L,M)|~unorthogonal_lines(L,M))|(![N]:((convergent_lines(L,N)&unorthogonal_lines(L,N))|(convergent_lines(M,N)&unorthogonal_lines(M,N))))))),inference(shift_quantors,[status(thm)],[c19])).
% 0.61/0.79 fof(c22,plain,(![X13]:(![X14]:(![X15]:((~convergent_lines(X13,X14)|~unorthogonal_lines(X13,X14))|((convergent_lines(X13,X15)&unorthogonal_lines(X13,X15))|(convergent_lines(X14,X15)&unorthogonal_lines(X14,X15))))))),inference(shift_quantors,[status(thm)],[fof(c21,plain,(![X13]:(![X14]:((~convergent_lines(X13,X14)|~unorthogonal_lines(X13,X14))|(![X15]:((convergent_lines(X13,X15)&unorthogonal_lines(X13,X15))|(convergent_lines(X14,X15)&unorthogonal_lines(X14,X15))))))),inference(variable_rename,[status(thm)],[c20])).])).
% 0.61/0.79 fof(c23,plain,(![X13]:(![X14]:(![X15]:((((~convergent_lines(X13,X14)|~unorthogonal_lines(X13,X14))|(convergent_lines(X13,X15)|convergent_lines(X14,X15)))&((~convergent_lines(X13,X14)|~unorthogonal_lines(X13,X14))|(convergent_lines(X13,X15)|unorthogonal_lines(X14,X15))))&(((~convergent_lines(X13,X14)|~unorthogonal_lines(X13,X14))|(unorthogonal_lines(X13,X15)|convergent_lines(X14,X15)))&((~convergent_lines(X13,X14)|~unorthogonal_lines(X13,X14))|(unorthogonal_lines(X13,X15)|unorthogonal_lines(X14,X15)))))))),inference(distribute,[status(thm)],[c22])).
% 0.61/0.79 cnf(c25,plain,~convergent_lines(X95,X93)|~unorthogonal_lines(X95,X93)|convergent_lines(X95,X94)|unorthogonal_lines(X93,X94),inference(split_conjunct,[status(thm)],[c23])).
% 0.61/0.79 cnf(c109,plain,~convergent_lines(skolem0001,skolem0002)|convergent_lines(skolem0001,X224)|unorthogonal_lines(skolem0002,X224),inference(resolution,[status(thm)],[c25, c5])).
% 0.61/0.79 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.61/0.79 fof(c88,plain,(![X]:~convergent_lines(X,X)),inference(fof_simplification,[status(thm)],[apart3])).
% 0.61/0.79 fof(c89,plain,(![X55]:~convergent_lines(X55,X55)),inference(variable_rename,[status(thm)],[c88])).
% 0.61/0.79 cnf(c90,plain,~convergent_lines(X58,X58),inference(split_conjunct,[status(thm)],[c89])).
% 0.61/0.79 fof(ax6,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ax6)).
% 0.61/0.79 fof(c73,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(fof_nnf,[status(thm)],[ax6])).
% 0.61/0.79 fof(c74,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(shift_quantors,[status(thm)],[c73])).
% 0.61/0.79 fof(c76,plain,(![X46]:(![X47]:(![X48]:(~convergent_lines(X46,X47)|(convergent_lines(X46,X48)|convergent_lines(X47,X48)))))),inference(shift_quantors,[status(thm)],[fof(c75,plain,(![X46]:(![X47]:(~convergent_lines(X46,X47)|(![X48]:(convergent_lines(X46,X48)|convergent_lines(X47,X48)))))),inference(variable_rename,[status(thm)],[c74])).])).
% 0.61/0.79 cnf(c77,plain,~convergent_lines(X116,X117)|convergent_lines(X116,X118)|convergent_lines(X117,X118),inference(split_conjunct,[status(thm)],[c76])).
% 0.61/0.79 fof(occu1,axiom,(![L]:(![M]:(convergent_lines(L,M)|unorthogonal_lines(L,M)))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', occu1)).
% 0.61/0.79 fof(c28,plain,(![X16]:(![X17]:(convergent_lines(X16,X17)|unorthogonal_lines(X16,X17)))),inference(variable_rename,[status(thm)],[occu1])).
% 0.61/0.79 cnf(c29,plain,convergent_lines(X70,X69)|unorthogonal_lines(X70,X69),inference(split_conjunct,[status(thm)],[c28])).
% 0.61/0.79 cnf(c101,plain,convergent_lines(skolem0002,skolem0003),inference(resolution,[status(thm)],[c29, c7])).
% 0.61/0.79 cnf(c132,plain,convergent_lines(skolem0002,X124)|convergent_lines(skolem0003,X124),inference(resolution,[status(thm)],[c77, c101])).
% 0.61/0.79 cnf(c144,plain,convergent_lines(skolem0002,X428)|convergent_lines(skolem0003,X429)|convergent_lines(X428,X429),inference(resolution,[status(thm)],[c132, c77])).
% 0.61/0.79 cnf(c755,plain,convergent_lines(skolem0002,X431)|convergent_lines(X431,skolem0003),inference(resolution,[status(thm)],[c144, c90])).
% 0.61/0.79 cnf(c771,plain,convergent_lines(skolem0002,skolem0001),inference(resolution,[status(thm)],[c755, c6])).
% 0.61/0.79 cnf(c785,plain,convergent_lines(skolem0002,X443)|convergent_lines(skolem0001,X443),inference(resolution,[status(thm)],[c771, c77])).
% 0.61/0.79 cnf(c797,plain,convergent_lines(skolem0001,skolem0002),inference(resolution,[status(thm)],[c785, c90])).
% 0.61/0.79 cnf(c810,plain,convergent_lines(skolem0001,X454)|unorthogonal_lines(skolem0002,X454),inference(resolution,[status(thm)],[c797, c109])).
% 0.61/0.79 cnf(c848,plain,unorthogonal_lines(skolem0002,skolem0003),inference(resolution,[status(thm)],[c810, c6])).
% 0.61/0.79 cnf(c861,plain,$false,inference(resolution,[status(thm)],[c848, c7])).
% 0.61/0.79 % SZS output end CNFRefutation
% 0.61/0.79
% 0.61/0.79 % Initial clauses : 28
% 0.61/0.79 % Processed clauses : 119
% 0.61/0.79 % Factors computed : 14
% 0.61/0.79 % Resolvents computed: 751
% 0.61/0.79 % Tautologies deleted: 4
% 0.61/0.79 % Forward subsumed : 130
% 0.61/0.79 % Backward subsumed : 3
% 0.61/0.79 % -------- CPU Time ---------
% 0.61/0.79 % User time : 0.438 s
% 0.61/0.79 % System time : 0.017 s
% 0.61/0.79 % Total time : 0.455 s
%------------------------------------------------------------------------------