%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO212+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n002.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 0.69s 0.87s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO212+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 9 08:00:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.69/0.87 % Version: 1.5
% 0.69/0.87 % SZS status Theorem
% 0.69/0.87 % SZS output start CNFRefutation
% 0.69/0.87 fof(con,conjecture,(![L]:(![M]:(![N]:(unorthogonal_lines(L,M)=>(convergent_lines(L,N)|unorthogonal_lines(M,N)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.69/0.87 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])).
% 0.69/0.87 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])).
% 0.69/0.87 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])).
% 0.69/0.87 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])).
% 0.69/0.87 fof(c4,negated_conjecture,(unorthogonal_lines(skolem0001,skolem0002)&(~convergent_lines(skolem0001,skolem0003)&~unorthogonal_lines(skolem0002,skolem0003))),inference(skolemize,[status(esa)],[c3])).
% 0.69/0.87 cnf(c7,negated_conjecture,~unorthogonal_lines(skolem0002,skolem0003),inference(split_conjunct,[status(thm)],[c4])).
% 0.69/0.87 cnf(c6,negated_conjecture,~convergent_lines(skolem0001,skolem0003),inference(split_conjunct,[status(thm)],[c4])).
% 0.69/0.87 cnf(c5,negated_conjecture,unorthogonal_lines(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c4])).
% 0.69/0.87 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/sandbox/benchmark/Axioms/GEO006+3.ax', oac1)).
% 0.69/0.87 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])).
% 0.69/0.87 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])).
% 0.69/0.87 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])).])).
% 0.69/0.87 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])).
% 0.69/0.87 cnf(c25,plain,~convergent_lines(X88,X90)|~unorthogonal_lines(X88,X90)|convergent_lines(X88,X89)|unorthogonal_lines(X90,X89),inference(split_conjunct,[status(thm)],[c23])).
% 0.69/0.87 cnf(c115,plain,~convergent_lines(skolem0001,skolem0002)|convergent_lines(skolem0001,X307)|unorthogonal_lines(skolem0002,X307),inference(resolution,[status(thm)],[c25, c5])).
% 0.69/0.87 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart3)).
% 0.69/0.87 fof(c84,plain,(![X]:~convergent_lines(X,X)),inference(fof_simplification,[status(thm)],[apart3])).
% 0.69/0.87 fof(c85,plain,(![X52]:~convergent_lines(X52,X52)),inference(variable_rename,[status(thm)],[c84])).
% 0.69/0.87 cnf(c86,plain,~convergent_lines(X55,X55),inference(split_conjunct,[status(thm)],[c85])).
% 0.69/0.87 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)).
% 0.69/0.87 fof(c69,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(fof_nnf,[status(thm)],[apart6])).
% 0.69/0.87 fof(c70,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(shift_quantors,[status(thm)],[c69])).
% 0.69/0.87 fof(c72,plain,(![X43]:(![X44]:(![X45]:(~convergent_lines(X43,X44)|(convergent_lines(X43,X45)|convergent_lines(X44,X45)))))),inference(shift_quantors,[status(thm)],[fof(c71,plain,(![X43]:(![X44]:(~convergent_lines(X43,X44)|(![X45]:(convergent_lines(X43,X45)|convergent_lines(X44,X45)))))),inference(variable_rename,[status(thm)],[c70])).])).
% 0.69/0.87 cnf(c73,plain,~convergent_lines(X105,X103)|convergent_lines(X105,X104)|convergent_lines(X103,X104),inference(split_conjunct,[status(thm)],[c72])).
% 0.69/0.87 fof(occu1,axiom,(![L]:(![M]:(convergent_lines(L,M)|unorthogonal_lines(L,M)))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax', occu1)).
% 0.69/0.87 fof(c28,plain,(![X16]:(![X17]:(convergent_lines(X16,X17)|unorthogonal_lines(X16,X17)))),inference(variable_rename,[status(thm)],[occu1])).
% 0.69/0.87 cnf(c29,plain,convergent_lines(X67,X66)|unorthogonal_lines(X67,X66),inference(split_conjunct,[status(thm)],[c28])).
% 0.69/0.87 cnf(c96,plain,convergent_lines(skolem0002,skolem0003),inference(resolution,[status(thm)],[c29, c7])).
% 0.69/0.87 cnf(c127,plain,convergent_lines(skolem0002,X106)|convergent_lines(skolem0003,X106),inference(resolution,[status(thm)],[c73, c96])).
% 0.69/0.87 cnf(c132,plain,convergent_lines(skolem0002,X402)|convergent_lines(skolem0003,X403)|convergent_lines(X402,X403),inference(resolution,[status(thm)],[c127, c73])).
% 0.69/0.87 cnf(c559,plain,convergent_lines(skolem0002,X416)|convergent_lines(X416,skolem0003),inference(resolution,[status(thm)],[c132, c86])).
% 0.69/0.87 cnf(c597,plain,convergent_lines(skolem0002,skolem0001),inference(resolution,[status(thm)],[c559, c6])).
% 0.69/0.87 cnf(c602,plain,convergent_lines(skolem0002,X433)|convergent_lines(skolem0001,X433),inference(resolution,[status(thm)],[c597, c73])).
% 0.69/0.87 cnf(c656,plain,convergent_lines(skolem0001,skolem0002),inference(resolution,[status(thm)],[c602, c86])).
% 0.69/0.87 cnf(c668,plain,convergent_lines(skolem0001,X454)|unorthogonal_lines(skolem0002,X454),inference(resolution,[status(thm)],[c656, c115])).
% 0.69/0.87 cnf(c813,plain,unorthogonal_lines(skolem0002,skolem0003),inference(resolution,[status(thm)],[c668, c6])).
% 0.69/0.87 cnf(c824,plain,$false,inference(resolution,[status(thm)],[c813, c7])).
% 0.69/0.87 % SZS output end CNFRefutation
% 0.69/0.87
% 0.69/0.87 % Initial clauses : 28
% 0.69/0.87 % Processed clauses : 113
% 0.69/0.87 % Factors computed : 16
% 0.69/0.87 % Resolvents computed: 716
% 0.69/0.87 % Tautologies deleted: 4
% 0.69/0.87 % Forward subsumed : 144
% 0.69/0.87 % Backward subsumed : 4
% 0.69/0.87 % -------- CPU Time ---------
% 0.69/0.87 % User time : 0.499 s
% 0.69/0.87 % System time : 0.009 s
% 0.69/0.87 % Total time : 0.508 s
%------------------------------------------------------------------------------