%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO222+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : 300s
% DateTime : Thu May 9 17:21:36 EDT 2024
% Result : Theorem 21.90s 22.13s
% Output : Refutation 21.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO222+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n011.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 08:21:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 21.90/22.13 % Version: 1.5
% 21.90/22.13 % SZS status Theorem
% 21.90/22.13 % SZS output start CNFRefutation
% 21.90/22.13 fof(con,conjecture,(![A]:(![L]:parallel_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 21.90/22.13 fof(c0,negated_conjecture,(~(![A]:(![L]:parallel_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A))))),inference(assume_negation,[status(cth)],[con])).
% 21.90/22.13 fof(c1,negated_conjecture,(?[A]:(?[L]:~parallel_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)))),inference(fof_nnf,[status(thm)],[c0])).
% 21.90/22.13 fof(c2,negated_conjecture,(?[X2]:(?[X3]:~parallel_lines(X3,orthogonal_through_point(orthogonal_through_point(X3,X2),X2)))),inference(variable_rename,[status(thm)],[c1])).
% 21.90/22.13 fof(c3,negated_conjecture,~parallel_lines(skolem0002,orthogonal_through_point(orthogonal_through_point(skolem0002,skolem0001),skolem0001)),inference(skolemize,[status(esa)],[c2])).
% 21.90/22.13 cnf(c4,negated_conjecture,~parallel_lines(skolem0002,orthogonal_through_point(orthogonal_through_point(skolem0002,skolem0001),skolem0001)),inference(split_conjunct,[status(thm)],[c3])).
% 21.90/22.13 fof(a5,axiom,(![X]:(![Y]:(orthogonal_lines(X,Y)<=>(~unorthogonal_lines(X,Y))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax', a5)).
% 21.90/22.13 fof(c5,plain,(![X]:(![Y]:(orthogonal_lines(X,Y)<=>~unorthogonal_lines(X,Y)))),inference(fof_simplification,[status(thm)],[a5])).
% 21.90/22.13 fof(c6,plain,(![X]:(![Y]:((~orthogonal_lines(X,Y)|~unorthogonal_lines(X,Y))&(unorthogonal_lines(X,Y)|orthogonal_lines(X,Y))))),inference(fof_nnf,[status(thm)],[c5])).
% 21.90/22.13 fof(c7,plain,((![X]:(![Y]:(~orthogonal_lines(X,Y)|~unorthogonal_lines(X,Y))))&(![X]:(![Y]:(unorthogonal_lines(X,Y)|orthogonal_lines(X,Y))))),inference(shift_quantors,[status(thm)],[c6])).
% 21.90/22.13 fof(c9,plain,(![X4]:(![X5]:(![X6]:(![X7]:((~orthogonal_lines(X4,X5)|~unorthogonal_lines(X4,X5))&(unorthogonal_lines(X6,X7)|orthogonal_lines(X6,X7))))))),inference(shift_quantors,[status(thm)],[fof(c8,plain,((![X4]:(![X5]:(~orthogonal_lines(X4,X5)|~unorthogonal_lines(X4,X5))))&(![X6]:(![X7]:(unorthogonal_lines(X6,X7)|orthogonal_lines(X6,X7))))),inference(variable_rename,[status(thm)],[c7])).])).
% 21.90/22.13 cnf(c10,plain,~orthogonal_lines(X107,X106)|~unorthogonal_lines(X107,X106),inference(split_conjunct,[status(thm)],[c9])).
% 21.90/22.13 fof(ooc1,axiom,(![A]:(![L]:(~unorthogonal_lines(orthogonal_through_point(L,A),L)))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax', ooc1)).
% 21.90/22.13 fof(c76,plain,(![A]:(![L]:~unorthogonal_lines(orthogonal_through_point(L,A),L))),inference(fof_simplification,[status(thm)],[ooc1])).
% 21.90/22.13 fof(c77,plain,(![X46]:(![X47]:~unorthogonal_lines(orthogonal_through_point(X47,X46),X47))),inference(variable_rename,[status(thm)],[c76])).
% 21.90/22.13 cnf(c78,plain,~unorthogonal_lines(orthogonal_through_point(X101,X100),X101),inference(split_conjunct,[status(thm)],[c77])).
% 21.90/22.13 fof(a3,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>(~convergent_lines(X,Y))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax', a3)).
% 21.90/22.13 fof(c19,plain,(![X]:(![Y]:(parallel_lines(X,Y)<=>~convergent_lines(X,Y)))),inference(fof_simplification,[status(thm)],[a3])).
% 21.90/22.13 fof(c20,plain,(![X]:(![Y]:((~parallel_lines(X,Y)|~convergent_lines(X,Y))&(convergent_lines(X,Y)|parallel_lines(X,Y))))),inference(fof_nnf,[status(thm)],[c19])).
% 21.90/22.13 fof(c21,plain,((![X]:(![Y]:(~parallel_lines(X,Y)|~convergent_lines(X,Y))))&(![X]:(![Y]:(convergent_lines(X,Y)|parallel_lines(X,Y))))),inference(shift_quantors,[status(thm)],[c20])).
% 21.90/22.13 fof(c23,plain,(![X12]:(![X13]:(![X14]:(![X15]:((~parallel_lines(X12,X13)|~convergent_lines(X12,X13))&(convergent_lines(X14,X15)|parallel_lines(X14,X15))))))),inference(shift_quantors,[status(thm)],[fof(c22,plain,((![X12]:(![X13]:(~parallel_lines(X12,X13)|~convergent_lines(X12,X13))))&(![X14]:(![X15]:(convergent_lines(X14,X15)|parallel_lines(X14,X15))))),inference(variable_rename,[status(thm)],[c21])).])).
% 21.90/22.13 cnf(c25,plain,convergent_lines(X122,X123)|parallel_lines(X122,X123),inference(split_conjunct,[status(thm)],[c23])).
% 21.90/22.13 fof(couo1,axiom,(![L]:(![M]:(![N]:(((~unorthogonal_lines(L,M))&(~unorthogonal_lines(L,N)))=>(~convergent_lines(M,N)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax', couo1)).
% 21.90/22.13 fof(c52,plain,(![L]:(![M]:(![N]:((~unorthogonal_lines(L,M)&~unorthogonal_lines(L,N))=>~convergent_lines(M,N))))),inference(fof_simplification,[status(thm)],[couo1])).
% 21.90/22.13 fof(c53,plain,(![L]:(![M]:(![N]:((unorthogonal_lines(L,M)|unorthogonal_lines(L,N))|~convergent_lines(M,N))))),inference(fof_nnf,[status(thm)],[c52])).
% 21.90/22.13 fof(c54,plain,(![X32]:(![X33]:(![X34]:((unorthogonal_lines(X32,X33)|unorthogonal_lines(X32,X34))|~convergent_lines(X33,X34))))),inference(variable_rename,[status(thm)],[c53])).
% 21.90/22.13 cnf(c55,plain,unorthogonal_lines(X188,X189)|unorthogonal_lines(X188,X190)|~convergent_lines(X189,X190),inference(split_conjunct,[status(thm)],[c54])).
% 21.90/22.13 cnf(c200,plain,unorthogonal_lines(X560,X558)|unorthogonal_lines(X560,X559)|parallel_lines(X558,X559),inference(resolution,[status(thm)],[c55, c25])).
% 21.90/22.13 cnf(c546,plain,unorthogonal_lines(orthogonal_through_point(X631,X632),X630)|parallel_lines(X631,X630),inference(resolution,[status(thm)],[c200, c78])).
% 21.90/22.13 cnf(c643,plain,parallel_lines(X697,X696)|~orthogonal_lines(orthogonal_through_point(X697,X698),X696),inference(resolution,[status(thm)],[c546, c10])).
% 21.90/22.13 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart3)).
% 21.90/22.13 fof(c151,plain,(![X]:~convergent_lines(X,X)),inference(fof_simplification,[status(thm)],[apart3])).
% 21.90/22.13 fof(c152,plain,(![X92]:~convergent_lines(X92,X92)),inference(variable_rename,[status(thm)],[c151])).
% 21.90/22.13 cnf(c153,plain,~convergent_lines(X95,X95),inference(split_conjunct,[status(thm)],[c152])).
% 21.90/22.13 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax', p1)).
% 21.90/22.13 fof(c99,plain,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,[status(thm)],[p1])).
% 21.90/22.13 fof(c100,plain,(![X60]:(![X61]:(~distinct_lines(X60,X61)|convergent_lines(X60,X61)))),inference(variable_rename,[status(thm)],[c99])).
% 21.90/22.13 cnf(c101,plain,~distinct_lines(X161,X160)|convergent_lines(X161,X160),inference(split_conjunct,[status(thm)],[c100])).
% 21.90/22.13 fof(coipo1,axiom,(![L]:(![M]:(~((~convergent_lines(L,M))&(~unorthogonal_lines(L,M)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax', coipo1)).
% 21.90/22.13 fof(c64,plain,(![L]:(![M]:(~(~convergent_lines(L,M)&~unorthogonal_lines(L,M))))),inference(fof_simplification,[status(thm)],[coipo1])).
% 21.90/22.13 fof(c65,plain,(![L]:(![M]:(convergent_lines(L,M)|unorthogonal_lines(L,M)))),inference(fof_nnf,[status(thm)],[c64])).
% 21.90/22.13 fof(c66,plain,(![X38]:(![X39]:(convergent_lines(X38,X39)|unorthogonal_lines(X38,X39)))),inference(variable_rename,[status(thm)],[c65])).
% 21.90/22.13 cnf(c67,plain,convergent_lines(X138,X137)|unorthogonal_lines(X138,X137),inference(split_conjunct,[status(thm)],[c66])).
% 21.90/22.13 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 21.90/22.13 fof(c102,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,[status(thm)],[ceq3])).
% 21.90/22.13 fof(c103,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,[status(thm)],[c102])).
% 21.90/22.13 fof(c105,plain,(![X62]:(![X63]:(![X64]:(~convergent_lines(X62,X63)|(distinct_lines(X63,X64)|convergent_lines(X62,X64)))))),inference(shift_quantors,[status(thm)],[fof(c104,plain,(![X62]:(![X63]:(~convergent_lines(X62,X63)|(![X64]:(distinct_lines(X63,X64)|convergent_lines(X62,X64)))))),inference(variable_rename,[status(thm)],[c103])).])).
% 21.90/22.13 cnf(c106,plain,~convergent_lines(X336,X337)|distinct_lines(X337,X338)|convergent_lines(X336,X338),inference(split_conjunct,[status(thm)],[c105])).
% 21.90/22.13 cnf(c318,plain,distinct_lines(X762,X764)|convergent_lines(X763,X764)|unorthogonal_lines(X763,X762),inference(resolution,[status(thm)],[c106, c67])).
% 21.90/22.13 cnf(c763,plain,distinct_lines(X772,X771)|unorthogonal_lines(X771,X772),inference(resolution,[status(thm)],[c318, c153])).
% 21.90/22.13 cnf(c795,plain,unorthogonal_lines(X789,X790)|convergent_lines(X790,X789),inference(resolution,[status(thm)],[c763, c101])).
% 21.90/22.13 cnf(c11,plain,unorthogonal_lines(X109,X108)|orthogonal_lines(X109,X108),inference(split_conjunct,[status(thm)],[c9])).
% 21.90/22.13 fof(cotno1,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+4.ax', cotno1)).
% 21.90/22.13 fof(c56,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_simplification,[status(thm)],[cotno1])).
% 21.90/22.13 fof(c57,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)],[c56])).
% 21.90/22.13 fof(c58,plain,(![X35]:(![X36]:(![X37]:(((convergent_lines(X35,X36)&unorthogonal_lines(X35,X36))|(convergent_lines(X35,X37)&unorthogonal_lines(X35,X37)))|(~convergent_lines(X36,X37)|~unorthogonal_lines(X36,X37)))))),inference(variable_rename,[status(thm)],[c57])).
% 21.90/22.13 fof(c59,plain,(![X35]:(![X36]:(![X37]:((((convergent_lines(X35,X36)|convergent_lines(X35,X37))|(~convergent_lines(X36,X37)|~unorthogonal_lines(X36,X37)))&((convergent_lines(X35,X36)|unorthogonal_lines(X35,X37))|(~convergent_lines(X36,X37)|~unorthogonal_lines(X36,X37))))&(((unorthogonal_lines(X35,X36)|convergent_lines(X35,X37))|(~convergent_lines(X36,X37)|~unorthogonal_lines(X36,X37)))&((unorthogonal_lines(X35,X36)|unorthogonal_lines(X35,X37))|(~convergent_lines(X36,X37)|~unorthogonal_lines(X36,X37)))))))),inference(distribute,[status(thm)],[c58])).
% 21.90/22.13 cnf(c62,plain,unorthogonal_lines(X231,X229)|convergent_lines(X231,X230)|~convergent_lines(X229,X230)|~unorthogonal_lines(X229,X230),inference(split_conjunct,[status(thm)],[c59])).
% 21.90/22.13 cnf(c234,plain,unorthogonal_lines(X851,X849)|convergent_lines(X851,X850)|~convergent_lines(X849,X850)|orthogonal_lines(X849,X850),inference(resolution,[status(thm)],[c62, c11])).
% 21.90/22.13 cnf(c906,plain,unorthogonal_lines(X8565,X8564)|convergent_lines(X8565,X8563)|orthogonal_lines(X8564,X8563)|unorthogonal_lines(X8563,X8564),inference(resolution,[status(thm)],[c234, c795])).
% 21.90/22.13 cnf(c47655,plain,unorthogonal_lines(X8566,X8567)|orthogonal_lines(X8567,X8566),inference(resolution,[status(thm)],[c906, c153])).
% 21.90/22.13 cnf(c47763,plain,orthogonal_lines(X8569,orthogonal_through_point(X8569,X8570)),inference(resolution,[status(thm)],[c47655, c78])).
% 21.90/22.13 cnf(c47832,plain,parallel_lines(X8671,orthogonal_through_point(orthogonal_through_point(X8671,X8673),X8672)),inference(resolution,[status(thm)],[c47763, c643])).
% 21.90/22.13 cnf(c49012,plain,$false,inference(resolution,[status(thm)],[c47832, c4])).
% 21.90/22.13 % SZS output end CNFRefutation
% 21.90/22.13
% 21.90/22.13 % Initial clauses : 47
% 21.90/22.13 % Processed clauses : 773
% 21.90/22.13 % Factors computed : 143
% 21.90/22.13 % Resolvents computed: 48738
% 21.90/22.13 % Tautologies deleted: 12
% 21.90/22.13 % Forward subsumed : 2301
% 21.90/22.13 % Backward subsumed : 69
% 21.90/22.13 % -------- CPU Time ---------
% 21.90/22.13 % User time : 21.663 s
% 21.90/22.13 % System time : 0.119 s
% 21.90/22.13 % Total time : 21.782 s
%------------------------------------------------------------------------------