TSTP Solution File: GEO620+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO620+1 : TPTP v8.1.0. Released v7.5.0.
% 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  : 600s
% DateTime : Sat Jul 16 06:01:12 EDT 2022

% Result   : Theorem 5.33s 5.49s
% Output   : Refutation 5.33s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL8110982,conjecture,
    ! [A,B,C,O,I,E,J,L] :
      ( ( eqangle(O,A,A,B,O,A,A,C)
        & eqangle(O,B,B,C,O,B,B,A)
        & eqangle(O,C,C,A,O,C,C,B)
        & perp(I,C,A,O)
        & coll(I,A,O)
        & perp(A,O,A,E)
        & perp(J,C,A,E)
        & coll(J,A,E)
        & perp(L,C,B,O)
        & coll(L,B,O) )
     => coll(I,L,J) ),
    input ).

fof(c11,negated_conjecture,
    ~ ! [A,B,C,O,I,E,J,L] :
        ( ( eqangle(O,A,A,B,O,A,A,C)
          & eqangle(O,B,B,C,O,B,B,A)
          & eqangle(O,C,C,A,O,C,C,B)
          & perp(I,C,A,O)
          & coll(I,A,O)
          & perp(A,O,A,E)
          & perp(J,C,A,E)
          & coll(J,A,E)
          & perp(L,C,B,O)
          & coll(L,B,O) )
       => coll(I,L,J) ),
    inference(assume_negation,status(cth),[exemplo6GDDFULL8110982]) ).

fof(c12,negated_conjecture,
    ? [A,B,C,O,I,E,J,L] :
      ( eqangle(O,A,A,B,O,A,A,C)
      & eqangle(O,B,B,C,O,B,B,A)
      & eqangle(O,C,C,A,O,C,C,B)
      & perp(I,C,A,O)
      & coll(I,A,O)
      & perp(A,O,A,E)
      & perp(J,C,A,E)
      & coll(J,A,E)
      & perp(L,C,B,O)
      & coll(L,B,O)
      & ~ coll(I,L,J) ),
    inference(fof_nnf,status(thm),[c11]) ).

fof(c13,negated_conjecture,
    ? [X2,X3,X4,X5,X6,X7,X8,X9] :
      ( eqangle(X5,X2,X2,X3,X5,X2,X2,X4)
      & eqangle(X5,X3,X3,X4,X5,X3,X3,X2)
      & eqangle(X5,X4,X4,X2,X5,X4,X4,X3)
      & perp(X6,X4,X2,X5)
      & coll(X6,X2,X5)
      & perp(X2,X5,X2,X7)
      & perp(X8,X4,X2,X7)
      & coll(X8,X2,X7)
      & perp(X9,X4,X3,X5)
      & coll(X9,X3,X5)
      & ~ coll(X6,X9,X8) ),
    inference(variable_rename,status(thm),[c12]) ).

fof(c14,negated_conjecture,
    ( eqangle(skolem0004,skolem0001,skolem0001,skolem0002,skolem0004,skolem0001,skolem0001,skolem0003)
    & eqangle(skolem0004,skolem0002,skolem0002,skolem0003,skolem0004,skolem0002,skolem0002,skolem0001)
    & eqangle(skolem0004,skolem0003,skolem0003,skolem0001,skolem0004,skolem0003,skolem0003,skolem0002)
    & perp(skolem0005,skolem0003,skolem0001,skolem0004)
    & coll(skolem0005,skolem0001,skolem0004)
    & perp(skolem0001,skolem0004,skolem0001,skolem0006)
    & perp(skolem0007,skolem0003,skolem0001,skolem0006)
    & coll(skolem0007,skolem0001,skolem0006)
    & perp(skolem0008,skolem0003,skolem0002,skolem0004)
    & coll(skolem0008,skolem0002,skolem0004)
    & ~ coll(skolem0005,skolem0008,skolem0007) ),
    inference(skolemize,status(esa),[c13]) ).

cnf(c25,negated_conjecture,
    ~ coll(skolem0005,skolem0008,skolem0007),
    inference(split_conjunct,status(thm),[c14]) ).

fof(ruleD1,axiom,
    ! [A,B,C] :
      ( coll(A,B,C)
     => coll(A,C,B) ),
    input ).

fof(c408,axiom,
    ! [A,B,C] :
      ( ~ coll(A,B,C)
      | coll(A,C,B) ),
    inference(fof_nnf,status(thm),[ruleD1]) ).

fof(c409,axiom,
    ! [X528,X529,X530] :
      ( ~ coll(X528,X529,X530)
      | coll(X528,X530,X529) ),
    inference(variable_rename,status(thm),[c408]) ).

cnf(c410,axiom,
    ( ~ coll(X571,X572,X573)
    | coll(X571,X573,X572) ),
    inference(split_conjunct,status(thm),[c409]) ).

fof(ruleD2,axiom,
    ! [A,B,C] :
      ( coll(A,B,C)
     => coll(B,A,C) ),
    input ).

fof(c405,axiom,
    ! [A,B,C] :
      ( ~ coll(A,B,C)
      | coll(B,A,C) ),
    inference(fof_nnf,status(thm),[ruleD2]) ).

fof(c406,axiom,
    ! [X525,X526,X527] :
      ( ~ coll(X525,X526,X527)
      | coll(X526,X525,X527) ),
    inference(variable_rename,status(thm),[c405]) ).

cnf(c407,axiom,
    ( ~ coll(X552,X554,X553)
    | coll(X554,X552,X553) ),
    inference(split_conjunct,status(thm),[c406]) ).

fof(ruleD3,axiom,
    ! [A,B,C,D] :
      ( ( coll(A,B,C)
        & coll(A,B,D) )
     => coll(C,D,A) ),
    input ).

fof(c402,axiom,
    ! [A,B,C,D] :
      ( ~ coll(A,B,C)
      | ~ coll(A,B,D)
      | coll(C,D,A) ),
    inference(fof_nnf,status(thm),[ruleD3]) ).

fof(c403,axiom,
    ! [X521,X522,X523,X524] :
      ( ~ coll(X521,X522,X523)
      | ~ coll(X521,X522,X524)
      | coll(X523,X524,X521) ),
    inference(variable_rename,status(thm),[c402]) ).

cnf(c404,axiom,
    ( ~ coll(X759,X758,X757)
    | ~ coll(X759,X758,X756)
    | coll(X757,X756,X759) ),
    inference(split_conjunct,status(thm),[c403]) ).

cnf(c24,negated_conjecture,
    coll(skolem0008,skolem0002,skolem0004),
    inference(split_conjunct,status(thm),[c14]) ).

cnf(c577,plain,
    ( ~ coll(skolem0008,skolem0002,X773)
    | coll(X773,skolem0004,skolem0008) ),
    inference(resolution,status(thm),[c404,c24]) ).

cnf(c607,plain,
    coll(skolem0004,skolem0004,skolem0008),
    inference(resolution,status(thm),[c577,c24]) ).

cnf(c608,plain,
    ( ~ coll(skolem0004,skolem0004,X1104)
    | coll(X1104,skolem0008,skolem0004) ),
    inference(resolution,status(thm),[c607,c404]) ).

cnf(c19,negated_conjecture,
    coll(skolem0005,skolem0001,skolem0004),
    inference(split_conjunct,status(thm),[c14]) ).

cnf(c576,plain,
    ( ~ coll(skolem0005,skolem0001,X760)
    | coll(X760,skolem0004,skolem0005) ),
    inference(resolution,status(thm),[c404,c19]) ).

cnf(c594,plain,
    coll(skolem0004,skolem0004,skolem0005),
    inference(resolution,status(thm),[c576,c19]) ).

cnf(c596,plain,
    coll(skolem0004,skolem0005,skolem0004),
    inference(resolution,status(thm),[c594,c410]) ).

cnf(c599,plain,
    ( ~ coll(skolem0004,skolem0005,X1081)
    | coll(X1081,skolem0004,skolem0004) ),
    inference(resolution,status(thm),[c596,c404]) ).

cnf(c416,plain,
    coll(skolem0001,skolem0005,skolem0004),
    inference(resolution,status(thm),[c407,c19]) ).

cnf(c431,plain,
    coll(skolem0001,skolem0004,skolem0005),
    inference(resolution,status(thm),[c410,c416]) ).

cnf(c442,plain,
    coll(skolem0004,skolem0001,skolem0005),
    inference(resolution,status(thm),[c431,c407]) ).

cnf(c588,plain,
    ( ~ coll(skolem0004,skolem0001,X920)
    | coll(X920,skolem0005,skolem0004) ),
    inference(resolution,status(thm),[c404,c442]) ).

cnf(c22,negated_conjecture,
    coll(skolem0007,skolem0001,skolem0006),
    inference(split_conjunct,status(thm),[c14]) ).

cnf(c434,plain,
    coll(skolem0007,skolem0006,skolem0001),
    inference(resolution,status(thm),[c410,c22]) ).

cnf(c451,plain,
    coll(skolem0006,skolem0007,skolem0001),
    inference(resolution,status(thm),[c434,c407]) ).

cnf(c583,plain,
    ( ~ coll(skolem0006,skolem0007,X862)
    | coll(X862,skolem0001,skolem0006) ),
    inference(resolution,status(thm),[c404,c451]) ).

cnf(c915,plain,
    coll(skolem0001,skolem0001,skolem0006),
    inference(resolution,status(thm),[c583,c451]) ).

cnf(c917,plain,
    coll(skolem0001,skolem0006,skolem0001),
    inference(resolution,status(thm),[c915,c410]) ).

cnf(c417,plain,
    coll(skolem0001,skolem0007,skolem0006),
    inference(resolution,status(thm),[c407,c22]) ).

cnf(c432,plain,
    coll(skolem0001,skolem0006,skolem0007),
    inference(resolution,status(thm),[c410,c417]) ).

cnf(c584,plain,
    ( ~ coll(skolem0001,skolem0006,X868)
    | coll(X868,skolem0007,skolem0001) ),
    inference(resolution,status(thm),[c404,c432]) ).

cnf(c932,plain,
    coll(skolem0001,skolem0007,skolem0001),
    inference(resolution,status(thm),[c584,c917]) ).

cnf(c939,plain,
    coll(skolem0001,skolem0001,skolem0007),
    inference(resolution,status(thm),[c932,c410]) ).

cnf(c429,plain,
    coll(skolem0005,skolem0004,skolem0001),
    inference(resolution,status(thm),[c410,c19]) ).

cnf(c436,plain,
    coll(skolem0004,skolem0005,skolem0001),
    inference(resolution,status(thm),[c429,c407]) ).

cnf(c578,plain,
    ( ~ coll(skolem0004,skolem0005,X784)
    | coll(X784,skolem0001,skolem0004) ),
    inference(resolution,status(thm),[c404,c436]) ).

cnf(c620,plain,
    coll(skolem0001,skolem0001,skolem0004),
    inference(resolution,status(thm),[c578,c436]) ).

cnf(c622,plain,
    ( ~ coll(skolem0001,skolem0001,X1134)
    | coll(X1134,skolem0004,skolem0001) ),
    inference(resolution,status(thm),[c620,c404]) ).

cnf(c1414,plain,
    coll(skolem0007,skolem0004,skolem0001),
    inference(resolution,status(thm),[c622,c939]) ).

cnf(c1421,plain,
    coll(skolem0004,skolem0007,skolem0001),
    inference(resolution,status(thm),[c1414,c407]) ).

cnf(c1439,plain,
    coll(skolem0004,skolem0001,skolem0007),
    inference(resolution,status(thm),[c1421,c410]) ).

cnf(c1467,plain,
    coll(skolem0007,skolem0005,skolem0004),
    inference(resolution,status(thm),[c1439,c588]) ).

cnf(c1504,plain,
    coll(skolem0005,skolem0007,skolem0004),
    inference(resolution,status(thm),[c1467,c407]) ).

cnf(c1548,plain,
    coll(skolem0005,skolem0004,skolem0007),
    inference(resolution,status(thm),[c1504,c410]) ).

cnf(c1605,plain,
    coll(skolem0004,skolem0005,skolem0007),
    inference(resolution,status(thm),[c1548,c407]) ).

cnf(c1724,plain,
    coll(skolem0007,skolem0004,skolem0004),
    inference(resolution,status(thm),[c1605,c599]) ).

cnf(c1760,plain,
    coll(skolem0004,skolem0007,skolem0004),
    inference(resolution,status(thm),[c1724,c407]) ).

cnf(c1787,plain,
    coll(skolem0004,skolem0004,skolem0007),
    inference(resolution,status(thm),[c1760,c410]) ).

cnf(c1804,plain,
    coll(skolem0007,skolem0008,skolem0004),
    inference(resolution,status(thm),[c1787,c608]) ).

cnf(c1813,plain,
    coll(skolem0008,skolem0007,skolem0004),
    inference(resolution,status(thm),[c1804,c407]) ).

cnf(c1830,plain,
    coll(skolem0008,skolem0004,skolem0007),
    inference(resolution,status(thm),[c1813,c410]) ).

cnf(c595,plain,
    ( ~ coll(skolem0004,skolem0004,X961)
    | coll(X961,skolem0005,skolem0004) ),
    inference(resolution,status(thm),[c594,c404]) ).

cnf(c1079,plain,
    coll(skolem0008,skolem0005,skolem0004),
    inference(resolution,status(thm),[c595,c607]) ).

cnf(c1088,plain,
    coll(skolem0008,skolem0004,skolem0005),
    inference(resolution,status(thm),[c1079,c410]) ).

cnf(c1106,plain,
    ( ~ coll(skolem0008,skolem0004,X1573)
    | coll(X1573,skolem0005,skolem0008) ),
    inference(resolution,status(thm),[c1088,c404]) ).

cnf(c3241,plain,
    coll(skolem0007,skolem0005,skolem0008),
    inference(resolution,status(thm),[c1106,c1830]) ).

cnf(c3252,plain,
    coll(skolem0005,skolem0007,skolem0008),
    inference(resolution,status(thm),[c3241,c407]) ).

cnf(c3273,plain,
    coll(skolem0005,skolem0008,skolem0007),
    inference(resolution,status(thm),[c3252,c410]) ).

cnf(c3295,plain,
    $false,
    inference(resolution,status(thm),[c3273,c25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO620+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13  % 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  : 600
% 0.13/0.34  % DateTime : Fri Jun 17 15:53:32 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 5.33/5.49  # Version:  1.3
% 5.33/5.49  # SZS status Theorem
% 5.33/5.49  # SZS output start CNFRefutation
% See solution above
% 5.33/5.49  
% 5.33/5.49  # Initial clauses    : 138
% 5.33/5.49  # Processed clauses  : 747
% 5.33/5.49  # Factors computed   : 0
% 5.33/5.49  # Resolvents computed: 2889
% 5.33/5.49  # Tautologies deleted: 1
% 5.33/5.49  # Forward subsumed   : 915
% 5.33/5.49  # Backward subsumed  : 0
% 5.33/5.49  # -------- CPU Time ---------
% 5.33/5.49  # User time          : 5.131 s
% 5.33/5.49  # System time        : 0.020 s
% 5.33/5.49  # Total time         : 5.151 s
%------------------------------------------------------------------------------