TSTP Solution File: GEO579+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO579+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n028.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 06:01:01 EDT 2022

% Result   : Theorem 4.90s 5.08s
% Output   : Refutation 4.90s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416041,conjecture,
    ! [A,B,C,I,Y,L,X] :
      ( ( eqangle(I,A,A,B,I,A,A,C)
        & eqangle(I,B,B,C,I,B,B,A)
        & eqangle(I,C,C,A,I,C,C,B)
        & perp(Y,I,A,C)
        & coll(Y,A,C)
        & perp(L,I,B,C)
        & coll(L,B,C)
        & perp(X,B,A,I)
        & coll(X,A,I) )
     => coll(X,Y,L) ),
    input ).

fof(c11,negated_conjecture,
    ~ ! [A,B,C,I,Y,L,X] :
        ( ( eqangle(I,A,A,B,I,A,A,C)
          & eqangle(I,B,B,C,I,B,B,A)
          & eqangle(I,C,C,A,I,C,C,B)
          & perp(Y,I,A,C)
          & coll(Y,A,C)
          & perp(L,I,B,C)
          & coll(L,B,C)
          & perp(X,B,A,I)
          & coll(X,A,I) )
       => coll(X,Y,L) ),
    inference(assume_negation,status(cth),[exemplo6GDDFULL416041]) ).

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

fof(c13,negated_conjecture,
    ? [X2,X3,X4,X5,X6,X7,X8] :
      ( 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,X5,X2,X4)
      & coll(X6,X2,X4)
      & perp(X7,X5,X3,X4)
      & coll(X7,X3,X4)
      & perp(X8,X3,X2,X5)
      & coll(X8,X2,X5)
      & ~ coll(X8,X6,X7) ),
    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,skolem0004,skolem0001,skolem0003)
    & coll(skolem0005,skolem0001,skolem0003)
    & perp(skolem0006,skolem0004,skolem0002,skolem0003)
    & coll(skolem0006,skolem0002,skolem0003)
    & perp(skolem0007,skolem0002,skolem0001,skolem0004)
    & coll(skolem0007,skolem0001,skolem0004)
    & ~ coll(skolem0007,skolem0005,skolem0006) ),
    inference(skolemize,status(esa),[c13]) ).

cnf(c24,negated_conjecture,
    ~ coll(skolem0007,skolem0005,skolem0006),
    inference(split_conjunct,status(thm),[c14]) ).

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

fof(c407,axiom,
    ! [A,B,C] :
      ( ~ coll(A,B,C)
      | coll(A,C,B) ),
    inference(fof_nnf,status(thm),[ruleD1]) ).

fof(c408,axiom,
    ! [X527,X528,X529] :
      ( ~ coll(X527,X528,X529)
      | coll(X527,X529,X528) ),
    inference(variable_rename,status(thm),[c407]) ).

cnf(c409,axiom,
    ( ~ coll(X571,X572,X570)
    | coll(X571,X570,X572) ),
    inference(split_conjunct,status(thm),[c408]) ).

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

fof(c404,axiom,
    ! [A,B,C] :
      ( ~ coll(A,B,C)
      | coll(B,A,C) ),
    inference(fof_nnf,status(thm),[ruleD2]) ).

fof(c405,axiom,
    ! [X524,X525,X526] :
      ( ~ coll(X524,X525,X526)
      | coll(X525,X524,X526) ),
    inference(variable_rename,status(thm),[c404]) ).

cnf(c406,axiom,
    ( ~ coll(X552,X553,X551)
    | coll(X553,X552,X551) ),
    inference(split_conjunct,status(thm),[c405]) ).

cnf(c19,negated_conjecture,
    coll(skolem0005,skolem0001,skolem0003),
    inference(split_conjunct,status(thm),[c14]) ).

cnf(c417,plain,
    coll(skolem0001,skolem0005,skolem0003),
    inference(resolution,status(thm),[c406,c19]) ).

cnf(c432,plain,
    coll(skolem0001,skolem0003,skolem0005),
    inference(resolution,status(thm),[c409,c417]) ).

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

fof(c401,axiom,
    ! [A,B,C,D] :
      ( ~ coll(A,B,C)
      | ~ coll(A,B,D)
      | coll(C,D,A) ),
    inference(fof_nnf,status(thm),[ruleD3]) ).

fof(c402,axiom,
    ! [X520,X521,X522,X523] :
      ( ~ coll(X520,X521,X522)
      | ~ coll(X520,X521,X523)
      | coll(X522,X523,X520) ),
    inference(variable_rename,status(thm),[c401]) ).

cnf(c403,axiom,
    ( ~ coll(X742,X741,X740)
    | ~ coll(X742,X741,X743)
    | coll(X740,X743,X742) ),
    inference(split_conjunct,status(thm),[c402]) ).

cnf(c556,plain,
    ( ~ coll(skolem0001,skolem0003,X934)
    | coll(X934,skolem0005,skolem0001) ),
    inference(resolution,status(thm),[c403,c432]) ).

cnf(c430,plain,
    coll(skolem0005,skolem0003,skolem0001),
    inference(resolution,status(thm),[c409,c19]) ).

cnf(c443,plain,
    coll(skolem0003,skolem0005,skolem0001),
    inference(resolution,status(thm),[c430,c406]) ).

cnf(c548,plain,
    ( ~ coll(skolem0003,skolem0005,X819)
    | coll(X819,skolem0001,skolem0003) ),
    inference(resolution,status(thm),[c403,c443]) ).

cnf(c552,plain,
    ( ~ coll(skolem0005,skolem0001,X870)
    | coll(X870,skolem0003,skolem0005) ),
    inference(resolution,status(thm),[c403,c19]) ).

cnf(c882,plain,
    coll(skolem0003,skolem0003,skolem0005),
    inference(resolution,status(thm),[c552,c19]) ).

cnf(c883,plain,
    coll(skolem0003,skolem0005,skolem0003),
    inference(resolution,status(thm),[c882,c409]) ).

cnf(c893,plain,
    coll(skolem0003,skolem0001,skolem0003),
    inference(resolution,status(thm),[c883,c548]) ).

cnf(c900,plain,
    coll(skolem0003,skolem0003,skolem0001),
    inference(resolution,status(thm),[c893,c409]) ).

cnf(c21,negated_conjecture,
    coll(skolem0006,skolem0002,skolem0003),
    inference(split_conjunct,status(thm),[c14]) ).

cnf(c547,plain,
    ( ~ coll(skolem0006,skolem0002,X803)
    | coll(X803,skolem0003,skolem0006) ),
    inference(resolution,status(thm),[c403,c21]) ).

cnf(c739,plain,
    coll(skolem0003,skolem0003,skolem0006),
    inference(resolution,status(thm),[c547,c21]) ).

cnf(c742,plain,
    ( ~ coll(skolem0003,skolem0003,X1259)
    | coll(X1259,skolem0006,skolem0003) ),
    inference(resolution,status(thm),[c739,c403]) ).

cnf(c1471,plain,
    coll(skolem0001,skolem0006,skolem0003),
    inference(resolution,status(thm),[c742,c900]) ).

cnf(c1500,plain,
    coll(skolem0001,skolem0003,skolem0006),
    inference(resolution,status(thm),[c1471,c409]) ).

cnf(c1516,plain,
    coll(skolem0006,skolem0005,skolem0001),
    inference(resolution,status(thm),[c1500,c556]) ).

cnf(c1568,plain,
    coll(skolem0005,skolem0006,skolem0001),
    inference(resolution,status(thm),[c1516,c406]) ).

cnf(c1611,plain,
    coll(skolem0005,skolem0001,skolem0006),
    inference(resolution,status(thm),[c1568,c409]) ).

cnf(c553,plain,
    ( ~ coll(skolem0005,skolem0003,X887)
    | coll(X887,skolem0001,skolem0005) ),
    inference(resolution,status(thm),[c403,c430]) ).

cnf(c916,plain,
    coll(skolem0001,skolem0001,skolem0005),
    inference(resolution,status(thm),[c553,c430]) ).

cnf(c23,negated_conjecture,
    coll(skolem0007,skolem0001,skolem0004),
    inference(split_conjunct,status(thm),[c14]) ).

cnf(c429,plain,
    coll(skolem0007,skolem0004,skolem0001),
    inference(resolution,status(thm),[c409,c23]) ).

cnf(c543,plain,
    ( ~ coll(skolem0007,skolem0004,X767)
    | coll(X767,skolem0001,skolem0007) ),
    inference(resolution,status(thm),[c403,c429]) ).

cnf(c587,plain,
    coll(skolem0001,skolem0001,skolem0007),
    inference(resolution,status(thm),[c543,c429]) ).

cnf(c590,plain,
    ( ~ coll(skolem0001,skolem0001,X983)
    | coll(X983,skolem0007,skolem0001) ),
    inference(resolution,status(thm),[c587,c403]) ).

cnf(c1032,plain,
    coll(skolem0005,skolem0007,skolem0001),
    inference(resolution,status(thm),[c590,c916]) ).

cnf(c1038,plain,
    coll(skolem0005,skolem0001,skolem0007),
    inference(resolution,status(thm),[c1032,c409]) ).

cnf(c1055,plain,
    ( ~ coll(skolem0005,skolem0001,X1546)
    | coll(X1546,skolem0007,skolem0005) ),
    inference(resolution,status(thm),[c1038,c403]) ).

cnf(c2872,plain,
    coll(skolem0006,skolem0007,skolem0005),
    inference(resolution,status(thm),[c1055,c1611]) ).

cnf(c2883,plain,
    coll(skolem0007,skolem0006,skolem0005),
    inference(resolution,status(thm),[c2872,c406]) ).

cnf(c2899,plain,
    coll(skolem0007,skolem0005,skolem0006),
    inference(resolution,status(thm),[c2883,c409]) ).

cnf(c2919,plain,
    $false,
    inference(resolution,status(thm),[c2899,c24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO579+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 05:58:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 4.90/5.08  # Version:  1.3
% 4.90/5.08  # SZS status Theorem
% 4.90/5.08  # SZS output start CNFRefutation
% See solution above
% 4.90/5.08  
% 4.90/5.08  # Initial clauses    : 137
% 4.90/5.08  # Processed clauses  : 717
% 4.90/5.08  # Factors computed   : 0
% 4.90/5.08  # Resolvents computed: 2514
% 4.90/5.08  # Tautologies deleted: 1
% 4.90/5.08  # Forward subsumed   : 894
% 4.90/5.08  # Backward subsumed  : 0
% 4.90/5.08  # -------- CPU Time ---------
% 4.90/5.08  # User time          : 4.729 s
% 4.90/5.08  # System time        : 0.017 s
% 4.90/5.08  # Total time         : 4.746 s
%------------------------------------------------------------------------------