TSTP Solution File: GEO566+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO566+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n004.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 06:00:57 EDT 2022

% Result   : Theorem 9.03s 9.20s
% Output   : Refutation 9.03s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL214028,conjecture,
    ! [A,B,C,F,H,T,Q,P] :
      ( ( perp(F,C,A,B)
        & coll(F,A,B)
        & perp(B,C,A,H)
        & perp(A,C,B,H)
        & perp(T,F,B,C)
        & coll(T,B,C)
        & perp(Q,F,A,H)
        & coll(Q,A,H)
        & perp(P,F,A,C)
        & coll(P,A,C) )
     => coll(P,Q,T) ),
    input ).

fof(c11,negated_conjecture,
    ~ ! [A,B,C,F,H,T,Q,P] :
        ( ( perp(F,C,A,B)
          & coll(F,A,B)
          & perp(B,C,A,H)
          & perp(A,C,B,H)
          & perp(T,F,B,C)
          & coll(T,B,C)
          & perp(Q,F,A,H)
          & coll(Q,A,H)
          & perp(P,F,A,C)
          & coll(P,A,C) )
       => coll(P,Q,T) ),
    inference(assume_negation,status(cth),[exemplo6GDDFULL214028]) ).

fof(c12,negated_conjecture,
    ? [A,B,C,F,H,T,Q,P] :
      ( perp(F,C,A,B)
      & coll(F,A,B)
      & perp(B,C,A,H)
      & perp(A,C,B,H)
      & perp(T,F,B,C)
      & coll(T,B,C)
      & perp(Q,F,A,H)
      & coll(Q,A,H)
      & perp(P,F,A,C)
      & coll(P,A,C)
      & ~ coll(P,Q,T) ),
    inference(fof_nnf,status(thm),[c11]) ).

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

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

cnf(c25,negated_conjecture,
    ~ coll(skolem0008,skolem0007,skolem0006),
    inference(split_conjunct,status(thm),[c14]) ).

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(X562,X561,X560)
    | coll(X561,X562,X560) ),
    inference(split_conjunct,status(thm),[c406]) ).

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(X577,X579,X578)
    | coll(X577,X578,X579) ),
    inference(split_conjunct,status(thm),[c409]) ).

cnf(c24,negated_conjecture,
    coll(skolem0008,skolem0001,skolem0003),
    inference(split_conjunct,status(thm),[c14]) ).

cnf(c441,plain,
    coll(skolem0008,skolem0003,skolem0001),
    inference(resolution,status(thm),[c410,c24]) ).

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(X822,X824,X823)
    | ~ coll(X822,X824,X821)
    | coll(X823,X821,X822) ),
    inference(split_conjunct,status(thm),[c403]) ).

cnf(c825,plain,
    ( ~ coll(skolem0008,skolem0003,X872)
    | coll(X872,skolem0001,skolem0008) ),
    inference(resolution,status(thm),[c404,c441]) ).

cnf(c20,negated_conjecture,
    coll(skolem0006,skolem0002,skolem0003),
    inference(split_conjunct,status(thm),[c14]) ).

cnf(c834,plain,
    ( ~ coll(skolem0006,skolem0002,X973)
    | coll(X973,skolem0003,skolem0006) ),
    inference(resolution,status(thm),[c404,c20]) ).

cnf(c1124,plain,
    coll(skolem0003,skolem0003,skolem0006),
    inference(resolution,status(thm),[c834,c20]) ).

cnf(c823,plain,
    ( ~ coll(skolem0008,skolem0001,X852)
    | coll(X852,skolem0003,skolem0008) ),
    inference(resolution,status(thm),[c404,c24]) ).

cnf(c917,plain,
    coll(skolem0003,skolem0003,skolem0008),
    inference(resolution,status(thm),[c823,c24]) ).

cnf(c921,plain,
    ( ~ coll(skolem0003,skolem0003,X1423)
    | coll(X1423,skolem0008,skolem0003) ),
    inference(resolution,status(thm),[c917,c404]) ).

cnf(c2152,plain,
    coll(skolem0006,skolem0008,skolem0003),
    inference(resolution,status(thm),[c921,c1124]) ).

cnf(c2160,plain,
    coll(skolem0008,skolem0006,skolem0003),
    inference(resolution,status(thm),[c2152,c407]) ).

cnf(c2178,plain,
    coll(skolem0008,skolem0003,skolem0006),
    inference(resolution,status(thm),[c2160,c410]) ).

cnf(c2208,plain,
    coll(skolem0006,skolem0001,skolem0008),
    inference(resolution,status(thm),[c2178,c825]) ).

cnf(c2248,plain,
    coll(skolem0001,skolem0006,skolem0008),
    inference(resolution,status(thm),[c2208,c407]) ).

cnf(c2297,plain,
    coll(skolem0001,skolem0008,skolem0006),
    inference(resolution,status(thm),[c2248,c410]) ).

cnf(c2369,plain,
    coll(skolem0008,skolem0001,skolem0006),
    inference(resolution,status(thm),[c2297,c407]) ).

cnf(c949,plain,
    coll(skolem0001,skolem0001,skolem0008),
    inference(resolution,status(thm),[c825,c441]) ).

cnf(c22,negated_conjecture,
    coll(skolem0007,skolem0001,skolem0005),
    inference(split_conjunct,status(thm),[c14]) ).

cnf(c437,plain,
    coll(skolem0007,skolem0005,skolem0001),
    inference(resolution,status(thm),[c410,c22]) ).

cnf(c822,plain,
    ( ~ coll(skolem0007,skolem0005,X833)
    | coll(X833,skolem0001,skolem0007) ),
    inference(resolution,status(thm),[c404,c437]) ).

cnf(c885,plain,
    coll(skolem0001,skolem0001,skolem0007),
    inference(resolution,status(thm),[c822,c437]) ).

cnf(c889,plain,
    ( ~ coll(skolem0001,skolem0001,X1110)
    | coll(X1110,skolem0007,skolem0001) ),
    inference(resolution,status(thm),[c885,c404]) ).

cnf(c1363,plain,
    coll(skolem0008,skolem0007,skolem0001),
    inference(resolution,status(thm),[c889,c949]) ).

cnf(c1372,plain,
    coll(skolem0008,skolem0001,skolem0007),
    inference(resolution,status(thm),[c1363,c410]) ).

cnf(c1396,plain,
    ( ~ coll(skolem0008,skolem0001,X1658)
    | coll(X1658,skolem0007,skolem0008) ),
    inference(resolution,status(thm),[c1372,c404]) ).

cnf(c4129,plain,
    coll(skolem0006,skolem0007,skolem0008),
    inference(resolution,status(thm),[c1396,c2369]) ).

cnf(c4159,plain,
    coll(skolem0007,skolem0006,skolem0008),
    inference(resolution,status(thm),[c4129,c407]) ).

cnf(c4194,plain,
    coll(skolem0007,skolem0008,skolem0006),
    inference(resolution,status(thm),[c4159,c410]) ).

cnf(c4240,plain,
    coll(skolem0008,skolem0007,skolem0006),
    inference(resolution,status(thm),[c4194,c407]) ).

cnf(c4290,plain,
    $false,
    inference(resolution,status(thm),[c4240,c25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GEO566+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n004.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 : Sat Jun 18 03:26:53 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 9.03/9.20  # Version:  1.3
% 9.03/9.20  # SZS status Theorem
% 9.03/9.20  # SZS output start CNFRefutation
% See solution above
% 9.03/9.20  
% 9.03/9.20  # Initial clauses    : 138
% 9.03/9.20  # Processed clauses  : 1027
% 9.03/9.20  # Factors computed   : 0
% 9.03/9.20  # Resolvents computed: 3882
% 9.03/9.20  # Tautologies deleted: 1
% 9.03/9.20  # Forward subsumed   : 1332
% 9.03/9.20  # Backward subsumed  : 0
% 9.03/9.20  # -------- CPU Time ---------
% 9.03/9.20  # User time          : 8.832 s
% 9.03/9.20  # System time        : 0.019 s
% 9.03/9.20  # Total time         : 8.851 s
%------------------------------------------------------------------------------