TSTP Solution File: RNG086+2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : RNG086+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n023.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 : Mon Jul 18 20:39:35 EDT 2022

% Result   : Theorem 3.16s 3.34s
% Output   : Refutation 3.16s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(m__901,plain,
    ( ? [W0,W1] :
        ( aElementOf0(W0,xI)
        & aElementOf0(W1,xJ)
        & sdtpldt0(W0,W1) = xx )
    & aElementOf0(xx,sdtpldt1(xI,xJ))
    & ? [W0,W1] :
        ( aElementOf0(W0,xI)
        & aElementOf0(W1,xJ)
        & sdtpldt0(W0,W1) = xy )
    & aElementOf0(xy,sdtpldt1(xI,xJ))
    & aElement0(xz) ),
    input ).

fof(c13,plain,
    ( ? [X4,X5] :
        ( aElementOf0(X4,xI)
        & aElementOf0(X5,xJ)
        & sdtpldt0(X4,X5) = xx )
    & aElementOf0(xx,sdtpldt1(xI,xJ))
    & ? [X6,X7] :
        ( aElementOf0(X6,xI)
        & aElementOf0(X7,xJ)
        & sdtpldt0(X6,X7) = xy )
    & aElementOf0(xy,sdtpldt1(xI,xJ))
    & aElement0(xz) ),
    inference(variable_rename,status(thm),[m__901]) ).

fof(c14,plain,
    ( aElementOf0(skolem0001,xI)
    & aElementOf0(skolem0002,xJ)
    & sdtpldt0(skolem0001,skolem0002) = xx
    & aElementOf0(xx,sdtpldt1(xI,xJ))
    & aElementOf0(skolem0003,xI)
    & aElementOf0(skolem0004,xJ)
    & sdtpldt0(skolem0003,skolem0004) = xy
    & aElementOf0(xy,sdtpldt1(xI,xJ))
    & aElement0(xz) ),
    inference(skolemize,status(esa),[c13]) ).

cnf(c15,plain,
    aElementOf0(skolem0001,xI),
    inference(split_conjunct,status(thm),[c14]) ).

cnf(c16,plain,
    aElementOf0(skolem0002,xJ),
    inference(split_conjunct,status(thm),[c14]) ).

fof(m__,conjecture,
    ? [W0,W1] :
      ( aElementOf0(W0,xI)
      & aElementOf0(W1,xJ)
      & xx = sdtpldt0(W0,W1) ),
    input ).

fof(c9,negated_conjecture,
    ~ ? [W0,W1] :
        ( aElementOf0(W0,xI)
        & aElementOf0(W1,xJ)
        & xx = sdtpldt0(W0,W1) ),
    inference(assume_negation,status(cth),[m__]) ).

fof(c10,negated_conjecture,
    ! [W0,W1] :
      ( ~ aElementOf0(W0,xI)
      | ~ aElementOf0(W1,xJ)
      | xx != sdtpldt0(W0,W1) ),
    inference(fof_nnf,status(thm),[c9]) ).

fof(c11,negated_conjecture,
    ! [X2,X3] :
      ( ~ aElementOf0(X2,xI)
      | ~ aElementOf0(X3,xJ)
      | xx != sdtpldt0(X2,X3) ),
    inference(variable_rename,status(thm),[c10]) ).

cnf(c12,negated_conjecture,
    ( ~ aElementOf0(X121,xI)
    | ~ aElementOf0(X120,xJ)
    | xx != sdtpldt0(X121,X120) ),
    inference(split_conjunct,status(thm),[c11]) ).

cnf(symmetry,axiom,
    ( X76 != X77
    | X77 = X76 ),
    eq_axiom ).

cnf(c17,plain,
    sdtpldt0(skolem0001,skolem0002) = xx,
    inference(split_conjunct,status(thm),[c14]) ).

cnf(c174,plain,
    xx = sdtpldt0(skolem0001,skolem0002),
    inference(resolution,status(thm),[c17,symmetry]) ).

cnf(c232,plain,
    ( ~ aElementOf0(skolem0001,xI)
    | ~ aElementOf0(skolem0002,xJ) ),
    inference(resolution,status(thm),[c174,c12]) ).

cnf(c12320,plain,
    ~ aElementOf0(skolem0001,xI),
    inference(resolution,status(thm),[c232,c16]) ).

cnf(c12321,plain,
    $false,
    inference(resolution,status(thm),[c12320,c15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG086+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon May 30 09:44:42 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 3.16/3.34  # Version:  1.3
% 3.16/3.34  # SZS status Theorem
% 3.16/3.34  # SZS output start CNFRefutation
% See solution above
% 3.16/3.34  
% 3.16/3.34  # Initial clauses    : 84
% 3.16/3.34  # Processed clauses  : 503
% 3.16/3.34  # Factors computed   : 0
% 3.16/3.34  # Resolvents computed: 12171
% 3.16/3.34  # Tautologies deleted: 4
% 3.16/3.34  # Forward subsumed   : 58
% 3.16/3.34  # Backward subsumed  : 9
% 3.16/3.34  # -------- CPU Time ---------
% 3.16/3.34  # User time          : 2.960 s
% 3.16/3.34  # System time        : 0.032 s
% 3.16/3.34  # Total time         : 2.992 s
%------------------------------------------------------------------------------