TSTP Solution File: NUM602+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : NUM602+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n014.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 13:38:04 EDT 2022

% Result   : Theorem 1.64s 1.87s
% Output   : Refutation 1.64s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(m__5009,plain,
    aElementOf0(xx,xO),
    input ).

cnf(c27,plain,
    aElementOf0(xx,xO),
    inference(split_conjunct,status(thm),[m__5009]) ).

fof(m__4982,plain,
    ! [W0] :
      ( aElementOf0(W0,xO)
     => ? [W1] :
          ( aElementOf0(W1,szNzAzT0)
          & aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xe,W1) = W0 ) ),
    input ).

fof(c28,plain,
    ! [W0] :
      ( ~ aElementOf0(W0,xO)
      | ? [W1] :
          ( aElementOf0(W1,szNzAzT0)
          & aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xe,W1) = W0 ) ),
    inference(fof_nnf,status(thm),[m__4982]) ).

fof(c29,plain,
    ! [X3] :
      ( ~ aElementOf0(X3,xO)
      | ? [X4] :
          ( aElementOf0(X4,szNzAzT0)
          & aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xe,X4) = X3 ) ),
    inference(variable_rename,status(thm),[c28]) ).

fof(c30,plain,
    ! [X3] :
      ( ~ aElementOf0(X3,xO)
      | ( aElementOf0(skolem0001(X3),szNzAzT0)
        & aElementOf0(skolem0001(X3),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & sdtlpdtrp0(xe,skolem0001(X3)) = X3 ) ),
    inference(skolemize,status(esa),[c29]) ).

fof(c31,plain,
    ! [X3] :
      ( ( ~ aElementOf0(X3,xO)
        | aElementOf0(skolem0001(X3),szNzAzT0) )
      & ( ~ aElementOf0(X3,xO)
        | aElementOf0(skolem0001(X3),sdtlbdtrb0(xd,szDzizrdt0(xd))) )
      & ( ~ aElementOf0(X3,xO)
        | sdtlpdtrp0(xe,skolem0001(X3)) = X3 ) ),
    inference(distribute,status(thm),[c30]) ).

cnf(c32,plain,
    ( ~ aElementOf0(X299,xO)
    | aElementOf0(skolem0001(X299),szNzAzT0) ),
    inference(split_conjunct,status(thm),[c31]) ).

cnf(c856,plain,
    aElementOf0(skolem0001(xx),szNzAzT0),
    inference(resolution,status(thm),[c32,c27]) ).

fof(m__,conjecture,
    ? [W0] :
      ( aElementOf0(W0,szNzAzT0)
      & sdtlpdtrp0(xe,W0) = xx ),
    input ).

fof(c23,negated_conjecture,
    ~ ? [W0] :
        ( aElementOf0(W0,szNzAzT0)
        & sdtlpdtrp0(xe,W0) = xx ),
    inference(assume_negation,status(cth),[m__]) ).

fof(c24,negated_conjecture,
    ! [W0] :
      ( ~ aElementOf0(W0,szNzAzT0)
      | sdtlpdtrp0(xe,W0) != xx ),
    inference(fof_nnf,status(thm),[c23]) ).

fof(c25,negated_conjecture,
    ! [X2] :
      ( ~ aElementOf0(X2,szNzAzT0)
      | sdtlpdtrp0(xe,X2) != xx ),
    inference(variable_rename,status(thm),[c24]) ).

cnf(c26,negated_conjecture,
    ( ~ aElementOf0(X298,szNzAzT0)
    | sdtlpdtrp0(xe,X298) != xx ),
    inference(split_conjunct,status(thm),[c25]) ).

cnf(c34,plain,
    ( ~ aElementOf0(X303,xO)
    | sdtlpdtrp0(xe,skolem0001(X303)) = X303 ),
    inference(split_conjunct,status(thm),[c31]) ).

cnf(c874,plain,
    sdtlpdtrp0(xe,skolem0001(xx)) = xx,
    inference(resolution,status(thm),[c34,c27]) ).

cnf(c3680,plain,
    ~ aElementOf0(skolem0001(xx),szNzAzT0),
    inference(resolution,status(thm),[c874,c26]) ).

cnf(c3704,plain,
    $false,
    inference(resolution,status(thm),[c3680,c856]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM602+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n014.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jul  7 13:45:07 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.64/1.87  # Version:  1.3
% 1.64/1.87  # SZS status Theorem
% 1.64/1.87  # SZS output start CNFRefutation
% See solution above
% 1.64/1.87  
% 1.64/1.87  # Initial clauses    : 227
% 1.64/1.87  # Processed clauses  : 480
% 1.64/1.87  # Factors computed   : 0
% 1.64/1.87  # Resolvents computed: 3217
% 1.64/1.87  # Tautologies deleted: 11
% 1.64/1.87  # Forward subsumed   : 122
% 1.64/1.87  # Backward subsumed  : 20
% 1.64/1.87  # -------- CPU Time ---------
% 1.64/1.87  # User time          : 1.508 s
% 1.64/1.87  # System time        : 0.027 s
% 1.64/1.87  # Total time         : 1.535 s
%------------------------------------------------------------------------------