TSTP Solution File: NUM615+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : NUM615+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 13:38:12 EDT 2022

% Result   : Theorem 137.99s 138.27s
% Output   : Refutation 137.99s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(m__5182,plain,
    aElementOf0(xp,xO),
    input ).

cnf(c31,plain,
    aElementOf0(xp,xO),
    inference(split_conjunct,status(thm),[m__5182]) ).

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

fof(c42,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(c43,plain,
    ! [X3] :
      ( ~ aElementOf0(X3,xO)
      | ? [X4] :
          ( aElementOf0(X4,szNzAzT0)
          & aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xe,X4) = X3 ) ),
    inference(variable_rename,status(thm),[c42]) ).

fof(c44,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),[c43]) ).

fof(c45,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),[c44]) ).

cnf(c48,plain,
    ( ~ aElementOf0(X301,xO)
    | sdtlpdtrp0(xe,skolem0001(X301)) = X301 ),
    inference(split_conjunct,status(thm),[c45]) ).

cnf(c1004,plain,
    sdtlpdtrp0(xe,skolem0001(xp)) = xp,
    inference(resolution,status(thm),[c48,c31]) ).

fof(m__,conjecture,
    ? [W0] :
      ( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
      & sdtlpdtrp0(xe,W0) = xp ),
    input ).

fof(c23,negated_conjecture,
    ~ ? [W0] :
        ( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & sdtlpdtrp0(xe,W0) = xp ),
    inference(assume_negation,status(cth),[m__]) ).

fof(c24,negated_conjecture,
    ! [W0] :
      ( ~ aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
      | sdtlpdtrp0(xe,W0) != xp ),
    inference(fof_nnf,status(thm),[c23]) ).

fof(c25,negated_conjecture,
    ! [X2] :
      ( ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
      | sdtlpdtrp0(xe,X2) != xp ),
    inference(variable_rename,status(thm),[c24]) ).

cnf(c26,negated_conjecture,
    ( ~ aElementOf0(X295,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    | sdtlpdtrp0(xe,X295) != xp ),
    inference(split_conjunct,status(thm),[c25]) ).

cnf(c47,plain,
    ( ~ aElementOf0(X300,xO)
    | aElementOf0(skolem0001(X300),sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(split_conjunct,status(thm),[c45]) ).

cnf(c1001,plain,
    aElementOf0(skolem0001(xp),sdtlbdtrb0(xd,szDzizrdt0(xd))),
    inference(resolution,status(thm),[c47,c31]) ).

cnf(c42071,plain,
    sdtlpdtrp0(xe,skolem0001(xp)) != xp,
    inference(resolution,status(thm),[c1001,c26]) ).

cnf(c173799,plain,
    $false,
    inference(resolution,status(thm),[c42071,c1004]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : NUM615+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.15  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.36  % Computer : n004.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 600
% 0.16/0.36  % DateTime : Wed Jul  6 02:00:52 EDT 2022
% 0.16/0.37  % CPUTime  : 
% 137.99/138.27  # Version:  1.3
% 137.99/138.27  # SZS status Theorem
% 137.99/138.27  # SZS output start CNFRefutation
% See solution above
% 137.99/138.27  
% 137.99/138.27  # Initial clauses    : 241
% 137.99/138.27  # Processed clauses  : 3636
% 137.99/138.27  # Factors computed   : 0
% 137.99/138.27  # Resolvents computed: 173298
% 137.99/138.27  # Tautologies deleted: 28
% 137.99/138.27  # Forward subsumed   : 531
% 137.99/138.27  # Backward subsumed  : 58
% 137.99/138.27  # -------- CPU Time ---------
% 137.99/138.27  # User time          : 137.445 s
% 137.99/138.27  # System time        : 0.372 s
% 137.99/138.27  # Total time         : 137.817 s
%------------------------------------------------------------------------------