TSTP Solution File: NUM618+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : NUM618+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n029.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 13:38:14 EDT 2022

% Result   : Theorem 15.04s 15.28s
% Output   : Refutation 15.04s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(m__5365,plain,
    ( aElementOf0(xx,szNzAzT0)
    & aElementOf0(xx,xO) ),
    input ).

cnf(c28,plain,
    aElementOf0(xx,xO),
    inference(split_conjunct,status(thm),[m__5365]) ).

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

fof(c49,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(c50,plain,
    ! [X3] :
      ( ~ aElementOf0(X3,xO)
      | ? [X4] :
          ( aElementOf0(X4,szNzAzT0)
          & aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xe,X4) = X3 ) ),
    inference(variable_rename,status(thm),[c49]) ).

fof(c51,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),[c50]) ).

fof(c52,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),[c51]) ).

cnf(c53,plain,
    ( ~ aElementOf0(X297,xO)
    | aElementOf0(skolem0001(X297),szNzAzT0) ),
    inference(split_conjunct,status(thm),[c52]) ).

cnf(c1053,plain,
    aElementOf0(skolem0001(xx),szNzAzT0),
    inference(resolution,status(thm),[c53,c28]) ).

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

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

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

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

cnf(c26,negated_conjecture,
    ( ~ aElementOf0(X293,szNzAzT0)
    | xx != sdtlpdtrp0(xe,X293) ),
    inference(split_conjunct,status(thm),[c25]) ).

cnf(symmetry,axiom,
    ( X197 != X198
    | X198 = X197 ),
    eq_axiom ).

cnf(c55,plain,
    ( ~ aElementOf0(X299,xO)
    | sdtlpdtrp0(xe,skolem0001(X299)) = X299 ),
    inference(split_conjunct,status(thm),[c52]) ).

cnf(c1074,plain,
    sdtlpdtrp0(xe,skolem0001(xx)) = xx,
    inference(resolution,status(thm),[c55,c28]) ).

cnf(c6157,plain,
    xx = sdtlpdtrp0(xe,skolem0001(xx)),
    inference(resolution,status(thm),[c1074,symmetry]) ).

cnf(c35264,plain,
    ~ aElementOf0(skolem0001(xx),szNzAzT0),
    inference(resolution,status(thm),[c6157,c26]) ).

cnf(c35338,plain,
    $false,
    inference(resolution,status(thm),[c35264,c1053]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : NUM618+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Wed Jul  6 14:21:58 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 15.04/15.28  # Version:  1.3
% 15.04/15.28  # SZS status Theorem
% 15.04/15.28  # SZS output start CNFRefutation
% See solution above
% 15.04/15.29  
% 15.04/15.29  # Initial clauses    : 248
% 15.04/15.29  # Processed clauses  : 1558
% 15.04/15.29  # Factors computed   : 0
% 15.04/15.29  # Resolvents computed: 34830
% 15.04/15.29  # Tautologies deleted: 23
% 15.04/15.29  # Forward subsumed   : 436
% 15.04/15.29  # Backward subsumed  : 65
% 15.04/15.29  # -------- CPU Time ---------
% 15.04/15.29  # User time          : 14.827 s
% 15.04/15.29  # System time        : 0.085 s
% 15.04/15.29  # Total time         : 14.912 s
%------------------------------------------------------------------------------