TSTP Solution File: SWC262+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWC262+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n005.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 : Tue Jul 19 21:48:40 EDT 2022

% Result   : Theorem 0.61s 0.82s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ! [W] :
              ( ssList(W)
             => ! [X] :
                  ( ssList(X)
                 => ( V != X
                    | U != W
                    | ~ totalorderedP(W)
                    | totalorderedP(U) ) ) ) ) ),
    input ).

fof(c23,negated_conjecture,
    ~ ! [U] :
        ( ssList(U)
       => ! [V] :
            ( ssList(V)
           => ! [W] :
                ( ssList(W)
               => ! [X] :
                    ( ssList(X)
                   => ( V != X
                      | U != W
                      | ~ totalorderedP(W)
                      | totalorderedP(U) ) ) ) ) ),
    inference(assume_negation,status(cth),[co1]) ).

fof(c24,negated_conjecture,
    ~ ! [U] :
        ( ssList(U)
       => ! [V] :
            ( ssList(V)
           => ! [W] :
                ( ssList(W)
               => ! [X] :
                    ( ssList(X)
                   => ( V != X
                      | U != W
                      | ~ totalorderedP(W)
                      | totalorderedP(U) ) ) ) ) ),
    inference(fof_simplification,status(thm),[c23]) ).

fof(c25,negated_conjecture,
    ? [U] :
      ( ssList(U)
      & ? [V] :
          ( ssList(V)
          & ? [W] :
              ( ssList(W)
              & ? [X] :
                  ( ssList(X)
                  & V = X
                  & U = W
                  & totalorderedP(W)
                  & ~ totalorderedP(U) ) ) ) ),
    inference(fof_nnf,status(thm),[c24]) ).

fof(c26,negated_conjecture,
    ? [X2] :
      ( ssList(X2)
      & ? [X3] :
          ( ssList(X3)
          & ? [X4] :
              ( ssList(X4)
              & ? [X5] :
                  ( ssList(X5)
                  & X3 = X5
                  & X2 = X4
                  & totalorderedP(X4)
                  & ~ totalorderedP(X2) ) ) ) ),
    inference(variable_rename,status(thm),[c25]) ).

fof(c27,negated_conjecture,
    ( ssList(skolem0001)
    & ssList(skolem0002)
    & ssList(skolem0003)
    & ssList(skolem0004)
    & skolem0002 = skolem0004
    & skolem0001 = skolem0003
    & totalorderedP(skolem0003)
    & ~ totalorderedP(skolem0001) ),
    inference(skolemize,status(esa),[c26]) ).

cnf(c35,negated_conjecture,
    ~ totalorderedP(skolem0001),
    inference(split_conjunct,status(thm),[c27]) ).

cnf(c34,negated_conjecture,
    totalorderedP(skolem0003),
    inference(split_conjunct,status(thm),[c27]) ).

cnf(symmetry,axiom,
    ( X251 != X252
    | X252 = X251 ),
    eq_axiom ).

cnf(c33,negated_conjecture,
    skolem0001 = skolem0003,
    inference(split_conjunct,status(thm),[c27]) ).

cnf(c515,plain,
    skolem0003 = skolem0001,
    inference(resolution,status(thm),[c33,symmetry]) ).

cnf(c17,plain,
    ( X329 != X330
    | ~ totalorderedP(X329)
    | totalorderedP(X330) ),
    eq_axiom ).

cnf(c629,plain,
    ( ~ totalorderedP(skolem0003)
    | totalorderedP(skolem0001) ),
    inference(resolution,status(thm),[c17,c515]) ).

cnf(c638,plain,
    totalorderedP(skolem0001),
    inference(resolution,status(thm),[c629,c34]) ).

cnf(c639,plain,
    $false,
    inference(resolution,status(thm),[c638,c35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC262+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n005.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 11 20:57:09 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.61/0.82  # Version:  1.3
% 0.61/0.82  # SZS status Theorem
% 0.61/0.82  # SZS output start CNFRefutation
% See solution above
% 0.61/0.82  
% 0.61/0.82  # Initial clauses    : 224
% 0.61/0.82  # Processed clauses  : 107
% 0.61/0.82  # Factors computed   : 0
% 0.61/0.82  # Resolvents computed: 135
% 0.61/0.82  # Tautologies deleted: 9
% 0.61/0.82  # Forward subsumed   : 13
% 0.61/0.82  # Backward subsumed  : 1
% 0.61/0.82  # -------- CPU Time ---------
% 0.61/0.82  # User time          : 0.456 s
% 0.61/0.82  # System time        : 0.017 s
% 0.61/0.82  # Total time         : 0.473 s
%------------------------------------------------------------------------------