TSTP Solution File: SEU163+2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SEU163+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n022.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 13:36:05 EDT 2022

% Result   : Theorem 0.77s 0.94s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(t92_zfmisc_1,conjecture,
    ! [A,B] :
      ( in(A,B)
     => subset(A,union(B)) ),
    input ).

fof(c17,negated_conjecture,
    ~ ! [A,B] :
        ( in(A,B)
       => subset(A,union(B)) ),
    inference(assume_negation,status(cth),[t92_zfmisc_1]) ).

fof(c18,negated_conjecture,
    ? [A,B] :
      ( in(A,B)
      & ~ subset(A,union(B)) ),
    inference(fof_nnf,status(thm),[c17]) ).

fof(c19,negated_conjecture,
    ? [X5,X6] :
      ( in(X5,X6)
      & ~ subset(X5,union(X6)) ),
    inference(variable_rename,status(thm),[c18]) ).

fof(c20,negated_conjecture,
    ( in(skolem0001,skolem0002)
    & ~ subset(skolem0001,union(skolem0002)) ),
    inference(skolemize,status(esa),[c19]) ).

cnf(c22,negated_conjecture,
    ~ subset(skolem0001,union(skolem0002)),
    inference(split_conjunct,status(thm),[c20]) ).

cnf(c21,negated_conjecture,
    in(skolem0001,skolem0002),
    inference(split_conjunct,status(thm),[c20]) ).

fof(l50_zfmisc_1,plain,
    ! [A,B] :
      ( in(A,B)
     => subset(A,union(B)) ),
    input ).

fof(c199,plain,
    ! [A,B] :
      ( ~ in(A,B)
      | subset(A,union(B)) ),
    inference(fof_nnf,status(thm),[l50_zfmisc_1]) ).

fof(c200,plain,
    ! [X126,X127] :
      ( ~ in(X126,X127)
      | subset(X126,union(X127)) ),
    inference(variable_rename,status(thm),[c199]) ).

cnf(c201,plain,
    ( ~ in(X783,X784)
    | subset(X783,union(X784)) ),
    inference(split_conjunct,status(thm),[c200]) ).

cnf(c1567,plain,
    subset(skolem0001,union(skolem0002)),
    inference(resolution,status(thm),[c201,c21]) ).

cnf(c1599,plain,
    $false,
    inference(resolution,status(thm),[c1567,c22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SEU163+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n022.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 : Mon Jun 20 13:04:31 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.77/0.94  # Version:  1.3
% 0.77/0.94  # SZS status Theorem
% 0.77/0.94  # SZS output start CNFRefutation
% See solution above
% 0.77/0.94  
% 0.77/0.94  # Initial clauses    : 176
% 0.77/0.94  # Processed clauses  : 211
% 0.77/0.94  # Factors computed   : 1
% 0.77/0.94  # Resolvents computed: 1175
% 0.77/0.94  # Tautologies deleted: 5
% 0.77/0.94  # Forward subsumed   : 170
% 0.77/0.94  # Backward subsumed  : 1
% 0.77/0.94  # -------- CPU Time ---------
% 0.77/0.94  # User time          : 0.601 s
% 0.77/0.94  # System time        : 0.009 s
% 0.77/0.94  # Total time         : 0.610 s
%------------------------------------------------------------------------------