TSTP Solution File: SYN047+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN047+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n011.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 : Thu Jul 21 11:24:47 EDT 2022

% Result   : Theorem 0.19s 0.58s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(pel17,conjecture,
    ( ( ( p
        & ( q
         => r ) )
     => s )
  <=> ( ( ~ p
        | q
        | s )
      & ( ~ p
        | ~ r
        | s ) ) ),
    input ).

fof(c0,negated_conjecture,
    ~ ( ( ( p
          & ( q
           => r ) )
       => s )
    <=> ( ( ~ p
          | q
          | s )
        & ( ~ p
          | ~ r
          | s ) ) ),
    inference(assume_negation,status(cth),[pel17]) ).

fof(c1,negated_conjecture,
    ~ ( ( ( p
          & ( q
           => r ) )
       => s )
    <=> ( ( ~ p
          | q
          | s )
        & ( ~ p
          | ~ r
          | s ) ) ),
    inference(fof_simplification,status(thm),[c0]) ).

fof(c2,negated_conjecture,
    ( ( ( p
        & ( ~ q
          | r )
        & ~ s )
      | ( p
        & ~ q
        & ~ s )
      | ( p
        & r
        & ~ s ) )
    & ( ~ p
      | ( q
        & ~ r )
      | s
      | ( ( ~ p
          | q
          | s )
        & ( ~ p
          | ~ r
          | s ) ) ) ),
    inference(fof_nnf,status(thm),[c1]) ).

fof(c3,negated_conjecture,
    ( ( p
      | p
      | p )
    & ( p
      | p
      | r )
    & ( p
      | p
      | ~ s )
    & ( p
      | ~ q
      | p )
    & ( p
      | ~ q
      | r )
    & ( p
      | ~ q
      | ~ s )
    & ( p
      | ~ s
      | p )
    & ( p
      | ~ s
      | r )
    & ( p
      | ~ s
      | ~ s )
    & ( ~ q
      | r
      | p
      | p )
    & ( ~ q
      | r
      | p
      | r )
    & ( ~ q
      | r
      | p
      | ~ s )
    & ( ~ q
      | r
      | ~ q
      | p )
    & ( ~ q
      | r
      | ~ q
      | r )
    & ( ~ q
      | r
      | ~ q
      | ~ s )
    & ( ~ q
      | r
      | ~ s
      | p )
    & ( ~ q
      | r
      | ~ s
      | r )
    & ( ~ q
      | r
      | ~ s
      | ~ s )
    & ( ~ s
      | p
      | p )
    & ( ~ s
      | p
      | r )
    & ( ~ s
      | p
      | ~ s )
    & ( ~ s
      | ~ q
      | p )
    & ( ~ s
      | ~ q
      | r )
    & ( ~ s
      | ~ q
      | ~ s )
    & ( ~ s
      | ~ s
      | p )
    & ( ~ s
      | ~ s
      | r )
    & ( ~ s
      | ~ s
      | ~ s )
    & ( ~ p
      | q
      | s
      | ~ p
      | q
      | s )
    & ( ~ p
      | q
      | s
      | ~ p
      | ~ r
      | s )
    & ( ~ p
      | ~ r
      | s
      | ~ p
      | q
      | s )
    & ( ~ p
      | ~ r
      | s
      | ~ p
      | ~ r
      | s ) ),
    inference(distribute,status(thm),[c2]) ).

cnf(c4,negated_conjecture,
    ( p
    | p
    | p ),
    inference(split_conjunct,status(thm),[c3]) ).

cnf(c35,plain,
    p,
    inference(factor,status(thm),[c4]) ).

cnf(c31,negated_conjecture,
    ( ~ p
    | q
    | s
    | ~ p
    | q
    | s ),
    inference(split_conjunct,status(thm),[c3]) ).

cnf(c38,plain,
    ( ~ p
    | q
    | s ),
    inference(resolution,status(thm),[c31,c35]) ).

cnf(c39,plain,
    ( q
    | s ),
    inference(resolution,status(thm),[c38,c35]) ).

cnf(c30,negated_conjecture,
    ( ~ s
    | ~ s
    | ~ s ),
    inference(split_conjunct,status(thm),[c3]) ).

cnf(c42,plain,
    ( q
    | ~ s ),
    inference(resolution,status(thm),[c39,c30]) ).

cnf(c45,plain,
    q,
    inference(resolution,status(thm),[c42,c39]) ).

cnf(c17,negated_conjecture,
    ( ~ q
    | r
    | ~ q
    | r ),
    inference(split_conjunct,status(thm),[c3]) ).

cnf(c47,plain,
    ( ~ q
    | r ),
    inference(resolution,status(thm),[c45,c17]) ).

cnf(c48,plain,
    r,
    inference(resolution,status(thm),[c47,c45]) ).

cnf(c34,negated_conjecture,
    ( ~ p
    | ~ r
    | s
    | ~ p
    | ~ r
    | s ),
    inference(split_conjunct,status(thm),[c3]) ).

cnf(c49,plain,
    ( ~ p
    | ~ r
    | s ),
    inference(resolution,status(thm),[c34,c48]) ).

cnf(c50,plain,
    ( ~ p
    | s ),
    inference(resolution,status(thm),[c49,c48]) ).

cnf(c51,plain,
    s,
    inference(resolution,status(thm),[c50,c35]) ).

cnf(c52,plain,
    ~ s,
    inference(resolution,status(thm),[c51,c30]) ).

cnf(c54,plain,
    $false,
    inference(resolution,status(thm),[c52,c51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN047+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n011.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 : Tue Jul 12 07:18:13 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.58  # Version:  1.3
% 0.19/0.58  # SZS status Theorem
% 0.19/0.58  # SZS output start CNFRefutation
% See solution above
% 0.19/0.58  
% 0.19/0.58  # Initial clauses    : 31
% 0.19/0.58  # Processed clauses  : 20
% 0.19/0.58  # Factors computed   : 3
% 0.19/0.58  # Resolvents computed: 17
% 0.19/0.58  # Tautologies deleted: 2
% 0.19/0.58  # Forward subsumed   : 27
% 0.19/0.58  # Backward subsumed  : 15
% 0.19/0.58  # -------- CPU Time ---------
% 0.19/0.58  # User time          : 0.209 s
% 0.19/0.58  # System time        : 0.017 s
% 0.19/0.58  # Total time         : 0.227 s
%------------------------------------------------------------------------------