TSTP Solution File: SWV078+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWV078+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n024.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 : Wed Jul 20 21:15:45 EDT 2022

% Result   : Theorem 0.91s 1.14s
% Output   : Refutation 0.91s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(ttrue,axiom,
    true,
    input ).

cnf(c76,axiom,
    true,
    inference(split_conjunct,status(thm),[ttrue]) ).

fof(cl5_nebula_array_0019,conjecture,
    ( ( leq(n0,pv31)
      & leq(pv31,minus(n5,n1)) )
   => ( ( n0 != pv70
       => ( leq(n0,pv31)
          & leq(pv31,minus(n5,n1)) ) )
      & ( n0 = pv70
       => true ) ) ),
    input ).

fof(c66,negated_conjecture,
    ~ ( ( leq(n0,pv31)
        & leq(pv31,minus(n5,n1)) )
     => ( ( n0 != pv70
         => ( leq(n0,pv31)
            & leq(pv31,minus(n5,n1)) ) )
        & ( n0 = pv70
         => true ) ) ),
    inference(assume_negation,status(cth),[cl5_nebula_array_0019]) ).

fof(c67,negated_conjecture,
    ( leq(n0,pv31)
    & leq(pv31,minus(n5,n1))
    & ( ( n0 != pv70
        & ( ~ leq(n0,pv31)
          | ~ leq(pv31,minus(n5,n1)) ) )
      | ( n0 = pv70
        & ~ true ) ) ),
    inference(fof_nnf,status(thm),[c66]) ).

fof(c68,negated_conjecture,
    ( leq(n0,pv31)
    & leq(pv31,minus(n5,n1))
    & ( n0 != pv70
      | n0 = pv70 )
    & ( n0 != pv70
      | ~ true )
    & ( ~ leq(n0,pv31)
      | ~ leq(pv31,minus(n5,n1))
      | n0 = pv70 )
    & ( ~ leq(n0,pv31)
      | ~ leq(pv31,minus(n5,n1))
      | ~ true ) ),
    inference(distribute,status(thm),[c67]) ).

cnf(c69,negated_conjecture,
    leq(n0,pv31),
    inference(split_conjunct,status(thm),[c68]) ).

cnf(c70,negated_conjecture,
    leq(pv31,minus(n5,n1)),
    inference(split_conjunct,status(thm),[c68]) ).

cnf(c74,negated_conjecture,
    ( ~ leq(n0,pv31)
    | ~ leq(pv31,minus(n5,n1))
    | ~ true ),
    inference(split_conjunct,status(thm),[c68]) ).

cnf(c1070,plain,
    ( ~ leq(n0,pv31)
    | ~ true ),
    inference(resolution,status(thm),[c74,c70]) ).

cnf(c1233,plain,
    ~ true,
    inference(resolution,status(thm),[c1070,c69]) ).

cnf(c1234,plain,
    $false,
    inference(resolution,status(thm),[c1233,c76]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SWV078+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.10/0.11  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.32  % Computer : n024.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Thu Jun 16 06:04:18 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.91/1.14  # Version:  1.3
% 0.91/1.14  # SZS status Theorem
% 0.91/1.14  # SZS output start CNFRefutation
% See solution above
% 0.91/1.14  
% 0.91/1.14  # Initial clauses    : 318
% 0.91/1.14  # Processed clauses  : 196
% 0.91/1.14  # Factors computed   : 0
% 0.91/1.14  # Resolvents computed: 805
% 0.91/1.14  # Tautologies deleted: 2
% 0.91/1.14  # Forward subsumed   : 60
% 0.91/1.14  # Backward subsumed  : 3
% 0.91/1.14  # -------- CPU Time ---------
% 0.91/1.14  # User time          : 0.765 s
% 0.91/1.14  # System time        : 0.017 s
% 0.91/1.14  # Total time         : 0.782 s
%------------------------------------------------------------------------------