TSTP Solution File: SWV132+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWV132+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n015.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 21:15:55 EDT 2022

% Result   : Theorem 0.81s 1.03s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(gauss_array_0002,conjecture,
    ( ( ~ leq(tptp_float_0_001,pv1341)
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_best7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_sworst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_worst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_best7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_sworst7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_worst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_best7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_sworst7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_worst7) )
      & ( gt(loopcounter,n0)
       => leq(s_best7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_sworst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_worst7,n3) ) )
   => leq(s_best7,n3) ),
    input ).

fof(c66,negated_conjecture,
    ~ ( ( ~ leq(tptp_float_0_001,pv1341)
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_best7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_sworst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_worst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_best7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_sworst7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_worst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_best7) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_sworst7) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_worst7) )
        & ( gt(loopcounter,n0)
         => leq(s_best7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_sworst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_worst7,n3) ) )
     => leq(s_best7,n3) ),
    inference(assume_negation,status(cth),[gauss_array_0002]) ).

fof(c67,negated_conjecture,
    ~ ( ( ~ leq(tptp_float_0_001,pv1341)
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_best7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_sworst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_worst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_best7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_sworst7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_worst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_best7) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_sworst7) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_worst7) )
        & ( gt(loopcounter,n0)
         => leq(s_best7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_sworst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_worst7,n3) ) )
     => leq(s_best7,n3) ),
    inference(fof_simplification,status(thm),[c66]) ).

fof(c68,negated_conjecture,
    ( ~ leq(tptp_float_0_001,pv1341)
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_best7) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_sworst7) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_worst7) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_best7,n3) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_sworst7,n3) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_worst7,n3) )
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_best7) )
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_sworst7) )
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_worst7) )
    & ( ~ gt(loopcounter,n0)
      | leq(s_best7,n3) )
    & ( ~ gt(loopcounter,n0)
      | leq(s_sworst7,n3) )
    & ( ~ gt(loopcounter,n0)
      | leq(s_worst7,n3) )
    & ~ leq(s_best7,n3) ),
    inference(fof_nnf,status(thm),[c67]) ).

cnf(c82,negated_conjecture,
    ~ leq(s_best7,n3),
    inference(split_conjunct,status(thm),[c68]) ).

cnf(c69,negated_conjecture,
    ~ leq(tptp_float_0_001,pv1341),
    inference(split_conjunct,status(thm),[c68]) ).

cnf(c73,negated_conjecture,
    ( leq(tptp_float_0_001,pv1341)
    | leq(s_best7,n3) ),
    inference(split_conjunct,status(thm),[c68]) ).

cnf(c1098,plain,
    leq(s_best7,n3),
    inference(resolution,status(thm),[c73,c69]) ).

cnf(c1110,plain,
    $false,
    inference(resolution,status(thm),[c1098,c82]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV132+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 16 05:35:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.81/1.03  # Version:  1.3
% 0.81/1.03  # SZS status Theorem
% 0.81/1.03  # SZS output start CNFRefutation
% See solution above
% 0.81/1.03  
% 0.81/1.03  # Initial clauses    : 326
% 0.81/1.03  # Processed clauses  : 166
% 0.81/1.03  # Factors computed   : 0
% 0.81/1.03  # Resolvents computed: 642
% 0.81/1.03  # Tautologies deleted: 1
% 0.81/1.03  # Forward subsumed   : 62
% 0.81/1.03  # Backward subsumed  : 4
% 0.81/1.03  # -------- CPU Time ---------
% 0.81/1.03  # User time          : 0.671 s
% 0.81/1.03  # System time        : 0.018 s
% 0.81/1.03  # Total time         : 0.689 s
%------------------------------------------------------------------------------