TSTP Solution File: SWV131+1 by PyRes---1.5

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SWV131+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n026.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  : 300s
% DateTime : Thu May  9 17:44:17 EDT 2024

% Result   : Theorem 0.71s 0.93s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   4 unt;   0 def)
%            Number of atoms       :  110 (   0 equ)
%            Maximal formula atoms :   26 (  12 avg)
%            Number of connectives :  134 (  33   ~;  13   |;  49   &)
%                                         (   0 <=>;  39  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(gauss_array_0001,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(n0,s_best7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_array_0001) ).

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(n0,s_best7) ),
    inference(assume_negation,[status(cth)],[gauss_array_0001]) ).

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(n0,s_best7) ),
    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(n0,s_best7) ),
    inference(fof_nnf,[status(thm)],[c67]) ).

cnf(c82,negated_conjecture,
    ~ leq(n0,s_best7),
    inference(split_conjunct,[status(thm)],[c68]) ).

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

cnf(c70,negated_conjecture,
    ( leq(tptp_float_0_001,pv1341)
    | leq(n0,s_best7) ),
    inference(split_conjunct,[status(thm)],[c68]) ).

cnf(c1034,plain,
    leq(n0,s_best7),
    inference(resolution,[status(thm)],[c70,c69]) ).

cnf(c1038,plain,
    $false,
    inference(resolution,[status(thm)],[c1034,c82]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV131+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May  9 06:13:37 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.71/0.93  % Version:  1.5
% 0.71/0.93  % SZS status Theorem
% 0.71/0.93  % SZS output start CNFRefutation
% See solution above
% 0.71/0.93  
% 0.71/0.93  % Initial clauses    : 326
% 0.71/0.93  % Processed clauses  : 152
% 0.71/0.93  % Factors computed   : 22
% 0.71/0.93  % Resolvents computed: 550
% 0.71/0.93  % Tautologies deleted: 2
% 0.71/0.93  % Forward subsumed   : 57
% 0.71/0.93  % Backward subsumed  : 1
% 0.71/0.93  % -------- CPU Time ---------
% 0.71/0.93  % User time          : 0.561 s
% 0.71/0.93  % System time        : 0.019 s
% 0.71/0.93  % Total time         : 0.580 s
%------------------------------------------------------------------------------