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Prover9---2026-6A.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : SWV904-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 09:09:18 AM UTC 2026

% Result   : Unsatisfiable 0.16s 0.44s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    5 (   5 unt;   0 def)
%            Number of atoms       :    5 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    2 (   1 usr;   2 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(cls_conjecture_0,axiom,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    file('theBenchmark.p',cls_conjecture_0) ).

cnf(c_28,plain,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    inference(clausify,[status(thm)],[cls_conjecture_0]) ).

fof(cls_conjecture_3,axiom,
    ~ c_Hoare__Mirabelle_Ostate__not__singleton,
    file('theBenchmark.p',cls_conjecture_3) ).

cnf(c_31,plain,
    ~ c_Hoare__Mirabelle_Ostate__not__singleton,
    inference(clausify,[status(thm)],[cls_conjecture_3]) ).

cnf(c_32,plain,
    $false,
    inference(resolve,[status(thm)],[c_28,c_31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWV904-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42  % Computer : n020.cluster.edu
% 0.16/0.42  % Model    : x86_64 x86_64
% 0.16/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42  % Memory   : 8046.5625MB
% 0.16/0.42  % OS       : Linux 6.8.0-71-generic
% 0.16/0.42  % CPULimit : 300
% 0.16/0.42  % WCLimit  : 300
% 0.16/0.42  % DateTime : Sat Sep 26 15:09:33 UTC 2026
% 0.16/0.42  % CPUTime  : 
% 0.16/0.43  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.43  % Process 1866505 was started by sandbox2 on n020,
% 0.16/0.43  % Sat Sep 26 15:09:33 2026
% 0.16/0.43  % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.16/0.43  
% 0.16/0.43  % From the command line: assign(max_seconds, 300).
% 0.16/0.44  
% 0.16/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.44  
% 0.16/0.44  % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.16/0.44  % Length of proof is 3.
% 0.16/0.44  % Level of proof is 1.
% 0.16/0.44  % Maximum clause weight is 1.000.
% 0.16/0.44  % Given clauses 0.
% 0.16/0.44  
% 0.16/0.44  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------