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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : SWC262-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n013.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 08:57:19 AM UTC 2026

% Result   : Unsatisfiable 0.22s 10.71s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   2 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1_6,axiom,
    sk1 = sk3,
    file('theBenchmark.p',co1_6) ).

cnf(c_204,plain,
    sk1 = sk3,
    inference(clausify,[status(thm)],[co1_6]) ).

fof(co1_7,axiom,
    totalorderedP(sk3),
    file('theBenchmark.p',co1_7) ).

cnf(c_205,plain,
    totalorderedP(sk3),
    inference(clausify,[status(thm)],[co1_7]) ).

fof(co1_8,axiom,
    ~ totalorderedP(sk1),
    file('theBenchmark.p',co1_8) ).

cnf(c_206,plain,
    ~ totalorderedP(sk1),
    inference(clausify,[status(thm)],[co1_8]) ).

cnf(c_208,plain,
    ~ totalorderedP(sk3),
    inference(paramod,[status(thm)],[c_204,c_206]) ).

cnf(c_207,plain,
    $false,
    inference(resolve,[status(thm)],[c_205,c_208]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWC262-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/10.65  % Computer : n013.cluster.edu
% 0.16/10.65  % Model    : x86_64 x86_64
% 0.16/10.65  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/10.65  % Memory   : 8046.5625MB
% 0.16/10.65  % OS       : Linux 6.8.0-71-generic
% 0.16/10.65  % CPULimit : 300
% 0.16/10.65  % WCLimit  : 300
% 0.16/10.65  % DateTime : Sat Sep 26 12:37:32 UTC 2026
% 0.16/10.66  % CPUTime  : 
% 0.16/10.66  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/10.66  % Process 2758305 was started by sandbox on n013,
% 0.16/10.66  % Sat Sep 26 12:37:32 2026
% 0.16/10.66  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.16/10.67  
% 0.16/10.67  % From the command line: assign(max_seconds, 300).
% 0.22/10.71  
% 0.22/10.71  % SZS status Unsatisfiable for theBenchmark
% 0.22/10.71  
% 0.22/10.71  % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.22/10.71  % Length of proof is 4.
% 0.22/10.71  % Level of proof is 1.
% 0.22/10.71  % Maximum clause weight is 8.000.
% 0.22/10.71  % Given clauses 0.
% 0.22/10.71  
% 0.22/10.71  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------