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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWV107+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n003.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 : Tue May  5 05:20:50 PM UTC 2026

% Result   : Theorem 0.35s 1.63s
% Output   : CNFRefutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   4 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :   30 (   3   ~;   0   |;  13   &)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0019,conjecture,
    ( geq(minus(n3,n1),n0)
   => ( geq(minus(n6,n1),n0)
     => ( ( geq(n2,n0)
          & geq(minus(n999,n1),n0) )
       => ( geq(minus(n6,n1),n0)
         => ( geq(minus(n6,n1),n0)
           => ( geq(minus(n6,n1),n0)
             => ( ( geq(minus(n3,n1),n0)
                  & geq(minus(n999,n1),n0) )
               => true ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0019) ).

fof(ttrue,axiom,
    true,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',ttrue) ).

fof(c_0_2,negated_conjecture,
    ~ ( geq(minus(n3,n1),n0)
     => ( geq(minus(n6,n1),n0)
       => ( ( geq(n2,n0)
            & geq(minus(n999,n1),n0) )
         => ( geq(minus(n6,n1),n0)
           => ( geq(minus(n6,n1),n0)
             => ( geq(minus(n6,n1),n0)
               => ( ( geq(minus(n3,n1),n0)
                    & geq(minus(n999,n1),n0) )
                 => true ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0019]) ).

fof(c_0_3,negated_conjecture,
    ( geq(minus(n3,n1),n0)
    & geq(minus(n6,n1),n0)
    & geq(n2,n0)
    & geq(minus(n999,n1),n0)
    & geq(minus(n6,n1),n0)
    & geq(minus(n6,n1),n0)
    & geq(minus(n6,n1),n0)
    & geq(minus(n3,n1),n0)
    & geq(minus(n999,n1),n0)
    & ~ true ),
    inference(fof_nnf,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ~ true,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,plain,
    true,
    inference(split_conjunct,[status(thm)],[ttrue]) ).

cnf(c_0_6,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV107+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33  % Computer : n003.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Tue May  5 04:55:56 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 0.35/1.63  % Version  : CSE_E---1.7
% 0.35/1.63  % Problem  : theBenchmark.p
% 0.35/1.63  % SZS status Theorem for theBenchmark.p
% 0.35/1.63  % SZS output start CNFRefutation
% See solution above
% 0.35/1.63  % Total time : 1.271s
%------------------------------------------------------------------------------