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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWV045+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 : n017.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 05:20:42 PM UTC 2026

% Result   : Theorem 0.34s 1.63s
% Output   : CNFRefutation 0.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   4 unt;   0 def)
%            Number of atoms       :   16 (   3 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   12 (   3   ~;   0   |;   7   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(cl5_nebula_norm_0007,conjecture,
    ( ( pv76 = sum(n0,minus(n135300,n1),a_select3(q,pv77,pv25))
      & leq(n0,pv25)
      & leq(pv25,minus(n5,n1)) )
   => true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0007) ).

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

fof(c_0_2,negated_conjecture,
    ~ ( ( pv76 = sum(n0,minus(n135300,n1),a_select3(q,pv77,pv25))
        & leq(n0,pv25)
        & leq(pv25,minus(n5,n1)) )
     => true ),
    inference(assume_negation,[status(cth)],[cl5_nebula_norm_0007]) ).

fof(c_0_3,negated_conjecture,
    ( pv76 = sum(n0,minus(n135300,n1),a_select3(q,pv77,pv25))
    & leq(n0,pv25)
    & leq(pv25,minus(n5,n1))
    & ~ 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    : SWV045+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
% 0.14/0.33  % Computer : n017.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Tue May  5 04:53:12 EDT 2026
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  % start to proof: theBenchmark
% 0.34/1.63  % Version  : CSE_E---1.7
% 0.34/1.63  % Problem  : theBenchmark.p
% 0.34/1.63  % SZS status Theorem for theBenchmark.p
% 0.34/1.63  % SZS output start CNFRefutation
% See solution above
% 0.34/1.63  % Total time : 1.272s
%------------------------------------------------------------------------------