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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR035+3 : TPTP v9.2.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n012.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 04:14:14 PM UTC 2026

% Result   : Theorem 2.90s 2.72s
% Output   : CNFRefutation 2.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   5   ~;   2   |;   1   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-3 aty)
%            Number of variables   :    4 (   1 sgn   1   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query135,conjecture,
    ? [X15] :
      ( mtvisible(c_englishmt)
     => prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query135) ).

fof(ax2_572,axiom,
    ( mtvisible(c_englishmt)
   => prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_572) ).

fof(c_0_2,negated_conjecture,
    ~ ? [X15] :
        ( mtvisible(c_englishmt)
       => prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X15) ),
    inference(assume_negation,[status(cth)],[query135]) ).

fof(c_0_3,plain,
    ( ~ mtvisible(c_englishmt)
    | prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege) ),
    inference(fof_nnf,[status(thm)],[ax2_572]) ).

fof(c_0_4,negated_conjecture,
    ! [X11964] :
      ( mtvisible(c_englishmt)
      & ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X11964) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])]) ).

cnf(c_0_5,plain,
    ( prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),s_thefootballteamwhohasbeenaffiliatedwithbeloitcollege)
    | ~ mtvisible(c_englishmt) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    mtvisible(c_englishmt),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ~ prettystring(f_instancewithrelationtofn(c_footballteam,c_affiliatedwith,c_beloitcollege),X1),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]),c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.29  % Problem    : CSR035+3 : TPTP v9.2.1. Released v3.4.0.
% 0.05/0.29  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.08/0.51  % Computer : n012.cluster.edu
% 0.08/0.51  % Model    : x86_64 x86_64
% 0.08/0.51  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.51  % Memory   : 8042.1875MB
% 0.08/0.51  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.51  % CPULimit   : 300
% 0.08/0.51  % WCLimit    : 300
% 0.08/0.51  % DateTime   : Mon May  4 16:28:31 EDT 2026
% 0.08/0.51  % CPUTime    : 
% 0.08/0.52  % start to proof: theBenchmark
% 2.90/2.72  % Version  : CSE_E---1.7
% 2.90/2.72  % Problem  : theBenchmark.p
% 2.90/2.72  % SZS status Theorem for theBenchmark.p
% 2.90/2.72  % SZS output start CNFRefutation
% See solution above
% 2.90/2.73  % Total time : 1.989s
%------------------------------------------------------------------------------