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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR118+3 : TPTP v9.2.1. Bugfixed v7.3.0.
% 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 : n007.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 04:15:55 PM UTC 2026

% Result   : Theorem 77.16s 76.10s
% Output   : CNFRefutation 77.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (   8 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   39 (  17   ~;  15   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   21 (   2 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kb_SUMO_26636,axiom,
    ! [X1,X15,X13] :
      ( ( s__instance(X15,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) )
     => ( ( s__subclass(X1,X15)
          & s__instance(X13,X1) )
       => s__instance(X13,X15) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_26636) ).

fof(kb_SUMO_26635,axiom,
    ! [X1,X15] :
      ( s__subclass(X1,X15)
     => ( s__instance(X1,s__SetOrClass)
        & s__instance(X15,s__SetOrClass) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_26635) ).

fof(kb_SUMO_68888,axiom,
    s__subclass(s__Human,s__Mammal),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+5.ax',kb_SUMO_68888) ).

fof(abe_mammal,conjecture,
    s__instance(s__AbrahamLincoln,s__Mammal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',abe_mammal) ).

fof(abe_human,axiom,
    s__instance(s__AbrahamLincoln,s__Human),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',abe_human) ).

fof(c_0_5,plain,
    ! [X2495,X2496,X2497] :
      ( ~ s__instance(X2496,s__SetOrClass)
      | ~ s__instance(X2495,s__SetOrClass)
      | ~ s__subclass(X2495,X2496)
      | ~ s__instance(X2497,X2495)
      | s__instance(X2497,X2496) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26636])]) ).

fof(c_0_6,plain,
    ! [X2493,X2494] :
      ( ( s__instance(X2493,s__SetOrClass)
        | ~ s__subclass(X2493,X2494) )
      & ( s__instance(X2494,s__SetOrClass)
        | ~ s__subclass(X2493,X2494) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26635])])]) ).

cnf(c_0_7,plain,
    ( s__instance(X3,X1)
    | ~ s__instance(X1,s__SetOrClass)
    | ~ s__instance(X2,s__SetOrClass)
    | ~ s__subclass(X2,X1)
    | ~ s__instance(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__subclass(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__subclass(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( s__instance(X1,X2)
    | ~ s__instance(X1,X3)
    | ~ s__subclass(X3,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).

cnf(c_0_11,plain,
    s__subclass(s__Human,s__Mammal),
    inference(split_conjunct,[status(thm)],[kb_SUMO_68888]) ).

fof(c_0_12,negated_conjecture,
    ~ s__instance(s__AbrahamLincoln,s__Mammal),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[abe_mammal])]) ).

cnf(c_0_13,plain,
    ( s__instance(X1,s__Mammal)
    | ~ s__instance(X1,s__Human) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,plain,
    s__instance(s__AbrahamLincoln,s__Human),
    inference(split_conjunct,[status(thm)],[abe_human]) ).

cnf(c_0_15,negated_conjecture,
    ~ s__instance(s__AbrahamLincoln,s__Mammal),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR118+3 : TPTP v9.2.1. Bugfixed v7.3.0.
% 0.00/0.12  % 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
% 0.16/0.33  % Computer : n007.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   : Mon May  4 17:07:54 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.35  % start to proof: theBenchmark
% 77.16/76.10  % Version  : CSE_E---1.7
% 77.16/76.10  % Problem  : theBenchmark.p
% 77.16/76.10  % SZS status Theorem for theBenchmark.p
% 77.16/76.10  % SZS output start CNFRefutation
% See solution above
% 77.16/76.10  % Total time : 75.710s
%------------------------------------------------------------------------------