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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR101+2 : 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 : n016.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 04:15:18 PM UTC 2026

% Result   : Theorem 7.48s 7.73s
% Output   : CNFRefutation 7.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (   7 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   47 (  20   ~;  17   |;   5   &)
%                                         (   0 <=>;   5  =>;   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    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   25 (   2 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kb_SUMO_27,axiom,
    ! [X6,X7,X8] :
      ( ( s__instance(X7,s__SetOrClass)
        & s__instance(X6,s__SetOrClass) )
     => ( ( s__subclass(X6,X7)
          & s__instance(X8,X6) )
       => s__instance(X8,X7) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+1.ax',kb_SUMO_27) ).

fof(kb_SUMO_26,axiom,
    ! [X6,X7] :
      ( s__subclass(X6,X7)
     => ( s__instance(X6,s__SetOrClass)
        & s__instance(X7,s__SetOrClass) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+1.ax',kb_SUMO_26) ).

fof(local_9,axiom,
    s__subclass(s__Class32_3,s__Class32_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_9) ).

fof(local_8,axiom,
    s__subclass(s__Class32_2,s__Class32_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_8) ).

fof(prove_from_SUMO_MILO,conjecture,
    ! [X1223] :
      ( s__instance(X1223,s__Class32_2)
     => s__instance(X1223,s__Class32_1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).

fof(c_0_5,plain,
    ! [X1309,X1310,X1311] :
      ( ~ s__instance(X1310,s__SetOrClass)
      | ~ s__instance(X1309,s__SetOrClass)
      | ~ s__subclass(X1309,X1310)
      | ~ s__instance(X1311,X1309)
      | s__instance(X1311,X1310) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_27])]) ).

fof(c_0_6,plain,
    ! [X1307,X1308] :
      ( ( s__instance(X1307,s__SetOrClass)
        | ~ s__subclass(X1307,X1308) )
      & ( s__instance(X1308,s__SetOrClass)
        | ~ s__subclass(X1307,X1308) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26])])]) ).

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__subclass(X3,X2)
    | ~ s__instance(X1,X3) ),
    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__Class32_3,s__Class32_1),
    inference(split_conjunct,[status(thm)],[local_9]) ).

cnf(c_0_12,plain,
    s__subclass(s__Class32_2,s__Class32_3),
    inference(split_conjunct,[status(thm)],[local_8]) ).

fof(c_0_13,negated_conjecture,
    ~ ! [X1223] :
        ( s__instance(X1223,s__Class32_2)
       => s__instance(X1223,s__Class32_1) ),
    inference(assume_negation,[status(cth)],[prove_from_SUMO_MILO]) ).

cnf(c_0_14,plain,
    ( s__instance(X1,s__Class32_1)
    | ~ s__instance(X1,s__Class32_3) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,plain,
    ( s__instance(X1,s__Class32_3)
    | ~ s__instance(X1,s__Class32_2) ),
    inference(spm,[status(thm)],[c_0_10,c_0_12]) ).

fof(c_0_16,negated_conjecture,
    ( s__instance(esk1_0,s__Class32_2)
    & ~ s__instance(esk1_0,s__Class32_1) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).

cnf(c_0_17,plain,
    ( s__instance(X1,s__Class32_1)
    | ~ s__instance(X1,s__Class32_2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,negated_conjecture,
    s__instance(esk1_0,s__Class32_2),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    ~ s__instance(esk1_0,s__Class32_1),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR101+2 : 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
% 0.16/0.34  % Computer : n016.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit   : 300
% 0.16/0.34  % WCLimit    : 300
% 0.16/0.34  % DateTime   : Mon May  4 16:58:36 EDT 2026
% 0.16/0.34  % CPUTime    : 
% 0.16/0.35  % start to proof: theBenchmark
% 7.48/7.73  % Version  : CSE_E---1.7
% 7.48/7.73  % Problem  : theBenchmark.p
% 7.48/7.73  % SZS status Theorem for theBenchmark.p
% 7.48/7.73  % SZS output start CNFRefutation
% See solution above
% 7.48/7.73  % Total time : 7.365s
%------------------------------------------------------------------------------