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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR084+7 : TPTP v9.2.1. Bugfixed v7.3.0.
% 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 : 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 04:15:07 PM UTC 2026

% Result   : Theorem 29.41s 30.69s
% Output   : CNFRefutation 29.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (  11 unt;   0 def)
%            Number of atoms       :   69 (  15 equ)
%            Maximal formula atoms :   45 (   4 avg)
%            Number of connectives :   86 (  31   ~;  36   |;  16   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   31 (   8 sgn  18   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_from_ALL,conjecture,
    ? [X2348] : s__instance(X2348,s__Invertebrate),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_ALL) ).

fof(kb_SUMO_32603,axiom,
    ! [X137,X12,X136] :
      ( X12 = s__UnionFn(X136,X137)
    <=> ! [X1138,X34,X1139] :
          ( ( s__instance(X136,s__SetOrClass)
            & s__instance(X12,s__SetOrClass)
            & s__instance(X137,s__SetOrClass) )
         => ( ( s__instance(X1138,X136)
              & s__instance(X34,X137)
              & s__instance(X1139,X12) )
           => ( s__instance(X1138,X12)
              & s__instance(X34,X12)
              & ( s__instance(X1139,X136)
                | s__instance(X1139,X137) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32603) ).

fof(kb_SUMO_27371,axiom,
    ! [X857] : s__instance(X857,s__Entity),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+2.ax',kb_SUMO_27371) ).

fof(c_0_3,negated_conjecture,
    ~ ? [X2348] : s__instance(X2348,s__Invertebrate),
    inference(assume_negation,[status(cth)],[prove_from_ALL]) ).

fof(c_0_4,negated_conjecture,
    ! [X2576] : ~ s__instance(X2576,s__Invertebrate),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).

fof(c_0_5,plain,
    ! [X2683,X2684,X2685,X2686,X2687,X2688,X2689,X2690,X2691] :
      ( ( s__instance(X2686,X2684)
        | ~ s__instance(X2686,X2685)
        | ~ s__instance(X2687,X2683)
        | ~ s__instance(X2688,X2684)
        | ~ s__instance(X2685,s__SetOrClass)
        | ~ s__instance(X2684,s__SetOrClass)
        | ~ s__instance(X2683,s__SetOrClass)
        | X2684 != s__UnionFn(X2685,X2683) )
      & ( s__instance(X2687,X2684)
        | ~ s__instance(X2686,X2685)
        | ~ s__instance(X2687,X2683)
        | ~ s__instance(X2688,X2684)
        | ~ s__instance(X2685,s__SetOrClass)
        | ~ s__instance(X2684,s__SetOrClass)
        | ~ s__instance(X2683,s__SetOrClass)
        | X2684 != s__UnionFn(X2685,X2683) )
      & ( s__instance(X2688,X2685)
        | s__instance(X2688,X2683)
        | ~ s__instance(X2686,X2685)
        | ~ s__instance(X2687,X2683)
        | ~ s__instance(X2688,X2684)
        | ~ s__instance(X2685,s__SetOrClass)
        | ~ s__instance(X2684,s__SetOrClass)
        | ~ s__instance(X2683,s__SetOrClass)
        | X2684 != s__UnionFn(X2685,X2683) )
      & ( s__instance(X2691,s__SetOrClass)
        | X2690 = s__UnionFn(X2691,X2689) )
      & ( s__instance(X2690,s__SetOrClass)
        | X2690 = s__UnionFn(X2691,X2689) )
      & ( s__instance(X2689,s__SetOrClass)
        | X2690 = s__UnionFn(X2691,X2689) )
      & ( s__instance(esk9_3(X2689,X2690,X2691),X2691)
        | X2690 = s__UnionFn(X2691,X2689) )
      & ( s__instance(esk10_3(X2689,X2690,X2691),X2689)
        | X2690 = s__UnionFn(X2691,X2689) )
      & ( s__instance(esk11_3(X2689,X2690,X2691),X2690)
        | X2690 = s__UnionFn(X2691,X2689) )
      & ( ~ s__instance(esk11_3(X2689,X2690,X2691),X2691)
        | ~ s__instance(esk9_3(X2689,X2690,X2691),X2690)
        | ~ s__instance(esk10_3(X2689,X2690,X2691),X2690)
        | X2690 = s__UnionFn(X2691,X2689) )
      & ( ~ s__instance(esk11_3(X2689,X2690,X2691),X2689)
        | ~ s__instance(esk9_3(X2689,X2690,X2691),X2690)
        | ~ s__instance(esk10_3(X2689,X2690,X2691),X2690)
        | X2690 = s__UnionFn(X2691,X2689) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_32603])])])])])]) ).

cnf(c_0_6,negated_conjecture,
    ~ s__instance(X1,s__Invertebrate),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ( s__instance(esk9_3(X1,X2,X3),X3)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    X1 = s__UnionFn(s__Invertebrate,X2),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

fof(c_0_9,plain,
    ! [X2700] : s__instance(X2700,s__Entity),
    inference(variable_rename,[status(thm)],[kb_SUMO_27371]) ).

cnf(c_0_10,negated_conjecture,
    X1 = X2,
    inference(spm,[status(thm)],[c_0_8,c_0_8]) ).

cnf(c_0_11,plain,
    s__instance(X1,s__Entity),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    ~ s__instance(X1,X2),
    inference(spm,[status(thm)],[c_0_6,c_0_10]) ).

cnf(c_0_13,plain,
    $false,
    inference(sr,[status(thm)],[c_0_11,c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR084+7 : TPTP v9.2.1. Bugfixed v7.3.0.
% 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
% 0.15/0.33  % Computer : n016.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Mon May  4 16:51:06 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 29.41/30.69  % Version  : CSE_E---1.7
% 29.41/30.69  % Problem  : theBenchmark.p
% 29.41/30.69  % SZS status Theorem for theBenchmark.p
% 29.41/30.69  % SZS output start CNFRefutation
% See solution above
% 29.41/30.69  % Total time : 30.302s
%------------------------------------------------------------------------------