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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR098+7 : 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 : n027.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 04:15:16 PM UTC 2026

% Result   : Theorem 30.42s 30.40s
% Output   : CNFRefutation 30.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (  10 unt;   0 def)
%            Number of atoms       :   68 (  15 equ)
%            Maximal formula atoms :   45 (   5 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    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   28 (   7 sgn  16   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_from_ALL,conjecture,
    ? [X2341] : s__instance(X2341,s__Amphibian),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32603) ).

fof(kb_SUMO_51184,axiom,
    s__instance(s__secretesToxin__m,s__BinaryPredicate),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_51184) ).

fof(c_0_3,negated_conjecture,
    ~ ? [X2341] : s__instance(X2341,s__Amphibian),
    inference(assume_negation,[status(cth)],[prove_from_ALL]) ).

fof(c_0_4,negated_conjecture,
    ! [X2749] : ~ s__instance(X2749,s__Amphibian),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).

fof(c_0_5,plain,
    ! [X2937,X2938,X2939,X2940,X2941,X2942,X2943,X2944,X2945] :
      ( ( s__instance(X2940,X2938)
        | ~ s__instance(X2940,X2939)
        | ~ s__instance(X2941,X2937)
        | ~ s__instance(X2942,X2938)
        | ~ s__instance(X2939,s__SetOrClass)
        | ~ s__instance(X2938,s__SetOrClass)
        | ~ s__instance(X2937,s__SetOrClass)
        | X2938 != s__UnionFn(X2939,X2937) )
      & ( s__instance(X2941,X2938)
        | ~ s__instance(X2940,X2939)
        | ~ s__instance(X2941,X2937)
        | ~ s__instance(X2942,X2938)
        | ~ s__instance(X2939,s__SetOrClass)
        | ~ s__instance(X2938,s__SetOrClass)
        | ~ s__instance(X2937,s__SetOrClass)
        | X2938 != s__UnionFn(X2939,X2937) )
      & ( s__instance(X2942,X2939)
        | s__instance(X2942,X2937)
        | ~ s__instance(X2940,X2939)
        | ~ s__instance(X2941,X2937)
        | ~ s__instance(X2942,X2938)
        | ~ s__instance(X2939,s__SetOrClass)
        | ~ s__instance(X2938,s__SetOrClass)
        | ~ s__instance(X2937,s__SetOrClass)
        | X2938 != s__UnionFn(X2939,X2937) )
      & ( s__instance(X2945,s__SetOrClass)
        | X2944 = s__UnionFn(X2945,X2943) )
      & ( s__instance(X2944,s__SetOrClass)
        | X2944 = s__UnionFn(X2945,X2943) )
      & ( s__instance(X2943,s__SetOrClass)
        | X2944 = s__UnionFn(X2945,X2943) )
      & ( s__instance(esk11_3(X2943,X2944,X2945),X2945)
        | X2944 = s__UnionFn(X2945,X2943) )
      & ( s__instance(esk12_3(X2943,X2944,X2945),X2943)
        | X2944 = s__UnionFn(X2945,X2943) )
      & ( s__instance(esk13_3(X2943,X2944,X2945),X2944)
        | X2944 = s__UnionFn(X2945,X2943) )
      & ( ~ s__instance(esk13_3(X2943,X2944,X2945),X2945)
        | ~ s__instance(esk11_3(X2943,X2944,X2945),X2944)
        | ~ s__instance(esk12_3(X2943,X2944,X2945),X2944)
        | X2944 = s__UnionFn(X2945,X2943) )
      & ( ~ s__instance(esk13_3(X2943,X2944,X2945),X2943)
        | ~ s__instance(esk11_3(X2943,X2944,X2945),X2944)
        | ~ s__instance(esk12_3(X2943,X2944,X2945),X2944)
        | X2944 = s__UnionFn(X2945,X2943) ) ),
    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__Amphibian),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ( s__instance(esk11_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__Amphibian,X2),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,negated_conjecture,
    X1 = X2,
    inference(spm,[status(thm)],[c_0_8,c_0_8]) ).

cnf(c_0_10,plain,
    s__instance(s__secretesToxin__m,s__BinaryPredicate),
    inference(split_conjunct,[status(thm)],[kb_SUMO_51184]) ).

cnf(c_0_11,negated_conjecture,
    ~ s__instance(X1,X2),
    inference(spm,[status(thm)],[c_0_6,c_0_9]) ).

cnf(c_0_12,plain,
    $false,
    inference(sr,[status(thm)],[c_0_10,c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR098+7 : 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 : n027.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 16:57:35 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 30.42/30.40  % Version  : CSE_E---1.7
% 30.42/30.40  % Problem  : theBenchmark.p
% 30.42/30.40  % SZS status Theorem for theBenchmark.p
% 30.42/30.40  % SZS output start CNFRefutation
% See solution above
% 30.42/30.40  % Total time : 30.006s
%------------------------------------------------------------------------------