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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR077+6 : 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 : n013.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 04:15:03 PM UTC 2026

% Result   : Theorem 29.96s 29.73s
% Output   : CNFRefutation 29.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   25 (   8 unt;   0 def)
%            Number of atoms       :   65 (  10 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   68 (  28   ~;  29   |;   4   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   6 usr;   8 con; 0-1 aty)
%            Number of variables   :   29 (   2 sgn  14   !;   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_32531,axiom,
    ! [X545] :
      ( s__instance(X545,s__RealNumber)
     => ( s__instance(X545,s__NegativeRealNumber)
       => s__SignumFn(X545) = "-1" ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32531) ).

fof(kb_SUMO_32529,axiom,
    ! [X545] :
      ( s__instance(X545,s__RealNumber)
     => ( s__instance(X545,s__NonnegativeRealNumber)
       => ( s__SignumFn(X545) = "1"
          | s__SignumFn(X545) = "0" ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32529) ).

fof(kb_SUMO_27718,axiom,
    s__subclass(s__NegativeRealNumber,s__RealNumber),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_27718) ).

fof(prove_from_ALL,conjecture,
    ~ s__instance(s__Number3_1,s__NegativeRealNumber),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_ALL) ).

fof(local_1,axiom,
    s__instance(s__Number3_1,s__NonnegativeRealNumber),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_1) ).

fof(c_0_7,plain,
    ! [X2651,X2652,X2653] :
      ( ~ s__instance(X2652,s__SetOrClass)
      | ~ s__instance(X2651,s__SetOrClass)
      | ~ s__subclass(X2651,X2652)
      | ~ s__instance(X2653,X2651)
      | s__instance(X2653,X2652) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26636])]) ).

fof(c_0_8,plain,
    ! [X2649,X2650] :
      ( ( s__instance(X2649,s__SetOrClass)
        | ~ s__subclass(X2649,X2650) )
      & ( s__instance(X2650,s__SetOrClass)
        | ~ s__subclass(X2649,X2650) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26635])])]) ).

cnf(c_0_9,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_7]) ).

cnf(c_0_10,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__subclass(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__subclass(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_12,plain,
    ! [X2614] :
      ( ~ s__instance(X2614,s__RealNumber)
      | ~ s__instance(X2614,s__NegativeRealNumber)
      | s__SignumFn(X2614) = "-1" ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_32531])]) ).

fof(c_0_13,plain,
    ! [X2719] :
      ( ~ s__instance(X2719,s__RealNumber)
      | ~ s__instance(X2719,s__NonnegativeRealNumber)
      | s__SignumFn(X2719) = "1"
      | s__SignumFn(X2719) = "0" ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_32529])]) ).

cnf(c_0_14,plain,
    ( s__instance(X1,X2)
    | ~ s__instance(X1,X3)
    | ~ s__subclass(X3,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).

cnf(c_0_15,plain,
    s__subclass(s__NegativeRealNumber,s__RealNumber),
    inference(split_conjunct,[status(thm)],[kb_SUMO_27718]) ).

cnf(c_0_16,plain,
    ( s__SignumFn(X1) = "-1"
    | ~ s__instance(X1,s__RealNumber)
    | ~ s__instance(X1,s__NegativeRealNumber) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    ( s__SignumFn(X1) = "1"
    | s__SignumFn(X1) = "0"
    | ~ s__instance(X1,s__RealNumber)
    | ~ s__instance(X1,s__NonnegativeRealNumber) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,plain,
    ( s__instance(X1,s__RealNumber)
    | ~ s__instance(X1,s__NegativeRealNumber) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,plain,
    ( s__SignumFn(X1) = "1"
    | ~ s__instance(X1,s__NegativeRealNumber)
    | ~ s__instance(X1,s__NonnegativeRealNumber) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).

fof(c_0_20,negated_conjecture,
    s__instance(s__Number3_1,s__NegativeRealNumber),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_from_ALL])]) ).

cnf(c_0_21,plain,
    ( ~ s__instance(X1,s__NegativeRealNumber)
    | ~ s__instance(X1,s__NonnegativeRealNumber) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_19]),c_0_18]) ).

cnf(c_0_22,negated_conjecture,
    s__instance(s__Number3_1,s__NegativeRealNumber),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_23,plain,
    s__instance(s__Number3_1,s__NonnegativeRealNumber),
    inference(split_conjunct,[status(thm)],[local_1]) ).

cnf(c_0_24,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR077+6 : 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 : n013.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 16:46:11 EDT 2026
% 0.16/0.34  % CPUTime    : 
% 0.16/0.35  % start to proof: theBenchmark
% 29.96/29.73  % Version  : CSE_E---1.7
% 29.96/29.73  % Problem  : theBenchmark.p
% 29.96/29.73  % SZS status Theorem for theBenchmark.p
% 29.96/29.73  % SZS output start CNFRefutation
% See solution above
% 29.96/29.73  % Total time : 29.317s
%------------------------------------------------------------------------------