↑ Up

CSE_E---1.7.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR099+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 : n026.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 7.64s 7.82s
% Output   : CNFRefutation 7.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
%            Number of atoms       :   35 (   7 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   35 (  15   ~;  13   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   14 (   1 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kb_SUMO_1443,axiom,
    ! [X4,X5] :
      ( ( s__instance(X5,s__SetOrClass)
        & s__instance(X4,s__SetOrClass) )
     => ( ( s__subclass(X4,X5)
          & s__subclass(X5,X4) )
       => X4 = X5 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+1.ax',kb_SUMO_1443) ).

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(prove_from_SUMO_MILO,conjecture,
    s__Class30_1 = s__Reptile,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).

fof(local_2,axiom,
    s__subclass(s__Class30_1,s__Reptile),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_2) ).

fof(local_3,axiom,
    s__subclass(s__Reptile,s__Class30_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_3) ).

fof(c_0_5,plain,
    ! [X1920,X1921] :
      ( ~ s__instance(X1921,s__SetOrClass)
      | ~ s__instance(X1920,s__SetOrClass)
      | ~ s__subclass(X1920,X1921)
      | ~ s__subclass(X1921,X1920)
      | X1920 = X1921 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_1443])]) ).

fof(c_0_6,plain,
    ! [X1908,X1909] :
      ( ( s__instance(X1908,s__SetOrClass)
        | ~ s__subclass(X1908,X1909) )
      & ( s__instance(X1909,s__SetOrClass)
        | ~ s__subclass(X1908,X1909) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26])])]) ).

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

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

fof(c_0_9,negated_conjecture,
    s__Class30_1 != s__Reptile,
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_from_SUMO_MILO])]) ).

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

cnf(c_0_11,plain,
    s__subclass(s__Class30_1,s__Reptile),
    inference(split_conjunct,[status(thm)],[local_2]) ).

cnf(c_0_12,plain,
    s__subclass(s__Reptile,s__Class30_1),
    inference(split_conjunct,[status(thm)],[local_3]) ).

cnf(c_0_13,negated_conjecture,
    s__Class30_1 != s__Reptile,
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR099+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
% 0.16/0.33  % Computer : n026.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 16:58:23 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 7.64/7.82  % Version  : CSE_E---1.7
% 7.64/7.82  % Problem  : theBenchmark.p
% 7.64/7.82  % SZS status Theorem for theBenchmark.p
% 7.64/7.82  % SZS output start CNFRefutation
% See solution above
% 7.64/7.82  % Total time : 7.409s
%------------------------------------------------------------------------------