↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR099+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:13:40 PM UTC 2026

% Result   : Theorem 56.53s 8.23s
% Output   : CNFRefutation 52.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   34 (  14 unt;   4 def)
%            Number of atoms       :   69 (   9 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   59 (  24   ~;  24   |;   4   &)
%                                         (   4 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,axiom,
    ! [V__X,V__Y] :
      ( s__subclass(V__X,V__Y)
     => ( s__instance(V__Y,s__SetOrClass)
        & s__instance(V__X,s__SetOrClass) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1440,axiom,
    ! [V__INST1,V__INST2] :
      ( ( s__instance(V__INST1,s__SetOrClass)
        & s__instance(V__INST2,s__SetOrClass) )
     => ( ( s__subclass(V__INST2,V__INST1)
          & s__subclass(V__INST1,V__INST2) )
       => V__INST1 = V__INST2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37983,axiom,
    s__subclass(s__Class30_1,s__Reptile),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37984,axiom,
    s__subclass(s__Reptile,s__Class30_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37985,conjecture,
    s__Class30_1 = s__Reptile,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37986,negated_conjecture,
    s__Class30_1 != s__Reptile,
    inference(negated_conjecture,[status(cth)],[f37985]) ).

fof(f38026,plain,
    ! [V__X,V__Y] :
      ( ( s__instance(V__Y,s__SetOrClass)
        & s__instance(V__X,s__SetOrClass) )
      | ~ s__subclass(V__X,V__Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f26]) ).

fof(f38027,plain,
    ! [X0,X1] :
      ( s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f38026]) ).

fof(f40764,plain,
    ! [V__INST1,V__INST2] :
      ( V__INST1 = V__INST2
      | ~ s__subclass(V__INST2,V__INST1)
      | ~ s__subclass(V__INST1,V__INST2)
      | ~ s__instance(V__INST1,s__SetOrClass)
      | ~ s__instance(V__INST2,s__SetOrClass) ),
    inference(pre_NNF_transformation,[status(thm)],[f1440]) ).

fof(f40765,plain,
    ! [X0,X1] :
      ( X1 = X0
      | ~ s__subclass(X0,X1)
      | ~ s__subclass(X1,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[status(thm)],[f40764]) ).

fof(f86673,plain,
    s__subclass(s__Class30_1,s__Reptile),
    inference(cnf_transformation,[status(thm)],[f37983]) ).

fof(f86674,plain,
    s__subclass(s__Reptile,s__Class30_1),
    inference(cnf_transformation,[status(thm)],[f37984]) ).

fof(f86675,plain,
    s__Class30_1 != s__Reptile,
    inference(cnf_transformation,[status(thm)],[f37986]) ).

fof(f87793,definition,
    ( sQ240_spl
  <=> s__instance(s__Reptile,s__SetOrClass) ),
    introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).

fof(f87795,plain,
    ( sQ240_spl
    | ~ s__instance(s__Reptile,s__SetOrClass) ),
    inference(component_clause,[status(thm)],[f87793]) ).

fof(f87799,definition,
    ( sQ242_spl
  <=> s__instance(s__Class30_1,s__SetOrClass) ),
    introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).

fof(f87801,plain,
    ( sQ242_spl
    | ~ s__instance(s__Class30_1,s__SetOrClass) ),
    inference(component_clause,[status(thm)],[f87799]) ).

fof(f87802,definition,
    ( sQ243_spl
  <=> s__Class30_1 = s__Reptile ),
    introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).

fof(f87803,plain,
    ( ~ sQ243_spl
    | s__Class30_1 = s__Reptile ),
    inference(component_clause,[status(thm)],[f87802]) ).

fof(f87930,plain,
    ( ~ sQ243_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f87803,f86675]) ).

fof(f87931,plain,
    ~ sQ243_spl,
    inference(contradiction_clause,[status(thm)],[f87930]) ).

fof(f87939,plain,
    s__instance(s__Class30_1,s__SetOrClass),
    inference(resolution,[status(thm)],[f38027,f86673]) ).

fof(f87940,plain,
    s__instance(s__Reptile,s__SetOrClass),
    inference(resolution,[status(thm)],[f38027,f86674]) ).

fof(f87953,plain,
    ( sQ242_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f87939,f87801]) ).

fof(f87954,plain,
    sQ242_spl,
    inference(contradiction_clause,[status(thm)],[f87953]) ).

fof(f87955,plain,
    ( sQ240_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f87940,f87795]) ).

fof(f87956,plain,
    sQ240_spl,
    inference(contradiction_clause,[status(thm)],[f87955]) ).

fof(f107092,plain,
    ( s__Reptile = s__Class30_1
    | ~ s__subclass(s__Reptile,s__Class30_1)
    | ~ s__instance(s__Reptile,s__SetOrClass)
    | ~ s__instance(s__Class30_1,s__SetOrClass) ),
    inference(resolution,[status(thm)],[f86673,f40765]) ).

fof(f107094,definition,
    ( sQ2458_spl
  <=> s__subclass(s__Reptile,s__Class30_1) ),
    introduced(definition,[new_symbols(definition,[sQ2458_spl])],[split_symbol_definition]) ).

fof(f107096,plain,
    ( sQ2458_spl
    | ~ s__subclass(s__Reptile,s__Class30_1) ),
    inference(component_clause,[status(thm)],[f107094]) ).

fof(f107097,plain,
    ( sQ243_spl
    | ~ sQ2458_spl
    | ~ sQ240_spl
    | ~ sQ242_spl ),
    inference(split_clause,[status(thm)],[f107092,f87799,f87793,f107094,f87802]) ).

fof(f107099,plain,
    ( sQ2458_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f107096,f86674]) ).

fof(f107100,plain,
    sQ2458_spl,
    inference(contradiction_clause,[status(thm)],[f107099]) ).

fof(f107101,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f87931,f87954,f87956,f107097,f107100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR099+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34  % Computer : n011.cluster.edu
% 0.08/0.34  % Model    : x86_64 x86_64
% 0.08/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34  % Memory   : 8046.5625MB
% 0.08/0.34  % OS       : Linux 6.8.0-71-generic
% 0.08/0.34  % CPULimit : 300
% 0.08/0.34  % WCLimit  : 300
% 0.08/0.34  % DateTime : Mon Sep 21 14:58:10 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.89/1.16  % Drodi V4.1.1
% 56.53/8.23  % Refutation found
% 56.53/8.23  % SZS status Theorem for theBenchmark: Theorem is valid
% 56.53/8.23  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.69/8.55  % Elapsed time: 8.156520 seconds
% 2.69/8.55  % CPU time: 57.408542 seconds
% 2.69/8.55  % Total memory used: 1.925 GB
% 2.69/8.55  % Net memory used: 1.915 GB
%------------------------------------------------------------------------------