↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR056+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n015.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 12:13:14 PM UTC 2026

% Result   : Theorem 0.12s 0.43s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   32 (  11 unt;   0 def)
%            Number of atoms       :   60 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   52 (  24   ~;  18   |;   4   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   23 (  21   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f40,axiom,
    ( mtvisible(c_cyclistsmt)
   => artsupplies(c_tptpartsupplies) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f202,axiom,
    ! [INS] :
      ( ( supplies(INS)
        & mtvisible(c_tptp_spindleheadmt) )
     => tptpofobject(INS,f_tptpquantityfn_14(n_232)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f238,axiom,
    ! [OBJ] :
      ( artsupplies(OBJ)
     => supplies(OBJ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f254,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f279,axiom,
    genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1123,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1132,conjecture,
    ? [QUANTITY] :
      ( mtvisible(c_tptp_member3717_mt)
     => tptpofobject(c_tptpartsupplies,QUANTITY) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1133,negated_conjecture,
    ~ ? [QUANTITY] :
        ( mtvisible(c_tptp_member3717_mt)
       => tptpofobject(c_tptpartsupplies,QUANTITY) ),
    inference(negated_conjecture,[status(cth)],[f1132]) ).

fof(f1192,plain,
    ( artsupplies(c_tptpartsupplies)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(pre_NNF_transformation,[status(thm)],[f40]) ).

fof(f1193,plain,
    ( artsupplies(c_tptpartsupplies)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cnf_transformation,[status(thm)],[f1192]) ).

fof(f1428,plain,
    ! [INS] :
      ( tptpofobject(INS,f_tptpquantityfn_14(n_232))
      | ~ supplies(INS)
      | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(pre_NNF_transformation,[status(thm)],[f202]) ).

fof(f1429,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_14(n_232))
      | ~ supplies(X0)
      | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(cnf_transformation,[status(thm)],[f1428]) ).

fof(f1481,plain,
    ! [OBJ] :
      ( supplies(OBJ)
      | ~ artsupplies(OBJ) ),
    inference(pre_NNF_transformation,[status(thm)],[f238]) ).

fof(f1482,plain,
    ! [X0] :
      ( supplies(X0)
      | ~ artsupplies(X0) ),
    inference(cnf_transformation,[status(thm)],[f1481]) ).

fof(f1504,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[status(thm)],[f254]) ).

fof(f1539,plain,
    genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[status(thm)],[f279]) ).

fof(f3181,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(pre_NNF_transformation,[status(thm)],[f1123]) ).

fof(f3182,plain,
    ! [GENLMT] :
      ( mtvisible(GENLMT)
      | ! [SPECMT] :
          ( ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) ) ),
    inference(miniscoping,[status(thm)],[f3181]) ).

fof(f3183,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[status(thm)],[f3182]) ).

fof(f3204,plain,
    ! [QUANTITY] :
      ( ~ tptpofobject(c_tptpartsupplies,QUANTITY)
      & mtvisible(c_tptp_member3717_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f1133]) ).

fof(f3205,plain,
    ( ! [QUANTITY] : ~ tptpofobject(c_tptpartsupplies,QUANTITY)
    & mtvisible(c_tptp_member3717_mt) ),
    inference(miniscoping,[status(thm)],[f3204]) ).

fof(f3206,plain,
    mtvisible(c_tptp_member3717_mt),
    inference(cnf_transformation,[status(thm)],[f3205]) ).

fof(f3207,plain,
    ! [X0] : ~ tptpofobject(c_tptpartsupplies,X0),
    inference(cnf_transformation,[status(thm)],[f3205]) ).

fof(f3208,plain,
    ! [X0] :
      ( mtvisible(X0)
      | ~ genlmt(c_tptp_member3717_mt,X0) ),
    inference(resolution,[status(thm)],[f3183,f3206]) ).

fof(f3209,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(resolution,[status(thm)],[f3208,f1539]) ).

fof(f3210,plain,
    ! [X0] :
      ( mtvisible(X0)
      | ~ genlmt(c_tptp_spindleheadmt,X0) ),
    inference(resolution,[status(thm)],[f3209,f3183]) ).

fof(f3232,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_14(n_232))
      | ~ supplies(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1429,f3209]) ).

fof(f3233,plain,
    ! [X0] :
      ( ~ artsupplies(X0)
      | tptpofobject(X0,f_tptpquantityfn_14(n_232)) ),
    inference(resolution,[status(thm)],[f3232,f1482]) ).

fof(f3235,plain,
    ~ artsupplies(c_tptpartsupplies),
    inference(resolution,[status(thm)],[f3233,f3207]) ).

fof(f3236,plain,
    ~ mtvisible(c_cyclistsmt),
    inference(backward_subsumption_resolution,[status(thm)],[f1193,f3235]) ).

fof(f3237,plain,
    mtvisible(c_cyclistsmt),
    inference(resolution,[status(thm)],[f1504,f3210]) ).

fof(f3238,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f3237,f3236]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : CSR056+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.39  % Computer : n015.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Mon Sep 21 14:41:23 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.42  % Drodi V4.1.1
% 0.12/0.43  % Refutation found
% 0.12/0.43  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.43  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.47  % Elapsed time: 0.068258 seconds
% 0.12/0.47  % CPU time: 0.129203 seconds
% 0.12/0.47  % Total memory used: 22.548 MB
% 0.12/0.47  % Net memory used: 22.537 MB
%------------------------------------------------------------------------------