↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR033+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n026.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 12:12:57 PM UTC 2026

% Result   : Theorem 0.08s 0.39s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   63 (  26 unt;   0 def)
%            Number of atoms       :  111 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   85 (  37   ~;  33   |;   5   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [ARG1,ARG2] :
      ( geographicalsubregions(ARG1,ARG2)
     => inregion(ARG2,ARG1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_1(c_georegion_l1_x2_y0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ( mtvisible(c_tptpgeo_member2_mt)
   => geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ( mtvisible(c_tptpgeo_member2_mt)
   => geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ( mtvisible(c_tptpgeo_member2_mt)
   => geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ( mtvisible(c_tptpgeo_member2_mt)
   => inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f45,axiom,
    ! [X,Y,Z] :
      ( ( inregion(Y,Z)
        & inregion(X,Y) )
     => inregion(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f53,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f62,conjecture,
    ( mtvisible(c_tptpgeo_spindlecollectormt)
   => ( geolevel_1(c_georegion_l1_x2_y0)
      & inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f63,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_spindlecollectormt)
     => ( geolevel_1(c_georegion_l1_x2_y0)
        & inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) ) ),
    inference(negated_conjecture,[status(cth)],[f62]) ).

fof(f68,plain,
    ! [ARG1,ARG2] :
      ( inregion(ARG2,ARG1)
      | ~ geographicalsubregions(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f5]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( inregion(X1,X0)
      | ~ geographicalsubregions(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f68]) ).

fof(f72,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f73,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f74,plain,
    genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f75,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f76,plain,
    ( geolevel_1(c_georegion_l1_x2_y0)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(pre_NNF_transformation,[status(thm)],[f12]) ).

fof(f77,plain,
    ( geolevel_1(c_georegion_l1_x2_y0)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(cnf_transformation,[status(thm)],[f76]) ).

fof(f78,plain,
    ( geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f13]) ).

fof(f79,plain,
    ( geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(cnf_transformation,[status(thm)],[f78]) ).

fof(f80,plain,
    ( geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f14]) ).

fof(f81,plain,
    ( geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(cnf_transformation,[status(thm)],[f80]) ).

fof(f82,plain,
    ( geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f15]) ).

fof(f83,plain,
    ( geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(cnf_transformation,[status(thm)],[f82]) ).

fof(f84,plain,
    ( inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f16]) ).

fof(f85,plain,
    ( inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(cnf_transformation,[status(thm)],[f84]) ).

fof(f162,plain,
    ! [X,Y,Z] :
      ( inregion(X,Z)
      | ~ inregion(Y,Z)
      | ~ inregion(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f45]) ).

fof(f163,plain,
    ! [X,Z] :
      ( inregion(X,Z)
      | ! [Y] :
          ( ~ inregion(Y,Z)
          | ~ inregion(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f162]) ).

fof(f164,plain,
    ! [X0,X1,X2] :
      ( inregion(X0,X2)
      | ~ inregion(X1,X2)
      | ~ inregion(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f163]) ).

fof(f183,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(pre_NNF_transformation,[status(thm)],[f53]) ).

fof(f184,plain,
    ! [GENLMT] :
      ( mtvisible(GENLMT)
      | ! [SPECMT] :
          ( ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) ) ),
    inference(miniscoping,[status(thm)],[f183]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[status(thm)],[f184]) ).

fof(f206,plain,
    ( ( ~ geolevel_1(c_georegion_l1_x2_y0)
      | ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) )
    & mtvisible(c_tptpgeo_spindlecollectormt) ),
    inference(pre_NNF_transformation,[status(thm)],[f63]) ).

fof(f207,plain,
    mtvisible(c_tptpgeo_spindlecollectormt),
    inference(cnf_transformation,[status(thm)],[f206]) ).

fof(f208,plain,
    ( ~ geolevel_1(c_georegion_l1_x2_y0)
    | ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) ),
    inference(cnf_transformation,[status(thm)],[f206]) ).

fof(f210,plain,
    ( mtvisible(c_tptpgeo_member2_mt)
    | ~ mtvisible(c_tptpgeo_spindlecollectormt) ),
    inference(resolution,[status(thm)],[f185,f73]) ).

fof(f211,plain,
    mtvisible(c_tptpgeo_member2_mt),
    inference(forward_subsumption_resolution,[status(thm)],[f210,f207]) ).

fof(f212,plain,
    inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23),
    inference(backward_subsumption_resolution,[status(thm)],[f85,f211]) ).

fof(f217,plain,
    ( mtvisible(c_worldgeographymt)
    | ~ mtvisible(c_tptpgeo_spindleheadmt) ),
    inference(resolution,[status(thm)],[f72,f185]) ).

fof(f218,plain,
    ( mtvisible(c_tptpgeo_spindleheadmt)
    | ~ mtvisible(c_tptpgeo_member8_mt) ),
    inference(resolution,[status(thm)],[f74,f185]) ).

fof(f219,plain,
    ( mtvisible(c_tptpgeo_member8_mt)
    | ~ mtvisible(c_tptpgeo_spindlecollectormt) ),
    inference(resolution,[status(thm)],[f75,f185]) ).

fof(f220,plain,
    mtvisible(c_tptpgeo_member8_mt),
    inference(forward_subsumption_resolution,[status(thm)],[f219,f207]) ).

fof(f223,plain,
    geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2),
    inference(forward_subsumption_resolution,[status(thm)],[f79,f211]) ).

fof(f225,plain,
    inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0),
    inference(resolution,[status(thm)],[f223,f69]) ).

fof(f226,plain,
    geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7),
    inference(forward_subsumption_resolution,[status(thm)],[f81,f211]) ).

fof(f228,plain,
    inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2),
    inference(resolution,[status(thm)],[f226,f69]) ).

fof(f229,plain,
    ! [X0] :
      ( inregion(X0,c_georegion_l1_x2_y0)
      | ~ inregion(X0,c_georegion_l2_x8_y2) ),
    inference(resolution,[status(thm)],[f225,f164]) ).

fof(f231,plain,
    inregion(c_georegion_l3_x25_y7,c_georegion_l1_x2_y0),
    inference(resolution,[status(thm)],[f229,f228]) ).

fof(f232,plain,
    ! [X0] :
      ( inregion(X0,c_georegion_l1_x2_y0)
      | ~ inregion(X0,c_georegion_l3_x25_y7) ),
    inference(resolution,[status(thm)],[f231,f164]) ).

fof(f233,plain,
    mtvisible(c_worldgeographymt),
    inference(backward_subsumption_resolution,[status(thm)],[f217,f234]) ).

fof(f234,plain,
    mtvisible(c_tptpgeo_spindleheadmt),
    inference(forward_subsumption_resolution,[status(thm)],[f218,f220]) ).

fof(f235,plain,
    geolevel_1(c_georegion_l1_x2_y0),
    inference(backward_subsumption_resolution,[status(thm)],[f77,f233]) ).

fof(f237,plain,
    ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0),
    inference(backward_subsumption_resolution,[status(thm)],[f208,f235]) ).

fof(f240,plain,
    geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23),
    inference(forward_subsumption_resolution,[status(thm)],[f83,f211]) ).

fof(f243,plain,
    inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7),
    inference(resolution,[status(thm)],[f240,f69]) ).

fof(f246,plain,
    ! [X0] :
      ( inregion(X0,c_georegion_l3_x25_y7)
      | ~ inregion(X0,c_georegion_l4_x76_y23) ),
    inference(resolution,[status(thm)],[f243,f164]) ).

fof(f264,plain,
    inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7),
    inference(resolution,[status(thm)],[f246,f212]) ).

fof(f265,plain,
    inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0),
    inference(resolution,[status(thm)],[f264,f232]) ).

fof(f269,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f265,f237]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR033+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36  % Computer : n026.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Mon Sep 21 14:29:07 UTC 2026
% 0.08/0.37  % CPUTime  : 
% 0.08/0.38  % Drodi V4.1.1
% 0.08/0.39  % Refutation found
% 0.08/0.39  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.42  % Elapsed time: 0.048897 seconds
% 0.08/0.42  % CPU time: 0.137544 seconds
% 0.08/0.42  % Total memory used: 48.525 MB
% 0.08/0.42  % Net memory used: 48.496 MB
%------------------------------------------------------------------------------