↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR070+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n012.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 12:13:24 PM UTC 2026

% Result   : Theorem 0.72s 0.68s
% Output   : CNFRefutation 1.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   34 (  11 unt;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   47 (  20   ~;  17   |;   2   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-3 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f254,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f596,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_819(ARG1,ARG2)
     => tptptypes_6_818(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f602,axiom,
    ( mtvisible(c_tptp_member2668_mt)
   => tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1876,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_818(ARG1,ARG2)
     => tptptypes_5_802(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2254,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_9_824(ARG1,ARG2)
     => tptptypes_8_823(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2522,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_823(ARG1,ARG2)
     => tptptypes_7_819(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7997,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8006,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8007,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(negated_conjecture,[status(cth)],[f8006]) ).

fof(f8347,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(cnf_transformation,[status(thm)],[f254]) ).

fof(f8818,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_6_818(ARG1,ARG2)
      | ~ tptptypes_7_819(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f596]) ).

fof(f8819,plain,
    ! [X0,X1] :
      ( tptptypes_6_818(X0,X1)
      | ~ tptptypes_7_819(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f8818]) ).

fof(f8826,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ mtvisible(c_tptp_member2668_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f602]) ).

fof(f8827,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ mtvisible(c_tptp_member2668_mt) ),
    inference(cnf_transformation,[status(thm)],[f8826]) ).

fof(f10634,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_5_802(ARG1,ARG2)
      | ~ tptptypes_6_818(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f1876]) ).

fof(f10635,plain,
    ! [X0,X1] :
      ( tptptypes_5_802(X0,X1)
      | ~ tptptypes_6_818(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10634]) ).

fof(f11169,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_8_823(ARG1,ARG2)
      | ~ tptptypes_9_824(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f2254]) ).

fof(f11170,plain,
    ! [X0,X1] :
      ( tptptypes_8_823(X0,X1)
      | ~ tptptypes_9_824(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f11169]) ).

fof(f11535,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_7_819(ARG1,ARG2)
      | ~ tptptypes_8_823(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f2522]) ).

fof(f11536,plain,
    ! [X0,X1] :
      ( tptptypes_7_819(X0,X1)
      | ~ tptptypes_8_823(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f11535]) ).

fof(f21368,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(pre_NNF_transformation,[status(thm)],[f7997]) ).

fof(f21369,plain,
    ! [GENLMT] :
      ( mtvisible(GENLMT)
      | ! [SPECMT] :
          ( ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) ) ),
    inference(miniscoping,[status(thm)],[f21368]) ).

fof(f21370,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[status(thm)],[f21369]) ).

fof(f21391,plain,
    ( ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(pre_NNF_transformation,[status(thm)],[f8007]) ).

fof(f21392,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[status(thm)],[f21391]) ).

fof(f21393,plain,
    ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(cnf_transformation,[status(thm)],[f21391]) ).

fof(f21490,plain,
    ( mtvisible(c_tptp_member2668_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt) ),
    inference(resolution,[status(thm)],[f8347,f21370]) ).

fof(f21491,plain,
    mtvisible(c_tptp_member2668_mt),
    inference(forward_subsumption_resolution,[status(thm)],[f21490,f21392]) ).

fof(f21746,plain,
    tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(forward_subsumption_resolution,[status(thm)],[f8827,f21491]) ).

fof(f23378,plain,
    tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolution,[status(thm)],[f11170,f21746]) ).

fof(f23762,plain,
    tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolution,[status(thm)],[f11536,f23378]) ).

fof(f23764,plain,
    tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolution,[status(thm)],[f23762,f8819]) ).

fof(f23766,plain,
    tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolution,[status(thm)],[f23764,f10635]) ).

fof(f23767,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f23766,f21393]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : CSR070+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.30  % Computer : n012.cluster.edu
% 0.03/0.30  % Model    : x86_64 x86_64
% 0.03/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30  % Memory   : 8046.5625MB
% 0.03/0.30  % OS       : Linux 6.8.0-71-generic
% 0.03/0.30  % CPULimit : 300
% 0.03/0.30  % WCLimit  : 300
% 0.03/0.30  % DateTime : Mon Sep 21 14:44:30 UTC 2026
% 0.03/0.30  % CPUTime  : 
% 0.09/0.38  % Drodi V4.1.1
% 0.72/0.68  % Refutation found
% 0.72/0.68  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.72/0.68  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.19/1.91  % Elapsed time: 1.385040 seconds
% 3.19/1.91  % CPU time: 2.315410 seconds
% 3.19/1.91  % Total memory used: 420.421 MB
% 3.19/1.91  % Net memory used: 419.389 MB
%------------------------------------------------------------------------------