↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR062+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/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 12:13:18 PM UTC 2026

% Result   : Theorem 0.16s 11.06s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   35 (  11 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   50 (  22   ~;  18   |;   3   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   37 (  35   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f34,axiom,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f61,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_390(ARG1,ARG2)
     => tptptypes_7_389(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f99,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG1,ARG2)
     => tptptypes_5_387(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f302,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_389(ARG1,ARG2)
     => tptptypes_6_388(ARG2,ARG1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f460,axiom,
    ( mtvisible(c_cyclistsmt)
   => tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f1132,conjecture,
    ? [ARG1] :
      ( mtvisible(c_tptp_member3205_mt)
     => tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1133,negated_conjecture,
    ~ ? [ARG1] :
        ( mtvisible(c_tptp_member3205_mt)
       => tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    inference(negated_conjecture,[status(cth)],[f1132]) ).

fof(f1184,plain,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[status(thm)],[f34]) ).

fof(f1222,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_7_389(ARG1,ARG2)
      | ~ tptptypes_8_390(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f61]) ).

fof(f1223,plain,
    ! [X0,X1] :
      ( tptptypes_7_389(X0,X1)
      | ~ tptptypes_8_390(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1222]) ).

fof(f1275,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_5_387(ARG1,ARG2)
      | ~ tptptypes_6_388(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f99]) ).

fof(f1276,plain,
    ! [X0,X1] :
      ( tptptypes_5_387(X0,X1)
      | ~ tptptypes_6_388(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1275]) ).

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

fof(f1575,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG2,ARG1)
      | ~ tptptypes_7_389(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f302]) ).

fof(f1576,plain,
    ! [X0,X1] :
      ( tptptypes_6_388(X1,X0)
      | ~ tptptypes_7_389(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1575]) ).

fof(f1804,plain,
    ( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(pre_NNF_transformation,[status(thm)],[f460]) ).

fof(f1805,plain,
    ( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cnf_transformation,[status(thm)],[f1804]) ).

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,
    ! [ARG1] :
      ( ~ tptptypes_5_387(ARG1,c_pushingwithfingers)
      & mtvisible(c_tptp_member3205_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f1133]) ).

fof(f3205,plain,
    ( ! [ARG1] : ~ tptptypes_5_387(ARG1,c_pushingwithfingers)
    & mtvisible(c_tptp_member3205_mt) ),
    inference(miniscoping,[status(thm)],[f3204]) ).

fof(f3206,plain,
    mtvisible(c_tptp_member3205_mt),
    inference(cnf_transformation,[status(thm)],[f3205]) ).

fof(f3207,plain,
    ! [X0] : ~ tptptypes_5_387(X0,c_pushingwithfingers),
    inference(cnf_transformation,[status(thm)],[f3205]) ).

fof(f3208,plain,
    ! [X0] :
      ( mtvisible(X0)
      | ~ genlmt(c_tptp_member3205_mt,X0) ),
    inference(resolution,[status(thm)],[f3183,f3206]) ).

fof(f3209,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(resolution,[status(thm)],[f3208,f1184]) ).

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

fof(f3234,plain,
    mtvisible(c_cyclistsmt),
    inference(resolution,[status(thm)],[f1504,f3210]) ).

fof(f3347,plain,
    ! [X0,X1] :
      ( tptptypes_5_387(X1,X0)
      | ~ tptptypes_7_389(X0,X1) ),
    inference(resolution,[status(thm)],[f1576,f1276]) ).

fof(f3354,plain,
    ! [X0,X1] :
      ( ~ tptptypes_8_390(X1,X0)
      | tptptypes_5_387(X0,X1) ),
    inference(resolution,[status(thm)],[f3347,f1223]) ).

fof(f3439,plain,
    tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027),
    inference(forward_subsumption_resolution,[status(thm)],[f1805,f3234]) ).

fof(f3440,plain,
    tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers),
    inference(resolution,[status(thm)],[f3439,f3354]) ).

fof(f3441,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f3440,f3207]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR062+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/11.02  % Computer : n015.cluster.edu
% 0.12/11.02  % Model    : x86_64 x86_64
% 0.12/11.02  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/11.02  % Memory   : 8046.5625MB
% 0.12/11.02  % OS       : Linux 6.8.0-71-generic
% 0.12/11.02  % CPULimit : 300
% 0.12/11.02  % WCLimit  : 300
% 0.12/11.02  % DateTime : Mon Sep 21 14:44:31 UTC 2026
% 0.12/11.02  % CPUTime  : 
% 0.16/11.03  % Drodi V4.1.1
% 0.16/11.06  % Refutation found
% 0.16/11.06  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/11.06  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/11.10  % Elapsed time: 0.074692 seconds
% 0.16/11.10  % CPU time: 0.237750 seconds
% 0.16/11.10  % Total memory used: 103.271 MB
% 0.16/11.10  % Net memory used: 103.200 MB
%------------------------------------------------------------------------------