TSTP Solution File: CSR062+3 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : CSR062+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Fri Jul 15 21:57:20 EDT 2022

% Result   : Theorem 12.09s 12.25s
% Output   : CNFRefutation 12.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   55 (  21 unt;   0 def)
%            Number of atoms       :   95 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   72 (  32   ~;  26   |;   2   &)
%                                         (   0 <=>;  12  =>;   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   :   45 (   1 sgn  33   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax2_968,axiom,
    ( mtvisible(c_cyclistsmt)
   => tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ) ).

fof(ax2_1050,axiom,
    ( mtvisible(c_cyclistsmt)
   => tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ) ).

fof(ax2_1143,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG1,ARG2)
     => tptptypes_5_387(ARG1,ARG2) ) ).

fof(ax2_1462,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_389(ARG1,ARG2)
     => tptptypes_6_388(ARG2,ARG1) ) ).

fof(ax2_2187,axiom,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt) ).

fof(ax2_2531,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_390(ARG1,ARG2)
     => tptptypes_7_389(ARG1,ARG2) ) ).

fof(ax2_3103,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG1,ARG2)
     => tptptypes_5_387(ARG1,ARG2) ) ).

fof(ax2_3146,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_390(ARG1,ARG2)
     => tptptypes_7_389(ARG1,ARG2) ) ).

fof(ax2_3529,axiom,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt) ).

fof(ax2_3784,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_389(ARG1,ARG2)
     => tptptypes_6_388(ARG2,ARG1) ) ).

fof(ax2_4288,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt) ).

fof(ax2_4481,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt) ).

fof(ax2_7997,axiom,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ) ).

fof(query162,conjecture,
    ? [ARG1] :
      ( mtvisible(c_tptp_member3205_mt)
     => tptptypes_5_387(ARG1,c_pushingwithfingers) ) ).

fof(subgoal_0,plain,
    ? [ARG1] :
      ( mtvisible(c_tptp_member3205_mt)
     => tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    inference(strip,[],[query162]) ).

fof(negate_0_0,plain,
    ~ ? [ARG1] :
        ( mtvisible(c_tptp_member3205_mt)
       => tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_6_388(ARG1,ARG2)
      | tptptypes_5_387(ARG1,ARG2) ),
    inference(canonicalize,[],[ax2_3103]) ).

fof(normalize_0_1,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_6_388(ARG1,ARG2)
      | tptptypes_5_387(ARG1,ARG2) ),
    inference(specialize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_7_389(ARG1,ARG2)
      | tptptypes_6_388(ARG2,ARG1) ),
    inference(canonicalize,[],[ax2_3784]) ).

fof(normalize_0_3,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_7_389(ARG1,ARG2)
      | tptptypes_6_388(ARG2,ARG1) ),
    inference(specialize,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_8_390(ARG1,ARG2)
      | tptptypes_7_389(ARG1,ARG2) ),
    inference(canonicalize,[],[ax2_3146]) ).

fof(normalize_0_5,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_8_390(ARG1,ARG2)
      | tptptypes_7_389(ARG1,ARG2) ),
    inference(specialize,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    inference(canonicalize,[],[ax2_1050]) ).

fof(normalize_0_7,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(canonicalize,[],[ax2_4481]) ).

fof(normalize_0_8,plain,
    ! [GENLMT,SPECMT] :
      ( ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT)
      | mtvisible(GENLMT) ),
    inference(canonicalize,[],[ax2_7997]) ).

fof(normalize_0_9,plain,
    ! [GENLMT,SPECMT] :
      ( ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT)
      | mtvisible(GENLMT) ),
    inference(specialize,[],[normalize_0_8]) ).

fof(normalize_0_10,plain,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    inference(canonicalize,[],[ax2_3529]) ).

fof(normalize_0_11,plain,
    ( mtvisible(c_tptp_member3205_mt)
    & ! [ARG1] : ~ tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_12,plain,
    mtvisible(c_tptp_member3205_mt),
    inference(conjunct,[],[normalize_0_11]) ).

fof(normalize_0_13,plain,
    ! [ARG1] : ~ tptptypes_5_387(ARG1,c_pushingwithfingers),
    inference(conjunct,[],[normalize_0_11]) ).

fof(normalize_0_14,plain,
    ! [ARG1] : ~ tptptypes_5_387(ARG1,c_pushingwithfingers),
    inference(specialize,[],[normalize_0_13]) ).

cnf(refute_0_0,plain,
    ( ~ tptptypes_6_388(ARG1,ARG2)
    | tptptypes_5_387(ARG1,ARG2) ),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    ( ~ tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers)
    | tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers) ),
    inference(subst,[],[refute_0_0:[bind(ARG1,$fot(c_tptpcol_15_4027)),bind(ARG2,$fot(c_pushingwithfingers))]]) ).

cnf(refute_0_2,plain,
    ( ~ tptptypes_7_389(ARG1,ARG2)
    | tptptypes_6_388(ARG2,ARG1) ),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_3,plain,
    ( ~ tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027)
    | tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers) ),
    inference(subst,[],[refute_0_2:[bind(ARG1,$fot(c_pushingwithfingers)),bind(ARG2,$fot(c_tptpcol_15_4027))]]) ).

cnf(refute_0_4,plain,
    ( ~ tptptypes_8_390(ARG1,ARG2)
    | tptptypes_7_389(ARG1,ARG2) ),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_5,plain,
    ( ~ tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027) ),
    inference(subst,[],[refute_0_4:[bind(ARG1,$fot(c_pushingwithfingers)),bind(ARG2,$fot(c_tptpcol_15_4027))]]) ).

cnf(refute_0_6,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_7,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_8,plain,
    ( ~ genlmt(SPECMT,GENLMT)
    | ~ mtvisible(SPECMT)
    | mtvisible(GENLMT) ),
    inference(canonicalize,[],[normalize_0_9]) ).

cnf(refute_0_9,plain,
    ( ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
    | ~ mtvisible(c_tptp_spindleheadmt)
    | mtvisible(c_cyclistsmt) ),
    inference(subst,[],[refute_0_8:[bind(GENLMT,$fot(c_cyclistsmt)),bind(SPECMT,$fot(c_tptp_spindleheadmt))]]) ).

cnf(refute_0_10,plain,
    ( ~ mtvisible(c_tptp_spindleheadmt)
    | mtvisible(c_cyclistsmt) ),
    inference(resolve,[$cnf( genlmt(c_tptp_spindleheadmt,c_cyclistsmt) )],[refute_0_7,refute_0_9]) ).

cnf(refute_0_11,plain,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    inference(canonicalize,[],[normalize_0_10]) ).

cnf(refute_0_12,plain,
    ( ~ genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3205_mt)
    | mtvisible(c_tptp_spindleheadmt) ),
    inference(subst,[],[refute_0_8:[bind(GENLMT,$fot(c_tptp_spindleheadmt)),bind(SPECMT,$fot(c_tptp_member3205_mt))]]) ).

cnf(refute_0_13,plain,
    ( ~ mtvisible(c_tptp_member3205_mt)
    | mtvisible(c_tptp_spindleheadmt) ),
    inference(resolve,[$cnf( genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt) )],[refute_0_11,refute_0_12]) ).

cnf(refute_0_14,plain,
    mtvisible(c_tptp_member3205_mt),
    inference(canonicalize,[],[normalize_0_12]) ).

cnf(refute_0_15,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(resolve,[$cnf( mtvisible(c_tptp_member3205_mt) )],[refute_0_14,refute_0_13]) ).

cnf(refute_0_16,plain,
    mtvisible(c_cyclistsmt),
    inference(resolve,[$cnf( mtvisible(c_tptp_spindleheadmt) )],[refute_0_15,refute_0_10]) ).

cnf(refute_0_17,plain,
    tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027),
    inference(resolve,[$cnf( mtvisible(c_cyclistsmt) )],[refute_0_16,refute_0_6]) ).

cnf(refute_0_18,plain,
    tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027),
    inference(resolve,[$cnf( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) )],[refute_0_17,refute_0_5]) ).

cnf(refute_0_19,plain,
    tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers),
    inference(resolve,[$cnf( tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027) )],[refute_0_18,refute_0_3]) ).

cnf(refute_0_20,plain,
    tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers),
    inference(resolve,[$cnf( tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers) )],[refute_0_19,refute_0_1]) ).

cnf(refute_0_21,plain,
    ~ tptptypes_5_387(ARG1,c_pushingwithfingers),
    inference(canonicalize,[],[normalize_0_14]) ).

cnf(refute_0_22,plain,
    ~ tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers),
    inference(subst,[],[refute_0_21:[bind(ARG1,$fot(c_tptpcol_15_4027))]]) ).

cnf(refute_0_23,plain,
    $false,
    inference(resolve,[$cnf( tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers) )],[refute_0_20,refute_0_22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CSR062+3 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jun 10 01:48:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 12.09/12.25  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.09/12.25  
% 12.09/12.25  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.09/12.26  
%------------------------------------------------------------------------------