TSTP Solution File: CSR073+3 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : CSR073+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n027.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 21:57:32 EDT 2022

% Result   : Theorem 12.20s 12.39s
% Output   : CNFRefutation 12.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   40 (  12 unt;   0 def)
%            Number of atoms       :   68 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   50 (  22   ~;  16   |;   1   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   47 (   1 sgn  35   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax2_187,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_9_401(ARG1,ARG2)
     => tptptypes_8_400(ARG2,ARG1) ) ).

fof(ax2_224,axiom,
    tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_9612) ).

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

fof(ax2_1515,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_9_401(ARG1,ARG2)
     => tptptypes_8_400(ARG2,ARG1) ) ).

fof(ax2_2180,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_400(ARG1,ARG2)
     => tptptypes_7_396(ARG1,ARG2) ) ).

fof(ax2_2314,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_400(ARG1,ARG2)
     => tptptypes_7_396(ARG1,ARG2) ) ).

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

fof(ax2_3428,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_396(ARG1,ARG2)
     => tptptypes_6_388(ARG1,ARG2) ) ).

fof(ax2_3560,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_396(ARG1,ARG2)
     => tptptypes_6_388(ARG1,ARG2) ) ).

fof(query173,conjecture,
    ? [ARG1] :
      ( mtvisible(c_tptp_spindlecollectormt)
     => tptptypes_5_387(ARG1,c_pushingababycarriage) ) ).

fof(subgoal_0,plain,
    ? [ARG1] :
      ( mtvisible(c_tptp_spindlecollectormt)
     => tptptypes_5_387(ARG1,c_pushingababycarriage) ),
    inference(strip,[],[query173]) ).

fof(negate_0_0,plain,
    ~ ? [ARG1] :
        ( mtvisible(c_tptp_spindlecollectormt)
       => tptptypes_5_387(ARG1,c_pushingababycarriage) ),
    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,
    tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_9612),
    inference(canonicalize,[],[ax2_224]) ).

fof(normalize_0_3,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_9_401(ARG1,ARG2)
      | tptptypes_8_400(ARG2,ARG1) ),
    inference(canonicalize,[],[ax2_1515]) ).

fof(normalize_0_4,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_9_401(ARG1,ARG2)
      | tptptypes_8_400(ARG2,ARG1) ),
    inference(specialize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_8_400(ARG1,ARG2)
      | tptptypes_7_396(ARG1,ARG2) ),
    inference(canonicalize,[],[ax2_2314]) ).

fof(normalize_0_6,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_8_400(ARG1,ARG2)
      | tptptypes_7_396(ARG1,ARG2) ),
    inference(specialize,[],[normalize_0_5]) ).

fof(normalize_0_7,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_7_396(ARG1,ARG2)
      | tptptypes_6_388(ARG1,ARG2) ),
    inference(canonicalize,[],[ax2_3560]) ).

fof(normalize_0_8,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_7_396(ARG1,ARG2)
      | tptptypes_6_388(ARG1,ARG2) ),
    inference(specialize,[],[normalize_0_7]) ).

fof(normalize_0_9,plain,
    ( mtvisible(c_tptp_spindlecollectormt)
    & ! [ARG1] : ~ tptptypes_5_387(ARG1,c_pushingababycarriage) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_10,plain,
    ! [ARG1] : ~ tptptypes_5_387(ARG1,c_pushingababycarriage),
    inference(conjunct,[],[normalize_0_9]) ).

fof(normalize_0_11,plain,
    ! [ARG1] : ~ tptptypes_5_387(ARG1,c_pushingababycarriage),
    inference(specialize,[],[normalize_0_10]) ).

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_16_9612,c_pushingababycarriage)
    | tptptypes_5_387(c_tptpcol_16_9612,c_pushingababycarriage) ),
    inference(subst,[],[refute_0_0:[bind(ARG1,$fot(c_tptpcol_16_9612)),bind(ARG2,$fot(c_pushingababycarriage))]]) ).

cnf(refute_0_2,plain,
    tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_9612),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_3,plain,
    ( ~ tptptypes_9_401(ARG1,ARG2)
    | tptptypes_8_400(ARG2,ARG1) ),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_4,plain,
    ( ~ tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_9612)
    | tptptypes_8_400(c_tptpcol_16_9612,c_pushingababycarriage) ),
    inference(subst,[],[refute_0_3:[bind(ARG1,$fot(c_pushingababycarriage)),bind(ARG2,$fot(c_tptpcol_16_9612))]]) ).

cnf(refute_0_5,plain,
    tptptypes_8_400(c_tptpcol_16_9612,c_pushingababycarriage),
    inference(resolve,[$cnf( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_9612) )],[refute_0_2,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ tptptypes_8_400(ARG1,ARG2)
    | tptptypes_7_396(ARG1,ARG2) ),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_7,plain,
    ( ~ tptptypes_8_400(c_tptpcol_16_9612,c_pushingababycarriage)
    | tptptypes_7_396(c_tptpcol_16_9612,c_pushingababycarriage) ),
    inference(subst,[],[refute_0_6:[bind(ARG1,$fot(c_tptpcol_16_9612)),bind(ARG2,$fot(c_pushingababycarriage))]]) ).

cnf(refute_0_8,plain,
    tptptypes_7_396(c_tptpcol_16_9612,c_pushingababycarriage),
    inference(resolve,[$cnf( tptptypes_8_400(c_tptpcol_16_9612,c_pushingababycarriage) )],[refute_0_5,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ tptptypes_7_396(ARG1,ARG2)
    | tptptypes_6_388(ARG1,ARG2) ),
    inference(canonicalize,[],[normalize_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ tptptypes_7_396(c_tptpcol_16_9612,c_pushingababycarriage)
    | tptptypes_6_388(c_tptpcol_16_9612,c_pushingababycarriage) ),
    inference(subst,[],[refute_0_9:[bind(ARG1,$fot(c_tptpcol_16_9612)),bind(ARG2,$fot(c_pushingababycarriage))]]) ).

cnf(refute_0_11,plain,
    tptptypes_6_388(c_tptpcol_16_9612,c_pushingababycarriage),
    inference(resolve,[$cnf( tptptypes_7_396(c_tptpcol_16_9612,c_pushingababycarriage) )],[refute_0_8,refute_0_10]) ).

cnf(refute_0_12,plain,
    tptptypes_5_387(c_tptpcol_16_9612,c_pushingababycarriage),
    inference(resolve,[$cnf( tptptypes_6_388(c_tptpcol_16_9612,c_pushingababycarriage) )],[refute_0_11,refute_0_1]) ).

cnf(refute_0_13,plain,
    ~ tptptypes_5_387(ARG1,c_pushingababycarriage),
    inference(canonicalize,[],[normalize_0_11]) ).

cnf(refute_0_14,plain,
    ~ tptptypes_5_387(c_tptpcol_16_9612,c_pushingababycarriage),
    inference(subst,[],[refute_0_13:[bind(ARG1,$fot(c_tptpcol_16_9612))]]) ).

cnf(refute_0_15,plain,
    $false,
    inference(resolve,[$cnf( tptptypes_5_387(c_tptpcol_16_9612,c_pushingababycarriage) )],[refute_0_12,refute_0_14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR073+3 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jun 10 02:13:58 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 12.20/12.39  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.20/12.39  
% 12.20/12.39  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.20/12.40  
%------------------------------------------------------------------------------