TSTP Solution File: CSR070+1 by Metis---2.4

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%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : CSR070+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n022.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 21:57:28 EDT 2022

% Result   : Theorem 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   47 (  14 unt;   0 def)
%            Number of atoms       :   85 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   69 (  31   ~;  27   |;   2   &)
%                                         (   0 <=>;   9  =>;   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   :   40 (   0 sgn  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(just8,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_818(ARG1,ARG2)
     => tptptypes_5_802(ARG1,ARG2) ) ).

fof(just10,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_819(ARG1,ARG2)
     => tptptypes_6_818(ARG1,ARG2) ) ).

fof(just12,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_823(ARG1,ARG2)
     => tptptypes_7_819(ARG1,ARG2) ) ).

fof(just14,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_9_824(ARG1,ARG2)
     => tptptypes_8_823(ARG1,ARG2) ) ).

fof(just16,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt) ).

fof(just19,axiom,
    ( mtvisible(c_tptp_member2668_mt)
   => tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ) ).

fof(just57,axiom,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ) ).

fof(query70,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ) ).

fof(subgoal_0,plain,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(strip,[],[query70]) ).

fof(negate_0_0,plain,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_6_818(ARG1,ARG2)
      | tptptypes_5_802(ARG1,ARG2) ),
    inference(canonicalize,[],[just8]) ).

fof(normalize_0_1,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_6_818(ARG1,ARG2)
      | tptptypes_5_802(ARG1,ARG2) ),
    inference(specialize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_7_819(ARG1,ARG2)
      | tptptypes_6_818(ARG1,ARG2) ),
    inference(canonicalize,[],[just10]) ).

fof(normalize_0_3,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_7_819(ARG1,ARG2)
      | tptptypes_6_818(ARG1,ARG2) ),
    inference(specialize,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_8_823(ARG1,ARG2)
      | tptptypes_7_819(ARG1,ARG2) ),
    inference(canonicalize,[],[just12]) ).

fof(normalize_0_5,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_8_823(ARG1,ARG2)
      | tptptypes_7_819(ARG1,ARG2) ),
    inference(specialize,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_9_824(ARG1,ARG2)
      | tptptypes_8_823(ARG1,ARG2) ),
    inference(canonicalize,[],[just14]) ).

fof(normalize_0_7,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_9_824(ARG1,ARG2)
      | tptptypes_8_823(ARG1,ARG2) ),
    inference(specialize,[],[normalize_0_6]) ).

fof(normalize_0_8,plain,
    ( ~ mtvisible(c_tptp_member2668_mt)
    | tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(canonicalize,[],[just19]) ).

fof(normalize_0_9,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(canonicalize,[],[just16]) ).

fof(normalize_0_10,plain,
    ! [GENLMT,SPECMT] :
      ( ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT)
      | mtvisible(GENLMT) ),
    inference(canonicalize,[],[just57]) ).

fof(normalize_0_11,plain,
    ! [GENLMT,SPECMT] :
      ( ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT)
      | mtvisible(GENLMT) ),
    inference(specialize,[],[normalize_0_10]) ).

fof(normalize_0_12,plain,
    ( ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_13,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(conjunct,[],[normalize_0_12]) ).

fof(normalize_0_14,plain,
    ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(conjunct,[],[normalize_0_12]) ).

cnf(refute_0_0,plain,
    ( ~ tptptypes_6_818(ARG1,ARG2)
    | tptptypes_5_802(ARG1,ARG2) ),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    ( ~ tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(subst,[],[refute_0_0:[bind(ARG1,$fot(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible))),bind(ARG2,$fot(c_tptpcol_16_8886))]]) ).

cnf(refute_0_2,plain,
    ( ~ tptptypes_7_819(ARG1,ARG2)
    | tptptypes_6_818(ARG1,ARG2) ),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_3,plain,
    ( ~ tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(subst,[],[refute_0_2:[bind(ARG1,$fot(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible))),bind(ARG2,$fot(c_tptpcol_16_8886))]]) ).

cnf(refute_0_4,plain,
    ( ~ tptptypes_8_823(ARG1,ARG2)
    | tptptypes_7_819(ARG1,ARG2) ),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_5,plain,
    ( ~ tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(subst,[],[refute_0_4:[bind(ARG1,$fot(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible))),bind(ARG2,$fot(c_tptpcol_16_8886))]]) ).

cnf(refute_0_6,plain,
    ( ~ tptptypes_9_824(ARG1,ARG2)
    | tptptypes_8_823(ARG1,ARG2) ),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_7,plain,
    ( ~ tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(subst,[],[refute_0_6:[bind(ARG1,$fot(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible))),bind(ARG2,$fot(c_tptpcol_16_8886))]]) ).

cnf(refute_0_8,plain,
    ( ~ mtvisible(c_tptp_member2668_mt)
    | tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(canonicalize,[],[normalize_0_8]) ).

cnf(refute_0_9,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(canonicalize,[],[normalize_0_9]) ).

cnf(refute_0_10,plain,
    ( ~ genlmt(SPECMT,GENLMT)
    | ~ mtvisible(SPECMT)
    | mtvisible(GENLMT) ),
    inference(canonicalize,[],[normalize_0_11]) ).

cnf(refute_0_11,plain,
    ( ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt)
    | mtvisible(c_tptp_member2668_mt) ),
    inference(subst,[],[refute_0_10:[bind(GENLMT,$fot(c_tptp_member2668_mt)),bind(SPECMT,$fot(c_tptp_spindlecollectormt))]]) ).

cnf(refute_0_12,plain,
    ( ~ mtvisible(c_tptp_spindlecollectormt)
    | mtvisible(c_tptp_member2668_mt) ),
    inference(resolve,[$cnf( genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt) )],[refute_0_9,refute_0_11]) ).

cnf(refute_0_13,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(canonicalize,[],[normalize_0_13]) ).

cnf(refute_0_14,plain,
    mtvisible(c_tptp_member2668_mt),
    inference(resolve,[$cnf( mtvisible(c_tptp_spindlecollectormt) )],[refute_0_13,refute_0_12]) ).

cnf(refute_0_15,plain,
    tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolve,[$cnf( mtvisible(c_tptp_member2668_mt) )],[refute_0_14,refute_0_8]) ).

cnf(refute_0_16,plain,
    tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolve,[$cnf( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) )],[refute_0_15,refute_0_7]) ).

cnf(refute_0_17,plain,
    tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolve,[$cnf( tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) )],[refute_0_16,refute_0_5]) ).

cnf(refute_0_18,plain,
    tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolve,[$cnf( tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) )],[refute_0_17,refute_0_3]) ).

cnf(refute_0_19,plain,
    tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolve,[$cnf( tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) )],[refute_0_18,refute_0_1]) ).

cnf(refute_0_20,plain,
    ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(canonicalize,[],[normalize_0_14]) ).

cnf(refute_0_21,plain,
    $false,
    inference(resolve,[$cnf( tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) )],[refute_0_19,refute_0_20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CSR070+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 11 14:31:34 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.37  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  
% 0.13/0.37  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.38  
%------------------------------------------------------------------------------