TSTP Solution File: SWW900+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW900+1 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n005.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  : 300s
% DateTime : Mon Jun 24 18:47:00 EDT 2024

% Result   : Theorem 6.07s 1.31s
% Output   : Refutation 6.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   66 (  19 unt;   0 def)
%            Number of atoms       :  140 (  43 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  123 (  49   ~;  42   |;  19   &)
%                                         (   3 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;   9 con; 0-3 aty)
%            Number of variables   :  157 ( 145   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2704,plain,
    $false,
    inference(avatar_sat_refutation,[],[f233,f1768,f2406,f2703]) ).

fof(f2703,plain,
    ( ~ spl7_10
    | spl7_2 ),
    inference(avatar_split_clause,[],[f2702,f231,f1764]) ).

fof(f1764,plain,
    ( spl7_10
  <=> p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK3)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).

fof(f231,plain,
    ( spl7_2
  <=> p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK0,cfun__02(sK1,cbool__00)),sK5),s__02(c_27type_2elist_2elist_27__01(sK0),sK3),s__02(c_27type_2elist_2elist_27__01(sK1),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))),s__02(c_27type_2elist_2elist_27__01(sK1),sK4)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).

fof(f2702,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK3))))))
    | spl7_2 ),
    inference(forward_demodulation,[],[f2701,f581]) ).

fof(f581,plain,
    ! [X0,X1] : s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X1))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X0),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X0),s__02(c_27type_2enum_2enum_27__00,X1))))),
    inference(superposition,[],[f206,f181]) ).

fof(f181,plain,
    ! [X1] : s__02(c_27type_2enum_2enum_27__00,X1) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,X0))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,X0)))))
      & s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,X0))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,X1))),s__02(c_27type_2enum_2enum_27__00,X0)))
      & s__02(c_27type_2enum_2enum_27__00,X1) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)))
      & s__02(c_27type_2enum_2enum_27__00,X1) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X1))) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X14,X15] :
      ( s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,X14))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,X14)))))
      & s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,X15))),s__02(c_27type_2enum_2enum_27__00,X14))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,X14)))))
      & s__02(c_27type_2enum_2enum_27__00,X15) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)))
      & s__02(c_27type_2enum_2enum_27__00,X15) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X15))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f206,plain,
    ! [X2,X0,X1] : s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,X2))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X0),s__02(c_27type_2enum_2enum_27__00,X1))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X0),s__02(c_27type_2enum_2enum_27__00,X2))))),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2] : s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,X2))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X0),s__02(c_27type_2enum_2enum_27__00,X1))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X0),s__02(c_27type_2enum_2enum_27__00,X2))))),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X15,X14,X16] : s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X14),s__02(c_27type_2enum_2enum_27__00,X16))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,X14))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X15),s__02(c_27type_2enum_2enum_27__00,X16))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2701,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK3))))))))
    | spl7_2 ),
    inference(forward_demodulation,[],[f2700,f278]) ).

fof(f278,plain,
    s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK1),sK4))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK3))))),
    inference(forward_demodulation,[],[f275,f207]) ).

fof(f207,plain,
    ! [X2,X0,X1] : s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),X1),s__02(c_27type_2elist_2elist_27__01(X0),X2))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X1))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X2))))),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1,X2] : s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),X1),s__02(c_27type_2elist_2elist_27__01(X0),X2))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X1))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X2))))),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X6,X17,X18] : s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X6),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X6),X17),s__02(c_27type_2elist_2elist_27__01(X6),X18))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X6),X17))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X6),X18))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f275,plain,
    s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(sK0),sK2),s__02(c_27type_2elist_2elist_27__01(sK0),sK3))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK1),sK4))),
    inference(resolution,[],[f223,f100]) ).

fof(f100,plain,
    p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK0,cfun__02(sK1,cbool__00)),sK5),s__02(c_27type_2elist_2elist_27__01(sK0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(sK0),sK2),s__02(c_27type_2elist_2elist_27__01(sK0),sK3))),s__02(c_27type_2elist_2elist_27__01(sK1),sK4)))),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ( ( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK0,cfun__02(sK1,cbool__00)),sK5),s__02(c_27type_2elist_2elist_27__01(sK0),sK3),s__02(c_27type_2elist_2elist_27__01(sK1),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))),s__02(c_27type_2elist_2elist_27__01(sK1),sK4))))))
      | ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK0,cfun__02(sK1,cbool__00)),sK5),s__02(c_27type_2elist_2elist_27__01(sK0),sK2),s__02(c_27type_2elist_2elist_27__01(sK1),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))),s__02(c_27type_2elist_2elist_27__01(sK1),sK4)))))) )
    & p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK0,cfun__02(sK1,cbool__00)),sK5),s__02(c_27type_2elist_2elist_27__01(sK0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(sK0),sK2),s__02(c_27type_2elist_2elist_27__01(sK0),sK3))),s__02(c_27type_2elist_2elist_27__01(sK1),sK4)))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f60,f73]) ).

fof(f73,plain,
    ( ? [X0,X1,X2,X3,X4,X5] :
        ( ( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X2))),s__02(c_27type_2elist_2elist_27__01(X1),X4))))))
          | ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X0),X2),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X2))),s__02(c_27type_2elist_2elist_27__01(X1),X4)))))) )
        & p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),X2),s__02(c_27type_2elist_2elist_27__01(X0),X3))),s__02(c_27type_2elist_2elist_27__01(X1),X4)))) )
   => ( ( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK0,cfun__02(sK1,cbool__00)),sK5),s__02(c_27type_2elist_2elist_27__01(sK0),sK3),s__02(c_27type_2elist_2elist_27__01(sK1),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))),s__02(c_27type_2elist_2elist_27__01(sK1),sK4))))))
        | ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK0,cfun__02(sK1,cbool__00)),sK5),s__02(c_27type_2elist_2elist_27__01(sK0),sK2),s__02(c_27type_2elist_2elist_27__01(sK1),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))),s__02(c_27type_2elist_2elist_27__01(sK1),sK4)))))) )
      & p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK0,cfun__02(sK1,cbool__00)),sK5),s__02(c_27type_2elist_2elist_27__01(sK0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(sK0),sK2),s__02(c_27type_2elist_2elist_27__01(sK0),sK3))),s__02(c_27type_2elist_2elist_27__01(sK1),sK4)))) ) ),
    introduced(choice_axiom,[]) ).

fof(f60,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X2))),s__02(c_27type_2elist_2elist_27__01(X1),X4))))))
        | ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X0),X2),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X2))),s__02(c_27type_2elist_2elist_27__01(X1),X4)))))) )
      & p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),X2),s__02(c_27type_2elist_2elist_27__01(X0),X3))),s__02(c_27type_2elist_2elist_27__01(X1),X4)))) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ~ ! [X0,X1,X2,X3,X4,X5] :
        ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),X2),s__02(c_27type_2elist_2elist_27__01(X0),X3))),s__02(c_27type_2elist_2elist_27__01(X1),X4))))
       => ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X2))),s__02(c_27type_2elist_2elist_27__01(X1),X4))))))
          & p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X0),X2),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X2))),s__02(c_27type_2elist_2elist_27__01(X1),X4)))))) ) ),
    inference(rectify,[],[f32]) ).

fof(f32,negated_conjecture,
    ~ ! [X6,X19,X28,X17,X18,X20] :
        ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X6,cfun__02(X19,cbool__00)),X20),s__02(c_27type_2elist_2elist_27__01(X6),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X6),X28),s__02(c_27type_2elist_2elist_27__01(X6),X17))),s__02(c_27type_2elist_2elist_27__01(X19),X18))))
       => ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X6,cfun__02(X19,cbool__00)),X20),s__02(c_27type_2elist_2elist_27__01(X6),X17),s__02(c_27type_2elist_2elist_27__01(X19),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X6),X28))),s__02(c_27type_2elist_2elist_27__01(X19),X18))))))
          & p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X6,cfun__02(X19,cbool__00)),X20),s__02(c_27type_2elist_2elist_27__01(X6),X28),s__02(c_27type_2elist_2elist_27__01(X19),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X6),X28))),s__02(c_27type_2elist_2elist_27__01(X19),X18)))))) ) ),
    inference(negated_conjecture,[],[f31]) ).

fof(f31,conjecture,
    ! [X6,X19,X28,X17,X18,X20] :
      ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X6,cfun__02(X19,cbool__00)),X20),s__02(c_27type_2elist_2elist_27__01(X6),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X6),X28),s__02(c_27type_2elist_2elist_27__01(X6),X17))),s__02(c_27type_2elist_2elist_27__01(X19),X18))))
     => ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X6,cfun__02(X19,cbool__00)),X20),s__02(c_27type_2elist_2elist_27__01(X6),X17),s__02(c_27type_2elist_2elist_27__01(X19),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X6),X28))),s__02(c_27type_2elist_2elist_27__01(X19),X18))))))
        & p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X6,cfun__02(X19,cbool__00)),X20),s__02(c_27type_2elist_2elist_27__01(X6),X28),s__02(c_27type_2elist_2elist_27__01(X19),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X6),X28))),s__02(c_27type_2elist_2elist_27__01(X19),X18)))))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f223,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4))))
      | s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X3))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4))) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1,X2,X3,X4] :
      ( s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X3))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4)))
      | ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4)))) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1,X2,X3,X4] :
      ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4))))
     => s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X3))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4))) ),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X6,X19,X20,X8,X21] :
      ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X6,cfun__02(X19,cbool__00)),X20),s__02(c_27type_2elist_2elist_27__01(X6),X8),s__02(c_27type_2elist_2elist_27__01(X19),X21))))
     => s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X6),X8))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X19),X21))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2700,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK1),sK4))))))
    | spl7_2 ),
    inference(trivial_inequality_removal,[],[f2699]) ).

fof(f2699,plain,
    ( s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2)))
    | ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK1),sK4))))))
    | spl7_2 ),
    inference(superposition,[],[f1864,f208]) ).

fof(f208,plain,
    ! [X2,X0,X1] :
      ( s__02(c_27type_2enum_2enum_27__00,X1) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(X0),X2)))))
      | ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X2)))))) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( s__02(c_27type_2enum_2enum_27__00,X1) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(X0),X2)))))
      | ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X2)))))) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1,X2] :
      ( p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X2))))))
     => s__02(c_27type_2enum_2enum_27__00,X1) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(X0),X2))))) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X6,X14,X22] :
      ( p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X14),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X6),X22))))))
     => s__02(c_27type_2enum_2enum_27__00,X14) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X6),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X14),s__02(c_27type_2elist_2elist_27__01(X6),X22))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1864,plain,
    ( s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK1),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))),s__02(c_27type_2elist_2elist_27__01(sK1),sK4)))))
    | spl7_2 ),
    inference(resolution,[],[f232,f984]) ).

fof(f984,plain,
    ! [X0] :
      ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK0,cfun__02(sK1,cbool__00)),sK5),s__02(c_27type_2elist_2elist_27__01(sK0),sK3),s__02(c_27type_2elist_2elist_27__01(sK1),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,X0),s__02(c_27type_2elist_2elist_27__01(sK1),sK4))))))
      | s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK1),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X0),s__02(c_27type_2elist_2elist_27__01(sK1),sK4))))) ),
    inference(resolution,[],[f294,f100]) ).

fof(f294,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X3,cfun__02(X0,cbool__00)),X4),s__02(c_27type_2elist_2elist_27__01(X3),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X3),X5),s__02(c_27type_2elist_2elist_27__01(X3),X6))),s__02(c_27type_2elist_2elist_27__01(X0),X2))))
      | s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(X0),X2))))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X3),X5)))
      | p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X3,cfun__02(X0,cbool__00)),X4),s__02(c_27type_2elist_2elist_27__01(X3),X6),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(X0),X2)))))) ),
    inference(superposition,[],[f225,f205]) ).

fof(f205,plain,
    ! [X2,X0,X1] : s__02(c_27type_2elist_2elist_27__01(X0),X2) = s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(X0),X2))),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(X0),X2))))),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1,X2] : s__02(c_27type_2elist_2elist_27__01(X0),X2) = s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(X0),X2))),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(X0),X2))))),
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ! [X6,X14,X22] : s__02(c_27type_2elist_2elist_27__01(X6),X22) = s__02(c_27type_2elist_2elist_27__01(X6),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X6),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X14),s__02(c_27type_2elist_2elist_27__01(X6),X22))),s__02(c_27type_2elist_2elist_27__01(X6),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,X14),s__02(c_27type_2elist_2elist_27__01(X6),X22))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f225,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X0),X5))),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),X4),s__02(c_27type_2elist_2elist_27__01(X1),X6))))))
      | s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X3))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4)))
      | p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X5),s__02(c_27type_2elist_2elist_27__01(X1),X6)))) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X5),s__02(c_27type_2elist_2elist_27__01(X1),X6))))
        & p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4)))) )
      | s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X3))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4)))
      | ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X0),X5))),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),X4),s__02(c_27type_2elist_2elist_27__01(X1),X6)))))) ),
    inference(flattening,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X5),s__02(c_27type_2elist_2elist_27__01(X1),X6))))
        & p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4)))) )
      | s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X3))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4)))
      | ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X0),X5))),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),X4),s__02(c_27type_2elist_2elist_27__01(X1),X6)))))) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X3))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4)))
        & p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X0),X5))),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),X4),s__02(c_27type_2elist_2elist_27__01(X1),X6)))))) )
     => ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X5),s__02(c_27type_2elist_2elist_27__01(X1),X6))))
        & p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4)))) ) ),
    inference(rectify,[],[f30]) ).

fof(f30,axiom,
    ! [X6,X19,X23,X24,X25,X26,X27] :
      ( ( s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X6),X24))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X19),X25)))
        & p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X6,cfun__02(X19,cbool__00)),X23),s__02(c_27type_2elist_2elist_27__01(X6),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X6),X24),s__02(c_27type_2elist_2elist_27__01(X6),X26))),s__02(c_27type_2elist_2elist_27__01(X19),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X19),X25),s__02(c_27type_2elist_2elist_27__01(X19),X27)))))) )
     => ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X6,cfun__02(X19,cbool__00)),X23),s__02(c_27type_2elist_2elist_27__01(X6),X26),s__02(c_27type_2elist_2elist_27__01(X19),X27))))
        & p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X6,cfun__02(X19,cbool__00)),X23),s__02(c_27type_2elist_2elist_27__01(X6),X24),s__02(c_27type_2elist_2elist_27__01(X19),X25)))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f232,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK0,cfun__02(sK1,cbool__00)),sK5),s__02(c_27type_2elist_2elist_27__01(sK0),sK3),s__02(c_27type_2elist_2elist_27__01(sK1),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))),s__02(c_27type_2elist_2elist_27__01(sK1),sK4))))))
    | spl7_2 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f2406,plain,
    spl7_10,
    inference(avatar_contradiction_clause,[],[f2400]) ).

fof(f2400,plain,
    ( $false
    | spl7_10 ),
    inference(resolution,[],[f1765,f151]) ).

fof(f151,plain,
    ! [X0] : p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X0)))),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0] : p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X0)))),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X14] : p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X14)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1765,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK3))))))
    | spl7_10 ),
    inference(avatar_component_clause,[],[f1764]) ).

fof(f1768,plain,
    ( ~ spl7_10
    | spl7_1 ),
    inference(avatar_split_clause,[],[f1659,f228,f1764]) ).

fof(f228,plain,
    ( spl7_1
  <=> p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK0,cfun__02(sK1,cbool__00)),sK5),s__02(c_27type_2elist_2elist_27__01(sK0),sK2),s__02(c_27type_2elist_2elist_27__01(sK1),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))),s__02(c_27type_2elist_2elist_27__01(sK1),sK4)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

fof(f1659,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK3))))))
    | spl7_1 ),
    inference(backward_demodulation,[],[f1428,f581]) ).

fof(f1428,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK3))))))))
    | spl7_1 ),
    inference(forward_demodulation,[],[f1427,f278]) ).

fof(f1427,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK1),sK4))))))
    | spl7_1 ),
    inference(trivial_inequality_removal,[],[f1426]) ).

fof(f1426,plain,
    ( s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2)))
    | ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK1),sK4))))))
    | spl7_1 ),
    inference(superposition,[],[f1423,f208]) ).

fof(f1423,plain,
    ( s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK1),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))),s__02(c_27type_2elist_2elist_27__01(sK1),sK4)))))
    | spl7_1 ),
    inference(resolution,[],[f229,f864]) ).

fof(f864,plain,
    ! [X0] :
      ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK0,cfun__02(sK1,cbool__00)),sK5),s__02(c_27type_2elist_2elist_27__01(sK0),sK2),s__02(c_27type_2elist_2elist_27__01(sK1),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X0),s__02(c_27type_2elist_2elist_27__01(sK1),sK4))))))
      | s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK1),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X0),s__02(c_27type_2elist_2elist_27__01(sK1),sK4))))) ),
    inference(resolution,[],[f288,f100]) ).

fof(f288,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X3,cfun__02(X0,cbool__00)),X4),s__02(c_27type_2elist_2elist_27__01(X3),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X3),X5),s__02(c_27type_2elist_2elist_27__01(X3),X6))),s__02(c_27type_2elist_2elist_27__01(X0),X2))))
      | s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(X0),X2))))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X3),X5)))
      | p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X3,cfun__02(X0,cbool__00)),X4),s__02(c_27type_2elist_2elist_27__01(X3),X5),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(X0),X2)))))) ),
    inference(superposition,[],[f224,f205]) ).

fof(f224,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X0),X5))),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),X4),s__02(c_27type_2elist_2elist_27__01(X1),X6))))))
      | s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X0),X3))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4)))
      | p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X0,cfun__02(X1,cbool__00)),X2),s__02(c_27type_2elist_2elist_27__01(X0),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4)))) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f229,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK0,cfun__02(sK1,cbool__00)),sK5),s__02(c_27type_2elist_2elist_27__01(sK0),sK2),s__02(c_27type_2elist_2elist_27__01(sK1),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))),s__02(c_27type_2elist_2elist_27__01(sK1),sK4))))))
    | spl7_1 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f233,plain,
    ( ~ spl7_1
    | ~ spl7_2 ),
    inference(avatar_split_clause,[],[f101,f231,f228]) ).

fof(f101,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK0,cfun__02(sK1,cbool__00)),sK5),s__02(c_27type_2elist_2elist_27__01(sK0),sK3),s__02(c_27type_2elist_2elist_27__01(sK1),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))),s__02(c_27type_2elist_2elist_27__01(sK1),sK4))))))
    | ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(sK0,cfun__02(sK1,cbool__00)),sK5),s__02(c_27type_2elist_2elist_27__01(sK0),sK2),s__02(c_27type_2elist_2elist_27__01(sK1),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(sK0),sK2))),s__02(c_27type_2elist_2elist_27__01(sK1),sK4)))))) ),
    inference(cnf_transformation,[],[f74]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWW900+1 : TPTP v8.2.0. Released v7.3.0.
% 0.07/0.12  % Command    : run_vampire %s %d THM
% 0.13/0.34  % Computer : n005.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    : 300
% 0.13/0.34  % DateTime   : Wed Jun 19 07:13:24 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.36  Running first-order theorem proving
% 0.13/0.36  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.44  % (32253)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (32257)dis+1011_1:1_to=lpo:sil=4000:sp=const_max:sos=all:spb=goal:st=1.5:i=103:av=off:ss=axioms:sfv=off:bd=off:sd=2:fd=off_0 on theBenchmark for (2999ds/103Mi)
% 0.22/0.45  % (32253)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45  % (32254)lrs-1011_16:31_bsr=on:drc=encompass:tgt=full:sp=unary_first:acc=on:updr=off:nicw=on:i=134284:sil=256000:si=on:rtra=on:to=lpo:spb=goal_then_units:nwc=5.23:urr=on:lwlo=on:fdi=20:fsd=on:awrs=decay_0 on theBenchmark for (2999ds/134284Mi)
% 0.22/0.45  % (32253)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45  % (32259)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=107:bd=off:av=off_0 on theBenchmark for (2999ds/107Mi)
% 0.22/0.45  % (32253)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45  % (32258)dis-1002_1:2_sil=4000:i=110:nm=2:ins=3:bd=off:fsr=off:rp=on:to=lpo:nwc=5.0:fd=off:sfv=off:fs=off_0 on theBenchmark for (2999ds/110Mi)
% 0.22/0.45  % (32253)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45  % (32255)ott+1011_1:3_drc=encompass:sil=256000:bsd=on:sp=occurrence:sos=on:newcnf=on:i=214065:afp=1:aac=none:amm=off:afq=3.64962_0 on theBenchmark for (2999ds/214065Mi)
% 0.22/0.45  % (32253)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45  % (32260)lrs-1011_4:7_sil=2000:tgt=full:bsd=on:spb=goal:nwc=5.0:updr=off:newcnf=on:i=121:kws=arity_squared:rawr=on:bsdmm=2_0 on theBenchmark for (2999ds/121Mi)
% 0.22/0.45  % (32253)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45  % (32256)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=231451:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/231451Mi)
% 0.22/0.50  % (32257)Instruction limit reached!
% 0.22/0.50  % (32257)------------------------------
% 0.22/0.50  % (32257)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.50  % (32257)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.50  % (32257)Termination reason: Time limit
% 0.22/0.50  % (32257)Termination phase: Saturation
% 0.22/0.50  
% 0.22/0.50  % (32257)Memory used [KB]: 1723
% 0.22/0.50  % (32257)Time elapsed: 0.053 s
% 0.22/0.50  % (32257)Instructions burned: 104 (million)
% 0.22/0.50  % (32259)Instruction limit reached!
% 0.22/0.50  % (32259)------------------------------
% 0.22/0.50  % (32259)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.50  % (32259)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.50  % (32259)Termination reason: Time limit
% 0.22/0.50  % (32259)Termination phase: Saturation
% 0.22/0.50  
% 0.22/0.50  % (32259)Memory used [KB]: 2180
% 0.22/0.50  % (32259)Time elapsed: 0.051 s
% 0.22/0.50  % (32259)Instructions burned: 109 (million)
% 0.22/0.51  % (32258)Instruction limit reached!
% 0.22/0.51  % (32258)------------------------------
% 0.22/0.51  % (32258)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.51  % (32258)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.51  % (32258)Termination reason: Time limit
% 0.22/0.51  % (32258)Termination phase: Saturation
% 0.22/0.51  
% 0.22/0.51  % (32258)Memory used [KB]: 3436
% 0.22/0.51  % (32258)Time elapsed: 0.059 s
% 0.22/0.51  % (32258)Instructions burned: 111 (million)
% 0.22/0.52  % (32260)Instruction limit reached!
% 0.22/0.52  % (32260)------------------------------
% 0.22/0.52  % (32260)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.52  % (32260)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.52  % (32260)Termination reason: Time limit
% 0.22/0.52  % (32260)Termination phase: Saturation
% 0.22/0.52  
% 0.22/0.52  % (32260)Memory used [KB]: 2052
% 0.22/0.52  % (32260)Time elapsed: 0.067 s
% 0.22/0.52  % (32260)Instructions burned: 122 (million)
% 0.22/0.56  % (32253)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.56  % (32268)lrs-21_1:1_sil=4000:sos=on:lcm=predicate:i=107:sd=2:ss=axioms_0 on theBenchmark for (2998ds/107Mi)
% 0.22/0.56  % (32253)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.56  % (32269)lrs+1011_1166409:524288_bsr=unit_only:to=lpo:drc=off:sil=2000:fde=unused:avsql=on:etr=on:sp=occurrence:spb=goal_then_units:lsd=50:rp=on:nwc=6.05391:avsqc=5:sac=on:newcnf=on:avsq=on:i=132:bs=unit_only:afp=300:aac=none:avsqr=13677,1048576:nm=0:ins=3:fsr=off:fsd=on:afq=4.16901:uhcvi=on:afr=on:rawr=on:fsdmm=3:gsp=on_0 on theBenchmark for (2998ds/132Mi)
% 0.22/0.57  % (32253)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.57  % (32270)dis-1010_1:12_sil=2000:sims=off:bce=on:nwc=2.0:newcnf=on:s2a=on:i=150:s2at=2.0:bd=off:fsr=off:irw=on:alpa=false:rawr=on:sp=occurrence_0 on theBenchmark for (2998ds/150Mi)
% 0.22/0.59  % (32253)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.59  % (32271)dis+10_52093:131072_drc=off:sil=2000:tgt=ground:irw=on:foolp=on:lma=on:urr=ec_only:nwc=5.20774:st=1.5:i=124:sd=2:kws=inv_frequency:nm=7:ins=3:av=off:uhcvi=on:ss=axioms:rawr=on_0 on theBenchmark for (2998ds/124Mi)
% 1.76/0.61  % (32269)Instruction limit reached!
% 1.76/0.61  % (32269)------------------------------
% 1.76/0.61  % (32269)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.76/0.61  % (32269)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.76/0.61  % (32269)Termination reason: Time limit
% 1.76/0.61  % (32269)Termination phase: Saturation
% 1.76/0.61  
% 1.76/0.61  % (32269)Memory used [KB]: 2691
% 1.76/0.61  % (32269)Time elapsed: 0.046 s
% 1.76/0.61  % (32269)Instructions burned: 133 (million)
% 1.76/0.61  % (32268)Instruction limit reached!
% 1.76/0.61  % (32268)------------------------------
% 1.76/0.61  % (32268)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.76/0.61  % (32268)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.76/0.61  % (32268)Termination reason: Time limit
% 1.76/0.61  % (32268)Termination phase: Saturation
% 1.76/0.61  
% 1.76/0.61  % (32268)Memory used [KB]: 2176
% 1.76/0.61  % (32268)Time elapsed: 0.056 s
% 1.76/0.61  % (32268)Instructions burned: 107 (million)
% 1.89/0.63  % (32270)Instruction limit reached!
% 1.89/0.63  % (32270)------------------------------
% 1.89/0.63  % (32270)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.89/0.63  % (32270)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.89/0.63  % (32270)Termination reason: Time limit
% 1.89/0.63  % (32270)Termination phase: Saturation
% 1.89/0.63  
% 1.89/0.63  % (32270)Memory used [KB]: 2410
% 1.89/0.63  % (32270)Time elapsed: 0.062 s
% 1.89/0.63  % (32270)Instructions burned: 150 (million)
% 1.95/0.65  % (32271)Instruction limit reached!
% 1.95/0.65  % (32271)------------------------------
% 1.95/0.65  % (32271)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.95/0.65  % (32271)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.95/0.65  % (32271)Termination reason: Time limit
% 1.95/0.65  % (32271)Termination phase: Saturation
% 1.95/0.65  
% 1.95/0.65  % (32271)Memory used [KB]: 2578
% 1.95/0.65  % (32271)Time elapsed: 0.066 s
% 1.95/0.65  % (32271)Instructions burned: 124 (million)
% 1.95/0.66  % (32253)Running in auto input_syntax mode. Trying TPTP
% 1.95/0.66  % (32276)dis+1011_3:7_to=lpo:sos=on:spb=goal_then_units:abs=on:lsd=20:st=1.5:i=113:sd=2:aac=none:awrs=decay:bd=off:ss=axioms:sgt=32:flr=on:sil=256000:nm=26_0 on theBenchmark for (2997ds/113Mi)
% 1.95/0.67  % (32253)Running in auto input_syntax mode. Trying TPTP
% 1.95/0.67  % (32275)lrs+11_1:1024_sil=2000:spb=units:rp=on:updr=off:st=6.0:i=109:sd=3:ss=axioms:sac=on:ep=R_0 on theBenchmark for (2997ds/109Mi)
% 1.95/0.69  % (32253)Running in auto input_syntax mode. Trying TPTP
% 1.95/0.69  % (32278)dis+1002_1:1_sil=2000:tgt=full:spb=goal:avsq=on:i=173:avsqr=19,107:er=known:rawr=on:nwc=3.7:cond=fast:abs=on_0 on theBenchmark for (2997ds/173Mi)
% 1.95/0.70  % (32253)Running in auto input_syntax mode. Trying TPTP
% 1.95/0.70  % (32279)lrs+1011_1:128_sil=2000:sos=on:st=3.0:i=114:sd=5:bd=off:ss=axioms:av=off_0 on theBenchmark for (2997ds/114Mi)
% 1.95/0.71  % (32276)Instruction limit reached!
% 1.95/0.71  % (32276)------------------------------
% 1.95/0.71  % (32276)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.95/0.71  % (32276)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.95/0.71  % (32276)Termination reason: Time limit
% 1.95/0.71  % (32276)Termination phase: Saturation
% 1.95/0.71  
% 1.95/0.71  % (32276)Memory used [KB]: 1992
% 1.95/0.71  % (32276)Time elapsed: 0.048 s
% 1.95/0.71  % (32276)Instructions burned: 113 (million)
% 2.27/0.72  % (32275)Instruction limit reached!
% 2.27/0.72  % (32275)------------------------------
% 2.27/0.72  % (32275)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.27/0.72  % (32275)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.27/0.72  % (32275)Termination reason: Time limit
% 2.27/0.72  % (32275)Termination phase: Saturation
% 2.27/0.72  
% 2.27/0.72  % (32275)Memory used [KB]: 2239
% 2.27/0.72  % (32275)Time elapsed: 0.057 s
% 2.27/0.72  % (32275)Instructions burned: 110 (million)
% 2.27/0.75  % (32279)Instruction limit reached!
% 2.27/0.75  % (32279)------------------------------
% 2.27/0.75  % (32279)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.27/0.75  % (32279)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.27/0.75  % (32279)Termination reason: Time limit
% 2.27/0.75  % (32279)Termination phase: Saturation
% 2.27/0.75  
% 2.27/0.75  % (32279)Memory used [KB]: 2608
% 2.27/0.75  % (32279)Time elapsed: 0.057 s
% 2.27/0.75  % (32279)Instructions burned: 114 (million)
% 2.27/0.76  % (32253)Running in auto input_syntax mode. Trying TPTP
% 2.27/0.76  % (32283)lrs+1011_649:65536_drc=encompass:sil=2000:tgt=ground:plsqc=1:plsq=on:plsqr=8,111:sp=reverse_frequency:plsql=on:newcnf=on:i=1659:afp=50:fsr=off:afq=3.63765:afr=on:ss=axioms:sgt=16:bd=off:cond=on_0 on theBenchmark for (2996ds/1659Mi)
% 2.27/0.77  % (32253)Running in auto input_syntax mode. Trying TPTP
% 2.27/0.77  % (32281)lrs+1011_1:1_sil=16000:fde=unused:plsqc=1:plsq=on:plsqr=32,1:sos=on:nwc=10.0:i=143:kws=frequency:nm=2:lsd=1:bd=off_0 on theBenchmark for (2996ds/143Mi)
% 2.69/0.78  % (32278)Instruction limit reached!
% 2.69/0.78  % (32278)------------------------------
% 2.69/0.78  % (32278)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.69/0.78  % (32278)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.69/0.78  % (32278)Termination reason: Time limit
% 2.69/0.78  % (32278)Termination phase: Saturation
% 2.69/0.78  
% 2.69/0.78  % (32278)Memory used [KB]: 2737
% 2.69/0.78  % (32278)Time elapsed: 0.096 s
% 2.69/0.78  % (32278)Instructions burned: 173 (million)
% 2.69/0.81  % (32253)Running in auto input_syntax mode. Trying TPTP
% 2.69/0.81  % (32284)dis-1011_1:3_nwc=10.0:s2agt=8:s2a=on:i=145:bs=on:av=off:sp=occurrence:sil=2000:si=on:rtra=on:random_seed=2126866997:updr=off:bd=off_0 on theBenchmark for (2996ds/145Mi)
% 2.69/0.83  % (32281)Instruction limit reached!
% 2.69/0.83  % (32281)------------------------------
% 2.69/0.83  % (32281)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.69/0.83  % (32281)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.69/0.83  % (32281)Termination reason: Time limit
% 2.69/0.83  % (32281)Termination phase: Saturation
% 2.69/0.83  
% 2.69/0.83  % (32281)Memory used [KB]: 2489
% 2.69/0.83  % (32281)Time elapsed: 0.067 s
% 2.69/0.83  % (32281)Instructions burned: 143 (million)
% 2.69/0.84  % (32253)Running in auto input_syntax mode. Trying TPTP
% 2.69/0.84  % (32285)dis+1011_543:505_drc=encompass:sil=128000:tgt=full:etr=on:sp=frequency:nwc=4.8:avsqc=4:sac=on:avsq=on:st=7.0:i=151:kws=precedence:avsqr=2669309,1048576:awrs=converge:awrsf=975:bd=off:nm=16:ss=axioms:rawr=on:bsd=on:add=large_0 on theBenchmark for (2995ds/151Mi)
% 3.23/0.88  % (32284)Instruction limit reached!
% 3.23/0.88  % (32284)------------------------------
% 3.23/0.88  % (32284)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.23/0.88  % (32284)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.23/0.88  % (32284)Termination reason: Time limit
% 3.23/0.88  % (32284)Termination phase: Saturation
% 3.23/0.88  
% 3.23/0.88  % (32284)Memory used [KB]: 2672
% 3.23/0.88  % (32284)Time elapsed: 0.066 s
% 3.23/0.88  % (32284)Instructions burned: 147 (million)
% 3.44/0.89  % (32253)Running in auto input_syntax mode. Trying TPTP
% 3.44/0.89  % (32288)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=224:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/224Mi)
% 3.44/0.90  % (32285)Instruction limit reached!
% 3.44/0.90  % (32285)------------------------------
% 3.44/0.90  % (32285)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.44/0.90  % (32285)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.44/0.90  % (32285)Termination reason: Time limit
% 3.44/0.90  % (32285)Termination phase: Saturation
% 3.44/0.90  
% 3.44/0.90  % (32285)Memory used [KB]: 2857
% 3.44/0.90  % (32285)Time elapsed: 0.070 s
% 3.44/0.90  % (32285)Instructions burned: 152 (million)
% 3.67/0.93  % (32253)Running in auto input_syntax mode. Trying TPTP
% 3.67/0.93  % (32290)lrs+1002_1:1_sfv=off:drc=encompass:sil=2000:fde=unused:sp=frequency:nwc=10.0:flr=on:st=1.5:i=226:bd=off:nm=0:ins=4:fsr=off:fsd=on:ss=axioms:s2a=on:s2agt=32:to=lpo:aac=none:sims=off_0 on theBenchmark for (2995ds/226Mi)
% 3.72/0.97  % (32253)Running in auto input_syntax mode. Trying TPTP
% 3.72/0.97  % (32291)lrs+1010_1:4_sil=2000:tgt=ground:sp=reverse_frequency:nwc=5.0:i=206:av=off:bd=off:kmz=on_0 on theBenchmark for (2994ds/206Mi)
% 3.72/0.99  % (32288)Instruction limit reached!
% 3.72/0.99  % (32288)------------------------------
% 3.72/0.99  % (32288)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.72/0.99  % (32288)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.72/0.99  % (32288)Termination reason: Time limit
% 3.72/0.99  % (32288)Termination phase: Saturation
% 3.72/0.99  
% 3.72/0.99  % (32288)Memory used [KB]: 2344
% 3.72/0.99  % (32288)Time elapsed: 0.104 s
% 3.72/0.99  % (32288)Instructions burned: 225 (million)
% 4.09/1.03  % (32290)Instruction limit reached!
% 4.09/1.03  % (32290)------------------------------
% 4.09/1.03  % (32290)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.09/1.03  % (32290)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.09/1.03  % (32290)Termination reason: Time limit
% 4.09/1.03  % (32290)Termination phase: Saturation
% 4.09/1.03  
% 4.09/1.03  % (32290)Memory used [KB]: 1918
% 4.09/1.03  % (32290)Time elapsed: 0.101 s
% 4.09/1.03  % (32290)Instructions burned: 226 (million)
% 4.09/1.05  % (32253)Running in auto input_syntax mode. Trying TPTP
% 4.09/1.05  % (32292)dis+1011_1:4_bsr=on:to=lpo:sil=2000:tgt=ground:plsqc=1:plsq=on:plsqr=4477983,65536:sp=frequency:erd=off:spb=goal:nwc=2.0:sac=on:newcnf=on:cond=fast:st=5.0:i=251:nm=16:ss=axioms:rawr=on:lsd=100:awrs=converge_0 on theBenchmark for (2993ds/251Mi)
% 4.09/1.06  % (32291)Instruction limit reached!
% 4.09/1.06  % (32291)------------------------------
% 4.09/1.06  % (32291)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.09/1.06  % (32291)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.09/1.06  % (32291)Termination reason: Time limit
% 4.09/1.06  % (32291)Termination phase: Saturation
% 4.09/1.06  
% 4.09/1.06  % (32291)Memory used [KB]: 2016
% 4.09/1.06  % (32291)Time elapsed: 0.095 s
% 4.09/1.06  % (32291)Instructions burned: 208 (million)
% 4.59/1.08  % (32253)Running in auto input_syntax mode. Trying TPTP
% 4.59/1.08  % (32293)lrs-1011_1:1_to=lpo:drc=off:sil=2000:sp=const_min:sos=on:lsd=10:sac=on:i=271:br=off:newcnf=on_0 on theBenchmark for (2993ds/271Mi)
% 4.59/1.11  % (32253)Running in auto input_syntax mode. Trying TPTP
% 4.59/1.11  % (32294)lrs+1011_8:13_slsqr=96,997:drc=off:sil=64000:sp=const_max:spb=goal_then_units:rnwc=on:nwc=5.0:slsq=on:cond=on:i=285:kws=precedence:rawr=on:fd=preordered:av=off:bs=unit_only_0 on theBenchmark for (2993ds/285Mi)
% 4.59/1.17  % (32292)Instruction limit reached!
% 4.59/1.17  % (32292)------------------------------
% 4.59/1.17  % (32292)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.59/1.17  % (32292)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.59/1.17  % (32292)Termination reason: Time limit
% 4.59/1.17  % (32292)Termination phase: Saturation
% 4.59/1.17  
% 4.59/1.17  % (32292)Memory used [KB]: 4012
% 4.59/1.17  % (32292)Time elapsed: 0.115 s
% 4.59/1.17  % (32292)Instructions burned: 252 (million)
% 5.73/1.20  % (32293)Instruction limit reached!
% 5.73/1.20  % (32293)------------------------------
% 5.73/1.20  % (32293)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.73/1.20  % (32293)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.73/1.20  % (32293)Termination reason: Time limit
% 5.73/1.20  % (32293)Termination phase: Saturation
% 5.73/1.20  
% 5.73/1.20  % (32293)Memory used [KB]: 2648
% 5.73/1.20  % (32293)Time elapsed: 0.121 s
% 5.73/1.20  % (32293)Instructions burned: 271 (million)
% 5.90/1.21  % (32294)Instruction limit reached!
% 5.90/1.21  % (32294)------------------------------
% 5.90/1.21  % (32294)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.90/1.21  % (32294)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.90/1.21  % (32294)Termination reason: Time limit
% 5.90/1.21  % (32294)Termination phase: Saturation
% 5.90/1.21  
% 5.90/1.21  % (32294)Memory used [KB]: 2716
% 5.90/1.21  % (32294)Time elapsed: 0.107 s
% 5.90/1.21  % (32294)Instructions burned: 286 (million)
% 5.90/1.23  % (32253)Running in auto input_syntax mode. Trying TPTP
% 5.90/1.23  % (32297)lrs+1011_16:1_to=lpo:sil=2000:spb=goal_then_units:urr=on:lsd=1:i=285:bd=off:ss=axioms:gsp=on:sac=on_0 on theBenchmark for (2992ds/285Mi)
% 6.07/1.25  % (32253)Running in auto input_syntax mode. Trying TPTP
% 6.07/1.25  % (32298)dis-1002_1:1_to=lpo:drc=encompass:sil=2000:sp=const_max:nwc=10.0:s2a=on:i=286:s2at=2.0:afp=10:ins=16:afq=1.4:aac=none:rawr=on:fsr=off:alpa=true_0 on theBenchmark for (2991ds/286Mi)
% 6.07/1.27  % (32253)Running in auto input_syntax mode. Trying TPTP
% 6.07/1.27  % (32299)lrs+1002_1:1_to=lpo:drc=encompass:sil=4000:sp=const_min:sos=on:spb=goal_then_units:acc=on:urr=on:sac=on:avsq=on:i=314:ins=2:br=off_0 on theBenchmark for (2991ds/314Mi)
% 6.07/1.31  % (32298)First to succeed.
% 6.07/1.31  % (32298)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32253"
% 6.07/1.31  % (32253)Running in auto input_syntax mode. Trying TPTP
% 6.07/1.31  % (32298)Refutation found. Thanks to Tanya!
% 6.07/1.31  % SZS status Theorem for theBenchmark
% 6.07/1.31  % SZS output start Proof for theBenchmark
% See solution above
% 6.07/1.31  % (32298)------------------------------
% 6.07/1.31  % (32298)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.07/1.31  % (32298)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.07/1.31  % (32298)Termination reason: Refutation
% 6.07/1.31  
% 6.07/1.31  % (32298)Memory used [KB]: 2520
% 6.07/1.31  % (32298)Time elapsed: 0.061 s
% 6.07/1.31  % (32298)Instructions burned: 169 (million)
% 6.07/1.31  % (32298)------------------------------
% 6.07/1.31  % (32298)------------------------------
% 6.07/1.31  % (32253)Success in time 0.929 s
%------------------------------------------------------------------------------