TSTP Solution File: SWW937+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWW937+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %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 : Fri Sep  1 00:41:29 EDT 2023

% Result   : Theorem 222.80s 30.35s
% Output   : CNFRefutation 222.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   79 (   9 unt;   0 def)
%            Number of atoms       :  266 (  24 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  320 ( 133   ~; 118   |;  56   &)
%                                         (   8 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :   14 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   6 con; 0-4 aty)
%            Number of variables   :  257 (   6 sgn; 145   !;  29   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,axiom,
    ! [X9,X20,X8,X21] :
      ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X9,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X9,cbool__00),X20),s__02(cfun__02(X9,cbool__00),X8))),s__02(cfun__02(X9,cbool__00),X21))))
    <=> ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X9,cbool__00),X8),s__02(cfun__02(X9,cbool__00),X21))))
        & p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X9,cbool__00),X20),s__02(cfun__02(X9,cbool__00),X21)))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm.pred_set.DISJOINT_UNION') ).

fof(f26,axiom,
    ! [X9,X20,X21,X22] :
      ( p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X9,cbool__00),X20),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X9,cbool__00),cfun__02(X9,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X9,cbool__00),X21),s__02(cfun__02(X9,cbool__00),X22))))))
    <=> ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X9,cbool__00),X21),s__02(cfun__02(X9,cbool__00),X22))))
        & s__02(cfun__02(X9,cbool__00),X20) = s__02(cfun__02(X9,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X9,cbool__00),X21),s__02(cfun__02(X9,cbool__00),X22))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm.set_sep.SPLIT_def') ).

fof(f27,axiom,
    ! [X9,X19,X18,X5] :
      ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X9,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X9,cbool__00),cbool__00),X19),s__02(cfun__02(cfun__02(X9,cbool__00),cbool__00),X18))),s__02(cfun__02(X9,cbool__00),X5))))
    <=> ? [X21,X22] :
          ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X9,cbool__00),cbool__00),X18),s__02(cfun__02(X9,cbool__00),X22))))
          & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X9,cbool__00),cbool__00),X19),s__02(cfun__02(X9,cbool__00),X21))))
          & p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X9,cbool__00),X5),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X9,cbool__00),cfun__02(X9,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X9,cbool__00),X21),s__02(cfun__02(X9,cbool__00),X22)))))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm.set_sep.STAR_def') ).

fof(f28,axiom,
    ! [X9,X20,X21,X22,X23] :
      ( p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X9,cbool__00),X20),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X9,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X9,cbool__00),cfun__02(X9,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X9,cbool__00),X21),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X9,cbool__00),cfun__02(X9,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X9,cbool__00),X22),s__02(cfun__02(X9,cbool__00),X23))))))))
    <=> ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X9,cbool__00),X21),s__02(cfun__02(X9,cbool__00),X23))))
        & p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X9,cbool__00),X22),s__02(cfun__02(X9,cbool__00),X23))))
        & p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X9,cbool__00),X21),s__02(cfun__02(X9,cbool__00),X22))))
        & s__02(cfun__02(X9,cbool__00),X20) = s__02(cfun__02(X9,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X9,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X9,cbool__00),X21),s__02(cfun__02(X9,cbool__00),X22))),s__02(cfun__02(X9,cbool__00),X23))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm.cfHeapsBase.SPLIT3_def') ).

fof(f29,conjecture,
    ! [X9,X24,X25,X26,X27] :
      ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X9,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X9,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X9,cbool__00),cbool__00),X24),s__02(cfun__02(cfun__02(X9,cbool__00),cbool__00),X25))),s__02(cfun__02(cfun__02(X9,cbool__00),cbool__00),X26))),s__02(cfun__02(X9,cbool__00),X27))))
     => ? [X28,X29,X30] :
          ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X9,cbool__00),cbool__00),X26),s__02(cfun__02(X9,cbool__00),X30))))
          & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X9,cbool__00),cbool__00),X25),s__02(cfun__02(X9,cbool__00),X29))))
          & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X9,cbool__00),cbool__00),X24),s__02(cfun__02(X9,cbool__00),X28))))
          & p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X9,cbool__00),X27),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X9,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X9,cbool__00),cfun__02(X9,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X9,cbool__00),X28),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X9,cbool__00),cfun__02(X9,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X9,cbool__00),X29),s__02(cfun__02(X9,cbool__00),X30)))))))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture) ).

fof(f30,negated_conjecture,
    ~ ! [X9,X24,X25,X26,X27] :
        ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X9,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X9,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X9,cbool__00),cbool__00),X24),s__02(cfun__02(cfun__02(X9,cbool__00),cbool__00),X25))),s__02(cfun__02(cfun__02(X9,cbool__00),cbool__00),X26))),s__02(cfun__02(X9,cbool__00),X27))))
       => ? [X28,X29,X30] :
            ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X9,cbool__00),cbool__00),X26),s__02(cfun__02(X9,cbool__00),X30))))
            & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X9,cbool__00),cbool__00),X25),s__02(cfun__02(X9,cbool__00),X29))))
            & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X9,cbool__00),cbool__00),X24),s__02(cfun__02(X9,cbool__00),X28))))
            & p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X9,cbool__00),X27),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X9,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X9,cbool__00),cfun__02(X9,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X9,cbool__00),X28),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X9,cbool__00),cfun__02(X9,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X9,cbool__00),X29),s__02(cfun__02(X9,cbool__00),X30)))))))) ) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f51,plain,
    ! [X0,X1,X2,X3] :
      ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(cfun__02(X0,cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3))))
    <=> ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))
        & p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(cfun__02(X0,cbool__00),X3)))) ) ),
    inference(rectify,[],[f25]) ).

fof(f52,plain,
    ! [X0,X1,X2,X3] :
      ( p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))))
    <=> ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))
        & s__02(cfun__02(X0,cbool__00),X1) = s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))) ) ),
    inference(rectify,[],[f26]) ).

fof(f53,plain,
    ! [X0,X1,X2,X3] :
      ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3))))
    <=> ? [X4,X5] :
          ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2),s__02(cfun__02(X0,cbool__00),X5))))
          & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(X0,cbool__00),X4))))
          & p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X4),s__02(cfun__02(X0,cbool__00),X5)))))) ) ),
    inference(rectify,[],[f27]) ).

fof(f54,plain,
    ! [X0,X1,X2,X3,X4] :
      ( p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(cfun__02(X0,cbool__00),X4))))))))
    <=> ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X4))))
        & p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(cfun__02(X0,cbool__00),X4))))
        & p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))
        & s__02(cfun__02(X0,cbool__00),X1) = s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))),s__02(cfun__02(X0,cbool__00),X4))) ) ),
    inference(rectify,[],[f28]) ).

fof(f55,plain,
    ~ ! [X0,X1,X2,X3,X4] :
        ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2))),s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X3))),s__02(cfun__02(X0,cbool__00),X4))))
       => ? [X5,X6,X7] :
            ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X3),s__02(cfun__02(X0,cbool__00),X7))))
            & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2),s__02(cfun__02(X0,cbool__00),X6))))
            & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(X0,cbool__00),X5))))
            & p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X0,cbool__00),X4),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X5),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X6),s__02(cfun__02(X0,cbool__00),X7)))))))) ) ),
    inference(rectify,[],[f30]) ).

fof(f76,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ! [X5,X6,X7] :
          ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X3),s__02(cfun__02(X0,cbool__00),X7))))
          | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2),s__02(cfun__02(X0,cbool__00),X6))))
          | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(X0,cbool__00),X5))))
          | ~ p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X0,cbool__00),X4),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X5),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X6),s__02(cfun__02(X0,cbool__00),X7)))))))) )
      & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2))),s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X3))),s__02(cfun__02(X0,cbool__00),X4)))) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f143,plain,
    ! [X0,X1,X2,X3] :
      ( ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(cfun__02(X0,cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3))))
        | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))
        | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(cfun__02(X0,cbool__00),X3)))) )
      & ( ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))
          & p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(cfun__02(X0,cbool__00),X3)))) )
        | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(cfun__02(X0,cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3)))) ) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f144,plain,
    ! [X0,X1,X2,X3] :
      ( ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(cfun__02(X0,cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3))))
        | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))
        | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(cfun__02(X0,cbool__00),X3)))) )
      & ( ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))
          & p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(cfun__02(X0,cbool__00),X3)))) )
        | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(cfun__02(X0,cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3)))) ) ),
    inference(flattening,[],[f143]) ).

fof(f145,plain,
    ! [X0,X1,X2,X3] :
      ( ( p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))))
        | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))
        | s__02(cfun__02(X0,cbool__00),X1) != s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))) )
      & ( ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))
          & s__02(cfun__02(X0,cbool__00),X1) = s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))) )
        | ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3)))))) ) ),
    inference(nnf_transformation,[],[f52]) ).

fof(f146,plain,
    ! [X0,X1,X2,X3] :
      ( ( p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))))
        | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))
        | s__02(cfun__02(X0,cbool__00),X1) != s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))) )
      & ( ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))
          & s__02(cfun__02(X0,cbool__00),X1) = s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))) )
        | ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3)))))) ) ),
    inference(flattening,[],[f145]) ).

fof(f147,plain,
    ! [X0,X1,X2,X3] :
      ( ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3))))
        | ! [X4,X5] :
            ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2),s__02(cfun__02(X0,cbool__00),X5))))
            | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(X0,cbool__00),X4))))
            | ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X4),s__02(cfun__02(X0,cbool__00),X5)))))) ) )
      & ( ? [X4,X5] :
            ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2),s__02(cfun__02(X0,cbool__00),X5))))
            & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(X0,cbool__00),X4))))
            & p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X4),s__02(cfun__02(X0,cbool__00),X5)))))) )
        | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3)))) ) ),
    inference(nnf_transformation,[],[f53]) ).

fof(f148,plain,
    ! [X0,X1,X2,X3] :
      ( ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3))))
        | ! [X4,X5] :
            ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2),s__02(cfun__02(X0,cbool__00),X5))))
            | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(X0,cbool__00),X4))))
            | ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X4),s__02(cfun__02(X0,cbool__00),X5)))))) ) )
      & ( ? [X6,X7] :
            ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2),s__02(cfun__02(X0,cbool__00),X7))))
            & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(X0,cbool__00),X6))))
            & p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X6),s__02(cfun__02(X0,cbool__00),X7)))))) )
        | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3)))) ) ),
    inference(rectify,[],[f147]) ).

fof(f149,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X6,X7] :
          ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2),s__02(cfun__02(X0,cbool__00),X7))))
          & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(X0,cbool__00),X6))))
          & p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X6),s__02(cfun__02(X0,cbool__00),X7)))))) )
     => ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2),s__02(cfun__02(X0,cbool__00),sK12(X0,X1,X2,X3)))))
        & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(X0,cbool__00),sK11(X0,X1,X2,X3)))))
        & p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),sK11(X0,X1,X2,X3)),s__02(cfun__02(X0,cbool__00),sK12(X0,X1,X2,X3))))))) ) ),
    introduced(choice_axiom,[]) ).

fof(f150,plain,
    ! [X0,X1,X2,X3] :
      ( ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3))))
        | ! [X4,X5] :
            ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2),s__02(cfun__02(X0,cbool__00),X5))))
            | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(X0,cbool__00),X4))))
            | ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X4),s__02(cfun__02(X0,cbool__00),X5)))))) ) )
      & ( ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2),s__02(cfun__02(X0,cbool__00),sK12(X0,X1,X2,X3)))))
          & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(X0,cbool__00),sK11(X0,X1,X2,X3)))))
          & p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),sK11(X0,X1,X2,X3)),s__02(cfun__02(X0,cbool__00),sK12(X0,X1,X2,X3))))))) )
        | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3)))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f148,f149]) ).

fof(f151,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(cfun__02(X0,cbool__00),X4))))))))
        | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X4))))
        | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(cfun__02(X0,cbool__00),X4))))
        | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))
        | s__02(cfun__02(X0,cbool__00),X1) != s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))),s__02(cfun__02(X0,cbool__00),X4))) )
      & ( ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X4))))
          & p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(cfun__02(X0,cbool__00),X4))))
          & p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))
          & s__02(cfun__02(X0,cbool__00),X1) = s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))),s__02(cfun__02(X0,cbool__00),X4))) )
        | ~ p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(cfun__02(X0,cbool__00),X4)))))))) ) ),
    inference(nnf_transformation,[],[f54]) ).

fof(f152,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(cfun__02(X0,cbool__00),X4))))))))
        | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X4))))
        | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(cfun__02(X0,cbool__00),X4))))
        | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))
        | s__02(cfun__02(X0,cbool__00),X1) != s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))),s__02(cfun__02(X0,cbool__00),X4))) )
      & ( ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X4))))
          & p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(cfun__02(X0,cbool__00),X4))))
          & p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))
          & s__02(cfun__02(X0,cbool__00),X1) = s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))),s__02(cfun__02(X0,cbool__00),X4))) )
        | ~ p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(cfun__02(X0,cbool__00),X4)))))))) ) ),
    inference(flattening,[],[f151]) ).

fof(f153,plain,
    ( ? [X0,X1,X2,X3,X4] :
        ( ! [X5,X6,X7] :
            ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X3),s__02(cfun__02(X0,cbool__00),X7))))
            | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2),s__02(cfun__02(X0,cbool__00),X6))))
            | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(X0,cbool__00),X5))))
            | ~ p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X0,cbool__00),X4),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X5),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X6),s__02(cfun__02(X0,cbool__00),X7)))))))) )
        & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2))),s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X3))),s__02(cfun__02(X0,cbool__00),X4)))) )
   => ( ! [X7,X6,X5] :
          ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK16),s__02(cfun__02(sK13,cbool__00),X7))))
          | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15),s__02(cfun__02(sK13,cbool__00),X6))))
          | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(sK13,cbool__00),X5))))
          | ~ p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(sK13,cbool__00),sK17),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),X5),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),X6),s__02(cfun__02(sK13,cbool__00),X7)))))))) )
      & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15))),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK16))),s__02(cfun__02(sK13,cbool__00),sK17)))) ) ),
    introduced(choice_axiom,[]) ).

fof(f154,plain,
    ( ! [X5,X6,X7] :
        ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK16),s__02(cfun__02(sK13,cbool__00),X7))))
        | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15),s__02(cfun__02(sK13,cbool__00),X6))))
        | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(sK13,cbool__00),X5))))
        | ~ p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(sK13,cbool__00),sK17),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),X5),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),X6),s__02(cfun__02(sK13,cbool__00),X7)))))))) )
    & p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15))),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK16))),s__02(cfun__02(sK13,cbool__00),sK17)))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17])],[f76,f153]) ).

fof(f301,plain,
    ! [X2,X3,X0,X1] :
      ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(cfun__02(X0,cbool__00),X3))))
      | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(cfun__02(X0,cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3)))) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f302,plain,
    ! [X2,X3,X0,X1] :
      ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))
      | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(cfun__02(X0,cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3)))) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f304,plain,
    ! [X2,X3,X0,X1] :
      ( s__02(cfun__02(X0,cbool__00),X1) = s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3)))
      | ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3)))))) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f305,plain,
    ! [X2,X3,X0,X1] :
      ( p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))
      | ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3)))))) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f307,plain,
    ! [X2,X3,X0,X1] :
      ( p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),sK11(X0,X1,X2,X3)),s__02(cfun__02(X0,cbool__00),sK12(X0,X1,X2,X3)))))))
      | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3)))) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f308,plain,
    ! [X2,X3,X0,X1] :
      ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(X0,cbool__00),sK11(X0,X1,X2,X3)))))
      | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3)))) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f309,plain,
    ! [X2,X3,X0,X1] :
      ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2),s__02(cfun__02(X0,cbool__00),sK12(X0,X1,X2,X3)))))
      | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3)))) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f315,plain,
    ! [X2,X3,X0,X1,X4] :
      ( p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(cfun__02(X0,cbool__00),X4))))))))
      | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X4))))
      | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(cfun__02(X0,cbool__00),X4))))
      | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))
      | s__02(cfun__02(X0,cbool__00),X1) != s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))),s__02(cfun__02(X0,cbool__00),X4))) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f316,plain,
    p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15))),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK16))),s__02(cfun__02(sK13,cbool__00),sK17)))),
    inference(cnf_transformation,[],[f154]) ).

fof(f317,plain,
    ! [X6,X7,X5] :
      ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK16),s__02(cfun__02(sK13,cbool__00),X7))))
      | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15),s__02(cfun__02(sK13,cbool__00),X6))))
      | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(sK13,cbool__00),X5))))
      | ~ p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(sK13,cbool__00),sK17),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),X5),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),X6),s__02(cfun__02(sK13,cbool__00),X7)))))))) ),
    inference(cnf_transformation,[],[f154]) ).

cnf(c_157,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(cfun__02(X0,cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3))))
    | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3)))) ),
    inference(cnf_transformation,[],[f302]) ).

cnf(c_158,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(cfun__02(X0,cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3))))
    | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(cfun__02(X0,cbool__00),X3)))) ),
    inference(cnf_transformation,[],[f301]) ).

cnf(c_160,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))))
    | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3)))) ),
    inference(cnf_transformation,[],[f305]) ).

cnf(c_161,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))))
    | s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))) = s__02(cfun__02(X0,cbool__00),X1) ),
    inference(cnf_transformation,[],[f304]) ).

cnf(c_163,plain,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3))))
    | p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2),s__02(cfun__02(X0,cbool__00),sK12(X0,X1,X2,X3))))) ),
    inference(cnf_transformation,[],[f309]) ).

cnf(c_164,plain,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3))))
    | p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(X0,cbool__00),sK11(X0,X1,X2,X3))))) ),
    inference(cnf_transformation,[],[f308]) ).

cnf(c_165,plain,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X1),s__02(cfun__02(cfun__02(X0,cbool__00),cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3))))
    | p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0,cbool__00),X3),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),sK11(X0,X1,X2,X3)),s__02(cfun__02(X0,cbool__00),sK12(X0,X1,X2,X3))))))) ),
    inference(cnf_transformation,[],[f307]) ).

cnf(c_166,plain,
    ( s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(cfun__02(X0,cbool__00),X2))),s__02(cfun__02(X0,cbool__00),X3))) != s__02(cfun__02(X0,cbool__00),X4)
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(cfun__02(X0,cbool__00),X2))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(cfun__02(X0,cbool__00),X3))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3))))
    | p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X0,cbool__00),X4),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X1),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0,cbool__00),cfun__02(X0,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0,cbool__00),X2),s__02(cfun__02(X0,cbool__00),X3)))))))) ),
    inference(cnf_transformation,[],[f315]) ).

cnf(c_171,negated_conjecture,
    ( ~ p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(sK13,cbool__00),sK17),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),X0),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),X1),s__02(cfun__02(sK13,cbool__00),X2))))))))
    | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK16),s__02(cfun__02(sK13,cbool__00),X2))))
    | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15),s__02(cfun__02(sK13,cbool__00),X1))))
    | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(sK13,cbool__00),X0)))) ),
    inference(cnf_transformation,[],[f317]) ).

cnf(c_172,negated_conjecture,
    p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15))),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK16))),s__02(cfun__02(sK13,cbool__00),sK17)))),
    inference(cnf_transformation,[],[f316]) ).

cnf(c_1777,negated_conjecture,
    p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15))),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK16))),s__02(cfun__02(sK13,cbool__00),sK17)))),
    inference(subtyping,[status(esa)],[c_172]) ).

cnf(c_1778,negated_conjecture,
    ( ~ p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(sK13,cbool__00),sK17),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),X0_15),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),X1_15),s__02(cfun__02(sK13,cbool__00),X2_15))))))))
    | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK16),s__02(cfun__02(sK13,cbool__00),X2_15))))
    | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15),s__02(cfun__02(sK13,cbool__00),X1_15))))
    | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(sK13,cbool__00),X0_15)))) ),
    inference(subtyping,[status(esa)],[c_171]) ).

cnf(c_1783,plain,
    ( s__02(cfun__02(X0_14,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0_14,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0_14,cbool__00),X0_15),s__02(cfun__02(X0_14,cbool__00),X1_15))),s__02(cfun__02(X0_14,cbool__00),X2_15))) != s__02(cfun__02(X0_14,cbool__00),X3_15)
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0_14,cbool__00),X0_15),s__02(cfun__02(X0_14,cbool__00),X1_15))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0_14,cbool__00),X0_15),s__02(cfun__02(X0_14,cbool__00),X2_15))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0_14,cbool__00),X1_15),s__02(cfun__02(X0_14,cbool__00),X2_15))))
    | p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(X0_14,cbool__00),X3_15),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0_14,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(X0_14,cbool__00),cfun__02(X0_14,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0_14,cbool__00),X0_15),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0_14,cbool__00),cfun__02(X0_14,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0_14,cbool__00),X1_15),s__02(cfun__02(X0_14,cbool__00),X2_15)))))))) ),
    inference(subtyping,[status(esa)],[c_166]) ).

cnf(c_1784,plain,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0_14,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0_14,cbool__00),cbool__00),X0_15),s__02(cfun__02(cfun__02(X0_14,cbool__00),cbool__00),X1_15))),s__02(cfun__02(X0_14,cbool__00),X2_15))))
    | p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0_14,cbool__00),X2_15),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0_14,cbool__00),cfun__02(X0_14,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0_14,cbool__00),sK11(X0_14,X0_15,X1_15,X2_15)),s__02(cfun__02(X0_14,cbool__00),sK12(X0_14,X0_15,X1_15,X2_15))))))) ),
    inference(subtyping,[status(esa)],[c_165]) ).

cnf(c_1785,plain,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0_14,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0_14,cbool__00),cbool__00),X0_15),s__02(cfun__02(cfun__02(X0_14,cbool__00),cbool__00),X1_15))),s__02(cfun__02(X0_14,cbool__00),X2_15))))
    | p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0_14,cbool__00),cbool__00),X0_15),s__02(cfun__02(X0_14,cbool__00),sK11(X0_14,X0_15,X1_15,X2_15))))) ),
    inference(subtyping,[status(esa)],[c_164]) ).

cnf(c_1786,plain,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0_14,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0_14,cbool__00),cbool__00),X0_15),s__02(cfun__02(cfun__02(X0_14,cbool__00),cbool__00),X1_15))),s__02(cfun__02(X0_14,cbool__00),X2_15))))
    | p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0_14,cbool__00),cbool__00),X1_15),s__02(cfun__02(X0_14,cbool__00),sK12(X0_14,X0_15,X1_15,X2_15))))) ),
    inference(subtyping,[status(esa)],[c_163]) ).

cnf(c_1788,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0_14,cbool__00),X0_15),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0_14,cbool__00),cfun__02(X0_14,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0_14,cbool__00),X1_15),s__02(cfun__02(X0_14,cbool__00),X2_15))))))
    | s__02(cfun__02(X0_14,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0_14,cbool__00),X1_15),s__02(cfun__02(X0_14,cbool__00),X2_15))) = s__02(cfun__02(X0_14,cbool__00),X0_15) ),
    inference(subtyping,[status(esa)],[c_161]) ).

cnf(c_1789,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(X0_14,cbool__00),X0_15),s__02(c_27type_2epair_2eprod_27__02(cfun__02(X0_14,cbool__00),cfun__02(X0_14,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(X0_14,cbool__00),X1_15),s__02(cfun__02(X0_14,cbool__00),X2_15))))))
    | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0_14,cbool__00),X1_15),s__02(cfun__02(X0_14,cbool__00),X2_15)))) ),
    inference(subtyping,[status(esa)],[c_160]) ).

cnf(c_1791,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0_14,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0_14,cbool__00),X0_15),s__02(cfun__02(X0_14,cbool__00),X1_15))),s__02(cfun__02(X0_14,cbool__00),X2_15))))
    | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0_14,cbool__00),X0_15),s__02(cfun__02(X0_14,cbool__00),X2_15)))) ),
    inference(subtyping,[status(esa)],[c_158]) ).

cnf(c_1792,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0_14,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0_14,cbool__00),X0_15),s__02(cfun__02(X0_14,cbool__00),X1_15))),s__02(cfun__02(X0_14,cbool__00),X2_15))))
    | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(X0_14,cbool__00),X1_15),s__02(cfun__02(X0_14,cbool__00),X2_15)))) ),
    inference(subtyping,[status(esa)],[c_157]) ).

cnf(c_2552,plain,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15))),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK16))),s__02(cfun__02(sK13,cbool__00),sK17))))
    | p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15))),s__02(cfun__02(sK13,cbool__00),sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))))) ),
    inference(instantiation,[status(thm)],[c_1785]) ).

cnf(c_2553,plain,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15))),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK16))),s__02(cfun__02(sK13,cbool__00),sK17))))
    | p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK16),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))))) ),
    inference(instantiation,[status(thm)],[c_1786]) ).

cnf(c_2558,plain,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15))),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK16))),s__02(cfun__02(sK13,cbool__00),sK17))))
    | p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(sK13,cbool__00),sK17),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))))))) ),
    inference(instantiation,[status(thm)],[c_1784]) ).

cnf(c_2597,plain,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15))),s__02(cfun__02(sK13,cbool__00),sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)))))
    | p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),sK12(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)))))))) ),
    inference(instantiation,[status(thm)],[c_1784]) ).

cnf(c_2598,plain,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15))),s__02(cfun__02(sK13,cbool__00),sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)))))
    | p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15),s__02(cfun__02(sK13,cbool__00),sK12(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)))))) ),
    inference(instantiation,[status(thm)],[c_1786]) ).

cnf(c_2599,plain,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15))),s__02(cfun__02(sK13,cbool__00),sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)))))
    | p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(sK13,cbool__00),sK11(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)))))) ),
    inference(instantiation,[status(thm)],[c_1785]) ).

cnf(c_2664,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(sK13,cbool__00),sK17),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)))))))
    | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))))) ),
    inference(instantiation,[status(thm)],[c_1789]) ).

cnf(c_2868,plain,
    ( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(X0_14,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(X0_14,cbool__00),cbool__00),X0_15),s__02(cfun__02(cfun__02(X0_14,cbool__00),cbool__00),X1_15))),s__02(cfun__02(X0_14,cbool__00),X2_15))))
    | s__02(cfun__02(X0_14,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(X0_14,cbool__00),sK11(X0_14,X0_15,X1_15,X2_15)),s__02(cfun__02(X0_14,cbool__00),sK12(X0_14,X0_15,X1_15,X2_15)))) = s__02(cfun__02(X0_14,cbool__00),X2_15) ),
    inference(superposition,[status(thm)],[c_1784,c_1788]) ).

cnf(c_3140,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2eset__sep_2eSPLIT_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),sK12(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))))))))
    | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),sK12(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)))))) ),
    inference(instantiation,[status(thm)],[c_1789]) ).

cnf(c_3275,plain,
    s__02(cfun__02(sK13,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)))) = s__02(cfun__02(sK13,cbool__00),sK17),
    inference(superposition,[status(thm)],[c_1777,c_2868]) ).

cnf(c_3277,plain,
    p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15))),s__02(cfun__02(sK13,cbool__00),sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))))),
    inference(superposition,[status(thm)],[c_1777,c_1785]) ).

cnf(c_6111,plain,
    s__02(cfun__02(sK13,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),sK12(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))))) = s__02(cfun__02(sK13,cbool__00),sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)),
    inference(superposition,[status(thm)],[c_3277,c_2868]) ).

cnf(c_6361,plain,
    ( s__02(cfun__02(sK13,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)),s__02(cfun__02(sK13,cbool__00),X0_15))) != s__02(cfun__02(sK13,cbool__00),X1_15)
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),sK12(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK12(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),X0_15))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),X0_15))))
    | p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(sK13,cbool__00),X1_15),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),sK12(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),X0_15)))))))) ),
    inference(superposition,[status(thm)],[c_6111,c_1783]) ).

cnf(c_6465,plain,
    ( s__02(cfun__02(sK13,cbool__00),c_27const_2epred__set_2eUNION_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)),s__02(cfun__02(sK13,cbool__00),X0_15))) != s__02(cfun__02(sK13,cbool__00),X1_15)
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK12(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),X0_15))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),X0_15))))
    | p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(sK13,cbool__00),X1_15),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),sK12(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),X0_15)))))))) ),
    inference(global_subsumption_just,[status(thm)],[c_6361,c_172,c_2552,c_2597,c_3140,c_6361]) ).

cnf(c_7858,plain,
    ( s__02(cfun__02(sK13,cbool__00),X0_15) != s__02(cfun__02(sK13,cbool__00),sK17)
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK12(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)))))
    | p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(sK13,cbool__00),X0_15),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),sK12(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))))))))) ),
    inference(superposition,[status(thm)],[c_3275,c_6465]) ).

cnf(c_7881,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK12(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)))))
    | p__01(s__02(cbool__00,c_27const_2ecfHeapsBase_2eSPLIT3_27__02(s__02(cfun__02(sK13,cbool__00),sK17),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00))),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(c_27type_2epair_2eprod_27__02(cfun__02(sK13,cbool__00),cfun__02(sK13,cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(cfun__02(sK13,cbool__00),sK12(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))))))))) ),
    inference(equality_resolution,[status(thm)],[c_7858]) ).

cnf(c_7882,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK12(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)))))
    | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15),s__02(cfun__02(sK13,cbool__00),sK12(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))))))
    | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(sK13,cbool__00),sK11(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))))))
    | ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK16),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))))) ),
    inference(superposition,[status(thm)],[c_7881,c_1778]) ).

cnf(c_7889,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK12(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))))) ),
    inference(global_subsumption_just,[status(thm)],[c_7882,c_172,c_2552,c_2553,c_2599,c_2598,c_7882]) ).

cnf(c_7890,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK12(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))))) ),
    inference(renaming,[status(thm)],[c_7889]) ).

cnf(c_9805,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)),s__02(cfun__02(sK13,cbool__00),X0_15))))
    | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),X0_15)))) ),
    inference(superposition,[status(thm)],[c_6111,c_1791]) ).

cnf(c_11608,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)),s__02(cfun__02(sK13,cbool__00),X0_15))))
    | p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK12(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),X0_15)))) ),
    inference(superposition,[status(thm)],[c_6111,c_1792]) ).

cnf(c_11737,plain,
    ( ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)))))
    | ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))))) ),
    inference(superposition,[status(thm)],[c_11608,c_7890]) ).

cnf(c_11740,plain,
    ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,sK14,sK15,sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))))),
    inference(global_subsumption_just,[status(thm)],[c_11737,c_172,c_2558,c_2664,c_11737]) ).

cnf(c_13363,plain,
    ~ p__01(s__02(cbool__00,c_27const_2epred__set_2eDISJOINT_27__02(s__02(cfun__02(sK13,cbool__00),sK11(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17)),s__02(cfun__02(sK13,cbool__00),sK12(sK13,c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK14),s__02(cfun__02(cfun__02(sK13,cbool__00),cbool__00),sK15)),sK16,sK17))))),
    inference(superposition,[status(thm)],[c_9805,c_11740]) ).

cnf(c_13364,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_13363,c_2664,c_2558,c_172]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW937+1 : TPTP v8.1.2. Released v7.3.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 18:23:53 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 222.80/30.35  % SZS status Started for theBenchmark.p
% 222.80/30.35  % SZS status Theorem for theBenchmark.p
% 222.80/30.35  
% 222.80/30.35  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 222.80/30.35  
% 222.80/30.35  ------  iProver source info
% 222.80/30.35  
% 222.80/30.35  git: date: 2023-05-31 18:12:56 +0000
% 222.80/30.35  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 222.80/30.35  git: non_committed_changes: false
% 222.80/30.35  git: last_make_outside_of_git: false
% 222.80/30.35  
% 222.80/30.35  ------ Parsing...
% 222.80/30.35  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 222.80/30.35  
% 222.80/30.35  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 222.80/30.35  
% 222.80/30.35  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 222.80/30.35  
% 222.80/30.35  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 222.80/30.35  ------ Proving...
% 222.80/30.35  ------ Problem Properties 
% 222.80/30.35  
% 222.80/30.35  
% 222.80/30.35  clauses                                 31
% 222.80/30.35  conjectures                             2
% 222.80/30.35  EPR                                     1
% 222.80/30.35  Horn                                    28
% 222.80/30.35  unary                                   3
% 222.80/30.35  binary                                  18
% 222.80/30.35  lits                                    73
% 222.80/30.35  lits eq                                 16
% 222.80/30.35  fd_pure                                 0
% 222.80/30.35  fd_pseudo                               0
% 222.80/30.35  fd_cond                                 0
% 222.80/30.35  fd_pseudo_cond                          0
% 222.80/30.35  AC symbols                              0
% 222.80/30.35  
% 222.80/30.35  ------ Input Options Time Limit: Unbounded
% 222.80/30.35  
% 222.80/30.35  
% 222.80/30.35  ------ 
% 222.80/30.35  Current options:
% 222.80/30.35  ------ 
% 222.80/30.35  
% 222.80/30.35  
% 222.80/30.35  
% 222.80/30.35  
% 222.80/30.35  ------ Proving...
% 222.80/30.35  
% 222.80/30.35  
% 222.80/30.35  % SZS status Theorem for theBenchmark.p
% 222.80/30.35  
% 222.80/30.35  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 222.80/30.35  
% 222.80/30.36  
%------------------------------------------------------------------------------