TSTP Solution File: SWW470+3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWW470+3 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 00:39:15 EDT 2023

% Result   : Theorem 51.08s 8.26s
% Output   : CNFRefutation 51.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  147 (  56 unt;   0 def)
%            Number of atoms       :  315 (  90 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  260 (  92   ~; 100   |;  26   &)
%                                         (  15 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   66 (  66 usr;  30 con; 0-4 aty)
%            Number of variables   :  293 (  44 sgn; 181   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22,axiom,
    is_bool(bot_bot_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool) ).

fof(f23,axiom,
    is_bool(fFalse),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_fFalse) ).

fof(f30,axiom,
    ! [X0,X1] : is_bool(hAPP_f1695230391l_bool(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____uwgpyvfjxg__Otriple_It__a_J_Mtc) ).

fof(f36,axiom,
    ! [X2] : hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),bot_bo797238721a_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).

fof(f40,axiom,
    ! [X2,X12,X13,X14,X15] :
      ( ( hBOOL(X15)
       => hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X12,X13,X14)),bot_bo797238721a_bool))) )
     => hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X12))),X15),X13,X14)),bot_bo797238721a_bool))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_constant) ).

fof(f44,axiom,
    ! [X14,X12,X2,X19,X13,X18] :
      ( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X19,X13,X18)),bot_bo797238721a_bool)))
     => ( ! [X16,X17] :
            ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X12,X16),X17))
           => ! [X20] :
                ( ! [X21] :
                    ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X19,X21),X17))
                   => hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X18,X21),X20)) )
               => hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X14,X16),X20)) ) )
       => hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X12,X13,X14)),bot_bo797238721a_bool))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_conseq12) ).

fof(f55,axiom,
    ! [X22] : hAPP_f20753329a_bool(collec351493750iple_a,hAPP_H426895267a_bool(fequal963300192iple_a,X22)) = hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,X22),bot_bo797238721a_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_singleton__conv2) ).

fof(f80,axiom,
    ! [X24] :
      ( ? [X26] : hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X26),X24))
    <=> bot_bot_fun_int_bool != X24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_ex__in__conv) ).

fof(f81,axiom,
    ! [X24] :
      ( ! [X26] : ~ hBOOL(hAPP_f1695230391l_bool(hAPP_H622608077l_bool(member1797258804iple_a,X26),X24))
    <=> bot_bo797238721a_bool = X24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_all__not__in__conv) ).

fof(f83,axiom,
    ! [X24] :
      ( ! [X26] : ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X26),X24))
    <=> bot_bot_fun_int_bool = X24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_all__not__in__conv) ).

fof(f85,axiom,
    bot_bot_fun_int_bool = hAPP_f1805168059t_bool(collect_int,hAPP_b396694332t_bool(cOMBK_bool_int,fFalse)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_empty__def) ).

fof(f145,axiom,
    ! [X26] :
      ( hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X26))
    <=> hBOOL(bot_bot_bool) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_109_bot__fun__def) ).

fof(f177,axiom,
    ! [X26] :
      ( hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X26))
    <=> hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X26),bot_bot_fun_int_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_141_bot__empty__eq) ).

fof(f233,axiom,
    ! [X27,X24] :
      ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X27),X24))
    <=> hBOOL(hAPP_int_bool(X24,X27)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_197_mem__def) ).

fof(f234,axiom,
    ! [X12] : hAPP_f1805168059t_bool(collect_int,X12) = X12,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_198_Collect__def) ).

fof(f235,axiom,
    ! [X12] : hAPP_f20753329a_bool(collec351493750iple_a,X12) = X12,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_199_Collect__def) ).

fof(f868,axiom,
    ! [X22] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X22),bot_bot_bool))
     => ( hBOOL(X22)
      <=> hBOOL(bot_bot_bool) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_832_le__bot) ).

fof(f1249,axiom,
    ! [X290] :
      ( is_bool(X290)
     => ( fFalse = X290
        | fTrue = X290 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_000tc__Nat__Onat_T) ).

fof(f1262,axiom,
    ! [X290,X291] :
      ( is_bool(X290)
     => hAPP_int_bool(hAPP_b396694332t_bool(cOMBK_bool_int,X290),X291) = X290 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Int__Oint_U) ).

fof(f1264,axiom,
    ! [X290,X291] :
      ( is_bool(X290)
     => hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X290),X291) = X290 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) ).

fof(f1287,axiom,
    ! [X290,X291] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X290),X291) = X290,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U) ).

fof(f1399,conjecture,
    hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f1400,negated_conjecture,
    ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))),
    inference(negated_conjecture,[],[f1399]) ).

fof(f1401,plain,
    ! [X0] : hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),bot_bo797238721a_bool)),
    inference(rectify,[],[f36]) ).

fof(f1405,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( hBOOL(X4)
       => hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X1,X2,X3)),bot_bo797238721a_bool))) )
     => hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X4),X2,X3)),bot_bo797238721a_bool))) ),
    inference(rectify,[],[f40]) ).

fof(f1409,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X3,X4,X5)),bot_bo797238721a_bool)))
     => ( ! [X6,X7] :
            ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,X6),X7))
           => ! [X8] :
                ( ! [X9] :
                    ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),X7))
                   => hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),X8)) )
               => hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X6),X8)) ) )
       => hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X1,X4,X0)),bot_bo797238721a_bool))) ) ),
    inference(rectify,[],[f44]) ).

fof(f1420,plain,
    ! [X0] : hAPP_f20753329a_bool(collec351493750iple_a,hAPP_H426895267a_bool(fequal963300192iple_a,X0)) = hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,X0),bot_bo797238721a_bool),
    inference(rectify,[],[f55]) ).

fof(f1445,plain,
    ! [X0] :
      ( ? [X1] : hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X1),X0))
    <=> bot_bot_fun_int_bool != X0 ),
    inference(rectify,[],[f80]) ).

fof(f1446,plain,
    ! [X0] :
      ( ! [X1] : ~ hBOOL(hAPP_f1695230391l_bool(hAPP_H622608077l_bool(member1797258804iple_a,X1),X0))
    <=> bot_bo797238721a_bool = X0 ),
    inference(rectify,[],[f81]) ).

fof(f1448,plain,
    ! [X0] :
      ( ! [X1] : ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X1),X0))
    <=> bot_bot_fun_int_bool = X0 ),
    inference(rectify,[],[f83]) ).

fof(f1507,plain,
    ! [X0] :
      ( hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X0))
    <=> hBOOL(bot_bot_bool) ),
    inference(rectify,[],[f145]) ).

fof(f1539,plain,
    ! [X0] :
      ( hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X0))
    <=> hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X0),bot_bot_fun_int_bool)) ),
    inference(rectify,[],[f177]) ).

fof(f1595,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X0),X1))
    <=> hBOOL(hAPP_int_bool(X1,X0)) ),
    inference(rectify,[],[f233]) ).

fof(f1596,plain,
    ! [X0] : hAPP_f1805168059t_bool(collect_int,X0) = X0,
    inference(rectify,[],[f234]) ).

fof(f1597,plain,
    ! [X0] : hAPP_f20753329a_bool(collec351493750iple_a,X0) = X0,
    inference(rectify,[],[f235]) ).

fof(f2219,plain,
    ! [X0] :
      ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X0),bot_bot_bool))
     => ( hBOOL(X0)
      <=> hBOOL(bot_bot_bool) ) ),
    inference(rectify,[],[f868]) ).

fof(f2593,plain,
    ! [X0] :
      ( is_bool(X0)
     => ( fFalse = X0
        | fTrue = X0 ) ),
    inference(rectify,[],[f1249]) ).

fof(f2606,plain,
    ! [X0,X1] :
      ( is_bool(X0)
     => hAPP_int_bool(hAPP_b396694332t_bool(cOMBK_bool_int,X0),X1) = X0 ),
    inference(rectify,[],[f1262]) ).

fof(f2608,plain,
    ! [X0,X1] :
      ( is_bool(X0)
     => hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0 ),
    inference(rectify,[],[f1264]) ).

fof(f2631,plain,
    ! [X0,X1] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1) = X0,
    inference(rectify,[],[f1287]) ).

fof(f2743,plain,
    ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))),
    inference(flattening,[],[f1400]) ).

fof(f2750,plain,
    ! [X0,X1,X2,X3,X4] :
      ( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X4),X2,X3)),bot_bo797238721a_bool)))
      | ( ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X1,X2,X3)),bot_bo797238721a_bool)))
        & hBOOL(X4) ) ),
    inference(ennf_transformation,[],[f1405]) ).

fof(f2756,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X1,X4,X0)),bot_bo797238721a_bool)))
      | ? [X6,X7] :
          ( ? [X8] :
              ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X6),X8))
              & ! [X9] :
                  ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),X8))
                  | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),X7)) ) )
          & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,X6),X7)) )
      | ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X3,X4,X5)),bot_bo797238721a_bool))) ),
    inference(ennf_transformation,[],[f1409]) ).

fof(f2757,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X1,X4,X0)),bot_bo797238721a_bool)))
      | ? [X6,X7] :
          ( ? [X8] :
              ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X6),X8))
              & ! [X9] :
                  ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),X8))
                  | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),X7)) ) )
          & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,X6),X7)) )
      | ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X3,X4,X5)),bot_bo797238721a_bool))) ),
    inference(flattening,[],[f2756]) ).

fof(f3546,plain,
    ! [X0] :
      ( ( hBOOL(X0)
      <=> hBOOL(bot_bot_bool) )
      | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X0),bot_bot_bool)) ),
    inference(ennf_transformation,[],[f2219]) ).

fof(f3814,plain,
    ! [X0] :
      ( fFalse = X0
      | fTrue = X0
      | ~ is_bool(X0) ),
    inference(ennf_transformation,[],[f2593]) ).

fof(f3815,plain,
    ! [X0] :
      ( fFalse = X0
      | fTrue = X0
      | ~ is_bool(X0) ),
    inference(flattening,[],[f3814]) ).

fof(f3816,plain,
    ! [X0,X1] :
      ( hAPP_int_bool(hAPP_b396694332t_bool(cOMBK_bool_int,X0),X1) = X0
      | ~ is_bool(X0) ),
    inference(ennf_transformation,[],[f2606]) ).

fof(f3818,plain,
    ! [X0,X1] :
      ( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0
      | ~ is_bool(X0) ),
    inference(ennf_transformation,[],[f2608]) ).

fof(f3836,plain,
    ! [X0,X1,X3,X5] :
      ( ? [X6,X7] :
          ( ? [X8] :
              ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X6),X8))
              & ! [X9] :
                  ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),X8))
                  | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),X7)) ) )
          & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,X6),X7)) )
     => ( ? [X8] :
            ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK10(X0,X1,X3,X5)),X8))
            & ! [X9] :
                ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),X8))
                | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),sK11(X0,X1,X3,X5))) ) )
        & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK10(X0,X1,X3,X5)),sK11(X0,X1,X3,X5))) ) ),
    introduced(choice_axiom,[]) ).

fof(f3837,plain,
    ! [X0,X1,X3,X5] :
      ( ? [X8] :
          ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK10(X0,X1,X3,X5)),X8))
          & ! [X9] :
              ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),X8))
              | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),sK11(X0,X1,X3,X5))) ) )
     => ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK10(X0,X1,X3,X5)),sK12(X0,X1,X3,X5)))
        & ! [X9] :
            ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),sK12(X0,X1,X3,X5)))
            | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),sK11(X0,X1,X3,X5))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f3838,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X1,X4,X0)),bot_bo797238721a_bool)))
      | ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK10(X0,X1,X3,X5)),sK12(X0,X1,X3,X5)))
        & ! [X9] :
            ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),sK12(X0,X1,X3,X5)))
            | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),sK11(X0,X1,X3,X5))) )
        & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK10(X0,X1,X3,X5)),sK11(X0,X1,X3,X5))) )
      | ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X3,X4,X5)),bot_bo797238721a_bool))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f2757,f3837,f3836]) ).

fof(f3871,plain,
    ! [X0] :
      ( ( ? [X1] : hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X1),X0))
        | bot_bot_fun_int_bool = X0 )
      & ( bot_bot_fun_int_bool != X0
        | ! [X1] : ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X1),X0)) ) ),
    inference(nnf_transformation,[],[f1445]) ).

fof(f3872,plain,
    ! [X0] :
      ( ( ? [X1] : hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X1),X0))
        | bot_bot_fun_int_bool = X0 )
      & ( bot_bot_fun_int_bool != X0
        | ! [X2] : ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X2),X0)) ) ),
    inference(rectify,[],[f3871]) ).

fof(f3873,plain,
    ! [X0] :
      ( ? [X1] : hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X1),X0))
     => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,sK21(X0)),X0)) ),
    introduced(choice_axiom,[]) ).

fof(f3874,plain,
    ! [X0] :
      ( ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,sK21(X0)),X0))
        | bot_bot_fun_int_bool = X0 )
      & ( bot_bot_fun_int_bool != X0
        | ! [X2] : ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X2),X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f3872,f3873]) ).

fof(f3875,plain,
    ! [X0] :
      ( ( ! [X1] : ~ hBOOL(hAPP_f1695230391l_bool(hAPP_H622608077l_bool(member1797258804iple_a,X1),X0))
        | bot_bo797238721a_bool != X0 )
      & ( bot_bo797238721a_bool = X0
        | ? [X1] : hBOOL(hAPP_f1695230391l_bool(hAPP_H622608077l_bool(member1797258804iple_a,X1),X0)) ) ),
    inference(nnf_transformation,[],[f1446]) ).

fof(f3876,plain,
    ! [X0] :
      ( ( ! [X1] : ~ hBOOL(hAPP_f1695230391l_bool(hAPP_H622608077l_bool(member1797258804iple_a,X1),X0))
        | bot_bo797238721a_bool != X0 )
      & ( bot_bo797238721a_bool = X0
        | ? [X2] : hBOOL(hAPP_f1695230391l_bool(hAPP_H622608077l_bool(member1797258804iple_a,X2),X0)) ) ),
    inference(rectify,[],[f3875]) ).

fof(f3877,plain,
    ! [X0] :
      ( ? [X2] : hBOOL(hAPP_f1695230391l_bool(hAPP_H622608077l_bool(member1797258804iple_a,X2),X0))
     => hBOOL(hAPP_f1695230391l_bool(hAPP_H622608077l_bool(member1797258804iple_a,sK22(X0)),X0)) ),
    introduced(choice_axiom,[]) ).

fof(f3878,plain,
    ! [X0] :
      ( ( ! [X1] : ~ hBOOL(hAPP_f1695230391l_bool(hAPP_H622608077l_bool(member1797258804iple_a,X1),X0))
        | bot_bo797238721a_bool != X0 )
      & ( bot_bo797238721a_bool = X0
        | hBOOL(hAPP_f1695230391l_bool(hAPP_H622608077l_bool(member1797258804iple_a,sK22(X0)),X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f3876,f3877]) ).

fof(f3883,plain,
    ! [X0] :
      ( ( ! [X1] : ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X1),X0))
        | bot_bot_fun_int_bool != X0 )
      & ( bot_bot_fun_int_bool = X0
        | ? [X1] : hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X1),X0)) ) ),
    inference(nnf_transformation,[],[f1448]) ).

fof(f3884,plain,
    ! [X0] :
      ( ( ! [X1] : ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X1),X0))
        | bot_bot_fun_int_bool != X0 )
      & ( bot_bot_fun_int_bool = X0
        | ? [X2] : hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X2),X0)) ) ),
    inference(rectify,[],[f3883]) ).

fof(f3885,plain,
    ! [X0] :
      ( ? [X2] : hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X2),X0))
     => hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,sK24(X0)),X0)) ),
    introduced(choice_axiom,[]) ).

fof(f3886,plain,
    ! [X0] :
      ( ( ! [X1] : ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X1),X0))
        | bot_bot_fun_int_bool != X0 )
      & ( bot_bot_fun_int_bool = X0
        | hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,sK24(X0)),X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f3884,f3885]) ).

fof(f3915,plain,
    ! [X0] :
      ( ( hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X0))
        | ~ hBOOL(bot_bot_bool) )
      & ( hBOOL(bot_bot_bool)
        | ~ hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X0)) ) ),
    inference(nnf_transformation,[],[f1507]) ).

fof(f3959,plain,
    ! [X0] :
      ( ( hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X0))
        | ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X0),bot_bot_fun_int_bool)) )
      & ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X0),bot_bot_fun_int_bool))
        | ~ hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X0)) ) ),
    inference(nnf_transformation,[],[f1539]) ).

fof(f3978,plain,
    ! [X0,X1] :
      ( ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X0),X1))
        | ~ hBOOL(hAPP_int_bool(X1,X0)) )
      & ( hBOOL(hAPP_int_bool(X1,X0))
        | ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X0),X1)) ) ),
    inference(nnf_transformation,[],[f1595]) ).

fof(f4268,plain,
    ! [X0] :
      ( ( ( hBOOL(X0)
          | ~ hBOOL(bot_bot_bool) )
        & ( hBOOL(bot_bot_bool)
          | ~ hBOOL(X0) ) )
      | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X0),bot_bot_bool)) ),
    inference(nnf_transformation,[],[f3546]) ).

fof(f4495,plain,
    is_bool(bot_bot_bool),
    inference(cnf_transformation,[],[f22]) ).

fof(f4496,plain,
    is_bool(fFalse),
    inference(cnf_transformation,[],[f23]) ).

fof(f4503,plain,
    ! [X0,X1] : is_bool(hAPP_f1695230391l_bool(X0,X1)),
    inference(cnf_transformation,[],[f30]) ).

fof(f4509,plain,
    ! [X0] : hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),bot_bo797238721a_bool)),
    inference(cnf_transformation,[],[f1401]) ).

fof(f4516,plain,
    ! [X2,X3,X0,X1,X4] :
      ( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X4),X2,X3)),bot_bo797238721a_bool)))
      | hBOOL(X4) ),
    inference(cnf_transformation,[],[f2750]) ).

fof(f4524,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X1,X4,X0)),bot_bo797238721a_bool)))
      | hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK10(X0,X1,X3,X5)),sK11(X0,X1,X3,X5)))
      | ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X3,X4,X5)),bot_bo797238721a_bool))) ),
    inference(cnf_transformation,[],[f3838]) ).

fof(f4540,plain,
    ! [X0] : hAPP_f20753329a_bool(collec351493750iple_a,hAPP_H426895267a_bool(fequal963300192iple_a,X0)) = hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,X0),bot_bo797238721a_bool),
    inference(cnf_transformation,[],[f1420]) ).

fof(f4580,plain,
    ! [X0] :
      ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,sK21(X0)),X0))
      | bot_bot_fun_int_bool = X0 ),
    inference(cnf_transformation,[],[f3874]) ).

fof(f4582,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP_f1695230391l_bool(hAPP_H622608077l_bool(member1797258804iple_a,X1),X0))
      | bot_bo797238721a_bool != X0 ),
    inference(cnf_transformation,[],[f3878]) ).

fof(f4586,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X1),X0))
      | bot_bot_fun_int_bool != X0 ),
    inference(cnf_transformation,[],[f3886]) ).

fof(f4588,plain,
    bot_bot_fun_int_bool = hAPP_f1805168059t_bool(collect_int,hAPP_b396694332t_bool(cOMBK_bool_int,fFalse)),
    inference(cnf_transformation,[],[f85]) ).

fof(f4686,plain,
    ! [X0] :
      ( hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X0))
      | ~ hBOOL(bot_bot_bool) ),
    inference(cnf_transformation,[],[f3915]) ).

fof(f4740,plain,
    ! [X0] :
      ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X0),bot_bot_fun_int_bool))
      | ~ hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X0)) ),
    inference(cnf_transformation,[],[f3959]) ).

fof(f4812,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP_int_bool(X1,X0))
      | ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X0),X1)) ),
    inference(cnf_transformation,[],[f3978]) ).

fof(f4814,plain,
    ! [X0] : hAPP_f1805168059t_bool(collect_int,X0) = X0,
    inference(cnf_transformation,[],[f1596]) ).

fof(f4815,plain,
    ! [X0] : hAPP_f20753329a_bool(collec351493750iple_a,X0) = X0,
    inference(cnf_transformation,[],[f1597]) ).

fof(f5694,plain,
    ! [X0] :
      ( hBOOL(X0)
      | ~ hBOOL(bot_bot_bool)
      | ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X0),bot_bot_bool)) ),
    inference(cnf_transformation,[],[f4268]) ).

fof(f6257,plain,
    ! [X0] :
      ( fFalse = X0
      | fTrue = X0
      | ~ is_bool(X0) ),
    inference(cnf_transformation,[],[f3815]) ).

fof(f6270,plain,
    ! [X0,X1] :
      ( hAPP_int_bool(hAPP_b396694332t_bool(cOMBK_bool_int,X0),X1) = X0
      | ~ is_bool(X0) ),
    inference(cnf_transformation,[],[f3816]) ).

fof(f6272,plain,
    ! [X0,X1] :
      ( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0
      | ~ is_bool(X0) ),
    inference(cnf_transformation,[],[f3818]) ).

fof(f6295,plain,
    ! [X0,X1] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1) = X0,
    inference(cnf_transformation,[],[f2631]) ).

fof(f6407,plain,
    ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))),
    inference(cnf_transformation,[],[f2743]) ).

fof(f6420,plain,
    ! [X1] : ~ hBOOL(hAPP_f1695230391l_bool(hAPP_H622608077l_bool(member1797258804iple_a,X1),bot_bo797238721a_bool)),
    inference(equality_resolution,[],[f4582]) ).

fof(f6422,plain,
    ! [X1] : ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X1),bot_bot_fun_int_bool)),
    inference(equality_resolution,[],[f4586]) ).

cnf(c_70,plain,
    is_bool(bot_bot_bool),
    inference(cnf_transformation,[],[f4495]) ).

cnf(c_71,plain,
    is_bool(fFalse),
    inference(cnf_transformation,[],[f4496]) ).

cnf(c_78,plain,
    is_bool(hAPP_f1695230391l_bool(X0,X1)),
    inference(cnf_transformation,[],[f4503]) ).

cnf(c_84,plain,
    hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),bot_bo797238721a_bool)),
    inference(cnf_transformation,[],[f4509]) ).

cnf(c_91,plain,
    ( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X2),X3,X4)),bot_bo797238721a_bool)))
    | hBOOL(X2) ),
    inference(cnf_transformation,[],[f4516]) ).

cnf(c_100,plain,
    ( ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X1,X2,X3)),bot_bo797238721a_bool)))
    | hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X4,sK10(X5,X4,X1,X3)),sK11(X5,X4,X1,X3)))
    | hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X4,X2,X5)),bot_bo797238721a_bool))) ),
    inference(cnf_transformation,[],[f4524]) ).

cnf(c_114,plain,
    hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,X0),bot_bo797238721a_bool) = hAPP_f20753329a_bool(collec351493750iple_a,hAPP_H426895267a_bool(fequal963300192iple_a,X0)),
    inference(cnf_transformation,[],[f4540]) ).

cnf(c_153,plain,
    ( X0 = bot_bot_fun_int_bool
    | hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,sK21(X0)),X0)) ),
    inference(cnf_transformation,[],[f4580]) ).

cnf(c_155,plain,
    ~ hBOOL(hAPP_f1695230391l_bool(hAPP_H622608077l_bool(member1797258804iple_a,X0),bot_bo797238721a_bool)),
    inference(cnf_transformation,[],[f6420]) ).

cnf(c_159,plain,
    ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X0),bot_bot_fun_int_bool)),
    inference(cnf_transformation,[],[f6422]) ).

cnf(c_162,plain,
    hAPP_f1805168059t_bool(collect_int,hAPP_b396694332t_bool(cOMBK_bool_int,fFalse)) = bot_bot_fun_int_bool,
    inference(cnf_transformation,[],[f4588]) ).

cnf(c_256,plain,
    ( ~ hBOOL(bot_bot_bool)
    | hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X0)) ),
    inference(cnf_transformation,[],[f4686]) ).

cnf(c_311,plain,
    ( ~ hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X0))
    | hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X0),bot_bot_fun_int_bool)) ),
    inference(cnf_transformation,[],[f4740]) ).

cnf(c_383,plain,
    ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X0),X1))
    | hBOOL(hAPP_int_bool(X1,X0)) ),
    inference(cnf_transformation,[],[f4812]) ).

cnf(c_384,plain,
    hAPP_f1805168059t_bool(collect_int,X0) = X0,
    inference(cnf_transformation,[],[f4814]) ).

cnf(c_385,plain,
    hAPP_f20753329a_bool(collec351493750iple_a,X0) = X0,
    inference(cnf_transformation,[],[f4815]) ).

cnf(c_1234,plain,
    ( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X0),bot_bot_bool))
    | ~ hBOOL(bot_bot_bool)
    | hBOOL(X0) ),
    inference(cnf_transformation,[],[f5694]) ).

cnf(c_1787,plain,
    ( ~ is_bool(X0)
    | X0 = fFalse
    | X0 = fTrue ),
    inference(cnf_transformation,[],[f6257]) ).

cnf(c_1800,plain,
    ( ~ is_bool(X0)
    | hAPP_int_bool(hAPP_b396694332t_bool(cOMBK_bool_int,X0),X1) = X0 ),
    inference(cnf_transformation,[],[f6270]) ).

cnf(c_1802,plain,
    ( ~ is_bool(X0)
    | hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0 ),
    inference(cnf_transformation,[],[f6272]) ).

cnf(c_1825,plain,
    hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1) = X0,
    inference(cnf_transformation,[],[f6295]) ).

cnf(c_1937,negated_conjecture,
    ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))),
    inference(cnf_transformation,[],[f6407]) ).

cnf(c_3276,plain,
    ~ hBOOL(bot_bot_bool),
    inference(global_subsumption_just,[status(thm)],[c_1234,c_256,c_159,c_311]) ).

cnf(c_3727,plain,
    ( hBOOL(X2)
    | hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X2),X3,X4)),bot_bo797238721a_bool))) ),
    inference(prop_impl_just,[status(thm)],[c_91]) ).

cnf(c_3728,plain,
    ( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X2),X3,X4)),bot_bo797238721a_bool)))
    | hBOOL(X2) ),
    inference(renaming,[status(thm)],[c_3727]) ).

cnf(c_13552,plain,
    hAPP_b396694332t_bool(cOMBK_bool_int,fFalse) = bot_bot_fun_int_bool,
    inference(demodulation,[status(thm)],[c_162,c_384]) ).

cnf(c_13879,plain,
    hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,X0),bot_bo797238721a_bool) = hAPP_H426895267a_bool(fequal963300192iple_a,X0),
    inference(demodulation,[status(thm)],[c_114,c_385]) ).

cnf(c_17253,plain,
    ( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X2),X3,X4))))
    | hBOOL(X2) ),
    inference(demodulation,[status(thm)],[c_3728,c_13879]) ).

cnf(c_18158,plain,
    ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))))),
    inference(demodulation,[status(thm)],[c_1937,c_13879]) ).

cnf(c_18700,plain,
    ( ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(X1,X2,X3))))
    | hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X4,sK10(X5,X4,X1,X3)),sK11(X5,X4,X1,X3)))
    | hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(X4,X2,X5)))) ),
    inference(demodulation,[status(thm)],[c_100,c_13879]) ).

cnf(c_37616,plain,
    ( hBOOL(X2)
    | hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X2),X3,X4)))) ),
    inference(prop_impl_just,[status(thm)],[c_17253]) ).

cnf(c_37617,plain,
    ( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X2),X3,X4))))
    | hBOOL(X2) ),
    inference(renaming,[status(thm)],[c_37616]) ).

cnf(c_80175,plain,
    ( X0 = bot_bot_fun_int_bool
    | hBOOL(hAPP_int_bool(X0,sK21(X0))) ),
    inference(superposition,[status(thm)],[c_153,c_383]) ).

cnf(c_80588,plain,
    hAPP_int_bool(hAPP_b396694332t_bool(cOMBK_bool_int,bot_bot_bool),X0) = bot_bot_bool,
    inference(superposition,[status(thm)],[c_70,c_1800]) ).

cnf(c_80589,plain,
    hAPP_int_bool(hAPP_b396694332t_bool(cOMBK_bool_int,fFalse),X0) = fFalse,
    inference(superposition,[status(thm)],[c_71,c_1800]) ).

cnf(c_80602,plain,
    hAPP_int_bool(bot_bot_fun_int_bool,X0) = fFalse,
    inference(light_normalisation,[status(thm)],[c_80589,c_13552]) ).

cnf(c_80668,plain,
    ( hAPP_b396694332t_bool(cOMBK_bool_int,bot_bot_bool) = bot_bot_fun_int_bool
    | hBOOL(bot_bot_bool) ),
    inference(superposition,[status(thm)],[c_80588,c_80175]) ).

cnf(c_80671,plain,
    hAPP_b396694332t_bool(cOMBK_bool_int,bot_bot_bool) = bot_bot_fun_int_bool,
    inference(forward_subsumption_resolution,[status(thm)],[c_80668,c_3276]) ).

cnf(c_80673,plain,
    hAPP_int_bool(bot_bot_fun_int_bool,X0) = bot_bot_bool,
    inference(demodulation,[status(thm)],[c_80588,c_80671]) ).

cnf(c_80674,plain,
    bot_bot_bool = fFalse,
    inference(light_normalisation,[status(thm)],[c_80673,c_80602]) ).

cnf(c_80677,plain,
    ( ~ is_bool(X0)
    | X0 = bot_bot_bool
    | X0 = fTrue ),
    inference(demodulation,[status(thm)],[c_1787,c_80674]) ).

cnf(c_80684,plain,
    ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))))),
    inference(demodulation,[status(thm)],[c_18158,c_80674]) ).

cnf(c_80807,plain,
    hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool),X0) = bot_bot_bool,
    inference(superposition,[status(thm)],[c_70,c_1802]) ).

cnf(c_81613,plain,
    ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK10(X1,X0,hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X2))),X3),X4)),sK11(X1,X0,hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X2))),X3),X4)))
    | hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X5),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(X0,X6,X1))))
    | hBOOL(X3) ),
    inference(superposition,[status(thm)],[c_37617,c_18700]) ).

cnf(c_83334,plain,
    ( hAPP_f1695230391l_bool(X0,X1) = bot_bot_bool
    | hAPP_f1695230391l_bool(X0,X1) = fTrue ),
    inference(superposition,[status(thm)],[c_78,c_80677]) ).

cnf(c_98199,plain,
    ( hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),bot_bo797238721a_bool) = bot_bot_bool
    | hBOOL(fTrue) ),
    inference(superposition,[status(thm)],[c_83334,c_84]) ).

cnf(c_98258,plain,
    ( ~ hBOOL(fTrue)
    | hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b))))) = bot_bot_bool ),
    inference(superposition,[status(thm)],[c_83334,c_80684]) ).

cnf(c_99113,plain,
    ( hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b))))) = bot_bot_bool
    | hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),bot_bo797238721a_bool) = bot_bot_bool ),
    inference(superposition,[status(thm)],[c_98199,c_98258]) ).

cnf(c_99841,plain,
    ( hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b))))) = bot_bot_bool
    | hBOOL(bot_bot_bool) ),
    inference(superposition,[status(thm)],[c_99113,c_84]) ).

cnf(c_99874,plain,
    hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b))))) = bot_bot_bool,
    inference(forward_subsumption_resolution,[status(thm)],[c_99841,c_3276]) ).

cnf(c_104050,plain,
    ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),sK10(hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)),hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X0))),X1),X2)),sK11(hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)),hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X0))),X1),X2)))
    | hBOOL(X1)
    | hBOOL(bot_bot_bool) ),
    inference(superposition,[status(thm)],[c_99874,c_81613]) ).

cnf(c_104146,plain,
    ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),sK10(hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)),hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X0))),X1),X2)),sK11(hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)),hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X0))),X1),X2)))
    | hBOOL(X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_104050,c_3276]) ).

cnf(c_104466,plain,
    ( hBOOL(X0)
    | hBOOL(bot_bot_bool) ),
    inference(demodulation,[status(thm)],[c_104146,c_1825,c_80807]) ).

cnf(c_104467,plain,
    hBOOL(X0),
    inference(forward_subsumption_resolution,[status(thm)],[c_104466,c_3276]) ).

cnf(c_104468,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_155,c_104467]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15  % Problem  : SWW470+3 : TPTP v8.1.2. Released v5.3.0.
% 0.08/0.15  % Command  : run_iprover %s %d THM
% 0.12/0.36  % Computer : n031.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8042.1875MB
% 0.12/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36  % CPULimit : 300
% 0.12/0.36  % WCLimit  : 300
% 0.12/0.36  % DateTime : Sun Aug 27 19:49:54 EDT 2023
% 0.12/0.36  % CPUTime  : 
% 0.18/0.49  Running first-order theorem proving
% 0.18/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 51.08/8.26  % SZS status Started for theBenchmark.p
% 51.08/8.26  % SZS status Theorem for theBenchmark.p
% 51.08/8.26  
% 51.08/8.26  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 51.08/8.26  
% 51.08/8.26  ------  iProver source info
% 51.08/8.26  
% 51.08/8.26  git: date: 2023-05-31 18:12:56 +0000
% 51.08/8.26  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 51.08/8.26  git: non_committed_changes: false
% 51.08/8.26  git: last_make_outside_of_git: false
% 51.08/8.26  
% 51.08/8.26  ------ Parsing...
% 51.08/8.26  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 51.08/8.26  
% 51.08/8.26  ------ Preprocessing... sup_sim: 298  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 51.08/8.26  
% 51.08/8.26  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 51.08/8.26  
% 51.08/8.26  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 51.08/8.26  ------ Proving...
% 51.08/8.26  ------ Problem Properties 
% 51.08/8.26  
% 51.08/8.26  
% 51.08/8.26  clauses                                 1432
% 51.08/8.26  conjectures                             0
% 51.08/8.26  EPR                                     9
% 51.08/8.26  Horn                                    1118
% 51.08/8.26  unary                                   443
% 51.08/8.26  binary                                  516
% 51.08/8.26  lits                                    3102
% 51.08/8.26  lits eq                                 964
% 51.08/8.26  fd_pure                                 0
% 51.08/8.26  fd_pseudo                               0
% 51.08/8.26  fd_cond                                 89
% 51.08/8.26  fd_pseudo_cond                          101
% 51.08/8.26  AC symbols                              0
% 51.08/8.26  
% 51.08/8.26  ------ Schedule dynamic 5 is on 
% 51.08/8.26  
% 51.08/8.26  ------ no conjectures: strip conj schedule 
% 51.08/8.26  
% 51.08/8.26  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 51.08/8.26  
% 51.08/8.26  
% 51.08/8.26  ------ 
% 51.08/8.26  Current options:
% 51.08/8.26  ------ 
% 51.08/8.26  
% 51.08/8.26  
% 51.08/8.26  
% 51.08/8.26  
% 51.08/8.26  ------ Proving...
% 51.08/8.26  
% 51.08/8.26  
% 51.08/8.26  % SZS status Theorem for theBenchmark.p
% 51.08/8.26  
% 51.08/8.26  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 51.08/8.26  
% 51.08/8.27  
%------------------------------------------------------------------------------