TSTP Solution File: SWW470_1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWW470_1 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 00:39:13 EDT 2023

% Result   : Theorem 17.23s 3.19s
% Output   : CNFRefutation 17.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   87 (  37 unt;   0 typ;   0 def)
%            Number of atoms       :  644 (  28 equ)
%            Maximal formula atoms :    4 (   7 avg)
%            Number of connectives :  136 (  54   ~;  50   |;  12   &)
%                                         (   8 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  475 ( 475 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   56 (  54 usr;  25 prp; 0-3 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :  193 (  42 sgn; 105   !;   9   ?; 114   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f5,axiom,
    ! [X0: fun_Ho1877127206a_bool,X10: fun_a_fun_state_bool,X11: com,X12: fun_a_fun_state_bool,X13: bool] :
      ( ( hBOOL(X13)
       => hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X10,X11,X12)),bot_bo1208640912a_bool))) )
     => hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X10))),X13),X11,X12)),bot_bo1208640912a_bool))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_constant) ).

tff(f8,axiom,
    ! [X10: fun_a_fun_state_bool,X0: fun_Ho1877127206a_bool,X17: fun_a_fun_state_bool,X11: com,X12: fun_a_fun_state_bool] :
      ( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X17,X11,X12)),bot_bo1208640912a_bool)))
     => ( ! [X14: x_a,X15: state] :
            ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X10,X14),X15))
           => hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X17,X14),X15)) )
       => hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X10,X11,X12)),bot_bo1208640912a_bool))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_conseq1) ).

tff(f13,axiom,
    ! [X20: hoare_1927711152iple_a] : ( collec829051333iple_a(hAPP_H1027145665a_bool(fequal1440857775iple_a,X20)) = hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X20),bot_bo1208640912a_bool) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_singleton__conv2) ).

tff(f22,axiom,
    ! [X22: fun_Ho1877127206a_bool] :
      ( ! [X24: hoare_1927711152iple_a] : ~ hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X24),X22))
    <=> ( bot_bo1208640912a_bool = X22 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_all__not__in__conv) ).

tff(f43,axiom,
    ! [X24: hoare_1927711152iple_a] :
      ( hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,X24))
    <=> hBOOL(bot_bot_bool) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_bot__fun__def) ).

tff(f65,axiom,
    ! [X24: hoare_1927711152iple_a] :
      ( hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,X24))
    <=> hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X24),bot_bo1208640912a_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_64_bot__empty__eq) ).

tff(f74,axiom,
    ! [X25: hoare_1927711152iple_a,X22: fun_Ho1877127206a_bool] :
      ( hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X25),X22))
    <=> hBOOL(hAPP_H1448631928a_bool(X22,X25)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_mem__def) ).

tff(f75,axiom,
    ! [X10: fun_Ho1877127206a_bool] : ( collec829051333iple_a(X10) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_Collect__def) ).

tff(f104,axiom,
    ~ hBOOL(fFalse),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).

tff(f111,axiom,
    ! [X54: bool,X55: state] : ( hAPP_state_bool(cOMBK_bool_state(X54),X55) = X54 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) ).

tff(f112,axiom,
    ! [X54: fun_state_bool,X55: x_a] : ( hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X54),X55) = X54 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U) ).

tff(f135,conjecture,
    hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1208640912a_bool))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f136,negated_conjecture,
    ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1208640912a_bool))),
    inference(negated_conjecture,[],[f135]) ).

tff(f140,plain,
    ! [X0: fun_Ho1877127206a_bool,X1: fun_a_fun_state_bool,X2: com,X3: fun_a_fun_state_bool,X4: bool] :
      ( ( hBOOL(X4)
       => hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X1,X2,X3)),bot_bo1208640912a_bool))) )
     => hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X1))),X4),X2,X3)),bot_bo1208640912a_bool))) ),
    inference(rectify,[],[f5]) ).

tff(f143,plain,
    ! [X0: fun_a_fun_state_bool,X1: fun_Ho1877127206a_bool,X2: fun_a_fun_state_bool,X3: com,X4: fun_a_fun_state_bool] :
      ( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X2,X3,X4)),bot_bo1208640912a_bool)))
     => ( ! [X5: x_a,X6: state] :
            ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X5),X6))
           => hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,X5),X6)) )
       => hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X0,X3,X4)),bot_bo1208640912a_bool))) ) ),
    inference(rectify,[],[f8]) ).

tff(f148,plain,
    ! [X0: hoare_1927711152iple_a] : ( collec829051333iple_a(hAPP_H1027145665a_bool(fequal1440857775iple_a,X0)) = hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),bot_bo1208640912a_bool) ),
    inference(rectify,[],[f13]) ).

tff(f157,plain,
    ! [X0: fun_Ho1877127206a_bool] :
      ( ! [X1: hoare_1927711152iple_a] : ~ hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X1),X0))
    <=> ( bot_bo1208640912a_bool = X0 ) ),
    inference(rectify,[],[f22]) ).

tff(f177,plain,
    ! [X0: hoare_1927711152iple_a] :
      ( hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,X0))
    <=> hBOOL(bot_bot_bool) ),
    inference(rectify,[],[f43]) ).

tff(f199,plain,
    ! [X0: hoare_1927711152iple_a] :
      ( hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,X0))
    <=> hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X0),bot_bo1208640912a_bool)) ),
    inference(rectify,[],[f65]) ).

tff(f207,plain,
    ! [X0: hoare_1927711152iple_a,X1: fun_Ho1877127206a_bool] :
      ( hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X0),X1))
    <=> hBOOL(hAPP_H1448631928a_bool(X1,X0)) ),
    inference(rectify,[],[f74]) ).

tff(f208,plain,
    ! [X0: fun_Ho1877127206a_bool] : ( collec829051333iple_a(X0) = X0 ),
    inference(rectify,[],[f75]) ).

tff(f243,plain,
    ! [X0: bool,X1: state] : ( hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0 ),
    inference(rectify,[],[f111]) ).

tff(f244,plain,
    ! [X0: fun_state_bool,X1: x_a] : ( hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X0),X1) = X0 ),
    inference(rectify,[],[f112]) ).

tff(f267,plain,
    ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1208640912a_bool))),
    inference(flattening,[],[f136]) ).

tff(f272,plain,
    ! [X0: fun_Ho1877127206a_bool,X1: fun_a_fun_state_bool,X2: com,X3: fun_a_fun_state_bool,X4: bool] :
      ( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X1))),X4),X2,X3)),bot_bo1208640912a_bool)))
      | ( ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X1,X2,X3)),bot_bo1208640912a_bool)))
        & hBOOL(X4) ) ),
    inference(ennf_transformation,[],[f140]) ).

tff(f276,plain,
    ! [X0: fun_a_fun_state_bool,X1: fun_Ho1877127206a_bool,X2: fun_a_fun_state_bool,X3: com,X4: fun_a_fun_state_bool] :
      ( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X0,X3,X4)),bot_bo1208640912a_bool)))
      | ? [X5: x_a,X6: state] :
          ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,X5),X6))
          & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X5),X6)) )
      | ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X2,X3,X4)),bot_bo1208640912a_bool))) ),
    inference(ennf_transformation,[],[f143]) ).

tff(f277,plain,
    ! [X0: fun_a_fun_state_bool,X1: fun_Ho1877127206a_bool,X2: fun_a_fun_state_bool,X3: com,X4: fun_a_fun_state_bool] :
      ( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X0,X3,X4)),bot_bo1208640912a_bool)))
      | ? [X5: x_a,X6: state] :
          ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,X5),X6))
          & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X5),X6)) )
      | ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X2,X3,X4)),bot_bo1208640912a_bool))) ),
    inference(flattening,[],[f276]) ).

tff(f345,plain,
    ! [X0: fun_a_fun_state_bool,X2: fun_a_fun_state_bool] :
      ( ? [X5: x_a,X6: state] :
          ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,X5),X6))
          & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X5),X6)) )
     => ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,sK5(X0,X2)),sK6(X0,X2)))
        & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK5(X0,X2)),sK6(X0,X2))) ) ),
    introduced(choice_axiom,[]) ).

tff(f346,plain,
    ! [X0: fun_a_fun_state_bool,X1: fun_Ho1877127206a_bool,X2: fun_a_fun_state_bool,X3: com,X4: fun_a_fun_state_bool] :
      ( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X0,X3,X4)),bot_bo1208640912a_bool)))
      | ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,sK5(X0,X2)),sK6(X0,X2)))
        & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK5(X0,X2)),sK6(X0,X2))) )
      | ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X2,X3,X4)),bot_bo1208640912a_bool))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f277,f345]) ).

tff(f362,plain,
    ! [X0: fun_Ho1877127206a_bool] :
      ( ( ! [X1: hoare_1927711152iple_a] : ~ hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X1),X0))
        | ( bot_bo1208640912a_bool != X0 ) )
      & ( ( bot_bo1208640912a_bool = X0 )
        | ? [X1: hoare_1927711152iple_a] : hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X1),X0)) ) ),
    inference(nnf_transformation,[],[f157]) ).

tff(f363,plain,
    ! [X0: fun_Ho1877127206a_bool] :
      ( ( ! [X1: hoare_1927711152iple_a] : ~ hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X1),X0))
        | ( bot_bo1208640912a_bool != X0 ) )
      & ( ( bot_bo1208640912a_bool = X0 )
        | ? [X2: hoare_1927711152iple_a] : hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X2),X0)) ) ),
    inference(rectify,[],[f362]) ).

tff(f364,plain,
    ! [X0: fun_Ho1877127206a_bool] :
      ( ? [X2: hoare_1927711152iple_a] : hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X2),X0))
     => hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,sK13(X0)),X0)) ),
    introduced(choice_axiom,[]) ).

tff(f365,plain,
    ! [X0: fun_Ho1877127206a_bool] :
      ( ( ! [X1: hoare_1927711152iple_a] : ~ hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X1),X0))
        | ( bot_bo1208640912a_bool != X0 ) )
      & ( ( bot_bo1208640912a_bool = X0 )
        | hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,sK13(X0)),X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f363,f364]) ).

tff(f375,plain,
    ! [X0: hoare_1927711152iple_a] :
      ( ( hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,X0))
        | ~ hBOOL(bot_bot_bool) )
      & ( hBOOL(bot_bot_bool)
        | ~ hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,X0)) ) ),
    inference(nnf_transformation,[],[f177]) ).

tff(f402,plain,
    ! [X0: hoare_1927711152iple_a] :
      ( ( hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,X0))
        | ~ hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X0),bot_bo1208640912a_bool)) )
      & ( hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X0),bot_bo1208640912a_bool))
        | ~ hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,X0)) ) ),
    inference(nnf_transformation,[],[f199]) ).

tff(f403,plain,
    ! [X0: hoare_1927711152iple_a,X1: fun_Ho1877127206a_bool] :
      ( ( hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X0),X1))
        | ~ hBOOL(hAPP_H1448631928a_bool(X1,X0)) )
      & ( hBOOL(hAPP_H1448631928a_bool(X1,X0))
        | ~ hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X0),X1)) ) ),
    inference(nnf_transformation,[],[f207]) ).

tff(f443,plain,
    ! [X2: com,X3: fun_a_fun_state_bool,X0: fun_Ho1877127206a_bool,X1: fun_a_fun_state_bool,X4: bool] :
      ( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X1))),X4),X2,X3)),bot_bo1208640912a_bool)))
      | hBOOL(X4) ),
    inference(cnf_transformation,[],[f272]) ).

tff(f449,plain,
    ! [X2: fun_a_fun_state_bool,X3: com,X0: fun_a_fun_state_bool,X1: fun_Ho1877127206a_bool,X4: fun_a_fun_state_bool] :
      ( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X0,X3,X4)),bot_bo1208640912a_bool)))
      | hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK5(X0,X2)),sK6(X0,X2)))
      | ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X2,X3,X4)),bot_bo1208640912a_bool))) ),
    inference(cnf_transformation,[],[f346]) ).

tff(f458,plain,
    ! [X0: hoare_1927711152iple_a] : ( collec829051333iple_a(hAPP_H1027145665a_bool(fequal1440857775iple_a,X0)) = hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),bot_bo1208640912a_bool) ),
    inference(cnf_transformation,[],[f148]) ).

tff(f473,plain,
    ! [X0: fun_Ho1877127206a_bool,X1: hoare_1927711152iple_a] :
      ( ~ hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X1),X0))
      | ( bot_bo1208640912a_bool != X0 ) ),
    inference(cnf_transformation,[],[f365]) ).

tff(f506,plain,
    ! [X0: hoare_1927711152iple_a] :
      ( hBOOL(bot_bot_bool)
      | ~ hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,X0)) ),
    inference(cnf_transformation,[],[f375]) ).

tff(f507,plain,
    ! [X0: hoare_1927711152iple_a] :
      ( hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,X0))
      | ~ hBOOL(bot_bot_bool) ),
    inference(cnf_transformation,[],[f375]) ).

tff(f543,plain,
    ! [X0: hoare_1927711152iple_a] :
      ( hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X0),bot_bo1208640912a_bool))
      | ~ hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,X0)) ),
    inference(cnf_transformation,[],[f402]) ).

tff(f555,plain,
    ! [X0: hoare_1927711152iple_a,X1: fun_Ho1877127206a_bool] :
      ( hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X0),X1))
      | ~ hBOOL(hAPP_H1448631928a_bool(X1,X0)) ),
    inference(cnf_transformation,[],[f403]) ).

tff(f556,plain,
    ! [X0: fun_Ho1877127206a_bool] : ( collec829051333iple_a(X0) = X0 ),
    inference(cnf_transformation,[],[f208]) ).

tff(f615,plain,
    ~ hBOOL(fFalse),
    inference(cnf_transformation,[],[f104]) ).

tff(f622,plain,
    ! [X0: bool,X1: state] : ( hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0 ),
    inference(cnf_transformation,[],[f243]) ).

tff(f623,plain,
    ! [X0: fun_state_bool,X1: x_a] : ( hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X0),X1) = X0 ),
    inference(cnf_transformation,[],[f244]) ).

tff(f646,plain,
    ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1208640912a_bool))),
    inference(cnf_transformation,[],[f267]) ).

tff(f653,plain,
    ! [X1: hoare_1927711152iple_a] : ~ hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X1),bot_bo1208640912a_bool)),
    inference(equality_resolution,[],[f473]) ).

cnf(c_56,plain,
    ( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0_29),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X0_18))),X0_16),X0_14,X1_18)),bot_bo1208640912a_bool)))
    | hBOOL(X0_16) ),
    inference(cnf_transformation,[],[f443]) ).

cnf(c_62,plain,
    ( ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0_29),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X0_18,X0_14,X1_18)),bot_bo1208640912a_bool)))
    | hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0_29),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X2_18,X0_14,X1_18)),bot_bo1208640912a_bool)))
    | hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2_18,sK5(X2_18,X0_18)),sK6(X2_18,X0_18))) ),
    inference(cnf_transformation,[],[f449]) ).

cnf(c_70,plain,
    hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0_17),bot_bo1208640912a_bool) = collec829051333iple_a(hAPP_H1027145665a_bool(fequal1440857775iple_a,X0_17)),
    inference(cnf_transformation,[],[f458]) ).

cnf(c_84,plain,
    ~ hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X0_17),bot_bo1208640912a_bool)),
    inference(cnf_transformation,[],[f653]) ).

cnf(c_117,plain,
    ( ~ hBOOL(bot_bot_bool)
    | hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,X0_17)) ),
    inference(cnf_transformation,[],[f507]) ).

cnf(c_118,plain,
    ( ~ hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,X0_17))
    | hBOOL(bot_bot_bool) ),
    inference(cnf_transformation,[],[f506]) ).

cnf(c_154,plain,
    ( ~ hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,X0_17))
    | hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X0_17),bot_bo1208640912a_bool)) ),
    inference(cnf_transformation,[],[f543]) ).

cnf(c_164,plain,
    ( ~ hBOOL(hAPP_H1448631928a_bool(X0_29,X0_17))
    | hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,X0_17),X0_29)) ),
    inference(cnf_transformation,[],[f555]) ).

cnf(c_166,plain,
    collec829051333iple_a(X0_29) = X0_29,
    inference(cnf_transformation,[],[f556]) ).

cnf(c_225,plain,
    ~ hBOOL(fFalse),
    inference(cnf_transformation,[],[f615]) ).

cnf(c_232,plain,
    hAPP_state_bool(cOMBK_bool_state(X0_16),X0_15) = X0_16,
    inference(cnf_transformation,[],[f622]) ).

cnf(c_233,plain,
    hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X0_22),X0_13) = X0_22,
    inference(cnf_transformation,[],[f623]) ).

cnf(c_256,negated_conjecture,
    ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1208640912a_bool))),
    inference(cnf_transformation,[],[f646]) ).

cnf(c_271,plain,
    ( ~ hBOOL(bot_bot_bool)
    | hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,iProver_bot)) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_272,plain,
    ~ hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,iProver_bot),bot_bo1208640912a_bool)),
    inference(instantiation,[status(thm)],[c_84]) ).

cnf(c_292,plain,
    ( ~ hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,iProver_bot))
    | hBOOL(hAPP_f1454306822l_bool(hAPP_H694056973l_bool(member127332739iple_a,iProver_bot),bot_bo1208640912a_bool)) ),
    inference(instantiation,[status(thm)],[c_164]) ).

cnf(c_390,plain,
    ~ hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,X0_17)),
    inference(global_subsumption_just,[status(thm)],[c_154,c_118,c_271,c_272,c_292]) ).

cnf(c_482,plain,
    ( hBOOL(X0_16)
    | hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0_29),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X0_18))),X0_16),X0_14,X1_18)),bot_bo1208640912a_bool))) ),
    inference(prop_impl_just,[status(thm)],[c_56]) ).

cnf(c_483,plain,
    ( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0_29),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X0_18))),X0_16),X0_14,X1_18)),bot_bo1208640912a_bool)))
    | hBOOL(X0_16) ),
    inference(renaming,[status(thm)],[c_482]) ).

cnf(c_1723,plain,
    hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0_17),bot_bo1208640912a_bool) = hAPP_H1027145665a_bool(fequal1440857775iple_a,X0_17),
    inference(demodulation,[status(thm)],[c_70,c_166]) ).

cnf(c_1930,plain,
    ( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0_29),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X0_18))),X0_16),X0_14,X1_18))))
    | hBOOL(X0_16) ),
    inference(demodulation,[status(thm)],[c_483,c_1723]) ).

cnf(c_1999,plain,
    ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))))),
    inference(demodulation,[status(thm)],[c_256,c_1723]) ).

cnf(c_2080,plain,
    ( ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0_29),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(X0_18,X0_14,X1_18))))
    | hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2_18,sK5(X2_18,X0_18)),sK6(X2_18,X0_18)))
    | hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0_29),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(X2_18,X0_14,X1_18)))) ),
    inference(demodulation,[status(thm)],[c_62,c_1723]) ).

cnf(c_4000,plain,
    ( hBOOL(X0_16)
    | hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0_29),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X0_18))),X0_16),X0_14,X1_18)))) ),
    inference(prop_impl_just,[status(thm)],[c_1930]) ).

cnf(c_4001,plain,
    ( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0_29),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X0_18))),X0_16),X0_14,X1_18))))
    | hBOOL(X0_16) ),
    inference(renaming,[status(thm)],[c_4000]) ).

cnf(c_5598,plain,
    ( ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0_29),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(X0_18,X0_14,X1_18))))
    | hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2_18,sK5(X2_18,X0_18)),sK6(X2_18,X0_18)))
    | hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0_29),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(X2_18,X0_14,X1_18)))) ),
    inference(subtyping,[status(esa)],[c_2080]) ).

cnf(c_5607,plain,
    ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))))),
    inference(subtyping,[status(esa)],[c_1999]) ).

cnf(c_5613,plain,
    ( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0_29),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X0_18))),X0_16),X0_14,X1_18))))
    | hBOOL(X0_16) ),
    inference(subtyping,[status(esa)],[c_4001]) ).

cnf(c_5647,plain,
    ~ hBOOL(hAPP_H1448631928a_bool(bot_bo1208640912a_bool,X0_17)),
    inference(subtyping,[status(esa)],[c_390]) ).

cnf(c_5670,plain,
    hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X0_22),X0_61) = X0_22,
    inference(subtyping,[status(esa)],[c_233]) ).

cnf(c_5671,plain,
    hAPP_state_bool(cOMBK_bool_state(X0_16),X0_15) = X0_16,
    inference(subtyping,[status(esa)],[c_232]) ).

cnf(c_5678,plain,
    ~ hBOOL(fFalse),
    inference(subtyping,[status(esa)],[c_225]) ).

cnf(c_9614,plain,
    ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0_18,sK5(X0_18,hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X1_18))),X0_16))),sK6(X0_18,hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X1_18))),X0_16))))
    | hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0_29),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(X0_18,X0_14,X2_18))))
    | hBOOL(X0_16) ),
    inference(superposition,[status(thm)],[c_5613,c_5598]) ).

cnf(c_9761,plain,
    ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),sK5(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X0_18))),X0_16))),sK6(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(cOMBB_1348041619bool_a(cOMBC_231445413l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),X0_18))),X0_16))))
    | hBOOL(X0_16) ),
    inference(superposition,[status(thm)],[c_9614,c_5607]) ).

cnf(c_9767,plain,
    ( hBOOL(X0_16)
    | hBOOL(fFalse) ),
    inference(demodulation,[status(thm)],[c_9761,c_5671,c_5670]) ).

cnf(c_9768,plain,
    hBOOL(X0_16),
    inference(forward_subsumption_resolution,[status(thm)],[c_9767,c_5678]) ).

cnf(c_9853,plain,
    $false,
    inference(superposition,[status(thm)],[c_9768,c_5647]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW470_1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sun Aug 27 22:40:43 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 17.23/3.19  % SZS status Started for theBenchmark.p
% 17.23/3.19  % SZS status Theorem for theBenchmark.p
% 17.23/3.19  
% 17.23/3.19  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 17.23/3.19  
% 17.23/3.19  ------  iProver source info
% 17.23/3.19  
% 17.23/3.19  git: date: 2023-05-31 18:12:56 +0000
% 17.23/3.19  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 17.23/3.19  git: non_committed_changes: false
% 17.23/3.19  git: last_make_outside_of_git: false
% 17.23/3.19  
% 17.23/3.19  ------ Parsing...
% 17.23/3.19  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 17.23/3.19  
% 17.23/3.19  ------ Preprocessing... sup_sim: 51  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 4  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 
% 17.23/3.19  
% 17.23/3.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 17.23/3.19  
% 17.23/3.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 17.23/3.19  ------ Proving...
% 17.23/3.19  ------ Problem Properties 
% 17.23/3.19  
% 17.23/3.19  
% 17.23/3.19  clauses                                 176
% 17.23/3.19  conjectures                             0
% 17.23/3.19  EPR                                     4
% 17.23/3.19  Horn                                    123
% 17.23/3.19  unary                                   53
% 17.23/3.19  binary                                  64
% 17.23/3.19  lits                                    383
% 17.23/3.19  lits eq                                 129
% 17.23/3.19  fd_pure                                 1
% 17.23/3.19  fd_pseudo                               0
% 17.23/3.19  fd_cond                                 18
% 17.23/3.19  fd_pseudo_cond                          25
% 17.23/3.19  AC symbols                              0
% 17.23/3.19  
% 17.23/3.19  ------ Input Options Time Limit: Unbounded
% 17.23/3.19  
% 17.23/3.19  
% 17.23/3.19  ------ 
% 17.23/3.19  Current options:
% 17.23/3.19  ------ 
% 17.23/3.19  
% 17.23/3.19  
% 17.23/3.19  
% 17.23/3.19  
% 17.23/3.19  ------ Proving...
% 17.23/3.19  
% 17.23/3.19  
% 17.23/3.19  % SZS status Theorem for theBenchmark.p
% 17.23/3.19  
% 17.23/3.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.23/3.19  
% 17.23/3.19  
%------------------------------------------------------------------------------