TSTP Solution File: SWW474_2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWW474_2 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 May  3 03:25:16 EDT 2024

% Result   : Theorem 21.24s 3.63s
% Output   : CNFRefutation 21.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   66 (  35 unt;   0 typ;   0 def)
%            Number of atoms       :  385 (  28 equ)
%            Maximal formula atoms :    4 (   5 avg)
%            Number of connectives :  107 (  49   ~;  44   |;   0   &)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  261 ( 261 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   35 (  33 usr;  17 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   69 (   7 sgn  41   !;   0   ?;  41   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f1,axiom,
    ! [X0: fun_Ho1996104121e_bool] : hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),bot_bo1715400655e_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_empty) ).

tff(f5,axiom,
    ! [X0: fun_Ho1996104121e_bool,X3: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X3),X1))
     => ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X3))
       => hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_cut) ).

tff(f54,axiom,
    ! [X12: com] :
      ( hBOOL(hoare_1239590103gleton)
     => ( hBOOL(wT_bodies)
       => ( hBOOL(hAPP_com_bool(wt,X12))
         => hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X12)),bot_bo1715400655e_bool))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_MGF) ).

tff(f178,axiom,
    ! [X11: fun_Ho1996104121e_bool] : ( hAPP_f121055253e_bool(collec1735317154_state,X11) = X11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_177_Collect__def) ).

tff(f214,axiom,
    ! [X9: hoare_1875481847_state] : ( hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,X9),bot_bo1715400655e_bool) = hAPP_f121055253e_bool(collec1735317154_state,hAPP_H117293375e_bool(fequal391417144_state,X9)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_213_singleton__conv2) ).

tff(f216,axiom,
    ! [X26: pname,X27: com] :
      ( hBOOL(wT_bodies)
     => ( ( hAPP_p799580910on_com(body,X26) = some_com(X27) )
       => hBOOL(hAPP_com_bool(wt,X27)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_215_WT__bodiesD) ).

tff(f404,axiom,
    ! [X13: hoare_1875481847_state] : ( hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,X13),bot_bo1715400655e_bool) = set_Ho691846255_state(some_H2141159592_state(X13)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_403_Option_Oset_Osimps_I2_J) ).

tff(f807,axiom,
    hBOOL(hoare_1239590103gleton),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f808,axiom,
    hBOOL(wT_bodies),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

tff(f812,axiom,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).

tff(f814,conjecture,
    hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_7) ).

tff(f815,negated_conjecture,
    ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool))),
    inference(negated_conjecture,[],[f814]) ).

tff(f819,plain,
    ! [X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool,X2: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X2))
     => ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X1))
       => hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X2)) ) ),
    inference(rectify,[],[f5]) ).

tff(f864,plain,
    ! [X0: com] :
      ( hBOOL(hoare_1239590103gleton)
     => ( hBOOL(wT_bodies)
       => ( hBOOL(hAPP_com_bool(wt,X0))
         => hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0)),bot_bo1715400655e_bool))) ) ) ),
    inference(rectify,[],[f54]) ).

tff(f984,plain,
    ! [X0: fun_Ho1996104121e_bool] : ( hAPP_f121055253e_bool(collec1735317154_state,X0) = X0 ),
    inference(rectify,[],[f178]) ).

tff(f1020,plain,
    ! [X0: hoare_1875481847_state] : ( hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,X0),bot_bo1715400655e_bool) = hAPP_f121055253e_bool(collec1735317154_state,hAPP_H117293375e_bool(fequal391417144_state,X0)) ),
    inference(rectify,[],[f214]) ).

tff(f1022,plain,
    ! [X0: pname,X1: com] :
      ( hBOOL(wT_bodies)
     => ( ( hAPP_p799580910on_com(body,X0) = some_com(X1) )
       => hBOOL(hAPP_com_bool(wt,X1)) ) ),
    inference(rectify,[],[f216]) ).

tff(f1208,plain,
    ! [X0: hoare_1875481847_state] : ( hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,X0),bot_bo1715400655e_bool) = set_Ho691846255_state(some_H2141159592_state(X0)) ),
    inference(rectify,[],[f404]) ).

tff(f1609,plain,
    ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool))),
    inference(flattening,[],[f815]) ).

tff(f1615,plain,
    ! [X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool,X2: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X2))
      | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X1))
      | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X2)) ),
    inference(ennf_transformation,[],[f819]) ).

tff(f1616,plain,
    ! [X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool,X2: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X2))
      | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X1))
      | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X2)) ),
    inference(flattening,[],[f1615]) ).

tff(f1673,plain,
    ! [X0: com] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0)),bot_bo1715400655e_bool)))
      | ~ hBOOL(hAPP_com_bool(wt,X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_1239590103gleton) ),
    inference(ennf_transformation,[],[f864]) ).

tff(f1674,plain,
    ! [X0: com] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0)),bot_bo1715400655e_bool)))
      | ~ hBOOL(hAPP_com_bool(wt,X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_1239590103gleton) ),
    inference(flattening,[],[f1673]) ).

tff(f1772,plain,
    ! [X0: pname,X1: com] :
      ( hBOOL(hAPP_com_bool(wt,X1))
      | ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
      | ~ hBOOL(wT_bodies) ),
    inference(ennf_transformation,[],[f1022]) ).

tff(f1773,plain,
    ! [X0: pname,X1: com] :
      ( hBOOL(hAPP_com_bool(wt,X1))
      | ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
      | ~ hBOOL(wT_bodies) ),
    inference(flattening,[],[f1772]) ).

tff(f2642,plain,
    ! [X0: fun_Ho1996104121e_bool] : hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),bot_bo1715400655e_bool)),
    inference(cnf_transformation,[],[f1]) ).

tff(f2646,plain,
    ! [X2: fun_Ho1996104121e_bool,X0: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X2))
      | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0),X1))
      | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X2)) ),
    inference(cnf_transformation,[],[f1616]) ).

tff(f2702,plain,
    ! [X0: com] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0)),bot_bo1715400655e_bool)))
      | ~ hBOOL(hAPP_com_bool(wt,X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_1239590103gleton) ),
    inference(cnf_transformation,[],[f1674]) ).

tff(f2890,plain,
    ! [X0: fun_Ho1996104121e_bool] : ( hAPP_f121055253e_bool(collec1735317154_state,X0) = X0 ),
    inference(cnf_transformation,[],[f984]) ).

tff(f2944,plain,
    ! [X0: hoare_1875481847_state] : ( hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,X0),bot_bo1715400655e_bool) = hAPP_f121055253e_bool(collec1735317154_state,hAPP_H117293375e_bool(fequal391417144_state,X0)) ),
    inference(cnf_transformation,[],[f1020]) ).

tff(f2947,plain,
    ! [X0: pname,X1: com] :
      ( hBOOL(hAPP_com_bool(wt,X1))
      | ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
      | ~ hBOOL(wT_bodies) ),
    inference(cnf_transformation,[],[f1773]) ).

tff(f3286,plain,
    ! [X0: hoare_1875481847_state] : ( hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,X0),bot_bo1715400655e_bool) = set_Ho691846255_state(some_H2141159592_state(X0)) ),
    inference(cnf_transformation,[],[f1208]) ).

tff(f3808,plain,
    hBOOL(hoare_1239590103gleton),
    inference(cnf_transformation,[],[f807]) ).

tff(f3809,plain,
    hBOOL(wT_bodies),
    inference(cnf_transformation,[],[f808]) ).

tff(f3813,plain,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    inference(cnf_transformation,[],[f812]) ).

tff(f3815,plain,
    ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool))),
    inference(cnf_transformation,[],[f1609]) ).

cnf(c_49,plain,
    hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0_59),bot_bo1715400655e_bool)),
    inference(cnf_transformation,[],[f2642]) ).

cnf(c_53,plain,
    ( ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0_59),X1_59))
    | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1_59),X2_59))
    | hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0_59),X2_59)) ),
    inference(cnf_transformation,[],[f2646]) ).

cnf(c_109,plain,
    ( ~ hBOOL(hAPP_com_bool(wt,X0_13))
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(hoare_1239590103gleton)
    | hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0_13)),bot_bo1715400655e_bool))) ),
    inference(cnf_transformation,[],[f2702]) ).

cnf(c_295,plain,
    hAPP_f121055253e_bool(collec1735317154_state,X0_59) = X0_59,
    inference(cnf_transformation,[],[f2890]) ).

cnf(c_349,plain,
    hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,X0_17),bot_bo1715400655e_bool) = hAPP_f121055253e_bool(collec1735317154_state,hAPP_H117293375e_bool(fequal391417144_state,X0_17)),
    inference(cnf_transformation,[],[f2944]) ).

cnf(c_352,plain,
    ( hAPP_p799580910on_com(body,X0_14) != some_com(X0_13)
    | ~ hBOOL(wT_bodies)
    | hBOOL(hAPP_com_bool(wt,X0_13)) ),
    inference(cnf_transformation,[],[f2947]) ).

cnf(c_678,plain,
    hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,X0_17),bot_bo1715400655e_bool) = set_Ho691846255_state(some_H2141159592_state(X0_17)),
    inference(cnf_transformation,[],[f3286]) ).

cnf(c_1197,plain,
    hBOOL(hoare_1239590103gleton),
    inference(cnf_transformation,[],[f3808]) ).

cnf(c_1198,plain,
    hBOOL(wT_bodies),
    inference(cnf_transformation,[],[f3809]) ).

cnf(c_1202,plain,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    inference(cnf_transformation,[],[f3813]) ).

cnf(c_1204,negated_conjecture,
    ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool))),
    inference(cnf_transformation,[],[f3815]) ).

cnf(c_1808,plain,
    ( ~ hBOOL(hAPP_com_bool(wt,X0_13))
    | hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0_13)),bot_bo1715400655e_bool))) ),
    inference(global_subsumption_just,[status(thm)],[c_109,c_1198,c_1197,c_109]) ).

cnf(c_2068,plain,
    ( ~ hBOOL(hAPP_com_bool(wt,X0_13))
    | hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0_13)),bot_bo1715400655e_bool))) ),
    inference(prop_impl_just,[status(thm)],[c_1808]) ).

cnf(c_2070,plain,
    ( hBOOL(hAPP_com_bool(wt,X0_13))
    | hAPP_p799580910on_com(body,X0_14) != some_com(X0_13) ),
    inference(prop_impl_just,[status(thm)],[c_1198,c_352]) ).

cnf(c_2071,plain,
    ( hAPP_p799580910on_com(body,X0_14) != some_com(X0_13)
    | hBOOL(hAPP_com_bool(wt,X0_13)) ),
    inference(renaming,[status(thm)],[c_2070]) ).

cnf(c_8363,plain,
    hAPP_f121055253e_bool(collec1735317154_state,hAPP_H117293375e_bool(fequal391417144_state,X0_17)) = set_Ho691846255_state(some_H2141159592_state(X0_17)),
    inference(light_normalisation,[status(thm)],[c_349,c_678]) ).

cnf(c_8364,plain,
    set_Ho691846255_state(some_H2141159592_state(X0_17)) = hAPP_H117293375e_bool(fequal391417144_state,X0_17),
    inference(demodulation,[status(thm)],[c_8363,c_295]) ).

cnf(c_8388,plain,
    ( ~ hBOOL(hAPP_com_bool(wt,X0_13))
    | hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_H117293375e_bool(fequal391417144_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0_13)))) ),
    inference(demodulation,[status(thm)],[c_2068,c_678,c_8364]) ).

cnf(c_8425,plain,
    ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_H117293375e_bool(fequal391417144_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)))),
    inference(demodulation,[status(thm)],[c_1204,c_678,c_8364]) ).

cnf(c_9316,plain,
    ( ~ hBOOL(hAPP_com_bool(wt,X0_13))
    | hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_H117293375e_bool(fequal391417144_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X0_13)))) ),
    inference(subtyping,[status(esa)],[c_8388]) ).

cnf(c_9408,plain,
    ( hAPP_p799580910on_com(body,X0_14) != some_com(X0_13)
    | hBOOL(hAPP_com_bool(wt,X0_13)) ),
    inference(subtyping,[status(esa)],[c_2071]) ).

cnf(c_9985,plain,
    ( ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0_59),X1_59))
    | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X2_59),X0_59))
    | hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X2_59),X1_59)) ),
    inference(subtyping,[status(esa)],[c_53]) ).

cnf(c_9989,plain,
    hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0_59),bot_bo1715400655e_bool)),
    inference(subtyping,[status(esa)],[c_49]) ).

cnf(c_19073,plain,
    ( ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),X0_59))
    | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X0_59),hAPP_H117293375e_bool(fequal391417144_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y))))
    | hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_H117293375e_bool(fequal391417144_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)))) ),
    inference(instantiation,[status(thm)],[c_9985]) ).

cnf(c_19074,plain,
    ( ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),bot_bo1715400655e_bool))
    | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_H117293375e_bool(fequal391417144_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y))))
    | hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_H117293375e_bool(fequal391417144_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)))) ),
    inference(instantiation,[status(thm)],[c_19073]) ).

cnf(c_19260,plain,
    hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),bot_bo1715400655e_bool)),
    inference(instantiation,[status(thm)],[c_9989]) ).

cnf(c_19345,plain,
    ( hAPP_p799580910on_com(body,X0_14) != some_com(y)
    | hBOOL(hAPP_com_bool(wt,y)) ),
    inference(instantiation,[status(thm)],[c_9408]) ).

cnf(c_19350,plain,
    ( hAPP_p799580910on_com(body,pn) != some_com(y)
    | hBOOL(hAPP_com_bool(wt,y)) ),
    inference(instantiation,[status(thm)],[c_19345]) ).

cnf(c_21524,plain,
    ( ~ hBOOL(hAPP_com_bool(wt,y))
    | hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_H117293375e_bool(fequal391417144_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)))) ),
    inference(instantiation,[status(thm)],[c_9316]) ).

cnf(c_21525,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_21524,c_19350,c_19260,c_19074,c_8425,c_1202]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SWW474_2 : TPTP v8.1.2. Released v5.3.0.
% 0.10/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n007.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31  % CPULimit : 300
% 0.16/0.31  % WCLimit  : 300
% 0.16/0.31  % DateTime : Thu May  2 22:18:35 EDT 2024
% 0.16/0.31  % CPUTime  : 
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 21.24/3.63  % SZS status Started for theBenchmark.p
% 21.24/3.63  % SZS status Theorem for theBenchmark.p
% 21.24/3.63  
% 21.24/3.63  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 21.24/3.63  
% 21.24/3.63  ------  iProver source info
% 21.24/3.63  
% 21.24/3.63  git: date: 2024-05-02 19:28:25 +0000
% 21.24/3.63  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 21.24/3.63  git: non_committed_changes: false
% 21.24/3.63  
% 21.24/3.63  ------ Parsing...
% 21.24/3.63  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 21.24/3.63  
% 21.24/3.63  ------ Preprocessing... sup_sim: 247  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 21.24/3.63  
% 21.24/3.63  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 21.24/3.63  
% 21.24/3.63  ------ Preprocessing... sf_s  rm: 1 0s  sf_e 
% 21.24/3.63  ------ Proving...
% 21.24/3.63  ------ Problem Properties 
% 21.24/3.63  
% 21.24/3.63  
% 21.24/3.63  clauses                                 873
% 21.24/3.63  conjectures                             0
% 21.24/3.63  EPR                                     6
% 21.24/3.63  Horn                                    663
% 21.24/3.63  unary                                   242
% 21.24/3.63  binary                                  317
% 21.24/3.63  lits                                    2028
% 21.24/3.63  lits eq                                 534
% 21.24/3.63  fd_pure                                 1
% 21.24/3.63  fd_pseudo                               0
% 21.24/3.63  fd_cond                                 78
% 21.24/3.63  fd_pseudo_cond                          48
% 21.24/3.63  AC symbols                              0
% 21.24/3.63  
% 21.24/3.63  ------ Input Options Time Limit: Unbounded
% 21.24/3.63  
% 21.24/3.63  
% 21.24/3.63  ------ 
% 21.24/3.63  Current options:
% 21.24/3.63  ------ 
% 21.24/3.63  
% 21.24/3.63  
% 21.24/3.63  
% 21.24/3.63  
% 21.24/3.63  ------ Proving...
% 21.24/3.63  
% 21.24/3.63  
% 21.24/3.63  % SZS status Theorem for theBenchmark.p
% 21.24/3.63  
% 21.24/3.63  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 21.24/3.63  
% 21.24/3.63  
%------------------------------------------------------------------------------