TSTP Solution File: SWW474_1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWW474_1 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 00:39:24 EDT 2023

% Result   : Theorem 7.42s 1.64s
% Output   : CNFRefutation 7.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   62 (  35 unt;   0 typ;   0 def)
%            Number of atoms       :  402 (  23 equ)
%            Maximal formula atoms :    4 (   6 avg)
%            Number of connectives :  106 (  49   ~;  43   |;   0   &)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  283 ( 283 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   35 (  33 usr;  16 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   64 (   3 sgn;  46   !;   0   ?;  46   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f1,axiom,
    ! [X0: fun_Ho734851753e_bool] : hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),bot_bo454148287e_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_empty) ).

tff(f5,axiom,
    ! [X0: fun_Ho734851753e_bool,X3: fun_Ho734851753e_bool,X1: fun_Ho734851753e_bool] :
      ( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X3),X1))
     => ( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),X3))
       => hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_cut) ).

tff(f104,axiom,
    ! [X12: com] :
      ( hBOOL(hoare_1310879719gleton)
     => ( hBOOL(wT_bodies)
       => ( hBOOL(wt(X12))
         => hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,X12),bot_bo454148287e_bool))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103_MGF) ).

tff(f188,axiom,
    ! [X9: hoare_1848483303_state,X16: fun_Ho734851753e_bool] : ( insert668001005_state(X9,X16) = collec1708318610_state(cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),X9)),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),X16))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_187_insert__compr) ).

tff(f256,axiom,
    ! [X11: fun_Ho734851753e_bool] : ( collec1708318610_state(X11) = X11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_255_Collect__def) ).

tff(f285,axiom,
    ! [X9: hoare_1848483303_state] : ( insert668001005_state(X9,bot_bo454148287e_bool) = collec1708318610_state(hAPP_H1618070847e_bool(fequal364418600_state,X9)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_284_singleton__conv2) ).

tff(f289,axiom,
    ! [X26: pname,X27: com] :
      ( hBOOL(wT_bodies)
     => ( ( hAPP_p799580910on_com(body,X26) = some_com(X27) )
       => hBOOL(wt(X27)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_288_WT__bodiesD) ).

tff(f368,axiom,
    hBOOL(hoare_1310879719gleton),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f369,axiom,
    hBOOL(wT_bodies),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

tff(f373,axiom,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).

tff(f375,conjecture,
    hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_7) ).

tff(f376,negated_conjecture,
    ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))),
    inference(negated_conjecture,[],[f375]) ).

tff(f380,plain,
    ! [X0: fun_Ho734851753e_bool,X1: fun_Ho734851753e_bool,X2: fun_Ho734851753e_bool] :
      ( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),X2))
     => ( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),X1))
       => hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),X2)) ) ),
    inference(rectify,[],[f5]) ).

tff(f473,plain,
    ! [X0: com] :
      ( hBOOL(hoare_1310879719gleton)
     => ( hBOOL(wT_bodies)
       => ( hBOOL(wt(X0))
         => hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,X0),bot_bo454148287e_bool))) ) ) ),
    inference(rectify,[],[f104]) ).

tff(f552,plain,
    ! [X0: hoare_1848483303_state,X1: fun_Ho734851753e_bool] : ( insert668001005_state(X0,X1) = collec1708318610_state(cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),X0)),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),X1))) ),
    inference(rectify,[],[f188]) ).

tff(f620,plain,
    ! [X0: fun_Ho734851753e_bool] : ( collec1708318610_state(X0) = X0 ),
    inference(rectify,[],[f256]) ).

tff(f649,plain,
    ! [X0: hoare_1848483303_state] : ( insert668001005_state(X0,bot_bo454148287e_bool) = collec1708318610_state(hAPP_H1618070847e_bool(fequal364418600_state,X0)) ),
    inference(rectify,[],[f285]) ).

tff(f653,plain,
    ! [X0: pname,X1: com] :
      ( hBOOL(wT_bodies)
     => ( ( hAPP_p799580910on_com(body,X0) = some_com(X1) )
       => hBOOL(wt(X1)) ) ),
    inference(rectify,[],[f289]) ).

tff(f730,plain,
    ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))),
    inference(flattening,[],[f376]) ).

tff(f736,plain,
    ! [X0: fun_Ho734851753e_bool,X1: fun_Ho734851753e_bool,X2: fun_Ho734851753e_bool] :
      ( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),X2))
      | ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),X1))
      | ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),X2)) ),
    inference(ennf_transformation,[],[f380]) ).

tff(f737,plain,
    ! [X0: fun_Ho734851753e_bool,X1: fun_Ho734851753e_bool,X2: fun_Ho734851753e_bool] :
      ( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),X2))
      | ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),X1))
      | ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),X2)) ),
    inference(flattening,[],[f736]) ).

tff(f850,plain,
    ! [X0: com] :
      ( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,X0),bot_bo454148287e_bool)))
      | ~ hBOOL(wt(X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_1310879719gleton) ),
    inference(ennf_transformation,[],[f473]) ).

tff(f851,plain,
    ! [X0: com] :
      ( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,X0),bot_bo454148287e_bool)))
      | ~ hBOOL(wt(X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_1310879719gleton) ),
    inference(flattening,[],[f850]) ).

tff(f978,plain,
    ! [X0: pname,X1: com] :
      ( hBOOL(wt(X1))
      | ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
      | ~ hBOOL(wT_bodies) ),
    inference(ennf_transformation,[],[f653]) ).

tff(f979,plain,
    ! [X0: pname,X1: com] :
      ( hBOOL(wt(X1))
      | ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
      | ~ hBOOL(wT_bodies) ),
    inference(flattening,[],[f978]) ).

tff(f1147,plain,
    ! [X0: fun_Ho734851753e_bool] : hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),bot_bo454148287e_bool)),
    inference(cnf_transformation,[],[f1]) ).

tff(f1151,plain,
    ! [X2: fun_Ho734851753e_bool,X0: fun_Ho734851753e_bool,X1: fun_Ho734851753e_bool] :
      ( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),X2))
      | ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0),X1))
      | ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),X2)) ),
    inference(cnf_transformation,[],[f737]) ).

tff(f1268,plain,
    ! [X0: com] :
      ( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,X0),bot_bo454148287e_bool)))
      | ~ hBOOL(wt(X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_1310879719gleton) ),
    inference(cnf_transformation,[],[f851]) ).

tff(f1386,plain,
    ! [X0: hoare_1848483303_state,X1: fun_Ho734851753e_bool] : ( insert668001005_state(X0,X1) = collec1708318610_state(cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),X0)),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),X1))) ),
    inference(cnf_transformation,[],[f552]) ).

tff(f1492,plain,
    ! [X0: fun_Ho734851753e_bool] : ( collec1708318610_state(X0) = X0 ),
    inference(cnf_transformation,[],[f620]) ).

tff(f1537,plain,
    ! [X0: hoare_1848483303_state] : ( insert668001005_state(X0,bot_bo454148287e_bool) = collec1708318610_state(hAPP_H1618070847e_bool(fequal364418600_state,X0)) ),
    inference(cnf_transformation,[],[f649]) ).

tff(f1542,plain,
    ! [X0: pname,X1: com] :
      ( hBOOL(wt(X1))
      | ( hAPP_p799580910on_com(body,X0) != some_com(X1) )
      | ~ hBOOL(wT_bodies) ),
    inference(cnf_transformation,[],[f979]) ).

tff(f1643,plain,
    hBOOL(hoare_1310879719gleton),
    inference(cnf_transformation,[],[f368]) ).

tff(f1644,plain,
    hBOOL(wT_bodies),
    inference(cnf_transformation,[],[f369]) ).

tff(f1648,plain,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    inference(cnf_transformation,[],[f373]) ).

tff(f1650,plain,
    ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))),
    inference(cnf_transformation,[],[f730]) ).

tff(f1688,plain,
    ! [X0: com] :
      ( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),collec1708318610_state(cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),hAPP_c379084956_state(hoare_Mirabelle_MGT,X0))),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),bot_bo454148287e_bool)))))
      | ~ hBOOL(wt(X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_1310879719gleton) ),
    inference(definition_unfolding,[],[f1268,f1386]) ).

tff(f1798,plain,
    ! [X0: hoare_1848483303_state] : ( collec1708318610_state(hAPP_H1618070847e_bool(fequal364418600_state,X0)) = collec1708318610_state(cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),X0)),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),bot_bo454148287e_bool))) ),
    inference(definition_unfolding,[],[f1537,f1386]) ).

tff(f1807,plain,
    ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),collec1708318610_state(cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),hAPP_c379084956_state(hoare_Mirabelle_MGT,y))),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),bot_bo454148287e_bool))))),
    inference(definition_unfolding,[],[f1650,f1386]) ).

cnf(c_49,plain,
    hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0_32),bot_bo454148287e_bool)),
    inference(cnf_transformation,[],[f1147]) ).

cnf(c_53,plain,
    ( ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0_32),X1_32))
    | ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1_32),X2_32))
    | hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0_32),X2_32)) ),
    inference(cnf_transformation,[],[f1151]) ).

cnf(c_170,plain,
    ( ~ hBOOL(wt(X0_13))
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(hoare_1310879719gleton)
    | hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),collec1708318610_state(cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),hAPP_c379084956_state(hoare_Mirabelle_MGT,X0_13))),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),bot_bo454148287e_bool))))) ),
    inference(cnf_transformation,[],[f1688]) ).

cnf(c_384,plain,
    collec1708318610_state(X0_32) = X0_32,
    inference(cnf_transformation,[],[f1492]) ).

cnf(c_429,plain,
    collec1708318610_state(cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),X0_16)),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),bot_bo454148287e_bool))) = collec1708318610_state(hAPP_H1618070847e_bool(fequal364418600_state,X0_16)),
    inference(cnf_transformation,[],[f1798]) ).

cnf(c_434,plain,
    ( hAPP_p799580910on_com(body,X0_14) != some_com(X0_13)
    | ~ hBOOL(wT_bodies)
    | hBOOL(wt(X0_13)) ),
    inference(cnf_transformation,[],[f1542]) ).

cnf(c_534,plain,
    hBOOL(hoare_1310879719gleton),
    inference(cnf_transformation,[],[f1643]) ).

cnf(c_535,plain,
    hBOOL(wT_bodies),
    inference(cnf_transformation,[],[f1644]) ).

cnf(c_539,plain,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    inference(cnf_transformation,[],[f1648]) ).

cnf(c_541,negated_conjecture,
    ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),collec1708318610_state(cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),hAPP_c379084956_state(hoare_Mirabelle_MGT,y))),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),bot_bo454148287e_bool))))),
    inference(cnf_transformation,[],[f1807]) ).

cnf(c_680,plain,
    ( hAPP_p799580910on_com(body,pn) != some_com(y)
    | ~ hBOOL(wT_bodies)
    | hBOOL(wt(y)) ),
    inference(instantiation,[status(thm)],[c_434]) ).

cnf(c_812,plain,
    ( ~ hBOOL(wt(X0_13))
    | hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),collec1708318610_state(cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),hAPP_c379084956_state(hoare_Mirabelle_MGT,X0_13))),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),bot_bo454148287e_bool))))) ),
    inference(global_subsumption_just,[status(thm)],[c_170,c_535,c_534,c_170]) ).

cnf(c_1001,plain,
    ( ~ hBOOL(wt(X0_13))
    | hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),collec1708318610_state(cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),hAPP_c379084956_state(hoare_Mirabelle_MGT,X0_13))),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),bot_bo454148287e_bool))))) ),
    inference(prop_impl_just,[status(thm)],[c_812]) ).

cnf(c_3867,plain,
    cOMBS_1990964188l_bool(cOMBB_215065709_state(fdisj,hAPP_H1618070847e_bool(cOMBC_1947058646e_bool(fequal364418600_state),X0_16)),hAPP_f617245717e_bool(cOMBC_1803918242l_bool(member591555156_state),bot_bo454148287e_bool)) = hAPP_H1618070847e_bool(fequal364418600_state,X0_16),
    inference(demodulation,[status(thm)],[c_429,c_384]) ).

cnf(c_3913,plain,
    ( ~ hBOOL(wt(X0_13))
    | hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),hAPP_H1618070847e_bool(fequal364418600_state,hAPP_c379084956_state(hoare_Mirabelle_MGT,X0_13)))) ),
    inference(demodulation,[status(thm)],[c_1001,c_384,c_3867]) ).

cnf(c_3951,plain,
    ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),hAPP_H1618070847e_bool(fequal364418600_state,hAPP_c379084956_state(hoare_Mirabelle_MGT,y)))),
    inference(demodulation,[status(thm)],[c_541,c_384,c_3867]) ).

cnf(c_4281,plain,
    ( ~ hBOOL(wt(y))
    | hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),hAPP_H1618070847e_bool(fequal364418600_state,hAPP_c379084956_state(hoare_Mirabelle_MGT,y)))) ),
    inference(instantiation,[status(thm)],[c_3913]) ).

cnf(c_10772,plain,
    ( ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0_32),X1_32))
    | ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X2_32),X0_32))
    | hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X2_32),X1_32)) ),
    inference(subtyping,[status(esa)],[c_53]) ).

cnf(c_10776,plain,
    hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0_32),bot_bo454148287e_bool)),
    inference(subtyping,[status(esa)],[c_49]) ).

cnf(c_18593,plain,
    ( ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),X0_32))
    | ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X0_32),hAPP_H1618070847e_bool(fequal364418600_state,hAPP_c379084956_state(hoare_Mirabelle_MGT,y))))
    | hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),hAPP_H1618070847e_bool(fequal364418600_state,hAPP_c379084956_state(hoare_Mirabelle_MGT,y)))) ),
    inference(instantiation,[status(thm)],[c_10772]) ).

cnf(c_18594,plain,
    ( ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),bot_bo454148287e_bool))
    | ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),hAPP_H1618070847e_bool(fequal364418600_state,hAPP_c379084956_state(hoare_Mirabelle_MGT,y))))
    | hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),hAPP_H1618070847e_bool(fequal364418600_state,hAPP_c379084956_state(hoare_Mirabelle_MGT,y)))) ),
    inference(instantiation,[status(thm)],[c_18593]) ).

cnf(c_19380,plain,
    hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),bot_bo454148287e_bool)),
    inference(instantiation,[status(thm)],[c_10776]) ).

cnf(c_19381,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_19380,c_18594,c_3951,c_4281,c_680,c_539,c_535]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWW474_1 : TPTP v8.1.2. Released v5.3.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n002.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 20:47:04 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.42/1.64  % SZS status Started for theBenchmark.p
% 7.42/1.64  % SZS status Theorem for theBenchmark.p
% 7.42/1.64  
% 7.42/1.64  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.42/1.64  
% 7.42/1.64  ------  iProver source info
% 7.42/1.64  
% 7.42/1.64  git: date: 2023-05-31 18:12:56 +0000
% 7.42/1.64  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.42/1.64  git: non_committed_changes: false
% 7.42/1.64  git: last_make_outside_of_git: false
% 7.42/1.64  
% 7.42/1.64  ------ Parsing...
% 7.42/1.64  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 7.42/1.64  
% 7.42/1.64  ------ Preprocessing... sup_sim: 175  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 34  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 
% 7.42/1.64  
% 7.42/1.64  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.42/1.64  
% 7.42/1.64  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.42/1.64  ------ Proving...
% 7.42/1.64  ------ Problem Properties 
% 7.42/1.64  
% 7.42/1.64  
% 7.42/1.64  clauses                                 403
% 7.42/1.64  conjectures                             0
% 7.42/1.64  EPR                                     4
% 7.42/1.64  Horn                                    327
% 7.42/1.64  unary                                   128
% 7.42/1.64  binary                                  182
% 7.42/1.64  lits                                    813
% 7.42/1.64  lits eq                                 229
% 7.42/1.64  fd_pure                                 1
% 7.42/1.64  fd_pseudo                               0
% 7.42/1.64  fd_cond                                 30
% 7.42/1.64  fd_pseudo_cond                          33
% 7.42/1.64  AC symbols                              0
% 7.42/1.64  
% 7.42/1.64  ------ Input Options Time Limit: Unbounded
% 7.42/1.64  
% 7.42/1.64  
% 7.42/1.64  ------ 
% 7.42/1.64  Current options:
% 7.42/1.64  ------ 
% 7.42/1.64  
% 7.42/1.64  
% 7.42/1.64  
% 7.42/1.64  
% 7.42/1.64  ------ Proving...
% 7.42/1.64  
% 7.42/1.64  
% 7.42/1.64  % SZS status Theorem for theBenchmark.p
% 7.42/1.64  
% 7.42/1.64  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.42/1.64  
% 7.42/1.65  
%------------------------------------------------------------------------------