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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWW474+3 : TPTP v9.3.1. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:08:00 PM UTC 2026

% Result   : Theorem 192.37s 25.02s
% Output   : CNFRefutation 130.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   85 (  39 unt;   0 def)
%            Number of atoms       :  160 (  49 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  129 (  54   ~;  60   |;   4   &)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   35 (  35 usr;  18 con; 0-2 aty)
%            Number of variables   :   79 (  79   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f30,axiom,
    ! [B_1_1] : is_bool(is_none_com(B_1_1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f35,axiom,
    is_bool(bot_bot_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f40,axiom,
    is_bool(fFalse),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f43,axiom,
    ! [B_1_1,B_2_1] : is_bool(hAPP_com_bool(B_1_1,B_2_1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f72,hypothesis,
    ! [B_1_1,B_2_1] : is_bool(hAPP_f1378282496l_bool(B_1_1,B_2_1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f86,axiom,
    ! [G_2,G_3,Ts] :
      ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_3),Ts))
     => ( hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,G_3),G_2))
       => hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_2),Ts)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f106,axiom,
    ! [A] : hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,bot_bo784226126e_bool),A)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f149,axiom,
    ! [C] :
      ( hBOOL(hoare_1795711768gleton)
     => ( hBOOL(wT_bodies)
       => ( hBOOL(hAPP_com_bool(wt,C))
         => hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,C)),bot_bo784226126e_bool))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f195,axiom,
    bot_bo784226126e_bool = hAPP_f806699093e_bool(collec637225377_state,hAPP_b974863576e_bool(cOMBK_988866959_state,fFalse)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f323,axiom,
    ! [P_1] : hAPP_f806699093e_bool(collec637225377_state,P_1) = P_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f380,axiom,
    ! [Pn,B_4] :
      ( hBOOL(wT_bodies)
     => ( hAPP_p799580910on_com(body,Pn) = hAPP_com_option_com(some_com,B_4)
       => hBOOL(hAPP_com_bool(wt,B_4)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f606,axiom,
    ! [X_1] :
      ( hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X_1))
    <=> hBOOL(bot_bot_bool) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1205,axiom,
    ! [X_1] :
      ( hBOOL(is_none_com(X_1))
    <=> X_1 = none_com ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1290,axiom,
    ~ hBOOL(fFalse),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1291,axiom,
    ! [P] :
      ( is_bool(P)
     => ( P = fFalse
        | P = fTrue ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1352,axiom,
    ! [P,Q] :
      ( is_bool(P)
     => hAPP_H242767318e_bool(hAPP_b974863576e_bool(cOMBK_988866959_state,P),Q) = P ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1434,hypothesis,
    hBOOL(hoare_1795711768gleton),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1435,hypothesis,
    hBOOL(wT_bodies),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1439,hypothesis,
    hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1441,conjecture,
    hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1442,negated_conjecture,
    ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
    inference(negated_conjecture,[status(cth)],[f1441]) ).

fof(f1472,plain,
    ! [X0] : is_bool(is_none_com(X0)),
    inference(cnf_transformation,[status(thm)],[f30]) ).

fof(f1479,plain,
    is_bool(bot_bot_bool),
    inference(cnf_transformation,[status(thm)],[f35]) ).

fof(f1484,plain,
    is_bool(fFalse),
    inference(cnf_transformation,[status(thm)],[f40]) ).

fof(f1487,plain,
    ! [X0,X1] : is_bool(hAPP_com_bool(X0,X1)),
    inference(cnf_transformation,[status(thm)],[f43]) ).

fof(f1540,plain,
    ! [X0,X1] : is_bool(hAPP_f1378282496l_bool(X0,X1)),
    inference(cnf_transformation,[status(thm)],[f72]) ).

fof(f1563,plain,
    ! [G_2,G_3,Ts] :
      ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_2),Ts))
      | ~ hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,G_3),G_2))
      | ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_3),Ts)) ),
    inference(pre_NNF_transformation,[status(thm)],[f86]) ).

fof(f1564,plain,
    ! [G_3,Ts] :
      ( ! [G_2] :
          ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_2),Ts))
          | ~ hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,G_3),G_2)) )
      | ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(G_3),Ts)) ),
    inference(miniscoping,[status(thm)],[f1563]) ).

fof(f1565,plain,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X2),X1))
      | ~ hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,X0),X2))
      | ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X1)) ),
    inference(cnf_transformation,[status(thm)],[f1564]) ).

fof(f1614,plain,
    ! [X0] : hBOOL(hAPP_f1378282496l_bool(hAPP_f849457489l_bool(ord_le1449778818e_bool,bot_bo784226126e_bool),X0)),
    inference(cnf_transformation,[status(thm)],[f106]) ).

fof(f1733,plain,
    ! [C] :
      ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,C)),bot_bo784226126e_bool)))
      | ~ hBOOL(hAPP_com_bool(wt,C))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_1795711768gleton) ),
    inference(pre_NNF_transformation,[status(thm)],[f149]) ).

fof(f1734,plain,
    ( ! [C] :
        ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,C)),bot_bo784226126e_bool)))
        | ~ hBOOL(hAPP_com_bool(wt,C)) )
    | ~ hBOOL(wT_bodies)
    | ~ hBOOL(hoare_1795711768gleton) ),
    inference(miniscoping,[status(thm)],[f1733]) ).

fof(f1735,plain,
    ! [X0] :
      ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))
      | ~ hBOOL(hAPP_com_bool(wt,X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_1795711768gleton) ),
    inference(cnf_transformation,[status(thm)],[f1734]) ).

fof(f1889,plain,
    bot_bo784226126e_bool = hAPP_f806699093e_bool(collec637225377_state,hAPP_b974863576e_bool(cOMBK_988866959_state,fFalse)),
    inference(cnf_transformation,[status(thm)],[f195]) ).

fof(f2258,plain,
    ! [X0] : hAPP_f806699093e_bool(collec637225377_state,X0) = X0,
    inference(cnf_transformation,[status(thm)],[f323]) ).

fof(f2422,plain,
    ! [Pn,B_4] :
      ( hBOOL(hAPP_com_bool(wt,B_4))
      | hAPP_p799580910on_com(body,Pn) != hAPP_com_option_com(some_com,B_4)
      | ~ hBOOL(wT_bodies) ),
    inference(pre_NNF_transformation,[status(thm)],[f380]) ).

fof(f2423,plain,
    ( ! [B_4] :
        ( hBOOL(hAPP_com_bool(wt,B_4))
        | ! [Pn] : hAPP_p799580910on_com(body,Pn) != hAPP_com_option_com(some_com,B_4) )
    | ~ hBOOL(wT_bodies) ),
    inference(miniscoping,[status(thm)],[f2422]) ).

fof(f2424,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP_com_bool(wt,X1))
      | hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1)
      | ~ hBOOL(wT_bodies) ),
    inference(cnf_transformation,[status(thm)],[f2423]) ).

fof(f3256,plain,
    ! [X_1] :
      ( ( ~ hBOOL(bot_bot_bool)
        | hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X_1)) )
      & ( hBOOL(bot_bot_bool)
        | ~ hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X_1)) ) ),
    inference(NNF_transformation,[status(thm)],[f606]) ).

fof(f3257,plain,
    ( ( ~ hBOOL(bot_bot_bool)
      | ! [X_1] : hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X_1)) )
    & ( hBOOL(bot_bot_bool)
      | ! [X_1] : ~ hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X_1)) ) ),
    inference(miniscoping,[status(thm)],[f3256]) ).

fof(f3259,plain,
    ! [X0] :
      ( ~ hBOOL(bot_bot_bool)
      | hBOOL(hAPP_H242767318e_bool(bot_bo784226126e_bool,X0)) ),
    inference(cnf_transformation,[status(thm)],[f3257]) ).

fof(f5033,plain,
    ! [X_1] :
      ( ( X_1 != none_com
        | hBOOL(is_none_com(X_1)) )
      & ( X_1 = none_com
        | ~ hBOOL(is_none_com(X_1)) ) ),
    inference(NNF_transformation,[status(thm)],[f1205]) ).

fof(f5034,plain,
    ( ! [X_1] :
        ( X_1 != none_com
        | hBOOL(is_none_com(X_1)) )
    & ! [X_1] :
        ( X_1 = none_com
        | ~ hBOOL(is_none_com(X_1)) ) ),
    inference(miniscoping,[status(thm)],[f5033]) ).

fof(f5036,plain,
    ! [X0] :
      ( X0 != none_com
      | hBOOL(is_none_com(X0)) ),
    inference(cnf_transformation,[status(thm)],[f5034]) ).

fof(f5298,plain,
    ~ hBOOL(fFalse),
    inference(cnf_transformation,[status(thm)],[f1290]) ).

fof(f5299,plain,
    ! [P] :
      ( P = fFalse
      | P = fTrue
      | ~ is_bool(P) ),
    inference(pre_NNF_transformation,[status(thm)],[f1291]) ).

fof(f5300,plain,
    ! [X0] :
      ( X0 = fFalse
      | X0 = fTrue
      | ~ is_bool(X0) ),
    inference(cnf_transformation,[status(thm)],[f5299]) ).

fof(f5377,plain,
    ! [P,Q] :
      ( hAPP_H242767318e_bool(hAPP_b974863576e_bool(cOMBK_988866959_state,P),Q) = P
      | ~ is_bool(P) ),
    inference(pre_NNF_transformation,[status(thm)],[f1352]) ).

fof(f5378,plain,
    ! [P] :
      ( ! [Q] : hAPP_H242767318e_bool(hAPP_b974863576e_bool(cOMBK_988866959_state,P),Q) = P
      | ~ is_bool(P) ),
    inference(miniscoping,[status(thm)],[f5377]) ).

fof(f5379,plain,
    ! [X0,X1] :
      ( hAPP_H242767318e_bool(hAPP_b974863576e_bool(cOMBK_988866959_state,X0),X1) = X0
      | ~ is_bool(X0) ),
    inference(cnf_transformation,[status(thm)],[f5378]) ).

fof(f5465,plain,
    hBOOL(hoare_1795711768gleton),
    inference(cnf_transformation,[status(thm)],[f1434]) ).

fof(f5466,plain,
    hBOOL(wT_bodies),
    inference(cnf_transformation,[status(thm)],[f1435]) ).

fof(f5470,plain,
    hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
    inference(cnf_transformation,[status(thm)],[f1439]) ).

fof(f5472,plain,
    ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
    inference(cnf_transformation,[status(thm)],[f1442]) ).

fof(f5707,plain,
    hBOOL(is_none_com(none_com)),
    inference(destructive_equality_resolution,[status(thm)],[f5036]) ).

fof(f5730,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X0))
      | ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),X0)) ),
    inference(resolution,[status(thm)],[f1565,f1614]) ).

fof(f7163,plain,
    ! [X0,X1] :
      ( hAPP_f1378282496l_bool(X0,X1) = fFalse
      | hAPP_f1378282496l_bool(X0,X1) = fTrue ),
    inference(resolution,[status(thm)],[f5300,f1540]) ).

fof(f7171,plain,
    ! [X0,X1] :
      ( hAPP_com_bool(X0,X1) = fFalse
      | hAPP_com_bool(X0,X1) = fTrue ),
    inference(resolution,[status(thm)],[f5300,f1487]) ).

fof(f7184,plain,
    ! [X0] :
      ( is_none_com(X0) = fFalse
      | is_none_com(X0) = fTrue ),
    inference(resolution,[status(thm)],[f5300,f1472]) ).

fof(f7194,plain,
    ( bot_bot_bool = fFalse
    | bot_bot_bool = fTrue ),
    inference(resolution,[status(thm)],[f5300,f1479]) ).

fof(f8652,plain,
    ( is_none_com(none_com) = fFalse
    | hBOOL(fTrue) ),
    inference(paramodulation,[status(thm)],[f7184,f5707]) ).

fof(f8682,plain,
    ( hBOOL(fTrue)
    | hBOOL(fFalse) ),
    inference(paramodulation,[status(thm)],[f8652,f5707]) ).

fof(f8687,plain,
    hBOOL(fTrue),
    inference(forward_subsumption_resolution,[status(thm)],[f8682,f5298]) ).

fof(f8690,plain,
    ( bot_bot_bool = fFalse
    | hBOOL(bot_bot_bool) ),
    inference(paramodulation,[status(thm)],[f7194,f8687]) ).

fof(f10994,plain,
    bot_bo784226126e_bool = hAPP_b974863576e_bool(cOMBK_988866959_state,fFalse),
    inference(forward_demodulation,[status(thm)],[f2258,f1889]) ).

fof(f11992,plain,
    ! [X0] :
      ( hAPP_H242767318e_bool(bot_bo784226126e_bool,X0) = fFalse
      | ~ is_bool(fFalse) ),
    inference(paramodulation,[status(thm)],[f10994,f5379]) ).

fof(f11993,plain,
    ! [X0] : hAPP_H242767318e_bool(bot_bo784226126e_bool,X0) = fFalse,
    inference(forward_subsumption_resolution,[status(thm)],[f11992,f1484]) ).

fof(f11994,plain,
    ( ~ hBOOL(bot_bot_bool)
    | hBOOL(fFalse) ),
    inference(backward_demodulation,[status(thm)],[f11993,f3259]) ).

fof(f11997,plain,
    ~ hBOOL(bot_bot_bool),
    inference(forward_subsumption_resolution,[status(thm)],[f11994,f5298]) ).

fof(f12002,plain,
    bot_bot_bool = fFalse,
    inference(backward_subsumption_resolution,[status(thm)],[f8690,f11997]) ).

fof(f12964,plain,
    ! [X0,X1] :
      ( hAPP_f1378282496l_bool(X0,X1) = bot_bot_bool
      | hAPP_f1378282496l_bool(X0,X1) = fTrue ),
    inference(forward_demodulation,[status(thm)],[f12002,f7163]) ).

fof(f13128,plain,
    ( hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool)) = bot_bot_bool
    | ~ hBOOL(fTrue) ),
    inference(paramodulation,[status(thm)],[f12964,f5472]) ).

fof(f13214,plain,
    hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool)) = bot_bot_bool,
    inference(forward_subsumption_resolution,[status(thm)],[f13128,f8687]) ).

fof(f14538,plain,
    ! [X0,X1] :
      ( hAPP_com_bool(X0,X1) = bot_bot_bool
      | hAPP_com_bool(X0,X1) = fTrue ),
    inference(forward_demodulation,[status(thm)],[f12002,f7171]) ).

fof(f14569,plain,
    ! [X0] :
      ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))
      | ~ hBOOL(hAPP_com_bool(wt,X0))
      | ~ hBOOL(wT_bodies) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1735,f5465]) ).

fof(f14573,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))
      | ~ hBOOL(hAPP_com_bool(wt,X0))
      | ~ hBOOL(wT_bodies) ),
    inference(resolution,[status(thm)],[f14569,f5730]) ).

fof(f14595,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))
      | ~ hBOOL(hAPP_com_bool(wt,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f14573,f5466]) ).

fof(f14640,plain,
    ( hBOOL(bot_bot_bool)
    | ~ hBOOL(hAPP_com_bool(wt,y)) ),
    inference(paramodulation,[status(thm)],[f13214,f14595]) ).

fof(f14647,plain,
    ~ hBOOL(hAPP_com_bool(wt,y)),
    inference(forward_subsumption_resolution,[status(thm)],[f14640,f11997]) ).

fof(f14649,plain,
    ( hAPP_com_bool(wt,y) = bot_bot_bool
    | ~ hBOOL(fTrue) ),
    inference(paramodulation,[status(thm)],[f14538,f14647]) ).

fof(f14650,plain,
    hAPP_com_bool(wt,y) = bot_bot_bool,
    inference(forward_subsumption_resolution,[status(thm)],[f14649,f8687]) ).

fof(f80795,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP_com_bool(wt,X1))
      | hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2424,f5466]) ).

fof(f80796,plain,
    hBOOL(hAPP_com_bool(wt,y)),
    inference(resolution,[status(thm)],[f80795,f5470]) ).

fof(f80820,plain,
    hBOOL(bot_bot_bool),
    inference(forward_demodulation,[status(thm)],[f14650,f80796]) ).

fof(f80821,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f80820,f11997]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW474+3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.41  % Computer : n013.cluster.edu
% 0.16/0.41  % Model    : x86_64 x86_64
% 0.16/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41  % Memory   : 8046.5625MB
% 0.16/0.41  % OS       : Linux 6.8.0-71-generic
% 0.16/0.42  % CPULimit : 300
% 0.16/0.42  % WCLimit  : 300
% 0.16/0.42  % DateTime : Mon Sep 21 09:58:36 UTC 2026
% 0.16/0.42  % CPUTime  : 
% 0.38/0.63  % Drodi V4.1.1
% 192.37/25.02  % Refutation found
% 192.37/25.02  % SZS status Theorem for theBenchmark: Theorem is valid
% 192.37/25.02  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 84.14/25.20  % Elapsed time: 24.761674 seconds
% 84.14/25.20  % CPU time: 193.644304 seconds
% 84.14/25.20  % Total memory used: 797.907 MB
% 84.14/25.20  % Net memory used: 749.784 MB
%------------------------------------------------------------------------------