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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWW474+6 : TPTP v9.3.1. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n019.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 : Fri Sep 25 03:29:50 PM UTC 2026

% Result   : Theorem 121.48s 19.20s
% Output   : CNFRefutation 121.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   52 (  27 unt;   0 def)
%            Number of atoms       :   99 (  17 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   92 (  45   ~;  40   |;   0   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;  12 con; 0-4 aty)
%            Number of variables   :   75 (   0 sgn  75   !;   0   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f66,axiom,
    ! [X0,X1] : hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),bot_bot(fun(hoare_1656922687triple(X0),bool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).

fof(f70,axiom,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X2),X3))
     => ( hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X2))
       => hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).

fof(f85,axiom,
    ! [X0] :
      ( hBOOL(hoare_1924220188gleton)
     => ( hBOOL(wT_bodies)
       => ( hBOOL(hAPP(com,bool,wt,X0))
         => hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_1656922687triple(state),bool))))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_MGF) ).

fof(f126,axiom,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(fun(X0,bool),fun(X1,bool),hAPP(fun(X0,X1),fun(fun(X0,bool),fun(X1,bool)),image(X0,X1),X3),hAPP(fun(X2,bool),fun(X0,bool),hAPP(fun(X2,X0),fun(fun(X2,bool),fun(X0,bool)),image(X2,X0),X4),X5)) = hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),hAPP(fun(X2,X0),fun(X2,X1),hAPP(fun(X0,X1),fun(fun(X2,X0),fun(X2,X1)),combb(X0,X1,X2),X3),X4)),X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_image__image) ).

fof(f156,axiom,
    ! [X0,X1] : hAPP(fun(X0,bool),fun(X0,bool),collect(X0),hAPP(X0,fun(X0,bool),fequal(X0),X1)) = hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),bot_bot(fun(X0,bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_singleton__conv2) ).

fof(f158,axiom,
    ! [X0,X1] :
      ( hBOOL(wT_bodies)
     => ( hAPP(pname,option(com),body,X0) = hAPP(com,option(com),some(com),X1)
       => hBOOL(hAPP(com,bool,wt,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_WT__bodiesD) ).

fof(f615,axiom,
    hBOOL(hoare_1924220188gleton),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f616,axiom,
    hBOOL(wT_bodies),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

fof(f620,axiom,
    hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).

fof(f622,conjecture,
    hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(pname,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(pname,hoare_1656922687triple(state)),fun(fun(pname,bool),fun(hoare_1656922687triple(state),bool)),image(pname,hoare_1656922687triple(state)),hAPP(fun(pname,com),fun(pname,hoare_1656922687triple(state)),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(pname,com),fun(pname,hoare_1656922687triple(state))),combb(com,hoare_1656922687triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_1656922687triple(state),bool))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).

fof(f623,negated_conjecture,
    ~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(pname,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(pname,hoare_1656922687triple(state)),fun(fun(pname,bool),fun(hoare_1656922687triple(state),bool)),image(pname,hoare_1656922687triple(state)),hAPP(fun(pname,com),fun(pname,hoare_1656922687triple(state)),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(pname,com),fun(pname,hoare_1656922687triple(state))),combb(com,hoare_1656922687triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_1656922687triple(state),bool))))),
    inference(negated_conjecture,[status(cth)],[f622]) ).

fof(f624,plain,
    ~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(pname,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(pname,hoare_1656922687triple(state)),fun(fun(pname,bool),fun(hoare_1656922687triple(state),bool)),image(pname,hoare_1656922687triple(state)),hAPP(fun(pname,com),fun(pname,hoare_1656922687triple(state)),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(pname,com),fun(pname,hoare_1656922687triple(state))),combb(com,hoare_1656922687triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_1656922687triple(state),bool))))),
    inference(flattening,[],[f623]) ).

fof(f629,plain,
    ! [X0,X1] :
      ( ~ hBOOL(wT_bodies)
      | hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),X1)
      | hBOOL(hAPP(com,bool,wt,X1)) ),
    inference(ennf_transformation,[],[f158]) ).

fof(f630,plain,
    ! [X0,X1] :
      ( ~ hBOOL(wT_bodies)
      | hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),X1)
      | hBOOL(hAPP(com,bool,wt,X1)) ),
    inference(flattening,[],[f629]) ).

fof(f631,plain,
    ! [X0] :
      ( ~ hBOOL(hoare_1924220188gleton)
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hAPP(com,bool,wt,X0))
      | hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_1656922687triple(state),bool))))) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f632,plain,
    ! [X0] :
      ( ~ hBOOL(hoare_1924220188gleton)
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hAPP(com,bool,wt,X0))
      | hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_1656922687triple(state),bool))))) ),
    inference(flattening,[],[f631]) ).

fof(f646,plain,
    ! [X0,X1,X2,X3] :
      ( ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X2),X3))
      | ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X2))
      | hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X3)) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f647,plain,
    ! [X0,X1,X2,X3] :
      ( ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X2),X3))
      | ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X2))
      | hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X3)) ),
    inference(flattening,[],[f646]) ).

fof(f1028,plain,
    hBOOL(hoare_1924220188gleton),
    inference(cnf_transformation,[],[f615]) ).

fof(f1029,plain,
    hBOOL(wT_bodies),
    inference(cnf_transformation,[],[f616]) ).

fof(f1033,plain,
    hAPP(pname,option(com),body,pn) = hAPP(com,option(com),some(com),y),
    inference(cnf_transformation,[],[f620]) ).

fof(f1035,plain,
    ~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(pname,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(pname,hoare_1656922687triple(state)),fun(fun(pname,bool),fun(hoare_1656922687triple(state),bool)),image(pname,hoare_1656922687triple(state)),hAPP(fun(pname,com),fun(pname,hoare_1656922687triple(state)),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(pname,com),fun(pname,hoare_1656922687triple(state))),combb(com,hoare_1656922687triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_1656922687triple(state),bool))))),
    inference(cnf_transformation,[],[f624]) ).

fof(f1041,plain,
    ! [X0,X1] :
      ( ~ hBOOL(wT_bodies)
      | hAPP(pname,option(com),body,X0) != hAPP(com,option(com),some(com),X1)
      | hBOOL(hAPP(com,bool,wt,X1)) ),
    inference(cnf_transformation,[],[f630]) ).

fof(f1042,plain,
    ! [X0] :
      ( ~ hBOOL(hoare_1924220188gleton)
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hAPP(com,bool,wt,X0))
      | hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_1656922687triple(state),bool))))) ),
    inference(cnf_transformation,[],[f632]) ).

fof(f1059,plain,
    ! [X2,X3,X0,X1] :
      ( ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X2),X3))
      | ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X2))
      | hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X3)) ),
    inference(cnf_transformation,[],[f647]) ).

fof(f1063,plain,
    ! [X0,X1] : hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),bot_bot(fun(hoare_1656922687triple(X0),bool)))),
    inference(cnf_transformation,[],[f66]) ).

fof(f1208,plain,
    ! [X2,X3,X0,X1,X4,X5] : hAPP(fun(X0,bool),fun(X1,bool),hAPP(fun(X0,X1),fun(fun(X0,bool),fun(X1,bool)),image(X0,X1),X3),hAPP(fun(X2,bool),fun(X0,bool),hAPP(fun(X2,X0),fun(fun(X2,bool),fun(X0,bool)),image(X2,X0),X4),X5)) = hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),hAPP(fun(X2,X0),fun(X2,X1),hAPP(fun(X0,X1),fun(fun(X2,X0),fun(X2,X1)),combb(X0,X1,X2),X3),X4)),X5),
    inference(cnf_transformation,[],[f126]) ).

fof(f1391,plain,
    ! [X0,X1] : hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),bot_bot(fun(X0,bool))) = hAPP(fun(X0,bool),fun(X0,bool),collect(X0),hAPP(X0,fun(X0,bool),fequal(X0),X1)),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_59,plain,
    hBOOL(hoare_1924220188gleton),
    inference(cnf_transformation,[],[f1028]) ).

tcf(c_60,plain,
    hBOOL(wT_bodies),
    inference(cnf_transformation,[],[f1029]) ).

tcf(c_64,plain,
    hAPP(com,option(com),some(com),y) = hAPP(pname,option(com),body,pn),
    inference(cnf_transformation,[],[f1033]) ).

tcf(c_66,negated_conjecture,
    ~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(pname,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(pname,hoare_1656922687triple(state)),fun(fun(pname,bool),fun(hoare_1656922687triple(state),bool)),image(pname,hoare_1656922687triple(state)),hAPP(fun(pname,com),fun(pname,hoare_1656922687triple(state)),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(pname,com),fun(pname,hoare_1656922687triple(state))),combb(com,hoare_1656922687triple(state),pname),hoare_Mirabelle_MGT),body_1)),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)),bot_bot(fun(hoare_1656922687triple(state),bool))))),
    inference(cnf_transformation,[],[f1035]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i] :
      ( hBOOL(hAPP(com,bool,wt,X0))
      | ~ hBOOL(wT_bodies)
      | ( hAPP(com,option(com),some(com),X0) != hAPP(pname,option(com),body,X1) ) ),
    inference(cnf_transformation,[],[f1041]) ).

tcf(c_73,plain,
    ! [X0: $i] :
      ( hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_1656922687triple(state),bool)))))
      | ~ hBOOL(hoare_1924220188gleton)
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hAPP(com,bool,wt,X0)) ),
    inference(cnf_transformation,[],[f1042]) ).

tcf(c_90,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X3))
      | ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X2),X3))
      | ~ hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),X2)) ),
    inference(cnf_transformation,[],[f1059]) ).

tcf(c_94,plain,
    ! [X0: $i,X1: $i] : hBOOL(hAPP(fun(hoare_1656922687triple(X0),bool),bool,hAPP(fun(hoare_1656922687triple(X0),bool),fun(fun(hoare_1656922687triple(X0),bool),bool),hoare_279057269derivs(X0),X1),bot_bot(fun(hoare_1656922687triple(X0),bool)))),
    inference(cnf_transformation,[],[f1063]) ).

tcf(c_239,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : hAPP(fun(X0,bool),fun(X1,bool),hAPP(fun(X0,X1),fun(fun(X0,bool),fun(X1,bool)),image(X0,X1),hAPP(fun(X0,X2),fun(X0,X1),hAPP(fun(X2,X1),fun(fun(X0,X2),fun(X0,X1)),combb(X2,X1,X0),X3),X4)),X5) = hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),hAPP(fun(X0,bool),fun(X2,bool),hAPP(fun(X0,X2),fun(fun(X0,bool),fun(X2,bool)),image(X0,X2),X4),X5)),
    inference(cnf_transformation,[],[f1208]) ).

tcf(c_417,plain,
    ! [X0: $i,X1: $i] : hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),bot_bot(fun(X0,bool))) = hAPP(fun(X0,bool),fun(X0,bool),collect(X0),hAPP(X0,fun(X0,bool),fequal(X0),X1)),
    inference(cnf_transformation,[],[f1391]) ).

tcf(c_1005,plain,
    ! [X0: $i,X1: $i] :
      ( hBOOL(hAPP(com,bool,wt,X0))
      | ( hAPP(com,option(com),some(com),X0) != hAPP(pname,option(com),body,X1) ) ),
    inference(global_subsumption_just,[status(thm)],[c_72,c_60,c_72]) ).

tcf(c_1015,plain,
    ! [X0: $i] :
      ( hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_1656922687triple(state),bool)))))
      | ~ hBOOL(hAPP(com,bool,wt,X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_73,c_60,c_59,c_73]) ).

tcf(c_1086,plain,
    ! [X0: $i] :
      ( hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),hAPP(hoare_1656922687triple(state),fun(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool)),insert(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)),bot_bot(fun(hoare_1656922687triple(state),bool)))))
      | ~ hBOOL(hAPP(com,bool,wt,X0)) ),
    inference(prop_impl_just,[status(thm)],[c_1015]) ).

tcf(c_5276,plain,
    ! [X0: $i] :
      ( hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),collect(hoare_1656922687triple(state)),hAPP(hoare_1656922687triple(state),fun(hoare_1656922687triple(state),bool),fequal(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)))))
      | ~ hBOOL(hAPP(com,bool,wt,X0)) ),
    inference(demodulation,[status(thm)],[c_1086,c_417]) ).

tcf(c_6120,plain,
    ~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(com,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(com,bool),fun(hoare_1656922687triple(state),bool)),image(com,hoare_1656922687triple(state)),hoare_Mirabelle_MGT),hAPP(fun(pname,bool),fun(com,bool),hAPP(fun(pname,com),fun(fun(pname,bool),fun(com,bool)),image(pname,com),body_1),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body)))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),collect(hoare_1656922687triple(state)),hAPP(hoare_1656922687triple(state),fun(hoare_1656922687triple(state),bool),fequal(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y))))),
    inference(demodulation,[status(thm)],[c_66,c_239,c_417]) ).

tcf(c_6714,plain,
    ! [X0: $i,X1: $i] :
      ( hBOOL(hAPP(com,bool,wt,X0))
      | ( hAPP(com,option(com),some(com),X0) != hAPP(pname,option(com),body,X1) ) ),
    inference(prop_impl_just,[status(thm)],[c_1005]) ).

tcf(c_6718,plain,
    ! [X0: $i] :
      ( hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),collect(hoare_1656922687triple(state)),hAPP(hoare_1656922687triple(state),fun(hoare_1656922687triple(state),bool),fequal(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,X0)))))
      | ~ hBOOL(hAPP(com,bool,wt,X0)) ),
    inference(prop_impl_just,[status(thm)],[c_5276]) ).

tcf(c_19078,plain,
    ! [X0: $i] :
      ( hBOOL(hAPP(com,bool,wt,y))
      | ( hAPP(pname,option(com),body,X0) != hAPP(pname,option(com),body,pn) ) ),
    inference(superposition,[status(thm)],[c_64,c_6714]) ).

tcf(c_19086,plain,
    hBOOL(hAPP(com,bool,wt,y)),
    inference(equality_resolution,[status(thm)],[c_19078]) ).

tcf(c_34283,plain,
    ( hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),collect(hoare_1656922687triple(state)),hAPP(hoare_1656922687triple(state),fun(hoare_1656922687triple(state),bool),fequal(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)))))
    | ~ hBOOL(hAPP(com,bool,wt,y)) ),
    inference(instantiation,[status(thm)],[c_6718]) ).

tcf(c_89719,plain,
    ! [X0: $i] :
      ( hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(com,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(com,bool),fun(hoare_1656922687triple(state),bool)),image(com,hoare_1656922687triple(state)),hoare_Mirabelle_MGT),hAPP(fun(pname,bool),fun(com,bool),hAPP(fun(pname,com),fun(fun(pname,bool),fun(com,bool)),image(pname,com),body_1),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body)))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),collect(hoare_1656922687triple(state)),hAPP(hoare_1656922687triple(state),fun(hoare_1656922687triple(state),bool),fequal(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)))))
      | ~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),X0),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),collect(hoare_1656922687triple(state)),hAPP(hoare_1656922687triple(state),fun(hoare_1656922687triple(state),bool),fequal(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)))))
      | ~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(com,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(com,bool),fun(hoare_1656922687triple(state),bool)),image(com,hoare_1656922687triple(state)),hoare_Mirabelle_MGT),hAPP(fun(pname,bool),fun(com,bool),hAPP(fun(pname,com),fun(fun(pname,bool),fun(com,bool)),image(pname,com),body_1),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body)))),X0)) ),
    inference(instantiation,[status(thm)],[c_90]) ).

tcf(c_104969,plain,
    ( hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(com,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(com,bool),fun(hoare_1656922687triple(state),bool)),image(com,hoare_1656922687triple(state)),hoare_Mirabelle_MGT),hAPP(fun(pname,bool),fun(com,bool),hAPP(fun(pname,com),fun(fun(pname,bool),fun(com,bool)),image(pname,com),body_1),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body)))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),collect(hoare_1656922687triple(state)),hAPP(hoare_1656922687triple(state),fun(hoare_1656922687triple(state),bool),fequal(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)))))
    | ~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),bot_bot(fun(hoare_1656922687triple(state),bool))),hAPP(fun(hoare_1656922687triple(state),bool),fun(hoare_1656922687triple(state),bool),collect(hoare_1656922687triple(state)),hAPP(hoare_1656922687triple(state),fun(hoare_1656922687triple(state),bool),fequal(hoare_1656922687triple(state)),hAPP(com,hoare_1656922687triple(state),hoare_Mirabelle_MGT,y)))))
    | ~ hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(com,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(com,bool),fun(hoare_1656922687triple(state),bool)),image(com,hoare_1656922687triple(state)),hoare_Mirabelle_MGT),hAPP(fun(pname,bool),fun(com,bool),hAPP(fun(pname,com),fun(fun(pname,bool),fun(com,bool)),image(pname,com),body_1),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body)))),bot_bot(fun(hoare_1656922687triple(state),bool)))) ),
    inference(instantiation,[status(thm)],[c_89719]) ).

tcf(c_104970,plain,
    hBOOL(hAPP(fun(hoare_1656922687triple(state),bool),bool,hAPP(fun(hoare_1656922687triple(state),bool),fun(fun(hoare_1656922687triple(state),bool),bool),hoare_279057269derivs(state),hAPP(fun(com,bool),fun(hoare_1656922687triple(state),bool),hAPP(fun(com,hoare_1656922687triple(state)),fun(fun(com,bool),fun(hoare_1656922687triple(state),bool)),image(com,hoare_1656922687triple(state)),hoare_Mirabelle_MGT),hAPP(fun(pname,bool),fun(com,bool),hAPP(fun(pname,com),fun(fun(pname,bool),fun(com,bool)),image(pname,com),body_1),hAPP(fun(pname,option(com)),fun(pname,bool),dom(pname,com),body)))),bot_bot(fun(hoare_1656922687triple(state),bool)))),
    inference(instantiation,[status(thm)],[c_94]) ).

tcf(c_104971,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_104970,c_104969,c_34283,c_19086,c_6120]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWW474+6 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/0.43  % Computer : n019.cluster.edu
% 0.18/0.43  % Model    : x86_64 x86_64
% 0.18/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43  % Memory   : 8046.5625MB
% 0.18/0.43  % OS       : Linux 6.8.0-71-generic
% 0.18/0.43  % CPULimit : 300
% 0.18/0.43  % WCLimit  : 300
% 0.18/0.43  % DateTime : Thu Sep 24 22:35:52 UTC 2026
% 0.18/0.43  % CPUTime  : 
% 0.18/0.43  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.23/0.49  Running first-order theorem proving
% 0.23/0.49  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.50  
% 0.23/0.50  % ======== iProver multi-core TPTP/SMT =========
% 0.23/0.50  
% 0.23/0.51  % Detected problem language: tptp
% 0.23/0.52  % Proving...
% 121.48/19.20  % SZS status Started for theBenchmark.p
% 121.48/19.20  ERROR - "ProverProcess:heur/409474:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 121.48/19.20  Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 121.48/19.20  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 4 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution false --res_forward_subs subset_subsumption --res_forward_subs_resolution true --res_lit_sel pos_max --res_lit_sel_side num_var --res_ordering kbo_pred --res_passive_queue_type priority_queues --res_passive_queues "[[-num_lits];[-conj_symb;-num_symb;+num_symb]]" --res_passive_queues_freq "[15;3]" --res_prop_simpl_given false --res_prop_simpl_new true --res_sim_input true --res_time_limit 202.80 --res_to_prop_solver passive --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify   -t 0.33" --time_out_real 1.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_supx3moh/mh0fx4fg 2>> /export/starexec/sandbox2/tmp/iprover_out_supx3moh/mh0fx4fg_error
% 121.48/19.20  ERROR - "ProverProcess:heur/469571:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 121.48/19.20  Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 121.48/19.20  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 6 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3.0 --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 32 --inst_dismatching false --inst_eager_unprocessed_to_passive false --inst_eq_res_simp false --inst_learning_factor 10 --inst_learning_loop_flag true --inst_learning_start 256 --inst_lit_activity_flag true --inst_lit_sel "[+sign;-ground;-non_prol_conj_symb;-num_var]" --inst_lit_sel_side num_lit --inst_orphan_elimination true --inst_passive_queue_type list --inst_passive_queues "[[-ground;-epr]]" --inst_passive_queues_freq "[2]" --inst_prop_sim_given false --inst_prop_sim_new false --inst_restr_to_given true --inst_sel_renew solver --inst_solver_calls_frac 0.6939020527068606 --inst_solver_per_active 8 --inst_sos_flag false --inst_start_prop_sim_after_learn 9 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 2048 --prop_solver_per_cl 128 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[DemodLightNormLoopTriv;ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 640 --sup_share_score_frac 0.1 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify   -t 0.33" --time_out_real 1.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_supx3moh/ssjnjzs3 2>> /export/starexec/sandbox2/tmp/iprover_out_supx3moh/ssjnjzs3_error
% 121.48/19.20  ERROR - "ProverProcess:heur/381325:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 121.48/19.20  Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 121.48/19.20  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 1 --comb_sup_mult 3 --conj_cone_tolerance 3. --demod_completeness_check full --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[Demod;DemodLoopTriv;LightNorm;ACNormalisation]" --sup_full_triv "[]" --sup_fun_splitting true --sup_immed_bw_immed "[]" --sup_immed_bw_main "[SubsumptionRes;UnitSubsAndRes]" --sup_immed_fw_immed "[Subsumption;UnitSubsAndRes;Demod;DemodLoopTriv;LightNorm;DemodLightNormLoopTriv]" --sup_immed_fw_main "[Subsumption;SubsumptionRes;LightNorm;DemodLightNormLoopTriv]" --sup_immed_triv "[PropSubs]" --sup_indices_passive "[UnitSubsumption;NonunitSubsumption;FwDemod]" --sup_input_bw "[UnitSubsAndRes]" --sup_input_fw "[]" --sup_input_triv "[PropSubs]" --sup_iter_deepening 0 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_symb;-max_atom_input_occur];[+horn];[+bc_imp_inh;+ground;-conj_dist]]" --sup_passive_queues_freq "[3;1;25]" --sup_prop_simpl_given true --sup_prop_simpl_new false --sup_restarts_mult 8 --sup_score sim_d_gen --sup_share_max_num_cl 40 --sup_share_score_frac 0.1 --sup_smt_interval 10000 --sup_symb_ordering arity_random --sup_to_prop_solver active --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify   -t 0.33" --time_out_real 1.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_supx3moh/ruf2vw9e 2>> /export/starexec/sandbox2/tmp/iprover_out_supx3moh/ruf2vw9e_error
% 121.48/19.20  ERROR - "ProverProcess:heur/346297:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 121.48/19.20  Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 121.48/19.20  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode time_based --comb_sup_deep_mult 6 --comb_sup_mult 32 --conj_cone_tolerance 2.7380125131254 --demod_completeness_check full --demod_use_ground true --eq_ax_congr_red false --extra_neg_conj none --inst_activity_threshold 16 --inst_dismatching false --inst_eager_unprocessed_to_passive false --inst_eq_res_simp true --inst_learning_factor 6 --inst_learning_loop_flag true --inst_learning_start 1024 --inst_lit_activity_flag true --inst_lit_sel "[+depth;+sign;+num_symb;-split;-eq]" --inst_lit_sel_side cnt --inst_orphan_elimination true --inst_passive_queue_type list --inst_passive_queues "[[-num_lits];[-max_atom_input_occur;-ground]]" --inst_passive_queues_freq "[8;50]" --inst_prop_sim_given false --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 0.21724605765256222 --inst_solver_per_active 256 --inst_sos_flag true --inst_sos_phase true --inst_sos_sth_lit_sel "[-depth;+non_prol_conj_symb;-split;-ground;+num_var]" --inst_start_prop_sim_after_learn 8 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd false --prep_def_merge_prop_impl true --prep_def_merge_tr_cl true --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim false --prep_sem_filter none --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten false --prep_upred true --preprocessing_flag true --prolific_symb_bound 2048 --prop_solver_per_cl 32 --pure_diseq_elim false --resolution_flag false --schedule none --share_sel_clauses false --smt_ac_axioms full --smt_preprocessing true --splitting_cvd true --splitting_cvd_svl false --splitting_grd true --splitting_mode full --splitting_nvd 128 --stats_out none --sub_typing true --subs_bck_mult 0 --sup_full_bw "[Demod]" --sup_full_fw "[Subsumption;SubsumptionRes;UnitSubsAndRes;DemodLoopTriv;DemodLightNormLoopTriv;ACJoinability;ACNormalisation]" --sup_full_triv "[PropSubs;Unflattening]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes;Demod;ACJoinability]" --sup_immed_fw_main "[SubsumptionRes;DemodLoopTriv;DemodLightNormLoopTriv;ACJoinability;ACNormalisation]" --sup_immed_triv "[]" --sup_indices_passive "[UnitSubsumption;NonunitSubsumption;Subsumption;FwDemod;BwDemod;LightNorm]" --sup_input_bw "[]" --sup_input_fw "[]" --sup_input_triv "[PropSubs;Unflattening]" --sup_iter_deepening 4 --sup_passive_queue_type queue --sup_passive_queues "[[+num_symb]]" --sup_passive_queues_freq "[5]" --sup_prop_simpl_given true --sup_prop_simpl_new false --sup_restarts_mult 4 --sup_smt_interval 10000 --sup_symb_ordering arity_random --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.4432297345384799 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify   -t 0.33" --time_out_real 1.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_supx3moh/dn3z66i4 2>> /export/starexec/sandbox2/tmp/iprover_out_supx3moh/dn3z66i4_error
% 121.48/19.20  ERROR - "ProverProcess:heur/397442:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 121.48/19.20  Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 121.48/19.20  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 64 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 4 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp true --inst_learning_factor 8 --inst_learning_loop_flag true --inst_learning_start 2 --inst_lit_activity_flag false --inst_lit_sel "[-split]" --inst_lit_sel_side num_lit --inst_orphan_elimination false --inst_passive_queue_type priority_queues --inst_passive_queues "[[+conj_symb]]" --inst_passive_queues_freq "[50]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 0.8199321230744955 --inst_solver_per_active 4 --inst_sos_flag false --inst_start_prop_sim_after_learn 7 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify   -t 0.33" --time_out_real 1.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_supx3moh/01j406a4 2>> /export/starexec/sandbox2/tmp/iprover_out_supx3moh/01j406a4_error
% 121.48/19.20  ERROR - "ProverProcess:heur/421498:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 121.48/19.20  Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 121.48/19.20  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 8 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 512 --inst_dismatching true --inst_eager_unprocessed_to_passive false --inst_eq_res_simp true --inst_learning_factor 8 --inst_learning_loop_flag true --inst_learning_start 128 --inst_lit_activity_flag false --inst_lit_sel "[+sign;+prop]" --inst_lit_sel_side none --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[+num_symb;-age;-age];[+num_symb;+conj_non_prolific_symb]]" --inst_passive_queues_freq "[512;10]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew model --inst_solver_calls_frac 0.006221608720445637 --inst_solver_per_active 32768 --inst_sos_flag true --inst_sos_phase false --inst_sos_sth_lit_sel "[+non_prol_conj_symb;+sign;-depth;-prop]" --inst_start_prop_sim_after_learn 9 --inst_subs_given true --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify   -t 0.33" --time_out_real 1.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_supx3moh/8f7ed7kg 2>> /export/starexec/sandbox2/tmp/iprover_out_supx3moh/8f7ed7kg_error
% 121.48/19.20  % SZS status Theorem for theBenchmark.p
% 121.48/19.20  
% 121.48/19.20  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 121.48/19.20  
% 121.48/19.20  % ------  iProver source info
% 121.48/19.20  
% 121.48/19.20  % git: date: 2026-07-19 20:42:38 +0200
% 121.48/19.20  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 121.48/19.20  % git: non_committed_changes: false
% 121.48/19.20  
% 121.48/19.20  % ------ Parsing...
% 121.48/19.20  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 121.48/19.20  
% 121.48/19.20  % ------ Preprocessing... sup_sim: 123  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 % 
% 121.48/19.20  
% 121.48/19.20  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 121.48/19.20  
% 121.48/19.20  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 121.48/19.20  % ------ Proving...
% 121.48/19.20  % ------ Problem Properties 
% 121.48/19.20  
% 121.48/19.20  % 
% 121.48/19.20  % clauses                               480
% 121.48/19.20  % conjectures                           0
% 121.48/19.20  % EPR                                   4
% 121.48/19.20  % Horn                                  386
% 121.48/19.20  % unary                                 155
% 121.48/19.20  % binary                                185
% 121.48/19.20  % lits                                  996
% 121.48/19.20  % lits eq                               314
% 121.48/19.20  % fd_pure                               0
% 121.48/19.20  % fd_pseudo                             0
% 121.48/19.20  % fd_cond                               0
% 121.48/19.20  % fd_pseudo_cond                        12
% 121.48/19.20  % AC symbols                            0
% 121.48/19.20  
% 121.48/19.20  % ------ Schedule dynamic 5 is on 
% 121.48/19.20  
% 121.48/19.20  % ------ no conjectures: strip conj schedule 
% 121.48/19.20  
% 121.48/19.20  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 121.48/19.20  
% 121.48/19.20  
% 121.48/19.20  % ------ 
% 121.48/19.20  % Current options:
% 121.48/19.20  % ------ 
% 121.48/19.20  
% 121.48/19.20  
% 121.48/19.20  % 
% 121.48/19.20  
% 121.48/19.20  % ------ Proving...
% 121.48/19.20  % Proof_search_loop: time out after: 1654 full_loop iterations
% 121.48/19.20  
% 121.48/19.20  % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" stripped conjectures Time Limit: 15.
% 121.48/19.20  
% 121.48/19.20  
% 121.48/19.20  % ------ 
% 121.48/19.20  % Current options:
% 121.48/19.20  % ------ 
% 121.48/19.20  
% 121.48/19.20  
% 121.48/19.20  % 
% 121.48/19.20  
% 121.48/19.20  % ------ Proving...
% 121.48/19.20  % 
% 121.48/19.20  
% 121.48/19.20  % SZS status Theorem for theBenchmark.p
% 121.48/19.20  
% 121.48/19.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 121.48/19.20  
% 121.48/19.20  
%------------------------------------------------------------------------------