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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWW190+1 : TPTP v9.3.1. Released v5.2.0.
% 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 03:29:13 PM UTC 2026

% Result   : Theorem 202.83s 31.27s
% Output   : CNFRefutation 202.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  144 (  58 unt;   3 def)
%            Number of atoms       :  334 (  63 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  271 ( 118   ~; 121   |;  16   &)
%                                         (   5 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  12 usr;   4 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   4 con; 0-3 aty)
%            Number of variables   :  277 (   0 sgn 266   !;  11   ?; 122   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ? [X0] :
    ! [X1] :
      ( hBOOL(hAPP(v_P,X1))
     => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_bz) ).

fof(f5,axiom,
    ! [X0,X1] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_top1I) ).

fof(f9,axiom,
    ! [X0,X1] : c_Set_OCollect(X1,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__def) ).

fof(f22,axiom,
    ! [X0,X1,X2] :
      ( c_member(X2,X1,X0)
    <=> hBOOL(hAPP(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mem__def) ).

fof(f36,axiom,
    ! [X0,X1,X2] :
      ( class_Orderings_Oorder(X2)
     => ( c_Orderings_Oord__class_Oless(X2,X1,X0)
       => ~ c_Orderings_Oord__class_Oless(X2,X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_xt1_I9_J) ).

fof(f50,axiom,
    ! [X0,X1,X2,X3] :
      ( class_Orderings_Oord(X3)
     => ( hBOOL(hAPP(c_Lubs_OisUb(X3,X2,X1),X0))
      <=> ( c_member(X3,X0,X2)
          & c_Lubs_Osetle(X3,X1,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_isUb__def) ).

fof(f101,axiom,
    ! [X0,X1,X2] :
      ( class_Orderings_Olinorder(X2)
     => ( ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
       => c_Orderings_Oord__class_Oless(X2,X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__leE) ).

fof(f125,axiom,
    ! [X0,X1,X2] :
      ( class_Orderings_Oord(X2)
     => ( ! [X3] :
            ( c_member(X2,X3,X1)
           => c_Orderings_Oord__class_Oless__eq(X2,X3,X0) )
       => hBOOL(hAPP(c_Lubs_OisUb(X2,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)),X1),X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_isUb__UNIV__I) ).

fof(f128,axiom,
    ! [X0] : c_Set_OPow(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X0,tc_HOL_Obool),tc_HOL_Obool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Pow__UNIV) ).

fof(f178,axiom,
    ! [X0,X1,X2] :
      ( class_Orderings_Obot(X2)
     => hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,X2)),X0) = c_Orderings_Obot__class_Obot(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_bot__apply) ).

fof(f184,axiom,
    ! [X0,X1] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = c_Set_OCollect(X1,X0)
    <=> ! [X2] : ~ hBOOL(hAPP(X0,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_empty__Collect__eq) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( c_Set_OCollect(X1,X0) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
    <=> ! [X2] : ~ hBOOL(hAPP(X0,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__empty__eq) ).

fof(f224,axiom,
    ! [X0,X1] :
      ( ! [X2] : c_member(X1,X2,X0)
     => c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_UNIV__eq__I) ).

fof(f1118,axiom,
    class_Orderings_Obot(tc_HOL_Obool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL__Obool__Orderings_Obot) ).

fof(f1169,axiom,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Olinorder) ).

fof(f1177,axiom,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oorder) ).

fof(f1180,axiom,
    class_Orderings_Oord(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oord) ).

fof(f1189,conjecture,
    ? [X0] : hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),c_Set_OCollect(tc_RealDef_Oreal,v_P)),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f1190,negated_conjecture,
    ~ ? [X0] : hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),c_Set_OCollect(tc_RealDef_Oreal,v_P)),X0)),
    inference(negated_conjecture,[status(cth)],[f1189]) ).

fof(f1200,plain,
    ? [X0] :
    ! [X1] :
      ( ~ hBOOL(hAPP(v_P,X1))
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f1240,plain,
    ! [X0,X1,X2] :
      ( ~ class_Orderings_Oorder(X2)
      | ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
      | ~ c_Orderings_Oord__class_Oless(X2,X0,X1) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f1241,plain,
    ! [X0,X1,X2] :
      ( ~ class_Orderings_Oorder(X2)
      | ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
      | ~ c_Orderings_Oord__class_Oless(X2,X0,X1) ),
    inference(flattening,[],[f1240]) ).

fof(f1268,plain,
    ! [X0,X1,X2,X3] :
      ( ~ class_Orderings_Oord(X3)
      | ( hBOOL(hAPP(c_Lubs_OisUb(X3,X2,X1),X0))
      <=> ( c_member(X3,X0,X2)
          & c_Lubs_Osetle(X3,X1,X0) ) ) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f1355,plain,
    ! [X0,X1,X2] :
      ( ~ class_Orderings_Olinorder(X2)
      | c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | c_Orderings_Oord__class_Oless(X2,X0,X1) ),
    inference(ennf_transformation,[],[f101]) ).

fof(f1356,plain,
    ! [X0,X1,X2] :
      ( ~ class_Orderings_Olinorder(X2)
      | c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | c_Orderings_Oord__class_Oless(X2,X0,X1) ),
    inference(flattening,[],[f1355]) ).

fof(f1391,plain,
    ! [X0,X1,X2] :
      ( ~ class_Orderings_Oord(X2)
      | ? [X3] :
          ( c_member(X2,X3,X1)
          & ~ c_Orderings_Oord__class_Oless__eq(X2,X3,X0) )
      | hBOOL(hAPP(c_Lubs_OisUb(X2,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)),X1),X0)) ),
    inference(ennf_transformation,[],[f125]) ).

fof(f1392,plain,
    ! [X0,X1,X2] :
      ( ~ class_Orderings_Oord(X2)
      | ? [X3] :
          ( c_member(X2,X3,X1)
          & ~ c_Orderings_Oord__class_Oless__eq(X2,X3,X0) )
      | hBOOL(hAPP(c_Lubs_OisUb(X2,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)),X1),X0)) ),
    inference(flattening,[],[f1391]) ).

fof(f1447,plain,
    ! [X0,X1,X2] :
      ( ~ class_Orderings_Obot(X2)
      | hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,X2)),X0) = c_Orderings_Obot__class_Obot(X2) ),
    inference(ennf_transformation,[],[f178]) ).

fof(f1484,plain,
    ! [X0,X1] :
      ( ? [X2] : ~ c_member(X1,X2,X0)
      | c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)) = X0 ),
    inference(ennf_transformation,[],[f224]) ).

fof(f2243,plain,
    ! [X0] : ~ hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),c_Set_OCollect(tc_RealDef_Oreal,v_P)),X0)),
    inference(ennf_transformation,[],[f1190]) ).

fof(f2248,plain,
    ! [X1] :
      ( ~ hBOOL(hAPP(v_P,X1))
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,sK3) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f1200]) ).

fof(f2254,plain,
    ! [X0,X1,X2] :
      ( ( ~ c_member(X2,X1,X0)
        | hBOOL(hAPP(X0,X1)) )
      & ( ~ hBOOL(hAPP(X0,X1))
        | c_member(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f22]) ).

fof(f2262,plain,
    ! [X0,X1,X2,X3] :
      ( ~ class_Orderings_Oord(X3)
      | ( ( ~ hBOOL(hAPP(c_Lubs_OisUb(X3,X2,X1),X0))
          | ( c_member(X3,X0,X2)
            & c_Lubs_Osetle(X3,X1,X0) ) )
        & ( ~ c_member(X3,X0,X2)
          | ~ c_Lubs_Osetle(X3,X1,X0)
          | hBOOL(hAPP(c_Lubs_OisUb(X3,X2,X1),X0)) ) ) ),
    inference(nnf_transformation,[],[f1268]) ).

fof(f2263,plain,
    ! [X0,X1,X2,X3] :
      ( ~ class_Orderings_Oord(X3)
      | ( ( ~ hBOOL(hAPP(c_Lubs_OisUb(X3,X2,X1),X0))
          | ( c_member(X3,X0,X2)
            & c_Lubs_Osetle(X3,X1,X0) ) )
        & ( ~ c_member(X3,X0,X2)
          | ~ c_Lubs_Osetle(X3,X1,X0)
          | hBOOL(hAPP(c_Lubs_OisUb(X3,X2,X1),X0)) ) ) ),
    inference(flattening,[],[f2262]) ).

fof(f2301,plain,
    ! [X0,X1,X2] :
      ( ~ class_Orderings_Oord(X2)
      | ( c_member(X2,sK17(X0,X1,X2),X1)
        & ~ c_Orderings_Oord__class_Oless__eq(X2,sK17(X0,X1,X2),X0) )
      | hBOOL(hAPP(c_Lubs_OisUb(X2,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)),X1),X0)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X3,sK17(X0,X1,X2))],[f1392]) ).

fof(f2339,plain,
    ! [X0,X1] :
      ( ( c_Set_OCollect(X1,X0) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
        | ! [X2] : ~ hBOOL(hAPP(X0,X2)) )
      & ( ? [X2] : hBOOL(hAPP(X0,X2))
        | c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = c_Set_OCollect(X1,X0) ) ),
    inference(nnf_transformation,[],[f184]) ).

fof(f2340,plain,
    ! [X0,X1] :
      ( ( c_Set_OCollect(X1,X0) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
        | ! [X3] : ~ hBOOL(hAPP(X0,X3)) )
      & ( ? [X2] : hBOOL(hAPP(X0,X2))
        | c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = c_Set_OCollect(X1,X0) ) ),
    inference(rectify,[],[f2339]) ).

fof(f2341,plain,
    ! [X0,X1] :
      ( ( c_Set_OCollect(X1,X0) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
        | ! [X3] : ~ hBOOL(hAPP(X0,X3)) )
      & ( hBOOL(hAPP(X0,sK32(X0)))
        | c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = c_Set_OCollect(X1,X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(X2,sK32(X0))],[f2340]) ).

fof(f2342,plain,
    ! [X0,X1] :
      ( ( c_Set_OCollect(X1,X0) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
        | ! [X2] : ~ hBOOL(hAPP(X0,X2)) )
      & ( ? [X2] : hBOOL(hAPP(X0,X2))
        | c_Set_OCollect(X1,X0) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ) ),
    inference(nnf_transformation,[],[f185]) ).

fof(f2343,plain,
    ! [X0,X1] :
      ( ( c_Set_OCollect(X1,X0) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
        | ! [X3] : ~ hBOOL(hAPP(X0,X3)) )
      & ( ? [X2] : hBOOL(hAPP(X0,X2))
        | c_Set_OCollect(X1,X0) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ) ),
    inference(rectify,[],[f2342]) ).

fof(f2344,plain,
    ! [X0,X1] :
      ( ( c_Set_OCollect(X1,X0) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
        | ! [X3] : ~ hBOOL(hAPP(X0,X3)) )
      & ( hBOOL(hAPP(X0,sK33(X0)))
        | c_Set_OCollect(X1,X0) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(X2,sK33(X0))],[f2343]) ).

fof(f2362,plain,
    ! [X0,X1] :
      ( ~ c_member(X1,sK47(X0,X1),X0)
      | c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)) = X0 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK47]),skolemize(X2,sK47(X0,X1))],[f1484]) ).

fof(f2605,plain,
    ! [X1] :
      ( ~ hBOOL(hAPP(v_P,X1))
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,sK3) ),
    inference(cnf_transformation,[],[f2248]) ).

fof(f2606,plain,
    ! [X0,X1] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X0)),
    inference(cnf_transformation,[],[f5]) ).

fof(f2610,plain,
    ! [X0,X1] : c_Set_OCollect(X1,X0) = X0,
    inference(cnf_transformation,[],[f9]) ).

fof(f2630,plain,
    ! [X2,X0,X1] :
      ( ~ c_member(X2,X1,X0)
      | hBOOL(hAPP(X0,X1)) ),
    inference(cnf_transformation,[],[f2254]) ).

fof(f2631,plain,
    ! [X2,X0,X1] :
      ( ~ hBOOL(hAPP(X0,X1))
      | c_member(X2,X1,X0) ),
    inference(cnf_transformation,[],[f2254]) ).

fof(f2651,plain,
    ! [X2,X0,X1] :
      ( ~ class_Orderings_Oorder(X2)
      | ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
      | ~ c_Orderings_Oord__class_Oless(X2,X0,X1) ),
    inference(cnf_transformation,[],[f1241]) ).

fof(f2666,plain,
    ! [X2,X3,X0,X1] :
      ( ~ class_Orderings_Oord(X3)
      | ~ hBOOL(hAPP(c_Lubs_OisUb(X3,X2,X1),X0))
      | c_Lubs_Osetle(X3,X1,X0) ),
    inference(cnf_transformation,[],[f2263]) ).

fof(f2667,plain,
    ! [X2,X3,X0,X1] :
      ( ~ class_Orderings_Oord(X3)
      | ~ c_member(X3,X0,X2)
      | ~ c_Lubs_Osetle(X3,X1,X0)
      | hBOOL(hAPP(c_Lubs_OisUb(X3,X2,X1),X0)) ),
    inference(cnf_transformation,[],[f2263]) ).

fof(f2728,plain,
    ! [X2,X0,X1] :
      ( ~ class_Orderings_Olinorder(X2)
      | c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | c_Orderings_Oord__class_Oless(X2,X0,X1) ),
    inference(cnf_transformation,[],[f1356]) ).

fof(f2768,plain,
    ! [X2,X0,X1] :
      ( ~ class_Orderings_Oord(X2)
      | c_member(X2,sK17(X0,X1,X2),X1)
      | hBOOL(hAPP(c_Lubs_OisUb(X2,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)),X1),X0)) ),
    inference(cnf_transformation,[],[f2301]) ).

fof(f2769,plain,
    ! [X2,X0,X1] :
      ( ~ class_Orderings_Oord(X2)
      | ~ c_Orderings_Oord__class_Oless__eq(X2,sK17(X0,X1,X2),X0)
      | hBOOL(hAPP(c_Lubs_OisUb(X2,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)),X1),X0)) ),
    inference(cnf_transformation,[],[f2301]) ).

fof(f2776,plain,
    ! [X0] : c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X0,tc_HOL_Obool),tc_HOL_Obool)) = c_Set_OPow(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))),
    inference(cnf_transformation,[],[f128]) ).

fof(f2850,plain,
    ! [X2,X0,X1] :
      ( ~ class_Orderings_Obot(X2)
      | hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,X2)),X0) = c_Orderings_Obot__class_Obot(X2) ),
    inference(cnf_transformation,[],[f1447]) ).

fof(f2859,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(X0,sK32(X0)))
      | c_Set_OCollect(X1,X0) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(cnf_transformation,[],[f2341]) ).

fof(f2860,plain,
    ! [X3,X0,X1] :
      ( c_Set_OCollect(X1,X0) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
      | ~ hBOOL(hAPP(X0,X3)) ),
    inference(cnf_transformation,[],[f2344]) ).

fof(f2861,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(X0,sK33(X0)))
      | c_Set_OCollect(X1,X0) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
    inference(cnf_transformation,[],[f2344]) ).

fof(f2925,plain,
    ! [X0,X1] :
      ( ~ c_member(X1,sK47(X0,X1),X0)
      | c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)) = X0 ),
    inference(cnf_transformation,[],[f2362]) ).

fof(f4108,plain,
    class_Orderings_Obot(tc_HOL_Obool),
    inference(cnf_transformation,[],[f1118]) ).

fof(f4159,plain,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1169]) ).

fof(f4167,plain,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1177]) ).

fof(f4170,plain,
    class_Orderings_Oord(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1180]) ).

fof(f4179,plain,
    ! [X0] : ~ hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),c_Set_OCollect(tc_RealDef_Oreal,v_P)),X0)),
    inference(cnf_transformation,[],[f2243]) ).

tcf(c_52,plain,
    ! [X0: $i] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sK3)
      | ~ hBOOL(hAPP(v_P,X0)) ),
    inference(cnf_transformation,[],[f2605]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)),X1)),
    inference(cnf_transformation,[],[f2606]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i] : c_Set_OCollect(X0,X1) = X1,
    inference(cnf_transformation,[],[f2610]) ).

tcf(c_73,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_member(X2,X1,X0)
      | ~ hBOOL(hAPP(X0,X1)) ),
    inference(cnf_transformation,[],[f2631]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( hBOOL(hAPP(X2,X1))
      | ~ c_member(X0,X1,X2) ),
    inference(cnf_transformation,[],[f2630]) ).

tcf(c_89,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ class_Orderings_Oorder(X0)
      | ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
      | ~ c_Orderings_Oord__class_Oless(X0,X1,X2) ),
    inference(cnf_transformation,[],[f2651]) ).

tcf(c_98,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( hBOOL(hAPP(c_Lubs_OisUb(X0,X2,X3),X1))
      | ~ class_Orderings_Oord(X0)
      | ~ c_Lubs_Osetle(X0,X3,X1)
      | ~ c_member(X0,X1,X2) ),
    inference(cnf_transformation,[],[f2667]) ).

tcf(c_99,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_Lubs_Osetle(X0,X2,X3)
      | ~ class_Orderings_Oord(X0)
      | ~ hBOOL(hAPP(c_Lubs_OisUb(X0,X1,X2),X3)) ),
    inference(cnf_transformation,[],[f2666]) ).

tcf(c_156,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
      | c_Orderings_Oord__class_Oless(X0,X1,X2)
      | ~ class_Orderings_Olinorder(X0) ),
    inference(cnf_transformation,[],[f2728]) ).

tcf(c_196,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( hBOOL(hAPP(c_Lubs_OisUb(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)),X2),X1))
      | ~ class_Orderings_Oord(X0)
      | ~ c_Orderings_Oord__class_Oless__eq(X0,sK17(X1,X2,X0),X1) ),
    inference(cnf_transformation,[],[f2769]) ).

tcf(c_197,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_member(X0,sK17(X2,X1,X0),X1)
      | hBOOL(hAPP(c_Lubs_OisUb(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)),X1),X2))
      | ~ class_Orderings_Oord(X0) ),
    inference(cnf_transformation,[],[f2768]) ).

tcf(c_204,plain,
    ! [X0: $i] : c_Set_OPow(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X0,tc_HOL_Obool),tc_HOL_Obool)),
    inference(cnf_transformation,[],[f2776]) ).

tcf(c_278,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,X0)),X2) = c_Orderings_Obot__class_Obot(X0) )
      | ~ class_Orderings_Obot(X0) ),
    inference(cnf_transformation,[],[f2850]) ).

tcf(c_286,plain,
    ! [X0: $i,X1: $i] :
      ( hBOOL(hAPP(X1,sK32(X1)))
      | ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = c_Set_OCollect(X0,X1) ) ),
    inference(cnf_transformation,[],[f2859]) ).

tcf(c_288,plain,
    ! [X0: $i,X1: $i] :
      ( hBOOL(hAPP(X1,sK33(X1)))
      | ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = c_Set_OCollect(X0,X1) ) ),
    inference(cnf_transformation,[],[f2861]) ).

tcf(c_289,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ hBOOL(hAPP(X1,X2))
      | ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) != c_Set_OCollect(X0,X1) ) ),
    inference(cnf_transformation,[],[f2860]) ).

tcf(c_350,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)) = X1 )
      | ~ c_member(X0,sK47(X1,X0),X1) ),
    inference(cnf_transformation,[],[f2925]) ).

tcf(c_1512,plain,
    class_Orderings_Obot(tc_HOL_Obool),
    inference(cnf_transformation,[],[f4108]) ).

tcf(c_1563,plain,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f4159]) ).

tcf(c_1571,plain,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f4167]) ).

tcf(c_1574,plain,
    class_Orderings_Oord(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f4170]) ).

tcf(c_1583,negated_conjecture,
    ! [X0: $i] : ~ hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),c_Set_OCollect(tc_RealDef_Oreal,v_P)),X0)),
    inference(cnf_transformation,[],[f4179]) ).

tcf(c_2545,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) != c_Set_OCollect(X0,X1) )
      | ~ hBOOL(hAPP(X1,X2)) ),
    inference(prop_impl_just,[status(thm)],[c_289]) ).

tcf(c_2546,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ hBOOL(hAPP(X1,X2))
      | ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) != c_Set_OCollect(X0,X1) ) ),
    inference(renaming,[status(thm)],[c_2545]) ).

tcf(c_2681,plain,
    ! [X0: $i,X1: $i] :
      ( hBOOL(hAPP(X1,sK32(X1)))
      | ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = c_Set_OCollect(X0,X1) ) ),
    inference(prop_impl_just,[status(thm)],[c_286]) ).

tcf(c_2683,plain,
    ! [X0: $i,X1: $i] :
      ( hBOOL(hAPP(X1,sK33(X1)))
      | ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = c_Set_OCollect(X0,X1) ) ),
    inference(prop_impl_just,[status(thm)],[c_288]) ).

tcf(c_11662,plain,
    ! [X0: $i] : ~ hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),v_P),X0)),
    inference(demodulation,[status(thm)],[c_1583,c_57]) ).

tcf(c_12124,plain,
    ! [X0: $i,X1: $i] :
      ( hBOOL(hAPP(X1,sK33(X1)))
      | ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = X1 ) ),
    inference(light_normalisation,[status(thm)],[c_2683,c_57]) ).

tcf(c_12131,plain,
    ! [X0: $i,X1: $i] :
      ( hBOOL(hAPP(X1,sK32(X1)))
      | ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = X1 ) ),
    inference(light_normalisation,[status(thm)],[c_2681,c_57]) ).

tcf(c_12444,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ hBOOL(hAPP(X1,X2))
      | ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) != X1 ) ),
    inference(light_normalisation,[status(thm)],[c_2546,c_57]) ).

tcf(c_21719,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_Orderings_Oord__class_Oless__eq(X0,X2,X1)
      | c_Orderings_Oord__class_Oless(X0,X1,X2)
      | ( X0 != tc_RealDef_Oreal ) ),
    inference(resolution_lifted,[status(thm)],[c_156,c_1563]) ).

tcf(c_21720,plain,
    ! [X0: $i,X1: $i] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
    inference(unflattening,[status(thm)],[c_21719]) ).

tcf(c_26673,plain,
    ! [X0: $i,X1: $i] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)),X1)),
    inference(unflattening,[status(thm)],[c_12444]) ).

tcf(c_61569,plain,
    ! [X0: $i,X1: $i] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
    inference(prop_impl_just,[status(thm)],[c_21720]) ).

tcf(c_61570,plain,
    ! [X0: $i,X1: $i] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
    inference(renaming,[status(thm)],[c_61569]) ).

tcf(c_62503,plain,
    ! [X0: $i,X1: $i] :
      ( hBOOL(hAPP(X1,sK32(X1)))
      | ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = X1 ) ),
    inference(prop_impl_just,[status(thm)],[c_12131]) ).

tcf(c_62505,plain,
    ! [X0: $i,X1: $i] :
      ( hBOOL(hAPP(X1,sK33(X1)))
      | ( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = X1 ) ),
    inference(prop_impl_just,[status(thm)],[c_12124]) ).

tcf(c_78846,definition,
    iPr_def_10 = tc_fun(tc_RealDef_Oreal,tc_HOL_Obool),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_78847,definition,
    iPr_def_11 = c_Orderings_Otop__class_Otop(iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_78848,definition,
    iPr_def_12 = c_Lubs_OisUb(tc_RealDef_Oreal,iPr_def_11,v_P),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_78849,plain,
    ! [X0: $i] : ~ hBOOL(hAPP(iPr_def_12,X0)),
    inference(demodulation,[status(thm)],[c_11662,c_78846,c_78847,c_78848]) ).

tcf(c_199372,plain,
    ! [X0: $i] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(iPr_def_10),X0)),
    inference(superposition,[status(thm)],[c_78846,c_26673]) ).

tcf(c_199375,plain,
    ! [X0: $i] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(iPr_def_10),X0)),
    inference(superposition,[status(thm)],[c_78846,c_53]) ).

tcf(c_199376,plain,
    ! [X0: $i] : hBOOL(hAPP(iPr_def_11,X0)),
    inference(light_normalisation,[status(thm)],[c_199375,c_78847]) ).

tcf(c_199392,plain,
    c_Orderings_Otop__class_Otop(tc_fun(iPr_def_10,tc_HOL_Obool)) = c_Set_OPow(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(iPr_def_10)),
    inference(superposition,[status(thm)],[c_78846,c_204]) ).

tcf(c_199393,plain,
    c_Orderings_Otop__class_Otop(tc_fun(iPr_def_10,tc_HOL_Obool)) = c_Set_OPow(tc_RealDef_Oreal,iPr_def_11),
    inference(light_normalisation,[status(thm)],[c_199392,c_78847]) ).

tcf(c_199604,plain,
    ! [X0: $i,X1: $i,X2: $i] : c_member(X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))),
    inference(superposition,[status(thm)],[c_53,c_73]) ).

tcf(c_199609,plain,
    ! [X0: $i,X1: $i] : c_member(X0,X1,iPr_def_11),
    inference(superposition,[status(thm)],[c_199376,c_73]) ).

tcf(c_199849,plain,
    ! [X0: $i,X1: $i] : c_member(X0,X1,c_Set_OPow(tc_RealDef_Oreal,iPr_def_11)),
    inference(superposition,[status(thm)],[c_199393,c_199604]) ).

tcf(c_201540,plain,
    ! [X0: $i] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = iPr_def_12,
    inference(superposition,[status(thm)],[c_62503,c_78849]) ).

tcf(c_201541,plain,
    ! [X0: $i] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)) = c_Orderings_Obot__class_Obot(iPr_def_10),
    inference(superposition,[status(thm)],[c_62503,c_199372]) ).

tcf(c_201559,plain,
    ! [X0: $i] :
      ( hBOOL(hAPP(X0,sK32(X0)))
      | ( X0 = iPr_def_12 ) ),
    inference(demodulation,[status(thm)],[c_62503,c_201540]) ).

tcf(c_201599,plain,
    ! [X0: $i] :
      ( hBOOL(hAPP(X0,sK33(X0)))
      | ( c_Orderings_Obot__class_Obot(iPr_def_10) = X0 ) ),
    inference(light_normalisation,[status(thm)],[c_62505,c_201541]) ).

tcf(c_201615,plain,
    c_Orderings_Obot__class_Obot(iPr_def_10) = iPr_def_12,
    inference(superposition,[status(thm)],[c_201599,c_78849]) ).

tcf(c_201724,plain,
    ! [X0: $i,X1: $i] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
      | ~ class_Orderings_Oorder(tc_RealDef_Oreal)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
    inference(superposition,[status(thm)],[c_61570,c_89]) ).

tcf(c_201782,plain,
    ! [X0: $i,X1: $i] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_201724,c_1571]) ).

tcf(c_202012,plain,
    ! [X0: $i,X1: $i] : hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)),X1) = c_Orderings_Obot__class_Obot(tc_HOL_Obool),
    inference(superposition,[status(thm)],[c_1512,c_278]) ).

tcf(c_202016,plain,
    ! [X0: $i] : hAPP(iPr_def_12,X0) = c_Orderings_Obot__class_Obot(tc_HOL_Obool),
    inference(light_normalisation,[status(thm)],[c_202012,c_201541,c_201615]) ).

tcf(c_202020,plain,
    ~ hBOOL(c_Orderings_Obot__class_Obot(tc_HOL_Obool)),
    inference(demodulation,[status(thm)],[c_78849,c_202016]) ).

tcf(c_204317,plain,
    ! [X0: $i] : c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)) = iPr_def_11,
    inference(superposition,[status(thm)],[c_199609,c_350]) ).

tcf(c_204318,plain,
    ! [X0: $i] : c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)) = c_Set_OPow(tc_RealDef_Oreal,iPr_def_11),
    inference(superposition,[status(thm)],[c_199849,c_350]) ).

tcf(c_204340,plain,
    c_Set_OPow(tc_RealDef_Oreal,iPr_def_11) = iPr_def_11,
    inference(demodulation,[status(thm)],[c_199393,c_204317]) ).

tcf(c_207501,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_Lubs_Osetle(X0,X2,sK32(c_Lubs_OisUb(X0,X1,X2)))
      | ( c_Lubs_OisUb(X0,X1,X2) = iPr_def_12 )
      | ~ class_Orderings_Oord(X0) ),
    inference(superposition,[status(thm)],[c_201559,c_99]) ).

tcf(c_298141,plain,
    ! [X0: $i] :
      ( hBOOL(hAPP(iPr_def_12,X0))
      | ~ class_Orderings_Oord(tc_RealDef_Oreal)
      | ~ c_Lubs_Osetle(tc_RealDef_Oreal,v_P,X0)
      | ~ c_member(tc_RealDef_Oreal,X0,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_78848,c_98]) ).

tcf(c_298159,plain,
    ! [X0: $i] :
      ( hBOOL(c_Orderings_Obot__class_Obot(tc_HOL_Obool))
      | ~ class_Orderings_Oord(tc_RealDef_Oreal)
      | ~ c_Lubs_Osetle(tc_RealDef_Oreal,v_P,X0)
      | ~ c_member(tc_RealDef_Oreal,X0,iPr_def_11) ),
    inference(light_normalisation,[status(thm)],[c_298141,c_202016]) ).

tcf(c_298160,plain,
    ! [X0: $i] : ~ c_Lubs_Osetle(tc_RealDef_Oreal,v_P,X0),
    inference(forward_subsumption_resolution,[status(thm)],[c_298159,c_202020,c_1574,c_199609]) ).

tcf(c_298656,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( hBOOL(hAPP(c_Lubs_OisUb(X0,iPr_def_11,X2),X1))
      | c_member(X0,sK17(X1,X2,X0),X2)
      | ~ class_Orderings_Oord(X0) ),
    inference(light_normalisation,[status(thm)],[c_197,c_204318,c_204340]) ).

tcf(c_298666,plain,
    ! [X0: $i] :
      ( hBOOL(hAPP(iPr_def_12,X0))
      | c_member(tc_RealDef_Oreal,sK17(X0,v_P,tc_RealDef_Oreal),v_P)
      | ~ class_Orderings_Oord(tc_RealDef_Oreal) ),
    inference(superposition,[status(thm)],[c_78848,c_298656]) ).

tcf(c_298710,plain,
    ! [X0: $i] :
      ( hBOOL(c_Orderings_Obot__class_Obot(tc_HOL_Obool))
      | c_member(tc_RealDef_Oreal,sK17(X0,v_P,tc_RealDef_Oreal),v_P)
      | ~ class_Orderings_Oord(tc_RealDef_Oreal) ),
    inference(light_normalisation,[status(thm)],[c_298666,c_202016]) ).

tcf(c_298711,plain,
    ! [X0: $i] : c_member(tc_RealDef_Oreal,sK17(X0,v_P,tc_RealDef_Oreal),v_P),
    inference(forward_subsumption_resolution,[status(thm)],[c_298710,c_202020,c_1574]) ).

tcf(c_298870,plain,
    ! [X0: $i] :
      ( ( c_Lubs_OisUb(tc_RealDef_Oreal,X0,v_P) = iPr_def_12 )
      | ~ class_Orderings_Oord(tc_RealDef_Oreal) ),
    inference(superposition,[status(thm)],[c_207501,c_298160]) ).

tcf(c_298872,plain,
    ! [X0: $i] : c_Lubs_OisUb(tc_RealDef_Oreal,X0,v_P) = iPr_def_12,
    inference(forward_subsumption_resolution,[status(thm)],[c_298870,c_1574]) ).

tcf(c_298882,plain,
    ! [X0: $i] : hBOOL(hAPP(v_P,sK17(X0,v_P,tc_RealDef_Oreal))),
    inference(superposition,[status(thm)],[c_298711,c_74]) ).

tcf(c_298921,plain,
    ! [X0: $i] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sK17(X0,v_P,tc_RealDef_Oreal),sK3),
    inference(superposition,[status(thm)],[c_298882,c_52]) ).

tcf(c_300813,plain,
    ! [X0: $i] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sK17(X0,v_P,tc_RealDef_Oreal),sK3),
    inference(superposition,[status(thm)],[c_298921,c_201782]) ).

tcf(c_317381,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( hBOOL(hAPP(c_Lubs_OisUb(X0,iPr_def_11,X2),X1))
      | ~ class_Orderings_Oord(X0)
      | ~ c_Orderings_Oord__class_Oless__eq(X0,sK17(X1,X2,X0),X1) ),
    inference(light_normalisation,[status(thm)],[c_196,c_204318,c_204340]) ).

tcf(c_317433,plain,
    ( hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,iPr_def_11,v_P),sK3))
    | ~ class_Orderings_Oord(tc_RealDef_Oreal) ),
    inference(superposition,[status(thm)],[c_300813,c_317381]) ).

tcf(c_317434,plain,
    hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,iPr_def_11,v_P),sK3)),
    inference(forward_subsumption_resolution,[status(thm)],[c_317433,c_1574]) ).

tcf(c_318038,plain,
    hBOOL(c_Orderings_Obot__class_Obot(tc_HOL_Obool)),
    inference(demodulation,[status(thm)],[c_317434,c_202016,c_298872]) ).

tcf(c_318039,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_318038,c_202020]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWW190+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.41  % Computer : n019.cluster.edu
% 0.13/0.41  % Model    : x86_64 x86_64
% 0.13/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41  % Memory   : 8046.5625MB
% 0.13/0.41  % OS       : Linux 6.8.0-71-generic
% 0.13/0.41  % CPULimit : 300
% 0.13/0.41  % WCLimit  : 300
% 0.13/0.41  % DateTime : Thu Sep 24 21:42:05 UTC 2026
% 0.13/0.42  % CPUTime  : 
% 0.13/0.42  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.47  Running first-order theorem proving
% 0.13/0.47  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
% 0.13/0.48  
% 0.13/0.48  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.48  
% 0.13/0.48  % Detected problem language: tptp
% 0.13/0.50  % Proving...
% 202.83/31.27  % SZS status Started for theBenchmark.p
% 202.83/31.27  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")
% 202.83/31.27  Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 202.83/31.27  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_snii28il/1sv89gg7 2>> /export/starexec/sandbox2/tmp/iprover_out_snii28il/1sv89gg7_error
% 202.83/31.27  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")
% 202.83/31.27  Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 202.83/31.27  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_snii28il/hxuzoc_d 2>> /export/starexec/sandbox2/tmp/iprover_out_snii28il/hxuzoc_d_error
% 202.83/31.27  % SZS status Theorem for theBenchmark.p
% 202.83/31.27  
% 202.83/31.27  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 202.83/31.27  
% 202.83/31.27  % ------  iProver source info
% 202.83/31.27  
% 202.83/31.27  % git: date: 2026-07-19 20:42:38 +0200
% 202.83/31.27  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 202.83/31.27  % git: non_committed_changes: false
% 202.83/31.27  
% 202.83/31.27  % ------ Parsing...
% 202.83/31.27  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 202.83/31.27  
% 202.83/31.27  % ------ Preprocessing... sup_sim: 55  sf_s  rm: 9 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e  sup_sim: 59  sf_s  rm: 50 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 50 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 50 0s  sf_e  pe_s  pe_e % 
% 202.83/31.27  
% 202.83/31.27  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 202.83/31.27  
% 202.83/31.27  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 202.83/31.27  % ------ Proving...
% 202.83/31.27  % ------ Problem Properties 
% 202.83/31.27  
% 202.83/31.27  % 
% 202.83/31.27  % clauses                               1246
% 202.83/31.27  % conjectures                           0
% 202.83/31.27  % EPR                                   91
% 202.83/31.27  % Horn                                  1052
% 202.83/31.27  % unary                                 332
% 202.83/31.27  % binary                                404
% 202.83/31.27  % lits                                  2806
% 202.83/31.27  % lits eq                               570
% 202.83/31.27  % fd_pure                               0
% 202.83/31.27  % fd_pseudo                             0
% 202.83/31.27  % fd_cond                               48
% 202.83/31.27  % fd_pseudo_cond                        78
% 202.83/31.27  % AC symbols                            0
% 202.83/31.27  
% 202.83/31.27  % ------ Schedule dynamic 5 is on 
% 202.83/31.27  
% 202.83/31.27  % ------ no conjectures: strip conj schedule 
% 202.83/31.27  
% 202.83/31.27  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 202.83/31.27  
% 202.83/31.27  
% 202.83/31.27  % ------ 
% 202.83/31.27  % Current options:
% 202.83/31.27  % ------ 
% 202.83/31.27  
% 202.83/31.27  
% 202.83/31.27  % 
% 202.83/31.27  
% 202.83/31.27  % ------ Proving...
% 202.83/31.27  % Proof_search_loop: time out after: 4905 full_loop iterations
% 202.83/31.27  
% 202.83/31.27  % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" stripped conjectures Time Limit: 15.
% 202.83/31.27  
% 202.83/31.27  
% 202.83/31.27  % ------ 
% 202.83/31.27  % Current options:
% 202.83/31.27  % ------ 
% 202.83/31.27  
% 202.83/31.27  
% 202.83/31.27  % 
% 202.83/31.27  
% 202.83/31.27  % ------ Proving...
% 202.83/31.27  % 
% 202.83/31.27  
% 202.83/31.27  % SZS status Theorem for theBenchmark.p
% 202.83/31.27  
% 202.83/31.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 202.83/31.27  
% 202.83/31.27  
%------------------------------------------------------------------------------