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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SCT166+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 : n005.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 02:40:54 PM UTC 2026

% Result   : Theorem 51.99s 7.90s
% Output   : CNFRefutation 52.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   52 (  22 unt;   0 def)
%            Number of atoms       :  110 (   9 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  106 (  48   ~;  40   |;   7   &)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :   16 (  16 usr;   4 con; 0-4 aty)
%            Number of variables   :  145 (   0 sgn 139   !;   6   ?;  41   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f77,axiom,
    ! [X0,X1] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X0),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_subset__UNIV) ).

fof(f122,axiom,
    ! [X0,X1,X2] :
      ( X2 = X1
     => ~ ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2),X1))
         => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1),X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_equalityE) ).

fof(f234,axiom,
    ! [X0,X1] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0)),X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__add__less1) ).

fof(f249,axiom,
    c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_finite__indi) ).

fof(f258,axiom,
    ! [X0,X1,X2] :
      ( c_Finite__Set_Ofinite(X2,X1)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X0),X1))
       => c_Finite__Set_Ofinite(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_rev__finite__subset) ).

fof(f405,axiom,
    ! [X0] : hAPP(c_Nat_OSuc,X0) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__eq__plus1) ).

fof(f446,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( X4 = hAPP(X3,X2)
     => hBOOL(hAPP(hAPP(c_member(X1),X4),c_Set_Oimage(X0,X1,X3,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_range__eqI) ).

fof(f449,axiom,
    ! [X0,X1,X2,X3] :
      ( c_Finite__Set_Ofinite(X3,c_Set_Oimage(X2,X3,X1,X0))
     => ( c_Fun_Oinj__on(X2,X3,X1,X0)
       => c_Finite__Set_Ofinite(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_finite__imageD) ).

fof(f473,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X3),c_Set_Oimage(X2,X4,X1,X0)))
     => c_Fun_Oinj__on(X4,X2,c_Hilbert__Choice_Oinv__into(X2,X4,X0,X1),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_inj__on__inv__into) ).

fof(f486,axiom,
    ! [X0] :
      ( c_Finite__Set_Ofinite(tc_Nat_Onat,X0)
    <=> ? [X1] :
        ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X0))
         => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_finite__nat__set__iff__bounded) ).

fof(f622,plain,
    ! [X0,X1,X2] :
      ( X1 != X2
      | ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2),X1))
        & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1),X2)) ) ),
    inference(ennf_transformation,[],[f122]) ).

fof(f652,plain,
    ! [X0,X1,X2,X3,X4] :
      ( hAPP(X3,X2) != X4
      | hBOOL(hAPP(hAPP(c_member(X1),X4),c_Set_Oimage(X0,X1,X3,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))))) ),
    inference(ennf_transformation,[],[f446]) ).

fof(f673,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X3),c_Set_Oimage(X2,X4,X1,X0)))
      | c_Fun_Oinj__on(X4,X2,c_Hilbert__Choice_Oinv__into(X2,X4,X0,X1),X3) ),
    inference(ennf_transformation,[],[f473]) ).

fof(f692,plain,
    ! [X0] :
      ( c_Finite__Set_Ofinite(tc_Nat_Onat,X0)
    <=> ? [X1] :
        ! [X2] :
          ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X0))
          | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X1)) ) ),
    inference(ennf_transformation,[],[f486]) ).

fof(f693,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_Finite__Set_Ofinite(X3,c_Set_Oimage(X2,X3,X1,X0))
      | ~ c_Fun_Oinj__on(X2,X3,X1,X0)
      | c_Finite__Set_Ofinite(X2,X0) ),
    inference(ennf_transformation,[],[f449]) ).

fof(f694,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_Finite__Set_Ofinite(X3,c_Set_Oimage(X2,X3,X1,X0))
      | ~ c_Fun_Oinj__on(X2,X3,X1,X0)
      | c_Finite__Set_Ofinite(X2,X0) ),
    inference(flattening,[],[f693]) ).

fof(f704,plain,
    ! [X0,X1,X2] :
      ( ~ c_Finite__Set_Ofinite(X2,X1)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X0),X1))
      | c_Finite__Set_Ofinite(X2,X0) ),
    inference(ennf_transformation,[],[f258]) ).

fof(f705,plain,
    ! [X0,X1,X2] :
      ( ~ c_Finite__Set_Ofinite(X2,X1)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X0),X1))
      | c_Finite__Set_Ofinite(X2,X0) ),
    inference(flattening,[],[f704]) ).

fof(f899,plain,
    ! [X0] :
      ( ( ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X0)
        | ? [X1] :
          ! [X2] :
            ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X0))
            | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X1)) ) )
      & ( ! [X1] :
          ? [X2] :
            ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X0))
            & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X1)) )
        | c_Finite__Set_Ofinite(tc_Nat_Onat,X0) ) ),
    inference(nnf_transformation,[],[f692]) ).

fof(f900,plain,
    ! [X0] :
      ( ( ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X0)
        | ? [X3] :
          ! [X4] :
            ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4),X0))
            | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X3)) ) )
      & ( ! [X1] :
          ? [X2] :
            ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X0))
            & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X1)) )
        | c_Finite__Set_Ofinite(tc_Nat_Onat,X0) ) ),
    inference(rectify,[],[f899]) ).

fof(f901,plain,
    ! [X0] :
      ( ( ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X0)
        | ! [X4] :
            ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4),X0))
            | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),sK25(X0))) ) )
      & ( ! [X1] :
            ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),sK24(X0,X1)),X0))
            & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),sK24(X0,X1)),X1)) )
        | c_Finite__Set_Ofinite(tc_Nat_Onat,X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK24,sK25]),skolemize(X2,sK24(X0,X1)),skolemize(X3,sK25(X0))],[f900]) ).

fof(f1078,plain,
    ! [X0,X1] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0)),X1)),
    inference(cnf_transformation,[],[f234]) ).

fof(f1161,plain,
    ! [X2,X0,X1] :
      ( X1 != X2
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2),X1)) ),
    inference(cnf_transformation,[],[f622]) ).

fof(f1192,plain,
    ! [X0] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Nat_OSuc,X0),
    inference(cnf_transformation,[],[f405]) ).

fof(f1196,plain,
    c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))),
    inference(cnf_transformation,[],[f249]) ).

fof(f1238,plain,
    ! [X2,X3,X0,X1,X4] :
      ( hAPP(X3,X2) != X4
      | hBOOL(hAPP(hAPP(c_member(X1),X4),c_Set_Oimage(X0,X1,X3,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))))) ),
    inference(cnf_transformation,[],[f652]) ).

fof(f1257,plain,
    ! [X0,X1] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X0),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),
    inference(cnf_transformation,[],[f77]) ).

fof(f1264,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X3),c_Set_Oimage(X2,X4,X1,X0)))
      | c_Fun_Oinj__on(X4,X2,c_Hilbert__Choice_Oinv__into(X2,X4,X0,X1),X3) ),
    inference(cnf_transformation,[],[f673]) ).

fof(f1281,plain,
    ! [X0,X4] :
      ( ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X0)
      | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4),X0))
      | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),sK25(X0))) ),
    inference(cnf_transformation,[],[f901]) ).

fof(f1284,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_Finite__Set_Ofinite(X3,c_Set_Oimage(X2,X3,X1,X0))
      | ~ c_Fun_Oinj__on(X2,X3,X1,X0)
      | c_Finite__Set_Ofinite(X2,X0) ),
    inference(cnf_transformation,[],[f694]) ).

fof(f1290,plain,
    ! [X2,X0,X1] :
      ( ~ c_Finite__Set_Ofinite(X2,X1)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool),X0),X1))
      | c_Finite__Set_Ofinite(X2,X0) ),
    inference(cnf_transformation,[],[f705]) ).

fof(f1511,plain,
    ! [X2,X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2),X2)),
    inference(equality_resolution,[],[f1161]) ).

fof(f1521,plain,
    ! [X2,X3,X0,X1] : hBOOL(hAPP(hAPP(c_member(X1),hAPP(X3,X2)),c_Set_Oimage(X0,X1,X3,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))))),
    inference(equality_resolution,[],[f1238]) ).

tcf(c_152,plain,
    ! [X0: $i,X1: $i] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),X1)),X0)),
    inference(cnf_transformation,[],[f1078]) ).

tcf(c_233,plain,
    ! [X0: $i,X1: $i] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1),X1)),
    inference(cnf_transformation,[],[f1511]) ).

tcf(c_261,plain,
    ! [X0: $i] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X0),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Nat_OSuc,X0),
    inference(cnf_transformation,[],[f1192]) ).

tcf(c_265,plain,
    c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))),
    inference(cnf_transformation,[],[f1196]) ).

tcf(c_304,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : hBOOL(hAPP(hAPP(c_member(X0),hAPP(X1,X2)),c_Set_Oimage(X3,X0,X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))))),
    inference(cnf_transformation,[],[f1521]) ).

tcf(c_322,plain,
    ! [X0: $i,X1: $i] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))),
    inference(cnf_transformation,[],[f1257]) ).

tcf(c_329,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( c_Fun_Oinj__on(X0,X2,c_Hilbert__Choice_Oinv__into(X2,X0,X4,X3),X1)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1),c_Set_Oimage(X2,X0,X3,X4))) ),
    inference(cnf_transformation,[],[f1264]) ).

tcf(c_348,plain,
    ! [X0: $i,X1: $i] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0),sK25(X1)))
      | ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X1)
      | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X0),X1)) ),
    inference(cnf_transformation,[],[f1281]) ).

tcf(c_349,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_Finite__Set_Ofinite(X1,X3)
      | ~ c_Fun_Oinj__on(X1,X0,X2,X3)
      | ~ c_Finite__Set_Ofinite(X0,c_Set_Oimage(X1,X0,X2,X3)) ),
    inference(cnf_transformation,[],[f1284]) ).

tcf(c_355,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_Finite__Set_Ofinite(X0,X1)
      | ~ c_Finite__Set_Ofinite(X0,X2)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1),X2)) ),
    inference(cnf_transformation,[],[f1290]) ).

tcf(c_17539,plain,
    ! [X0: $i] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X0)),
    inference(superposition,[status(thm)],[c_261,c_152]) ).

tcf(c_18613,plain,
    ! [X0: $i,X1: $i] :
      ( c_Finite__Set_Ofinite(X0,X1)
      | ~ c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))) ),
    inference(superposition,[status(thm)],[c_322,c_355]) ).

tcf(c_18774,plain,
    ! [X0: $i] : c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi,X0),
    inference(superposition,[status(thm)],[c_265,c_18613]) ).

tcf(c_19730,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_Finite__Set_Ofinite(X0,X2)
      | ~ c_Fun_Oinj__on(X0,tc_Arrow__Order__Mirabelle_Oindi,X1,X2) ),
    inference(superposition,[status(thm)],[c_18774,c_349]) ).

tcf(c_23630,plain,
    ! [X0: $i] :
      ( ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X0)
      | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Nat_OSuc,sK25(X0))),X0)) ),
    inference(superposition,[status(thm)],[c_348,c_17539]) ).

tcf(c_27219,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : c_Fun_Oinj__on(X0,X1,c_Hilbert__Choice_Oinv__into(X1,X0,X2,X3),c_Set_Oimage(X1,X0,X3,X2)),
    inference(superposition,[status(thm)],[c_233,c_329]) ).

tcf(c_30794,plain,
    ! [X0: $i,X1: $i,X2: $i] : c_Finite__Set_Ofinite(X0,c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi,X0,X1,X2)),
    inference(superposition,[status(thm)],[c_27219,c_19730]) ).

tcf(c_48869,plain,
    ! [X0: $i] : ~ c_Finite__Set_Ofinite(tc_Nat_Onat,c_Set_Oimage(X0,tc_Nat_Onat,c_Nat_OSuc,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))),
    inference(superposition,[status(thm)],[c_304,c_23630]) ).

tcf(c_49573,plain,
    $false,
    inference(superposition,[status(thm)],[c_30794,c_48869]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SCT166+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38  % Computer : n005.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Thu Sep 24 08:56:03 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.42  Running first-order theorem proving
% 0.02/0.42  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
% 0.02/0.44  
% 0.02/0.44  % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.44  
% 0.02/0.44  % Detected problem language: tptp
% 0.02/0.45  % Proving...
% 51.99/7.90  % SZS status Started for theBenchmark.p
% 51.99/7.90  % SZS status Theorem for theBenchmark.p
% 51.99/7.90  
% 51.99/7.90  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 51.99/7.90  
% 51.99/7.90  % ------  iProver source info
% 51.99/7.90  
% 51.99/7.90  % git: date: 2026-07-19 20:42:38 +0200
% 51.99/7.90  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 51.99/7.90  % git: non_committed_changes: false
% 51.99/7.90  
% 51.99/7.90  % ------ Parsing...
% 51.99/7.90  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 51.99/7.90  
% 51.99/7.90  % ------ Preprocessing... sup_sim: 21  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 51.99/7.90  
% 51.99/7.90  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 51.99/7.90  
% 51.99/7.90  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 51.99/7.90  % ------ Proving...
% 51.99/7.90  % ------ Problem Properties 
% 51.99/7.90  
% 51.99/7.90  % 
% 51.99/7.90  % clauses                               322
% 51.99/7.90  % conjectures                           0
% 51.99/7.90  % EPR                                   8
% 51.99/7.90  % Horn                                  243
% 51.99/7.90  % unary                                 79
% 51.99/7.90  % binary                                122
% 51.99/7.90  % lits                                  825
% 51.99/7.90  % lits eq                               203
% 51.99/7.90  % fd_pure                               0
% 51.99/7.90  % fd_pseudo                             0
% 51.99/7.90  % fd_cond                               11
% 51.99/7.90  % fd_pseudo_cond                        58
% 51.99/7.90  % AC symbols                            0
% 51.99/7.90  
% 51.99/7.90  % ------ Schedule dynamic 5 is on 
% 51.99/7.90  
% 51.99/7.90  % ------ no conjectures: strip conj schedule 
% 51.99/7.90  
% 51.99/7.90  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 51.99/7.90  
% 51.99/7.90  
% 51.99/7.90  % ------ 
% 51.99/7.90  % Current options:
% 51.99/7.90  % ------ 
% 51.99/7.90  
% 51.99/7.90  
% 51.99/7.90  % 
% 51.99/7.90  
% 51.99/7.90  % ------ Proving...
% 51.99/7.90  % 
% 51.99/7.90  
% 51.99/7.90  % SZS status Theorem for theBenchmark.p
% 51.99/7.90  
% 51.99/7.90  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 52.02/7.90  
% 52.02/7.90  
%------------------------------------------------------------------------------