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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUN074+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 : Tue Sep 29 12:26:44 PM UTC 2026

% Result   : Theorem 99.45s 27.75s
% Output   : Refutation 191.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  374 (  75 unt;  22 def)
%            Number of atoms       :  923 ( 280 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  840 ( 291   ~; 455   |;  72   &)
%                                         (  22 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   28 (  26 usr;  23 prp; 0-3 aty)
%            Number of functors    :   28 (  28 usr;   1 con; 0-2 aty)
%            Number of variables   :  299 (   0 sgn 261   !;  38   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ? [X0] :
    ! [X1] :
      ( ( ~ r1(X1)
        & X1 != X0 )
      | ( r1(X1)
        & X1 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f2,axiom,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( ~ r2(X0,X2)
        & X2 != X1 )
      | ( r2(X0,X2)
        & X2 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f3,axiom,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( ( ~ r3(X0,X1,X3)
        & X3 != X2 )
      | ( r3(X0,X1,X3)
        & X3 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f4,axiom,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( ( ~ r4(X0,X1,X3)
        & X3 != X2 )
      | ( r4(X0,X1,X3)
        & X3 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f5,axiom,
    ! [X0,X1] :
    ? [X2] :
      ( ? [X3] :
          ( ? [X4] :
              ( r2(X1,X4)
              & r3(X0,X4,X3) )
          & X3 = X2 )
      & ? [X5] :
          ( r2(X5,X2)
          & r3(X0,X1,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).

fof(f6,axiom,
    ! [X0,X1] :
    ? [X2] :
      ( ? [X3] :
          ( ? [X4] :
              ( r2(X1,X4)
              & r4(X0,X4,X3) )
          & X3 = X2 )
      & ? [X5] :
          ( r3(X5,X0,X2)
          & r4(X0,X1,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( ! [X3] :
              ( ~ r2(X0,X3)
              | X3 != X2 )
          | ~ r2(X1,X2) )
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3a) ).

fof(f8,axiom,
    ! [X0] :
    ? [X1] :
      ( ? [X2] :
          ( r1(X2)
          & r3(X0,X2,X1) )
      & X1 = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).

fof(f9,axiom,
    ! [X0] :
    ? [X1] :
      ( ? [X2] :
          ( r1(X2)
          & r4(X0,X2,X1) )
      & ? [X3] :
          ( r1(X3)
          & X1 = X3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a) ).

fof(f10,axiom,
    ! [X0] :
      ( ? [X1] :
          ( r1(X1)
          & X0 = X1 )
      | ? [X2,X3] :
          ( r2(X2,X3)
          & X0 = X3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6a) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ r1(X2)
          | X2 != X1 )
      | ~ r2(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a) ).

fof(f12,conjecture,
    ? [X0] :
      ( ! [X1,X2] :
          ( ! [X3,X4] :
              ( ~ r3(X1,X3,X4)
              | X4 != X0 )
          | ! [X5,X6] :
              ( ~ r3(X2,X5,X6)
              | X6 != X0 )
          | ! [X7] :
              ( ~ r4(X1,X2,X7)
              | X7 != X0 )
          | ? [X8] :
              ( X1 = X8
              & ? [X9] :
                  ( r1(X9)
                  & r2(X9,X8) ) )
          | ? [X10] :
              ( X2 = X10
              & ? [X11] :
                  ( r1(X11)
                  & r2(X11,X10) ) ) )
      & ! [X12] :
          ( ~ r1(X12)
          | X0 != X12 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',primeexist) ).

fof(f13,negated_conjecture,
    ~ ? [X0] :
        ( ! [X1,X2] :
            ( ! [X3,X4] :
                ( ~ r3(X1,X3,X4)
                | X4 != X0 )
            | ! [X5,X6] :
                ( ~ r3(X2,X5,X6)
                | X6 != X0 )
            | ! [X7] :
                ( ~ r4(X1,X2,X7)
                | X7 != X0 )
            | ? [X8] :
                ( X1 = X8
                & ? [X9] :
                    ( r1(X9)
                    & r2(X9,X8) ) )
            | ? [X10] :
                ( X2 = X10
                & ? [X11] :
                    ( r1(X11)
                    & r2(X11,X10) ) ) )
        & ! [X12] :
            ( ~ r1(X12)
            | X0 != X12 ) ),
    inference(negated_conjecture,[status(cth)],[f12]) ).

fof(f14,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( ? [X3,X4] :
              ( r3(X1,X3,X4)
              & X0 = X4 )
          & ? [X5,X6] :
              ( r3(X2,X5,X6)
              & X0 = X6 )
          & ? [X7] :
              ( r4(X1,X2,X7)
              & X0 = X7 )
          & ! [X8] :
              ( X1 != X8
              | ! [X9] :
                  ( ~ r1(X9)
                  | ~ r2(X9,X8) ) )
          & ! [X10] :
              ( X2 != X10
              | ! [X11] :
                  ( ~ r1(X11)
                  | ~ r2(X11,X10) ) ) )
      | ? [X12] :
          ( r1(X12)
          & X0 = X12 ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f15,plain,
    ! [X0] :
      ( ( r3(sK0(X0),sK2(X0),sK3(X0))
        & sK3(X0) = X0
        & r3(sK1(X0),sK4(X0),sK5(X0))
        & sK5(X0) = X0
        & r4(sK0(X0),sK1(X0),sK6(X0))
        & sK6(X0) = X0
        & ! [X8] :
            ( sK0(X0) != X8
            | ! [X9] :
                ( ~ r1(X9)
                | ~ r2(X9,X8) ) )
        & ! [X10] :
            ( sK1(X0) != X10
            | ! [X11] :
                ( ~ r1(X11)
                | ~ r2(X11,X10) ) ) )
      | ( r1(sK7(X0))
        & sK7(X0) = X0 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0)),skolemize(X3,sK2(X0)),skolemize(X4,sK3(X0)),skolemize(X5,sK4(X0)),skolemize(X6,sK5(X0)),skolemize(X7,sK6(X0)),skolemize(X12,sK7(X0))],[f14]) ).

fof(f16,plain,
    ! [X0] :
      ( ( r1(sK8(X0))
        & sK8(X0) = X0 )
      | ( r2(sK9(X0),sK10(X0))
        & sK10(X0) = X0 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X1,sK8(X0)),skolemize(X2,sK9(X0)),skolemize(X3,sK10(X0))],[f10]) ).

fof(f17,plain,
    ! [X1] :
      ( ( ~ r1(X1)
        & sK11 != X1 )
      | ( r1(X1)
        & sK11 = X1 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X0,sK11)],[f1]) ).

fof(f18,plain,
    ! [X0,X2] :
      ( ( ~ r2(X0,X2)
        & sK12(X0) != X2 )
      | ( r2(X0,X2)
        & sK12(X0) = X2 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X1,sK12(X0))],[f2]) ).

fof(f19,plain,
    ! [X0] :
      ( r1(sK14(X0))
      & r3(X0,sK14(X0),sK13(X0))
      & sK13(X0) = X0 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X1,sK13(X0)),skolemize(X2,sK14(X0))],[f8]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( r2(X1,sK17(X0,X1))
      & r3(X0,sK17(X0,X1),sK16(X0,X1))
      & sK15(X0,X1) = sK16(X0,X1)
      & r2(sK18(X0,X1),sK15(X0,X1))
      & r3(X0,X1,sK18(X0,X1)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18]),skolemize(X2,sK15(X0,X1)),skolemize(X3,sK16(X0,X1)),skolemize(X4,sK17(X0,X1)),skolemize(X5,sK18(X0,X1))],[f5]) ).

fof(f21,plain,
    ! [X0,X1,X3] :
      ( ( ~ r3(X0,X1,X3)
        & sK19(X0,X1) != X3 )
      | ( r3(X0,X1,X3)
        & sK19(X0,X1) = X3 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X2,sK19(X0,X1))],[f3]) ).

fof(f22,plain,
    ! [X0] :
      ( r1(sK21(X0))
      & r4(X0,sK21(X0),sK20(X0))
      & r1(sK22(X0))
      & sK20(X0) = sK22(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22]),skolemize(X1,sK20(X0)),skolemize(X2,sK21(X0)),skolemize(X3,sK22(X0))],[f9]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( r2(X1,sK25(X0,X1))
      & r4(X0,sK25(X0,X1),sK24(X0,X1))
      & sK23(X0,X1) = sK24(X0,X1)
      & r3(sK26(X0,X1),X0,sK23(X0,X1))
      & r4(X0,X1,sK26(X0,X1)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24,sK25,sK26]),skolemize(X2,sK23(X0,X1)),skolemize(X3,sK24(X0,X1)),skolemize(X4,sK25(X0,X1)),skolemize(X5,sK26(X0,X1))],[f6]) ).

fof(f24,plain,
    ! [X0,X1,X3] :
      ( ( ~ r4(X0,X1,X3)
        & sK27(X0,X1) != X3 )
      | ( r4(X0,X1,X3)
        & sK27(X0,X1) = X3 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X2,sK27(X0,X1))],[f4]) ).

fof(f25,plain,
    ! [X10,X0,X11] :
      ( sK1(X0) != X10
      | ~ r1(X11)
      | ~ r2(X11,X10)
      | sK7(X0) = X0 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f28,plain,
    ! [X0,X8,X9] :
      ( sK0(X0) != X8
      | ~ r1(X9)
      | ~ r2(X9,X8)
      | r1(sK7(X0)) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f29,plain,
    ! [X0] :
      ( sK7(X0) = X0
      | sK6(X0) = X0 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f30,plain,
    ! [X0] :
      ( sK6(X0) = X0
      | r1(sK7(X0)) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f31,plain,
    ! [X0] :
      ( r4(sK0(X0),sK1(X0),sK6(X0))
      | sK7(X0) = X0 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f32,plain,
    ! [X0] :
      ( r4(sK0(X0),sK1(X0),sK6(X0))
      | r1(sK7(X0)) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f33,plain,
    ! [X0] :
      ( sK7(X0) = X0
      | sK5(X0) = X0 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f34,plain,
    ! [X0] :
      ( sK5(X0) = X0
      | r1(sK7(X0)) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f35,plain,
    ! [X0] :
      ( r3(sK1(X0),sK4(X0),sK5(X0))
      | sK7(X0) = X0 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f36,plain,
    ! [X0] :
      ( r3(sK1(X0),sK4(X0),sK5(X0))
      | r1(sK7(X0)) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f37,plain,
    ! [X0] :
      ( sK3(X0) = X0
      | sK7(X0) = X0 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f38,plain,
    ! [X0] :
      ( sK3(X0) = X0
      | r1(sK7(X0)) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f39,plain,
    ! [X0] :
      ( r3(sK0(X0),sK2(X0),sK3(X0))
      | sK7(X0) = X0 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f40,plain,
    ! [X0] :
      ( r3(sK0(X0),sK2(X0),sK3(X0))
      | r1(sK7(X0)) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f41,plain,
    ! [X2,X0,X1] :
      ( ~ r1(X2)
      | X1 != X2
      | ~ r2(X0,X1) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f42,plain,
    ! [X0] :
      ( sK8(X0) = X0
      | sK10(X0) = X0 ),
    inference(cnf_transformation,[],[f16]) ).

fof(f43,plain,
    ! [X0] :
      ( r2(sK9(X0),sK10(X0))
      | sK8(X0) = X0 ),
    inference(cnf_transformation,[],[f16]) ).

fof(f44,plain,
    ! [X0] :
      ( sK10(X0) = X0
      | r1(sK8(X0)) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f45,plain,
    ! [X0] :
      ( r2(sK9(X0),sK10(X0))
      | r1(sK8(X0)) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f47,plain,
    ! [X1] :
      ( sK11 != X1
      | r1(X1) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f48,plain,
    ! [X1] :
      ( ~ r1(X1)
      | sK11 = X1 ),
    inference(cnf_transformation,[],[f17]) ).

fof(f50,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r2(X0,X3)
      | X2 != X3
      | ~ r2(X1,X2)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f52,plain,
    ! [X2,X0] :
      ( sK12(X0) != X2
      | r2(X0,X2) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f53,plain,
    ! [X2,X0] :
      ( ~ r2(X0,X2)
      | sK12(X0) = X2 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f55,plain,
    ! [X0] : sK13(X0) = X0,
    inference(cnf_transformation,[],[f19]) ).

fof(f56,plain,
    ! [X0] : r3(X0,sK14(X0),sK13(X0)),
    inference(cnf_transformation,[],[f19]) ).

fof(f57,plain,
    ! [X0] : r1(sK14(X0)),
    inference(cnf_transformation,[],[f19]) ).

fof(f58,plain,
    ! [X0,X1] : r3(X0,X1,sK18(X0,X1)),
    inference(cnf_transformation,[],[f20]) ).

fof(f59,plain,
    ! [X0,X1] : r2(sK18(X0,X1),sK15(X0,X1)),
    inference(cnf_transformation,[],[f20]) ).

fof(f60,plain,
    ! [X0,X1] : sK15(X0,X1) = sK16(X0,X1),
    inference(cnf_transformation,[],[f20]) ).

fof(f61,plain,
    ! [X0,X1] : r3(X0,sK17(X0,X1),sK16(X0,X1)),
    inference(cnf_transformation,[],[f20]) ).

fof(f62,plain,
    ! [X0,X1] : r2(X1,sK17(X0,X1)),
    inference(cnf_transformation,[],[f20]) ).

fof(f65,plain,
    ! [X3,X0,X1] :
      ( ~ r3(X0,X1,X3)
      | sK19(X0,X1) = X3 ),
    inference(cnf_transformation,[],[f21]) ).

fof(f67,plain,
    ! [X0] : sK20(X0) = sK22(X0),
    inference(cnf_transformation,[],[f22]) ).

fof(f68,plain,
    ! [X0] : r1(sK22(X0)),
    inference(cnf_transformation,[],[f22]) ).

fof(f69,plain,
    ! [X0] : r4(X0,sK21(X0),sK20(X0)),
    inference(cnf_transformation,[],[f22]) ).

fof(f70,plain,
    ! [X0] : r1(sK21(X0)),
    inference(cnf_transformation,[],[f22]) ).

fof(f71,plain,
    ! [X0,X1] : r4(X0,X1,sK26(X0,X1)),
    inference(cnf_transformation,[],[f23]) ).

fof(f72,plain,
    ! [X0,X1] : r3(sK26(X0,X1),X0,sK23(X0,X1)),
    inference(cnf_transformation,[],[f23]) ).

fof(f73,plain,
    ! [X0,X1] : sK23(X0,X1) = sK24(X0,X1),
    inference(cnf_transformation,[],[f23]) ).

fof(f74,plain,
    ! [X0,X1] : r4(X0,sK25(X0,X1),sK24(X0,X1)),
    inference(cnf_transformation,[],[f23]) ).

fof(f75,plain,
    ! [X0,X1] : r2(X1,sK25(X0,X1)),
    inference(cnf_transformation,[],[f23]) ).

fof(f78,plain,
    ! [X3,X0,X1] :
      ( ~ r4(X0,X1,X3)
      | sK27(X0,X1) = X3 ),
    inference(cnf_transformation,[],[f24]) ).

fof(f80,plain,
    ! [X0,X1] : r2(sK18(X0,X1),sK16(X0,X1)),
    inference(definition_unfolding,[],[f59,f60]) ).

fof(f81,plain,
    ! [X0] : r4(X0,sK21(X0),sK22(X0)),
    inference(definition_unfolding,[],[f69,f67]) ).

fof(f82,plain,
    ! [X0,X1] : r3(sK26(X0,X1),X0,sK24(X0,X1)),
    inference(definition_unfolding,[],[f72,f73]) ).

fof(f83,plain,
    ! [X0,X9] :
      ( ~ r2(X9,sK0(X0))
      | ~ r1(X9)
      | r1(sK7(X0)) ),
    inference(equality_resolution,[],[f28]) ).

fof(f86,plain,
    ! [X0,X11] :
      ( ~ r1(X11)
      | ~ r2(X11,sK1(X0))
      | sK7(X0) = X0 ),
    inference(equality_resolution,[],[f25]) ).

fof(f87,plain,
    ! [X2,X0] :
      ( ~ r1(X2)
      | ~ r2(X0,X2) ),
    inference(equality_resolution,[],[f41]) ).

fof(f88,plain,
    r1(sK11),
    inference(equality_resolution,[],[f47]) ).

fof(f90,plain,
    ! [X3,X0,X1] :
      ( ~ r2(X0,X3)
      | ~ r2(X1,X3)
      | X0 = X1 ),
    inference(equality_resolution,[],[f50]) ).

fof(f91,plain,
    ! [X0] : r2(X0,sK12(X0)),
    inference(equality_resolution,[],[f52]) ).

fof(f98,plain,
    ! [X0] :
      ( r3(sK0(X0),sK2(X0),X0)
      | sK7(X0) = X0
      | sK7(X0) = X0 ),
    inference(superposition,[],[f39,f37]) ).

fof(f99,plain,
    ! [X0] :
      ( r3(sK0(X0),sK2(X0),X0)
      | sK7(X0) = X0 ),
    inference(duplicate_literal_removal,[],[f98]) ).

fof(f102,plain,
    ! [X0] : ~ r2(X0,sK11),
    inference(resolution,[],[f88,f87]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ~ r2(sK21(X0),sK1(X1))
      | sK7(X1) = X1 ),
    inference(resolution,[],[f70,f86]) ).

fof(f112,plain,
    ! [X0] :
      ( sK3(X0) = sK19(sK0(X0),sK2(X0))
      | r1(sK7(X0)) ),
    inference(resolution,[],[f65,f40]) ).

fof(f113,plain,
    ! [X0] :
      ( sK3(X0) = sK19(sK0(X0),sK2(X0))
      | sK7(X0) = X0 ),
    inference(resolution,[],[f65,f39]) ).

fof(f114,plain,
    ! [X0] :
      ( sK19(sK0(X0),sK2(X0)) = X0
      | sK7(X0) = X0 ),
    inference(resolution,[],[f65,f99]) ).

fof(f115,plain,
    ! [X0] :
      ( sK5(X0) = sK19(sK1(X0),sK4(X0))
      | r1(sK7(X0)) ),
    inference(resolution,[],[f65,f36]) ).

fof(f117,plain,
    ! [X0] : sK13(X0) = sK19(X0,sK14(X0)),
    inference(resolution,[],[f65,f56]) ).

fof(f122,plain,
    ! [X0] :
      ( r4(sK0(X0),sK1(X0),X0)
      | r1(sK7(X0))
      | r1(sK7(X0)) ),
    inference(superposition,[],[f32,f30]) ).

fof(f124,plain,
    ! [X0] :
      ( r4(sK0(X0),sK1(X0),X0)
      | r1(sK7(X0)) ),
    inference(duplicate_literal_removal,[],[f122]) ).

fof(f125,plain,
    ! [X0] :
      ( r3(sK0(X0),sK2(X0),X0)
      | r1(sK7(X0))
      | r1(sK7(X0)) ),
    inference(superposition,[],[f40,f38]) ).

fof(f127,plain,
    ! [X0] :
      ( r3(sK0(X0),sK2(X0),X0)
      | r1(sK7(X0)) ),
    inference(duplicate_literal_removal,[],[f125]) ).

fof(f128,plain,
    ! [X0] :
      ( r1(sK7(X0))
      | sK19(sK0(X0),sK2(X0)) = X0 ),
    inference(resolution,[],[f127,f65]) ).

fof(f129,plain,
    ! [X0] :
      ( r3(sK1(X0),sK4(X0),X0)
      | r1(sK7(X0))
      | r1(sK7(X0)) ),
    inference(superposition,[],[f36,f34]) ).

fof(f131,plain,
    ! [X0] :
      ( r3(sK1(X0),sK4(X0),X0)
      | r1(sK7(X0)) ),
    inference(duplicate_literal_removal,[],[f129]) ).

fof(f132,plain,
    ! [X0] :
      ( sK19(sK1(X0),sK4(X0)) = X0
      | r1(sK7(X0)) ),
    inference(resolution,[],[f131,f65]) ).

fof(f137,plain,
    ! [X0] :
      ( sK27(sK0(X0),sK1(X0)) = X0
      | r1(sK7(X0)) ),
    inference(resolution,[],[f78,f124]) ).

fof(f138,plain,
    ! [X0] : sK22(X0) = sK27(X0,sK21(X0)),
    inference(resolution,[],[f78,f81]) ).

fof(f145,plain,
    ! [X0,X1] : sK16(X0,X1) = sK19(X0,sK17(X0,X1)),
    inference(resolution,[],[f61,f65]) ).

fof(f152,plain,
    ! [X0,X1] : sK18(X0,X1) = sK19(X0,X1),
    inference(resolution,[],[f58,f65]) ).

fof(f155,plain,
    ! [X0] : sK19(X0,sK14(X0)) = X0,
    inference(forward_demodulation,[],[f117,f55]) ).

fof(f156,plain,
    ! [X0,X1] : r2(sK19(X0,X1),sK16(X0,X1)),
    inference(superposition,[],[f80,f152]) ).

fof(f159,plain,
    ! [X0] : sK11 = sK14(X0),
    inference(resolution,[],[f48,f57]) ).

fof(f160,plain,
    ! [X0] : sK11 = sK21(X0),
    inference(resolution,[],[f48,f70]) ).

fof(f161,plain,
    ! [X0] : sK11 = sK22(X0),
    inference(resolution,[],[f48,f68]) ).

fof(f167,plain,
    ! [X0] : sK22(X0) = sK27(X0,sK11),
    inference(superposition,[],[f138,f160]) ).

fof(f171,plain,
    ! [X0] : sK11 = sK27(X0,sK11),
    inference(forward_demodulation,[],[f167,f161]) ).

fof(f172,plain,
    ! [X0,X1] : sK24(X0,X1) = sK19(sK26(X0,X1),X0),
    inference(resolution,[],[f82,f65]) ).

fof(f183,plain,
    ! [X1] :
      ( ~ r2(sK11,sK1(X1))
      | sK7(X1) = X1 ),
    inference(forward_demodulation,[],[f110,f160]) ).

fof(f187,plain,
    ! [X0,X1] : sK26(X0,X1) = sK27(X0,X1),
    inference(resolution,[],[f71,f78]) ).

fof(f189,plain,
    ! [X0,X1] : sK24(X0,X1) = sK19(sK27(X0,X1),X0),
    inference(superposition,[],[f172,f187]) ).

fof(f191,plain,
    ! [X0] :
      ( r1(sK7(X0))
      | sK24(sK0(X0),sK1(X0)) = sK19(X0,sK0(X0)) ),
    inference(superposition,[],[f189,f137]) ).

fof(f194,plain,
    ! [X0] : sK24(X0,sK21(X0)) = sK19(sK22(X0),X0),
    inference(superposition,[],[f189,f138]) ).

fof(f196,plain,
    ! [X0] : sK24(X0,sK21(X0)) = sK19(sK11,X0),
    inference(forward_demodulation,[],[f194,f161]) ).

fof(f197,plain,
    ! [X0] : sK19(sK11,X0) = sK24(X0,sK11),
    inference(forward_demodulation,[],[f196,f160]) ).

fof(f206,plain,
    ! [X0,X1] : sK24(X0,X1) = sK27(X0,sK25(X0,X1)),
    inference(resolution,[],[f74,f78]) ).

fof(f221,plain,
    ! [X0,X1] : sK16(X0,X1) = sK12(sK18(X0,X1)),
    inference(resolution,[],[f53,f80]) ).

fof(f222,plain,
    ! [X0,X1] : sK16(X0,X1) = sK12(sK19(X0,X1)),
    inference(forward_demodulation,[],[f221,f152]) ).

fof(f223,plain,
    ! [X0,X1] : sK12(X0) = sK25(X1,X0),
    inference(resolution,[],[f75,f53]) ).

fof(f224,plain,
    ! [X0] : sK19(X0,sK11) = X0,
    inference(forward_demodulation,[],[f155,f159]) ).

fof(f229,plain,
    ! [X0] : sK24(sK11,X0) = sK27(sK11,X0),
    inference(superposition,[],[f189,f224]) ).

fof(f241,plain,
    ! [X0,X1] : sK12(X0) = sK17(X1,X0),
    inference(resolution,[],[f62,f53]) ).

fof(f245,plain,
    ! [X0,X1] : sK16(X1,X0) = sK19(X1,sK12(X0)),
    inference(superposition,[],[f145,f241]) ).

fof(f266,plain,
    ! [X0,X1] : sK24(X1,X0) = sK27(X1,sK12(X0)),
    inference(superposition,[],[f206,f223]) ).

fof(f268,plain,
    ! [X0,X1] : sK19(sK24(X0,X1),X0) = sK24(X0,sK12(X1)),
    inference(superposition,[],[f189,f266]) ).

fof(f271,plain,
    ! [X0] : sK24(X0,sK12(sK11)) = sK19(sK19(sK11,X0),X0),
    inference(superposition,[],[f268,f197]) ).

fof(f286,plain,
    ! [X0] : sK24(sK12(X0),sK12(sK11)) = sK16(sK19(sK11,sK12(X0)),X0),
    inference(superposition,[],[f271,f245]) ).

fof(f292,plain,
    ! [X0] : sK24(sK12(X0),sK12(sK11)) = sK16(sK16(sK11,X0),X0),
    inference(forward_demodulation,[],[f286,f245]) ).

fof(f304,plain,
    ! [X0] : r2(sK18(sK16(sK11,X0),X0),sK24(sK12(X0),sK12(sK11))),
    inference(superposition,[],[f80,f292]) ).

fof(f307,plain,
    ! [X0] : r2(sK19(sK16(sK11,X0),X0),sK24(sK12(X0),sK12(sK11))),
    inference(forward_demodulation,[],[f304,f152]) ).

fof(f325,plain,
    ! [X0,X1] :
      ( ~ r2(X0,sK12(X1))
      | X0 = X1 ),
    inference(resolution,[],[f90,f91]) ).

fof(f348,plain,
    ! [X0] : sK12(X0) = sK16(X0,sK11),
    inference(superposition,[],[f222,f224]) ).

fof(f350,plain,
    ! [X0] :
      ( r1(sK7(X0))
      | sK16(sK0(X0),sK2(X0)) = sK12(sK3(X0)) ),
    inference(superposition,[],[f222,f112]) ).

fof(f352,plain,
    ! [X0] :
      ( sK12(X0) = sK16(sK0(X0),sK2(X0))
      | sK7(X0) = X0 ),
    inference(superposition,[],[f222,f114]) ).

fof(f353,plain,
    ! [X0] :
      ( sK12(X0) = sK16(sK1(X0),sK4(X0))
      | r1(sK7(X0)) ),
    inference(superposition,[],[f222,f132]) ).

fof(f521,plain,
    ! [X0] :
      ( r2(sK3(X0),sK16(sK0(X0),sK2(X0)))
      | r1(sK7(X0)) ),
    inference(superposition,[],[f156,f112]) ).

fof(f522,plain,
    ! [X0] :
      ( r2(sK3(X0),sK16(sK0(X0),sK2(X0)))
      | sK7(X0) = X0 ),
    inference(superposition,[],[f156,f113]) ).

fof(f525,plain,
    ! [X0] :
      ( r2(sK5(X0),sK16(sK1(X0),sK4(X0)))
      | r1(sK7(X0)) ),
    inference(superposition,[],[f156,f115]) ).

fof(f618,plain,
    ! [X0] :
      ( sK24(sK0(X0),sK1(X0)) = sK19(X0,sK0(X0))
      | sK7(X0) = sK11 ),
    inference(resolution,[],[f191,f48]) ).

fof(f814,plain,
    ! [X0] :
      ( r2(sK9(X0),X0)
      | r1(sK8(X0))
      | r1(sK8(X0)) ),
    inference(superposition,[],[f45,f44]) ).

fof(f815,plain,
    ! [X0] :
      ( r1(sK8(X0))
      | r2(sK9(X0),X0) ),
    inference(duplicate_literal_removal,[],[f814]) ).

fof(f816,plain,
    ! [X0] :
      ( sK8(X0) = sK11
      | r2(sK9(X0),X0) ),
    inference(resolution,[],[f815,f48]) ).

fof(f978,plain,
    ! [X0] :
      ( r2(sK3(X0),sK12(X0))
      | sK7(X0) = X0
      | sK7(X0) = X0 ),
    inference(superposition,[],[f522,f352]) ).

fof(f979,plain,
    ! [X0] :
      ( r2(sK3(X0),sK12(X0))
      | sK7(X0) = X0 ),
    inference(duplicate_literal_removal,[],[f978]) ).

fof(f983,plain,
    ! [X0] :
      ( sK7(X0) = X0
      | sK12(X0) = sK12(sK3(X0)) ),
    inference(resolution,[],[f979,f53]) ).

fof(f1131,plain,
    ! [X0] :
      ( r2(sK5(X0),sK12(X0))
      | r1(sK7(X0))
      | r1(sK7(X0)) ),
    inference(superposition,[],[f525,f353]) ).

fof(f1132,plain,
    ! [X0] :
      ( r1(sK7(X0))
      | r2(sK5(X0),sK12(X0)) ),
    inference(duplicate_literal_removal,[],[f1131]) ).

fof(f1141,plain,
    ! [X0] :
      ( r1(X0)
      | r2(sK5(X0),sK12(X0))
      | sK5(X0) = X0 ),
    inference(superposition,[],[f1132,f33]) ).

fof(f1143,plain,
    ! [X0] :
      ( r1(X0)
      | sK5(X0) = X0 ),
    inference(forward_subsumption_resolution,[],[f1141,f325]) ).

fof(f1144,plain,
    ! [X0] :
      ( sK5(X0) = X0
      | sK11 = X0 ),
    inference(resolution,[],[f1143,f48]) ).

fof(f1148,plain,
    ! [X0] :
      ( r3(sK1(X0),sK4(X0),X0)
      | sK7(X0) = X0
      | sK11 = X0 ),
    inference(superposition,[],[f35,f1144]) ).

fof(f1212,plain,
    ! [X0] :
      ( r2(X0,sK16(sK0(X0),sK2(X0)))
      | r1(sK7(X0))
      | r1(sK7(X0)) ),
    inference(superposition,[],[f521,f38]) ).

fof(f1216,plain,
    ! [X0] :
      ( r2(X0,sK16(sK0(X0),sK2(X0)))
      | r1(sK7(X0)) ),
    inference(duplicate_literal_removal,[],[f1212]) ).

fof(f1219,plain,
    ! [X0] :
      ( r1(sK7(X0))
      | sK12(X0) = sK16(sK0(X0),sK2(X0)) ),
    inference(resolution,[],[f1216,f53]) ).

fof(f1439,plain,
    ! [X0] :
      ( sK10(X0) = X0
      | sK11 = X0
      | r2(sK9(X0),X0) ),
    inference(superposition,[],[f42,f816]) ).

fof(f1645,plain,
    ! [X0] :
      ( sK19(sK1(X0),sK4(X0)) = X0
      | sK11 = X0
      | sK7(X0) = X0 ),
    inference(resolution,[],[f1148,f65]) ).

fof(f2613,plain,
    ! [X0] :
      ( r2(sK9(X0),X0)
      | sK8(X0) = X0
      | sK11 = X0
      | r2(sK9(X0),X0) ),
    inference(superposition,[],[f43,f1439]) ).

fof(f2615,plain,
    ! [X0] :
      ( sK8(X0) = X0
      | r2(sK9(X0),X0)
      | sK11 = X0 ),
    inference(duplicate_literal_removal,[],[f2613]) ).

fof(f2616,plain,
    ! [X0] :
      ( sK11 = X0
      | r2(sK9(X0),X0)
      | sK11 = X0
      | r2(sK9(X0),X0) ),
    inference(superposition,[],[f2615,f816]) ).

fof(f2625,plain,
    ! [X0] :
      ( r2(sK9(X0),X0)
      | sK11 = X0 ),
    inference(duplicate_literal_removal,[],[f2616]) ).

fof(f2628,plain,
    ! [X0] :
      ( sK12(sK9(X0)) = X0
      | sK11 = X0 ),
    inference(resolution,[],[f2625,f53]) ).

fof(f2639,plain,
    ! [X0] :
      ( sK9(sK12(X0)) = X0
      | sK11 = sK12(X0) ),
    inference(resolution,[],[f2625,f325]) ).

fof(f2643,plain,
    ! [X0,X1] :
      ( sK16(X1,sK9(X0)) = sK19(X1,X0)
      | sK11 = X0 ),
    inference(superposition,[],[f245,f2628]) ).

fof(f2683,plain,
    ! [X0,X1] :
      ( r2(sK19(X0,sK9(X1)),sK19(X0,X1))
      | sK11 = X1 ),
    inference(superposition,[],[f156,f2643]) ).

fof(f3129,plain,
    ! [X0,X1] :
      ( r2(sK19(X0,sK9(sK12(X1))),sK16(X0,X1))
      | sK11 = sK12(X1) ),
    inference(superposition,[],[f2683,f245]) ).

fof(f3175,definition,
    ( spl28_1
  <=> sK11 = sK12(sK12(sK11)) ),
    introduced(definition,[new_symbols(definition,[spl28_1])],[avatar_definition]) ).

fof(f3176,plain,
    ( sK11 != sK12(sK12(sK11))
    | spl28_1 ),
    inference(avatar_component_clause,[],[f3175]) ).

fof(f3177,plain,
    ( sK11 = sK12(sK12(sK11))
    | ~ spl28_1 ),
    inference(avatar_component_clause,[],[f3175]) ).

fof(f3184,definition,
    ( spl28_3
  <=> sK11 = sK12(sK11) ),
    introduced(definition,[new_symbols(definition,[spl28_3])],[avatar_definition]) ).

fof(f3185,plain,
    ( sK11 != sK12(sK11)
    | spl28_3 ),
    inference(avatar_component_clause,[],[f3184]) ).

fof(f3186,plain,
    ( sK11 = sK12(sK11)
    | ~ spl28_3 ),
    inference(avatar_component_clause,[],[f3184]) ).

fof(f3238,plain,
    ( r2(sK19(sK16(sK11,sK11),sK11),sK24(sK11,sK11))
    | ~ spl28_3 ),
    inference(superposition,[],[f307,f3186]) ).

fof(f3282,plain,
    ( r2(sK19(sK16(sK11,sK11),sK11),sK19(sK11,sK11))
    | ~ spl28_3 ),
    inference(forward_demodulation,[],[f3238,f197]) ).

fof(f3322,plain,
    ( r2(sK19(sK16(sK11,sK11),sK11),sK11)
    | ~ spl28_3 ),
    inference(forward_demodulation,[],[f3282,f224]) ).

fof(f3349,plain,
    ( $false
    | ~ spl28_3 ),
    inference(forward_subsumption_resolution,[],[f3322,f102]) ).

fof(f3350,plain,
    ~ spl28_3,
    inference(avatar_contradiction_clause,[],[f3349]) ).

fof(f3594,plain,
    ! [X0] :
      ( r2(sK19(X0,sK9(sK12(sK11))),sK12(X0))
      | sK11 = sK12(sK11) ),
    inference(superposition,[],[f3129,f348]) ).

fof(f3601,plain,
    ( ! [X0] : r2(sK19(X0,sK9(sK12(sK11))),sK12(X0))
    | spl28_3 ),
    inference(forward_subsumption_resolution,[],[f3594,f3185]) ).

fof(f3662,plain,
    ( ! [X0] : sK19(X0,sK9(sK12(sK11))) = X0
    | spl28_3 ),
    inference(resolution,[],[f3601,f325]) ).

fof(f4266,plain,
    ( r2(sK19(sK16(sK11,sK12(sK11)),sK12(sK11)),sK24(sK11,sK12(sK11)))
    | ~ spl28_1 ),
    inference(superposition,[],[f307,f3177]) ).

fof(f4309,plain,
    ( r2(sK19(sK16(sK11,sK12(sK11)),sK12(sK11)),sK27(sK11,sK12(sK11)))
    | ~ spl28_1 ),
    inference(forward_demodulation,[],[f4266,f229]) ).

fof(f4328,definition,
    ( spl28_19
  <=> ! [X0] : ~ r2(X0,sK12(sK11)) ),
    introduced(definition,[new_symbols(definition,[spl28_19])],[avatar_definition]) ).

fof(f4329,plain,
    ( ! [X0] : ~ r2(X0,sK12(sK11))
    | ~ spl28_19 ),
    inference(avatar_component_clause,[],[f4328]) ).

fof(f4331,definition,
    ( spl28_20
  <=> sK12(sK11) = sK6(sK12(sK11)) ),
    introduced(definition,[new_symbols(definition,[spl28_20])],[avatar_definition]) ).

fof(f4332,plain,
    ( sK12(sK11) != sK6(sK12(sK11))
    | spl28_20 ),
    inference(avatar_component_clause,[],[f4331]) ).

fof(f4333,plain,
    ( sK12(sK11) = sK6(sK12(sK11))
    | ~ spl28_20 ),
    inference(avatar_component_clause,[],[f4331]) ).

fof(f4342,plain,
    ( r2(sK19(sK16(sK11,sK12(sK11)),sK12(sK11)),sK24(sK11,sK11))
    | ~ spl28_1 ),
    inference(forward_demodulation,[],[f4309,f266]) ).

fof(f4359,plain,
    ( r2(sK19(sK16(sK11,sK12(sK11)),sK12(sK11)),sK19(sK11,sK11))
    | ~ spl28_1 ),
    inference(forward_demodulation,[],[f4342,f197]) ).

fof(f4371,plain,
    ( r2(sK19(sK16(sK11,sK12(sK11)),sK12(sK11)),sK11)
    | ~ spl28_1 ),
    inference(forward_demodulation,[],[f4359,f224]) ).

fof(f4380,plain,
    ( $false
    | ~ spl28_1 ),
    inference(forward_subsumption_resolution,[],[f4371,f102]) ).

fof(f4381,plain,
    ~ spl28_1,
    inference(avatar_contradiction_clause,[],[f4380]) ).

fof(f5071,definition,
    ( spl28_25
  <=> sK11 = sK7(sK12(sK11)) ),
    introduced(definition,[new_symbols(definition,[spl28_25])],[avatar_definition]) ).

fof(f5072,plain,
    ( sK11 != sK7(sK12(sK11))
    | spl28_25 ),
    inference(avatar_component_clause,[],[f5071]) ).

fof(f5073,plain,
    ( sK11 = sK7(sK12(sK11))
    | ~ spl28_25 ),
    inference(avatar_component_clause,[],[f5071]) ).

fof(f5273,definition,
    ( spl28_41
  <=> sK12(sK11) = sK7(sK12(sK11)) ),
    introduced(definition,[new_symbols(definition,[spl28_41])],[avatar_definition]) ).

fof(f5274,plain,
    ( sK12(sK11) != sK7(sK12(sK11))
    | spl28_41 ),
    inference(avatar_component_clause,[],[f5273]) ).

fof(f5275,plain,
    ( sK12(sK11) = sK7(sK12(sK11))
    | ~ spl28_41 ),
    inference(avatar_component_clause,[],[f5273]) ).

fof(f5277,definition,
    ( spl28_42
  <=> r4(sK0(sK12(sK11)),sK1(sK12(sK11)),sK12(sK11)) ),
    introduced(definition,[new_symbols(definition,[spl28_42])],[avatar_definition]) ).

fof(f5279,plain,
    ( r4(sK0(sK12(sK11)),sK1(sK12(sK11)),sK12(sK11))
    | ~ spl28_42 ),
    inference(avatar_component_clause,[],[f5277]) ).

fof(f5518,plain,
    ( sK11 = sK12(sK11)
    | ~ spl28_25
    | ~ spl28_41 ),
    inference(forward_demodulation,[],[f5275,f5073]) ).

fof(f5519,plain,
    ( $false
    | spl28_3
    | ~ spl28_25
    | ~ spl28_41 ),
    inference(forward_subsumption_resolution,[],[f5518,f3185]) ).

fof(f5520,plain,
    ( spl28_3
    | ~ spl28_25
    | ~ spl28_41 ),
    inference(avatar_contradiction_clause,[],[f5519]) ).

fof(f5561,plain,
    ( r4(sK0(sK12(sK11)),sK1(sK12(sK11)),sK12(sK11))
    | sK12(sK11) = sK7(sK12(sK11))
    | ~ spl28_20 ),
    inference(superposition,[],[f31,f4333]) ).

fof(f5566,plain,
    ( sK11 = sK12(sK11)
    | r4(sK0(sK12(sK11)),sK1(sK12(sK11)),sK12(sK11))
    | ~ spl28_20
    | ~ spl28_25 ),
    inference(forward_demodulation,[],[f5561,f5073]) ).

fof(f5567,plain,
    ( r4(sK0(sK12(sK11)),sK1(sK12(sK11)),sK12(sK11))
    | spl28_3
    | ~ spl28_20
    | ~ spl28_25 ),
    inference(forward_subsumption_resolution,[],[f5566,f3185]) ).

fof(f5568,plain,
    ( spl28_42
    | spl28_3
    | ~ spl28_20
    | ~ spl28_25 ),
    inference(avatar_split_clause,[],[f5567,f5071,f4331,f3184,f5277]) ).

fof(f6135,definition,
    ( spl28_53
  <=> sK11 = sK2(sK12(sK11)) ),
    introduced(definition,[new_symbols(definition,[spl28_53])],[avatar_definition]) ).

fof(f6137,plain,
    ( sK11 = sK2(sK12(sK11))
    | ~ spl28_53 ),
    inference(avatar_component_clause,[],[f6135]) ).

fof(f6139,definition,
    ( spl28_54
  <=> r2(sK19(sK0(sK12(sK11)),sK9(sK2(sK12(sK11)))),sK12(sK11)) ),
    introduced(definition,[new_symbols(definition,[spl28_54])],[avatar_definition]) ).

fof(f6141,plain,
    ( r2(sK19(sK0(sK12(sK11)),sK9(sK2(sK12(sK11)))),sK12(sK11))
    | ~ spl28_54 ),
    inference(avatar_component_clause,[],[f6139]) ).

fof(f6532,definition,
    ( spl28_55
  <=> sK11 = sK1(sK12(sK11)) ),
    introduced(definition,[new_symbols(definition,[spl28_55])],[avatar_definition]) ).

fof(f6534,plain,
    ( sK11 = sK1(sK12(sK11))
    | ~ spl28_55 ),
    inference(avatar_component_clause,[],[f6532]) ).

fof(f6549,plain,
    ( sK3(sK12(sK11)) = sK19(sK0(sK12(sK11)),sK11)
    | r1(sK7(sK12(sK11)))
    | ~ spl28_53 ),
    inference(superposition,[],[f112,f6137]) ).

fof(f6571,definition,
    ( spl28_57
  <=> r1(sK7(sK12(sK11))) ),
    introduced(definition,[new_symbols(definition,[spl28_57])],[avatar_definition]) ).

fof(f6572,plain,
    ( ~ r1(sK7(sK12(sK11)))
    | spl28_57 ),
    inference(avatar_component_clause,[],[f6571]) ).

fof(f6573,plain,
    ( r1(sK7(sK12(sK11)))
    | ~ spl28_57 ),
    inference(avatar_component_clause,[],[f6571]) ).

fof(f6581,plain,
    ( sK3(sK12(sK11)) = sK0(sK12(sK11))
    | r1(sK7(sK12(sK11)))
    | ~ spl28_53 ),
    inference(forward_demodulation,[],[f6549,f224]) ).

fof(f6614,definition,
    ( spl28_64
  <=> sK12(sK11) = sK0(sK12(sK11)) ),
    introduced(definition,[new_symbols(definition,[spl28_64])],[avatar_definition]) ).

fof(f6616,plain,
    ( sK12(sK11) = sK0(sK12(sK11))
    | ~ spl28_64 ),
    inference(avatar_component_clause,[],[f6614]) ).

fof(f6619,definition,
    ( spl28_65
  <=> sK3(sK12(sK11)) = sK0(sK12(sK11)) ),
    introduced(definition,[new_symbols(definition,[spl28_65])],[avatar_definition]) ).

fof(f6621,plain,
    ( sK3(sK12(sK11)) = sK0(sK12(sK11))
    | ~ spl28_65 ),
    inference(avatar_component_clause,[],[f6619]) ).

fof(f6623,plain,
    ( spl28_57
    | spl28_65
    | ~ spl28_53 ),
    inference(avatar_split_clause,[],[f6581,f6135,f6619,f6571]) ).

fof(f6638,plain,
    ( r1(sK12(sK11))
    | sK12(sK3(sK12(sK11))) = sK16(sK0(sK12(sK11)),sK2(sK12(sK11)))
    | ~ spl28_41 ),
    inference(superposition,[],[f350,f5275]) ).

fof(f6669,definition,
    ( spl28_67
  <=> r1(sK12(sK11)) ),
    introduced(definition,[new_symbols(definition,[spl28_67])],[avatar_definition]) ).

fof(f6671,plain,
    ( r1(sK12(sK11))
    | ~ spl28_67 ),
    inference(avatar_component_clause,[],[f6669]) ).

fof(f6708,definition,
    ( spl28_74
  <=> sK12(sK3(sK12(sK11))) = sK16(sK0(sK12(sK11)),sK2(sK12(sK11))) ),
    introduced(definition,[new_symbols(definition,[spl28_74])],[avatar_definition]) ).

fof(f6710,plain,
    ( sK12(sK3(sK12(sK11))) = sK16(sK0(sK12(sK11)),sK2(sK12(sK11)))
    | ~ spl28_74 ),
    inference(avatar_component_clause,[],[f6708]) ).

fof(f6711,plain,
    ( spl28_74
    | spl28_67
    | ~ spl28_41 ),
    inference(avatar_split_clause,[],[f6638,f5273,f6669,f6708]) ).

fof(f6713,definition,
    ( spl28_75
  <=> sK12(sK11) = sK19(sK0(sK12(sK11)),sK2(sK12(sK11))) ),
    introduced(definition,[new_symbols(definition,[spl28_75])],[avatar_definition]) ).

fof(f6715,plain,
    ( sK12(sK11) = sK19(sK0(sK12(sK11)),sK2(sK12(sK11)))
    | ~ spl28_75 ),
    inference(avatar_component_clause,[],[f6713]) ).

fof(f7405,plain,
    ( r2(sK19(sK0(sK12(sK11)),sK9(sK2(sK12(sK11)))),sK12(sK11))
    | sK11 = sK2(sK12(sK11))
    | ~ spl28_75 ),
    inference(superposition,[],[f2683,f6715]) ).

fof(f7410,plain,
    ( spl28_53
    | spl28_54
    | ~ spl28_75 ),
    inference(avatar_split_clause,[],[f7405,f6713,f6139,f6135]) ).

fof(f7687,plain,
    ( $false
    | ~ spl28_19 ),
    inference(resolution,[],[f4329,f91]) ).

fof(f7696,plain,
    ~ spl28_19,
    inference(avatar_contradiction_clause,[],[f7687]) ).

fof(f7702,plain,
    ( ! [X0] : ~ r2(X0,sK12(sK11))
    | ~ spl28_67 ),
    inference(resolution,[],[f6671,f87]) ).

fof(f7703,plain,
    ( spl28_19
    | ~ spl28_67 ),
    inference(avatar_split_clause,[],[f7702,f6669,f4328]) ).

fof(f9512,plain,
    ( sK11 = sK7(sK12(sK11))
    | ~ spl28_57 ),
    inference(resolution,[],[f6573,f48]) ).

fof(f9516,plain,
    ( r1(sK12(sK11))
    | sK12(sK11) = sK6(sK12(sK11))
    | ~ spl28_57 ),
    inference(superposition,[],[f6573,f29]) ).

fof(f9527,definition,
    ( spl28_152
  <=> sK12(sK12(sK11)) = sK12(sK3(sK12(sK11))) ),
    introduced(definition,[new_symbols(definition,[spl28_152])],[avatar_definition]) ).

fof(f9529,plain,
    ( sK12(sK12(sK11)) = sK12(sK3(sK12(sK11)))
    | ~ spl28_152 ),
    inference(avatar_component_clause,[],[f9527]) ).

fof(f9531,plain,
    ( spl28_20
    | spl28_67
    | ~ spl28_57 ),
    inference(avatar_split_clause,[],[f9516,f6571,f6669,f4331]) ).

fof(f9532,plain,
    ( spl28_25
    | ~ spl28_57 ),
    inference(avatar_split_clause,[],[f9512,f6571,f5071]) ).

fof(f9533,plain,
    ( sK12(sK11) = sK19(sK0(sK12(sK11)),sK2(sK12(sK11)))
    | spl28_57 ),
    inference(resolution,[],[f6572,f128]) ).

fof(f9606,definition,
    ( spl28_157
  <=> r3(sK1(sK12(sK11)),sK4(sK12(sK11)),sK12(sK11)) ),
    introduced(definition,[new_symbols(definition,[spl28_157])],[avatar_definition]) ).

fof(f9607,plain,
    ( ~ r3(sK1(sK12(sK11)),sK4(sK12(sK11)),sK12(sK11))
    | spl28_157 ),
    inference(avatar_component_clause,[],[f9606]) ).

fof(f9608,plain,
    ( r3(sK1(sK12(sK11)),sK4(sK12(sK11)),sK12(sK11))
    | ~ spl28_157 ),
    inference(avatar_component_clause,[],[f9606]) ).

fof(f9621,definition,
    ( spl28_158
  <=> sK11 = sK4(sK12(sK11)) ),
    introduced(definition,[new_symbols(definition,[spl28_158])],[avatar_definition]) ).

fof(f9623,plain,
    ( sK11 = sK4(sK12(sK11))
    | ~ spl28_158 ),
    inference(avatar_component_clause,[],[f9621]) ).

fof(f9625,definition,
    ( spl28_159
  <=> r2(sK19(sK1(sK12(sK11)),sK9(sK4(sK12(sK11)))),sK12(sK11)) ),
    introduced(definition,[new_symbols(definition,[spl28_159])],[avatar_definition]) ).

fof(f9627,plain,
    ( r2(sK19(sK1(sK12(sK11)),sK9(sK4(sK12(sK11)))),sK12(sK11))
    | ~ spl28_159 ),
    inference(avatar_component_clause,[],[f9625]) ).

fof(f9636,plain,
    ( sK12(sK11) = sK19(sK1(sK12(sK11)),sK11)
    | r1(sK7(sK12(sK11)))
    | ~ spl28_158 ),
    inference(superposition,[],[f132,f9623]) ).

fof(f9644,plain,
    ( sK12(sK11) = sK19(sK1(sK12(sK11)),sK11)
    | sK11 = sK12(sK11)
    | sK12(sK11) = sK7(sK12(sK11))
    | ~ spl28_158 ),
    inference(superposition,[],[f1645,f9623]) ).

fof(f9645,plain,
    ( sK12(sK11) = sK19(sK1(sK12(sK11)),sK11)
    | sK12(sK11) = sK7(sK12(sK11))
    | spl28_3
    | ~ spl28_158 ),
    inference(forward_subsumption_resolution,[],[f9644,f3185]) ).

fof(f9653,plain,
    ( sK12(sK11) = sK19(sK1(sK12(sK11)),sK11)
    | spl28_57
    | ~ spl28_158 ),
    inference(forward_subsumption_resolution,[],[f9636,f6572]) ).

fof(f9660,plain,
    ( sK12(sK11) = sK1(sK12(sK11))
    | sK12(sK11) = sK7(sK12(sK11))
    | spl28_3
    | ~ spl28_158 ),
    inference(forward_demodulation,[],[f9645,f224]) ).

fof(f9672,plain,
    ( sK12(sK11) = sK1(sK12(sK11))
    | spl28_57
    | ~ spl28_158 ),
    inference(forward_demodulation,[],[f9653,f224]) ).

fof(f9679,definition,
    ( spl28_161
  <=> sK12(sK11) = sK1(sK12(sK11)) ),
    introduced(definition,[new_symbols(definition,[spl28_161])],[avatar_definition]) ).

fof(f9681,plain,
    ( sK12(sK11) = sK1(sK12(sK11))
    | ~ spl28_161 ),
    inference(avatar_component_clause,[],[f9679]) ).

fof(f9682,plain,
    ( spl28_41
    | spl28_161
    | spl28_3
    | ~ spl28_158 ),
    inference(avatar_split_clause,[],[f9660,f9621,f3184,f9679,f5273]) ).

fof(f9697,plain,
    ( spl28_161
    | spl28_57
    | ~ spl28_158 ),
    inference(avatar_split_clause,[],[f9672,f9621,f6571,f9679]) ).

fof(f10791,plain,
    ( sK12(sK11) = sK27(sK0(sK12(sK11)),sK1(sK12(sK11)))
    | ~ spl28_42 ),
    inference(resolution,[],[f5279,f78]) ).

fof(f10842,plain,
    ( sK12(sK11) != sK12(sK11)
    | sK12(sK11) = sK5(sK12(sK11))
    | spl28_41 ),
    inference(superposition,[],[f5274,f33]) ).

fof(f10845,plain,
    ( sK12(sK11) != sK12(sK11)
    | sK12(sK12(sK11)) = sK12(sK3(sK12(sK11)))
    | spl28_41 ),
    inference(superposition,[],[f5274,f983]) ).

fof(f10851,plain,
    ( sK12(sK12(sK11)) = sK12(sK3(sK12(sK11)))
    | spl28_41 ),
    inference(trivial_inequality_removal,[],[f10845]) ).

fof(f10852,plain,
    ( sK12(sK11) = sK5(sK12(sK11))
    | spl28_41 ),
    inference(trivial_inequality_removal,[],[f10842]) ).

fof(f10854,plain,
    ( spl28_152
    | spl28_41 ),
    inference(avatar_split_clause,[],[f10851,f5273,f9527]) ).

fof(f10889,plain,
    ( r1(sK12(sK11))
    | sK12(sK12(sK11)) = sK16(sK0(sK12(sK11)),sK2(sK12(sK11)))
    | ~ spl28_41 ),
    inference(superposition,[],[f1219,f5275]) ).

fof(f10902,plain,
    ( sK12(sK12(sK11)) = sK12(sK3(sK12(sK11)))
    | r1(sK12(sK11))
    | ~ spl28_41
    | ~ spl28_74 ),
    inference(forward_demodulation,[],[f10889,f6710]) ).

fof(f10927,plain,
    ( spl28_67
    | spl28_152
    | ~ spl28_41
    | ~ spl28_74 ),
    inference(avatar_split_clause,[],[f10902,f6708,f5273,f9527,f6669]) ).

fof(f10980,plain,
    ( sK9(sK12(sK12(sK11))) = sK3(sK12(sK11))
    | sK11 = sK12(sK12(sK11))
    | ~ spl28_152 ),
    inference(superposition,[],[f2639,f9529]) ).

fof(f10993,plain,
    ( sK9(sK12(sK12(sK11))) = sK3(sK12(sK11))
    | spl28_1
    | ~ spl28_152 ),
    inference(forward_subsumption_resolution,[],[f10980,f3176]) ).

fof(f11691,plain,
    ( sK12(sK11) = sK3(sK12(sK11))
    | sK11 = sK12(sK12(sK11))
    | spl28_1
    | ~ spl28_152 ),
    inference(superposition,[],[f2639,f10993]) ).

fof(f11753,plain,
    ( sK12(sK11) = sK3(sK12(sK11))
    | spl28_1
    | ~ spl28_152 ),
    inference(forward_subsumption_resolution,[],[f11691,f3176]) ).

fof(f11934,plain,
    ( sK12(sK11) != sK12(sK11)
    | r1(sK7(sK12(sK11)))
    | spl28_20 ),
    inference(superposition,[],[f4332,f30]) ).

fof(f11949,plain,
    ( r1(sK7(sK12(sK11)))
    | spl28_20 ),
    inference(trivial_inequality_removal,[],[f11934]) ).

fof(f11956,plain,
    ( $false
    | spl28_20
    | spl28_57 ),
    inference(forward_subsumption_resolution,[],[f11949,f6572]) ).

fof(f11957,plain,
    ( spl28_20
    | spl28_57 ),
    inference(avatar_contradiction_clause,[],[f11956]) ).

fof(f11982,plain,
    ( sK11 = sK19(sK0(sK12(sK11)),sK9(sK2(sK12(sK11))))
    | ~ spl28_54 ),
    inference(resolution,[],[f6141,f325]) ).

fof(f11988,plain,
    ( r2(sK19(sK0(sK12(sK11)),sK9(sK9(sK2(sK12(sK11))))),sK11)
    | sK11 = sK9(sK2(sK12(sK11)))
    | ~ spl28_54 ),
    inference(superposition,[],[f2683,f11982]) ).

fof(f11992,plain,
    ( sK11 = sK9(sK2(sK12(sK11)))
    | ~ spl28_54 ),
    inference(forward_subsumption_resolution,[],[f11988,f102]) ).

fof(f11995,plain,
    ( sK11 = sK19(sK0(sK12(sK11)),sK11)
    | ~ spl28_54 ),
    inference(superposition,[],[f11982,f11992]) ).

fof(f12060,plain,
    ( sK11 = sK0(sK12(sK11))
    | ~ spl28_54 ),
    inference(forward_demodulation,[],[f11995,f224]) ).

fof(f12310,plain,
    ( sK11 = sK19(sK1(sK12(sK11)),sK9(sK4(sK12(sK11))))
    | ~ spl28_159 ),
    inference(resolution,[],[f9627,f325]) ).

fof(f12411,definition,
    ( spl28_205
  <=> sK11 = sK9(sK4(sK12(sK11))) ),
    introduced(definition,[new_symbols(definition,[spl28_205])],[avatar_definition]) ).

fof(f12413,plain,
    ( sK11 = sK9(sK4(sK12(sK11)))
    | ~ spl28_205 ),
    inference(avatar_component_clause,[],[f12411]) ).

fof(f12460,plain,
    ( r1(sK7(sK12(sK11)))
    | spl28_157 ),
    inference(resolution,[],[f9607,f131]) ).

fof(f12492,plain,
    ( sK19(sK12(sK11),sK0(sK12(sK11))) = sK24(sK0(sK12(sK11)),sK12(sK11))
    | sK11 = sK7(sK12(sK11))
    | ~ spl28_161 ),
    inference(superposition,[],[f618,f9681]) ).

fof(f12502,plain,
    ( sK19(sK12(sK11),sK0(sK12(sK11))) = sK24(sK0(sK12(sK11)),sK12(sK11))
    | spl28_25
    | ~ spl28_161 ),
    inference(forward_subsumption_resolution,[],[f12492,f5072]) ).

fof(f12522,plain,
    ( sK24(sK11,sK12(sK11)) = sK19(sK12(sK11),sK11)
    | spl28_25
    | ~ spl28_54
    | ~ spl28_161 ),
    inference(forward_demodulation,[],[f12502,f12060]) ).

fof(f12535,plain,
    ( sK12(sK11) = sK24(sK11,sK12(sK11))
    | spl28_25
    | ~ spl28_54
    | ~ spl28_161 ),
    inference(forward_demodulation,[],[f12522,f224]) ).

fof(f12544,plain,
    ( sK12(sK11) = sK27(sK11,sK12(sK11))
    | spl28_25
    | ~ spl28_54
    | ~ spl28_161 ),
    inference(forward_demodulation,[],[f12535,f229]) ).

fof(f12553,plain,
    ( sK24(sK11,sK11) = sK12(sK11)
    | spl28_25
    | ~ spl28_54
    | ~ spl28_161 ),
    inference(forward_demodulation,[],[f12544,f266]) ).

fof(f12561,plain,
    ( sK19(sK11,sK11) = sK12(sK11)
    | spl28_25
    | ~ spl28_54
    | ~ spl28_161 ),
    inference(forward_demodulation,[],[f12553,f197]) ).

fof(f12568,plain,
    ( sK11 = sK12(sK11)
    | spl28_25
    | ~ spl28_54
    | ~ spl28_161 ),
    inference(forward_demodulation,[],[f12561,f224]) ).

fof(f12573,plain,
    ( $false
    | spl28_3
    | spl28_25
    | ~ spl28_54
    | ~ spl28_161 ),
    inference(forward_subsumption_resolution,[],[f12568,f3185]) ).

fof(f12574,plain,
    ( spl28_3
    | spl28_25
    | ~ spl28_54
    | ~ spl28_161 ),
    inference(avatar_contradiction_clause,[],[f12573]) ).

fof(f12580,plain,
    ( sK12(sK11) = sK0(sK12(sK11))
    | spl28_1
    | ~ spl28_65
    | ~ spl28_152 ),
    inference(forward_demodulation,[],[f6621,f11753]) ).

fof(f12587,plain,
    ( spl28_64
    | spl28_1
    | ~ spl28_65
    | ~ spl28_152 ),
    inference(avatar_split_clause,[],[f12580,f9527,f6619,f3175,f6614]) ).

fof(f12597,plain,
    ( ! [X0] :
        ( ~ r2(X0,sK12(sK11))
        | ~ r1(X0)
        | r1(sK7(sK12(sK11))) )
    | ~ spl28_64 ),
    inference(superposition,[],[f83,f6616]) ).

fof(f12647,plain,
    ( ! [X0] :
        ( ~ r2(X0,sK12(sK11))
        | ~ r1(X0) )
    | spl28_57
    | ~ spl28_64 ),
    inference(forward_subsumption_resolution,[],[f12597,f6572]) ).

fof(f12713,plain,
    ( ~ r1(sK19(sK11,sK9(sK12(sK11))))
    | spl28_3
    | spl28_57
    | ~ spl28_64 ),
    inference(resolution,[],[f12647,f3601]) ).

fof(f12714,plain,
    ( ~ r1(sK11)
    | spl28_3
    | spl28_57
    | ~ spl28_64 ),
    inference(forward_demodulation,[],[f12713,f3662]) ).

fof(f12718,plain,
    ( $false
    | spl28_3
    | spl28_57
    | ~ spl28_64 ),
    inference(forward_subsumption_resolution,[],[f12714,f88]) ).

fof(f12719,plain,
    ( spl28_3
    | spl28_57
    | ~ spl28_64 ),
    inference(avatar_contradiction_clause,[],[f12718]) ).

fof(f13262,plain,
    ( sK12(sK11) = sK19(sK1(sK12(sK11)),sK4(sK12(sK11)))
    | ~ spl28_157 ),
    inference(resolution,[],[f9608,f65]) ).

fof(f13267,plain,
    ( r2(sK19(sK1(sK12(sK11)),sK9(sK4(sK12(sK11)))),sK12(sK11))
    | sK11 = sK4(sK12(sK11))
    | ~ spl28_157 ),
    inference(superposition,[],[f2683,f13262]) ).

fof(f13272,plain,
    ( spl28_158
    | spl28_159
    | ~ spl28_157 ),
    inference(avatar_split_clause,[],[f13267,f9606,f9625,f9621]) ).

fof(f14113,plain,
    ( r2(sK19(sK1(sK12(sK11)),sK9(sK9(sK4(sK12(sK11))))),sK11)
    | sK11 = sK9(sK4(sK12(sK11)))
    | ~ spl28_159 ),
    inference(superposition,[],[f2683,f12310]) ).

fof(f14118,plain,
    ( sK11 = sK9(sK4(sK12(sK11)))
    | ~ spl28_159 ),
    inference(forward_subsumption_resolution,[],[f14113,f102]) ).

fof(f14120,plain,
    ( spl28_205
    | ~ spl28_159 ),
    inference(avatar_split_clause,[],[f14118,f9625,f12411]) ).

fof(f14122,plain,
    ( sK11 = sK19(sK1(sK12(sK11)),sK11)
    | ~ spl28_159
    | ~ spl28_205 ),
    inference(superposition,[],[f12310,f12413]) ).

fof(f14188,plain,
    ( sK11 = sK1(sK12(sK11))
    | ~ spl28_159
    | ~ spl28_205 ),
    inference(forward_demodulation,[],[f14122,f224]) ).

fof(f14205,plain,
    ( spl28_55
    | ~ spl28_159
    | ~ spl28_205 ),
    inference(avatar_split_clause,[],[f14188,f12411,f9625,f6532]) ).

fof(f14223,plain,
    ( sK12(sK11) = sK27(sK0(sK12(sK11)),sK11)
    | ~ spl28_42
    | ~ spl28_55 ),
    inference(superposition,[],[f10791,f6534]) ).

fof(f14240,plain,
    ( sK12(sK11) = sK27(sK0(sK12(sK11)),sK11)
    | r1(sK7(sK12(sK11)))
    | ~ spl28_55 ),
    inference(superposition,[],[f137,f6534]) ).

fof(f14267,plain,
    ( sK12(sK11) = sK27(sK0(sK12(sK11)),sK11)
    | ~ spl28_55
    | spl28_57 ),
    inference(forward_subsumption_resolution,[],[f14240,f6572]) ).

fof(f14278,plain,
    ( sK11 = sK12(sK11)
    | ~ spl28_42
    | ~ spl28_55 ),
    inference(forward_demodulation,[],[f14223,f171]) ).

fof(f14286,plain,
    ( sK11 = sK12(sK11)
    | ~ spl28_55
    | spl28_57 ),
    inference(forward_demodulation,[],[f14267,f171]) ).

fof(f14294,plain,
    ( $false
    | spl28_3
    | ~ spl28_42
    | ~ spl28_55 ),
    inference(forward_subsumption_resolution,[],[f14278,f3185]) ).

fof(f14295,plain,
    ( spl28_3
    | ~ spl28_42
    | ~ spl28_55 ),
    inference(avatar_contradiction_clause,[],[f14294]) ).

fof(f14300,plain,
    ( $false
    | spl28_3
    | ~ spl28_55
    | spl28_57 ),
    inference(forward_subsumption_resolution,[],[f14286,f3185]) ).

fof(f14301,plain,
    ( spl28_3
    | ~ spl28_55
    | spl28_57 ),
    inference(avatar_contradiction_clause,[],[f14300]) ).

fof(f14731,plain,
    ( spl28_75
    | spl28_57 ),
    inference(avatar_split_clause,[],[f9533,f6571,f6713]) ).

fof(f14756,plain,
    ( spl28_57
    | spl28_157 ),
    inference(avatar_split_clause,[],[f12460,f9606,f6571]) ).

fof(f15017,plain,
    ( r3(sK1(sK12(sK11)),sK4(sK12(sK11)),sK12(sK11))
    | sK12(sK11) = sK7(sK12(sK11))
    | spl28_41 ),
    inference(superposition,[],[f35,f10852]) ).

fof(f15026,plain,
    ( sK11 = sK12(sK11)
    | r3(sK1(sK12(sK11)),sK4(sK12(sK11)),sK12(sK11))
    | ~ spl28_25
    | spl28_41 ),
    inference(forward_demodulation,[],[f15017,f5073]) ).

fof(f15027,plain,
    ( r3(sK1(sK12(sK11)),sK4(sK12(sK11)),sK12(sK11))
    | spl28_3
    | ~ spl28_25
    | spl28_41 ),
    inference(forward_subsumption_resolution,[],[f15026,f3185]) ).

fof(f15028,plain,
    ( spl28_157
    | spl28_3
    | ~ spl28_25
    | spl28_41 ),
    inference(avatar_split_clause,[],[f15027,f5273,f5071,f3184,f9606]) ).

fof(f15046,plain,
    ( ~ r2(sK11,sK12(sK11))
    | sK12(sK11) = sK7(sK12(sK11))
    | ~ spl28_161 ),
    inference(superposition,[],[f183,f9681]) ).

fof(f15078,plain,
    ( sK12(sK11) = sK7(sK12(sK11))
    | ~ spl28_161 ),
    inference(forward_subsumption_resolution,[],[f15046,f91]) ).

fof(f15104,plain,
    ( sK11 = sK12(sK11)
    | ~ spl28_25
    | ~ spl28_161 ),
    inference(forward_demodulation,[],[f15078,f5073]) ).

fof(f15121,plain,
    ( $false
    | spl28_3
    | ~ spl28_25
    | ~ spl28_161 ),
    inference(forward_subsumption_resolution,[],[f15104,f3185]) ).

fof(f15122,plain,
    ( spl28_3
    | ~ spl28_25
    | ~ spl28_161 ),
    inference(avatar_contradiction_clause,[],[f15121]) ).

cnf(s5,plain,
    ~ spl28_3,
    inference(sat_conversion,[],[f3350]) ).

cnf(s33,plain,
    ~ spl28_1,
    inference(sat_conversion,[],[f4381]) ).

cnf(s60,plain,
    ( spl28_3
    | ~ spl28_25
    | ~ spl28_41 ),
    inference(sat_conversion,[],[f5520]) ).

cnf(s65,plain,
    ( spl28_3
    | ~ spl28_20
    | ~ spl28_25
    | spl28_42 ),
    inference(sat_conversion,[],[f5568]) ).

cnf(s123,plain,
    ( ~ spl28_53
    | spl28_57
    | spl28_65 ),
    inference(sat_conversion,[],[f6623]) ).

cnf(s134,plain,
    ( ~ spl28_41
    | spl28_67
    | spl28_74 ),
    inference(sat_conversion,[],[f6711]) ).

cnf(s189,plain,
    ( spl28_53
    | spl28_54
    | ~ spl28_75 ),
    inference(sat_conversion,[],[f7410]) ).

cnf(s206,plain,
    ~ spl28_19,
    inference(sat_conversion,[],[f7696]) ).

cnf(s208,plain,
    ( spl28_19
    | ~ spl28_67 ),
    inference(sat_conversion,[],[f7703]) ).

cnf(s293,plain,
    ( spl28_20
    | ~ spl28_57
    | spl28_67 ),
    inference(sat_conversion,[],[f9531]) ).

cnf(s294,plain,
    ( spl28_25
    | ~ spl28_57 ),
    inference(sat_conversion,[],[f9532]) ).

cnf(s312,plain,
    ( spl28_3
    | spl28_41
    | ~ spl28_158
    | spl28_161 ),
    inference(sat_conversion,[],[f9682]) ).

cnf(s318,plain,
    ( spl28_57
    | ~ spl28_158
    | spl28_161 ),
    inference(sat_conversion,[],[f9697]) ).

cnf(s370,plain,
    ( spl28_41
    | spl28_152 ),
    inference(sat_conversion,[],[f10854]) ).

cnf(s387,plain,
    ( ~ spl28_41
    | spl28_67
    | ~ spl28_74
    | spl28_152 ),
    inference(sat_conversion,[],[f10927]) ).

cnf(s429,plain,
    ( spl28_20
    | spl28_57 ),
    inference(sat_conversion,[],[f11957]) ).

cnf(s456,plain,
    ( spl28_3
    | spl28_25
    | ~ spl28_54
    | ~ spl28_161 ),
    inference(sat_conversion,[],[f12574]) ).

cnf(s461,plain,
    ( spl28_1
    | spl28_64
    | ~ spl28_65
    | ~ spl28_152 ),
    inference(sat_conversion,[],[f12587]) ).

cnf(s463,plain,
    ( spl28_3
    | spl28_57
    | ~ spl28_64 ),
    inference(sat_conversion,[],[f12719]) ).

cnf(s485,plain,
    ( ~ spl28_157
    | spl28_158
    | spl28_159 ),
    inference(sat_conversion,[],[f13272]) ).

cnf(s523,plain,
    ( ~ spl28_159
    | spl28_205 ),
    inference(sat_conversion,[],[f14120]) ).

cnf(s526,plain,
    ( spl28_55
    | ~ spl28_159
    | ~ spl28_205 ),
    inference(sat_conversion,[],[f14205]) ).

cnf(s528,plain,
    ( spl28_3
    | ~ spl28_42
    | ~ spl28_55 ),
    inference(sat_conversion,[],[f14295]) ).

cnf(s529,plain,
    ( spl28_3
    | ~ spl28_55
    | spl28_57 ),
    inference(sat_conversion,[],[f14301]) ).

cnf(s589,plain,
    ( spl28_57
    | spl28_75 ),
    inference(sat_conversion,[],[f14731]) ).

cnf(s604,plain,
    ( spl28_57
    | spl28_157 ),
    inference(sat_conversion,[],[f14756]) ).

cnf(s656,plain,
    ( spl28_3
    | ~ spl28_25
    | spl28_41
    | spl28_157 ),
    inference(sat_conversion,[],[f15028]) ).

cnf(s660,plain,
    ( spl28_3
    | ~ spl28_25
    | ~ spl28_161 ),
    inference(sat_conversion,[],[f15122]) ).

cnf(s666,plain,
    ~ spl28_67,
    inference(rat,[],[s208,s206]) ).

cnf(s681,plain,
    ( ~ spl28_41
    | spl28_74 ),
    inference(rat,[],[s134,s666]) ).

cnf(s711,plain,
    spl28_20,
    inference(rat,[],[s293,s429,s666]) ).

cnf(s712,plain,
    ( ~ spl28_41
    | spl28_152 ),
    inference(rat,[],[s681,s387,s666]) ).

cnf(s713,plain,
    spl28_152,
    inference(rat,[],[s712,s370]) ).

cnf(s715,plain,
    ( ~ spl28_159
    | spl28_55 ),
    inference(rat,[],[s523,s526]) ).

cnf(s716,plain,
    spl28_25,
    inference(rat,[],[s715,s485,s318,s456,s189,s123,s461,s529,s463,s589,s604,s294,s5,s713,s33]) ).

cnf(s717,plain,
    ~ spl28_161,
    inference(rat,[],[s660,s5,s716]) ).

cnf(s720,plain,
    ~ spl28_41,
    inference(rat,[],[s60,s5,s716]) ).

cnf(s722,plain,
    spl28_42,
    inference(rat,[],[s65,s711,s5,s716]) ).

cnf(s725,plain,
    ~ spl28_158,
    inference(rat,[],[s312,s717,s5,s720]) ).

cnf(s726,plain,
    spl28_157,
    inference(rat,[],[s656,s716,s5,s720]) ).

cnf(s731,plain,
    ~ spl28_55,
    inference(rat,[],[s528,s5,s722]) ).

cnf(s734,plain,
    spl28_159,
    inference(rat,[],[s485,s726,s725]) ).

cnf(s739,plain,
    $false,
    inference(rat,[],[s715,s731,s734]) ).

fof(f15132,plain,
    $false,
    inference(avatar_sat_refutation,[],[s739]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUN074+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40  % Computer : n006.cluster.edu
% 0.10/0.40  % Model    : x86_64 x86_64
% 0.10/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40  % Memory   : 8046.5625MB
% 0.10/0.40  % OS       : Linux 6.8.0-71-generic
% 0.10/0.40  % CPULimit : 300
% 0.10/0.40  % WCLimit  : 300
% 0.10/0.40  % DateTime : Sun Sep 27 21:53:41 UTC 2026
% 0.10/0.40  % CPUTime  : 
% 0.10/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.43  Running first-order theorem proving
% 0.10/0.43  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.42/2.38  % (3360614)Detected formulas, will run a generic FOF schedule.
% 10.42/2.38  % (3360624)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2385564905:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.42/2.38  % (3360622)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3474286933:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.42/2.38  % (3360621)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3821967719:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.42/2.38  % (3360620)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3507750012:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.42/2.38  % (3360623)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4074950643:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.42/2.38  % (3360619)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3449072821:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.42/2.38  % (3360622)Refutation not found, incomplete strategy
% 10.42/2.38  % (3360622)------------------------------
% 10.42/2.38  % (3360622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.42/2.38  % (3360622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.42/2.38  % (3360622)CaDiCaL version: 2.1.3
% 10.42/2.38  % (3360622)Termination reason: Refutation not found, incomplete strategy
% 10.42/2.38  % (3360622)Time elapsed: 0.002 s
% 10.42/2.38  % (3360622)Peak memory usage: 88 MB
% 10.42/2.38  % (3360622)Instructions burned: 2 (million)
% 10.42/2.38  % (3360624)Instruction limit reached! 
% 10.42/2.38  % (3360624)------------------------------
% 10.42/2.38  % (3360624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.42/2.38  % (3360624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.42/2.38  % (3360624)CaDiCaL version: 2.1.3
% 10.42/2.38  % (3360624)Termination reason: Instruction limit
% 10.42/2.38  % (3360624)Termination phase: Saturation
% 10.42/2.38  % (3360624)Time elapsed: 0.050 s
% 10.42/2.38  % (3360624)Peak memory usage: 90 MB
% 10.42/2.38  % (3360624)Instructions burned: 140 (million)
% 10.42/2.38  % (3360625)dis-21_1_sil=8000:lcm=predicate:random_seed=2491594278:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.42/2.38  % (3360623)Instruction limit reached! 
% 10.42/2.38  % (3360623)------------------------------
% 10.42/2.38  % (3360623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.42/2.38  % (3360623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.42/2.38  % (3360623)CaDiCaL version: 2.1.3
% 10.42/2.38  % (3360623)Termination reason: Instruction limit
% 10.42/2.38  % (3360623)Termination phase: Saturation
% 10.42/2.38  % (3360623)Time elapsed: 0.073 s
% 10.42/2.38  % (3360623)Peak memory usage: 88 MB
% 10.42/2.38  % (3360623)Instructions burned: 120 (million)
% 10.42/2.38  % (3360625)Instruction limit reached! 
% 10.42/2.38  % (3360625)------------------------------
% 10.42/2.38  % (3360625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.42/2.38  % (3360625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.42/2.38  % (3360625)CaDiCaL version: 2.1.3
% 10.42/2.38  % (3360625)Termination reason: Instruction limit
% 10.42/2.38  % (3360625)Termination phase: Saturation
% 10.42/2.38  % (3360625)Time elapsed: 0.061 s
% 10.42/2.38  % (3360625)Peak memory usage: 88 MB
% 10.42/2.38  % (3360625)Instructions burned: 129 (million)
% 10.42/2.38  % (3360632)lrs+10_1_sil=8000:sp=occurrence:random_seed=1716186986:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.42/2.38  % (3360632)Instruction limit reached! 
% 10.42/2.38  % (3360632)------------------------------
% 10.42/2.38  % (3360632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.42/2.38  % (3360632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.42/2.38  % (3360632)CaDiCaL version: 2.1.3
% 10.42/2.38  % (3360632)Termination reason: Instruction limit
% 10.42/2.38  % (3360632)Termination phase: Saturation
% 10.42/2.38  % (3360632)Time elapsed: 0.087 s
% 10.42/2.38  % (3360632)Peak memory usage: 90 MB
% 10.42/2.38  % (3360632)Instructions burned: 288 (million)
% 19.10/3.63  % (3360634)lrs+10_1_sil=32000:urr=on:br=off:random_seed=695215914:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 19.10/3.63  % (3360635)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2229594569:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 19.10/3.63  % (3360622)------------------------------
% 19.10/3.63  % (3360622)------------------------------
% 19.10/3.63  % (3360637)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2710776569:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 19.10/3.63  % (3360634)Instruction limit reached! 
% 19.10/3.63  % (3360634)------------------------------
% 19.10/3.63  % (3360634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.10/3.63  % (3360634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.10/3.63  % (3360634)CaDiCaL version: 2.1.3
% 19.10/3.63  % (3360634)Termination reason: Instruction limit
% 19.10/3.63  % (3360634)Termination phase: Saturation
% 19.10/3.63  % (3360634)Time elapsed: 0.102 s
% 19.10/3.63  % (3360634)Peak memory usage: 90 MB
% 19.10/3.63  % (3360634)Instructions burned: 158 (million)
% 19.10/3.63  % (3360637)Instruction limit reached! 
% 19.10/3.63  % (3360637)------------------------------
% 19.10/3.63  % (3360637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.10/3.63  % (3360637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.10/3.63  % (3360637)CaDiCaL version: 2.1.3
% 19.10/3.63  % (3360637)Termination reason: Instruction limit
% 19.10/3.63  % (3360637)Termination phase: Saturation
% 19.10/3.63  % (3360637)Time elapsed: 0.071 s
% 19.10/3.63  % (3360637)Peak memory usage: 91 MB
% 19.10/3.63  % (3360637)Instructions burned: 252 (million)
% 19.10/3.63  % (3360640)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1434364673:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 19.10/3.63  % (3360640)Refutation not found, incomplete strategy
% 19.10/3.63  % (3360640)------------------------------
% 19.10/3.63  % (3360640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.10/3.63  % (3360640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.10/3.63  % (3360640)CaDiCaL version: 2.1.3
% 19.10/3.63  % (3360640)Termination reason: Refutation not found, incomplete strategy
% 19.10/3.63  % (3360640)Time elapsed: 0.002 s
% 19.10/3.63  % (3360640)Peak memory usage: 88 MB
% 19.10/3.63  % (3360640)Instructions burned: 2 (million)
% 19.10/3.63  % (3360635)Instruction limit reached! 
% 19.10/3.63  % (3360635)------------------------------
% 19.10/3.63  % (3360635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.10/3.63  % (3360635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.10/3.63  % (3360635)CaDiCaL version: 2.1.3
% 19.10/3.63  % (3360635)Termination reason: Instruction limit
% 19.10/3.63  % (3360635)Termination phase: Saturation
% 19.10/3.63  % (3360635)Time elapsed: 0.196 s
% 19.10/3.63  % (3360635)Peak memory usage: 90 MB
% 19.10/3.63  % (3360635)Instructions burned: 326 (million)
% 19.10/3.63  % (3360642)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2300157835:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 19.10/3.63  % (3360643)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=687370824:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 19.10/3.63  % (3360643)Refutation not found, incomplete strategy
% 19.10/3.63  % (3360643)------------------------------
% 19.10/3.63  % (3360643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.10/3.63  % (3360643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.10/3.63  % (3360643)CaDiCaL version: 2.1.3
% 19.10/3.63  % (3360643)Termination reason: Refutation not found, incomplete strategy
% 19.10/3.63  % (3360643)Time elapsed: 0.004 s
% 19.10/3.63  % (3360643)Peak memory usage: 88 MB
% 19.10/3.63  % (3360643)Instructions burned: 9 (million)
% 19.10/3.63  % (3360645)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3511534306:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 19.10/3.63  % (3360640)------------------------------
% 19.10/3.63  % (3360640)------------------------------
% 19.10/3.63  % (3360645)Instruction limit reached! 
% 19.10/3.63  % (3360645)------------------------------
% 19.10/3.63  % (3360645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.10/3.63  % (3360645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.08/5.59  % (3360645)CaDiCaL version: 2.1.3
% 33.08/5.59  % (3360645)Termination reason: Instruction limit
% 33.08/5.59  % (3360645)Termination phase: Saturation
% 33.08/5.59  % (3360645)Time elapsed: 0.060 s
% 33.08/5.59  % (3360645)Peak memory usage: 88 MB
% 33.08/5.59  % (3360645)Instructions burned: 129 (million)
% 33.08/5.59  % (3360643)------------------------------
% 33.08/5.59  % (3360643)------------------------------
% 33.08/5.59  % (3360651)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4157723958:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 33.08/5.59  % (3360651)Refutation not found, incomplete strategy
% 33.08/5.59  % (3360651)------------------------------
% 33.08/5.59  % (3360651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.08/5.59  % (3360651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.08/5.59  % (3360651)CaDiCaL version: 2.1.3
% 33.08/5.59  % (3360651)Termination reason: Refutation not found, incomplete strategy
% 33.08/5.59  % (3360651)Time elapsed: 0.001 s
% 33.08/5.59  % (3360651)Peak memory usage: 88 MB
% 33.08/5.59  % (3360651)Instructions burned: 2 (million)
% 33.08/5.59  % (3360650)lrs+10_1_sil=8000:sp=occurrence:random_seed=1973747085:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 33.08/5.59  % (3360649)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3855340733:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 33.08/5.59  % (3360649)Instruction limit reached! 
% 33.08/5.59  % (3360649)------------------------------
% 33.08/5.59  % (3360649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.08/5.59  % (3360649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.08/5.59  % (3360649)CaDiCaL version: 2.1.3
% 33.08/5.59  % (3360649)Termination reason: Instruction limit
% 33.08/5.59  % (3360649)Termination phase: Saturation
% 33.08/5.59  % (3360649)Time elapsed: 0.061 s
% 33.08/5.59  % (3360649)Peak memory usage: 88 MB
% 33.08/5.59  % (3360649)Instructions burned: 116 (million)
% 33.08/5.59  % (3360651)------------------------------
% 33.08/5.59  % (3360651)------------------------------
% 33.08/5.59  % (3360655)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3243671268:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 33.08/5.59  % (3360656)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1239031513:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 33.08/5.59  % (3360656)Refutation not found, incomplete strategy
% 33.08/5.59  % (3360656)------------------------------
% 33.08/5.59  % (3360656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.08/5.59  % (3360656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.08/5.59  % (3360656)CaDiCaL version: 2.1.3
% 33.08/5.59  % (3360656)Termination reason: Refutation not found, incomplete strategy
% 33.08/5.59  % (3360656)Time elapsed: 0.002 s
% 33.08/5.59  % (3360656)Peak memory usage: 89 MB
% 33.08/5.59  % (3360656)Instructions burned: 4 (million)
% 33.08/5.59  % (3360656)------------------------------
% 33.08/5.59  % (3360656)------------------------------
% 33.08/5.59  % (3360650)Instruction limit reached! 
% 33.08/5.59  % (3360650)------------------------------
% 33.08/5.59  % (3360650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.08/5.59  % (3360650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.08/5.59  % (3360650)CaDiCaL version: 2.1.3
% 33.08/5.59  % (3360650)Termination reason: Instruction limit
% 33.08/5.59  % (3360650)Termination phase: Saturation
% 33.08/5.59  % (3360650)Time elapsed: 0.489 s
% 33.08/5.59  % (3360650)Peak memory usage: 93 MB
% 33.08/5.59  % (3360650)Instructions burned: 909 (million)
% 33.08/5.59  % (3360659)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=829043630:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 33.08/5.59  % (3360659)Refutation not found, incomplete strategy
% 33.08/5.59  % (3360659)------------------------------
% 33.08/5.59  % (3360659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.08/5.59  % (3360659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.08/5.59  % (3360659)CaDiCaL version: 2.1.3
% 33.08/5.59  % (3360659)Termination reason: Refutation not found, incomplete strategy
% 33.08/5.59  % (3360659)Time elapsed: 0.001 s
% 33.08/5.59  % (3360659)Peak memory usage: 88 MB
% 33.08/5.59  % (3360659)Instructions burned: 2 (million)
% 66.54/10.28  % (3360660)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2693421102:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 66.54/10.28  % (3360659)------------------------------
% 66.54/10.28  % (3360659)------------------------------
% 66.54/10.28  % (3360663)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2045097728:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 66.54/10.28  % (3360663)Instruction limit reached! 
% 66.54/10.28  % (3360663)------------------------------
% 66.54/10.28  % (3360663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.54/10.28  % (3360663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.54/10.28  % (3360663)CaDiCaL version: 2.1.3
% 66.54/10.28  % (3360663)Termination reason: Instruction limit
% 66.54/10.28  % (3360663)Termination phase: Saturation
% 66.54/10.28  % (3360663)Time elapsed: 0.045 s
% 66.54/10.28  % (3360663)Peak memory usage: 90 MB
% 66.54/10.28  % (3360663)Instructions burned: 126 (million)
% 66.54/10.28  % (3360665)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1938473090:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 66.54/10.28  % (3360665)Instruction limit reached! 
% 66.54/10.28  % (3360665)------------------------------
% 66.54/10.28  % (3360665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.54/10.28  % (3360665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.54/10.28  % (3360665)CaDiCaL version: 2.1.3
% 66.54/10.28  % (3360665)Termination reason: Instruction limit
% 66.54/10.28  % (3360665)Termination phase: Saturation
% 66.54/10.28  % (3360665)Time elapsed: 0.040 s
% 66.54/10.28  % (3360665)Peak memory usage: 89 MB
% 66.54/10.28  % (3360665)Instructions burned: 136 (million)
% 66.54/10.28  % (3360667)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2187031242:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 66.54/10.28  % (3360667)Refutation not found, incomplete strategy
% 66.54/10.28  % (3360667)------------------------------
% 66.54/10.28  % (3360667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.54/10.28  % (3360667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.54/10.28  % (3360667)CaDiCaL version: 2.1.3
% 66.54/10.28  % (3360667)Termination reason: Refutation not found, incomplete strategy
% 66.54/10.28  % (3360667)Time elapsed: 0.001 s
% 66.54/10.28  % (3360667)Peak memory usage: 88 MB
% 66.54/10.28  % (3360667)Instructions burned: 2 (million)
% 66.54/10.28  % (3360642)Instruction limit reached! 
% 66.54/10.28  % (3360642)------------------------------
% 66.54/10.28  % (3360642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.54/10.28  % (3360642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.54/10.28  % (3360642)CaDiCaL version: 2.1.3
% 66.54/10.28  % (3360642)Termination reason: Instruction limit
% 66.54/10.28  % (3360642)Termination phase: Saturation
% 66.54/10.28  % (3360642)Time elapsed: 1.506 s
% 66.54/10.28  % (3360642)Peak memory usage: 140 MB
% 66.54/10.28  % (3360642)Instructions burned: 2350 (million)
% 66.54/10.28  % (3360667)------------------------------
% 66.54/10.28  % (3360667)------------------------------
% 66.54/10.28  % (3360669)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=932647075:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 66.54/10.28  % (3360669)Refutation not found, incomplete strategy
% 66.54/10.28  % (3360669)------------------------------
% 66.54/10.28  % (3360669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.54/10.28  % (3360669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.54/10.28  % (3360669)CaDiCaL version: 2.1.3
% 66.54/10.28  % (3360669)Termination reason: Refutation not found, incomplete strategy
% 66.54/10.28  % (3360669)Time elapsed: 0.002 s
% 66.54/10.28  % (3360669)Peak memory usage: 88 MB
% 66.54/10.28  % (3360669)Instructions burned: 2 (million)
% 66.54/10.28  % (3360670)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2184838260:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 66.54/10.28  % (3360669)------------------------------
% 66.54/10.28  % (3360669)------------------------------
% 66.54/10.28  % (3360673)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2960576176:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2974 on theBenchmark for (2974ds/150Mi)
% 96.35/14.42  % (3360673)Instruction limit reached! 
% 96.35/14.42  % (3360673)------------------------------
% 96.35/14.42  % (3360673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.35/14.42  % (3360673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.35/14.42  % (3360673)CaDiCaL version: 2.1.3
% 96.35/14.42  % (3360673)Termination reason: Instruction limit
% 96.35/14.42  % (3360673)Termination phase: Saturation
% 96.35/14.42  % (3360673)Time elapsed: 0.074 s
% 96.35/14.42  % (3360673)Peak memory usage: 90 MB
% 96.35/14.42  % (3360673)Instructions burned: 152 (million)
% 96.35/14.42  % (3360675)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4209631214:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 96.35/14.42  % (3360655)Instruction limit reached! 
% 96.35/14.42  % (3360655)------------------------------
% 96.35/14.42  % (3360655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.35/14.42  % (3360655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.35/14.42  % (3360655)CaDiCaL version: 2.1.3
% 96.35/14.42  % (3360655)Termination reason: Instruction limit
% 96.35/14.42  % (3360655)Termination phase: Saturation
% 96.35/14.42  % (3360655)Time elapsed: 2.929 s
% 96.35/14.42  % (3360655)Peak memory usage: 151 MB
% 96.35/14.42  % (3360655)Instructions burned: 5203 (million)
% 96.35/14.42  % (3360677)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1796646115:i=667:av=off:fsr=off_2958 on theBenchmark for (2958ds/667Mi)
% 96.35/14.42  % (3360670)Instruction limit reached! 
% 96.35/14.42  % (3360670)------------------------------
% 96.35/14.42  % (3360670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.35/14.42  % (3360670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.35/14.42  % (3360670)CaDiCaL version: 2.1.3
% 96.35/14.42  % (3360670)Termination reason: Instruction limit
% 96.35/14.42  % (3360670)Termination phase: Saturation
% 96.35/14.42  % (3360670)Time elapsed: 2.017 s
% 96.35/14.42  % (3360670)Peak memory usage: 161 MB
% 96.35/14.42  % (3360670)Instructions burned: 6063 (million)
% 96.35/14.42  % (3360679)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1690229011:s2a=on:i=185:s2at=1.8:fdi=4_2955 on theBenchmark for (2955ds/185Mi)
% 96.35/14.42  % (3360677)Instruction limit reached! 
% 96.35/14.42  % (3360677)------------------------------
% 96.35/14.42  % (3360677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.35/14.42  % (3360677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.35/14.42  % (3360677)CaDiCaL version: 2.1.3
% 96.35/14.42  % (3360677)Termination reason: Instruction limit
% 96.35/14.42  % (3360677)Termination phase: Saturation
% 96.35/14.42  % (3360677)Time elapsed: 0.280 s
% 96.35/14.42  % (3360677)Peak memory usage: 88 MB
% 96.35/14.42  % (3360677)Instructions burned: 668 (million)
% 96.35/14.42  % (3360679)Instruction limit reached! 
% 96.35/14.42  % (3360679)------------------------------
% 96.35/14.42  % (3360679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.35/14.42  % (3360679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.35/14.42  % (3360679)CaDiCaL version: 2.1.3
% 96.35/14.42  % (3360679)Termination reason: Instruction limit
% 96.35/14.42  % (3360679)Termination phase: Saturation
% 96.35/14.42  % (3360679)Time elapsed: 0.063 s
% 96.35/14.42  % (3360679)Peak memory usage: 91 MB
% 96.35/14.42  % (3360679)Instructions burned: 186 (million)
% 96.35/14.42  % (3360681)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2529137068:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2954 on theBenchmark for (2954ds/193Mi)
% 96.35/14.42  % (3360682)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3751338549:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2954 on theBenchmark for (2954ds/4850Mi)
% 96.35/14.42  % (3360682)Refutation not found, incomplete strategy
% 96.35/14.42  % (3360682)------------------------------
% 96.35/14.42  % (3360682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.35/14.42  % (3360682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.35/14.42  % (3360682)CaDiCaL version: 2.1.3
% 96.35/14.42  % (3360682)Termination reason: Refutation not found, incomplete strategy
% 116.20/17.30  % (3360682)Time elapsed: 0.001 s
% 116.20/17.30  % (3360682)Peak memory usage: 88 MB
% 116.20/17.30  % (3360682)Instructions burned: 1 (million)
% 116.20/17.30  % (3360681)Instruction limit reached! 
% 116.20/17.30  % (3360681)------------------------------
% 116.20/17.30  % (3360681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.20/17.30  % (3360681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.20/17.30  % (3360681)CaDiCaL version: 2.1.3
% 116.20/17.30  % (3360681)Termination reason: Instruction limit
% 116.20/17.30  % (3360681)Termination phase: Saturation
% 116.20/17.30  % (3360681)Time elapsed: 0.124 s
% 116.20/17.30  % (3360681)Peak memory usage: 91 MB
% 116.20/17.30  % (3360681)Instructions burned: 194 (million)
% 116.20/17.30  % (3360682)------------------------------
% 116.20/17.30  % (3360682)------------------------------
% 116.20/17.30  % (3360685)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3551019836:i=12111:sd=1:ss=included_2951 on theBenchmark for (2951ds/12111Mi)
% 116.20/17.30  % (3360686)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2675352533:i=319:kws=precedence:fsr=off_2951 on theBenchmark for (2951ds/319Mi)
% 116.20/17.30  % (3360686)Instruction limit reached! 
% 116.20/17.30  % (3360686)------------------------------
% 116.20/17.30  % (3360686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.20/17.30  % (3360686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.20/17.30  % (3360686)CaDiCaL version: 2.1.3
% 116.20/17.30  % (3360686)Termination reason: Instruction limit
% 116.20/17.30  % (3360686)Termination phase: Saturation
% 116.20/17.30  % (3360686)Time elapsed: 0.098 s
% 116.20/17.30  % (3360686)Peak memory usage: 91 MB
% 116.20/17.30  % (3360686)Instructions burned: 319 (million)
% 116.20/17.30  % (3360689)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1722033683:i=2064:ep=RST_2949 on theBenchmark for (2949ds/2064Mi)
% 116.20/17.30  % (3360689)Refutation not found, incomplete strategy
% 116.20/17.30  % (3360689)------------------------------
% 116.20/17.30  % (3360689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.20/17.30  % (3360689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.20/17.30  % (3360689)CaDiCaL version: 2.1.3
% 116.20/17.30  % (3360689)Termination reason: Refutation not found, incomplete strategy
% 116.20/17.30  % (3360689)Time elapsed: 0.001 s
% 116.20/17.30  % (3360689)Peak memory usage: 88 MB
% 116.20/17.30  % (3360689)Instructions burned: 2 (million)
% 116.20/17.30  % (3360689)------------------------------
% 116.20/17.30  % (3360689)------------------------------
% 116.20/17.30  % (3360691)dis-1011_128_sil=32000:random_seed=3427192722:i=3706:ep=RST:av=off_2946 on theBenchmark for (2946ds/3706Mi)
% 116.20/17.30  % (3360691)Refutation not found, incomplete strategy
% 116.20/17.30  % (3360691)------------------------------
% 116.20/17.30  % (3360691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.20/17.30  % (3360691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.20/17.30  % (3360691)CaDiCaL version: 2.1.3
% 116.20/17.30  % (3360691)Termination reason: Refutation not found, incomplete strategy
% 116.20/17.30  % (3360691)Time elapsed: 0.001 s
% 116.20/17.30  % (3360691)Peak memory usage: 88 MB
% 116.20/17.30  % (3360691)Instructions burned: 2 (million)
% 116.20/17.30  % (3360691)------------------------------
% 116.20/17.30  % (3360691)------------------------------
% 116.20/17.30  % (3360693)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=337797690:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2943 on theBenchmark for (2943ds/757Mi)
% 116.20/17.30  % (3360693)Refutation not found, incomplete strategy
% 116.20/17.30  % (3360693)------------------------------
% 116.20/17.30  % (3360693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.20/17.30  % (3360693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.20/17.30  % (3360693)CaDiCaL version: 2.1.3
% 116.20/17.30  % (3360693)Termination reason: Refutation not found, incomplete strategy
% 116.20/17.30  % (3360693)Time elapsed: 0.002 s
% 116.20/17.30  % (3360693)Peak memory usage: 88 MB
% 116.20/17.30  % (3360693)Instructions burned: 3 (million)
% 116.20/17.30  % (3360693)------------------------------
% 116.20/17.30  % (3360693)------------------------------
% 116.20/17.30  % (3360695)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=4140423486:i=13913:ss=axioms:sgt=8_2940 on theBenchmark for (2940ds/13913Mi)
% 116.20/17.30  % (3360660)Instruction limit reached! 
% 116.20/17.30  % (3360660)------------------------------
% 131.00/19.36  % (3360660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.00/19.36  % (3360660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.00/19.36  % (3360660)CaDiCaL version: 2.1.3
% 131.00/19.36  % (3360660)Termination reason: Instruction limit
% 131.00/19.36  % (3360660)Termination phase: Saturation
% 131.00/19.36  % (3360660)Time elapsed: 7.775 s
% 131.00/19.36  % (3360660)Peak memory usage: 223 MB
% 131.00/19.36  % (3360660)Instructions burned: 13193 (million)
% 131.00/19.36  % (3360697)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3700665030:i=9925:aac=none_2905 on theBenchmark for (2905ds/9925Mi)
% 131.00/19.36  % (3360695)Instruction limit reached! 
% 131.00/19.36  % (3360695)------------------------------
% 131.00/19.36  % (3360695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.00/19.36  % (3360695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.00/19.36  % (3360695)CaDiCaL version: 2.1.3
% 131.00/19.36  % (3360695)Termination reason: Instruction limit
% 131.00/19.36  % (3360695)Termination phase: Saturation
% 131.00/19.36  % (3360695)Time elapsed: 4.396 s
% 131.00/19.36  % (3360695)Peak memory usage: 237 MB
% 131.00/19.36  % (3360695)Instructions burned: 13915 (million)
% 131.00/19.36  % (3360699)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=700279730:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2895 on theBenchmark for (2895ds/2479Mi)
% 131.00/19.36  % (3360699)Refutation not found, incomplete strategy
% 131.00/19.36  % (3360699)------------------------------
% 131.00/19.36  % (3360699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.00/19.36  % (3360699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.00/19.36  % (3360699)CaDiCaL version: 2.1.3
% 131.00/19.36  % (3360699)Termination reason: Refutation not found, incomplete strategy
% 131.00/19.36  % (3360699)Time elapsed: 0.002 s
% 131.00/19.36  % (3360699)Peak memory usage: 88 MB
% 131.00/19.36  % (3360699)Instructions burned: 3 (million)
% 131.00/19.36  % (3360699)------------------------------
% 131.00/19.36  % (3360699)------------------------------
% 131.00/19.36  % (3360701)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2651256318:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2892 on theBenchmark for (2892ds/440Mi)
% 131.00/19.36  % (3360701)Instruction limit reached! 
% 131.00/19.36  % (3360701)------------------------------
% 131.00/19.36  % (3360701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.00/19.36  % (3360701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.00/19.36  % (3360701)CaDiCaL version: 2.1.3
% 131.00/19.36  % (3360701)Termination reason: Instruction limit
% 131.00/19.36  % (3360701)Termination phase: Saturation
% 131.00/19.36  % (3360701)Time elapsed: 0.129 s
% 131.00/19.36  % (3360701)Peak memory usage: 93 MB
% 131.00/19.36  % (3360701)Instructions burned: 444 (million)
% 131.00/19.36  % (3360703)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3274239438:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2889 on theBenchmark for (2889ds/11145Mi)
% 131.00/19.36  % (3360675)Instruction limit reached! 
% 131.00/19.36  % (3360675)------------------------------
% 131.00/19.36  % (3360675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.00/19.36  % (3360675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.00/19.36  % (3360675)CaDiCaL version: 2.1.3
% 131.00/19.36  % (3360675)Termination reason: Instruction limit
% 131.00/19.36  % (3360675)Termination phase: Saturation
% 131.00/19.36  % (3360675)Time elapsed: 9.448 s
% 131.00/19.36  % (3360675)Peak memory usage: 239 MB
% 131.00/19.36  % (3360675)Instructions burned: 14157 (million)
% 131.00/19.36  % (3360705)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=3695721634:cts=off:i=3034:av=off:er=known:fsd=on_2875 on theBenchmark for (2875ds/3034Mi)
% 131.00/19.36  % (3360685)Instruction limit reached! 
% 131.00/19.36  % (3360685)------------------------------
% 131.00/19.36  % (3360685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 131.00/19.36  % (3360685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 131.00/19.36  % (3360685)CaDiCaL version: 2.1.3
% 131.00/19.36  % (3360685)Termination reason: Instruction limit
% 131.00/19.36  % (3360685)Termination phase: Saturation
% 131.00/19.36  % (3360685)Time elapsed: 8.572 s
% 131.00/19.36  % (3360685)Peak memory usage: 195 MB
% 131.00/19.36  % (3360685)Instructions burned: 12111 (million)
% 168.00/24.51  % (3360707)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=2307961828:st=2:s2a=on:i=524:s2at=2:ss=axioms_2864 on theBenchmark for (2864ds/524Mi)
% 168.00/24.51  % (3360707)Instruction limit reached! 
% 168.00/24.51  % (3360707)------------------------------
% 168.00/24.51  % (3360707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 168.00/24.51  % (3360707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 168.00/24.51  % (3360707)CaDiCaL version: 2.1.3
% 168.00/24.51  % (3360707)Termination reason: Instruction limit
% 168.00/24.51  % (3360707)Termination phase: Saturation
% 168.00/24.51  % (3360707)Time elapsed: 0.271 s
% 168.00/24.51  % (3360707)Peak memory usage: 90 MB
% 168.00/24.51  % (3360707)Instructions burned: 524 (million)
% 168.00/24.51  % (3360709)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=2066710498:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2859 on theBenchmark for (2859ds/1016Mi)
% 168.00/24.51  % (3360705)Instruction limit reached! 
% 168.00/24.51  % (3360705)------------------------------
% 168.00/24.51  % (3360705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 168.00/24.52  % (3360705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 168.00/24.52  % (3360705)CaDiCaL version: 2.1.3
% 168.00/24.52  % (3360705)Termination reason: Instruction limit
% 168.00/24.52  % (3360705)Termination phase: Saturation
% 168.00/24.52  % (3360705)Time elapsed: 1.741 s
% 168.00/24.52  % (3360705)Peak memory usage: 134 MB
% 168.00/24.52  % (3360705)Instructions burned: 3035 (million)
% 168.00/24.52  % (3360711)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=2834028899:i=14123:bd=preordered:ins=4_2856 on theBenchmark for (2856ds/14123Mi)
% 168.00/24.52  % (3360703)Instruction limit reached! 
% 168.00/24.52  % (3360703)------------------------------
% 168.00/24.52  % (3360703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 168.00/24.52  % (3360703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 168.00/24.52  % (3360703)CaDiCaL version: 2.1.3
% 168.00/24.52  % (3360703)Termination reason: Instruction limit
% 168.00/24.52  % (3360703)Termination phase: Saturation
% 168.00/24.52  % (3360703)Time elapsed: 3.528 s
% 168.00/24.52  % (3360703)Peak memory usage: 212 MB
% 168.00/24.52  % (3360703)Instructions burned: 11148 (million)
% 168.00/24.52  % (3360713)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=3888778340:i=5781:kws=precedence:bd=all:rawr=on_2853 on theBenchmark for (2853ds/5781Mi)
% 168.00/24.52  % (3360709)Instruction limit reached! 
% 168.00/24.52  % (3360709)------------------------------
% 168.00/24.52  % (3360709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 168.00/24.52  % (3360709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 168.00/24.52  % (3360709)CaDiCaL version: 2.1.3
% 168.00/24.52  % (3360709)Termination reason: Instruction limit
% 168.00/24.52  % (3360709)Termination phase: Saturation
% 168.00/24.52  % (3360709)Time elapsed: 0.640 s
% 168.00/24.52  % (3360709)Peak memory usage: 99 MB
% 168.00/24.52  % (3360709)Instructions burned: 1017 (million)
% 168.00/24.52  % (3360715)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=4184322928:i=2448:gtgl=5:bd=preordered:gtg=all_2851 on theBenchmark for (2851ds/2448Mi)
% 168.00/24.52  % (3360697)Instruction limit reached! 
% 168.00/24.52  % (3360697)------------------------------
% 168.00/24.52  % (3360697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 168.00/24.52  % (3360697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 168.00/24.52  % (3360697)CaDiCaL version: 2.1.3
% 168.00/24.52  % (3360697)Termination reason: Instruction limit
% 168.00/24.52  % (3360697)Termination phase: Saturation
% 168.00/24.52  % (3360697)Time elapsed: 5.664 s
% 168.00/24.52  % (3360697)Peak memory usage: 190 MB
% 168.00/24.52  % (3360697)Instructions burned: 9926 (million)
% 168.00/24.52  % (3360717)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=1035162704:i=3223:kws=precedence:fgj=on:av=off_2847 on theBenchmark for (2847ds/3223Mi)
% 168.00/24.52  % (3360713)Instruction limit reached! 
% 168.00/24.52  % (3360713)------------------------------
% 168.00/24.52  % (3360713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 168.00/24.52  % (3360713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 168.00/24.52  % (3360713)CaDiCaL version: 2.1.3
% 168.00/24.52  % (3360713)Termination reason: Instruction limit
% 185.97/27.07  % (3360713)Termination phase: Saturation
% 185.97/27.07  % (3360713)Time elapsed: 1.631 s
% 185.97/27.07  % (3360713)Peak memory usage: 103 MB
% 185.97/27.07  % (3360713)Instructions burned: 5782 (million)
% 185.97/27.07  % (3360715)Instruction limit reached! 
% 185.97/27.07  % (3360715)------------------------------
% 185.97/27.07  % (3360715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 185.97/27.07  % (3360715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 185.97/27.07  % (3360715)CaDiCaL version: 2.1.3
% 185.97/27.07  % (3360715)Termination reason: Instruction limit
% 185.97/27.07  % (3360715)Termination phase: Saturation
% 185.97/27.07  % (3360715)Time elapsed: 1.501 s
% 185.97/27.07  % (3360715)Peak memory usage: 141 MB
% 185.97/27.07  % (3360715)Instructions burned: 2449 (million)
% 185.97/27.07  % (3360719)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=946668020:st=5.6:i=2033:sd=3:ss=axioms_2835 on theBenchmark for (2835ds/2033Mi)
% 185.97/27.07  % (3360720)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=492747592:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2835 on theBenchmark for (2835ds/2055Mi)
% 185.97/27.07  % (3360719)Refutation not found, incomplete strategy
% 185.97/27.07  % (3360719)------------------------------
% 185.97/27.07  % (3360719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 185.97/27.07  % (3360719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 185.97/27.07  % (3360719)CaDiCaL version: 2.1.3
% 185.97/27.07  % (3360719)Termination reason: Refutation not found, incomplete strategy
% 185.97/27.07  % (3360719)Time elapsed: 0.361 s
% 185.97/27.07  % (3360719)Peak memory usage: 128 MB
% 185.97/27.07  % (3360719)Instructions burned: 897 (million)
% 185.97/27.07  % (3360719)------------------------------
% 185.97/27.07  % (3360719)------------------------------
% 185.97/27.07  % (3360723)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=3679799476:i=21611:sd=3:ss=axioms_2829 on theBenchmark for (2829ds/21611Mi)
% 185.97/27.07  % (3360717)Instruction limit reached! 
% 185.97/27.07  % (3360717)------------------------------
% 185.97/27.07  % (3360717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 185.97/27.07  % (3360717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 185.97/27.07  % (3360717)CaDiCaL version: 2.1.3
% 185.97/27.07  % (3360717)Termination reason: Instruction limit
% 185.97/27.07  % (3360717)Termination phase: Saturation
% 185.97/27.07  % (3360717)Time elapsed: 1.879 s
% 185.97/27.07  % (3360717)Peak memory usage: 140 MB
% 185.97/27.07  % (3360717)Instructions burned: 3223 (million)
% 185.97/27.07  % (3360725)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=1987071886:i=4835:sd=13:ss=axioms:sgt=23_2826 on theBenchmark for (2826ds/4835Mi)
% 185.97/27.07  % (3360720)Instruction limit reached! 
% 185.97/27.07  % (3360720)------------------------------
% 185.97/27.07  % (3360720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 185.97/27.07  % (3360720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 185.97/27.07  % (3360720)CaDiCaL version: 2.1.3
% 185.97/27.07  % (3360720)Termination reason: Instruction limit
% 185.97/27.07  % (3360720)Termination phase: Saturation
% 185.97/27.07  % (3360720)Time elapsed: 1.281 s
% 185.97/27.07  % (3360720)Peak memory usage: 134 MB
% 185.97/27.07  % (3360720)Instructions burned: 2056 (million)
% 185.97/27.07  % (3360727)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=946619178:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2820 on theBenchmark for (2820ds/797Mi)
% 185.97/27.07  % (3360727)Refutation not found, incomplete strategy
% 185.97/27.07  % (3360727)------------------------------
% 185.97/27.07  % (3360727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 185.97/27.07  % (3360727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 185.97/27.07  % (3360727)CaDiCaL version: 2.1.3
% 185.97/27.07  % (3360727)Termination reason: Refutation not found, incomplete strategy
% 185.97/27.07  % (3360727)Time elapsed: 0.006 s
% 185.97/27.07  % (3360727)Peak memory usage: 88 MB
% 185.97/27.07  % (3360727)Instructions burned: 8 (million)
% 185.97/27.07  % (3360727)------------------------------
% 185.97/27.07  % (3360727)------------------------------
% 185.97/27.07  % (3360729)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=2524331581:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2816 on theBenchmark for (2816ds/2326Mi)
% 99.45/27.75  % (3360729)Refutation not found, incomplete strategy
% 99.45/27.75  % (3360729)------------------------------
% 99.45/27.75  % (3360729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.45/27.75  % (3360729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.45/27.75  % (3360729)CaDiCaL version: 2.1.3
% 99.45/27.75  % (3360729)Termination reason: Refutation not found, incomplete strategy
% 99.45/27.75  % (3360729)Time elapsed: 0.003 s
% 99.45/27.75  % (3360729)Peak memory usage: 88 MB
% 99.45/27.75  % (3360729)Instructions burned: 4 (million)
% 99.45/27.75  % (3360729)------------------------------
% 99.45/27.75  % (3360729)------------------------------
% 99.45/27.75  % (3360731)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=2395225054:i=6038:nm=6_2812 on theBenchmark for (2812ds/6038Mi)
% 99.45/27.75  % (3360731)Refutation not found, incomplete strategy
% 99.45/27.75  % (3360731)------------------------------
% 99.45/27.75  % (3360731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.45/27.75  % (3360731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.45/27.75  % (3360731)CaDiCaL version: 2.1.3
% 99.45/27.75  % (3360731)Termination reason: Refutation not found, incomplete strategy
% 99.45/27.75  % (3360731)Time elapsed: 0.565 s
% 99.45/27.75  % (3360731)Peak memory usage: 128 MB
% 99.45/27.75  % (3360731)Instructions burned: 857 (million)
% 99.45/27.75  % (3360731)------------------------------
% 99.45/27.75  % (3360731)------------------------------
% 99.45/27.75  % (3360725)Instruction limit reached! 
% 99.45/27.75  % (3360725)------------------------------
% 99.45/27.75  % (3360725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.45/27.75  % (3360725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.45/27.75  % (3360725)CaDiCaL version: 2.1.3
% 99.45/27.75  % (3360725)Termination reason: Instruction limit
% 99.45/27.75  % (3360725)Termination phase: Saturation
% 99.45/27.75  % (3360725)Time elapsed: 2.361 s
% 99.45/27.75  % (3360725)Peak memory usage: 100 MB
% 99.45/27.75  % (3360725)Instructions burned: 4837 (million)
% 99.45/27.75  % (3360734)lrs+10_1_sil=32000:sp=occurrence:random_seed=273095555:st=2:i=33334:sd=3:ss=included:sgt=32_2802 on theBenchmark for (2802ds/33334Mi)
% 99.45/27.75  % (3360735)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=1109514659:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2801 on theBenchmark for (2801ds/1008Mi)
% 99.45/27.75  % (3360735)Refutation not found, incomplete strategy
% 99.45/27.75  % (3360735)------------------------------
% 99.45/27.75  % (3360735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.45/27.75  % (3360735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.45/27.75  % (3360735)CaDiCaL version: 2.1.3
% 99.45/27.75  % (3360735)Termination reason: Refutation not found, incomplete strategy
% 99.45/27.75  % (3360735)Time elapsed: 0.004 s
% 99.45/27.75  % (3360735)Peak memory usage: 88 MB
% 99.45/27.75  % (3360735)Instructions burned: 4 (million)
% 99.45/27.75  % (3360735)------------------------------
% 99.45/27.75  % (3360735)------------------------------
% 99.45/27.75  % (3360738)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=549461648:i=8327:s2at=5:bd=preordered_2797 on theBenchmark for (2797ds/8327Mi)
% 99.45/27.75  % (3360711)Instruction limit reached! 
% 99.45/27.75  % (3360711)------------------------------
% 99.45/27.75  % (3360711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.45/27.75  % (3360711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.45/27.75  % (3360711)CaDiCaL version: 2.1.3
% 99.45/27.75  % (3360711)Termination reason: Instruction limit
% 99.45/27.75  % (3360711)Termination phase: Saturation
% 99.45/27.75  % (3360711)Time elapsed: 8.430 s
% 99.45/27.75  % (3360711)Peak memory usage: 216 MB
% 99.45/27.75  % (3360711)Instructions burned: 14124 (million)
% 99.45/27.75  % (3360740)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=782875726:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2770 on theBenchmark for (2770ds/1083Mi)
% 99.45/27.75  % (3360740)Instruction limit reached! 
% 99.45/27.75  % (3360740)------------------------------
% 99.45/27.75  % (3360740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.45/27.75  % (3360740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.45/27.75  % (3360740)CaDiCaL version: 2.1.3
% 99.45/27.75  % (3360740)Termination reason: Instruction limit
% 99.45/27.75  % (3360740)Termination phase: Saturation
% 99.45/27.75  % (3360740)Time elapsed: 0.510 s
% 99.45/27.75  % (3360740)Peak memory usage: 100 MB
% 99.45/27.75  % (3360740)Instructions burned: 1084 (million)
% 99.45/27.75  % (3360723)Instruction limit reached! 
% 99.45/27.75  % (3360723)------------------------------
% 99.45/27.75  % (3360723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.45/27.75  % (3360723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.45/27.75  % (3360723)CaDiCaL version: 2.1.3
% 99.45/27.75  % (3360723)Termination reason: Instruction limit
% 99.45/27.75  % (3360723)Termination phase: Saturation
% 99.45/27.75  % (3360723)Time elapsed: 6.484 s
% 99.45/27.75  % (3360723)Peak memory usage: 245 MB
% 99.45/27.75  % (3360723)Instructions burned: 21614 (million)
% 99.45/27.75  % (3360742)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=1492974707:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2763 on theBenchmark for (2763ds/1084Mi)
% 99.45/27.75  % (3360743)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=1077535491:i=6995:s2at=5:gtg=all_2763 on theBenchmark for (2763ds/6995Mi)
% 99.45/27.75  % (3360742)Instruction limit reached! 
% 99.45/27.75  % (3360742)------------------------------
% 99.45/27.75  % (3360742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.45/27.75  % (3360742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.45/27.75  % (3360742)CaDiCaL version: 2.1.3
% 99.45/27.75  % (3360742)Termination reason: Instruction limit
% 99.45/27.75  % (3360742)Termination phase: Saturation
% 99.45/27.75  % (3360742)Time elapsed: 0.583 s
% 99.45/27.75  % (3360742)Peak memory usage: 96 MB
% 99.45/27.75  % (3360742)Instructions burned: 1084 (million)
% 99.45/27.75  % (3360746)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=577595665:st=2:i=6225:sd=15:ss=axioms_2756 on theBenchmark for (2756ds/6225Mi)
% 99.45/27.75  % (3360746)Refutation not found, incomplete strategy
% 99.45/27.75  % (3360746)------------------------------
% 99.45/27.75  % (3360746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.45/27.75  % (3360746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.45/27.75  % (3360746)CaDiCaL version: 2.1.3
% 99.45/27.75  % (3360746)Termination reason: Refutation not found, incomplete strategy
% 99.45/27.75  % (3360746)Time elapsed: 0.005 s
% 99.45/27.75  % (3360746)Peak memory usage: 89 MB
% 99.45/27.75  % (3360746)Instructions burned: 6 (million)
% 99.45/27.75  % (3360746)------------------------------
% 99.45/27.75  % (3360746)------------------------------
% 99.45/27.75  % (3360738)Instruction limit reached! 
% 99.45/27.75  % (3360738)------------------------------
% 99.45/27.75  % (3360738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.45/27.75  % (3360738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.45/27.75  % (3360738)CaDiCaL version: 2.1.3
% 99.45/27.75  % (3360738)Termination reason: Instruction limit
% 99.45/27.75  % (3360738)Termination phase: Saturation
% 99.45/27.75  % (3360738)Time elapsed: 4.482 s
% 99.45/27.75  % (3360738)Peak memory usage: 161 MB
% 99.45/27.75  % (3360738)Instructions burned: 8327 (million)
% 99.45/27.75  % (3360748)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=2292602195:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2752 on theBenchmark for (2752ds/3372Mi)
% 99.45/27.75  % (3360749)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=1280305330:st=2.3:i=26457:sd=10:ss=included:sgt=8_2750 on theBenchmark for (2750ds/26457Mi)
% 99.45/27.75  % (3360743)Instruction limit reached! 
% 99.45/27.75  % (3360743)------------------------------
% 99.45/27.75  % (3360743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.45/27.75  % (3360743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.45/27.75  % (3360743)CaDiCaL version: 2.1.3
% 99.45/27.75  % (3360743)Termination reason: Instruction limit
% 99.45/27.75  % (3360743)Termination phase: Saturation
% 99.45/27.75  % (3360743)Time elapsed: 2.256 s
% 99.45/27.75  % (3360743)Peak memory usage: 165 MB
% 99.45/27.75  % (3360743)Instructions burned: 6997 (million)
% 99.45/27.75  % (3360752)lrs+10_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:foolp=on:s2agt=20:sac=on:random_seed=3312245211:i=13494:s2at=1.31:bd=all:ins=10:gtg=exists_top_2739 on theBenchmark for (2739ds/13494Mi)
% 99.45/27.75  % (3360748)First to succeed.
% 99.45/27.75  % (3360748)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3360614"
% 99.45/27.75  % (3360748)Refutation found. Thanks to Tanya!
% 99.45/27.75  % SZS status Theorem for theBenchmark
% 99.45/27.75  % SZS output start Proof for theBenchmark
% See solution above
% 191.05/27.95  % (3360748)------------------------------
% 191.05/27.95  % (3360748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 191.05/27.95  % (3360748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 191.05/27.95  % (3360748)CaDiCaL version: 2.1.3
% 191.05/27.95  % (3360748)Termination reason: Refutation
% 191.05/27.95  % (3360748)Time elapsed: 1.605 s
% 191.05/27.95  % (3360748)Peak memory usage: 144 MB
% 191.05/27.95  % (3360748)Instructions burned: 2516 (million)
% 191.05/27.95  % (3360748)------------------------------
% 191.05/27.95  % (3360748)------------------------------
% 191.05/27.95  % (3360614)Success in time 26.874 s
% 191.05/27.95  % Vampire exiting
%------------------------------------------------------------------------------