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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEV534+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 12:57:55 PM UTC 2026

% Result   : Theorem 76.48s 11.87s
% Output   : Refutation 77.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   81
% Syntax   : Number of formulae    :  640 ( 118 unt;  67 def)
%            Number of atoms       : 1478 ( 133 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives : 1435 ( 597   ~; 733   |;  31   &)
%                                         (  67 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    9 (   1 avg)
%            Number of predicates  :   65 (  63 usr;  58 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  11 con; 0-2 aty)
%            Number of variables   :  279 (   0 sgn 269   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( subq(X0,X1)
    <=> ! [X2] :
          ( mem(X2,X0)
         => mem(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subq_def) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subq(X0,X1)
     => ( subq(X1,X0)
       => X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setext) ).

fof(f4,axiom,
    ! [X0] : ~ mem(X0,e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_ax) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( mem(X0,s(X1))
    <=> X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_ax) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( mem(X0,u(X1,X2))
    <=> ( mem(X0,X1)
        | mem(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_ax) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( mem(X0,m(X1,X2))
    <=> ( mem(X0,X1)
        & ~ mem(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_ax) ).

fof(f8,axiom,
    ! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_def) ).

fof(f9,axiom,
    ! [X0] : n(X0) = a(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_def) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( mem(X0,p(X1))
    <=> subq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_ax) ).

fof(f11,axiom,
    ! [X0] :
      ( atleast2p(X0)
    <=> ? [X1] :
          ( mem(X1,X0)
          & ~ subq(X0,p(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',atleast2p_def) ).

fof(f12,axiom,
    ! [X0] :
      ( atleast3p(X0)
    <=> ? [X1] :
          ( subq(X1,X0)
          & atleast2p(X1)
          & ~ subq(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',atleast3p_def) ).

fof(f13,axiom,
    ! [X0] :
      ( atleast4p(X0)
    <=> ? [X1] :
          ( subq(X1,X0)
          & atleast3p(X1)
          & ~ subq(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',atleast4p_def) ).

fof(f14,axiom,
    ! [X0] :
      ( atleast5p(X0)
    <=> ? [X1] :
          ( subq(X1,X0)
          & atleast4p(X1)
          & ~ subq(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',atleast5p_def) ).

fof(f26,conjecture,
    atleast5p(u(p(p(s(n(e)))),n(n(s(n(e)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',atleast5_119) ).

fof(f27,negated_conjecture,
    ~ atleast5p(u(p(p(s(n(e)))),n(n(s(n(e)))))),
    inference(negated_conjecture,[status(cth)],[f26]) ).

fof(f28,plain,
    ~ atleast5p(u(p(p(s(n(e)))),n(n(s(n(e)))))),
    inference(flattening,[],[f27]) ).

fof(f29,plain,
    ! [X0] :
      ( ? [X1] :
          ( subq(X1,X0)
          & atleast4p(X1)
          & ~ subq(X0,X1) )
     => atleast5p(X0) ),
    inference(unused_predicate_definition_removal,[],[f14]) ).

fof(f30,plain,
    ! [X0] :
      ( ? [X1] :
          ( subq(X1,X0)
          & atleast3p(X1)
          & ~ subq(X0,X1) )
     => atleast4p(X0) ),
    inference(unused_predicate_definition_removal,[],[f13]) ).

fof(f31,plain,
    ! [X0] :
      ( ? [X1] :
          ( subq(X1,X0)
          & atleast2p(X1)
          & ~ subq(X0,X1) )
     => atleast3p(X0) ),
    inference(unused_predicate_definition_removal,[],[f12]) ).

fof(f32,plain,
    ! [X0] :
      ( ? [X1] :
          ( mem(X1,X0)
          & ~ subq(X0,p(X1)) )
     => atleast2p(X0) ),
    inference(unused_predicate_definition_removal,[],[f11]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( subq(X0,X1)
    <=> ! [X2] :
          ( mem(X2,X1)
          | ~ mem(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ subq(X1,X0)
      | ~ subq(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ subq(X1,X0)
      | ~ subq(X0,X1) ),
    inference(flattening,[],[f34]) ).

fof(f36,plain,
    ! [X0] :
      ( atleast2p(X0)
      | ! [X1] :
          ( ~ mem(X1,X0)
          | subq(X0,p(X1)) ) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f37,plain,
    ! [X0] :
      ( atleast3p(X0)
      | ! [X1] :
          ( ~ subq(X1,X0)
          | ~ atleast2p(X1)
          | subq(X0,X1) ) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f38,plain,
    ! [X0] :
      ( atleast4p(X0)
      | ! [X1] :
          ( ~ subq(X1,X0)
          | ~ atleast3p(X1)
          | subq(X0,X1) ) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f39,plain,
    ! [X0] :
      ( atleast5p(X0)
      | ! [X1] :
          ( ~ subq(X1,X0)
          | ~ atleast4p(X1)
          | subq(X0,X1) ) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ( subq(X0,X1)
        | ? [X2] :
            ( ~ mem(X2,X1)
            & mem(X2,X0) ) )
      & ( ! [X2] :
            ( mem(X2,X1)
            | ~ mem(X2,X0) )
        | ~ subq(X0,X1) ) ),
    inference(nnf_transformation,[],[f33]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ( subq(X0,X1)
        | ? [X2] :
            ( ~ mem(X2,X1)
            & mem(X2,X0) ) )
      & ( ! [X3] :
            ( mem(X3,X1)
            | ~ mem(X3,X0) )
        | ~ subq(X0,X1) ) ),
    inference(rectify,[],[f40]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ( subq(X0,X1)
        | ( ~ mem(sK0(X0,X1),X1)
          & mem(sK0(X0,X1),X0) ) )
      & ( ! [X3] :
            ( mem(X3,X1)
            | ~ mem(X3,X0) )
        | ~ subq(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f41]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ( mem(X0,s(X1))
        | X0 != X1 )
      & ( X0 = X1
        | ~ mem(X0,s(X1)) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( ( mem(X0,u(X1,X2))
        | ( ~ mem(X0,X1)
          & ~ mem(X0,X2) ) )
      & ( mem(X0,X1)
        | mem(X0,X2)
        | ~ mem(X0,u(X1,X2)) ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( ( mem(X0,u(X1,X2))
        | ( ~ mem(X0,X1)
          & ~ mem(X0,X2) ) )
      & ( mem(X0,X1)
        | mem(X0,X2)
        | ~ mem(X0,u(X1,X2)) ) ),
    inference(flattening,[],[f44]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( ( mem(X0,m(X1,X2))
        | ~ mem(X0,X1)
        | mem(X0,X2) )
      & ( ( mem(X0,X1)
          & ~ mem(X0,X2) )
        | ~ mem(X0,m(X1,X2)) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( ( mem(X0,m(X1,X2))
        | ~ mem(X0,X1)
        | mem(X0,X2) )
      & ( ( mem(X0,X1)
          & ~ mem(X0,X2) )
        | ~ mem(X0,m(X1,X2)) ) ),
    inference(flattening,[],[f46]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ( mem(X0,p(X1))
        | ~ subq(X0,X1) )
      & ( subq(X0,X1)
        | ~ mem(X0,p(X1)) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f49,plain,
    ! [X3,X0,X1] :
      ( ~ mem(X3,X0)
      | mem(X3,X1)
      | ~ subq(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( mem(sK0(X0,X1),X0)
      | subq(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ mem(sK0(X0,X1),X1)
      | subq(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ subq(X1,X0)
      | X0 = X1
      | ~ subq(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f53,plain,
    ! [X0] : ~ mem(X0,e),
    inference(cnf_transformation,[],[f4]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ~ mem(X0,s(X1))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( mem(X0,s(X1))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,u(X1,X2))
      | mem(X0,X2)
      | mem(X0,X1) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f57,plain,
    ! [X2,X0,X1] :
      ( mem(X0,u(X1,X2))
      | ~ mem(X0,X2) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( mem(X0,u(X1,X2))
      | ~ mem(X0,X1) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f59,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,m(X1,X2))
      | ~ mem(X0,X2) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f60,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,m(X1,X2))
      | mem(X0,X1) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f61,plain,
    ! [X2,X0,X1] :
      ( mem(X0,m(X1,X2))
      | ~ mem(X0,X1)
      | mem(X0,X2) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f62,plain,
    ! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
    inference(cnf_transformation,[],[f8]) ).

fof(f63,plain,
    ! [X0] : n(X0) = a(X0,X0),
    inference(cnf_transformation,[],[f9]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ~ mem(X0,p(X1))
      | subq(X0,X1) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( mem(X0,p(X1))
      | ~ subq(X0,X1) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( subq(X0,p(X1))
      | ~ mem(X1,X0)
      | atleast2p(X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ subq(X1,X0)
      | atleast3p(X0)
      | ~ atleast2p(X1)
      | subq(X0,X1) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ subq(X1,X0)
      | atleast4p(X0)
      | ~ atleast3p(X1)
      | subq(X0,X1) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ subq(X1,X0)
      | atleast5p(X0)
      | ~ atleast4p(X1)
      | subq(X0,X1) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f70,plain,
    ~ atleast5p(u(p(p(s(n(e)))),n(n(s(n(e)))))),
    inference(cnf_transformation,[],[f28]) ).

fof(f71,plain,
    ! [X0] : n(X0) = u(X0,s(X0)),
    inference(definition_unfolding,[],[f63,f62]) ).

fof(f72,plain,
    ~ atleast5p(u(p(p(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))))),
    inference(definition_unfolding,[],[f70,f71,f71,f71,f71]) ).

fof(f73,plain,
    ! [X1] : mem(X1,s(X1)),
    inference(equality_resolution,[],[f55]) ).

fof(f74,definition,
    sF1 = s(e),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f75,plain,
    s(e) = sF1,
    inference(reorient_equations,[],[f74]) ).

fof(f76,definition,
    sF2 = u(e,sF1),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f77,plain,
    u(e,sF1) = sF2,
    inference(reorient_equations,[],[f76]) ).

fof(f78,definition,
    sF3 = s(sF2),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f79,plain,
    s(sF2) = sF3,
    inference(reorient_equations,[],[f78]) ).

fof(f80,definition,
    sF4 = p(sF3),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f81,plain,
    p(sF3) = sF4,
    inference(reorient_equations,[],[f80]) ).

fof(f82,definition,
    sF5 = p(sF4),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f83,plain,
    p(sF4) = sF5,
    inference(reorient_equations,[],[f82]) ).

fof(f84,definition,
    sF6 = s(sF3),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f85,plain,
    s(sF3) = sF6,
    inference(reorient_equations,[],[f84]) ).

fof(f86,definition,
    sF7 = u(sF3,sF6),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f87,plain,
    u(sF3,sF6) = sF7,
    inference(reorient_equations,[],[f86]) ).

fof(f88,definition,
    sF8 = s(sF7),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f89,plain,
    s(sF7) = sF8,
    inference(reorient_equations,[],[f88]) ).

fof(f90,definition,
    sF9 = u(sF7,sF8),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f91,plain,
    u(sF7,sF8) = sF9,
    inference(reorient_equations,[],[f90]) ).

fof(f92,definition,
    sF10 = u(sF5,sF9),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f93,plain,
    u(sF5,sF9) = sF10,
    inference(reorient_equations,[],[f92]) ).

fof(f94,plain,
    ~ atleast5p(sF10),
    inference(definition_folding,[],[f72,f93,f91,f89,f87,f85,f79,f77,f75,f79,f77,f75,f87,f85,f79,f77,f75,f79,f77,f75,f83,f81,f79,f77,f75]) ).

fof(f95,plain,
    mem(e,sF1),
    inference(superposition,[],[f73,f75]) ).

fof(f96,plain,
    mem(sF2,sF3),
    inference(superposition,[],[f73,f79]) ).

fof(f97,plain,
    mem(sF3,sF6),
    inference(superposition,[],[f73,f85]) ).

fof(f98,plain,
    mem(sF7,sF8),
    inference(superposition,[],[f73,f89]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ mem(X0,sF4)
      | subq(X0,sF3) ),
    inference(superposition,[],[f64,f81]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ mem(X0,sF5)
      | subq(X0,sF4) ),
    inference(superposition,[],[f64,f83]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ mem(X0,sF1)
      | mem(X0,sF2) ),
    inference(superposition,[],[f57,f77]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ mem(X0,sF6)
      | mem(X0,sF7) ),
    inference(superposition,[],[f57,f87]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ mem(X0,sF9)
      | mem(X0,sF10) ),
    inference(superposition,[],[f57,f93]) ).

fof(f104,plain,
    ! [X0] :
      ( ~ mem(X0,sF8)
      | mem(X0,sF9) ),
    inference(superposition,[],[f57,f91]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ mem(X0,sF1)
      | e = X0 ),
    inference(superposition,[],[f54,f75]) ).

fof(f107,plain,
    ! [X0] :
      ( ~ mem(X0,sF3)
      | sF2 = X0 ),
    inference(superposition,[],[f54,f79]) ).

fof(f108,plain,
    ! [X0] :
      ( ~ mem(X0,sF6)
      | sF3 = X0 ),
    inference(superposition,[],[f54,f85]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ mem(X0,sF8)
      | sF7 = X0 ),
    inference(superposition,[],[f54,f89]) ).

fof(f111,plain,
    ! [X0] :
      ( ~ mem(X0,sF3)
      | mem(X0,sF7) ),
    inference(superposition,[],[f58,f87]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ mem(X0,sF5)
      | mem(X0,sF10) ),
    inference(superposition,[],[f58,f93]) ).

fof(f113,plain,
    ! [X0] :
      ( ~ mem(X0,sF7)
      | mem(X0,sF9) ),
    inference(superposition,[],[f58,f91]) ).

fof(f114,plain,
    mem(sF3,sF7),
    inference(resolution,[],[f102,f97]) ).

fof(f117,plain,
    ! [X0] :
      ( ~ mem(X0,sF2)
      | mem(X0,sF1)
      | mem(X0,e) ),
    inference(superposition,[],[f56,f77]) ).

fof(f118,plain,
    ! [X0] :
      ( ~ mem(X0,sF7)
      | mem(X0,sF6)
      | mem(X0,sF3) ),
    inference(superposition,[],[f56,f87]) ).

fof(f119,plain,
    ! [X0] :
      ( ~ mem(X0,sF10)
      | mem(X0,sF9)
      | mem(X0,sF5) ),
    inference(superposition,[],[f56,f93]) ).

fof(f120,plain,
    ! [X0] :
      ( ~ mem(X0,sF9)
      | mem(X0,sF8)
      | mem(X0,sF7) ),
    inference(superposition,[],[f56,f91]) ).

fof(f121,plain,
    ! [X0] :
      ( ~ mem(X0,sF2)
      | mem(X0,sF1) ),
    inference(forward_subsumption_resolution,[],[f117,f53]) ).

fof(f122,plain,
    ! [X0] : subq(e,X0),
    inference(resolution,[],[f50,f53]) ).

fof(f124,plain,
    ! [X2,X0,X1] :
      ( mem(sK0(u(X0,X1),X2),X1)
      | mem(sK0(u(X0,X1),X2),X0)
      | subq(u(X0,X1),X2) ),
    inference(resolution,[],[f50,f56]) ).

fof(f126,plain,
    ! [X0] :
      ( mem(sK0(sF5,X0),sF10)
      | subq(sF5,X0) ),
    inference(resolution,[],[f50,f112]) ).

fof(f129,plain,
    ! [X0] :
      ( mem(sK0(sF9,X0),sF10)
      | subq(sF9,X0) ),
    inference(resolution,[],[f50,f103]) ).

fof(f130,plain,
    ! [X0] :
      ( subq(X0,X0)
      | subq(X0,X0) ),
    inference(resolution,[],[f51,f50]) ).

fof(f131,plain,
    ! [X2,X0,X1] :
      ( ~ mem(sK0(X0,u(X1,X2)),X1)
      | subq(X0,u(X1,X2)) ),
    inference(resolution,[],[f51,f58]) ).

fof(f132,plain,
    ! [X2,X0,X1] :
      ( ~ mem(sK0(X0,u(X1,X2)),X2)
      | subq(X0,u(X1,X2)) ),
    inference(resolution,[],[f51,f57]) ).

fof(f133,plain,
    ! [X0] : subq(X0,X0),
    inference(duplicate_literal_removal,[],[f130]) ).

fof(f134,plain,
    mem(sF7,sF9),
    inference(resolution,[],[f98,f104]) ).

fof(f135,plain,
    ! [X0] :
      ( mem(sK0(sF10,X0),sF9)
      | mem(sK0(sF10,X0),sF5)
      | subq(sF10,X0) ),
    inference(resolution,[],[f119,f50]) ).

fof(f138,plain,
    ! [X0] :
      ( ~ subq(X0,sF3)
      | mem(X0,sF4) ),
    inference(superposition,[],[f65,f81]) ).

fof(f139,plain,
    ! [X0] :
      ( ~ subq(X0,sF4)
      | mem(X0,sF5) ),
    inference(superposition,[],[f65,f83]) ).

fof(f141,plain,
    mem(sF2,sF7),
    inference(resolution,[],[f96,f111]) ).

fof(f144,plain,
    ! [X0] :
      ( mem(sK0(sF7,X0),sF6)
      | mem(sK0(sF7,X0),sF3)
      | subq(sF7,X0) ),
    inference(resolution,[],[f118,f50]) ).

fof(f147,plain,
    mem(e,sF2),
    inference(resolution,[],[f101,f95]) ).

fof(f151,plain,
    ! [X0] :
      ( subq(sF8,X0)
      | sF7 = sK0(sF8,X0) ),
    inference(resolution,[],[f109,f50]) ).

fof(f153,plain,
    mem(sF3,sF9),
    inference(resolution,[],[f114,f113]) ).

fof(f161,plain,
    ! [X0] :
      ( mem(sK0(sF2,X0),sF1)
      | subq(sF2,X0) ),
    inference(resolution,[],[f121,f50]) ).

fof(f178,plain,
    ! [X0] :
      ( ~ subq(sF2,X0)
      | mem(e,X0) ),
    inference(resolution,[],[f49,f147]) ).

fof(f179,plain,
    ! [X2,X0,X1] :
      ( mem(sK0(X0,X1),X2)
      | ~ subq(X0,X2)
      | subq(X0,X1) ),
    inference(resolution,[],[f49,f50]) ).

fof(f180,plain,
    ! [X0] :
      ( ~ subq(sF3,X0)
      | mem(sF2,X0) ),
    inference(resolution,[],[f49,f96]) ).

fof(f181,plain,
    ! [X0] :
      ( ~ subq(sF7,X0)
      | mem(sF2,X0) ),
    inference(resolution,[],[f49,f141]) ).

fof(f184,plain,
    ! [X0] :
      ( ~ subq(sF6,X0)
      | mem(sF3,X0) ),
    inference(resolution,[],[f49,f97]) ).

fof(f188,plain,
    ! [X0] :
      ( ~ subq(sF8,X0)
      | mem(sF7,X0) ),
    inference(resolution,[],[f49,f98]) ).

fof(f200,plain,
    mem(e,sF5),
    inference(resolution,[],[f139,f122]) ).

fof(f201,plain,
    mem(e,sF4),
    inference(resolution,[],[f138,f122]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( mem(sK0(sF10,X0),sF5)
      | mem(sK0(sF10,X0),X1)
      | subq(sF10,X0)
      | ~ subq(sF9,X1) ),
    inference(resolution,[],[f135,f49]) ).

fof(f208,definition,
    ( spl11_3
  <=> subq(sF10,sF9) ),
    introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).

fof(f209,plain,
    ( ~ subq(sF10,sF9)
    | spl11_3 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f210,plain,
    ( subq(sF10,sF9)
    | ~ spl11_3 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f256,plain,
    ! [X0] :
      ( ~ mem(sF3,X0)
      | subq(X0,sF4)
      | atleast2p(X0) ),
    inference(superposition,[],[f66,f81]) ).

fof(f280,plain,
    ( subq(sF7,sF4)
    | atleast2p(sF7) ),
    inference(resolution,[],[f256,f114]) ).

fof(f298,definition,
    ( spl11_17
  <=> atleast2p(sF7) ),
    introduced(definition,[new_symbols(definition,[spl11_17])],[avatar_definition]) ).

fof(f300,plain,
    ( atleast2p(sF7)
    | ~ spl11_17 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f302,definition,
    ( spl11_18
  <=> subq(sF7,sF4) ),
    introduced(definition,[new_symbols(definition,[spl11_18])],[avatar_definition]) ).

fof(f303,plain,
    ( ~ subq(sF7,sF4)
    | spl11_18 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f304,plain,
    ( subq(sF7,sF4)
    | ~ spl11_18 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f305,plain,
    ( spl11_17
    | spl11_18 ),
    inference(avatar_split_clause,[],[f280,f302,f298]) ).

fof(f307,definition,
    ( spl11_19
  <=> atleast2p(sF6) ),
    introduced(definition,[new_symbols(definition,[spl11_19])],[avatar_definition]) ).

fof(f308,plain,
    ( ~ atleast2p(sF6)
    | spl11_19 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f309,plain,
    ( atleast2p(sF6)
    | ~ spl11_19 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f322,definition,
    ( spl11_21
  <=> mem(sF7,sF5) ),
    introduced(definition,[new_symbols(definition,[spl11_21])],[avatar_definition]) ).

fof(f323,plain,
    ( mem(sF7,sF5)
    | ~ spl11_21 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f324,plain,
    ( ~ mem(sF7,sF5)
    | spl11_21 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f339,plain,
    mem(sF4,sF5),
    inference(resolution,[],[f133,f139]) ).

fof(f340,plain,
    mem(sF3,sF4),
    inference(resolution,[],[f133,f138]) ).

fof(f344,plain,
    mem(sF4,sF10),
    inference(resolution,[],[f339,f112]) ).

fof(f351,plain,
    ! [X0] :
      ( ~ subq(sF4,X0)
      | mem(sF3,X0) ),
    inference(resolution,[],[f340,f49]) ).

fof(f355,plain,
    ( sF9 = sF10
    | ~ subq(sF9,sF10)
    | ~ spl11_3 ),
    inference(resolution,[],[f210,f52]) ).

fof(f357,definition,
    ( spl11_24
  <=> subq(sF9,sF10) ),
    introduced(definition,[new_symbols(definition,[spl11_24])],[avatar_definition]) ).

fof(f358,plain,
    ( subq(sF9,sF10)
    | ~ spl11_24 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f359,plain,
    ( ~ subq(sF9,sF10)
    | spl11_24 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f361,definition,
    ( spl11_25
  <=> sF9 = sF10 ),
    introduced(definition,[new_symbols(definition,[spl11_25])],[avatar_definition]) ).

fof(f363,plain,
    ( sF9 = sF10
    | ~ spl11_25 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f364,plain,
    ( ~ spl11_24
    | spl11_25
    | ~ spl11_3 ),
    inference(avatar_split_clause,[],[f355,f208,f361,f357]) ).

fof(f379,definition,
    ( spl11_29
  <=> atleast4p(sF9) ),
    introduced(definition,[new_symbols(definition,[spl11_29])],[avatar_definition]) ).

fof(f380,plain,
    ( ~ atleast4p(sF9)
    | spl11_29 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f393,plain,
    ( subq(sF2,sF1)
    | subq(sF2,sF1) ),
    inference(resolution,[],[f161,f51]) ).

fof(f397,plain,
    subq(sF2,sF1),
    inference(duplicate_literal_removal,[],[f393]) ).

fof(f401,plain,
    ( sF1 = sF2
    | ~ subq(sF1,sF2) ),
    inference(resolution,[],[f397,f52]) ).

fof(f403,definition,
    ( spl11_32
  <=> subq(sF1,sF2) ),
    introduced(definition,[new_symbols(definition,[spl11_32])],[avatar_definition]) ).

fof(f405,plain,
    ( ~ subq(sF1,sF2)
    | spl11_32 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f407,definition,
    ( spl11_33
  <=> sF1 = sF2 ),
    introduced(definition,[new_symbols(definition,[spl11_33])],[avatar_definition]) ).

fof(f409,plain,
    ( sF1 = sF2
    | ~ spl11_33 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f410,plain,
    ( ~ spl11_32
    | spl11_33 ),
    inference(avatar_split_clause,[],[f401,f407,f403]) ).

fof(f436,definition,
    ( spl11_38
  <=> mem(sF2,sF4) ),
    introduced(definition,[new_symbols(definition,[spl11_38])],[avatar_definition]) ).

fof(f437,plain,
    ( ~ mem(sF2,sF4)
    | spl11_38 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f438,plain,
    ( mem(sF2,sF4)
    | ~ spl11_38 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f445,definition,
    ( spl11_40
  <=> mem(sF2,sF5) ),
    introduced(definition,[new_symbols(definition,[spl11_40])],[avatar_definition]) ).

fof(f446,plain,
    ( ~ mem(sF2,sF5)
    | spl11_40 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f447,plain,
    ( mem(sF2,sF5)
    | ~ spl11_40 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f453,plain,
    ( subq(sF2,sF4)
    | ~ spl11_40 ),
    inference(resolution,[],[f447,f100]) ).

fof(f470,plain,
    ( subq(sF2,sF3)
    | ~ spl11_38 ),
    inference(resolution,[],[f438,f99]) ).

fof(f472,plain,
    ( mem(e,sF3)
    | ~ spl11_38 ),
    inference(resolution,[],[f470,f178]) ).

fof(f486,plain,
    ( e = sF2
    | ~ spl11_38 ),
    inference(resolution,[],[f472,f107]) ).

fof(f489,plain,
    ( ! [X0] : ~ mem(X0,sF2)
    | ~ spl11_38 ),
    inference(superposition,[],[f53,f486]) ).

fof(f490,plain,
    ( sF1 = s(sF2)
    | ~ spl11_38 ),
    inference(superposition,[],[f75,f486]) ).

fof(f496,plain,
    ( sF1 = sF3
    | ~ spl11_38 ),
    inference(forward_demodulation,[],[f490,f79]) ).

fof(f505,plain,
    ( ! [X0] :
        ( ~ mem(X0,sF3)
        | mem(X0,sF2) )
    | ~ spl11_38 ),
    inference(superposition,[],[f101,f496]) ).

fof(f510,plain,
    ( ! [X0] : ~ mem(X0,sF3)
    | ~ spl11_38 ),
    inference(forward_subsumption_resolution,[],[f505,f489]) ).

fof(f512,plain,
    ( $false
    | ~ spl11_38 ),
    inference(resolution,[],[f510,f472]) ).

fof(f516,plain,
    ~ spl11_38,
    inference(avatar_contradiction_clause,[],[f512]) ).

fof(f531,definition,
    ( spl11_46
  <=> atleast2p(e) ),
    introduced(definition,[new_symbols(definition,[spl11_46])],[avatar_definition]) ).

fof(f532,plain,
    ( atleast2p(e)
    | ~ spl11_46 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f533,plain,
    ( ~ atleast2p(e)
    | spl11_46 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f541,plain,
    ! [X0,X1] :
      ( subq(X0,u(X1,X0))
      | subq(X0,u(X1,X0)) ),
    inference(resolution,[],[f132,f50]) ).

fof(f551,plain,
    ! [X0] :
      ( ~ mem(sK0(X0,sF10),sF9)
      | subq(X0,sF10) ),
    inference(superposition,[],[f132,f93]) ).

fof(f557,plain,
    ! [X0,X1] : subq(X0,u(X1,X0)),
    inference(duplicate_literal_removal,[],[f541]) ).

fof(f559,plain,
    ( subq(sF9,sF10)
    | subq(sF9,sF10) ),
    inference(resolution,[],[f551,f50]) ).

fof(f560,plain,
    subq(sF9,sF10),
    inference(duplicate_literal_removal,[],[f559]) ).

fof(f562,plain,
    ( $false
    | spl11_24 ),
    inference(forward_subsumption_resolution,[],[f560,f359]) ).

fof(f563,plain,
    spl11_24,
    inference(avatar_contradiction_clause,[],[f562]) ).

fof(f612,plain,
    ! [X0,X1] :
      ( mem(sK0(X0,X1),sF6)
      | subq(X0,X1)
      | ~ subq(X0,sF7)
      | mem(sK0(X0,X1),sF3) ),
    inference(resolution,[],[f179,f118]) ).

fof(f615,plain,
    ! [X0,X1] :
      ( mem(sK0(X0,X1),sF8)
      | subq(X0,X1)
      | ~ subq(X0,sF9)
      | mem(sK0(X0,X1),sF7) ),
    inference(resolution,[],[f179,f120]) ).

fof(f643,plain,
    ! [X0,X1] :
      ( subq(u(X0,X1),X1)
      | ~ atleast2p(X1)
      | atleast3p(u(X0,X1)) ),
    inference(resolution,[],[f557,f67]) ).

fof(f646,plain,
    ! [X0,X1] :
      ( ~ subq(u(X0,X1),X1)
      | u(X0,X1) = X1 ),
    inference(resolution,[],[f557,f52]) ).

fof(f651,plain,
    subq(sF1,sF2),
    inference(superposition,[],[f557,f77]) ).

fof(f652,plain,
    subq(sF6,sF7),
    inference(superposition,[],[f557,f87]) ).

fof(f654,plain,
    subq(sF8,sF9),
    inference(superposition,[],[f557,f91]) ).

fof(f655,plain,
    ( $false
    | spl11_32 ),
    inference(forward_subsumption_resolution,[],[f651,f405]) ).

fof(f656,plain,
    spl11_32,
    inference(avatar_contradiction_clause,[],[f655]) ).

fof(f657,plain,
    ( sF3 = s(sF1)
    | ~ spl11_33 ),
    inference(superposition,[],[f79,f409]) ).

fof(f658,plain,
    ( mem(sF1,sF3)
    | ~ spl11_33 ),
    inference(superposition,[],[f96,f409]) ).

fof(f669,plain,
    ( subq(sF1,sF4)
    | ~ spl11_33
    | ~ spl11_40 ),
    inference(superposition,[],[f453,f409]) ).

fof(f684,plain,
    ( atleast3p(sF7)
    | ~ atleast2p(sF6)
    | subq(sF7,sF6) ),
    inference(resolution,[],[f652,f67]) ).

fof(f687,plain,
    ( sF6 = sF7
    | ~ subq(sF7,sF6) ),
    inference(resolution,[],[f652,f52]) ).

fof(f689,definition,
    ( spl11_54
  <=> subq(sF7,sF6) ),
    introduced(definition,[new_symbols(definition,[spl11_54])],[avatar_definition]) ).

fof(f693,definition,
    ( spl11_55
  <=> sF6 = sF7 ),
    introduced(definition,[new_symbols(definition,[spl11_55])],[avatar_definition]) ).

fof(f695,plain,
    ( sF6 = sF7
    | ~ spl11_55 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f696,plain,
    ( ~ spl11_54
    | spl11_55 ),
    inference(avatar_split_clause,[],[f687,f693,f689]) ).

fof(f715,plain,
    ( atleast3p(sF7)
    | subq(sF7,sF6)
    | ~ spl11_19 ),
    inference(forward_subsumption_resolution,[],[f684,f309]) ).

fof(f717,definition,
    ( spl11_60
  <=> atleast3p(sF7) ),
    introduced(definition,[new_symbols(definition,[spl11_60])],[avatar_definition]) ).

fof(f718,plain,
    ( ~ atleast3p(sF7)
    | spl11_60 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f720,plain,
    ( spl11_54
    | spl11_60
    | ~ spl11_19 ),
    inference(avatar_split_clause,[],[f715,f307,f717,f689]) ).

fof(f768,definition,
    ( spl11_68
  <=> atleast3p(sF9) ),
    introduced(definition,[new_symbols(definition,[spl11_68])],[avatar_definition]) ).

fof(f769,plain,
    ( ~ atleast3p(sF9)
    | spl11_68 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f770,plain,
    ( atleast3p(sF9)
    | ~ spl11_68 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f809,plain,
    mem(e,sF10),
    inference(resolution,[],[f200,f112]) ).

fof(f816,plain,
    ( atleast5p(sF10)
    | ~ atleast4p(sF9)
    | subq(sF10,sF9)
    | ~ spl11_24 ),
    inference(resolution,[],[f358,f69]) ).

fof(f818,plain,
    ( ~ atleast4p(sF9)
    | subq(sF10,sF9)
    | ~ spl11_24 ),
    inference(forward_subsumption_resolution,[],[f816,f94]) ).

fof(f821,plain,
    ( ~ atleast4p(sF9)
    | spl11_3
    | ~ spl11_24 ),
    inference(forward_subsumption_resolution,[],[f818,f209]) ).

fof(f824,plain,
    ( ~ spl11_29
    | spl11_3
    | ~ spl11_24 ),
    inference(avatar_split_clause,[],[f821,f357,f208,f379]) ).

fof(f859,definition,
    ( spl11_75
  <=> subq(sF3,sF7) ),
    introduced(definition,[new_symbols(definition,[spl11_75])],[avatar_definition]) ).

fof(f860,plain,
    ( subq(sF3,sF7)
    | ~ spl11_75 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f863,definition,
    ( spl11_76
  <=> sF3 = sF7 ),
    introduced(definition,[new_symbols(definition,[spl11_76])],[avatar_definition]) ).

fof(f864,plain,
    ( sF3 != sF7
    | spl11_76 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f865,plain,
    ( sF3 = sF7
    | ~ spl11_76 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f901,plain,
    ( mem(e,sF9)
    | ~ spl11_25 ),
    inference(superposition,[],[f809,f363]) ).

fof(f909,plain,
    ( mem(e,sF8)
    | mem(e,sF7)
    | ~ spl11_25 ),
    inference(resolution,[],[f901,f120]) ).

fof(f913,definition,
    ( spl11_80
  <=> mem(e,sF7) ),
    introduced(definition,[new_symbols(definition,[spl11_80])],[avatar_definition]) ).

fof(f915,plain,
    ( mem(e,sF7)
    | ~ spl11_80 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f917,definition,
    ( spl11_81
  <=> mem(e,sF8) ),
    introduced(definition,[new_symbols(definition,[spl11_81])],[avatar_definition]) ).

fof(f919,plain,
    ( mem(e,sF8)
    | ~ spl11_81 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f920,plain,
    ( spl11_80
    | spl11_81
    | ~ spl11_25 ),
    inference(avatar_split_clause,[],[f909,f361,f917,f913]) ).

fof(f921,plain,
    ! [X0,X1] :
      ( subq(X0,u(X0,X1))
      | subq(X0,u(X0,X1)) ),
    inference(resolution,[],[f131,f50]) ).

fof(f939,plain,
    ! [X0,X1] : subq(X0,u(X0,X1)),
    inference(duplicate_literal_removal,[],[f921]) ).

fof(f958,plain,
    subq(sF3,sF7),
    inference(superposition,[],[f939,f87]) ).

fof(f960,plain,
    subq(sF7,sF9),
    inference(superposition,[],[f939,f91]) ).

fof(f961,plain,
    spl11_75,
    inference(avatar_split_clause,[],[f958,f859]) ).

fof(f966,plain,
    ( atleast3p(sF9)
    | ~ atleast2p(sF7)
    | subq(sF9,sF7) ),
    inference(resolution,[],[f960,f67]) ).

fof(f967,plain,
    ( atleast4p(sF9)
    | ~ atleast3p(sF7)
    | subq(sF9,sF7) ),
    inference(resolution,[],[f960,f68]) ).

fof(f969,plain,
    ( sF7 = sF9
    | ~ subq(sF9,sF7) ),
    inference(resolution,[],[f960,f52]) ).

fof(f971,definition,
    ( spl11_82
  <=> subq(sF9,sF7) ),
    introduced(definition,[new_symbols(definition,[spl11_82])],[avatar_definition]) ).

fof(f975,definition,
    ( spl11_83
  <=> sF7 = sF9 ),
    introduced(definition,[new_symbols(definition,[spl11_83])],[avatar_definition]) ).

fof(f977,plain,
    ( sF7 = sF9
    | ~ spl11_83 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f978,plain,
    ( ~ spl11_82
    | spl11_83 ),
    inference(avatar_split_clause,[],[f969,f975,f971]) ).

fof(f980,plain,
    ( ~ atleast3p(sF7)
    | subq(sF9,sF7)
    | spl11_29 ),
    inference(forward_subsumption_resolution,[],[f967,f380]) ).

fof(f981,plain,
    ( ~ atleast2p(sF7)
    | subq(sF9,sF7)
    | spl11_68 ),
    inference(forward_subsumption_resolution,[],[f966,f769]) ).

fof(f983,plain,
    ( spl11_82
    | ~ spl11_60
    | spl11_29 ),
    inference(avatar_split_clause,[],[f980,f379,f717,f971]) ).

fof(f984,plain,
    ( subq(sF9,sF7)
    | ~ spl11_17
    | spl11_68 ),
    inference(forward_subsumption_resolution,[],[f981,f300]) ).

fof(f985,plain,
    ( spl11_82
    | ~ spl11_17
    | spl11_68 ),
    inference(avatar_split_clause,[],[f984,f768,f298,f971]) ).

fof(f1112,definition,
    ( spl11_92
  <=> sF1 = sF3 ),
    introduced(definition,[new_symbols(definition,[spl11_92])],[avatar_definition]) ).

fof(f1113,plain,
    ( sF1 != sF3
    | spl11_92 ),
    inference(avatar_component_clause,[],[f1112]) ).

fof(f1114,plain,
    ( sF1 = sF3
    | ~ spl11_92 ),
    inference(avatar_component_clause,[],[f1112]) ).

fof(f1161,plain,
    ( mem(e,sF6)
    | mem(e,sF3)
    | ~ spl11_80 ),
    inference(resolution,[],[f915,f118]) ).

fof(f1191,definition,
    ( spl11_96
  <=> e = sF7 ),
    introduced(definition,[new_symbols(definition,[spl11_96])],[avatar_definition]) ).

fof(f1192,plain,
    ( e != sF7
    | spl11_96 ),
    inference(avatar_component_clause,[],[f1191]) ).

fof(f1193,plain,
    ( e = sF7
    | ~ spl11_96 ),
    inference(avatar_component_clause,[],[f1191]) ).

fof(f1203,definition,
    ( spl11_98
  <=> e = sF3 ),
    introduced(definition,[new_symbols(definition,[spl11_98])],[avatar_definition]) ).

fof(f1204,plain,
    ( e != sF3
    | spl11_98 ),
    inference(avatar_component_clause,[],[f1203]) ).

fof(f1205,plain,
    ( e = sF3
    | ~ spl11_98 ),
    inference(avatar_component_clause,[],[f1203]) ).

fof(f1219,definition,
    ( spl11_100
  <=> mem(sF7,sF6) ),
    introduced(definition,[new_symbols(definition,[spl11_100])],[avatar_definition]) ).

fof(f1220,plain,
    ( ~ mem(sF7,sF6)
    | spl11_100 ),
    inference(avatar_component_clause,[],[f1219]) ).

fof(f1221,plain,
    ( mem(sF7,sF6)
    | ~ spl11_100 ),
    inference(avatar_component_clause,[],[f1219]) ).

fof(f1223,definition,
    ( spl11_101
  <=> mem(sF7,sF3) ),
    introduced(definition,[new_symbols(definition,[spl11_101])],[avatar_definition]) ).

fof(f1224,plain,
    ( ~ mem(sF7,sF3)
    | spl11_101 ),
    inference(avatar_component_clause,[],[f1223]) ).

fof(f1225,plain,
    ( mem(sF7,sF3)
    | ~ spl11_101 ),
    inference(avatar_component_clause,[],[f1223]) ).

fof(f1239,definition,
    ( spl11_104
  <=> mem(e,sF3) ),
    introduced(definition,[new_symbols(definition,[spl11_104])],[avatar_definition]) ).

fof(f1240,plain,
    ( ~ mem(e,sF3)
    | spl11_104 ),
    inference(avatar_component_clause,[],[f1239]) ).

fof(f1241,plain,
    ( mem(e,sF3)
    | ~ spl11_104 ),
    inference(avatar_component_clause,[],[f1239]) ).

fof(f1243,definition,
    ( spl11_105
  <=> mem(e,sF6) ),
    introduced(definition,[new_symbols(definition,[spl11_105])],[avatar_definition]) ).

fof(f1244,plain,
    ( ~ mem(e,sF6)
    | spl11_105 ),
    inference(avatar_component_clause,[],[f1243]) ).

fof(f1245,plain,
    ( mem(e,sF6)
    | ~ spl11_105 ),
    inference(avatar_component_clause,[],[f1243]) ).

fof(f1246,plain,
    ( spl11_104
    | spl11_105
    | ~ spl11_80 ),
    inference(avatar_split_clause,[],[f1161,f913,f1243,f1239]) ).

fof(f1287,plain,
    ( ! [X0] : ~ mem(X0,sF3)
    | ~ spl11_98 ),
    inference(superposition,[],[f53,f1205]) ).

fof(f1288,plain,
    ( sF1 = s(sF3)
    | ~ spl11_98 ),
    inference(superposition,[],[f75,f1205]) ).

fof(f1289,plain,
    ( sF2 = u(sF3,sF1)
    | ~ spl11_98 ),
    inference(superposition,[],[f77,f1205]) ).

fof(f1299,plain,
    ( sF1 = u(sF3,sF1)
    | ~ spl11_33
    | ~ spl11_98 ),
    inference(forward_demodulation,[],[f1289,f409]) ).

fof(f1300,plain,
    ( sF1 = sF6
    | ~ spl11_98 ),
    inference(forward_demodulation,[],[f1288,f85]) ).

fof(f1301,plain,
    ( sF7 = u(sF3,sF1)
    | ~ spl11_98 ),
    inference(superposition,[],[f87,f1300]) ).

fof(f1309,plain,
    ( sF1 = sF7
    | ~ spl11_33
    | ~ spl11_98 ),
    inference(forward_demodulation,[],[f1301,f1299]) ).

fof(f1320,plain,
    ( mem(sF7,sF3)
    | ~ spl11_33
    | ~ spl11_98 ),
    inference(superposition,[],[f658,f1309]) ).

fof(f1324,plain,
    ( $false
    | ~ spl11_33
    | ~ spl11_98 ),
    inference(forward_subsumption_resolution,[],[f1320,f1287]) ).

fof(f1325,plain,
    ( ~ spl11_33
    | ~ spl11_98 ),
    inference(avatar_contradiction_clause,[],[f1324]) ).

fof(f1345,plain,
    ( e = sF2
    | ~ spl11_104 ),
    inference(resolution,[],[f1241,f107]) ).

fof(f1348,plain,
    ( e = sF1
    | ~ spl11_33
    | ~ spl11_104 ),
    inference(forward_demodulation,[],[f1345,f409]) ).

fof(f1353,plain,
    ( ! [X0] : ~ mem(X0,sF1)
    | ~ spl11_33
    | ~ spl11_104 ),
    inference(superposition,[],[f53,f1348]) ).

fof(f1354,plain,
    ( sF1 = s(sF1)
    | ~ spl11_33
    | ~ spl11_104 ),
    inference(superposition,[],[f75,f1348]) ).

fof(f1371,plain,
    ( sF1 = sF3
    | ~ spl11_33
    | ~ spl11_104 ),
    inference(forward_demodulation,[],[f1354,f657]) ).

fof(f1372,plain,
    ( spl11_92
    | ~ spl11_33
    | ~ spl11_104 ),
    inference(avatar_split_clause,[],[f1371,f1239,f407,f1112]) ).

fof(f1375,plain,
    ( mem(e,sF3)
    | ~ spl11_92 ),
    inference(superposition,[],[f95,f1114]) ).

fof(f1376,plain,
    ( ! [X0] :
        ( ~ mem(X0,sF3)
        | mem(X0,sF2) )
    | ~ spl11_92 ),
    inference(superposition,[],[f101,f1114]) ).

fof(f1393,plain,
    ( ! [X0] :
        ( mem(X0,sF1)
        | ~ mem(X0,sF3) )
    | ~ spl11_33
    | ~ spl11_92 ),
    inference(forward_demodulation,[],[f1376,f409]) ).

fof(f1398,plain,
    ( ! [X0] : ~ mem(X0,sF3)
    | ~ spl11_33
    | ~ spl11_92
    | ~ spl11_104 ),
    inference(forward_subsumption_resolution,[],[f1393,f1353]) ).

fof(f1413,plain,
    ( $false
    | ~ spl11_33
    | ~ spl11_92
    | ~ spl11_104 ),
    inference(resolution,[],[f1398,f1241]) ).

fof(f1421,plain,
    ( ~ spl11_33
    | ~ spl11_92
    | ~ spl11_104 ),
    inference(avatar_contradiction_clause,[],[f1413]) ).

fof(f1423,plain,
    ( $false
    | ~ spl11_92
    | spl11_104 ),
    inference(forward_subsumption_resolution,[],[f1375,f1240]) ).

fof(f1424,plain,
    ( ~ spl11_92
    | spl11_104 ),
    inference(avatar_contradiction_clause,[],[f1423]) ).

fof(f1444,plain,
    ( e = sF7
    | ~ spl11_81 ),
    inference(resolution,[],[f919,f109]) ).

fof(f1470,plain,
    ( mem(sF7,sF5)
    | ~ spl11_96 ),
    inference(superposition,[],[f200,f1193]) ).

fof(f1479,plain,
    ( $false
    | spl11_21
    | ~ spl11_96 ),
    inference(forward_subsumption_resolution,[],[f1470,f324]) ).

fof(f1480,plain,
    ( spl11_21
    | ~ spl11_96 ),
    inference(avatar_contradiction_clause,[],[f1479]) ).

fof(f1492,plain,
    ( e = sF3
    | ~ spl11_105 ),
    inference(resolution,[],[f1245,f108]) ).

fof(f1495,plain,
    ( $false
    | spl11_98
    | ~ spl11_105 ),
    inference(forward_subsumption_resolution,[],[f1492,f1204]) ).

fof(f1496,plain,
    ( spl11_98
    | ~ spl11_105 ),
    inference(avatar_contradiction_clause,[],[f1495]) ).

fof(f1497,plain,
    ( spl11_96
    | ~ spl11_81 ),
    inference(avatar_split_clause,[],[f1444,f917,f1191]) ).

fof(f1523,plain,
    ( subq(sF7,sF4)
    | ~ spl11_21 ),
    inference(resolution,[],[f323,f100]) ).

fof(f1665,plain,
    ( $false
    | spl11_18
    | ~ spl11_21 ),
    inference(forward_subsumption_resolution,[],[f1523,f303]) ).

fof(f1666,plain,
    ( spl11_18
    | ~ spl11_21 ),
    inference(avatar_contradiction_clause,[],[f1665]) ).

fof(f1676,plain,
    ( s(sF3) = sF8
    | ~ spl11_76 ),
    inference(superposition,[],[f89,f865]) ).

fof(f1696,plain,
    ( sF6 = sF8
    | ~ spl11_76 ),
    inference(forward_demodulation,[],[f1676,f85]) ).

fof(f1706,plain,
    ( sF9 = u(sF7,sF6)
    | ~ spl11_76 ),
    inference(superposition,[],[f91,f1696]) ).

fof(f1722,plain,
    ( u(sF3,sF6) = sF9
    | ~ spl11_76 ),
    inference(forward_demodulation,[],[f1706,f865]) ).

fof(f1724,plain,
    ( sF7 = sF9
    | ~ spl11_76 ),
    inference(forward_demodulation,[],[f1722,f87]) ).

fof(f1726,plain,
    ( sF3 = sF9
    | ~ spl11_76 ),
    inference(forward_demodulation,[],[f1724,f865]) ).

fof(f1740,plain,
    ( mem(sF7,sF3)
    | ~ spl11_76 ),
    inference(superposition,[],[f134,f1726]) ).

fof(f1762,plain,
    ( $false
    | ~ spl11_76
    | spl11_101 ),
    inference(forward_subsumption_resolution,[],[f1740,f1224]) ).

fof(f1763,plain,
    ( ~ spl11_76
    | spl11_101 ),
    inference(avatar_contradiction_clause,[],[f1762]) ).

fof(f1798,plain,
    ( mem(sF2,sF4)
    | ~ spl11_18 ),
    inference(resolution,[],[f304,f181]) ).

fof(f1809,definition,
    ( spl11_116
  <=> sF4 = sF7 ),
    introduced(definition,[new_symbols(definition,[spl11_116])],[avatar_definition]) ).

fof(f1810,plain,
    ( sF4 != sF7
    | spl11_116 ),
    inference(avatar_component_clause,[],[f1809]) ).

fof(f1811,plain,
    ( sF4 = sF7
    | ~ spl11_116 ),
    inference(avatar_component_clause,[],[f1809]) ).

fof(f1813,plain,
    ( $false
    | ~ spl11_18
    | spl11_38 ),
    inference(forward_subsumption_resolution,[],[f1798,f437]) ).

fof(f1814,plain,
    ( ~ spl11_18
    | spl11_38 ),
    inference(avatar_contradiction_clause,[],[f1813]) ).

fof(f1847,plain,
    ( sF3 = sF7
    | ~ spl11_100 ),
    inference(resolution,[],[f1221,f108]) ).

fof(f1850,plain,
    ( $false
    | spl11_76
    | ~ spl11_100 ),
    inference(forward_subsumption_resolution,[],[f1847,f864]) ).

fof(f1851,plain,
    ( spl11_76
    | ~ spl11_100 ),
    inference(avatar_contradiction_clause,[],[f1850]) ).

fof(f1854,plain,
    ! [X0] :
      ( mem(sF3,p(X0))
      | ~ mem(X0,sF6)
      | atleast2p(sF6) ),
    inference(resolution,[],[f184,f66]) ).

fof(f1858,plain,
    ( ! [X0] :
        ( mem(sF3,p(X0))
        | ~ mem(X0,sF6) )
    | spl11_19 ),
    inference(forward_subsumption_resolution,[],[f1854,f308]) ).

fof(f1863,plain,
    ( mem(sF3,sF5)
    | ~ mem(sF4,sF6)
    | spl11_19 ),
    inference(superposition,[],[f1858,f83]) ).

fof(f1865,definition,
    ( spl11_119
  <=> mem(sF4,sF6) ),
    introduced(definition,[new_symbols(definition,[spl11_119])],[avatar_definition]) ).

fof(f1867,plain,
    ( ~ mem(sF4,sF6)
    | spl11_119 ),
    inference(avatar_component_clause,[],[f1865]) ).

fof(f1869,definition,
    ( spl11_120
  <=> mem(sF3,sF5) ),
    introduced(definition,[new_symbols(definition,[spl11_120])],[avatar_definition]) ).

fof(f1871,plain,
    ( mem(sF3,sF5)
    | ~ spl11_120 ),
    inference(avatar_component_clause,[],[f1869]) ).

fof(f1872,plain,
    ( ~ spl11_119
    | spl11_120
    | spl11_19 ),
    inference(avatar_split_clause,[],[f1863,f307,f1869,f1865]) ).

fof(f1886,plain,
    ( sF2 = sF7
    | ~ spl11_101 ),
    inference(resolution,[],[f1225,f107]) ).

fof(f1889,plain,
    ( sF1 = sF7
    | ~ spl11_33
    | ~ spl11_101 ),
    inference(forward_demodulation,[],[f1886,f409]) ).

fof(f1954,plain,
    ( subq(sF7,sF4)
    | ~ spl11_33
    | ~ spl11_40
    | ~ spl11_101 ),
    inference(superposition,[],[f669,f1889]) ).

fof(f1956,plain,
    ( $false
    | spl11_18
    | ~ spl11_33
    | ~ spl11_40
    | ~ spl11_101 ),
    inference(forward_subsumption_resolution,[],[f1954,f303]) ).

fof(f1957,plain,
    ( spl11_18
    | ~ spl11_33
    | ~ spl11_40
    | ~ spl11_101 ),
    inference(avatar_contradiction_clause,[],[f1956]) ).

fof(f1977,definition,
    ( spl11_122
  <=> sF1 = sF4 ),
    introduced(definition,[new_symbols(definition,[spl11_122])],[avatar_definition]) ).

fof(f1979,plain,
    ( sF1 = sF4
    | ~ spl11_122 ),
    inference(avatar_component_clause,[],[f1977]) ).

fof(f2149,plain,
    ( sF7 = sK0(sF8,sF3)
    | mem(sF8,sF4) ),
    inference(resolution,[],[f151,f138]) ).

fof(f2151,definition,
    ( spl11_128
  <=> mem(sF8,sF4) ),
    introduced(definition,[new_symbols(definition,[spl11_128])],[avatar_definition]) ).

fof(f2153,plain,
    ( mem(sF8,sF4)
    | ~ spl11_128 ),
    inference(avatar_component_clause,[],[f2151]) ).

fof(f2155,definition,
    ( spl11_129
  <=> sF7 = sK0(sF8,sF3) ),
    introduced(definition,[new_symbols(definition,[spl11_129])],[avatar_definition]) ).

fof(f2157,plain,
    ( sF7 = sK0(sF8,sF3)
    | ~ spl11_129 ),
    inference(avatar_component_clause,[],[f2155]) ).

fof(f2158,plain,
    ( spl11_128
    | spl11_129 ),
    inference(avatar_split_clause,[],[f2149,f2155,f2151]) ).

fof(f2188,plain,
    ( subq(sF8,sF3)
    | ~ spl11_128 ),
    inference(resolution,[],[f2153,f99]) ).

fof(f2190,plain,
    ( mem(sF7,sF3)
    | ~ spl11_128 ),
    inference(resolution,[],[f2188,f188]) ).

fof(f2205,plain,
    ( $false
    | spl11_101
    | ~ spl11_128 ),
    inference(forward_subsumption_resolution,[],[f2190,f1224]) ).

fof(f2206,plain,
    ( spl11_101
    | ~ spl11_128 ),
    inference(avatar_contradiction_clause,[],[f2205]) ).

fof(f2344,plain,
    ! [X0,X1] :
      ( mem(sK0(sF5,X0),X1)
      | subq(sF5,X0)
      | ~ subq(sF10,X1) ),
    inference(resolution,[],[f126,f49]) ).

fof(f2502,plain,
    ! [X0] :
      ( mem(sF3,p(X0))
      | ~ mem(X0,sF4)
      | atleast2p(sF4) ),
    inference(resolution,[],[f351,f66]) ).

fof(f2508,definition,
    ( spl11_143
  <=> atleast2p(sF4) ),
    introduced(definition,[new_symbols(definition,[spl11_143])],[avatar_definition]) ).

fof(f2510,plain,
    ( atleast2p(sF4)
    | ~ spl11_143 ),
    inference(avatar_component_clause,[],[f2508]) ).

fof(f2512,definition,
    ( spl11_144
  <=> ! [X0] :
        ( mem(sF3,p(X0))
        | ~ mem(X0,sF4) ) ),
    introduced(definition,[new_symbols(definition,[spl11_144])],[avatar_definition]) ).

fof(f2513,plain,
    ( ! [X0] :
        ( mem(sF3,p(X0))
        | ~ mem(X0,sF4) )
    | ~ spl11_144 ),
    inference(avatar_component_clause,[],[f2512]) ).

fof(f2514,plain,
    ( spl11_143
    | spl11_144 ),
    inference(avatar_split_clause,[],[f2502,f2512,f2508]) ).

fof(f2573,plain,
    ! [X0] :
      ( mem(sK0(sF10,X0),sF5)
      | subq(sF10,X0)
      | ~ subq(sF9,X0)
      | subq(sF10,X0) ),
    inference(resolution,[],[f205,f51]) ).

fof(f2597,plain,
    ! [X0] :
      ( mem(sK0(sF10,X0),sF5)
      | subq(sF10,X0)
      | ~ subq(sF9,X0) ),
    inference(duplicate_literal_removal,[],[f2573]) ).

fof(f2622,plain,
    ! [X0,X1] :
      ( mem(sK0(sF10,X0),X1)
      | ~ subq(sF9,X0)
      | subq(sF10,X0)
      | ~ subq(sF5,X1) ),
    inference(resolution,[],[f2597,f49]) ).

fof(f2631,plain,
    ( ! [X0] :
        ( ~ mem(X0,sF3)
        | sF1 = X0 )
    | ~ spl11_33 ),
    inference(superposition,[],[f54,f657]) ).

fof(f2885,plain,
    ! [X0,X1] :
      ( mem(sK0(X0,X1),sF7)
      | ~ subq(X0,sF9)
      | subq(X0,X1)
      | sK0(X0,X1) = sF7 ),
    inference(resolution,[],[f615,f109]) ).

fof(f2912,plain,
    ! [X0,X1] :
      ( mem(sK0(X0,X1),sF6)
      | subq(X0,X1)
      | sK0(X0,X1) = sF7
      | ~ subq(X0,sF9)
      | mem(sK0(X0,X1),sF3) ),
    inference(resolution,[],[f2885,f118]) ).

fof(f2979,plain,
    ( mem(sF7,sF6)
    | subq(sF8,sF3)
    | ~ subq(sF8,sF7)
    | mem(sF7,sF3)
    | ~ spl11_129 ),
    inference(superposition,[],[f612,f2157]) ).

fof(f2986,plain,
    ( mem(sF7,sF6)
    | ~ subq(sF8,sF7)
    | mem(sF7,sF3)
    | ~ spl11_129 ),
    inference(forward_subsumption_resolution,[],[f2979,f188]) ).

fof(f2991,plain,
    ( ~ subq(sF8,sF7)
    | mem(sF7,sF3)
    | spl11_100
    | ~ spl11_129 ),
    inference(forward_subsumption_resolution,[],[f2986,f1220]) ).

fof(f2996,definition,
    ( spl11_169
  <=> subq(sF8,sF7) ),
    introduced(definition,[new_symbols(definition,[spl11_169])],[avatar_definition]) ).

fof(f2998,plain,
    ( ~ subq(sF8,sF7)
    | spl11_169 ),
    inference(avatar_component_clause,[],[f2996]) ).

fof(f3000,plain,
    ( ~ subq(sF8,sF7)
    | spl11_100
    | spl11_101
    | ~ spl11_129 ),
    inference(forward_subsumption_resolution,[],[f2991,f1224]) ).

fof(f3008,plain,
    ( ~ spl11_169
    | spl11_100
    | spl11_101
    | ~ spl11_129 ),
    inference(avatar_split_clause,[],[f3000,f2155,f1223,f1219,f2996]) ).

fof(f3156,plain,
    ! [X2,X0,X1] :
      ( ~ mem(sK0(X0,m(X1,X2)),X1)
      | mem(sK0(X0,m(X1,X2)),X2)
      | subq(X0,m(X1,X2)) ),
    inference(resolution,[],[f61,f51]) ).

fof(f3188,plain,
    ! [X0] :
      ( mem(sK0(sF9,m(sF10,X0)),X0)
      | subq(sF9,m(sF10,X0))
      | subq(sF9,m(sF10,X0)) ),
    inference(resolution,[],[f3156,f129]) ).

fof(f3194,plain,
    ! [X0] :
      ( mem(sK0(sF9,m(sF10,X0)),X0)
      | subq(sF9,m(sF10,X0)) ),
    inference(duplicate_literal_removal,[],[f3188]) ).

fof(f3329,plain,
    ! [X0,X1] :
      ( mem(sK0(u(X0,X1),X1),X0)
      | subq(u(X0,X1),X1)
      | subq(u(X0,X1),X1) ),
    inference(resolution,[],[f124,f51]) ).

fof(f3360,plain,
    ! [X0,X1] :
      ( mem(sK0(u(X0,X1),X0),X1)
      | subq(u(X0,X1),X0)
      | subq(u(X0,X1),X0) ),
    inference(resolution,[],[f124,f51]) ).

fof(f3405,plain,
    ! [X0,X1] :
      ( mem(sK0(u(X0,X1),X0),X1)
      | subq(u(X0,X1),X0) ),
    inference(duplicate_literal_removal,[],[f3360]) ).

fof(f3411,plain,
    ! [X0,X1] :
      ( mem(sK0(u(X0,X1),X1),X0)
      | subq(u(X0,X1),X1) ),
    inference(duplicate_literal_removal,[],[f3329]) ).

fof(f3429,plain,
    ! [X0] : subq(u(X0,e),X0),
    inference(resolution,[],[f3405,f53]) ).

fof(f3556,plain,
    ! [X0,X1] :
      ( subq(u(s(X0),X1),X1)
      | sK0(u(s(X0),X1),X1) = X0 ),
    inference(resolution,[],[f3411,f54]) ).

fof(f3905,definition,
    ( spl11_184
  <=> subq(sF3,sF4) ),
    introduced(definition,[new_symbols(definition,[spl11_184])],[avatar_definition]) ).

fof(f3906,plain,
    ( ~ subq(sF3,sF4)
    | spl11_184 ),
    inference(avatar_component_clause,[],[f3905]) ).

fof(f3907,plain,
    ( subq(sF3,sF4)
    | ~ spl11_184 ),
    inference(avatar_component_clause,[],[f3905]) ).

fof(f4720,plain,
    ( subq(sF8,sF7)
    | ~ spl11_83 ),
    inference(superposition,[],[f654,f977]) ).

fof(f4745,plain,
    ( $false
    | ~ spl11_83
    | spl11_169 ),
    inference(forward_subsumption_resolution,[],[f4720,f2998]) ).

fof(f4746,plain,
    ( ~ spl11_83
    | spl11_169 ),
    inference(avatar_contradiction_clause,[],[f4745]) ).

fof(f4763,plain,
    ( ! [X0] :
        ( ~ mem(X0,sF7)
        | sF3 = X0 )
    | ~ spl11_55 ),
    inference(superposition,[],[f108,f695]) ).

fof(f4912,plain,
    ( sF2 = sF3
    | ~ spl11_55 ),
    inference(resolution,[],[f4763,f141]) ).

fof(f4916,plain,
    ( sF1 = sF3
    | ~ spl11_33
    | ~ spl11_55 ),
    inference(forward_demodulation,[],[f4912,f409]) ).

fof(f4920,plain,
    ( $false
    | ~ spl11_33
    | ~ spl11_55
    | spl11_92 ),
    inference(forward_subsumption_resolution,[],[f4916,f1113]) ).

fof(f4921,plain,
    ( ~ spl11_33
    | ~ spl11_55
    | spl11_92 ),
    inference(avatar_contradiction_clause,[],[f4920]) ).

fof(f5263,plain,
    ! [X0] :
      ( ~ subq(sF9,X0)
      | subq(sF10,X0)
      | ~ subq(sF5,X0)
      | subq(sF10,X0) ),
    inference(resolution,[],[f2622,f51]) ).

fof(f5312,plain,
    ! [X0] :
      ( ~ subq(sF9,X0)
      | subq(sF10,X0)
      | ~ subq(sF5,X0) ),
    inference(duplicate_literal_removal,[],[f5263]) ).

fof(f5622,plain,
    ! [X0,X1] :
      ( mem(sK0(sF7,X0),sF3)
      | mem(sK0(sF7,X0),X1)
      | subq(sF7,X0)
      | ~ subq(sF6,X1) ),
    inference(resolution,[],[f144,f49]) ).

fof(f5653,plain,
    ! [X2,X0,X1] :
      ( mem(sK0(m(X0,X1),X2),X0)
      | subq(m(X0,X1),X2) ),
    inference(resolution,[],[f60,f50]) ).

fof(f7617,plain,
    ! [X0] :
      ( u(X0,e) = X0
      | ~ subq(X0,u(X0,e)) ),
    inference(resolution,[],[f3429,f52]) ).

fof(f7626,plain,
    mem(u(sF3,e),sF4),
    inference(resolution,[],[f3429,f138]) ).

fof(f7704,plain,
    ! [X0] : u(X0,e) = X0,
    inference(forward_subsumption_resolution,[],[f7617,f939]) ).

fof(f9145,plain,
    ( subq(sF9,m(sF10,sF1))
    | e = sK0(sF9,m(sF10,sF1)) ),
    inference(resolution,[],[f3194,f106]) ).

fof(f9268,definition,
    ( spl11_304
  <=> e = sK0(sF9,m(sF10,sF1)) ),
    introduced(definition,[new_symbols(definition,[spl11_304])],[avatar_definition]) ).

fof(f9270,plain,
    ( e = sK0(sF9,m(sF10,sF1))
    | ~ spl11_304 ),
    inference(avatar_component_clause,[],[f9268]) ).

fof(f9272,definition,
    ( spl11_305
  <=> subq(sF9,m(sF10,sF1)) ),
    introduced(definition,[new_symbols(definition,[spl11_305])],[avatar_definition]) ).

fof(f9274,plain,
    ( subq(sF9,m(sF10,sF1))
    | ~ spl11_305 ),
    inference(avatar_component_clause,[],[f9272]) ).

fof(f9275,plain,
    ( spl11_304
    | spl11_305 ),
    inference(avatar_split_clause,[],[f9145,f9272,f9268]) ).

fof(f9517,plain,
    ( mem(e,sF6)
    | subq(sF9,m(sF10,sF1))
    | e = sF7
    | ~ subq(sF9,sF9)
    | mem(e,sF3)
    | ~ spl11_304 ),
    inference(superposition,[],[f2912,f9270]) ).

fof(f9525,plain,
    ( subq(sF9,m(sF10,sF1))
    | e = sF7
    | ~ subq(sF9,sF9)
    | mem(e,sF3)
    | spl11_105
    | ~ spl11_304 ),
    inference(forward_subsumption_resolution,[],[f9517,f1244]) ).

fof(f9541,plain,
    ( subq(sF9,m(sF10,sF1))
    | ~ subq(sF9,sF9)
    | mem(e,sF3)
    | spl11_96
    | spl11_105
    | ~ spl11_304 ),
    inference(forward_subsumption_resolution,[],[f9525,f1192]) ).

fof(f9548,plain,
    ( subq(sF9,m(sF10,sF1))
    | mem(e,sF3)
    | spl11_96
    | spl11_105
    | ~ spl11_304 ),
    inference(forward_subsumption_resolution,[],[f9541,f133]) ).

fof(f9554,plain,
    ( subq(sF9,m(sF10,sF1))
    | spl11_96
    | spl11_104
    | spl11_105
    | ~ spl11_304 ),
    inference(forward_subsumption_resolution,[],[f9548,f1240]) ).

fof(f9556,plain,
    ( spl11_305
    | spl11_96
    | spl11_104
    | spl11_105
    | ~ spl11_304 ),
    inference(avatar_split_clause,[],[f9554,f9268,f1243,f1239,f1191,f9272]) ).

fof(f9557,plain,
    ( subq(sF10,m(sF10,sF1))
    | ~ subq(sF5,m(sF10,sF1))
    | ~ spl11_305 ),
    inference(resolution,[],[f9274,f5312]) ).

fof(f9564,plain,
    ( atleast4p(m(sF10,sF1))
    | ~ atleast3p(sF9)
    | subq(m(sF10,sF1),sF9)
    | ~ spl11_305 ),
    inference(resolution,[],[f9274,f68]) ).

fof(f9566,plain,
    ( sF9 = m(sF10,sF1)
    | ~ subq(m(sF10,sF1),sF9)
    | ~ spl11_305 ),
    inference(resolution,[],[f9274,f52]) ).

fof(f9568,definition,
    ( spl11_327
  <=> subq(m(sF10,sF1),sF9) ),
    introduced(definition,[new_symbols(definition,[spl11_327])],[avatar_definition]) ).

fof(f9572,definition,
    ( spl11_328
  <=> sF9 = m(sF10,sF1) ),
    introduced(definition,[new_symbols(definition,[spl11_328])],[avatar_definition]) ).

fof(f9574,plain,
    ( sF9 = m(sF10,sF1)
    | ~ spl11_328 ),
    inference(avatar_component_clause,[],[f9572]) ).

fof(f9575,plain,
    ( ~ spl11_327
    | spl11_328
    | ~ spl11_305 ),
    inference(avatar_split_clause,[],[f9566,f9272,f9572,f9568]) ).

fof(f9576,plain,
    ( atleast4p(m(sF10,sF1))
    | subq(m(sF10,sF1),sF9)
    | ~ spl11_68
    | ~ spl11_305 ),
    inference(forward_subsumption_resolution,[],[f9564,f770]) ).

fof(f9580,definition,
    ( spl11_329
  <=> subq(sF5,m(sF10,sF1)) ),
    introduced(definition,[new_symbols(definition,[spl11_329])],[avatar_definition]) ).

fof(f9582,plain,
    ( ~ subq(sF5,m(sF10,sF1))
    | spl11_329 ),
    inference(avatar_component_clause,[],[f9580]) ).

fof(f9584,definition,
    ( spl11_330
  <=> subq(sF10,m(sF10,sF1)) ),
    introduced(definition,[new_symbols(definition,[spl11_330])],[avatar_definition]) ).

fof(f9586,plain,
    ( subq(sF10,m(sF10,sF1))
    | ~ spl11_330 ),
    inference(avatar_component_clause,[],[f9584]) ).

fof(f9587,plain,
    ( ~ spl11_329
    | spl11_330
    | ~ spl11_305 ),
    inference(avatar_split_clause,[],[f9557,f9272,f9584,f9580]) ).

fof(f9589,definition,
    ( spl11_331
  <=> atleast4p(m(sF10,sF1)) ),
    introduced(definition,[new_symbols(definition,[spl11_331])],[avatar_definition]) ).

fof(f9591,plain,
    ( atleast4p(m(sF10,sF1))
    | ~ spl11_331 ),
    inference(avatar_component_clause,[],[f9589]) ).

fof(f9592,plain,
    ( spl11_327
    | spl11_331
    | ~ spl11_68
    | ~ spl11_305 ),
    inference(avatar_split_clause,[],[f9576,f9272,f768,f9589,f9568]) ).

fof(f15700,plain,
    ! [X0] :
      ( subq(sF5,X0)
      | ~ subq(sF10,X0)
      | subq(sF5,X0) ),
    inference(resolution,[],[f2344,f51]) ).

fof(f15765,plain,
    ! [X0] :
      ( ~ subq(sF10,X0)
      | subq(sF5,X0) ),
    inference(duplicate_literal_removal,[],[f15700]) ).

fof(f21087,plain,
    ! [X0,X1] :
      ( subq(m(X0,X1),X0)
      | subq(m(X0,X1),X0) ),
    inference(resolution,[],[f5653,f51]) ).

fof(f21155,plain,
    ! [X0,X1] : subq(m(X0,X1),X0),
    inference(duplicate_literal_removal,[],[f21087]) ).

fof(f21163,plain,
    ! [X0,X1] :
      ( ~ subq(X0,m(X0,X1))
      | m(X0,X1) = X0 ),
    inference(resolution,[],[f21155,f52]) ).

fof(f21166,plain,
    ! [X0,X1] :
      ( subq(X0,m(X0,X1))
      | ~ atleast4p(m(X0,X1))
      | atleast5p(X0) ),
    inference(resolution,[],[f21155,f69]) ).

fof(f21854,plain,
    ! [X0] :
      ( ~ atleast4p(m(sF10,X0))
      | atleast5p(sF10)
      | subq(sF5,m(sF10,X0)) ),
    inference(resolution,[],[f21166,f15765]) ).

fof(f21860,plain,
    ! [X0] :
      ( subq(sF5,m(sF10,X0))
      | ~ atleast4p(m(sF10,X0)) ),
    inference(forward_subsumption_resolution,[],[f21854,f94]) ).

fof(f22577,plain,
    ! [X0,X1] :
      ( atleast3p(u(X1,X0))
      | ~ atleast2p(X0)
      | u(X1,X0) = X0 ),
    inference(resolution,[],[f643,f646]) ).

fof(f25379,definition,
    ( spl11_651
  <=> mem(sF4,sF3) ),
    introduced(definition,[new_symbols(definition,[spl11_651])],[avatar_definition]) ).

fof(f25381,plain,
    ( mem(sF4,sF3)
    | ~ spl11_651 ),
    inference(avatar_component_clause,[],[f25379]) ).

fof(f26134,plain,
    ! [X0] :
      ( atleast3p(X0)
      | ~ atleast2p(e)
      | e = X0 ),
    inference(superposition,[],[f22577,f7704]) ).

fof(f26706,plain,
    ! [X0,X1] :
      ( sK0(u(s(X0),X1),X1) = X0
      | u(s(X0),X1) = X1 ),
    inference(resolution,[],[f3556,f646]) ).

fof(f26786,plain,
    ! [X0,X1] :
      ( ~ mem(X0,X1)
      | subq(u(s(X0),X1),X1)
      | u(s(X0),X1) = X1 ),
    inference(superposition,[],[f51,f26706]) ).

fof(f26880,plain,
    ! [X0,X1] :
      ( ~ mem(X0,X1)
      | u(s(X0),X1) = X1 ),
    inference(forward_subsumption_resolution,[],[f26786,f646]) ).

fof(f26915,plain,
    sF4 = u(s(e),sF4),
    inference(resolution,[],[f26880,f201]) ).

fof(f26917,plain,
    sF10 = u(s(e),sF10),
    inference(resolution,[],[f26880,f809]) ).

fof(f27190,plain,
    sF10 = u(sF1,sF10),
    inference(forward_demodulation,[],[f26917,f75]) ).

fof(f27192,plain,
    sF4 = u(sF1,sF4),
    inference(forward_demodulation,[],[f26915,f75]) ).

fof(f27481,plain,
    ! [X0] :
      ( ~ mem(X0,sF1)
      | mem(X0,sF10) ),
    inference(superposition,[],[f58,f27190]) ).

fof(f29374,plain,
    subq(sF1,sF4),
    inference(superposition,[],[f939,f27192]) ).

fof(f30209,definition,
    ( spl11_712
  <=> mem(sF4,sF1) ),
    introduced(definition,[new_symbols(definition,[spl11_712])],[avatar_definition]) ).

fof(f30210,plain,
    ( mem(sF4,sF1)
    | ~ spl11_712 ),
    inference(avatar_component_clause,[],[f30209]) ).

fof(f30211,plain,
    ( ~ mem(sF4,sF1)
    | spl11_712 ),
    inference(avatar_component_clause,[],[f30209]) ).

fof(f33602,definition,
    ( spl11_723
  <=> sF10 = m(sF10,sF1) ),
    introduced(definition,[new_symbols(definition,[spl11_723])],[avatar_definition]) ).

fof(f33604,plain,
    ( sF10 = m(sF10,sF1)
    | ~ spl11_723 ),
    inference(avatar_component_clause,[],[f33602]) ).

fof(f40939,definition,
    ( spl11_863
  <=> mem(sF4,sF8) ),
    introduced(definition,[new_symbols(definition,[spl11_863])],[avatar_definition]) ).

fof(f40940,plain,
    ( mem(sF4,sF8)
    | ~ spl11_863 ),
    inference(avatar_component_clause,[],[f40939]) ).

fof(f40941,plain,
    ( ~ mem(sF4,sF8)
    | spl11_863 ),
    inference(avatar_component_clause,[],[f40939]) ).

fof(f43012,definition,
    ( spl11_894
  <=> mem(sF4,sF7) ),
    introduced(definition,[new_symbols(definition,[spl11_894])],[avatar_definition]) ).

fof(f43014,plain,
    ( mem(sF4,sF7)
    | ~ spl11_894 ),
    inference(avatar_component_clause,[],[f43012]) ).

fof(f43035,plain,
    ( mem(sF4,sF6)
    | mem(sF4,sF3)
    | ~ spl11_894 ),
    inference(resolution,[],[f43014,f118]) ).

fof(f43044,plain,
    ( mem(sF4,sF3)
    | spl11_119
    | ~ spl11_894 ),
    inference(forward_subsumption_resolution,[],[f43035,f1867]) ).

fof(f43045,plain,
    ( spl11_651
    | spl11_119
    | ~ spl11_894 ),
    inference(avatar_split_clause,[],[f43044,f43012,f1865,f25379]) ).

fof(f43057,plain,
    ( sF1 = sF4
    | ~ spl11_33
    | ~ spl11_651 ),
    inference(resolution,[],[f25381,f2631]) ).

fof(f43076,plain,
    ( spl11_122
    | ~ spl11_33
    | ~ spl11_651 ),
    inference(avatar_split_clause,[],[f43057,f25379,f407,f1977]) ).

fof(f43147,plain,
    ( mem(u(sF3,e),sF1)
    | ~ spl11_122 ),
    inference(superposition,[],[f7626,f1979]) ).

fof(f43193,plain,
    ( mem(sF3,sF1)
    | ~ spl11_122 ),
    inference(forward_demodulation,[],[f43147,f7704]) ).

fof(f48237,plain,
    ( ! [X0] :
        ( ~ mem(X0,sF4)
        | subq(sF3,X0) )
    | ~ spl11_144 ),
    inference(resolution,[],[f2513,f64]) ).

fof(f48260,plain,
    ( subq(sF3,e)
    | ~ spl11_144 ),
    inference(resolution,[],[f48237,f201]) ).

fof(f48380,definition,
    ( spl11_978
  <=> subq(sF3,e) ),
    introduced(definition,[new_symbols(definition,[spl11_978])],[avatar_definition]) ).

fof(f48381,plain,
    ( subq(sF3,e)
    | ~ spl11_978 ),
    inference(avatar_component_clause,[],[f48380]) ).

fof(f48391,plain,
    ( spl11_978
    | ~ spl11_144 ),
    inference(avatar_split_clause,[],[f48260,f2512,f48380]) ).

fof(f48442,plain,
    ( mem(sF2,e)
    | ~ spl11_978 ),
    inference(resolution,[],[f48381,f180]) ).

fof(f48459,plain,
    ( $false
    | ~ spl11_978 ),
    inference(forward_subsumption_resolution,[],[f48442,f53]) ).

fof(f48460,plain,
    ~ spl11_978,
    inference(avatar_contradiction_clause,[],[f48459]) ).

fof(f50059,plain,
    ( ~ mem(sF1,sF5)
    | ~ spl11_33
    | spl11_40 ),
    inference(forward_demodulation,[],[f446,f409]) ).

fof(f50127,definition,
    ( spl11_1026
  <=> mem(sF3,sF1) ),
    introduced(definition,[new_symbols(definition,[spl11_1026])],[avatar_definition]) ).

fof(f50128,plain,
    ( mem(sF3,sF1)
    | ~ spl11_1026 ),
    inference(avatar_component_clause,[],[f50127]) ).

fof(f50463,definition,
    ( spl11_1071
  <=> mem(sF1,sF5) ),
    introduced(definition,[new_symbols(definition,[spl11_1071])],[avatar_definition]) ).

fof(f50464,plain,
    ( ~ mem(sF1,sF5)
    | spl11_1071 ),
    inference(avatar_component_clause,[],[f50463]) ).

fof(f50471,definition,
    ( spl11_1072
  <=> subq(sF1,sF4) ),
    introduced(definition,[new_symbols(definition,[spl11_1072])],[avatar_definition]) ).

fof(f50473,plain,
    ( subq(sF1,sF4)
    | ~ spl11_1072 ),
    inference(avatar_component_clause,[],[f50471]) ).

fof(f50486,plain,
    spl11_1072,
    inference(avatar_split_clause,[],[f29374,f50471]) ).

fof(f50506,plain,
    ( ~ spl11_1071
    | ~ spl11_33
    | spl11_40 ),
    inference(avatar_split_clause,[],[f50059,f445,f407,f50463]) ).

fof(f50628,definition,
    ( spl11_1082
  <=> mem(sF4,sF9) ),
    introduced(definition,[new_symbols(definition,[spl11_1082])],[avatar_definition]) ).

fof(f50630,plain,
    ( mem(sF4,sF9)
    | ~ spl11_1082 ),
    inference(avatar_component_clause,[],[f50628]) ).

fof(f51353,plain,
    ( mem(sF1,sF5)
    | ~ spl11_1072 ),
    inference(resolution,[],[f50473,f139]) ).

fof(f51362,plain,
    ( $false
    | spl11_1071
    | ~ spl11_1072 ),
    inference(forward_subsumption_resolution,[],[f51353,f50464]) ).

fof(f51363,plain,
    ( spl11_1071
    | ~ spl11_1072 ),
    inference(avatar_contradiction_clause,[],[f51362]) ).

fof(f57229,plain,
    ( e = sF4
    | ~ spl11_712 ),
    inference(resolution,[],[f30210,f106]) ).

fof(f57360,plain,
    ( ~ atleast2p(sF4)
    | spl11_46
    | ~ spl11_712 ),
    inference(superposition,[],[f533,f57229]) ).

fof(f57433,plain,
    ( $false
    | spl11_46
    | ~ spl11_143
    | ~ spl11_712 ),
    inference(forward_subsumption_resolution,[],[f57360,f2510]) ).

fof(f57434,plain,
    ( spl11_46
    | ~ spl11_143
    | ~ spl11_712 ),
    inference(avatar_contradiction_clause,[],[f57433]) ).

fof(f58323,plain,
    ( ! [X0] :
        ( atleast3p(X0)
        | e = X0 )
    | ~ spl11_46 ),
    inference(forward_subsumption_resolution,[],[f26134,f532]) ).

fof(f58425,plain,
    ( e = sF7
    | ~ spl11_46
    | spl11_60 ),
    inference(resolution,[],[f58323,f718]) ).

fof(f58427,plain,
    ( $false
    | ~ spl11_46
    | spl11_60
    | spl11_96 ),
    inference(forward_subsumption_resolution,[],[f58425,f1192]) ).

fof(f58428,plain,
    ( ~ spl11_46
    | spl11_60
    | spl11_96 ),
    inference(avatar_contradiction_clause,[],[f58427]) ).

fof(f72940,plain,
    ! [X0] :
      ( mem(sK0(sF7,X0),sF3)
      | subq(sF7,X0)
      | ~ subq(sF6,X0)
      | subq(sF7,X0) ),
    inference(resolution,[],[f5622,f51]) ).

fof(f73077,plain,
    ! [X0] :
      ( mem(sK0(sF7,X0),sF3)
      | subq(sF7,X0)
      | ~ subq(sF6,X0) ),
    inference(duplicate_literal_removal,[],[f72940]) ).

fof(f73139,plain,
    ! [X0,X1] :
      ( mem(sK0(sF7,X0),X1)
      | ~ subq(sF6,X0)
      | subq(sF7,X0)
      | ~ subq(sF3,X1) ),
    inference(resolution,[],[f73077,f49]) ).

fof(f73172,plain,
    ! [X0] :
      ( ~ subq(sF6,X0)
      | subq(sF7,X0)
      | ~ subq(sF3,X0)
      | subq(sF7,X0) ),
    inference(resolution,[],[f73139,f51]) ).

fof(f73313,plain,
    ! [X0] :
      ( ~ subq(sF6,X0)
      | subq(sF7,X0)
      | ~ subq(sF3,X0) ),
    inference(duplicate_literal_removal,[],[f73172]) ).

fof(f73354,plain,
    ! [X0] :
      ( subq(sF7,p(X0))
      | ~ subq(sF3,p(X0))
      | ~ mem(X0,sF6)
      | atleast2p(sF6) ),
    inference(resolution,[],[f73313,f66]) ).

fof(f73384,plain,
    ( ! [X0] :
        ( ~ subq(sF3,p(X0))
        | subq(sF7,p(X0))
        | ~ mem(X0,sF6) )
    | spl11_19 ),
    inference(forward_subsumption_resolution,[],[f73354,f308]) ).

fof(f73431,plain,
    ( ~ subq(sF3,sF4)
    | subq(sF7,sF4)
    | ~ mem(sF3,sF6)
    | spl11_19 ),
    inference(superposition,[],[f73384,f81]) ).

fof(f87873,plain,
    ( ~ atleast4p(m(sF10,sF1))
    | spl11_329 ),
    inference(resolution,[],[f9582,f21860]) ).

fof(f87887,plain,
    ( $false
    | spl11_329
    | ~ spl11_331 ),
    inference(forward_subsumption_resolution,[],[f87873,f9591]) ).

fof(f87888,plain,
    ( spl11_329
    | ~ spl11_331 ),
    inference(avatar_contradiction_clause,[],[f87887]) ).

fof(f87914,plain,
    ( ! [X0] :
        ( ~ mem(X0,sF9)
        | ~ mem(X0,sF1) )
    | ~ spl11_328 ),
    inference(superposition,[],[f59,f9574]) ).

fof(f87916,plain,
    ( ! [X0] :
        ( ~ mem(X0,sF10)
        | mem(X0,sF9)
        | mem(X0,sF1) )
    | ~ spl11_328 ),
    inference(superposition,[],[f61,f9574]) ).

fof(f88019,plain,
    ( ~ mem(sF3,sF1)
    | ~ spl11_328 ),
    inference(resolution,[],[f87914,f153]) ).

fof(f88149,plain,
    ( mem(sF4,sF9)
    | mem(sF4,sF1)
    | ~ spl11_328 ),
    inference(resolution,[],[f87916,f344]) ).

fof(f88163,plain,
    ( mem(sF4,sF9)
    | ~ spl11_328
    | spl11_712 ),
    inference(forward_subsumption_resolution,[],[f88149,f30211]) ).

fof(f88189,plain,
    ( spl11_1082
    | ~ spl11_328
    | spl11_712 ),
    inference(avatar_split_clause,[],[f88163,f30209,f9572,f50628]) ).

fof(f88243,plain,
    ( sF10 = m(sF10,sF1)
    | ~ spl11_330 ),
    inference(resolution,[],[f9586,f21163]) ).

fof(f88257,plain,
    ( spl11_723
    | ~ spl11_330 ),
    inference(avatar_split_clause,[],[f88243,f9584,f33602]) ).

fof(f88428,plain,
    ( mem(sF4,sF8)
    | mem(sF4,sF7)
    | ~ spl11_1082 ),
    inference(resolution,[],[f50630,f120]) ).

fof(f88445,plain,
    ( mem(sF4,sF7)
    | spl11_863
    | ~ spl11_1082 ),
    inference(forward_subsumption_resolution,[],[f88428,f40941]) ).

fof(f88542,plain,
    ( sF4 = sF7
    | ~ spl11_863 ),
    inference(resolution,[],[f40940,f109]) ).

fof(f88564,plain,
    ( $false
    | spl11_116
    | ~ spl11_863 ),
    inference(forward_subsumption_resolution,[],[f88542,f1810]) ).

fof(f88565,plain,
    ( spl11_116
    | ~ spl11_863 ),
    inference(avatar_contradiction_clause,[],[f88564]) ).

fof(f88606,plain,
    ( ! [X0] :
        ( ~ mem(X0,sF10)
        | ~ mem(X0,sF1) )
    | ~ spl11_723 ),
    inference(superposition,[],[f59,f33604]) ).

fof(f88626,plain,
    ( ! [X0] : ~ mem(X0,sF1)
    | ~ spl11_723 ),
    inference(forward_subsumption_resolution,[],[f88606,f27481]) ).

fof(f88632,plain,
    ( $false
    | ~ spl11_723 ),
    inference(resolution,[],[f88626,f95]) ).

fof(f88702,plain,
    ~ spl11_723,
    inference(avatar_contradiction_clause,[],[f88632]) ).

fof(f89550,plain,
    ( ~ subq(sF3,sF4)
    | ~ mem(sF3,sF6)
    | spl11_18
    | spl11_19 ),
    inference(forward_subsumption_resolution,[],[f73431,f303]) ).

fof(f89658,plain,
    ( ~ subq(sF3,sF4)
    | spl11_18
    | spl11_19 ),
    inference(forward_subsumption_resolution,[],[f89550,f97]) ).

fof(f89683,plain,
    ( ~ subq(sF3,sF7)
    | spl11_18
    | spl11_19
    | ~ spl11_116 ),
    inference(forward_demodulation,[],[f89658,f1811]) ).

fof(f89699,plain,
    ( $false
    | spl11_18
    | spl11_19
    | ~ spl11_75
    | ~ spl11_116 ),
    inference(forward_subsumption_resolution,[],[f89683,f860]) ).

fof(f89700,plain,
    ( spl11_18
    | spl11_19
    | ~ spl11_75
    | ~ spl11_116 ),
    inference(avatar_contradiction_clause,[],[f89699]) ).

fof(f90293,plain,
    ( spl11_894
    | spl11_863
    | ~ spl11_1082 ),
    inference(avatar_split_clause,[],[f88445,f50628,f40939,f43012]) ).

fof(f90323,plain,
    ( $false
    | spl11_18
    | spl11_19
    | ~ spl11_184 ),
    inference(forward_subsumption_resolution,[],[f89658,f3907]) ).

fof(f90324,plain,
    ( spl11_18
    | spl11_19
    | ~ spl11_184 ),
    inference(avatar_contradiction_clause,[],[f90323]) ).

fof(f90632,plain,
    ( subq(sF3,sF4)
    | ~ spl11_120 ),
    inference(resolution,[],[f1871,f100]) ).

fof(f90654,plain,
    ( $false
    | ~ spl11_120
    | spl11_184 ),
    inference(forward_subsumption_resolution,[],[f90632,f3906]) ).

fof(f90655,plain,
    ( ~ spl11_120
    | spl11_184 ),
    inference(avatar_contradiction_clause,[],[f90654]) ).

fof(f90694,plain,
    ( spl11_1026
    | ~ spl11_122 ),
    inference(avatar_split_clause,[],[f43193,f1977,f50127]) ).

fof(f90789,plain,
    ( $false
    | ~ spl11_328
    | ~ spl11_1026 ),
    inference(forward_subsumption_resolution,[],[f88019,f50128]) ).

fof(f90790,plain,
    ( ~ spl11_328
    | ~ spl11_1026 ),
    inference(avatar_contradiction_clause,[],[f90789]) ).

cnf(s8,plain,
    ( spl11_17
    | spl11_18 ),
    inference(sat_conversion,[],[f305]) ).

cnf(s13,plain,
    ( ~ spl11_3
    | ~ spl11_24
    | spl11_25 ),
    inference(sat_conversion,[],[f364]) ).

cnf(s17,plain,
    ( ~ spl11_32
    | spl11_33 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s25,plain,
    ~ spl11_38,
    inference(sat_conversion,[],[f516]) ).

cnf(s27,plain,
    spl11_24,
    inference(sat_conversion,[],[f563]) ).

cnf(s31,plain,
    spl11_32,
    inference(sat_conversion,[],[f656]) ).

cnf(s32,plain,
    ( ~ spl11_54
    | spl11_55 ),
    inference(sat_conversion,[],[f696]) ).

cnf(s35,plain,
    ( ~ spl11_19
    | spl11_54
    | spl11_60 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s44,plain,
    ( spl11_3
    | ~ spl11_24
    | ~ spl11_29 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s53,plain,
    ( ~ spl11_25
    | spl11_80
    | spl11_81 ),
    inference(sat_conversion,[],[f920]) ).

cnf(s54,plain,
    spl11_75,
    inference(sat_conversion,[],[f961]) ).

cnf(s55,plain,
    ( ~ spl11_82
    | spl11_83 ),
    inference(sat_conversion,[],[f978]) ).

cnf(s57,plain,
    ( spl11_29
    | ~ spl11_60
    | spl11_82 ),
    inference(sat_conversion,[],[f983]) ).

cnf(s58,plain,
    ( ~ spl11_17
    | spl11_68
    | spl11_82 ),
    inference(sat_conversion,[],[f985]) ).

cnf(s75,plain,
    ( ~ spl11_80
    | spl11_104
    | spl11_105 ),
    inference(sat_conversion,[],[f1246]) ).

cnf(s79,plain,
    ( ~ spl11_33
    | ~ spl11_98 ),
    inference(sat_conversion,[],[f1325]) ).

cnf(s81,plain,
    ( ~ spl11_33
    | spl11_92
    | ~ spl11_104 ),
    inference(sat_conversion,[],[f1372]) ).

cnf(s88,plain,
    ( ~ spl11_33
    | ~ spl11_92
    | ~ spl11_104 ),
    inference(sat_conversion,[],[f1421]) ).

cnf(s89,plain,
    ( ~ spl11_92
    | spl11_104 ),
    inference(sat_conversion,[],[f1424]) ).

cnf(s97,plain,
    ( spl11_21
    | ~ spl11_96 ),
    inference(sat_conversion,[],[f1480]) ).

cnf(s100,plain,
    ( spl11_98
    | ~ spl11_105 ),
    inference(sat_conversion,[],[f1496]) ).

cnf(s101,plain,
    ( ~ spl11_81
    | spl11_96 ),
    inference(sat_conversion,[],[f1497]) ).

cnf(s111,plain,
    ( spl11_18
    | ~ spl11_21 ),
    inference(sat_conversion,[],[f1666]) ).

cnf(s118,plain,
    ( ~ spl11_76
    | spl11_101 ),
    inference(sat_conversion,[],[f1763]) ).

cnf(s121,plain,
    ( ~ spl11_18
    | spl11_38 ),
    inference(sat_conversion,[],[f1814]) ).

cnf(s125,plain,
    ( spl11_76
    | ~ spl11_100 ),
    inference(sat_conversion,[],[f1851]) ).

cnf(s126,plain,
    ( spl11_19
    | ~ spl11_119
    | spl11_120 ),
    inference(sat_conversion,[],[f1872]) ).

cnf(s129,plain,
    ( spl11_18
    | ~ spl11_33
    | ~ spl11_40
    | ~ spl11_101 ),
    inference(sat_conversion,[],[f1957]) ).

cnf(s138,plain,
    ( spl11_128
    | spl11_129 ),
    inference(sat_conversion,[],[f2158]) ).

cnf(s142,plain,
    ( spl11_101
    | ~ spl11_128 ),
    inference(sat_conversion,[],[f2206]) ).

cnf(s152,plain,
    ( spl11_143
    | spl11_144 ),
    inference(sat_conversion,[],[f2514]) ).

cnf(s176,plain,
    ( spl11_100
    | spl11_101
    | ~ spl11_129
    | ~ spl11_169 ),
    inference(sat_conversion,[],[f3008]) ).

cnf(s227,plain,
    ( ~ spl11_83
    | spl11_169 ),
    inference(sat_conversion,[],[f4746]) ).

cnf(s232,plain,
    ( ~ spl11_33
    | ~ spl11_55
    | spl11_92 ),
    inference(sat_conversion,[],[f4921]) ).

cnf(s326,plain,
    ( spl11_304
    | spl11_305 ),
    inference(sat_conversion,[],[f9275]) ).

cnf(s349,plain,
    ( spl11_96
    | spl11_104
    | spl11_105
    | ~ spl11_304
    | spl11_305 ),
    inference(sat_conversion,[],[f9556]) ).

cnf(s350,plain,
    ( ~ spl11_305
    | ~ spl11_327
    | spl11_328 ),
    inference(sat_conversion,[],[f9575]) ).

cnf(s351,plain,
    ( ~ spl11_305
    | ~ spl11_329
    | spl11_330 ),
    inference(sat_conversion,[],[f9587]) ).

cnf(s352,plain,
    ( ~ spl11_68
    | ~ spl11_305
    | spl11_327
    | spl11_331 ),
    inference(sat_conversion,[],[f9592]) ).

cnf(s1168,plain,
    ( spl11_119
    | spl11_651
    | ~ spl11_894 ),
    inference(sat_conversion,[],[f43045]) ).

cnf(s1170,plain,
    ( ~ spl11_33
    | spl11_122
    | ~ spl11_651 ),
    inference(sat_conversion,[],[f43076]) ).

cnf(s1419,plain,
    ( ~ spl11_144
    | spl11_978 ),
    inference(sat_conversion,[],[f48391]) ).

cnf(s1423,plain,
    ~ spl11_978,
    inference(sat_conversion,[],[f48460]) ).

cnf(s1555,plain,
    spl11_1072,
    inference(sat_conversion,[],[f50486]) ).

cnf(s1563,plain,
    ( ~ spl11_33
    | spl11_40
    | ~ spl11_1071 ),
    inference(sat_conversion,[],[f50506]) ).

cnf(s1664,plain,
    ( spl11_1071
    | ~ spl11_1072 ),
    inference(sat_conversion,[],[f51363]) ).

cnf(s1873,plain,
    ( spl11_46
    | ~ spl11_143
    | ~ spl11_712 ),
    inference(sat_conversion,[],[f57434]) ).

cnf(s1934,plain,
    ( ~ spl11_46
    | spl11_60
    | spl11_96 ),
    inference(sat_conversion,[],[f58428]) ).

cnf(s2906,plain,
    ( spl11_329
    | ~ spl11_331 ),
    inference(sat_conversion,[],[f87888]) ).

cnf(s2908,plain,
    ( ~ spl11_328
    | spl11_712
    | spl11_1082 ),
    inference(sat_conversion,[],[f88189]) ).

cnf(s2915,plain,
    ( ~ spl11_330
    | spl11_723 ),
    inference(sat_conversion,[],[f88257]) ).

cnf(s2950,plain,
    ( spl11_116
    | ~ spl11_863 ),
    inference(sat_conversion,[],[f88565]) ).

cnf(s2952,plain,
    ~ spl11_723,
    inference(sat_conversion,[],[f88702]) ).

cnf(s3093,plain,
    ( spl11_18
    | spl11_19
    | ~ spl11_75
    | ~ spl11_116 ),
    inference(sat_conversion,[],[f89700]) ).

cnf(s3148,plain,
    ( spl11_863
    | spl11_894
    | ~ spl11_1082 ),
    inference(sat_conversion,[],[f90293]) ).

cnf(s3151,plain,
    ( spl11_18
    | spl11_19
    | ~ spl11_184 ),
    inference(sat_conversion,[],[f90324]) ).

cnf(s3170,plain,
    ( ~ spl11_120
    | spl11_184 ),
    inference(sat_conversion,[],[f90655]) ).

cnf(s3200,plain,
    ( ~ spl11_122
    | spl11_1026 ),
    inference(sat_conversion,[],[f90694]) ).

cnf(s3228,plain,
    ( ~ spl11_328
    | ~ spl11_1026 ),
    inference(sat_conversion,[],[f90790]) ).

cnf(s3276,plain,
    ~ spl11_330,
    inference(rat,[],[s2915,s2952]) ).

cnf(s3281,plain,
    spl11_1071,
    inference(rat,[],[s1664,s1555]) ).

cnf(s3286,plain,
    ~ spl11_144,
    inference(rat,[],[s1419,s1423]) ).

cnf(s3303,plain,
    ( ~ spl11_305
    | ~ spl11_329 ),
    inference(rat,[],[s351,s3276]) ).

cnf(s3310,plain,
    spl11_143,
    inference(rat,[],[s152,s3286]) ).

cnf(s3315,plain,
    ~ spl11_18,
    inference(rat,[],[s121,s25]) ).

cnf(s3318,plain,
    ~ spl11_21,
    inference(rat,[],[s111,s3315]) ).

cnf(s3320,plain,
    ~ spl11_96,
    inference(rat,[],[s97,s3318]) ).

cnf(s3324,plain,
    ~ spl11_81,
    inference(rat,[],[s101,s3320]) ).

cnf(s3338,plain,
    spl11_33,
    inference(rat,[],[s17,s31]) ).

cnf(s3341,plain,
    spl11_40,
    inference(rat,[],[s1563,s3281,s3338]) ).

cnf(s3343,plain,
    ~ spl11_98,
    inference(rat,[],[s79,s3338]) ).

cnf(s3352,plain,
    ~ spl11_101,
    inference(rat,[],[s129,s3338,s3315,s3341]) ).

cnf(s3358,plain,
    ~ spl11_105,
    inference(rat,[],[s100,s3343]) ).

cnf(s3366,plain,
    ~ spl11_128,
    inference(rat,[],[s142,s3352]) ).

cnf(s3367,plain,
    ~ spl11_76,
    inference(rat,[],[s118,s3352]) ).

cnf(s3371,plain,
    spl11_129,
    inference(rat,[],[s138,s3366]) ).

cnf(s3378,plain,
    ~ spl11_100,
    inference(rat,[],[s125,s3367]) ).

cnf(s3386,plain,
    ~ spl11_169,
    inference(rat,[],[s176,s3371,s3352,s3378]) ).

cnf(s3393,plain,
    ~ spl11_83,
    inference(rat,[],[s227,s3386]) ).

cnf(s3397,plain,
    ~ spl11_82,
    inference(rat,[],[s55,s3393]) ).

cnf(s3416,plain,
    ( ~ spl11_3
    | spl11_25 ),
    inference(rat,[],[s13,s27]) ).

cnf(s3418,plain,
    spl11_17,
    inference(rat,[],[s8,s3315]) ).

cnf(s3419,plain,
    spl11_68,
    inference(rat,[],[s58,s3397,s3418]) ).

cnf(s3423,plain,
    ( ~ spl11_305
    | spl11_328 ),
    inference(rat,[],[s352,s2906,s350,s3303,s3419]) ).

cnf(s3424,plain,
    ~ spl11_104,
    inference(rat,[],[s81,s88,s3338]) ).

cnf(s3426,plain,
    ~ spl11_92,
    inference(rat,[],[s89,s3424]) ).

cnf(s3428,plain,
    ~ spl11_80,
    inference(rat,[],[s75,s3358,s3424]) ).

cnf(s3433,plain,
    ~ spl11_55,
    inference(rat,[],[s232,s3338,s3426]) ).

cnf(s3437,plain,
    ~ spl11_25,
    inference(rat,[],[s53,s3324,s3428]) ).

cnf(s3445,plain,
    ~ spl11_54,
    inference(rat,[],[s32,s3433]) ).

cnf(s3450,plain,
    ( ~ spl11_328
    | spl11_60 ),
    inference(rat,[],[s1168,s1170,s3148,s3200,s2908,s3228,s1873,s1934,s2950,s3093,s126,s3170,s3151,s35,s3338,s3445,s3315,s54,s3310,s3320]) ).

cnf(s3451,plain,
    spl11_305,
    inference(rat,[],[s349,s326,s3320,s3358,s3424]) ).

cnf(s3452,plain,
    ~ spl11_3,
    inference(rat,[],[s3416,s3437]) ).

cnf(s3454,plain,
    spl11_328,
    inference(rat,[],[s3423,s3451]) ).

cnf(s3461,plain,
    ~ spl11_29,
    inference(rat,[],[s44,s27,s3452]) ).

cnf(s3466,plain,
    spl11_60,
    inference(rat,[],[s3450,s3454]) ).

cnf(s3470,plain,
    $false,
    inference(rat,[],[s57,s3397,s3466,s3461]) ).

fof(f91689,plain,
    $false,
    inference(avatar_sat_refutation,[],[s3470]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV534+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.40  % Computer : n008.cluster.edu
% 0.16/0.40  % Model    : x86_64 x86_64
% 0.16/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.40  % Memory   : 8046.5625MB
% 0.16/0.40  % OS       : Linux 6.8.0-71-generic
% 0.16/0.40  % CPULimit : 300
% 0.16/0.40  % WCLimit  : 300
% 0.16/0.40  % DateTime : Mon Sep 28 06:32:09 UTC 2026
% 0.16/0.40  % CPUTime  : 
% 0.16/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.46  Running first-order theorem proving
% 0.16/0.46  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
% 15.77/3.17  % (2045378)Detected formulas, will run a generic FOF schedule.
% 15.77/3.17  % (2045390)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=462317407:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 15.77/3.17  % (2045389)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3474198222:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 15.77/3.17  % (2045385)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=742514704:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 15.77/3.17  % (2045387)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=1146668558:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 15.77/3.17  % (2045386)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=311855012:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 15.77/3.17  % (2045388)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4119168111:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 15.77/3.17  % (2045388)Refutation not found, incomplete strategy
% 15.77/3.17  % (2045388)------------------------------
% 15.77/3.17  % (2045388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.77/3.17  % (2045388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.77/3.17  % (2045388)CaDiCaL version: 2.1.3
% 15.77/3.17  % (2045388)Termination reason: Refutation not found, incomplete strategy
% 15.77/3.17  % (2045388)Time elapsed: 0.002 s
% 15.77/3.17  % (2045388)Peak memory usage: 87 MB
% 15.77/3.17  % (2045390)Instruction limit reached! 
% 15.77/3.17  % (2045390)------------------------------
% 15.77/3.17  % (2045390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.77/3.17  % (2045390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.77/3.17  % (2045390)CaDiCaL version: 2.1.3
% 15.77/3.17  % (2045390)Termination reason: Instruction limit
% 15.77/3.17  % (2045390)Termination phase: Saturation
% 15.77/3.17  % (2045390)Time elapsed: 0.070 s
% 15.77/3.17  % (2045390)Peak memory usage: 88 MB
% 15.77/3.17  % (2045390)Instructions burned: 141 (million)
% 15.77/3.17  % (2045391)dis-21_1_sil=8000:lcm=predicate:random_seed=4060926892: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)
% 15.77/3.17  % (2045389)Instruction limit reached! 
% 15.77/3.17  % (2045389)------------------------------
% 15.77/3.17  % (2045389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.77/3.17  % (2045389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.77/3.17  % (2045389)CaDiCaL version: 2.1.3
% 15.77/3.17  % (2045389)Termination reason: Instruction limit
% 15.77/3.17  % (2045389)Termination phase: Saturation
% 15.77/3.17  % (2045389)Time elapsed: 0.117 s
% 15.77/3.17  % (2045389)Peak memory usage: 88 MB
% 15.77/3.17  % (2045389)Instructions burned: 119 (million)
% 15.77/3.17  % (2045391)Instruction limit reached! 
% 15.77/3.17  % (2045391)------------------------------
% 15.77/3.17  % (2045391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.77/3.17  % (2045391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.77/3.17  % (2045391)CaDiCaL version: 2.1.3
% 15.77/3.17  % (2045391)Termination reason: Instruction limit
% 15.77/3.17  % (2045391)Termination phase: Saturation
% 15.77/3.17  % (2045391)Time elapsed: 0.124 s
% 15.77/3.17  % (2045391)Peak memory usage: 89 MB
% 15.77/3.17  % (2045391)Instructions burned: 129 (million)
% 15.77/3.17  % (2045398)lrs+10_1_sil=8000:sp=occurrence:random_seed=1548288188:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 15.77/3.17  % (2045400)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3154999364:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 15.77/3.17  % (2045400)Instruction limit reached! 
% 15.77/3.17  % (2045400)------------------------------
% 15.77/3.17  % (2045400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.77/3.17  % (2045400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.77/3.17  % (2045400)CaDiCaL version: 2.1.3
% 15.77/3.17  % (2045400)Termination reason: Instruction limit
% 15.77/3.17  % (2045400)Termination phase: Saturation
% 15.77/3.17  % (2045400)Time elapsed: 0.068 s
% 24.11/4.42  % (2045400)Peak memory usage: 89 MB
% 24.11/4.42  % (2045400)Instructions burned: 157 (million)
% 24.11/4.42  % (2045388)------------------------------
% 24.11/4.42  % (2045388)------------------------------
% 24.11/4.42  % (2045401)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1850601693:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 24.11/4.42  % (2045401)Refutation not found, incomplete strategy
% 24.11/4.42  % (2045401)------------------------------
% 24.11/4.42  % (2045401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.11/4.42  % (2045401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.11/4.42  % (2045401)CaDiCaL version: 2.1.3
% 24.11/4.42  % (2045401)Termination reason: Refutation not found, incomplete strategy
% 24.11/4.42  % (2045401)Time elapsed: 0.002 s
% 24.11/4.42  % (2045401)Peak memory usage: 88 MB
% 24.11/4.42  % (2045398)Instruction limit reached! 
% 24.11/4.42  % (2045398)------------------------------
% 24.11/4.42  % (2045398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.11/4.42  % (2045398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.11/4.42  % (2045398)CaDiCaL version: 2.1.3
% 24.11/4.42  % (2045398)Termination reason: Instruction limit
% 24.11/4.42  % (2045398)Termination phase: Saturation
% 24.11/4.42  % (2045398)Time elapsed: 0.282 s
% 24.11/4.42  % (2045398)Peak memory usage: 91 MB
% 24.11/4.42  % (2045398)Instructions burned: 286 (million)
% 24.11/4.42  % (2045404)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=1149274465:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 24.11/4.42  % (2045404)Instruction limit reached! 
% 24.11/4.42  % (2045404)------------------------------
% 24.11/4.42  % (2045404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.11/4.42  % (2045404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.11/4.42  % (2045404)CaDiCaL version: 2.1.3
% 24.11/4.42  % (2045404)Termination reason: Instruction limit
% 24.11/4.42  % (2045404)Termination phase: Saturation
% 24.11/4.42  % (2045404)Time elapsed: 0.121 s
% 24.11/4.42  % (2045404)Peak memory usage: 91 MB
% 24.11/4.42  % (2045404)Instructions burned: 249 (million)
% 24.11/4.42  % (2045406)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1502722794:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 24.11/4.42  % (2045406)Refutation not found, incomplete strategy
% 24.11/4.42  % (2045406)------------------------------
% 24.11/4.42  % (2045406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.11/4.42  % (2045406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.11/4.42  % (2045406)CaDiCaL version: 2.1.3
% 24.11/4.42  % (2045406)Termination reason: Refutation not found, incomplete strategy
% 24.11/4.42  % (2045406)Time elapsed: 0.002 s
% 24.11/4.42  % (2045406)Peak memory usage: 88 MB
% 24.11/4.42  % (2045406)Instructions burned: 1 (million)
% 24.11/4.42  % (2045407)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1516601555:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 24.11/4.42  % (2045401)------------------------------
% 24.11/4.42  % (2045401)------------------------------
% 24.11/4.42  % (2045409)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3926979544:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 24.11/4.42  % (2045387)Refutation not found, incomplete strategy
% 24.11/4.42  % (2045387)------------------------------
% 24.11/4.42  % (2045387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.11/4.42  % (2045387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.11/4.42  % (2045387)CaDiCaL version: 2.1.3
% 24.11/4.42  % (2045387)Termination reason: Refutation not found, incomplete strategy
% 24.11/4.42  % (2045387)Time elapsed: 0.888 s
% 24.11/4.42  % (2045387)Peak memory usage: 125 MB
% 24.11/4.42  % (2045387)Instructions burned: 828 (million)
% 24.11/4.42  % (2045409)Instruction limit reached! 
% 24.11/4.42  % (2045409)------------------------------
% 24.11/4.42  % (2045409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.11/4.42  % (2045409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.11/4.42  % (2045409)CaDiCaL version: 2.1.3
% 24.11/4.42  % (2045409)Termination reason: Instruction limit
% 24.11/4.42  % (2045409)Termination phase: Saturation
% 24.11/4.42  % (2045409)Time elapsed: 0.058 s
% 24.11/4.42  % (2045409)Peak memory usage: 89 MB
% 49.49/7.96  % (2045409)Instructions burned: 113 (million)
% 49.49/7.96  % (2045406)------------------------------
% 49.49/7.96  % (2045406)------------------------------
% 49.49/7.96  % (2045412)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1356285913:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 49.49/7.96  % (2045387)------------------------------
% 49.49/7.96  % (2045387)------------------------------
% 49.49/7.96  % (2045414)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3878897043:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 49.49/7.96  % (2045412)Instruction limit reached! 
% 49.49/7.96  % (2045412)------------------------------
% 49.49/7.96  % (2045412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.49/7.96  % (2045412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.49/7.96  % (2045412)CaDiCaL version: 2.1.3
% 49.49/7.96  % (2045412)Termination reason: Instruction limit
% 49.49/7.96  % (2045412)Termination phase: Saturation
% 49.49/7.96  % (2045412)Time elapsed: 0.107 s
% 49.49/7.96  % (2045412)Peak memory usage: 88 MB
% 49.49/7.96  % (2045412)Instructions burned: 128 (million)
% 49.49/7.96  % (2045414)Instruction limit reached! 
% 49.49/7.96  % (2045414)------------------------------
% 49.49/7.96  % (2045414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.49/7.96  % (2045414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.49/7.96  % (2045414)CaDiCaL version: 2.1.3
% 49.49/7.96  % (2045414)Termination reason: Instruction limit
% 49.49/7.96  % (2045414)Termination phase: Saturation
% 49.49/7.96  % (2045414)Time elapsed: 0.114 s
% 49.49/7.96  % (2045414)Peak memory usage: 89 MB
% 49.49/7.96  % (2045414)Instructions burned: 114 (million)
% 49.49/7.96  % (2045415)lrs+10_1_sil=8000:sp=occurrence:random_seed=107954489:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 49.49/7.96  % (2045420)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1821315511:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 49.49/7.96  % (2045420)Refutation not found, incomplete strategy
% 49.49/7.96  % (2045420)------------------------------
% 49.49/7.96  % (2045420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.49/7.96  % (2045420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.49/7.96  % (2045420)CaDiCaL version: 2.1.3
% 49.49/7.96  % (2045420)Termination reason: Refutation not found, incomplete strategy
% 49.49/7.96  % (2045420)Time elapsed: 0.001 s
% 49.49/7.96  % (2045420)Peak memory usage: 88 MB
% 49.49/7.96  % (2045421)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3667888735:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 49.49/7.96  % (2045422)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1037932397:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 49.49/7.96  % (2045420)------------------------------
% 49.49/7.96  % (2045420)------------------------------
% 49.49/7.96  % (2045422)Instruction limit reached! 
% 49.49/7.96  % (2045422)------------------------------
% 49.49/7.96  % (2045422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.49/7.96  % (2045422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.49/7.96  % (2045422)CaDiCaL version: 2.1.3
% 49.49/7.96  % (2045422)Termination reason: Instruction limit
% 49.49/7.96  % (2045422)Termination phase: Saturation
% 49.49/7.96  % (2045422)Time elapsed: 0.118 s
% 49.49/7.96  % (2045422)Peak memory usage: 90 MB
% 49.49/7.96  % (2045422)Instructions burned: 135 (million)
% 49.49/7.96  % (2045427)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=981909225:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 49.49/7.96  % (2045427)Refutation not found, incomplete strategy
% 49.49/7.96  % (2045427)------------------------------
% 49.49/7.96  % (2045427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.49/7.96  % (2045427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.49/7.96  % (2045427)CaDiCaL version: 2.1.3
% 49.49/7.96  % (2045427)Termination reason: Refutation not found, incomplete strategy
% 49.49/7.96  % (2045427)Time elapsed: 0.001 s
% 49.49/7.96  % (2045427)Peak memory usage: 88 MB
% 49.49/7.96  % (2045427)Instructions burned: 1 (million)
% 49.49/7.96  % (2045428)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3398884804:st=3:i=13193:sd=3:ss=axioms_2981 on theBenchmark for (2981ds/13193Mi)
% 68.93/10.71  % (2045427)------------------------------
% 68.93/10.71  % (2045427)------------------------------
% 68.93/10.71  % (2045415)Instruction limit reached! 
% 68.93/10.71  % (2045415)------------------------------
% 68.93/10.71  % (2045415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.93/10.71  % (2045415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.93/10.71  % (2045415)CaDiCaL version: 2.1.3
% 68.93/10.71  % (2045415)Termination reason: Instruction limit
% 68.93/10.71  % (2045415)Termination phase: Saturation
% 68.93/10.71  % (2045415)Time elapsed: 0.880 s
% 68.93/10.71  % (2045415)Peak memory usage: 97 MB
% 68.93/10.71  % (2045415)Instructions burned: 907 (million)
% 68.93/10.71  % (2045431)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=1984206163:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/125Mi)
% 68.93/10.71  % (2045431)Instruction limit reached! 
% 68.93/10.71  % (2045431)------------------------------
% 68.93/10.71  % (2045431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.93/10.71  % (2045431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.93/10.71  % (2045431)CaDiCaL version: 2.1.3
% 68.93/10.71  % (2045431)Termination reason: Instruction limit
% 68.93/10.71  % (2045431)Termination phase: Saturation
% 68.93/10.71  % (2045431)Time elapsed: 0.064 s
% 68.93/10.71  % (2045431)Peak memory usage: 90 MB
% 68.93/10.71  % (2045431)Instructions burned: 126 (million)
% 68.93/10.71  % (2045432)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1566338146:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 68.93/10.71  % (2045432)Instruction limit reached! 
% 68.93/10.71  % (2045432)------------------------------
% 68.93/10.71  % (2045432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.93/10.71  % (2045432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.93/10.71  % (2045432)CaDiCaL version: 2.1.3
% 68.93/10.71  % (2045432)Termination reason: Instruction limit
% 68.93/10.71  % (2045432)Termination phase: Saturation
% 68.93/10.71  % (2045432)Time elapsed: 0.049 s
% 68.93/10.71  % (2045432)Peak memory usage: 88 MB
% 68.93/10.71  % (2045432)Instructions burned: 135 (million)
% 68.93/10.71  % (2045434)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2708529119:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/141Mi)
% 68.93/10.71  % (2045434)Refutation not found, incomplete strategy
% 68.93/10.71  % (2045434)------------------------------
% 68.93/10.71  % (2045434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.93/10.71  % (2045434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.93/10.71  % (2045434)CaDiCaL version: 2.1.3
% 68.93/10.71  % (2045434)Termination reason: Refutation not found, incomplete strategy
% 68.93/10.71  % (2045434)Time elapsed: 0.002 s
% 68.93/10.71  % (2045434)Peak memory usage: 88 MB
% 68.93/10.71  % (2045436)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4175878769:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2973 on theBenchmark for (2973ds/431Mi)
% 68.93/10.71  % (2045436)Instruction limit reached! 
% 68.93/10.71  % (2045436)------------------------------
% 68.93/10.71  % (2045436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.93/10.71  % (2045436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.93/10.71  % (2045436)CaDiCaL version: 2.1.3
% 68.93/10.71  % (2045436)Termination reason: Instruction limit
% 68.93/10.71  % (2045436)Termination phase: Saturation
% 68.93/10.71  % (2045436)Time elapsed: 0.177 s
% 68.93/10.71  % (2045436)Peak memory usage: 92 MB
% 68.93/10.71  % (2045436)Instructions burned: 432 (million)
% 68.93/10.71  % (2045434)------------------------------
% 68.93/10.71  % (2045434)------------------------------
% 68.93/10.71  % (2045440)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=3239507485:i=6060:aac=none:ins=25_2969 on theBenchmark for (2969ds/6060Mi)
% 68.93/10.71  % (2045441)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=810082701:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2968 on theBenchmark for (2968ds/150Mi)
% 68.93/10.71  % (2045441)Instruction limit reached! 
% 68.93/10.71  % (2045441)------------------------------
% 76.48/11.87  % (2045441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.48/11.87  % (2045441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.48/11.87  % (2045441)CaDiCaL version: 2.1.3
% 76.48/11.87  % (2045441)Termination reason: Instruction limit
% 76.48/11.87  % (2045441)Termination phase: Saturation
% 76.48/11.87  % (2045441)Time elapsed: 0.077 s
% 76.48/11.87  % (2045441)Peak memory usage: 91 MB
% 76.48/11.87  % (2045441)Instructions burned: 152 (million)
% 76.48/11.87  % (2045407)Instruction limit reached! 
% 76.48/11.87  % (2045407)------------------------------
% 76.48/11.87  % (2045407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.48/11.87  % (2045407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.48/11.87  % (2045407)CaDiCaL version: 2.1.3
% 76.48/11.87  % (2045407)Termination reason: Instruction limit
% 76.48/11.87  % (2045407)Termination phase: Saturation
% 76.48/11.87  % (2045407)Time elapsed: 2.452 s
% 76.48/11.87  % (2045407)Peak memory usage: 141 MB
% 76.48/11.87  % (2045407)Instructions burned: 2350 (million)
% 76.48/11.87  % (2045444)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2655213723:i=14155:bd=all_2965 on theBenchmark for (2965ds/14155Mi)
% 76.48/11.87  % (2045445)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3274500422:i=667:av=off:fsr=off_2965 on theBenchmark for (2965ds/667Mi)
% 76.48/11.87  % (2045445)Refutation not found, incomplete strategy
% 76.48/11.87  % (2045445)------------------------------
% 76.48/11.87  % (2045445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.48/11.87  % (2045445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.48/11.87  % (2045445)CaDiCaL version: 2.1.3
% 76.48/11.87  % (2045445)Termination reason: Refutation not found, incomplete strategy
% 76.48/11.87  % (2045445)Time elapsed: 0.003 s
% 76.48/11.87  % (2045445)Peak memory usage: 88 MB
% 76.48/11.87  % (2045445)Instructions burned: 1 (million)
% 76.48/11.87  % (2045445)------------------------------
% 76.48/11.87  % (2045445)------------------------------
% 76.48/11.87  % (2045448)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=3418638692:s2a=on:i=185:s2at=1.8:fdi=4_2958 on theBenchmark for (2958ds/185Mi)
% 76.48/11.87  % (2045448)Instruction limit reached! 
% 76.48/11.87  % (2045448)------------------------------
% 76.48/11.87  % (2045448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.48/11.87  % (2045448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.48/11.87  % (2045448)CaDiCaL version: 2.1.3
% 76.48/11.87  % (2045448)Termination reason: Instruction limit
% 76.48/11.87  % (2045448)Termination phase: Saturation
% 76.48/11.87  % (2045448)Time elapsed: 0.178 s
% 76.48/11.87  % (2045448)Peak memory usage: 91 MB
% 76.48/11.87  % (2045448)Instructions burned: 185 (million)
% 76.48/11.87  % (2045454)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3570817486:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2953 on theBenchmark for (2953ds/193Mi)
% 76.48/11.87  % (2045454)Instruction limit reached! 
% 76.48/11.87  % (2045454)------------------------------
% 76.48/11.87  % (2045454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.48/11.87  % (2045454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.48/11.87  % (2045454)CaDiCaL version: 2.1.3
% 76.48/11.87  % (2045454)Termination reason: Instruction limit
% 76.48/11.87  % (2045454)Termination phase: Saturation
% 76.48/11.87  % (2045454)Time elapsed: 0.200 s
% 76.48/11.87  % (2045454)Peak memory usage: 92 MB
% 76.48/11.87  % (2045454)Instructions burned: 193 (million)
% 76.48/11.87  % (2045460)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1114834107:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2949 on theBenchmark for (2949ds/4850Mi)
% 76.48/11.87  % (2045421)Instruction limit reached! 
% 76.48/11.87  % (2045421)------------------------------
% 76.48/11.87  % (2045421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.48/11.87  % (2045421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.48/11.87  % (2045421)CaDiCaL version: 2.1.3
% 76.48/11.87  % (2045421)Termination reason: Instruction limit
% 76.48/11.87  % (2045421)Termination phase: Saturation
% 76.48/11.87  % (2045421)Time elapsed: 5.189 s
% 76.48/11.87  % (2045421)Peak memory usage: 161 MB
% 76.48/11.87  % (2045421)Instructions burned: 5203 (million)
% 76.48/11.87  % (2045440)Instruction limit reached! 
% 76.48/11.87  % (2045440)------------------------------
% 76.48/11.87  % (2045440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.48/11.87  % (2045440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.48/11.87  % (2045440)CaDiCaL version: 2.1.3
% 76.48/11.87  % (2045440)Termination reason: Instruction limit
% 76.48/11.87  % (2045440)Termination phase: Saturation
% 76.48/11.87  % (2045440)Time elapsed: 3.646 s
% 76.48/11.87  % (2045440)Peak memory usage: 156 MB
% 76.48/11.87  % (2045440)Instructions burned: 6061 (million)
% 76.48/11.87  % (2045462)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=997010043:i=12111:sd=1:ss=included_2931 on theBenchmark for (2931ds/12111Mi)
% 76.48/11.87  % (2045463)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3579602214:i=319:kws=precedence:fsr=off_2930 on theBenchmark for (2930ds/319Mi)
% 76.48/11.87  % (2045463)Instruction limit reached! 
% 76.48/11.87  % (2045463)------------------------------
% 76.48/11.87  % (2045463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.48/11.87  % (2045463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.48/11.87  % (2045463)CaDiCaL version: 2.1.3
% 76.48/11.87  % (2045463)Termination reason: Instruction limit
% 76.48/11.87  % (2045463)Termination phase: Saturation
% 76.48/11.87  % (2045463)Time elapsed: 0.171 s
% 76.48/11.87  % (2045463)Peak memory usage: 93 MB
% 76.48/11.87  % (2045463)Instructions burned: 319 (million)
% 76.48/11.87  % (2045466)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3327508862:i=2064:ep=RST_2926 on theBenchmark for (2926ds/2064Mi)
% 76.48/11.87  % (2045466)Refutation not found, incomplete strategy
% 76.48/11.87  % (2045466)------------------------------
% 76.48/11.87  % (2045466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.48/11.87  % (2045466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.48/11.87  % (2045466)CaDiCaL version: 2.1.3
% 76.48/11.87  % (2045466)Termination reason: Refutation not found, incomplete strategy
% 76.48/11.87  % (2045466)Time elapsed: 0.001 s
% 76.48/11.87  % (2045466)Peak memory usage: 88 MB
% 76.48/11.87  % (2045466)Instructions burned: 1 (million)
% 76.48/11.87  % (2045466)------------------------------
% 76.48/11.87  % (2045466)------------------------------
% 76.48/11.87  % (2045468)dis-1011_128_sil=32000:random_seed=890588439:i=3706:ep=RST:av=off_2921 on theBenchmark for (2921ds/3706Mi)
% 76.48/11.87  % (2045460)Instruction limit reached! 
% 76.48/11.87  % (2045460)------------------------------
% 76.48/11.87  % (2045460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.48/11.87  % (2045460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.48/11.87  % (2045460)CaDiCaL version: 2.1.3
% 76.48/11.87  % (2045460)Termination reason: Instruction limit
% 76.48/11.87  % (2045460)Termination phase: Saturation
% 76.48/11.87  % (2045460)Time elapsed: 4.040 s
% 76.48/11.87  % (2045460)Peak memory usage: 97 MB
% 76.48/11.87  % (2045460)Instructions burned: 4850 (million)
% 76.48/11.87  % (2045468)Instruction limit reached! 
% 76.48/11.87  % (2045468)------------------------------
% 76.48/11.87  % (2045468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.48/11.87  % (2045468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.48/11.87  % (2045468)CaDiCaL version: 2.1.3
% 76.48/11.87  % (2045468)Termination reason: Instruction limit
% 76.48/11.87  % (2045468)Termination phase: Saturation
% 76.48/11.87  % (2045468)Time elapsed: 1.518 s
% 76.48/11.87  % (2045468)Peak memory usage: 95 MB
% 76.48/11.87  % (2045468)Instructions burned: 3708 (million)
% 76.48/11.87  % (2045470)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=682492054:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2906 on theBenchmark for (2906ds/757Mi)
% 76.48/11.87  % (2045470)Refutation not found, incomplete strategy
% 76.48/11.87  % (2045470)------------------------------
% 76.48/11.87  % (2045470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.48/11.87  % (2045470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.48/11.87  % (2045470)CaDiCaL version: 2.1.3
% 76.48/11.87  % (2045470)Termination reason: Refutation not found, incomplete strategy
% 76.48/11.87  % (2045470)Time elapsed: 0.003 s
% 76.48/11.87  % (2045470)Peak memory usage: 88 MB
% 76.48/11.87  % (2045470)Instructions burned: 1 (million)
% 76.48/11.87  % (2045471)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=53049353:i=13913:ss=axioms:sgt=8_2904 on theBenchmark for (2904ds/13913Mi)
% 76.48/11.87  % (2045470)------------------------------
% 76.48/11.87  % (2045470)------------------------------
% 76.48/11.87  % (2045474)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2364167020:i=9925:aac=none_2899 on theBenchmark for (2899ds/9925Mi)
% 76.48/11.87  % (2045385)First to succeed.
% 76.48/11.87  % (2045385)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2045378"
% 76.48/11.87  % (2045385)Refutation found. Thanks to Tanya!
% 76.48/11.87  % SZS status Theorem for theBenchmark
% 76.48/11.87  % SZS output start Proof for theBenchmark
% See solution above
% 77.90/12.07  % (2045385)------------------------------
% 77.90/12.07  % (2045385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.90/12.07  % (2045385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.90/12.07  % (2045385)CaDiCaL version: 2.1.3
% 77.90/12.07  % (2045385)Termination reason: Refutation
% 77.90/12.07  % (2045385)Time elapsed: 10.198 s
% 77.90/12.07  % (2045385)Peak memory usage: 195 MB
% 77.90/12.07  % (2045385)Instructions burned: 9711 (million)
% 77.90/12.07  % (2045385)------------------------------
% 77.90/12.07  % (2045385)------------------------------
% 77.90/12.07  % (2045378)Success in time 10.894 s
% 77.90/12.07  % Vampire exiting
%------------------------------------------------------------------------------