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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEV560+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/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 12:58:20 PM UTC 2026

% Result   : Theorem 7.70s 2.22s
% Output   : Refutation 10.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   46
% Syntax   : Number of formulae    :  338 (  92 unt;  37 def)
%            Number of atoms       :  722 ( 129 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  644 ( 260   ~; 341   |;  16   &)
%                                         (  25 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :   10 (   1 avg)
%            Number of predicates  :   24 (  22 usr;  20 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  19 con; 0-2 aty)
%            Number of variables   :  137 (   0 sgn 132   !;   5   ?)

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

fof(f3,axiom,
    ! [X0,X1] :
      ( disj(X0,X1)
    <=> ~ ? [X2] :
            ( mem(X2,X0)
            & mem(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',disj_def) ).

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

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

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

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

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

fof(f26,conjecture,
    disj(a(n(u(n(e),n(s(n(e))))),a(n(e),n(n(e)))),a(s(p(s(n(e)))),n(n(n(e))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',disj_647_2080) ).

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

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

fof(f29,plain,
    ! [X0,X1] :
      ( ~ ? [X2] :
            ( mem(X2,X0)
            & mem(X2,X1) )
     => disj(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f3]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( subq(X0,X1)
    <=> ! [X2] :
          ( mem(X2,X1)
          | ~ mem(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( disj(X0,X1)
      | ? [X2] :
          ( mem(X2,X0)
          & mem(X2,X1) ) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f34,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,[],[f30]) ).

fof(f35,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,[],[f34]) ).

fof(f36,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))],[f35]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( disj(X0,X1)
      | ( mem(sK1(X0,X1),X0)
        & mem(sK1(X0,X1),X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f33]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ( mem(X0,s(X1))
        | X0 != X1 )
      & ( X0 = X1
        | ~ mem(X0,s(X1)) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f39,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(f40,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,[],[f39]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ( mem(X0,p(X1))
        | ~ subq(X0,X1) )
      & ( subq(X0,X1)
        | ~ mem(X0,p(X1)) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f44,plain,
    ! [X3,X0,X1] :
      ( ~ mem(X3,X0)
      | mem(X3,X1)
      | ~ subq(X0,X1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( mem(sK0(X0,X1),X0)
      | subq(X0,X1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ mem(sK0(X0,X1),X1)
      | subq(X0,X1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( mem(sK1(X0,X1),X1)
      | disj(X0,X1) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( mem(sK1(X0,X1),X0)
      | disj(X0,X1) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f50,plain,
    ! [X0] : ~ mem(X0,e),
    inference(cnf_transformation,[],[f4]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ mem(X0,s(X1))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( mem(X0,s(X1))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,u(X1,X2))
      | mem(X0,X2)
      | mem(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f54,plain,
    ! [X2,X0,X1] :
      ( mem(X0,u(X1,X2))
      | ~ mem(X0,X2) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f55,plain,
    ! [X2,X0,X1] :
      ( mem(X0,u(X1,X2))
      | ~ mem(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f59,plain,
    ! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
    inference(cnf_transformation,[],[f8]) ).

fof(f60,plain,
    ! [X0] : n(X0) = a(X0,X0),
    inference(cnf_transformation,[],[f9]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ mem(X0,p(X1))
      | subq(X0,X1) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( mem(X0,p(X1))
      | ~ subq(X0,X1) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f63,plain,
    ~ disj(a(n(u(n(e),n(s(n(e))))),a(n(e),n(n(e)))),a(s(p(s(n(e)))),n(n(n(e))))),
    inference(cnf_transformation,[],[f28]) ).

fof(f64,plain,
    ! [X0] : n(X0) = u(X0,s(X0)),
    inference(definition_unfolding,[],[f60,f59]) ).

fof(f65,plain,
    ~ disj(u(u(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))),s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(p(s(u(e,s(e))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
    inference(definition_unfolding,[],[f63,f59,f64,f64,f64,f64,f59,f64,f64,f64,f59,f64,f64,f64,f64]) ).

fof(f66,plain,
    ! [X1] : mem(X1,s(X1)),
    inference(equality_resolution,[],[f52]) ).

fof(f67,definition,
    sF2 = s(e),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f68,plain,
    s(e) = sF2,
    inference(reorient_equations,[],[f67]) ).

fof(f69,definition,
    sF3 = u(e,sF2),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f70,plain,
    u(e,sF2) = sF3,
    inference(reorient_equations,[],[f69]) ).

fof(f71,definition,
    sF4 = s(sF3),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f72,plain,
    s(sF3) = sF4,
    inference(reorient_equations,[],[f71]) ).

fof(f73,definition,
    sF5 = s(sF4),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f74,plain,
    s(sF4) = sF5,
    inference(reorient_equations,[],[f73]) ).

fof(f75,definition,
    sF6 = u(sF4,sF5),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f76,plain,
    u(sF4,sF5) = sF6,
    inference(reorient_equations,[],[f75]) ).

fof(f77,definition,
    sF7 = u(sF3,sF6),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f78,plain,
    u(sF3,sF6) = sF7,
    inference(reorient_equations,[],[f77]) ).

fof(f79,definition,
    sF8 = s(sF7),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f80,plain,
    s(sF7) = sF8,
    inference(reorient_equations,[],[f79]) ).

fof(f81,definition,
    sF9 = u(sF7,sF8),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f82,plain,
    u(sF7,sF8) = sF9,
    inference(reorient_equations,[],[f81]) ).

fof(f83,definition,
    sF10 = u(sF3,sF4),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f84,plain,
    u(sF3,sF4) = sF10,
    inference(reorient_equations,[],[f83]) ).

fof(f85,definition,
    sF11 = s(sF10),
    introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).

fof(f86,plain,
    s(sF10) = sF11,
    inference(reorient_equations,[],[f85]) ).

fof(f87,definition,
    sF12 = u(sF3,sF11),
    introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).

fof(f88,plain,
    u(sF3,sF11) = sF12,
    inference(reorient_equations,[],[f87]) ).

fof(f89,definition,
    sF13 = s(sF12),
    introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).

fof(f90,plain,
    s(sF12) = sF13,
    inference(reorient_equations,[],[f89]) ).

fof(f91,definition,
    sF14 = u(sF9,sF13),
    introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).

fof(f92,plain,
    u(sF9,sF13) = sF14,
    inference(reorient_equations,[],[f91]) ).

fof(f93,definition,
    sF15 = p(sF4),
    introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).

fof(f94,plain,
    p(sF4) = sF15,
    inference(reorient_equations,[],[f93]) ).

fof(f95,definition,
    sF16 = s(sF15),
    introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).

fof(f96,plain,
    s(sF15) = sF16,
    inference(reorient_equations,[],[f95]) ).

fof(f97,definition,
    sF17 = u(sF10,sF11),
    introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).

fof(f98,plain,
    u(sF10,sF11) = sF17,
    inference(reorient_equations,[],[f97]) ).

fof(f99,definition,
    sF18 = s(sF17),
    introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).

fof(f100,plain,
    s(sF17) = sF18,
    inference(reorient_equations,[],[f99]) ).

fof(f101,definition,
    sF19 = u(sF16,sF18),
    introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).

fof(f102,plain,
    u(sF16,sF18) = sF19,
    inference(reorient_equations,[],[f101]) ).

fof(f103,plain,
    ~ disj(sF14,sF19),
    inference(definition_folding,[],[f65,f102,f100,f98,f86,f84,f72,f70,f68,f70,f68,f84,f72,f70,f68,f70,f68,f96,f94,f72,f70,f68,f92,f90,f88,f86,f84,f72,f70,f68,f70,f68,f70,f68,f82,f80,f78,f76,f74,f72,f70,f68,f72,f70,f68,f70,f68,f78,f76,f74,f72,f70,f68,f72,f70,f68,f70,f68]) ).

fof(f104,plain,
    mem(e,sF2),
    inference(superposition,[],[f66,f68]) ).

fof(f105,plain,
    mem(sF3,sF4),
    inference(superposition,[],[f66,f72]) ).

fof(f108,plain,
    mem(sF10,sF11),
    inference(superposition,[],[f66,f86]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ mem(X0,sF2)
      | mem(X0,sF3) ),
    inference(superposition,[],[f54,f70]) ).

fof(f113,plain,
    ! [X0] :
      ( ~ mem(X0,sF4)
      | mem(X0,sF10) ),
    inference(superposition,[],[f54,f84]) ).

fof(f114,plain,
    ! [X0] :
      ( ~ mem(X0,sF6)
      | mem(X0,sF7) ),
    inference(superposition,[],[f54,f78]) ).

fof(f124,plain,
    ! [X0] :
      ( ~ mem(X0,sF3)
      | mem(X0,sF10) ),
    inference(superposition,[],[f55,f84]) ).

fof(f126,plain,
    ! [X0] :
      ( ~ mem(X0,sF4)
      | mem(X0,sF6) ),
    inference(superposition,[],[f55,f76]) ).

fof(f136,plain,
    ! [X0] :
      ( ~ mem(X0,sF15)
      | subq(X0,sF4) ),
    inference(superposition,[],[f61,f94]) ).

fof(f138,plain,
    ! [X0] :
      ( ~ mem(X0,sF11)
      | mem(X0,sF12) ),
    inference(superposition,[],[f54,f88]) ).

fof(f139,plain,
    ! [X0] :
      ( ~ mem(X0,sF10)
      | mem(X0,sF17) ),
    inference(superposition,[],[f55,f98]) ).

fof(f140,plain,
    ! [X0] :
      ( ~ mem(X0,sF11)
      | mem(X0,sF17) ),
    inference(superposition,[],[f54,f98]) ).

fof(f144,plain,
    ! [X0] :
      ( ~ mem(X0,sF2)
      | e = X0 ),
    inference(superposition,[],[f51,f68]) ).

fof(f145,plain,
    ! [X0] :
      ( ~ mem(X0,sF4)
      | sF3 = X0 ),
    inference(superposition,[],[f51,f72]) ).

fof(f146,plain,
    ! [X0] :
      ( ~ mem(X0,sF5)
      | sF4 = X0 ),
    inference(superposition,[],[f51,f74]) ).

fof(f147,plain,
    ! [X0] :
      ( ~ mem(X0,sF8)
      | sF7 = X0 ),
    inference(superposition,[],[f51,f80]) ).

fof(f148,plain,
    ! [X0] :
      ( ~ mem(X0,sF11)
      | sF10 = X0 ),
    inference(superposition,[],[f51,f86]) ).

fof(f149,plain,
    ! [X0] :
      ( ~ mem(X0,sF13)
      | sF12 = X0 ),
    inference(superposition,[],[f51,f90]) ).

fof(f150,plain,
    ! [X0] :
      ( ~ mem(X0,sF16)
      | sF15 = X0 ),
    inference(superposition,[],[f51,f96]) ).

fof(f151,plain,
    ! [X0] :
      ( ~ mem(X0,sF18)
      | sF17 = X0 ),
    inference(superposition,[],[f51,f100]) ).

fof(f154,plain,
    mem(e,sF3),
    inference(resolution,[],[f112,f104]) ).

fof(f164,plain,
    mem(sF3,sF10),
    inference(resolution,[],[f113,f105]) ).

fof(f169,plain,
    mem(e,sF10),
    inference(resolution,[],[f124,f154]) ).

fof(f179,plain,
    ! [X0] :
      ( ~ mem(X0,sF3)
      | mem(X0,sF2)
      | mem(X0,e) ),
    inference(superposition,[],[f53,f70]) ).

fof(f181,plain,
    ! [X0] :
      ( ~ mem(X0,sF7)
      | mem(X0,sF6)
      | mem(X0,sF3) ),
    inference(superposition,[],[f53,f78]) ).

fof(f182,plain,
    ! [X0] :
      ( ~ mem(X0,sF12)
      | mem(X0,sF11)
      | mem(X0,sF3) ),
    inference(superposition,[],[f53,f88]) ).

fof(f183,plain,
    ! [X0] :
      ( ~ mem(X0,sF6)
      | mem(X0,sF5)
      | mem(X0,sF4) ),
    inference(superposition,[],[f53,f76]) ).

fof(f184,plain,
    ! [X0] :
      ( ~ mem(X0,sF9)
      | mem(X0,sF8)
      | mem(X0,sF7) ),
    inference(superposition,[],[f53,f82]) ).

fof(f185,plain,
    ! [X0] :
      ( ~ mem(X0,sF14)
      | mem(X0,sF13)
      | mem(X0,sF9) ),
    inference(superposition,[],[f53,f92]) ).

fof(f187,plain,
    ! [X0] :
      ( ~ mem(X0,sF19)
      | mem(X0,sF18)
      | mem(X0,sF16) ),
    inference(superposition,[],[f53,f102]) ).

fof(f188,plain,
    ! [X0] :
      ( ~ mem(X0,sF3)
      | mem(X0,sF2) ),
    inference(forward_subsumption_resolution,[],[f179,f50]) ).

fof(f193,plain,
    mem(sF3,sF6),
    inference(resolution,[],[f126,f105]) ).

fof(f197,plain,
    ! [X0] :
      ( mem(sK1(X0,sF19),sF18)
      | mem(sK1(X0,sF19),sF16)
      | disj(X0,sF19) ),
    inference(resolution,[],[f187,f48]) ).

fof(f200,plain,
    ! [X0] :
      ( mem(sK1(sF14,X0),sF13)
      | mem(sK1(sF14,X0),sF9)
      | disj(sF14,X0) ),
    inference(resolution,[],[f185,f49]) ).

fof(f201,plain,
    ! [X0] :
      ( subq(X0,X0)
      | subq(X0,X0) ),
    inference(resolution,[],[f45,f46]) ).

fof(f202,plain,
    ! [X0] : subq(e,X0),
    inference(resolution,[],[f45,f50]) ).

fof(f221,plain,
    ! [X0] : subq(X0,X0),
    inference(duplicate_literal_removal,[],[f201]) ).

fof(f225,plain,
    mem(sF10,sF12),
    inference(resolution,[],[f138,f108]) ).

fof(f229,plain,
    mem(sF10,sF17),
    inference(resolution,[],[f140,f108]) ).

fof(f250,plain,
    ! [X0] :
      ( ~ subq(X0,sF4)
      | mem(X0,sF15) ),
    inference(superposition,[],[f62,f94]) ).

fof(f298,plain,
    mem(sF3,sF7),
    inference(resolution,[],[f193,f114]) ).

fof(f307,plain,
    mem(e,sF17),
    inference(resolution,[],[f139,f169]) ).

fof(f311,plain,
    mem(sF3,sF17),
    inference(resolution,[],[f139,f164]) ).

fof(f334,plain,
    ! [X0] :
      ( ~ subq(sF3,X0)
      | mem(e,X0) ),
    inference(resolution,[],[f44,f154]) ).

fof(f337,plain,
    ! [X0] :
      ( ~ subq(sF10,X0)
      | mem(e,X0) ),
    inference(resolution,[],[f44,f169]) ).

fof(f468,plain,
    ! [X0] :
      ( mem(sK1(sF14,X0),sF9)
      | disj(sF14,X0)
      | sF12 = sK1(sF14,X0) ),
    inference(resolution,[],[f200,f149]) ).

fof(f472,plain,
    ! [X0] :
      ( mem(sK1(sF14,X0),sF8)
      | sF12 = sK1(sF14,X0)
      | disj(sF14,X0)
      | mem(sK1(sF14,X0),sF7) ),
    inference(resolution,[],[f468,f184]) ).

fof(f475,plain,
    ! [X0] :
      ( mem(sK1(sF14,X0),sF7)
      | disj(sF14,X0)
      | sF12 = sK1(sF14,X0)
      | sF7 = sK1(sF14,X0) ),
    inference(resolution,[],[f472,f147]) ).

fof(f479,plain,
    ! [X0] :
      ( mem(sK1(sF14,X0),sF6)
      | sF12 = sK1(sF14,X0)
      | sF7 = sK1(sF14,X0)
      | disj(sF14,X0)
      | mem(sK1(sF14,X0),sF3) ),
    inference(resolution,[],[f475,f181]) ).

fof(f482,plain,
    ! [X0] :
      ( mem(sK1(sF14,X0),sF5)
      | sF7 = sK1(sF14,X0)
      | disj(sF14,X0)
      | mem(sK1(sF14,X0),sF3)
      | sF12 = sK1(sF14,X0)
      | mem(sK1(sF14,X0),sF4) ),
    inference(resolution,[],[f479,f183]) ).

fof(f509,plain,
    ! [X0] :
      ( mem(sK1(X0,sF19),sF16)
      | disj(X0,sF19)
      | sF17 = sK1(X0,sF19) ),
    inference(resolution,[],[f197,f151]) ).

fof(f513,plain,
    ! [X0] :
      ( disj(X0,sF19)
      | sF17 = sK1(X0,sF19)
      | sF15 = sK1(X0,sF19) ),
    inference(resolution,[],[f509,f150]) ).

fof(f516,plain,
    ( sF17 = sK1(sF14,sF19)
    | sF15 = sK1(sF14,sF19) ),
    inference(resolution,[],[f513,f103]) ).

fof(f518,definition,
    ( spl20_15
  <=> sF15 = sK1(sF14,sF19) ),
    introduced(definition,[new_symbols(definition,[spl20_15])],[avatar_definition]) ).

fof(f520,plain,
    ( sF15 = sK1(sF14,sF19)
    | ~ spl20_15 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f522,definition,
    ( spl20_16
  <=> sF17 = sK1(sF14,sF19) ),
    introduced(definition,[new_symbols(definition,[spl20_16])],[avatar_definition]) ).

fof(f524,plain,
    ( sF17 = sK1(sF14,sF19)
    | ~ spl20_16 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f525,plain,
    ( spl20_15
    | spl20_16 ),
    inference(avatar_split_clause,[],[f516,f522,f518]) ).

fof(f551,definition,
    ( spl20_19
  <=> sF12 = sF15 ),
    introduced(definition,[new_symbols(definition,[spl20_19])],[avatar_definition]) ).

fof(f552,plain,
    ( sF12 != sF15
    | spl20_19 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f553,plain,
    ( sF12 = sF15
    | ~ spl20_19 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f565,definition,
    ( spl20_22
  <=> sF7 = sF15 ),
    introduced(definition,[new_symbols(definition,[spl20_22])],[avatar_definition]) ).

fof(f566,plain,
    ( sF7 != sF15
    | spl20_22 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f567,plain,
    ( sF7 = sF15
    | ~ spl20_22 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f570,definition,
    ( spl20_23
  <=> mem(sF15,sF3) ),
    introduced(definition,[new_symbols(definition,[spl20_23])],[avatar_definition]) ).

fof(f571,plain,
    ( ~ mem(sF15,sF3)
    | spl20_23 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f572,plain,
    ( mem(sF15,sF3)
    | ~ spl20_23 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f602,definition,
    ( spl20_27
  <=> sF12 = sF17 ),
    introduced(definition,[new_symbols(definition,[spl20_27])],[avatar_definition]) ).

fof(f603,plain,
    ( sF12 != sF17
    | spl20_27 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f604,plain,
    ( sF12 = sF17
    | ~ spl20_27 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f616,definition,
    ( spl20_30
  <=> sF7 = sF17 ),
    introduced(definition,[new_symbols(definition,[spl20_30])],[avatar_definition]) ).

fof(f617,plain,
    ( sF7 != sF17
    | spl20_30 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f618,plain,
    ( sF7 = sF17
    | ~ spl20_30 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f621,definition,
    ( spl20_31
  <=> mem(sF17,sF3) ),
    introduced(definition,[new_symbols(definition,[spl20_31])],[avatar_definition]) ).

fof(f623,plain,
    ( mem(sF17,sF3)
    | ~ spl20_31 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f645,plain,
    ( ! [X0] :
        ( ~ mem(X0,sF12)
        | subq(X0,sF4) )
    | ~ spl20_19 ),
    inference(superposition,[],[f136,f553]) ).

fof(f698,plain,
    ( subq(sF10,sF4)
    | ~ spl20_19 ),
    inference(resolution,[],[f645,f225]) ).

fof(f708,definition,
    ( spl20_36
  <=> sF4 = sF10 ),
    introduced(definition,[new_symbols(definition,[spl20_36])],[avatar_definition]) ).

fof(f710,plain,
    ( sF4 = sF10
    | ~ spl20_36 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f755,plain,
    mem(e,sF15),
    inference(resolution,[],[f250,f202]) ).

fof(f800,plain,
    ( mem(sF15,sF2)
    | ~ spl20_23 ),
    inference(resolution,[],[f572,f188]) ).

fof(f822,plain,
    ( e = sF15
    | ~ spl20_23 ),
    inference(resolution,[],[f800,f144]) ).

fof(f825,plain,
    ( ! [X0] : ~ mem(X0,sF15)
    | ~ spl20_23 ),
    inference(superposition,[],[f50,f822]) ).

fof(f833,plain,
    ( ! [X0] : subq(sF15,X0)
    | ~ spl20_23 ),
    inference(superposition,[],[f202,f822]) ).

fof(f864,plain,
    ( mem(sF15,sF15)
    | ~ spl20_23 ),
    inference(resolution,[],[f833,f250]) ).

fof(f865,plain,
    ( $false
    | ~ spl20_23 ),
    inference(forward_subsumption_resolution,[],[f864,f825]) ).

fof(f866,plain,
    ~ spl20_23,
    inference(avatar_contradiction_clause,[],[f865]) ).

fof(f935,definition,
    ( spl20_50
  <=> mem(sF17,sF4) ),
    introduced(definition,[new_symbols(definition,[spl20_50])],[avatar_definition]) ).

fof(f936,plain,
    ( mem(sF17,sF4)
    | ~ spl20_50 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f937,plain,
    ( ~ mem(sF17,sF4)
    | spl20_50 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f944,plain,
    ( mem(sF15,sF5)
    | sF7 = sF15
    | disj(sF14,sF19)
    | mem(sF15,sF3)
    | sF12 = sF15
    | mem(sF15,sF4)
    | ~ spl20_15 ),
    inference(superposition,[],[f482,f520]) ).

fof(f983,plain,
    ( ! [X0] :
        ( ~ mem(X0,sF7)
        | subq(X0,sF4) )
    | ~ spl20_22 ),
    inference(superposition,[],[f136,f567]) ).

fof(f1030,plain,
    ( subq(sF3,sF4)
    | ~ spl20_22 ),
    inference(resolution,[],[f983,f298]) ).

fof(f1054,plain,
    ( mem(sF15,sF5)
    | disj(sF14,sF19)
    | mem(sF15,sF3)
    | sF12 = sF15
    | mem(sF15,sF4)
    | ~ spl20_15
    | spl20_22 ),
    inference(forward_subsumption_resolution,[],[f944,f566]) ).

fof(f1057,plain,
    ( mem(sF15,sF5)
    | mem(sF15,sF3)
    | sF12 = sF15
    | mem(sF15,sF4)
    | ~ spl20_15
    | spl20_22 ),
    inference(forward_subsumption_resolution,[],[f1054,f103]) ).

fof(f1058,plain,
    ( mem(sF15,sF5)
    | sF12 = sF15
    | mem(sF15,sF4)
    | ~ spl20_15
    | spl20_22
    | spl20_23 ),
    inference(forward_subsumption_resolution,[],[f1057,f571]) ).

fof(f1059,plain,
    ( mem(sF15,sF5)
    | mem(sF15,sF4)
    | ~ spl20_15
    | spl20_19
    | spl20_22
    | spl20_23 ),
    inference(forward_subsumption_resolution,[],[f1058,f552]) ).

fof(f1061,definition,
    ( spl20_57
  <=> mem(sF15,sF4) ),
    introduced(definition,[new_symbols(definition,[spl20_57])],[avatar_definition]) ).

fof(f1063,plain,
    ( mem(sF15,sF4)
    | ~ spl20_57 ),
    inference(avatar_component_clause,[],[f1061]) ).

fof(f1065,definition,
    ( spl20_58
  <=> mem(sF15,sF5) ),
    introduced(definition,[new_symbols(definition,[spl20_58])],[avatar_definition]) ).

fof(f1067,plain,
    ( mem(sF15,sF5)
    | ~ spl20_58 ),
    inference(avatar_component_clause,[],[f1065]) ).

fof(f1068,plain,
    ( spl20_57
    | spl20_58
    | ~ spl20_15
    | spl20_19
    | spl20_22
    | spl20_23 ),
    inference(avatar_split_clause,[],[f1059,f570,f565,f551,f518,f1065,f1061]) ).

fof(f1069,plain,
    ( mem(sF17,sF5)
    | sF7 = sF17
    | disj(sF14,sF19)
    | mem(sF17,sF3)
    | sF12 = sF17
    | mem(sF17,sF4)
    | ~ spl20_16 ),
    inference(superposition,[],[f482,f524]) ).

fof(f1089,plain,
    ( mem(sF3,sF12)
    | ~ spl20_27 ),
    inference(superposition,[],[f311,f604]) ).

fof(f1108,plain,
    ( mem(sF10,sF7)
    | ~ spl20_30 ),
    inference(superposition,[],[f229,f618]) ).

fof(f1216,plain,
    ( mem(sF10,sF6)
    | mem(sF10,sF3)
    | ~ spl20_30 ),
    inference(resolution,[],[f1108,f181]) ).

fof(f1220,definition,
    ( spl20_63
  <=> mem(sF10,sF3) ),
    introduced(definition,[new_symbols(definition,[spl20_63])],[avatar_definition]) ).

fof(f1221,plain,
    ( ~ mem(sF10,sF3)
    | spl20_63 ),
    inference(avatar_component_clause,[],[f1220]) ).

fof(f1222,plain,
    ( mem(sF10,sF3)
    | ~ spl20_63 ),
    inference(avatar_component_clause,[],[f1220]) ).

fof(f1224,definition,
    ( spl20_64
  <=> mem(sF10,sF6) ),
    introduced(definition,[new_symbols(definition,[spl20_64])],[avatar_definition]) ).

fof(f1226,plain,
    ( mem(sF10,sF6)
    | ~ spl20_64 ),
    inference(avatar_component_clause,[],[f1224]) ).

fof(f1227,plain,
    ( spl20_63
    | spl20_64
    | ~ spl20_30 ),
    inference(avatar_split_clause,[],[f1216,f616,f1224,f1220]) ).

fof(f1234,plain,
    ( mem(sF10,sF2)
    | ~ spl20_63 ),
    inference(resolution,[],[f1222,f188]) ).

fof(f1236,plain,
    ( mem(sF10,sF10)
    | ~ spl20_63 ),
    inference(resolution,[],[f1222,f124]) ).

fof(f1250,plain,
    ( e = sF10
    | ~ spl20_63 ),
    inference(resolution,[],[f1234,f144]) ).

fof(f1261,plain,
    ( ! [X0] : subq(sF10,X0)
    | ~ spl20_63 ),
    inference(superposition,[],[f202,f1250]) ).

fof(f1335,plain,
    ( mem(sF10,sF5)
    | mem(sF10,sF4)
    | ~ spl20_64 ),
    inference(resolution,[],[f1226,f183]) ).

fof(f1339,definition,
    ( spl20_65
  <=> mem(sF10,sF4) ),
    introduced(definition,[new_symbols(definition,[spl20_65])],[avatar_definition]) ).

fof(f1340,plain,
    ( ~ mem(sF10,sF4)
    | spl20_65 ),
    inference(avatar_component_clause,[],[f1339]) ).

fof(f1341,plain,
    ( mem(sF10,sF4)
    | ~ spl20_65 ),
    inference(avatar_component_clause,[],[f1339]) ).

fof(f1343,definition,
    ( spl20_66
  <=> mem(sF10,sF5) ),
    introduced(definition,[new_symbols(definition,[spl20_66])],[avatar_definition]) ).

fof(f1345,plain,
    ( mem(sF10,sF5)
    | ~ spl20_66 ),
    inference(avatar_component_clause,[],[f1343]) ).

fof(f1346,plain,
    ( spl20_65
    | spl20_66
    | ~ spl20_64 ),
    inference(avatar_split_clause,[],[f1335,f1224,f1343,f1339]) ).

fof(f1347,plain,
    ( sF3 = sF10
    | ~ spl20_65 ),
    inference(resolution,[],[f1341,f145]) ).

fof(f1351,plain,
    ( s(sF3) = sF11
    | ~ spl20_65 ),
    inference(superposition,[],[f86,f1347]) ).

fof(f1368,plain,
    ( sF4 = sF11
    | ~ spl20_65 ),
    inference(forward_demodulation,[],[f1351,f72]) ).

fof(f1424,plain,
    ( sF4 = sF10
    | ~ spl20_66 ),
    inference(resolution,[],[f1345,f146]) ).

fof(f1427,plain,
    ( spl20_36
    | ~ spl20_66 ),
    inference(avatar_split_clause,[],[f1424,f1343,f708]) ).

fof(f1433,plain,
    ( mem(e,sF4)
    | ~ spl20_36 ),
    inference(superposition,[],[f169,f710]) ).

fof(f1487,plain,
    ( e = sF3
    | ~ spl20_36 ),
    inference(resolution,[],[f1433,f145]) ).

fof(f1492,plain,
    ( ! [X0] : ~ mem(X0,sF3)
    | ~ spl20_36 ),
    inference(superposition,[],[f50,f1487]) ).

fof(f1493,plain,
    ( sF2 = s(sF3)
    | ~ spl20_36 ),
    inference(superposition,[],[f68,f1487]) ).

fof(f1506,plain,
    ( sF2 = sF4
    | ~ spl20_36 ),
    inference(forward_demodulation,[],[f1493,f72]) ).

fof(f1509,plain,
    ( ! [X0] :
        ( ~ mem(X0,sF4)
        | mem(X0,sF3) )
    | ~ spl20_36 ),
    inference(superposition,[],[f112,f1506]) ).

fof(f1512,plain,
    ( ! [X0] : ~ mem(X0,sF4)
    | ~ spl20_36 ),
    inference(forward_subsumption_resolution,[],[f1509,f1492]) ).

fof(f1517,plain,
    ( $false
    | ~ spl20_36 ),
    inference(resolution,[],[f1512,f1433]) ).

fof(f1523,plain,
    ~ spl20_36,
    inference(avatar_contradiction_clause,[],[f1517]) ).

fof(f1532,plain,
    ( mem(sF17,sF5)
    | disj(sF14,sF19)
    | mem(sF17,sF3)
    | sF12 = sF17
    | mem(sF17,sF4)
    | ~ spl20_16
    | spl20_30 ),
    inference(forward_subsumption_resolution,[],[f1069,f617]) ).

fof(f1538,plain,
    ( mem(sF17,sF5)
    | mem(sF17,sF3)
    | sF12 = sF17
    | mem(sF17,sF4)
    | ~ spl20_16
    | spl20_30 ),
    inference(forward_subsumption_resolution,[],[f1532,f103]) ).

fof(f1539,plain,
    ( mem(sF17,sF5)
    | mem(sF17,sF3)
    | mem(sF17,sF4)
    | ~ spl20_16
    | spl20_27
    | spl20_30 ),
    inference(forward_subsumption_resolution,[],[f1538,f603]) ).

fof(f1540,plain,
    ( mem(sF17,sF5)
    | mem(sF17,sF3)
    | ~ spl20_16
    | spl20_27
    | spl20_30
    | spl20_50 ),
    inference(forward_subsumption_resolution,[],[f1539,f937]) ).

fof(f1542,definition,
    ( spl20_67
  <=> mem(sF17,sF5) ),
    introduced(definition,[new_symbols(definition,[spl20_67])],[avatar_definition]) ).

fof(f1544,plain,
    ( mem(sF17,sF5)
    | ~ spl20_67 ),
    inference(avatar_component_clause,[],[f1542]) ).

fof(f1545,plain,
    ( spl20_31
    | spl20_67
    | ~ spl20_16
    | spl20_27
    | spl20_30
    | spl20_50 ),
    inference(avatar_split_clause,[],[f1540,f935,f616,f602,f522,f1542,f621]) ).

fof(f1548,plain,
    ( u(sF3,sF4) = sF12
    | ~ spl20_65 ),
    inference(superposition,[],[f88,f1368]) ).

fof(f1557,plain,
    ( sF10 = sF12
    | ~ spl20_65 ),
    inference(forward_demodulation,[],[f1548,f84]) ).

fof(f1559,plain,
    ( sF3 = sF12
    | ~ spl20_65 ),
    inference(forward_demodulation,[],[f1557,f1347]) ).

fof(f1564,plain,
    ( mem(sF10,sF3)
    | ~ spl20_65 ),
    inference(superposition,[],[f225,f1559]) ).

fof(f1570,plain,
    ( $false
    | spl20_63
    | ~ spl20_65 ),
    inference(forward_subsumption_resolution,[],[f1564,f1221]) ).

fof(f1571,plain,
    ( spl20_63
    | ~ spl20_65 ),
    inference(avatar_contradiction_clause,[],[f1570]) ).

fof(f1660,plain,
    ( ! [X0] :
        ( mem(sF10,X0)
        | ~ subq(sF10,X0) )
    | ~ spl20_63 ),
    inference(resolution,[],[f1236,f44]) ).

fof(f1661,plain,
    ( ! [X0] : mem(sF10,X0)
    | ~ spl20_63 ),
    inference(forward_subsumption_resolution,[],[f1660,f1261]) ).

fof(f1663,plain,
    ( $false
    | ~ spl20_63 ),
    inference(resolution,[],[f1661,f50]) ).

fof(f1702,plain,
    ~ spl20_63,
    inference(avatar_contradiction_clause,[],[f1663]) ).

fof(f1793,plain,
    ( sF4 = sF17
    | ~ spl20_67 ),
    inference(resolution,[],[f1544,f146]) ).

fof(f1799,plain,
    ( mem(sF10,sF4)
    | ~ spl20_67 ),
    inference(superposition,[],[f229,f1793]) ).

fof(f1811,plain,
    ( $false
    | spl20_65
    | ~ spl20_67 ),
    inference(forward_subsumption_resolution,[],[f1799,f1340]) ).

fof(f1812,plain,
    ( spl20_65
    | ~ spl20_67 ),
    inference(avatar_contradiction_clause,[],[f1811]) ).

fof(f1814,plain,
    ( sF3 = sF17
    | ~ spl20_50 ),
    inference(resolution,[],[f936,f145]) ).

fof(f1821,plain,
    ( mem(sF10,sF3)
    | ~ spl20_50 ),
    inference(superposition,[],[f229,f1814]) ).

fof(f1832,plain,
    ( $false
    | ~ spl20_50
    | spl20_63 ),
    inference(forward_subsumption_resolution,[],[f1821,f1221]) ).

fof(f1833,plain,
    ( ~ spl20_50
    | spl20_63 ),
    inference(avatar_contradiction_clause,[],[f1832]) ).

fof(f1880,plain,
    ( mem(sF3,sF11)
    | mem(sF3,sF3)
    | ~ spl20_27 ),
    inference(resolution,[],[f1089,f182]) ).

fof(f1883,definition,
    ( spl20_72
  <=> mem(sF3,sF3) ),
    introduced(definition,[new_symbols(definition,[spl20_72])],[avatar_definition]) ).

fof(f1884,plain,
    ( ~ mem(sF3,sF3)
    | spl20_72 ),
    inference(avatar_component_clause,[],[f1883]) ).

fof(f1885,plain,
    ( mem(sF3,sF3)
    | ~ spl20_72 ),
    inference(avatar_component_clause,[],[f1883]) ).

fof(f1887,definition,
    ( spl20_73
  <=> mem(sF3,sF11) ),
    introduced(definition,[new_symbols(definition,[spl20_73])],[avatar_definition]) ).

fof(f1889,plain,
    ( mem(sF3,sF11)
    | ~ spl20_73 ),
    inference(avatar_component_clause,[],[f1887]) ).

fof(f1890,plain,
    ( spl20_72
    | spl20_73
    | ~ spl20_27 ),
    inference(avatar_split_clause,[],[f1880,f602,f1887,f1883]) ).

fof(f1892,plain,
    ( mem(sF3,sF2)
    | ~ spl20_72 ),
    inference(resolution,[],[f1885,f188]) ).

fof(f1896,plain,
    ( e = sF3
    | ~ spl20_72 ),
    inference(resolution,[],[f1892,f144]) ).

fof(f1899,plain,
    ( ! [X0] : ~ mem(X0,sF3)
    | ~ spl20_72 ),
    inference(superposition,[],[f50,f1896]) ).

fof(f1900,plain,
    ( sF2 = s(sF3)
    | ~ spl20_72 ),
    inference(superposition,[],[f68,f1896]) ).

fof(f1912,plain,
    ( sF2 = sF4
    | ~ spl20_72 ),
    inference(forward_demodulation,[],[f1900,f72]) ).

fof(f1913,plain,
    ( sF3 = u(e,sF4)
    | ~ spl20_72 ),
    inference(superposition,[],[f70,f1912]) ).

fof(f1915,plain,
    ( ! [X0] :
        ( ~ mem(X0,sF4)
        | mem(X0,sF3) )
    | ~ spl20_72 ),
    inference(superposition,[],[f112,f1912]) ).

fof(f1919,plain,
    ( ! [X0] : ~ mem(X0,sF4)
    | ~ spl20_72 ),
    inference(forward_subsumption_resolution,[],[f1915,f1899]) ).

fof(f1921,plain,
    ( sF3 = u(sF3,sF4)
    | ~ spl20_72 ),
    inference(forward_demodulation,[],[f1913,f1896]) ).

fof(f1922,plain,
    ( sF3 = sF10
    | ~ spl20_72 ),
    inference(forward_demodulation,[],[f1921,f84]) ).

fof(f1923,plain,
    ( s(sF3) = sF11
    | ~ spl20_72 ),
    inference(superposition,[],[f86,f1922]) ).

fof(f1935,plain,
    ( sF4 = sF11
    | ~ spl20_72 ),
    inference(forward_demodulation,[],[f1923,f72]) ).

fof(f1939,plain,
    ( mem(sF10,sF4)
    | ~ spl20_72 ),
    inference(superposition,[],[f108,f1935]) ).

fof(f1943,plain,
    ( $false
    | ~ spl20_72 ),
    inference(forward_subsumption_resolution,[],[f1939,f1919]) ).

fof(f1944,plain,
    ~ spl20_72,
    inference(avatar_contradiction_clause,[],[f1943]) ).

fof(f1951,plain,
    ( sF3 = sF10
    | ~ spl20_73 ),
    inference(resolution,[],[f1889,f148]) ).

fof(f1959,plain,
    ( mem(sF3,sF3)
    | ~ spl20_73 ),
    inference(superposition,[],[f164,f1951]) ).

fof(f1965,plain,
    ( $false
    | spl20_72
    | ~ spl20_73 ),
    inference(forward_subsumption_resolution,[],[f1959,f1884]) ).

fof(f1966,plain,
    ( spl20_72
    | ~ spl20_73 ),
    inference(avatar_contradiction_clause,[],[f1965]) ).

fof(f2197,plain,
    ( mem(e,sF4)
    | ~ spl20_22 ),
    inference(resolution,[],[f334,f1030]) ).

fof(f2198,plain,
    ( e = sF3
    | ~ spl20_22 ),
    inference(resolution,[],[f2197,f145]) ).

fof(f2206,plain,
    ( mem(sF3,sF3)
    | ~ spl20_22 ),
    inference(superposition,[],[f154,f2198]) ).

fof(f2217,plain,
    ( $false
    | ~ spl20_22
    | spl20_72 ),
    inference(forward_subsumption_resolution,[],[f2206,f1884]) ).

fof(f2218,plain,
    ( ~ spl20_22
    | spl20_72 ),
    inference(avatar_contradiction_clause,[],[f2217]) ).

fof(f2231,plain,
    ( sF4 = sF15
    | ~ spl20_58 ),
    inference(resolution,[],[f1067,f146]) ).

fof(f2438,plain,
    ( mem(e,sF4)
    | ~ spl20_58 ),
    inference(superposition,[],[f755,f2231]) ).

fof(f2440,plain,
    ( e = sF3
    | ~ spl20_58 ),
    inference(resolution,[],[f2438,f145]) ).

fof(f2448,plain,
    ( mem(sF3,sF3)
    | ~ spl20_58 ),
    inference(superposition,[],[f154,f2440]) ).

fof(f2461,plain,
    ( $false
    | ~ spl20_58
    | spl20_72 ),
    inference(forward_subsumption_resolution,[],[f2448,f1884]) ).

fof(f2462,plain,
    ( ~ spl20_58
    | spl20_72 ),
    inference(avatar_contradiction_clause,[],[f2461]) ).

fof(f2513,plain,
    ( sF3 = sF15
    | ~ spl20_57 ),
    inference(resolution,[],[f1063,f145]) ).

fof(f2583,plain,
    mem(sF4,sF15),
    inference(resolution,[],[f221,f250]) ).

fof(f2611,plain,
    ( mem(sF4,sF3)
    | ~ spl20_57 ),
    inference(forward_demodulation,[],[f2583,f2513]) ).

fof(f2613,plain,
    ( mem(sF4,sF2)
    | ~ spl20_57 ),
    inference(resolution,[],[f2611,f188]) ).

fof(f2624,plain,
    ( e = sF4
    | ~ spl20_57 ),
    inference(resolution,[],[f2613,f144]) ).

fof(f2628,plain,
    ( sF2 = s(sF4)
    | ~ spl20_57 ),
    inference(superposition,[],[f68,f2624]) ).

fof(f2629,plain,
    ( sF3 = u(sF4,sF2)
    | ~ spl20_57 ),
    inference(superposition,[],[f70,f2624]) ).

fof(f2643,plain,
    ( sF2 = sF5
    | ~ spl20_57 ),
    inference(forward_demodulation,[],[f2628,f74]) ).

fof(f2644,plain,
    ( sF6 = u(sF4,sF2)
    | ~ spl20_57 ),
    inference(superposition,[],[f76,f2643]) ).

fof(f2659,plain,
    ( sF3 = sF6
    | ~ spl20_57 ),
    inference(forward_demodulation,[],[f2644,f2629]) ).

fof(f2666,plain,
    ( mem(sF3,sF3)
    | ~ spl20_57 ),
    inference(superposition,[],[f193,f2659]) ).

fof(f2685,plain,
    ( $false
    | ~ spl20_57
    | spl20_72 ),
    inference(forward_subsumption_resolution,[],[f2666,f1884]) ).

fof(f2686,plain,
    ( ~ spl20_57
    | spl20_72 ),
    inference(avatar_contradiction_clause,[],[f2685]) ).

fof(f2827,plain,
    ( mem(e,sF4)
    | ~ spl20_19 ),
    inference(resolution,[],[f698,f337]) ).

fof(f2831,plain,
    ( e = sF3
    | ~ spl20_19 ),
    inference(resolution,[],[f2827,f145]) ).

fof(f2839,plain,
    ( mem(sF3,sF3)
    | ~ spl20_19 ),
    inference(superposition,[],[f154,f2831]) ).

fof(f2852,plain,
    ( $false
    | ~ spl20_19
    | spl20_72 ),
    inference(forward_subsumption_resolution,[],[f2839,f1884]) ).

fof(f2853,plain,
    ( ~ spl20_19
    | spl20_72 ),
    inference(avatar_contradiction_clause,[],[f2852]) ).

fof(f2894,plain,
    ( mem(sF17,sF2)
    | ~ spl20_31 ),
    inference(resolution,[],[f623,f188]) ).

fof(f2957,plain,
    ( e = sF17
    | ~ spl20_31 ),
    inference(resolution,[],[f2894,f144]) ).

fof(f2960,plain,
    ( ! [X0] : ~ mem(X0,sF17)
    | ~ spl20_31 ),
    inference(superposition,[],[f50,f2957]) ).

fof(f2983,plain,
    ( $false
    | ~ spl20_31 ),
    inference(resolution,[],[f2960,f307]) ).

fof(f2999,plain,
    ~ spl20_31,
    inference(avatar_contradiction_clause,[],[f2983]) ).

cnf(s7,plain,
    ( spl20_15
    | spl20_16 ),
    inference(sat_conversion,[],[f525]) ).

cnf(s28,plain,
    ~ spl20_23,
    inference(sat_conversion,[],[f866]) ).

cnf(s39,plain,
    ( ~ spl20_15
    | spl20_19
    | spl20_22
    | spl20_23
    | spl20_57
    | spl20_58 ),
    inference(sat_conversion,[],[f1068]) ).

cnf(s48,plain,
    ( ~ spl20_30
    | spl20_63
    | spl20_64 ),
    inference(sat_conversion,[],[f1227]) ).

cnf(s51,plain,
    ( ~ spl20_64
    | spl20_65
    | spl20_66 ),
    inference(sat_conversion,[],[f1346]) ).

cnf(s54,plain,
    ( spl20_36
    | ~ spl20_66 ),
    inference(sat_conversion,[],[f1427]) ).

cnf(s60,plain,
    ~ spl20_36,
    inference(sat_conversion,[],[f1523]) ).

cnf(s63,plain,
    ( ~ spl20_16
    | spl20_27
    | spl20_30
    | spl20_31
    | spl20_50
    | spl20_67 ),
    inference(sat_conversion,[],[f1545]) ).

cnf(s65,plain,
    ( spl20_63
    | ~ spl20_65 ),
    inference(sat_conversion,[],[f1571]) ).

cnf(s70,plain,
    ~ spl20_63,
    inference(sat_conversion,[],[f1702]) ).

cnf(s78,plain,
    ( spl20_65
    | ~ spl20_67 ),
    inference(sat_conversion,[],[f1812]) ).

cnf(s79,plain,
    ( ~ spl20_50
    | spl20_63 ),
    inference(sat_conversion,[],[f1833]) ).

cnf(s83,plain,
    ( ~ spl20_27
    | spl20_72
    | spl20_73 ),
    inference(sat_conversion,[],[f1890]) ).

cnf(s85,plain,
    ~ spl20_72,
    inference(sat_conversion,[],[f1944]) ).

cnf(s86,plain,
    ( spl20_72
    | ~ spl20_73 ),
    inference(sat_conversion,[],[f1966]) ).

cnf(s102,plain,
    ( ~ spl20_22
    | spl20_72 ),
    inference(sat_conversion,[],[f2218]) ).

cnf(s106,plain,
    ( ~ spl20_58
    | spl20_72 ),
    inference(sat_conversion,[],[f2462]) ).

cnf(s116,plain,
    ( ~ spl20_57
    | spl20_72 ),
    inference(sat_conversion,[],[f2686]) ).

cnf(s122,plain,
    ( ~ spl20_19
    | spl20_72 ),
    inference(sat_conversion,[],[f2853]) ).

cnf(s139,plain,
    ~ spl20_31,
    inference(sat_conversion,[],[f2999]) ).

cnf(s141,plain,
    ~ spl20_19,
    inference(rat,[],[s122,s85]) ).

cnf(s142,plain,
    ~ spl20_57,
    inference(rat,[],[s116,s85]) ).

cnf(s143,plain,
    ~ spl20_58,
    inference(rat,[],[s106,s85]) ).

cnf(s144,plain,
    ~ spl20_22,
    inference(rat,[],[s102,s85]) ).

cnf(s145,plain,
    ~ spl20_73,
    inference(rat,[],[s86,s85]) ).

cnf(s148,plain,
    ~ spl20_27,
    inference(rat,[],[s83,s145,s85]) ).

cnf(s150,plain,
    ~ spl20_50,
    inference(rat,[],[s79,s70]) ).

cnf(s152,plain,
    ~ spl20_65,
    inference(rat,[],[s65,s70]) ).

cnf(s154,plain,
    ~ spl20_67,
    inference(rat,[],[s78,s152]) ).

cnf(s158,plain,
    ( ~ spl20_16
    | spl20_30 ),
    inference(rat,[],[s63,s154,s150,s139,s148]) ).

cnf(s159,plain,
    ~ spl20_66,
    inference(rat,[],[s54,s60]) ).

cnf(s160,plain,
    ~ spl20_64,
    inference(rat,[],[s51,s159,s152]) ).

cnf(s161,plain,
    ~ spl20_30,
    inference(rat,[],[s48,s160,s70]) ).

cnf(s163,plain,
    ~ spl20_16,
    inference(rat,[],[s158,s161]) ).

cnf(s167,plain,
    ( ~ spl20_15
    | spl20_23 ),
    inference(rat,[],[s39,s143,s142,s144,s141]) ).

cnf(s171,plain,
    ~ spl20_15,
    inference(rat,[],[s167,s28]) ).

cnf(s173,plain,
    $false,
    inference(rat,[],[s7,s163,s171]) ).

fof(f3000,plain,
    $false,
    inference(avatar_sat_refutation,[],[s173]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV560+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n008.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Mon Sep 28 06:37:09 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.70/2.22  % (2047797)Detected formulas, will run a generic FOF schedule.
% 7.70/2.22  % (2047805)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=109687991:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.70/2.22  % (2047805)Refutation not found, incomplete strategy
% 7.70/2.22  % (2047805)------------------------------
% 7.70/2.22  % (2047805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/2.22  % (2047805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/2.22  % (2047805)CaDiCaL version: 2.1.3
% 7.70/2.22  % (2047805)Termination reason: Refutation not found, incomplete strategy
% 7.70/2.22  % (2047805)Time elapsed: 0.001 s
% 7.70/2.22  % (2047805)Peak memory usage: 88 MB
% 7.70/2.22  % (2047803)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=4140315319:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.70/2.22  % (2047802)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=2793638787:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.70/2.22  % (2047807)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3570921739:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.70/2.22  % (2047808)dis-21_1_sil=8000:lcm=predicate:random_seed=3572450509: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)
% 7.70/2.22  % (2047804)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=32565048:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.70/2.22  % (2047806)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=604267678:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.70/2.22  % (2047806)Instruction limit reached! 
% 7.70/2.22  % (2047806)------------------------------
% 7.70/2.22  % (2047806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/2.22  % (2047806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/2.22  % (2047806)CaDiCaL version: 2.1.3
% 7.70/2.22  % (2047806)Termination reason: Instruction limit
% 7.70/2.22  % (2047806)Termination phase: Saturation
% 7.70/2.22  % (2047806)Time elapsed: 0.075 s
% 7.70/2.22  % (2047806)Peak memory usage: 88 MB
% 7.70/2.22  % (2047806)Instructions burned: 120 (million)
% 7.70/2.22  % (2047808)Instruction limit reached! 
% 7.70/2.22  % (2047808)------------------------------
% 7.70/2.22  % (2047808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/2.22  % (2047808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/2.22  % (2047808)CaDiCaL version: 2.1.3
% 7.70/2.22  % (2047808)Termination reason: Instruction limit
% 7.70/2.22  % (2047808)Termination phase: Saturation
% 7.70/2.22  % (2047808)Time elapsed: 0.078 s
% 7.70/2.22  % (2047808)Peak memory usage: 89 MB
% 7.70/2.22  % (2047808)Instructions burned: 130 (million)
% 7.70/2.22  % (2047807)Instruction limit reached! 
% 7.70/2.22  % (2047807)------------------------------
% 7.70/2.22  % (2047807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/2.22  % (2047807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/2.22  % (2047807)CaDiCaL version: 2.1.3
% 7.70/2.22  % (2047807)Termination reason: Instruction limit
% 7.70/2.22  % (2047807)Termination phase: Saturation
% 7.70/2.22  % (2047807)Time elapsed: 0.094 s
% 7.70/2.22  % (2047807)Peak memory usage: 89 MB
% 7.70/2.22  % (2047807)Instructions burned: 140 (million)
% 7.70/2.22  % (2047805)------------------------------
% 7.70/2.22  % (2047805)------------------------------
% 7.70/2.22  % (2047817)lrs+10_1_sil=32000:urr=on:br=off:random_seed=481521572:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.70/2.22  % (2047816)lrs+10_1_sil=8000:sp=occurrence:random_seed=107116918:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.70/2.22  % (2047819)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=1179038218:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 7.70/2.22  % (2047818)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1820394169:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.70/2.22  % (2047818)Refutation not found, incomplete strategy
% 7.70/2.22  % (2047818)------------------------------
% 7.70/2.22  % (2047818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/2.22  % (2047818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/2.22  % (2047818)CaDiCaL version: 2.1.3
% 7.70/2.22  % (2047818)Termination reason: Refutation not found, incomplete strategy
% 7.70/2.22  % (2047818)Time elapsed: 0.012 s
% 7.70/2.22  % (2047818)Peak memory usage: 88 MB
% 7.70/2.22  % (2047818)Instructions burned: 19 (million)
% 7.70/2.22  % (2047817)Instruction limit reached! 
% 7.70/2.22  % (2047817)------------------------------
% 7.70/2.22  % (2047817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/2.22  % (2047817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/2.22  % (2047817)CaDiCaL version: 2.1.3
% 7.70/2.22  % (2047817)Termination reason: Instruction limit
% 7.70/2.22  % (2047817)Termination phase: Saturation
% 7.70/2.22  % (2047817)Time elapsed: 0.079 s
% 7.70/2.22  % (2047817)Peak memory usage: 89 MB
% 7.70/2.22  % (2047817)Instructions burned: 158 (million)
% 7.70/2.22  % (2047819)Instruction limit reached! 
% 7.70/2.22  % (2047819)------------------------------
% 7.70/2.22  % (2047819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/2.22  % (2047819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/2.22  % (2047819)CaDiCaL version: 2.1.3
% 7.70/2.22  % (2047819)Termination reason: Instruction limit
% 7.70/2.22  % (2047819)Termination phase: Saturation
% 7.70/2.22  % (2047819)Time elapsed: 0.074 s
% 7.70/2.22  % (2047819)Peak memory usage: 91 MB
% 7.70/2.22  % (2047819)Instructions burned: 250 (million)
% 7.70/2.22  % (2047816)Instruction limit reached! 
% 7.70/2.22  % (2047816)------------------------------
% 7.70/2.22  % (2047816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/2.22  % (2047816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/2.22  % (2047816)CaDiCaL version: 2.1.3
% 7.70/2.22  % (2047816)Termination reason: Instruction limit
% 7.70/2.22  % (2047816)Termination phase: Saturation
% 7.70/2.22  % (2047816)Time elapsed: 0.188 s
% 7.70/2.22  % (2047816)Peak memory usage: 91 MB
% 7.70/2.22  % (2047816)Instructions burned: 286 (million)
% 7.70/2.22  % (2047825)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3513480394:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 7.70/2.22  % (2047824)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=911297038:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.70/2.22  % (2047824)Refutation not found, incomplete strategy
% 7.70/2.22  % (2047824)------------------------------
% 7.70/2.22  % (2047824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/2.22  % (2047824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/2.22  % (2047824)CaDiCaL version: 2.1.3
% 7.70/2.22  % (2047824)Termination reason: Refutation not found, incomplete strategy
% 7.70/2.22  % (2047824)Time elapsed: 0.002 s
% 7.70/2.22  % (2047824)Peak memory usage: 88 MB
% 7.70/2.22  % (2047824)Instructions burned: 1 (million)
% 7.70/2.22  % (2047818)------------------------------
% 7.70/2.22  % (2047818)------------------------------
% 7.70/2.22  % (2047826)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=928844199:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.70/2.22  % (2047826)Instruction limit reached! 
% 7.70/2.22  % (2047826)------------------------------
% 7.70/2.22  % (2047826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/2.22  % (2047826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/2.22  % (2047826)CaDiCaL version: 2.1.3
% 7.70/2.22  % (2047826)Termination reason: Instruction limit
% 7.70/2.22  % (2047826)Termination phase: Saturation
% 7.70/2.22  % (2047826)Time elapsed: 0.066 s
% 7.70/2.22  % (2047826)Peak memory usage: 89 MB
% 7.70/2.22  % (2047826)Instructions burned: 113 (million)
% 7.70/2.22  % (2047829)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1203807162:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.70/2.22  % (2047824)------------------------------
% 7.70/2.22  % (2047824)------------------------------
% 7.70/2.22  % (2047829)Instruction limit reached! 
% 7.70/2.22  % (2047829)------------------------------
% 7.70/2.22  % (2047829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/2.22  % (2047829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/2.22  % (2047829)CaDiCaL version: 2.1.3
% 7.70/2.22  % (2047829)Termination reason: Instruction limit
% 7.70/2.22  % (2047829)Termination phase: Saturation
% 7.70/2.22  % (2047829)Time elapsed: 0.059 s
% 7.70/2.22  % (2047829)Peak memory usage: 88 MB
% 7.70/2.22  % (2047829)Instructions burned: 128 (million)
% 7.70/2.22  % (2047831)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2965961119:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.70/2.22  % (2047833)lrs+10_1_sil=8000:sp=occurrence:random_seed=801139775:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.70/2.22  % (2047831)Instruction limit reached! 
% 7.70/2.22  % (2047831)------------------------------
% 7.70/2.22  % (2047831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/2.22  % (2047831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/2.22  % (2047831)CaDiCaL version: 2.1.3
% 7.70/2.22  % (2047831)Termination reason: Instruction limit
% 7.70/2.22  % (2047831)Termination phase: Saturation
% 7.70/2.22  % (2047831)Time elapsed: 0.071 s
% 7.70/2.22  % (2047831)Peak memory usage: 89 MB
% 7.70/2.22  % (2047831)Instructions burned: 115 (million)
% 7.70/2.22  % (2047834)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=944530114:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 7.70/2.22  % (2047834)Refutation not found, incomplete strategy
% 7.70/2.22  % (2047834)------------------------------
% 7.70/2.22  % (2047834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.70/2.22  % (2047834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.70/2.22  % (2047834)CaDiCaL version: 2.1.3
% 7.70/2.22  % (2047834)Termination reason: Refutation not found, incomplete strategy
% 7.70/2.22  % (2047834)Time elapsed: 0.001 s
% 7.70/2.22  % (2047834)Peak memory usage: 88 MB
% 7.70/2.22  % (2047802)First to succeed.
% 7.70/2.22  % (2047802)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2047797"
% 7.70/2.22  % (2047803)Also succeeded, but the first one will report.
% 7.70/2.22  % (2047825)Also succeeded, but the first one will report.
% 7.70/2.22  % (2047837)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3593375832:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 7.70/2.22  % (2047834)------------------------------
% 7.70/2.22  % (2047834)------------------------------
% 7.70/2.22  % (2047802)Refutation found. Thanks to Tanya!
% 7.70/2.22  % SZS status Theorem for theBenchmark
% 7.70/2.22  % SZS output start Proof for theBenchmark
% See solution above
% 10.24/2.42  % (2047802)------------------------------
% 10.24/2.42  % (2047802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.42  % (2047802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.42  % (2047802)CaDiCaL version: 2.1.3
% 10.24/2.42  % (2047802)Termination reason: Refutation
% 10.24/2.42  % (2047802)Time elapsed: 0.926 s
% 10.24/2.42  % (2047802)Peak memory usage: 130 MB
% 10.24/2.42  % (2047802)Instructions burned: 1326 (million)
% 10.24/2.42  % (2047802)------------------------------
% 10.24/2.42  % (2047802)------------------------------
% 10.24/2.42  % (2047797)Success in time 1.363 s
% 10.24/2.42  % Vampire exiting
%------------------------------------------------------------------------------