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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : KLE043+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:40:11 AM UTC 2026

% Result   : Theorem 11.12s 2.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  137 (  90 unt;   9 def)
%            Number of atoms       :  188 (  81 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   97 (  46   ~;  42   |;   3   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :  102 (   0 sgn 100   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).

fof(f2,axiom,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).

fof(f5,axiom,
    ! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).

fof(f8,axiom,
    ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).

fof(f9,axiom,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> addition(X0,X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).

fof(f13,axiom,
    ! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_right) ).

fof(f14,axiom,
    ! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_left) ).

fof(f15,axiom,
    ! [X0,X1,X2] :
      ( leq(addition(multiplication(X0,X1),X2),X1)
     => leq(multiplication(star(X0),X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_induction_left) ).

fof(f17,conjecture,
    ! [X0,X1] :
      ( leq(multiplication(star(X0),X1),addition(X1,multiplication(multiplication(X0,star(X0)),X1)))
      & leq(addition(X1,multiplication(multiplication(X0,star(X0)),X1)),multiplication(star(X0),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f18,negated_conjecture,
    ~ ! [X0,X1] :
        ( leq(multiplication(star(X0),X1),addition(X1,multiplication(multiplication(X0,star(X0)),X1)))
        & leq(addition(X1,multiplication(multiplication(X0,star(X0)),X1)),multiplication(star(X0),X1)) ),
    inference(negated_conjecture,[status(cth)],[f17]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( leq(multiplication(star(X0),X2),X1)
      | ~ leq(addition(multiplication(X0,X1),X2),X1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f21,plain,
    ? [X0,X1] :
      ( ~ leq(multiplication(star(X0),X1),addition(X1,multiplication(multiplication(X0,star(X0)),X1)))
      | ~ leq(addition(X1,multiplication(multiplication(X0,star(X0)),X1)),multiplication(star(X0),X1)) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ( leq(X0,X1)
        | addition(X0,X1) != X1 )
      & ( addition(X0,X1) = X1
        | ~ leq(X0,X1) ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f23,plain,
    ( ~ leq(multiplication(star(sK0),sK1),addition(sK1,multiplication(multiplication(sK0,star(sK0)),sK1)))
    | ~ leq(addition(sK1,multiplication(multiplication(sK0,star(sK0)),sK1)),multiplication(star(sK0),sK1)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f21]) ).

fof(f24,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f25,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f27,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f28,plain,
    ! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f31,plain,
    ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    inference(cnf_transformation,[],[f8]) ).

fof(f32,plain,
    ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[],[f9]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | addition(X0,X1) = X1 ),
    inference(cnf_transformation,[],[f22]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( addition(X0,X1) != X1
      | leq(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f37,plain,
    ! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
    inference(cnf_transformation,[],[f13]) ).

fof(f38,plain,
    ! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
    inference(cnf_transformation,[],[f14]) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( ~ leq(addition(multiplication(X0,X1),X2),X1)
      | leq(multiplication(star(X0),X2),X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f41,plain,
    ( ~ leq(multiplication(star(sK0),sK1),addition(sK1,multiplication(multiplication(sK0,star(sK0)),sK1)))
    | ~ leq(addition(sK1,multiplication(multiplication(sK0,star(sK0)),sK1)),multiplication(star(sK0),sK1)) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f42,definition,
    sF2 = star(sK0),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f43,plain,
    star(sK0) = sF2,
    inference(reorient_equations,[],[f42]) ).

fof(f44,definition,
    sF3 = multiplication(sF2,sK1),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f45,plain,
    multiplication(sF2,sK1) = sF3,
    inference(reorient_equations,[],[f44]) ).

fof(f46,definition,
    sF4 = multiplication(sK0,sF2),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f47,plain,
    multiplication(sK0,sF2) = sF4,
    inference(reorient_equations,[],[f46]) ).

fof(f48,definition,
    sF5 = multiplication(sF4,sK1),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f49,plain,
    multiplication(sF4,sK1) = sF5,
    inference(reorient_equations,[],[f48]) ).

fof(f50,definition,
    sF6 = addition(sK1,sF5),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f51,plain,
    addition(sK1,sF5) = sF6,
    inference(reorient_equations,[],[f50]) ).

fof(f52,plain,
    ( ~ leq(sF3,sF6)
    | ~ leq(sF6,sF3) ),
    inference(definition_folding,[],[f41,f45,f43,f51,f49,f47,f43,f51,f49,f47,f43,f45,f43]) ).

fof(f54,definition,
    ( spl7_1
  <=> leq(sF6,sF3) ),
    introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).

fof(f56,plain,
    ( ~ leq(sF6,sF3)
    | spl7_1 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f58,definition,
    ( spl7_2
  <=> leq(sF3,sF6) ),
    introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).

fof(f60,plain,
    ( ~ leq(sF3,sF6)
    | spl7_2 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f61,plain,
    ( ~ spl7_1
    | ~ spl7_2 ),
    inference(avatar_split_clause,[],[f52,f58,f54]) ).

fof(f65,plain,
    sF6 = addition(sF5,sK1),
    inference(superposition,[],[f51,f24]) ).

fof(f69,plain,
    ! [X0] : multiplication(sF2,addition(X0,sK1)) = addition(multiplication(sF2,X0),sF3),
    inference(superposition,[],[f31,f45]) ).

fof(f80,plain,
    leq(addition(one,multiplication(sK0,sF2)),sF2),
    inference(superposition,[],[f37,f43]) ).

fof(f81,plain,
    leq(addition(one,sF4),sF2),
    inference(forward_demodulation,[],[f80,f47]) ).

fof(f84,plain,
    ! [X0] : multiplication(sF4,X0) = multiplication(sK0,multiplication(sF2,X0)),
    inference(superposition,[],[f28,f47]) ).

fof(f121,plain,
    ! [X0] : multiplication(addition(sF2,X0),sK1) = addition(sF3,multiplication(X0,sK1)),
    inference(superposition,[],[f32,f45]) ).

fof(f125,plain,
    ! [X0] : multiplication(addition(X0,sF2),sK1) = addition(multiplication(X0,sK1),sF3),
    inference(superposition,[],[f32,f45]) ).

fof(f133,plain,
    ! [X2,X0,X1] :
      ( multiplication(X1,X2) != multiplication(addition(X0,X1),X2)
      | leq(multiplication(X0,X2),multiplication(X1,X2)) ),
    inference(superposition,[],[f36,f32]) ).

fof(f143,plain,
    ! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)),
    inference(resolution,[],[f35,f38]) ).

fof(f144,plain,
    ! [X0] : star(X0) = addition(one,addition(multiplication(star(X0),X0),star(X0))),
    inference(forward_demodulation,[],[f143,f25]) ).

fof(f151,plain,
    ! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
    inference(superposition,[],[f32,f30]) ).

fof(f166,plain,
    ! [X2,X0,X1] :
      ( ~ leq(addition(X0,multiplication(X1,X2)),X2)
      | leq(multiplication(star(X1),X0),X2) ),
    inference(superposition,[],[f39,f24]) ).

fof(f168,plain,
    multiplication(sF4,sK1) = multiplication(sK0,sF3),
    inference(superposition,[],[f84,f45]) ).

fof(f179,plain,
    sF5 = multiplication(sK0,sF3),
    inference(forward_demodulation,[],[f168,f49]) ).

fof(f183,plain,
    ! [X0] :
      ( ~ leq(addition(sF5,X0),sF3)
      | leq(multiplication(star(sK0),X0),sF3) ),
    inference(superposition,[],[f39,f179]) ).

fof(f188,plain,
    ! [X0] : multiplication(sK0,addition(sF3,X0)) = addition(sF5,multiplication(sK0,X0)),
    inference(superposition,[],[f31,f179]) ).

fof(f189,plain,
    ! [X0] :
      ( ~ leq(addition(sF5,X0),sF3)
      | leq(multiplication(sF2,X0),sF3) ),
    inference(forward_demodulation,[],[f183,f43]) ).

fof(f199,plain,
    ! [X0] : addition(sK1,addition(sF5,X0)) = addition(sF6,X0),
    inference(superposition,[],[f25,f51]) ).

fof(f200,plain,
    ! [X0] : addition(sF6,X0) = addition(sF5,addition(sK1,X0)),
    inference(superposition,[],[f25,f65]) ).

fof(f205,plain,
    ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
    inference(superposition,[],[f24,f25]) ).

fof(f214,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
    inference(superposition,[],[f25,f27]) ).

fof(f215,plain,
    ! [X0] :
      ( X0 != X0
      | leq(X0,X0) ),
    inference(superposition,[],[f36,f27]) ).

fof(f220,plain,
    ( ~ leq(sF5,sF3)
    | leq(multiplication(sF2,sF5),sF3) ),
    inference(superposition,[],[f189,f27]) ).

fof(f221,plain,
    ! [X0] : leq(X0,X0),
    inference(trivial_inequality_removal,[],[f215]) ).

fof(f223,definition,
    ( spl7_7
  <=> leq(multiplication(sF2,sF5),sF3) ),
    introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).

fof(f225,plain,
    ( leq(multiplication(sF2,sF5),sF3)
    | ~ spl7_7 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f227,definition,
    ( spl7_8
  <=> leq(sF5,sF3) ),
    introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).

fof(f229,plain,
    ( ~ leq(sF5,sF3)
    | spl7_8 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f230,plain,
    ( spl7_7
    | ~ spl7_8 ),
    inference(avatar_split_clause,[],[f220,f227,f223]) ).

fof(f240,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,addition(X0,X1)),
    inference(superposition,[],[f214,f24]) ).

fof(f246,plain,
    ! [X0] : star(X0) = addition(one,star(X0)),
    inference(superposition,[],[f214,f144]) ).

fof(f252,plain,
    ! [X0,X1] :
      ( addition(X0,X1) != addition(X0,X1)
      | leq(X0,addition(X0,X1)) ),
    inference(superposition,[],[f36,f214]) ).

fof(f256,plain,
    ! [X0,X1] : leq(X0,addition(X0,X1)),
    inference(trivial_inequality_removal,[],[f252]) ).

fof(f266,plain,
    ! [X0,X1] : leq(X1,addition(X0,X1)),
    inference(superposition,[],[f256,f24]) ).

fof(f383,plain,
    multiplication(addition(one,sF2),sK1) = addition(sK1,sF3),
    inference(superposition,[],[f151,f45]) ).

fof(f428,plain,
    sF2 = addition(one,sF2),
    inference(superposition,[],[f246,f43]) ).

fof(f436,plain,
    ! [X0] : addition(sF2,X0) = addition(one,addition(sF2,X0)),
    inference(superposition,[],[f25,f428]) ).

fof(f991,plain,
    ! [X0] : addition(sF6,multiplication(sK0,X0)) = addition(sK1,multiplication(sK0,addition(sF3,X0))),
    inference(superposition,[],[f199,f188]) ).

fof(f1011,plain,
    addition(sF3,sF5) = multiplication(addition(sF2,sF4),sK1),
    inference(superposition,[],[f121,f49]) ).

fof(f1420,plain,
    ! [X0,X1] :
      ( ~ leq(multiplication(addition(one,X0),X1),X1)
      | leq(multiplication(star(X0),X1),X1) ),
    inference(superposition,[],[f166,f151]) ).

fof(f1951,plain,
    sF2 = addition(addition(one,sF4),sF2),
    inference(resolution,[],[f81,f35]) ).

fof(f1952,plain,
    sF2 = addition(one,addition(sF4,sF2)),
    inference(forward_demodulation,[],[f1951,f25]) ).

fof(f1954,plain,
    sF2 = addition(one,addition(sF2,sF4)),
    inference(superposition,[],[f1952,f24]) ).

fof(f1977,plain,
    sF2 = addition(sF2,sF4),
    inference(forward_demodulation,[],[f1954,f436]) ).

fof(f1984,plain,
    ! [X0] : addition(X0,sF2) = addition(sF2,addition(sF4,X0)),
    inference(superposition,[],[f205,f1977]) ).

fof(f2725,plain,
    multiplication(sF2,sK1) = addition(sK1,sF3),
    inference(superposition,[],[f383,f428]) ).

fof(f2767,plain,
    sF3 = addition(sK1,sF3),
    inference(forward_demodulation,[],[f2725,f45]) ).

fof(f2811,plain,
    addition(sF5,sF3) = addition(sF6,sF3),
    inference(superposition,[],[f200,f2767]) ).

fof(f4403,plain,
    multiplication(sF2,sK1) = addition(sF3,sF5),
    inference(superposition,[],[f1011,f1977]) ).

fof(f4404,plain,
    addition(addition(sF3,sF5),sF3) = multiplication(addition(addition(sF2,sF4),sF2),sK1),
    inference(superposition,[],[f125,f1011]) ).

fof(f4451,plain,
    addition(addition(sF3,sF5),sF3) = multiplication(addition(sF2,addition(sF4,sF2)),sK1),
    inference(forward_demodulation,[],[f4404,f25]) ).

fof(f4452,plain,
    sF3 = addition(sF3,sF5),
    inference(forward_demodulation,[],[f4403,f45]) ).

fof(f4480,plain,
    multiplication(addition(sF2,sF2),sK1) = addition(addition(sF3,sF5),sF3),
    inference(forward_demodulation,[],[f4451,f1984]) ).

fof(f4495,plain,
    multiplication(addition(sF2,sF2),sK1) = addition(sF3,addition(sF5,sF3)),
    inference(forward_demodulation,[],[f4480,f25]) ).

fof(f4502,plain,
    addition(sF5,sF3) = multiplication(addition(sF2,sF2),sK1),
    inference(forward_demodulation,[],[f4495,f240]) ).

fof(f4506,plain,
    multiplication(sF2,sK1) = addition(sF5,sF3),
    inference(forward_demodulation,[],[f4502,f27]) ).

fof(f4509,plain,
    sF3 = addition(sF5,sF3),
    inference(forward_demodulation,[],[f4506,f45]) ).

fof(f4527,plain,
    leq(sF5,sF3),
    inference(superposition,[],[f266,f4452]) ).

fof(f4529,plain,
    ( $false
    | spl7_8 ),
    inference(forward_subsumption_resolution,[],[f4527,f229]) ).

fof(f4530,plain,
    spl7_8,
    inference(avatar_contradiction_clause,[],[f4529]) ).

fof(f5225,plain,
    ! [X0] :
      ( multiplication(sF2,X0) != multiplication(sF2,X0)
      | leq(multiplication(one,X0),multiplication(sF2,X0)) ),
    inference(superposition,[],[f133,f428]) ).

fof(f5276,plain,
    ! [X0] : leq(multiplication(one,X0),multiplication(sF2,X0)),
    inference(trivial_inequality_removal,[],[f5225]) ).

fof(f5306,plain,
    ! [X0] : leq(X0,multiplication(sF2,X0)),
    inference(forward_demodulation,[],[f5276,f30]) ).

fof(f5566,plain,
    ( sF3 = addition(multiplication(sF2,sF5),sF3)
    | ~ spl7_7 ),
    inference(resolution,[],[f225,f35]) ).

fof(f5567,plain,
    ( sF3 = multiplication(sF2,addition(sF5,sK1))
    | ~ spl7_7 ),
    inference(forward_demodulation,[],[f5566,f69]) ).

fof(f5568,plain,
    ( sF3 = multiplication(sF2,sF6)
    | ~ spl7_7 ),
    inference(forward_demodulation,[],[f5567,f65]) ).

fof(f5570,plain,
    ( leq(sF6,sF3)
    | ~ spl7_7 ),
    inference(superposition,[],[f5306,f5568]) ).

fof(f5607,plain,
    ( $false
    | spl7_1
    | ~ spl7_7 ),
    inference(forward_subsumption_resolution,[],[f5570,f56]) ).

fof(f5608,plain,
    ( spl7_1
    | ~ spl7_7 ),
    inference(avatar_contradiction_clause,[],[f5607]) ).

fof(f6495,plain,
    addition(sF5,sF3) = addition(sF3,sF6),
    inference(superposition,[],[f24,f2811]) ).

fof(f6526,plain,
    sF3 = addition(sF3,sF6),
    inference(forward_demodulation,[],[f6495,f4509]) ).

fof(f6538,plain,
    addition(sK1,multiplication(sK0,sF3)) = addition(sF6,multiplication(sK0,sF6)),
    inference(superposition,[],[f991,f6526]) ).

fof(f6558,plain,
    addition(sK1,multiplication(sK0,sF3)) = multiplication(addition(one,sK0),sF6),
    inference(forward_demodulation,[],[f6538,f151]) ).

fof(f6560,plain,
    addition(sK1,sF5) = multiplication(addition(one,sK0),sF6),
    inference(forward_demodulation,[],[f6558,f179]) ).

fof(f6561,plain,
    sF6 = multiplication(addition(one,sK0),sF6),
    inference(forward_demodulation,[],[f6560,f51]) ).

fof(f6562,plain,
    ( ~ leq(sF6,sF6)
    | leq(multiplication(star(sK0),sF6),sF6) ),
    inference(superposition,[],[f1420,f6561]) ).

fof(f6596,plain,
    leq(multiplication(star(sK0),sF6),sF6),
    inference(forward_subsumption_resolution,[],[f6562,f221]) ).

fof(f6610,plain,
    leq(multiplication(sF2,sF6),sF6),
    inference(forward_demodulation,[],[f6596,f43]) ).

fof(f6613,plain,
    ( leq(sF3,sF6)
    | ~ spl7_7 ),
    inference(forward_demodulation,[],[f6610,f5568]) ).

fof(f6614,plain,
    ( $false
    | spl7_2
    | ~ spl7_7 ),
    inference(forward_subsumption_resolution,[],[f6613,f60]) ).

fof(f6615,plain,
    ( spl7_2
    | ~ spl7_7 ),
    inference(avatar_contradiction_clause,[],[f6614]) ).

cnf(s1,plain,
    ( ~ spl7_1
    | ~ spl7_2 ),
    inference(sat_conversion,[],[f61]) ).

cnf(s4,plain,
    ( spl7_7
    | ~ spl7_8 ),
    inference(sat_conversion,[],[f230]) ).

cnf(s31,plain,
    spl7_8,
    inference(sat_conversion,[],[f4530]) ).

cnf(s42,plain,
    ( spl7_1
    | ~ spl7_7 ),
    inference(sat_conversion,[],[f5608]) ).

cnf(s45,plain,
    ( spl7_2
    | ~ spl7_7 ),
    inference(sat_conversion,[],[f6615]) ).

cnf(s50,plain,
    spl7_7,
    inference(rat,[],[s4,s31]) ).

cnf(s51,plain,
    spl7_2,
    inference(rat,[],[s45,s50]) ).

cnf(s52,plain,
    spl7_1,
    inference(rat,[],[s42,s50]) ).

cnf(s54,plain,
    $false,
    inference(rat,[],[s1,s51,s52]) ).

fof(f6616,plain,
    $false,
    inference(avatar_sat_refutation,[],[s54]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KLE043+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n005.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 13:07:02 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 8.73/2.10  % (3975157)Detected formulas, will run a generic FOF schedule.
% 8.73/2.10  % (3975168)dis-21_1_sil=8000:lcm=predicate:random_seed=630797973: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)
% 8.73/2.10  % (3975168)Refutation not found, incomplete strategy
% 8.73/2.10  % (3975168)------------------------------
% 8.73/2.10  % (3975168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.10  % (3975168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.10  % (3975168)CaDiCaL version: 2.1.3
% 8.73/2.10  % (3975168)Termination reason: Refutation not found, incomplete strategy
% 8.73/2.10  % (3975168)Time elapsed: 0.001 s
% 8.73/2.10  % (3975168)Peak memory usage: 88 MB
% 8.73/2.10  % (3975168)Instructions burned: 1 (million)
% 8.73/2.10  % (3975162)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=3666817418:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.73/2.10  % (3975167)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3427169459:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.73/2.10  % (3975166)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3674561799:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.73/2.10  % (3975165)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4200347510:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.73/2.10  % (3975163)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=3344924869:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.73/2.10  % (3975164)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=310407644:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.73/2.10  % (3975165)Refutation not found, incomplete strategy
% 8.73/2.10  % (3975165)------------------------------
% 8.73/2.10  % (3975165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.10  % (3975165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.10  % (3975165)CaDiCaL version: 2.1.3
% 8.73/2.10  % (3975165)Termination reason: Refutation not found, incomplete strategy
% 8.73/2.10  % (3975165)Time elapsed: 0.002 s
% 8.73/2.10  % (3975165)Peak memory usage: 88 MB
% 8.73/2.10  % (3975165)Instructions burned: 1 (million)
% 8.73/2.10  % (3975166)Instruction limit reached! 
% 8.73/2.10  % (3975166)------------------------------
% 8.73/2.10  % (3975166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.10  % (3975166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.10  % (3975166)CaDiCaL version: 2.1.3
% 8.73/2.10  % (3975166)Termination reason: Instruction limit
% 8.73/2.10  % (3975166)Termination phase: Saturation
% 8.73/2.10  % (3975166)Time elapsed: 0.068 s
% 8.73/2.10  % (3975166)Peak memory usage: 89 MB
% 8.73/2.10  % (3975166)Instructions burned: 120 (million)
% 8.73/2.10  % (3975167)Instruction limit reached! 
% 8.73/2.10  % (3975167)------------------------------
% 8.73/2.10  % (3975167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.10  % (3975167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.10  % (3975167)CaDiCaL version: 2.1.3
% 8.73/2.10  % (3975167)Termination reason: Instruction limit
% 8.73/2.10  % (3975167)Termination phase: Saturation
% 8.73/2.10  % (3975167)Time elapsed: 0.085 s
% 8.73/2.10  % (3975167)Peak memory usage: 90 MB
% 8.73/2.10  % (3975167)Instructions burned: 139 (million)
% 8.73/2.10  % (3975168)------------------------------
% 8.73/2.10  % (3975168)------------------------------
% 8.73/2.10  % (3975178)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3615212546:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.73/2.10  % (3975176)lrs+10_1_sil=8000:sp=occurrence:random_seed=4167042410:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.73/2.10  % (3975177)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1789268621:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.73/2.10  % (3975165)------------------------------
% 8.73/2.10  % (3975165)------------------------------
% 8.73/2.10  % (3975178)Instruction limit reached! 
% 8.73/2.10  % (3975178)------------------------------
% 11.12/2.49  % (3975178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.49  % (3975178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.49  % (3975178)CaDiCaL version: 2.1.3
% 11.12/2.49  % (3975178)Termination reason: Instruction limit
% 11.12/2.49  % (3975178)Termination phase: Saturation
% 11.12/2.49  % (3975178)Time elapsed: 0.099 s
% 11.12/2.49  % (3975178)Peak memory usage: 91 MB
% 11.12/2.49  % (3975178)Instructions burned: 325 (million)
% 11.12/2.49  % (3975177)Instruction limit reached! 
% 11.12/2.49  % (3975177)------------------------------
% 11.12/2.49  % (3975177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.49  % (3975177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.49  % (3975177)CaDiCaL version: 2.1.3
% 11.12/2.49  % (3975177)Termination reason: Instruction limit
% 11.12/2.49  % (3975177)Termination phase: Saturation
% 11.12/2.49  % (3975177)Time elapsed: 0.098 s
% 11.12/2.49  % (3975177)Peak memory usage: 90 MB
% 11.12/2.49  % (3975177)Instructions burned: 159 (million)
% 11.12/2.49  % (3975182)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=371108556:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 11.12/2.49  % (3975183)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2528261077:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 11.12/2.49  % (3975183)Refutation not found, incomplete strategy
% 11.12/2.49  % (3975183)------------------------------
% 11.12/2.49  % (3975183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.49  % (3975183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.49  % (3975183)CaDiCaL version: 2.1.3
% 11.12/2.49  % (3975183)Termination reason: Refutation not found, incomplete strategy
% 11.12/2.49  % (3975183)Time elapsed: 0.001 s
% 11.12/2.49  % (3975183)Peak memory usage: 88 MB
% 11.12/2.49  % (3975183)Instructions burned: 1 (million)
% 11.12/2.49  % (3975176)Instruction limit reached! 
% 11.12/2.49  % (3975176)------------------------------
% 11.12/2.49  % (3975176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.49  % (3975176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.49  % (3975176)CaDiCaL version: 2.1.3
% 11.12/2.49  % (3975176)Termination reason: Instruction limit
% 11.12/2.49  % (3975176)Termination phase: Saturation
% 11.12/2.49  % (3975176)Time elapsed: 0.183 s
% 11.12/2.49  % (3975176)Peak memory usage: 91 MB
% 11.12/2.49  % (3975176)Instructions burned: 285 (million)
% 11.12/2.49  % (3975184)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2127405620:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 11.12/2.49  % (3975187)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1335800275:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 11.12/2.49  % (3975187)Refutation not found, incomplete strategy
% 11.12/2.49  % (3975187)------------------------------
% 11.12/2.49  % (3975187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.49  % (3975187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.49  % (3975187)CaDiCaL version: 2.1.3
% 11.12/2.49  % (3975187)Termination reason: Refutation not found, incomplete strategy
% 11.12/2.49  % (3975187)Time elapsed: 0.002 s
% 11.12/2.49  % (3975187)Peak memory usage: 88 MB
% 11.12/2.49  % (3975187)Instructions burned: 1 (million)
% 11.12/2.49  % (3975183)------------------------------
% 11.12/2.49  % (3975183)------------------------------
% 11.12/2.49  % (3975182)Instruction limit reached! 
% 11.12/2.49  % (3975182)------------------------------
% 11.12/2.49  % (3975182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.49  % (3975182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.49  % (3975182)CaDiCaL version: 2.1.3
% 11.12/2.49  % (3975182)Termination reason: Instruction limit
% 11.12/2.49  % (3975182)Termination phase: Saturation
% 11.12/2.49  % (3975182)Time elapsed: 0.159 s
% 11.12/2.49  % (3975182)Peak memory usage: 91 MB
% 11.12/2.49  % (3975182)Instructions burned: 248 (million)
% 11.12/2.49  % (3975164)Refutation not found, incomplete strategy
% 11.12/2.49  % (3975164)------------------------------
% 11.12/2.49  % (3975164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.49  % (3975164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.49  % (3975164)CaDiCaL version: 2.1.3
% 11.12/2.49  % (3975164)Termination reason: Refutation not found, incomplete strategy
% 11.12/2.49  % (3975164)Time elapsed: 0.612 s
% 11.12/2.49  % (3975164)Peak memory usage: 128 MB
% 11.12/2.49  % (3975164)Instructions burned: 906 (million)
% 11.12/2.49  % (3975190)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2460453814:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 11.12/2.49  % (3975190)Refutation not found, incomplete strategy
% 11.12/2.49  % (3975190)------------------------------
% 11.12/2.49  % (3975190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.49  % (3975190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.49  % (3975190)CaDiCaL version: 2.1.3
% 11.12/2.49  % (3975190)Termination reason: Refutation not found, incomplete strategy
% 11.12/2.49  % (3975190)Time elapsed: 0.001 s
% 11.12/2.49  % (3975190)Peak memory usage: 88 MB
% 11.12/2.49  % (3975191)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=499659540:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 11.12/2.49  % (3975191)Refutation not found, incomplete strategy
% 11.12/2.49  % (3975191)------------------------------
% 11.12/2.49  % (3975191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.49  % (3975191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.49  % (3975191)CaDiCaL version: 2.1.3
% 11.12/2.49  % (3975191)Termination reason: Refutation not found, incomplete strategy
% 11.12/2.49  % (3975191)Time elapsed: 0.004 s
% 11.12/2.49  % (3975191)Peak memory usage: 89 MB
% 11.12/2.49  % (3975191)Instructions burned: 4 (million)
% 11.12/2.49  % (3975187)------------------------------
% 11.12/2.49  % (3975187)------------------------------
% 11.12/2.49  % (3975190)------------------------------
% 11.12/2.49  % (3975190)------------------------------
% 11.12/2.49  % (3975195)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=704054043:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 11.12/2.49  % (3975164)------------------------------
% 11.12/2.49  % (3975164)------------------------------
% 11.12/2.49  % (3975195)Refutation not found, incomplete strategy
% 11.12/2.49  % (3975195)------------------------------
% 11.12/2.49  % (3975195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.49  % (3975195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.49  % (3975195)CaDiCaL version: 2.1.3
% 11.12/2.49  % (3975195)Termination reason: Refutation not found, incomplete strategy
% 11.12/2.49  % (3975195)Time elapsed: 0.001 s
% 11.12/2.49  % (3975195)Peak memory usage: 88 MB
% 11.12/2.49  % (3975195)Instructions burned: 1 (million)
% 11.12/2.49  % (3975194)lrs+10_1_sil=8000:sp=occurrence:random_seed=1966188925:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 11.12/2.49  % (3975191)------------------------------
% 11.12/2.49  % (3975191)------------------------------
% 11.12/2.49  % (3975197)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4266190926:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 11.12/2.49  % (3975195)------------------------------
% 11.12/2.49  % (3975195)------------------------------
% 11.12/2.49  % (3975199)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1060278948:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 11.12/2.49  % (3975199)Refutation not found, incomplete strategy
% 11.12/2.49  % (3975199)------------------------------
% 11.12/2.49  % (3975199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.49  % (3975199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.49  % (3975199)CaDiCaL version: 2.1.3
% 11.12/2.49  % (3975199)Termination reason: Refutation not found, incomplete strategy
% 11.12/2.49  % (3975199)Time elapsed: 0.003 s
% 11.12/2.49  % (3975199)Peak memory usage: 89 MB
% 11.12/2.49  % (3975199)Instructions burned: 2 (million)
% 11.12/2.49  % (3975201)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1184629725:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 11.12/2.49  % (3975201)Refutation not found, incomplete strategy
% 11.12/2.49  % (3975201)------------------------------
% 11.12/2.49  % (3975201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.49  % (3975201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.49  % (3975201)CaDiCaL version: 2.1.3
% 11.12/2.49  % (3975201)Termination reason: Refutation not found, incomplete strategy
% 11.12/2.49  % (3975201)Time elapsed: 0.001 s
% 11.12/2.49  % (3975201)Peak memory usage: 88 MB
% 11.12/2.49  % (3975201)Instructions burned: 1 (million)
% 11.12/2.49  % (3975162)First to succeed.
% 11.12/2.49  % (3975162)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3975157"
% 11.12/2.49  % (3975201)------------------------------
% 11.12/2.49  % (3975201)------------------------------
% 11.12/2.49  % (3975199)------------------------------
% 11.12/2.49  % (3975199)------------------------------
% 11.12/2.49  % (3975204)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=139414084:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 11.12/2.49  % (3975184)Also succeeded, but the first one will report.
% 11.12/2.49  % (3975194)Instruction limit reached! 
% 11.12/2.49  % (3975194)------------------------------
% 11.12/2.49  % (3975194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.49  % (3975194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.49  % (3975194)CaDiCaL version: 2.1.3
% 11.12/2.49  % (3975194)Termination reason: Instruction limit
% 11.12/2.49  % (3975194)Termination phase: Saturation
% 11.12/2.49  % (3975194)Time elapsed: 0.546 s
% 11.12/2.49  % (3975194)Peak memory usage: 96 MB
% 11.12/2.49  % (3975194)Instructions burned: 908 (million)
% 11.12/2.49  % (3975205)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=197062526:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 11.12/2.49  % (3975162)Refutation found. Thanks to Tanya!
% 11.12/2.49  % SZS status Theorem for theBenchmark
% 11.12/2.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/2.71  % (3975162)------------------------------
% 0.18/2.71  % (3975162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.71  % (3975162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.71  % (3975162)CaDiCaL version: 2.1.3
% 0.18/2.71  % (3975162)Termination reason: Refutation
% 0.18/2.71  % (3975162)Time elapsed: 1.240 s
% 0.18/2.71  % (3975162)Peak memory usage: 139 MB
% 0.18/2.71  % (3975162)Instructions burned: 1868 (million)
% 0.18/2.71  % (3975162)------------------------------
% 0.18/2.71  % (3975162)------------------------------
% 0.18/2.71  % (3975157)Success in time 1.644 s
% 0.18/2.71  % Vampire exiting
%------------------------------------------------------------------------------