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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : KLE017+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:40:38 AM UTC 2026

% Result   : Theorem 37.89s 8.92s
% Output   : Refutation 37.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  138 (  43 unt;   6 def)
%            Number of atoms       :  280 (  86 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  229 (  87   ~; 108   |;  16   &)
%                                         (  13 <=>;   3  =>;   0  <=;   2 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   99 (   0 sgn  92   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).

fof(f2,axiom,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).

fof(f8,axiom,
    ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).

fof(f9,axiom,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> addition(X0,X1) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',order) ).

fof(f13,axiom,
    ! [X0] :
      ( test(X0)
    <=> ? [X1] : complement(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_1) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( complement(X1,X0)
    <=> ( multiplication(X0,X1) = zero
        & multiplication(X1,X0) = zero
        & addition(X0,X1) = one ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( test(X0)
     => ( c(X0) = X1
      <=> complement(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).

fof(f17,conjecture,
    ! [X0,X1,X2] :
      ( ( test(X0)
        & test(X1)
        & test(X2) )
     => ( leq(X2,multiplication(X0,X1))
      <=> ( leq(X2,X0)
          & leq(X2,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f18,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( test(X0)
          & test(X1)
          & test(X2) )
       => ( leq(X2,multiplication(X0,X1))
        <=> ( leq(X2,X0)
            & leq(X2,X1) ) ) ),
    inference(negated_conjecture,[status(cth)],[f17]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ( c(X0) = X1
      <=> complement(X0,X1) )
      | ~ test(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f21,plain,
    ? [X0,X1,X2] :
      ( ( leq(X2,multiplication(X0,X1))
      <~> ( leq(X2,X0)
          & leq(X2,X1) ) )
      & test(X0)
      & test(X1)
      & test(X2) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f22,plain,
    ? [X0,X1,X2] :
      ( ( leq(X2,multiplication(X0,X1))
      <~> ( leq(X2,X0)
          & leq(X2,X1) ) )
      & test(X0)
      & test(X1)
      & test(X2) ),
    inference(flattening,[],[f21]) ).

fof(f23,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f24,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f25,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f26,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f28,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f30,plain,
    ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    inference(cnf_transformation,[],[f8]) ).

fof(f31,plain,
    ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[],[f9]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( addition(X0,X1) != X1
      | leq(X0,X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( addition(X0,X1) = X1
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f37,plain,
    ! [X0] :
      ( complement(sK0(X0),X0)
      | ~ test(X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ~ complement(X1,X0)
      | addition(X0,X1) = one ),
    inference(cnf_transformation,[],[f14]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ~ complement(X1,X0)
      | zero = multiplication(X1,X0) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ~ complement(X1,X0)
      | zero = multiplication(X0,X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( zero != multiplication(X0,X1)
      | zero != multiplication(X1,X0)
      | addition(X0,X1) != one
      | complement(X1,X0) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ test(X0)
      | ~ complement(X0,X1)
      | c(X0) = X1 ),
    inference(cnf_transformation,[],[f19]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ test(X0)
      | complement(X0,X1)
      | c(X0) != X1 ),
    inference(cnf_transformation,[],[f19]) ).

fof(f45,plain,
    ( ~ leq(sK3,sK2)
    | ~ leq(sK3,sK1)
    | ~ leq(sK3,multiplication(sK1,sK2)) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f46,plain,
    ( leq(sK3,sK2)
    | leq(sK3,multiplication(sK1,sK2)) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f47,plain,
    ( leq(sK3,sK1)
    | leq(sK3,multiplication(sK1,sK2)) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f48,plain,
    test(sK3),
    inference(cnf_transformation,[],[f22]) ).

fof(f49,plain,
    test(sK2),
    inference(cnf_transformation,[],[f22]) ).

fof(f50,plain,
    test(sK1),
    inference(cnf_transformation,[],[f22]) ).

fof(f51,plain,
    ! [X0] :
      ( ~ test(X0)
      | complement(X0,c(X0)) ),
    inference(equality_resolution,[],[f43]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | addition(X0,X1) = X1 ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | addition(X0,X1) != X1 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f54,plain,
    ! [X0] :
      ( complement(sK0(X0),X0)
      | test(X0) ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f56,plain,
    ! [X0] :
      ( complement(X0,c(X0))
      | test(X0) ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ complement(X0,X1)
      | test(X0)
      | c(X0) = X1 ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f59,plain,
    ~ test(sK1),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f60,plain,
    ~ test(sK2),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f61,plain,
    ~ test(sK3),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f62,plain,
    ( ~ leq(sK3,sK1)
    | ~ leq(sK3,multiplication(sK1,sK2)) ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f63,plain,
    ( ~ leq(sK3,sK2)
    | ~ leq(sK3,multiplication(sK1,sK2)) ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f64,plain,
    ( leq(sK3,sK2)
    | leq(sK3,sK1)
    | leq(sK3,multiplication(sK1,sK2)) ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f66,definition,
    ( spl4_1
  <=> leq(sK3,multiplication(sK1,sK2)) ),
    introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).

fof(f67,plain,
    ( ~ leq(sK3,multiplication(sK1,sK2))
    | spl4_1 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f68,plain,
    ( leq(sK3,multiplication(sK1,sK2))
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f70,definition,
    ( spl4_2
  <=> leq(sK3,sK1) ),
    introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).

fof(f71,plain,
    ( ~ leq(sK3,sK1)
    | spl4_2 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f72,plain,
    ( leq(sK3,sK1)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f74,definition,
    ( spl4_3
  <=> leq(sK3,sK2) ),
    introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).

fof(f75,plain,
    ( ~ leq(sK3,sK2)
    | spl4_3 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f76,plain,
    ( leq(sK3,sK2)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f77,plain,
    ( spl4_1
    | spl4_2
    | spl4_3 ),
    inference(avatar_split_clause,[],[f64,f74,f70,f66]) ).

fof(f78,plain,
    ( ~ spl4_1
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f63,f74,f66]) ).

fof(f79,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f62,f70,f66]) ).

fof(f86,plain,
    ! [X0] :
      ( test(X0)
      | one = addition(X0,sK0(X0)) ),
    inference(resolution,[],[f38,f54]) ).

fof(f87,plain,
    ! [X0] :
      ( one = addition(c(X0),X0)
      | test(X0) ),
    inference(resolution,[],[f38,f56]) ).

fof(f88,plain,
    ! [X0] :
      ( test(X0)
      | one = addition(X0,c(X0)) ),
    inference(forward_demodulation,[],[f87,f23]) ).

fof(f89,plain,
    ! [X0] :
      ( test(X0)
      | zero = multiplication(sK0(X0),X0) ),
    inference(resolution,[],[f39,f54]) ).

fof(f91,plain,
    ! [X0] :
      ( test(X0)
      | zero = multiplication(X0,sK0(X0)) ),
    inference(resolution,[],[f40,f54]) ).

fof(f93,plain,
    ( multiplication(sK1,sK2) = addition(sK3,multiplication(sK1,sK2))
    | spl4_1 ),
    inference(resolution,[],[f52,f67]) ).

fof(f94,plain,
    ( sK1 != addition(sK3,sK1)
    | ~ spl4_2 ),
    inference(resolution,[],[f53,f72]) ).

fof(f100,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
    inference(superposition,[],[f24,f26]) ).

fof(f101,plain,
    ! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
    inference(superposition,[],[f24,f23]) ).

fof(f199,plain,
    ( ! [X0] : addition(multiplication(sK1,sK2),X0) = addition(sK3,addition(multiplication(sK1,sK2),X0))
    | spl4_1 ),
    inference(superposition,[],[f24,f93]) ).

fof(f205,plain,
    ( ! [X0] : multiplication(sK1,addition(sK2,X0)) = addition(sK3,multiplication(sK1,addition(sK2,X0)))
    | spl4_1 ),
    inference(superposition,[],[f199,f30]) ).

fof(f206,plain,
    ( ! [X0] : multiplication(addition(sK1,X0),sK2) = addition(sK3,multiplication(addition(sK1,X0),sK2))
    | spl4_1 ),
    inference(superposition,[],[f199,f31]) ).

fof(f226,plain,
    one = addition(sK1,sK0(sK1)),
    inference(resolution,[],[f86,f59]) ).

fof(f227,plain,
    one = addition(sK2,sK0(sK2)),
    inference(resolution,[],[f86,f60]) ).

fof(f228,plain,
    one = addition(sK3,sK0(sK3)),
    inference(resolution,[],[f86,f61]) ).

fof(f233,plain,
    one = addition(sK3,c(sK3)),
    inference(resolution,[],[f88,f61]) ).

fof(f238,plain,
    zero = multiplication(sK0(sK3),sK3),
    inference(resolution,[],[f89,f61]) ).

fof(f244,plain,
    ( multiplication(one,sK2) = addition(sK3,multiplication(one,sK2))
    | spl4_1 ),
    inference(superposition,[],[f206,f226]) ).

fof(f246,plain,
    ( sK2 = addition(sK3,sK2)
    | spl4_1 ),
    inference(forward_demodulation,[],[f244,f29]) ).

fof(f251,plain,
    zero = multiplication(sK3,sK0(sK3)),
    inference(resolution,[],[f91,f61]) ).

fof(f258,plain,
    ( multiplication(sK1,one) = addition(sK3,multiplication(sK1,one))
    | spl4_1 ),
    inference(superposition,[],[f205,f227]) ).

fof(f260,plain,
    ( sK1 = addition(sK3,sK1)
    | spl4_1 ),
    inference(forward_demodulation,[],[f258,f28]) ).

fof(f261,plain,
    ( $false
    | spl4_1
    | ~ spl4_2 ),
    inference(forward_subsumption_resolution,[],[f260,f94]) ).

fof(f262,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(avatar_contradiction_clause,[],[f261]) ).

fof(f263,plain,
    ( sK1 = addition(sK3,sK1)
    | spl4_2 ),
    inference(resolution,[],[f71,f52]) ).

fof(f264,plain,
    ( sK2 != addition(sK3,sK2)
    | ~ spl4_3 ),
    inference(resolution,[],[f76,f53]) ).

fof(f265,plain,
    ( $false
    | spl4_1
    | ~ spl4_3 ),
    inference(forward_subsumption_resolution,[],[f264,f246]) ).

fof(f266,plain,
    ( spl4_1
    | ~ spl4_3 ),
    inference(avatar_contradiction_clause,[],[f265]) ).

fof(f267,plain,
    ( sK2 = addition(sK3,sK2)
    | spl4_3 ),
    inference(resolution,[],[f75,f52]) ).

fof(f268,plain,
    ( multiplication(sK1,sK2) != addition(sK3,multiplication(sK1,sK2))
    | ~ spl4_1 ),
    inference(resolution,[],[f68,f53]) ).

fof(f283,plain,
    ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,addition(X1,X2))),
    inference(superposition,[],[f100,f30]) ).

fof(f285,plain,
    one = addition(sK1,one),
    inference(superposition,[],[f100,f226]) ).

fof(f313,plain,
    ( ! [X0] : addition(sK1,X0) = addition(sK1,addition(sK3,X0))
    | spl4_2 ),
    inference(superposition,[],[f101,f263]) ).

fof(f685,plain,
    ! [X0] : multiplication(addition(X0,sK0(sK3)),sK3) = addition(multiplication(X0,sK3),zero),
    inference(superposition,[],[f31,f238]) ).

fof(f687,plain,
    ( zero != zero
    | zero != multiplication(sK3,sK0(sK3))
    | one != addition(sK0(sK3),sK3)
    | complement(sK3,sK0(sK3)) ),
    inference(superposition,[],[f41,f238]) ).

fof(f690,plain,
    ( zero != multiplication(sK3,sK0(sK3))
    | one != addition(sK0(sK3),sK3)
    | complement(sK3,sK0(sK3)) ),
    inference(trivial_inequality_removal,[],[f687]) ).

fof(f693,plain,
    ( one != addition(sK3,sK0(sK3))
    | zero != multiplication(sK3,sK0(sK3))
    | complement(sK3,sK0(sK3)) ),
    inference(forward_demodulation,[],[f690,f23]) ).

fof(f695,plain,
    ! [X0] : multiplication(addition(X0,sK0(sK3)),sK3) = multiplication(X0,sK3),
    inference(forward_demodulation,[],[f685,f25]) ).

fof(f701,plain,
    ( zero != multiplication(sK3,sK0(sK3))
    | complement(sK3,sK0(sK3)) ),
    inference(forward_subsumption_resolution,[],[f693,f228]) ).

fof(f704,definition,
    ( spl4_8
  <=> complement(sK3,sK0(sK3)) ),
    introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).

fof(f706,plain,
    ( complement(sK3,sK0(sK3))
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f708,definition,
    ( spl4_9
  <=> zero = multiplication(sK3,sK0(sK3)) ),
    introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).

fof(f711,plain,
    ( spl4_8
    | ~ spl4_9 ),
    inference(avatar_split_clause,[],[f701,f708,f704]) ).

fof(f1796,plain,
    spl4_9,
    inference(avatar_split_clause,[],[f251,f708]) ).

fof(f1805,plain,
    ( test(sK3)
    | sK0(sK3) = c(sK3)
    | ~ spl4_8 ),
    inference(resolution,[],[f706,f57]) ).

fof(f1811,plain,
    ( sK0(sK3) = c(sK3)
    | ~ spl4_8 ),
    inference(forward_subsumption_resolution,[],[f1805,f61]) ).

fof(f1937,plain,
    ( addition(sK1,one) = addition(sK1,c(sK3))
    | spl4_2 ),
    inference(superposition,[],[f313,f233]) ).

fof(f1970,plain,
    ( one = addition(sK1,c(sK3))
    | spl4_2 ),
    inference(forward_demodulation,[],[f1937,f285]) ).

fof(f3291,definition,
    ( spl4_25
  <=> one = addition(sK1,c(sK3)) ),
    introduced(definition,[new_symbols(definition,[spl4_25])],[avatar_definition]) ).

fof(f3293,plain,
    ( one = addition(sK1,c(sK3))
    | ~ spl4_25 ),
    inference(avatar_component_clause,[],[f3291]) ).

fof(f5486,plain,
    ( spl4_25
    | spl4_2 ),
    inference(avatar_split_clause,[],[f1970,f70,f3291]) ).

fof(f8596,plain,
    ( ! [X0] : multiplication(X0,sK2) = addition(multiplication(X0,sK3),multiplication(X0,sK2))
    | spl4_3 ),
    inference(superposition,[],[f283,f267]) ).

fof(f204082,plain,
    ( ! [X0] : multiplication(X0,sK3) = multiplication(addition(X0,c(sK3)),sK3)
    | ~ spl4_8 ),
    inference(forward_demodulation,[],[f695,f1811]) ).

fof(f243874,plain,
    ( multiplication(one,sK3) = multiplication(sK1,sK3)
    | ~ spl4_8
    | ~ spl4_25 ),
    inference(superposition,[],[f204082,f3293]) ).

fof(f244255,plain,
    ( sK3 = multiplication(sK1,sK3)
    | ~ spl4_8
    | ~ spl4_25 ),
    inference(forward_demodulation,[],[f243874,f29]) ).

fof(f262381,plain,
    ( multiplication(sK1,sK2) = addition(sK3,multiplication(sK1,sK2))
    | spl4_3
    | ~ spl4_8
    | ~ spl4_25 ),
    inference(superposition,[],[f8596,f244255]) ).

fof(f262732,plain,
    ( $false
    | ~ spl4_1
    | spl4_3
    | ~ spl4_8
    | ~ spl4_25 ),
    inference(forward_subsumption_resolution,[],[f262381,f268]) ).

fof(f262733,plain,
    ( ~ spl4_1
    | spl4_3
    | ~ spl4_8
    | ~ spl4_25 ),
    inference(avatar_contradiction_clause,[],[f262732]) ).

cnf(s1,plain,
    ( spl4_1
    | spl4_2
    | spl4_3 ),
    inference(sat_conversion,[],[f77]) ).

cnf(s2,plain,
    ( ~ spl4_1
    | ~ spl4_3 ),
    inference(sat_conversion,[],[f78]) ).

cnf(s3,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(sat_conversion,[],[f79]) ).

cnf(s4,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(sat_conversion,[],[f262]) ).

cnf(s5,plain,
    ( spl4_1
    | ~ spl4_3 ),
    inference(sat_conversion,[],[f266]) ).

cnf(s8,plain,
    ( spl4_8
    | ~ spl4_9 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s20,plain,
    spl4_9,
    inference(sat_conversion,[],[f1796]) ).

cnf(s92,plain,
    ( spl4_2
    | spl4_25 ),
    inference(sat_conversion,[],[f5486]) ).

cnf(s207,plain,
    ( ~ spl4_1
    | spl4_3
    | ~ spl4_8
    | ~ spl4_25 ),
    inference(sat_conversion,[],[f262733]) ).

cnf(s230,plain,
    spl4_8,
    inference(rat,[],[s8,s20]) ).

cnf(s234,plain,
    spl4_1,
    inference(rat,[],[s1,s4,s5]) ).

cnf(s236,plain,
    ~ spl4_2,
    inference(rat,[],[s3,s234]) ).

cnf(s237,plain,
    ~ spl4_3,
    inference(rat,[],[s2,s234]) ).

cnf(s238,plain,
    spl4_25,
    inference(rat,[],[s92,s236]) ).

cnf(s239,plain,
    $false,
    inference(rat,[],[s207,s234,s230,s238,s237]) ).

fof(f262993,plain,
    $false,
    inference(avatar_sat_refutation,[],[s239]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KLE017+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.37  % Computer : n006.cluster.edu
% 0.08/0.37  % Model    : x86_64 x86_64
% 0.08/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37  % Memory   : 8046.5625MB
% 0.08/0.37  % OS       : Linux 6.8.0-71-generic
% 0.08/0.37  % CPULimit : 300
% 0.08/0.37  % WCLimit  : 300
% 0.08/0.37  % DateTime : Sun Sep 27 12:58:56 UTC 2026
% 0.08/0.37  % CPUTime  : 
% 0.08/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.41  Running first-order model finding
% 0.08/0.41  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.75/2.53  % (2961766)Will run a generic schedule for satisfiability detection.
% 14.75/2.53  % (2961776)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2018199148:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.75/2.53  % (2961772)% WARNING: option uhcvi not known.
% 14.75/2.53  % (2961773)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=291325924:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.75/2.53  % (2961771)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1702960273_2999 on theBenchmark for (2999ds/0Mi)
% 14.75/2.53  % (2961777)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=126500542:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.75/2.53  % (2961774)dis+10_1_sil=32000:sp=arity:random_seed=1447930946:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.75/2.53  % (2961775)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4001895201:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.75/2.53  % (2961772)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2017613589:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.75/2.53  % TRYING [1]
% 14.75/2.53  % TRYING [2]
% 14.75/2.53  % TRYING [3]
% 14.75/2.53  % TRYING [4]
% 14.75/2.53  % TRYING [5]
% 14.75/2.53  % (2961776)Instruction limit reached! 
% 14.75/2.53  % (2961776)------------------------------
% 14.75/2.53  % (2961776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.75/2.53  % (2961776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.53  % (2961776)CaDiCaL version: 2.1.3
% 14.75/2.53  % (2961776)Termination reason: Instruction limit
% 14.75/2.53  % (2961776)Termination phase: Saturation
% 14.75/2.53  % (2961776)Time elapsed: 0.040 s
% 14.75/2.53  % (2961776)Peak memory usage: 13 MB
% 14.75/2.53  % (2961776)Instructions burned: 133 (million)
% 14.75/2.53  % (2961785)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4147090059:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.75/2.53  % TRYING [1]
% 14.75/2.53  % TRYING [2]
% 14.75/2.53  % TRYING [3]
% 14.75/2.53  % TRYING [4]
% 14.75/2.53  % TRYING [5]
% 14.75/2.53  % (2961774)Instruction limit reached! 
% 14.75/2.53  % (2961774)------------------------------
% 14.75/2.53  % (2961774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.75/2.53  % (2961774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.53  % (2961774)CaDiCaL version: 2.1.3
% 14.75/2.53  % (2961774)Termination reason: Instruction limit
% 14.75/2.53  % (2961774)Termination phase: Saturation
% 14.75/2.53  % (2961774)Time elapsed: 0.061 s
% 14.75/2.53  % (2961774)Peak memory usage: 13 MB
% 14.75/2.53  % (2961774)Instructions burned: 103 (million)
% 14.75/2.53  % (2961775)Instruction limit reached! 
% 14.75/2.53  % (2961775)------------------------------
% 14.75/2.53  % (2961775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.75/2.53  % (2961775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.53  % (2961775)CaDiCaL version: 2.1.3
% 14.75/2.53  % (2961775)Termination reason: Instruction limit
% 14.75/2.53  % (2961775)Termination phase: Saturation
% 14.75/2.53  % (2961775)Time elapsed: 0.067 s
% 14.75/2.53  % (2961775)Peak memory usage: 13 MB
% 14.75/2.53  % (2961775)Instructions burned: 116 (million)
% 14.75/2.53  % TRYING [6]
% 14.75/2.53  % (2961787)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2409168644:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.75/2.53  % (2961788)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=807847208:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 14.75/2.53  % TRYING [6]
% 14.75/2.53  % (2961777)Instruction limit reached! 
% 14.75/2.53  % (2961777)------------------------------
% 14.75/2.53  % (2961777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.75/2.53  % (2961777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.75/2.53  % (2961777)CaDiCaL version: 2.1.3
% 14.75/2.53  % (2961777)Termination reason: Instruction limit
% 14.75/2.53  % (2961777)Termination phase: Saturation
% 14.75/2.53  % (2961777)Time elapsed: 0.105 s
% 14.75/2.53  % (2961777)Peak memory usage: 14 MB
% 14.75/2.53  % (2961777)Instructions burned: 160 (million)
% 14.75/2.53  % (2961791)ott-21_1_sil=16000:fs=off:random_seed=2414164109:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.75/2.53  % TRYING [7]
% 14.75/2.53  % (2961787)Instruction limit reached! 
% 14.75/2.53  % (2961787)------------------------------
% 14.75/2.53  % (2961787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.35/5.91  % (2961787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.35/5.91  % (2961787)CaDiCaL version: 2.1.3
% 38.35/5.91  % (2961787)Termination reason: Instruction limit
% 38.35/5.91  % (2961787)Termination phase: Saturation
% 38.35/5.91  % (2961787)Time elapsed: 0.087 s
% 38.35/5.91  % (2961787)Peak memory usage: 13 MB
% 38.35/5.91  % (2961787)Instructions burned: 132 (million)
% 38.35/5.91  % TRYING [7]
% 38.35/5.91  % (2961793)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3289440109:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 38.35/5.91  % (2961785)Instruction limit reached! 
% 38.35/5.91  % (2961785)------------------------------
% 38.35/5.91  % (2961785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.35/5.91  % (2961785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.35/5.91  % (2961785)CaDiCaL version: 2.1.3
% 38.35/5.91  % (2961785)Termination reason: Instruction limit
% 38.35/5.91  % (2961785)Termination phase: Finite model building constraint generation
% 38.35/5.91  % (2961785)Time elapsed: 0.147 s
% 38.35/5.91  % (2961785)Peak memory usage: 30 MB
% 38.35/5.91  % (2961785)Instructions burned: 719 (million)
% 38.35/5.91  % (2961791)Instruction limit reached! 
% 38.35/5.91  % (2961791)------------------------------
% 38.35/5.91  % (2961791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.35/5.91  % (2961791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.35/5.91  % (2961791)CaDiCaL version: 2.1.3
% 38.35/5.91  % (2961791)Termination reason: Instruction limit
% 38.35/5.91  % (2961791)Termination phase: Saturation
% 38.35/5.91  % (2961791)Time elapsed: 0.079 s
% 38.35/5.91  % (2961791)Peak memory usage: 12 MB
% 38.35/5.91  % (2961791)Instructions burned: 182 (million)
% 38.35/5.91  % (2961795)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3667176501:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 38.35/5.91  % TRYING [1]
% 38.35/5.91  % TRYING [2]
% 38.35/5.91  % TRYING [3]
% 38.35/5.91  % TRYING [4]
% 38.35/5.91  % (2961797)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=555160376:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 38.35/5.91  % TRYING [5]
% 38.35/5.91  % TRYING [6]
% 38.35/5.91  % (2961795)Instruction limit reached! 
% 38.35/5.91  % (2961795)------------------------------
% 38.35/5.91  % (2961795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.35/5.91  % (2961795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.35/5.91  % (2961795)CaDiCaL version: 2.1.3
% 38.35/5.91  % (2961795)Termination reason: Instruction limit
% 38.35/5.91  % (2961795)Termination phase: Finite model building SAT solving
% 38.35/5.91  % (2961795)Time elapsed: 0.176 s
% 38.35/5.91  % (2961795)Peak memory usage: 24 MB
% 38.35/5.91  % (2961795)Instructions burned: 868 (million)
% 38.35/5.91  % (2961799)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=772928405:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 38.35/5.91  % (2961788)Instruction limit reached! 
% 38.35/5.91  % (2961788)------------------------------
% 38.35/5.91  % (2961788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.35/5.91  % (2961788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.35/5.91  % (2961788)CaDiCaL version: 2.1.3
% 38.35/5.91  % (2961788)Termination reason: Instruction limit
% 38.35/5.91  % (2961788)Termination phase: Saturation
% 38.35/5.91  % (2961788)Time elapsed: 0.345 s
% 38.35/5.91  % (2961788)Peak memory usage: 17 MB
% 38.35/5.91  % (2961788)Instructions burned: 684 (million)
% 38.35/5.91  % (2961801)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1842157347:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 38.35/5.91  % TRYING [14]
% 38.35/5.91  % (2961793)Instruction limit reached! 
% 38.35/5.91  % (2961793)------------------------------
% 38.35/5.91  % (2961793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.35/5.91  % (2961793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.35/5.91  % (2961793)CaDiCaL version: 2.1.3
% 38.35/5.91  % (2961793)Termination reason: Instruction limit
% 38.35/5.91  % (2961793)Termination phase: Saturation
% 38.35/5.91  % (2961793)Time elapsed: 0.295 s
% 38.35/5.91  % (2961793)Peak memory usage: 16 MB
% 38.35/5.91  % (2961793)Instructions burned: 477 (million)
% 38.35/5.91  % (2961803)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=524893143:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 37.89/8.92  % TRYING [8]
% 37.89/8.92  % (2961799)Instruction limit reached! 
% 37.89/8.92  % (2961799)------------------------------
% 37.89/8.92  % (2961799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.89/8.92  % (2961799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.89/8.92  % (2961799)CaDiCaL version: 2.1.3
% 37.89/8.92  % (2961799)Termination reason: Instruction limit
% 37.89/8.92  % (2961799)Termination phase: Finite model building constraint generation
% 37.89/8.92  % (2961799)Time elapsed: 0.188 s
% 37.89/8.92  % (2961799)Peak memory usage: 81 MB
% 37.89/8.92  % (2961799)Instructions burned: 894 (million)
% 37.89/8.92  % (2961805)fmb+10_1_sil=64000:random_seed=3624977516:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 37.89/8.92  % TRYING [1]
% 37.89/8.92  % TRYING [2]
% 37.89/8.92  % TRYING [3]
% 37.89/8.92  % TRYING [4]
% 37.89/8.92  % TRYING [5]
% 37.89/8.92  % TRYING [6]
% 37.89/8.92  % TRYING [7]
% 37.89/8.92  % (2961797)Instruction limit reached! 
% 37.89/8.92  % (2961797)------------------------------
% 37.89/8.92  % (2961797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.89/8.92  % (2961797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.89/8.92  % (2961797)CaDiCaL version: 2.1.3
% 37.89/8.92  % (2961797)Termination reason: Instruction limit
% 37.89/8.92  % (2961797)Termination phase: Saturation
% 37.89/8.92  % (2961797)Time elapsed: 0.630 s
% 37.89/8.92  % (2961797)Peak memory usage: 17 MB
% 37.89/8.92  % (2961797)Instructions burned: 1179 (million)
% 37.89/8.92  % (2961801)Instruction limit reached! 
% 37.89/8.92  % (2961801)------------------------------
% 37.89/8.92  % (2961801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.89/8.92  % (2961801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.89/8.92  % (2961801)CaDiCaL version: 2.1.3
% 37.89/8.92  % (2961801)Termination reason: Instruction limit
% 37.89/8.92  % (2961801)Termination phase: Saturation
% 37.89/8.92  % (2961801)Time elapsed: 0.402 s
% 37.89/8.92  % (2961801)Peak memory usage: 18 MB
% 37.89/8.92  % (2961801)Instructions burned: 693 (million)
% 37.89/8.92  % (2961807)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3063642366:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 37.89/8.92  % (2961808)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=289028804:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 37.89/8.92  % TRYING [20]
% 37.89/8.92  % TRYING [8]
% 37.89/8.92  % (2961803)Instruction limit reached! 
% 37.89/8.92  % (2961803)------------------------------
% 37.89/8.92  % (2961803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.89/8.92  % (2961803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.89/8.92  % (2961803)CaDiCaL version: 2.1.3
% 37.89/8.92  % (2961803)Termination reason: Instruction limit
% 37.89/8.92  % (2961803)Termination phase: Saturation
% 37.89/8.92  % (2961803)Time elapsed: 0.510 s
% 37.89/8.92  % (2961803)Peak memory usage: 19 MB
% 37.89/8.92  % (2961803)Instructions burned: 879 (million)
% 37.89/8.92  % (2961811)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1618057330:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 37.89/8.92  % TRYING [8]
% 37.89/8.92  % TRYING [9]
% 37.89/8.92  % (2961808)Instruction limit reached! 
% 37.89/8.92  % (2961808)------------------------------
% 37.89/8.92  % (2961808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.89/8.92  % (2961808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.89/8.92  % (2961808)CaDiCaL version: 2.1.3
% 37.89/8.92  % (2961808)Termination reason: Instruction limit
% 37.89/8.92  % (2961808)Termination phase: Finite model building constraint generation
% 37.89/8.92  % (2961808)Time elapsed: 0.352 s
% 37.89/8.92  % (2961808)Peak memory usage: 65 MB
% 37.89/8.92  % (2961808)Instructions burned: 920 (million)
% 37.89/8.92  % (2961813)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1616947810:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 37.89/8.92  % TRYING [9]
% 37.89/8.92  % (2961813)Instruction limit reached! 
% 37.89/8.92  % (2961813)------------------------------
% 37.89/8.92  % (2961813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.89/8.92  % (2961813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.89/8.92  % (2961813)CaDiCaL version: 2.1.3
% 37.89/8.92  % (2961813)Termination reason: Instruction limit
% 37.89/8.92  % (2961813)Termination phase: Saturation
% 37.89/8.92  % (2961813)Time elapsed: 0.805 s
% 37.89/8.92  % (2961813)Peak memory usage: 34 MB
% 37.89/8.92  % (2961813)Instructions burned: 1472 (million)
% 37.89/8.92  % (2961815)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=629351147:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 37.89/8.92  % TRYING [77]
% 37.89/8.92  % TRYING [10]
% 37.89/8.92  % (2961811)Instruction limit reached! 
% 37.89/8.92  % (2961811)------------------------------
% 37.89/8.92  % (2961811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.89/8.92  % (2961811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.89/8.92  % (2961811)CaDiCaL version: 2.1.3
% 37.89/8.92  % (2961811)Termination reason: Instruction limit
% 37.89/8.92  % (2961811)Termination phase: Saturation
% 37.89/8.92  % (2961811)Time elapsed: 2.702 s
% 37.89/8.92  % (2961811)Peak memory usage: 44 MB
% 37.89/8.92  % (2961811)Instructions burned: 5131 (million)
% 37.89/8.92  % (2961817)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3405633714:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 37.89/8.92  % TRYING [16]
% 37.89/8.92  % TRYING [10]
% 37.89/8.92  % (2961807)Instruction limit reached! 
% 37.89/8.92  % (2961807)------------------------------
% 37.89/8.92  % (2961807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.89/8.92  % (2961807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.89/8.92  % (2961807)CaDiCaL version: 2.1.3
% 37.89/8.92  % (2961807)Termination reason: Instruction limit
% 37.89/8.92  % (2961807)Termination phase: Finite model building constraint generation
% 37.89/8.92  % (2961807)Time elapsed: 3.469 s
% 37.89/8.92  % (2961807)Peak memory usage: 666 MB
% 37.89/8.92  % (2961807)Instructions burned: 9517 (million)
% 37.89/8.92  % (2961815)Instruction limit reached! 
% 37.89/8.92  % (2961815)------------------------------
% 37.89/8.92  % (2961815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.89/8.92  % (2961815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.89/8.92  % (2961815)CaDiCaL version: 2.1.3
% 37.89/8.92  % (2961815)Termination reason: Instruction limit
% 37.89/8.92  % (2961815)Termination phase: Finite model building constraint generation
% 37.89/8.92  % (2961815)Time elapsed: 2.350 s
% 37.89/8.92  % (2961815)Peak memory usage: 459 MB
% 37.89/8.92  % (2961815)Instructions burned: 6325 (million)
% 37.89/8.92  % (2961820)ott-2_1_sil=16000:newcnf=on:random_seed=1071328923:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 37.89/8.92  % (2961817)Instruction limit reached! 
% 37.89/8.92  % (2961817)------------------------------
% 37.89/8.92  % (2961817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.89/8.92  % (2961817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.89/8.92  % (2961817)CaDiCaL version: 2.1.3
% 37.89/8.92  % (2961817)Termination reason: Instruction limit
% 37.89/8.92  % (2961817)Termination phase: Finite model building constraint generation
% 37.89/8.92  % (2961817)Time elapsed: 0.737 s
% 37.89/8.92  % (2961817)Peak memory usage: 135 MB
% 37.89/8.92  % (2961817)Instructions burned: 2175 (million)
% 37.89/8.92  % (2961822)ott+10_1_sil=32000:tgt=ground:random_seed=4231933799:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 37.89/8.92  % (2961824)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1131151122:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 37.89/8.92  % TRYING [1]
% 37.89/8.92  % TRYING [2]
% 37.89/8.92  % TRYING [3]
% 37.89/8.92  % TRYING [4]
% 37.89/8.92  % TRYING [5]
% 37.89/8.92  % TRYING [6]
% 37.89/8.92  % TRYING [7]
% 37.89/8.92  % (2961820)Instruction limit reached! 
% 37.89/8.92  % (2961820)------------------------------
% 37.89/8.92  % (2961820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.89/8.92  % (2961820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.89/8.92  % (2961820)CaDiCaL version: 2.1.3
% 37.89/8.92  % (2961820)Termination reason: Instruction limit
% 37.89/8.92  % (2961820)Termination phase: Saturation
% 37.89/8.92  % (2961820)Time elapsed: 0.460 s
% 37.89/8.92  % (2961820)Peak memory usage: 22 MB
% 37.89/8.92  % (2961820)Instructions burned: 870 (million)
% 37.89/8.92  % (2961826)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1231856117:i=3512:aac=none_2950 on theBenchmark for (2950ds/3512Mi)
% 37.89/8.92  % TRYING [8]
% 37.89/8.92  % TRYING [11]
% 37.89/8.92  % (2961805)Instruction limit reached! 
% 37.89/8.92  % (2961805)------------------------------
% 37.89/8.92  % (2961805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.89/8.92  % (2961805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.89/8.92  % (2961805)CaDiCaL version: 2.1.3
% 37.89/8.92  % (2961805)Termination reason: Instruction limit
% 37.89/8.92  % (2961805)Termination phase: Finite model building constraint generation
% 37.89/8.92  % (2961805)Time elapsed: 4.868 s
% 37.89/8.92  % (2961805)Peak memory usage: 181 MB
% 37.89/8.92  % (2961805)Instructions burned: 22064 (million)
% 37.89/8.92  % (2961828)dis+21_1_sil=32000:sas=cadical:random_seed=3317411898:i=3773:amm=off_2944 on theBenchmark for (2944ds/3773Mi)
% 37.89/8.92  % TRYING [9]
% 37.89/8.92  % (2961828)Instruction limit reached! 
% 37.89/8.92  % (2961828)------------------------------
% 37.89/8.92  % (2961828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.89/8.92  % (2961828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.89/8.92  % (2961828)CaDiCaL version: 2.1.3
% 37.89/8.92  % (2961828)Termination reason: Instruction limit
% 37.89/8.92  % (2961828)Termination phase: Saturation
% 37.89/8.92  % (2961828)Time elapsed: 1.050 s
% 37.89/8.92  % (2961828)Peak memory usage: 38 MB
% 37.89/8.92  % (2961828)Instructions burned: 3776 (million)
% 37.89/8.92  % (2961830)ott+11_1_sil=16000:gs=on:random_seed=3830643287:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2934 on theBenchmark for (2934ds/2251Mi)
% 37.89/8.92  % (2961826)Instruction limit reached! 
% 37.89/8.92  % (2961826)------------------------------
% 37.89/8.92  % (2961826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.89/8.92  % (2961826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.89/8.92  % (2961826)CaDiCaL version: 2.1.3
% 37.89/8.92  % (2961826)Termination reason: Instruction limit
% 37.89/8.92  % (2961826)Termination phase: Saturation
% 37.89/8.92  % (2961826)Time elapsed: 1.786 s
% 37.89/8.92  % (2961826)Peak memory usage: 37 MB
% 37.89/8.92  % (2961826)Instructions burned: 3514 (million)
% 37.89/8.92  % (2961832)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=842390814:fmbsr=1.6:i=67534_2932 on theBenchmark for (2932ds/67534Mi)
% 37.89/8.92  % TRYING [7]
% 37.89/8.92  % (2961830)Instruction limit reached! 
% 37.89/8.92  % (2961830)------------------------------
% 37.89/8.92  % (2961830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.89/8.92  % (2961830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.89/8.92  % (2961830)CaDiCaL version: 2.1.3
% 37.89/8.92  % (2961830)Termination reason: Instruction limit
% 37.89/8.92  % (2961830)Termination phase: Saturation
% 37.89/8.92  % (2961830)Time elapsed: 0.752 s
% 37.89/8.92  % (2961830)Peak memory usage: 27 MB
% 37.89/8.92  % (2961830)Instructions burned: 2253 (million)
% 37.89/8.92  % (2961834)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1190470601:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2926 on theBenchmark for (2926ds/4591Mi)
% 37.89/8.92  % (2961822)Instruction limit reached! 
% 37.89/8.92  % (2961822)------------------------------
% 37.89/8.92  % (2961822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.89/8.92  % (2961822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.89/8.92  % (2961822)CaDiCaL version: 2.1.3
% 37.89/8.92  % (2961822)Termination reason: Instruction limit
% 37.89/8.92  % (2961822)Termination phase: Saturation
% 37.89/8.92  % (2961822)Time elapsed: 2.951 s
% 37.89/8.92  % (2961822)Peak memory usage: 43 MB
% 37.89/8.92  % (2961822)Instructions burned: 5115 (million)
% 37.89/8.92  % (2961836)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2181516436:i=29340_2925 on theBenchmark for (2925ds/29340Mi)
% 37.89/8.92  % TRYING [8]
% 37.89/8.92  % (2961772) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2961766-2961772"...
% 37.89/8.92  % (2961772)...printing done.
% 37.89/8.92  % TRYING [10]
% 37.89/8.92  % (2961772)Refutation found. Thanks to Tanya!
% 37.89/8.92  % SZS status Theorem for theBenchmark
% 37.89/8.92  % SZS output start Proof for theBenchmark
% See solution above
% 37.89/8.92  % (2961772)------------------------------
% 37.89/8.92  % (2961772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.89/8.92  % (2961772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.89/8.92  % (2961772)CaDiCaL version: 2.1.3
% 37.89/8.92  % (2961772)Termination reason: Refutation
% 37.89/8.92  % (2961772)Time elapsed: 8.406 s
% 37.89/8.92  % (2961772)Peak memory usage: 132 MB
% 37.89/8.92  % (2961772)Instructions burned: 15129 (million)
% 37.89/8.92  % (2961766)Success in time 8.501 s
% 37.89/8.92  % Vampire exiting
%------------------------------------------------------------------------------